TSTP Solution File: GEO626+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO626+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 20:18:27 EDT 2024
% Result : Theorem 3.41s 0.76s
% Output : CNFRefutation 3.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : GEO626+1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.08 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.27 % Computer : n032.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 300
% 0.08/0.27 % DateTime : Tue Apr 30 01:42:20 EDT 2024
% 0.08/0.27 % CPUTime :
% 0.12/0.28 % Drodi V3.6.0
% 3.41/0.76 % Refutation found
% 3.41/0.76 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.41/0.76 % SZS output start CNFRefutation for theBenchmark
% 3.41/0.76 fof(f1,axiom,(
% 3.41/0.76 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 3.41/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.76 fof(f2,axiom,(
% 3.41/0.76 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 3.41/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.76 fof(f3,axiom,(
% 3.41/0.76 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 3.41/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.76 fof(f4,axiom,(
% 3.41/0.76 (! [A,B,C,D] :( para(A,B,C,D)=> para(A,B,D,C) ) )),
% 3.41/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.76 fof(f7,axiom,(
% 3.41/0.76 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(A,B,D,C) ) )),
% 3.41/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.76 fof(f8,axiom,(
% 3.41/0.76 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 3.41/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.76 fof(f9,axiom,(
% 3.41/0.76 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 3.41/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.76 fof(f17,axiom,(
% 3.41/0.76 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 3.41/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.76 fof(f18,axiom,(
% 3.41/0.76 (! [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) ) )),
% 3.41/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.76 fof(f19,axiom,(
% 3.41/0.76 (! [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) ) )),
% 3.41/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.76 fof(f20,axiom,(
% 3.41/0.76 (! [A,B,C,D,P,Q,U,V] :( eqangle(A,B,C,D,P,Q,U,V)=> eqangle(P,Q,U,V,A,B,C,D) ) )),
% 3.41/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.76 fof(f21,axiom,(
% 3.41/0.76 (! [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) ) )),
% 3.41/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.76 fof(f39,axiom,(
% 3.41/0.76 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 3.41/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.76 fof(f40,axiom,(
% 3.41/0.76 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 3.41/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.76 fof(f41,axiom,(
% 3.41/0.76 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 3.41/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.76 fof(f43,axiom,(
% 3.41/0.76 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 3.41/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.76 fof(f44,axiom,(
% 3.41/0.76 (! [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) ) )),
% 3.41/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.76 fof(f53,axiom,(
% 3.41/0.76 (! [A,B,C,M] :( ( perp(A,B,B,C)& midp(M,A,C) )=> cong(A,M,B,M) ) )),
% 3.41/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.76 fof(f57,axiom,(
% 3.41/0.76 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 3.41/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.76 fof(f67,axiom,(
% 3.41/0.76 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 3.41/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.76 fof(f68,axiom,(
% 3.41/0.76 (! [A,B,C] :( ( cong(A,B,A,C)& coll(A,B,C) )=> midp(A,B,C) ) )),
% 3.41/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.76 fof(f75,axiom,(
% 3.41/0.76 (! [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) ) )),
% 3.41/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.76 fof(f95,conjecture,(
% 3.41/0.76 (! [A,B,C,O,D,G,F,C1,B1,NWPNT1,NWPNT2,NWPNT3] :( ( circle(O,A,B,C)& circle(O,A,D,NWPNT1)& perp(G,D,A,B)& coll(G,A,B)& perp(F,D,A,C)& coll(F,A,C)& circle(O,D,C1,NWPNT2)& coll(C1,D,G)& circle(O,D,B1,NWPNT3)& coll(B1,D,F) )=> para(C1,C,B1,B) ) )),
% 3.41/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.76 fof(f96,negated_conjecture,(
% 3.41/0.76 ~((! [A,B,C,O,D,G,F,C1,B1,NWPNT1,NWPNT2,NWPNT3] :( ( circle(O,A,B,C)& circle(O,A,D,NWPNT1)& perp(G,D,A,B)& coll(G,A,B)& perp(F,D,A,C)& coll(F,A,C)& circle(O,D,C1,NWPNT2)& coll(C1,D,G)& circle(O,D,B1,NWPNT3)& coll(B1,D,F) )=> para(C1,C,B1,B) ) ))),
% 3.41/0.76 inference(negated_conjecture,[status(cth)],[f95])).
