TSTP Solution File: GEO286+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO286+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.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 : 300s
% DateTime : Tue Apr 30 20:17:52 EDT 2024
% Result : Theorem 4.14s 0.91s
% Output : CNFRefutation 4.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : GEO286+1 : TPTP v8.1.2. Released v4.1.0.
% 0.13/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n013.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 : 300
% 0.13/0.35 % DateTime : Tue Apr 30 01:27:04 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.38 % Drodi V3.6.0
% 4.14/0.91 % Refutation found
% 4.14/0.91 % SZS status Theorem for theBenchmark: Theorem is valid
% 4.14/0.91 % SZS output start CNFRefutation for theBenchmark
% 4.14/0.91 fof(f1,conjecture,(
% 4.14/0.91 (? [Vd1153] :( rR(Vd1153,vd1123,vd1125)& ron(Vd1153,vd1152)& ron(Vd1153,vd1151)& rpoint(Vd1153) ) )),
% 4.14/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.14/0.91 fof(f2,negated_conjecture,(
% 4.14/0.91 ~((? [Vd1153] :( rR(Vd1153,vd1123,vd1125)& ron(Vd1153,vd1152)& ron(Vd1153,vd1151)& rpoint(Vd1153) ) ))),
% 4.14/0.91 inference(negated_conjecture,[status(cth)],[f1])).
% 4.14/0.91 fof(f3,axiom,(
% 4.14/0.91 ~ ron(vd1125,vd1152) ),
% 4.14/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.14/0.91 fof(f4,axiom,(
% 4.14/0.91 ~ rinside(vd1125,vd1152) ),
% 4.14/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.14/0.91 fof(f5,axiom,(
% 4.14/0.91 ( ron(vd1127,vd1152)& rcenter(vd1123,vd1152)& rcircle(vd1152)& ron(vd1125,vd1151)& ron(vd1123,vd1151) ) ),
% 4.14/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.14/0.91 fof(f6,axiom,(
% 4.14/0.91 vd1123 = vd1129 ),
% 4.14/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.14/0.91 fof(f7,axiom,(
% 4.14/0.91 ( rless(vf(vd1127,vd1129),vf(vd1123,vd1125))& vd1127 != vd1129& vd1123 != vd1125& vd1129 = vd1130& rpoint(vd1130)& vd1127 = vd1128& rpoint(vd1128)& vd1125 = vd1126& rpoint(vd1126)& vd1123 = vd1124& rpoint(vd1124) ) ),
% 4.14/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.14/0.91 fof(f12,axiom,(
% 4.14/0.91 rline(vd1151) ),
% 4.14/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.14/0.91 fof(f18,axiom,(
% 4.14/0.91 (! [Vd253,Vd254,Vd255,Vd256,Vd257,Vd258,Vd259,Vd260] :( ( ron(Vd259,Vd255)& ~ ron(Vd259,Vd253)& ~ rinside(Vd259,Vd253)& Vd259 = Vd260& rpoint(Vd260)& ron(Vd257,Vd255)& rinside(Vd257,Vd253)& Vd257 = Vd258& rpoint(Vd258)& Vd255 = Vd256& rline(Vd256)& Vd253 = Vd254& rcircle(Vd254) )=> (? [Vd261] :( rR(Vd261,Vd257,Vd259)& ron(Vd261,Vd253)& ron(Vd261,Vd255)& rpoint(Vd261) ) )) )),
% 4.14/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.14/0.91 fof(f84,axiom,(
% 4.14/0.91 (! [Vd334,Vd335] :( rcenter(Vd334,Vd335)=> rinside(Vd334,Vd335) ) )),
% 4.14/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.14/0.91 fof(f93,axiom,(
% 4.14/0.91 (! [Vd214,Vd215] :( ( Vd214 = Vd215& rcircle(Vd215) )=> (? [Vd216] :( ~ ron(Vd216,Vd214)& ~ rinside(Vd216,Vd214)& rpoint(Vd216) ) )) )),
% 4.14/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.14/0.91 fof(f94,axiom,(
% 4.14/0.91 (! [Vd211,Vd212] :( ( Vd211 = Vd212& rcircle(Vd212) )=> (? [Vd213] :( rinside(Vd213,Vd211)& rpoint(Vd213) ) )) )),
% 4.14/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.14/0.91 fof(f97,axiom,(
% 4.14/0.91 (! [Vd191,Vd192] :( ( Vd191 = Vd192& rcircle(Vd192) )=> (? [Vd193] :( ron(Vd193,Vd191)& rpoint(Vd193) ) )) )),
% 4.14/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.14/0.91 fof(f114,axiom,(
% 4.14/0.91 (! [Vd15,Vd16] :( ( Vd15 = Vd16& rpoint(Vd16) )=> (? [Vd17] :( Vd17 != Vd15& rpoint(Vd17) ) )) )),
% 4.14/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.14/0.91 fof(f137,plain,(
% 4.14/0.91 (![Vd1153]: (((~rR(Vd1153,vd1123,vd1125)|~ron(Vd1153,vd1152))|~ron(Vd1153,vd1151))|~rpoint(Vd1153)))),
% 4.14/0.91 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 4.14/0.91 fof(f138,plain,(
% 4.14/0.91 ![X0]: (~rR(X0,vd1123,vd1125)|~ron(X0,vd1152)|~ron(X0,vd1151)|~rpoint(X0))),
% 4.14/0.91 inference(cnf_transformation,[status(esa)],[f137])).
% 4.14/0.91 fof(f139,plain,(
% 4.14/0.91 ~ron(vd1125,vd1152)),
% 4.14/0.91 inference(cnf_transformation,[status(esa)],[f3])).
