TSTP Solution File: GEO556+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO556+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:09:09 EDT 2023
% Result : Theorem 6.97s 1.26s
% Output : CNFRefutation 6.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : GEO556+1 : TPTP v8.1.2. Released v7.5.0.
% 0.02/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.31 % Computer : n026.cluster.edu
% 0.08/0.31 % Model : x86_64 x86_64
% 0.08/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.31 % Memory : 8042.1875MB
% 0.08/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.31 % CPULimit : 300
% 0.08/0.31 % WCLimit : 300
% 0.08/0.31 % DateTime : Tue May 30 12:18:13 EDT 2023
% 0.08/0.31 % CPUTime :
% 0.13/0.32 % Drodi V3.5.1
% 6.97/1.26 % Refutation found
% 6.97/1.26 % SZS status Theorem for theBenchmark: Theorem is valid
% 6.97/1.26 % SZS output start CNFRefutation for theBenchmark
% 6.97/1.26 fof(f1,axiom,(
% 6.97/1.26 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 6.97/1.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.97/1.26 fof(f2,axiom,(
% 6.97/1.26 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 6.97/1.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.97/1.26 fof(f3,axiom,(
% 6.97/1.26 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 6.97/1.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.97/1.26 fof(f5,axiom,(
% 6.97/1.26 (! [A,B,C,D] :( para(A,B,C,D)=> para(C,D,A,B) ) )),
% 6.97/1.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.97/1.26 fof(f8,axiom,(
% 6.97/1.26 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 6.97/1.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.97/1.26 fof(f9,axiom,(
% 6.97/1.26 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 6.97/1.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.97/1.26 fof(f17,axiom,(
% 6.97/1.26 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 6.97/1.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.97/1.26 fof(f19,axiom,(
% 6.97/1.26 (! [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) ) )),
% 6.97/1.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.97/1.26 fof(f21,axiom,(
% 6.97/1.26 (! [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) ) )),
% 6.97/1.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.97/1.26 fof(f23,axiom,(
% 6.97/1.26 (! [A,B,C,D] :( cong(A,B,C,D)=> cong(A,B,D,C) ) )),
% 6.97/1.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.97/1.26 fof(f24,axiom,(
% 6.97/1.26 (! [A,B,C,D] :( cong(A,B,C,D)=> cong(C,D,A,B) ) )),
% 6.97/1.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.97/1.26 fof(f39,axiom,(
% 6.97/1.26 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 6.97/1.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.97/1.26 fof(f40,axiom,(
% 6.97/1.26 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 6.97/1.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.97/1.26 fof(f41,axiom,(
% 6.97/1.26 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 6.97/1.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.97/1.26 fof(f43,axiom,(
% 6.97/1.26 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 6.97/1.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.97/1.26 fof(f44,axiom,(
% 6.97/1.26 (! [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) ) )),
% 6.97/1.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.97/1.26 fof(f46,axiom,(
% 6.97/1.26 (! [A,B,C,E,F] :( ( midp(E,A,B)& para(E,F,B,C)& coll(F,A,C) )=> midp(F,A,C) ) )),
% 6.97/1.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.97/1.26 fof(f47,axiom,(
% 6.97/1.26 (! [A,B,O] :( cong(O,A,O,B)=> eqangle(O,A,A,B,A,B,O,B) ) )),
% 6.97/1.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.97/1.26 fof(f52,axiom,(
% 6.97/1.26 (! [A,B,C,O,M] :( ( circle(O,A,B,C)& coll(M,B,C)& eqangle(A,B,A,C,O,B,O,M) )=> midp(M,B,C) ) )),
% 6.97/1.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.97/1.26 fof(f53,axiom,(
% 6.97/1.26 (! [A,B,C,M] :( ( perp(A,B,B,C)& midp(M,A,C) )=> cong(A,M,B,M) ) )),
% 6.97/1.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.97/1.26 fof(f57,axiom,(
% 6.97/1.26 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 6.97/1.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.97/1.26 fof(f58,axiom,(
% 6.97/1.26 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q)& cyclic(A,B,P,Q) )=> perp(P,A,A,Q) ) )),
% 6.97/1.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.97/1.26 fof(f67,axiom,(