% 3.41/0.77 fof(f97,plain,(
% 3.41/0.77 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 3.41/0.77 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 3.41/0.77 fof(f98,plain,(
% 3.41/0.77 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 3.41/0.77 inference(cnf_transformation,[status(esa)],[f97])).
% 3.41/0.77 fof(f99,plain,(
% 3.41/0.77 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 3.41/0.77 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 3.41/0.77 fof(f100,plain,(
% 3.41/0.77 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 3.41/0.77 inference(cnf_transformation,[status(esa)],[f99])).
% 3.41/0.77 fof(f101,plain,(
% 3.41/0.77 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 3.41/0.77 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 3.41/0.77 fof(f102,plain,(
% 3.41/0.77 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 3.41/0.77 inference(miniscoping,[status(esa)],[f101])).
% 3.41/0.77 fof(f103,plain,(
% 3.41/0.77 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 3.41/0.77 inference(cnf_transformation,[status(esa)],[f102])).
% 3.41/0.77 fof(f104,plain,(
% 3.41/0.77 ![A,B,C,D]: (~para(A,B,C,D)|para(A,B,D,C))),
% 3.41/0.77 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 3.41/0.77 fof(f105,plain,(
% 3.41/0.77 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X0,X1,X3,X2))),
% 3.41/0.77 inference(cnf_transformation,[status(esa)],[f104])).
% 3.41/0.77 fof(f111,plain,(
% 3.41/0.77 ![A,B,C,D]: (~perp(A,B,C,D)|perp(A,B,D,C))),
% 3.41/0.77 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 3.41/0.77 fof(f112,plain,(
% 3.41/0.77 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X0,X1,X3,X2))),
% 3.41/0.77 inference(cnf_transformation,[status(esa)],[f111])).
% 3.41/0.77 fof(f113,plain,(
% 3.41/0.77 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 3.41/0.77 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 3.41/0.77 fof(f114,plain,(
% 3.41/0.77 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 3.41/0.77 inference(cnf_transformation,[status(esa)],[f113])).
% 3.41/0.77 fof(f115,plain,(
% 3.41/0.77 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 3.41/0.77 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 3.41/0.77 fof(f116,plain,(
% 3.41/0.77 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 3.41/0.77 inference(miniscoping,[status(esa)],[f115])).
% 3.41/0.77 fof(f117,plain,(
% 3.41/0.77 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 3.41/0.77 inference(cnf_transformation,[status(esa)],[f116])).
% 3.41/0.77 fof(f134,plain,(
% 3.41/0.77 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 3.41/0.77 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 3.41/0.77 fof(f135,plain,(
% 3.41/0.77 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 3.41/0.77 inference(miniscoping,[status(esa)],[f134])).
% 3.41/0.77 fof(f136,plain,(
% 3.41/0.77 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 3.41/0.77 inference(cnf_transformation,[status(esa)],[f135])).
% 3.41/0.77 fof(f137,plain,(
% 3.41/0.77 ![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))),
% 3.41/0.77 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 3.41/0.77 fof(f138,plain,(
% 3.41/0.77 ![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))),
% 3.41/0.77 inference(cnf_transformation,[status(esa)],[f137])).
% 3.41/0.77 fof(f139,plain,(
% 3.41/0.77 ![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))),
% 3.41/0.77 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 3.41/0.77 fof(f140,plain,(
% 3.41/0.77 ![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))),
% 3.41/0.77 inference(cnf_transformation,[status(esa)],[f139])).