% 4.14/0.91 fof(f140,plain,(
% 4.14/0.91 ~rinside(vd1125,vd1152)),
% 4.14/0.91 inference(cnf_transformation,[status(esa)],[f4])).
% 4.14/0.91 fof(f142,plain,(
% 4.14/0.91 rcenter(vd1123,vd1152)),
% 4.14/0.91 inference(cnf_transformation,[status(esa)],[f5])).
% 4.14/0.91 fof(f143,plain,(
% 4.14/0.91 rcircle(vd1152)),
% 4.14/0.91 inference(cnf_transformation,[status(esa)],[f5])).
% 4.14/0.91 fof(f144,plain,(
% 4.14/0.91 ron(vd1125,vd1151)),
% 4.14/0.91 inference(cnf_transformation,[status(esa)],[f5])).
% 4.14/0.91 fof(f145,plain,(
% 4.14/0.91 ron(vd1123,vd1151)),
% 4.14/0.91 inference(cnf_transformation,[status(esa)],[f5])).
% 4.14/0.91 fof(f146,plain,(
% 4.14/0.91 vd1123=vd1129),
% 4.14/0.91 inference(cnf_transformation,[status(esa)],[f6])).
% 4.14/0.91 fof(f150,plain,(
% 4.14/0.91 vd1129=vd1130),
% 4.14/0.91 inference(cnf_transformation,[status(esa)],[f7])).
% 4.14/0.91 fof(f151,plain,(
% 4.14/0.91 rpoint(vd1130)),
% 4.14/0.91 inference(cnf_transformation,[status(esa)],[f7])).
% 4.14/0.91 fof(f154,plain,(
% 4.14/0.91 vd1125=vd1126),
% 4.14/0.91 inference(cnf_transformation,[status(esa)],[f7])).
% 4.14/0.91 fof(f155,plain,(
% 4.14/0.91 rpoint(vd1126)),
% 4.14/0.91 inference(cnf_transformation,[status(esa)],[f7])).
% 4.14/0.91 fof(f172,plain,(
% 4.14/0.91 rline(vd1151)),
% 4.14/0.91 inference(cnf_transformation,[status(esa)],[f12])).
% 4.14/0.91 fof(f197,plain,(
% 4.14/0.91 ![Vd253,Vd254,Vd255,Vd256,Vd257,Vd258,Vd259,Vd260]: (((((((((((((~ron(Vd259,Vd255)|ron(Vd259,Vd253))|rinside(Vd259,Vd253))|~Vd259=Vd260)|~rpoint(Vd260))|~ron(Vd257,Vd255))|~rinside(Vd257,Vd253))|~Vd257=Vd258)|~rpoint(Vd258))|~Vd255=Vd256)|~rline(Vd256))|~Vd253=Vd254)|~rcircle(Vd254))|(?[Vd261]: (((rR(Vd261,Vd257,Vd259)&ron(Vd261,Vd253))&ron(Vd261,Vd255))&rpoint(Vd261))))),
% 4.14/0.91 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 4.14/0.91 fof(f198,plain,(
% 4.14/0.91 ![Vd253,Vd255,Vd257,Vd259]: ((![Vd254]: (((![Vd256]: (((![Vd258]: (((((![Vd260]: ((((~ron(Vd259,Vd255)|ron(Vd259,Vd253))|rinside(Vd259,Vd253))|~Vd259=Vd260)|~rpoint(Vd260)))|~ron(Vd257,Vd255))|~rinside(Vd257,Vd253))|~Vd257=Vd258)|~rpoint(Vd258)))|~Vd255=Vd256)|~rline(Vd256)))|~Vd253=Vd254)|~rcircle(Vd254)))|(?[Vd261]: (((rR(Vd261,Vd257,Vd259)&ron(Vd261,Vd253))&ron(Vd261,Vd255))&rpoint(Vd261))))),
% 4.14/0.91 inference(miniscoping,[status(esa)],[f197])).
% 4.14/0.91 fof(f199,plain,(
% 4.14/0.91 ![Vd253,Vd255,Vd257,Vd259]: ((![Vd254]: (((![Vd256]: (((![Vd258]: (((((![Vd260]: ((((~ron(Vd259,Vd255)|ron(Vd259,Vd253))|rinside(Vd259,Vd253))|~Vd259=Vd260)|~rpoint(Vd260)))|~ron(Vd257,Vd255))|~rinside(Vd257,Vd253))|~Vd257=Vd258)|~rpoint(Vd258)))|~Vd255=Vd256)|~rline(Vd256)))|~Vd253=Vd254)|~rcircle(Vd254)))|(((rR(sk0_3(Vd259,Vd257,Vd255,Vd253),Vd257,Vd259)&ron(sk0_3(Vd259,Vd257,Vd255,Vd253),Vd253))&ron(sk0_3(Vd259,Vd257,Vd255,Vd253),Vd255))&rpoint(sk0_3(Vd259,Vd257,Vd255,Vd253))))),
% 4.14/0.91 inference(skolemization,[status(esa)],[f198])).
% 4.14/0.91 fof(f200,plain,(
% 4.14/0.91 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~ron(X0,X1)|ron(X0,X2)|rinside(X0,X2)|~X0=X3|~rpoint(X3)|~ron(X4,X1)|~rinside(X4,X2)|~X4=X5|~rpoint(X5)|~X1=X6|~rline(X6)|~X2=X7|~rcircle(X7)|rR(sk0_3(X0,X4,X1,X2),X4,X0))),
% 4.14/0.91 inference(cnf_transformation,[status(esa)],[f199])).
