TSTP Solution File: GEO542+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO542+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.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 12:09:06 EDT 2023
% Result : Theorem 5.35s 1.14s
% Output : CNFRefutation 5.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GEO542+1 : TPTP v8.1.2. Released v7.5.0.
% 0.05/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n020.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 12:01:43 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.15/0.32 % Drodi V3.5.1
% 5.35/1.14 % Refutation found
% 5.35/1.14 % SZS status Theorem for theBenchmark: Theorem is valid
% 5.35/1.14 % SZS output start CNFRefutation for theBenchmark
% 5.35/1.14 fof(f1,axiom,(
% 5.35/1.14 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 5.35/1.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.35/1.14 fof(f2,axiom,(
% 5.35/1.14 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 5.35/1.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.35/1.14 fof(f3,axiom,(
% 5.35/1.14 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 5.35/1.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.35/1.14 fof(f8,axiom,(
% 5.35/1.14 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 5.35/1.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.35/1.14 fof(f11,axiom,(
% 5.35/1.14 (! [A,B,M] :( midp(M,B,A)=> midp(M,A,B) ) )),
% 5.35/1.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.35/1.14 fof(f13,axiom,(
% 5.35/1.14 (! [A,B,C,D,O] :( ( cong(O,A,O,B)& cong(O,A,O,C)& cong(O,A,O,D) )=> cyclic(A,B,C,D) ) )),
% 5.35/1.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.35/1.14 fof(f15,axiom,(
% 5.35/1.14 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,C,B,D) ) )),
% 5.35/1.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.35/1.14 fof(f17,axiom,(
% 5.35/1.14 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 5.35/1.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.35/1.14 fof(f18,axiom,(
% 5.35/1.14 (! [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) ) )),
% 5.35/1.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.35/1.14 fof(f19,axiom,(
% 5.35/1.14 (! [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) ) )),
% 5.35/1.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.35/1.14 fof(f21,axiom,(
% 5.35/1.14 (! [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) ) )),
% 5.35/1.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.35/1.14 fof(f39,axiom,(
% 5.35/1.14 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 5.35/1.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.35/1.14 fof(f40,axiom,(
% 5.35/1.14 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 5.35/1.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.35/1.14 fof(f41,axiom,(
% 5.35/1.14 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 5.35/1.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.35/1.14 fof(f43,axiom,(
% 5.35/1.14 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 5.35/1.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.35/1.14 fof(f44,axiom,(
% 5.35/1.14 (! [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) ) )),
% 5.35/1.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.35/1.14 fof(f46,axiom,(
% 5.35/1.14 (! [A,B,C,E,F] :( ( midp(E,A,B)& para(E,F,B,C)& coll(F,A,C) )=> midp(F,A,C) ) )),
% 5.35/1.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.35/1.14 fof(f53,axiom,(
% 5.35/1.14 (! [A,B,C,M] :( ( perp(A,B,B,C)& midp(M,A,C) )=> cong(A,M,B,M) ) )),
% 5.35/1.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.35/1.14 fof(f56,axiom,(
% 5.35/1.14 (! [A,B,M,O] :( ( midp(M,A,B)& perp(O,M,A,B) )=> cong(O,A,O,B) ) )),
% 5.35/1.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.35/1.14 fof(f57,axiom,(
% 5.35/1.14 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 5.35/1.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.35/1.14 fof(f58,axiom,(
% 5.35/1.14 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q)& cyclic(A,B,P,Q) )=> perp(P,A,A,Q) ) )),
% 5.35/1.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.35/1.14 fof(f67,axiom,(
% 5.35/1.14 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 5.35/1.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.35/1.14 fof(f68,axiom,(
% 5.35/1.14 (! [A,B,C] :( ( cong(A,B,A,C)& coll(A,B,C) )=> midp(A,B,C) ) )),
% 5.35/1.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.35/1.14 fof(f69,axiom,(
% 5.35/1.14 (! [A,B,C] :( midp(A,B,C)=> cong(A,B,A,C) ) )),
% 5.35/1.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.35/1.14 fof(f95,conjecture,(
% 5.35/1.14 (! [A,B,C,A1,B1,C1,O] :( ( midp(A1,C,B)& midp(B1,C,A)& midp(C1,B,A)& circle(O,A,B,C) )=> perp(O,A1,B1,C1) ) )),
% 5.35/1.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.35/1.14 fof(f96,negated_conjecture,(
% 5.35/1.14 ~((! [A,B,C,A1,B1,C1,O] :( ( midp(A1,C,B)& midp(B1,C,A)& midp(C1,B,A)& circle(O,A,B,C) )=> perp(O,A1,B1,C1) ) ))),
% 5.35/1.14 inference(negated_conjecture,[status(cth)],[f95])).
