TSTP Solution File: GEO626+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% 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 : n011.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 : Wed May 31 12:09:21 EDT 2023
% Result : Theorem 2.21s 0.76s
% Output : CNFRefutation 2.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GEO626+1 : TPTP v8.1.2. Released v7.5.0.
% 0.08/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.33 % Computer : n011.cluster.edu
% 0.09/0.33 % Model : x86_64 x86_64
% 0.09/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.33 % Memory : 8042.1875MB
% 0.09/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.33 % CPULimit : 300
% 0.09/0.33 % WCLimit : 300
% 0.09/0.33 % DateTime : Tue May 30 12:01:42 EDT 2023
% 0.09/0.33 % CPUTime :
% 0.09/0.34 % Drodi V3.5.1
% 2.21/0.76 % Refutation found
% 2.21/0.76 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.21/0.76 % SZS output start CNFRefutation for theBenchmark
% 2.21/0.76 fof(f1,axiom,(
% 2.21/0.76 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 2.21/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.21/0.76 fof(f2,axiom,(
% 2.21/0.76 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 2.21/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.21/0.76 fof(f3,axiom,(
% 2.21/0.76 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 2.21/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.21/0.76 fof(f5,axiom,(
% 2.21/0.76 (! [A,B,C,D] :( para(A,B,C,D)=> para(C,D,A,B) ) )),
% 2.21/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.21/0.76 fof(f7,axiom,(
% 2.21/0.76 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(A,B,D,C) ) )),
% 2.21/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.21/0.76 fof(f8,axiom,(
% 2.21/0.76 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 2.21/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.21/0.76 fof(f9,axiom,(
% 2.21/0.76 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 2.21/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.21/0.76 fof(f14,axiom,(
% 2.21/0.76 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,B,D,C) ) )),
% 2.21/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.21/0.76 fof(f15,axiom,(
% 2.21/0.76 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,C,B,D) ) )),
% 2.21/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.21/0.76 fof(f16,axiom,(
% 2.21/0.76 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(B,A,C,D) ) )),
% 2.21/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.21/0.76 fof(f17,axiom,(
% 2.21/0.76 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 2.21/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.21/0.76 fof(f19,axiom,(
% 2.21/0.76 (! [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) ) )),
% 2.21/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.21/0.76 fof(f23,axiom,(
% 2.21/0.76 (! [A,B,C,D] :( cong(A,B,C,D)=> cong(A,B,D,C) ) )),
% 2.21/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.21/0.76 fof(f24,axiom,(
% 2.21/0.76 (! [A,B,C,D] :( cong(A,B,C,D)=> cong(C,D,A,B) ) )),
% 2.21/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.21/0.76 fof(f39,axiom,(
% 2.21/0.76 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 2.21/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.21/0.76 fof(f40,axiom,(
% 2.21/0.76 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 2.21/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.21/0.76 fof(f41,axiom,(
% 2.21/0.76 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 2.21/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.21/0.76 fof(f43,axiom,(
% 2.21/0.76 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 2.21/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.21/0.76 fof(f44,axiom,(
% 2.21/0.76 (! [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) ) )),
% 2.21/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.21/0.76 fof(f45,axiom,(
% 2.21/0.76 (! [A,B,C,E,F] :( ( midp(E,A,B)& midp(F,A,C) )=> para(E,F,B,C) ) )),
% 2.21/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.21/0.76 fof(f57,axiom,(
% 2.21/0.76 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 2.21/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.21/0.76 fof(f67,axiom,(
% 2.21/0.76 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 2.21/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.21/0.76 fof(f68,axiom,(
% 2.21/0.76 (! [A,B,C] :( ( cong(A,B,A,C)& coll(A,B,C) )=> midp(A,B,C) ) )),
% 2.21/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.21/0.76 fof(f95,conjecture,(
% 2.21/0.76 (! [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) ) )),
% 2.21/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.21/0.76 fof(f96,negated_conjecture,(
% 2.21/0.76 ~((! [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) ) ))),
% 2.21/0.76 inference(negated_conjecture,[status(cth)],[f95])).