% 4.14/0.91 fof(f201,plain,(
% 4.14/0.91 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~ron(X0,X1)|ron(X0,X2)|rinside(X0,X2)|~X0=X3|~rpoint(X3)|~ron(X4,X1)|~rinside(X4,X2)|~X4=X5|~rpoint(X5)|~X1=X6|~rline(X6)|~X2=X7|~rcircle(X7)|ron(sk0_3(X0,X4,X1,X2),X2))),
% 4.14/0.91 inference(cnf_transformation,[status(esa)],[f199])).
% 4.14/0.91 fof(f202,plain,(
% 4.14/0.91 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~ron(X0,X1)|ron(X0,X2)|rinside(X0,X2)|~X0=X3|~rpoint(X3)|~ron(X4,X1)|~rinside(X4,X2)|~X4=X5|~rpoint(X5)|~X1=X6|~rline(X6)|~X2=X7|~rcircle(X7)|ron(sk0_3(X0,X4,X1,X2),X1))),
% 4.14/0.91 inference(cnf_transformation,[status(esa)],[f199])).
% 4.14/0.91 fof(f203,plain,(
% 4.14/0.91 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~ron(X0,X1)|ron(X0,X2)|rinside(X0,X2)|~X0=X3|~rpoint(X3)|~ron(X4,X1)|~rinside(X4,X2)|~X4=X5|~rpoint(X5)|~X1=X6|~rline(X6)|~X2=X7|~rcircle(X7)|rpoint(sk0_3(X0,X4,X1,X2)))),
% 4.14/0.91 inference(cnf_transformation,[status(esa)],[f199])).
% 4.14/0.91 fof(f408,plain,(
% 4.14/0.91 ![Vd334,Vd335]: (~rcenter(Vd334,Vd335)|rinside(Vd334,Vd335))),
% 4.14/0.91 inference(pre_NNF_transformation,[status(esa)],[f84])).
% 4.14/0.91 fof(f409,plain,(
% 4.14/0.91 ![X0,X1]: (~rcenter(X0,X1)|rinside(X0,X1))),
% 4.14/0.91 inference(cnf_transformation,[status(esa)],[f408])).
% 4.14/0.91 fof(f455,plain,(
% 4.14/0.91 ![Vd214,Vd215]: ((~Vd214=Vd215|~rcircle(Vd215))|(?[Vd216]: ((~ron(Vd216,Vd214)&~rinside(Vd216,Vd214))&rpoint(Vd216))))),
% 4.14/0.91 inference(pre_NNF_transformation,[status(esa)],[f93])).
% 4.14/0.91 fof(f456,plain,(
% 4.14/0.91 ![Vd214]: ((![Vd215]: (~Vd214=Vd215|~rcircle(Vd215)))|(?[Vd216]: ((~ron(Vd216,Vd214)&~rinside(Vd216,Vd214))&rpoint(Vd216))))),
% 4.14/0.91 inference(miniscoping,[status(esa)],[f455])).
% 4.14/0.91 fof(f457,plain,(
% 4.14/0.91 ![Vd214]: ((![Vd215]: (~Vd214=Vd215|~rcircle(Vd215)))|((~ron(sk0_19(Vd214),Vd214)&~rinside(sk0_19(Vd214),Vd214))&rpoint(sk0_19(Vd214))))),
% 4.14/0.91 inference(skolemization,[status(esa)],[f456])).
% 4.14/0.91 fof(f460,plain,(
% 4.14/0.91 ![X0,X1]: (~X0=X1|~rcircle(X1)|rpoint(sk0_19(X0)))),
% 4.14/0.91 inference(cnf_transformation,[status(esa)],[f457])).
% 4.14/0.91 fof(f461,plain,(
% 4.14/0.91 ![Vd211,Vd212]: ((~Vd211=Vd212|~rcircle(Vd212))|(?[Vd213]: (rinside(Vd213,Vd211)&rpoint(Vd213))))),
% 4.14/0.91 inference(pre_NNF_transformation,[status(esa)],[f94])).
% 4.14/0.91 fof(f462,plain,(
% 4.14/0.91 ![Vd211]: ((![Vd212]: (~Vd211=Vd212|~rcircle(Vd212)))|(?[Vd213]: (rinside(Vd213,Vd211)&rpoint(Vd213))))),
% 4.14/0.91 inference(miniscoping,[status(esa)],[f461])).
% 4.14/0.91 fof(f463,plain,(
% 4.14/0.91 ![Vd211]: ((![Vd212]: (~Vd211=Vd212|~rcircle(Vd212)))|(rinside(sk0_20(Vd211),Vd211)&rpoint(sk0_20(Vd211))))),
% 4.14/0.91 inference(skolemization,[status(esa)],[f462])).
% 4.14/0.91 fof(f465,plain,(
% 4.14/0.91 ![X0,X1]: (~X0=X1|~rcircle(X1)|rpoint(sk0_20(X0)))),
% 4.14/0.91 inference(cnf_transformation,[status(esa)],[f463])).
% 4.14/0.91 fof(f479,plain,(
% 4.14/0.91 ![Vd191,Vd192]: ((~Vd191=Vd192|~rcircle(Vd192))|(?[Vd193]: (ron(Vd193,Vd191)&rpoint(Vd193))))),
% 4.14/0.91 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 4.14/0.91 fof(f480,plain,(
% 4.14/0.91 ![Vd191]: ((![Vd192]: (~Vd191=Vd192|~rcircle(Vd192)))|(?[Vd193]: (ron(Vd193,Vd191)&rpoint(Vd193))))),
% 4.14/0.91 inference(miniscoping,[status(esa)],[f479])).
% 4.14/0.91 fof(f481,plain,(
% 4.14/0.91 ![Vd191]: ((![Vd192]: (~Vd191=Vd192|~rcircle(Vd192)))|(ron(sk0_23(Vd191),Vd191)&rpoint(sk0_23(Vd191))))),
% 4.14/0.91 inference(skolemization,[status(esa)],[f480])).