% 5.35/1.14 fof(f97,plain,(
% 5.35/1.14 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 5.35/1.14 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 5.35/1.14 fof(f98,plain,(
% 5.35/1.14 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 5.35/1.14 inference(cnf_transformation,[status(esa)],[f97])).
% 5.35/1.14 fof(f99,plain,(
% 5.35/1.14 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 5.35/1.14 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 5.35/1.14 fof(f100,plain,(
% 5.35/1.14 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 5.35/1.14 inference(cnf_transformation,[status(esa)],[f99])).
% 5.35/1.14 fof(f101,plain,(
% 5.35/1.14 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 5.35/1.14 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 5.35/1.14 fof(f102,plain,(
% 5.35/1.14 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 5.35/1.14 inference(miniscoping,[status(esa)],[f101])).
% 5.35/1.14 fof(f103,plain,(
% 5.35/1.14 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 5.35/1.14 inference(cnf_transformation,[status(esa)],[f102])).
% 5.35/1.14 fof(f113,plain,(
% 5.35/1.14 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 5.35/1.14 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 5.35/1.14 fof(f114,plain,(
% 5.35/1.14 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 5.35/1.14 inference(cnf_transformation,[status(esa)],[f113])).
% 5.35/1.14 fof(f121,plain,(
% 5.35/1.14 ![A,B,M]: (~midp(M,B,A)|midp(M,A,B))),
% 5.35/1.14 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 5.35/1.14 fof(f122,plain,(
% 5.35/1.14 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X0,X2,X1))),
% 5.35/1.14 inference(cnf_transformation,[status(esa)],[f121])).
% 5.35/1.14 fof(f125,plain,(
% 5.35/1.14 ![A,B,C,D,O]: (((~cong(O,A,O,B)|~cong(O,A,O,C))|~cong(O,A,O,D))|cyclic(A,B,C,D))),
% 5.35/1.14 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 5.35/1.14 fof(f126,plain,(
% 5.35/1.14 ![A,B,C,D]: ((![O]: ((~cong(O,A,O,B)|~cong(O,A,O,C))|~cong(O,A,O,D)))|cyclic(A,B,C,D))),
% 5.35/1.14 inference(miniscoping,[status(esa)],[f125])).
% 5.35/1.14 fof(f127,plain,(
% 5.35/1.14 ![X0,X1,X2,X3,X4]: (~cong(X0,X1,X0,X2)|~cong(X0,X1,X0,X3)|~cong(X0,X1,X0,X4)|cyclic(X1,X2,X3,X4))),
% 5.35/1.14 inference(cnf_transformation,[status(esa)],[f126])).
% 5.35/1.14 fof(f130,plain,(
% 5.35/1.14 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,C,B,D))),
% 5.35/1.14 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 5.35/1.14 fof(f131,plain,(
% 5.35/1.14 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X2,X1,X3))),
% 5.35/1.14 inference(cnf_transformation,[status(esa)],[f130])).
% 5.35/1.14 fof(f134,plain,(
% 5.35/1.14 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 5.35/1.14 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 5.35/1.14 fof(f135,plain,(
% 5.35/1.14 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 5.35/1.14 inference(miniscoping,[status(esa)],[f134])).
% 5.35/1.14 fof(f136,plain,(
% 5.35/1.14 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 5.35/1.14 inference(cnf_transformation,[status(esa)],[f135])).
% 5.35/1.14 fof(f137,plain,(
% 5.35/1.14 ![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))),
% 5.35/1.14 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 5.35/1.14 fof(f138,plain,(
% 5.35/1.14 ![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))),
% 5.35/1.14 inference(cnf_transformation,[status(esa)],[f137])).
