TSTP Solution File: GEO654+1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO654+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n014.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 06:01:21 EDT 2022
% Result : Theorem 55.38s 55.57s
% Output : Refutation 55.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO654+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Fri Jun 17 16:02:49 EDT 2022
% 0.13/0.35 % CPUTime :
% 55.38/55.57 # Version: 1.3
% 55.38/55.57 # SZS status Theorem
% 55.38/55.57 # SZS output start CNFRefutation
% 55.38/55.57 fof(exemplo6GDDFULLmoreE0228,conjecture,(![A]:(![B]:(![C]:(![D]:(![E]:(![F]:(![G]:(![H]:(![NWPNT1]:(![NWPNT2]:(![NWPNT3]:(![NWPNT4]:(![NWPNT5]:(![NWPNT6]:(![NWPNT7]:(![NWPNT8]:(![NWPNT9]:((((((((((circle(A,B,NWPNT1,NWPNT2)&circle(C,B,NWPNT3,NWPNT4))&circle(A,B,D,NWPNT5))&circle(C,B,D,NWPNT6))&circle(C,B,E,NWPNT7))&coll(D,E,F))&circle(A,D,F,NWPNT8))&coll(B,E,G))&circle(A,B,G,NWPNT9))&perp(C,E,E,H))=>para(H,E,G,F))))))))))))))))))),input).
% 55.38/55.57 fof(c11,negated_conjecture,(~(![A]:(![B]:(![C]:(![D]:(![E]:(![F]:(![G]:(![H]:(![NWPNT1]:(![NWPNT2]:(![NWPNT3]:(![NWPNT4]:(![NWPNT5]:(![NWPNT6]:(![NWPNT7]:(![NWPNT8]:(![NWPNT9]:((((((((((circle(A,B,NWPNT1,NWPNT2)&circle(C,B,NWPNT3,NWPNT4))&circle(A,B,D,NWPNT5))&circle(C,B,D,NWPNT6))&circle(C,B,E,NWPNT7))&coll(D,E,F))&circle(A,D,F,NWPNT8))&coll(B,E,G))&circle(A,B,G,NWPNT9))&perp(C,E,E,H))=>para(H,E,G,F)))))))))))))))))))),inference(assume_negation,status(cth),[exemplo6GDDFULLmoreE0228])).
% 55.38/55.57 fof(c12,negated_conjecture,(?[A]:(?[B]:(?[C]:(?[D]:(?[E]:(?[F]:(?[G]:(?[H]:(?[NWPNT1]:(?[NWPNT2]:(?[NWPNT3]:(?[NWPNT4]:(?[NWPNT5]:(?[NWPNT6]:(?[NWPNT7]:(?[NWPNT8]:(?[NWPNT9]:((((((((((circle(A,B,NWPNT1,NWPNT2)&circle(C,B,NWPNT3,NWPNT4))&circle(A,B,D,NWPNT5))&circle(C,B,D,NWPNT6))&circle(C,B,E,NWPNT7))&coll(D,E,F))&circle(A,D,F,NWPNT8))&coll(B,E,G))&circle(A,B,G,NWPNT9))&perp(C,E,E,H))&~para(H,E,G,F))))))))))))))))))),inference(fof_nnf,status(thm),[c11])).
% 55.38/55.57 fof(c13,negated_conjecture,(?[A]:(?[B]:(?[C]:(?[D]:(?[E]:(?[F]:(?[G]:(?[H]:(((((((((((?[NWPNT1]:(?[NWPNT2]:circle(A,B,NWPNT1,NWPNT2)))&(?[NWPNT3]:(?[NWPNT4]:circle(C,B,NWPNT3,NWPNT4))))&(?[NWPNT5]:circle(A,B,D,NWPNT5)))&(?[NWPNT6]:circle(C,B,D,NWPNT6)))&(?[NWPNT7]:circle(C,B,E,NWPNT7)))&coll(D,E,F))&(?[NWPNT8]:circle(A,D,F,NWPNT8)))&coll(B,E,G))&(?[NWPNT9]:circle(A,B,G,NWPNT9)))&perp(C,E,E,H))&~para(H,E,G,F)))))))))),inference(shift_quantors,status(thm),[c12])).
% 55.38/55.57 fof(c14,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(?[X5]:(?[X6]:(?[X7]:(?[X8]:(?[X9]:(((((((((((?[X10]:(?[X11]:circle(X2,X3,X10,X11)))&(?[X12]:(?[X13]:circle(X4,X3,X12,X13))))&(?[X14]:circle(X2,X3,X5,X14)))&(?[X15]:circle(X4,X3,X5,X15)))&(?[X16]:circle(X4,X3,X6,X16)))&coll(X5,X6,X7))&(?[X17]:circle(X2,X5,X7,X17)))&coll(X3,X6,X8))&(?[X18]:circle(X2,X3,X8,X18)))&perp(X4,X6,X6,X9))&~para(X9,X6,X8,X7)))))))))),inference(variable_rename,status(thm),[c13])).
% 55.38/55.57 fof(c15,negated_conjecture,((((((((((circle(skolem0001,skolem0002,skolem0009,skolem0010)&circle(skolem0003,skolem0002,skolem0011,skolem0012))&circle(skolem0001,skolem0002,skolem0004,skolem0013))&circle(skolem0003,skolem0002,skolem0004,skolem0014))&circle(skolem0003,skolem0002,skolem0005,skolem0015))&coll(skolem0004,skolem0005,skolem0006))&circle(skolem0001,skolem0004,skolem0006,skolem0016))&coll(skolem0002,skolem0005,skolem0007))&circle(skolem0001,skolem0002,skolem0007,skolem0017))&perp(skolem0003,skolem0005,skolem0005,skolem0008))&~para(skolem0008,skolem0005,skolem0007,skolem0006)),inference(skolemize,status(esa),[c14])).