% 2.59/0.76 fof(f97,plain,(
% 2.59/0.76 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 2.59/0.76 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 2.59/0.76 fof(f98,plain,(
% 2.59/0.76 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 2.59/0.76 inference(cnf_transformation,[status(esa)],[f97])).
% 2.59/0.76 fof(f99,plain,(
% 2.59/0.76 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 2.59/0.76 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 2.59/0.76 fof(f100,plain,(
% 2.59/0.76 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 2.59/0.76 inference(cnf_transformation,[status(esa)],[f99])).
% 2.59/0.76 fof(f101,plain,(
% 2.59/0.76 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 2.59/0.76 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 2.59/0.76 fof(f102,plain,(
% 2.59/0.76 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 2.59/0.76 inference(miniscoping,[status(esa)],[f101])).
% 2.59/0.76 fof(f103,plain,(
% 2.59/0.76 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 2.59/0.76 inference(cnf_transformation,[status(esa)],[f102])).
% 2.59/0.76 fof(f106,plain,(
% 2.59/0.76 ![A,B,C,D]: (~para(A,B,C,D)|para(C,D,A,B))),
% 2.59/0.76 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 2.59/0.76 fof(f107,plain,(
% 2.59/0.76 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X2,X3,X0,X1))),
% 2.59/0.76 inference(cnf_transformation,[status(esa)],[f106])).
% 2.59/0.76 fof(f111,plain,(
% 2.59/0.76 ![A,B,C,D]: (~perp(A,B,C,D)|perp(A,B,D,C))),
% 2.59/0.76 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 2.59/0.76 fof(f112,plain,(
% 2.59/0.76 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X0,X1,X3,X2))),
% 2.59/0.76 inference(cnf_transformation,[status(esa)],[f111])).
% 2.59/0.76 fof(f113,plain,(
% 2.59/0.76 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 2.59/0.76 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 2.59/0.76 fof(f114,plain,(
% 2.59/0.76 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 2.59/0.76 inference(cnf_transformation,[status(esa)],[f113])).
% 2.59/0.76 fof(f115,plain,(
% 2.59/0.76 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 2.59/0.76 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 2.59/0.76 fof(f116,plain,(
% 2.59/0.76 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 2.59/0.76 inference(miniscoping,[status(esa)],[f115])).
% 2.59/0.76 fof(f117,plain,(
% 2.59/0.76 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 2.59/0.76 inference(cnf_transformation,[status(esa)],[f116])).
% 2.59/0.76 fof(f128,plain,(
% 2.59/0.76 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,B,D,C))),
% 2.59/0.76 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 2.59/0.76 fof(f129,plain,(
% 2.59/0.76 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X1,X3,X2))),
% 2.59/0.76 inference(cnf_transformation,[status(esa)],[f128])).
% 2.59/0.76 fof(f130,plain,(
% 2.59/0.76 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,C,B,D))),
% 2.59/0.76 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 2.59/0.76 fof(f131,plain,(
% 2.59/0.76 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X2,X1,X3))),
% 2.59/0.76 inference(cnf_transformation,[status(esa)],[f130])).
% 2.59/0.76 fof(f132,plain,(
% 2.59/0.76 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(B,A,C,D))),
% 2.59/0.76 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 2.59/0.76 fof(f133,plain,(
% 2.59/0.76 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X1,X0,X2,X3))),
% 2.59/0.76 inference(cnf_transformation,[status(esa)],[f132])).
% 2.59/0.76 fof(f134,plain,(
% 2.59/0.76 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 2.59/0.76 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 2.59/0.76 fof(f135,plain,(
% 2.59/0.76 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 2.59/0.76 inference(miniscoping,[status(esa)],[f134])).
% 2.59/0.76 fof(f136,plain,(
% 2.59/0.76 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 2.59/0.76 inference(cnf_transformation,[status(esa)],[f135])).
% 2.59/0.76 fof(f139,plain,(
% 2.59/0.76 ![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))),
% 2.59/0.76 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 2.59/0.76 fof(f140,plain,(
% 2.59/0.76 ![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))),
% 2.59/0.76 inference(cnf_transformation,[status(esa)],[f139])).
