TSTP Solution File: GEO660+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO660+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n025.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 12:09:26 EDT 2023
% Result : Theorem 0.12s 0.39s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO660+1 : TPTP v8.1.2. Released v7.5.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue May 30 12:11:12 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % Drodi V3.5.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.39 fof(f1,axiom,(
% 0.12/0.39 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f2,axiom,(
% 0.12/0.39 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f3,axiom,(
% 0.12/0.39 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f5,axiom,(
% 0.12/0.39 (! [A,B,C,D] :( para(A,B,C,D)=> para(C,D,A,B) ) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f8,axiom,(
% 0.12/0.39 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f9,axiom,(
% 0.12/0.39 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f17,axiom,(
% 0.12/0.39 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f19,axiom,(
% 0.12/0.39 (! [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) ) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f21,axiom,(
% 0.12/0.39 (! [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) ) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f24,axiom,(
% 0.12/0.39 (! [A,B,C,D] :( cong(A,B,C,D)=> cong(C,D,A,B) ) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f39,axiom,(
% 0.12/0.39 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f40,axiom,(
% 0.12/0.39 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f41,axiom,(
% 0.12/0.39 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f43,axiom,(
% 0.12/0.39 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f44,axiom,(
% 0.12/0.39 (! [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) ) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f45,axiom,(
% 0.12/0.39 (! [A,B,C,E,F] :( ( midp(E,A,B)& midp(F,A,C) )=> para(E,F,B,C) ) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f46,axiom,(
% 0.12/0.39 (! [A,B,C,E,F] :( ( midp(E,A,B)& para(E,F,B,C)& coll(F,A,C) )=> midp(F,A,C) ) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f47,axiom,(
% 0.12/0.39 (! [A,B,O] :( cong(O,A,O,B)=> eqangle(O,A,A,B,A,B,O,B) ) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f67,axiom,(
% 0.12/0.39 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f68,axiom,(
% 0.12/0.39 (! [A,B,C] :( ( cong(A,B,A,C)& coll(A,B,C) )=> midp(A,B,C) ) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f69,axiom,(
% 0.12/0.39 (! [A,B,C] :( midp(A,B,C)=> cong(A,B,A,C) ) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f95,conjecture,(
% 0.12/0.39 (! [A,B,C,D,E,F,G] :( ( perp(C,A,C,B)& perp(D,C,A,B)& coll(D,A,B)& coll(E,C,D)& coll(F,A,B)& eqangle(B,A,A,E,E,A,A,C)& eqangle(D,C,C,F,F,C,C,B)& coll(G,B,C)& coll(G,A,E) )=> para(E,F,C,B) ) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f96,negated_conjecture,(
% 0.12/0.39 ~((! [A,B,C,D,E,F,G] :( ( perp(C,A,C,B)& perp(D,C,A,B)& coll(D,A,B)& coll(E,C,D)& coll(F,A,B)& eqangle(B,A,A,E,E,A,A,C)& eqangle(D,C,C,F,F,C,C,B)& coll(G,B,C)& coll(G,A,E) )=> para(E,F,C,B) ) ))),
% 0.12/0.39 inference(negated_conjecture,[status(cth)],[f95])).
% 0.12/0.39 fof(f97,plain,(
% 0.12/0.39 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.12/0.39 fof(f98,plain,(
% 0.12/0.39 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f97])).
% 0.12/0.39 fof(f99,plain,(
% 0.12/0.39 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.12/0.39 fof(f100,plain,(
% 0.12/0.39 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f99])).
% 0.12/0.39 fof(f101,plain,(
% 0.12/0.39 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.12/0.39 fof(f102,plain,(
% 0.12/0.39 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 0.12/0.39 inference(miniscoping,[status(esa)],[f101])).
% 0.12/0.39 fof(f103,plain,(
% 0.12/0.39 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f102])).
% 0.12/0.39 fof(f106,plain,(
% 0.12/0.39 ![A,B,C,D]: (~para(A,B,C,D)|para(C,D,A,B))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.12/0.39 fof(f107,plain,(
% 0.12/0.39 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X2,X3,X0,X1))),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f106])).
% 0.12/0.39 fof(f113,plain,(
% 0.12/0.39 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 0.12/0.39 fof(f114,plain,(
% 0.12/0.39 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f113])).
% 0.12/0.39 fof(f115,plain,(
% 0.12/0.39 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 0.12/0.39 fof(f116,plain,(
% 0.12/0.39 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 0.12/0.39 inference(miniscoping,[status(esa)],[f115])).
% 0.12/0.39 fof(f117,plain,(
% 0.12/0.39 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f116])).