% 55.38/55.57 cnf(c26,negated_conjecture,~para(skolem0008,skolem0005,skolem0007,skolem0006),inference(split_conjunct,status(thm),[c15])).
% 55.38/55.57 fof(ruleD44,axiom,(![A]:(![B]:(![C]:(![E]:(![F]:((midp(E,A,B)&midp(F,A,C))=>para(E,F,B,C))))))),input).
% 55.38/55.57 fof(c266,axiom,(![A]:(![B]:(![C]:(![E]:(![F]:((~midp(E,A,B)|~midp(F,A,C))|para(E,F,B,C))))))),inference(fof_nnf,status(thm),[ruleD44])).
% 55.38/55.57 fof(c267,axiom,(![X276]:(![X277]:(![X278]:(![X279]:(![X280]:((~midp(X279,X276,X277)|~midp(X280,X276,X278))|para(X279,X280,X277,X278))))))),inference(variable_rename,status(thm),[c266])).
% 55.38/55.57 cnf(c268,axiom,~midp(X1060,X1058,X1062)|~midp(X1061,X1058,X1059)|para(X1060,X1061,X1062,X1059),inference(split_conjunct,status(thm),[c267])).
% 55.38/55.57 fof(ruleD1,axiom,(![A]:(![B]:(![C]:(coll(A,B,C)=>coll(A,C,B))))),input).
% 55.38/55.57 fof(c409,axiom,(![A]:(![B]:(![C]:(~coll(A,B,C)|coll(A,C,B))))),inference(fof_nnf,status(thm),[ruleD1])).
% 55.38/55.57 fof(c410,axiom,(![X537]:(![X538]:(![X539]:(~coll(X537,X538,X539)|coll(X537,X539,X538))))),inference(variable_rename,status(thm),[c409])).
% 55.38/55.57 cnf(c411,axiom,~coll(X581,X582,X580)|coll(X581,X580,X582),inference(split_conjunct,status(thm),[c410])).
% 55.38/55.57 fof(ruleD2,axiom,(![A]:(![B]:(![C]:(coll(A,B,C)=>coll(B,A,C))))),input).
% 55.38/55.57 fof(c406,axiom,(![A]:(![B]:(![C]:(~coll(A,B,C)|coll(B,A,C))))),inference(fof_nnf,status(thm),[ruleD2])).
% 55.38/55.57 fof(c407,axiom,(![X534]:(![X535]:(![X536]:(~coll(X534,X535,X536)|coll(X535,X534,X536))))),inference(variable_rename,status(thm),[c406])).
% 55.38/55.57 cnf(c408,axiom,~coll(X571,X570,X569)|coll(X570,X571,X569),inference(split_conjunct,status(thm),[c407])).
% 55.38/55.57 fof(ruleD66,axiom,(![A]:(![B]:(![C]:(para(A,B,A,C)=>coll(A,B,C))))),input).
% 55.38/55.57 fof(c192,axiom,(![A]:(![B]:(![C]:(~para(A,B,A,C)|coll(A,B,C))))),inference(fof_nnf,status(thm),[ruleD66])).
% 55.38/55.57 fof(c193,axiom,(![X173]:(![X174]:(![X175]:(~para(X173,X174,X173,X175)|coll(X173,X174,X175))))),inference(variable_rename,status(thm),[c192])).
% 55.38/55.57 cnf(c194,axiom,~para(X618,X616,X618,X617)|coll(X618,X616,X617),inference(split_conjunct,status(thm),[c193])).
% 55.38/55.57 fof(ruleD39,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(eqangle(A,B,P,Q,C,D,P,Q)=>para(A,B,C,D)))))))),input).
% 55.38/55.57 fof(c289,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])).
% 55.38/55.57 fof(c290,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),[c289])).
% 55.38/55.57 fof(c292,axiom,(![X305]:(![X306]:(![X307]:(![X308]:(![X309]:(![X310]:(~eqangle(X305,X306,X309,X310,X307,X308,X309,X310)|para(X305,X306,X307,X308)))))))),inference(shift_quantors,status(thm),[fof(c291,axiom,(![X305]:(![X306]:(![X307]:(![X308]:((![X309]:(![X310]:~eqangle(X305,X306,X309,X310,X307,X308,X309,X310)))|para(X305,X306,X307,X308)))))),inference(variable_rename,status(thm),[c290])).])).
% 55.38/55.57 cnf(c293,axiom,~eqangle(X1093,X1091,X1090,X1092,X1095,X1094,X1090,X1092)|para(X1093,X1091,X1095,X1094),inference(split_conjunct,status(thm),[c292])).
% 55.38/55.57 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).
% 55.38/55.57 fof(c353,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])).
% 55.38/55.57 fof(c354,axiom,(![X451]:(![X452]:(![X453]:(![X454]:(![X455]:(![X456]:(![X457]:(![X458]:(~eqangle(X451,X452,X453,X454,X455,X456,X457,X458)|eqangle(X453,X454,X451,X452,X457,X458,X455,X456)))))))))),inference(variable_rename,status(thm),[c353])).
