TSTP Solution File: GEO567+1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO567+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 06:00:57 EDT 2022
% Result : Theorem 25.26s 25.45s
% Output : Refutation 25.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO567+1 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 02:33:47 EDT 2022
% 0.13/0.34 % CPUTime :
% 25.26/25.45 # Version: 1.3
% 25.26/25.45 # SZS status Theorem
% 25.26/25.45 # SZS output start CNFRefutation
% 25.26/25.45 fof(exemplo6GDDFULL214029,conjecture,(![A]:(![B]:(![C]:(![D]:(![Q]:(![P]:((((((perp(D,A,B,C)&coll(D,B,C))&perp(Q,D,A,B))&coll(Q,A,B))&perp(P,D,A,C))&coll(P,A,C))=>cyclic(B,Q,P,C)))))))),input).
% 25.26/25.45 fof(c11,negated_conjecture,(~(![A]:(![B]:(![C]:(![D]:(![Q]:(![P]:((((((perp(D,A,B,C)&coll(D,B,C))&perp(Q,D,A,B))&coll(Q,A,B))&perp(P,D,A,C))&coll(P,A,C))=>cyclic(B,Q,P,C))))))))),inference(assume_negation,status(cth),[exemplo6GDDFULL214029])).
% 25.26/25.45 fof(c12,negated_conjecture,(?[A]:(?[B]:(?[C]:(?[D]:(?[Q]:(?[P]:((((((perp(D,A,B,C)&coll(D,B,C))&perp(Q,D,A,B))&coll(Q,A,B))&perp(P,D,A,C))&coll(P,A,C))&~cyclic(B,Q,P,C)))))))),inference(fof_nnf,status(thm),[c11])).
% 25.26/25.45 fof(c13,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(?[X5]:(?[X6]:(?[X7]:((((((perp(X5,X2,X3,X4)&coll(X5,X3,X4))&perp(X6,X5,X2,X3))&coll(X6,X2,X3))&perp(X7,X5,X2,X4))&coll(X7,X2,X4))&~cyclic(X3,X6,X7,X4)))))))),inference(variable_rename,status(thm),[c12])).
% 25.26/25.45 fof(c14,negated_conjecture,((((((perp(skolem0004,skolem0001,skolem0002,skolem0003)&coll(skolem0004,skolem0002,skolem0003))&perp(skolem0005,skolem0004,skolem0001,skolem0002))&coll(skolem0005,skolem0001,skolem0002))&perp(skolem0006,skolem0004,skolem0001,skolem0003))&coll(skolem0006,skolem0001,skolem0003))&~cyclic(skolem0002,skolem0005,skolem0006,skolem0003)),inference(skolemize,status(esa),[c13])).
% 25.26/25.45 cnf(c21,negated_conjecture,~cyclic(skolem0002,skolem0005,skolem0006,skolem0003),inference(split_conjunct,status(thm),[c14])).
% 25.26/25.45 fof(ruleD14,axiom,(![A]:(![B]:(![C]:(![D]:(cyclic(A,B,C,D)=>cyclic(A,B,D,C)))))),input).
% 25.26/25.45 fof(c363,axiom,(![A]:(![B]:(![C]:(![D]:(~cyclic(A,B,C,D)|cyclic(A,B,D,C)))))),inference(fof_nnf,status(thm),[ruleD14])).
% 25.26/25.45 fof(c364,axiom,(![X469]:(![X470]:(![X471]:(![X472]:(~cyclic(X469,X470,X471,X472)|cyclic(X469,X470,X472,X471)))))),inference(variable_rename,status(thm),[c363])).
% 25.26/25.45 cnf(c365,axiom,~cyclic(X670,X668,X671,X669)|cyclic(X670,X668,X669,X671),inference(split_conjunct,status(thm),[c364])).
% 25.26/25.45 fof(ruleD16,axiom,(![A]:(![B]:(![C]:(![D]:(cyclic(A,B,C,D)=>cyclic(B,A,C,D)))))),input).
% 25.26/25.45 fof(c357,axiom,(![A]:(![B]:(![C]:(![D]:(~cyclic(A,B,C,D)|cyclic(B,A,C,D)))))),inference(fof_nnf,status(thm),[ruleD16])).
