TSTP Solution File: GEO587+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO587+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 20:18:20 EDT 2024
% Result : Theorem 51.27s 6.79s
% Output : CNFRefutation 51.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : GEO587+1 : TPTP v8.1.2. Released v7.5.0.
% 0.04/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n026.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Apr 30 01:52:19 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.31 % Drodi V3.6.0
% 51.27/6.79 % Refutation found
% 51.27/6.79 % SZS status Theorem for theBenchmark: Theorem is valid
% 51.27/6.79 % SZS output start CNFRefutation for theBenchmark
% 51.27/6.79 fof(f4,axiom,(
% 51.27/6.79 (! [A,B,C,D] :( para(A,B,C,D)=> para(A,B,D,C) ) )),
% 51.27/6.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 51.27/6.79 fof(f5,axiom,(
% 51.27/6.79 (! [A,B,C,D] :( para(A,B,C,D)=> para(C,D,A,B) ) )),
% 51.27/6.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 51.27/6.79 fof(f7,axiom,(
% 51.27/6.79 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(A,B,D,C) ) )),
% 51.27/6.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 51.27/6.79 fof(f8,axiom,(
% 51.27/6.79 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 51.27/6.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 51.27/6.79 fof(f9,axiom,(
% 51.27/6.79 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 51.27/6.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 51.27/6.79 fof(f10,axiom,(
% 51.27/6.79 (! [A,B,C,D,E,F] :( ( para(A,B,C,D)& perp(C,D,E,F) )=> perp(A,B,E,F) ) )),
% 51.27/6.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 51.27/6.79 fof(f17,axiom,(
% 51.27/6.79 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 51.27/6.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 51.27/6.79 fof(f18,axiom,(
% 51.27/6.79 (! [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) ) )),
% 51.27/6.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 51.27/6.79 fof(f19,axiom,(
% 51.27/6.79 (! [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) ) )),
% 51.27/6.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 51.27/6.79 fof(f21,axiom,(
% 51.27/6.79 (! [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) ) )),
% 51.27/6.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 51.27/6.79 fof(f23,axiom,(
% 51.27/6.79 (! [A,B,C,D] :( cong(A,B,C,D)=> cong(A,B,D,C) ) )),
% 51.27/6.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 51.27/6.79 fof(f24,axiom,(
% 51.27/6.79 (! [A,B,C,D] :( cong(A,B,C,D)=> cong(C,D,A,B) ) )),
% 51.27/6.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 51.27/6.79 fof(f39,axiom,(
% 51.27/6.79 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 51.27/6.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 51.27/6.79 fof(f40,axiom,(
% 51.27/6.79 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 51.27/6.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 51.27/6.79 fof(f41,axiom,(
% 51.27/6.79 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 51.27/6.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 51.27/6.79 fof(f42,axiom,(
% 51.27/6.79 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& ~ coll(P,Q,A) )=> cyclic(A,B,P,Q) ) )),
% 51.27/6.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 51.27/6.79 fof(f43,axiom,(
% 51.27/6.79 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 51.27/6.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 51.27/6.79 fof(f44,axiom,(
% 51.27/6.79 (! [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) ) )),
% 51.27/6.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 51.27/6.79 fof(f53,axiom,(
% 51.27/6.79 (! [A,B,C,M] :( ( perp(A,B,B,C)& midp(M,A,C) )=> cong(A,M,B,M) ) )),
% 51.27/6.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 51.27/6.79 fof(f58,axiom,(
% 51.27/6.79 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q)& cyclic(A,B,P,Q) )=> perp(P,A,A,Q) ) )),
% 51.27/6.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 51.27/6.79 fof(f67,axiom,(
% 51.27/6.79 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 51.27/6.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 51.27/6.79 fof(f68,axiom,(
% 51.27/6.79 (! [A,B,C] :( ( cong(A,B,A,C)& coll(A,B,C) )=> midp(A,B,C) ) )),
% 51.27/6.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 51.27/6.79 fof(f95,conjecture,(
% 51.27/6.79 (! [A,C,B,D,P,Q,R,S,O] :( ( perp(A,C,B,D)& midp(P,B,A)& midp(Q,C,B)& midp(R,D,C)& midp(S,A,D)& coll(O,P,R)& coll(O,Q,S) )=> cong(O,S,O,R) ) )),
% 51.27/6.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 51.27/6.79 fof(f96,negated_conjecture,(
% 51.27/6.79 ~((! [A,C,B,D,P,Q,R,S,O] :( ( perp(A,C,B,D)& midp(P,B,A)& midp(Q,C,B)& midp(R,D,C)& midp(S,A,D)& coll(O,P,R)& coll(O,Q,S) )=> cong(O,S,O,R) ) ))),
% 51.27/6.79 inference(negated_conjecture,[status(cth)],[f95])).