% 6.97/1.26 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 6.97/1.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.97/1.26 fof(f69,axiom,(
% 6.97/1.26 (! [A,B,C] :( midp(A,B,C)=> cong(A,B,A,C) ) )),
% 6.97/1.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.97/1.26 fof(f90,axiom,(
% 6.97/1.26 (! [A,B,C,D] :(? [O] :( ( perp(A,C,C,B)& cyclic(A,B,C,D) )=> circle(O,A,B,C) ) ))),
% 6.97/1.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.97/1.26 fof(f95,conjecture,(
% 6.97/1.26 (! [A,B,O,M,P,Q,D,C,T,K,S] :( ( coll(M,A,B)& perp(P,M,A,O)& coll(P,A,O)& perp(Q,M,B,O)& coll(Q,B,O)& perp(D,B,A,O)& coll(D,A,O)& perp(C,A,B,O)& coll(C,B,O)& perp(T,Q,A,O)& coll(T,A,O)& perp(K,P,B,O)& coll(K,B,O)& coll(S,Q,T)& coll(S,P,K) )=> perp(O,S,P,Q) ) )),
% 6.97/1.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.97/1.26 fof(f96,negated_conjecture,(
% 6.97/1.26 ~((! [A,B,O,M,P,Q,D,C,T,K,S] :( ( coll(M,A,B)& perp(P,M,A,O)& coll(P,A,O)& perp(Q,M,B,O)& coll(Q,B,O)& perp(D,B,A,O)& coll(D,A,O)& perp(C,A,B,O)& coll(C,B,O)& perp(T,Q,A,O)& coll(T,A,O)& perp(K,P,B,O)& coll(K,B,O)& coll(S,Q,T)& coll(S,P,K) )=> perp(O,S,P,Q) ) ))),
% 6.97/1.26 inference(negated_conjecture,[status(cth)],[f95])).
% 6.97/1.26 fof(f97,plain,(
% 6.97/1.26 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 6.97/1.26 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 6.97/1.26 fof(f98,plain,(
% 6.97/1.26 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 6.97/1.26 inference(cnf_transformation,[status(esa)],[f97])).
% 6.97/1.26 fof(f99,plain,(
% 6.97/1.26 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 6.97/1.26 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 6.97/1.26 fof(f100,plain,(
% 6.97/1.26 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 6.97/1.26 inference(cnf_transformation,[status(esa)],[f99])).
% 6.97/1.26 fof(f101,plain,(
% 6.97/1.26 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 6.97/1.26 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 6.97/1.26 fof(f102,plain,(
% 6.97/1.26 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 6.97/1.26 inference(miniscoping,[status(esa)],[f101])).
% 6.97/1.26 fof(f103,plain,(
% 6.97/1.26 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 6.97/1.26 inference(cnf_transformation,[status(esa)],[f102])).
% 6.97/1.26 fof(f106,plain,(
% 6.97/1.26 ![A,B,C,D]: (~para(A,B,C,D)|para(C,D,A,B))),
% 6.97/1.26 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 6.97/1.26 fof(f107,plain,(
% 6.97/1.26 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X2,X3,X0,X1))),
% 6.97/1.26 inference(cnf_transformation,[status(esa)],[f106])).
% 6.97/1.26 fof(f113,plain,(
% 6.97/1.26 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 6.97/1.26 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 6.97/1.26 fof(f114,plain,(
% 6.97/1.26 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 6.97/1.26 inference(cnf_transformation,[status(esa)],[f113])).
% 6.97/1.26 fof(f115,plain,(
% 6.97/1.26 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 6.97/1.26 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 6.97/1.26 fof(f116,plain,(
% 6.97/1.26 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 6.97/1.26 inference(miniscoping,[status(esa)],[f115])).
% 6.97/1.26 fof(f117,plain,(
% 6.97/1.26 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 6.97/1.26 inference(cnf_transformation,[status(esa)],[f116])).
% 6.97/1.26 fof(f134,plain,(
% 6.97/1.26 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 6.97/1.26 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 6.97/1.26 fof(f135,plain,(
% 6.97/1.26 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 6.97/1.26 inference(miniscoping,[status(esa)],[f134])).
% 6.97/1.26 fof(f136,plain,(
% 6.97/1.26 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 6.97/1.26 inference(cnf_transformation,[status(esa)],[f135])).
% 6.97/1.26 fof(f139,plain,(
% 6.97/1.26 ![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))),
% 6.97/1.26 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 6.97/1.26 fof(f140,plain,(
% 6.97/1.26 ![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))),
% 6.97/1.26 inference(cnf_transformation,[status(esa)],[f139])).
% 6.97/1.26 fof(f143,plain,(
% 6.97/1.26 ![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))),
% 6.97/1.26 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 6.97/1.26 fof(f144,plain,(
% 6.97/1.26 ![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))),
% 6.97/1.26 inference(cnf_transformation,[status(esa)],[f143])).
