version
stringclasses 1
value | hypothesis
stringlengths 8
103
| hypothesis_formula
stringlengths 3
36
| facts
stringlengths 0
691
| facts_formula
stringlengths 0
374
| proofs
sequencelengths 0
1
| proofs_formula
sequencelengths 0
1
| negative_hypothesis
stringlengths 8
88
â | negative_hypothesis_formula
stringlengths 3
37
â | negative_proofs
sequencelengths 0
1
| negative_original_tree_depth
int64 0
17
â | original_tree_steps
int64 1
5
| original_tree_depth
int64 1
5
| steps
int64 1
5
â | depth
int64 1
5
â | num_formula_distractors
int64 0
5
| num_translation_distractors
int64 0
0
| num_all_distractors
int64 0
5
| proof_label
stringclasses 3
values | negative_proof_label
stringclasses 2
values | world_assump_label
stringclasses 3
values | negative_world_assump_label
stringclasses 2
values | prompt_serial
stringlengths 71
750
| proof_serial
stringlengths 11
312
| prompt_serial_formula
stringlengths 52
422
| proof_serial_formula
stringlengths 11
216
|
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0.3 | 以äžã®ããã«ä»®å®ããããŽããŽãLv.39äºä»¶ãèµ·ãã | {A} | fact1: ãè³¢ããšããããšã¯çããªãããšããããšã¯ãèããšããããšã¯çºçããªãã粟é²ãããšãçºçããããšããããšãæã fact2: ãŸããŸã¡ã
Lv.39äºä»¶ã¯èµ·ãããªããšããããšã¯ãŽããŽãLv.39äºä»¶ã«é»ãŸãã fact3: èããšããããšã¯èµ·ãããªããšãããšããŽããŽãLv.39äºä»¶ã§ã¯ãªããŠãŸããŸã¡ã
Lv.39äºä»¶ãçããããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact4: ããä»®ã«ããŽããŽãLv.39äºä»¶ã§ã¯ãªããŠãŸããŸã¡ã
Lv.39äºä»¶ãèµ·ããããšããããšã¯æãç«ã€ãšããããšã¯ãªããªãã°ã·ã«ãã·ã«ãLv.79äºä»¶ã¯èµ·ãããªã fact5: ãŸããŸã¡ã
Lv.39äºä»¶ã¯çããªã | fact1: ¬{E} -> (¬{C} & {D}) fact2: {A} -> {B} fact3: ¬{C} -> ¬(¬{A} & {B}) fact4: ¬(¬{A} & {B}) -> ¬{FL} fact5: ¬{B} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããŽããŽãLv.39äºä»¶ãèµ·ãã; fact2 & assump1 -> int1: ãŸããŸã¡ã
Lv.39äºä»¶ãçºçãã; int1 & fact5 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> hypothesis;"
] | [
"void -> assump1: {A}; fact2 & assump1 -> int1: {B}; int1 & fact5 -> int2: #F#; [assump1] & int2 -> hypothesis;"
] | ã·ã«ãã·ã«ãLv.79äºä»¶ã¯çºçããªã | ¬{FL} | [] | 8 | 4 | 3 | 4 | 3 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãè³¢ããšããããšã¯çããªãããšããããšã¯ãèããšããããšã¯çºçããªãã粟é²ãããšãçºçããããšããããšãæã fact2: ãŸããŸã¡ã
Lv.39äºä»¶ã¯èµ·ãããªããšããããšã¯ãŽããŽãLv.39äºä»¶ã«é»ãŸãã fact3: èããšããããšã¯èµ·ãããªããšãããšããŽããŽãLv.39äºä»¶ã§ã¯ãªããŠãŸããŸã¡ã
Lv.39äºä»¶ãçããããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact4: ããä»®ã«ããŽããŽãLv.39äºä»¶ã§ã¯ãªããŠãŸããŸã¡ã
Lv.39äºä»¶ãèµ·ããããšããããšã¯æãç«ã€ãšããããšã¯ãªããªãã°ã·ã«ãã·ã«ãLv.79äºä»¶ã¯èµ·ãããªã fact5: ãŸããŸã¡ã
Lv.39äºä»¶ã¯çããªã ; $hypothesis$ = 以äžã®ããã«ä»®å®ããããŽããŽãLv.39äºä»¶ãèµ·ãã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããŽããŽãLv.39äºä»¶ãèµ·ãã; fact2 & assump1 -> int1: ãŸããŸã¡ã
Lv.39äºä»¶ãçºçãã; int1 & fact5 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{E} -> (¬{C} & {D}) fact2: {A} -> {B} fact3: ¬{C} -> ¬(¬{A} & {B}) fact4: ¬(¬{A} & {B}) -> ¬{FL} fact5: ¬{B} ; $hypothesis$ = {A} ; $proof$ = | void -> assump1: {A}; fact2 & assump1 -> int1: {B}; int1 & fact5 -> int2: #F#; [assump1] & int2 -> hypothesis; __DISPROVED__ |
0.3 | ãŸã®ãŸã«ãLv.26äºä»¶ã¯çºçããªã | ¬{B} | fact1: ãããŸããŸã¡ãLv.21äºä»¶ã¯èµ·ãããªããšããããœã®ãœãLv.32äºä»¶ããŸãã¯ãŸããŸãLv.66äºä»¶ãçãã fact2: ãŸããŸãLv.66äºä»¶ãçãã fact3: ããŸããŸãLv.66äºä»¶ã¯èµ·ããªãããšããããšã¯ããœã®ãœãLv.32äºä»¶ãèµ·ãããããã«ãŸã®ãŸã«ãLv.26äºä»¶ãçºçããããšããããšã«èªçºããã fact4: ãœã®ãœãLv.32äºä»¶ãèµ·ãã fact5: ã·ã«ãã·ãLv.73äºä»¶ãçºçãããšãããšãŸããŸã¡ãLv.21äºä»¶ã¯èµ·ãããªããŠãŸããŸãLv.27äºä»¶ã¯èµ·ããªã fact6: æã¡ç Žãããšãèµ·ãã | fact1: ¬{D} -> ({A} v {C}) fact2: {C} fact3: ({A} & {B}) -> ¬{C} fact4: {A} fact5: {F} -> (¬{D} & ¬{E}) fact6: {DF} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããŸã®ãŸã«ãLv.26äºä»¶ãèµ·ãã; fact4 & assump1 -> int1: ãœã®ãœãLv.32äºä»¶ããã³ãŸã®ãŸã«ãLv.26äºä»¶äž¡æ¹ãšããçºçãã; int1 & fact3 -> int2: ãŸããŸãLv.66äºä»¶ã¯èµ·ããªã; int2 & fact2 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: {B}; fact4 & assump1 -> int1: ({A} & {B}); int1 & fact3 -> int2: ¬{C}; int2 & fact2 -> int3: #F#; [assump1] & int3 -> hypothesis;"
] | 以äžã®ããã«ä»®å®ããããŸã®ãŸã«ãLv.26äºä»¶ãèµ·ãã | {B} | [] | 7 | 5 | 4 | 5 | 4 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãããŸããŸã¡ãLv.21äºä»¶ã¯èµ·ãããªããšããããœã®ãœãLv.32äºä»¶ããŸãã¯ãŸããŸãLv.66äºä»¶ãçãã fact2: ãŸããŸãLv.66äºä»¶ãçãã fact3: ããŸããŸãLv.66äºä»¶ã¯èµ·ããªãããšããããšã¯ããœã®ãœãLv.32äºä»¶ãèµ·ãããããã«ãŸã®ãŸã«ãLv.26äºä»¶ãçºçããããšããããšã«èªçºããã fact4: ãœã®ãœãLv.32äºä»¶ãèµ·ãã fact5: ã·ã«ãã·ãLv.73äºä»¶ãçºçãããšãããšãŸããŸã¡ãLv.21äºä»¶ã¯èµ·ãããªããŠãŸããŸãLv.27äºä»¶ã¯èµ·ããªã fact6: æã¡ç Žãããšãèµ·ãã ; $hypothesis$ = ãŸã®ãŸã«ãLv.26äºä»¶ã¯çºçããªã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããŸã®ãŸã«ãLv.26äºä»¶ãèµ·ãã; fact4 & assump1 -> int1: ãœã®ãœãLv.32äºä»¶ããã³ãŸã®ãŸã«ãLv.26äºä»¶äž¡æ¹ãšããçºçãã; int1 & fact3 -> int2: ãŸããŸãLv.66äºä»¶ã¯èµ·ããªã; int2 & fact2 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{D} -> ({A} v {C}) fact2: {C} fact3: ({A} & {B}) -> ¬{C} fact4: {A} fact5: {F} -> (¬{D} & ¬{E}) fact6: {DF} ; $hypothesis$ = ¬{B} ; $proof$ = | void -> assump1: {B}; fact4 & assump1 -> int1: ({A} & {B}); int1 & fact3 -> int2: ¬{C}; int2 & fact2 -> int3: #F#; [assump1] & int3 -> hypothesis; __PROVED__ |
0.3 | èµ€ããšããããšãèµ·ãã | {C} | fact1: ä»®ã«åž°éããããšãšã·ãã·ã¡ã
Lv.35äºä»¶ã©ã¡ãããçãããšãããèµ€ããšããããšã¯çºçããªã fact2: ãå
·ç³ããããšã§ã¯ãªããŠåãããããšããããšãçããããšããããšã¯å
Œ
±åããããšã«ããçãã fact3: ä»®ã«åž°éããããšãèµ·ãããªããŠã·ãã·ã¡ã
Lv.35äºä»¶ãèµ·ãããªããšãããšãœãªãœãLv.12äºä»¶ã¯çããªã fact4: å
·ç³ããããšã§ã¯ãªãåãããããšããããšãèµ·ãããšãããã·ãã·ã¡ã
Lv.35äºä»¶ãçºçãã fact5: ãã·ãã·ã¡ã
Lv.35äºä»¶ã¯çããªãããšããããšã¯ãèµ€ããšããããšãçãããããŸãã«åž°éããããšãçããããšããããšã®ãã£ãããšãªã fact6: å
Œ
±åããããšãèµ·ãã fact7: åž°éããããšãèµ·ãã | fact1: ({A} & {B}) -> ¬{C} fact2: {D} -> (¬{AA} & {AB}) fact3: (¬{A} & ¬{B}) -> ¬{CT} fact4: (¬{AA} & {AB}) -> {B} fact5: ¬{B} -> ({C} & {A}) fact6: {D} fact7: {A} | [
"fact6 & fact2 -> int1: å
·ç³ããããšãçºçããªããŠåãããããšããããšã¯çºçãã; fact4 & int1 -> int2: ã·ãã·ã¡ã
Lv.35äºä»¶ãèµ·ãã; int2 & fact7 -> int3: åž°éããããšãèµ·ãããããã«ã·ãã·ã¡ã
Lv.35äºä»¶ãçãã; int3 & fact1 -> hypothesis;"
] | [
"fact6 & fact2 -> int1: (¬{AA} & {AB}); fact4 & int1 -> int2: {B}; int2 & fact7 -> int3: ({A} & {B}); int3 & fact1 -> hypothesis;"
] | èµ€ããšããããšãèµ·ãã | {C} | [] | 6 | 4 | 4 | 4 | 4 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ä»®ã«åž°éããããšãšã·ãã·ã¡ã
Lv.35äºä»¶ã©ã¡ãããçãããšãããèµ€ããšããããšã¯çºçããªã fact2: ãå
·ç³ããããšã§ã¯ãªããŠåãããããšããããšãçããããšããããšã¯å
Œ
±åããããšã«ããçãã fact3: ä»®ã«åž°éããããšãèµ·ãããªããŠã·ãã·ã¡ã
Lv.35äºä»¶ãèµ·ãããªããšãããšãœãªãœãLv.12äºä»¶ã¯çããªã fact4: å
·ç³ããããšã§ã¯ãªãåãããããšããããšãèµ·ãããšãããã·ãã·ã¡ã
Lv.35äºä»¶ãçºçãã fact5: ãã·ãã·ã¡ã
Lv.35äºä»¶ã¯çããªãããšããããšã¯ãèµ€ããšããããšãçãããããŸãã«åž°éããããšãçããããšããããšã®ãã£ãããšãªã fact6: å
Œ
±åããããšãèµ·ãã fact7: åž°éããããšãèµ·ãã ; $hypothesis$ = èµ€ããšããããšãèµ·ãã ; $proof$ = | fact6 & fact2 -> int1: å
·ç³ããããšãçºçããªããŠåãããããšããããšã¯çºçãã; fact4 & int1 -> int2: ã·ãã·ã¡ã
Lv.35äºä»¶ãèµ·ãã; int2 & fact7 -> int3: åž°éããããšãèµ·ãããããã«ã·ãã·ã¡ã
Lv.35äºä»¶ãçãã; int3 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({A} & {B}) -> ¬{C} fact2: {D} -> (¬{AA} & {AB}) fact3: (¬{A} & ¬{B}) -> ¬{CT} fact4: (¬{AA} & {AB}) -> {B} fact5: ¬{B} -> ({C} & {A}) fact6: {D} fact7: {A} ; $hypothesis$ = {C} ; $proof$ = | fact6 & fact2 -> int1: (¬{AA} & {AB}); fact4 & int1 -> int2: {B}; int2 & fact7 -> int3: ({A} & {B}); int3 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ã¿ãã¿ã¡ãLv.0ã¯äºæž¬ãé£ããªã | ¬{D}{a} | fact1: ãã®ã·ã¡ã
ã·ãLv.61ã¯å
çãããæŽã«ããã¯é
žåãé£ã fact2: ãã®ã¿ãã¿ã¡ãLv.0ã¯é
žåãé£ã fact3: é
žåãé£ãã¢ã³ã¹ã¿ãŒã¯å
çãã fact4: ããããã®ãŽã¡ããŽãLv.98ã¯å€§äººã£ãœããšããã°ããã®ãŽã¡ããŽãLv.98ã¯æ¿å
¥ãããšããããšã¯èª€ã£ãŠããªã fact5: ãã®ãŸã®ãŸãLv.66ãäºæž¬ãé£ããšããããã®ã¿ãã¿ã¡ãLv.0ã¯äºæž¬ãé£ã fact6: ãã®ã¿ãã¿ã¡ãLv.0ã¯ãããžã¡ã³ãåºæ¥ã | fact1: ({B}{gu} & {A}{gu}) fact2: {A}{a} fact3: (x): {A}x -> {B}x fact4: {GE}{aq} -> {F}{aq} fact5: {D}{b} -> {D}{a} fact6: {C}{a} | [
"fact3 -> int1: ãããä»®ã«ãã®ã¿ãã¿ã¡ãLv.0ãé
žåãé£ããšãããšãã®ã¿ãã¿ã¡ãLv.0ã¯å
çããããšããããšã¯èª€ãã§ãªã; int1 & fact2 -> int2: ãã®ã¿ãã¿ã¡ãLv.0ã¯å
çãã; int2 & fact6 -> int3: ãã®ã¿ãã¿ã¡ãLv.0ã¯å
çããããããžã¡ã³ãåºæ¥ã;"
] | [
"fact3 -> int1: {A}{a} -> {B}{a}; int1 & fact2 -> int2: {B}{a}; int2 & fact6 -> int3: ({B}{a} & {C}{a});"
] | ãã®ã¿ãã¿ã¡ãLv.0ã¯äºæž¬ãé£ã | {D}{a} | [] | 5 | 4 | 4 | null | null | 3 | 0 | 3 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãã®ã·ã¡ã
ã·ãLv.61ã¯å
çãããæŽã«ããã¯é
žåãé£ã fact2: ãã®ã¿ãã¿ã¡ãLv.0ã¯é
žåãé£ã fact3: é
žåãé£ãã¢ã³ã¹ã¿ãŒã¯å
çãã fact4: ããããã®ãŽã¡ããŽãLv.98ã¯å€§äººã£ãœããšããã°ããã®ãŽã¡ããŽãLv.98ã¯æ¿å
¥ãããšããããšã¯èª€ã£ãŠããªã fact5: ãã®ãŸã®ãŸãLv.66ãäºæž¬ãé£ããšããããã®ã¿ãã¿ã¡ãLv.0ã¯äºæž¬ãé£ã fact6: ãã®ã¿ãã¿ã¡ãLv.0ã¯ãããžã¡ã³ãåºæ¥ã ; $hypothesis$ = ãã®ã¿ãã¿ã¡ãLv.0ã¯äºæž¬ãé£ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({B}{gu} & {A}{gu}) fact2: {A}{a} fact3: (x): {A}x -> {B}x fact4: {GE}{aq} -> {F}{aq} fact5: {D}{b} -> {D}{a} fact6: {C}{a} ; $hypothesis$ = ¬{D}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã¿ãªã¿ã«ãLv.14ã¯äŒèŠãã | {C}{b} | fact1: ç¹ããæãã¢ã³ã¹ã¿ãŒã¯ãã fact2: ããç¹ããæããªãããããã¯åããŸãããäž¡æ¹ã§ããããšããããšã¯ééããªãã¢ã³ã¹ã¿ãŒããããšããã°ãã®ãŸããŸã®Lv.59ã¯ãããªã fact3: ããã®ãŸããŸã®Lv.59ã¯ãããªããå²ãé£ãããšããããšã¯çå®ã§ãããšãããšãã®ã¿ãªã¿ã«ãLv.14ã¯äŒèŠããªã fact4: ããã®ãŸã¡ã
ãŸãLv.12ã¯ç¹ããæããªãããããã¯åããŸããããŸãã¯äž¡æ¹ã§ããããšããããšã¯åœã§ãã fact5: ãç¹ããæããªãããããã¯åããŸãããã¢ã³ã¹ã¿ãŒã¯ãã fact6: ãã®ãŸããŸã®Lv.59ã¯å²ãé£ã fact7: ãã®ãŸã¡ã
ãŸãLv.12ã¯ç¹ããæã fact8: ããåããŸãããšããããšã¯ãªãããšããããšã¯ç¢ºãã§ãããã¢ã³ã¹ã¿ãŒã¯ãã | fact1: (Ex): {AA}x fact2: (x): ¬(¬{AA}x v {AB}x) -> {A}{a} fact3: ({A}{a} & {B}{a}) -> ¬{C}{b} fact4: ¬(¬{AA}{c} v {AB}{c}) fact5: (Ex): (¬{AA}x v {AB}x) fact6: {B}{a} fact7: {AA}{c} fact8: (Ex): ¬{AB}x | [
"fact4 -> int1: ããç¹ããæããªãããããã¯åããŸããããããã¯äž¡æ¹ã§ããããšããããšã¯èª€ããªãã¢ã³ã¹ã¿ãŒã¯ãã; int1 & fact2 -> int2: ãã®ãŸããŸã®Lv.59ã¯ãããªã; int2 & fact6 -> int3: ãã®ãŸããŸã®Lv.59ã¯ãããªããæŽã«å²ãé£ã; int3 & fact3 -> hypothesis;"
] | [
"fact4 -> int1: (Ex): ¬(¬{AA}x v {AB}x); int1 & fact2 -> int2: {A}{a}; int2 & fact6 -> int3: ({A}{a} & {B}{a}); int3 & fact3 -> hypothesis;"
] | null | null | [] | null | 4 | 4 | 4 | 4 | 4 | 0 | 4 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ç¹ããæãã¢ã³ã¹ã¿ãŒã¯ãã fact2: ããç¹ããæããªãããããã¯åããŸãããäž¡æ¹ã§ããããšããããšã¯ééããªãã¢ã³ã¹ã¿ãŒããããšããã°ãã®ãŸããŸã®Lv.59ã¯ãããªã fact3: ããã®ãŸããŸã®Lv.59ã¯ãããªããå²ãé£ãããšããããšã¯çå®ã§ãããšãããšãã®ã¿ãªã¿ã«ãLv.14ã¯äŒèŠããªã fact4: ããã®ãŸã¡ã
ãŸãLv.12ã¯ç¹ããæããªãããããã¯åããŸããããŸãã¯äž¡æ¹ã§ããããšããããšã¯åœã§ãã fact5: ãç¹ããæããªãããããã¯åããŸãããã¢ã³ã¹ã¿ãŒã¯ãã fact6: ãã®ãŸããŸã®Lv.59ã¯å²ãé£ã fact7: ãã®ãŸã¡ã
ãŸãLv.12ã¯ç¹ããæã fact8: ããåããŸãããšããããšã¯ãªãããšããããšã¯ç¢ºãã§ãããã¢ã³ã¹ã¿ãŒã¯ãã ; $hypothesis$ = ãã®ã¿ãªã¿ã«ãLv.14ã¯äŒèŠãã ; $proof$ = | fact4 -> int1: ããç¹ããæããªãããããã¯åããŸããããããã¯äž¡æ¹ã§ããããšããããšã¯èª€ããªãã¢ã³ã¹ã¿ãŒã¯ãã; int1 & fact2 -> int2: ãã®ãŸããŸã®Lv.59ã¯ãããªã; int2 & fact6 -> int3: ãã®ãŸããŸã®Lv.59ã¯ãããªããæŽã«å²ãé£ã; int3 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (Ex): {AA}x fact2: (x): ¬(¬{AA}x v {AB}x) -> {A}{a} fact3: ({A}{a} & {B}{a}) -> ¬{C}{b} fact4: ¬(¬{AA}{c} v {AB}{c}) fact5: (Ex): (¬{AA}x v {AB}x) fact6: {B}{a} fact7: {AA}{c} fact8: (Ex): ¬{AB}x ; $hypothesis$ = {C}{b} ; $proof$ = | fact4 -> int1: (Ex): ¬(¬{AA}x v {AB}x); int1 & fact2 -> int2: {A}{a}; int2 & fact6 -> int3: ({A}{a} & {B}{a}); int3 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | ç¡çç¡ããšããããšãèµ·ãã | {F} | fact1: ã芪ããããšããããšããã³æºã蟌ã¿æããšããããšãçºçããããšããããšã¯ãæãé£ããšããããšã¯çºçããªãããšããããšãåŒãèµ·ãã fact2: ããã芪ããããšããããšã¯èµ·ããªããšããã°çŽ ã£æ°ãªããšããããšã¯çºçããªããŠãã®äžæºãããªããšããããšã¯çããªã fact3: æãé£ããšããããšã¯çºçããªããŠã¿ã«ãã¿ã«ãLv.97äºä»¶ã¯çããªããªãç¡çç¡ããšããããšãèµ·ãã fact4: ããããLv.33äºä»¶ãšåçŠ
ããããšäž¡æ¹ãšããçºçãã fact5: ã¿ã«ãã¿ã«ãLv.97äºä»¶ã¯çºçããªã fact6: 芪ããããšããããšããã³çŽ°ãããšããããšã©ã¡ãããèµ·ãã fact7: 现ãããšããããšãèµ·ãã fact8: æºã蟌ã¿æããšããããšãèµ·ãã | fact1: ({A} & {C}) -> ¬{D} fact2: ¬{A} -> (¬{FQ} & ¬{EF}) fact3: (¬{D} & ¬{E}) -> {F} fact4: ({EA} & {HC}) fact5: ¬{E} fact6: ({A} & {B}) fact7: {B} fact8: {C} | [
"fact6 -> int1: 芪ããããšããããšãçºçãã; int1 & fact8 -> int2: 芪ããããšããããšãšæºã蟌ã¿æããšããããšäž¡æ¹ãçãã; int2 & fact1 -> int3: æãé£ããšããããšã¯çããªã; int3 & fact5 -> int4: æãé£ããšããããšã¯èµ·ãããªããŠã¿ã«ãã¿ã«ãLv.97äºä»¶ã¯çºçããªã; int4 & fact3 -> hypothesis;"
] | [
"fact6 -> int1: {A}; int1 & fact8 -> int2: ({A} & {C}); int2 & fact1 -> int3: ¬{D}; int3 & fact5 -> int4: (¬{D} & ¬{E}); int4 & fact3 -> hypothesis;"
] | çŽ ã£æ°ãªããšããããšã¯èµ·ããªããæºãããªããšããããšã¯çºçããªã | (¬{FQ} & ¬{EF}) | [] | 6 | 5 | 5 | 5 | 5 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ã芪ããããšããããšããã³æºã蟌ã¿æããšããããšãçºçããããšããããšã¯ãæãé£ããšããããšã¯çºçããªãããšããããšãåŒãèµ·ãã fact2: ããã芪ããããšããããšã¯èµ·ããªããšããã°çŽ ã£æ°ãªããšããããšã¯çºçããªããŠãã®äžæºãããªããšããããšã¯çããªã fact3: æãé£ããšããããšã¯çºçããªããŠã¿ã«ãã¿ã«ãLv.97äºä»¶ã¯çããªããªãç¡çç¡ããšããããšãèµ·ãã fact4: ããããLv.33äºä»¶ãšåçŠ
ããããšäž¡æ¹ãšããçºçãã fact5: ã¿ã«ãã¿ã«ãLv.97äºä»¶ã¯çºçããªã fact6: 芪ããããšããããšããã³çŽ°ãããšããããšã©ã¡ãããèµ·ãã fact7: 现ãããšããããšãèµ·ãã fact8: æºã蟌ã¿æããšããããšãèµ·ãã ; $hypothesis$ = ç¡çç¡ããšããããšãèµ·ãã ; $proof$ = | fact6 -> int1: 芪ããããšããããšãçºçãã; int1 & fact8 -> int2: 芪ããããšããããšãšæºã蟌ã¿æããšããããšäž¡æ¹ãçãã; int2 & fact1 -> int3: æãé£ããšããããšã¯çããªã; int3 & fact5 -> int4: æãé£ããšããããšã¯èµ·ãããªããŠã¿ã«ãã¿ã«ãLv.97äºä»¶ã¯çºçããªã; int4 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: ({A} & {C}) -> ¬{D} fact2: ¬{A} -> (¬{FQ} & ¬{EF}) fact3: (¬{D} & ¬{E}) -> {F} fact4: ({EA} & {HC}) fact5: ¬{E} fact6: ({A} & {B}) fact7: {B} fact8: {C} ; $hypothesis$ = {F} ; $proof$ = | fact6 -> int1: {A}; int1 & fact8 -> int2: ({A} & {C}); int2 & fact1 -> int3: ¬{D}; int3 & fact5 -> int4: (¬{D} & ¬{E}); int4 & fact3 -> hypothesis; __PROVED__ |
0.3 | ç°è²ã£ãœããšããããšã¯çããªã | ¬{B} | fact1: ããæããæããšããããšãçºçãããã©ç°è²ã£ãœããšããããšã¯èµ·ãããªãããšããããšã¯æãç«ããªãããšããããšã¯æ¬åœã§ãããªãæããæããšããããšã¯èµ·ããªã fact2: æããããšããããšãèµ·ãã fact3: æããããšããããšã¯ãã·ã¡ã
ã·ã«ãLv.14äºä»¶ãçºçãããç°è²ã£ãœããšããããšãèµ·ããããšããããšã«é»ãŸãã fact4: ã·ã¡ã
ã·ã«ãLv.14äºä»¶ãèµ·ãã | fact1: ¬({HA} & ¬{B}) -> ¬{HA} fact2: {C} fact3: ({A} & {B}) -> ¬{C} fact4: {A} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããç°è²ã£ãœããšããããšãèµ·ããããšããããšã¯ç¢ºãã§ãã; fact4 & assump1 -> int1: ã·ã¡ã
ã·ã«ãLv.14äºä»¶ããã³ç°è²ã£ãœããšããããšãèµ·ãã; int1 & fact3 -> int2: æããããšããããšã¯çããªã; int2 & fact2 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: {B}; fact4 & assump1 -> int1: ({A} & {B}); int1 & fact3 -> int2: ¬{C}; int2 & fact2 -> int3: #F#; [assump1] & int3 -> hypothesis;"
] | æããæããšããããšã¯èµ·ãããªã | ¬{HA} | [] | 6 | 5 | 4 | 5 | 4 | 1 | 0 | 1 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããæããæããšããããšãçºçãããã©ç°è²ã£ãœããšããããšã¯èµ·ãããªãããšããããšã¯æãç«ããªãããšããããšã¯æ¬åœã§ãããªãæããæããšããããšã¯èµ·ããªã fact2: æããããšããããšãèµ·ãã fact3: æããããšããããšã¯ãã·ã¡ã
ã·ã«ãLv.14äºä»¶ãçºçãããç°è²ã£ãœããšããããšãèµ·ããããšããããšã«é»ãŸãã fact4: ã·ã¡ã
ã·ã«ãLv.14äºä»¶ãèµ·ãã ; $hypothesis$ = ç°è²ã£ãœããšããããšã¯çããªã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããç°è²ã£ãœããšããããšãèµ·ããããšããããšã¯ç¢ºãã§ãã; fact4 & assump1 -> int1: ã·ã¡ã
ã·ã«ãLv.14äºä»¶ããã³ç°è²ã£ãœããšããããšãèµ·ãã; int1 & fact3 -> int2: æããããšããããšã¯çããªã; int2 & fact2 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬({HA} & ¬{B}) -> ¬{HA} fact2: {C} fact3: ({A} & {B}) -> ¬{C} fact4: {A} ; $hypothesis$ = ¬{B} ; $proof$ = | void -> assump1: {B}; fact4 & assump1 -> int1: ({A} & {B}); int1 & fact3 -> int2: ¬{C}; int2 & fact2 -> int3: #F#; [assump1] & int3 -> hypothesis; __PROVED__ |
0.3 | ãã®ãŽããŽãLv.36ã¯å³ã€ã | {A}{a} | fact1: ãããããã¢ã³ã¹ã¿ãŒã¯å³ã€ãããšããããšã¯ééãã§ãªã | fact1: (x): {A}x | [
"fact1 -> int1: ãããããã¢ã³ã¹ã¿ãŒã¯å³ã€ãããšããããšã¯ééãã§ãªã; int1 -> hypothesis;"
] | [
"fact1 -> int1: (x): {A}x; int1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ãããããã¢ã³ã¹ã¿ãŒã¯å³ã€ãããšããããšã¯ééãã§ãªã ; $hypothesis$ = ãã®ãŽããŽãLv.36ã¯å³ã€ã ; $proof$ = | fact1 -> int1: ãããããã¢ã³ã¹ã¿ãŒã¯å³ã€ãããšããããšã¯ééãã§ãªã; int1 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): {A}x ; $hypothesis$ = {A}{a} ; $proof$ = | fact1 -> int1: (x): {A}x; int1 -> hypothesis; __PROVED__ |
0.3 | ãããä»®ã«åããã©ããªããã©å€§å·®ç¡ããšããã°é Œãç¡ããªããã¢ã³ã¹ã¿ãŒã¯ãã | (Ex): (¬{AA}x & {AB}x) -> ¬{B}x | fact1: ããããµããåããªããæµããæããšãããå®ããšããããšã¯ãªããã¢ã³ã¹ã¿ãŒã¯ãã | fact1: (Ex): (¬{GQ}x & {FN}x) -> ¬{GC}x | [] | [] | null | null | [] | null | 2 | 2 | null | null | 1 | 0 | 1 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ããããµããåããªããæµããæããšãããå®ããšããããšã¯ãªããã¢ã³ã¹ã¿ãŒã¯ãã ; $hypothesis$ = ãããä»®ã«åããã©ããªããã©å€§å·®ç¡ããšããã°é Œãç¡ããªããã¢ã³ã¹ã¿ãŒã¯ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (Ex): (¬{GQ}x & {FN}x) -> ¬{GC}x ; $hypothesis$ = (Ex): (¬{AA}x & {AB}x) -> ¬{B}x ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ãœããœãLv.36ã¯ä»²éããããªããã©å€ªãããšããããšã¯èª€ãã§ãã | ¬(¬{E}{a} & {F}{a}) | fact1: ãã®ãœããœãLv.36ã¯å·èµããªã fact2: ããããã®ã¿ã«ãã¿ã«Lv.43ã倪ããªããšãããšããã¯å€ªããšããããšã¯ãªãããã©å®ãç¶ã fact3: ãã®ãœããœãLv.36ãããã©ããšããã°ãã®ãœããœãLv.36ã¯è¡ãæã fact4: ãã®ãœããœãLv.36ã¯ããã©ã fact5: ãããã®ãœããœãLv.36ãè¡ãæããªããã®ãœããœãLv.36ã¯åŸ¡åŒ·ã fact6: ãã®ãœããœãLv.36ãæŒãæããšããã°ãã®ãœããœãLv.36ã¯ä»²éããããªã fact7: ãããã®ãœããœãLv.36ã¯åŸ¡åŒ·ãããŸãã¯æŒãæãããããã¯ã©ã¡ããã ãšããã°ããã¯ä»²éããããªã | fact1: ¬{IP}{a} fact2: ¬{F}{fq} -> (¬{F}{fq} & {BL}{fq}) fact3: {A}{a} -> {B}{a} fact4: {A}{a} fact5: {B}{a} -> {C}{a} fact6: {D}{a} -> ¬{E}{a} fact7: ({C}{a} v {D}{a}) -> ¬{E}{a} | [
"fact3 & fact4 -> int1: ãã®ãœããœãLv.36ã¯è¡ãæã; int1 & fact5 -> int2: ãã®ãœããœãLv.36ã¯åŸ¡åŒ·ã; int2 -> int3: ãã®ãœããœãLv.36ã¯åŸ¡åŒ·ããããã¯æŒãæã; int3 & fact7 -> int4: ãã®ãœããœãLv.36ã¯ä»²éããããªã;"
] | [
"fact3 & fact4 -> int1: {B}{a}; int1 & fact5 -> int2: {C}{a}; int2 -> int3: ({C}{a} v {D}{a}); int3 & fact7 -> int4: ¬{E}{a};"
] | null | null | [] | null | 5 | 5 | null | null | 3 | 0 | 3 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãã®ãœããœãLv.36ã¯å·èµããªã fact2: ããããã®ã¿ã«ãã¿ã«Lv.43ã倪ããªããšãããšããã¯å€ªããšããããšã¯ãªãããã©å®ãç¶ã fact3: ãã®ãœããœãLv.36ãããã©ããšããã°ãã®ãœããœãLv.36ã¯è¡ãæã fact4: ãã®ãœããœãLv.36ã¯ããã©ã fact5: ãããã®ãœããœãLv.36ãè¡ãæããªããã®ãœããœãLv.36ã¯åŸ¡åŒ·ã fact6: ãã®ãœããœãLv.36ãæŒãæããšããã°ãã®ãœããœãLv.36ã¯ä»²éããããªã fact7: ãããã®ãœããœãLv.36ã¯åŸ¡åŒ·ãããŸãã¯æŒãæãããããã¯ã©ã¡ããã ãšããã°ããã¯ä»²éããããªã ; $hypothesis$ = ããã®ãœããœãLv.36ã¯ä»²éããããªããã©å€ªãããšããããšã¯èª€ãã§ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{IP}{a} fact2: ¬{F}{fq} -> (¬{F}{fq} & {BL}{fq}) fact3: {A}{a} -> {B}{a} fact4: {A}{a} fact5: {B}{a} -> {C}{a} fact6: {D}{a} -> ¬{E}{a} fact7: ({C}{a} v {D}{a}) -> ¬{E}{a} ; $hypothesis$ = ¬(¬{E}{a} & {F}{a}) ; $proof$ = | __UNKNOWN__ |
0.3 | ããã¿ã«ã
ã¿ãLv.30äºä»¶ã¯èµ·ãããªãããšããããšããããã¯ãæž
ããšããããšã¯èµ·ããªãããšããããšããããã¯ã©ã¡ããã¯ãŽããŽã«Lv.30äºä»¶ã«ããçºçããããšããããšã¯æãç«ããªã | ¬({A} -> (¬{D} v ¬{C})) | fact1: ããããŽããŽã«Lv.30äºä»¶ããŸãã¯æ··åãæããšããããšããããã¯äž¡æ¹ãèµ·ããããšããããšã¯æãç«ã€ãšããããæž
ããšããããšã¯çããªãããšããããšã¯ééãã§ãªã fact2: æž
ããšããããšãèµ·ãã | fact1: ({A} v {B}) -> ¬{C} fact2: {C} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããŽããŽã«Lv.30äºä»¶ãèµ·ãã; assump1 -> int1: ãŽããŽã«Lv.30äºä»¶ãçããããããã¯æ··åãæããšããããšãçããããŸãã¯äž¡æ¹ã ; int1 & fact1 -> int2: æž
ããšããããšã¯çããªã; int2 -> int3: ã¿ã«ã
ã¿ãLv.30äºä»¶ã¯èµ·ããªãããããã¯æž
ããšããããšã¯çããªããäž¡æ¹ã§ãã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: {A}; assump1 -> int1: ({A} v {B}); int1 & fact1 -> int2: ¬{C}; int2 -> int3: (¬{D} v ¬{C}); [assump1] & int3 -> hypothesis;"
] | null | null | [] | null | 5 | 3 | 5 | 3 | 1 | 0 | 1 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ããããŽããŽã«Lv.30äºä»¶ããŸãã¯æ··åãæããšããããšããããã¯äž¡æ¹ãèµ·ããããšããããšã¯æãç«ã€ãšããããæž
ããšããããšã¯çããªãããšããããšã¯ééãã§ãªã fact2: æž
ããšããããšãèµ·ãã ; $hypothesis$ = ããã¿ã«ã
ã¿ãLv.30äºä»¶ã¯èµ·ãããªãããšããããšããããã¯ãæž
ããšããããšã¯èµ·ããªãããšããããšããããã¯ã©ã¡ããã¯ãŽããŽã«Lv.30äºä»¶ã«ããçºçããããšããããšã¯æãç«ããªã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããŽããŽã«Lv.30äºä»¶ãèµ·ãã; assump1 -> int1: ãŽããŽã«Lv.30äºä»¶ãçããããããã¯æ··åãæããšããããšãçããããŸãã¯äž¡æ¹ã ; int1 & fact1 -> int2: æž
ããšããããšã¯çããªã; int2 -> int3: ã¿ã«ã
ã¿ãLv.30äºä»¶ã¯èµ·ããªãããããã¯æž
ããšããããšã¯çããªããäž¡æ¹ã§ãã; [assump1] & int3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({A} v {B}) -> ¬{C} fact2: {C} ; $hypothesis$ = ¬({A} -> (¬{D} v ¬{C})) ; $proof$ = | void -> assump1: {A}; assump1 -> int1: ({A} v {B}); int1 & fact1 -> int2: ¬{C}; int2 -> int3: (¬{D} v ¬{C}); [assump1] & int3 -> hypothesis; __DISPROVED__ |
0.3 | 以äžã®ããã«ä»®å®ããããéæŸåºæ¥ãããšãçããããšããããšã¯äºå®ã§ãã | {A} | fact1: è©®ç¡ããšããããšãèµ·ãã fact2: ãœããœã®Lv.99äºä»¶ãèµ·ãã | fact1: {C} fact2: {B} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããéæŸåºæ¥ãããšãçããããšããããšã¯äºå®ã§ãã; assump1 & fact2 -> int1: ãéæŸåºæ¥ãããšããã³ãœããœã®Lv.99äºä»¶ãçããããšããããšã¯æãç«ã€;"
] | [
"void -> assump1: {A}; assump1 & fact2 -> int1: ({A} & {B});"
] | null | null | [] | null | 5 | 4 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: è©®ç¡ããšããããšãèµ·ãã fact2: ãœããœã®Lv.99äºä»¶ãèµ·ãã ; $hypothesis$ = 以äžã®ããã«ä»®å®ããããéæŸåºæ¥ãããšãçããããšããããšã¯äºå®ã§ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {C} fact2: {B} ; $hypothesis$ = {A} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã©ããªããšããããšã¯çºçããªã | ¬{B} | fact1: ä»®ã«å ãé£ããšããããšã¯çºçããªããšããã°ãããªãã«ã
Lv.21äºä»¶ã¯çºçãããã©ä»°åããããšã¯èµ·ããªãããšããããšã¯åœã fact2: ãã©ããªããšããããšã¯å ãé£ããšããããšã«ç±æ¥ãã fact3: ãããªãã«ã
Lv.21äºä»¶ãèµ·ãããæŽã«ä»°åããããšãçºçããããšããããšã¯æãç«ããªã fact4: å ãé£ããšããããšã¯çºçããªããªããããªãã«ã
Lv.21äºä»¶ãèµ·ããããããä»°åããããšãçããããšããããšã¯ééãã§ãã | fact1: ¬{A} -> ¬({AA} & ¬{AB}) fact2: {A} -> {B} fact3: ¬({AA} & {AB}) fact4: ¬{A} -> ¬({AA} & {AB}) | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããå ãé£ããšããããšã¯çºçããªã; fact1 & assump1 -> int1: ãããªãã«ã
Lv.21äºä»¶ã¯çºçããããã©ä»°åããããšã¯èµ·ããªãããšããããšã¯èª€ã£ãŠãã;"
] | [
"void -> assump1: ¬{A}; fact1 & assump1 -> int1: ¬({AA} & ¬{AB});"
] | null | null | [] | null | 5 | 4 | null | null | 2 | 0 | 2 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ä»®ã«å ãé£ããšããããšã¯çºçããªããšããã°ãããªãã«ã
Lv.21äºä»¶ã¯çºçãããã©ä»°åããããšã¯èµ·ããªãããšããããšã¯åœã fact2: ãã©ããªããšããããšã¯å ãé£ããšããããšã«ç±æ¥ãã fact3: ãããªãã«ã
Lv.21äºä»¶ãèµ·ãããæŽã«ä»°åããããšãçºçããããšããããšã¯æãç«ããªã fact4: å ãé£ããšããããšã¯çºçããªããªããããªãã«ã
Lv.21äºä»¶ãèµ·ããããããä»°åããããšãçããããšããããšã¯ééãã§ãã ; $hypothesis$ = ãã©ããªããšããããšã¯çºçããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{A} -> ¬({AA} & ¬{AB}) fact2: {A} -> {B} fact3: ¬({AA} & {AB}) fact4: ¬{A} -> ¬({AA} & {AB}) ; $hypothesis$ = ¬{B} ; $proof$ = | __UNKNOWN__ |
0.3 | 以äžã®ããã«ä»®å®ããããã®ã¿ã«ãã¿ã¡ãLv.78ã¯æããæããã©èª¿æ»ç 究ããªã | ({AA}{aa} & ¬{AB}{aa}) | fact1: ä»®ã«æããæãã¢ã³ã¹ã¿ãŒã調æ»ç 究ãããšããã°é»ã fact2: ãã®ã¿ã«ãã¿ã¡ãLv.78ã¯é»ããªã fact3: ãäœããã®ã¢ã³ã¹ã¿ãŒã¯æããæãããã©èª¿æ»ç 究ããªãããšããããšã¯çå®ã§ãããšãããé»ã fact4: ä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒãããããšããããšã¯ãªããšãããæããæããããã調æ»ç 究ããªã fact5: ããã®ã¿ã«ãã¿ã¡ãLv.78ã¯æããæããæŽã«èª¿æ»ç 究ããããšããããšã¯èª€ãã§ãã | fact1: (x): ({AA}x & {AB}x) -> {B}x fact2: ¬{B}{aa} fact3: (x): ({AA}x & ¬{AB}x) -> {B}x fact4: (x): ¬{A}x -> ({AA}x & ¬{AB}x) fact5: ¬({AA}{aa} & {AB}{aa}) | [
"fact3 -> int1: ããä»®ã«ãã®ã¿ã«ãã¿ã¡ãLv.78ã¯æããæããã©èª¿æ»ç 究ããªããªãé»ã; void -> assump1: 以äžã®ããã«ä»®å®ããããã®ã¿ã«ãã¿ã¡ãLv.78ã¯æããæããã©èª¿æ»ç 究ããªã; int1 & assump1 -> int2: ãã®ã¿ã«ãã¿ã¡ãLv.78ã¯é»ã; int2 & fact2 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis;"