% 51.27/6.79 fof(f104,plain,(
% 51.27/6.79 ![A,B,C,D]: (~para(A,B,C,D)|para(A,B,D,C))),
% 51.27/6.79 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 51.27/6.79 fof(f105,plain,(
% 51.27/6.79 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X0,X1,X3,X2))),
% 51.27/6.79 inference(cnf_transformation,[status(esa)],[f104])).
% 51.27/6.79 fof(f106,plain,(
% 51.27/6.79 ![A,B,C,D]: (~para(A,B,C,D)|para(C,D,A,B))),
% 51.27/6.79 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 51.27/6.79 fof(f107,plain,(
% 51.27/6.79 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X2,X3,X0,X1))),
% 51.27/6.79 inference(cnf_transformation,[status(esa)],[f106])).
% 51.27/6.79 fof(f111,plain,(
% 51.27/6.79 ![A,B,C,D]: (~perp(A,B,C,D)|perp(A,B,D,C))),
% 51.27/6.79 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 51.27/6.79 fof(f112,plain,(
% 51.27/6.79 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X0,X1,X3,X2))),
% 51.27/6.79 inference(cnf_transformation,[status(esa)],[f111])).
% 51.27/6.79 fof(f113,plain,(
% 51.27/6.79 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 51.27/6.79 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 51.27/6.79 fof(f114,plain,(
% 51.27/6.79 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 51.27/6.79 inference(cnf_transformation,[status(esa)],[f113])).
% 51.27/6.79 fof(f115,plain,(
% 51.27/6.79 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 51.27/6.79 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 51.27/6.79 fof(f116,plain,(
% 51.27/6.79 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 51.27/6.79 inference(miniscoping,[status(esa)],[f115])).
% 51.27/6.79 fof(f117,plain,(
% 51.27/6.79 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 51.27/6.79 inference(cnf_transformation,[status(esa)],[f116])).
% 51.27/6.79 fof(f118,plain,(
% 51.27/6.79 ![A,B,C,D,E,F]: ((~para(A,B,C,D)|~perp(C,D,E,F))|perp(A,B,E,F))),
% 51.27/6.79 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 51.27/6.79 fof(f119,plain,(
% 51.27/6.79 ![A,B,E,F]: ((![C,D]: (~para(A,B,C,D)|~perp(C,D,E,F)))|perp(A,B,E,F))),
% 51.27/6.79 inference(miniscoping,[status(esa)],[f118])).
% 51.27/6.79 fof(f120,plain,(
% 51.27/6.79 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|perp(X0,X1,X4,X5))),
% 51.27/6.79 inference(cnf_transformation,[status(esa)],[f119])).
% 51.27/6.79 fof(f134,plain,(
% 51.27/6.79 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 51.27/6.79 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 51.27/6.79 fof(f135,plain,(
% 51.27/6.79 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 51.27/6.79 inference(miniscoping,[status(esa)],[f134])).
% 51.27/6.79 fof(f136,plain,(
% 51.27/6.79 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 51.27/6.79 inference(cnf_transformation,[status(esa)],[f135])).
% 51.27/6.79 fof(f137,plain,(
% 51.27/6.79 ![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))),
% 51.27/6.79 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 51.27/6.79 fof(f138,plain,(
% 51.27/6.79 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|eqangle(X1,X0,X2,X3,X4,X5,X6,X7))),
% 51.27/6.79 inference(cnf_transformation,[status(esa)],[f137])).
% 51.27/6.79 fof(f139,plain,(
% 51.27/6.79 ![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))),
% 51.27/6.79 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 51.27/6.79 fof(f140,plain,(
% 51.27/6.79 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|eqangle(X2,X3,X0,X1,X6,X7,X4,X5))),
% 51.27/6.79 inference(cnf_transformation,[status(esa)],[f139])).
% 51.27/6.79 fof(f143,plain,(
% 51.27/6.79 ![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))),
% 51.27/6.79 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 51.27/6.79 fof(f144,plain,(
% 51.27/6.79 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|eqangle(X0,X1,X4,X5,X2,X3,X6,X7))),
% 51.27/6.79 inference(cnf_transformation,[status(esa)],[f143])).