% 3.41/0.77 fof(f141,plain,(
% 3.41/0.77 ![A,B,C,D,P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|eqangle(P,Q,U,V,A,B,C,D))),
% 3.41/0.77 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 3.41/0.77 fof(f142,plain,(
% 3.41/0.77 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|eqangle(X4,X5,X6,X7,X0,X1,X2,X3))),
% 3.41/0.77 inference(cnf_transformation,[status(esa)],[f141])).
% 3.41/0.77 fof(f143,plain,(
% 3.41/0.77 ![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))),
% 3.41/0.77 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 3.41/0.77 fof(f144,plain,(
% 3.41/0.77 ![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))),
% 3.41/0.77 inference(cnf_transformation,[status(esa)],[f143])).
% 3.41/0.77 fof(f184,plain,(
% 3.41/0.77 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 3.41/0.77 inference(pre_NNF_transformation,[status(esa)],[f39])).
% 3.41/0.77 fof(f185,plain,(
% 3.41/0.77 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 3.41/0.77 inference(miniscoping,[status(esa)],[f184])).
% 3.41/0.77 fof(f186,plain,(
% 3.41/0.77 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 3.41/0.77 inference(cnf_transformation,[status(esa)],[f185])).
% 3.41/0.77 fof(f187,plain,(
% 3.41/0.77 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 3.41/0.77 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 3.41/0.77 fof(f188,plain,(
% 3.41/0.77 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 3.41/0.77 inference(miniscoping,[status(esa)],[f187])).
% 3.41/0.77 fof(f189,plain,(
% 3.41/0.77 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 3.41/0.77 inference(cnf_transformation,[status(esa)],[f188])).
% 3.41/0.77 fof(f190,plain,(
% 3.41/0.77 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 3.41/0.77 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 3.41/0.77 fof(f191,plain,(
% 3.41/0.77 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 3.41/0.77 inference(cnf_transformation,[status(esa)],[f190])).
% 3.41/0.77 fof(f194,plain,(
% 3.41/0.77 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 3.41/0.77 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 3.41/0.77 fof(f195,plain,(
% 3.41/0.77 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 3.41/0.77 inference(cnf_transformation,[status(esa)],[f194])).
% 3.41/0.77 fof(f196,plain,(
% 3.41/0.77 ![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))),
% 3.41/0.77 inference(pre_NNF_transformation,[status(esa)],[f44])).
% 3.41/0.77 fof(f197,plain,(
% 3.41/0.77 ![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))),
% 3.41/0.77 inference(miniscoping,[status(esa)],[f196])).
% 3.41/0.77 fof(f198,plain,(
% 3.41/0.77 ![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))),
% 3.41/0.77 inference(cnf_transformation,[status(esa)],[f197])).
% 3.41/0.77 fof(f220,plain,(
% 3.41/0.77 ![A,B,C,M]: ((~perp(A,B,B,C)|~midp(M,A,C))|cong(A,M,B,M))),
% 3.41/0.77 inference(pre_NNF_transformation,[status(esa)],[f53])).
% 3.41/0.77 fof(f221,plain,(
% 3.41/0.77 ![A,B,M]: ((![C]: (~perp(A,B,B,C)|~midp(M,A,C)))|cong(A,M,B,M))),
% 3.41/0.77 inference(miniscoping,[status(esa)],[f220])).
% 3.41/0.77 fof(f222,plain,(
% 3.41/0.77 ![X0,X1,X2,X3]: (~perp(X0,X1,X1,X2)|~midp(X3,X0,X2)|cong(X0,X3,X1,X3))),
% 3.41/0.77 inference(cnf_transformation,[status(esa)],[f221])).
% 3.41/0.77 fof(f231,plain,(
% 3.41/0.77 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 3.41/0.77 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 3.41/0.77 fof(f232,plain,(
% 3.41/0.77 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 3.41/0.77 inference(cnf_transformation,[status(esa)],[f231])).
% 3.41/0.77 fof(f255,plain,(
% 3.41/0.77 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 3.41/0.77 inference(pre_NNF_transformation,[status(esa)],[f67])).
% 3.41/0.77 fof(f256,plain,(
% 3.41/0.77 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 3.41/0.77 inference(cnf_transformation,[status(esa)],[f255])).