% 4.14/0.91 fof(f483,plain,(
% 4.14/0.91 ![X0,X1]: (~X0=X1|~rcircle(X1)|rpoint(sk0_23(X0)))),
% 4.14/0.91 inference(cnf_transformation,[status(esa)],[f481])).
% 4.14/0.91 fof(f582,plain,(
% 4.14/0.91 ![Vd15,Vd16]: ((~Vd15=Vd16|~rpoint(Vd16))|(?[Vd17]: (~Vd17=Vd15&rpoint(Vd17))))),
% 4.14/0.91 inference(pre_NNF_transformation,[status(esa)],[f114])).
% 4.14/0.91 fof(f583,plain,(
% 4.14/0.91 ![Vd15]: ((![Vd16]: (~Vd15=Vd16|~rpoint(Vd16)))|(?[Vd17]: (~Vd17=Vd15&rpoint(Vd17))))),
% 4.14/0.91 inference(miniscoping,[status(esa)],[f582])).
% 4.14/0.91 fof(f584,plain,(
% 4.14/0.91 ![Vd15]: ((![Vd16]: (~Vd15=Vd16|~rpoint(Vd16)))|(~sk0_40(Vd15)=Vd15&rpoint(sk0_40(Vd15))))),
% 4.14/0.91 inference(skolemization,[status(esa)],[f583])).
% 4.14/0.91 fof(f585,plain,(
% 4.14/0.91 ![X0,X1]: (~X0=X1|~rpoint(X1)|~sk0_40(X0)=X0)),
% 4.14/0.91 inference(cnf_transformation,[status(esa)],[f584])).
% 4.14/0.91 fof(f865,plain,(
% 4.14/0.91 ![X0,X1,X2,X3]: (~ron(X0,X1)|ron(X0,X2)|rinside(X0,X2)|~rpoint(X0)|~ron(X3,X1)|~rinside(X3,X2)|~rpoint(X3)|~rline(X1)|~rcircle(X2)|rR(sk0_3(X0,X3,X1,X2),X3,X0))),
% 4.14/0.91 inference(destructive_equality_resolution,[status(esa)],[f200])).
% 4.14/0.91 fof(f866,plain,(
% 4.14/0.91 ![X0,X1,X2,X3]: (~ron(X0,X1)|ron(X0,X2)|rinside(X0,X2)|~rpoint(X0)|~ron(X3,X1)|~rinside(X3,X2)|~rpoint(X3)|~rline(X1)|~rcircle(X2)|ron(sk0_3(X0,X3,X1,X2),X2))),
% 4.14/0.91 inference(destructive_equality_resolution,[status(esa)],[f201])).
% 4.14/0.91 fof(f867,plain,(
% 4.14/0.91 ![X0,X1,X2,X3]: (~ron(X0,X1)|ron(X0,X2)|rinside(X0,X2)|~rpoint(X0)|~ron(X3,X1)|~rinside(X3,X2)|~rpoint(X3)|~rline(X1)|~rcircle(X2)|ron(sk0_3(X0,X3,X1,X2),X1))),
% 4.14/0.91 inference(destructive_equality_resolution,[status(esa)],[f202])).
% 4.14/0.91 fof(f868,plain,(
% 4.14/0.91 ![X0,X1,X2,X3]: (~ron(X0,X1)|ron(X0,X2)|rinside(X0,X2)|~rpoint(X0)|~ron(X3,X1)|~rinside(X3,X2)|~rpoint(X3)|~rline(X1)|~rcircle(X2)|rpoint(sk0_3(X0,X3,X1,X2)))),
% 4.14/0.91 inference(destructive_equality_resolution,[status(esa)],[f203])).
% 4.14/0.91 fof(f950,plain,(
% 4.14/0.91 ![X0]: (~rcircle(X0)|rpoint(sk0_19(X0)))),
% 4.14/0.91 inference(destructive_equality_resolution,[status(esa)],[f460])).
% 4.14/0.91 fof(f952,plain,(
% 4.14/0.91 ![X0]: (~rcircle(X0)|rpoint(sk0_20(X0)))),
% 4.14/0.91 inference(destructive_equality_resolution,[status(esa)],[f465])).
% 4.14/0.91 fof(f961,plain,(
% 4.14/0.91 ![X0]: (~rcircle(X0)|rpoint(sk0_23(X0)))),
% 4.14/0.91 inference(destructive_equality_resolution,[status(esa)],[f483])).
% 4.14/0.91 fof(f1015,plain,(
% 4.14/0.91 ![X0]: (~rpoint(X0)|~sk0_40(X0)=X0)),
% 4.14/0.91 inference(destructive_equality_resolution,[status(esa)],[f585])).
% 4.14/0.91 fof(f1065,plain,(
% 4.14/0.91 spl0_40 <=> rline(vd1151)),
% 4.14/0.91 introduced(split_symbol_definition)).
% 4.14/0.91 fof(f1067,plain,(
% 4.14/0.91 ~rline(vd1151)|spl0_40),
% 4.14/0.91 inference(component_clause,[status(thm)],[f1065])).
% 4.14/0.91 fof(f1068,plain,(
% 4.14/0.91 spl0_41 <=> rpoint(vd1123)),
% 4.14/0.91 introduced(split_symbol_definition)).
% 4.14/0.91 fof(f1070,plain,(
% 4.14/0.91 ~rpoint(vd1123)|spl0_41),
% 4.14/0.91 inference(component_clause,[status(thm)],[f1068])).
% 4.14/0.91 fof(f1076,plain,(
% 4.14/0.91 spl0_43 <=> rpoint(vd1125)),
% 4.14/0.91 introduced(split_symbol_definition)).