% 55.38/55.57 cnf(c355,axiom,~eqangle(X1242,X1240,X1245,X1243,X1241,X1244,X1247,X1246)|eqangle(X1245,X1243,X1242,X1240,X1247,X1246,X1241,X1244),inference(split_conjunct,status(thm),[c354])).
% 55.38/55.57 fof(ruleD40,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(para(A,B,C,D)=>eqangle(A,B,P,Q,C,D,P,Q)))))))),input).
% 55.38/55.57 fof(c284,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])).
% 55.38/55.57 fof(c285,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),[c284])).
% 55.38/55.57 fof(c287,axiom,(![X299]:(![X300]:(![X301]:(![X302]:(![X303]:(![X304]:(~para(X299,X300,X301,X302)|eqangle(X299,X300,X303,X304,X301,X302,X303,X304)))))))),inference(shift_quantors,status(thm),[fof(c286,axiom,(![X299]:(![X300]:(![X301]:(![X302]:(~para(X299,X300,X301,X302)|(![X303]:(![X304]:eqangle(X299,X300,X303,X304,X301,X302,X303,X304)))))))),inference(variable_rename,status(thm),[c285])).])).
% 55.38/55.57 cnf(c288,axiom,~para(X1086,X1088,X1087,X1085)|eqangle(X1086,X1088,X1083,X1084,X1087,X1085,X1083,X1084),inference(split_conjunct,status(thm),[c287])).
% 55.38/55.57 fof(ruleD7,axiom,(![A]:(![B]:(![C]:(![D]:(perp(A,B,C,D)=>perp(A,B,D,C)))))),input).
% 55.38/55.57 fof(c391,axiom,(![A]:(![B]:(![C]:(![D]:(~perp(A,B,C,D)|perp(A,B,D,C)))))),inference(fof_nnf,status(thm),[ruleD7])).
% 55.38/55.57 fof(c392,axiom,(![X512]:(![X513]:(![X514]:(![X515]:(~perp(X512,X513,X514,X515)|perp(X512,X513,X515,X514)))))),inference(variable_rename,status(thm),[c391])).
% 55.38/55.57 cnf(c393,axiom,~perp(X677,X678,X676,X675)|perp(X677,X678,X675,X676),inference(split_conjunct,status(thm),[c392])).
% 55.38/55.57 fof(ruleD8,axiom,(![A]:(![B]:(![C]:(![D]:(perp(A,B,C,D)=>perp(C,D,A,B)))))),input).
% 55.38/55.57 fof(c388,axiom,(![A]:(![B]:(![C]:(![D]:(~perp(A,B,C,D)|perp(C,D,A,B)))))),inference(fof_nnf,status(thm),[ruleD8])).
% 55.38/55.58 fof(c389,axiom,(![X508]:(![X509]:(![X510]:(![X511]:(~perp(X508,X509,X510,X511)|perp(X510,X511,X508,X509)))))),inference(variable_rename,status(thm),[c388])).
% 55.38/55.58 cnf(c390,axiom,~perp(X671,X674,X672,X673)|perp(X672,X673,X671,X674),inference(split_conjunct,status(thm),[c389])).
% 55.38/55.58 cnf(c25,negated_conjecture,perp(skolem0003,skolem0005,skolem0005,skolem0008),inference(split_conjunct,status(thm),[c15])).
% 55.38/55.58 cnf(c458,plain,perp(skolem0005,skolem0008,skolem0003,skolem0005),inference(resolution,status(thm),[c390, c25])).
% 55.38/55.58 cnf(c461,plain,perp(skolem0005,skolem0008,skolem0005,skolem0003),inference(resolution,status(thm),[c393, c458])).
% 55.38/55.58 cnf(c464,plain,perp(skolem0005,skolem0003,skolem0005,skolem0008),inference(resolution,status(thm),[c461, c390])).
% 55.38/55.58 cnf(c469,plain,perp(skolem0005,skolem0003,skolem0008,skolem0005),inference(resolution,status(thm),[c464, c393])).
% 55.38/55.58 cnf(c462,plain,perp(skolem0003,skolem0005,skolem0008,skolem0005),inference(resolution,status(thm),[c393, c25])).
% 55.38/55.58 cnf(c467,plain,perp(skolem0008,skolem0005,skolem0003,skolem0005),inference(resolution,status(thm),[c462, c390])).
% 55.38/55.58 cnf(c472,plain,perp(skolem0008,skolem0005,skolem0005,skolem0003),inference(resolution,status(thm),[c467, c393])).
% 55.38/55.58 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).
% 55.38/55.58 fof(c385,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])).
% 55.38/55.58 fof(c386,axiom,(![X502]:(![X503]:(![X504]:(![X505]:(![X506]:(![X507]:((~perp(X502,X503,X504,X505)|~perp(X504,X505,X506,X507))|para(X502,X503,X506,X507)))))))),inference(variable_rename,status(thm),[c385])).
% 55.38/55.58 cnf(c387,axiom,~perp(X1286,X1284,X1283,X1285)|~perp(X1283,X1285,X1282,X1287)|para(X1286,X1284,X1282,X1287),inference(split_conjunct,status(thm),[c386])).
% 55.38/55.58 cnf(c1336,plain,~perp(X1646,X1647,skolem0008,skolem0005)|para(X1646,X1647,skolem0005,skolem0003),inference(resolution,status(thm),[c387, c472])).
% 55.38/55.58 cnf(c2306,plain,para(skolem0005,skolem0003,skolem0005,skolem0003),inference(resolution,status(thm),[c1336, c469])).