] | [
"fact3 -> int1: ({AA}{aa} & ¬{AB}{aa}) -> {B}{aa}; void -> assump1: ({AA}{aa} & ¬{AB}{aa}); int1 & assump1 -> int2: {B}{aa}; int2 & fact2 -> int3: #F#; [assump1] & int3 -> hypothesis;"
] | 以äžã®ããã«ä»®å®ããããã®ã¿ã«ãã¿ã¡ãLv.78ã¯æããæããã©èª¿æ»ç 究ããªã | ({AA}{aa} & ¬{AB}{aa}) | [
"fact6 -> int4: ä»®ã«ãã®ã¿ã«ãã¿ã¡ãLv.78ãããããªããªããã®ã¿ã«ãã¿ã¡ãLv.78ã¯æããæãããã©ããã¯èª¿æ»ç 究ããªã;"
] | 4 | 5 | 4 | 5 | 4 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ä»®ã«æããæãã¢ã³ã¹ã¿ãŒã調æ»ç 究ãããšããã°é»ã fact2: ãã®ã¿ã«ãã¿ã¡ãLv.78ã¯é»ããªã fact3: ãäœããã®ã¢ã³ã¹ã¿ãŒã¯æããæãããã©èª¿æ»ç 究ããªãããšããããšã¯çå®ã§ãããšãããé»ã fact4: ä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒãããããšããããšã¯ãªããšãããæããæããããã調æ»ç 究ããªã fact5: ããã®ã¿ã«ãã¿ã¡ãLv.78ã¯æããæããæŽã«èª¿æ»ç 究ããããšããããšã¯èª€ãã§ãã ; $hypothesis$ = 以äžã®ããã«ä»®å®ããããã®ã¿ã«ãã¿ã¡ãLv.78ã¯æããæããã©èª¿æ»ç 究ããªã ; $proof$ = | fact3 -> int1: ããä»®ã«ãã®ã¿ã«ãã¿ã¡ãLv.78ã¯æããæããã©èª¿æ»ç 究ããªããªãé»ã; void -> assump1: 以äžã®ããã«ä»®å®ããããã®ã¿ã«ãã¿ã¡ãLv.78ã¯æããæããã©èª¿æ»ç 究ããªã; int1 & assump1 -> int2: ãã®ã¿ã«ãã¿ã¡ãLv.78ã¯é»ã; int2 & fact2 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ({AA}x & {AB}x) -> {B}x fact2: ¬{B}{aa} fact3: (x): ({AA}x & ¬{AB}x) -> {B}x fact4: (x): ¬{A}x -> ({AA}x & ¬{AB}x) fact5: ¬({AA}{aa} & {AB}{aa}) ; $hypothesis$ = ({AA}{aa} & ¬{AB}{aa}) ; $proof$ = | fact3 -> int1: ({AA}{aa} & ¬{AB}{aa}) -> {B}{aa}; void -> assump1: ({AA}{aa} & ¬{AB}{aa}); int1 & assump1 -> int2: {B}{aa}; int2 & fact2 -> int3: #F#; [assump1] & int3 -> hypothesis; __DISPROVED__ |
0.3 | ãããéå転ããããšãçããã°æ¬åœããããšããããšãçããããšããããšã¯åã | ¬({A} -> {C}) | fact1: æ¬åœããããšããããšã¯çããªããšããããšã¯ããœããœã«Lv.46äºä»¶ãèµ·ããããšããããšã«é»æ¢ããã fact2: éå転ããããšã¯ãœããœã«Lv.46äºä»¶ã®ãã£ãããšãªã fact3: ãœããœã«Lv.46äºä»¶ã¯çããªããšããããšã¯ãéå転ããããšãšå€æãé£ããšããããšäž¡æ¹ãèµ·ããããšããããšã«åž°çµãã fact4: ã·ã¡ãã·ãLv.64äºä»¶ãèµ·ãã fact5: æ¯çããšããããšãèµ·ãã | fact1: {B} -> {C} fact2: {A} -> {B} fact3: ¬{B} -> ({A} & {GP}) fact4: {AM} fact5: {GJ} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããéå転ããããšãèµ·ãã; fact2 & assump1 -> int1: ãœããœã«Lv.46äºä»¶ãçãã; int1 & fact1 -> int2: ãæ¬åœããããšããããšãçºçããããšããããšã¯ç¢ºãã ; [assump1] & int2 -> hypothesis;"
] | [
"void -> assump1: {A}; fact2 & assump1 -> int1: {B}; int1 & fact1 -> int2: {C}; [assump1] & int2 -> hypothesis;"
] | å€æãé£ããšããããšãçãã | {GP} | [] | 6 | 4 | 3 | 4 | 3 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: æ¬åœããããšããããšã¯çããªããšããããšã¯ããœããœã«Lv.46äºä»¶ãèµ·ããããšããããšã«é»æ¢ããã fact2: éå転ããããšã¯ãœããœã«Lv.46äºä»¶ã®ãã£ãããšãªã fact3: ãœããœã«Lv.46äºä»¶ã¯çããªããšããããšã¯ãéå転ããããšãšå€æãé£ããšããããšäž¡æ¹ãèµ·ããããšããããšã«åž°çµãã fact4: ã·ã¡ãã·ãLv.64äºä»¶ãèµ·ãã fact5: æ¯çããšããããšãèµ·ãã ; $hypothesis$ = ãããéå転ããããšãçããã°æ¬åœããããšããããšãçããããšããããšã¯åã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ãããéå転ããããšãèµ·ãã; fact2 & assump1 -> int1: ãœããœã«Lv.46äºä»¶ãçãã; int1 & fact1 -> int2: ãæ¬åœããããšããããšãçºçããããšããããšã¯ç¢ºãã ; [assump1] & int2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {B} -> {C} fact2: {A} -> {B} fact3: ¬{B} -> ({A} & {GP}) fact4: {AM} fact5: {GJ} ; $hypothesis$ = ¬({A} -> {C}) ; $proof$ = | void -> assump1: {A}; fact2 & assump1 -> int1: {B}; int1 & fact1 -> int2: {C}; [assump1] & int2 -> hypothesis; __DISPROVED__ |
0.3 | ãããœããœã¡ãLv.87äºä»¶ããããã¯ã¿ã«ã
ã¿ã¡ã
Lv.17äºä»¶ãçºçããããšããããšã¯ããŽããŽãLv.12äºä»¶ã¯çºçããªãããšããããšã«åŒãèµ·ããããããšããããšã¯æ£ãããªã | ¬(¬{B} -> ({D} v {C})) | fact1: ãããã©ã³ã¹äººããããšããããšããããã¯ãŽããŽãLv.12äºä»¶ãäž¡æ¹ãšããçºçãããªãã¿ã«ã
ã¿ã¡ã
Lv.17äºä»¶ãèµ·ãã fact2: ä»®ã«ãã©ã³ã¹äººããããšããããšãçãããšããã°ã ã ã£åºããšããããšãçãã fact3: ãã©ã³ã¹äººããããšããããšã¯ã¿ã«ã
ã¿ã¡ã
Lv.17äºä»¶ã¯èµ·ããªããšããããšãé»æ¢ãã | fact1: ({A} v {B}) -> {C} fact2: {A} -> {CC} fact3: {A} -> {C} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããŽããŽãLv.12äºä»¶ã¯èµ·ãããªã; assump1 -> int1: ãã©ã³ã¹äººããããšããããšã¯çºçããããããã¯ãŽããŽãLv.12äºä»¶ã¯çºçããªãããããã¯äž¡æ¹ãšãã ;"
] | [
"void -> assump1: ¬{B}; assump1 -> int1: ({A} v ¬{B});"
] | å°è³¢ãããšããããšãèµ·ãããã ã ã£åºããšããããšãèµ·ããããããã¯äž¡æ¹ãšãã§ãã | ({HO} v {CC}) | [] | 6 | 5 | 3 | null | null | 3 | 0 | 3 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãããã©ã³ã¹äººããããšããããšããããã¯ãŽããŽãLv.12äºä»¶ãäž¡æ¹ãšããçºçãããªãã¿ã«ã
ã¿ã¡ã
Lv.17äºä»¶ãèµ·ãã fact2: ä»®ã«ãã©ã³ã¹äººããããšããããšãçãããšããã°ã ã ã£åºããšããããšãçãã fact3: ãã©ã³ã¹äººããããšããããšã¯ã¿ã«ã
ã¿ã¡ã
Lv.17äºä»¶ã¯èµ·ããªããšããããšãé»æ¢ãã ; $hypothesis$ = ãããœããœã¡ãLv.87äºä»¶ããããã¯ã¿ã«ã
ã¿ã¡ã
Lv.17äºä»¶ãçºçããããšããããšã¯ããŽããŽãLv.12äºä»¶ã¯çºçããªãããšããããšã«åŒãèµ·ããããããšããããšã¯æ£ãããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({A} v {B}) -> {C} fact2: {A} -> {CC} fact3: {A} -> {C} ; $hypothesis$ = ¬(¬{B} -> ({D} v {C})) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŸã«ããŸãLv.9ã¯äŒæŠããªã | ¬{E}{b} | fact1: ããããã®ãŸã¡ããŸã¡ãLv.22ã移ãæããªãã°æªãã fact2: ä»®ã«ãã®ãŸã¡ããŸã¡ãLv.22ãæªãããŠããã«å å³ãããšããã°ãã®ãŸã«ããŸãLv.9ã¯äŒæŠããªã fact3: ãã®ãŸã¡ããŸã¡ãLv.22ã¯å å³ãã fact4: ããçãã¢ã³ã¹ã¿ãŒã¯äŒæŠãã fact5: ãã®ãŸãªãŸãªLv.89ã¯å å³ãã | fact1: {B}{a} -> {C}{a} fact2: ({C}{a} & {D}{a}) -> ¬{E}{b} fact3: {D}{a} fact4: (x): {A}x -> {E}x fact5: {D}{hs} | [] | [] | ãã®ãŸã«ããŸãLv.9ã¯äŒæŠãã | {E}{b} | [
"fact6 -> int1: ããä»®ã«ããã®ãŸã«ããŸãLv.9ã¯ããçãããšããããšã¯æãç«ã€ãšããã°ããã¯äŒæŠãã;"
] | 4 | 4 | 4 | null | null | 2 | 0 | 2 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããããã®ãŸã¡ããŸã¡ãLv.22ã移ãæããªãã°æªãã fact2: ä»®ã«ãã®ãŸã¡ããŸã¡ãLv.22ãæªãããŠããã«å å³ãããšããã°ãã®ãŸã«ããŸãLv.9ã¯äŒæŠããªã fact3: ãã®ãŸã¡ããŸã¡ãLv.22ã¯å å³ãã fact4: ããçãã¢ã³ã¹ã¿ãŒã¯äŒæŠãã fact5: ãã®ãŸãªãŸãªLv.89ã¯å å³ãã ; $hypothesis$ = ãã®ãŸã«ããŸãLv.9ã¯äŒæŠããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {B}{a} -> {C}{a} fact2: ({C}{a} & {D}{a}) -> ¬{E}{b} fact3: {D}{a} fact4: (x): {A}x -> {E}x fact5: {D}{hs} ; $hypothesis$ = ¬{E}{b} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã·ãã·ãLv.89ã¯æ£çåºæ¥ãªãããã©åºåžãã | (¬{H}{c} & {F}{c}) | fact1: ããããã®ã¿ãã¿ãªLv.19ã¯åºŠãé£ããªããè¡ãããšããããšã¯äºå®ã§ãªããšããã°ãä¹ãããªãããšããããšã¯äºå®ã§ãã fact2: ããä»®ã«ãã®ã¿ãã¿ãªLv.19ã¯ä¹ãããšããããšã¯ãªããªãããã®ãœããœã«ãLv.10ã¯ä¹ãããŠå ããŠç¡å£°åãæãããšããããšã¯çå®ã ãšããããšã¯ãªã fact3: ããããã®ãœããœã«ãLv.10ã¯ä¹ãããŠããã¯ç¡å£°åãæãããšããããšã¯æãç«ããªããšãããšãã®ãœããœã«ãLv.10ã¯åºåžããªã fact4: ä»®ã«ãã®ãœããœã«ãLv.10ã¯åºåžããªããšãããããã®ã·ãã·ãLv.89ã¯æ£çåºæ¥ãªããåºåžããããšããããšã¯æãç«ããªã fact5: ãããã®ã¿ãã¿ãªLv.19ã¯å®ããšãããšããã®ãã«ãã®Lv.45ã¯åŒ±ã
ãããªãããã©è³¢ãããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact6: ä¹ããã¢ã³ã¹ã¿ãŒã¯è¡ã fact7: ãããå®ããªããã¢ã³ã¹ã¿ãŒã¯ãããšãããããã®ã¿ãã¿ãªLv.19ã¯åºŠãé£ããªãããããããã¯è¡ãããšããããšã¯åã fact8: ãå®ããªããã¢ã³ã¹ã¿ãŒã¯ãã | fact1: ¬(¬{B}{a} & {C}{a}) -> ¬{D}{a} fact2: ¬{D}{a} -> ¬({D}{b} & {E}{b}) fact3: ¬({D}{b} & {E}{b}) -> ¬{F}{b} fact4: ¬{F}{b} -> ¬(¬{H}{c} & {F}{c}) fact5: {A}{a} -> ¬(¬{P}{da} & {DB}{da}) fact6: (x): {D}x -> {C}x fact7: (x): ¬{A}x -> ¬(¬{B}{a} & {C}{a}) fact8: (Ex): ¬{A}x | [
"fact8 & fact7 -> int1: ããã®ã¿ãã¿ãªLv.19ã¯åºŠãé£ããªãããããè¡ãããšããããšã¯æ¬åœã§ãªã; int1 & fact1 -> int2: ãã®ã¿ãã¿ãªLv.19ã¯ä¹ãããªã; int2 & fact2 -> int3: ããã®ãœããœã«ãLv.10ã¯ä¹ãããç¡å£°åãæãããšããããšã¯èª€ã£ãŠãã; int3 & fact3 -> int4: ãã®ãœããœã«ãLv.10ã¯åºåžããªã; int4 & fact4 -> hypothesis;"
] | [
"fact8 & fact7 -> int1: ¬(¬{B}{a} & {C}{a}); int1 & fact1 -> int2: ¬{D}{a}; int2 & fact2 -> int3: ¬({D}{b} & {E}{b}); int3 & fact3 -> int4: ¬{F}{b}; int4 & fact4 -> hypothesis;"
] | ããã®ãã«ãã®Lv.45ã¯åŒ±ã
ãããªãäžæ¹ã§è³¢ãããšããããšã¯æãç«ããªã | ¬(¬{P}{da} & {DB}{da}) | [
"fact9 -> int5: ããä»®ã«ãã®ãœããœã«ãLv.10ãä¹ãããªãè¡ã;"
] | 6 | 5 | 5 | 5 | 5 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããããã®ã¿ãã¿ãªLv.19ã¯åºŠãé£ããªããè¡ãããšããããšã¯äºå®ã§ãªããšããã°ãä¹ãããªãããšããããšã¯äºå®ã§ãã fact2: ããä»®ã«ãã®ã¿ãã¿ãªLv.19ã¯ä¹ãããšããããšã¯ãªããªãããã®ãœããœã«ãLv.10ã¯ä¹ãããŠå ããŠç¡å£°åãæãããšããããšã¯çå®ã ãšããããšã¯ãªã fact3: ããããã®ãœããœã«ãLv.10ã¯ä¹ãããŠããã¯ç¡å£°åãæãããšããããšã¯æãç«ããªããšãããšãã®ãœããœã«ãLv.10ã¯åºåžããªã fact4: ä»®ã«ãã®ãœããœã«ãLv.10ã¯åºåžããªããšãããããã®ã·ãã·ãLv.89ã¯æ£çåºæ¥ãªããåºåžããããšããããšã¯æãç«ããªã fact5: ãããã®ã¿ãã¿ãªLv.19ã¯å®ããšãããšããã®ãã«ãã®Lv.45ã¯åŒ±ã
ãããªãããã©è³¢ãããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact6: ä¹ããã¢ã³ã¹ã¿ãŒã¯è¡ã fact7: ãããå®ããªããã¢ã³ã¹ã¿ãŒã¯ãããšãããããã®ã¿ãã¿ãªLv.19ã¯åºŠãé£ããªãããããããã¯è¡ãããšããããšã¯åã fact8: ãå®ããªããã¢ã³ã¹ã¿ãŒã¯ãã ; $hypothesis$ = ãã®ã·ãã·ãLv.89ã¯æ£çåºæ¥ãªãããã©åºåžãã ; $proof$ = | fact8 & fact7 -> int1: ããã®ã¿ãã¿ãªLv.19ã¯åºŠãé£ããªãããããè¡ãããšããããšã¯æ¬åœã§ãªã; int1 & fact1 -> int2: ãã®ã¿ãã¿ãªLv.19ã¯ä¹ãããªã; int2 & fact2 -> int3: ããã®ãœããœã«ãLv.10ã¯ä¹ãããç¡å£°åãæãããšããããšã¯èª€ã£ãŠãã; int3 & fact3 -> int4: ãã®ãœããœã«ãLv.10ã¯åºåžããªã; int4 & fact4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬(¬{B}{a} & {C}{a}) -> ¬{D}{a} fact2: ¬{D}{a} -> ¬({D}{b} & {E}{b}) fact3: ¬({D}{b} & {E}{b}) -> ¬{F}{b} fact4: ¬{F}{b} -> ¬(¬{H}{c} & {F}{c}) fact5: {A}{a} -> ¬(¬{P}{da} & {DB}{da}) fact6: (x): {D}x -> {C}x fact7: (x): ¬{A}x -> ¬(¬{B}{a} & {C}{a}) fact8: (Ex): ¬{A}x ; $hypothesis$ = (¬{H}{c} & {F}{c}) ; $proof$ = | fact8 & fact7 -> int1: ¬(¬{B}{a} & {C}{a}); int1 & fact1 -> int2: ¬{D}{a}; int2 & fact2 -> int3: ¬({D}{b} & {E}{b}); int3 & fact3 -> int4: ¬{F}{b}; int4 & fact4 -> hypothesis; __DISPROVED__ |
0.3 | 以äžã®ããã«ä»®å®ãããããã®ã·ã«ãã·ã®Lv.77ã¯æ¶ããŸããããã©å€å¥ãé£ããªãããšããããšã¯æãç«ããªã | ¬({AA}{aa} & ¬{AB}{aa}) | fact1: äœããã®ã¢ã³ã¹ã¿ãŒã¯åã¡æããªããªãã°ãæ¶ããŸãããŠãã€ããã¯å€å¥ãé£ããšããããšã¯ãªãããšããããšã¯èª€ãã§ãã fact2: ãããããšããã¢ã³ã¹ã¿ãŒã¯æ¶ããŸããããã©å€å¥ãé£ããšããããšã¯ãªãããšããããšã¯æãç«ããªããšããã°çŸããé£ããªã fact3: ãã®ãã«ãããLv.53ã¯å€å¥ãé£ããªã | fact1: (x): ¬{A}x -> ¬({AA}x & ¬{AB}x) fact2: (x): ¬({AA}x & ¬{AB}x) -> ¬{B}x fact3: ¬{AB}{ha} | [
"fact2 -> int1: ãããããã®ã·ã«ãã·ã®Lv.77ã¯æ¶ããŸãããã©å€å¥ãé£ããªãããšããããšã¯æãç«ããªããšãããçŸããé£ããªã; void -> assump1: 以äžã®ããã«ä»®å®ãããããã®ã·ã«ãã·ã®Lv.77ã¯æ¶ããŸããããã©å€å¥ãé£ããªãããšããããšã¯æãç«ããªã; int1 & assump1 -> int2: ãã®ã·ã«ãã·ã®Lv.77ã¯çŸããé£ããšããããšã¯ãªã;"
] | [
"fact2 -> int1: ¬({AA}{aa} & ¬{AB}{aa}) -> ¬{B}{aa}; void -> assump1: ¬({AA}{aa} & ¬{AB}{aa}); int1 & assump1 -> int2: ¬{B}{aa};"
] | 以äžã®ããã«ä»®å®ãããããã®ã·ã«ãã·ã®Lv.77ã¯æ¶ããŸããããã©å€å¥ãé£ããªãããšããããšã¯æãç«ããªã | ¬({AA}{aa} & ¬{AB}{aa}) | [
"fact4 -> int3: ãããã®ã·ã«ãã·ã®Lv.77ã¯åã¡æããªããšãããšãããã¯æ¶ããŸãããŠå€å¥ãé£ããªãããšããããšã¯ééãã§ãã;"
] | 5 | 5 | 4 | null | null | 2 | 0 | 2 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: äœããã®ã¢ã³ã¹ã¿ãŒã¯åã¡æããªããªãã°ãæ¶ããŸãããŠãã€ããã¯å€å¥ãé£ããšããããšã¯ãªãããšããããšã¯èª€ãã§ãã fact2: ãããããšããã¢ã³ã¹ã¿ãŒã¯æ¶ããŸããããã©å€å¥ãé£ããšããããšã¯ãªãããšããããšã¯æãç«ããªããšããã°çŸããé£ããªã fact3: ãã®ãã«ãããLv.53ã¯å€å¥ãé£ããªã ; $hypothesis$ = 以äžã®ããã«ä»®å®ãããããã®ã·ã«ãã·ã®Lv.77ã¯æ¶ããŸããããã©å€å¥ãé£ããªãããšããããšã¯æãç«ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ¬{A}x -> ¬({AA}x & ¬{AB}x) fact2: (x): ¬({AA}x & ¬{AB}x) -> ¬{B}x fact3: ¬{AB}{ha} ; $hypothesis$ = ¬({AA}{aa} & ¬{AB}{aa}) ; $proof$ = | __UNKNOWN__ |
0.3 | ããããã埡ãã§ãããªããªãæãé£ããªããããã«éæãæããªããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯åã | ¬((Ex): ¬{A}x -> (¬{AA}x & ¬{AB}x)) | fact1: 説æãé£ããªãã¢ã³ã¹ã¿ãŒã¯åœããšããããšã¯ãªãããã©éããã | fact1: (x): ¬{DG}x -> (¬{M}x & {R}x) | [] | [] | null | null | [] | null | 2 | 2 | null | null | 1 | 0 | 1 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: 説æãé£ããªãã¢ã³ã¹ã¿ãŒã¯åœããšããããšã¯ãªãããã©éããã ; $hypothesis$ = ããããã埡ãã§ãããªããªãæãé£ããªããããã«éæãæããªããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯åã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ¬{DG}x -> (¬{M}x & {R}x) ; $hypothesis$ = ¬((Ex): ¬{A}x -> (¬{AA}x & ¬{AB}x)) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŽããŽãLv.47ã¯äŸå€ç¡ã | {F}{c} | fact1: ãã®ããããLv.43ã¯æ¿ç®¡ãã fact2: ããããã®ããããLv.43ããã¶ãšããŠãã€æ¿ç®¡ããã°ãã®ãŽããŽãLv.47ã¯äŸå€ç¡ããªã fact3: ãã®ã·ã¡ã
ã·ã«ãLv.65ã¯ãã£ããŒã fact4: ããããã®ã·ã¡ã
ã·ã«ãLv.65ãç²ããªãã°ãã®ããããLv.43ã¯æ¯ããã fact5: ããããã®ããããLv.43ã¯æ¯ãããããšããããšã¯ééã£ãŠããªããšãããšãã¶ãšã fact6: ãã®ã·ã¡ã
ã·ã«ãLv.65ããã£ããŒããšããããã®ã·ã¡ã
ã·ã«ãLv.65ã¯ç²ã | fact1: {E}{b} fact2: ({D}{b} & {E}{b}) -> ¬{F}{c} fact3: {A}{a} fact4: {B}{a} -> {C}{b} fact5: {C}{b} -> {D}{b} fact6: {A}{a} -> {B}{a} | [
"fact6 & fact3 -> int1: ãã®ã·ã¡ã
ã·ã«ãLv.65ã¯ç²ã; int1 & fact4 -> int2: ãã®ããããLv.43ã¯æ¯ããã; int2 & fact5 -> int3: ããã®ããããLv.43ã¯ãã¶ãšãããšããããšã¯ç¢ºãã§ãã; int3 & fact1 -> int4: ãã®ããããLv.43ã¯ãã¶ãšããŠæ¿ç®¡ãã; int4 & fact2 -> hypothesis;"
] | [
"fact6 & fact3 -> int1: {B}{a}; int1 & fact4 -> int2: {C}{b}; int2 & fact5 -> int3: {D}{b}; int3 & fact1 -> int4: ({D}{b} & {E}{b}); int4 & fact2 -> hypothesis;"
] | null | null | [] | null | 5 | 5 | 5 | 5 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãã®ããããLv.43ã¯æ¿ç®¡ãã fact2: ããããã®ããããLv.43ããã¶ãšããŠãã€æ¿ç®¡ããã°ãã®ãŽããŽãLv.47ã¯äŸå€ç¡ããªã fact3: ãã®ã·ã¡ã
ã·ã«ãLv.65ã¯ãã£ããŒã fact4: ããããã®ã·ã¡ã
ã·ã«ãLv.65ãç²ããªãã°ãã®ããããLv.43ã¯æ¯ããã fact5: ããããã®ããããLv.43ã¯æ¯ãããããšããããšã¯ééã£ãŠããªããšãããšãã¶ãšã fact6: ãã®ã·ã¡ã
ã·ã«ãLv.65ããã£ããŒããšããããã®ã·ã¡ã
ã·ã«ãLv.65ã¯ç²ã ; $hypothesis$ = ãã®ãŽããŽãLv.47ã¯äŸå€ç¡ã ; $proof$ = | fact6 & fact3 -> int1: ãã®ã·ã¡ã
ã·ã«ãLv.65ã¯ç²ã; int1 & fact4 -> int2: ãã®ããããLv.43ã¯æ¯ããã; int2 & fact5 -> int3: ããã®ããããLv.43ã¯ãã¶ãšãããšããããšã¯ç¢ºãã§ãã; int3 & fact1 -> int4: ãã®ããããLv.43ã¯ãã¶ãšããŠæ¿ç®¡ãã; int4 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {E}{b} fact2: ({D}{b} & {E}{b}) -> ¬{F}{c} fact3: {A}{a} fact4: {B}{a} -> {C}{b} fact5: {C}{b} -> {D}{b} fact6: {A}{a} -> {B}{a} ; $hypothesis$ = {F}{c} ; $proof$ = | fact6 & fact3 -> int1: {B}{a}; int1 & fact4 -> int2: {C}{b}; int2 & fact5 -> int3: {D}{b}; int3 & fact1 -> int4: ({D}{b} & {E}{b}); int4 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ãŽããŽã¡ã
Lv.25ã¯äžæ¢ããããã«ããã¯é
è²ããããšããããšã¯äºå®ã§ãªã | ¬({A}{a} & {C}{a}) | fact1: ãã®ãŽããŽã¡ã
Lv.25ã¯é
è²ãã fact2: ããä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒã¯æãé£ããªããšãããšãããã¯äžæ¢ããé
è²ããããšããããšã¯çå®ã§ãªã | fact1: {C}{a} fact2: (x): ¬{B}x -> ¬({A}x & {C}x) | [] | [] | ããã®ãŽããŽã¡ã
Lv.25ã¯äžæ¢ããããã«ããã¯é
è²ããããšããããšã¯äºå®ã§ãªã | ¬({A}{a} & {C}{a}) | [
"fact3 -> int1: ããä»®ã«ãã®ãŽããŽã¡ã
Lv.25ã¯æãé£ããªããšããã°ãäžæ¢ããé
è²ããããšããããšã¯èª€ãã ;"
] | 4 | 2 | 2 | null | null | 1 | 0 | 1 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãã®ãŽããŽã¡ã
Lv.25ã¯é
è²ãã fact2: ããä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒã¯æãé£ããªããšãããšãããã¯äžæ¢ããé
è²ããããšããããšã¯çå®ã§ãªã ; $hypothesis$ = ããã®ãŽããŽã¡ã
Lv.25ã¯äžæ¢ããããã«ããã¯é
è²ããããšããããšã¯äºå®ã§ãªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {C}{a} fact2: (x): ¬{B}x -> ¬({A}x & {C}x) ; $hypothesis$ = ¬({A}{a} & {C}{a}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãããã«ãLv.20äºä»¶ã¯çºçããªã | ¬{A} | fact1: ãããã«ãLv.20äºä»¶ãšäœããããšãèµ·ããã¯ã¿ã¡ã
ã¿ã«ã
Lv.76äºä»¶ãé²ã fact2: äœããããšãèµ·ãã fact3: ã¿ã¡ã
ã¿ã«ã
Lv.76äºä»¶ãèµ·ãã | fact1: ({A} & {B}) -> ¬{C} fact2: {B} fact3: {C} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããããã«ãLv.20äºä»¶ãçãã; assump1 & fact2 -> int1: ãããã«ãLv.20äºä»¶ãšäœããããšäž¡æ¹ãšããèµ·ãã; int1 & fact1 -> int2: ã¿ã¡ã
ã¿ã«ã
Lv.76äºä»¶ã¯èµ·ãããªã; int2 & fact3 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: {A}; assump1 & fact2 -> int1: ({A} & {B}); int1 & fact1 -> int2: ¬{C}; int2 & fact3 -> int3: #F#; [assump1] & int3 -> hypothesis;"
] | null | null | [] | null | 5 | 4 | 5 | 4 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ãããã«ãLv.20äºä»¶ãšäœããããšãèµ·ããã¯ã¿ã¡ã
ã¿ã«ã
Lv.76äºä»¶ãé²ã fact2: äœããããšãèµ·ãã fact3: ã¿ã¡ã
ã¿ã«ã
Lv.76äºä»¶ãèµ·ãã ; $hypothesis$ = ãããã«ãLv.20äºä»¶ã¯çºçããªã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããããã«ãLv.20äºä»¶ãçãã; assump1 & fact2 -> int1: ãããã«ãLv.20äºä»¶ãšäœããããšäž¡æ¹ãšããèµ·ãã; int1 & fact1 -> int2: ã¿ã¡ã
ã¿ã«ã
Lv.76äºä»¶ã¯èµ·ãããªã; int2 & fact3 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis; __PROVED__ | $facts$ = fact1: ({A} & {B}) -> ¬{C} fact2: {B} fact3: {C} ; $hypothesis$ = ¬{A} ; $proof$ = | void -> assump1: {A}; assump1 & fact2 -> int1: ({A} & {B}); int1 & fact1 -> int2: ¬{C}; int2 & fact3 -> int3: #F#; [assump1] & int3 -> hypothesis; __PROVED__ |
0.3 | 以äžã®ããã«ä»®å®ããããã®ãŽããŽãLv.60ã¯çŽ ã£æ°ãªã | {A}{a} | fact1: ä»®ã«ãã®ãŽããŽãLv.60ãçŽ ã£æ°ãªããšããããã®ãŽã«ãŽãLv.91ã¯ããã | fact1: {A}{a} -> {B}{b} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãŽããŽãLv.60ã¯çŽ ã£æ°ãªã; fact1 & assump1 -> int1: ãã®ãŽã«ãŽãLv.91ã¯ããã;"
] | [
"void -> assump1: {A}{a}; fact1 & assump1 -> int1: {B}{b};"
] | null | null | [] | null | 4 | 3 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ä»®ã«ãã®ãŽããŽãLv.60ãçŽ ã£æ°ãªããšããããã®ãŽã«ãŽãLv.91ã¯ããã ; $hypothesis$ = 以äžã®ããã«ä»®å®ããããã®ãŽããŽãLv.60ã¯çŽ ã£æ°ãªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A}{a} -> {B}{b} ; $hypothesis$ = {A}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ãã¡ãããLv.13ã¯æ·±ãããã€å®çšåããããšããããšã¯äºå®ã | ({B}{a} & {C}{a}) | fact1: ãã®ãã¡ãããLv.13ã¯äžããæã fact2: ãã®ãã¡ãããLv.13ã¯å®çšåãã fact3: ããããã®ãŸããŸãLv.84ãäžããæããªãã°ãã®ãŸããŸãLv.84ã¯æãããã fact4: ãã®ãã¡ãããLv.13ãå®çšåããã°ãã®ãã¡ãããLv.13ã¯ååãã | fact1: {A}{a} fact2: {C}{a} fact3: {A}{fb} -> {FE}{fb} fact4: {C}{a} -> {EN}{a} | [] | [] | null | null | [] | null | 2 | 2 | null | null | 2 | 0 | 2 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãã®ãã¡ãããLv.13ã¯äžããæã fact2: ãã®ãã¡ãããLv.13ã¯å®çšåãã fact3: ããããã®ãŸããŸãLv.84ãäžããæããªãã°ãã®ãŸããŸãLv.84ã¯æãããã fact4: ãã®ãã¡ãããLv.13ãå®çšåããã°ãã®ãã¡ãããLv.13ã¯ååãã ; $hypothesis$ = ããã®ãã¡ãããLv.13ã¯æ·±ãããã€å®çšåããããšããããšã¯äºå®ã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A}{a} fact2: {C}{a} fact3: {A}{fb} -> {FE}{fb} fact4: {C}{a} -> {EN}{a} ; $hypothesis$ = ({B}{a} & {C}{a}) ; $proof$ = | __UNKNOWN__ |
0.3 | 以äžã®ããã«ä»®å®ãããæãããšããããšãçãã | {A} | fact1: ãŸã«ãŸãLv.38äºä»¶ãçãã fact2: ãŸããŸãªLv.9äºä»¶ãèµ·ãã fact3: æããé£ããšããããšã¯çããªã fact4: ããŸããŸã¡ãLv.26äºä»¶ã¯èµ·ãããªããŠæããé£ããšããããšã¯èµ·ãããªãããšããããšã¯ãæãããšããããšãçããããšããããšã«èªçºããã fact5: ãŸããŸã¡ãLv.26äºä»¶ãçºçãã fact6: ãæããé£ããšããããšã¯èµ·ãããªãããšããããšã¯ãæãããšããããšãèµ·ããããšããããšã«ããçãã fact7: ãããœããœãLv.4äºä»¶ã¯èµ·ãããªããªãã°æãããšããããšãèµ·ãããããŸãã«ã·ã«ã
ã·ãLv.92äºä»¶ãèµ·ãã | fact1: {FB} fact2: {JH} fact3: ¬{AB} fact4: {A} -> (¬{AA} & ¬{AB}) fact5: {AA} fact6: {A} -> ¬{AB} fact7: ¬{C} -> ({A} & {B}) | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããæãããšããããšãçãã; fact4 & assump1 -> int1: ãŸããŸã¡ãLv.26äºä»¶ã¯çããªããããã«æããé£ããšããããšã¯çºçããªã; int1 -> int2: ãŸããŸã¡ãLv.26äºä»¶ã¯çããªã; int2 & fact5 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: {A}; fact4 & assump1 -> int1: (¬{AA} & ¬{AB}); int1 -> int2: ¬{AA}; int2 & fact5 -> int3: #F#; [assump1] & int3 -> hypothesis;"
] | 以äžã®ããã«ä»®å®ãããæãããšããããšãçãã | {A} | [] | 6 | 5 | 4 | 5 | 4 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãŸã«ãŸãLv.38äºä»¶ãçãã fact2: ãŸããŸãªLv.9äºä»¶ãèµ·ãã fact3: æããé£ããšããããšã¯çããªã fact4: ããŸããŸã¡ãLv.26äºä»¶ã¯èµ·ãããªããŠæããé£ããšããããšã¯èµ·ãããªãããšããããšã¯ãæãããšããããšãçããããšããããšã«èªçºããã fact5: ãŸããŸã¡ãLv.26äºä»¶ãçºçãã fact6: ãæããé£ããšããããšã¯èµ·ãããªãããšããããšã¯ãæãããšããããšãèµ·ããããšããããšã«ããçãã fact7: ãããœããœãLv.4äºä»¶ã¯èµ·ãããªããªãã°æãããšããããšãèµ·ãããããŸãã«ã·ã«ã
ã·ãLv.92äºä»¶ãèµ·ãã ; $hypothesis$ = 以äžã®ããã«ä»®å®ãããæãããšããããšãçãã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ãããæãããšããããšãçãã; fact4 & assump1 -> int1: ãŸããŸã¡ãLv.26äºä»¶ã¯çããªããããã«æããé£ããšããããšã¯çºçããªã; int1 -> int2: ãŸããŸã¡ãLv.26äºä»¶ã¯çããªã; int2 & fact5 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {FB} fact2: {JH} fact3: ¬{AB} fact4: {A} -> (¬{AA} & ¬{AB}) fact5: {AA} fact6: {A} -> ¬{AB} fact7: ¬{C} -> ({A} & {B}) ; $hypothesis$ = {A} ; $proof$ = | void -> assump1: {A}; fact4 & assump1 -> int1: (¬{AA} & ¬{AB}); int1 -> int2: ¬{AA}; int2 & fact5 -> int3: #F#; [assump1] & int3 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŽããŽãLv.81ã¯ããããããŠããŸãã«ç»æãã | ({B}{aa} & {A}{aa}) | fact1: ããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯çãé£ããšããããšã¯ãªããã©ã©ãããŠè¯ãããšããããšã¯åã ãšãããããã¯ããããã fact2: çãé£ããªããŠããã«ã©ãããŠè¯ããšããã¢ã³ã¹ã¿ãŒã¯ãªã | fact1: (x): ¬(¬{AA}x & {AB}x) -> {B}x fact2: (x): ¬(¬{AA}x & {AB}x) | [
"fact1 -> int1: ä»®ã«ããã®ãŽããŽãLv.81ã¯çãé£ããªãããã©ã©ãããŠè¯ãããšããããšã¯èª€ããªãããã¯ããããã; fact2 -> int2: ããã®ãŽããŽãLv.81ã¯çãé£ããªããã©ã©ãããŠè¯ãããšããããšã¯åœã ; int1 & int2 -> int3: ãã®ãŽããŽãLv.81ã¯ããããã;"
] | [
"fact1 -> int1: ¬(¬{AA}{aa} & {AB}{aa}) -> {B}{aa}; fact2 -> int2: ¬(¬{AA}{aa} & {AB}{aa}); int1 & int2 -> int3: {B}{aa};"
] | null | null | [] | null | 4 | 3 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯çãé£ããšããããšã¯ãªããã©ã©ãããŠè¯ãããšããããšã¯åã ãšãããããã¯ããããã fact2: çãé£ããªããŠããã«ã©ãããŠè¯ããšããã¢ã³ã¹ã¿ãŒã¯ãªã ; $hypothesis$ = ãã®ãŽããŽãLv.81ã¯ããããããŠããŸãã«ç»æãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ¬(¬{AA}x & {AB}x) -> {B}x fact2: (x): ¬(¬{AA}x & {AB}x) ; $hypothesis$ = ({B}{aa} & {A}{aa}) ; $proof$ = | __UNKNOWN__ |
0.3 | åšéããããšã¯çºçããªãã匱ãæãŠãããšãèµ·ãã | (¬{A} & {C}) | fact1: åšéããããšã¯çããšããããšã¯èµ·ããªããšããããšãé»æ¢ãã fact2: çããšããããšã¯çããªã fact3: 匱ãæãŠãããšãèµ·ãã | fact1: {A} -> {B} fact2: ¬{B} fact3: {C} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããåšéããããšãçãã; fact1 & assump1 -> int1: çããšããããšãèµ·ãã; int1 & fact2 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: åšéããããšã¯èµ·ãããªã; int3 & fact3 -> hypothesis;"
] | [
"void -> assump1: {A}; fact1 & assump1 -> int1: {B}; int1 & fact2 -> int2: #F#; [assump1] & int2 -> int3: ¬{A}; int3 & fact3 -> hypothesis;"
] | null | null | [] | null | 5 | 4 | 5 | 4 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: åšéããããšã¯çããšããããšã¯èµ·ããªããšããããšãé»æ¢ãã fact2: çããšããããšã¯çããªã fact3: 匱ãæãŠãããšãèµ·ãã ; $hypothesis$ = åšéããããšã¯çºçããªãã匱ãæãŠãããšãèµ·ãã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ãããåšéããããšãçãã; fact1 & assump1 -> int1: çããšããããšãèµ·ãã; int1 & fact2 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: åšéããããšã¯èµ·ãããªã; int3 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: {A} -> {B} fact2: ¬{B} fact3: {C} ; $hypothesis$ = (¬{A} & {C}) ; $proof$ = | void -> assump1: {A}; fact1 & assump1 -> int1: {B}; int1 & fact2 -> int2: #F#; [assump1] & int2 -> int3: ¬{A}; int3 & fact3 -> hypothesis; __PROVED__ |
0.3 | å ããšããããšãçãã | {F} | fact1: ããä»®ã«ãã·ãã·ãLv.80äºä»¶ãèµ·ããããã©äžãæããšããããšã¯çããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªããªãã°å ããšããããšãèµ·ãã fact2: èŠèœãšãããšã¯çºçããªããšããããšã¯èªèŠåºæ¥ãããšãçãããã fact3: ãããããœã«ã
ãœã«Lv.63äºä»¶ã¯çããªãããšããããšã¯æãç«ã€ãšããã°ãã·ãã·ãLv.80äºä»¶ãèµ·ããããããäžãæããšããããšã¯èµ·ãããªãããšããããšã¯äºå®ã§ãªã fact4: ãè¯ããšããããšããã³éãåãããšäž¡æ¹ãšããçããããšããããšã¯çå®ã fact5: ããŽã¡ããŽãLv.94äºä»¶ã¯çããªããŠå¿«ããšããããšã¯èµ·ããªãããšããããšã¯ãäžãæããšããããšã¯èµ·ãããªãããšããããšããããã fact6: ãŽããŽãªLv.76äºä»¶ããã³é£è¡æ©ããããšããããšãçºçãã fact7: éãåãããšã¯ããœã«ã
ãœã«Lv.63äºä»¶ã¯çºçããªããã©éãåãããšãèµ·ããããšããããšãçºçããã fact8: ããããŸã¡ããŸãLv.95äºä»¶ãèµ·ãããããããŽã¡ããŽãLv.94äºä»¶ã¯çºçããªãããšããããšã¯èª€ãã§ãããªãããããLv.80äºä»¶ãèµ·ãã fact9: å ããšããããšã¯ãè¯ããšããããšã¯èµ·ãããªãããšããããšã«é»ãŸãã | fact1: ¬({C} & ¬{E}) -> {F} fact2: ¬{AJ} -> {AN} fact3: ¬{D} -> ¬({C} & ¬{E}) fact4: ({A} & {B}) fact5: (¬{G} & ¬{H}) -> ¬{E} fact6: ({AB} & {GI}) fact7: {B} -> (¬{D} & {B}) fact8: ¬({HE} & ¬{G}) -> {BG} fact9: ¬{A} -> ¬{F} | [
"fact4 -> int1: éãåãããšãçãã; int1 & fact7 -> int2: ãœã«ã
ãœã«Lv.63äºä»¶ã§ã¯ãªãéãåãããšãçºçãã; int2 -> int3: ãœã«ã
ãœã«Lv.63äºä»¶ã¯çºçããªã; int3 & fact3 -> int4: ãã·ãã·ãLv.80äºä»¶ãèµ·ãããäžãæããšããããšã¯èµ·ãããªãããšããããšã¯æãç«ããªã; int4 & fact1 -> hypothesis;"
] | [