% 4.14/0.91 fof(f1078,plain,(
% 4.14/0.91 ~rpoint(vd1125)|spl0_43),
% 4.14/0.91 inference(component_clause,[status(thm)],[f1076])).
% 4.14/0.91 fof(f1094,plain,(
% 4.14/0.91 vd1123=vd1130),
% 4.14/0.91 inference(forward_demodulation,[status(thm)],[f146,f150])).
% 4.14/0.91 fof(f1095,plain,(
% 4.14/0.91 rpoint(vd1123)),
% 4.14/0.91 inference(forward_demodulation,[status(thm)],[f1094,f151])).
% 4.14/0.91 fof(f1097,plain,(
% 4.14/0.91 rpoint(vd1125)),
% 4.14/0.91 inference(forward_demodulation,[status(thm)],[f154,f155])).
% 4.14/0.91 fof(f1140,plain,(
% 4.14/0.91 $false|spl0_43),
% 4.14/0.91 inference(forward_subsumption_resolution,[status(thm)],[f1078,f1097])).
% 4.14/0.91 fof(f1141,plain,(
% 4.14/0.91 spl0_43),
% 4.14/0.91 inference(contradiction_clause,[status(thm)],[f1140])).
% 4.14/0.91 fof(f1142,plain,(
% 4.14/0.91 $false|spl0_40),
% 4.14/0.91 inference(forward_subsumption_resolution,[status(thm)],[f1067,f172])).
% 4.14/0.91 fof(f1143,plain,(
% 4.14/0.91 spl0_40),
% 4.14/0.91 inference(contradiction_clause,[status(thm)],[f1142])).
% 4.14/0.91 fof(f1144,plain,(
% 4.14/0.91 $false|spl0_41),
% 4.14/0.91 inference(forward_subsumption_resolution,[status(thm)],[f1070,f1095])).
% 4.14/0.91 fof(f1145,plain,(
% 4.14/0.91 spl0_41),
% 4.14/0.91 inference(contradiction_clause,[status(thm)],[f1144])).
% 4.14/0.91 fof(f1159,plain,(
% 4.14/0.91 spl0_56 <=> ron(vd1125,vd1152)),
% 4.14/0.91 introduced(split_symbol_definition)).
% 4.14/0.91 fof(f1160,plain,(
% 4.14/0.91 ron(vd1125,vd1152)|~spl0_56),
% 4.14/0.91 inference(component_clause,[status(thm)],[f1159])).
% 4.14/0.91 fof(f1308,plain,(
% 4.14/0.91 spl0_83 <=> ron(vd1123,vd1151)),
% 4.14/0.91 introduced(split_symbol_definition)).
% 4.14/0.91 fof(f1310,plain,(
% 4.14/0.91 ~ron(vd1123,vd1151)|spl0_83),
% 4.14/0.91 inference(component_clause,[status(thm)],[f1308])).
% 4.14/0.91 fof(f1381,plain,(
% 4.14/0.91 rinside(vd1123,vd1152)),
% 4.14/0.91 inference(resolution,[status(thm)],[f409,f142])).
% 4.14/0.91 fof(f1390,plain,(
% 4.14/0.91 rpoint(sk0_19(vd1152))),
% 4.14/0.91 inference(resolution,[status(thm)],[f950,f143])).
% 4.14/0.91 fof(f1402,plain,(
% 4.14/0.91 ~sk0_40(sk0_19(vd1152))=sk0_19(vd1152)),
% 4.14/0.91 inference(resolution,[status(thm)],[f1390,f1015])).
% 4.14/0.91 fof(f1403,plain,(
% 4.14/0.91 rpoint(sk0_20(vd1152))),
% 4.14/0.91 inference(resolution,[status(thm)],[f952,f143])).
% 4.14/0.91 fof(f1415,plain,(
% 4.14/0.91 ~sk0_40(sk0_20(vd1152))=sk0_20(vd1152)),
% 4.14/0.91 inference(resolution,[status(thm)],[f1403,f1015])).
% 4.14/0.91 fof(f1416,plain,(
% 4.14/0.91 rpoint(sk0_23(vd1152))),
% 4.14/0.91 inference(resolution,[status(thm)],[f961,f143])).
% 4.14/0.91 fof(f1428,plain,(
% 4.14/0.91 ~sk0_40(sk0_23(vd1152))=sk0_23(vd1152)),
% 4.14/0.91 inference(resolution,[status(thm)],[f1416,f1015])).
% 4.14/0.91 fof(f1587,plain,(
% 4.14/0.91 spl0_128 <=> rcircle(vd1152)),
% 4.14/0.91 introduced(split_symbol_definition)).
% 4.14/0.91 fof(f1589,plain,(
% 4.14/0.91 ~rcircle(vd1152)|spl0_128),
% 4.14/0.91 inference(component_clause,[status(thm)],[f1587])).
% 4.14/0.91 fof(f1595,plain,(
% 4.14/0.91 $false|spl0_128),
% 4.14/0.91 inference(forward_subsumption_resolution,[status(thm)],[f1589,f143])).
% 4.14/0.91 fof(f1596,plain,(
% 4.14/0.91 spl0_128),
% 4.14/0.91 inference(contradiction_clause,[status(thm)],[f1595])).
% 4.14/0.91 fof(f1597,plain,(
% 4.14/0.91 $false|spl0_83),
% 4.14/0.91 inference(forward_subsumption_resolution,[status(thm)],[f1310,f145])).
% 4.14/0.91 fof(f1598,plain,(
% 4.14/0.91 spl0_83),
% 4.14/0.91 inference(contradiction_clause,[status(thm)],[f1597])).