% 25.26/25.45 fof(c358,axiom,(![X461]:(![X462]:(![X463]:(![X464]:(~cyclic(X461,X462,X463,X464)|cyclic(X462,X461,X463,X464)))))),inference(variable_rename,status(thm),[c357])).
% 25.26/25.45 cnf(c359,axiom,~cyclic(X663,X660,X662,X661)|cyclic(X660,X663,X662,X661),inference(split_conjunct,status(thm),[c358])).
% 25.26/25.45 fof(ruleD15,axiom,(![A]:(![B]:(![C]:(![D]:(cyclic(A,B,C,D)=>cyclic(A,C,B,D)))))),input).
% 25.26/25.45 fof(c360,axiom,(![A]:(![B]:(![C]:(![D]:(~cyclic(A,B,C,D)|cyclic(A,C,B,D)))))),inference(fof_nnf,status(thm),[ruleD15])).
% 25.26/25.45 fof(c361,axiom,(![X465]:(![X466]:(![X467]:(![X468]:(~cyclic(X465,X466,X467,X468)|cyclic(X465,X467,X466,X468)))))),inference(variable_rename,status(thm),[c360])).
% 25.26/25.45 cnf(c362,axiom,~cyclic(X664,X665,X667,X666)|cyclic(X664,X667,X665,X666),inference(split_conjunct,status(thm),[c361])).
% 25.26/25.45 fof(ruleD1,axiom,(![A]:(![B]:(![C]:(coll(A,B,C)=>coll(A,C,B))))),input).
% 25.26/25.45 fof(c404,axiom,(![A]:(![B]:(![C]:(~coll(A,B,C)|coll(A,C,B))))),inference(fof_nnf,status(thm),[ruleD1])).
% 25.26/25.45 fof(c405,axiom,(![X526]:(![X527]:(![X528]:(~coll(X526,X527,X528)|coll(X526,X528,X527))))),inference(variable_rename,status(thm),[c404])).
% 25.26/25.45 cnf(c406,axiom,~coll(X571,X569,X570)|coll(X571,X570,X569),inference(split_conjunct,status(thm),[c405])).
% 25.26/25.45 fof(ruleD2,axiom,(![A]:(![B]:(![C]:(coll(A,B,C)=>coll(B,A,C))))),input).
% 25.26/25.45 fof(c401,axiom,(![A]:(![B]:(![C]:(~coll(A,B,C)|coll(B,A,C))))),inference(fof_nnf,status(thm),[ruleD2])).
% 25.26/25.45 fof(c402,axiom,(![X523]:(![X524]:(![X525]:(~coll(X523,X524,X525)|coll(X524,X523,X525))))),inference(variable_rename,status(thm),[c401])).
% 25.26/25.45 cnf(c403,axiom,~coll(X550,X552,X551)|coll(X552,X550,X551),inference(split_conjunct,status(thm),[c402])).
% 25.26/25.45 fof(ruleD66,axiom,(![A]:(![B]:(![C]:(para(A,B,A,C)=>coll(A,B,C))))),input).
% 25.26/25.45 fof(c187,axiom,(![A]:(![B]:(![C]:(~para(A,B,A,C)|coll(A,B,C))))),inference(fof_nnf,status(thm),[ruleD66])).
% 25.26/25.45 fof(c188,axiom,(![X162]:(![X163]:(![X164]:(~para(X162,X163,X162,X164)|coll(X162,X163,X164))))),inference(variable_rename,status(thm),[c187])).
% 25.26/25.45 cnf(c189,axiom,~para(X637,X638,X637,X639)|coll(X637,X638,X639),inference(split_conjunct,status(thm),[c188])).
% 25.26/25.45 fof(ruleD39,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(eqangle(A,B,P,Q,C,D,P,Q)=>para(A,B,C,D)))))))),input).
% 25.26/25.45 fof(c284,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D)))))))),inference(fof_nnf,status(thm),[ruleD39])).
% 25.26/25.45 fof(c285,axiom,(![A]:(![B]:(![C]:(![D]:((![P]:(![Q]:~eqangle(A,B,P,Q,C,D,P,Q)))|para(A,B,C,D)))))),inference(shift_quantors,status(thm),[c284])).