% 3.41/0.77 fof(f257,plain,(
% 3.41/0.77 ![A,B,C]: ((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))),
% 3.41/0.77 inference(pre_NNF_transformation,[status(esa)],[f68])).
% 3.41/0.77 fof(f258,plain,(
% 3.41/0.77 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|~coll(X0,X1,X2)|midp(X0,X1,X2))),
% 3.41/0.77 inference(cnf_transformation,[status(esa)],[f257])).
% 3.41/0.77 fof(f272,plain,(
% 3.41/0.77 ![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))),
% 3.41/0.77 inference(pre_NNF_transformation,[status(esa)],[f75])).
% 3.41/0.77 fof(f273,plain,(
% 3.41/0.77 ![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))),
% 3.41/0.77 inference(miniscoping,[status(esa)],[f272])).
% 3.41/0.77 fof(f274,plain,(
% 3.41/0.77 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|~perp(X4,X5,X6,X7)|perp(X0,X1,X2,X3))),
% 3.41/0.77 inference(cnf_transformation,[status(esa)],[f273])).
% 3.41/0.77 fof(f369,plain,(
% 3.41/0.77 (?[A,B,C,O,D,G,F,C1,B1,NWPNT1,NWPNT2,NWPNT3]: ((((((((((circle(O,A,B,C)&circle(O,A,D,NWPNT1))&perp(G,D,A,B))&coll(G,A,B))&perp(F,D,A,C))&coll(F,A,C))&circle(O,D,C1,NWPNT2))&coll(C1,D,G))&circle(O,D,B1,NWPNT3))&coll(B1,D,F))&~para(C1,C,B1,B)))),
% 3.41/0.77 inference(pre_NNF_transformation,[status(esa)],[f96])).
% 3.41/0.77 fof(f370,plain,(
% 3.41/0.77 ?[B,C,C1,B1]: ((?[D,F]: ((?[O]: ((?[G]: (((?[A]: (((((circle(O,A,B,C)&(?[NWPNT1]: circle(O,A,D,NWPNT1)))&perp(G,D,A,B))&coll(G,A,B))&perp(F,D,A,C))&coll(F,A,C)))&(?[NWPNT2]: circle(O,D,C1,NWPNT2)))&coll(C1,D,G)))&(?[NWPNT3]: circle(O,D,B1,NWPNT3))))&coll(B1,D,F)))&~para(C1,C,B1,B))),
% 3.41/0.77 inference(miniscoping,[status(esa)],[f369])).
% 3.41/0.77 fof(f371,plain,(
% 3.41/0.77 ((((((((((circle(sk0_26,sk0_28,sk0_20,sk0_21)&circle(sk0_26,sk0_28,sk0_24,sk0_29))&perp(sk0_27,sk0_24,sk0_28,sk0_20))&coll(sk0_27,sk0_28,sk0_20))&perp(sk0_25,sk0_24,sk0_28,sk0_21))&coll(sk0_25,sk0_28,sk0_21))&circle(sk0_26,sk0_24,sk0_22,sk0_30))&coll(sk0_22,sk0_24,sk0_27))&circle(sk0_26,sk0_24,sk0_23,sk0_31))&coll(sk0_23,sk0_24,sk0_25))&~para(sk0_22,sk0_21,sk0_23,sk0_20))),
% 3.41/0.77 inference(skolemization,[status(esa)],[f370])).
% 3.41/0.77 fof(f376,plain,(
% 3.41/0.77 perp(sk0_25,sk0_24,sk0_28,sk0_21)),
% 3.41/0.77 inference(cnf_transformation,[status(esa)],[f371])).
% 3.41/0.77 fof(f382,plain,(
% 3.41/0.77 ~para(sk0_22,sk0_21,sk0_23,sk0_20)),
% 3.41/0.77 inference(cnf_transformation,[status(esa)],[f371])).