% 4.14/0.91 fof(f2985,plain,(
% 4.14/0.91 spl0_350 <=> rinside(vd1125,vd1152)),
% 4.14/0.91 introduced(split_symbol_definition)).
% 4.14/0.91 fof(f2986,plain,(
% 4.14/0.91 rinside(vd1125,vd1152)|~spl0_350),
% 4.14/0.91 inference(component_clause,[status(thm)],[f2985])).
% 4.14/0.91 fof(f2991,plain,(
% 4.14/0.91 $false|~spl0_350),
% 4.14/0.91 inference(forward_subsumption_resolution,[status(thm)],[f2986,f140])).
% 4.14/0.91 fof(f2992,plain,(
% 4.14/0.91 ~spl0_350),
% 4.14/0.91 inference(contradiction_clause,[status(thm)],[f2991])).
% 4.14/0.91 fof(f4202,plain,(
% 4.14/0.91 spl0_538 <=> ron(vd1125,X0)|rinside(vd1125,X0)|~ron(X1,vd1151)|~rinside(X1,X0)|~rpoint(X1)|~rcircle(X0)|rR(sk0_3(vd1125,X1,vd1151,X0),X1,vd1125)),
% 4.14/0.91 introduced(split_symbol_definition)).
% 4.14/0.91 fof(f4203,plain,(
% 4.14/0.91 ![X0,X1]: (ron(vd1125,X0)|rinside(vd1125,X0)|~ron(X1,vd1151)|~rinside(X1,X0)|~rpoint(X1)|~rcircle(X0)|rR(sk0_3(vd1125,X1,vd1151,X0),X1,vd1125)|~spl0_538)),
% 4.14/0.91 inference(component_clause,[status(thm)],[f4202])).
% 4.14/0.91 fof(f4205,plain,(
% 4.14/0.91 ![X0,X1]: (ron(vd1125,X0)|rinside(vd1125,X0)|~rpoint(vd1125)|~ron(X1,vd1151)|~rinside(X1,X0)|~rpoint(X1)|~rline(vd1151)|~rcircle(X0)|rR(sk0_3(vd1125,X1,vd1151,X0),X1,vd1125))),
% 4.14/0.91 inference(resolution,[status(thm)],[f865,f144])).
% 4.14/0.91 fof(f4206,plain,(
% 4.14/0.91 spl0_538|~spl0_43|~spl0_40),
% 4.14/0.91 inference(split_clause,[status(thm)],[f4205,f4202,f1076,f1065])).
% 4.14/0.91 fof(f4222,plain,(
% 4.14/0.91 spl0_542 <=> ron(vd1125,X0)|rinside(vd1125,X0)|~ron(X1,vd1151)|~rinside(X1,X0)|~rpoint(X1)|~rcircle(X0)|ron(sk0_3(vd1125,X1,vd1151,X0),X0)),
% 4.14/0.91 introduced(split_symbol_definition)).
% 4.14/0.91 fof(f4223,plain,(
% 4.14/0.91 ![X0,X1]: (ron(vd1125,X0)|rinside(vd1125,X0)|~ron(X1,vd1151)|~rinside(X1,X0)|~rpoint(X1)|~rcircle(X0)|ron(sk0_3(vd1125,X1,vd1151,X0),X0)|~spl0_542)),
% 4.14/0.91 inference(component_clause,[status(thm)],[f4222])).
% 4.14/0.91 fof(f4225,plain,(
% 4.14/0.91 ![X0,X1]: (ron(vd1125,X0)|rinside(vd1125,X0)|~rpoint(vd1125)|~ron(X1,vd1151)|~rinside(X1,X0)|~rpoint(X1)|~rline(vd1151)|~rcircle(X0)|ron(sk0_3(vd1125,X1,vd1151,X0),X0))),
% 4.14/0.91 inference(resolution,[status(thm)],[f866,f144])).
% 4.14/0.91 fof(f4226,plain,(
% 4.14/0.91 spl0_542|~spl0_43|~spl0_40),
% 4.14/0.91 inference(split_clause,[status(thm)],[f4225,f4222,f1076,f1065])).
% 4.14/0.91 fof(f4237,plain,(
% 4.14/0.91 spl0_545 <=> rR(sk0_3(vd1125,vd1123,vd1151,vd1152),vd1123,vd1125)),
% 4.14/0.91 introduced(split_symbol_definition)).
% 4.14/0.91 fof(f4238,plain,(
% 4.14/0.91 rR(sk0_3(vd1125,vd1123,vd1151,vd1152),vd1123,vd1125)|~spl0_545),
% 4.14/0.91 inference(component_clause,[status(thm)],[f4237])).
% 4.14/0.91 fof(f4240,plain,(
% 4.14/0.91 ron(vd1125,vd1152)|rinside(vd1125,vd1152)|~ron(vd1123,vd1151)|~rpoint(vd1123)|~rcircle(vd1152)|rR(sk0_3(vd1125,vd1123,vd1151,vd1152),vd1123,vd1125)|~spl0_538),
% 4.14/0.91 inference(resolution,[status(thm)],[f4203,f1381])).
% 4.14/0.91 fof(f4241,plain,(
% 4.14/0.91 spl0_56|spl0_350|~spl0_83|~spl0_41|~spl0_128|spl0_545|~spl0_538),
% 4.14/0.91 inference(split_clause,[status(thm)],[f4240,f1159,f2985,f1308,f1068,f1587,f4237,f4202])).
% 4.14/0.91 fof(f4242,plain,(
% 4.14/0.91 $false|~spl0_56),
% 4.14/0.91 inference(forward_subsumption_resolution,[status(thm)],[f1160,f139])).
% 4.14/0.91 fof(f4243,plain,(
% 4.14/0.91 ~spl0_56),
% 4.14/0.91 inference(contradiction_clause,[status(thm)],[f4242])).