% 51.27/6.79 fof(f148,plain,(
% 51.27/6.79 ![A,B,C,D]: (~cong(A,B,C,D)|cong(A,B,D,C))),
% 51.27/6.79 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 51.27/6.79 fof(f149,plain,(
% 51.27/6.79 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X3)|cong(X0,X1,X3,X2))),
% 51.27/6.79 inference(cnf_transformation,[status(esa)],[f148])).
% 51.27/6.79 fof(f150,plain,(
% 51.27/6.79 ![A,B,C,D]: (~cong(A,B,C,D)|cong(C,D,A,B))),
% 51.27/6.79 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 51.27/6.79 fof(f151,plain,(
% 51.27/6.79 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X3)|cong(X2,X3,X0,X1))),
% 51.27/6.79 inference(cnf_transformation,[status(esa)],[f150])).
% 51.27/6.79 fof(f184,plain,(
% 51.27/6.79 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 51.27/6.79 inference(pre_NNF_transformation,[status(esa)],[f39])).
% 51.27/6.79 fof(f185,plain,(
% 51.27/6.79 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 51.27/6.79 inference(miniscoping,[status(esa)],[f184])).
% 51.27/6.79 fof(f186,plain,(
% 51.27/6.79 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 51.27/6.79 inference(cnf_transformation,[status(esa)],[f185])).
% 51.27/6.79 fof(f187,plain,(
% 51.27/6.79 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 51.27/6.79 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 51.27/6.79 fof(f188,plain,(
% 51.27/6.79 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 51.27/6.79 inference(miniscoping,[status(esa)],[f187])).
% 51.27/6.79 fof(f189,plain,(
% 51.27/6.79 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 51.27/6.79 inference(cnf_transformation,[status(esa)],[f188])).
% 51.27/6.79 fof(f190,plain,(
% 51.27/6.79 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 51.27/6.79 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 51.27/6.79 fof(f191,plain,(
% 51.27/6.79 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 51.27/6.79 inference(cnf_transformation,[status(esa)],[f190])).
% 51.27/6.79 fof(f192,plain,(
% 51.27/6.79 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|coll(P,Q,A))|cyclic(A,B,P,Q))),
% 51.27/6.79 inference(pre_NNF_transformation,[status(esa)],[f42])).
% 51.27/6.79 fof(f193,plain,(
% 51.27/6.79 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|coll(X0,X3,X1)|cyclic(X1,X2,X0,X3))),
% 51.27/6.79 inference(cnf_transformation,[status(esa)],[f192])).
% 51.27/6.79 fof(f194,plain,(
% 51.27/6.79 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 51.27/6.79 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 51.27/6.79 fof(f195,plain,(
% 51.27/6.79 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 51.27/6.79 inference(cnf_transformation,[status(esa)],[f194])).
% 51.27/6.79 fof(f196,plain,(
% 51.27/6.79 ![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))),
% 51.27/6.79 inference(pre_NNF_transformation,[status(esa)],[f44])).
% 51.27/6.79 fof(f197,plain,(
% 51.27/6.79 ![A,B,P,Q]: ((![C,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))),
% 51.27/6.79 inference(miniscoping,[status(esa)],[f196])).
% 51.27/6.79 fof(f198,plain,(
% 51.27/6.79 ![X0,X1,X2,X3,X4,X5]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|~cyclic(X0,X1,X2,X5)|~eqangle(X2,X0,X2,X1,X5,X3,X5,X4)|cong(X0,X1,X3,X4))),
% 51.27/6.79 inference(cnf_transformation,[status(esa)],[f197])).
% 51.27/6.79 fof(f220,plain,(
% 51.27/6.79 ![A,B,C,M]: ((~perp(A,B,B,C)|~midp(M,A,C))|cong(A,M,B,M))),
% 51.27/6.79 inference(pre_NNF_transformation,[status(esa)],[f53])).
% 51.27/6.79 fof(f221,plain,(
% 51.27/6.79 ![A,B,M]: ((![C]: (~perp(A,B,B,C)|~midp(M,A,C)))|cong(A,M,B,M))),
% 51.27/6.79 inference(miniscoping,[status(esa)],[f220])).
% 51.27/6.79 fof(f222,plain,(
% 51.27/6.79 ![X0,X1,X2,X3]: (~perp(X0,X1,X1,X2)|~midp(X3,X0,X2)|cong(X0,X3,X1,X3))),
% 51.27/6.79 inference(cnf_transformation,[status(esa)],[f221])).
% 51.27/6.79 fof(f233,plain,(
% 51.27/6.79 ![A,B,P,Q]: (((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q))|perp(P,A,A,Q))),
% 51.27/6.79 inference(pre_NNF_transformation,[status(esa)],[f58])).