% 2.59/0.76 fof(f148,plain,(
% 2.59/0.76 ![A,B,C,D]: (~cong(A,B,C,D)|cong(A,B,D,C))),
% 2.59/0.76 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 2.59/0.76 fof(f149,plain,(
% 2.59/0.76 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X3)|cong(X0,X1,X3,X2))),
% 2.59/0.76 inference(cnf_transformation,[status(esa)],[f148])).
% 2.59/0.76 fof(f150,plain,(
% 2.59/0.76 ![A,B,C,D]: (~cong(A,B,C,D)|cong(C,D,A,B))),
% 2.59/0.76 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 2.59/0.76 fof(f151,plain,(
% 2.59/0.76 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X3)|cong(X2,X3,X0,X1))),
% 2.59/0.76 inference(cnf_transformation,[status(esa)],[f150])).
% 2.59/0.76 fof(f184,plain,(
% 2.59/0.76 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 2.59/0.76 inference(pre_NNF_transformation,[status(esa)],[f39])).
% 2.59/0.76 fof(f185,plain,(
% 2.59/0.76 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 2.59/0.76 inference(miniscoping,[status(esa)],[f184])).
% 2.59/0.76 fof(f186,plain,(
% 2.59/0.76 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 2.59/0.76 inference(cnf_transformation,[status(esa)],[f185])).
% 2.59/0.76 fof(f187,plain,(
% 2.59/0.76 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 2.59/0.76 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 2.59/0.76 fof(f188,plain,(
% 2.59/0.76 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 2.59/0.76 inference(miniscoping,[status(esa)],[f187])).
% 2.59/0.76 fof(f189,plain,(
% 2.59/0.76 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 2.59/0.76 inference(cnf_transformation,[status(esa)],[f188])).
% 2.59/0.76 fof(f190,plain,(
% 2.59/0.76 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 2.59/0.76 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 2.59/0.76 fof(f191,plain,(
% 2.59/0.76 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 2.59/0.76 inference(cnf_transformation,[status(esa)],[f190])).
% 2.59/0.76 fof(f194,plain,(
% 2.59/0.76 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 2.59/0.76 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 2.59/0.76 fof(f195,plain,(
% 2.59/0.76 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 2.59/0.76 inference(cnf_transformation,[status(esa)],[f194])).
% 2.59/0.76 fof(f196,plain,(
% 2.59/0.76 ![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))),
% 2.59/0.76 inference(pre_NNF_transformation,[status(esa)],[f44])).
% 2.59/0.76 fof(f197,plain,(
% 2.59/0.76 ![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))),
% 2.59/0.76 inference(miniscoping,[status(esa)],[f196])).
% 2.59/0.76 fof(f198,plain,(
% 2.59/0.76 ![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))),
% 2.59/0.76 inference(cnf_transformation,[status(esa)],[f197])).
% 2.59/0.76 fof(f199,plain,(
% 2.59/0.76 ![A,B,C,E,F]: ((~midp(E,A,B)|~midp(F,A,C))|para(E,F,B,C))),
% 2.59/0.76 inference(pre_NNF_transformation,[status(esa)],[f45])).
% 2.59/0.76 fof(f200,plain,(
% 2.59/0.76 ![B,C,E,F]: ((![A]: (~midp(E,A,B)|~midp(F,A,C)))|para(E,F,B,C))),
% 2.59/0.76 inference(miniscoping,[status(esa)],[f199])).
% 2.59/0.76 fof(f201,plain,(
% 2.59/0.76 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~midp(X3,X1,X4)|para(X0,X3,X2,X4))),
% 2.59/0.76 inference(cnf_transformation,[status(esa)],[f200])).
% 2.59/0.76 fof(f231,plain,(
% 2.59/0.76 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 2.59/0.76 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 2.59/0.76 fof(f232,plain,(
% 2.59/0.76 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 2.59/0.76 inference(cnf_transformation,[status(esa)],[f231])).
% 2.59/0.76 fof(f255,plain,(
% 2.59/0.76 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 2.59/0.76 inference(pre_NNF_transformation,[status(esa)],[f67])).