% 55.38/55.58 cnf(c2309,plain,eqangle(skolem0005,skolem0003,X1880,X1879,skolem0005,skolem0003,X1880,X1879),inference(resolution,status(thm),[c2306, c288])).
% 55.38/55.58 cnf(c3266,plain,eqangle(X2308,X2307,skolem0005,skolem0003,X2308,X2307,skolem0005,skolem0003),inference(resolution,status(thm),[c2309, c355])).
% 55.38/55.58 cnf(c4270,plain,para(X2310,X2309,X2310,X2309),inference(resolution,status(thm),[c3266, c293])).
% 55.38/55.58 cnf(c4298,plain,coll(X2311,X2312,X2312),inference(resolution,status(thm),[c4270, c194])).
% 55.38/55.58 cnf(c4418,plain,coll(X2314,X2313,X2314),inference(resolution,status(thm),[c4298, c408])).
% 55.38/55.58 cnf(c4733,plain,coll(X2322,X2322,X2323),inference(resolution,status(thm),[c4418, c411])).
% 55.38/55.58 fof(ruleD3,axiom,(![A]:(![B]:(![C]:(![D]:((coll(A,B,C)&coll(A,B,D))=>coll(C,D,A)))))),input).
% 55.38/55.58 fof(c403,axiom,(![A]:(![B]:(![C]:(![D]:((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A)))))),inference(fof_nnf,status(thm),[ruleD3])).
% 55.38/55.58 fof(c404,axiom,(![X530]:(![X531]:(![X532]:(![X533]:((~coll(X530,X531,X532)|~coll(X530,X531,X533))|coll(X532,X533,X530)))))),inference(variable_rename,status(thm),[c403])).
% 55.38/55.58 cnf(c405,axiom,~coll(X732,X730,X729)|~coll(X732,X730,X731)|coll(X729,X731,X732),inference(split_conjunct,status(thm),[c404])).
% 55.38/55.58 cnf(c4812,plain,~coll(X3067,X3067,X3065)|coll(X3065,X3066,X3067),inference(resolution,status(thm),[c4733, c405])).
% 55.38/55.58 cnf(c8335,plain,coll(X3072,X3071,X3070),inference(resolution,status(thm),[c4812, c4733])).
% 55.38/55.58 fof(ruleD67,axiom,(![A]:(![B]:(![C]:((cong(A,B,A,C)&coll(A,B,C))=>midp(A,B,C))))),input).
% 55.38/55.58 fof(c189,axiom,(![A]:(![B]:(![C]:((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))))),inference(fof_nnf,status(thm),[ruleD67])).
% 55.38/55.58 fof(c190,axiom,(![X170]:(![X171]:(![X172]:((~cong(X170,X171,X170,X172)|~coll(X170,X171,X172))|midp(X170,X171,X172))))),inference(variable_rename,status(thm),[c189])).
% 55.38/55.58 cnf(c191,axiom,~cong(X961,X963,X961,X962)|~coll(X961,X963,X962)|midp(X961,X963,X962),inference(split_conjunct,status(thm),[c190])).
% 55.38/55.58 fof(ruleD23,axiom,(![A]:(![B]:(![C]:(![D]:(cong(A,B,C,D)=>cong(A,B,D,C)))))),input).
% 55.38/55.58 fof(c341,axiom,(![A]:(![B]:(![C]:(![D]:(~cong(A,B,C,D)|cong(A,B,D,C)))))),inference(fof_nnf,status(thm),[ruleD23])).
% 55.38/55.58 fof(c342,axiom,(![X419]:(![X420]:(![X421]:(![X422]:(~cong(X419,X420,X421,X422)|cong(X419,X420,X422,X421)))))),inference(variable_rename,status(thm),[c341])).
% 55.38/55.58 cnf(c343,axiom,~cong(X641,X639,X640,X642)|cong(X641,X639,X642,X640),inference(split_conjunct,status(thm),[c342])).
% 55.38/55.58 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).
% 55.38/55.58 fof(c274,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])).
% 55.38/55.58 fof(c275,axiom,(![X287]:(![X288]:(![X289]:(![X290]:((~eqangle(X289,X287,X289,X288,X290,X287,X290,X288)|~coll(X289,X290,X288))|cyclic(X287,X288,X289,X290)))))),inference(variable_rename,status(thm),[c274])).
% 55.38/55.58 cnf(c276,axiom,~eqangle(X1070,X1069,X1070,X1071,X1072,X1069,X1072,X1071)|~coll(X1070,X1072,X1071)|cyclic(X1069,X1071,X1070,X1072),inference(split_conjunct,status(thm),[c275])).
% 55.38/55.58 cnf(c4285,plain,eqangle(X2934,X2935,X2937,X2936,X2934,X2935,X2937,X2936),inference(resolution,status(thm),[c4270, c288])).
% 55.38/55.58 cnf(c8077,plain,~coll(X3380,X3380,X3382)|cyclic(X3381,X3382,X3380,X3380),inference(resolution,status(thm),[c4285, c276])).
% 55.38/55.58 cnf(c9277,plain,cyclic(X3384,X3383,X3385,X3385),inference(resolution,status(thm),[c8077, c8335])).
% 55.38/55.58 fof(ruleD43,axiom,(![A]:(![B]:(![C]:(![P]:(![Q]:(![R]:((((cyclic(A,B,C,P)&cyclic(A,B,C,Q))&cyclic(A,B,C,R))&eqangle(C,A,C,B,R,P,R,Q))=>cong(A,B,P,Q)))))))),input).