% 3.41/0.77 fof(f456,plain,(
% 3.41/0.77 perp(sk0_25,sk0_24,sk0_21,sk0_28)),
% 3.41/0.77 inference(resolution,[status(thm)],[f376,f112])).
% 3.41/0.77 fof(f580,plain,(
% 3.41/0.77 perp(sk0_21,sk0_28,sk0_25,sk0_24)),
% 3.41/0.77 inference(resolution,[status(thm)],[f114,f456])).
% 3.41/0.77 fof(f584,plain,(
% 3.41/0.77 ![X0,X1]: (~perp(sk0_21,sk0_28,X0,X1)|para(sk0_25,sk0_24,X0,X1))),
% 3.41/0.77 inference(resolution,[status(thm)],[f117,f456])).
% 3.41/0.77 fof(f632,plain,(
% 3.41/0.77 para(sk0_25,sk0_24,sk0_25,sk0_24)),
% 3.41/0.77 inference(resolution,[status(thm)],[f584,f580])).
% 3.41/0.77 fof(f761,plain,(
% 3.41/0.77 ![X0,X1]: (eqangle(sk0_25,sk0_24,X0,X1,sk0_25,sk0_24,X0,X1))),
% 3.41/0.77 inference(resolution,[status(thm)],[f189,f632])).
% 3.41/0.77 fof(f989,plain,(
% 3.41/0.77 ![X0,X1]: (eqangle(X0,X1,sk0_25,sk0_24,X0,X1,sk0_25,sk0_24))),
% 3.41/0.77 inference(resolution,[status(thm)],[f140,f761])).
% 3.41/0.77 fof(f1397,plain,(
% 3.41/0.77 ![X0,X1]: (para(X0,X1,X0,X1))),
% 3.41/0.77 inference(resolution,[status(thm)],[f989,f186])).
% 3.41/0.77 fof(f1404,plain,(
% 3.41/0.77 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X3,X0,X1,X2,X3))),
% 3.41/0.77 inference(resolution,[status(thm)],[f1397,f189])).
% 3.41/0.77 fof(f1405,plain,(
% 3.41/0.77 ![X0,X1]: (coll(X0,X1,X1))),
% 3.41/0.77 inference(resolution,[status(thm)],[f1397,f256])).
% 3.41/0.77 fof(f1407,plain,(
% 3.41/0.77 ![X0,X1]: (para(X0,X1,X1,X0))),
% 3.41/0.77 inference(resolution,[status(thm)],[f1397,f105])).
% 3.41/0.77 fof(f1433,plain,(
% 3.41/0.77 ![X0,X1]: (coll(X0,X1,X0))),
% 3.41/0.77 inference(resolution,[status(thm)],[f1405,f100])).
% 3.41/0.77 fof(f1461,plain,(
% 3.41/0.77 ![X0,X1]: (coll(X0,X0,X1))),
% 3.41/0.77 inference(resolution,[status(thm)],[f1433,f98])).
% 3.41/0.77 fof(f1466,plain,(
% 3.41/0.77 ![X0,X1,X2]: (~coll(X0,X0,X1)|coll(X2,X1,X0))),
% 3.41/0.77 inference(resolution,[status(thm)],[f1461,f103])).
% 3.41/0.77 fof(f1467,plain,(
% 3.41/0.77 ![X0,X1,X2]: (coll(X0,X1,X2))),
% 3.41/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1466,f1461])).
% 3.41/0.77 fof(f1582,plain,(
% 3.41/0.77 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X3,X1,X0,X2,X3))),
% 3.41/0.77 inference(resolution,[status(thm)],[f1407,f189])).
% 3.41/0.77 fof(f1587,plain,(
% 3.41/0.77 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X1,X2,X3,X2,X3))),
% 3.41/0.77 inference(resolution,[status(thm)],[f1404,f144])).
% 3.41/0.77 fof(f1593,plain,(
% 3.41/0.77 ![X0,X1,X2,X3]: (eqangle(X0,X1,X1,X0,X2,X3,X2,X3))),
% 3.41/0.77 inference(resolution,[status(thm)],[f1582,f144])).