% 4.14/0.91 fof(f4259,plain,(
% 4.14/0.91 spl0_549 <=> ron(sk0_3(vd1125,vd1123,vd1151,vd1152),vd1152)),
% 4.14/0.91 introduced(split_symbol_definition)).
% 4.14/0.91 fof(f4262,plain,(
% 4.14/0.91 ron(vd1125,vd1152)|rinside(vd1125,vd1152)|~ron(vd1123,vd1151)|~rpoint(vd1123)|~rcircle(vd1152)|ron(sk0_3(vd1125,vd1123,vd1151,vd1152),vd1152)|~spl0_542),
% 4.14/0.91 inference(resolution,[status(thm)],[f4223,f1381])).
% 4.14/0.91 fof(f4263,plain,(
% 4.14/0.91 spl0_56|spl0_350|~spl0_83|~spl0_41|~spl0_128|spl0_549|~spl0_542),
% 4.14/0.91 inference(split_clause,[status(thm)],[f4262,f1159,f2985,f1308,f1068,f1587,f4259,f4222])).
% 4.14/0.91 fof(f4423,plain,(
% 4.14/0.91 spl0_569 <=> rpoint(sk0_19(vd1152))),
% 4.14/0.91 introduced(split_symbol_definition)).
% 4.14/0.91 fof(f4425,plain,(
% 4.14/0.91 ~rpoint(sk0_19(vd1152))|spl0_569),
% 4.14/0.91 inference(component_clause,[status(thm)],[f4423])).
% 4.14/0.91 fof(f4565,plain,(
% 4.14/0.91 spl0_578 <=> ron(vd1125,X0)|rinside(vd1125,X0)|~ron(X1,vd1151)|~rinside(X1,X0)|~rpoint(X1)|~rcircle(X0)|ron(sk0_3(vd1125,X1,vd1151,X0),vd1151)),
% 4.14/0.91 introduced(split_symbol_definition)).
% 4.14/0.91 fof(f4566,plain,(
% 4.14/0.91 ![X0,X1]: (ron(vd1125,X0)|rinside(vd1125,X0)|~ron(X1,vd1151)|~rinside(X1,X0)|~rpoint(X1)|~rcircle(X0)|ron(sk0_3(vd1125,X1,vd1151,X0),vd1151)|~spl0_578)),
% 4.14/0.91 inference(component_clause,[status(thm)],[f4565])).
% 4.14/0.91 fof(f4568,plain,(
% 4.14/0.91 ![X0,X1]: (ron(vd1125,X0)|rinside(vd1125,X0)|~rpoint(vd1125)|~ron(X1,vd1151)|~rinside(X1,X0)|~rpoint(X1)|~rline(vd1151)|~rcircle(X0)|ron(sk0_3(vd1125,X1,vd1151,X0),vd1151))),
% 4.14/0.91 inference(resolution,[status(thm)],[f867,f144])).
% 4.14/0.91 fof(f4569,plain,(
% 4.14/0.91 spl0_578|~spl0_43|~spl0_40),
% 4.14/0.91 inference(split_clause,[status(thm)],[f4568,f4565,f1076,f1065])).
% 4.14/0.91 fof(f4585,plain,(
% 4.14/0.91 spl0_582 <=> ron(vd1125,X0)|rinside(vd1125,X0)|~ron(X1,vd1151)|~rinside(X1,X0)|~rpoint(X1)|~rcircle(X0)|rpoint(sk0_3(vd1125,X1,vd1151,X0))),
% 4.14/0.91 introduced(split_symbol_definition)).
% 4.14/0.91 fof(f4586,plain,(
% 4.14/0.91 ![X0,X1]: (ron(vd1125,X0)|rinside(vd1125,X0)|~ron(X1,vd1151)|~rinside(X1,X0)|~rpoint(X1)|~rcircle(X0)|rpoint(sk0_3(vd1125,X1,vd1151,X0))|~spl0_582)),
% 4.14/0.91 inference(component_clause,[status(thm)],[f4585])).
% 4.14/0.91 fof(f4588,plain,(
% 4.14/0.91 ![X0,X1]: (ron(vd1125,X0)|rinside(vd1125,X0)|~rpoint(vd1125)|~ron(X1,vd1151)|~rinside(X1,X0)|~rpoint(X1)|~rline(vd1151)|~rcircle(X0)|rpoint(sk0_3(vd1125,X1,vd1151,X0)))),
% 4.14/0.91 inference(resolution,[status(thm)],[f868,f144])).
% 4.14/0.91 fof(f4589,plain,(
% 4.14/0.91 spl0_582|~spl0_43|~spl0_40),
% 4.14/0.91 inference(split_clause,[status(thm)],[f4588,f4585,f1076,f1065])).
% 4.14/0.91 fof(f4630,plain,(
% 4.14/0.91 spl0_585 <=> ron(sk0_3(vd1125,vd1123,vd1151,vd1152),vd1151)),
% 4.14/0.91 introduced(split_symbol_definition)).
% 4.14/0.91 fof(f4633,plain,(
% 4.14/0.91 ron(vd1125,vd1152)|rinside(vd1125,vd1152)|~ron(vd1123,vd1151)|~rpoint(vd1123)|~rcircle(vd1152)|ron(sk0_3(vd1125,vd1123,vd1151,vd1152),vd1151)|~spl0_578),
% 4.14/0.91 inference(resolution,[status(thm)],[f4566,f1381])).
% 4.14/0.91 fof(f4634,plain,(
% 4.14/0.91 spl0_56|spl0_350|~spl0_83|~spl0_41|~spl0_128|spl0_585|~spl0_578),
% 4.14/0.91 inference(split_clause,[status(thm)],[f4633,f1159,f2985,f1308,f1068,f1587,f4630,f4565])).