% 51.27/6.79 fof(f234,plain,(
% 51.27/6.79 ![A,P,Q]: ((![B]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q)))|perp(P,A,A,Q))),
% 51.27/6.79 inference(miniscoping,[status(esa)],[f233])).
% 51.27/6.79 fof(f235,plain,(
% 51.27/6.79 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|~cyclic(X0,X2,X1,X3)|perp(X1,X0,X0,X3))),
% 51.27/6.79 inference(cnf_transformation,[status(esa)],[f234])).
% 51.27/6.79 fof(f255,plain,(
% 51.27/6.79 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 51.27/6.79 inference(pre_NNF_transformation,[status(esa)],[f67])).
% 51.27/6.79 fof(f256,plain,(
% 51.27/6.79 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 51.27/6.79 inference(cnf_transformation,[status(esa)],[f255])).
% 51.27/6.79 fof(f257,plain,(
% 51.27/6.79 ![A,B,C]: ((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))),
% 51.27/6.79 inference(pre_NNF_transformation,[status(esa)],[f68])).
% 51.27/6.79 fof(f258,plain,(
% 51.27/6.79 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|~coll(X0,X1,X2)|midp(X0,X1,X2))),
% 51.27/6.79 inference(cnf_transformation,[status(esa)],[f257])).
% 51.27/6.79 fof(f369,plain,(
% 51.27/6.79 (?[A,C,B,D,P,Q,R,S,O]: (((((((perp(A,C,B,D)&midp(P,B,A))&midp(Q,C,B))&midp(R,D,C))&midp(S,A,D))&coll(O,P,R))&coll(O,Q,S))&~cong(O,S,O,R)))),
% 51.27/6.79 inference(pre_NNF_transformation,[status(esa)],[f96])).
% 51.27/6.79 fof(f370,plain,(
% 51.27/6.79 ?[R,S,O]: ((?[Q]: ((?[P]: ((?[A,D]: ((?[C]: ((?[B]: ((perp(A,C,B,D)&midp(P,B,A))&midp(Q,C,B)))&midp(R,D,C)))&midp(S,A,D)))&coll(O,P,R)))&coll(O,Q,S)))&~cong(O,S,O,R))),
% 51.27/6.79 inference(miniscoping,[status(esa)],[f369])).
% 51.27/6.79 fof(f371,plain,(
% 51.27/6.79 (((((((perp(sk0_25,sk0_27,sk0_28,sk0_26)&midp(sk0_24,sk0_28,sk0_25))&midp(sk0_23,sk0_27,sk0_28))&midp(sk0_20,sk0_26,sk0_27))&midp(sk0_21,sk0_25,sk0_26))&coll(sk0_22,sk0_24,sk0_20))&coll(sk0_22,sk0_23,sk0_21))&~cong(sk0_22,sk0_21,sk0_22,sk0_20))),
% 51.27/6.79 inference(skolemization,[status(esa)],[f370])).
% 51.27/6.79 fof(f372,plain,(
% 51.27/6.79 perp(sk0_25,sk0_27,sk0_28,sk0_26)),
% 51.27/6.79 inference(cnf_transformation,[status(esa)],[f371])).
% 51.27/6.79 fof(f379,plain,(
% 51.27/6.79 ~cong(sk0_22,sk0_21,sk0_22,sk0_20)),
% 51.27/6.79 inference(cnf_transformation,[status(esa)],[f371])).
% 51.27/6.79 fof(f393,plain,(
% 51.27/6.79 ![X0,X1]: (~perp(X0,X1,sk0_25,sk0_27)|para(X0,X1,sk0_28,sk0_26))),
% 51.27/6.79 inference(resolution,[status(thm)],[f117,f372])).
% 51.27/6.79 fof(f394,plain,(
% 51.27/6.79 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|para(X0,X1,X4,X5)|~perp(X4,X5,X2,X3))),
% 51.27/6.79 inference(resolution,[status(thm)],[f117,f114])).
% 51.27/6.79 fof(f396,plain,(
% 51.27/6.79 ![X0,X1]: (para(X0,X1,sk0_28,sk0_26)|~perp(sk0_25,sk0_27,X0,X1))),
% 51.27/6.79 inference(resolution,[status(thm)],[f393,f114])).
% 51.27/6.79 fof(f398,plain,(
% 51.27/6.79 para(sk0_28,sk0_26,sk0_28,sk0_26)),
% 51.27/6.79 inference(resolution,[status(thm)],[f396,f372])).
% 51.27/6.79 fof(f402,plain,(
% 51.27/6.79 para(sk0_28,sk0_26,sk0_26,sk0_28)),
% 51.27/6.79 inference(resolution,[status(thm)],[f398,f105])).