% 55.38/55.58 fof(c269,axiom,(![A]:(![B]:(![C]:(![P]:(![Q]:(![R]:((((~cyclic(A,B,C,P)|~cyclic(A,B,C,Q))|~cyclic(A,B,C,R))|~eqangle(C,A,C,B,R,P,R,Q))|cong(A,B,P,Q)))))))),inference(fof_nnf,status(thm),[ruleD43])).
% 55.38/55.58 fof(c270,axiom,(![A]:(![B]:(![C]:(![P]:(![Q]:((![R]:(((~cyclic(A,B,C,P)|~cyclic(A,B,C,Q))|~cyclic(A,B,C,R))|~eqangle(C,A,C,B,R,P,R,Q)))|cong(A,B,P,Q))))))),inference(shift_quantors,status(thm),[c269])).
% 55.38/55.58 fof(c272,axiom,(![X281]:(![X282]:(![X283]:(![X284]:(![X285]:(![X286]:((((~cyclic(X281,X282,X283,X284)|~cyclic(X281,X282,X283,X285))|~cyclic(X281,X282,X283,X286))|~eqangle(X283,X281,X283,X282,X286,X284,X286,X285))|cong(X281,X282,X284,X285)))))))),inference(shift_quantors,status(thm),[fof(c271,axiom,(![X281]:(![X282]:(![X283]:(![X284]:(![X285]:((![X286]:(((~cyclic(X281,X282,X283,X284)|~cyclic(X281,X282,X283,X285))|~cyclic(X281,X282,X283,X286))|~eqangle(X283,X281,X283,X282,X286,X284,X286,X285)))|cong(X281,X282,X284,X285))))))),inference(variable_rename,status(thm),[c270])).])).
% 55.38/55.58 cnf(c273,axiom,~cyclic(X1065,X1064,X1066,X1068)|~cyclic(X1065,X1064,X1066,X1067)|~cyclic(X1065,X1064,X1066,X1063)|~eqangle(X1066,X1065,X1066,X1064,X1063,X1068,X1063,X1067)|cong(X1065,X1064,X1068,X1067),inference(split_conjunct,status(thm),[c272])).
% 55.38/55.58 fof(ruleD21,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(![U]:(![V]:(eqangle(A,B,C,D,P,Q,U,V)=>eqangle(A,B,P,Q,C,D,U,V)))))))))),input).
% 55.38/55.58 fof(c347,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(![U]:(![V]:(~eqangle(A,B,C,D,P,Q,U,V)|eqangle(A,B,P,Q,C,D,U,V)))))))))),inference(fof_nnf,status(thm),[ruleD21])).
% 55.38/55.58 fof(c348,axiom,(![X435]:(![X436]:(![X437]:(![X438]:(![X439]:(![X440]:(![X441]:(![X442]:(~eqangle(X435,X436,X437,X438,X439,X440,X441,X442)|eqangle(X435,X436,X439,X440,X437,X438,X441,X442)))))))))),inference(variable_rename,status(thm),[c347])).
% 55.38/55.58 cnf(c349,axiom,~eqangle(X1225,X1226,X1228,X1227,X1224,X1223,X1229,X1230)|eqangle(X1225,X1226,X1224,X1223,X1228,X1227,X1229,X1230),inference(split_conjunct,status(thm),[c348])).
% 55.38/55.58 fof(ruleD4,axiom,(![A]:(![B]:(![C]:(![D]:(para(A,B,C,D)=>para(A,B,D,C)))))),input).
% 55.38/55.58 fof(c400,axiom,(![A]:(![B]:(![C]:(![D]:(~para(A,B,C,D)|para(A,B,D,C)))))),inference(fof_nnf,status(thm),[ruleD4])).
% 55.38/55.58 fof(c401,axiom,(![X526]:(![X527]:(![X528]:(![X529]:(~para(X526,X527,X528,X529)|para(X526,X527,X529,X528)))))),inference(variable_rename,status(thm),[c400])).
% 55.38/55.58 cnf(c402,axiom,~para(X715,X716,X713,X714)|para(X715,X716,X714,X713),inference(split_conjunct,status(thm),[c401])).
% 55.38/55.58 cnf(c4300,plain,para(X2329,X2328,X2328,X2329),inference(resolution,status(thm),[c4270, c402])).
% 55.38/55.58 cnf(c4934,plain,eqangle(X3148,X3147,X3150,X3149,X3147,X3148,X3150,X3149),inference(resolution,status(thm),[c4300, c288])).
% 55.38/55.58 cnf(c8570,plain,eqangle(X3195,X3194,X3196,X3193,X3195,X3194,X3193,X3196),inference(resolution,status(thm),[c4934, c355])).
% 55.38/55.58 cnf(c8733,plain,eqangle(X3252,X3253,X3252,X3253,X3254,X3251,X3251,X3254),inference(resolution,status(thm),[c8570, c349])).
% 55.38/55.58 cnf(c8895,plain,~cyclic(X4340,X4340,X4341,X4342)|cong(X4340,X4340,X4342,X4342),inference(resolution,status(thm),[c8733, c273])).
% 55.38/55.58 cnf(c10062,plain,cong(X4344,X4344,X4343,X4343),inference(resolution,status(thm),[c8895, c9277])).
% 55.38/55.58 cnf(c10093,plain,~coll(X4362,X4362,X4362)|midp(X4362,X4362,X4362),inference(resolution,status(thm),[c10062, c191])).
% 55.38/55.58 cnf(c10106,plain,midp(X4363,X4363,X4363),inference(resolution,status(thm),[c10093, c8335])).