% 6.97/1.26 fof(f148,plain,(
% 6.97/1.26 ![A,B,C,D]: (~cong(A,B,C,D)|cong(A,B,D,C))),
% 6.97/1.26 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 6.97/1.26 fof(f149,plain,(
% 6.97/1.26 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X3)|cong(X0,X1,X3,X2))),
% 6.97/1.26 inference(cnf_transformation,[status(esa)],[f148])).
% 6.97/1.26 fof(f150,plain,(
% 6.97/1.26 ![A,B,C,D]: (~cong(A,B,C,D)|cong(C,D,A,B))),
% 6.97/1.26 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 6.97/1.26 fof(f151,plain,(
% 6.97/1.26 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X3)|cong(X2,X3,X0,X1))),
% 6.97/1.26 inference(cnf_transformation,[status(esa)],[f150])).
% 6.97/1.26 fof(f184,plain,(
% 6.97/1.26 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 6.97/1.26 inference(pre_NNF_transformation,[status(esa)],[f39])).
% 6.97/1.26 fof(f185,plain,(
% 6.97/1.26 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 6.97/1.26 inference(miniscoping,[status(esa)],[f184])).
% 6.97/1.26 fof(f186,plain,(
% 6.97/1.26 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 6.97/1.26 inference(cnf_transformation,[status(esa)],[f185])).
% 6.97/1.26 fof(f187,plain,(
% 6.97/1.26 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 6.97/1.26 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 6.97/1.26 fof(f188,plain,(
% 6.97/1.26 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 6.97/1.26 inference(miniscoping,[status(esa)],[f187])).
% 6.97/1.26 fof(f189,plain,(
% 6.97/1.26 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 6.97/1.26 inference(cnf_transformation,[status(esa)],[f188])).
% 6.97/1.26 fof(f190,plain,(
% 6.97/1.26 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 6.97/1.26 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 6.97/1.26 fof(f191,plain,(
% 6.97/1.26 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 6.97/1.26 inference(cnf_transformation,[status(esa)],[f190])).
% 6.97/1.26 fof(f194,plain,(
% 6.97/1.26 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 6.97/1.26 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 6.97/1.26 fof(f195,plain,(
% 6.97/1.26 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 6.97/1.26 inference(cnf_transformation,[status(esa)],[f194])).
% 6.97/1.26 fof(f196,plain,(
% 6.97/1.26 ![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))),
% 6.97/1.26 inference(pre_NNF_transformation,[status(esa)],[f44])).
% 6.97/1.26 fof(f197,plain,(
% 6.97/1.26 ![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))),
% 6.97/1.26 inference(miniscoping,[status(esa)],[f196])).
% 6.97/1.26 fof(f198,plain,(
% 6.97/1.26 ![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))),
% 6.97/1.26 inference(cnf_transformation,[status(esa)],[f197])).
% 6.97/1.26 fof(f202,plain,(
% 6.97/1.26 ![A,B,C,E,F]: (((~midp(E,A,B)|~para(E,F,B,C))|~coll(F,A,C))|midp(F,A,C))),
% 6.97/1.26 inference(pre_NNF_transformation,[status(esa)],[f46])).
% 6.97/1.26 fof(f203,plain,(
% 6.97/1.26 ![A,C,F]: (((![B,E]: (~midp(E,A,B)|~para(E,F,B,C)))|~coll(F,A,C))|midp(F,A,C))),
% 6.97/1.26 inference(miniscoping,[status(esa)],[f202])).
% 6.97/1.26 fof(f204,plain,(
% 6.97/1.26 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X0,X3,X2,X4)|~coll(X3,X1,X4)|midp(X3,X1,X4))),
% 6.97/1.26 inference(cnf_transformation,[status(esa)],[f203])).
% 6.97/1.26 fof(f205,plain,(
% 6.97/1.26 ![A,B,O]: (~cong(O,A,O,B)|eqangle(O,A,A,B,A,B,O,B))),
% 6.97/1.26 inference(pre_NNF_transformation,[status(esa)],[f47])).
% 6.97/1.26 fof(f206,plain,(
% 6.97/1.26 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|eqangle(X0,X1,X1,X2,X1,X2,X0,X2))),
% 6.97/1.26 inference(cnf_transformation,[status(esa)],[f205])).
% 6.97/1.26 fof(f217,plain,(
% 6.97/1.26 ![A,B,C,O,M]: (((~circle(O,A,B,C)|~coll(M,B,C))|~eqangle(A,B,A,C,O,B,O,M))|midp(M,B,C))),
% 6.97/1.26 inference(pre_NNF_transformation,[status(esa)],[f52])).