% 51.27/6.79 fof(f404,plain,(
% 51.27/6.79 ![X0,X1]: (~perp(sk0_26,sk0_28,X0,X1)|perp(sk0_28,sk0_26,X0,X1))),
% 51.27/6.79 inference(resolution,[status(thm)],[f402,f120])).
% 51.27/6.79 fof(f406,plain,(
% 51.27/6.79 para(sk0_26,sk0_28,sk0_28,sk0_26)),
% 51.27/6.79 inference(resolution,[status(thm)],[f402,f107])).
% 51.27/6.79 fof(f410,plain,(
% 51.27/6.79 ![X0,X1]: (~perp(sk0_28,sk0_26,X0,X1)|perp(sk0_26,sk0_28,X0,X1))),
% 51.27/6.79 inference(resolution,[status(thm)],[f406,f120])).
% 51.27/6.79 fof(f421,plain,(
% 51.27/6.79 ![X0,X1]: (perp(sk0_28,sk0_26,X0,X1)|~perp(sk0_26,sk0_28,X1,X0))),
% 51.27/6.79 inference(resolution,[status(thm)],[f404,f112])).
% 51.27/6.79 fof(f424,plain,(
% 51.27/6.79 ![X0,X1]: (perp(sk0_26,sk0_28,X0,X1)|~perp(X0,X1,sk0_28,sk0_26))),
% 51.27/6.79 inference(resolution,[status(thm)],[f410,f114])).
% 51.27/6.79 fof(f436,plain,(
% 51.27/6.79 perp(sk0_26,sk0_28,sk0_25,sk0_27)),
% 51.27/6.79 inference(resolution,[status(thm)],[f424,f372])).
% 51.27/6.79 fof(f439,plain,(
% 51.27/6.79 perp(sk0_28,sk0_26,sk0_27,sk0_25)),
% 51.27/6.79 inference(resolution,[status(thm)],[f436,f421])).
% 51.27/6.79 fof(f444,plain,(
% 51.27/6.79 perp(sk0_26,sk0_28,sk0_27,sk0_25)),
% 51.27/6.79 inference(resolution,[status(thm)],[f439,f410])).
% 51.27/6.79 fof(f447,plain,(
% 51.27/6.79 ![X0,X1]: (~perp(X0,X1,sk0_28,sk0_26)|para(X0,X1,sk0_27,sk0_25))),
% 51.27/6.79 inference(resolution,[status(thm)],[f439,f117])).
% 51.27/6.79 fof(f465,plain,(
% 51.27/6.79 para(sk0_25,sk0_27,sk0_27,sk0_25)),
% 51.27/6.79 inference(resolution,[status(thm)],[f447,f372])).
% 51.27/6.79 fof(f468,plain,(
% 51.27/6.79 ![X0,X1]: (~perp(sk0_27,sk0_25,X0,X1)|perp(sk0_25,sk0_27,X0,X1))),
% 51.27/6.79 inference(resolution,[status(thm)],[f465,f120])).
% 51.27/6.79 fof(f470,plain,(
% 51.27/6.79 para(sk0_27,sk0_25,sk0_25,sk0_27)),
% 51.27/6.79 inference(resolution,[status(thm)],[f465,f107])).
% 51.27/6.79 fof(f472,plain,(
% 51.27/6.79 ![X0,X1]: (~perp(sk0_25,sk0_27,X0,X1)|perp(sk0_27,sk0_25,X0,X1))),
% 51.27/6.79 inference(resolution,[status(thm)],[f470,f120])).
% 51.27/6.79 fof(f503,plain,(
% 51.27/6.79 ~cong(sk0_22,sk0_21,sk0_20,sk0_22)),
% 51.27/6.79 inference(resolution,[status(thm)],[f149,f379])).
% 51.27/6.79 fof(f505,plain,(
% 51.27/6.79 ~cong(sk0_20,sk0_22,sk0_22,sk0_21)),
% 51.27/6.79 inference(resolution,[status(thm)],[f151,f503])).
% 51.27/6.79 fof(f508,plain,(
% 51.27/6.79 ~cong(sk0_20,sk0_22,sk0_21,sk0_22)),
% 51.27/6.79 inference(resolution,[status(thm)],[f505,f149])).
% 51.27/6.79 fof(f512,plain,(
% 51.27/6.79 ~cong(sk0_21,sk0_22,sk0_20,sk0_22)),
% 51.27/6.79 inference(resolution,[status(thm)],[f508,f151])).