% 25.26/25.45 fof(c287,axiom,(![X294]:(![X295]:(![X296]:(![X297]:(![X298]:(![X299]:(~eqangle(X294,X295,X298,X299,X296,X297,X298,X299)|para(X294,X295,X296,X297)))))))),inference(shift_quantors,status(thm),[fof(c286,axiom,(![X294]:(![X295]:(![X296]:(![X297]:((![X298]:(![X299]:~eqangle(X294,X295,X298,X299,X296,X297,X298,X299)))|para(X294,X295,X296,X297)))))),inference(variable_rename,status(thm),[c285])).])).
% 25.26/25.45 cnf(c288,axiom,~eqangle(X1080,X1078,X1079,X1077,X1076,X1081,X1079,X1077)|para(X1080,X1078,X1076,X1081),inference(split_conjunct,status(thm),[c287])).
% 25.26/25.45 fof(ruleD19,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(![U]:(![V]:(eqangle(A,B,C,D,P,Q,U,V)=>eqangle(C,D,A,B,U,V,P,Q)))))))))),input).
% 25.26/25.45 fof(c348,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(![U]:(![V]:(~eqangle(A,B,C,D,P,Q,U,V)|eqangle(C,D,A,B,U,V,P,Q)))))))))),inference(fof_nnf,status(thm),[ruleD19])).
% 25.26/25.45 fof(c349,axiom,(![X440]:(![X441]:(![X442]:(![X443]:(![X444]:(![X445]:(![X446]:(![X447]:(~eqangle(X440,X441,X442,X443,X444,X445,X446,X447)|eqangle(X442,X443,X440,X441,X446,X447,X444,X445)))))))))),inference(variable_rename,status(thm),[c348])).
% 25.26/25.45 cnf(c350,axiom,~eqangle(X1214,X1217,X1220,X1221,X1218,X1215,X1219,X1216)|eqangle(X1220,X1221,X1214,X1217,X1219,X1216,X1218,X1215),inference(split_conjunct,status(thm),[c349])).
% 25.26/25.45 fof(ruleD40,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(para(A,B,C,D)=>eqangle(A,B,P,Q,C,D,P,Q)))))))),input).
% 25.26/25.45 fof(c279,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q)))))))),inference(fof_nnf,status(thm),[ruleD40])).
% 25.26/25.45 fof(c280,axiom,(![A]:(![B]:(![C]:(![D]:(~para(A,B,C,D)|(![P]:(![Q]:eqangle(A,B,P,Q,C,D,P,Q)))))))),inference(shift_quantors,status(thm),[c279])).
% 25.26/25.45 fof(c282,axiom,(![X288]:(![X289]:(![X290]:(![X291]:(![X292]:(![X293]:(~para(X288,X289,X290,X291)|eqangle(X288,X289,X292,X293,X290,X291,X292,X293)))))))),inference(shift_quantors,status(thm),[fof(c281,axiom,(![X288]:(![X289]:(![X290]:(![X291]:(~para(X288,X289,X290,X291)|(![X292]:(![X293]:eqangle(X288,X289,X292,X293,X290,X291,X292,X293)))))))),inference(variable_rename,status(thm),[c280])).])).
% 25.26/25.45 cnf(c283,axiom,~para(X1075,X1073,X1070,X1074)|eqangle(X1075,X1073,X1071,X1072,X1070,X1074,X1071,X1072),inference(split_conjunct,status(thm),[c282])).
% 25.26/25.45 cnf(c19,negated_conjecture,perp(skolem0006,skolem0004,skolem0001,skolem0003),inference(split_conjunct,status(thm),[c14])).
% 25.26/25.45 fof(ruleD8,axiom,(![A]:(![B]:(![C]:(![D]:(perp(A,B,C,D)=>perp(C,D,A,B)))))),input).
% 25.26/25.45 fof(c383,axiom,(![A]:(![B]:(![C]:(![D]:(~perp(A,B,C,D)|perp(C,D,A,B)))))),inference(fof_nnf,status(thm),[ruleD8])).
% 25.26/25.45 fof(c384,axiom,(![X497]:(![X498]:(![X499]:(![X500]:(~perp(X497,X498,X499,X500)|perp(X499,X500,X497,X498)))))),inference(variable_rename,status(thm),[c383])).