% 6.97/1.26 fof(f218,plain,(
% 6.97/1.26 ![B,C,M]: ((![A,O]: ((~circle(O,A,B,C)|~coll(M,B,C))|~eqangle(A,B,A,C,O,B,O,M)))|midp(M,B,C))),
% 6.97/1.26 inference(miniscoping,[status(esa)],[f217])).
% 6.97/1.26 fof(f219,plain,(
% 6.97/1.26 ![X0,X1,X2,X3,X4]: (~circle(X0,X1,X2,X3)|~coll(X4,X2,X3)|~eqangle(X1,X2,X1,X3,X0,X2,X0,X4)|midp(X4,X2,X3))),
% 6.97/1.26 inference(cnf_transformation,[status(esa)],[f218])).
% 6.97/1.26 fof(f220,plain,(
% 6.97/1.26 ![A,B,C,M]: ((~perp(A,B,B,C)|~midp(M,A,C))|cong(A,M,B,M))),
% 6.97/1.26 inference(pre_NNF_transformation,[status(esa)],[f53])).
% 6.97/1.26 fof(f221,plain,(
% 6.97/1.26 ![A,B,M]: ((![C]: (~perp(A,B,B,C)|~midp(M,A,C)))|cong(A,M,B,M))),
% 6.97/1.26 inference(miniscoping,[status(esa)],[f220])).
% 6.97/1.26 fof(f222,plain,(
% 6.97/1.26 ![X0,X1,X2,X3]: (~perp(X0,X1,X1,X2)|~midp(X3,X0,X2)|cong(X0,X3,X1,X3))),
% 6.97/1.26 inference(cnf_transformation,[status(esa)],[f221])).
% 6.97/1.26 fof(f231,plain,(
% 6.97/1.26 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 6.97/1.26 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 6.97/1.26 fof(f232,plain,(
% 6.97/1.26 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 6.97/1.26 inference(cnf_transformation,[status(esa)],[f231])).
% 6.97/1.26 fof(f233,plain,(
% 6.97/1.26 ![A,B,P,Q]: (((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q))|perp(P,A,A,Q))),
% 6.97/1.26 inference(pre_NNF_transformation,[status(esa)],[f58])).
% 6.97/1.26 fof(f234,plain,(
% 6.97/1.26 ![A,P,Q]: ((![B]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q)))|perp(P,A,A,Q))),
% 6.97/1.26 inference(miniscoping,[status(esa)],[f233])).
% 6.97/1.26 fof(f235,plain,(
% 6.97/1.26 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|~cyclic(X0,X2,X1,X3)|perp(X1,X0,X0,X3))),
% 6.97/1.26 inference(cnf_transformation,[status(esa)],[f234])).
% 6.97/1.26 fof(f255,plain,(
% 6.97/1.26 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 6.97/1.26 inference(pre_NNF_transformation,[status(esa)],[f67])).
% 6.97/1.26 fof(f256,plain,(
% 6.97/1.26 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 6.97/1.26 inference(cnf_transformation,[status(esa)],[f255])).
% 6.97/1.26 fof(f259,plain,(
% 6.97/1.26 ![A,B,C]: (~midp(A,B,C)|cong(A,B,A,C))),
% 6.97/1.26 inference(pre_NNF_transformation,[status(esa)],[f69])).
% 6.97/1.26 fof(f260,plain,(
% 6.97/1.26 ![X0,X1,X2]: (~midp(X0,X1,X2)|cong(X0,X1,X0,X2))),
% 6.97/1.26 inference(cnf_transformation,[status(esa)],[f259])).
% 6.97/1.26 fof(f346,plain,(
% 6.97/1.26 ![A,B,C,D]: (?[O]: ((~perp(A,C,C,B)|~cyclic(A,B,C,D))|circle(O,A,B,C)))),
% 6.97/1.26 inference(pre_NNF_transformation,[status(esa)],[f90])).
% 6.97/1.26 fof(f347,plain,(
% 6.97/1.26 ![A,B,C]: ((~perp(A,C,C,B)|(![D]: ~cyclic(A,B,C,D)))|(?[O]: circle(O,A,B,C)))),
% 6.97/1.26 inference(miniscoping,[status(esa)],[f346])).