% 0.12/0.39 fof(f134,plain,(
% 0.12/0.39 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 0.12/0.39 fof(f135,plain,(
% 0.12/0.39 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 0.12/0.39 inference(miniscoping,[status(esa)],[f134])).
% 0.12/0.39 fof(f136,plain,(
% 0.12/0.39 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f135])).
% 0.12/0.39 fof(f139,plain,(
% 0.12/0.39 ![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))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 0.12/0.39 fof(f140,plain,(
% 0.12/0.39 ![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))),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f139])).
% 0.12/0.39 fof(f143,plain,(
% 0.12/0.39 ![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))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 0.12/0.39 fof(f144,plain,(
% 0.12/0.39 ![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))),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f143])).
% 0.12/0.39 fof(f150,plain,(
% 0.12/0.39 ![A,B,C,D]: (~cong(A,B,C,D)|cong(C,D,A,B))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 0.12/0.39 fof(f151,plain,(
% 0.12/0.39 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X3)|cong(X2,X3,X0,X1))),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f150])).
% 0.12/0.39 fof(f184,plain,(
% 0.12/0.39 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(esa)],[f39])).
% 0.12/0.39 fof(f185,plain,(
% 0.12/0.39 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 0.12/0.39 inference(miniscoping,[status(esa)],[f184])).
% 0.12/0.39 fof(f186,plain,(
% 0.12/0.39 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f185])).
% 0.12/0.39 fof(f187,plain,(
% 0.12/0.39 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 0.12/0.39 fof(f188,plain,(
% 0.12/0.39 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 0.12/0.39 inference(miniscoping,[status(esa)],[f187])).
% 0.12/0.39 fof(f189,plain,(
% 0.12/0.39 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f188])).
% 0.12/0.39 fof(f190,plain,(
% 0.12/0.39 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 0.12/0.39 fof(f191,plain,(
% 0.12/0.39 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f190])).
% 0.12/0.39 fof(f194,plain,(
% 0.12/0.39 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 0.12/0.39 fof(f195,plain,(
% 0.12/0.39 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f194])).
% 0.12/0.39 fof(f196,plain,(
% 0.12/0.39 ![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))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(esa)],[f44])).
% 0.12/0.39 fof(f197,plain,(
% 0.12/0.39 ![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))),
% 0.12/0.39 inference(miniscoping,[status(esa)],[f196])).
% 0.12/0.39 fof(f198,plain,(
% 0.12/0.39 ![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))),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f197])).
% 0.12/0.39 fof(f199,plain,(
% 0.12/0.39 ![A,B,C,E,F]: ((~midp(E,A,B)|~midp(F,A,C))|para(E,F,B,C))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(esa)],[f45])).
% 0.12/0.39 fof(f200,plain,(
% 0.12/0.39 ![B,C,E,F]: ((![A]: (~midp(E,A,B)|~midp(F,A,C)))|para(E,F,B,C))),
% 0.12/0.39 inference(miniscoping,[status(esa)],[f199])).
% 0.12/0.39 fof(f201,plain,(
% 0.12/0.39 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~midp(X3,X1,X4)|para(X0,X3,X2,X4))),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f200])).
% 0.12/0.39 fof(f202,plain,(
% 0.12/0.39 ![A,B,C,E,F]: (((~midp(E,A,B)|~para(E,F,B,C))|~coll(F,A,C))|midp(F,A,C))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(esa)],[f46])).
% 0.12/0.39 fof(f203,plain,(
% 0.12/0.39 ![A,C,F]: (((![B,E]: (~midp(E,A,B)|~para(E,F,B,C)))|~coll(F,A,C))|midp(F,A,C))),
% 0.12/0.39 inference(miniscoping,[status(esa)],[f202])).
% 0.12/0.39 fof(f204,plain,(
% 0.12/0.39 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X0,X3,X2,X4)|~coll(X3,X1,X4)|midp(X3,X1,X4))),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f203])).
% 0.12/0.39 fof(f205,plain,(
% 0.12/0.39 ![A,B,O]: (~cong(O,A,O,B)|eqangle(O,A,A,B,A,B,O,B))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(esa)],[f47])).
% 0.12/0.39 fof(f206,plain,(
% 0.12/0.39 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|eqangle(X0,X1,X1,X2,X1,X2,X0,X2))),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f205])).
% 0.12/0.39 fof(f255,plain,(
% 0.12/0.39 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(esa)],[f67])).
% 0.12/0.39 fof(f256,plain,(
% 0.12/0.39 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f255])).