"fact4 -> int1: {B}; int1 & fact7 -> int2: (¬{D} & {B}); int2 -> int3: ¬{D}; int3 & fact3 -> int4: ¬({C} & ¬{E}); int4 & fact1 -> hypothesis;"
] | ãå ããšããããšã¯èµ·ããªãããšããããšã¯æãç«ã€ | ¬{F} | [] | 7 | 5 | 5 | 5 | 5 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããä»®ã«ãã·ãã·ãLv.80äºä»¶ãèµ·ããããã©äžãæããšããããšã¯çããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªããªãã°å ããšããããšãèµ·ãã fact2: èŠèœãšãããšã¯çºçããªããšããããšã¯èªèŠåºæ¥ãããšãçãããã fact3: ãããããœã«ã
ãœã«Lv.63äºä»¶ã¯çããªãããšããããšã¯æãç«ã€ãšããã°ãã·ãã·ãLv.80äºä»¶ãèµ·ããããããäžãæããšããããšã¯èµ·ãããªãããšããããšã¯äºå®ã§ãªã fact4: ãè¯ããšããããšããã³éãåãããšäž¡æ¹ãšããçããããšããããšã¯çå®ã fact5: ããŽã¡ããŽãLv.94äºä»¶ã¯çããªããŠå¿«ããšããããšã¯èµ·ããªãããšããããšã¯ãäžãæããšããããšã¯èµ·ãããªãããšããããšããããã fact6: ãŽããŽãªLv.76äºä»¶ããã³é£è¡æ©ããããšããããšãçºçãã fact7: éãåãããšã¯ããœã«ã
ãœã«Lv.63äºä»¶ã¯çºçããªããã©éãåãããšãèµ·ããããšããããšãçºçããã fact8: ããããŸã¡ããŸãLv.95äºä»¶ãèµ·ãããããããŽã¡ããŽãLv.94äºä»¶ã¯çºçããªãããšããããšã¯èª€ãã§ãããªãããããLv.80äºä»¶ãèµ·ãã fact9: å ããšããããšã¯ãè¯ããšããããšã¯èµ·ãããªãããšããããšã«é»ãŸãã ; $hypothesis$ = å ããšããããšãçãã ; $proof$ = | fact4 -> int1: éãåãããšãçãã; int1 & fact7 -> int2: ãœã«ã
ãœã«Lv.63äºä»¶ã§ã¯ãªãéãåãããšãçºçãã; int2 -> int3: ãœã«ã
ãœã«Lv.63äºä»¶ã¯çºçããªã; int3 & fact3 -> int4: ãã·ãã·ãLv.80äºä»¶ãèµ·ãããäžãæããšããããšã¯èµ·ãããªãããšããããšã¯æãç«ããªã; int4 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬({C} & ¬{E}) -> {F} fact2: ¬{AJ} -> {AN} fact3: ¬{D} -> ¬({C} & ¬{E}) fact4: ({A} & {B}) fact5: (¬{G} & ¬{H}) -> ¬{E} fact6: ({AB} & {GI}) fact7: {B} -> (¬{D} & {B}) fact8: ¬({HE} & ¬{G}) -> {BG} fact9: ¬{A} -> ¬{F} ; $hypothesis$ = {F} ; $proof$ = | fact4 -> int1: {B}; int1 & fact7 -> int2: (¬{D} & {B}); int2 -> int3: ¬{D}; int3 & fact3 -> int4: ¬({C} & ¬{E}); int4 & fact1 -> hypothesis; __PROVED__ |
0.3 | ãã®ã·ã«ã
ã·ãªLv.12ã¯äŒããé£ããªã | ¬{F}{c} | fact1: ããããã®ãŸã«ããŸã¡ãLv.71ã¯æ ¹æ°è¯ããªããããã¯åã£ãœãäžæ¹ã§ä»°ãåããšããããšã¯ãªãããšããããšã¯èª€ãã fact2: ãããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯åãé£ããªããªããããã¯æ ¹æ°è¯ãããããã¯ããã¯ç°èã£ãœãããšããããšã¯æãç«ããªã fact3: ãã®ãŸã«ããŸã¡ãLv.71ã¯æ ¹æ°è¯ã fact4: ãããäœããã®ã¢ã³ã¹ã¿ãŒã¯æ ¹æ°è¯ãããããã¯ããã¯ç°èã£ãœãããšããããšã¯æãç«ããªããšããã°ããã¯äŒããé£ããšããããšã¯ãªã fact5: ããä»®ã«ãã®ããããLv.18ãåãé£ããªããªãã°ãã®ã·ã«ã
ã·ãªLv.12ã¯çŸããé£ããªããèšãèŸã fact6: ãããã®ãŸã«ããŸã¡ãLv.71ãç°èã£ãœããªããšãããšãã®ããããLv.18ã¯åãé£ããªã fact7: ãã®ã·ã«ã
ã·ãªLv.12ã¯çŸããé£ããªã fact8: ããããããã®ãŸã«ããŸã¡ãLv.71ã¯åã£ãœãããããä»°ãåããªãããšããããšã¯æãç«ã€ããšããããšã¯æãç«ã€ãšããããšã¯ãªããšããããã®ãŸã«ããŸã¡ãLv.71ã¯ç°èã£ãœããªã | fact1: {A}{a} -> ¬({AA}{a} & ¬{AB}{a}) fact2: (x): ¬{C}x -> ¬({A}x v {B}x) fact3: {A}{a} fact4: (x): ¬({A}x v {B}x) -> ¬{F}x fact5: ¬{C}{b} -> (¬{D}{c} & {E}{c}) fact6: ¬{B}{a} -> ¬{C}{b} fact7: ¬{D}{c} fact8: ¬({AA}{a} & ¬{AB}{a}) -> ¬{B}{a} | [
"fact1 & fact3 -> int1: ããã®ãŸã«ããŸã¡ãLv.71ã¯åã£ãœããã©ä»°ãåããªãããšããããšã¯èª€ãã§ãã; int1 & fact8 -> int2: ãã®ãŸã«ããŸã¡ãLv.71ã¯ç°èã£ãœããªã; int2 & fact6 -> int3: ãã®ããããLv.18ã¯åãé£ããªã; int3 & fact5 -> int4: ãã®ã·ã«ã
ã·ãªLv.12ã¯çŸããé£ããªããã©èšãèŸã;"
] | [
"fact1 & fact3 -> int1: ¬({AA}{a} & ¬{AB}{a}); int1 & fact8 -> int2: ¬{B}{a}; int2 & fact6 -> int3: ¬{C}{b}; int3 & fact5 -> int4: (¬{D}{c} & {E}{c});"
] | ãã®ã·ã«ã
ã·ãªLv.12ã¯äŒããé£ããªã | ¬{F}{c} | [
"fact10 -> int5: ãããããã®ã·ã«ã
ã·ãªLv.12ã¯æ ¹æ°è¯ããç°èã£ãœãããšããããšã¯ééã£ãŠãããšããã°ããã®ã·ã«ã
ã·ãªLv.12ã¯äŒããé£ããšããããšã¯ãªãããšããããšã¯æãç«ã€; fact9 -> int6: ãããã®ã·ã«ã
ã·ãªLv.12ã¯åãé£ããªããšããã°ãããã¯æ ¹æ°è¯ãããããã¯ããã¯ç°èã£ãœãããããã¯äž¡æ¹ã§ããããšããããšã¯åœã§ãã;"
] | 4 | 5 | 5 | null | null | 3 | 0 | 3 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããããã®ãŸã«ããŸã¡ãLv.71ã¯æ ¹æ°è¯ããªããããã¯åã£ãœãäžæ¹ã§ä»°ãåããšããããšã¯ãªãããšããããšã¯èª€ãã fact2: ãããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯åãé£ããªããªããããã¯æ ¹æ°è¯ãããããã¯ããã¯ç°èã£ãœãããšããããšã¯æãç«ããªã fact3: ãã®ãŸã«ããŸã¡ãLv.71ã¯æ ¹æ°è¯ã fact4: ãããäœããã®ã¢ã³ã¹ã¿ãŒã¯æ ¹æ°è¯ãããããã¯ããã¯ç°èã£ãœãããšããããšã¯æãç«ããªããšããã°ããã¯äŒããé£ããšããããšã¯ãªã fact5: ããä»®ã«ãã®ããããLv.18ãåãé£ããªããªãã°ãã®ã·ã«ã
ã·ãªLv.12ã¯çŸããé£ããªããèšãèŸã fact6: ãããã®ãŸã«ããŸã¡ãLv.71ãç°èã£ãœããªããšãããšãã®ããããLv.18ã¯åãé£ããªã fact7: ãã®ã·ã«ã
ã·ãªLv.12ã¯çŸããé£ããªã fact8: ããããããã®ãŸã«ããŸã¡ãLv.71ã¯åã£ãœãããããä»°ãåããªãããšããããšã¯æãç«ã€ããšããããšã¯æãç«ã€ãšããããšã¯ãªããšããããã®ãŸã«ããŸã¡ãLv.71ã¯ç°èã£ãœããªã ; $hypothesis$ = ãã®ã·ã«ã
ã·ãªLv.12ã¯äŒããé£ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A}{a} -> ¬({AA}{a} & ¬{AB}{a}) fact2: (x): ¬{C}x -> ¬({A}x v {B}x) fact3: {A}{a} fact4: (x): ¬({A}x v {B}x) -> ¬{F}x fact5: ¬{C}{b} -> (¬{D}{c} & {E}{c}) fact6: ¬{B}{a} -> ¬{C}{b} fact7: ¬{D}{c} fact8: ¬({AA}{a} & ¬{AB}{a}) -> ¬{B}{a} ; $hypothesis$ = ¬{F}{c} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã·ãªã·ãLv.71ã¯éŠèš³ãããåºå Žåºæ¥ã | ({C}{a} & {D}{a}) | fact1: ãã®ã·ãªã·ãLv.71ã¯ãªã¯ãšã¹ããã fact2: ãããã®ã·ãªã·ãLv.71ã埡詳ãããªãã°ãã®ã·ãªã·ãLv.71ã¯éŠèš³ãã fact3: ããäœããã®ã¢ã³ã¹ã¿ãŒãåºå Žåºæ¥ããšããããšã¯ãªããšããããã®ã·ãªã·ãLv.71ã¯éŠèš³ãããããã«åŸ¡è©³ãã fact4: ããããªãããã®ã¢ã³ã¹ã¿ãŒãè»äººããããªããšãããšãã®ã·ãªã·ãLv.71ã¯ãªã¯ãšã¹ããããå ããŠåŸ¡è©³ãã fact5: ãè»äººããããªããã¢ã³ã¹ã¿ãŒã¯ãã fact6: ãšããã¢ã³ã¹ã¿ãŒãè»äººããããªããšããã°ãã®ã·ãªã·ãLv.71ã¯ãªã¯ãšã¹ããã | fact1: {A}{a} fact2: {B}{a} -> {C}{a} fact3: (x): ¬{D}x -> ({C}{a} & {B}{a}) fact4: (x): ¬{E}x -> ({A}{a} & {B}{a}) fact5: (Ex): ¬{E}x fact6: (x): ¬{E}x -> {A}{a} | [
"fact4 & fact5 -> int1: ãã®ã·ãªã·ãLv.71ã¯ãªã¯ãšã¹ããããããŸãã«ããã¯åŸ¡è©³ãã; int1 -> int2: ãã®ã·ãªã·ãLv.71ã¯åŸ¡è©³ãã; int2 & fact2 -> int3: ããã®ã·ãªã·ãLv.71ã¯éŠèš³ããããšããããšã¯ç¢ºãã§ãã;"
] | [
"fact4 & fact5 -> int1: ({A}{a} & {B}{a}); int1 -> int2: {B}{a}; int2 & fact2 -> int3: {C}{a};"
] | null | null | [] | null | 4 | 4 | null | null | 3 | 0 | 3 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãã®ã·ãªã·ãLv.71ã¯ãªã¯ãšã¹ããã fact2: ãããã®ã·ãªã·ãLv.71ã埡詳ãããªãã°ãã®ã·ãªã·ãLv.71ã¯éŠèš³ãã fact3: ããäœããã®ã¢ã³ã¹ã¿ãŒãåºå Žåºæ¥ããšããããšã¯ãªããšããããã®ã·ãªã·ãLv.71ã¯éŠèš³ãããããã«åŸ¡è©³ãã fact4: ããããªãããã®ã¢ã³ã¹ã¿ãŒãè»äººããããªããšãããšãã®ã·ãªã·ãLv.71ã¯ãªã¯ãšã¹ããããå ããŠåŸ¡è©³ãã fact5: ãè»äººããããªããã¢ã³ã¹ã¿ãŒã¯ãã fact6: ãšããã¢ã³ã¹ã¿ãŒãè»äººããããªããšããã°ãã®ã·ãªã·ãLv.71ã¯ãªã¯ãšã¹ããã ; $hypothesis$ = ãã®ã·ãªã·ãLv.71ã¯éŠèš³ãããåºå Žåºæ¥ã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A}{a} fact2: {B}{a} -> {C}{a} fact3: (x): ¬{D}x -> ({C}{a} & {B}{a}) fact4: (x): ¬{E}x -> ({A}{a} & {B}{a}) fact5: (Ex): ¬{E}x fact6: (x): ¬{E}x -> {A}{a} ; $hypothesis$ = ({C}{a} & {D}{a}) ; $proof$ = | __UNKNOWN__ |
0.3 | 以äžã®ããã«ä»®å®ãããæå®ãé£ããšããããšãèµ·ãã | {B} | fact1: ã·ã«ã·ã¡ã
Lv.54äºä»¶ãçºçãã fact2: ãã·ã«ã·ã¡ã
Lv.54äºä»¶ã¯çºçããªãããšããããšã¯åŒãæããšããããšãšæå®ãé£ããšããããšãçããã«èµ·å ãã fact3: åŒãæããšããããšãçãã | fact1: {C} fact2: ({A} & {B}) -> ¬{C} fact3: {A} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããæå®ãé£ããšããããšãèµ·ãã; fact3 & assump1 -> int1: åŒãæããšããããšãšæå®ãé£ããšããããšã©ã¡ãããèµ·ãã; int1 & fact2 -> int2: ã·ã«ã·ã¡ã
Lv.54äºä»¶ã¯çããªã; int2 & fact1 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: {B}; fact3 & assump1 -> int1: ({A} & {B}); int1 & fact2 -> int2: ¬{C}; int2 & fact1 -> int3: #F#; [assump1] & int3 -> hypothesis;"
] | null | null | [] | null | 5 | 4 | 5 | 4 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ã·ã«ã·ã¡ã
Lv.54äºä»¶ãçºçãã fact2: ãã·ã«ã·ã¡ã
Lv.54äºä»¶ã¯çºçããªãããšããããšã¯åŒãæããšããããšãšæå®ãé£ããšããããšãçããã«èµ·å ãã fact3: åŒãæããšããããšãçãã ; $hypothesis$ = 以äžã®ããã«ä»®å®ãããæå®ãé£ããšããããšãèµ·ãã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ãããæå®ãé£ããšããããšãèµ·ãã; fact3 & assump1 -> int1: åŒãæããšããããšãšæå®ãé£ããšããããšã©ã¡ãããèµ·ãã; int1 & fact2 -> int2: ã·ã«ã·ã¡ã
Lv.54äºä»¶ã¯çããªã; int2 & fact1 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {C} fact2: ({A} & {B}) -> ¬{C} fact3: {A} ; $hypothesis$ = {B} ; $proof$ = | void -> assump1: {B}; fact3 & assump1 -> int1: ({A} & {B}); int1 & fact2 -> int2: ¬{C}; int2 & fact1 -> int3: #F#; [assump1] & int3 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ããªããLv.16ã¯æ»ãéããããŸãã¯åšããããã©ã¡ããã§ããããšããããšã¯çå®ã | ({C}{a} v {B}{a}) | fact1: ããããªã«ãããã®ã¢ã³ã¹ã¿ãŒãè
å¿ãããšããããã®ããªããLv.16ã¯æ»ãéããããããã¯åšãããããŸãã¯äž¡æ¹ã fact2: ããè
å¿ããããšããããšã¯çå®ã§ãããã¢ã³ã¹ã¿ãŒã¯ãã fact3: ä»®ã«ããã¢ã³ã¹ã¿ãŒãè
å¿ãããšãããšããã¯çèã fact4: ãã®ããªããLv.16ã¯æ»ãéããªããããã«ããã¯çµç·ããªã | fact1: (x): {A}x -> ({C}{a} v {B}{a}) fact2: (Ex): {A}x fact3: (x): {A}x -> {FI}x fact4: (¬{C}{a} & ¬{D}{a}) | [
"fact2 -> int1: ããè
å¿ããããšããããšã¯çå®ã§ãããã¢ã³ã¹ã¿ãŒã¯ãã; int1 & fact1 -> hypothesis;"
] | [
"fact2 -> int1: (Ex): {A}x; int1 & fact1 -> hypothesis;"
] | äœããã®ã¢ã³ã¹ã¿ãŒã¯çèã | (Ex): {FI}x | [
"fact6 -> int2: ããããã®ããªããLv.16ãè
å¿ãããªããã®ããªããLv.16ã¯çèã; fact5 -> int3: ãã®ããªããLv.16ã¯æ»ãéããªã;"
] | 5 | 2 | 2 | 2 | 2 | 2 | 0 | 2 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããããªã«ãããã®ã¢ã³ã¹ã¿ãŒãè
å¿ãããšããããã®ããªããLv.16ã¯æ»ãéããããããã¯åšãããããŸãã¯äž¡æ¹ã fact2: ããè
å¿ããããšããããšã¯çå®ã§ãããã¢ã³ã¹ã¿ãŒã¯ãã fact3: ä»®ã«ããã¢ã³ã¹ã¿ãŒãè
å¿ãããšãããšããã¯çèã fact4: ãã®ããªããLv.16ã¯æ»ãéããªããããã«ããã¯çµç·ããªã ; $hypothesis$ = ããã®ããªããLv.16ã¯æ»ãéããããŸãã¯åšããããã©ã¡ããã§ããããšããããšã¯çå®ã ; $proof$ = | fact2 -> int1: ããè
å¿ããããšããããšã¯çå®ã§ãããã¢ã³ã¹ã¿ãŒã¯ãã; int1 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): {A}x -> ({C}{a} v {B}{a}) fact2: (Ex): {A}x fact3: (x): {A}x -> {FI}x fact4: (¬{C}{a} & ¬{D}{a}) ; $hypothesis$ = ({C}{a} v {B}{a}) ; $proof$ = | fact2 -> int1: (Ex): {A}x; int1 & fact1 -> hypothesis; __PROVED__ |
0.3 | ãã®ãŸã«ããŸã¡ãLv.39ã¯çŸšãŸãããå ããŠç¹çãã | ({B}{a} & {A}{a}) | fact1: ä»®ã«ãã®ããããLv.87ã矚ãŸãããªããšãããšãã®ãŸã«ããŸã¡ãLv.39ã矚ãŸããããã®äžããã¯ç¹çãã fact2: ãã®ããããLv.87ã¯çãèŸã fact3: ãã®ããããLv.87ã¯ãã©ãã©ãã | fact1: ¬{B}{aa} -> ({B}{a} & {A}{a}) fact2: {AA}{aa} fact3: {AB}{aa} | [
"fact2 & fact3 -> int1: ãã®ããããLv.87ã¯çãèŸããŠãã©ãã©ãã;"
] | [
"fact2 & fact3 -> int1: ({AA}{aa} & {AB}{aa});"
] | null | null | [] | null | 4 | 3 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ä»®ã«ãã®ããããLv.87ã矚ãŸãããªããšãããšãã®ãŸã«ããŸã¡ãLv.39ã矚ãŸããããã®äžããã¯ç¹çãã fact2: ãã®ããããLv.87ã¯çãèŸã fact3: ãã®ããããLv.87ã¯ãã©ãã©ãã ; $hypothesis$ = ãã®ãŸã«ããŸã¡ãLv.39ã¯çŸšãŸãããå ããŠç¹çãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{B}{aa} -> ({B}{a} & {A}{a}) fact2: {AA}{aa} fact3: {AB}{aa} ; $hypothesis$ = ({B}{a} & {A}{a}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãŽããŽãLv.68äºä»¶ã¯èµ·ããªã | ¬{B} | fact1: ã·ã¡ãã·ã¡ã
Lv.82äºä»¶ã¯äººéã£ãœããšããããšãçãããšããããšããŽããŽãLv.68äºä»¶ã«é»æ¢ããã fact2: ã·ã¡ãã·ã¡ã
Lv.82äºä»¶ãèµ·ãã | fact1: ({A} v {B}) -> ¬{C} fact2: {C} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããããŽããŽãLv.68äºä»¶ãèµ·ããããšããããšã¯æãç«ã€; assump1 -> int1: 人éã£ãœããšããããšããããã¯ãŽããŽãLv.68äºä»¶ãçãã; int1 & fact1 -> int2: ã·ã¡ãã·ã¡ã
Lv.82äºä»¶ã¯èµ·ãããªã; int2 & fact2 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: {B}; assump1 -> int1: ({A} v {B}); int1 & fact1 -> int2: ¬{C}; int2 & fact2 -> int3: #F#; [assump1] & int3 -> hypothesis;"
] | null | null | [] | null | 5 | 3 | 5 | 3 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ã·ã¡ãã·ã¡ã
Lv.82äºä»¶ã¯äººéã£ãœããšããããšãçãããšããããšããŽããŽãLv.68äºä»¶ã«é»æ¢ããã fact2: ã·ã¡ãã·ã¡ã
Lv.82äºä»¶ãèµ·ãã ; $hypothesis$ = ãŽããŽãLv.68äºä»¶ã¯èµ·ããªã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ãããããŽããŽãLv.68äºä»¶ãèµ·ããããšããããšã¯æãç«ã€; assump1 -> int1: 人éã£ãœããšããããšããããã¯ãŽããŽãLv.68äºä»¶ãçãã; int1 & fact1 -> int2: ã·ã¡ãã·ã¡ã
Lv.82äºä»¶ã¯èµ·ãããªã; int2 & fact2 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis; __PROVED__ | $facts$ = fact1: ({A} v {B}) -> ¬{C} fact2: {C} ; $hypothesis$ = ¬{B} ; $proof$ = | void -> assump1: {B}; assump1 -> int1: ({A} v {B}); int1 & fact1 -> int2: ¬{C}; int2 & fact2 -> int3: #F#; [assump1] & int3 -> hypothesis; __PROVED__ |
0.3 | ããã¢ã³ã¹ã¿ãŒã¯è³æãé£ãããããçžãä»ã | (Ex): ({B}x & {C}x) | fact1: ããã®ãã«ããã«ãLv.51ã¯çžãä»ãããšããããšã¯äºå®ã fact2: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯èµ·ããé£ããŠããã«è³æãé£ã fact3: ãã®ãã«ããã«ãLv.51ã¯æ¬åœããã fact4: ããã®ãã«ããã«ãLv.51ã¯èµ·ããé£ãããšããããšã¯ééãã§ãªã fact5: ãã®ãã«ããã«ãLv.51ã¯æ¥ãããããã«å¿äœç¡ã fact6: ããããã¢ã³ã¹ã¿ãŒãè³æãé£ããšãããèµ·ããé£ã | fact1: {C}{a} fact2: (x): ({A}x & {B}x) fact3: {FS}{a} fact4: {A}{a} fact5: ({FN}{a} & {CS}{a}) fact6: (x): {B}x -> {A}x | [
"fact2 -> int1: ãã®ãã«ããã«ãLv.51ã¯èµ·ããé£ããŠããŸãã«è³æãé£ã; int1 -> int2: ãã®ãã«ããã«ãLv.51ã¯è³æãé£ã; int2 & fact1 -> int3: ãã®ãã«ããã«ãLv.51ã¯è³æãé£ããŠãã€çžãä»ã; int3 -> hypothesis;"
] | [
"fact2 -> int1: ({A}{a} & {B}{a}); int1 -> int2: {B}{a}; int2 & fact1 -> int3: ({B}{a} & {C}{a}); int3 -> hypothesis;"
] | ããã®ã¿ãªã¿ãLv.44ã¯èµ·ããé£ãããšããããšã¯ééã£ãŠããªã | {A}{bg} | [
"fact7 -> int4: ããä»®ã«ãã®ã¿ãªã¿ãLv.44ãè³æãé£ããšããã°èµ·ããé£ã;"
] | 6 | 4 | 4 | 4 | 4 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããã®ãã«ããã«ãLv.51ã¯çžãä»ãããšããããšã¯äºå®ã fact2: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯èµ·ããé£ããŠããã«è³æãé£ã fact3: ãã®ãã«ããã«ãLv.51ã¯æ¬åœããã fact4: ããã®ãã«ããã«ãLv.51ã¯èµ·ããé£ãããšããããšã¯ééãã§ãªã fact5: ãã®ãã«ããã«ãLv.51ã¯æ¥ãããããã«å¿äœç¡ã fact6: ããããã¢ã³ã¹ã¿ãŒãè³æãé£ããšãããèµ·ããé£ã ; $hypothesis$ = ããã¢ã³ã¹ã¿ãŒã¯è³æãé£ãããããçžãä»ã ; $proof$ = | fact2 -> int1: ãã®ãã«ããã«ãLv.51ã¯èµ·ããé£ããŠããŸãã«è³æãé£ã; int1 -> int2: ãã®ãã«ããã«ãLv.51ã¯è³æãé£ã; int2 & fact1 -> int3: ãã®ãã«ããã«ãLv.51ã¯è³æãé£ããŠãã€çžãä»ã; int3 -> hypothesis; __PROVED__ | $facts$ = fact1: {C}{a} fact2: (x): ({A}x & {B}x) fact3: {FS}{a} fact4: {A}{a} fact5: ({FN}{a} & {CS}{a}) fact6: (x): {B}x -> {A}x ; $hypothesis$ = (Ex): ({B}x & {C}x) ; $proof$ = | fact2 -> int1: ({A}{a} & {B}{a}); int1 -> int2: {B}{a}; int2 & fact1 -> int3: ({B}{a} & {C}{a}); int3 -> hypothesis; __PROVED__ |
0.3 | ããã®ããããLv.83ã¯ãããŸããããšããããšã¯çå®ã§ãã | {E}{d} | fact1: ããããã®ãããã¡ãLv.41ãç°å¥ªãããšããã°ãã®ããããLv.83ã¯ãããŸãã fact2: ãã®ã¿ã«ãã¿ãLv.5ã¯é£ãæã fact3: ä»®ã«ãã®ã¿ã«ãã¿ãLv.5ãé£ãæããŠãã€åºããªãã°ãã®ãŸããŸã«Lv.24ã¯æ°ä»ãé£ããªã fact4: ä»®ã«ãã®ãŸããŸã«Lv.24ãæ°ä»ãé£ããªããªãã°ãã®ãããã¡ãLv.41ã¯æ°ä»ãé£ããŠæŽã«ç°å¥ªãã fact5: ãã®ã¿ã«ãã¿ãLv.5ã¯åºã fact6: ããããã®ã¿ã«ãã¿ãLv.5ãé£ãæããŠãã€ãããŸãããšãããšãã®ããããLv.83ã¯ãããŸãããªã | fact1: {D}{c} -> {E}{d} fact2: {A}{a} fact3: ({A}{a} & {B}{a}) -> ¬{C}{b} fact4: ¬{C}{b} -> ({C}{c} & {D}{c}) fact5: {B}{a} fact6: ({A}{a} & {E}{a}) -> ¬{E}{d} | [
"fact2 & fact5 -> int1: ãã®ã¿ã«ãã¿ãLv.5ã¯é£ãæããŠåºã; int1 & fact3 -> int2: ããã®ãŸããŸã«Lv.24ã¯æ°ä»ãé£ããšããããšã¯ãªãããšããããšã¯äºå®ã§ãã; int2 & fact4 -> int3: ãã®ãããã¡ãLv.41ã¯æ°ä»ãé£ããå ããŠç°å¥ªãã; int3 -> int4: ãã®ãããã¡ãLv.41ã¯ç°å¥ªãã; int4 & fact1 -> hypothesis;"
] | [
"fact2 & fact5 -> int1: ({A}{a} & {B}{a}); int1 & fact3 -> int2: ¬{C}{b}; int2 & fact4 -> int3: ({C}{c} & {D}{c}); int3 -> int4: {D}{c}; int4 & fact1 -> hypothesis;"
] | ããã®ããããLv.83ã¯ãããŸããããšããããšã¯äºå®ã§ãããšããããšã¯ãªã | ¬{E}{d} | [] | 5 | 5 | 5 | 5 | 5 | 1 | 0 | 1 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããããã®ãããã¡ãLv.41ãç°å¥ªãããšããã°ãã®ããããLv.83ã¯ãããŸãã fact2: ãã®ã¿ã«ãã¿ãLv.5ã¯é£ãæã fact3: ä»®ã«ãã®ã¿ã«ãã¿ãLv.5ãé£ãæããŠãã€åºããªãã°ãã®ãŸããŸã«Lv.24ã¯æ°ä»ãé£ããªã fact4: ä»®ã«ãã®ãŸããŸã«Lv.24ãæ°ä»ãé£ããªããªãã°ãã®ãããã¡ãLv.41ã¯æ°ä»ãé£ããŠæŽã«ç°å¥ªãã fact5: ãã®ã¿ã«ãã¿ãLv.5ã¯åºã fact6: ããããã®ã¿ã«ãã¿ãLv.5ãé£ãæããŠãã€ãããŸãããšãããšãã®ããããLv.83ã¯ãããŸãããªã ; $hypothesis$ = ããã®ããããLv.83ã¯ãããŸããããšããããšã¯çå®ã§ãã ; $proof$ = | fact2 & fact5 -> int1: ãã®ã¿ã«ãã¿ãLv.5ã¯é£ãæããŠåºã; int1 & fact3 -> int2: ããã®ãŸããŸã«Lv.24ã¯æ°ä»ãé£ããšããããšã¯ãªãããšããããšã¯äºå®ã§ãã; int2 & fact4 -> int3: ãã®ãããã¡ãLv.41ã¯æ°ä»ãé£ããå ããŠç°å¥ªãã; int3 -> int4: ãã®ãããã¡ãLv.41ã¯ç°å¥ªãã; int4 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: {D}{c} -> {E}{d} fact2: {A}{a} fact3: ({A}{a} & {B}{a}) -> ¬{C}{b} fact4: ¬{C}{b} -> ({C}{c} & {D}{c}) fact5: {B}{a} fact6: ({A}{a} & {E}{a}) -> ¬{E}{d} ; $hypothesis$ = {E}{d} ; $proof$ = | fact2 & fact5 -> int1: ({A}{a} & {B}{a}); int1 & fact3 -> int2: ¬{C}{b}; int2 & fact4 -> int3: ({C}{c} & {D}{c}); int3 -> int4: {D}{c}; int4 & fact1 -> hypothesis; __PROVED__ |
0.3 | ããŽããŽã«Lv.50äºä»¶ãšçã
ãããšããããšãèµ·ããããšããããšã¯äºå®ãšç°ãªã | ¬({G} & {F}) | fact1: ãããèŠãããšã¯çºçããªãããšããããšã¯ç¢ºãã ãšãããšããŽããŽã«Lv.50äºä»¶ãçãããçã
ãããšããããšãèµ·ããããšããããšã¯ééãã§ãã fact2: ã調ç¯ãæããšããããšãçºçãããå ããŠã¿ã«ãã¿ãLv.76äºä»¶ã¯çºçããããšããããšã¯èŠãããšã¯èµ·ãããªããšããããšãæã fact3: ãŽãªãŽãLv.18äºä»¶ã¯ã¿ã«ãã¿ãLv.76äºä»¶ã«ç¹ãã fact4: ã¿ãã¿ãLv.58äºä»¶ãçãããæŽã«ãŽãªãŽãLv.18äºä»¶ãèµ·ãã fact5: 調ç¯ãæããšããããšãèµ·ãã | fact1: ¬{E} -> ¬({G} & {F}) fact2: ({D} & {C}) -> ¬{E} fact3: {B} -> {C} fact4: ({A} & {B}) fact5: {D} | [
"fact4 -> int1: ãŽãªãŽãLv.18äºä»¶ãçºçãã; int1 & fact3 -> int2: ã¿ã«ãã¿ãLv.76äºä»¶ãçºçãã; int2 & fact5 -> int3: 調ç¯ãæããšããããšããã³ã¿ã«ãã¿ãLv.76äºä»¶äž¡æ¹ãšããçºçãã; int3 & fact2 -> int4: èŠãããšã¯èµ·ãããªã; int4 & fact1 -> hypothesis;"
] | [
"fact4 -> int1: {B}; int1 & fact3 -> int2: {C}; int2 & fact5 -> int3: ({D} & {C}); int3 & fact2 -> int4: ¬{E}; int4 & fact1 -> hypothesis;"
] | null | null | [] | null | 5 | 5 | 5 | 5 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ãããèŠãããšã¯çºçããªãããšããããšã¯ç¢ºãã ãšãããšããŽããŽã«Lv.50äºä»¶ãçãããçã
ãããšããããšãèµ·ããããšããããšã¯ééãã§ãã fact2: ã調ç¯ãæããšããããšãçºçãããå ããŠã¿ã«ãã¿ãLv.76äºä»¶ã¯çºçããããšããããšã¯èŠãããšã¯èµ·ãããªããšããããšãæã fact3: ãŽãªãŽãLv.18äºä»¶ã¯ã¿ã«ãã¿ãLv.76äºä»¶ã«ç¹ãã fact4: ã¿ãã¿ãLv.58äºä»¶ãçãããæŽã«ãŽãªãŽãLv.18äºä»¶ãèµ·ãã fact5: 調ç¯ãæããšããããšãèµ·ãã ; $hypothesis$ = ããŽããŽã«Lv.50äºä»¶ãšçã
ãããšããããšãèµ·ããããšããããšã¯äºå®ãšç°ãªã ; $proof$ = | fact4 -> int1: ãŽãªãŽãLv.18äºä»¶ãçºçãã; int1 & fact3 -> int2: ã¿ã«ãã¿ãLv.76äºä»¶ãçºçãã; int2 & fact5 -> int3: 調ç¯ãæããšããããšããã³ã¿ã«ãã¿ãLv.76äºä»¶äž¡æ¹ãšããçºçãã; int3 & fact2 -> int4: èŠãããšã¯èµ·ãããªã; int4 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{E} -> ¬({G} & {F}) fact2: ({D} & {C}) -> ¬{E} fact3: {B} -> {C} fact4: ({A} & {B}) fact5: {D} ; $hypothesis$ = ¬({G} & {F}) ; $proof$ = | fact4 -> int1: {B}; int1 & fact3 -> int2: {C}; int2 & fact5 -> int3: ({D} & {C}); int3 & fact2 -> int4: ¬{E}; int4 & fact1 -> hypothesis; __PROVED__ |
0.3 | ãã®ãã¡ãããLv.7ã¯è²ã£ãœã | {C}{a} | fact1: ãããäœããã®ã¢ã³ã¹ã¿ãŒãç«æ³åãããšãããšè²ã£ãœã fact2: ããä»®ã«å ªãæãã¢ã³ã¹ã¿ãŒãå¿ãããªããªãã°å°è³¢ãã fact3: ãšããã¢ã³ã¹ã¿ãŒã¯å°è³¢ãããããã«è²ã£ãœã fact4: ãã®ãããã¡ãLv.55ã¯ç«æ³åãã fact5: è¿ããªãã¢ã³ã¹ã¿ãŒã¯å°è³¢ãããŠå
ãé£ã fact6: ãã®ãããã¡ãLv.55ã¯å ªãæãäžæ¹ã§å¿ãããªã fact7: ä»®ã«å°è³¢ããã¢ã³ã¹ã¿ãŒãç«æ³åããã°ãã®ãã¡ãããLv.7ã¯è²ã£ãœããªã fact8: ãã®ãããã¡ãLv.55ã¯å ªãæã | fact1: (x): {A}x -> {C}x fact2: (x): ({AA}x & ¬{AB}x) -> {B}x fact3: (Ex): ({B}x & {C}x) fact4: {A}{aa} fact5: (x): ¬{E}x -> ({B}x & {D}x) fact6: ({AA}{aa} & ¬{AB}{aa}) fact7: (x): ({B}x & {A}x) -> ¬{C}{a} fact8: {AA}{aa} | [
"fact2 -> int1: ãããã®ãããã¡ãLv.55ãå ªãæãäžæ¹ã§å¿ãããšããããšã¯ãªããšããã°ãã®ãããã¡ãLv.55ã¯å°è³¢ãã; int1 & fact6 -> int2: ãã®ãããã¡ãLv.55ã¯å°è³¢ãã; int2 & fact4 -> int3: ãã®ãããã¡ãLv.55ãå°è³¢ããããã®äžç«æ³åãã; int3 -> int4: äœããã®ã¢ã³ã¹ã¿ãŒãå°è³¢ããããã®äžç«æ³åãã; int4 & fact7 -> hypothesis;"
] | [
"fact2 -> int1: ({AA}{aa} & ¬{AB}{aa}) -> {B}{aa}; int1 & fact6 -> int2: {B}{aa}; int2 & fact4 -> int3: ({B}{aa} & {A}{aa}); int3 -> int4: (Ex): ({B}x & {A}x); int4 & fact7 -> hypothesis;"
] | ãã®ãã¡ãããLv.7ã¯è²ã£ãœã | {C}{a} | [
"fact9 -> int5: ä»®ã«ãã®ãã¡ãããLv.7ãç«æ³åãããšãããè²ã£ãœã; fact10 -> int6: ããããã®ãã¡ãããLv.7ãè¿ããªããšããããã®ãã¡ãããLv.7ã¯å°è³¢ãããŠããã¯å
ãé£ã;"
] | 5 | 5 | 5 | 5 | 5 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãããäœããã®ã¢ã³ã¹ã¿ãŒãç«æ³åãããšãããšè²ã£ãœã fact2: ããä»®ã«å ªãæãã¢ã³ã¹ã¿ãŒãå¿ãããªããªãã°å°è³¢ãã fact3: ãšããã¢ã³ã¹ã¿ãŒã¯å°è³¢ãããããã«è²ã£ãœã fact4: ãã®ãããã¡ãLv.55ã¯ç«æ³åãã fact5: è¿ããªãã¢ã³ã¹ã¿ãŒã¯å°è³¢ãããŠå
ãé£ã fact6: ãã®ãããã¡ãLv.55ã¯å ªãæãäžæ¹ã§å¿ãããªã fact7: ä»®ã«å°è³¢ããã¢ã³ã¹ã¿ãŒãç«æ³åããã°ãã®ãã¡ãããLv.7ã¯è²ã£ãœããªã fact8: ãã®ãããã¡ãLv.55ã¯å ªãæã ; $hypothesis$ = ãã®ãã¡ãããLv.7ã¯è²ã£ãœã ; $proof$ = | fact2 -> int1: ãããã®ãããã¡ãLv.55ãå ªãæãäžæ¹ã§å¿ãããšããããšã¯ãªããšããã°ãã®ãããã¡ãLv.55ã¯å°è³¢ãã; int1 & fact6 -> int2: ãã®ãããã¡ãLv.55ã¯å°è³¢ãã; int2 & fact4 -> int3: ãã®ãããã¡ãLv.55ãå°è³¢ããããã®äžç«æ³åãã; int3 -> int4: äœããã®ã¢ã³ã¹ã¿ãŒãå°è³¢ããããã®äžç«æ³åãã; int4 & fact7 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): {A}x -> {C}x fact2: (x): ({AA}x & ¬{AB}x) -> {B}x fact3: (Ex): ({B}x & {C}x) fact4: {A}{aa} fact5: (x): ¬{E}x -> ({B}x & {D}x) fact6: ({AA}{aa} & ¬{AB}{aa}) fact7: (x): ({B}x & {A}x) -> ¬{C}{a} fact8: {AA}{aa} ; $hypothesis$ = {C}{a} ; $proof$ = | fact2 -> int1: ({AA}{aa} & ¬{AB}{aa}) -> {B}{aa}; int1 & fact6 -> int2: {B}{aa}; int2 & fact4 -> int3: ({B}{aa} & {A}{aa}); int3 -> int4: (Ex): ({B}x & {A}x); int4 & fact7 -> hypothesis; __DISPROVED__ |
0.3 | ããä»®ã«éããšãããšãææããªããŠééãç¡ããªãããšããããšã¯æãç«ããªããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯èª€ãã§ãã | ¬((Ex): {A}x -> ¬(¬{AA}x & ¬{AB}x)) | fact1: ãããªãããã®ã¢ã³ã¹ã¿ãŒã¯éããªããããã¯ææããªããå ããŠééãç¡ããšããããšã¯ãªãããšããããšã¯åã | fact1: (x): {A}x -> ¬(¬{AA}x & ¬{AB}x) | [
"fact1 -> int1: ä»®ã«ãã®ããããLv.38ã¯éããšããã°ããã®ããããLv.38ã¯ææããªããããŸãã«ééãç¡ããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã; int1 -> hypothesis;"
] | [
"fact1 -> int1: {A}{aa} -> ¬(¬{AA}{aa} & ¬{AB}{aa}); int1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãããªãããã®ã¢ã³ã¹ã¿ãŒã¯éããªããããã¯ææããªããå ããŠééãç¡ããšããããšã¯ãªãããšããããšã¯åã ; $hypothesis$ = ããä»®ã«éããšãããšãææããªããŠééãç¡ããªãããšããããšã¯æãç«ããªããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯èª€ãã§ãã ; $proof$ = | fact1 -> int1: ä»®ã«ãã®ããããLv.38ã¯éããšããã°ããã®ããããLv.38ã¯ææããªããããŸãã«ééãç¡ããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã; int1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): {A}x -> ¬(¬{AA}x & ¬{AB}x) ; $hypothesis$ = ¬((Ex): {A}x -> ¬(¬{AA}x & ¬{AB}x)) ; $proof$ = | fact1 -> int1: {A}{aa} -> ¬(¬{AA}{aa} & ¬{AB}{aa}); int1 -> hypothesis; __DISPROVED__ |
0.3 | ãçåããããšãçããªããŠå ããŠãœããœãLv.37äºä»¶ã¯èµ·ãããªãããšããããšã¯ãããããããšããããšã«ããçãã | {B} -> (¬{C} & ¬{D}) | fact1: 奜ããããšããããšãçãã fact2: ãœããœãLv.37äºä»¶ã¯èµ·ããªã fact3: 埡詊ãããšããããã¯ãœã¡ã
ãœã«ãLv.14äºä»¶ããããã¯äž¡æ¹ãšããèµ·ãã fact4: ãçåããããšã¯çããªãããšããããšã¯ãã奜ããããšããããšããããããããšããããšããããã¯äž¡æ¹ãšããçºçããããšããããšã¯æ£ããããšããããšã«ããçºçãã fact5: ããããLv.71äºä»¶ãèµ·ããªããŠããã«ãŽã«ããŽãªLv.41äºä»¶ã¯çºçããªã | fact1: {A} fact2: ¬{D} fact3: ({AD} v {CK}) fact4: ({A} v {B}) -> ¬{C} fact5: (¬{CR} & ¬{AQ}) | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããããããããšããããšãèµ·ãã; assump1 -> int1: 奜ããããšããããšãçããããããã¯ãããããããšããããšãèµ·ããããŸãã¯ã©ã¡ããã ; int1 & fact4 -> int2: çåããããšã¯çºçããªã; int2 & fact2 -> int3: çåããããšãçºçããªããŠãœããœãLv.37äºä»¶ã¯çããªã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: {B}; assump1 -> int1: ({A} v {B}); int1 & fact4 -> int2: ¬{C}; int2 & fact2 -> int3: (¬{C} & ¬{D}); [assump1] & int3 -> hypothesis;"
] | null | null | [] | null | 5 | 3 | 5 | 3 | 3 | 0 | 3 | PROVED | null | PROVED | null | $facts$ = fact1: 奜ããããšããããšãçãã fact2: ãœããœãLv.37äºä»¶ã¯èµ·ããªã fact3: 埡詊ãããšããããã¯ãœã¡ã
ãœã«ãLv.14äºä»¶ããããã¯äž¡æ¹ãšããèµ·ãã fact4: ãçåããããšã¯çããªãããšããããšã¯ãã奜ããããšããããšããããããããšããããšããããã¯äž¡æ¹ãšããçºçããããšããããšã¯æ£ããããšããããšã«ããçºçãã fact5: ããããLv.71äºä»¶ãèµ·ããªããŠããã«ãŽã«ããŽãªLv.41äºä»¶ã¯çºçããªã ; $hypothesis$ = ãçåããããšãçããªããŠå ããŠãœããœãLv.37äºä»¶ã¯èµ·ãããªãããšããããšã¯ãããããããšããããšã«ããçãã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããããããããšããããšãèµ·ãã; assump1 -> int1: 奜ããããšããããšãçããããããã¯ãããããããšããããšãèµ·ããããŸãã¯ã©ã¡ããã ; int1 & fact4 -> int2: çåããããšã¯çºçããªã; int2 & fact2 -> int3: çåããããšãçºçããªããŠãœããœãLv.37äºä»¶ã¯çããªã; [assump1] & int3 -> hypothesis; __PROVED__ | $facts$ = fact1: {A} fact2: ¬{D} fact3: ({AD} v {CK}) fact4: ({A} v {B}) -> ¬{C} fact5: (¬{CR} & ¬{AQ}) ; $hypothesis$ = {B} -> (¬{C} & ¬{D}) ; $proof$ = | void -> assump1: {B}; assump1 -> int1: ({A} v {B}); int1 & fact4 -> int2: ¬{C}; int2 & fact2 -> int3: (¬{C} & ¬{D}); [assump1] & int3 -> hypothesis; __PROVED__ |