% 6.97/1.26 fof(f348,plain,(
% 6.97/1.26 ![A,B,C]: ((~perp(A,C,C,B)|(![D]: ~cyclic(A,B,C,D)))|circle(sk0_15(C,B,A),A,B,C))),
% 6.97/1.26 inference(skolemization,[status(esa)],[f347])).
% 6.97/1.26 fof(f349,plain,(
% 6.97/1.26 ![X0,X1,X2,X3]: (~perp(X0,X1,X1,X2)|~cyclic(X0,X2,X1,X3)|circle(sk0_15(X1,X2,X0),X0,X2,X1))),
% 6.97/1.26 inference(cnf_transformation,[status(esa)],[f348])).
% 6.97/1.26 fof(f369,plain,(
% 6.97/1.26 (?[A,B,O,M,P,Q,D,C,T,K,S]: (((((((((((((((coll(M,A,B)&perp(P,M,A,O))&coll(P,A,O))&perp(Q,M,B,O))&coll(Q,B,O))&perp(D,B,A,O))&coll(D,A,O))&perp(C,A,B,O))&coll(C,B,O))&perp(T,Q,A,O))&coll(T,A,O))&perp(K,P,B,O))&coll(K,B,O))&coll(S,Q,T))&coll(S,P,K))&~perp(O,S,P,Q)))),
% 6.97/1.26 inference(pre_NNF_transformation,[status(esa)],[f96])).
% 6.97/1.26 fof(f370,plain,(
% 6.97/1.26 ?[O,P,Q,S]: ((?[K]: ((?[T]: ((?[B]: (((?[A]: (((?[C]: (((?[D]: ((((?[M]: (((coll(M,A,B)&perp(P,M,A,O))&coll(P,A,O))&perp(Q,M,B,O)))&coll(Q,B,O))&perp(D,B,A,O))&coll(D,A,O)))&perp(C,A,B,O))&coll(C,B,O)))&perp(T,Q,A,O))&coll(T,A,O)))&perp(K,P,B,O))&coll(K,B,O)))&coll(S,Q,T)))&coll(S,P,K)))&~perp(O,S,P,Q))),
% 6.97/1.26 inference(miniscoping,[status(esa)],[f369])).
% 6.97/1.26 fof(f371,plain,(
% 6.97/1.26 (((((((((((((((coll(sk0_30,sk0_27,sk0_26)&perp(sk0_21,sk0_30,sk0_27,sk0_20))&coll(sk0_21,sk0_27,sk0_20))&perp(sk0_22,sk0_30,sk0_26,sk0_20))&coll(sk0_22,sk0_26,sk0_20))&perp(sk0_29,sk0_26,sk0_27,sk0_20))&coll(sk0_29,sk0_27,sk0_20))&perp(sk0_28,sk0_27,sk0_26,sk0_20))&coll(sk0_28,sk0_26,sk0_20))&perp(sk0_25,sk0_22,sk0_27,sk0_20))&coll(sk0_25,sk0_27,sk0_20))&perp(sk0_24,sk0_21,sk0_26,sk0_20))&coll(sk0_24,sk0_26,sk0_20))&coll(sk0_23,sk0_22,sk0_25))&coll(sk0_23,sk0_21,sk0_24))&~perp(sk0_20,sk0_23,sk0_21,sk0_22))),
% 6.97/1.26 inference(skolemization,[status(esa)],[f370])).
% 6.97/1.26 fof(f379,plain,(
% 6.97/1.26 perp(sk0_28,sk0_27,sk0_26,sk0_20)),
% 6.97/1.26 inference(cnf_transformation,[status(esa)],[f371])).
% 6.97/1.26 fof(f387,plain,(
% 6.97/1.26 ~perp(sk0_20,sk0_23,sk0_21,sk0_22)),
% 6.97/1.26 inference(cnf_transformation,[status(esa)],[f371])).
% 6.97/1.26 fof(f584,plain,(
% 6.97/1.26 perp(sk0_26,sk0_20,sk0_28,sk0_27)),
% 6.97/1.26 inference(resolution,[status(thm)],[f114,f379])).
% 6.97/1.26 fof(f622,plain,(
% 6.97/1.26 ![X0,X1]: (~perp(X0,X1,sk0_26,sk0_20)|para(X0,X1,sk0_28,sk0_27))),
% 6.97/1.26 inference(resolution,[status(thm)],[f117,f584])).
% 6.97/1.26 fof(f1133,plain,(
% 6.97/1.26 para(sk0_28,sk0_27,sk0_28,sk0_27)),
% 6.97/1.26 inference(resolution,[status(thm)],[f622,f379])).