% 25.26/25.45 cnf(c385,axiom,~perp(X675,X673,X672,X674)|perp(X672,X674,X675,X673),inference(split_conjunct,status(thm),[c384])).
% 25.26/25.45 cnf(c468,plain,perp(skolem0001,skolem0003,skolem0006,skolem0004),inference(resolution,status(thm),[c385, c19])).
% 25.26/25.45 fof(ruleD9,axiom,(![A]:(![B]:(![C]:(![D]:(![E]:(![F]:((perp(A,B,C,D)&perp(C,D,E,F))=>para(A,B,E,F)))))))),input).
% 25.26/25.45 fof(c380,axiom,(![A]:(![B]:(![C]:(![D]:(![E]:(![F]:((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F)))))))),inference(fof_nnf,status(thm),[ruleD9])).
% 25.26/25.45 fof(c381,axiom,(![X491]:(![X492]:(![X493]:(![X494]:(![X495]:(![X496]:((~perp(X491,X492,X493,X494)|~perp(X493,X494,X495,X496))|para(X491,X492,X495,X496)))))))),inference(variable_rename,status(thm),[c380])).
% 25.26/25.45 cnf(c382,axiom,~perp(X1253,X1252,X1255,X1254)|~perp(X1255,X1254,X1251,X1250)|para(X1253,X1252,X1251,X1250),inference(split_conjunct,status(thm),[c381])).
% 25.26/25.45 cnf(c1598,plain,~perp(X2224,X2223,skolem0006,skolem0004)|para(X2224,X2223,skolem0001,skolem0003),inference(resolution,status(thm),[c382, c19])).
% 25.26/25.45 cnf(c3672,plain,para(skolem0001,skolem0003,skolem0001,skolem0003),inference(resolution,status(thm),[c1598, c468])).
% 25.26/25.45 cnf(c3674,plain,eqangle(skolem0001,skolem0003,X2226,X2225,skolem0001,skolem0003,X2226,X2225),inference(resolution,status(thm),[c3672, c283])).
% 25.26/25.45 cnf(c3741,plain,eqangle(X2234,X2233,skolem0001,skolem0003,X2234,X2233,skolem0001,skolem0003),inference(resolution,status(thm),[c3674, c350])).
% 25.26/25.45 cnf(c3823,plain,para(X2235,X2236,X2235,X2236),inference(resolution,status(thm),[c3741, c288])).
% 25.26/25.45 cnf(c3832,plain,coll(X2237,X2238,X2238),inference(resolution,status(thm),[c3823, c189])).
% 25.26/25.45 cnf(c3948,plain,coll(X2239,X2240,X2239),inference(resolution,status(thm),[c3832, c403])).
% 25.26/25.45 cnf(c4300,plain,coll(X2245,X2245,X2246),inference(resolution,status(thm),[c3948, c406])).
% 25.26/25.45 fof(ruleD3,axiom,(![A]:(![B]:(![C]:(![D]:((coll(A,B,C)&coll(A,B,D))=>coll(C,D,A)))))),input).
% 25.26/25.45 fof(c398,axiom,(![A]:(![B]:(![C]:(![D]:((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A)))))),inference(fof_nnf,status(thm),[ruleD3])).
% 25.26/25.45 fof(c399,axiom,(![X519]:(![X520]:(![X521]:(![X522]:((~coll(X519,X520,X521)|~coll(X519,X520,X522))|coll(X521,X522,X519)))))),inference(variable_rename,status(thm),[c398])).
% 25.26/25.45 cnf(c400,axiom,~coll(X755,X756,X757)|~coll(X755,X756,X754)|coll(X757,X754,X755),inference(split_conjunct,status(thm),[c399])).
% 25.26/25.45 cnf(c4384,plain,~coll(X3276,X3276,X3275)|coll(X3275,X3277,X3276),inference(resolution,status(thm),[c4300, c400])).
% 25.26/25.45 cnf(c7835,plain,coll(X3286,X3287,X3288),inference(resolution,status(thm),[c4384, c4300])).
% 25.26/25.45 fof(ruleD42b,axiom,(![A]:(![B]:(![P]:(![Q]:((eqangle(P,A,P,B,Q,A,Q,B)&coll(P,Q,B))=>cyclic(A,B,P,Q)))))),input).