% 2.59/0.76 fof(f256,plain,(
% 2.59/0.76 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 2.59/0.76 inference(cnf_transformation,[status(esa)],[f255])).
% 2.59/0.76 fof(f257,plain,(
% 2.59/0.76 ![A,B,C]: ((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))),
% 2.59/0.76 inference(pre_NNF_transformation,[status(esa)],[f68])).
% 2.59/0.76 fof(f258,plain,(
% 2.59/0.76 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|~coll(X0,X1,X2)|midp(X0,X1,X2))),
% 2.59/0.76 inference(cnf_transformation,[status(esa)],[f257])).
% 2.59/0.76 fof(f369,plain,(
% 2.59/0.76 (?[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)))),
% 2.59/0.76 inference(pre_NNF_transformation,[status(esa)],[f96])).
% 2.59/0.76 fof(f370,plain,(
% 2.59/0.76 ?[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))),
% 2.59/0.76 inference(miniscoping,[status(esa)],[f369])).
% 2.59/0.76 fof(f371,plain,(
% 2.59/0.76 ((((((((((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))),
% 2.59/0.76 inference(skolemization,[status(esa)],[f370])).
% 2.59/0.76 fof(f374,plain,(
% 2.59/0.76 perp(sk0_27,sk0_24,sk0_28,sk0_20)),
% 2.59/0.76 inference(cnf_transformation,[status(esa)],[f371])).
% 2.59/0.76 fof(f376,plain,(
% 2.59/0.76 perp(sk0_25,sk0_24,sk0_28,sk0_21)),
% 2.59/0.76 inference(cnf_transformation,[status(esa)],[f371])).
% 2.59/0.76 fof(f382,plain,(
% 2.59/0.76 ~para(sk0_22,sk0_21,sk0_23,sk0_20)),
% 2.59/0.76 inference(cnf_transformation,[status(esa)],[f371])).
% 2.59/0.76 fof(f581,plain,(
% 2.59/0.76 perp(sk0_28,sk0_21,sk0_25,sk0_24)),
% 2.59/0.76 inference(resolution,[status(thm)],[f114,f376])).
% 2.59/0.76 fof(f583,plain,(
% 2.59/0.76 perp(sk0_28,sk0_20,sk0_27,sk0_24)),
% 2.59/0.76 inference(resolution,[status(thm)],[f114,f374])).
% 2.59/0.76 fof(f585,plain,(
% 2.59/0.76 ![X0,X1]: (~perp(X0,X1,sk0_25,sk0_24)|para(X0,X1,sk0_28,sk0_21))),
% 2.59/0.76 inference(resolution,[status(thm)],[f117,f376])).
% 2.59/0.76 fof(f600,plain,(
% 2.59/0.76 perp(sk0_28,sk0_21,sk0_24,sk0_25)),
% 2.59/0.76 inference(resolution,[status(thm)],[f581,f112])).
% 2.59/0.76 fof(f604,plain,(
% 2.59/0.76 ![X0,X1]: (~perp(X0,X1,sk0_28,sk0_20)|para(X0,X1,sk0_27,sk0_24))),
% 2.59/0.76 inference(resolution,[status(thm)],[f583,f117])).
% 2.59/0.76 fof(f610,plain,(
% 2.59/0.76 ![X0,X1]: (~perp(X0,X1,sk0_28,sk0_21)|para(X0,X1,sk0_24,sk0_25))),
% 2.59/0.76 inference(resolution,[status(thm)],[f600,f117])).
% 2.59/0.76 fof(f838,plain,(
% 2.59/0.76 ![X0,X1,X2,X3,X4,X5]: (eqangle(X0,X1,X2,X3,X0,X1,X4,X5)|~para(X2,X3,X4,X5))),
% 2.59/0.76 inference(resolution,[status(thm)],[f140,f189])).
% 2.59/0.76 fof(f890,plain,(
% 2.59/0.76 para(sk0_27,sk0_24,sk0_27,sk0_24)),
% 2.59/0.76 inference(resolution,[status(thm)],[f604,f374])).