% 5.35/1.14 fof(f139,plain,(
% 5.35/1.14 ![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))),
% 5.35/1.14 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 5.35/1.14 fof(f140,plain,(
% 5.35/1.14 ![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))),
% 5.35/1.14 inference(cnf_transformation,[status(esa)],[f139])).
% 5.35/1.14 fof(f143,plain,(
% 5.35/1.14 ![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))),
% 5.35/1.14 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 5.35/1.14 fof(f144,plain,(
% 5.35/1.14 ![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))),
% 5.35/1.14 inference(cnf_transformation,[status(esa)],[f143])).
% 5.35/1.14 fof(f184,plain,(
% 5.35/1.14 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 5.35/1.14 inference(pre_NNF_transformation,[status(esa)],[f39])).
% 5.35/1.14 fof(f185,plain,(
% 5.35/1.14 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 5.35/1.14 inference(miniscoping,[status(esa)],[f184])).
% 5.35/1.14 fof(f186,plain,(
% 5.35/1.14 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 5.35/1.14 inference(cnf_transformation,[status(esa)],[f185])).
% 5.35/1.14 fof(f187,plain,(
% 5.35/1.14 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 5.35/1.14 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 5.35/1.14 fof(f188,plain,(
% 5.35/1.14 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 5.35/1.14 inference(miniscoping,[status(esa)],[f187])).
% 5.35/1.14 fof(f189,plain,(
% 5.35/1.14 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 5.35/1.14 inference(cnf_transformation,[status(esa)],[f188])).
% 5.35/1.14 fof(f190,plain,(
% 5.35/1.14 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 5.35/1.14 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 5.35/1.14 fof(f191,plain,(
% 5.35/1.14 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 5.35/1.14 inference(cnf_transformation,[status(esa)],[f190])).
% 5.35/1.14 fof(f194,plain,(
% 5.35/1.14 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 5.35/1.14 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 5.35/1.14 fof(f195,plain,(
% 5.35/1.14 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 5.35/1.14 inference(cnf_transformation,[status(esa)],[f194])).
% 5.35/1.14 fof(f196,plain,(
% 5.35/1.14 ![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))),
% 5.35/1.14 inference(pre_NNF_transformation,[status(esa)],[f44])).
% 5.35/1.14 fof(f197,plain,(
% 5.35/1.14 ![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))),
% 5.35/1.14 inference(miniscoping,[status(esa)],[f196])).
% 5.35/1.14 fof(f198,plain,(
% 5.35/1.14 ![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))),
% 5.35/1.14 inference(cnf_transformation,[status(esa)],[f197])).
% 5.35/1.14 fof(f202,plain,(
% 5.35/1.14 ![A,B,C,E,F]: (((~midp(E,A,B)|~para(E,F,B,C))|~coll(F,A,C))|midp(F,A,C))),
% 5.35/1.14 inference(pre_NNF_transformation,[status(esa)],[f46])).
% 5.35/1.14 fof(f203,plain,(
% 5.35/1.14 ![A,C,F]: (((![B,E]: (~midp(E,A,B)|~para(E,F,B,C)))|~coll(F,A,C))|midp(F,A,C))),
% 5.35/1.14 inference(miniscoping,[status(esa)],[f202])).
% 5.35/1.14 fof(f204,plain,(
% 5.35/1.14 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X0,X3,X2,X4)|~coll(X3,X1,X4)|midp(X3,X1,X4))),
% 5.35/1.14 inference(cnf_transformation,[status(esa)],[f203])).
% 5.35/1.14 fof(f220,plain,(
% 5.35/1.14 ![A,B,C,M]: ((~perp(A,B,B,C)|~midp(M,A,C))|cong(A,M,B,M))),
% 5.35/1.14 inference(pre_NNF_transformation,[status(esa)],[f53])).
% 5.35/1.14 fof(f221,plain,(
% 5.35/1.14 ![A,B,M]: ((![C]: (~perp(A,B,B,C)|~midp(M,A,C)))|cong(A,M,B,M))),
% 5.35/1.14 inference(miniscoping,[status(esa)],[f220])).