% 6.97/1.26 fof(f1429,plain,(
% 6.97/1.26 ![X0,X1,X2]: (cong(X0,X1,X2,X0)|~midp(X0,X1,X2))),
% 6.97/1.26 inference(resolution,[status(thm)],[f149,f260])).
% 6.97/1.26 fof(f2557,plain,(
% 6.97/1.26 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X2,X3,X4,X5,X4,X5))),
% 6.97/1.26 inference(resolution,[status(thm)],[f189,f144])).
% 6.97/1.26 fof(f2559,plain,(
% 6.97/1.26 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X4,X5,X0,X1,X4,X5,X2,X3))),
% 6.97/1.26 inference(resolution,[status(thm)],[f189,f140])).
% 6.97/1.26 fof(f3406,plain,(
% 6.97/1.26 ![X0,X1]: (~cong(X0,X0,X0,X1)|para(X0,X0,X0,X1))),
% 6.97/1.26 inference(resolution,[status(thm)],[f206,f186])).
% 6.97/1.26 fof(f9361,plain,(
% 6.97/1.26 ![X0,X1,X2]: (~midp(X0,X1,X2)|cong(X2,X0,X0,X1))),
% 6.97/1.26 inference(resolution,[status(thm)],[f1429,f151])).
% 6.97/1.26 fof(f9426,plain,(
% 6.97/1.26 ![X0,X1]: (para(X0,X0,X0,X1)|~midp(X0,X1,X0))),
% 6.97/1.26 inference(resolution,[status(thm)],[f3406,f9361])).
% 6.97/1.26 fof(f9624,plain,(
% 6.97/1.26 ![X0,X1]: (~midp(X0,X1,X0)|para(X0,X1,X0,X0))),
% 6.97/1.26 inference(resolution,[status(thm)],[f9426,f107])).
% 6.97/1.26 fof(f20442,plain,(
% 6.97/1.26 spl0_1294 <=> ~para(X4,X5,X4,X5)),
% 6.97/1.26 introduced(split_symbol_definition)).
% 6.97/1.26 fof(f20443,plain,(
% 6.97/1.26 ![X0,X1]: (~para(X0,X1,X0,X1)|~spl0_1294)),
% 6.97/1.26 inference(component_clause,[status(thm)],[f20442])).
% 6.97/1.26 fof(f20501,plain,(
% 6.97/1.26 spl0_1295 <=> para(X2,X3,X2,X3)),
% 6.97/1.26 introduced(split_symbol_definition)).
% 6.97/1.26 fof(f20502,plain,(
% 6.97/1.26 ![X0,X1]: (para(X0,X1,X0,X1)|~spl0_1295)),
% 6.97/1.26 inference(component_clause,[status(thm)],[f20501])).
% 6.97/1.26 fof(f20504,plain,(
% 6.97/1.26 ![X0,X1,X2,X3]: (~para(X0,X1,X0,X1)|para(X2,X3,X2,X3))),
% 6.97/1.26 inference(resolution,[status(thm)],[f2559,f186])).
% 6.97/1.26 fof(f20505,plain,(
% 6.97/1.26 spl0_1294|spl0_1295),
% 6.97/1.26 inference(split_clause,[status(thm)],[f20504,f20442,f20501])).
% 6.97/1.26 fof(f20546,plain,(
% 6.97/1.26 $false|~spl0_1294),
% 6.97/1.26 inference(backward_subsumption_resolution,[status(thm)],[f1133,f20443])).
% 6.97/1.26 fof(f20547,plain,(
% 6.97/1.26 ~spl0_1294),
% 6.97/1.26 inference(contradiction_clause,[status(thm)],[f20546])).
% 6.97/1.26 fof(f20583,plain,(
% 6.97/1.26 ![X0,X1]: (coll(X0,X1,X1)|~spl0_1295)),
% 6.97/1.26 inference(resolution,[status(thm)],[f20502,f256])).
% 6.97/1.26 fof(f20733,plain,(
% 6.97/1.26 ![X0,X1]: (coll(X0,X1,X0)|~spl0_1295)),
% 6.97/1.26 inference(resolution,[status(thm)],[f20583,f100])).
% 6.97/1.26 fof(f20883,plain,(
% 6.97/1.26 ![X0,X1]: (coll(X0,X0,X1)|~spl0_1295)),
% 6.97/1.26 inference(resolution,[status(thm)],[f20733,f98])).
% 6.97/1.26 fof(f20921,plain,(
% 6.97/1.26 ![X0,X1,X2]: (~coll(X0,X0,X1)|coll(X1,X2,X0)|~spl0_1295)),
% 6.97/1.26 inference(resolution,[status(thm)],[f20883,f103])).