% 2.59/0.76 fof(f1004,plain,(
% 2.59/0.76 ![X0]: (~midp(sk0_22,X0,sk0_23)|~midp(sk0_21,X0,sk0_20))),
% 2.59/0.76 inference(resolution,[status(thm)],[f201,f382])).
% 2.59/0.76 fof(f3323,plain,(
% 2.59/0.76 spl0_133 <=> ~para(X0,X1,X0,X1)),
% 2.59/0.76 introduced(split_symbol_definition)).
% 2.59/0.76 fof(f3324,plain,(
% 2.59/0.76 ![X0,X1]: (~para(X0,X1,X0,X1)|~spl0_133)),
% 2.59/0.76 inference(component_clause,[status(thm)],[f3323])).
% 2.59/0.76 fof(f3326,plain,(
% 2.59/0.76 spl0_134 <=> para(X2,X3,X2,X3)),
% 2.59/0.76 introduced(split_symbol_definition)).
% 2.59/0.76 fof(f3327,plain,(
% 2.59/0.76 ![X0,X1]: (para(X0,X1,X0,X1)|~spl0_134)),
% 2.59/0.76 inference(component_clause,[status(thm)],[f3326])).
% 2.59/0.76 fof(f3329,plain,(
% 2.59/0.76 ![X0,X1,X2,X3]: (~para(X0,X1,X0,X1)|para(X2,X3,X2,X3))),
% 2.59/0.76 inference(resolution,[status(thm)],[f838,f186])).
% 2.59/0.76 fof(f3330,plain,(
% 2.59/0.76 spl0_133|spl0_134),
% 2.59/0.76 inference(split_clause,[status(thm)],[f3329,f3323,f3326])).
% 2.59/0.76 fof(f3491,plain,(
% 2.59/0.76 $false|~spl0_133),
% 2.59/0.76 inference(backward_subsumption_resolution,[status(thm)],[f890,f3324])).
% 2.59/0.76 fof(f3492,plain,(
% 2.59/0.76 ~spl0_133),
% 2.59/0.76 inference(contradiction_clause,[status(thm)],[f3491])).
% 2.59/0.76 fof(f3509,plain,(
% 2.59/0.76 ![X0,X1]: (coll(X0,X1,X1)|~spl0_134)),
% 2.59/0.76 inference(resolution,[status(thm)],[f3327,f256])).
% 2.59/0.76 fof(f3554,plain,(
% 2.59/0.76 ![X0,X1]: (coll(X0,X1,X0)|~spl0_134)),
% 2.59/0.76 inference(resolution,[status(thm)],[f3509,f100])).
% 2.59/0.76 fof(f3601,plain,(
% 2.59/0.76 ![X0,X1]: (coll(X0,X0,X1)|~spl0_134)),
% 2.59/0.76 inference(resolution,[status(thm)],[f3554,f98])).
% 2.59/0.76 fof(f3612,plain,(
% 2.59/0.76 ![X0,X1,X2]: (~coll(X0,X0,X1)|coll(X1,X2,X0)|~spl0_134)),
% 2.59/0.76 inference(resolution,[status(thm)],[f3601,f103])).
% 2.59/0.76 fof(f3613,plain,(
% 2.59/0.76 ![X0,X1,X2]: (coll(X0,X1,X2)|~spl0_134)),
% 2.59/0.76 inference(forward_subsumption_resolution,[status(thm)],[f3612,f3601])).
% 2.59/0.76 fof(f3616,plain,(
% 2.59/0.76 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|cyclic(X1,X2,X0,X3)|~spl0_134)),
% 2.59/0.76 inference(backward_subsumption_resolution,[status(thm)],[f195,f3613])).
% 2.59/0.76 fof(f3645,plain,(
% 2.59/0.76 ![X0,X1,X2]: (cyclic(X0,X1,X2,X2)|~para(X2,X1,X2,X1)|~spl0_134)),
% 2.59/0.76 inference(resolution,[status(thm)],[f3616,f838])).