% 5.35/1.14 fof(f222,plain,(
% 5.35/1.14 ![X0,X1,X2,X3]: (~perp(X0,X1,X1,X2)|~midp(X3,X0,X2)|cong(X0,X3,X1,X3))),
% 5.35/1.14 inference(cnf_transformation,[status(esa)],[f221])).
% 5.35/1.14 fof(f228,plain,(
% 5.35/1.14 ![A,B,M,O]: ((~midp(M,A,B)|~perp(O,M,A,B))|cong(O,A,O,B))),
% 5.35/1.14 inference(pre_NNF_transformation,[status(esa)],[f56])).
% 5.35/1.14 fof(f229,plain,(
% 5.35/1.14 ![A,B,O]: ((![M]: (~midp(M,A,B)|~perp(O,M,A,B)))|cong(O,A,O,B))),
% 5.35/1.14 inference(miniscoping,[status(esa)],[f228])).
% 5.35/1.14 fof(f230,plain,(
% 5.35/1.14 ![X0,X1,X2,X3]: (~midp(X0,X1,X2)|~perp(X3,X0,X1,X2)|cong(X3,X1,X3,X2))),
% 5.35/1.14 inference(cnf_transformation,[status(esa)],[f229])).
% 5.35/1.14 fof(f231,plain,(
% 5.35/1.14 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 5.35/1.14 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 5.35/1.14 fof(f232,plain,(
% 5.35/1.14 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 5.35/1.14 inference(cnf_transformation,[status(esa)],[f231])).
% 5.35/1.14 fof(f233,plain,(
% 5.35/1.14 ![A,B,P,Q]: (((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q))|perp(P,A,A,Q))),
% 5.35/1.14 inference(pre_NNF_transformation,[status(esa)],[f58])).
% 5.35/1.14 fof(f234,plain,(
% 5.35/1.14 ![A,P,Q]: ((![B]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q)))|perp(P,A,A,Q))),
% 5.35/1.14 inference(miniscoping,[status(esa)],[f233])).
% 5.35/1.14 fof(f235,plain,(
% 5.35/1.14 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|~cyclic(X0,X2,X1,X3)|perp(X1,X0,X0,X3))),
% 5.35/1.14 inference(cnf_transformation,[status(esa)],[f234])).
% 5.35/1.14 fof(f255,plain,(
% 5.35/1.14 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 5.35/1.14 inference(pre_NNF_transformation,[status(esa)],[f67])).
% 5.35/1.14 fof(f256,plain,(
% 5.35/1.14 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 5.35/1.14 inference(cnf_transformation,[status(esa)],[f255])).
% 5.35/1.14 fof(f257,plain,(
% 5.35/1.14 ![A,B,C]: ((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))),
% 5.35/1.14 inference(pre_NNF_transformation,[status(esa)],[f68])).
% 5.35/1.14 fof(f258,plain,(
% 5.35/1.14 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|~coll(X0,X1,X2)|midp(X0,X1,X2))),
% 5.35/1.14 inference(cnf_transformation,[status(esa)],[f257])).
% 5.35/1.14 fof(f259,plain,(
% 5.35/1.14 ![A,B,C]: (~midp(A,B,C)|cong(A,B,A,C))),
% 5.35/1.14 inference(pre_NNF_transformation,[status(esa)],[f69])).
% 5.35/1.14 fof(f260,plain,(
% 5.35/1.14 ![X0,X1,X2]: (~midp(X0,X1,X2)|cong(X0,X1,X0,X2))),
% 5.35/1.14 inference(cnf_transformation,[status(esa)],[f259])).
% 5.35/1.14 fof(f369,plain,(
% 5.35/1.14 (?[A,B,C,A1,B1,C1,O]: ((((midp(A1,C,B)&midp(B1,C,A))&midp(C1,B,A))&circle(O,A,B,C))&~perp(O,A1,B1,C1)))),
% 5.35/1.14 inference(pre_NNF_transformation,[status(esa)],[f96])).
% 5.35/1.14 fof(f370,plain,(
% 5.35/1.14 ?[A1,B1,C1,O]: ((?[A,B,C]: (((midp(A1,C,B)&midp(B1,C,A))&midp(C1,B,A))&circle(O,A,B,C)))&~perp(O,A1,B1,C1))),
% 5.35/1.14 inference(miniscoping,[status(esa)],[f369])).