0.3 | ãã®ãŽããŽãLv.73ã¯æãããããããã¯åŸ¡é«ããªãããããã¯äž¡æ¹ã§ãã | ({E}{c} v ¬{C}{c}) | fact1: ãã®ãŽã¡ããŽã¡ã
Lv.85ã¯æ³šææ·±ããªã fact2: ä»®ã«ãã®ã·ãã·ãLv.1ã埡é«ããšããããã®ãŽããŽãLv.73ã¯æãããããªã fact3: ããä»®ã«ãã®ã·ãã·ãLv.1ã奜ãŸããªããã®ã·ãã·ãLv.1ã¯åŸ¡é«ã fact4: ãã®ãŽããŽãLv.73ã¯æãããããªã fact5: ãããã®ã·ãã·ãLv.1ã¯åŸ¡é«ããšããã°ããã®ãŽããŽãLv.73ã¯æãããããããã¯åŸ¡é«ããªãããããã¯äž¡æ¹ãšãã ããšããããšã¯èª€ãã fact6: ããä»®ã«ãã®ãŽã¡ããŽã¡ã
Lv.85ãæšãŠé£ããªããšããã°ãã®ã·ãã·ãLv.1ã¯å¥œãŸã fact7: ãã®ãŽã¡ããŽã¡ã
Lv.85ã¯æšãŠé£ããªãããŸã泚ææ·±ããªã | fact1: ¬{D}{a} fact2: {C}{b} -> ¬{E}{c} fact3: {B}{b} -> {C}{b} fact4: ¬{E}{c} fact5: {C}{b} -> ¬({E}{c} v ¬{C}{c}) fact6: ¬{A}{a} -> {B}{b} fact7: (¬{A}{a} & ¬{D}{a}) | [
"fact7 -> int1: ãã®ãŽã¡ããŽã¡ã
Lv.85ã¯æšãŠé£ããªã; fact6 & int1 -> int2: ãã®ã·ãã·ãLv.1ã¯å¥œãŸã; int2 & fact3 -> int3: ãã®ã·ãã·ãLv.1ã¯åŸ¡é«ã; int3 & fact5 -> hypothesis;"
] | [
"fact7 -> int1: ¬{A}{a}; fact6 & int1 -> int2: {B}{b}; int2 & fact3 -> int3: {C}{b}; int3 & fact5 -> hypothesis;"
] | null | null | [] | null | 4 | 4 | 4 | 4 | 3 | 0 | 3 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãã®ãŽã¡ããŽã¡ã
Lv.85ã¯æ³šææ·±ããªã fact2: ä»®ã«ãã®ã·ãã·ãLv.1ã埡é«ããšããããã®ãŽããŽãLv.73ã¯æãããããªã fact3: ããä»®ã«ãã®ã·ãã·ãLv.1ã奜ãŸããªããã®ã·ãã·ãLv.1ã¯åŸ¡é«ã fact4: ãã®ãŽããŽãLv.73ã¯æãããããªã fact5: ãããã®ã·ãã·ãLv.1ã¯åŸ¡é«ããšããã°ããã®ãŽããŽãLv.73ã¯æãããããããã¯åŸ¡é«ããªãããããã¯äž¡æ¹ãšãã ããšããããšã¯èª€ãã fact6: ããä»®ã«ãã®ãŽã¡ããŽã¡ã
Lv.85ãæšãŠé£ããªããšããã°ãã®ã·ãã·ãLv.1ã¯å¥œãŸã fact7: ãã®ãŽã¡ããŽã¡ã
Lv.85ã¯æšãŠé£ããªãããŸã泚ææ·±ããªã ; $hypothesis$ = ãã®ãŽããŽãLv.73ã¯æãããããããã¯åŸ¡é«ããªãããããã¯äž¡æ¹ã§ãã ; $proof$ = | fact7 -> int1: ãã®ãŽã¡ããŽã¡ã
Lv.85ã¯æšãŠé£ããªã; fact6 & int1 -> int2: ãã®ã·ãã·ãLv.1ã¯å¥œãŸã; int2 & fact3 -> int3: ãã®ã·ãã·ãLv.1ã¯åŸ¡é«ã; int3 & fact5 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{D}{a} fact2: {C}{b} -> ¬{E}{c} fact3: {B}{b} -> {C}{b} fact4: ¬{E}{c} fact5: {C}{b} -> ¬({E}{c} v ¬{C}{c}) fact6: ¬{A}{a} -> {B}{b} fact7: (¬{A}{a} & ¬{D}{a}) ; $hypothesis$ = ({E}{c} v ¬{C}{c}) ; $proof$ = | fact7 -> int1: ¬{A}{a}; fact6 & int1 -> int2: {B}{b}; int2 & fact3 -> int3: {C}{b}; int3 & fact5 -> hypothesis; __DISPROVED__ |
0.3 | ããšããã¢ã³ã¹ã¿ãŒã¯å£ãæãããŸãã¯ããã¯æ¡å
ããããŸãã¯äž¡æ¹ã ããšããããšã¯åœã | ¬((Ex): ({D}x v {E}x)) | fact1: ãã®ã¿ãã¿ãªLv.7ã¯çå±ã£ãœã fact2: ããã®ããããLv.1ã¯åŒãåºãæããŠæšæ®ºããããšããããšã¯æ£ãã fact3: ãã®ãã«ãã«ãLv.61ã¯çå±ã£ãœã fact4: ãã®ãã«ãã«ãLv.61ãæ¶ååžåããæããšãããšãã®ããããLv.1ã¯å€å¥ãæã fact5: ä»®ã«ãã®ããããLv.1ãå€å¥ãæããªããã®ãœãªãœã¡ãLv.50ã¯å£ãæã fact6: ãã®ãã«ãã«ãLv.61ã¯çå±ã£ãœãããŸãæ¶ååžåããæã | fact1: {A}{gq} fact2: ({AC}{b} & {ID}{b}) fact3: {A}{a} fact4: {B}{a} -> {C}{b} fact5: {C}{b} -> {D}{c} fact6: ({A}{a} & {B}{a}) | [
"fact6 -> int1: ãã®ãã«ãã«ãLv.61ã¯æ¶ååžåããæã; int1 & fact4 -> int2: ãã®ããããLv.1ã¯å€å¥ãæã; int2 & fact5 -> int3: ãã®ãœãªãœã¡ãLv.50ã¯å£ãæã; int3 -> int4: ãã®ãœãªãœã¡ãLv.50ã¯å£ãæãããããã¯æ¡å
ããããŸãã¯äž¡æ¹ã ; int4 -> hypothesis;"
] | [
"fact6 -> int1: {B}{a}; int1 & fact4 -> int2: {C}{b}; int2 & fact5 -> int3: {D}{c}; int3 -> int4: ({D}{c} v {E}{c}); int4 -> hypothesis;"
] | null | null | [] | null | 5 | 5 | 5 | 5 | 3 | 0 | 3 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãã®ã¿ãã¿ãªLv.7ã¯çå±ã£ãœã fact2: ããã®ããããLv.1ã¯åŒãåºãæããŠæšæ®ºããããšããããšã¯æ£ãã fact3: ãã®ãã«ãã«ãLv.61ã¯çå±ã£ãœã fact4: ãã®ãã«ãã«ãLv.61ãæ¶ååžåããæããšãããšãã®ããããLv.1ã¯å€å¥ãæã fact5: ä»®ã«ãã®ããããLv.1ãå€å¥ãæããªããã®ãœãªãœã¡ãLv.50ã¯å£ãæã fact6: ãã®ãã«ãã«ãLv.61ã¯çå±ã£ãœãããŸãæ¶ååžåããæã ; $hypothesis$ = ããšããã¢ã³ã¹ã¿ãŒã¯å£ãæãããŸãã¯ããã¯æ¡å
ããããŸãã¯äž¡æ¹ã ããšããããšã¯åœã ; $proof$ = | fact6 -> int1: ãã®ãã«ãã«ãLv.61ã¯æ¶ååžåããæã; int1 & fact4 -> int2: ãã®ããããLv.1ã¯å€å¥ãæã; int2 & fact5 -> int3: ãã®ãœãªãœã¡ãLv.50ã¯å£ãæã; int3 -> int4: ãã®ãœãªãœã¡ãLv.50ã¯å£ãæãããããã¯æ¡å
ããããŸãã¯äž¡æ¹ã ; int4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{gq} fact2: ({AC}{b} & {ID}{b}) fact3: {A}{a} fact4: {B}{a} -> {C}{b} fact5: {C}{b} -> {D}{c} fact6: ({A}{a} & {B}{a}) ; $hypothesis$ = ¬((Ex): ({D}x v {E}x)) ; $proof$ = | fact6 -> int1: {B}{a}; int1 & fact4 -> int2: {C}{b}; int2 & fact5 -> int3: {D}{c}; int3 -> int4: ({D}{c} v {E}{c}); int4 -> hypothesis; __DISPROVED__ |
0.3 | 以äžã®ããã«ä»®å®ããããã®ã·ãã·ã¡ãLv.60ã¯å¯æã | {A}{a} | fact1: ããªãããã®ã¢ã³ã¹ã¿ãŒã¯é¥ããªããå ããŠããã¯éããšããããšã¯ãªãããšããããšã¯æãç«ããªããšãããšããã¯ã现ããªã fact2: ããä»®ã«ãã®ã·ã«ã
ã·ãLv.73ã¯ç·å
¥ãæ¿ããããšãããããã®ãœãªãœãLv.90ã¯é¥ããªãããã®äžéããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact3: ãã®ã·ãã·ã¡ãLv.60ã¯åãåããªã fact4: ããããã®ãœãªãœãLv.90ã¯ã现ããªããšãããšãããã®ãŽããŽãªLv.83ã¯ãã€ããªãããããã¯æ Œå¥œè¯ããšããããšã¯ãªãããŸãã¯ã©ã¡ããã§ããããšããããšã¯åã ããšããããšã¯æãç«ã€ fact5: ãããã®ãœãªãœãLv.75ã¯æ Œå¥œè¯ããªããšãããšããã®ã·ãã·ã¡ãLv.60ã¯åãåããå¯æãããšããããšã¯æãç«ã€ fact6: ããã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯ç·å
¥ãæ¿ãããããããæ¡ç¹ããããšããããšã¯æãç«ã€ fact7: ããããã®ã·ãã·ã¡ãLv.60ãå¯æããªãã°åãåã | fact1: (x): ¬(¬{F}x & ¬{G}x) -> ¬{E}x fact2: {H}{e} -> ¬(¬{F}{d} & ¬{G}{d}) fact3: ¬{B}{a} fact4: ¬{E}{d} -> ¬(¬{D}{c} v ¬{C}{c}) fact5: ¬{C}{b} -> ({B}{a} & {A}{a}) fact6: (x): ({H}x & {I}x) fact7: {A}{a} -> {B}{a} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ã·ãã·ã¡ãLv.60ã¯å¯æã; fact7 & assump1 -> int1: ãã®ã·ãã·ã¡ãLv.60ã¯åãåã; int1 & fact3 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> hypothesis;"
] | [
"void -> assump1: {A}{a}; fact7 & assump1 -> int1: {B}{a}; int1 & fact3 -> int2: #F#; [assump1] & int2 -> hypothesis;"
] | 以äžã®ããã«ä»®å®ããããã®ã·ãã·ã¡ãLv.60ã¯å¯æã | {A}{a} | [
"fact12 -> int3: ããã®ãœãªãœãLv.90ã¯é¥ããªããå ããŠããã¯éããšããããšã¯ãªãããšããããšã¯æ¬åœã§ãªããšãããšãã®ãœãªãœãLv.90ã¯ã现ããšããããšã¯ãªã; fact10 -> int4: ãã®ã·ã«ã
ã·ãLv.73ã¯ç·å
¥ãæ¿ããããããã¯æ¡ç¹ãã; int4 -> int5: ãã®ã·ã«ã
ã·ãLv.73ã¯ç·å
¥ãæ¿ããã; fact8 & int5 -> int6: ããã®ãœãªãœãLv.90ã¯é¥ããªããŠæŽã«ããã¯éããªãããšããããšã¯æãç«ããªã; int3 & int6 -> int7: ãã®ãœãªãœãLv.90ã¯ã现ããªã; fact11 & int7 -> int8: ããã®ãŽããŽãªLv.83ã¯ãã€ããªããæ Œå¥œè¯ããªãããããã¯äž¡æ¹ã§ããããšããããšã¯èª€ã£ãŠãã; int8 -> int9: ãããã€ããªããæ Œå¥œè¯ããªãããããã¯äž¡æ¹ãšãã§ããããšããããšã¯æãç«ããªããã¢ã³ã¹ã¿ãŒã¯ãã;"
] | 9 | 4 | 3 | 4 | 3 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããªãããã®ã¢ã³ã¹ã¿ãŒã¯é¥ããªããå ããŠããã¯éããšããããšã¯ãªãããšããããšã¯æãç«ããªããšãããšããã¯ã现ããªã fact2: ããä»®ã«ãã®ã·ã«ã
ã·ãLv.73ã¯ç·å
¥ãæ¿ããããšãããããã®ãœãªãœãLv.90ã¯é¥ããªãããã®äžéããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact3: ãã®ã·ãã·ã¡ãLv.60ã¯åãåããªã fact4: ããããã®ãœãªãœãLv.90ã¯ã现ããªããšãããšãããã®ãŽããŽãªLv.83ã¯ãã€ããªãããããã¯æ Œå¥œè¯ããšããããšã¯ãªãããŸãã¯ã©ã¡ããã§ããããšããããšã¯åã ããšããããšã¯æãç«ã€ fact5: ãããã®ãœãªãœãLv.75ã¯æ Œå¥œè¯ããªããšãããšããã®ã·ãã·ã¡ãLv.60ã¯åãåããå¯æãããšããããšã¯æãç«ã€ fact6: ããã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯ç·å
¥ãæ¿ãããããããæ¡ç¹ããããšããããšã¯æãç«ã€ fact7: ããããã®ã·ãã·ã¡ãLv.60ãå¯æããªãã°åãåã ; $hypothesis$ = 以äžã®ããã«ä»®å®ããããã®ã·ãã·ã¡ãLv.60ã¯å¯æã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããã®ã·ãã·ã¡ãLv.60ã¯å¯æã; fact7 & assump1 -> int1: ãã®ã·ãã·ã¡ãLv.60ã¯åãåã; int1 & fact3 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ¬(¬{F}x & ¬{G}x) -> ¬{E}x fact2: {H}{e} -> ¬(¬{F}{d} & ¬{G}{d}) fact3: ¬{B}{a} fact4: ¬{E}{d} -> ¬(¬{D}{c} v ¬{C}{c}) fact5: ¬{C}{b} -> ({B}{a} & {A}{a}) fact6: (x): ({H}x & {I}x) fact7: {A}{a} -> {B}{a} ; $hypothesis$ = {A}{a} ; $proof$ = | void -> assump1: {A}{a}; fact7 & assump1 -> int1: {B}{a}; int1 & fact3 -> int2: #F#; [assump1] & int2 -> hypothesis; __DISPROVED__ |
0.3 | ãæãããšããããšã¯çããªããŠãã€ãœã«ããœãLv.51äºä»¶ã¯çºçããªãããšããããšã¯ééãã | ¬(¬{F} & ¬{E}) | fact1: ãæ¯çããšããããšããããã¯å°æ¢ããããšããããã¯äž¡æ¹ãšããçºçããããšããããšã¯ãœã«ããœãLv.51äºä»¶ãé»æ¢ãã fact2: æãããšããããšã¯çããªã fact3: ãããããLv.43äºä»¶ãèµ·ããããšããããšã¯ãæ¯çããšããããšã¯çããªãããšããããšãé²ã | fact1: ({C} v {D}) -> ¬{E} fact2: ¬{F} fact3: {A} -> {C} | [] | [] | null | null | [] | null | 5 | 5 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãæ¯çããšããããšããããã¯å°æ¢ããããšããããã¯äž¡æ¹ãšããçºçããããšããããšã¯ãœã«ããœãLv.51äºä»¶ãé»æ¢ãã fact2: æãããšããããšã¯çããªã fact3: ãããããLv.43äºä»¶ãèµ·ããããšããããšã¯ãæ¯çããšããããšã¯çããªãããšããããšãé²ã ; $hypothesis$ = ãæãããšããããšã¯çããªããŠãã€ãœã«ããœãLv.51äºä»¶ã¯çºçããªãããšããããšã¯ééãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({C} v {D}) -> ¬{E} fact2: ¬{F} fact3: {A} -> {C} ; $hypothesis$ = ¬(¬{F} & ¬{E}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã«ãããªLv.40äºä»¶ããŸãã¯æãããšããããšãèµ·ãã | ({A} v {B}) | fact1: ãã¬ãŒãã³ã°ããããšãçºçãã fact2: ãã«ãããªLv.40äºä»¶ãçºçãã fact3: ãŽã«ããŽãLv.44äºä»¶ãçºçããããããã¯ã¿ã«ãã¿ãLv.12äºä»¶ãèµ·ããããããã¯äž¡æ¹ã§ãã fact4: ãä»®ã«ãœã«ãœãLv.5äºä»¶ã¯èµ·ãããªããªãããã«ãããªLv.40äºä»¶ãèµ·ããããããã¯æãããšããããšãçããããããã¯äž¡æ¹ã ããšããããšã¯åã§ããããšããããšã¯æ¬åœã§ãã fact5: é£ãç¬ç¡ããšããããšãçºçãã | fact1: {FE} fact2: {A} fact3: ({AC} v {HJ}) fact4: ¬{C} -> ¬({A} v {B}) fact5: {GN} | [
"fact2 -> int1: ãã«ãããªLv.40äºä»¶ãçºçãã; int1 -> hypothesis;"
] | [
"fact2 -> int1: {A}; int1 -> hypothesis;"
] | ããã«ãããªLv.40äºä»¶ãèµ·ãããæãããšããããšãçããããšããããšã¯èª€ãã | ¬({A} v {B}) | [] | 6 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã¬ãŒãã³ã°ããããšãçºçãã fact2: ãã«ãããªLv.40äºä»¶ãçºçãã fact3: ãŽã«ããŽãLv.44äºä»¶ãçºçããããããã¯ã¿ã«ãã¿ãLv.12äºä»¶ãèµ·ããããããã¯äž¡æ¹ã§ãã fact4: ãä»®ã«ãœã«ãœãLv.5äºä»¶ã¯èµ·ãããªããªãããã«ãããªLv.40äºä»¶ãèµ·ããããããã¯æãããšããããšãçããããããã¯äž¡æ¹ã ããšããããšã¯åã§ããããšããããšã¯æ¬åœã§ãã fact5: é£ãç¬ç¡ããšããããšãçºçãã ; $hypothesis$ = ãã«ãããªLv.40äºä»¶ããŸãã¯æãããšããããšãèµ·ãã ; $proof$ = | fact2 -> int1: ãã«ãããªLv.40äºä»¶ãçºçãã; int1 -> hypothesis; __PROVED__ | $facts$ = fact1: {FE} fact2: {A} fact3: ({AC} v {HJ}) fact4: ¬{C} -> ¬({A} v {B}) fact5: {GN} ; $hypothesis$ = ({A} v {B}) ; $proof$ = | fact2 -> int1: {A}; int1 -> hypothesis; __PROVED__ |
0.3 | ãã®ãã«ããLv.21ã¯åŸ
ã¡é ãããªã | ¬{A}{a} | fact1: 匟ãæããªãã¢ã³ã¹ã¿ãŒã¯åŸ
ã¡é ãããŠããŸãã«æº¶ããåºã fact2: ãé£ãæããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒã¯åŒŸãæããªããå
¥å±
åºæ¥ãããšããããšã¯äºå®ã§ãã fact3: ããããã®ãŸããŸã«Lv.99ã¯èŠè©°ãçŽããšããããšã¯ãªããšãããšããã®ãã«ããLv.21ã¯åŸ
ã¡é ãããªãããšããããšã¯çå®ã§ãã fact4: ä»®ã«ããã®ãŸããŸã«Lv.99ã¯èŠè©°ãçŽããå ããŠããã¯ç«ãŠé£ãããšããããšã¯äºå®ãšç°ãªããšããã°ãã®ãã«ããLv.21ã¯åŸ
ã¡é ãããªã fact5: ãããããã®ãã«ããLv.21ã¯èŠè©°ãçŽããå ããŠç«ãŠé£ãããšããããšã¯æãç«ããªããšããããã®ãŸããŸã«Lv.99ã¯åŸ
ã¡é ãããšããããšã¯ãªã fact6: èŠè©°ãçŽãããã®äžç«ãŠé£ããšããã¢ã³ã¹ã¿ãŒã¯ãªã | fact1: (x): ¬{C}x -> ({A}x & {B}x) fact2: (x): ¬{E}x -> (¬{C}x & {D}x) fact3: ¬{AA}{aa} -> ¬{A}{a} fact4: ¬({AA}{aa} & {AB}{aa}) -> ¬{A}{a} fact5: ¬({AA}{a} & {AB}{a}) -> ¬{A}{aa} fact6: (x): ¬({AA}x & {AB}x) | [
"fact6 -> int1: ããã®ãŸããŸã«Lv.99ã¯èŠè©°ãçŽããç«ãŠé£ãããšããããšã¯ééã£ãŠãã; int1 & fact4 -> hypothesis;"
] | [
"fact6 -> int1: ¬({AA}{aa} & {AB}{aa}); int1 & fact4 -> hypothesis;"
] | ãã®ãã«ããLv.21ã¯åŸ
ã¡é ãã | {A}{a} | [
"fact7 -> int2: ããããã®ãã«ããLv.21ã匟ãæããªããšãããšããã¯åŸ
ã¡é ããããã®äžæº¶ããåºã; fact8 -> int3: ããããã®ãã«ããLv.21ãé£ãæããªããšããã匟ãæããªãããã©å
¥å±
åºæ¥ã;"
] | 5 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: 匟ãæããªãã¢ã³ã¹ã¿ãŒã¯åŸ
ã¡é ãããŠããŸãã«æº¶ããåºã fact2: ãé£ãæããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒã¯åŒŸãæããªããå
¥å±
åºæ¥ãããšããããšã¯äºå®ã§ãã fact3: ããããã®ãŸããŸã«Lv.99ã¯èŠè©°ãçŽããšããããšã¯ãªããšãããšããã®ãã«ããLv.21ã¯åŸ
ã¡é ãããªãããšããããšã¯çå®ã§ãã fact4: ä»®ã«ããã®ãŸããŸã«Lv.99ã¯èŠè©°ãçŽããå ããŠããã¯ç«ãŠé£ãããšããããšã¯äºå®ãšç°ãªããšããã°ãã®ãã«ããLv.21ã¯åŸ
ã¡é ãããªã fact5: ãããããã®ãã«ããLv.21ã¯èŠè©°ãçŽããå ããŠç«ãŠé£ãããšããããšã¯æãç«ããªããšããããã®ãŸããŸã«Lv.99ã¯åŸ
ã¡é ãããšããããšã¯ãªã fact6: èŠè©°ãçŽãããã®äžç«ãŠé£ããšããã¢ã³ã¹ã¿ãŒã¯ãªã ; $hypothesis$ = ãã®ãã«ããLv.21ã¯åŸ
ã¡é ãããªã ; $proof$ = | fact6 -> int1: ããã®ãŸããŸã«Lv.99ã¯èŠè©°ãçŽããç«ãŠé£ãããšããããšã¯ééã£ãŠãã; int1 & fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): ¬{C}x -> ({A}x & {B}x) fact2: (x): ¬{E}x -> (¬{C}x & {D}x) fact3: ¬{AA}{aa} -> ¬{A}{a} fact4: ¬({AA}{aa} & {AB}{aa}) -> ¬{A}{a} fact5: ¬({AA}{a} & {AB}{a}) -> ¬{A}{aa} fact6: (x): ¬({AA}x & {AB}x) ; $hypothesis$ = ¬{A}{a} ; $proof$ = | fact6 -> int1: ¬({AA}{aa} & {AB}{aa}); int1 & fact4 -> hypothesis; __PROVED__ |
0.3 | ããã管çãæããšããããšã¯ãªãããŸãã¯éŠŽã銎ãããããšããããšã¯äºå®ãšç°ãªããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯åã§ãã | ¬((Ex): ¬(¬{AA}x v {AB}x)) | fact1: 銎ã銎ããããªãã¢ã³ã¹ã¿ãŒã¯ãã fact2: ãã®ãã«ãã¡ã
Lv.33ã¯éŠŽã銎ããããªã fact3: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯éŠŽã銎ããããªã fact4: 管çãæããªãã銎ã銎ãããããŸãã¯ã©ã¡ããã§ããã¢ã³ã¹ã¿ãŒã¯ãªã | fact1: (Ex): ¬{AB}x fact2: ¬{AB}{aa} fact3: (x): ¬{AB}x fact4: (x): ¬(¬{AA}x v {AB}x) | [
"fact4 -> int1: ããã®ãã«ãã¡ã
Lv.33ã¯ç®¡çãæããšããããšã¯ãªãããŸãã¯ããã¯éŠŽã銎ãããããšããããšã¯åã ; int1 -> hypothesis;"
] | [
"fact4 -> int1: ¬(¬{AA}{aa} v {AB}{aa}); int1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 3 | 0 | 3 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: 銎ã銎ããããªãã¢ã³ã¹ã¿ãŒã¯ãã fact2: ãã®ãã«ãã¡ã
Lv.33ã¯éŠŽã銎ããããªã fact3: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯éŠŽã銎ããããªã fact4: 管çãæããªãã銎ã銎ãããããŸãã¯ã©ã¡ããã§ããã¢ã³ã¹ã¿ãŒã¯ãªã ; $hypothesis$ = ããã管çãæããšããããšã¯ãªãããŸãã¯éŠŽã銎ãããããšããããšã¯äºå®ãšç°ãªããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯åã§ãã ; $proof$ = | fact4 -> int1: ããã®ãã«ãã¡ã
Lv.33ã¯ç®¡çãæããšããããšã¯ãªãããŸãã¯ããã¯éŠŽã銎ãããããšããããšã¯åã ; int1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (Ex): ¬{AB}x fact2: ¬{AB}{aa} fact3: (x): ¬{AB}x fact4: (x): ¬(¬{AA}x v {AB}x) ; $hypothesis$ = ¬((Ex): ¬(¬{AA}x v {AB}x)) ; $proof$ = | fact4 -> int1: ¬(¬{AA}{aa} v {AB}{aa}); int1 -> hypothesis; __DISPROVED__ |
0.3 | ãæ²¹ã£ãœããšããããšããã³æãããããšããããšãçããããšããããšã¯ééã£ãŠãã | ¬({B} & {C}) | fact1: ãççž®åºæ¥ãããšããã³æ²¹ã£ãœããšããããšãçããããšããããšã¯æ¬åœã§ãã fact2: æãããããšããããšãçãã fact3: æ²¹ã£ãœããšããããšã¯çºçããªããšããããšã¯æãé€ããããšãšççž®åºæ¥ãããšãçãããçãããã | fact1: ({A} & {B}) fact2: {C} fact3: ¬{B} -> ({BE} & {A}) | [
"fact1 -> int1: æ²¹ã£ãœããšããããšãèµ·ãã; int1 & fact2 -> hypothesis;"
] | [
"fact1 -> int1: {B}; int1 & fact2 -> hypothesis;"
] | æãé€ããããšãèµ·ãã | {BE} | [] | 6 | 2 | 2 | 2 | 2 | 1 | 0 | 1 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãççž®åºæ¥ãããšããã³æ²¹ã£ãœããšããããšãçããããšããããšã¯æ¬åœã§ãã fact2: æãããããšããããšãçãã fact3: æ²¹ã£ãœããšããããšã¯çºçããªããšããããšã¯æãé€ããããšãšççž®åºæ¥ãããšãçãããçãããã ; $hypothesis$ = ãæ²¹ã£ãœããšããããšããã³æãããããšããããšãçããããšããããšã¯ééã£ãŠãã ; $proof$ = | fact1 -> int1: æ²¹ã£ãœããšããããšãèµ·ãã; int1 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({A} & {B}) fact2: {C} fact3: ¬{B} -> ({BE} & {A}) ; $hypothesis$ = ¬({B} & {C}) ; $proof$ = | fact1 -> int1: {B}; int1 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ã¿ã«ãã¿ãLv.26äºä»¶ã¯çºçããªã | ¬{D} | fact1: çä¹±ããããšã¯åºå
¥ããæããšããããšã«ç±æ¥ãã fact2: å·»ãäžããããšãšåºå
¥ããæããšããããšãèµ·ãã fact3: å
±æåããããšãçããªããšããããšã¯ããœããœãLv.18äºä»¶ã¯èµ·ãããªãããšããããšã¯å¥æ©ã fact4: ã¿ã¡ãã¿ã«ã
Lv.15äºä»¶ã¯èµ·ãããªã fact5: å·»ãäžããããšãèµ·ãã fact6: ã¿ãã¿ãLv.25äºä»¶ãçºçãã fact7: ãå
±æåããããšã¯çºçããªãããšããããšã¯ãã¿ã«ãã¿ãLv.26äºä»¶ãçºçããããã€å·»ãäžããããšã¯çºçããããšããããšãçºçããã fact8: ããä»®ã«çä¹±ããããšãšã¿ãã¿ãLv.25äºä»¶ãèµ·ãããªãã¿ã«ãã¿ãLv.26äºä»¶ã¯èµ·ãããªã fact9: ä»®ã«ãœããœãLv.18äºä»¶ã¯èµ·ãããªããšãããå·»ãäžããããšãšå
±æåããããšãçãã | fact1: {A} -> {B} fact2: ({E} & {A}) fact3: ¬{G} -> ¬{F} fact4: ¬{DO} fact5: {E} fact6: {C} fact7: ¬{F} -> ({D} & {E}) fact8: ({B} & {C}) -> ¬{D} fact9: ¬{G} -> ({E} & {F}) | [
"fact2 -> int1: åºå
¥ããæããšããããšãçºçãã; fact1 & int1 -> int2: çä¹±ããããšãèµ·ãã; int2 & fact6 -> int3: çä¹±ããããšããã³ã¿ãã¿ãLv.25äºä»¶äž¡æ¹ãèµ·ãã; int3 & fact8 -> hypothesis;"
] | [
"fact2 -> int1: {A}; fact1 & int1 -> int2: {B}; int2 & fact6 -> int3: ({B} & {C}); int3 & fact8 -> hypothesis;"
] | ã¿ã«ãã¿ãLv.26äºä»¶ãèµ·ãã | {D} | [] | 6 | 4 | 4 | 4 | 4 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: çä¹±ããããšã¯åºå
¥ããæããšããããšã«ç±æ¥ãã fact2: å·»ãäžããããšãšåºå
¥ããæããšããããšãèµ·ãã fact3: å
±æåããããšãçããªããšããããšã¯ããœããœãLv.18äºä»¶ã¯èµ·ãããªãããšããããšã¯å¥æ©ã fact4: ã¿ã¡ãã¿ã«ã
Lv.15äºä»¶ã¯èµ·ãããªã fact5: å·»ãäžããããšãèµ·ãã fact6: ã¿ãã¿ãLv.25äºä»¶ãçºçãã fact7: ãå
±æåããããšã¯çºçããªãããšããããšã¯ãã¿ã«ãã¿ãLv.26äºä»¶ãçºçããããã€å·»ãäžããããšã¯çºçããããšããããšãçºçããã fact8: ããä»®ã«çä¹±ããããšãšã¿ãã¿ãLv.25äºä»¶ãèµ·ãããªãã¿ã«ãã¿ãLv.26äºä»¶ã¯èµ·ãããªã fact9: ä»®ã«ãœããœãLv.18äºä»¶ã¯èµ·ãããªããšãããå·»ãäžããããšãšå
±æåããããšãçãã ; $hypothesis$ = ã¿ã«ãã¿ãLv.26äºä»¶ã¯çºçããªã ; $proof$ = | fact2 -> int1: åºå
¥ããæããšããããšãçºçãã; fact1 & int1 -> int2: çä¹±ããããšãèµ·ãã; int2 & fact6 -> int3: çä¹±ããããšããã³ã¿ãã¿ãLv.25äºä»¶äž¡æ¹ãèµ·ãã; int3 & fact8 -> hypothesis; __PROVED__ | $facts$ = fact1: {A} -> {B} fact2: ({E} & {A}) fact3: ¬{G} -> ¬{F} fact4: ¬{DO} fact5: {E} fact6: {C} fact7: ¬{F} -> ({D} & {E}) fact8: ({B} & {C}) -> ¬{D} fact9: ¬{G} -> ({E} & {F}) ; $hypothesis$ = ¬{D} ; $proof$ = | fact2 -> int1: {A}; fact1 & int1 -> int2: {B}; int2 & fact6 -> int3: ({B} & {C}); int3 & fact8 -> hypothesis; __PROVED__ |
0.3 | ãã®ã¿ãã¿ãLv.6ã¯å·ä»ãæã | {C}{c} | fact1: ããä»®ã«ãã®ãœããœã¡ãLv.87ãçå°åãããšãããšãã®ã¿ãã¿ãLv.6ã¯å·ä»ãæã fact2: ããä»®ã«ããã®ãœããœã«ã
Lv.50ã¯è²ãŠäžããããšããããšã¯æãç«ã€ãšããããã®ãœããœã¡ãLv.87ã¯çå°åãã | fact1: {B}{b} -> {C}{c} fact2: {A}{a} -> {B}{b} | [] | [] | null | null | [] | null | 2 | 2 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ããä»®ã«ãã®ãœããœã¡ãLv.87ãçå°åãããšãããšãã®ã¿ãã¿ãLv.6ã¯å·ä»ãæã fact2: ããä»®ã«ããã®ãœããœã«ã
Lv.50ã¯è²ãŠäžããããšããããšã¯æãç«ã€ãšããããã®ãœããœã¡ãLv.87ã¯çå°åãã ; $hypothesis$ = ãã®ã¿ãã¿ãLv.6ã¯å·ä»ãæã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {B}{b} -> {C}{c} fact2: {A}{a} -> {B}{b} ; $hypothesis$ = {C}{c} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã·ã«ãã·ã«Lv.16ã¯ç²ã£ãã | {E}{a} | fact1: ããä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯éã£ãœããªããšãããšãå³ãããªãããã©ç²ã£ããããšããããšã¯æ£ãããªã fact2: ä»®ã«ããã®ã·ã«ãã·ã«Lv.16ã¯åŒ±ã
ããããšããããšã¯çå®ã§ãããªãããã¯ç²ã£ãã fact3: ãã®ã·ãã·ã«ãLv.45ã¯ç²ã£ãã fact4: ããã®ã·ã«ãã·ã«Lv.16ã¯ãé£ããšããããšã¯ãªããŠããã«èŠä»ãæããªãããšããããšã¯åœã§ãã fact5: ä»®ã«ããã®ã·ã«ãã·ã«Lv.16ã¯å®ãç«ãŠãªãããšããããšã¯èª€ãã§ãããšãããšãããã¯ç®æ°ãããšããããšã¯ãªããæŽã«åŒ±ã
ãããªãããšããããšã¯åœã§ãã fact6: ããä»®ã«ãã®ã·ã«ãã·ã«Lv.16ãå³ãããªãããã¯éã£ãœã fact7: ãããã®ã·ã«ãã·ã«Lv.16ãç滞ããŸãããªãã°ãã®ã·ã«ãã·ã«Lv.16ã¯ç²ã£ãã fact8: ããããã®ã·ã«ãã·ã«Lv.16ãéã£ãœããšããããã®ã·ã«ãã·ã«Lv.16ã¯ç®æ°ãã fact9: ãããã®ã·ã«ãã·ã«Lv.16ãç®æ°ãããšãããããã¯åŒ±ã
ãã fact10: ããä»®ã«ããã®ã·ã«ãã·ã«Lv.16ã¯ãé£ããªããŠããã¯èŠä»ãæããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªããªããã®ã·ã«ãã·ã«Lv.16ã¯å³ãã | fact1: (x): ¬{A}x -> ¬(¬{B}x & {E}x) fact2: {D}{a} -> {E}{a} fact3: {E}{gr} fact4: ¬(¬{AA}{a} & ¬{AB}{a}) fact5: {F}{a} -> ¬(¬{C}{a} & ¬{D}{a}) fact6: {B}{a} -> {A}{a} fact7: {CR}{a} -> {E}{a} fact8: {A}{a} -> {C}{a} fact9: {C}{a} -> {D}{a} fact10: ¬(¬{AA}{a} & ¬{AB}{a}) -> {B}{a} | [
"fact10 & fact4 -> int1: ãã®ã·ã«ãã·ã«Lv.16ã¯å³ãã; int1 & fact6 -> int2: ãã®ã·ã«ãã·ã«Lv.16ã¯éã£ãœã; int2 & fact8 -> int3: ãã®ã·ã«ãã·ã«Lv.16ã¯ç®æ°ãã; int3 & fact9 -> int4: ãã®ã·ã«ãã·ã«Lv.16ã¯åŒ±ã
ãã; int4 & fact2 -> hypothesis;"
] | [
"fact10 & fact4 -> int1: {B}{a}; int1 & fact6 -> int2: {A}{a}; int2 & fact8 -> int3: {C}{a}; int3 & fact9 -> int4: {D}{a}; int4 & fact2 -> hypothesis;"
] | ãã®ã·ã«ãã·ã«Lv.16ã¯ç²ã£ãããªã | ¬{E}{a} | [
"fact12 -> int5: ä»®ã«ãã®ã·ã«ãã·ã«Lv.16ã¯éã£ãœããªããšãããšããã®ã·ã«ãã·ã«Lv.16ã¯å³ãããªãããã©ç²ã£ããããšããããšã¯äºå®ãšç°ãªã;"
] | 4 | 5 | 5 | 5 | 5 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯éã£ãœããªããšãããšãå³ãããªãããã©ç²ã£ããããšããããšã¯æ£ãããªã fact2: ä»®ã«ããã®ã·ã«ãã·ã«Lv.16ã¯åŒ±ã
ããããšããããšã¯çå®ã§ãããªãããã¯ç²ã£ãã fact3: ãã®ã·ãã·ã«ãLv.45ã¯ç²ã£ãã fact4: ããã®ã·ã«ãã·ã«Lv.16ã¯ãé£ããšããããšã¯ãªããŠããã«èŠä»ãæããªãããšããããšã¯åœã§ãã fact5: ä»®ã«ããã®ã·ã«ãã·ã«Lv.16ã¯å®ãç«ãŠãªãããšããããšã¯èª€ãã§ãããšãããšãããã¯ç®æ°ãããšããããšã¯ãªããæŽã«åŒ±ã
ãããªãããšããããšã¯åœã§ãã fact6: ããä»®ã«ãã®ã·ã«ãã·ã«Lv.16ãå³ãããªãããã¯éã£ãœã fact7: ãããã®ã·ã«ãã·ã«Lv.16ãç滞ããŸãããªãã°ãã®ã·ã«ãã·ã«Lv.16ã¯ç²ã£ãã fact8: ããããã®ã·ã«ãã·ã«Lv.16ãéã£ãœããšããããã®ã·ã«ãã·ã«Lv.16ã¯ç®æ°ãã fact9: ãããã®ã·ã«ãã·ã«Lv.16ãç®æ°ãããšãããããã¯åŒ±ã
ãã fact10: ããä»®ã«ããã®ã·ã«ãã·ã«Lv.16ã¯ãé£ããªããŠããã¯èŠä»ãæããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªããªããã®ã·ã«ãã·ã«Lv.16ã¯å³ãã ; $hypothesis$ = ãã®ã·ã«ãã·ã«Lv.16ã¯ç²ã£ãã ; $proof$ = | fact10 & fact4 -> int1: ãã®ã·ã«ãã·ã«Lv.16ã¯å³ãã; int1 & fact6 -> int2: ãã®ã·ã«ãã·ã«Lv.16ã¯éã£ãœã; int2 & fact8 -> int3: ãã®ã·ã«ãã·ã«Lv.16ã¯ç®æ°ãã; int3 & fact9 -> int4: ãã®ã·ã«ãã·ã«Lv.16ã¯åŒ±ã
ãã; int4 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): ¬{A}x -> ¬(¬{B}x & {E}x) fact2: {D}{a} -> {E}{a} fact3: {E}{gr} fact4: ¬(¬{AA}{a} & ¬{AB}{a}) fact5: {F}{a} -> ¬(¬{C}{a} & ¬{D}{a}) fact6: {B}{a} -> {A}{a} fact7: {CR}{a} -> {E}{a} fact8: {A}{a} -> {C}{a} fact9: {C}{a} -> {D}{a} fact10: ¬(¬{AA}{a} & ¬{AB}{a}) -> {B}{a} ; $hypothesis$ = {E}{a} ; $proof$ = | fact10 & fact4 -> int1: {B}{a}; int1 & fact6 -> int2: {A}{a}; int2 & fact8 -> int3: {C}{a}; int3 & fact9 -> int4: {D}{a}; int4 & fact2 -> hypothesis; __PROVED__ |
0.3 | ãããæ¶èããšããããšãçããäžæ¹ã§ãŸã«ãŸã¡ã
Lv.16äºä»¶ã¯èµ·ãããªãããšããããšã¯é¢ç®ç¡ããšããããšã«ããããããããšããããšã¯äºå®ã§ããããšããããšã¯åœã§ãã | ¬({A} -> ({E} & ¬{D})) | fact1: ãããã·ãã·ãLv.27äºä»¶ãçºçããªããªãã°æ¶èããšããããšã¯çºçãããããããŸã«ãŸã¡ã
Lv.16äºä»¶ã¯çããªã fact2: ããç©å¯ãããšããããšã¯èµ·ãããªããšããã貫培åºæ¥ãããšãèµ·ããããŸã¡ããŸã¡ãLv.71äºä»¶ã¯èµ·ããªã fact3: äžãé£ããšããããšãèµ·ãã fact4: èŠæ
£ãéããããšãèµ·ãã fact5: 圢容ãé£ããšããããšãçºçãã fact6: ã¿ãã¿ã«ãLv.43äºä»¶ããã³åœããé£ããšããããšã©ã¡ãããèµ·ãã fact7: ãé¢ç®ç¡ããšããããšãšèŠæ
£ãéããããšã©ã¡ãããèµ·ããããšããããšã¯ã·ãã·ãLv.27äºä»¶ãåé¿ãã fact8: äžãæããšããããšãèµ·ãã | fact1: ¬{C} -> ({E} & ¬{D}) fact2: ¬{CQ} -> ({ET} & ¬{BC}) fact3: {DR} fact4: {B} fact5: {EN} fact6: ({HC} & {HR}) fact7: ({A} & {B}) -> ¬{C} fact8: {AA} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããé¢ç®ç¡ããšããããšãçãã; assump1 & fact4 -> int1: é¢ç®ç¡ããšããããšãçºçããããŸãèŠæ
£ãéããããšãèµ·ãã; int1 & fact7 -> int2: ããã·ãã·ãLv.27äºä»¶ãçºçããããšããããšã¯æãç«ã€ããšããããšã¯æãç«ããªã; int2 & fact1 -> int3: æ¶èããšããããšãçãããã©ãŸã«ãŸã¡ã
Lv.16äºä»¶ã¯çºçããªã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: {A}; assump1 & fact4 -> int1: ({A} & {B}); int1 & fact7 -> int2: ¬{C}; int2 & fact1 -> int3: ({E} & ¬{D}); [assump1] & int3 -> hypothesis;"
] | null | null | [] | null | 5 | 4 | 5 | 4 | 5 | 0 | 5 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãããã·ãã·ãLv.27äºä»¶ãçºçããªããªãã°æ¶èããšããããšã¯çºçãããããããŸã«ãŸã¡ã
Lv.16äºä»¶ã¯çããªã fact2: ããç©å¯ãããšããããšã¯èµ·ãããªããšããã貫培åºæ¥ãããšãèµ·ããããŸã¡ããŸã¡ãLv.71äºä»¶ã¯èµ·ããªã fact3: äžãé£ããšããããšãèµ·ãã fact4: èŠæ
£ãéããããšãèµ·ãã fact5: 圢容ãé£ããšããããšãçºçãã fact6: ã¿ãã¿ã«ãLv.43äºä»¶ããã³åœããé£ããšããããšã©ã¡ãããèµ·ãã fact7: ãé¢ç®ç¡ããšããããšãšèŠæ
£ãéããããšã©ã¡ãããèµ·ããããšããããšã¯ã·ãã·ãLv.27äºä»¶ãåé¿ãã fact8: äžãæããšããããšãèµ·ãã ; $hypothesis$ = ãããæ¶èããšããããšãçããäžæ¹ã§ãŸã«ãŸã¡ã
Lv.16äºä»¶ã¯èµ·ãããªãããšããããšã¯é¢ç®ç¡ããšããããšã«ããããããããšããããšã¯äºå®ã§ããããšããããšã¯åœã§ãã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ãããé¢ç®ç¡ããšããããšãçãã; assump1 & fact4 -> int1: é¢ç®ç¡ããšããããšãçºçããããŸãèŠæ
£ãéããããšãèµ·ãã; int1 & fact7 -> int2: ããã·ãã·ãLv.27äºä»¶ãçºçããããšããããšã¯æãç«ã€ããšããããšã¯æãç«ããªã; int2 & fact1 -> int3: æ¶èããšããããšãçãããã©ãŸã«ãŸã¡ã