% 6.97/1.26 fof(f20922,plain,(
% 6.97/1.26 ![X0,X1,X2]: (coll(X0,X1,X2)|~spl0_1295)),
% 6.97/1.26 inference(forward_subsumption_resolution,[status(thm)],[f20921,f20883])).
% 6.97/1.26 fof(f20927,plain,(
% 6.97/1.26 ![X0,X1,X2,X3,X4]: (~circle(X0,X1,X2,X3)|~eqangle(X1,X2,X1,X3,X0,X2,X0,X4)|midp(X4,X2,X3)|~spl0_1295)),
% 6.97/1.26 inference(backward_subsumption_resolution,[status(thm)],[f219,f20922])).
% 6.97/1.26 fof(f20929,plain,(
% 6.97/1.26 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X0,X3,X2,X4)|midp(X3,X1,X4)|~spl0_1295)),
% 6.97/1.26 inference(backward_subsumption_resolution,[status(thm)],[f204,f20922])).
% 6.97/1.26 fof(f20936,plain,(
% 6.97/1.26 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|cyclic(X1,X2,X0,X3)|~spl0_1295)),
% 6.97/1.26 inference(backward_subsumption_resolution,[status(thm)],[f195,f20922])).
% 6.97/1.26 fof(f21089,plain,(
% 6.97/1.26 ![X0,X1,X2,X3]: (~circle(X0,X1,X2,X3)|midp(X3,X2,X3)|~cyclic(X2,X3,X1,X0)|~spl0_1295)),
% 6.97/1.26 inference(resolution,[status(thm)],[f20927,f191])).
% 6.97/1.26 fof(f21304,plain,(
% 6.97/1.26 ![X0,X1,X2]: (cyclic(X0,X0,X1,X2)|~para(X1,X0,X1,X0)|~spl0_1295)),
% 6.97/1.26 inference(resolution,[status(thm)],[f20936,f2557])).
% 6.97/1.26 fof(f21305,plain,(
% 6.97/1.26 ![X0,X1,X2]: (cyclic(X0,X0,X1,X2)|~spl0_1295)),
% 6.97/1.26 inference(forward_subsumption_resolution,[status(thm)],[f21304,f20502])).
% 6.97/1.26 fof(f21423,plain,(
% 6.97/1.26 ![X0,X1,X2,X3]: (~cyclic(X0,X0,X1,X2)|cyclic(X0,X1,X2,X3)|~spl0_1295)),
% 6.97/1.26 inference(resolution,[status(thm)],[f21305,f136])).
% 6.97/1.26 fof(f21424,plain,(
% 6.97/1.26 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3)|~spl0_1295)),
% 6.97/1.26 inference(forward_subsumption_resolution,[status(thm)],[f21423,f21305])).
% 6.97/1.26 fof(f21438,plain,(
% 6.97/1.26 ![X0,X1,X2]: (~perp(X0,X1,X1,X2)|circle(sk0_15(X1,X2,X0),X0,X2,X1)|~spl0_1295)),
% 6.97/1.26 inference(backward_subsumption_resolution,[status(thm)],[f349,f21424])).
% 6.97/1.26 fof(f21440,plain,(
% 6.97/1.26 ![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_1295)),
% 6.97/1.26 inference(backward_subsumption_resolution,[status(thm)],[f198,f21424])).
% 6.97/1.26 fof(f21441,plain,(
% 6.97/1.26 ![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_1295)),
% 6.97/1.26 inference(forward_subsumption_resolution,[status(thm)],[f21440,f21424])).
% 6.97/1.26 fof(f21442,plain,(
% 6.97/1.26 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~spl0_1295)),
% 6.97/1.26 inference(backward_subsumption_resolution,[status(thm)],[f191,f21424])).
% 6.97/1.26 fof(f21443,plain,(
% 6.97/1.26 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X1,X0,X0,X3)|~spl0_1295)),
% 6.97/1.26 inference(backward_subsumption_resolution,[status(thm)],[f235,f21424])).
% 6.97/1.26 fof(f21456,plain,(
% 6.97/1.26 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X0,X2,X3,X4,X3,X5)|cong(X1,X2,X4,X5)|~spl0_1295)),
% 6.97/1.26 inference(forward_subsumption_resolution,[status(thm)],[f21441,f21424])).