% 51.27/6.79 fof(f523,plain,(
% 51.27/6.79 ![X0,X1,X2,X3]: (~midp(X0,X1,X2)|cong(X1,X0,X3,X0)|~perp(X3,X2,X1,X3))),
% 51.27/6.79 inference(resolution,[status(thm)],[f222,f114])).
% 51.27/6.79 fof(f552,plain,(
% 51.27/6.79 ![X0,X1]: (perp(sk0_25,sk0_27,X0,X1)|~perp(X0,X1,sk0_27,sk0_25))),
% 51.27/6.79 inference(resolution,[status(thm)],[f468,f114])).
% 51.27/6.79 fof(f583,plain,(
% 51.27/6.79 perp(sk0_25,sk0_27,sk0_26,sk0_28)),
% 51.27/6.79 inference(resolution,[status(thm)],[f552,f444])).
% 51.27/6.79 fof(f586,plain,(
% 51.27/6.79 perp(sk0_27,sk0_25,sk0_26,sk0_28)),
% 51.27/6.79 inference(resolution,[status(thm)],[f583,f472])).
% 51.27/6.79 fof(f688,plain,(
% 51.27/6.79 ![X0,X1,X2]: (~coll(X0,X1,X2)|midp(X0,X1,X2)|~cong(X0,X2,X0,X1))),
% 51.27/6.79 inference(resolution,[status(thm)],[f258,f151])).
% 51.27/6.79 fof(f691,plain,(
% 51.27/6.79 ![X0,X1,X2]: (~coll(X0,X1,X2)|midp(X0,X1,X2)|~cong(X0,X2,X1,X0))),
% 51.27/6.79 inference(resolution,[status(thm)],[f688,f149])).
% 51.27/6.79 fof(f695,plain,(
% 51.27/6.79 ![X0,X1,X2]: (~coll(X0,X1,X2)|midp(X0,X1,X2)|~cong(X1,X0,X0,X2))),
% 51.27/6.79 inference(resolution,[status(thm)],[f691,f151])).
% 51.27/6.79 fof(f707,plain,(
% 51.27/6.79 ![X0,X1,X2]: (~coll(X0,X1,X2)|midp(X0,X1,X2)|~cong(X1,X0,X2,X0))),
% 51.27/6.79 inference(resolution,[status(thm)],[f695,f149])).
% 51.27/6.79 fof(f769,plain,(
% 51.27/6.79 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X1,X0,X4,X5))),
% 51.27/6.79 inference(resolution,[status(thm)],[f138,f186])).
% 51.27/6.79 fof(f770,plain,(
% 51.27/6.79 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X0,X1,X4,X5)|para(X2,X3,X4,X5))),
% 51.27/6.79 inference(resolution,[status(thm)],[f140,f186])).
% 51.27/6.79 fof(f1426,plain,(
% 51.27/6.79 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3)|~para(X1,X0,X2,X3))),
% 51.27/6.79 inference(resolution,[status(thm)],[f769,f189])).
% 51.27/6.79 fof(f1434,plain,(
% 51.27/6.79 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X2,X3,X1,X0))),
% 51.27/6.79 inference(resolution,[status(thm)],[f1426,f107])).
% 51.27/6.79 fof(f1467,plain,(
% 51.27/6.79 ![X0,X1,X2]: (~para(X0,X1,X1,X2)|coll(X1,X2,X0))),
% 51.27/6.79 inference(resolution,[status(thm)],[f1434,f256])).
% 51.27/6.79 fof(f1501,plain,(
% 51.27/6.79 ![X0,X1,X2]: (coll(X0,X1,X2)|~para(X0,X2,X0,X1))),
% 51.27/6.79 inference(resolution,[status(thm)],[f1467,f1426])).
% 51.27/6.79 fof(f1763,plain,(
% 51.27/6.79 ![X0,X1,X2,X3]: (coll(X0,X1,X2)|cyclic(X2,X3,X0,X1)|~eqangle(X0,X2,X1,X2,X0,X3,X1,X3))),
% 51.27/6.79 inference(resolution,[status(thm)],[f193,f144])).
% 51.27/6.79 fof(f1770,plain,(
% 51.27/6.79 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|cyclic(X3,X2,X0,X1)|~eqangle(X0,X3,X1,X3,X0,X2,X1,X2))),
% 51.27/6.79 inference(resolution,[status(thm)],[f195,f144])).
% 51.27/6.79 fof(f2335,plain,(
% 51.27/6.79 spl0_26 <=> para(X0,X1,X0,X1)),
% 51.27/6.79 introduced(split_symbol_definition)).