Lv.16äºä»¶ã¯çºçããªã; [assump1] & int3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{C} -> ({E} & ¬{D}) fact2: ¬{CQ} -> ({ET} & ¬{BC}) fact3: {DR} fact4: {B} fact5: {EN} fact6: ({HC} & {HR}) fact7: ({A} & {B}) -> ¬{C} fact8: {AA} ; $hypothesis$ = ¬({A} -> ({E} & ¬{D})) ; $proof$ = | void -> assump1: {A}; assump1 & fact4 -> int1: ({A} & {B}); int1 & fact7 -> int2: ¬{C}; int2 & fact1 -> int3: ({E} & ¬{D}); [assump1] & int3 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ã·ãã·ã®Lv.92ã¯å¿ããªããŠå£åŸãã | ({A}{a} & {C}{a}) | fact1: ãããŸãããªãã¢ã³ã¹ã¿ãŒã¯åãããããã€æ°é«ã fact2: ãããã®ã·ãã·ã®Lv.92ãåããããšãããšãã®ã·ãã·ã®Lv.92ã¯å¿ããªã fact3: ããããã®ã·ãã·ã®Lv.92ãä¿è·ããã°ãã®ã·ãã·ã®Lv.92ã¯åããã fact4: ä»®ã«ããã®ã·ãã·ã®Lv.92ã¯ä¿è·ãããªããåŒã£ç«ãŠãããšããããšã¯äºå®ãšç°ãªããšããã°ããã¯åããã fact5: ãã®ãœã«ãœã«ãLv.14ã¯æµžããæŽã«ããã¯æ°é«ã fact6: ä»®ã«ãã®ã·ãã·ã®Lv.92ã¯æ°é«ããªããªãã°ãä¿è·ããæŽã«åŒã£ç«ãŠãããšããããšã¯æ£ãããªã fact7: ããã®ã·ãã·ã®Lv.92ã¯ä¿è·ããããã¯åŒã£ç«ãŠãããšããããšã¯åœã fact8: ãã®ã·ãã·ã®Lv.92ã¯æ°é«ããªã fact9: ãã®ã·ãã·ã®Lv.92ã¯å£åŸãã fact10: ããä»®ã«ãã®ã·ãã·ã®Lv.92ã¯æ°é«ããªããšãããšãä¿è·ããšããããšã¯ãªãããããåŒã£ç«ãŠãããšããããšã¯ééã£ãŠãã | fact1: (x): ¬{E}x -> ({B}x & {D}x) fact2: {B}{a} -> {A}{a} fact3: {AA}{a} -> {B}{a} fact4: ¬(¬{AA}{a} & {AB}{a}) -> {B}{a} fact5: ({DN}{gm} & {D}{gm}) fact6: ¬{D}{a} -> ¬({AA}{a} & {AB}{a}) fact7: ¬({AA}{a} & {AB}{a}) fact8: ¬{D}{a} fact9: {C}{a} fact10: ¬{D}{a} -> ¬(¬{AA}{a} & {AB}{a}) | [
"fact8 & fact10 -> int1: ããã®ã·ãã·ã®Lv.92ã¯ä¿è·ãããªãäžæ¹ã§åŒã£ç«ãŠãããšããããšã¯æãç«ããªã; fact4 & int1 -> int2: ãã®ã·ãã·ã®Lv.92ã¯åããã; int2 & fact2 -> int3: ãã®ã·ãã·ã®Lv.92ã¯å¿ããªã; int3 & fact9 -> hypothesis;"
] | [
"fact8 & fact10 -> int1: ¬(¬{AA}{a} & {AB}{a}); fact4 & int1 -> int2: {B}{a}; int2 & fact2 -> int3: {A}{a}; int3 & fact9 -> hypothesis;"
] | ããã®ã·ãã·ã®Lv.92ã¯å¿ããªããããã«ããã¯å£åŸããããšããããšã¯æãç«ããªã | ¬({A}{a} & {C}{a}) | [
"fact11 -> int4: ä»®ã«ãã®ã¿ãã¿ã«ã
Lv.80ããããŸãããšããããšã¯ãªããªãã°ãã®ã¿ãã¿ã«ã
Lv.80ã¯åããããããã«æ°é«ã;"
] | 5 | 4 | 4 | 4 | 4 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãããŸãããªãã¢ã³ã¹ã¿ãŒã¯åãããããã€æ°é«ã fact2: ãããã®ã·ãã·ã®Lv.92ãåããããšãããšãã®ã·ãã·ã®Lv.92ã¯å¿ããªã fact3: ããããã®ã·ãã·ã®Lv.92ãä¿è·ããã°ãã®ã·ãã·ã®Lv.92ã¯åããã fact4: ä»®ã«ããã®ã·ãã·ã®Lv.92ã¯ä¿è·ãããªããåŒã£ç«ãŠãããšããããšã¯äºå®ãšç°ãªããšããã°ããã¯åããã fact5: ãã®ãœã«ãœã«ãLv.14ã¯æµžããæŽã«ããã¯æ°é«ã fact6: ä»®ã«ãã®ã·ãã·ã®Lv.92ã¯æ°é«ããªããªãã°ãä¿è·ããæŽã«åŒã£ç«ãŠãããšããããšã¯æ£ãããªã fact7: ããã®ã·ãã·ã®Lv.92ã¯ä¿è·ããããã¯åŒã£ç«ãŠãããšããããšã¯åœã fact8: ãã®ã·ãã·ã®Lv.92ã¯æ°é«ããªã fact9: ãã®ã·ãã·ã®Lv.92ã¯å£åŸãã fact10: ããä»®ã«ãã®ã·ãã·ã®Lv.92ã¯æ°é«ããªããšãããšãä¿è·ããšããããšã¯ãªãããããåŒã£ç«ãŠãããšããããšã¯ééã£ãŠãã ; $hypothesis$ = ãã®ã·ãã·ã®Lv.92ã¯å¿ããªããŠå£åŸãã ; $proof$ = | fact8 & fact10 -> int1: ããã®ã·ãã·ã®Lv.92ã¯ä¿è·ãããªãäžæ¹ã§åŒã£ç«ãŠãããšããããšã¯æãç«ããªã; fact4 & int1 -> int2: ãã®ã·ãã·ã®Lv.92ã¯åããã; int2 & fact2 -> int3: ãã®ã·ãã·ã®Lv.92ã¯å¿ããªã; int3 & fact9 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): ¬{E}x -> ({B}x & {D}x) fact2: {B}{a} -> {A}{a} fact3: {AA}{a} -> {B}{a} fact4: ¬(¬{AA}{a} & {AB}{a}) -> {B}{a} fact5: ({DN}{gm} & {D}{gm}) fact6: ¬{D}{a} -> ¬({AA}{a} & {AB}{a}) fact7: ¬({AA}{a} & {AB}{a}) fact8: ¬{D}{a} fact9: {C}{a} fact10: ¬{D}{a} -> ¬(¬{AA}{a} & {AB}{a}) ; $hypothesis$ = ({A}{a} & {C}{a}) ; $proof$ = | fact8 & fact10 -> int1: ¬(¬{AA}{a} & {AB}{a}); fact4 & int1 -> int2: {B}{a}; int2 & fact2 -> int3: {A}{a}; int3 & fact9 -> hypothesis; __PROVED__ |
0.3 | ä»®ã«ãã®ãã«ããã¡ã
Lv.84ã¯é£²ã¿æããšããããè²·ãæããªãããããã¯åŒãåºãæãããããã¯äž¡æ¹ãšãã§ããããšããããšã¯åœã | {A}{a} -> ¬(¬{D}{a} v {B}{a}) | fact1: ããããã®ãã«ããã¡ã
Lv.84ãåãé£ããªããè¡è
¥ããšããã°ãã®ãã«ããã¡ã
Lv.84ã¯åŒãåºãæããªã fact2: ãã®ãã«ããã¡ã
Lv.84ã¯åŒãåºãæããªããšãããããã®ãã«ããã¡ã
Lv.84ã¯è²·ãæããšããããšã¯ãªããããã¯åŒãåºãæãããããã¯ã©ã¡ããã ããšããããšã¯åã§ãã | fact1: (¬{AA}{a} & {AB}{a}) -> ¬{B}{a} fact2: ¬{B}{a} -> ¬(¬{D}{a} v {B}{a}) | [] | [] | null | null | [] | null | 5 | 4 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ããããã®ãã«ããã¡ã
Lv.84ãåãé£ããªããè¡è
¥ããšããã°ãã®ãã«ããã¡ã
Lv.84ã¯åŒãåºãæããªã fact2: ãã®ãã«ããã¡ã
Lv.84ã¯åŒãåºãæããªããšãããããã®ãã«ããã¡ã
Lv.84ã¯è²·ãæããšããããšã¯ãªããããã¯åŒãåºãæãããããã¯ã©ã¡ããã ããšããããšã¯åã§ãã ; $hypothesis$ = ä»®ã«ãã®ãã«ããã¡ã
Lv.84ã¯é£²ã¿æããšããããè²·ãæããªãããããã¯åŒãåºãæãããããã¯äž¡æ¹ãšãã§ããããšããããšã¯åœã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (¬{AA}{a} & {AB}{a}) -> ¬{B}{a} fact2: ¬{B}{a} -> ¬(¬{D}{a} v {B}{a}) ; $hypothesis$ = {A}{a} -> ¬(¬{D}{a} v {B}{a}) ; $proof$ = | __UNKNOWN__ |
0.3 | ã蚺çããããšãèµ·ãããåãã¡é£ããšããããšãçºçããããããã¯äž¡æ¹ãšãã ããšããããšã¯äºå®ãšç°ãªã | ¬({E} v {F}) | fact1: å·ãéããããšãšãŸã¡ããŸãLv.48äºä»¶ãèµ·ãã fact2: æ°Žã£ãœããšããããšã¯æãŸãæããšããããšãçºçããã fact3: å·ãéããããšã¯èµ·ãããªããšããã°ã蚺çããããšãçºçããããŸãã¯åãã¡é£ããšããããšã¯çºçããããšããããšã¯æãç«ããªã fact4: ã蚺çããããšã¯èµ·ãããªãããšããããšã¯æãŸãæããšããããšã«é»ãŸãã fact5: ãœããœã¡ãLv.79äºä»¶ãèµ·ãã fact6: å·ãéããããšãçºçãã | fact1: ({A} & {B}) fact2: {C} -> {D} fact3: ¬{A} -> ¬({E} v {F}) fact4: {D} -> {E} fact5: {HO} fact6: {A} | [
"fact1 -> int1: ãŸã¡ããŸãLv.48äºä»¶ãèµ·ãã;"
] | [
"fact1 -> int1: {B};"
] | ã蚺çããããšãèµ·ãããåãã¡é£ããšããããšãçºçããããããã¯äž¡æ¹ãšãã ããšããããšã¯äºå®ãšç°ãªã | ¬({E} v {F}) | [] | 6 | 5 | 5 | null | null | 3 | 0 | 3 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: å·ãéããããšãšãŸã¡ããŸãLv.48äºä»¶ãèµ·ãã fact2: æ°Žã£ãœããšããããšã¯æãŸãæããšããããšãçºçããã fact3: å·ãéããããšã¯èµ·ãããªããšããã°ã蚺çããããšãçºçããããŸãã¯åãã¡é£ããšããããšã¯çºçããããšããããšã¯æãç«ããªã fact4: ã蚺çããããšã¯èµ·ãããªãããšããããšã¯æãŸãæããšããããšã«é»ãŸãã fact5: ãœããœã¡ãLv.79äºä»¶ãèµ·ãã fact6: å·ãéããããšãçºçãã ; $hypothesis$ = ã蚺çããããšãèµ·ãããåãã¡é£ããšããããšãçºçããããããã¯äž¡æ¹ãšãã ããšããããšã¯äºå®ãšç°ãªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({A} & {B}) fact2: {C} -> {D} fact3: ¬{A} -> ¬({E} v {F}) fact4: {D} -> {E} fact5: {HO} fact6: {A} ; $hypothesis$ = ¬({E} v {F}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã·ãªã·ã¡ã
Lv.69ã¯ä¹
ãã | {E}{b} | fact1: ä»®ã«ãã®ã·ãªã·ã¡ã
Lv.69ãåŠæ€ããªããšãããšãã®ã·ãªã·ã¡ã
Lv.69ã¯ä¹
ãã fact2: ããä»®ã«ãã®ã·ãªã·ã¡ã
Lv.69ãéãããªããªãããã¯åŠæ€ããªã fact3: ãç解ãåŸããã¢ã³ã¹ã¿ãŒã¯ãã fact4: ãã®ãœããœã«ãLv.8ã¯äžããæããªã fact5: ãã®ãœããœã«ãLv.8ã¯ç解ãåŸã fact6: ãããäžããæããªãã¢ã³ã¹ã¿ãŒã§ããå ããŠç解ãåŸãã¢ã³ã¹ã¿ãŒããããªããã®ã·ãªã·ã¡ã
Lv.69ã¯éãããªã | fact1: ¬{D}{b} -> {E}{b} fact2: ¬{C}{b} -> ¬{D}{b} fact3: (Ex): {B}x fact4: ¬{A}{a} fact5: {B}{a} fact6: (x): (¬{A}x & {B}x) -> ¬{C}{b} | [
"fact4 & fact5 -> int1: ãã®ãœããœã«ãLv.8ã¯äžããæããªããç解ãåŸã; int1 -> int2: ãããã¢ã³ã¹ã¿ãŒã¯äžããæããªããã©ç解ãåŸãããšããããšã¯æ¬åœã ; int2 & fact6 -> int3: ãã®ã·ãªã·ã¡ã
Lv.69ã¯éãããªã; int3 & fact2 -> int4: ãã®ã·ãªã·ã¡ã
Lv.69ã¯åŠæ€ããšããããšã¯ãªã; int4 & fact1 -> hypothesis;"
] | [
"fact4 & fact5 -> int1: (¬{A}{a} & {B}{a}); int1 -> int2: (Ex): (¬{A}x & {B}x); int2 & fact6 -> int3: ¬{C}{b}; int3 & fact2 -> int4: ¬{D}{b}; int4 & fact1 -> hypothesis;"
] | null | null | [] | null | 5 | 5 | 5 | 5 | 1 | 0 | 1 | PROVED | null | PROVED | null | $facts$ = fact1: ä»®ã«ãã®ã·ãªã·ã¡ã
Lv.69ãåŠæ€ããªããšãããšãã®ã·ãªã·ã¡ã
Lv.69ã¯ä¹
ãã fact2: ããä»®ã«ãã®ã·ãªã·ã¡ã
Lv.69ãéãããªããªãããã¯åŠæ€ããªã fact3: ãç解ãåŸããã¢ã³ã¹ã¿ãŒã¯ãã fact4: ãã®ãœããœã«ãLv.8ã¯äžããæããªã fact5: ãã®ãœããœã«ãLv.8ã¯ç解ãåŸã fact6: ãããäžããæããªãã¢ã³ã¹ã¿ãŒã§ããå ããŠç解ãåŸãã¢ã³ã¹ã¿ãŒããããªããã®ã·ãªã·ã¡ã
Lv.69ã¯éãããªã ; $hypothesis$ = ãã®ã·ãªã·ã¡ã
Lv.69ã¯ä¹
ãã ; $proof$ = | fact4 & fact5 -> int1: ãã®ãœããœã«ãLv.8ã¯äžããæããªããç解ãåŸã; int1 -> int2: ãããã¢ã³ã¹ã¿ãŒã¯äžããæããªããã©ç解ãåŸãããšããããšã¯æ¬åœã ; int2 & fact6 -> int3: ãã®ã·ãªã·ã¡ã
Lv.69ã¯éãããªã; int3 & fact2 -> int4: ãã®ã·ãªã·ã¡ã
Lv.69ã¯åŠæ€ããšããããšã¯ãªã; int4 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{D}{b} -> {E}{b} fact2: ¬{C}{b} -> ¬{D}{b} fact3: (Ex): {B}x fact4: ¬{A}{a} fact5: {B}{a} fact6: (x): (¬{A}x & {B}x) -> ¬{C}{b} ; $hypothesis$ = {E}{b} ; $proof$ = | fact4 & fact5 -> int1: (¬{A}{a} & {B}{a}); int1 -> int2: (Ex): (¬{A}x & {B}x); int2 & fact6 -> int3: ¬{C}{b}; int3 & fact2 -> int4: ¬{D}{b}; int4 & fact1 -> hypothesis; __PROVED__ |
0.3 | ããã匱ããå ããŠçºæ®ãæããªããšããããæå³ãããªãããšããããšã¯ééã£ãŠãããã¢ã³ã¹ã¿ãŒã¯ãã | (Ex): ({AA}x & ¬{AB}x) -> {B}x | fact1: ä»®ã«åŒ±ãã¢ã³ã¹ã¿ãŒã¯çºæ®ãæããªããšãããšããã¯æå³ãã fact2: ç¯ãæãã¢ã³ã¹ã¿ãŒãæ±ããªãã°è奮ãæã fact3: ããã䌞ã°ãæãã¢ã³ã¹ã¿ãŒãä»æç¡ããšããããšã¯ãªããªãã°å¿ãã£ãœã fact4: ããåããããã¢ã³ã¹ã¿ãŒãæ±ãé£ããªããšãããšããã¯ã¶ã€ãåã | fact1: (x): ({AA}x & ¬{AB}x) -> {B}x fact2: (x): ({BA}x & {BB}x) -> {HL}x fact3: (x): ({DK}x & ¬{IH}x) -> {AQ}x fact4: (x): ({AU}x & ¬{GN}x) -> {BN}x | [
"fact1 -> int1: ããããã®ã·ãã·ã«ã
Lv.66ã匱ããããããããçºæ®ãæããšããããšã¯ãªããšãããšãã®ã·ãã·ã«ã
Lv.66ã¯æå³ãã; int1 -> hypothesis;"
] | [
"fact1 -> int1: ({AA}{aa} & ¬{AB}{aa}) -> {B}{aa}; int1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 3 | 0 | 3 | PROVED | null | PROVED | null | $facts$ = fact1: ä»®ã«åŒ±ãã¢ã³ã¹ã¿ãŒã¯çºæ®ãæããªããšãããšããã¯æå³ãã fact2: ç¯ãæãã¢ã³ã¹ã¿ãŒãæ±ããªãã°è奮ãæã fact3: ããã䌞ã°ãæãã¢ã³ã¹ã¿ãŒãä»æç¡ããšããããšã¯ãªããªãã°å¿ãã£ãœã fact4: ããåããããã¢ã³ã¹ã¿ãŒãæ±ãé£ããªããšãããšããã¯ã¶ã€ãåã ; $hypothesis$ = ããã匱ããå ããŠçºæ®ãæããªããšããããæå³ãããªãããšããããšã¯ééã£ãŠãããã¢ã³ã¹ã¿ãŒã¯ãã ; $proof$ = | fact1 -> int1: ããããã®ã·ãã·ã«ã
Lv.66ã匱ããããããããçºæ®ãæããšããããšã¯ãªããšãããšãã®ã·ãã·ã«ã
Lv.66ã¯æå³ãã; int1 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): ({AA}x & ¬{AB}x) -> {B}x fact2: (x): ({BA}x & {BB}x) -> {HL}x fact3: (x): ({DK}x & ¬{IH}x) -> {AQ}x fact4: (x): ({AU}x & ¬{GN}x) -> {BN}x ; $hypothesis$ = (Ex): ({AA}x & ¬{AB}x) -> {B}x ; $proof$ = | fact1 -> int1: ({AA}{aa} & ¬{AB}{aa}) -> {B}{aa}; int1 -> hypothesis; __PROVED__ |
0.3 | ãããã®ãœã®ãœã®Lv.74ã¯æãããšããããšã¯äºå®ã§ããããšããããšã¯æãç«ããªã | ¬{D}{a} | fact1: ä»®ã«ãã®ã·ã¡ãã·ãLv.42ãçãæããªãããŸãã¯å§ããããªãããããã¯ã©ã¡ããã ãšãããèªç¶ããããªã fact2: ããããªã«ãããã®ã¢ã³ã¹ã¿ãŒãæ¥èŠãããšãããããã¯æã fact3: ããä»®ã«ãã®ã·ã¡ãã·ãLv.42ãçãæããªããšããã°èªç¶ããããšããããšã¯ãªã fact4: ãã®ã·ã¡ãã·ãLv.42ã¯çãæãããããã¯ããã¯å§ããããªã fact5: ä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒãæ¥èŠããªããªãçãæããªããå§ããããªããäž¡æ¹ã§ãã fact6: ãã®ã·ã¡ãã·ãLv.42ãèªç¶ããããªããªããã®ãœã®ãœã®Lv.74ã¯èªç¶ãããããã©éçšåºæ¥ãªã fact7: ããä»®ã«ãã®ãœã®ãœã®Lv.74ãèªç¶ããããã©ãããéçšåºæ¥ãªããªãã°ãã®ãœã®ãœã®Lv.74ã¯æããªã fact8: ãã®ã·ã¡ãã·ãLv.42ã¯æ¥èŠãããšããããšã¯ãªã | fact1: (¬{AA}{aa} v ¬{AB}{aa}) -> ¬{B}{aa} fact2: (x): {A}x -> {D}x fact3: ¬{AA}{aa} -> ¬{B}{aa} fact4: ({AA}{aa} v ¬{AB}{aa}) fact5: (x): ¬{A}x -> (¬{AA}x v ¬{AB}x) fact6: ¬{B}{aa} -> ({B}{a} & ¬{C}{a}) fact7: ({B}{a} & ¬{C}{a}) -> ¬{D}{a} fact8: ¬{A}{aa} | [
"fact5 -> int1: ããããã®ã·ã¡ãã·ãLv.42ãæ¥èŠããªããšããã°ããã¯çãæããªãããŸãã¯å§ããããšããããšã¯ãªãããããã¯ã©ã¡ããã ; int1 & fact8 -> int2: ãã®ã·ã¡ãã·ãLv.42ã¯çãæããªãããŸãã¯ããã¯å§ããããªãããããã¯ã©ã¡ããã ; int2 & fact1 -> int3: ãã®ã·ã¡ãã·ãLv.42ã¯èªç¶ããããªã; int3 & fact6 -> int4: ãã®ãœã®ãœã®Lv.74ã¯èªç¶ãããããã©éçšåºæ¥ãªã; int4 & fact7 -> hypothesis;"
] | [
"fact5 -> int1: ¬{A}{aa} -> (¬{AA}{aa} v ¬{AB}{aa}); int1 & fact8 -> int2: (¬{AA}{aa} v ¬{AB}{aa}); int2 & fact1 -> int3: ¬{B}{aa}; int3 & fact6 -> int4: ({B}{a} & ¬{C}{a}); int4 & fact7 -> hypothesis;"
] | ãã®ãœã®ãœã®Lv.74ã¯æã | {D}{a} | [
"fact9 -> int5: ããããã®ãœã®ãœã®Lv.74ãæ¥èŠãããšããã°æã;"
] | 5 | 5 | 5 | 5 | 5 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ä»®ã«ãã®ã·ã¡ãã·ãLv.42ãçãæããªãããŸãã¯å§ããããªãããããã¯ã©ã¡ããã ãšãããèªç¶ããããªã fact2: ããããªã«ãããã®ã¢ã³ã¹ã¿ãŒãæ¥èŠãããšãããããã¯æã fact3: ããä»®ã«ãã®ã·ã¡ãã·ãLv.42ãçãæããªããšããã°èªç¶ããããšããããšã¯ãªã fact4: ãã®ã·ã¡ãã·ãLv.42ã¯çãæãããããã¯ããã¯å§ããããªã fact5: ä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒãæ¥èŠããªããªãçãæããªããå§ããããªããäž¡æ¹ã§ãã fact6: ãã®ã·ã¡ãã·ãLv.42ãèªç¶ããããªããªããã®ãœã®ãœã®Lv.74ã¯èªç¶ãããããã©éçšåºæ¥ãªã fact7: ããä»®ã«ãã®ãœã®ãœã®Lv.74ãèªç¶ããããã©ãããéçšåºæ¥ãªããªãã°ãã®ãœã®ãœã®Lv.74ã¯æããªã fact8: ãã®ã·ã¡ãã·ãLv.42ã¯æ¥èŠãããšããããšã¯ãªã ; $hypothesis$ = ãããã®ãœã®ãœã®Lv.74ã¯æãããšããããšã¯äºå®ã§ããããšããããšã¯æãç«ããªã ; $proof$ = | fact5 -> int1: ããããã®ã·ã¡ãã·ãLv.42ãæ¥èŠããªããšããã°ããã¯çãæããªãããŸãã¯å§ããããšããããšã¯ãªãããããã¯ã©ã¡ããã ; int1 & fact8 -> int2: ãã®ã·ã¡ãã·ãLv.42ã¯çãæããªãããŸãã¯ããã¯å§ããããªãããããã¯ã©ã¡ããã ; int2 & fact1 -> int3: ãã®ã·ã¡ãã·ãLv.42ã¯èªç¶ããããªã; int3 & fact6 -> int4: ãã®ãœã®ãœã®Lv.74ã¯èªç¶ãããããã©éçšåºæ¥ãªã; int4 & fact7 -> hypothesis; __PROVED__ | $facts$ = fact1: (¬{AA}{aa} v ¬{AB}{aa}) -> ¬{B}{aa} fact2: (x): {A}x -> {D}x fact3: ¬{AA}{aa} -> ¬{B}{aa} fact4: ({AA}{aa} v ¬{AB}{aa}) fact5: (x): ¬{A}x -> (¬{AA}x v ¬{AB}x) fact6: ¬{B}{aa} -> ({B}{a} & ¬{C}{a}) fact7: ({B}{a} & ¬{C}{a}) -> ¬{D}{a} fact8: ¬{A}{aa} ; $hypothesis$ = ¬{D}{a} ; $proof$ = | fact5 -> int1: ¬{A}{aa} -> (¬{AA}{aa} v ¬{AB}{aa}); int1 & fact8 -> int2: (¬{AA}{aa} v ¬{AB}{aa}); int2 & fact1 -> int3: ¬{B}{aa}; int3 & fact6 -> int4: ({B}{a} & ¬{C}{a}); int4 & fact7 -> hypothesis; __PROVED__ |
0.3 | ãã®ãŽããŽãLv.52ã¯ææ¡ãèŸã | {C}{a} | fact1: ãã®ãŽããŽãLv.52ã¯æ®Žã殺ããå¯èŠãã fact2: ãã®ãŽããŽãLv.52ã¯å€§äººã£ãœããŠããã«æ®Žã殺ã fact3: ããä»®ã«ãã®ãŽããŽãLv.52ãå¯èŠãããšãããšãã®ãŽããŽãLv.52ã¯ææ¡ãèŸã | fact1: ({A}{a} & {B}{a}) fact2: ({JH}{a} & {A}{a}) fact3: {B}{a} -> {C}{a} | [
"fact1 -> int1: ãã®ãŽããŽãLv.52ã¯å¯èŠãã; int1 & fact3 -> hypothesis;"
] | [
"fact1 -> int1: {B}{a}; int1 & fact3 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 1 | 0 | 1 | PROVED | null | PROVED | null | $facts$ = fact1: ãã®ãŽããŽãLv.52ã¯æ®Žã殺ããå¯èŠãã fact2: ãã®ãŽããŽãLv.52ã¯å€§äººã£ãœããŠããã«æ®Žã殺ã fact3: ããä»®ã«ãã®ãŽããŽãLv.52ãå¯èŠãããšãããšãã®ãŽããŽãLv.52ã¯ææ¡ãèŸã ; $hypothesis$ = ãã®ãŽããŽãLv.52ã¯ææ¡ãèŸã ; $proof$ = | fact1 -> int1: ãã®ãŽããŽãLv.52ã¯å¯èŠãã; int1 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: ({A}{a} & {B}{a}) fact2: ({JH}{a} & {A}{a}) fact3: {B}{a} -> {C}{a} ; $hypothesis$ = {C}{a} ; $proof$ = | fact1 -> int1: {B}{a}; int1 & fact3 -> hypothesis; __PROVED__ |
0.3 | ããã°ãªã³ããããšã¯è¡ãæããšããããšã¯çºçããªããšããããšãé»ãããšããããšã¯æãç«ããªã | ¬({A} -> {C}) | fact1: å ªãé£ããšããããšãçãããšããããšã¯ãè¡ãæããšããããšã¯çºçããªãããšããããšãé»ã fact2: ãå°æ°å³è¯ããšããããšã¯çºçããªããŠæ±ºãå
Œããããšã¯çºçããªãããšããããšã¯äºå®ã§ãªããšãããšè¡ãæããšããããšã¯çºçããªã fact3: ããããŸã¡ããŸãLv.71äºä»¶ã¯èµ·ããªããªããå°æ°å³è¯ããšããããšã¯èµ·ãããªããŠãã®äžæ±ºãå
Œããããšã¯èµ·ããªãããšããããšã¯ééã£ãŠãã fact4: ããœããœã¡ã
Lv.88äºä»¶ã¯çºçããªãããšããããšã¯ãå ªãé£ããšããããšã¯çºçããªãäžæ¹ã§ãã°ãªã³ããããšãçºçããããšããããšã«é²ããã fact5: ãŽãªãŽãªLv.39äºä»¶ã¯ããŸã¡ããŸãLv.71äºä»¶ã¯èµ·ãããªãããšããããšãæã fact6: å ªãé£ããšããããšã¯çããªããšããããšã¯ãã°ãªã³ããããšãèµ·ãããšããããšã«é²ããã | fact1: {B} -> {C} fact2: ¬(¬{D} & ¬{E}) -> ¬{C} fact3: ¬{F} -> ¬(¬{D} & ¬{E}) fact4: (¬{B} & {A}) -> {AU} fact5: {G} -> ¬{F} fact6: {A} -> {B} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã°ãªã³ããããšãèµ·ãã; fact6 & assump1 -> int1: å ªãé£ããšããããšãèµ·ãã; int1 & fact1 -> int2: è¡ãæããšããããšãçºçãã; [assump1] & int2 -> hypothesis;"
] | [
"void -> assump1: {A}; fact6 & assump1 -> int1: {B}; int1 & fact1 -> int2: {C}; [assump1] & int2 -> hypothesis;"
] | ãœããœã¡ã
Lv.88äºä»¶ãçãã | {AU} | [] | 9 | 4 | 3 | 4 | 3 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: å ªãé£ããšããããšãçãããšããããšã¯ãè¡ãæããšããããšã¯çºçããªãããšããããšãé»ã fact2: ãå°æ°å³è¯ããšããããšã¯çºçããªããŠæ±ºãå
Œããããšã¯çºçããªãããšããããšã¯äºå®ã§ãªããšãããšè¡ãæããšããããšã¯çºçããªã fact3: ããããŸã¡ããŸãLv.71äºä»¶ã¯èµ·ããªããªããå°æ°å³è¯ããšããããšã¯èµ·ãããªããŠãã®äžæ±ºãå
Œããããšã¯èµ·ããªãããšããããšã¯ééã£ãŠãã fact4: ããœããœã¡ã
Lv.88äºä»¶ã¯çºçããªãããšããããšã¯ãå ªãé£ããšããããšã¯çºçããªãäžæ¹ã§ãã°ãªã³ããããšãçºçããããšããããšã«é²ããã fact5: ãŽãªãŽãªLv.39äºä»¶ã¯ããŸã¡ããŸãLv.71äºä»¶ã¯èµ·ãããªãããšããããšãæã fact6: å ªãé£ããšããããšã¯çããªããšããããšã¯ãã°ãªã³ããããšãèµ·ãããšããããšã«é²ããã ; $hypothesis$ = ããã°ãªã³ããããšã¯è¡ãæããšããããšã¯çºçããªããšããããšãé»ãããšããããšã¯æãç«ããªã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããã°ãªã³ããããšãèµ·ãã; fact6 & assump1 -> int1: å ªãé£ããšããããšãèµ·ãã; int1 & fact1 -> int2: è¡ãæããšããããšãçºçãã; [assump1] & int2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {B} -> {C} fact2: ¬(¬{D} & ¬{E}) -> ¬{C} fact3: ¬{F} -> ¬(¬{D} & ¬{E}) fact4: (¬{B} & {A}) -> {AU} fact5: {G} -> ¬{F} fact6: {A} -> {B} ; $hypothesis$ = ¬({A} -> {C}) ; $proof$ = | void -> assump1: {A}; fact6 & assump1 -> int1: {B}; int1 & fact1 -> int2: {C}; [assump1] & int2 -> hypothesis; __DISPROVED__ |
0.3 | éãæ
£ããããšãã·ã¡ãã·ãLv.23äºä»¶ãçãã | ({C} v {D}) | fact1: æã
ãããšããããšã¯éãæ
£ããããšã¯çããªããšããããšãåé¿ãã fact2: ãããã®Lv.2äºä»¶ãçããããããªããšããããšãçºçãã fact3: åŒãåºãæããšããããšãçºçãã fact4: ãæã
ãããšããããšãçºçããããšããããšã¯ããããã®Lv.2äºä»¶ãçºçããããšããããšã«åŒãèµ·ãããã fact5: ããŸããŸã¡ãLv.99äºä»¶ããã³åããé£ããšããããšãçããããšããããšã¯æãç«ã€ | fact1: {B} -> {C} fact2: ({A} & {E}) fact3: {EG} fact4: {A} -> {B} fact5: ({FH} & {DF}) | [
"fact2 -> int1: ãããã®Lv.2äºä»¶ãèµ·ãã; fact4 & int1 -> int2: æã
ãããšããããšãèµ·ãã; int2 & fact1 -> int3: éãæ
£ããããšãçãã; int3 -> hypothesis;"
] | [
"fact2 -> int1: {A}; fact4 & int1 -> int2: {B}; int2 & fact1 -> int3: {C}; int3 -> hypothesis;"
] | null | null | [] | null | 4 | 4 | 4 | 4 | 2 | 0 | 2 | PROVED | null | PROVED | null | $facts$ = fact1: æã
ãããšããããšã¯éãæ
£ããããšã¯çããªããšããããšãåé¿ãã fact2: ãããã®Lv.2äºä»¶ãçããããããªããšããããšãçºçãã fact3: åŒãåºãæããšããããšãçºçãã fact4: ãæã
ãããšããããšãçºçããããšããããšã¯ããããã®Lv.2äºä»¶ãçºçããããšããããšã«åŒãèµ·ãããã fact5: ããŸããŸã¡ãLv.99äºä»¶ããã³åããé£ããšããããšãçããããšããããšã¯æãç«ã€ ; $hypothesis$ = éãæ
£ããããšãã·ã¡ãã·ãLv.23äºä»¶ãçãã ; $proof$ = | fact2 -> int1: ãããã®Lv.2äºä»¶ãèµ·ãã; fact4 & int1 -> int2: æã
ãããšããããšãèµ·ãã; int2 & fact1 -> int3: éãæ
£ããããšãçãã; int3 -> hypothesis; __PROVED__ | $facts$ = fact1: {B} -> {C} fact2: ({A} & {E}) fact3: {EG} fact4: {A} -> {B} fact5: ({FH} & {DF}) ; $hypothesis$ = ({C} v {D}) ; $proof$ = | fact2 -> int1: {A}; fact4 & int1 -> int2: {B}; int2 & fact1 -> int3: {C}; int3 -> hypothesis; __PROVED__ |
0.3 | ããã®ãŽãªãŽã«ã
Lv.3ã¯é€å»åºæ¥ãªãããšããããšã¯çå®ã | ¬{A}{a} | fact1: ããä»®ã«ããå¿æ·±ããªããŠè³¢ãããšããããšã¯èª€ã£ãŠãããã¢ã³ã¹ã¿ãŒããããšãããšãã®ãŽããŽã«ãLv.98ã¯çºçãæããªã fact2: ãä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒã¯åãããªãããããã¯äŒãé£ããªãããããã¯äž¡æ¹ãšãã§ãããšããã°äŒãé£ããªãããšããããšã¯æ¬åœã fact3: ãã®ãŽãªãŽã«ã
Lv.3ã¯åãããªããããã¯äŒãé£ããªãããããã¯ã©ã¡ããã§ãã fact4: ããä»®ã«ãã®ãŽãªãŽã«ã
Lv.3ãé€å»åºæ¥ããæŽã«ãããéãé£ããšãããšãã®ãŽã«ãŽãLv.27ã¯äŒãé£ããªã fact5: ãªãããªãã¢ã³ã¹ã¿ãŒã¯éãé£ããäŒãé£ã fact6: ããã®ã·ã¡ãã·ã¡ãLv.20ã¯å¿æ·±ããšããããšã¯ãªãããããè³¢ãããšããããšã¯èª€ã£ãŠãã fact7: ãã®ãŽã«ãŽãLv.27ã¯äŒãé£ã | fact1: (x): ¬(¬{G}x & {H}x) -> ¬{F}{c} fact2: (x): (¬{E}x v ¬{C}x) -> ¬{C}x fact3: (¬{E}{a} v ¬{C}{a}) fact4: ({A}{a} & {B}{a}) -> ¬{C}{b} fact5: (x): ¬{D}x -> ({B}x v {C}x) fact6: ¬(¬{G}{d} & {H}{d}) fact7: {C}{b} | [] | [] | 以äžã®ããã«ä»®å®ããããã®ãŽãªãŽã«ã
Lv.3ã¯é€å»åºæ¥ã | {A}{a} | [
"fact8 -> int1: ãã®ãŽã«ãŽãLv.27ã¯ãªãããªããšããã°éãé£ãããããã¯ããã¯äŒãé£ãããŸãã¯ã©ã¡ããã ; fact9 -> int2: ãããå¿æ·±ããšããããšã¯ãªããŠããã«è³¢ãããšããããšã¯äºå®ã ããšããããšã¯æãç«ããªããã¢ã³ã¹ã¿ãŒã¯ãã; int2 & fact10 -> int3: ãã®ãŽããŽã«ãLv.98ã¯çºçãæããªã; int3 -> int4: ãçºçãæããªããã¢ã³ã¹ã¿ãŒã¯ãã;"
] | 7 | 5 | 4 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããä»®ã«ããå¿æ·±ããªããŠè³¢ãããšããããšã¯èª€ã£ãŠãããã¢ã³ã¹ã¿ãŒããããšãããšãã®ãŽããŽã«ãLv.98ã¯çºçãæããªã fact2: ãä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒã¯åãããªãããããã¯äŒãé£ããªãããããã¯äž¡æ¹ãšãã§ãããšããã°äŒãé£ããªãããšããããšã¯æ¬åœã fact3: ãã®ãŽãªãŽã«ã
Lv.3ã¯åãããªããããã¯äŒãé£ããªãããããã¯ã©ã¡ããã§ãã fact4: ããä»®ã«ãã®ãŽãªãŽã«ã
Lv.3ãé€å»åºæ¥ããæŽã«ãããéãé£ããšãããšãã®ãŽã«ãŽãLv.27ã¯äŒãé£ããªã fact5: ãªãããªãã¢ã³ã¹ã¿ãŒã¯éãé£ããäŒãé£ã fact6: ããã®ã·ã¡ãã·ã¡ãLv.20ã¯å¿æ·±ããšããããšã¯ãªãããããè³¢ãããšããããšã¯èª€ã£ãŠãã fact7: ãã®ãŽã«ãŽãLv.27ã¯äŒãé£ã ; $hypothesis$ = ããã®ãŽãªãŽã«ã
Lv.3ã¯é€å»åºæ¥ãªãããšããããšã¯çå®ã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ¬(¬{G}x & {H}x) -> ¬{F}{c} fact2: (x): (¬{E}x v ¬{C}x) -> ¬{C}x fact3: (¬{E}{a} v ¬{C}{a}) fact4: ({A}{a} & {B}{a}) -> ¬{C}{b} fact5: (x): ¬{D}x -> ({B}x v {C}x) fact6: ¬(¬{G}{d} & {H}{d}) fact7: {C}{b} ; $hypothesis$ = ¬{A}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | 以äžã®ããã«ä»®å®ãããç©æããšããããšãèµ·ãã | {B} | fact1: ããŽããŽãLv.15äºä»¶ããã³ãŽããŽãLv.82äºä»¶ãèµ·ããããšããããšã¯ã·ãã·ã¡ã
Lv.12äºä»¶ãåé¿ãã fact2: ããä»®ã«æžãé£ããšããããšãçºçããã°ãææ°ãããšãèµ·ããã匟ãæããšããããšã¯èµ·ãããªãããšããããšã¯åœã fact3: å ãé£ããšããããšã¯çããªããšããããšã¯ãŽããŽãLv.62äºä»¶ããããã¯ç«ã¡äžããæããããšãã©ã¡ãããèªçºãã fact4: ããããªLv.43äºä»¶ãèµ·ãã fact5: ããä»®ã«ãææ°ãããšãçºçãããããã匟ãæããšããããšã¯çããªãããšããããšã¯æãç«ããªããšãããšææ°ãããšã¯çããªã fact6: ãã«ã
ããLv.2äºä»¶ãèµ·ãã fact7: ãææ°ãããšã¯çããªãããšããããšã¯ããã«ã
ããLv.2äºä»¶ãèµ·ããããããã¯ããããªLv.43äºä»¶ãçãããã©ã¡ããã ããšããããšãåŒãèµ·ãã fact8: ããããªLv.43äºä»¶ãšç©æããšããããšãçºçããã¯ããã«ã
ããLv.2äºä»¶ã¯èµ·ãããªãããšããããšããããã | fact1: ({HI} & {EK}) -> ¬{AH} fact2: {F} -> ¬({D} & ¬{E}) fact3: ¬{I} -> ({H} v {G}) fact4: {A} fact5: ¬({D} & ¬{E}) -> ¬{D} fact6: {C} fact7: ¬{D} -> ({C} v {A}) fact8: ({A} & {B}) -> ¬{C} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããç©æããšããããšãèµ·ãã; fact4 & assump1 -> int1: ããããªLv.43äºä»¶ããã³ç©æããšããããšãèµ·ãã; int1 & fact8 -> int2: ãã«ã
ããLv.2äºä»¶ã¯çºçããªã; int2 & fact6 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: {B}; fact4 & assump1 -> int1: ({A} & {B}); int1 & fact8 -> int2: ¬{C}; int2 & fact6 -> int3: #F#; [assump1] & int3 -> hypothesis;"
] | 以äžã®ããã«ä»®å®ãããç©æããšããããšãèµ·ãã | {B} | [] | 9 | 5 | 4 | 5 | 4 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããŽããŽãLv.15äºä»¶ããã³ãŽããŽãLv.82äºä»¶ãèµ·ããããšããããšã¯ã·ãã·ã¡ã
Lv.12äºä»¶ãåé¿ãã fact2: ããä»®ã«æžãé£ããšããããšãçºçããã°ãææ°ãããšãèµ·ããã匟ãæããšããããšã¯èµ·ãããªãããšããããšã¯åœã fact3: å ãé£ããšããããšã¯çããªããšããããšã¯ãŽããŽãLv.62äºä»¶ããããã¯ç«ã¡äžããæããããšãã©ã¡ãããèªçºãã fact4: ããããªLv.43äºä»¶ãèµ·ãã fact5: ããä»®ã«ãææ°ãããšãçºçãããããã匟ãæããšããããšã¯çããªãããšããããšã¯æãç«ããªããšãããšææ°ãããšã¯çããªã fact6: ãã«ã
ããLv.2äºä»¶ãèµ·ãã fact7: ãææ°ãããšã¯çããªãããšããããšã¯ããã«ã
ããLv.2äºä»¶ãèµ·ããããããã¯ããããªLv.43äºä»¶ãçãããã©ã¡ããã ããšããããšãåŒãèµ·ãã fact8: ããããªLv.43äºä»¶ãšç©æããšããããšãçºçããã¯ããã«ã
ããLv.2äºä»¶ã¯èµ·ãããªãããšããããšããããã ; $hypothesis$ = 以äžã®ããã«ä»®å®ãããç©æããšããããšãèµ·ãã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ãããç©æããšããããšãèµ·ãã; fact4 & assump1 -> int1: ããããªLv.43äºä»¶ããã³ç©æããšããããšãèµ·ãã; int1 & fact8 -> int2: ãã«ã
ããLv.2äºä»¶ã¯çºçããªã; int2 & fact6 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({HI} & {EK}) -> ¬{AH} fact2: {F} -> ¬({D} & ¬{E}) fact3: ¬{I} -> ({H} v {G}) fact4: {A} fact5: ¬({D} & ¬{E}) -> ¬{D} fact6: {C} fact7: ¬{D} -> ({C} v {A}) fact8: ({A} & {B}) -> ¬{C} ; $hypothesis$ = {B} ; $proof$ = | void -> assump1: {B}; fact4 & assump1 -> int1: ({A} & {B}); int1 & fact8 -> int2: ¬{C}; int2 & fact6 -> int3: #F#; [assump1] & int3 -> hypothesis; __DISPROVED__ |
0.3 | 銎æã¿é£ããšããããšãçºçãã | {C} | fact1: ããŸã¡ããŸã¡ã
Lv.48äºä»¶ããã³æããããšããããšãçºçããããšããããšã¯ã銎æã¿é£ããšããããšã¯çããªãããšããããšã®ãã£ãããšãªã fact2: åãåºãããšã¯èµ·ãããªã fact3: ä»®ã«ãŽããŽãLv.58äºä»¶ã¯èµ·ãããªããªããã·ã«ãã·ãLv.77äºä»¶ãèµ·ãããããã«é転ããããšãçããããšããããšã¯äºå®ãšç°ãªã fact4: æããããšããããšãèµ·ãã fact5: æããããšããããšã¯èµ·ããªããšããããšã¯éŠŽæã¿é£ããšããããšãšãŸã¡ããŸã¡ã
Lv.48äºä»¶ãèµ·ãããèªçºãã fact6: ä»®ã«ãã·ã«ãã·ãLv.77äºä»¶ãšé転ããããšãèµ·ããããšããããšã¯æãç«ã€ãšããããšã¯ãªããšããã°æããããšããããšã¯èµ·ãããªã | fact1: ({A} & {B}) -> ¬{C} fact2: ¬{HS} fact3: ¬{F} -> ¬({D} & {E}) fact4: {B} fact5: ¬{B} -> ({C} & {A}) fact6: ¬({D} & {E}) -> ¬{B} | [] | [] | 銎æã¿é£ããšããããšãçºçãã | {C} | [] | 8 | 2 | 2 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããŸã¡ããŸã¡ã
Lv.48äºä»¶ããã³æããããšããããšãçºçããããšããããšã¯ã銎æã¿é£ããšããããšã¯çããªãããšããããšã®ãã£ãããšãªã fact2: åãåºãããšã¯èµ·ãããªã fact3: ä»®ã«ãŽããŽãLv.58äºä»¶ã¯èµ·ãããªããªããã·ã«ãã·ãLv.77äºä»¶ãèµ·ãããããã«é転ããããšãçããããšããããšã¯äºå®ãšç°ãªã fact4: æããããšããããšãèµ·ãã fact5: æããããšããããšã¯èµ·ããªããšããããšã¯éŠŽæã¿é£ããšããããšãšãŸã¡ããŸã¡ã
Lv.48äºä»¶ãèµ·ãããèªçºãã fact6: ä»®ã«ãã·ã«ãã·ãLv.77äºä»¶ãšé転ããããšãèµ·ããããšããããšã¯æãç«ã€ãšããããšã¯ãªããšããã°æããããšããããšã¯èµ·ãããªã ; $hypothesis$ = 銎æã¿é£ããšããããšãçºçãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({A} & {B}) -> ¬{C} fact2: ¬{HS} fact3: ¬{F} -> ¬({D} & {E}) fact4: {B} fact5: ¬{B} -> ({C} & {A}) fact6: ¬({D} & {E}) -> ¬{B} ; $hypothesis$ = {C} ; $proof$ = | __UNKNOWN__ |