% 5.35/1.14 fof(f371,plain,(
% 5.35/1.14 ((((midp(sk0_20,sk0_26,sk0_25)&midp(sk0_21,sk0_26,sk0_24))&midp(sk0_22,sk0_25,sk0_24))&circle(sk0_23,sk0_24,sk0_25,sk0_26))&~perp(sk0_23,sk0_20,sk0_21,sk0_22))),
% 5.35/1.14 inference(skolemization,[status(esa)],[f370])).
% 5.35/1.14 fof(f374,plain,(
% 5.35/1.14 midp(sk0_22,sk0_25,sk0_24)),
% 5.35/1.14 inference(cnf_transformation,[status(esa)],[f371])).
% 5.35/1.14 fof(f376,plain,(
% 5.35/1.14 ~perp(sk0_23,sk0_20,sk0_21,sk0_22)),
% 5.35/1.14 inference(cnf_transformation,[status(esa)],[f371])).
% 5.35/1.14 fof(f377,plain,(
% 5.35/1.14 midp(sk0_22,sk0_24,sk0_25)),
% 5.35/1.14 inference(resolution,[status(thm)],[f122,f374])).
% 5.35/1.14 fof(f836,plain,(
% 5.35/1.14 ![X0,X1,X2,X3]: (~cong(X0,X1,X0,X2)|cyclic(X1,X2,X3,X3)|~midp(X0,X1,X3))),
% 5.35/1.14 inference(resolution,[status(thm)],[f127,f260])).
% 5.35/1.14 fof(f2350,plain,(
% 5.35/1.14 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X2)|~midp(X3,X0,X2)|~midp(X3,X0,X1))),
% 5.35/1.14 inference(resolution,[status(thm)],[f836,f260])).
% 5.35/1.14 fof(f2660,plain,(
% 5.35/1.14 ![X0,X1,X2,X3]: (~midp(X0,X1,X2)|~midp(X0,X1,X3)|cyclic(X1,X2,X3,X2))),
% 5.35/1.14 inference(resolution,[status(thm)],[f2350,f131])).
% 5.35/1.14 fof(f2806,plain,(
% 5.35/1.14 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X2,X3,X4,X5,X4,X5))),
% 5.35/1.14 inference(resolution,[status(thm)],[f189,f144])).
% 5.35/1.14 fof(f2808,plain,(
% 5.35/1.14 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X4,X5,X0,X1,X4,X5,X2,X3))),
% 5.35/1.14 inference(resolution,[status(thm)],[f189,f140])).
% 5.35/1.14 fof(f2809,plain,(
% 5.35/1.14 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X1,X0,X4,X5,X2,X3,X4,X5))),
% 5.35/1.14 inference(resolution,[status(thm)],[f189,f138])).
% 5.35/1.14 fof(f2816,plain,(
% 5.35/1.14 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X1,X2,X0,X3,X1,X3,X0))),
% 5.35/1.14 inference(resolution,[status(thm)],[f191,f140])).
% 5.35/1.14 fof(f4452,plain,(
% 5.35/1.14 spl0_174 <=> ~para(X0,X1,X0,X1)),
% 5.35/1.14 introduced(split_symbol_definition)).
% 5.35/1.14 fof(f4453,plain,(
% 5.35/1.14 ![X0,X1]: (~para(X0,X1,X0,X1)|~spl0_174)),
% 5.35/1.14 inference(component_clause,[status(thm)],[f4452])).
% 5.35/1.14 fof(f4455,plain,(
% 5.35/1.14 spl0_175 <=> para(X2,X3,X2,X3)),
% 5.35/1.14 introduced(split_symbol_definition)).
% 5.35/1.14 fof(f4456,plain,(
% 5.35/1.14 ![X0,X1]: (para(X0,X1,X0,X1)|~spl0_175)),
% 5.35/1.14 inference(component_clause,[status(thm)],[f4455])).
% 5.35/1.14 fof(f4458,plain,(
% 5.35/1.14 ![X0,X1,X2,X3]: (~para(X0,X1,X0,X1)|para(X2,X3,X2,X3))),
% 5.35/1.14 inference(resolution,[status(thm)],[f2808,f186])).