% 51.27/6.79 fof(f2336,plain,(
% 51.27/6.79 ![X0,X1]: (para(X0,X1,X0,X1)|~spl0_26)),
% 51.27/6.79 inference(component_clause,[status(thm)],[f2335])).
% 51.27/6.79 fof(f2338,plain,(
% 51.27/6.79 spl0_27 <=> ~para(X2,X3,X2,X3)),
% 51.27/6.79 introduced(split_symbol_definition)).
% 51.27/6.79 fof(f2339,plain,(
% 51.27/6.79 ![X0,X1]: (~para(X0,X1,X0,X1)|~spl0_27)),
% 51.27/6.79 inference(component_clause,[status(thm)],[f2338])).
% 51.27/6.79 fof(f2341,plain,(
% 51.27/6.79 ![X0,X1,X2,X3]: (para(X0,X1,X0,X1)|~para(X2,X3,X2,X3))),
% 51.27/6.79 inference(resolution,[status(thm)],[f770,f189])).
% 51.27/6.79 fof(f2342,plain,(
% 51.27/6.79 spl0_26|spl0_27),
% 51.27/6.79 inference(split_clause,[status(thm)],[f2341,f2335,f2338])).
% 51.27/6.79 fof(f2465,plain,(
% 51.27/6.79 ![X0,X1]: (coll(X0,X1,X1)|~spl0_26)),
% 51.27/6.79 inference(resolution,[status(thm)],[f2336,f1501])).
% 51.27/6.79 fof(f2510,plain,(
% 51.27/6.79 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|~perp(X0,X1,X2,X3)|~spl0_27)),
% 51.27/6.79 inference(resolution,[status(thm)],[f2339,f394])).
% 51.27/6.79 fof(f2511,plain,(
% 51.27/6.79 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|~spl0_27)),
% 51.27/6.79 inference(duplicate_literals_removal,[status(esa)],[f2510])).
% 51.27/6.79 fof(f2523,plain,(
% 51.27/6.79 $false|~spl0_27),
% 51.27/6.79 inference(backward_subsumption_resolution,[status(thm)],[f586,f2511])).
% 51.27/6.79 fof(f2524,plain,(
% 51.27/6.79 ~spl0_27),
% 51.27/6.79 inference(contradiction_clause,[status(thm)],[f2523])).
% 51.27/6.79 fof(f17813,plain,(
% 51.27/6.79 ![X0,X1,X2]: (coll(X0,X1,X2)|cyclic(X2,X2,X0,X1)|~para(X0,X2,X0,X2))),
% 51.27/6.79 inference(resolution,[status(thm)],[f1763,f189])).
% 51.27/6.79 fof(f17814,plain,(
% 51.27/6.79 ![X0,X1,X2]: (coll(X0,X1,X2)|cyclic(X2,X2,X0,X1)|~spl0_26)),
% 51.27/6.79 inference(forward_subsumption_resolution,[status(thm)],[f17813,f2336])).
% 51.27/6.79 fof(f22477,plain,(
% 51.27/6.79 ![X0,X1,X2]: (~coll(X0,X1,X2)|cyclic(X2,X2,X0,X1)|~para(X0,X2,X0,X2))),
% 51.27/6.79 inference(resolution,[status(thm)],[f1770,f189])).
% 51.27/6.79 fof(f22478,plain,(
% 51.27/6.79 ![X0,X1,X2]: (cyclic(X0,X0,X1,X2)|~para(X1,X0,X1,X0)|~spl0_26)),
% 51.27/6.79 inference(forward_subsumption_resolution,[status(thm)],[f22477,f17814])).
% 51.27/6.79 fof(f22910,plain,(
% 51.27/6.79 ![X0,X1,X2]: (cyclic(X0,X0,X1,X2)|~spl0_26)),
% 51.27/6.79 inference(forward_subsumption_resolution,[status(thm)],[f22478,f2336])).
% 51.27/6.79 fof(f22922,plain,(
% 51.27/6.79 ![X0,X1,X2,X3]: (~cyclic(X0,X0,X1,X2)|cyclic(X0,X1,X2,X3)|~spl0_26)),
% 51.27/6.79 inference(resolution,[status(thm)],[f22910,f136])).
% 51.27/6.79 fof(f22923,plain,(
% 51.27/6.79 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3)|~spl0_26)),
% 51.27/6.79 inference(forward_subsumption_resolution,[status(thm)],[f22922,f22910])).
% 51.27/6.79 fof(f25962,plain,(
% 51.27/6.79 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X1,X0,X0,X3)|~spl0_26)),
% 51.27/6.79 inference(backward_subsumption_resolution,[status(thm)],[f235,f22923])).