% 55.38/55.58 fof(ruleD52,axiom,(![A]:(![B]:(![C]:(![M]:((perp(A,B,B,C)&midp(M,A,C))=>cong(A,M,B,M)))))),input).
% 55.38/55.58 fof(c241,axiom,(![A]:(![B]:(![C]:(![M]:((~perp(A,B,B,C)|~midp(M,A,C))|cong(A,M,B,M)))))),inference(fof_nnf,status(thm),[ruleD52])).
% 55.38/55.58 fof(c242,axiom,(![X241]:(![X242]:(![X243]:(![X244]:((~perp(X241,X242,X242,X243)|~midp(X244,X241,X243))|cong(X241,X244,X242,X244)))))),inference(variable_rename,status(thm),[c241])).
% 55.38/55.58 cnf(c243,axiom,~perp(X1025,X1026,X1026,X1024)|~midp(X1023,X1025,X1024)|cong(X1025,X1023,X1026,X1023),inference(split_conjunct,status(thm),[c242])).
% 55.38/55.58 fof(ruleD74,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(![U]:(![V]:((eqangle(A,B,C,D,P,Q,U,V)&perp(P,Q,U,V))=>perp(A,B,C,D)))))))))),input).
% 55.38/55.58 fof(c162,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(![U]:(![V]:((~eqangle(A,B,C,D,P,Q,U,V)|~perp(P,Q,U,V))|perp(A,B,C,D)))))))))),inference(fof_nnf,status(thm),[ruleD74])).
% 55.38/55.58 fof(c163,axiom,(![A]:(![B]:(![C]:(![D]:((![P]:(![Q]:(![U]:(![V]:(~eqangle(A,B,C,D,P,Q,U,V)|~perp(P,Q,U,V))))))|perp(A,B,C,D)))))),inference(shift_quantors,status(thm),[c162])).
% 55.38/55.58 fof(c165,axiom,(![X134]:(![X135]:(![X136]:(![X137]:(![X138]:(![X139]:(![X140]:(![X141]:((~eqangle(X134,X135,X136,X137,X138,X139,X140,X141)|~perp(X138,X139,X140,X141))|perp(X134,X135,X136,X137)))))))))),inference(shift_quantors,status(thm),[fof(c164,axiom,(![X134]:(![X135]:(![X136]:(![X137]:((![X138]:(![X139]:(![X140]:(![X141]:(~eqangle(X134,X135,X136,X137,X138,X139,X140,X141)|~perp(X138,X139,X140,X141))))))|perp(X134,X135,X136,X137)))))),inference(variable_rename,status(thm),[c163])).])).
% 55.38/55.58 cnf(c166,axiom,~eqangle(X934,X931,X938,X932,X935,X933,X936,X937)|~perp(X935,X933,X936,X937)|perp(X934,X931,X938,X932),inference(split_conjunct,status(thm),[c165])).
% 55.38/55.58 cnf(c8580,plain,eqangle(X3205,X3204,X3204,X3205,X3203,X3206,X3203,X3206),inference(resolution,status(thm),[c4934, c349])).
% 55.38/55.58 cnf(c8748,plain,~perp(X4280,X4278,X4280,X4278)|perp(X4279,X4277,X4277,X4279),inference(resolution,status(thm),[c8580, c166])).
% 55.38/55.58 fof(ruleD57,axiom,(![A]:(![B]:(![P]:(![Q]:(((cong(A,P,B,P)&cong(A,Q,B,Q))&cyclic(A,B,P,Q))=>perp(P,A,A,Q)))))),input).
% 55.38/55.58 fof(c224,axiom,(![A]:(![B]:(![P]:(![Q]:(((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q))|perp(P,A,A,Q)))))),inference(fof_nnf,status(thm),[ruleD57])).
% 55.38/55.58 fof(c225,axiom,(![X221]:(![X222]:(![X223]:(![X224]:(((~cong(X221,X223,X222,X223)|~cong(X221,X224,X222,X224))|~cyclic(X221,X222,X223,X224))|perp(X223,X221,X221,X224)))))),inference(variable_rename,status(thm),[c224])).
% 55.38/55.58 cnf(c226,axiom,~cong(X1005,X1003,X1004,X1003)|~cong(X1005,X1006,X1004,X1006)|~cyclic(X1005,X1004,X1003,X1006)|perp(X1003,X1005,X1005,X1006),inference(split_conjunct,status(thm),[c225])).
% 55.38/55.58 cnf(c9284,plain,~cong(X4406,X4408,X4407,X4408)|perp(X4408,X4406,X4406,X4408),inference(resolution,status(thm),[c9277, c226])).
% 55.38/55.58 cnf(c10135,plain,perp(X4409,X4409,X4409,X4409),inference(resolution,status(thm),[c9284, c10062])).
% 55.38/55.58 cnf(c10147,plain,perp(X4414,X4413,X4413,X4414),inference(resolution,status(thm),[c10135, c8748])).
% 55.38/55.58 cnf(c10176,plain,~midp(X4488,X4487,X4487)|cong(X4487,X4488,X4486,X4488),inference(resolution,status(thm),[c10147, c243])).
% 55.38/55.58 cnf(c10367,plain,cong(X4490,X4490,X4489,X4490),inference(resolution,status(thm),[c10176, c10106])).
% 55.38/55.58 cnf(c10395,plain,cong(X4493,X4493,X4493,X4494),inference(resolution,status(thm),[c10367, c343])).