% 3.41/0.77 fof(f1606,plain,(
% 3.41/0.77 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X1,X2,X3,X3,X2))),
% 3.41/0.77 inference(resolution,[status(thm)],[f1593,f142])).
% 3.41/0.77 fof(f1620,plain,(
% 3.41/0.77 ![X0,X1,X2,X3]: (eqangle(X0,X1,X1,X0,X2,X3,X3,X2))),
% 3.41/0.77 inference(resolution,[status(thm)],[f1606,f138])).
% 3.41/0.77 fof(f1925,plain,(
% 3.41/0.77 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|midp(X0,X1,X2))),
% 3.41/0.77 inference(forward_subsumption_resolution,[status(thm)],[f258,f1467])).
% 3.41/0.77 fof(f2350,plain,(
% 3.41/0.77 spl0_113 <=> ~perp(X0,X1,X1,X0)),
% 3.41/0.77 introduced(split_symbol_definition)).
% 3.41/0.77 fof(f2351,plain,(
% 3.41/0.77 ![X0,X1]: (~perp(X0,X1,X1,X0)|~spl0_113)),
% 3.41/0.77 inference(component_clause,[status(thm)],[f2350])).
% 3.41/0.77 fof(f2353,plain,(
% 3.41/0.77 spl0_114 <=> perp(X2,X3,X3,X2)),
% 3.41/0.77 introduced(split_symbol_definition)).
% 3.41/0.77 fof(f2354,plain,(
% 3.41/0.77 ![X0,X1]: (perp(X0,X1,X1,X0)|~spl0_114)),
% 3.41/0.77 inference(component_clause,[status(thm)],[f2353])).
% 3.41/0.77 fof(f2356,plain,(
% 3.41/0.77 ![X0,X1,X2,X3]: (~perp(X0,X1,X1,X0)|perp(X2,X3,X3,X2))),
% 3.41/0.77 inference(resolution,[status(thm)],[f274,f1620])).
% 3.41/0.77 fof(f2357,plain,(
% 3.41/0.77 spl0_113|spl0_114),
% 3.41/0.77 inference(split_clause,[status(thm)],[f2356,f2350,f2353])).
% 3.41/0.77 fof(f3372,plain,(
% 3.41/0.77 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|cyclic(X1,X2,X0,X3))),
% 3.41/0.77 inference(forward_subsumption_resolution,[status(thm)],[f195,f1467])).
% 3.41/0.77 fof(f3378,plain,(
% 3.41/0.77 ![X0,X1,X2]: (cyclic(X0,X0,X1,X2))),
% 3.41/0.77 inference(resolution,[status(thm)],[f3372,f1587])).
% 3.41/0.77 fof(f3654,plain,(
% 3.41/0.77 ![X0,X1,X2,X3]: (~cyclic(X0,X0,X1,X2)|cyclic(X0,X1,X3,X2))),
% 3.41/0.77 inference(resolution,[status(thm)],[f3378,f136])).
% 3.41/0.77 fof(f3655,plain,(
% 3.41/0.77 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3))),
% 3.41/0.77 inference(forward_subsumption_resolution,[status(thm)],[f3654,f3378])).
% 3.41/0.77 fof(f3669,plain,(
% 3.41/0.77 ![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))),
% 3.41/0.77 inference(backward_subsumption_resolution,[status(thm)],[f198,f3655])).
% 3.41/0.77 fof(f3670,plain,(
% 3.41/0.77 ![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))),
% 3.41/0.77 inference(forward_subsumption_resolution,[status(thm)],[f3669,f3655])).
% 3.41/0.77 fof(f3671,plain,(
% 3.41/0.77 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2))),
% 3.41/0.77 inference(backward_subsumption_resolution,[status(thm)],[f191,f3655])).
% 3.41/0.77 fof(f3716,plain,(
% 3.41/0.77 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X0,X2,X3,X4,X3,X5)|cong(X1,X2,X4,X5))),
% 3.41/0.77 inference(forward_subsumption_resolution,[status(thm)],[f3670,f3655])).