% 5.35/1.14 fof(f4459,plain,(
% 5.35/1.14 spl0_174|spl0_175),
% 5.35/1.14 inference(split_clause,[status(thm)],[f4458,f4452,f4455])).
% 5.35/1.14 fof(f4474,plain,(
% 5.35/1.14 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X1,X0,X2,X3))),
% 5.35/1.14 inference(resolution,[status(thm)],[f2809,f186])).
% 5.35/1.14 fof(f4554,plain,(
% 5.35/1.14 ![X0,X1,X2]: (~cyclic(X0,X1,X2,X2)|para(X2,X1,X2,X1))),
% 5.35/1.14 inference(resolution,[status(thm)],[f2816,f186])).
% 5.35/1.14 fof(f4562,plain,(
% 5.35/1.14 ![X0,X1,X2]: (para(X0,X0,X0,X0)|~midp(X1,X2,X0)|~midp(X1,X2,X0))),
% 5.35/1.14 inference(resolution,[status(thm)],[f4554,f2660])).
% 5.35/1.14 fof(f4563,plain,(
% 5.35/1.14 ![X0,X1,X2]: (para(X0,X0,X0,X0)|~midp(X1,X2,X0))),
% 5.35/1.14 inference(duplicate_literals_removal,[status(esa)],[f4562])).
% 5.35/1.14 fof(f4838,plain,(
% 5.35/1.14 ![X0,X1]: (para(X0,X1,X1,X0)|~spl0_175)),
% 5.35/1.14 inference(resolution,[status(thm)],[f4456,f4474])).
% 5.35/1.14 fof(f4840,plain,(
% 5.35/1.14 ![X0,X1]: (coll(X0,X1,X1)|~spl0_175)),
% 5.35/1.14 inference(resolution,[status(thm)],[f4456,f256])).
% 5.35/1.14 fof(f5025,plain,(
% 5.35/1.14 ![X0,X1]: (coll(X0,X1,X0)|~spl0_175)),
% 5.35/1.14 inference(resolution,[status(thm)],[f4840,f100])).
% 5.35/1.14 fof(f5210,plain,(
% 5.35/1.14 ![X0,X1]: (coll(X0,X0,X1)|~spl0_175)),
% 5.35/1.14 inference(resolution,[status(thm)],[f5025,f98])).
% 5.35/1.14 fof(f5243,plain,(
% 5.35/1.14 ![X0,X1,X2]: (~coll(X0,X0,X1)|coll(X1,X2,X0)|~spl0_175)),
% 5.35/1.14 inference(resolution,[status(thm)],[f5210,f103])).
% 5.35/1.14 fof(f5244,plain,(
% 5.35/1.14 ![X0,X1,X2]: (coll(X0,X1,X2)|~spl0_175)),
% 5.35/1.14 inference(forward_subsumption_resolution,[status(thm)],[f5243,f5210])).
% 5.35/1.14 fof(f5260,plain,(
% 5.35/1.14 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X0,X3,X2,X4)|midp(X3,X1,X4)|~spl0_175)),
% 5.35/1.14 inference(backward_subsumption_resolution,[status(thm)],[f204,f5244])).
% 5.35/1.14 fof(f5261,plain,(
% 5.35/1.14 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|cyclic(X1,X2,X0,X3)|~spl0_175)),
% 5.35/1.14 inference(backward_subsumption_resolution,[status(thm)],[f195,f5244])).
% 5.35/1.14 fof(f5262,plain,(
% 5.35/1.14 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|midp(X0,X1,X2)|~spl0_175)),
% 5.35/1.14 inference(backward_subsumption_resolution,[status(thm)],[f258,f5244])).
% 5.35/1.14 fof(f5296,plain,(
% 5.35/1.14 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X2,X1,X0)|~spl0_175)),
% 5.35/1.14 inference(resolution,[status(thm)],[f5260,f4838])).
% 5.35/1.14 fof(f5317,plain,(
% 5.35/1.14 ![X0,X1,X2]: (cyclic(X0,X0,X1,X2)|~para(X1,X0,X1,X0)|~spl0_175)),
% 5.35/1.14 inference(resolution,[status(thm)],[f5261,f2806])).