% 55.38/55.58 cnf(c10479,plain,~coll(X4558,X4558,X4559)|midp(X4558,X4558,X4559),inference(resolution,status(thm),[c10395, c191])).
% 55.38/55.58 cnf(c10623,plain,midp(X4563,X4563,X4562),inference(resolution,status(thm),[c10479, c8335])).
% 55.38/55.58 cnf(c10627,plain,~midp(X5519,X5518,X5517)|para(X5519,X5518,X5517,X5520),inference(resolution,status(thm),[c10623, c268])).
% 55.38/55.58 fof(ruleD24,axiom,(![A]:(![B]:(![C]:(![D]:(cong(A,B,C,D)=>cong(C,D,A,B)))))),input).
% 55.38/55.58 fof(c338,axiom,(![A]:(![B]:(![C]:(![D]:(~cong(A,B,C,D)|cong(C,D,A,B)))))),inference(fof_nnf,status(thm),[ruleD24])).
% 55.38/55.58 fof(c339,axiom,(![X415]:(![X416]:(![X417]:(![X418]:(~cong(X415,X416,X417,X418)|cong(X417,X418,X415,X416)))))),inference(variable_rename,status(thm),[c338])).
% 55.38/55.58 cnf(c340,axiom,~cong(X638,X635,X637,X636)|cong(X637,X636,X638,X635),inference(split_conjunct,status(thm),[c339])).
% 55.38/55.58 fof(ruleD55,axiom,(![A]:(![B]:(![M]:(![O]:((midp(M,A,B)&perp(O,M,A,B))=>cong(O,A,O,B)))))),input).
% 55.38/55.58 fof(c230,axiom,(![A]:(![B]:(![M]:(![O]:((~midp(M,A,B)|~perp(O,M,A,B))|cong(O,A,O,B)))))),inference(fof_nnf,status(thm),[ruleD55])).
% 55.38/55.58 fof(c231,axiom,(![X229]:(![X230]:(![X231]:(![X232]:((~midp(X231,X229,X230)|~perp(X232,X231,X229,X230))|cong(X232,X229,X232,X230)))))),inference(variable_rename,status(thm),[c230])).
% 55.38/55.58 cnf(c232,axiom,~midp(X1014,X1011,X1013)|~perp(X1012,X1014,X1011,X1013)|cong(X1012,X1011,X1012,X1013),inference(split_conjunct,status(thm),[c231])).
% 55.38/55.58 fof(ruleD73,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(![U]:(![V]:((eqangle(A,B,C,D,P,Q,U,V)¶(P,Q,U,V))=>para(A,B,C,D)))))))))),input).
% 55.38/55.58 fof(c167,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(![U]:(![V]:((~eqangle(A,B,C,D,P,Q,U,V)|~para(P,Q,U,V))|para(A,B,C,D)))))))))),inference(fof_nnf,status(thm),[ruleD73])).
% 55.38/55.58 fof(c168,axiom,(![A]:(![B]:(![C]:(![D]:((![P]:(![Q]:(![U]:(![V]:(~eqangle(A,B,C,D,P,Q,U,V)|~para(P,Q,U,V))))))|para(A,B,C,D)))))),inference(shift_quantors,status(thm),[c167])).
% 55.38/55.58 fof(c170,axiom,(![X142]:(![X143]:(![X144]:(![X145]:(![X146]:(![X147]:(![X148]:(![X149]:((~eqangle(X142,X143,X144,X145,X146,X147,X148,X149)|~para(X146,X147,X148,X149))|para(X142,X143,X144,X145)))))))))),inference(shift_quantors,status(thm),[fof(c169,axiom,(![X142]:(![X143]:(![X144]:(![X145]:((![X146]:(![X147]:(![X148]:(![X149]:(~eqangle(X142,X143,X144,X145,X146,X147,X148,X149)|~para(X146,X147,X148,X149))))))|para(X142,X143,X144,X145)))))),inference(variable_rename,status(thm),[c168])).])).
% 55.38/55.58 cnf(c171,axiom,~eqangle(X946,X943,X944,X942,X941,X940,X939,X945)|~para(X941,X940,X939,X945)|para(X946,X943,X944,X942),inference(split_conjunct,status(thm),[c170])).
% 55.38/55.58 fof(ruleD18,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(![U]:(![V]:(eqangle(A,B,C,D,P,Q,U,V)=>eqangle(B,A,C,D,P,Q,U,V)))))))))),input).
% 55.38/55.58 fof(c356,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(![U]:(![V]:(~eqangle(A,B,C,D,P,Q,U,V)|eqangle(B,A,C,D,P,Q,U,V)))))))))),inference(fof_nnf,status(thm),[ruleD18])).
% 55.38/55.58 fof(c357,axiom,(![X459]:(![X460]:(![X461]:(![X462]:(![X463]:(![X464]:(![X465]:(![X466]:(~eqangle(X459,X460,X461,X462,X463,X464,X465,X466)|eqangle(X460,X459,X461,X462,X463,X464,X465,X466)))))))))),inference(variable_rename,status(thm),[c356])).
% 55.38/55.58 cnf(c358,axiom,~eqangle(X1254,X1250,X1253,X1249,X1252,X1255,X1256,X1251)|eqangle(X1250,X1254,X1253,X1249,X1252,X1255,X1256,X1251),inference(split_conjunct,status(thm),[c357])).
% 55.38/55.58 cnf(c8722,plain,eqangle(X3237,X3240,X3239,X3238,X3240,X3237,X3238,X3239),inference(resolution,status(thm),[c8570, c358])).