% 51.27/6.79 fof(f25963,plain,(
% 51.27/6.79 ![X0,X1,X2,X3,X4,X5]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|~eqangle(X2,X0,X2,X1,X4,X5,X4,X3)|cong(X0,X1,X5,X3)|~spl0_26)),
% 51.27/6.79 inference(backward_subsumption_resolution,[status(thm)],[f198,f22923])).
% 51.27/6.79 fof(f25964,plain,(
% 51.27/6.79 ![X0,X1,X2,X3,X4,X5]: (~cyclic(X0,X1,X2,X3)|~eqangle(X2,X0,X2,X1,X3,X4,X3,X5)|cong(X0,X1,X4,X5)|~spl0_26)),
% 51.27/6.79 inference(forward_subsumption_resolution,[status(thm)],[f25963,f22923])).
% 51.27/6.79 fof(f25965,plain,(
% 51.27/6.79 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~spl0_26)),
% 51.27/6.79 inference(backward_subsumption_resolution,[status(thm)],[f191,f22923])).
% 51.27/6.79 fof(f26205,plain,(
% 51.27/6.79 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|perp(X1,X0,X0,X3)|~cong(X2,X3,X0,X3)|~spl0_26)),
% 51.27/6.79 inference(resolution,[status(thm)],[f25962,f151])).
% 51.27/6.85 fof(f26909,plain,(
% 51.27/6.85 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X0,X2,X3,X4,X3,X5)|cong(X1,X2,X4,X5)|~spl0_26)),
% 51.27/6.85 inference(forward_subsumption_resolution,[status(thm)],[f25964,f22923])).
% 51.27/6.85 fof(f26918,plain,(
% 51.27/6.85 ![X0,X1]: (cong(X0,X1,X0,X1)|~spl0_26)),
% 51.27/6.85 inference(resolution,[status(thm)],[f25965,f26909])).
% 51.27/6.85 fof(f27784,plain,(
% 51.27/6.85 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X1,X0,X0,X2)|~spl0_26)),
% 51.27/6.85 inference(resolution,[status(thm)],[f26918,f26205])).
% 51.27/6.85 fof(f27785,plain,(
% 51.27/6.85 ![X0,X1,X2]: (perp(X0,X1,X1,X2)|~spl0_26)),
% 51.27/6.85 inference(forward_subsumption_resolution,[status(thm)],[f27784,f26918])).
% 51.27/6.85 fof(f27823,plain,(
% 51.27/6.85 ![X0,X1]: (~coll(X0,X1,X1)|midp(X0,X1,X1)|~spl0_26)),
% 51.27/6.85 inference(resolution,[status(thm)],[f26918,f707])).
% 51.27/6.85 fof(f27824,plain,(
% 51.27/6.85 ![X0,X1]: (midp(X0,X1,X1)|~spl0_26)),
% 51.27/6.85 inference(forward_subsumption_resolution,[status(thm)],[f27823,f2465])).
% 51.27/6.85 fof(f28139,plain,(
% 51.27/6.85 ![X0,X1,X2]: (~midp(X0,X1,X1)|cong(X1,X0,X2,X0)|~spl0_26)),
% 51.27/6.85 inference(resolution,[status(thm)],[f27785,f523])).
% 51.27/6.85 fof(f28140,plain,(
% 51.27/6.85 ![X0,X1,X2]: (cong(X0,X1,X2,X1)|~spl0_26)),
% 51.27/6.85 inference(forward_subsumption_resolution,[status(thm)],[f28139,f27824])).
% 51.27/6.85 fof(f28728,plain,(
% 51.27/6.85 $false|~spl0_26),
% 51.27/6.85 inference(backward_subsumption_resolution,[status(thm)],[f512,f28140])).
% 51.27/6.85 fof(f28729,plain,(
% 51.27/6.85 ~spl0_26),
% 51.27/6.85 inference(contradiction_clause,[status(thm)],[f28728])).
% 51.27/6.85 fof(f28730,plain,(
% 51.27/6.85 $false),
% 51.27/6.85 inference(sat_refutation,[status(thm)],[f2342,f2524,f28729])).
% 51.27/6.85 % SZS output end CNFRefutation for theBenchmark.p
% 52.26/6.92 % Elapsed time: 6.603956 seconds
% 52.26/6.92 % CPU time: 51.877103 seconds
% 52.26/6.92 % Total memory used: 338.246 MB
% 52.26/6.92 % Net memory used: 313.573 MB
%------------------------------------------------------------------------------