% 2.59/0.76 fof(f3646,plain,(
% 2.59/0.76 ![X0,X1,X2]: (cyclic(X0,X1,X2,X2)|~spl0_134)),
% 2.59/0.76 inference(forward_subsumption_resolution,[status(thm)],[f3645,f3327])).
% 2.59/0.76 fof(f3659,plain,(
% 2.59/0.76 ![X0,X1,X2]: (cyclic(X0,X1,X2,X1)|~spl0_134)),
% 2.59/0.76 inference(resolution,[status(thm)],[f3646,f131])).
% 2.59/0.76 fof(f3662,plain,(
% 2.59/0.76 ![X0,X1,X2]: (cyclic(X0,X1,X2,X0)|~spl0_134)),
% 2.59/0.76 inference(resolution,[status(thm)],[f3659,f133])).
% 2.59/0.76 fof(f3668,plain,(
% 2.59/0.76 ![X0,X1,X2]: (cyclic(X0,X1,X0,X2)|~spl0_134)),
% 2.59/0.76 inference(resolution,[status(thm)],[f3662,f129])).
% 2.59/0.76 fof(f3674,plain,(
% 2.59/0.76 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X0,X2)|cyclic(X1,X0,X2,X3)|~spl0_134)),
% 2.59/0.77 inference(resolution,[status(thm)],[f3668,f136])).
% 2.59/0.77 fof(f3675,plain,(
% 2.59/0.77 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3)|~spl0_134)),
% 2.59/0.77 inference(forward_subsumption_resolution,[status(thm)],[f3674,f3668])).
% 2.59/0.77 fof(f3684,plain,(
% 2.59/0.77 ![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)|~spl0_134)),
% 2.59/0.77 inference(backward_subsumption_resolution,[status(thm)],[f198,f3675])).
% 2.59/0.77 fof(f3685,plain,(
% 2.59/0.77 ![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)|~spl0_134)),
% 2.59/0.77 inference(forward_subsumption_resolution,[status(thm)],[f3684,f3675])).
% 2.59/0.77 fof(f3686,plain,(
% 2.59/0.77 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~spl0_134)),
% 2.59/0.77 inference(backward_subsumption_resolution,[status(thm)],[f191,f3675])).
% 2.59/0.77 fof(f3698,plain,(
% 2.59/0.77 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X0,X2,X3,X4,X3,X5)|cong(X1,X2,X4,X5)|~spl0_134)),
% 2.59/0.77 inference(forward_subsumption_resolution,[status(thm)],[f3685,f3675])).
% 2.59/0.77 fof(f3704,plain,(
% 2.59/0.77 ![X0,X1,X2,X3]: (cong(X0,X1,X2,X1)|~para(X3,X0,X3,X2)|~spl0_134)),
% 2.59/0.77 inference(resolution,[status(thm)],[f3698,f189])).
% 2.59/0.77 fof(f4174,plain,(
% 2.59/0.77 ![X0,X1]: (cong(X0,X1,X0,X1)|~spl0_134)),
% 2.59/0.77 inference(resolution,[status(thm)],[f3686,f3698])).
% 2.59/0.77 fof(f4218,plain,(
% 2.59/0.77 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X0,X0,X1,X2)|~spl0_134)),
% 2.59/0.77 inference(resolution,[status(thm)],[f4174,f232])).
% 2.59/0.77 fof(f4219,plain,(
% 2.59/0.77 ![X0,X1,X2]: (perp(X0,X0,X1,X2)|~spl0_134)),
% 2.59/0.77 inference(forward_subsumption_resolution,[status(thm)],[f4218,f4174])).
% 2.59/0.77 fof(f4246,plain,(
% 2.59/0.77 ![X0]: (para(X0,X0,sk0_24,sk0_25)|~spl0_134)),
% 2.59/0.77 inference(resolution,[status(thm)],[f4219,f610])).
% 2.59/0.77 fof(f4404,plain,(
% 2.59/0.77 ![X0]: (para(sk0_24,sk0_25,X0,X0)|~spl0_134)),
% 2.59/0.77 inference(resolution,[status(thm)],[f4246,f107])).