% 0.12/0.39 fof(f257,plain,(
% 0.12/0.39 ![A,B,C]: ((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(esa)],[f68])).
% 0.12/0.39 fof(f258,plain,(
% 0.12/0.39 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|~coll(X0,X1,X2)|midp(X0,X1,X2))),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f257])).
% 0.12/0.39 fof(f259,plain,(
% 0.12/0.39 ![A,B,C]: (~midp(A,B,C)|cong(A,B,A,C))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(esa)],[f69])).
% 0.12/0.39 fof(f260,plain,(
% 0.12/0.39 ![X0,X1,X2]: (~midp(X0,X1,X2)|cong(X0,X1,X0,X2))),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f259])).
% 0.12/0.39 fof(f369,plain,(
% 0.12/0.39 (?[A,B,C,D,E,F,G]: (((((((((perp(C,A,C,B)&perp(D,C,A,B))&coll(D,A,B))&coll(E,C,D))&coll(F,A,B))&eqangle(B,A,A,E,E,A,A,C))&eqangle(D,C,C,F,F,C,C,B))&coll(G,B,C))&coll(G,A,E))&~para(E,F,C,B)))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(esa)],[f96])).
% 0.12/0.39 fof(f370,plain,(
% 0.12/0.39 ?[B,C,E,F]: ((?[A,G]: (((?[D]: ((((((perp(C,A,C,B)&perp(D,C,A,B))&coll(D,A,B))&coll(E,C,D))&coll(F,A,B))&eqangle(B,A,A,E,E,A,A,C))&eqangle(D,C,C,F,F,C,C,B)))&coll(G,B,C))&coll(G,A,E)))&~para(E,F,C,B))),
% 0.12/0.39 inference(miniscoping,[status(esa)],[f369])).
% 0.12/0.39 fof(f371,plain,(
% 0.12/0.39 (((((((((perp(sk0_21,sk0_24,sk0_21,sk0_20)&perp(sk0_26,sk0_21,sk0_24,sk0_20))&coll(sk0_26,sk0_24,sk0_20))&coll(sk0_22,sk0_21,sk0_26))&coll(sk0_23,sk0_24,sk0_20))&eqangle(sk0_20,sk0_24,sk0_24,sk0_22,sk0_22,sk0_24,sk0_24,sk0_21))&eqangle(sk0_26,sk0_21,sk0_21,sk0_23,sk0_23,sk0_21,sk0_21,sk0_20))&coll(sk0_25,sk0_20,sk0_21))&coll(sk0_25,sk0_24,sk0_22))&~para(sk0_22,sk0_23,sk0_21,sk0_20))),
% 0.12/0.39 inference(skolemization,[status(esa)],[f370])).
% 0.12/0.39 fof(f373,plain,(
% 0.12/0.39 perp(sk0_26,sk0_21,sk0_24,sk0_20)),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f371])).
% 0.12/0.39 fof(f381,plain,(
% 0.12/0.39 ~para(sk0_22,sk0_23,sk0_21,sk0_20)),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f371])).
% 0.12/0.39 fof(f582,plain,(
% 0.12/0.39 perp(sk0_24,sk0_20,sk0_26,sk0_21)),
% 0.12/0.39 inference(resolution,[status(thm)],[f114,f373])).
% 0.12/0.39 fof(f601,plain,(
% 0.12/0.39 ![X0,X1]: (~perp(X0,X1,sk0_24,sk0_20)|para(X0,X1,sk0_26,sk0_21))),
% 0.12/0.39 inference(resolution,[status(thm)],[f582,f117])).
% 0.12/0.39 fof(f782,plain,(
% 0.12/0.39 ![X0,X1,X2]: (cong(X0,X1,X0,X2)|~midp(X0,X2,X1))),
% 0.12/0.39 inference(resolution,[status(thm)],[f151,f260])).
% 0.12/0.39 fof(f1191,plain,(
% 0.12/0.39 para(sk0_26,sk0_21,sk0_26,sk0_21)),
% 0.12/0.39 inference(resolution,[status(thm)],[f601,f373])).
% 0.12/0.39 fof(f1248,plain,(
% 0.12/0.39 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X2,X3,X4,X5,X4,X5))),
% 0.12/0.39 inference(resolution,[status(thm)],[f189,f144])).
% 0.12/0.39 fof(f1250,plain,(
% 0.12/0.39 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X4,X5,X0,X1,X4,X5,X2,X3))),
% 0.12/0.39 inference(resolution,[status(thm)],[f189,f140])).