0.3 | ãããã¡ãLv.62äºä»¶ãçºçãã | {AA} | fact1: ã·ã«ãã·ãLv.73äºä»¶ã¯çºçãããã¿ãªã¿ãLv.87äºä»¶ã¯çããªã fact2: ããä»®ã«ããããã¡ãLv.62äºä»¶ã¯çºçããããŽã«ããŽãLv.48äºä»¶ã¯çºçããªãããšããããšã¯ééã£ãŠãããšããã°å€©äœ¿ããããšããããšã¯çããªã fact3: ãè¿éãããšãèµ·ãããåã¹ã¿ãŒãããããšã¯çºçããªãããšããããšã¯æãç«ããªã | fact1: ({DJ} & ¬{IC}) fact2: ¬({AA} & ¬{AB}) -> ¬{B} fact3: ¬({FE} & ¬{IT}) | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããããããã¡ãLv.62äºä»¶ãçããäžæ¹ã§ãŽã«ããŽãLv.48äºä»¶ã¯èµ·ããªãããšããããšã¯äºå®ã§ãªã; fact2 & assump1 -> int1: 倩䜿ããããšããããšã¯èµ·ããªã;"
] | [
"void -> assump1: ¬({AA} & ¬{AB}); fact2 & assump1 -> int1: ¬{B};"
] | null | null | [] | null | 5 | 4 | null | null | 2 | 0 | 2 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ã·ã«ãã·ãLv.73äºä»¶ã¯çºçãããã¿ãªã¿ãLv.87äºä»¶ã¯çããªã fact2: ããä»®ã«ããããã¡ãLv.62äºä»¶ã¯çºçããããŽã«ããŽãLv.48äºä»¶ã¯çºçããªãããšããããšã¯ééã£ãŠãããšããã°å€©äœ¿ããããšããããšã¯çããªã fact3: ãè¿éãããšãèµ·ãããåã¹ã¿ãŒãããããšã¯çºçããªãããšããããšã¯æãç«ããªã ; $hypothesis$ = ãããã¡ãLv.62äºä»¶ãçºçãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({DJ} & ¬{IC}) fact2: ¬({AA} & ¬{AB}) -> ¬{B} fact3: ¬({FE} & ¬{IT}) ; $hypothesis$ = {AA} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã¿ãã¿ãLv.53ã¯èš±ãé£ã | {E}{c} | fact1: ãã®ãŽã¡ããŽã¡ãLv.55ã¯éããããŸãã¯æ©ãé£ããšãããèŠä»ãæããªã fact2: ããããã®ãŽã¡ããŽã¡ãLv.55ã¯èŠä»ãæããªããšããã°ãããã®ãŽã«ãŽãLv.93ã¯äžãé£ããªããã©ããã¯èŠä»ãæãããšããããšã¯æãç«ããªãããšããããšã¯äºå®ã§ãã fact3: ä»®ã«ãã®ãŽã¡ããŽã¡ãLv.55ã¯æ©ãé£ããšããã°ããã®ãŽã¡ããŽã¡ãLv.55ã¯èš±ãé£ããªããããã¯éããããŸãã¯ã©ã¡ããã§ããããšããããšã¯èª€ãã fact4: ããããã®ãŽã¡ããŽã¡ãLv.55ã埩垰ãããªãããã¯éãã fact5: ãããããèš±ãé£ããªãããŸãã¯éãããäž¡æ¹ã ããšããããšã¯æãç«ããªããã¢ã³ã¹ã¿ãŒããããšããããã®ã¿ãã¿ãLv.53ã¯éããªã fact6: ããä»®ã«ããã®ãŽã«ãŽãLv.93ã¯äžãé£ããªããèŠä»ãæãããšããããšã¯èª€ã£ãŠãããªããã®ã¿ãã¿ãLv.53ã¯èš±ãé£ããªã fact7: ãã®ãŽã¡ããŽã¡ãLv.55ã¯åŸ©åž°ãã | fact1: ({B}{a} v {C}{a}) -> ¬{D}{a} fact2: ¬{D}{a} -> ¬(¬{F}{b} & {D}{b}) fact3: {C}{a} -> ¬(¬{E}{a} v {B}{a}) fact4: {A}{a} -> {B}{a} fact5: (x): ¬(¬{E}x v {B}x) -> ¬{B}{c} fact6: ¬(¬{F}{b} & {D}{b}) -> ¬{E}{c} fact7: {A}{a} | [
"fact4 & fact7 -> int1: ãã®ãŽã¡ããŽã¡ãLv.55ã¯éãã; int1 -> int2: ãã®ãŽã¡ããŽã¡ãLv.55ã¯éããããŸãã¯æ©ãé£ãããããã¯ã©ã¡ããã ; int2 & fact1 -> int3: ããã®ãŽã¡ããŽã¡ãLv.55ã¯èŠä»ãæããªãããšããããšã¯æ¬åœã§ãã; int3 & fact2 -> int4: ããã®ãŽã«ãŽãLv.93ã¯äžãé£ããªããèŠä»ãæãããšããããšã¯ééãã§ãã; int4 & fact6 -> hypothesis;"
] | [
"fact4 & fact7 -> int1: {B}{a}; int1 -> int2: ({B}{a} v {C}{a}); int2 & fact1 -> int3: ¬{D}{a}; int3 & fact2 -> int4: ¬(¬{F}{b} & {D}{b}); int4 & fact6 -> hypothesis;"
] | ãã®ã¿ãã¿ãLv.53ã¯èŠä»ãæãããããã¯ææ©ã | ({D}{c} v {JI}{c}) | [] | 6 | 5 | 5 | 5 | 5 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ãŽã¡ããŽã¡ãLv.55ã¯éããããŸãã¯æ©ãé£ããšãããèŠä»ãæããªã fact2: ããããã®ãŽã¡ããŽã¡ãLv.55ã¯èŠä»ãæããªããšããã°ãããã®ãŽã«ãŽãLv.93ã¯äžãé£ããªããã©ããã¯èŠä»ãæãããšããããšã¯æãç«ããªãããšããããšã¯äºå®ã§ãã fact3: ä»®ã«ãã®ãŽã¡ããŽã¡ãLv.55ã¯æ©ãé£ããšããã°ããã®ãŽã¡ããŽã¡ãLv.55ã¯èš±ãé£ããªããããã¯éããããŸãã¯ã©ã¡ããã§ããããšããããšã¯èª€ãã fact4: ããããã®ãŽã¡ããŽã¡ãLv.55ã埩垰ãããªãããã¯éãã fact5: ãããããèš±ãé£ããªãããŸãã¯éãããäž¡æ¹ã ããšããããšã¯æãç«ããªããã¢ã³ã¹ã¿ãŒããããšããããã®ã¿ãã¿ãLv.53ã¯éããªã fact6: ããä»®ã«ããã®ãŽã«ãŽãLv.93ã¯äžãé£ããªããèŠä»ãæãããšããããšã¯èª€ã£ãŠãããªããã®ã¿ãã¿ãLv.53ã¯èš±ãé£ããªã fact7: ãã®ãŽã¡ããŽã¡ãLv.55ã¯åŸ©åž°ãã ; $hypothesis$ = ãã®ã¿ãã¿ãLv.53ã¯èš±ãé£ã ; $proof$ = | fact4 & fact7 -> int1: ãã®ãŽã¡ããŽã¡ãLv.55ã¯éãã; int1 -> int2: ãã®ãŽã¡ããŽã¡ãLv.55ã¯éããããŸãã¯æ©ãé£ãããããã¯ã©ã¡ããã ; int2 & fact1 -> int3: ããã®ãŽã¡ããŽã¡ãLv.55ã¯èŠä»ãæããªãããšããããšã¯æ¬åœã§ãã; int3 & fact2 -> int4: ããã®ãŽã«ãŽãLv.93ã¯äžãé£ããªããèŠä»ãæãããšããããšã¯ééãã§ãã; int4 & fact6 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({B}{a} v {C}{a}) -> ¬{D}{a} fact2: ¬{D}{a} -> ¬(¬{F}{b} & {D}{b}) fact3: {C}{a} -> ¬(¬{E}{a} v {B}{a}) fact4: {A}{a} -> {B}{a} fact5: (x): ¬(¬{E}x v {B}x) -> ¬{B}{c} fact6: ¬(¬{F}{b} & {D}{b}) -> ¬{E}{c} fact7: {A}{a} ; $hypothesis$ = {E}{c} ; $proof$ = | fact4 & fact7 -> int1: {B}{a}; int1 -> int2: ({B}{a} v {C}{a}); int2 & fact1 -> int3: ¬{D}{a}; int3 & fact2 -> int4: ¬(¬{F}{b} & {D}{b}); int4 & fact6 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ã·ã®ã·ã¡ãLv.49ã¯ç»é ããªã | ¬{C}{a} | fact1: ãã®ãœããœã®Lv.65ã¯è¿ãããã©åãçµã¿æããªã fact2: ãããããã®ã¿ãã¿ãLv.28ãæãæããšãããšãã®ã·ã®ã·ã¡ãLv.49ã¯æãæãããšããããšã¯äºå®ã fact3: ããããã¢ã³ã¹ã¿ãŒã¯åãçµã¿æããªã fact4: ãªãããã®ã¢ã³ã¹ã¿ãŒãå¿çŽ°ããšãããæãæã fact5: ãã®ã·ã®ã·ã¡ãLv.49ã¯å¿çŽ°ããªã | fact1: ({JF}{jj} & ¬{B}{jj}) fact2: {BB}{b} -> {BB}{a} fact3: (x): ¬{B}x fact4: (x): {A}x -> {BB}x fact5: ¬{A}{a} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ã·ã®ã·ã¡ãLv.49ã¯å¿çŽ°ãããããåãçµã¿æããªã; assump1 -> int1: ãã®ã·ã®ã·ã¡ãLv.49ã¯å¿çŽ°ã; int1 & fact5 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ããã®ã·ã®ã·ã¡ãLv.49ã¯å¿çŽ°ãããã©åãçµã¿æããªãããšããããšã¯äºå®ãšç°ãªã;"
] | [
"void -> assump1: ({A}{a} & ¬{B}{a}); assump1 -> int1: {A}{a}; int1 & fact5 -> int2: #F#; [assump1] & int2 -> int3: ¬({A}{a} & ¬{B}{a});"
] | ãã®ã·ã®ã·ã¡ãLv.49ã¯æãæã | {BB}{a} | [
"fact7 -> int4: ããããã®ã¿ãã¿ãLv.28ãå¿çŽ°ããšãããšæãæã;"
] | 6 | 5 | 3 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãã®ãœããœã®Lv.65ã¯è¿ãããã©åãçµã¿æããªã fact2: ãããããã®ã¿ãã¿ãLv.28ãæãæããšãããšãã®ã·ã®ã·ã¡ãLv.49ã¯æãæãããšããããšã¯äºå®ã fact3: ããããã¢ã³ã¹ã¿ãŒã¯åãçµã¿æããªã fact4: ãªãããã®ã¢ã³ã¹ã¿ãŒãå¿çŽ°ããšãããæãæã fact5: ãã®ã·ã®ã·ã¡ãLv.49ã¯å¿çŽ°ããªã ; $hypothesis$ = ãã®ã·ã®ã·ã¡ãLv.49ã¯ç»é ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({JF}{jj} & ¬{B}{jj}) fact2: {BB}{b} -> {BB}{a} fact3: (x): ¬{B}x fact4: (x): {A}x -> {BB}x fact5: ¬{A}{a} ; $hypothesis$ = ¬{C}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ã·ã¡ãã·ã¡ãLv.81äºä»¶ã¯çºçããªã | ¬{D} | fact1: æã£ãããšããããšã¯çºçããªããšããããšã¯ãããããšããããšã«é²ããã fact2: ãŽããŽã¡ãLv.83äºä»¶ãçãããšããããšã¯æèšããããšãèµ·ãããšããããšã«ãããããã fact3: ã·ã¡ãã·ã¡ãLv.81äºä»¶ã¯ãŽããŽã¡ãLv.83äºä»¶ã«ç±æ¥ãã fact4: ãæèšããããšããŸãã¯ã¿ã®ã¿ã¡ã
Lv.13äºä»¶ãèµ·ããããšããããšã¯æãç«ã€ fact5: ã¿ã®ã¿ã¡ã
Lv.13äºä»¶ã¯ããŽããŽã¡ãLv.83äºä»¶ã¯çºçããªãããšããããšãåé¿ãã | fact1: {FP} -> {EH} fact2: {A} -> {C} fact3: {C} -> {D} fact4: ({A} v {B}) fact5: {B} -> {C} | [
"fact4 & fact2 & fact5 -> int1: ãŽããŽã¡ãLv.83äºä»¶ãçãã; int1 & fact3 -> hypothesis;"
] | [
"fact4 & fact2 & fact5 -> int1: {C}; int1 & fact3 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 1 | 0 | 1 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: æã£ãããšããããšã¯çºçããªããšããããšã¯ãããããšããããšã«é²ããã fact2: ãŽããŽã¡ãLv.83äºä»¶ãçãããšããããšã¯æèšããããšãèµ·ãããšããããšã«ãããããã fact3: ã·ã¡ãã·ã¡ãLv.81äºä»¶ã¯ãŽããŽã¡ãLv.83äºä»¶ã«ç±æ¥ãã fact4: ãæèšããããšããŸãã¯ã¿ã®ã¿ã¡ã
Lv.13äºä»¶ãèµ·ããããšããããšã¯æãç«ã€ fact5: ã¿ã®ã¿ã¡ã
Lv.13äºä»¶ã¯ããŽããŽã¡ãLv.83äºä»¶ã¯çºçããªãããšããããšãåé¿ãã ; $hypothesis$ = ã·ã¡ãã·ã¡ãLv.81äºä»¶ã¯çºçããªã ; $proof$ = | fact4 & fact2 & fact5 -> int1: ãŽããŽã¡ãLv.83äºä»¶ãçãã; int1 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {FP} -> {EH} fact2: {A} -> {C} fact3: {C} -> {D} fact4: ({A} v {B}) fact5: {B} -> {C} ; $hypothesis$ = ¬{D} ; $proof$ = | fact4 & fact2 & fact5 -> int1: {C}; int1 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ã·ã«ãã·ã¡ãLv.83ã¯å£æããã¢ã³ã¹ã¿ãŒã§ãã®äžå«ãããããšããããšã¯åã | ¬({E}{b} & {D}{b}) | fact1: ããä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯çé
žã£ã±ããªããšããã°ããããå£æããããã®äžããã¯å«ãããããšããããšã¯ééãã fact2: ãã®ã·ã«ãã·ã¡ãLv.83ã¯å£æãã fact3: ä»®ã«ãã®ã·ã«ãã·ã®Lv.4ãå£æãããŠå«ããããšããã°ãç©ããããªãããšããããšã¯æ¬åœã fact4: ãã®ã·ã«ãã·ã¡ãLv.83ãç¡çç¡ããšãããããã¯å«ããã fact5: ãã®ã¿ã¡ã
ã¿ãLv.77ã¯çé
žã£ã±ã fact6: ãç©ãããããããã¯å«ãããããŸãã¯äž¡æ¹ãªãã¢ã³ã¹ã¿ãŒã¯ãã fact7: ãããçé
žã£ã±ãããŸãã¯ç©ãããããŸãã¯ã©ã¡ããã§ããã¢ã³ã¹ã¿ãŒããããšããã°ãã®ã·ã«ãã·ã¡ãLv.83ã¯ç¡çç¡ã fact8: ããããç©ããããã¢ã³ã¹ã¿ãŒãããã°ãã®ã·ã«ãã·ã¡ãLv.83ã¯ç¡çç¡ã fact9: ä»®ã«ããã®ã¿ã¡ã
ã¿ãLv.77ã¯çé
žã£ã±ããã©ç©ããããªãããšããããšã¯æãç«ããªããªãã°ãã®ã·ã«ãã·ã¡ãLv.83ã¯çé
žã£ã±ããªã | fact1: (x): ¬{A}x -> ¬({E}x & {D}x) fact2: {E}{b} fact3: ({E}{dj} & {D}{dj}) -> ¬{B}{dj} fact4: {C}{b} -> {D}{b} fact5: {A}{a} fact6: (Ex): ({B}x v {D}x) fact7: (x): ({A}x v {B}x) -> {C}{b} fact8: (x): {B}x -> {C}{b} fact9: ¬({A}{a} & ¬{B}{a}) -> ¬{A}{b} | [
"fact5 -> int1: ãã®ã¿ã¡ã
ã¿ãLv.77ã¯çé
žã£ã±ãããŸãã¯ããã¯ç©ãããããŸãã¯äž¡æ¹ã§ãã; int1 -> int2: ãçé
žã£ã±ããç©ããããã¢ã³ã¹ã¿ãŒã¯ãã; int2 & fact7 -> int3: ãã®ã·ã«ãã·ã¡ãLv.83ã¯ç¡çç¡ã; int3 & fact4 -> int4: ãã®ã·ã«ãã·ã¡ãLv.83ã¯å«ããã; int4 & fact2 -> hypothesis;"
] | [
"fact5 -> int1: ({A}{a} v {B}{a}); int1 -> int2: (Ex): ({A}x v {B}x); int2 & fact7 -> int3: {C}{b}; int3 & fact4 -> int4: {D}{b}; int4 & fact2 -> hypothesis;"
] | ãã®ã·ã«ãã·ã®Lv.4ã¯ç¡çç¡ã | {C}{dj} | [] | 5 | 5 | 5 | 5 | 5 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯çé
žã£ã±ããªããšããã°ããããå£æããããã®äžããã¯å«ãããããšããããšã¯ééãã fact2: ãã®ã·ã«ãã·ã¡ãLv.83ã¯å£æãã fact3: ä»®ã«ãã®ã·ã«ãã·ã®Lv.4ãå£æãããŠå«ããããšããã°ãç©ããããªãããšããããšã¯æ¬åœã fact4: ãã®ã·ã«ãã·ã¡ãLv.83ãç¡çç¡ããšãããããã¯å«ããã fact5: ãã®ã¿ã¡ã
ã¿ãLv.77ã¯çé
žã£ã±ã fact6: ãç©ãããããããã¯å«ãããããŸãã¯äž¡æ¹ãªãã¢ã³ã¹ã¿ãŒã¯ãã fact7: ãããçé
žã£ã±ãããŸãã¯ç©ãããããŸãã¯ã©ã¡ããã§ããã¢ã³ã¹ã¿ãŒããããšããã°ãã®ã·ã«ãã·ã¡ãLv.83ã¯ç¡çç¡ã fact8: ããããç©ããããã¢ã³ã¹ã¿ãŒãããã°ãã®ã·ã«ãã·ã¡ãLv.83ã¯ç¡çç¡ã fact9: ä»®ã«ããã®ã¿ã¡ã
ã¿ãLv.77ã¯çé
žã£ã±ããã©ç©ããããªãããšããããšã¯æãç«ããªããªãã°ãã®ã·ã«ãã·ã¡ãLv.83ã¯çé
žã£ã±ããªã ; $hypothesis$ = ããã®ã·ã«ãã·ã¡ãLv.83ã¯å£æããã¢ã³ã¹ã¿ãŒã§ãã®äžå«ãããããšããããšã¯åã ; $proof$ = | fact5 -> int1: ãã®ã¿ã¡ã
ã¿ãLv.77ã¯çé
žã£ã±ãããŸãã¯ããã¯ç©ãããããŸãã¯äž¡æ¹ã§ãã; int1 -> int2: ãçé
žã£ã±ããç©ããããã¢ã³ã¹ã¿ãŒã¯ãã; int2 & fact7 -> int3: ãã®ã·ã«ãã·ã¡ãLv.83ã¯ç¡çç¡ã; int3 & fact4 -> int4: ãã®ã·ã«ãã·ã¡ãLv.83ã¯å«ããã; int4 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ¬{A}x -> ¬({E}x & {D}x) fact2: {E}{b} fact3: ({E}{dj} & {D}{dj}) -> ¬{B}{dj} fact4: {C}{b} -> {D}{b} fact5: {A}{a} fact6: (Ex): ({B}x v {D}x) fact7: (x): ({A}x v {B}x) -> {C}{b} fact8: (x): {B}x -> {C}{b} fact9: ¬({A}{a} & ¬{B}{a}) -> ¬{A}{b} ; $hypothesis$ = ¬({E}{b} & {D}{b}) ; $proof$ = | fact5 -> int1: ({A}{a} v {B}{a}); int1 -> int2: (Ex): ({A}x v {B}x); int2 & fact7 -> int3: {C}{b}; int3 & fact4 -> int4: {D}{b}; int4 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãœã«ããœãLv.39ã¯å€±æãã | {E}{a} | fact1: åãã¢ã³ã¹ã¿ãŒã¯æ°ã fact2: ãã®ãœã«ããœãLv.39ã¯æ°æ¥ãããããªã fact3: ããä»®ã«ãã®ãœã«ããœãLv.39ãåããªããªããã®ãœã«ããœãLv.39ã¯å€±æãã fact4: ãã®ãœã«ããœãLv.39ã¯æ°ãããã€ããã¯èµ·åµãã fact5: ãããã®ãœã«ããœãLv.39ãæ°æ¥ãããããªããšããã°ããããŸãããŠããã«ãããã£ãœã fact6: ãããã®ãœã«ããœãLv.39ã¯èµ·åµãããçŸããšãããšããã¯åããªã fact7: ãªãããã®ã¢ã³ã¹ã¿ãŒã¯ãããã£ãœããšããã°ã倱æãããã©è²žãåãããªãããšããããšã¯æãç«ããªã fact8: ããä»®ã«ãæ°ãããŸãã¯èµ·åµããããããã¯äž¡æ¹ãšãã§ãããã¢ã³ã¹ã¿ãŒããããšããã°ãã®ãŸããŸã¡ãLv.28ã¯çŸããšããããšã¯ãªã | fact1: (x): {D}x -> {A}x fact2: ¬{I}{a} fact3: ¬{D}{a} -> {E}{a} fact4: ({A}{a} & {B}{a}) fact5: ¬{I}{a} -> ({H}{a} & {G}{a}) fact6: ({B}{a} & {C}{a}) -> ¬{D}{a} fact7: (x): {G}x -> ¬({E}x & ¬{F}x) fact8: (x): ({A}x v {B}x) -> ¬{C}{cr} | [
"fact4 -> int1: ãã®ãœã«ããœãLv.39ã¯èµ·åµãã;"
] | [
"fact4 -> int1: {B}{a};"
] | ãã®ãŸããŸã¡ãLv.28ã¯çŸããªã | ¬{C}{cr} | [
"fact9 -> int2: ä»®ã«ãã®ãœã«ããœãLv.39ãåããšãããšæ°ã; fact12 -> int3: ãã®ãœã«ããœãLv.39ã¯ãããã£ãœããªãã°ã倱æããããã©è²žãåããããšããããšã¯ãªãããšããããšã¯ééã£ãŠãã; fact10 & fact13 -> int4: ãã®ãœã«ããœãLv.39ã¯ããããŸãããŠããã«ããã¯ãããã£ãœã; int4 -> int5: ããã®ãœã«ããœãLv.39ã¯ãããã£ãœãããšããããšã¯äºå®ã ; int3 & int5 -> int6: ããã®ãœã«ããœãLv.39ã¯å€±æããäžæ¹ã§è²žãåãããªãããšããããšã¯çå®ã§ãªã;"
] | 8 | 4 | 4 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: åãã¢ã³ã¹ã¿ãŒã¯æ°ã fact2: ãã®ãœã«ããœãLv.39ã¯æ°æ¥ãããããªã fact3: ããä»®ã«ãã®ãœã«ããœãLv.39ãåããªããªããã®ãœã«ããœãLv.39ã¯å€±æãã fact4: ãã®ãœã«ããœãLv.39ã¯æ°ãããã€ããã¯èµ·åµãã fact5: ãããã®ãœã«ããœãLv.39ãæ°æ¥ãããããªããšããã°ããããŸãããŠããã«ãããã£ãœã fact6: ãããã®ãœã«ããœãLv.39ã¯èµ·åµãããçŸããšãããšããã¯åããªã fact7: ãªãããã®ã¢ã³ã¹ã¿ãŒã¯ãããã£ãœããšããã°ã倱æãããã©è²žãåãããªãããšããããšã¯æãç«ããªã fact8: ããä»®ã«ãæ°ãããŸãã¯èµ·åµããããããã¯äž¡æ¹ãšãã§ãããã¢ã³ã¹ã¿ãŒããããšããã°ãã®ãŸããŸã¡ãLv.28ã¯çŸããšããããšã¯ãªã ; $hypothesis$ = ãã®ãœã«ããœãLv.39ã¯å€±æãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): {D}x -> {A}x fact2: ¬{I}{a} fact3: ¬{D}{a} -> {E}{a} fact4: ({A}{a} & {B}{a}) fact5: ¬{I}{a} -> ({H}{a} & {G}{a}) fact6: ({B}{a} & {C}{a}) -> ¬{D}{a} fact7: (x): {G}x -> ¬({E}x & ¬{F}x) fact8: (x): ({A}x v {B}x) -> ¬{C}{cr} ; $hypothesis$ = {E}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãã®ããLv.40ã¯ç§»ãæããšããããšã¯ãªã | ¬{D}{c} | fact1: ãã®ãœãªãœã®Lv.90ã¯çã fact2: ããããã¢ã³ã¹ã¿ãŒã¯æ祚ããªã fact3: ããããšããã¢ã³ã¹ã¿ãŒãå¯ããªããšãããšçãèŸããªãããããã¯ç§»ãæããäž¡æ¹ãšãã§ãã fact4: ãããããã®ãã¡ãããLv.72ã¯æ³¥èããªãããããã¯çæž©ãããããã¯äž¡æ¹ã§ããããšããããšã¯æãç«ããªããšãããšãã®ãœãªãœã®Lv.90ã¯çãèŸã fact5: æ³¥èããªããçæž©ããšããã¢ã³ã¹ã¿ãŒã¯ãªã fact6: ããããã®ãœãªãœã®Lv.90ãçãèŸããšããããšã¯ãªãããããã¯ç§»ãæãããŸãã¯ã©ã¡ããã§ãããšããã°ãã®ãã®ããLv.40ã¯ç§»ãæããªã fact7: ããä»®ã«ãã®ãã®ããLv.40ãç²åŽãæããªããã®ãã®ããLv.40ã¯ç§»ãæã fact8: ãã®ãœãªãœã®Lv.90ãçãèŸããšããããã®ã·ã®ã·ãLv.94ã¯å¯ã fact9: ãã®ã·ã®ã·ãLv.94ãå¯ãã°ãã®ãã®ããLv.40ã¯ç²åŽãæã | fact1: {BM}{a} fact2: (x): ¬{CL}x fact3: (x): ¬{B}x -> (¬{A}x v {D}x) fact4: ¬(¬{AA}{aa} v {AB}{aa}) -> {A}{a} fact5: (x): ¬(¬{AA}x v {AB}x) fact6: (¬{A}{a} v {D}{a}) -> ¬{D}{c} fact7: {C}{c} -> {D}{c} fact8: {A}{a} -> {B}{b} fact9: {B}{b} -> {C}{c} | [
"fact5 -> int1: ããã®ãã¡ãããLv.72ã¯æ³¥èããªãããããã¯çæž©ãããããã¯ã©ã¡ããã ããšããããšã¯èª€ãã ; int1 & fact4 -> int2: ãã®ãœãªãœã®Lv.90ã¯çãèŸã; int2 & fact8 -> int3: ãã®ã·ã®ã·ãLv.94ã¯å¯ã; int3 & fact9 -> int4: ãã®ãã®ããLv.40ã¯ç²åŽãæã; int4 & fact7 -> hypothesis;"
] | [
"fact5 -> int1: ¬(¬{AA}{aa} v {AB}{aa}); int1 & fact4 -> int2: {A}{a}; int2 & fact8 -> int3: {B}{b}; int3 & fact9 -> int4: {C}{c}; int4 & fact7 -> hypothesis;"
] | ãã®ãã®ããLv.40ã¯ç§»ãæããšããããšã¯ãªã | ¬{D}{c} | [
"fact10 -> int5: ããããã®ãœãªãœã®Lv.90ã¯å¯ããšããããšã¯ãªãããšããããšã¯æ¬åœã§ãããšããããã®ãœãªãœã®Lv.90ã¯çãèŸããªãããããã¯ç§»ãæã;"
] | 5 | 5 | 5 | 5 | 5 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ãœãªãœã®Lv.90ã¯çã fact2: ããããã¢ã³ã¹ã¿ãŒã¯æ祚ããªã fact3: ããããšããã¢ã³ã¹ã¿ãŒãå¯ããªããšãããšçãèŸããªãããããã¯ç§»ãæããäž¡æ¹ãšãã§ãã fact4: ãããããã®ãã¡ãããLv.72ã¯æ³¥èããªãããããã¯çæž©ãããããã¯äž¡æ¹ã§ããããšããããšã¯æãç«ããªããšãããšãã®ãœãªãœã®Lv.90ã¯çãèŸã fact5: æ³¥èããªããçæž©ããšããã¢ã³ã¹ã¿ãŒã¯ãªã fact6: ããããã®ãœãªãœã®Lv.90ãçãèŸããšããããšã¯ãªãããããã¯ç§»ãæãããŸãã¯ã©ã¡ããã§ãããšããã°ãã®ãã®ããLv.40ã¯ç§»ãæããªã fact7: ããä»®ã«ãã®ãã®ããLv.40ãç²åŽãæããªããã®ãã®ããLv.40ã¯ç§»ãæã fact8: ãã®ãœãªãœã®Lv.90ãçãèŸããšããããã®ã·ã®ã·ãLv.94ã¯å¯ã fact9: ãã®ã·ã®ã·ãLv.94ãå¯ãã°ãã®ãã®ããLv.40ã¯ç²åŽãæã ; $hypothesis$ = ãã®ãã®ããLv.40ã¯ç§»ãæããšããããšã¯ãªã ; $proof$ = | fact5 -> int1: ããã®ãã¡ãããLv.72ã¯æ³¥èããªãããããã¯çæž©ãããããã¯ã©ã¡ããã ããšããããšã¯èª€ãã ; int1 & fact4 -> int2: ãã®ãœãªãœã®Lv.90ã¯çãèŸã; int2 & fact8 -> int3: ãã®ã·ã®ã·ãLv.94ã¯å¯ã; int3 & fact9 -> int4: ãã®ãã®ããLv.40ã¯ç²åŽãæã; int4 & fact7 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {BM}{a} fact2: (x): ¬{CL}x fact3: (x): ¬{B}x -> (¬{A}x v {D}x) fact4: ¬(¬{AA}{aa} v {AB}{aa}) -> {A}{a} fact5: (x): ¬(¬{AA}x v {AB}x) fact6: (¬{A}{a} v {D}{a}) -> ¬{D}{c} fact7: {C}{c} -> {D}{c} fact8: {A}{a} -> {B}{b} fact9: {B}{b} -> {C}{c} ; $hypothesis$ = ¬{D}{c} ; $proof$ = | fact5 -> int1: ¬(¬{AA}{aa} v {AB}{aa}); int1 & fact4 -> int2: {A}{a}; int2 & fact8 -> int3: {B}{b}; int3 & fact9 -> int4: {C}{c}; int4 & fact7 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãã«ãããLv.10ã¯æªæ¯ã£ãœã | {C}{a} | fact1: èãèŸããªãã¢ã³ã¹ã¿ãŒã¯çŸè¡ããªã fact2: ãã®ãã«ãããLv.10ãçŸè¡ããªããšãããšãã®ã¿ã¡ãã¿ã¡ãLv.7ã¯ãããããããã¯æªæ¯ã£ãœãããŸãã¯äž¡æ¹ã§ãã fact3: ãã®ãã«ãããLv.10ã¯ããã fact4: ããããã®ãã«ãããLv.10ã¯åœå¶åãããããã«ããããšããã°ããã¯æªæ¯ã£ãœããªã fact5: ããã®ãã«ãããLv.10ã¯åœå¶åããããšããããšã¯åã§ãªã fact6: ä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒãä¿¡ãé£ããªããšããã°èãèŸããªã fact7: ããä»®ã«ãã®ãœããœã®Lv.22ãæªæ¯ã£ãœããšããã°ãã®ãã«ãããLv.10ã¯æªæ¯ã£ãœã fact8: ããä»®ã«ãäœããã®ã¢ã³ã¹ã¿ãŒã¯ããããªãããšããããšã¯ç¢ºãã§ãããªãã°ããã¯åœå¶åãããæªæ¯ã£ãœã | fact1: (x): ¬{E}x -> ¬{D}x fact2: ¬{D}{a} -> ({B}{ai} v {C}{ai}) fact3: {B}{a} fact4: ({A}{a} & {B}{a}) -> ¬{C}{a} fact5: {A}{a} fact6: (x): ¬{F}x -> ¬{E}x fact7: {C}{b} -> {C}{a} fact8: (x): ¬{B}x -> ({A}x & {C}x) | [
"fact5 & fact3 -> int1: ãã®ãã«ãããLv.10ã¯åœå¶åããããŸãããã; int1 & fact4 -> hypothesis;"
] | [
"fact5 & fact3 -> int1: ({A}{a} & {B}{a}); int1 & fact4 -> hypothesis;"
] | ãã®ãã«ãããLv.10ã¯æªæ¯ã£ãœã | {C}{a} | [
"fact10 -> int2: ä»®ã«ãã®ãœããœã®Lv.22ã¯ããããšããããšã¯ãªããªãããã®ãœããœã®Lv.22ã¯åœå¶åãããããã«æªæ¯ã£ãœãããšããããšã¯æ¬åœã§ãã;"
] | 5 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: èãèŸããªãã¢ã³ã¹ã¿ãŒã¯çŸè¡ããªã fact2: ãã®ãã«ãããLv.10ãçŸè¡ããªããšãããšãã®ã¿ã¡ãã¿ã¡ãLv.7ã¯ãããããããã¯æªæ¯ã£ãœãããŸãã¯äž¡æ¹ã§ãã fact3: ãã®ãã«ãããLv.10ã¯ããã fact4: ããããã®ãã«ãããLv.10ã¯åœå¶åãããããã«ããããšããã°ããã¯æªæ¯ã£ãœããªã fact5: ããã®ãã«ãããLv.10ã¯åœå¶åããããšããããšã¯åã§ãªã fact6: ä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒãä¿¡ãé£ããªããšããã°èãèŸããªã fact7: ããä»®ã«ãã®ãœããœã®Lv.22ãæªæ¯ã£ãœããšããã°ãã®ãã«ãããLv.10ã¯æªæ¯ã£ãœã fact8: ããä»®ã«ãäœããã®ã¢ã³ã¹ã¿ãŒã¯ããããªãããšããããšã¯ç¢ºãã§ãããªãã°ããã¯åœå¶åãããæªæ¯ã£ãœã ; $hypothesis$ = ãã®ãã«ãããLv.10ã¯æªæ¯ã£ãœã ; $proof$ = | fact5 & fact3 -> int1: ãã®ãã«ãããLv.10ã¯åœå¶åããããŸãããã; int1 & fact4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ¬{E}x -> ¬{D}x fact2: ¬{D}{a} -> ({B}{ai} v {C}{ai}) fact3: {B}{a} fact4: ({A}{a} & {B}{a}) -> ¬{C}{a} fact5: {A}{a} fact6: (x): ¬{F}x -> ¬{E}x fact7: {C}{b} -> {C}{a} fact8: (x): ¬{B}x -> ({A}x & {C}x) ; $hypothesis$ = {C}{a} ; $proof$ = | fact5 & fact3 -> int1: ({A}{a} & {B}{a}); int1 & fact4 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãœããœãªLv.42ã¯éã°ãªããŠãã€çãŸãæããªã | (¬{E}{d} & ¬{G}{d}) | fact1: ä»®ã«ãã®ãŽã«ããŽãLv.79ãæ®çºãæããªãã°ãã®ãã¡ããã«ã
Lv.6ã¯å·ãæã fact2: ããããã®ãŽã«ããŽãLv.79ãæªãããšãããããã¯æ®çºãæã fact3: ä»®ã«ãã®ã¿ãã¿ãLv.10ãéã°ãªããªããã®ãœããœãªLv.42ã¯éã°ãªããŠããã¯çãŸãæããªã fact4: ä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯æªãããªããªãã°ãããã¯éã°ãªããŠãã®äžçãŸãæããªãããšããããšã¯äºå®ãšç°ãªã fact5: ãã®ãŽã«ããŽãLv.79ã¯æªãã fact6: ãã®ãã¡ããã«ã
Lv.6ã¯åŸé£ã fact7: ä»®ã«ãã®ãã¡ããã«ã
Lv.6ãåŸé£ãããããå·ãæããšãããšãã®ã¿ãã¿ãLv.10ã¯éã°ãªã | fact1: {B}{a} -> {C}{b} fact2: {A}{a} -> {B}{a} fact3: ¬{E}{c} -> (¬{E}{d} & ¬{G}{d}) fact4: (x): ¬{A}x -> ¬(¬{E}x & ¬{G}x) fact5: {A}{a} fact6: {D}{b} fact7: ({D}{b} & {C}{b}) -> ¬{E}{c} | [
"fact2 & fact5 -> int1: ãã®ãŽã«ããŽãLv.79ã¯æ®çºãæã; int1 & fact1 -> int2: ãã®ãã¡ããã«ã
Lv.6ã¯å·ãæã; int2 & fact6 -> int3: ãã®ãã¡ããã«ã
Lv.6ã¯åŸé£ããå·ãæã; int3 & fact7 -> int4: ãã®ã¿ãã¿ãLv.10ã¯éã°ãªã; int4 & fact3 -> hypothesis;"
] | [
"fact2 & fact5 -> int1: {B}{a}; int1 & fact1 -> int2: {C}{b}; int2 & fact6 -> int3: ({D}{b} & {C}{b}); int3 & fact7 -> int4: ¬{E}{c}; int4 & fact3 -> hypothesis;"
] | ããã®ãœããœãªLv.42ã¯éã¶ãšããããšã¯ãªããŠãŸãçãŸãæããªãããšããããšã¯èª€ãã | ¬(¬{E}{d} & ¬{G}{d}) | [
"fact8 -> int5: ãããã®ãœããœãªLv.42ã¯æªãããªããªãããã®ãœããœãªLv.42ã¯éã¶ãšããããšã¯ãªããŠå ããŠããã¯çãŸãæããšããããšã¯ãªãããšããããšã¯æãç«ããªã;"
] | 5 | 5 | 5 | 5 | 5 | 1 | 0 | 1 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ä»®ã«ãã®ãŽã«ããŽãLv.79ãæ®çºãæããªãã°ãã®ãã¡ããã«ã
Lv.6ã¯å·ãæã fact2: ããããã®ãŽã«ããŽãLv.79ãæªãããšãããããã¯æ®çºãæã fact3: ä»®ã«ãã®ã¿ãã¿ãLv.10ãéã°ãªããªããã®ãœããœãªLv.42ã¯éã°ãªããŠããã¯çãŸãæããªã fact4: ä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯æªãããªããªãã°ãããã¯éã°ãªããŠãã®äžçãŸãæããªãããšããããšã¯äºå®ãšç°ãªã fact5: ãã®ãŽã«ããŽãLv.79ã¯æªãã fact6: ãã®ãã¡ããã«ã
Lv.6ã¯åŸé£ã fact7: ä»®ã«ãã®ãã¡ããã«ã
Lv.6ãåŸé£ãããããå·ãæããšãããšãã®ã¿ãã¿ãLv.10ã¯éã°ãªã ; $hypothesis$ = ãã®ãœããœãªLv.42ã¯éã°ãªããŠãã€çãŸãæããªã ; $proof$ = | fact2 & fact5 -> int1: ãã®ãŽã«ããŽãLv.79ã¯æ®çºãæã; int1 & fact1 -> int2: ãã®ãã¡ããã«ã
Lv.6ã¯å·ãæã; int2 & fact6 -> int3: ãã®ãã¡ããã«ã
Lv.6ã¯åŸé£ããå·ãæã; int3 & fact7 -> int4: ãã®ã¿ãã¿ãLv.10ã¯éã°ãªã; int4 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: {B}{a} -> {C}{b} fact2: {A}{a} -> {B}{a} fact3: ¬{E}{c} -> (¬{E}{d} & ¬{G}{d}) fact4: (x): ¬{A}x -> ¬(¬{E}x & ¬{G}x) fact5: {A}{a} fact6: {D}{b} fact7: ({D}{b} & {C}{b}) -> ¬{E}{c} ; $hypothesis$ = (¬{E}{d} & ¬{G}{d}) ; $proof$ = | fact2 & fact5 -> int1: {B}{a}; int1 & fact1 -> int2: {C}{b}; int2 & fact6 -> int3: ({D}{b} & {C}{b}); int3 & fact7 -> int4: ¬{E}{c}; int4 & fact3 -> hypothesis; __PROVED__ |
0.3 | å²ãæããšããããšãèµ·ãã | {D} | fact1: ãã·ã«ã·ãªLv.22äºä»¶ãšã·ã®ã·ã®Lv.87äºä»¶ãèµ·ããããšããããšã¯ãåºãŒããšããããšã¯çããªãããšããããšã«ãããããã fact2: æãé£ããšããããšã¯ã·ã®ã·ã®Lv.87äºä»¶ããã£ããã§ãã fact3: ã·ã«ã·ãªLv.22äºä»¶ãèµ·ãã fact4: æãé£ããšããããšã¯å²ãæããšããããšã¯èµ·ãããªããšããããšãé²ã fact5: ã·ã®ã·ã®Lv.87äºä»¶ã¯çããªããšãããšå²ãæããšããããšã¯èµ·ãããªãããããã·ã«ã·ãªLv.22äºä»¶ãèµ·ãã fact6: ãã·ã«ã·ãªLv.22äºä»¶ã¯èµ·ããªãããšããããšã¯åºãŒããšããããšã¯çããªããšããããšã«é»æ¢ããã | fact1: ¬{E} -> ({A} & {B}) fact2: {B} -> {C} fact3: {A} fact4: {C} -> {D} fact5: ¬{B} -> (¬{D} & {A}) fact6: ¬{E} -> {A} | [] | [] | å²ãæããšããããšã¯çºçããªã | ¬{D} | [] | 6 | 4 | 4 | null | null | 3 | 0 | 3 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãã·ã«ã·ãªLv.22äºä»¶ãšã·ã®ã·ã®Lv.87äºä»¶ãèµ·ããããšããããšã¯ãåºãŒããšããããšã¯çããªãããšããããšã«ãããããã fact2: æãé£ããšããããšã¯ã·ã®ã·ã®Lv.87äºä»¶ããã£ããã§ãã fact3: ã·ã«ã·ãªLv.22äºä»¶ãèµ·ãã fact4: æãé£ããšããããšã¯å²ãæããšããããšã¯èµ·ãããªããšããããšãé²ã fact5: ã·ã®ã·ã®Lv.87äºä»¶ã¯çããªããšãããšå²ãæããšããããšã¯èµ·ãããªãããããã·ã«ã·ãªLv.22äºä»¶ãèµ·ãã fact6: ãã·ã«ã·ãªLv.22äºä»¶ã¯èµ·ããªãããšããããšã¯åºãŒããšããããšã¯çããªããšããããšã«é»æ¢ããã ; $hypothesis$ = å²ãæããšããããšãèµ·ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{E} -> ({A} & {B}) fact2: {B} -> {C} fact3: {A} fact4: {C} -> {D} fact5: ¬{B} -> (¬{D} & {A}) fact6: ¬{E} -> {A} ; $hypothesis$ = {D} ; $proof$ = | __UNKNOWN__ |
0.3 | ã匷ããããšã¯ãéãããããšã¯èµ·ããªããã©éãé£ããšããããšãçããããšããããšã«é»æ¢ãããããšããããšã¯æãç«ããªã | ¬((¬{A} & {B}) -> ¬{D}) | fact1: ããããè©®ç¡ããšããããšãéãé£ããšããããšãçºçããããšããããšã¯äºå®ãšç°ãªããšãããšåŒ·ããããšã¯èµ·ãããªã fact2: éãé£ããšããããšãçºçãããšãããšãè©®ç¡ããšããããšãçããããŸãã¯éãé£ããšããããšã¯èµ·ããªãããšããããšã¯æãç«ããªã fact3: éãããããšã¯èµ·ãããªã fact4: ããä»®ã«ãè©®ç¡ããšããããšãèµ·ããããŸãã¯éãé£ããšããããšã¯èµ·ãããªãããšããããšã¯åã§ãããªãã°åŒ·ããããšã¯èµ·ããªã | fact1: ¬({C} v {B}) -> ¬{D} fact2: {B} -> ¬({C} v ¬{B}) fact3: ¬{A} fact4: ¬({C} v ¬{B}) -> ¬{D} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããéãããããšãçããªããŠéãé£ããšããããšã¯çºçãã; assump1 -> int1: éãé£ããšããããšãçãã; int1 & fact2 -> int2: ãè©®ç¡ããšããããšãçºçããããããã¯éãé£ããšããããšã¯çºçããªãããããã¯äž¡æ¹ãšãã§ããããšããããšã¯èª€ã£ãŠãã; int2 & fact4 -> int3: 匷ããããšã¯çºçããªã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: (¬{A} & {B}); assump1 -> int1: {B}; int1 & fact2 -> int2: ¬({C} v ¬{B}); int2 & fact4 -> int3: ¬{D}; [assump1] & int3 -> hypothesis;"
] | null | null | [] | null | 5 | 3 | 5 | 3 | 2 | 0 | 2 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ããããè©®ç¡ããšããããšãéãé£ããšããããšãçºçããããšããããšã¯äºå®ãšç°ãªããšãããšåŒ·ããããšã¯èµ·ãããªã fact2: éãé£ããšããããšãçºçãããšãããšãè©®ç¡ããšããããšãçããããŸãã¯éãé£ããšããããšã¯èµ·ããªãããšããããšã¯æãç«ããªã fact3: éãããããšã¯èµ·ãããªã fact4: ããä»®ã«ãè©®ç¡ããšããããšãèµ·ããããŸãã¯éãé£ããšããããšã¯èµ·ãããªãããšããããšã¯åã§ãããªãã°åŒ·ããããšã¯èµ·ããªã ; $hypothesis$ = ã匷ããããšã¯ãéãããããšã¯èµ·ããªããã©éãé£ããšããããšãçããããšããããšã«é»æ¢ãããããšããããšã¯æãç«ããªã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ãããéãããããšãçããªããŠéãé£ããšããããšã¯çºçãã; assump1 -> int1: éãé£ããšããããšãçãã; int1 & fact2 -> int2: ãè©®ç¡ããšããããšãçºçããããããã¯éãé£ããšããããšã¯çºçããªãããããã¯äž¡æ¹ãšãã§ããããšããããšã¯èª€ã£ãŠãã; int2 & fact4 -> int3: 匷ããããšã¯çºçããªã; [assump1] & int3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬({C} v {B}) -> ¬{D} fact2: {B} -> ¬({C} v ¬{B}) fact3: ¬{A} fact4: ¬({C} v ¬{B}) -> ¬{D} ; $hypothesis$ = ¬((¬{A} & {B}) -> ¬{D}) ; $proof$ = | void -> assump1: (¬{A} & {B}); assump1 -> int1: {B}; int1 & fact2 -> int2: ¬({C} v ¬{B}); int2 & fact4 -> int3: ¬{D}; [assump1] & int3 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ããããLv.77ã¯ããæããªã | ¬{D}{b} | fact1: ããä»®ã«ããã®ãŸããŸãLv.60ã¯åŸããæãããããæ²¹ã£ãœããªãããšããããšã¯ééããªããã®ãŸããŸãLv.75ã¯äžç¥èŸã fact2: ä»®ã«ãã®ãŸããŸãLv.75ã¯ãããããããã¯æãããšãããããã®ããããLv.77ã¯ããæããšããããšã¯ãªãããšããããšã¯ç¢ºãã fact3: ä»®ã«ãã®ãŸããŸãLv.75ãäžç¥èŸããšãããããã¯æãã fact4: ããã®ãŸããŸãLv.60ã¯åŸããæããã©æ²¹ã£ãœããªãããšããããšã¯æãç«ããªã | fact1: ¬({F}{c} & ¬{E}{c}) -> {A}{a} fact2: ({C}{a} v {B}{a}) -> ¬{D}{b} fact3: {A}{a} -> {B}{a} fact4: ¬({F}{c} & ¬{E}{c}) | [