% 5.35/1.14 fof(f5318,plain,(
% 5.35/1.14 ![X0,X1,X2]: (cyclic(X0,X0,X1,X2)|~spl0_175)),
% 5.35/1.14 inference(forward_subsumption_resolution,[status(thm)],[f5317,f4456])).
% 5.35/1.14 fof(f5458,plain,(
% 5.35/1.14 ![X0,X1,X2]: (~midp(X0,X1,X2)|~spl0_174)),
% 5.35/1.14 inference(backward_subsumption_resolution,[status(thm)],[f4563,f4453])).
% 5.35/1.14 fof(f5631,plain,(
% 5.35/1.14 ![X0,X1,X2,X3]: (~cyclic(X0,X0,X1,X2)|cyclic(X0,X1,X2,X3)|~spl0_175)),
% 5.35/1.14 inference(resolution,[status(thm)],[f5318,f136])).
% 5.35/1.14 fof(f5632,plain,(
% 5.35/1.14 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3)|~spl0_175)),
% 5.35/1.14 inference(forward_subsumption_resolution,[status(thm)],[f5631,f5318])).
% 5.35/1.14 fof(f5641,plain,(
% 5.35/1.14 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~spl0_175)),
% 5.35/1.14 inference(backward_subsumption_resolution,[status(thm)],[f2816,f5632])).
% 5.35/1.14 fof(f5645,plain,(
% 5.35/1.14 ![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_175)),
% 5.35/1.14 inference(backward_subsumption_resolution,[status(thm)],[f198,f5632])).
% 5.35/1.14 fof(f5646,plain,(
% 5.35/1.14 ![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_175)),
% 5.35/1.14 inference(forward_subsumption_resolution,[status(thm)],[f5645,f5632])).
% 5.35/1.14 fof(f5648,plain,(
% 5.35/1.14 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X1,X0,X0,X3)|~spl0_175)),
% 5.35/1.14 inference(backward_subsumption_resolution,[status(thm)],[f235,f5632])).
% 5.35/1.14 fof(f5686,plain,(
% 5.35/1.14 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X0,X2,X3,X4,X3,X5)|cong(X1,X2,X4,X5)|~spl0_175)),
% 5.35/1.14 inference(forward_subsumption_resolution,[status(thm)],[f5646,f5632])).
% 5.35/1.14 fof(f5771,plain,(
% 5.35/1.14 ![X0,X1]: (cong(X0,X1,X0,X1)|~spl0_175)),
% 5.35/1.14 inference(resolution,[status(thm)],[f5641,f5686])).
% 5.35/1.14 fof(f5783,plain,(
% 5.35/1.14 ![X0,X1]: (midp(X0,X1,X1)|~spl0_175)),
% 5.35/1.14 inference(resolution,[status(thm)],[f5771,f5262])).
% 5.35/1.14 fof(f5785,plain,(
% 5.35/1.14 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X0,X0,X1,X2)|~spl0_175)),
% 5.35/1.14 inference(resolution,[status(thm)],[f5771,f232])).
% 5.35/1.14 fof(f5786,plain,(
% 5.35/1.14 ![X0,X1,X2]: (perp(X0,X0,X1,X2)|~spl0_175)),
% 5.35/1.14 inference(forward_subsumption_resolution,[status(thm)],[f5785,f5771])).
% 5.35/1.14 fof(f5799,plain,(
% 5.35/1.14 ![X0,X1]: (midp(X0,X0,X1)|~spl0_175)),
% 5.35/1.14 inference(resolution,[status(thm)],[f5783,f5296])).
% 5.35/1.14 fof(f5806,plain,(
% 5.35/1.14 $false|~spl0_174),
% 5.35/1.14 inference(backward_subsumption_resolution,[status(thm)],[f377,f5458])).
% 5.35/1.14 fof(f5807,plain,(
% 5.35/1.14 ~spl0_174),
% 5.35/1.14 inference(contradiction_clause,[status(thm)],[f5806])).