% 0.12/0.39 fof(f1252,plain,(
% 0.12/0.39 ![X0]: (~midp(sk0_22,X0,sk0_21)|~midp(sk0_23,X0,sk0_20))),
% 0.12/0.39 inference(resolution,[status(thm)],[f201,f381])).
% 0.12/0.39 fof(f1449,plain,(
% 0.12/0.39 ![X0,X1]: (~cong(X0,X0,X0,X1)|para(X0,X0,X0,X1))),
% 0.12/0.39 inference(resolution,[status(thm)],[f206,f186])).
% 0.12/0.39 fof(f1832,plain,(
% 0.12/0.39 ![X0,X1]: (para(X0,X0,X0,X1)|~midp(X0,X1,X0))),
% 0.12/0.39 inference(resolution,[status(thm)],[f1449,f782])).
% 0.12/0.39 fof(f2070,plain,(
% 0.12/0.39 ![X0,X1]: (~midp(X0,X1,X0)|para(X0,X1,X0,X0))),
% 0.12/0.39 inference(resolution,[status(thm)],[f1832,f107])).
% 0.12/0.39 fof(f3103,plain,(
% 0.12/0.39 spl0_107 <=> ~para(X4,X5,X4,X5)),
% 0.12/0.39 introduced(split_symbol_definition)).
% 0.12/0.39 fof(f3104,plain,(
% 0.12/0.39 ![X0,X1]: (~para(X0,X1,X0,X1)|~spl0_107)),
% 0.12/0.39 inference(component_clause,[status(thm)],[f3103])).
% 0.12/0.39 fof(f3467,plain,(
% 0.12/0.39 spl0_118 <=> para(X2,X3,X2,X3)),
% 0.12/0.39 introduced(split_symbol_definition)).
% 0.12/0.39 fof(f3468,plain,(
% 0.12/0.39 ![X0,X1]: (para(X0,X1,X0,X1)|~spl0_118)),
% 0.12/0.39 inference(component_clause,[status(thm)],[f3467])).
% 0.12/0.39 fof(f3470,plain,(
% 0.12/0.39 ![X0,X1,X2,X3]: (~para(X0,X1,X0,X1)|para(X2,X3,X2,X3))),
% 0.12/0.39 inference(resolution,[status(thm)],[f1250,f186])).
% 0.12/0.39 fof(f3471,plain,(
% 0.12/0.39 spl0_107|spl0_118),
% 0.12/0.39 inference(split_clause,[status(thm)],[f3470,f3103,f3467])).
% 0.12/0.39 fof(f3790,plain,(
% 0.12/0.39 $false|~spl0_107),
% 0.12/0.39 inference(backward_subsumption_resolution,[status(thm)],[f1191,f3104])).
% 0.12/0.39 fof(f3791,plain,(
% 0.12/0.39 ~spl0_107),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f3790])).
% 0.12/0.39 fof(f3803,plain,(
% 0.12/0.39 ![X0,X1]: (coll(X0,X1,X1)|~spl0_118)),
% 0.12/0.39 inference(resolution,[status(thm)],[f3468,f256])).
% 0.12/0.39 fof(f3889,plain,(
% 0.12/0.39 ![X0,X1]: (coll(X0,X1,X0)|~spl0_118)),
% 0.12/0.39 inference(resolution,[status(thm)],[f3803,f100])).
% 0.12/0.39 fof(f3975,plain,(
% 0.12/0.39 ![X0,X1]: (coll(X0,X0,X1)|~spl0_118)),
% 0.12/0.39 inference(resolution,[status(thm)],[f3889,f98])).
% 0.12/0.39 fof(f3999,plain,(
% 0.12/0.39 ![X0,X1,X2]: (~coll(X0,X0,X1)|coll(X1,X2,X0)|~spl0_118)),
% 0.12/0.39 inference(resolution,[status(thm)],[f3975,f103])).
% 0.12/0.39 fof(f4000,plain,(
% 0.12/0.39 ![X0,X1,X2]: (coll(X0,X1,X2)|~spl0_118)),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f3999,f3975])).
% 0.12/0.39 fof(f4005,plain,(
% 0.12/0.39 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|cyclic(X1,X2,X0,X3)|~spl0_118)),
% 0.12/0.39 inference(backward_subsumption_resolution,[status(thm)],[f195,f4000])).
% 0.12/0.39 fof(f4006,plain,(
% 0.12/0.39 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X0,X3,X2,X4)|midp(X3,X1,X4)|~spl0_118)),
% 0.12/0.39 inference(backward_subsumption_resolution,[status(thm)],[f204,f4000])).