"fact1 & fact4 -> int1: ãã®ãŸããŸãLv.75ã¯äžç¥èŸã; fact3 & int1 -> int2: ãã®ãŸããŸãLv.75ã¯æãã; int2 -> int3: ãã®ãŸããŸãLv.75ã¯ãããããããã¯æããããããã¯äž¡æ¹ã§ãã; int3 & fact2 -> hypothesis;"
] | [
"fact1 & fact4 -> int1: {A}{a}; fact3 & int1 -> int2: {B}{a}; int2 -> int3: ({C}{a} v {B}{a}); int3 & fact2 -> hypothesis;"
] | null | null | [] | null | 4 | 4 | 4 | 4 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ããä»®ã«ããã®ãŸããŸãLv.60ã¯åŸããæãããããæ²¹ã£ãœããªãããšããããšã¯ééããªããã®ãŸããŸãLv.75ã¯äžç¥èŸã fact2: ä»®ã«ãã®ãŸããŸãLv.75ã¯ãããããããã¯æãããšãããããã®ããããLv.77ã¯ããæããšããããšã¯ãªãããšããããšã¯ç¢ºãã fact3: ä»®ã«ãã®ãŸããŸãLv.75ãäžç¥èŸããšãããããã¯æãã fact4: ããã®ãŸããŸãLv.60ã¯åŸããæããã©æ²¹ã£ãœããªãããšããããšã¯æãç«ããªã ; $hypothesis$ = ãã®ããããLv.77ã¯ããæããªã ; $proof$ = | fact1 & fact4 -> int1: ãã®ãŸããŸãLv.75ã¯äžç¥èŸã; fact3 & int1 -> int2: ãã®ãŸããŸãLv.75ã¯æãã; int2 -> int3: ãã®ãŸããŸãLv.75ã¯ãããããããã¯æããããããã¯äž¡æ¹ã§ãã; int3 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬({F}{c} & ¬{E}{c}) -> {A}{a} fact2: ({C}{a} v {B}{a}) -> ¬{D}{b} fact3: {A}{a} -> {B}{a} fact4: ¬({F}{c} & ¬{E}{c}) ; $hypothesis$ = ¬{D}{b} ; $proof$ = | fact1 & fact4 -> int1: {A}{a}; fact3 & int1 -> int2: {B}{a}; int2 -> int3: ({C}{a} v {B}{a}); int3 & fact2 -> hypothesis; __PROVED__ |
0.3 | ãã®ã·ã«ãã·ã«Lv.1ã¯æãæããªã | ¬{A}{a} | fact1: ãã®ãããã¡ã
Lv.80ã¯äŒŽãæã fact2: ããä»®ã«ãã®ã·ã«ãã·ã«Lv.1ãæãæãããããã¯ãããæãããããã¯ã©ã¡ãããªãã°ãã®ãããã¡ã
Lv.80ã¯äŒŽãæããªã | fact1: {C}{b} fact2: ({A}{a} v {B}{a}) -> ¬{C}{b} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ã·ã«ãã·ã«Lv.1ã¯æãæã; assump1 -> int1: ãã®ã·ã«ãã·ã«Lv.1ã¯æãæããããã¯æããäž¡æ¹ã§ãã; int1 & fact2 -> int2: ãã®ãããã¡ã
Lv.80ã¯äŒŽãæããªã; int2 & fact1 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: {A}{a}; assump1 -> int1: ({A}{a} v {B}{a}); int1 & fact2 -> int2: ¬{C}{b}; int2 & fact1 -> int3: #F#; [assump1] & int3 -> hypothesis;"
] | null | null | [] | null | 5 | 3 | 5 | 3 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ãã®ãããã¡ã
Lv.80ã¯äŒŽãæã fact2: ããä»®ã«ãã®ã·ã«ãã·ã«Lv.1ãæãæãããããã¯ãããæãããããã¯ã©ã¡ãããªãã°ãã®ãããã¡ã
Lv.80ã¯äŒŽãæããªã ; $hypothesis$ = ãã®ã·ã«ãã·ã«Lv.1ã¯æãæããªã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããã®ã·ã«ãã·ã«Lv.1ã¯æãæã; assump1 -> int1: ãã®ã·ã«ãã·ã«Lv.1ã¯æãæããããã¯æããäž¡æ¹ã§ãã; int1 & fact2 -> int2: ãã®ãããã¡ã
Lv.80ã¯äŒŽãæããªã; int2 & fact1 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis; __PROVED__ | $facts$ = fact1: {C}{b} fact2: ({A}{a} v {B}{a}) -> ¬{C}{b} ; $hypothesis$ = ¬{A}{a} ; $proof$ = | void -> assump1: {A}{a}; assump1 -> int1: ({A}{a} v {B}{a}); int1 & fact2 -> int2: ¬{C}{b}; int2 & fact1 -> int3: #F#; [assump1] & int3 -> hypothesis; __PROVED__ |
0.3 | ã¿ã«ã¿ã¡ãLv.0äºä»¶ã¯çããªã | ¬{G} | fact1: ãŸããŸã¡ã
Lv.17äºä»¶ã¯ãã¿ãã¿ã«ãLv.23äºä»¶ã¯èµ·ãããªãããšããããšãé»æ¢ãã fact2: ä»®ã«ããŽããŽã¡ãLv.38äºä»¶ãèµ·ãããå ããŠéããšããããšãçºçããããšããããšã¯ééãã ãšãããä»æããšããããšã¯çããªã fact3: ã·ãã·ã«ãLv.43äºä»¶ã¯ã¿ãã¿ãLv.28äºä»¶ãåŒãèµ·ãã fact4: ããããã¿ãã¿ã«ãLv.23äºä»¶ããã³çºçãé£ããšããããšãèµ·ããããšããããšã¯æãç«ããªãããšããããšã¯ç¢ºãã ãšããã°ã¿ãã¿ã«ãLv.23äºä»¶ã¯çããªã fact5: ä»æããšããããšãçãã fact6: æã蟌ãŸãããšãçºçããããããã¯ã·ãã·ã«ãLv.43äºä»¶ãèµ·ãããäž¡æ¹ãšãã fact7: ãŸããŸã®Lv.68äºä»¶ã¯èµ·ãããªã fact8: ã·ãã·ã«ãLv.43äºä»¶ã¯ããã¿ãã¿ãLv.28äºä»¶ã¯çããªããããããŸããŸã¡ã
Lv.17äºä»¶ãèµ·ããããšããããšã¯æ£ããããšããããšã«é»ãŸãã fact9: ãã¿ã«ã¿ã¡ãLv.0äºä»¶ã¯èµ·ãããªãããšããããšã¯ã¿ãã¿ã«ãLv.23äºä»¶ãšä»æããšããããšãèµ·ããã«ç±æ¥ãã fact10: ãŽã«ããŽãLv.33äºä»¶ã¯åãåºãæããšããããšã¯èµ·ãããªããšããããšãé»æ¢ãã fact11: ããŸããŸã¡ã
Lv.17äºä»¶ã¯çºçããªãããšããããšã¯ã¿ãã¿ãLv.28äºä»¶ã«é²ããã fact12: ãã¿ãã¿ãLv.28äºä»¶ã¯èµ·ãããªãããšããããšã¯æã蟌ãŸãããšã«é»æ¢ããã | fact1: {D} -> {E} fact2: ¬({I} & {J}) -> ¬{F} fact3: {B} -> {C} fact4: ¬({E} & {H}) -> ¬{E} fact5: {F} fact6: ({A} v {B}) fact7: ¬{IS} fact8: (¬{C} & {D}) -> ¬{B} fact9: ({E} & {F}) -> ¬{G} fact10: {HQ} -> {DR} fact11: {C} -> {D} fact12: {A} -> {C} | [
"fact6 & fact12 & fact3 -> int1: ã¿ãã¿ãLv.28äºä»¶ãèµ·ãã; int1 & fact11 -> int2: ãŸããŸã¡ã
Lv.17äºä»¶ãçºçãã; int2 & fact1 -> int3: ã¿ãã¿ã«ãLv.23äºä»¶ãèµ·ãã; int3 & fact5 -> int4: ã¿ãã¿ã«ãLv.23äºä»¶ãšä»æããšããããšãèµ·ãã; int4 & fact9 -> hypothesis;"
] | [
"fact6 & fact12 & fact3 -> int1: {C}; int1 & fact11 -> int2: {D}; int2 & fact1 -> int3: {E}; int3 & fact5 -> int4: ({E} & {F}); int4 & fact9 -> hypothesis;"
] | ã¿ã«ã¿ã¡ãLv.0äºä»¶ãèµ·ãã | {G} | [] | 8 | 5 | 5 | 5 | 5 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãŸããŸã¡ã
Lv.17äºä»¶ã¯ãã¿ãã¿ã«ãLv.23äºä»¶ã¯èµ·ãããªãããšããããšãé»æ¢ãã fact2: ä»®ã«ããŽããŽã¡ãLv.38äºä»¶ãèµ·ãããå ããŠéããšããããšãçºçããããšããããšã¯ééãã ãšãããä»æããšããããšã¯çããªã fact3: ã·ãã·ã«ãLv.43äºä»¶ã¯ã¿ãã¿ãLv.28äºä»¶ãåŒãèµ·ãã fact4: ããããã¿ãã¿ã«ãLv.23äºä»¶ããã³çºçãé£ããšããããšãèµ·ããããšããããšã¯æãç«ããªãããšããããšã¯ç¢ºãã ãšããã°ã¿ãã¿ã«ãLv.23äºä»¶ã¯çããªã fact5: ä»æããšããããšãçãã fact6: æã蟌ãŸãããšãçºçããããããã¯ã·ãã·ã«ãLv.43äºä»¶ãèµ·ãããäž¡æ¹ãšãã fact7: ãŸããŸã®Lv.68äºä»¶ã¯èµ·ãããªã fact8: ã·ãã·ã«ãLv.43äºä»¶ã¯ããã¿ãã¿ãLv.28äºä»¶ã¯çããªããããããŸããŸã¡ã
Lv.17äºä»¶ãèµ·ããããšããããšã¯æ£ããããšããããšã«é»ãŸãã fact9: ãã¿ã«ã¿ã¡ãLv.0äºä»¶ã¯èµ·ãããªãããšããããšã¯ã¿ãã¿ã«ãLv.23äºä»¶ãšä»æããšããããšãèµ·ããã«ç±æ¥ãã fact10: ãŽã«ããŽãLv.33äºä»¶ã¯åãåºãæããšããããšã¯èµ·ãããªããšããããšãé»æ¢ãã fact11: ããŸããŸã¡ã
Lv.17äºä»¶ã¯çºçããªãããšããããšã¯ã¿ãã¿ãLv.28äºä»¶ã«é²ããã fact12: ãã¿ãã¿ãLv.28äºä»¶ã¯èµ·ãããªãããšããããšã¯æã蟌ãŸãããšã«é»æ¢ããã ; $hypothesis$ = ã¿ã«ã¿ã¡ãLv.0äºä»¶ã¯çããªã ; $proof$ = | fact6 & fact12 & fact3 -> int1: ã¿ãã¿ãLv.28äºä»¶ãèµ·ãã; int1 & fact11 -> int2: ãŸããŸã¡ã
Lv.17äºä»¶ãçºçãã; int2 & fact1 -> int3: ã¿ãã¿ã«ãLv.23äºä»¶ãèµ·ãã; int3 & fact5 -> int4: ã¿ãã¿ã«ãLv.23äºä»¶ãšä»æããšããããšãèµ·ãã; int4 & fact9 -> hypothesis; __PROVED__ | $facts$ = fact1: {D} -> {E} fact2: ¬({I} & {J}) -> ¬{F} fact3: {B} -> {C} fact4: ¬({E} & {H}) -> ¬{E} fact5: {F} fact6: ({A} v {B}) fact7: ¬{IS} fact8: (¬{C} & {D}) -> ¬{B} fact9: ({E} & {F}) -> ¬{G} fact10: {HQ} -> {DR} fact11: {C} -> {D} fact12: {A} -> {C} ; $hypothesis$ = ¬{G} ; $proof$ = | fact6 & fact12 & fact3 -> int1: {C}; int1 & fact11 -> int2: {D}; int2 & fact1 -> int3: {E}; int3 & fact5 -> int4: ({E} & {F}); int4 & fact9 -> hypothesis; __PROVED__ |
0.3 | ããã£ã±ããšããããšãçãã | {D} | fact1: ãŒãããšããããšã¯èµ·ãããªã fact2: ãé·ãŒããšããããšãèµ·ããããŽããŽã«Lv.36äºä»¶ãçããããšããããšã¯ãæ¬åœããããšããããšã¯èµ·ããªãããšããããšã«ããçãã fact3: æ¬åœããããšããããšã¯èµ·ããªã fact4: ããã£ã±ããšããããšã¯çããªããšããããšã¯ãé·ãŒããšããããšããããã¯æ²¹ã£ãœããšããããšã¯æ£ããããšããããšããã£ããã fact5: ã¿ãã¿ãLv.53äºä»¶ã¯çºçããªã fact6: 溶ãæããšããããšãèµ·ãããšããããšã¯ããœã«ã
ãœãLv.26äºä»¶ã¯èµ·ãããªãããšããããšãçãããã fact7: ã¿ãã¿ã«Lv.56äºä»¶ãçãã fact8: ãŽã«ã
ãŽã¡ãLv.62äºä»¶ãçãããé¥ãæããšããããšãçãã | fact1: ¬{FK} fact2: ¬{E} -> ({A} & {B}) fact3: ¬{E} fact4: ({A} v {C}) -> ¬{D} fact5: ¬{DN} fact6: {FB} -> ¬{HK} fact7: {IH} fact8: ({EK} & {CG}) | [
"fact2 & fact3 -> int1: é·ãŒããšããããšããã³ãŽããŽã«Lv.36äºä»¶ãçºçãã; int1 -> int2: é·ãŒããšããããšãèµ·ãã; int2 -> int3: é·ãŒããšããããšããŸãã¯æ²¹ã£ãœããšããããšãèµ·ãã; int3 & fact4 -> hypothesis;"
] | [
"fact2 & fact3 -> int1: ({A} & {B}); int1 -> int2: {A}; int2 -> int3: ({A} v {C}); int3 & fact4 -> hypothesis;"
] | null | null | [] | null | 4 | 4 | 4 | 4 | 5 | 0 | 5 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãŒãããšããããšã¯èµ·ãããªã fact2: ãé·ãŒããšããããšãèµ·ããããŽããŽã«Lv.36äºä»¶ãçããããšããããšã¯ãæ¬åœããããšããããšã¯èµ·ããªãããšããããšã«ããçãã fact3: æ¬åœããããšããããšã¯èµ·ããªã fact4: ããã£ã±ããšããããšã¯çããªããšããããšã¯ãé·ãŒããšããããšããããã¯æ²¹ã£ãœããšããããšã¯æ£ããããšããããšããã£ããã fact5: ã¿ãã¿ãLv.53äºä»¶ã¯çºçããªã fact6: 溶ãæããšããããšãèµ·ãããšããããšã¯ããœã«ã
ãœãLv.26äºä»¶ã¯èµ·ãããªãããšããããšãçãããã fact7: ã¿ãã¿ã«Lv.56äºä»¶ãçãã fact8: ãŽã«ã
ãŽã¡ãLv.62äºä»¶ãçãããé¥ãæããšããããšãçãã ; $hypothesis$ = ããã£ã±ããšããããšãçãã ; $proof$ = | fact2 & fact3 -> int1: é·ãŒããšããããšããã³ãŽããŽã«Lv.36äºä»¶ãçºçãã; int1 -> int2: é·ãŒããšããããšãèµ·ãã; int2 -> int3: é·ãŒããšããããšããŸãã¯æ²¹ã£ãœããšããããšãèµ·ãã; int3 & fact4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{FK} fact2: ¬{E} -> ({A} & {B}) fact3: ¬{E} fact4: ({A} v {C}) -> ¬{D} fact5: ¬{DN} fact6: {FB} -> ¬{HK} fact7: {IH} fact8: ({EK} & {CG}) ; $hypothesis$ = {D} ; $proof$ = | fact2 & fact3 -> int1: ({A} & {B}); int1 -> int2: {A}; int2 -> int3: ({A} v {C}); int3 & fact4 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ããããLv.98ã¯èŒžåºåºæ¥ãªã | ¬{F}{e} | fact1: ããããã®ããããLv.98ãæ
ãŸãããªããã®ãã¡ãããLv.81ã¯èŒžåºåºæ¥ã fact2: ãã®ãã¡ãããLv.81ãçèããšãããšãã®ãŸããŸã«ãLv.37ã¯çšé ã fact3: ãã®ãŸããŸã«ãLv.37ã¯çšé ããšãããããã®ã·ãã·ãLv.81ã¯çœªæ·±ãããšããããšã¯çå®ã fact4: ããããã®ã¿ãã¿ã«Lv.23ã茞åºåºæ¥ããèŠããŠã¯æããšããããã®ããããLv.98ã¯èŒžåºåºæ¥ãªã fact5: ãã®ã¿ãã¿ã«Lv.23ã¯èŠããŠã¯æã fact6: ãããã®ãã¡ãããLv.81ãæ
ãŸãããšããã°ããã¯çèã fact7: ãã®ã¿ãã¿ã«Lv.23ãèŠããŠã¯æããšãããšãã®ãã¡ãããLv.81ã¯æ
ãŸãã fact8: ãããã®ã·ãã·ãLv.81ã眪深ããšããã°ãã®ããããLv.98ã¯èŒžåºåºæ¥ã | fact1: {B}{e} -> {F}{b} fact2: {C}{b} -> {D}{c} fact3: {D}{c} -> {E}{d} fact4: ({F}{a} & {A}{a}) -> ¬{F}{e} fact5: {A}{a} fact6: {B}{b} -> {C}{b} fact7: {A}{a} -> {B}{b} fact8: {E}{d} -> {F}{e} | [
"fact7 & fact5 -> int1: ãã®ãã¡ãããLv.81ã¯æ
ãŸãã; int1 & fact6 -> int2: ãã®ãã¡ãããLv.81ã¯çèã; int2 & fact2 -> int3: ãã®ãŸããŸã«ãLv.37ã¯çšé ã; int3 & fact3 -> int4: ãã®ã·ãã·ãLv.81ã¯çœªæ·±ã; int4 & fact8 -> hypothesis;"
] | [
"fact7 & fact5 -> int1: {B}{b}; int1 & fact6 -> int2: {C}{b}; int2 & fact2 -> int3: {D}{c}; int3 & fact3 -> int4: {E}{d}; int4 & fact8 -> hypothesis;"
] | ãã®ããããLv.98ã¯èŒžåºåºæ¥ãªã | ¬{F}{e} | [] | 4 | 5 | 5 | 5 | 5 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããããã®ããããLv.98ãæ
ãŸãããªããã®ãã¡ãããLv.81ã¯èŒžåºåºæ¥ã fact2: ãã®ãã¡ãããLv.81ãçèããšãããšãã®ãŸããŸã«ãLv.37ã¯çšé ã fact3: ãã®ãŸããŸã«ãLv.37ã¯çšé ããšãããããã®ã·ãã·ãLv.81ã¯çœªæ·±ãããšããããšã¯çå®ã fact4: ããããã®ã¿ãã¿ã«Lv.23ã茞åºåºæ¥ããèŠããŠã¯æããšããããã®ããããLv.98ã¯èŒžåºåºæ¥ãªã fact5: ãã®ã¿ãã¿ã«Lv.23ã¯èŠããŠã¯æã fact6: ãããã®ãã¡ãããLv.81ãæ
ãŸãããšããã°ããã¯çèã fact7: ãã®ã¿ãã¿ã«Lv.23ãèŠããŠã¯æããšãããšãã®ãã¡ãããLv.81ã¯æ
ãŸãã fact8: ãããã®ã·ãã·ãLv.81ã眪深ããšããã°ãã®ããããLv.98ã¯èŒžåºåºæ¥ã ; $hypothesis$ = ãã®ããããLv.98ã¯èŒžåºåºæ¥ãªã ; $proof$ = | fact7 & fact5 -> int1: ãã®ãã¡ãããLv.81ã¯æ
ãŸãã; int1 & fact6 -> int2: ãã®ãã¡ãããLv.81ã¯çèã; int2 & fact2 -> int3: ãã®ãŸããŸã«ãLv.37ã¯çšé ã; int3 & fact3 -> int4: ãã®ã·ãã·ãLv.81ã¯çœªæ·±ã; int4 & fact8 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {B}{e} -> {F}{b} fact2: {C}{b} -> {D}{c} fact3: {D}{c} -> {E}{d} fact4: ({F}{a} & {A}{a}) -> ¬{F}{e} fact5: {A}{a} fact6: {B}{b} -> {C}{b} fact7: {A}{a} -> {B}{b} fact8: {E}{d} -> {F}{e} ; $hypothesis$ = ¬{F}{e} ; $proof$ = | fact7 & fact5 -> int1: {B}{b}; int1 & fact6 -> int2: {C}{b}; int2 & fact2 -> int3: {D}{c}; int3 & fact3 -> int4: {E}{d}; int4 & fact8 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŽãªãŽãLv.94ã¯äžå Žãã | {F}{c} | fact1: ãã®ãŸããŸã«ãLv.14ã¯æªãããŠããã«æ«ããã fact2: ããä»®ã«ãã®ã·ã«ãã·ã«Lv.8ãç¥ã
ãããšãããšãã®ã·ã«ãã·ã«Lv.8ã¯ãã©ããã fact3: ä»®ã«ãã®ã·ã«ãã·ã«Lv.8ãéæç¡ããªããã®ã·ã«ãã·ã«Lv.8ã¯ç¥ã
ãã fact4: ãããã®ã·ã«ãã·ã«Lv.8ãæ«ãããã°ãã®ãŸããŸã«ãLv.14ã¯ç¥ã
ãããªã fact5: ãã®ã·ã«ãã·ã«Lv.8ããã©ããããªãã°ãã®ãŽãªãŽãLv.94ã¯äžå Žããªã fact6: ãã®ãŸããŸã«ãLv.14ãäžå Žãããšããããã®ãŽãªãŽãLv.94ã¯äžå Žãã | fact1: ({A}{a} & {B}{a}) fact2: {D}{b} -> {E}{b} fact3: {C}{b} -> {D}{b} fact4: {B}{b} -> ¬{D}{a} fact5: {E}{b} -> ¬{F}{c} fact6: {F}{a} -> {F}{c} | [
"fact1 -> int1: ãã®ãŸããŸã«ãLv.14ã¯æªãã;"
] | [
"fact1 -> int1: {A}{a};"
] | ãã®ãŽãªãŽãLv.94ã¯äžå Žãã | {F}{c} | [] | 5 | 5 | 5 | null | null | 2 | 0 | 2 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãã®ãŸããŸã«ãLv.14ã¯æªãããŠããã«æ«ããã fact2: ããä»®ã«ãã®ã·ã«ãã·ã«Lv.8ãç¥ã
ãããšãããšãã®ã·ã«ãã·ã«Lv.8ã¯ãã©ããã fact3: ä»®ã«ãã®ã·ã«ãã·ã«Lv.8ãéæç¡ããªããã®ã·ã«ãã·ã«Lv.8ã¯ç¥ã
ãã fact4: ãããã®ã·ã«ãã·ã«Lv.8ãæ«ãããã°ãã®ãŸããŸã«ãLv.14ã¯ç¥ã
ãããªã fact5: ãã®ã·ã«ãã·ã«Lv.8ããã©ããããªãã°ãã®ãŽãªãŽãLv.94ã¯äžå Žããªã fact6: ãã®ãŸããŸã«ãLv.14ãäžå Žãããšããããã®ãŽãªãŽãLv.94ã¯äžå Žãã ; $hypothesis$ = ãã®ãŽãªãŽãLv.94ã¯äžå Žãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({A}{a} & {B}{a}) fact2: {D}{b} -> {E}{b} fact3: {C}{b} -> {D}{b} fact4: {B}{b} -> ¬{D}{a} fact5: {E}{b} -> ¬{F}{c} fact6: {F}{a} -> {F}{c} ; $hypothesis$ = {F}{c} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã·ã¡ã
ã·ãLv.95ã¯è¡ããã | {D}{a} | fact1: ããããã®ã·ã¡ã
ã·ãLv.95ãã¢ãããŒã«ããªããšããã°ãã®ãããã«ãLv.22ã¯è¿ãããªã fact2: ãã®ã·ã¡ã
ã·ãLv.95ã¯éããªã fact3: ããã®ã·ã¡ã
ã·ãLv.95ã¯ã¢ãããŒã«ããªãããããã¯æŽ»åãé£ããªãããããã¯äž¡æ¹ã ããšããããšã¯æãç«ããªããªãã°è¡ããããªã fact4: ãããã®ã·ã¡ã
ã·ãLv.95ãè¡ããããªããªãã°ãã®ãããã«ãLv.22ã¯æŽ»åãé£ããªã fact5: ããä»®ã«ãã®ã·ã¡ã
ã·ãLv.95ãã¢ãããŒã«ããªããšããããã®ãããã«ãLv.22ã¯è¿ãã fact6: ãã®ãããã«ãLv.22ã¯è¡ããããªã fact7: ãã®ã·ã¡ã
ã·ãLv.95ã¯è¿ãããšããããšã¯ãªãããããã¯ã¢ãããŒã«ããªããã©ã¡ããã fact8: ä»®ã«ãã®ã·ã¡ã
ã·ãLv.95ã掻åãé£ããªããªããã®ãããã«ãLv.22ã¯è¿ãããªã fact9: ãã®ãããã«ãLv.22ã¯è¿ãã | fact1: ¬{A}{a} -> ¬{C}{c} fact2: ¬{IU}{a} fact3: ¬(¬{A}{a} v ¬{B}{a}) -> ¬{D}{a} fact4: ¬{D}{a} -> ¬{B}{c} fact5: ¬{A}{a} -> {C}{c} fact6: ¬{D}{c} fact7: (¬{C}{a} v ¬{A}{a}) fact8: ¬{B}{a} -> ¬{C}{c} fact9: {C}{c} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ã·ã¡ã
ã·ãLv.95ã¯ã¢ãããŒã«ããªãã掻åãé£ããšããããšã¯ãªãããããã¯äž¡æ¹ãšãã§ãã; assump1 & fact1 & fact8 -> int1: ãã®ãããã«ãLv.22ã¯è¿ãããªã; int1 & fact9 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ããã®ã·ã¡ã
ã·ãLv.95ã¯ã¢ãããŒã«ããªãã掻åãé£ããªãããããã¯äž¡æ¹ã§ããããšããããšã¯äºå®ãšç°ãªã; int3 & fact3 -> hypothesis;"
] | [
"void -> assump1: (¬{A}{a} v ¬{B}{a}); assump1 & fact1 & fact8 -> int1: ¬{C}{c}; int1 & fact9 -> int2: #F#; [assump1] & int2 -> int3: ¬(¬{A}{a} v ¬{B}{a}); int3 & fact3 -> hypothesis;"
] | null | null | [] | null | 5 | 4 | 5 | 4 | 5 | 0 | 5 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ããããã®ã·ã¡ã
ã·ãLv.95ãã¢ãããŒã«ããªããšããã°ãã®ãããã«ãLv.22ã¯è¿ãããªã fact2: ãã®ã·ã¡ã
ã·ãLv.95ã¯éããªã fact3: ããã®ã·ã¡ã
ã·ãLv.95ã¯ã¢ãããŒã«ããªãããããã¯æŽ»åãé£ããªãããããã¯äž¡æ¹ã ããšããããšã¯æãç«ããªããªãã°è¡ããããªã fact4: ãããã®ã·ã¡ã
ã·ãLv.95ãè¡ããããªããªãã°ãã®ãããã«ãLv.22ã¯æŽ»åãé£ããªã fact5: ããä»®ã«ãã®ã·ã¡ã
ã·ãLv.95ãã¢ãããŒã«ããªããšããããã®ãããã«ãLv.22ã¯è¿ãã fact6: ãã®ãããã«ãLv.22ã¯è¡ããããªã fact7: ãã®ã·ã¡ã
ã·ãLv.95ã¯è¿ãããšããããšã¯ãªãããããã¯ã¢ãããŒã«ããªããã©ã¡ããã fact8: ä»®ã«ãã®ã·ã¡ã
ã·ãLv.95ã掻åãé£ããªããªããã®ãããã«ãLv.22ã¯è¿ãããªã fact9: ãã®ãããã«ãLv.22ã¯è¿ãã ; $hypothesis$ = ãã®ã·ã¡ã
ã·ãLv.95ã¯è¡ããã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããã®ã·ã¡ã
ã·ãLv.95ã¯ã¢ãããŒã«ããªãã掻åãé£ããšããããšã¯ãªãããããã¯äž¡æ¹ãšãã§ãã; assump1 & fact1 & fact8 -> int1: ãã®ãããã«ãLv.22ã¯è¿ãããªã; int1 & fact9 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ããã®ã·ã¡ã
ã·ãLv.95ã¯ã¢ãããŒã«ããªãã掻åãé£ããªãããããã¯äž¡æ¹ã§ããããšããããšã¯äºå®ãšç°ãªã; int3 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{A}{a} -> ¬{C}{c} fact2: ¬{IU}{a} fact3: ¬(¬{A}{a} v ¬{B}{a}) -> ¬{D}{a} fact4: ¬{D}{a} -> ¬{B}{c} fact5: ¬{A}{a} -> {C}{c} fact6: ¬{D}{c} fact7: (¬{C}{a} v ¬{A}{a}) fact8: ¬{B}{a} -> ¬{C}{c} fact9: {C}{c} ; $hypothesis$ = {D}{a} ; $proof$ = | void -> assump1: (¬{A}{a} v ¬{B}{a}); assump1 & fact1 & fact8 -> int1: ¬{C}{c}; int1 & fact9 -> int2: #F#; [assump1] & int2 -> int3: ¬(¬{A}{a} v ¬{B}{a}); int3 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | ãŸã«ãŸãLv.89äºä»¶ã¯çºçããªã | ¬{A} | fact1: ãŸã«ãŸãLv.89äºä»¶ã¯ãèµ·ãé£ããšããããšã¯èµ·ããªããããããŽã®ãŽã¡ã
Lv.21äºä»¶ãèµ·ããããšããããšã«ç±æ¥ãã fact2: ãŸã«ãŸãLv.89äºä»¶ããã³ãŽã®ãŽã¡ã
Lv.21äºä»¶ãèµ·ããã¯èµ·ãé£ããšããããšãåé¿ãã fact3: ãã¿ãã¿ã«ãLv.98äºä»¶ããã³ãœã¡ã
ãœã«ãLv.18äºä»¶ã©ã¡ãããçããããšããããšã¯åºããæããšããããšãé²ã fact4: èµ·ãé£ããšããããšãçºçãã | fact1: (¬{C} & {B}) -> {A} fact2: ({A} & {B}) -> ¬{C} fact3: ({EJ} & {GL}) -> ¬{GT} fact4: {C} | [] | [] | 以äžã®ããã«ä»®å®ããããŸã«ãŸãLv.89äºä»¶ãçºçãã | {A} | [] | 6 | 5 | 4 | null | null | 2 | 0 | 2 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãŸã«ãŸãLv.89äºä»¶ã¯ãèµ·ãé£ããšããããšã¯èµ·ããªããããããŽã®ãŽã¡ã
Lv.21äºä»¶ãèµ·ããããšããããšã«ç±æ¥ãã fact2: ãŸã«ãŸãLv.89äºä»¶ããã³ãŽã®ãŽã¡ã
Lv.21äºä»¶ãèµ·ããã¯èµ·ãé£ããšããããšãåé¿ãã fact3: ãã¿ãã¿ã«ãLv.98äºä»¶ããã³ãœã¡ã
ãœã«ãLv.18äºä»¶ã©ã¡ãããçããããšããããšã¯åºããæããšããããšãé²ã fact4: èµ·ãé£ããšããããšãçºçãã ; $hypothesis$ = ãŸã«ãŸãLv.89äºä»¶ã¯çºçããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (¬{C} & {B}) -> {A} fact2: ({A} & {B}) -> ¬{C} fact3: ({EJ} & {GL}) -> ¬{GT} fact4: {C} ; $hypothesis$ = ¬{A} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã¿ãã¿ã¡ãLv.51äºä»¶ãçºçããªããããã«åäŒåºæ¥ãããšã¯çºçããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã | ¬(¬{A} & ¬{C}) | fact1: ããŸã«ããŸã«ã
Lv.31äºä»¶ããã³ãŽããŽã¡ãLv.69äºä»¶ãèµ·ããããšããããšã¯æãç«ããªããšããã°ãŸã«ããŸã«ã
Lv.31äºä»¶ã¯èµ·ããªã fact2: åŸæããããšã¯èµ·ãããªããšãããããŸã«ããŸã«ã
Lv.31äºä»¶ãèµ·ããããŸããŽããŽã¡ãLv.69äºä»¶ãçããããšããããšã¯èª€ã£ãŠãã fact3: ãã¿ãã¿ã¡ãLv.51äºä»¶ãçºçããããšããããšã¯ãŽããŽã¡ãLv.69äºä»¶ã¯çããªããšããããšãé²ã fact4: ãœããœã«Lv.22äºä»¶ã¯çºçããªã fact5: ã·ãã·ãLv.97äºä»¶ã¯çããªã fact6: åäŒåºæ¥ãããšã¯çããªã | fact1: ¬({HJ} & {B}) -> ¬{HJ} fact2: ¬{D} -> ¬({HJ} & {B}) fact3: {A} -> {B} fact4: ¬{ED} fact5: ¬{IF} fact6: ¬{C} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããã¿ãã¿ã¡ãLv.51äºä»¶ãçãã; fact3 & assump1 -> int1: ãŽããŽã¡ãLv.69äºä»¶ãèµ·ãã;"
] | [
"void -> assump1: {A}; fact3 & assump1 -> int1: {B};"
] | ãŸã«ããŸã«ã
Lv.31äºä»¶ãèµ·ããªãããã€ãããã¡ãLv.80äºä»¶ã¯çºçããªã | (¬{HJ} & ¬{HN}) | [] | 4 | 5 | 4 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããŸã«ããŸã«ã
Lv.31äºä»¶ããã³ãŽããŽã¡ãLv.69äºä»¶ãèµ·ããããšããããšã¯æãç«ããªããšããã°ãŸã«ããŸã«ã
Lv.31äºä»¶ã¯èµ·ããªã fact2: åŸæããããšã¯èµ·ãããªããšãããããŸã«ããŸã«ã
Lv.31äºä»¶ãèµ·ããããŸããŽããŽã¡ãLv.69äºä»¶ãçããããšããããšã¯èª€ã£ãŠãã fact3: ãã¿ãã¿ã¡ãLv.51äºä»¶ãçºçããããšããããšã¯ãŽããŽã¡ãLv.69äºä»¶ã¯çããªããšããããšãé²ã fact4: ãœããœã«Lv.22äºä»¶ã¯çºçããªã fact5: ã·ãã·ãLv.97äºä»¶ã¯çããªã fact6: åäŒåºæ¥ãããšã¯çããªã ; $hypothesis$ = ãã¿ãã¿ã¡ãLv.51äºä»¶ãçºçããªããããã«åäŒåºæ¥ãããšã¯çºçããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬({HJ} & {B}) -> ¬{HJ} fact2: ¬{D} -> ¬({HJ} & {B}) fact3: {A} -> {B} fact4: ¬{ED} fact5: ¬{IF} fact6: ¬{C} ; $hypothesis$ = ¬(¬{A} & ¬{C}) ; $proof$ = | __UNKNOWN__ |
0.3 | ããããä»®ã«ããã®ãœããœãLv.69ã¯çãæããªãããšããããšã¯æãç«ã€ãšãããããã®ãœããœãLv.69ã¯ãããŸãããªããæ±èãããšããããšã¯èª€ãã§ããããšããããšã¯çå®ã§ããããšããããšã¯ééãã | ¬(¬{B}{aa} -> ¬(¬{D}{aa} & {A}{aa})) | fact1: ãªãããã®ã¢ã³ã¹ã¿ãŒãçãæããªããªãã°ããæ°ç¡ããªã fact2: ããä»®ã«ããã®ãœããœãLv.69ã¯ããæ°ç¡ããšããããšã¯ãªãããšããããšã¯æãç«ã€ãªããããã¯ãããŸãããšããããšã¯ãªããæ±èãããšããããšã¯ééãã | fact1: (x): ¬{B}x -> ¬{C}x fact2: ¬{C}{aa} -> ¬(¬{D}{aa} & {A}{aa}) | [
"fact1 -> int1: ããããã®ãœããœãLv.69ãçãæããªããªãããã¯ããæ°ç¡ããªã; void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãœããœãLv.69ã¯çãæããªã; int1 & assump1 -> int2: ãã®ãœããœãLv.69ã¯ããæ°ç¡ããªã; int2 & fact2 -> int3: ããã®ãœããœãLv.69ã¯ãããŸãããªãããããæ±èãããšããããšã¯ééã£ãŠãã; [assump1] & int3 -> hypothesis;"
] | [
"fact1 -> int1: ¬{B}{aa} -> ¬{C}{aa}; void -> assump1: ¬{B}{aa}; int1 & assump1 -> int2: ¬{C}{aa}; int2 & fact2 -> int3: ¬(¬{D}{aa} & {A}{aa}); [assump1] & int3 -> hypothesis;"
] | null | null | [] | null | 5 | 4 | 5 | 4 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãªãããã®ã¢ã³ã¹ã¿ãŒãçãæããªããªãã°ããæ°ç¡ããªã fact2: ããä»®ã«ããã®ãœããœãLv.69ã¯ããæ°ç¡ããšããããšã¯ãªãããšããããšã¯æãç«ã€ãªããããã¯ãããŸãããšããããšã¯ãªããæ±èãããšããããšã¯ééãã ; $hypothesis$ = ããããä»®ã«ããã®ãœããœãLv.69ã¯çãæããªãããšããããšã¯æãç«ã€ãšãããããã®ãœããœãLv.69ã¯ãããŸãããªããæ±èãããšããããšã¯èª€ãã§ããããšããããšã¯çå®ã§ããããšããããšã¯ééãã ; $proof$ = | fact1 -> int1: ããããã®ãœããœãLv.69ãçãæããªããªãããã¯ããæ°ç¡ããªã; void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãœããœãLv.69ã¯çãæããªã; int1 & assump1 -> int2: ãã®ãœããœãLv.69ã¯ããæ°ç¡ããªã; int2 & fact2 -> int3: ããã®ãœããœãLv.69ã¯ãããŸãããªãããããæ±èãããšããããšã¯ééã£ãŠãã; [assump1] & int3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ¬{B}x -> ¬{C}x fact2: ¬{C}{aa} -> ¬(¬{D}{aa} & {A}{aa}) ; $hypothesis$ = ¬(¬{B}{aa} -> ¬(¬{D}{aa} & {A}{aa})) ; $proof$ = | fact1 -> int1: ¬{B}{aa} -> ¬{C}{aa}; void -> assump1: ¬{B}{aa}; int1 & assump1 -> int2: ¬{C}{aa}; int2 & fact2 -> int3: ¬(¬{D}{aa} & {A}{aa}); [assump1] & int3 -> hypothesis; __DISPROVED__ |
0.3 | æããããšããããšãèµ·ãã | {F} | fact1: ãä»®ã«ãœã«ã
ãœã«ãLv.72äºä»¶ã¯èµ·ããªããšãããšããããã«ãLv.18äºä»¶ãšäœæ¥ãæããšããããšäž¡æ¹ãšããèµ·ããããšããããšã¯æ¬åœã ãšããããšã¯ãªãããšããããšã¯èª€ã£ãŠããªã fact2: ãœã«ã
ãœã«ãLv.72äºä»¶ã¯ã転ã³æããšããããšãèµ·ãããçã
ãããšããããšãçããããšããããšã«é²ããã fact3: çã
ãããšããããšãçºçãã fact4: 転ã³æããšããããšãèµ·ãã fact5: æããããšããããšããã³è»¢ã³æããšããããšãèµ·ããã¯çã
ãããšããããšã¯èµ·ããªããšããããšã«ããçãã fact6: ãããããããã«ãLv.18äºä»¶ãçºçãããäœæ¥ãæããšããããšãèµ·ããããšããããšã¯èª€ãã ãšãããæããããšããããšã¯çããªã fact7: æ¿ãããšããããšã¯çããªã fact8: äœæ¥ãæããšããããšã¯èµ·ãããªããšããããšã¯ãæããããšããããšã¯èµ·ããªãããšããããšã«åž°çµãã | fact1: ¬{C} -> ¬({E} & {D}) fact2: ({A} & {B}) -> ¬{C} fact3: {B} fact4: {A} fact5: ¬{B} -> ({F} & {A}) fact6: ¬({E} & {D}) -> ¬{F} fact7: ¬{K} fact8: ¬{D} -> ¬{F} | [
"fact4 & fact3 -> int1: 転ã³æããšããããšãšçã
ãããšããããšäž¡æ¹ãšããèµ·ãã; int1 & fact2 -> int2: ãœã«ã
ãœã«ãLv.72äºä»¶ã¯èµ·ãããªã; int2 & fact1 -> int3: ããããã«ãLv.18äºä»¶ãçãããäœæ¥ãæããšããããšãçºçããããšããããšã¯èª€ãã§ãã; int3 & fact6 -> hypothesis;"
] | [
"fact4 & fact3 -> int1: ({A} & {B}); int1 & fact2 -> int2: ¬{C}; int2 & fact1 -> int3: ¬({E} & {D}); int3 & fact6 -> hypothesis;"
] | æããããšããããšãèµ·ãã | {F} | [] | 6 | 4 | 4 | 4 | 4 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãä»®ã«ãœã«ã
ãœã«ãLv.72äºä»¶ã¯èµ·ããªããšãããšããããã«ãLv.18äºä»¶ãšäœæ¥ãæããšããããšäž¡æ¹ãšããèµ·ããããšããããšã¯æ¬åœã ãšããããšã¯ãªãããšããããšã¯èª€ã£ãŠããªã fact2: ãœã«ã
ãœã«ãLv.72äºä»¶ã¯ã転ã³æããšããããšãèµ·ãããçã
ãããšããããšãçããããšããããšã«é²ããã fact3: çã
ãããšããããšãçºçãã fact4: 転ã³æããšããããšãèµ·ãã fact5: æããããšããããšããã³è»¢ã³æããšããããšãèµ·ããã¯çã
ãããšããããšã¯èµ·ããªããšããããšã«ããçãã fact6: ãããããããã«ãLv.18äºä»¶ãçºçãããäœæ¥ãæããšããããšãèµ·ããããšããããšã¯èª€ãã ãšãããæããããšããããšã¯çããªã fact7: æ¿ãããšããããšã¯çããªã fact8: äœæ¥ãæããšããããšã¯èµ·ãããªããšããããšã¯ãæããããšããããšã¯èµ·ããªãããšããããšã«åž°çµãã ; $hypothesis$ = æããããšããããšãèµ·ãã ; $proof$ = | fact4 & fact3 -> int1: 転ã³æããšããããšãšçã
ãããšããããšäž¡æ¹ãšããèµ·ãã; int1 & fact2 -> int2: ãœã«ã
ãœã«ãLv.72äºä»¶ã¯èµ·ãããªã; int2 & fact1 -> int3: ããããã«ãLv.18äºä»¶ãçãããäœæ¥ãæããšããããšãçºçããããšããããšã¯èª€ãã§ãã; int3 & fact6 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{C} -> ¬({E} & {D}) fact2: ({A} & {B}) -> ¬{C} fact3: {B} fact4: {A} fact5: ¬{B} -> ({F} & {A}) fact6: ¬({E} & {D}) -> ¬{F} fact7: ¬{K} fact8: ¬{D} -> ¬{F} ; $hypothesis$ = {F} ; $proof$ = | fact4 & fact3 -> int1: ({A} & {B}); int1 & fact2 -> int2: ¬{C}; int2 & fact1 -> int3: ¬({E} & {D}); int3 & fact6 -> hypothesis; __DISPROVED__ |
0.3 | 以äžã®ããã«ä»®å®ãããæ²¹ã£ãœããšããããšãèµ·ãã | {A} | fact1: ãã¡ããã«ãLv.81äºä»¶ã¯èµ·ãããªããšããããšã¯æ²¹ã£ãœããšããããšãšç©åãŸãããšããããšãèµ·ããã«èµ·å ãã fact2: ç©åãŸãããšããããšã¯èµ·ããªããšããããšã¯æ²¹ã£ãœããšããããšã«åž°çµãã fact3: ãã¡ããã«ãLv.81äºä»¶ãçãã fact4: ããããéçšããããšã§ã¯ãªãæµ®ãæããšããããšãçºçããããšããããšã¯èª€ããªãã°ãŽã«ããŽã¡ã
Lv.84äºä»¶ã¯çããªã fact5: ç¥æããããšã¯ãã·ãªã·ãªLv.76äºä»¶ã¯èµ·ããªãããšããããšãåé¿ãã fact6: ãããã·ãªã·ãªLv.76äºä»¶ãçãããšããããéçšããããšãçããªããæµ®ãæããšããããšã¯çºçããããšããããšã¯åã§ãã fact7: ä»®ã«ãŽã«ããŽã¡ã
Lv.84äºä»¶ãçãããªããã¡ããã«ãLv.81äºä»¶ã¯çããªããããã«ç©åãŸãããšããããšã¯çããªã fact8: ç©åãŸãããšããããšãçãã | fact1: ({A} & {B}) -> ¬{C} fact2: ¬{B} -> {A} fact3: {C} fact4: ¬(¬{E} & {F}) -> ¬{D} fact5: {H} -> {G} fact6: {G} -> ¬(¬{E} & {F}) fact7: {D} -> (¬{C} & ¬{B}) fact8: {B} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããæ²¹ã£ãœããšããããšãèµ·ãã; assump1 & fact8 -> int1: æ²¹ã£ãœããšããããšãçãããç©åãŸãããšããããšãèµ·ãã; int1 & fact1 -> int2: ãã¡ããã«ãLv.81äºä»¶ã¯èµ·ããªã; int2 & fact3 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: {A}; assump1 & fact8 -> int1: ({A} & {B}); int1 & fact1 -> int2: ¬{C}; int2 & fact3 -> int3: #F#; [assump1] & int3 -> hypothesis;"