% 2.59/0.77 fof(f4873,plain,(
% 2.59/0.77 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|midp(X0,X1,X2)|~spl0_134)),
% 2.59/0.77 inference(forward_subsumption_resolution,[status(thm)],[f258,f3613])).
% 2.59/0.77 fof(f5156,plain,(
% 2.59/0.77 ![X0]: (cong(sk0_25,X0,sk0_24,X0)|~spl0_134)),
% 2.59/0.77 inference(resolution,[status(thm)],[f3704,f4404])).
% 2.59/0.77 fof(f5256,plain,(
% 2.59/0.77 ![X0,X1]: (~cong(sk0_25,X0,sk0_24,X0)|perp(sk0_25,sk0_24,X0,X1)|~spl0_134)),
% 2.59/0.77 inference(resolution,[status(thm)],[f5156,f232])).
% 2.59/0.77 fof(f5257,plain,(
% 2.59/0.77 ![X0,X1]: (perp(sk0_25,sk0_24,X0,X1)|~spl0_134)),
% 2.59/0.77 inference(forward_subsumption_resolution,[status(thm)],[f5256,f5156])).
% 2.59/0.77 fof(f5616,plain,(
% 2.59/0.77 ![X0,X1]: (perp(X0,X1,sk0_25,sk0_24)|~spl0_134)),
% 2.59/0.77 inference(resolution,[status(thm)],[f5257,f114])).
% 2.59/0.77 fof(f6412,plain,(
% 2.59/0.77 ![X0,X1]: (para(X0,X1,sk0_28,sk0_21)|~spl0_134)),
% 2.59/0.77 inference(backward_subsumption_resolution,[status(thm)],[f585,f5616])).
% 2.59/0.77 fof(f6976,plain,(
% 2.59/0.77 ![X0,X1]: (cong(X0,X1,sk0_21,X1)|~spl0_134)),
% 2.59/0.77 inference(resolution,[status(thm)],[f6412,f3704])).
% 2.59/0.77 fof(f7005,plain,(
% 2.59/0.77 ![X0,X1]: (cong(X0,X1,X1,sk0_21)|~spl0_134)),
% 2.59/0.77 inference(resolution,[status(thm)],[f6976,f149])).
% 2.59/0.77 fof(f7066,plain,(
% 2.59/0.77 ![X0,X1]: (cong(X0,sk0_21,X1,X0)|~spl0_134)),
% 2.59/0.77 inference(resolution,[status(thm)],[f7005,f151])).
% 2.59/0.77 fof(f7218,plain,(
% 2.59/0.77 ![X0,X1]: (cong(X0,sk0_21,X0,X1)|~spl0_134)),
% 2.59/0.77 inference(resolution,[status(thm)],[f7066,f149])).
% 2.59/0.77 fof(f7517,plain,(
% 2.59/0.77 ![X0,X1]: (midp(X0,sk0_21,X1)|~spl0_134)),
% 2.59/0.77 inference(resolution,[status(thm)],[f7218,f4873])).
% 2.59/0.77 fof(f7535,plain,(
% 2.59/0.77 ~midp(sk0_21,sk0_21,sk0_20)|~spl0_134),
% 2.59/0.77 inference(resolution,[status(thm)],[f7517,f1004])).
% 2.59/0.77 fof(f7536,plain,(
% 2.59/0.77 $false|~spl0_134),
% 2.59/0.77 inference(forward_subsumption_resolution,[status(thm)],[f7535,f7517])).
% 2.59/0.77 fof(f7537,plain,(
% 2.59/0.77 ~spl0_134),
% 2.59/0.77 inference(contradiction_clause,[status(thm)],[f7536])).
% 2.59/0.77 fof(f7538,plain,(
% 2.59/0.77 $false),
% 2.59/0.77 inference(sat_refutation,[status(thm)],[f3330,f3492,f7537])).
% 2.59/0.77 % SZS output end CNFRefutation for theBenchmark.p
% 2.59/0.79 % Elapsed time: 0.448089 seconds
% 2.59/0.79 % CPU time: 2.661594 seconds
% 2.59/0.79 % Memory used: 75.851 MB
%------------------------------------------------------------------------------