% 0.12/0.39 fof(f4046,plain,(
% 0.12/0.39 ![X0,X1,X2]: (cyclic(X0,X0,X1,X2)|~para(X1,X0,X1,X0)|~spl0_118)),
% 0.12/0.39 inference(resolution,[status(thm)],[f4005,f1248])).
% 0.12/0.39 fof(f4047,plain,(
% 0.12/0.39 ![X0,X1,X2]: (cyclic(X0,X0,X1,X2)|~spl0_118)),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f4046,f3468])).
% 0.12/0.39 fof(f4061,plain,(
% 0.12/0.39 ![X0,X1,X2]: (~midp(X0,X1,X0)|midp(X2,X1,X2)|~spl0_118)),
% 0.12/0.39 inference(resolution,[status(thm)],[f4006,f3468])).
% 0.12/0.39 fof(f4161,plain,(
% 0.12/0.39 ![X0,X1,X2,X3]: (~cyclic(X0,X0,X1,X2)|cyclic(X0,X1,X2,X3)|~spl0_118)),
% 0.12/0.39 inference(resolution,[status(thm)],[f4047,f136])).
% 0.12/0.39 fof(f4162,plain,(
% 0.12/0.39 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3)|~spl0_118)),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f4161,f4047])).
% 0.12/0.39 fof(f4174,plain,(
% 0.12/0.39 ![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_118)),
% 0.12/0.39 inference(backward_subsumption_resolution,[status(thm)],[f198,f4162])).
% 0.12/0.39 fof(f4175,plain,(
% 0.12/0.39 ![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_118)),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f4174,f4162])).
% 0.12/0.39 fof(f4176,plain,(
% 0.12/0.39 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~spl0_118)),
% 0.12/0.40 inference(backward_subsumption_resolution,[status(thm)],[f191,f4162])).
% 0.12/0.40 fof(f4191,plain,(
% 0.12/0.40 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X0,X2,X3,X4,X3,X5)|cong(X1,X2,X4,X5)|~spl0_118)),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f4175,f4162])).
% 0.12/0.40 fof(f4205,plain,(
% 0.12/0.40 ![X0,X1]: (cong(X0,X1,X0,X1)|~spl0_118)),
% 0.12/0.40 inference(resolution,[status(thm)],[f4176,f4191])).
% 0.12/0.40 fof(f4254,plain,(
% 0.12/0.40 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|midp(X0,X1,X2)|~spl0_118)),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f258,f4000])).
% 0.12/0.40 fof(f4262,plain,(
% 0.12/0.40 ![X0,X1]: (midp(X0,X1,X1)|~spl0_118)),
% 0.12/0.40 inference(resolution,[status(thm)],[f4205,f4254])).
% 0.12/0.40 fof(f4288,plain,(
% 0.12/0.40 ![X0,X1]: (midp(X0,X1,X0)|~spl0_118)),
% 0.12/0.40 inference(resolution,[status(thm)],[f4262,f4061])).
% 0.12/0.40 fof(f4317,plain,(
% 0.12/0.40 ![X0,X1]: (para(X0,X1,X0,X0)|~spl0_118)),
% 0.12/0.40 inference(backward_subsumption_resolution,[status(thm)],[f2070,f4288])).
% 0.12/0.40 fof(f4444,plain,(
% 0.12/0.40 ![X0,X1,X2]: (~midp(X0,X1,X0)|midp(X2,X1,X0)|~spl0_118)),
% 0.12/0.40 inference(resolution,[status(thm)],[f4317,f4006])).
% 0.12/0.40 fof(f4445,plain,(
% 0.12/0.40 ![X0,X1,X2]: (midp(X0,X1,X2)|~spl0_118)),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f4444,f4288])).
% 0.12/0.40 fof(f4451,plain,(
% 0.12/0.40 ![X0]: (~midp(sk0_23,X0,sk0_20)|~spl0_118)),
% 0.12/0.40 inference(backward_subsumption_resolution,[status(thm)],[f1252,f4445])).
% 0.12/0.40 fof(f4452,plain,(
% 0.12/0.40 $false|~spl0_118),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f4451,f4445])).
% 0.12/0.40 fof(f4453,plain,(
% 0.12/0.40 ~spl0_118),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f4452])).
% 0.12/0.40 fof(f4454,plain,(
% 0.12/0.40 $false),
% 0.12/0.40 inference(sat_refutation,[status(thm)],[f3471,f3791,f4453])).
% 0.12/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.41 % Elapsed time: 0.072996 seconds
% 0.12/0.41 % CPU time: 0.399513 seconds
% 0.12/0.41 % Memory used: 30.010 MB
%------------------------------------------------------------------------------