% 3.41/0.77 fof(f3724,plain,(
% 3.41/0.77 ![X0,X1]: (cong(X0,X1,X0,X1))),
% 3.41/0.77 inference(resolution,[status(thm)],[f3716,f3671])).
% 3.41/0.77 fof(f3741,plain,(
% 3.41/0.77 ![X0,X1]: (midp(X0,X1,X1))),
% 3.41/0.77 inference(resolution,[status(thm)],[f3724,f1925])).
% 3.41/0.77 fof(f3743,plain,(
% 3.41/0.77 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X0,X0,X2,X1))),
% 3.41/0.77 inference(resolution,[status(thm)],[f3724,f232])).
% 3.41/0.77 fof(f3744,plain,(
% 3.41/0.77 ![X0,X1,X2]: (perp(X0,X0,X1,X2))),
% 3.41/0.77 inference(forward_subsumption_resolution,[status(thm)],[f3743,f3724])).
% 3.41/0.77 fof(f3784,plain,(
% 3.41/0.77 $false|~spl0_113),
% 3.41/0.77 inference(resolution,[status(thm)],[f3744,f2351])).
% 3.41/0.77 fof(f3785,plain,(
% 3.41/0.77 ~spl0_113),
% 3.41/0.77 inference(contradiction_clause,[status(thm)],[f3784])).
% 3.41/0.77 fof(f3971,plain,(
% 3.41/0.77 ![X0,X1,X2]: (~midp(X0,X1,X1)|cong(X1,X0,X2,X0)|~spl0_114)),
% 3.41/0.77 inference(resolution,[status(thm)],[f2354,f222])).
% 3.41/0.77 fof(f3972,plain,(
% 3.41/0.77 ![X0,X1,X2]: (cong(X0,X1,X2,X1)|~spl0_114)),
% 3.41/0.77 inference(forward_subsumption_resolution,[status(thm)],[f3971,f3741])).
% 3.41/0.77 fof(f3979,plain,(
% 3.41/0.77 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|perp(X0,X2,X3,X1)|~spl0_114)),
% 3.41/0.77 inference(backward_subsumption_resolution,[status(thm)],[f232,f3972])).
% 3.41/0.77 fof(f3980,plain,(
% 3.41/0.77 ![X0,X1,X2,X3]: (perp(X0,X1,X2,X3)|~spl0_114)),
% 3.41/0.77 inference(forward_subsumption_resolution,[status(thm)],[f3979,f3972])).
% 3.41/0.77 fof(f4036,plain,(
% 3.41/0.77 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|para(X4,X5,X2,X3)|~spl0_114)),
% 3.41/0.77 inference(backward_subsumption_resolution,[status(thm)],[f117,f3980])).
% 3.41/0.77 fof(f4037,plain,(
% 3.41/0.77 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3)|~spl0_114)),
% 3.41/0.77 inference(forward_subsumption_resolution,[status(thm)],[f4036,f3980])).
% 3.41/0.77 fof(f4149,plain,(
% 3.41/0.77 $false|~spl0_114),
% 3.41/0.77 inference(backward_subsumption_resolution,[status(thm)],[f382,f4037])).
% 3.41/0.77 fof(f4150,plain,(
% 3.41/0.77 ~spl0_114),
% 3.41/0.77 inference(contradiction_clause,[status(thm)],[f4149])).
% 3.41/0.77 fof(f4151,plain,(
% 3.41/0.77 $false),
% 3.41/0.77 inference(sat_refutation,[status(thm)],[f2357,f3785,f4150])).
% 3.41/0.77 % SZS output end CNFRefutation for theBenchmark.p
% 3.41/0.78 % Elapsed time: 0.504847 seconds
% 3.41/0.78 % CPU time: 3.861950 seconds
% 3.41/0.78 % Total memory used: 107.937 MB
% 3.41/0.78 % Net memory used: 99.001 MB
%------------------------------------------------------------------------------