% 6.97/1.26 fof(f21467,plain,(
% 6.97/1.26 ![X0,X1]: (cong(X0,X1,X0,X1)|~spl0_1295)),
% 6.97/1.26 inference(resolution,[status(thm)],[f21442,f21456])).
% 6.97/1.26 fof(f21847,plain,(
% 6.97/1.26 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X1,X0,X0,X2)|~spl0_1295)),
% 6.97/1.27 inference(resolution,[status(thm)],[f21467,f21443])).
% 6.97/1.27 fof(f21848,plain,(
% 6.97/1.27 ![X0,X1,X2]: (perp(X0,X1,X1,X2)|~spl0_1295)),
% 6.97/1.27 inference(forward_subsumption_resolution,[status(thm)],[f21847,f21467])).
% 6.97/1.27 fof(f21854,plain,(
% 6.97/1.27 ![X0,X1,X2]: (circle(sk0_15(X0,X1,X2),X2,X1,X0)|~spl0_1295)),
% 6.97/1.27 inference(backward_subsumption_resolution,[status(thm)],[f21438,f21848])).
% 6.97/1.27 fof(f22792,plain,(
% 6.97/1.27 ![X0,X1,X2,X3]: (~midp(X0,X1,X2)|cong(X1,X0,X3,X0)|~spl0_1295)),
% 6.97/1.27 inference(forward_subsumption_resolution,[status(thm)],[f222,f21848])).
% 6.97/1.27 fof(f22919,plain,(
% 6.97/1.27 ![X0,X1,X2,X3]: (~circle(X0,X1,X2,X3)|midp(X3,X2,X3)|~spl0_1295)),
% 6.97/1.27 inference(forward_subsumption_resolution,[status(thm)],[f21089,f21424])).
% 6.97/1.27 fof(f22920,plain,(
% 6.97/1.27 ![X0,X1]: (midp(X0,X1,X0)|~spl0_1295)),
% 6.97/1.27 inference(resolution,[status(thm)],[f22919,f21854])).
% 6.97/1.27 fof(f22924,plain,(
% 6.97/1.27 ![X0,X1]: (para(X0,X1,X0,X0)|~spl0_1295)),
% 6.97/1.27 inference(backward_subsumption_resolution,[status(thm)],[f9624,f22920])).
% 6.97/1.27 fof(f23070,plain,(
% 6.97/1.27 ![X0,X1,X2]: (~midp(X0,X1,X0)|midp(X2,X1,X0)|~spl0_1295)),
% 6.97/1.27 inference(resolution,[status(thm)],[f22924,f20929])).
% 6.97/1.27 fof(f23071,plain,(
% 6.97/1.27 ![X0,X1,X2]: (midp(X0,X1,X2)|~spl0_1295)),
% 6.97/1.27 inference(forward_subsumption_resolution,[status(thm)],[f23070,f22920])).
% 6.97/1.27 fof(f23083,plain,(
% 6.97/1.27 ![X0,X1,X2]: (cong(X0,X1,X2,X1)|~spl0_1295)),
% 6.97/1.27 inference(backward_subsumption_resolution,[status(thm)],[f22792,f23071])).
% 6.97/1.27 fof(f23289,plain,(
% 6.97/1.27 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|perp(X0,X2,X3,X1)|~spl0_1295)),
% 6.97/1.27 inference(backward_subsumption_resolution,[status(thm)],[f232,f23083])).
% 6.97/1.27 fof(f23290,plain,(
% 6.97/1.27 ![X0,X1,X2,X3]: (perp(X0,X1,X2,X3)|~spl0_1295)),
% 6.97/1.27 inference(forward_subsumption_resolution,[status(thm)],[f23289,f23083])).
% 6.97/1.27 fof(f23708,plain,(
% 6.97/1.27 $false|~spl0_1295),
% 6.97/1.27 inference(backward_subsumption_resolution,[status(thm)],[f387,f23290])).
% 6.97/1.27 fof(f23709,plain,(
% 6.97/1.27 ~spl0_1295),
% 6.97/1.27 inference(contradiction_clause,[status(thm)],[f23708])).
% 6.97/1.27 fof(f23710,plain,(
% 6.97/1.27 $false),
% 6.97/1.27 inference(sat_refutation,[status(thm)],[f20505,f20547,f23709])).
% 6.97/1.27 % SZS output end CNFRefutation for theBenchmark.p
% 6.97/1.29 % Elapsed time: 0.975621 seconds
% 6.97/1.29 % CPU time: 7.395362 seconds
% 6.97/1.29 % Memory used: 104.444 MB
%------------------------------------------------------------------------------