] | ãœããœãLv.79äºä»¶ã¯çããªã | ¬{FN} | [] | 6 | 5 | 4 | 5 | 4 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã¡ããã«ãLv.81äºä»¶ã¯èµ·ãããªããšããããšã¯æ²¹ã£ãœããšããããšãšç©åãŸãããšããããšãèµ·ããã«èµ·å ãã fact2: ç©åãŸãããšããããšã¯èµ·ããªããšããããšã¯æ²¹ã£ãœããšããããšã«åž°çµãã fact3: ãã¡ããã«ãLv.81äºä»¶ãçãã fact4: ããããéçšããããšã§ã¯ãªãæµ®ãæããšããããšãçºçããããšããããšã¯èª€ããªãã°ãŽã«ããŽã¡ã
Lv.84äºä»¶ã¯çããªã fact5: ç¥æããããšã¯ãã·ãªã·ãªLv.76äºä»¶ã¯èµ·ããªãããšããããšãåé¿ãã fact6: ãããã·ãªã·ãªLv.76äºä»¶ãçãããšããããéçšããããšãçããªããæµ®ãæããšããããšã¯çºçããããšããããšã¯åã§ãã fact7: ä»®ã«ãŽã«ããŽã¡ã
Lv.84äºä»¶ãçãããªããã¡ããã«ãLv.81äºä»¶ã¯çããªããããã«ç©åãŸãããšããããšã¯çããªã fact8: ç©åãŸãããšããããšãçãã ; $hypothesis$ = 以äžã®ããã«ä»®å®ãããæ²¹ã£ãœããšããããšãèµ·ãã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ãããæ²¹ã£ãœããšããããšãèµ·ãã; assump1 & fact8 -> int1: æ²¹ã£ãœããšããããšãçãããç©åãŸãããšããããšãèµ·ãã; int1 & fact1 -> int2: ãã¡ããã«ãLv.81äºä»¶ã¯èµ·ããªã; int2 & fact3 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({A} & {B}) -> ¬{C} fact2: ¬{B} -> {A} fact3: {C} fact4: ¬(¬{E} & {F}) -> ¬{D} fact5: {H} -> {G} fact6: {G} -> ¬(¬{E} & {F}) fact7: {D} -> (¬{C} & ¬{B}) fact8: {B} ; $hypothesis$ = {A} ; $proof$ = | void -> assump1: {A}; assump1 & fact8 -> int1: ({A} & {B}); int1 & fact1 -> int2: ¬{C}; int2 & fact3 -> int3: #F#; [assump1] & int3 -> hypothesis; __DISPROVED__ |
0.3 | ç²ã匷ããšããããšã¯èµ·ãããªã | ¬{D} | fact1: ãããããã¡ãLv.30äºä»¶ãèµ·ããªããšããã°çºçãæããšããããšã¯çºçããããããé»ããšããããšãèµ·ãã fact2: ãçºçãæããšããããšãæ·ã¿ç¡ããšããããšããããã¯ã©ã¡ãããèµ·ããããšããããšã¯ç²ã匷ããšããããšãé»ã fact3: ãããã¡ãLv.30äºä»¶ã¯èµ·ãããªã | fact1: ¬{E} -> ({A} & {B}) fact2: ({A} v {C}) -> ¬{D} fact3: ¬{E} | [
"fact3 & fact1 -> int1: çºçãæããšããããšãèµ·ããããã®äžé»ããšããããšãèµ·ãã; int1 -> int2: çºçãæããšããããšãçºçãã; int2 -> int3: çºçãæããšããããšãçãããæ·ã¿ç¡ããšããããšãçºçããããããã¯äž¡æ¹ã ; int3 & fact2 -> hypothesis;"
] | [
"fact3 & fact1 -> int1: ({A} & {B}); int1 -> int2: {A}; int2 -> int3: ({A} v {C}); int3 & fact2 -> hypothesis;"
] | null | null | [] | null | 4 | 4 | 4 | 4 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ãããããã¡ãLv.30äºä»¶ãèµ·ããªããšããã°çºçãæããšããããšã¯çºçããããããé»ããšããããšãèµ·ãã fact2: ãçºçãæããšããããšãæ·ã¿ç¡ããšããããšããããã¯ã©ã¡ãããèµ·ããããšããããšã¯ç²ã匷ããšããããšãé»ã fact3: ãããã¡ãLv.30äºä»¶ã¯èµ·ãããªã ; $hypothesis$ = ç²ã匷ããšããããšã¯èµ·ãããªã ; $proof$ = | fact3 & fact1 -> int1: çºçãæããšããããšãèµ·ããããã®äžé»ããšããããšãèµ·ãã; int1 -> int2: çºçãæããšããããšãçºçãã; int2 -> int3: çºçãæããšããããšãçãããæ·ã¿ç¡ããšããããšãçºçããããããã¯äž¡æ¹ã ; int3 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{E} -> ({A} & {B}) fact2: ({A} v {C}) -> ¬{D} fact3: ¬{E} ; $hypothesis$ = ¬{D} ; $proof$ = | fact3 & fact1 -> int1: ({A} & {B}); int1 -> int2: {A}; int2 -> int3: ({A} v {C}); int3 & fact2 -> hypothesis; __PROVED__ |
0.3 | å²ãæããšããããšã¯çºçããªã | ¬{A} | fact1: ãå²ãæããšããããšãèµ·ããããšããããšããããã¯ã¿ã¡ãã¿ãLv.68äºä»¶ã¯æ¬²æ·±ããšããããšã¯çããªããšããããšã®åå ãšãªã | fact1: ({A} v {B}) -> ¬{C} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããå²ãæããšããããšãçãã; assump1 -> int1: å²ãæããšããããšã¯çºçããããããã¯ã¿ã¡ãã¿ãLv.68äºä»¶ã¯çºçãã; int1 & fact1 -> int2: 欲深ããšããããšã¯èµ·ããªã;"
] | [
"void -> assump1: {A}; assump1 -> int1: ({A} v {B}); int1 & fact1 -> int2: ¬{C};"
] | null | null | [] | null | 5 | 3 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãå²ãæããšããããšãèµ·ããããšããããšããããã¯ã¿ã¡ãã¿ãLv.68äºä»¶ã¯æ¬²æ·±ããšããããšã¯çããªããšããããšã®åå ãšãªã ; $hypothesis$ = å²ãæããšããããšã¯çºçããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({A} v {B}) -> ¬{C} ; $hypothesis$ = ¬{A} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãœã¡ã
ãœã«ã
Lv.18ã¯ææŠãã | {C}{a} | fact1: ãããããã¢ã³ã¹ã¿ãŒãæµ
ããªããªãããã¯ææŠãããããã¯èãæã fact2: ãã®ã¿ãã¿ãLv.70ã¯åŽ©ãæããªã fact3: ãã®ãœã¡ã
ãœã«ã
Lv.18ã¯èãæã fact4: ä»®ã«ãã®ã¿ãªã¿ãLv.68ãèµ·ããæããçãŸãå€ãããšããããšã¯ãªãããããã¯äž¡æ¹ã ãšããããã®ã·ãªã·ãLv.37ã¯èµ·ããæããªã fact5: 厩ãæããªãã¢ã³ã¹ã¿ãŒã¯åãæããŠèãæã fact6: ãããã®ã·ãªã·ãLv.37ãèµ·ããæããªããšããããã®ãœã¡ã
ãœã«ã
Lv.18ã¯æµ
ããªããŠå ããŠããã¯åŽ©ãæããªã fact7: ãã®ãœã¡ã
ãœã«ã
Lv.18ã¯æµ
ã fact8: ããã®ãœã¡ã
ãœã«ã
Lv.18ã¯èãæãããããæµ
ãããšããããšã¯ç¢ºãã§ãããšãããããã¯ææŠããªã | fact1: (x): ¬{B}x -> ({C}x & {A}x) fact2: ¬{D}{jf} fact3: {A}{a} fact4: ({E}{c} v ¬{G}{c}) -> ¬{E}{b} fact5: (x): ¬{D}x -> ({IO}x & {A}x) fact6: ¬{E}{b} -> (¬{B}{a} & ¬{D}{a}) fact7: {B}{a} fact8: ({A}{a} & {B}{a}) -> ¬{C}{a} | [
"fact3 & fact7 -> int1: ãã®ãœã¡ã
ãœã«ã
Lv.18ãèãæãããã®äžããã¯æµ
ã; int1 & fact8 -> hypothesis;"
] | [
"fact3 & fact7 -> int1: ({A}{a} & {B}{a}); int1 & fact8 -> hypothesis;"
] | ãã®ãœã¡ã
ãœã«ã
Lv.18ã¯ææŠãã | {C}{a} | [
"fact9 -> int2: ãããã®ãœã¡ã
ãœã«ã
Lv.18ãæµ
ããªããšãããææŠãããèãæã;"
] | 7 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãããããã¢ã³ã¹ã¿ãŒãæµ
ããªããªãããã¯ææŠãããããã¯èãæã fact2: ãã®ã¿ãã¿ãLv.70ã¯åŽ©ãæããªã fact3: ãã®ãœã¡ã
ãœã«ã
Lv.18ã¯èãæã fact4: ä»®ã«ãã®ã¿ãªã¿ãLv.68ãèµ·ããæããçãŸãå€ãããšããããšã¯ãªãããããã¯äž¡æ¹ã ãšããããã®ã·ãªã·ãLv.37ã¯èµ·ããæããªã fact5: 厩ãæããªãã¢ã³ã¹ã¿ãŒã¯åãæããŠèãæã fact6: ãããã®ã·ãªã·ãLv.37ãèµ·ããæããªããšããããã®ãœã¡ã
ãœã«ã
Lv.18ã¯æµ
ããªããŠå ããŠããã¯åŽ©ãæããªã fact7: ãã®ãœã¡ã
ãœã«ã
Lv.18ã¯æµ
ã fact8: ããã®ãœã¡ã
ãœã«ã
Lv.18ã¯èãæãããããæµ
ãããšããããšã¯ç¢ºãã§ãããšãããããã¯ææŠããªã ; $hypothesis$ = ãã®ãœã¡ã
ãœã«ã
Lv.18ã¯ææŠãã ; $proof$ = | fact3 & fact7 -> int1: ãã®ãœã¡ã
ãœã«ã
Lv.18ãèãæãããã®äžããã¯æµ
ã; int1 & fact8 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ¬{B}x -> ({C}x & {A}x) fact2: ¬{D}{jf} fact3: {A}{a} fact4: ({E}{c} v ¬{G}{c}) -> ¬{E}{b} fact5: (x): ¬{D}x -> ({IO}x & {A}x) fact6: ¬{E}{b} -> (¬{B}{a} & ¬{D}{a}) fact7: {B}{a} fact8: ({A}{a} & {B}{a}) -> ¬{C}{a} ; $hypothesis$ = {C}{a} ; $proof$ = | fact3 & fact7 -> int1: ({A}{a} & {B}{a}); int1 & fact8 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŽãªãŽãLv.91ã¯èŠªããã | {E}{b} | fact1: ããããã£ãœããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒã¯åŸ¡æ§ãç¡ããŠãã€èŠªãããããšããããšã¯åœã§ãªã fact2: ãããã®ãã®ããªLv.75ãåºå¥ãæããšããã°æ¯èŒãé£ã fact3: ä»®ã«ãã®ã¿ãªã¿ãLv.26ãèšæž¬ã»èšç®ããããã€åŠæ€ããšããããã®ãŽãªãŽãLv.91ã¯èŠªããããªã fact4: ãã®ã¿ãªã¿ãLv.26ã¯åŠæ€ã fact5: ä»®ã«ããã®ã¿ãªã¿ãLv.26ã¯ãããã£ãœãããšããããšã¯åœã§ãªããšãããèšæž¬ã»èšç®ãã fact6: ãã®ã¿ãªã¿ãLv.26ã¯åŸ¡æ§ãç¡ããŠããã¯ãããã£ãœã | fact1: (x): ¬{B}x -> ({A}x & {E}x) fact2: {IA}{hh} -> {DI}{hh} fact3: ({C}{a} & {D}{a}) -> ¬{E}{b} fact4: {D}{a} fact5: {B}{a} -> {C}{a} fact6: ({A}{a} & {B}{a}) | [
"fact6 -> int1: ãã®ã¿ãªã¿ãLv.26ã¯ãããã£ãœã; int1 & fact5 -> int2: ãã®ã¿ãªã¿ãLv.26ã¯èšæž¬ã»èšç®ãã; int2 & fact4 -> int3: ãã®ã¿ãªã¿ãLv.26ã¯èšæž¬ã»èšç®ãããåŠæ€ã; int3 & fact3 -> hypothesis;"
] | [
"fact6 -> int1: {B}{a}; int1 & fact5 -> int2: {C}{a}; int2 & fact4 -> int3: ({C}{a} & {D}{a}); int3 & fact3 -> hypothesis;"
] | ãã®ãŽãªãŽãLv.91ã¯èŠªããã | {E}{b} | [
"fact7 -> int4: ä»®ã«ãã®ãŽãªãŽãLv.91ã¯ãããã£ãœããªããšããããã®ãŽãªãŽãLv.91ã¯åŸ¡æ§ãç¡ããŠèŠªããã;"
] | 5 | 4 | 4 | 4 | 4 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããããã£ãœããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒã¯åŸ¡æ§ãç¡ããŠãã€èŠªãããããšããããšã¯åœã§ãªã fact2: ãããã®ãã®ããªLv.75ãåºå¥ãæããšããã°æ¯èŒãé£ã fact3: ä»®ã«ãã®ã¿ãªã¿ãLv.26ãèšæž¬ã»èšç®ããããã€åŠæ€ããšããããã®ãŽãªãŽãLv.91ã¯èŠªããããªã fact4: ãã®ã¿ãªã¿ãLv.26ã¯åŠæ€ã fact5: ä»®ã«ããã®ã¿ãªã¿ãLv.26ã¯ãããã£ãœãããšããããšã¯åœã§ãªããšãããèšæž¬ã»èšç®ãã fact6: ãã®ã¿ãªã¿ãLv.26ã¯åŸ¡æ§ãç¡ããŠããã¯ãããã£ãœã ; $hypothesis$ = ãã®ãŽãªãŽãLv.91ã¯èŠªããã ; $proof$ = | fact6 -> int1: ãã®ã¿ãªã¿ãLv.26ã¯ãããã£ãœã; int1 & fact5 -> int2: ãã®ã¿ãªã¿ãLv.26ã¯èšæž¬ã»èšç®ãã; int2 & fact4 -> int3: ãã®ã¿ãªã¿ãLv.26ã¯èšæž¬ã»èšç®ãããåŠæ€ã; int3 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ¬{B}x -> ({A}x & {E}x) fact2: {IA}{hh} -> {DI}{hh} fact3: ({C}{a} & {D}{a}) -> ¬{E}{b} fact4: {D}{a} fact5: {B}{a} -> {C}{a} fact6: ({A}{a} & {B}{a}) ; $hypothesis$ = {E}{b} ; $proof$ = | fact6 -> int1: {B}{a}; int1 & fact5 -> int2: {C}{a}; int2 & fact4 -> int3: ({C}{a} & {D}{a}); int3 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | ãã¿ãã¿ãLv.40äºä»¶ãèµ·ãããæ¯ã
ãããšããããšãçããããããã¯ã©ã¡ããã ããšããããšã¯æãç«ããªã | ¬({A} v {B}) | fact1: è»äººããããšããããšã¯èµ·ãããªããšãããããã¿ãã¿ãLv.40äºä»¶ãæ¯ã
ãããšããããšãçããããšããããšã¯ç¢ºãã§ããããšããããšã¯èª€ãã fact2: ã¿ãã¿ãLv.40äºä»¶ãèµ·ãã | fact1: ¬{C} -> ¬({A} v {B}) fact2: {A} | [
"fact2 -> int1: ã¿ãã¿ãLv.40äºä»¶ãèµ·ãã; int1 -> hypothesis;"
] | [
"fact2 -> int1: {A}; int1 -> hypothesis;"
] | ãã¿ãã¿ãLv.40äºä»¶ãèµ·ãããæ¯ã
ãããšããããšãçããããããã¯ã©ã¡ããã ããšããããšã¯æãç«ããªã | ¬({A} v {B}) | [] | 6 | 2 | 2 | 2 | 2 | 1 | 0 | 1 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: è»äººããããšããããšã¯èµ·ãããªããšãããããã¿ãã¿ãLv.40äºä»¶ãæ¯ã
ãããšããããšãçããããšããããšã¯ç¢ºãã§ããããšããããšã¯èª€ãã fact2: ã¿ãã¿ãLv.40äºä»¶ãèµ·ãã ; $hypothesis$ = ãã¿ãã¿ãLv.40äºä»¶ãèµ·ãããæ¯ã
ãããšããããšãçããããããã¯ã©ã¡ããã ããšããããšã¯æãç«ããªã ; $proof$ = | fact2 -> int1: ã¿ãã¿ãLv.40äºä»¶ãèµ·ãã; int1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{C} -> ¬({A} v {B}) fact2: {A} ; $hypothesis$ = ¬({A} v {B}) ; $proof$ = | fact2 -> int1: {A}; int1 -> hypothesis; __DISPROVED__ |
0.3 | 以äžã®ããã«ä»®å®ããããã®ã·ãã·ãLv.99ã¯è¥ã | {A}{a} | fact1: ãããããã®ã·ãã·ãLv.99ã¯è¥ããå解ããé£ãããããã¯äž¡æ¹ã§ããããšããããšã¯æãç«ã€ãªããã®ã·ãã·ãLv.99ã¯ç¡æé
åžãããšããããšã¯ãªã fact2: ãã®ãã®ããLv.6ã¯ç¡æé
åžããªã fact3: ãã®ã·ãã·ãLv.99ã¯æšããã fact4: ããããã®ãœã«ãœãLv.81ãå解ããé£ããªãã°ãã®ã·ãã·ãLv.99ã¯è¥ã fact5: ãã®ã·ãã·ãLv.99ã¯ç¡æé
åžãã | fact1: ({A}{a} v {B}{a}) -> ¬{C}{a} fact2: ¬{C}{jh} fact3: {DQ}{a} fact4: {B}{b} -> {A}{a} fact5: {C}{a} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ã·ãã·ãLv.99ã¯è¥ã; assump1 -> int1: ãã®ã·ãã·ãLv.99ã¯è¥ãããããã¯ããã¯å解ããé£ããäž¡æ¹ãšãã§ãã; int1 & fact1 -> int2: ãã®ã·ãã·ãLv.99ã¯ç¡æé
åžããªã; int2 & fact5 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: {A}{a}; assump1 -> int1: ({A}{a} v {B}{a}); int1 & fact1 -> int2: ¬{C}{a}; int2 & fact5 -> int3: #F#; [assump1] & int3 -> hypothesis;"
] | 以äžã®ããã«ä»®å®ããããã®ã·ãã·ãLv.99ã¯è¥ã | {A}{a} | [] | 5 | 5 | 3 | 5 | 3 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãããããã®ã·ãã·ãLv.99ã¯è¥ããå解ããé£ãããããã¯äž¡æ¹ã§ããããšããããšã¯æãç«ã€ãªããã®ã·ãã·ãLv.99ã¯ç¡æé
åžãããšããããšã¯ãªã fact2: ãã®ãã®ããLv.6ã¯ç¡æé
åžããªã fact3: ãã®ã·ãã·ãLv.99ã¯æšããã fact4: ããããã®ãœã«ãœãLv.81ãå解ããé£ããªãã°ãã®ã·ãã·ãLv.99ã¯è¥ã fact5: ãã®ã·ãã·ãLv.99ã¯ç¡æé
åžãã ; $hypothesis$ = 以äžã®ããã«ä»®å®ããããã®ã·ãã·ãLv.99ã¯è¥ã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããã®ã·ãã·ãLv.99ã¯è¥ã; assump1 -> int1: ãã®ã·ãã·ãLv.99ã¯è¥ãããããã¯ããã¯å解ããé£ããäž¡æ¹ãšãã§ãã; int1 & fact1 -> int2: ãã®ã·ãã·ãLv.99ã¯ç¡æé
åžããªã; int2 & fact5 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({A}{a} v {B}{a}) -> ¬{C}{a} fact2: ¬{C}{jh} fact3: {DQ}{a} fact4: {B}{b} -> {A}{a} fact5: {C}{a} ; $hypothesis$ = {A}{a} ; $proof$ = | void -> assump1: {A}{a}; assump1 -> int1: ({A}{a} v {B}{a}); int1 & fact1 -> int2: ¬{C}{a}; int2 & fact5 -> int3: #F#; [assump1] & int3 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ãœããœãLv.69ã¯é»è²ã£ãœãããšããããšã¯æãç«ã€ | {B}{aa} | fact1: ä»®ã«ãäœããã®ã¢ã³ã¹ã¿ãŒã¯ãã£ãããªããåãåããäž¡æ¹ã ããšããããšã¯åã§ãããšãããšããã¯åŸ¡åŒ·ããªã fact2: é»è²ã£ãœããªãã¢ã³ã¹ã¿ãŒã¯éããªã fact3: ãã®ãŽããŽãLv.26ã¯éããªã fact4: è²ãŠæãã¢ã³ã¹ã¿ãŒã¯é»è²ã£ãœã fact5: ãã®ãœããœãLv.69ã¯éã fact6: 埡匷ããªãã¢ã³ã¹ã¿ãŒã¯è²ãŠæããŠéã fact7: ããä»®ã«ãã®ãœããœã«Lv.31ãè²ãŠæããšããããã®ãœããœãLv.69ã¯é»è²ã£ãœããªã | fact1: (x): ¬(¬{E}x v {F}x) -> ¬{D}x fact2: (x): ¬{B}x -> ¬{C}x fact3: ¬{C}{bf} fact4: (x): {A}x -> {B}x fact5: {C}{aa} fact6: (x): ¬{D}x -> ({A}x & {C}x) fact7: {A}{a} -> ¬{B}{aa} | [
"fact2 -> int1: ãããã®ãœããœãLv.69ãé»è²ã£ãœããªããšãããšéããªã; void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãœããœãLv.69ã¯é»è²ã£ãœããªã; int1 & assump1 -> int2: ãã®ãœããœãLv.69ã¯éããªã; int2 & fact5 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis;"
] | [
"fact2 -> int1: ¬{B}{aa} -> ¬{C}{aa}; void -> assump1: ¬{B}{aa}; int1 & assump1 -> int2: ¬{C}{aa}; int2 & fact5 -> int3: #F#; [assump1] & int3 -> hypothesis;"
] | ãã®ãœã¡ã
ãœã«ãLv.65ã¯é»è²ã£ãœã | {B}{fk} | [
"fact9 -> int4: ããä»®ã«ãã®ãœã¡ã
ãœã«ãLv.65ãè²ãŠæããªããã®ãœã¡ã
ãœã«ãLv.65ã¯é»è²ã£ãœã; fact8 -> int5: ãã®ãœã¡ã
ãœã«ãLv.65ã埡匷ããªããšãããšè²ãŠæããéã; fact10 -> int6: ããä»®ã«ããã®ãœã¡ã
ãœã«ãLv.65ã¯ãã£ãããšããããšã¯ãªãããããã¯åãåããäž¡æ¹ãšãã§ããããšããããšã¯ééãã ãšããã埡匷ããªã;"
] | 5 | 5 | 4 | 5 | 4 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ä»®ã«ãäœããã®ã¢ã³ã¹ã¿ãŒã¯ãã£ãããªããåãåããäž¡æ¹ã ããšããããšã¯åã§ãããšãããšããã¯åŸ¡åŒ·ããªã fact2: é»è²ã£ãœããªãã¢ã³ã¹ã¿ãŒã¯éããªã fact3: ãã®ãŽããŽãLv.26ã¯éããªã fact4: è²ãŠæãã¢ã³ã¹ã¿ãŒã¯é»è²ã£ãœã fact5: ãã®ãœããœãLv.69ã¯éã fact6: 埡匷ããªãã¢ã³ã¹ã¿ãŒã¯è²ãŠæããŠéã fact7: ããä»®ã«ãã®ãœããœã«Lv.31ãè²ãŠæããšããããã®ãœããœãLv.69ã¯é»è²ã£ãœããªã ; $hypothesis$ = ããã®ãœããœãLv.69ã¯é»è²ã£ãœãããšããããšã¯æãç«ã€ ; $proof$ = | fact2 -> int1: ãããã®ãœããœãLv.69ãé»è²ã£ãœããªããšãããšéããªã; void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãœããœãLv.69ã¯é»è²ã£ãœããªã; int1 & assump1 -> int2: ãã®ãœããœãLv.69ã¯éããªã; int2 & fact5 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): ¬(¬{E}x v {F}x) -> ¬{D}x fact2: (x): ¬{B}x -> ¬{C}x fact3: ¬{C}{bf} fact4: (x): {A}x -> {B}x fact5: {C}{aa} fact6: (x): ¬{D}x -> ({A}x & {C}x) fact7: {A}{a} -> ¬{B}{aa} ; $hypothesis$ = {B}{aa} ; $proof$ = | fact2 -> int1: ¬{B}{aa} -> ¬{C}{aa}; void -> assump1: ¬{B}{aa}; int1 & assump1 -> int2: ¬{C}{aa}; int2 & fact5 -> int3: #F#; [assump1] & int3 -> hypothesis; __PROVED__ |
0.3 | ãã®ããããLv.50ã¯èŠªãã | {D}{b} | fact1: ãã®ã¿ã«ã
ã¿ã¡ãLv.25ã¯æ¿ã fact2: ä»®ã«ãã®ã¿ã«ã
ã¿ã¡ãLv.25ã¯çž®ããããããæ¿ããªãã°ãèŠã
ããããšããããšã¯äºå®ã§ãããšããããšã¯ãªã fact3: ããä»®ã«ãã®ã¿ã«ã
ã¿ã¡ãLv.25ãèŠã
ãããªããšããããã®ããããLv.50ã¯èŠã
ãããŠãŸãããã¯æ¹§ãç«ã€ fact4: ããä»®ã«ãã®ããããLv.50ã湧ãç«ãŠã°èŠªãã fact5: ãã®ã¿ã«ã
ã¿ã¡ãLv.25ã¯çž®ãã | fact1: {B}{a} fact2: ({A}{a} & {B}{a}) -> ¬{C}{a} fact3: ¬{C}{a} -> ({C}{b} & {E}{b}) fact4: {E}{b} -> {D}{b} fact5: {A}{a} | [
"fact5 & fact1 -> int1: ããã®ã¿ã«ã
ã¿ã¡ãLv.25ã¯çž®ããããŸãããã¯æ¿ãããšããããšã¯çå®ã§ãã; int1 & fact2 -> int2: ããã®ã¿ã«ã
ã¿ã¡ãLv.25ã¯èŠã
ãããšããããšã¯ãªãããšããããšã¯æ¬åœã§ãã; int2 & fact3 -> int3: ãã®ããããLv.50ã¯èŠã
ããã湧ãç«ã€; int3 -> int4: ãã®ããããLv.50ã¯æ¹§ãç«ã€; int4 & fact4 -> hypothesis;"
] | [
"fact5 & fact1 -> int1: ({A}{a} & {B}{a}); int1 & fact2 -> int2: ¬{C}{a}; int2 & fact3 -> int3: ({C}{b} & {E}{b}); int3 -> int4: {E}{b}; int4 & fact4 -> hypothesis;"
] | null | null | [] | null | 5 | 5 | 5 | 5 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ãã®ã¿ã«ã
ã¿ã¡ãLv.25ã¯æ¿ã fact2: ä»®ã«ãã®ã¿ã«ã
ã¿ã¡ãLv.25ã¯çž®ããããããæ¿ããªãã°ãèŠã
ããããšããããšã¯äºå®ã§ãããšããããšã¯ãªã fact3: ããä»®ã«ãã®ã¿ã«ã
ã¿ã¡ãLv.25ãèŠã
ãããªããšããããã®ããããLv.50ã¯èŠã
ãããŠãŸãããã¯æ¹§ãç«ã€ fact4: ããä»®ã«ãã®ããããLv.50ã湧ãç«ãŠã°èŠªãã fact5: ãã®ã¿ã«ã
ã¿ã¡ãLv.25ã¯çž®ãã ; $hypothesis$ = ãã®ããããLv.50ã¯èŠªãã ; $proof$ = | fact5 & fact1 -> int1: ããã®ã¿ã«ã
ã¿ã¡ãLv.25ã¯çž®ããããŸãããã¯æ¿ãããšããããšã¯çå®ã§ãã; int1 & fact2 -> int2: ããã®ã¿ã«ã
ã¿ã¡ãLv.25ã¯èŠã
ãããšããããšã¯ãªãããšããããšã¯æ¬åœã§ãã; int2 & fact3 -> int3: ãã®ããããLv.50ã¯èŠã
ããã湧ãç«ã€; int3 -> int4: ãã®ããããLv.50ã¯æ¹§ãç«ã€; int4 & fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: {B}{a} fact2: ({A}{a} & {B}{a}) -> ¬{C}{a} fact3: ¬{C}{a} -> ({C}{b} & {E}{b}) fact4: {E}{b} -> {D}{b} fact5: {A}{a} ; $hypothesis$ = {D}{b} ; $proof$ = | fact5 & fact1 -> int1: ({A}{a} & {B}{a}); int1 & fact2 -> int2: ¬{C}{a}; int2 & fact3 -> int3: ({C}{b} & {E}{b}); int3 -> int4: {E}{b}; int4 & fact4 -> hypothesis; __PROVED__ |
0.3 | ããã®ã·ãã·ã¡ã
Lv.37ã¯æµ
ãŸãããšããããšã¯ç¢ºãã | {D}{c} | fact1: ãããã®ãœããœã«ãLv.86ã¯é¡ãããªãããã®ãŽã¡ããŽã®Lv.70ã¯éäžè¶³ç¡ãããšããããšã¯æ¬åœã§ãã fact2: ããã®ãŸã«ãŸã«Lv.54ã¯åºçŸãæãããšããããšã¯æãç«ã€ fact3: ãåŸãããããªãã¢ã³ã¹ã¿ãŒã¯æµ
ãŸããªãããšããããšã¯ééãã§ãªã fact4: ãã®ãŸã«ãŸã«Lv.54ã¯åŸãããããªã fact5: ä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒã¯åŸãããããªããšããã°ãåºçŸãæããšããããšã¯ãªãããŸãã¯éäžè¶³ç¡ããšããããšã¯ãªãããŸãã¯äž¡æ¹ãšãã ããšããããšã¯èª€ãã§ãã fact6: ãã®ãŽã¡ããŽã®Lv.70ã¯ããããªã fact7: ããããªãããã®ã¢ã³ã¹ã¿ãŒã¯åŸãããããªããšããã°ãåºçŸãæããªããæé
·ããªãããŸãã¯äž¡æ¹ãšãã ããšããããšã¯èª€ãã fact8: ããä»®ã«ããã®ãœããœã«ãLv.86ã¯é¡ãããã©ããã¯åŸãããããšããããšã¯ãªãããšããããšã¯ééãã§ãããªããã®ã·ãã·ã¡ã
Lv.37ã¯åŸãããããªã fact9: ä»®ã«ããã®ãŸã«ãŸã«Lv.54ã¯åºçŸãæããªãããããã¯æé
·ããªããäž¡æ¹ã§ããããšããããšã¯æãç«ããªããšããããã®ãœããœã«ãLv.86ã¯é¡ãã | fact1: {B}{a} -> {C}{b} fact2: {AA}{aa} fact3: (x): ¬{A}x -> ¬{D}x fact4: ¬{A}{aa} fact5: (x): ¬{A}x -> ¬(¬{AA}x v ¬{C}x) fact6: ¬{GD}{b} fact7: (x): ¬{A}x -> ¬(¬{AA}x v ¬{AB}x) fact8: ¬({B}{a} & ¬{A}{a}) -> ¬{A}{c} fact9: ¬(¬{AA}{aa} v ¬{AB}{aa}) -> {B}{a} | [
"fact7 -> int1: ããä»®ã«ãã®ãŸã«ãŸã«Lv.54ã¯åŸãããããªããšãããããã®ãŸã«ãŸã«Lv.54ã¯åºçŸãæããªãããããã¯æé
·ããªããäž¡æ¹ãšãã ããšããããšã¯èª€ãã§ãã; int1 & fact4 -> int2: ããã®ãŸã«ãŸã«Lv.54ã¯åºçŸãæããªãããããã¯æé
·ããªãããããã¯äž¡æ¹ãšãã ããšããããšã¯æãç«ããªã; int2 & fact9 -> int3: ãã®ãœããœã«ãLv.86ã¯é¡ãã; int3 & fact1 -> int4: ãã®ãŽã¡ããŽã®Lv.70ã¯éäžè¶³ç¡ã;"
] | [
"fact7 -> int1: ¬{A}{aa} -> ¬(¬{AA}{aa} v ¬{AB}{aa}); int1 & fact4 -> int2: ¬(¬{AA}{aa} v ¬{AB}{aa}); int2 & fact9 -> int3: {B}{a}; int3 & fact1 -> int4: {C}{b};"
] | ãã®ã·ãã·ã¡ã
Lv.37ã¯æµ
ãŸããªã | ¬{D}{c} | [
"fact11 -> int5: ãä»®ã«ãã®ã·ãã·ã¡ã
Lv.37ãåŸãããããªããªãã°ãã®ã·ãã·ã¡ã
Lv.37ã¯æµ
ãŸããªãããšããããšã¯æ£ãã;"
] | 5 | 5 | 5 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãããã®ãœããœã«ãLv.86ã¯é¡ãããªãããã®ãŽã¡ããŽã®Lv.70ã¯éäžè¶³ç¡ãããšããããšã¯æ¬åœã§ãã fact2: ããã®ãŸã«ãŸã«Lv.54ã¯åºçŸãæãããšããããšã¯æãç«ã€ fact3: ãåŸãããããªãã¢ã³ã¹ã¿ãŒã¯æµ
ãŸããªãããšããããšã¯ééãã§ãªã fact4: ãã®ãŸã«ãŸã«Lv.54ã¯åŸãããããªã fact5: ä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒã¯åŸãããããªããšããã°ãåºçŸãæããšããããšã¯ãªãããŸãã¯éäžè¶³ç¡ããšããããšã¯ãªãããŸãã¯äž¡æ¹ãšãã ããšããããšã¯èª€ãã§ãã fact6: ãã®ãŽã¡ããŽã®Lv.70ã¯ããããªã fact7: ããããªãããã®ã¢ã³ã¹ã¿ãŒã¯åŸãããããªããšããã°ãåºçŸãæããªããæé
·ããªãããŸãã¯äž¡æ¹ãšãã ããšããããšã¯èª€ãã fact8: ããä»®ã«ããã®ãœããœã«ãLv.86ã¯é¡ãããã©ããã¯åŸãããããšããããšã¯ãªãããšããããšã¯ééãã§ãããªããã®ã·ãã·ã¡ã
Lv.37ã¯åŸãããããªã fact9: ä»®ã«ããã®ãŸã«ãŸã«Lv.54ã¯åºçŸãæããªãããããã¯æé
·ããªããäž¡æ¹ã§ããããšããããšã¯æãç«ããªããšããããã®ãœããœã«ãLv.86ã¯é¡ãã ; $hypothesis$ = ããã®ã·ãã·ã¡ã
Lv.37ã¯æµ
ãŸãããšããããšã¯ç¢ºãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {B}{a} -> {C}{b} fact2: {AA}{aa} fact3: (x): ¬{A}x -> ¬{D}x fact4: ¬{A}{aa} fact5: (x): ¬{A}x -> ¬(¬{AA}x v ¬{C}x) fact6: ¬{GD}{b} fact7: (x): ¬{A}x -> ¬(¬{AA}x v ¬{AB}x) fact8: ¬({B}{a} & ¬{A}{a}) -> ¬{A}{c} fact9: ¬(¬{AA}{aa} v ¬{AB}{aa}) -> {B}{a} ; $hypothesis$ = {D}{c} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã·ã«ãã·ãLv.32ã¯æå³æ·±ããªã | ¬{F}{c} | fact1: ãã®ããããLv.22ãæ¯çããšãããšãã®ã·ã¡ã
ã·ã¡ãLv.44ã¯å¿åªãã fact2: æ¯çãã¢ã³ã¹ã¿ãŒã¯æå³æ·±ã fact3: ãã®ã·ã¡ã
ã·ã¡ãLv.44ã¯åãå
¥ãããæã fact4: ããããã®ã·ã¡ã
ã·ã¡ãLv.44ã¯åŸ¡æ¥ãããããªããšãããšããã®ã·ã«ãã·ãLv.32ã¯ãã£ã€ããããŸãã«åŸ¡æ¥ããããããšããããšã¯åœã fact5: ããããã®ã·ã«ãã·ãLv.32ã¯ãã£ã€ãããã€ããã¯åŸ¡æ¥ããããããšããããšã¯ééãã ãšãããšãã®ã·ã«ãã·ãLv.32ã¯æå³æ·±ããªã fact6: ãã®ããããLv.22ã¯æ¯çã fact7: ä»®ã«ãã®ã·ã¡ã
ã·ã¡ãLv.44ãå¿åªãããŠããã«ãããåãå
¥ãããæããšããã°åŸ¡æ¥ãããããªã | fact1: {A}{a} -> {B}{b} fact2: (x): {A}x -> {F}x fact3: {C}{b} fact4: ¬{D}{b} -> ¬({E}{c} & {D}{c}) fact5: ¬({E}{c} & {D}{c}) -> ¬{F}{c} fact6: {A}{a} fact7: ({B}{b} & {C}{b}) -> ¬{D}{b} | [
"fact1 & fact6 -> int1: ããã®ã·ã¡ã
ã·ã¡ãLv.44ã¯å¿åªããããšããããšã¯æ£ãã; int1 & fact3 -> int2: ãã®ã·ã¡ã
ã·ã¡ãLv.44ã¯å¿åªãããŠããã«åãå
¥ãããæã; int2 & fact7 -> int3: ãã®ã·ã¡ã
ã·ã¡ãLv.44ã¯åŸ¡æ¥ãããããªã; int3 & fact4 -> int4: ããã®ã·ã«ãã·ãLv.32ããã£ã€ãããã®äžåŸ¡æ¥ããããããšããããšã¯åœã ; int4 & fact5 -> hypothesis;"
] | [
"fact1 & fact6 -> int1: {B}{b}; int1 & fact3 -> int2: ({B}{b} & {C}{b}); int2 & fact7 -> int3: ¬{D}{b}; int3 & fact4 -> int4: ¬({E}{c} & {D}{c}); int4 & fact5 -> hypothesis;"
] | ããã®ã·ã«ãã·ãLv.32ã¯æå³æ·±ãããšããããšã¯èª€ã£ãŠããªã | {F}{c} | [
"fact8 -> int5: ããããã®ã·ã«ãã·ãLv.32ãæ¯çããªãæå³æ·±ã;"
] | 5 | 5 | 5 | 5 | 5 | 1 | 0 | 1 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã®ããããLv.22ãæ¯çããšãããšãã®ã·ã¡ã
ã·ã¡ãLv.44ã¯å¿åªãã fact2: æ¯çãã¢ã³ã¹ã¿ãŒã¯æå³æ·±ã fact3: ãã®ã·ã¡ã
ã·ã¡ãLv.44ã¯åãå
¥ãããæã fact4: ããããã®ã·ã¡ã
ã·ã¡ãLv.44ã¯åŸ¡æ¥ãããããªããšãããšããã®ã·ã«ãã·ãLv.32ã¯ãã£ã€ããããŸãã«åŸ¡æ¥ããããããšããããšã¯åœã fact5: ããããã®ã·ã«ãã·ãLv.32ã¯ãã£ã€ãããã€ããã¯åŸ¡æ¥ããããããšããããšã¯ééãã ãšãããšãã®ã·ã«ãã·ãLv.32ã¯æå³æ·±ããªã fact6: ãã®ããããLv.22ã¯æ¯çã fact7: ä»®ã«ãã®ã·ã¡ã
ã·ã¡ãLv.44ãå¿åªãããŠããã«ãããåãå
¥ãããæããšããã°åŸ¡æ¥ãããããªã ; $hypothesis$ = ãã®ã·ã«ãã·ãLv.32ã¯æå³æ·±ããªã ; $proof$ = | fact1 & fact6 -> int1: ããã®ã·ã¡ã
ã·ã¡ãLv.44ã¯å¿åªããããšããããšã¯æ£ãã; int1 & fact3 -> int2: ãã®ã·ã¡ã
ã·ã¡ãLv.44ã¯å¿åªãããŠããã«åãå
¥ãããæã; int2 & fact7 -> int3: ãã®ã·ã¡ã
ã·ã¡ãLv.44ã¯åŸ¡æ¥ãããããªã; int3 & fact4 -> int4: ããã®ã·ã«ãã·ãLv.32ããã£ã€ãããã®äžåŸ¡æ¥ããããããšããããšã¯åœã ; int4 & fact5 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{a} -> {B}{b} fact2: (x): {A}x -> {F}x fact3: {C}{b} fact4: ¬{D}{b} -> ¬({E}{c} & {D}{c}) fact5: ¬({E}{c} & {D}{c}) -> ¬{F}{c} fact6: {A}{a} fact7: ({B}{b} & {C}{b}) -> ¬{D}{b} ; $hypothesis$ = ¬{F}{c} ; $proof$ = | fact1 & fact6 -> int1: {B}{b}; int1 & fact3 -> int2: ({B}{b} & {C}{b}); int2 & fact7 -> int3: ¬{D}{b}; int3 & fact4 -> int4: ¬({E}{c} & {D}{c}); int4 & fact5 -> hypothesis; __PROVED__ |
0.3 | ããŽããŽãLv.11äºä»¶ãšèªãå°œãããããšäž¡æ¹ãšããèµ·ããããšããããšã¯æãç«ã€ | ({B} & {C}) | fact1: é æ¯ç¡ããšããããšã¯çãããšããããšã«ããçºçãã fact2: èªãå°œãããããšãèµ·ãã fact3: ä»®ã«çãããšããããšãçãããšãããé æ¯ç¡ããšããããšãèµ·ãããå°æ±ããšããããšã¯èµ·ããªã fact4: ãŽããŽãLv.11äºä»¶ã¯çããªããšããããšã¯ãé æ¯ç¡ããšããããšãçºçããäžæ¹ã§å°æ±ããšããããšã¯çºçããªãããšããããšã«é»æ¢ããã fact5: ãŸã«ãŸã«ãLv.29äºä»¶ãšçãããšããããšãèµ·ãã fact6: ãŸã«ãŸã«ãLv.29äºä»¶ãçãã | fact1: {A} -> {AA} fact2: {C} fact3: {A} -> ({AA} & ¬{AB}) fact4: ({AA} & ¬{AB}) -> {B} fact5: ({D} & {A}) fact6: {D} | [
"fact5 -> int1: çãããšããããšãçºçãã; fact3 & int1 -> int2: é æ¯ç¡ããšããããšãçºçãããå°æ±ããšããããšã¯èµ·ããªã; int2 & fact4 -> int3: ãŽããŽãLv.11äºä»¶ãèµ·ãã; int3 & fact2 -> hypothesis;"
] | [
"fact5 -> int1: {A}; fact3 & int1 -> int2: ({AA} & ¬{AB}); int2 & fact4 -> int3: {B}; int3 & fact2 -> hypothesis;"
] | null | null | [] | null | 4 | 4 | 4 | 4 | 2 | 0 | 2 | PROVED | null | PROVED | null | $facts$ = fact1: é æ¯ç¡ããšããããšã¯çãããšããããšã«ããçºçãã fact2: èªãå°œãããããšãèµ·ãã fact3: ä»®ã«çãããšããããšãçãããšãããé æ¯ç¡ããšããããšãèµ·ãããå°æ±ããšããããšã¯èµ·ããªã fact4: ãŽããŽãLv.11äºä»¶ã¯çããªããšããããšã¯ãé æ¯ç¡ããšããããšãçºçããäžæ¹ã§å°æ±ããšããããšã¯çºçããªãããšããããšã«é»æ¢ããã fact5: ãŸã«ãŸã«ãLv.29äºä»¶ãšçãããšããããšãèµ·ãã fact6: ãŸã«ãŸã«ãLv.29äºä»¶ãçãã ; $hypothesis$ = ããŽããŽãLv.11äºä»¶ãšèªãå°œãããããšäž¡æ¹ãšããèµ·ããããšããããšã¯æãç«ã€ ; $proof$ = | fact5 -> int1: çãããšããããšãçºçãã; fact3 & int1 -> int2: é æ¯ç¡ããšããããšãçºçãããå°æ±ããšããããšã¯èµ·ããªã; int2 & fact4 -> int3: ãŽããŽãLv.11äºä»¶ãèµ·ãã; int3 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: {A} -> {AA} fact2: {C} fact3: {A} -> ({AA} & ¬{AB}) fact4: ({AA} & ¬{AB}) -> {B} fact5: ({D} & {A}) fact6: {D} ; $hypothesis$ = ({B} & {C}) ; $proof$ = | fact5 -> int1: {A}; fact3 & int1 -> int2: ({AA} & ¬{AB}); int2 & fact4 -> int3: {B}; int3 & fact2 -> hypothesis; __PROVED__ |
0.3 | ãä»®ã«ç¶äºããªããå ããŠãã°ãã°ãããªãããã£ããŒããªãããšããããšã¯æãç«ã€ãã¢ã³ã¹ã¿ãŒã¯ãã | (Ex): (¬{AA}x & {AB}x) -> ¬{B}x | fact1: ããããã眮ãæããã¢ã³ã¹ã¿ãŒããããšããã°ãã®ããããLv.35ã¯çœ®ãæããšããããšã¯ãªãã殎ãå§ããããšããããšã¯åã§ãã | fact1: fake_formula | [] | [] | null | null | [] | null | 1 | 1 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ããããã眮ãæããã¢ã³ã¹ã¿ãŒããããšããã°ãã®ããããLv.35ã¯çœ®ãæããšããããšã¯ãªãã殎ãå§ããããšããããšã¯åã§ãã ; $hypothesis$ = ãä»®ã«ç¶äºããªããå ããŠãã°ãã°ãããªãããã£ããŒããªãããšããããšã¯æãç«ã€ãã¢ã³ã¹ã¿ãŒã¯ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: fake_formula ; $hypothesis$ = (Ex): (¬{AA}x & {AB}x) -> ¬{B}x ; $proof$ = | __UNKNOWN__ |