% 25.26/25.45 fof(c269,axiom,(![A]:(![B]:(![P]:(![Q]:((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q)))))),inference(fof_nnf,status(thm),[ruleD42b])).
% 25.26/25.45 fof(c270,axiom,(![X276]:(![X277]:(![X278]:(![X279]:((~eqangle(X278,X276,X278,X277,X279,X276,X279,X277)|~coll(X278,X279,X277))|cyclic(X276,X277,X278,X279)))))),inference(variable_rename,status(thm),[c269])).
% 25.26/25.45 cnf(c271,axiom,~eqangle(X1060,X1058,X1060,X1059,X1061,X1058,X1061,X1059)|~coll(X1060,X1061,X1059)|cyclic(X1058,X1059,X1060,X1061),inference(split_conjunct,status(thm),[c270])).
% 25.26/25.45 cnf(c3824,plain,eqangle(X3097,X3095,X3096,X3094,X3097,X3095,X3096,X3094),inference(resolution,status(thm),[c3823, c283])).
% 25.26/25.45 cnf(c7572,plain,~coll(X3598,X3598,X3597)|cyclic(X3599,X3597,X3598,X3598),inference(resolution,status(thm),[c3824, c271])).
% 25.26/25.45 cnf(c8150,plain,cyclic(X3606,X3605,X3604,X3604),inference(resolution,status(thm),[c7572, c7835])).
% 25.26/25.45 cnf(c8152,plain,cyclic(X3609,X3607,X3608,X3607),inference(resolution,status(thm),[c8150, c362])).
% 25.26/25.45 cnf(c8164,plain,cyclic(X3624,X3623,X3622,X3624),inference(resolution,status(thm),[c8152, c359])).
% 25.26/25.45 cnf(c8174,plain,cyclic(X3635,X3634,X3635,X3636),inference(resolution,status(thm),[c8164, c365])).
% 25.26/25.45 fof(ruleD17,axiom,(![A]:(![B]:(![C]:(![D]:(![E]:((cyclic(A,B,C,D)&cyclic(A,B,C,E))=>cyclic(B,C,D,E))))))),input).
% 25.26/25.45 fof(c354,axiom,(![A]:(![B]:(![C]:(![D]:(![E]:((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))))))),inference(fof_nnf,status(thm),[ruleD17])).
% 25.26/25.45 fof(c355,axiom,(![X456]:(![X457]:(![X458]:(![X459]:(![X460]:((~cyclic(X456,X457,X458,X459)|~cyclic(X456,X457,X458,X460))|cyclic(X457,X458,X459,X460))))))),inference(variable_rename,status(thm),[c354])).
% 25.26/25.45 cnf(c356,axiom,~cyclic(X1232,X1233,X1230,X1234)|~cyclic(X1232,X1233,X1230,X1231)|cyclic(X1233,X1230,X1234,X1231),inference(split_conjunct,status(thm),[c355])).
% 25.26/25.45 cnf(c8189,plain,~cyclic(X8816,X8817,X8816,X8819)|cyclic(X8817,X8816,X8819,X8818),inference(resolution,status(thm),[c8174, c356])).
% 25.26/25.45 cnf(c14446,plain,cyclic(X8823,X8821,X8822,X8820),inference(resolution,status(thm),[c8189, c8174])).
% 25.26/25.45 cnf(c14455,plain,$false,inference(resolution,status(thm),[c14446, c21])).
% 25.26/25.45 # SZS output end CNFRefutation
% 25.26/25.45
% 25.26/25.45 # Initial clauses : 134
% 25.26/25.45 # Processed clauses : 2063
% 25.26/25.45 # Factors computed : 0
% 25.26/25.45 # Resolvents computed: 14049
% 25.26/25.45 # Tautologies deleted: 4
% 25.26/25.45 # Forward subsumed : 5051
% 25.26/25.45 # Backward subsumed : 983
% 25.26/25.45 # -------- CPU Time ---------
% 25.26/25.45 # User time : 25.042 s
% 25.26/25.45 # System time : 0.046 s
% 25.26/25.45 # Total time : 25.088 s
%------------------------------------------------------------------------------