% 55.38/55.58 cnf(c8882,plain,~para(X4322,X4321,X4323,X4324)|para(X4321,X4322,X4324,X4323),inference(resolution,status(thm),[c8722, c171])).
% 55.38/55.58 fof(ruleD11,axiom,(![A]:(![B]:(![M]:(midp(M,B,A)=>midp(M,A,B))))),input).
% 55.38/55.58 fof(c379,axiom,(![A]:(![B]:(![M]:(~midp(M,B,A)|midp(M,A,B))))),inference(fof_nnf,status(thm),[ruleD11])).
% 55.38/55.58 fof(c380,axiom,(![X493]:(![X494]:(![X495]:(~midp(X495,X494,X493)|midp(X495,X493,X494))))),inference(variable_rename,status(thm),[c379])).
% 55.38/55.58 cnf(c381,axiom,~midp(X567,X566,X568)|midp(X567,X568,X566),inference(split_conjunct,status(thm),[c380])).
% 55.38/55.58 cnf(c10671,plain,midp(X4565,X4564,X4565),inference(resolution,status(thm),[c10623, c381])).
% 55.38/55.58 cnf(c12001,plain,para(X5526,X5525,X5526,X5524),inference(resolution,status(thm),[c10627, c10671])).
% 55.38/55.58 cnf(c12049,plain,para(X5550,X5548,X5549,X5548),inference(resolution,status(thm),[c12001, c8882])).
% 55.38/55.58 fof(ruleD10,axiom,(![A]:(![B]:(![C]:(![D]:(![E]:(![F]:((para(A,B,C,D)&perp(C,D,E,F))=>perp(A,B,E,F)))))))),input).
% 55.38/55.58 fof(c382,axiom,(![A]:(![B]:(![C]:(![D]:(![E]:(![F]:((~para(A,B,C,D)|~perp(C,D,E,F))|perp(A,B,E,F)))))))),inference(fof_nnf,status(thm),[ruleD10])).
% 55.38/55.58 fof(c383,axiom,(![X496]:(![X497]:(![X498]:(![X499]:(![X500]:(![X501]:((~para(X496,X497,X498,X499)|~perp(X498,X499,X500,X501))|perp(X496,X497,X500,X501)))))))),inference(variable_rename,status(thm),[c382])).
% 55.38/55.58 cnf(c384,axiom,~para(X1275,X1279,X1280,X1278)|~perp(X1280,X1278,X1277,X1276)|perp(X1275,X1279,X1277,X1276),inference(split_conjunct,status(thm),[c383])).
% 55.38/55.58 cnf(c10146,plain,~para(X13451,X13450,X13449,X13449)|perp(X13451,X13450,X13449,X13449),inference(resolution,status(thm),[c10135, c384])).
% 55.38/55.58 cnf(c22117,plain,perp(X13458,X13457,X13457,X13457),inference(resolution,status(thm),[c10146, c12049])).
% 55.38/55.58 cnf(c22181,plain,~midp(X14154,X14154,X14154)|cong(X14155,X14154,X14155,X14154),inference(resolution,status(thm),[c22117, c232])).
% 55.38/55.58 cnf(c22844,plain,cong(X14157,X14156,X14157,X14156),inference(resolution,status(thm),[c22181, c10623])).
% 55.38/55.58 cnf(c22870,plain,~coll(X14173,X14174,X14174)|midp(X14173,X14174,X14174),inference(resolution,status(thm),[c22844, c191])).
% 55.38/55.58 cnf(c22932,plain,midp(X14175,X14176,X14176),inference(resolution,status(thm),[c22870, c8335])).
% 55.38/55.58 cnf(c22976,plain,cong(X14183,X14184,X14185,X14184),inference(resolution,status(thm),[c22932, c10176])).
% 55.38/55.58 cnf(c23085,plain,cong(X14199,X14200,X14200,X14201),inference(resolution,status(thm),[c22976, c343])).
% 55.38/55.58 cnf(c23097,plain,cong(X14202,X14203,X14204,X14202),inference(resolution,status(thm),[c23085, c340])).
% 55.38/55.58 cnf(c23156,plain,cong(X14213,X14215,X14213,X14214),inference(resolution,status(thm),[c23097, c343])).
% 55.38/55.58 cnf(c23178,plain,~coll(X14258,X14259,X14260)|midp(X14258,X14259,X14260),inference(resolution,status(thm),[c23156, c191])).
% 55.38/55.58 cnf(c23223,plain,midp(X14271,X14273,X14272),inference(resolution,status(thm),[c23178, c8335])).
% 55.38/55.58 cnf(c23232,plain,para(X14276,X14275,X14274,X14277),inference(resolution,status(thm),[c23223, c10627])).
% 55.38/55.58 cnf(c23254,plain,$false,inference(resolution,status(thm),[c23232, c26])).
% 55.38/55.58 # SZS output end CNFRefutation
% 55.38/55.58
% 55.38/55.58 # Initial clauses : 138
% 55.38/55.58 # Processed clauses : 2705
% 55.38/55.58 # Factors computed : 0
% 55.38/55.58 # Resolvents computed: 22848
% 55.38/55.58 # Tautologies deleted: 16
% 55.38/55.58 # Forward subsumed : 8993
% 55.38/55.58 # Backward subsumed : 2389
% 55.38/55.58 # -------- CPU Time ---------
% 55.38/55.58 # User time : 55.177 s
% 55.38/55.58 # System time : 0.047 s
% 55.38/55.58 # Total time : 55.224 s
%------------------------------------------------------------------------------