% 5.35/1.14 fof(f5899,plain,(
% 5.35/1.14 ![X0,X1,X2]: (perp(X0,X1,X2,X2)|~spl0_175)),
% 5.35/1.14 inference(resolution,[status(thm)],[f5786,f114])).
% 5.35/1.14 fof(f5902,plain,(
% 5.35/1.14 ![X0,X1,X2]: (~midp(X0,X1,X1)|cong(X2,X1,X2,X1)|~spl0_175)),
% 5.35/1.14 inference(resolution,[status(thm)],[f5899,f230])).
% 5.35/1.14 fof(f5903,plain,(
% 5.35/1.14 ![X0,X1]: (cong(X0,X1,X0,X1)|~spl0_175)),
% 5.35/1.14 inference(forward_subsumption_resolution,[status(thm)],[f5902,f5783])).
% 5.35/1.14 fof(f5932,plain,(
% 5.35/1.14 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X1,X0,X0,X2)|~spl0_175)),
% 5.35/1.14 inference(resolution,[status(thm)],[f5648,f5903])).
% 5.35/1.14 fof(f5933,plain,(
% 5.35/1.14 ![X0,X1,X2]: (perp(X0,X1,X1,X2)|~spl0_175)),
% 5.35/1.14 inference(forward_subsumption_resolution,[status(thm)],[f5932,f5903])).
% 5.35/1.14 fof(f5978,plain,(
% 5.35/1.14 ![X0,X1,X2,X3]: (~midp(X0,X1,X2)|cong(X1,X0,X3,X0)|~spl0_175)),
% 5.35/1.14 inference(backward_subsumption_resolution,[status(thm)],[f222,f5933])).
% 5.35/1.14 fof(f5979,plain,(
% 5.35/1.14 ![X0,X1,X2]: (~midp(X0,X0,X1)|cong(X2,X0,X2,X1)|~spl0_175)),
% 5.35/1.14 inference(resolution,[status(thm)],[f5933,f230])).
% 5.35/1.14 fof(f5980,plain,(
% 5.35/1.14 ![X0,X1,X2]: (cong(X0,X1,X0,X2)|~spl0_175)),
% 5.96/1.15 inference(forward_subsumption_resolution,[status(thm)],[f5979,f5799])).
% 5.96/1.15 fof(f5988,plain,(
% 5.96/1.15 ![X0,X1,X2]: (midp(X0,X1,X2)|~spl0_175)),
% 5.96/1.15 inference(backward_subsumption_resolution,[status(thm)],[f5262,f5980])).
% 5.96/1.15 fof(f6072,plain,(
% 5.96/1.15 ![X0,X1,X2]: (cong(X0,X1,X2,X1)|~spl0_175)),
% 5.96/1.15 inference(forward_subsumption_resolution,[status(thm)],[f5978,f5988])).
% 5.96/1.15 fof(f6073,plain,(
% 5.96/1.15 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|perp(X0,X2,X3,X1)|~spl0_175)),
% 5.96/1.15 inference(backward_subsumption_resolution,[status(thm)],[f232,f6072])).
% 5.96/1.15 fof(f6074,plain,(
% 5.96/1.15 ![X0,X1,X2,X3]: (perp(X0,X1,X2,X3)|~spl0_175)),
% 5.96/1.15 inference(forward_subsumption_resolution,[status(thm)],[f6073,f6072])).
% 5.96/1.15 fof(f6091,plain,(
% 5.96/1.15 $false|~spl0_175),
% 5.96/1.15 inference(backward_subsumption_resolution,[status(thm)],[f376,f6074])).
% 5.96/1.15 fof(f6092,plain,(
% 5.96/1.15 ~spl0_175),
% 5.96/1.15 inference(contradiction_clause,[status(thm)],[f6091])).
% 5.96/1.15 fof(f6093,plain,(
% 5.96/1.15 $false),
% 5.96/1.15 inference(sat_refutation,[status(thm)],[f4459,f5807,f6092])).
% 5.96/1.15 % SZS output end CNFRefutation for theBenchmark.p
% 5.96/1.18 % Elapsed time: 0.859898 seconds
% 5.96/1.18 % CPU time: 6.126979 seconds
% 5.96/1.18 % Memory used: 101.920 MB
%------------------------------------------------------------------------------