% 4.14/0.91 fof(f4712,plain,(
% 4.14/0.91 spl0_597 <=> rpoint(sk0_3(vd1125,vd1123,vd1151,vd1152))),
% 4.14/0.91 introduced(split_symbol_definition)).
% 4.14/0.91 fof(f4715,plain,(
% 4.14/0.91 ron(vd1125,vd1152)|rinside(vd1125,vd1152)|~ron(vd1123,vd1151)|~rpoint(vd1123)|~rcircle(vd1152)|rpoint(sk0_3(vd1125,vd1123,vd1151,vd1152))|~spl0_582),
% 4.14/0.91 inference(resolution,[status(thm)],[f4586,f1381])).
% 4.14/0.91 fof(f4716,plain,(
% 4.14/0.91 spl0_56|spl0_350|~spl0_83|~spl0_41|~spl0_128|spl0_597|~spl0_582),
% 4.14/0.91 inference(split_clause,[status(thm)],[f4715,f1159,f2985,f1308,f1068,f1587,f4712,f4585])).
% 4.14/0.91 fof(f5520,plain,(
% 4.14/0.91 spl0_699 <=> sk0_40(sk0_23(vd1152))=sk0_23(vd1152)),
% 4.14/0.91 introduced(split_symbol_definition)).
% 4.14/0.91 fof(f5521,plain,(
% 4.14/0.91 sk0_40(sk0_23(vd1152))=sk0_23(vd1152)|~spl0_699),
% 4.14/0.91 inference(component_clause,[status(thm)],[f5520])).
% 4.14/0.91 fof(f5616,plain,(
% 4.14/0.91 $false|~spl0_699),
% 4.14/0.91 inference(forward_subsumption_resolution,[status(thm)],[f5521,f1428])).
% 4.14/0.91 fof(f5617,plain,(
% 4.14/0.91 ~spl0_699),
% 4.14/0.91 inference(contradiction_clause,[status(thm)],[f5616])).
% 4.14/0.91 fof(f5744,plain,(
% 4.14/0.91 spl0_753 <=> sk0_40(sk0_20(vd1152))=sk0_20(vd1152)),
% 4.14/0.91 introduced(split_symbol_definition)).
% 4.14/0.91 fof(f5745,plain,(
% 4.14/0.91 sk0_40(sk0_20(vd1152))=sk0_20(vd1152)|~spl0_753),
% 4.14/0.91 inference(component_clause,[status(thm)],[f5744])).
% 4.14/0.91 fof(f5845,plain,(
% 4.14/0.91 $false|~spl0_753),
% 4.14/0.91 inference(forward_subsumption_resolution,[status(thm)],[f5745,f1415])).
% 4.14/0.91 fof(f5846,plain,(
% 4.14/0.91 ~spl0_753),
% 4.14/0.91 inference(contradiction_clause,[status(thm)],[f5845])).
% 4.14/0.91 fof(f5959,plain,(
% 4.14/0.91 spl0_806 <=> sk0_40(sk0_19(vd1152))=sk0_19(vd1152)),
% 4.14/0.91 introduced(split_symbol_definition)).
% 4.14/0.91 fof(f5960,plain,(
% 4.14/0.91 sk0_40(sk0_19(vd1152))=sk0_19(vd1152)|~spl0_806),
% 4.14/0.91 inference(component_clause,[status(thm)],[f5959])).
% 4.14/0.91 fof(f6065,plain,(
% 4.14/0.91 $false|~spl0_806),
% 4.14/0.91 inference(forward_subsumption_resolution,[status(thm)],[f5960,f1402])).
% 4.14/0.91 fof(f6066,plain,(
% 4.14/0.91 ~spl0_806),
% 4.14/0.91 inference(contradiction_clause,[status(thm)],[f6065])).
% 4.14/0.91 fof(f6288,plain,(
% 4.14/0.91 $false|spl0_569),
% 4.14/0.91 inference(forward_subsumption_resolution,[status(thm)],[f4425,f1390])).
% 4.14/0.91 fof(f6289,plain,(
% 4.14/0.91 spl0_569),
% 4.14/0.91 inference(contradiction_clause,[status(thm)],[f6288])).
% 4.14/0.91 fof(f7714,plain,(
% 4.14/0.91 ~ron(sk0_3(vd1125,vd1123,vd1151,vd1152),vd1152)|~ron(sk0_3(vd1125,vd1123,vd1151,vd1152),vd1151)|~rpoint(sk0_3(vd1125,vd1123,vd1151,vd1152))|~spl0_545),
% 4.14/0.91 inference(resolution,[status(thm)],[f4238,f138])).
% 4.14/0.91 fof(f7715,plain,(
% 4.14/0.91 ~spl0_549|~spl0_585|~spl0_597|~spl0_545),
% 4.14/0.91 inference(split_clause,[status(thm)],[f7714,f4259,f4630,f4712,f4237])).
% 4.14/0.91 fof(f7747,plain,(
% 4.14/0.91 $false),
% 4.14/0.91 inference(sat_refutation,[status(thm)],[f1141,f1143,f1145,f1596,f1598,f2992,f4206,f4226,f4241,f4243,f4263,f4569,f4589,f4634,f4716,f5617,f5846,f6066,f6289,f7715])).
% 4.14/0.91 % SZS output end CNFRefutation for theBenchmark.p
% 4.14/0.92 % Elapsed time: 0.563880 seconds
% 4.14/0.92 % CPU time: 4.268722 seconds
% 4.14/0.92 % Total memory used: 100.555 MB
% 4.14/0.92 % Net memory used: 98.890 MB
%------------------------------------------------------------------------------