%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO658+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:26:47 PM UTC 2026
% Result : Theorem 4.72s 1.07s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO658+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n007.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 18:12:36 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.14/0.38 % Drodi V4.1.1
% 4.72/1.07 % Refutation found
% 4.72/1.07 % SZS status Theorem for theBenchmark: Theorem is valid
% 4.72/1.07 % SZS output start CNFRefutation for theBenchmark
% 4.72/1.07 fof(f1,axiom,(
% 4.72/1.07 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 4.72/1.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.72/1.07 fof(f2,axiom,(
% 4.72/1.07 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 4.72/1.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.72/1.07 fof(f3,axiom,(
% 4.72/1.07 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 4.72/1.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.72/1.07 fof(f4,axiom,(
% 4.72/1.07 (! [A,B,C,D] :( para(A,B,C,D)=> para(A,B,D,C) ) )),
% 4.72/1.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.72/1.07 fof(f5,axiom,(
% 4.72/1.07 (! [A,B,C,D] :( para(A,B,C,D)=> para(C,D,A,B) ) )),
% 4.72/1.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.72/1.07 fof(f6,axiom,(
% 4.72/1.07 (! [A,B,C,D,E,F] :( ( para(A,B,C,D)& para(C,D,E,F) )=> para(A,B,E,F) ) )),
% 4.72/1.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.72/1.07 fof(f11,axiom,(
% 4.72/1.07 (! [A,B,M] :( midp(M,B,A)=> midp(M,A,B) ) )),
% 4.72/1.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.72/1.07 fof(f17,axiom,(
% 4.72/1.07 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 4.72/1.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.72/1.07 fof(f18,axiom,(
% 4.72/1.07 (! [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) ) )),
% 4.72/1.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.72/1.07 fof(f19,axiom,(
% 4.72/1.07 (! [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) ) )),
% 4.72/1.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.72/1.07 fof(f20,axiom,(
% 4.72/1.07 (! [A,B,C,D,P,Q,U,V] :( eqangle(A,B,C,D,P,Q,U,V)=> eqangle(P,Q,U,V,A,B,C,D) ) )),
% 4.72/1.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.72/1.07 fof(f21,axiom,(
% 4.72/1.07 (! [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) ) )),
% 4.72/1.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.72/1.07 fof(f40,axiom,(
% 4.72/1.07 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 4.72/1.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.72/1.07 fof(f41,axiom,(
% 4.72/1.07 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 4.72/1.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.72/1.07 fof(f43,axiom,(
% 4.72/1.07 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 4.72/1.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.72/1.07 fof(f44,axiom,(
% 4.72/1.07 (! [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) ) )),
% 4.72/1.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.72/1.07 fof(f45,axiom,(
% 4.72/1.07 (! [A,B,C,E,F] :( ( midp(E,A,B)& midp(F,A,C) )=> para(E,F,B,C) ) )),
% 4.72/1.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.72/1.07 fof(f46,axiom,(
% 4.72/1.07 (! [A,B,C,E,F] :( ( midp(E,A,B)& para(E,F,B,C)& coll(F,A,C) )=> midp(F,A,C) ) )),
% 4.72/1.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.72/1.07 fof(f56,axiom,(
% 4.72/1.07 (! [A,B,M,O] :( ( midp(M,A,B)& perp(O,M,A,B) )=> cong(O,A,O,B) ) )),
% 4.72/1.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.72/1.07 fof(f58,axiom,(
% 4.72/1.07 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q)& cyclic(A,B,P,Q) )=> perp(P,A,A,Q) ) )),
% 4.72/1.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.72/1.07 fof(f67,axiom,(
% 4.72/1.07 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 4.72/1.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.72/1.07 fof(f68,axiom,(
% 4.72/1.07 (! [A,B,C] :( ( cong(A,B,A,C)& coll(A,B,C) )=> midp(A,B,C) ) )),
% 4.72/1.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.72/1.07 fof(f74,axiom,(
% 4.72/1.07 (! [A,B,C,D,P,Q,U,V] :( ( eqangle(A,B,C,D,P,Q,U,V)& para(P,Q,U,V) )=> para(A,B,C,D) ) )),
% 4.72/1.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.72/1.07 fof(f95,conjecture,(
% 4.72/1.07 (! [A,B,C,D,E,F,G,H,I] :( ( para(A,B,C,D)& para(A,C,B,D)& coll(E,A,C)& perp(F,E,C,D)& coll(F,C,D)& perp(G,E,B,C)& coll(G,B,C)& coll(H,E,G)& coll(H,A,D)& coll(I,E,F)& coll(I,A,B) )=> para(G,F,H,I) ) )),
% 4.72/1.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.72/1.07 fof(f96,negated_conjecture,(
% 4.72/1.07 ~((! [A,B,C,D,E,F,G,H,I] :( ( para(A,B,C,D)& para(A,C,B,D)& coll(E,A,C)& perp(F,E,C,D)& coll(F,C,D)& perp(G,E,B,C)& coll(G,B,C)& coll(H,E,G)& coll(H,A,D)& coll(I,E,F)& coll(I,A,B) )=> para(G,F,H,I) ) ))),
% 4.72/1.07 inference(negated_conjecture,[status(cth)],[f95])).
% 4.72/1.07 fof(f97,plain,(
% 4.72/1.07 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 4.72/1.07 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 4.72/1.07 fof(f98,plain,(
% 4.72/1.07 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 4.72/1.07 inference(cnf_transformation,[status(thm)],[f97])).
% 4.72/1.07 fof(f99,plain,(
% 4.72/1.07 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 4.72/1.07 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 4.72/1.07 fof(f100,plain,(
% 4.72/1.07 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 4.72/1.07 inference(cnf_transformation,[status(thm)],[f99])).
% 4.72/1.07 fof(f101,plain,(
% 4.72/1.07 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 4.72/1.07 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 4.72/1.07 fof(f102,plain,(
% 4.72/1.07 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 4.72/1.07 inference(miniscoping,[status(thm)],[f101])).
% 4.72/1.07 fof(f103,plain,(
% 4.72/1.07 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 4.72/1.07 inference(cnf_transformation,[status(thm)],[f102])).
% 4.72/1.07 fof(f104,plain,(
% 4.72/1.07 ![A,B,C,D]: (~para(A,B,C,D)|para(A,B,D,C))),
% 4.72/1.07 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 4.72/1.07 fof(f105,plain,(
% 4.72/1.07 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X0,X1,X3,X2))),
% 4.72/1.07 inference(cnf_transformation,[status(thm)],[f104])).
% 4.72/1.07 fof(f106,plain,(
% 4.72/1.07 ![A,B,C,D]: (~para(A,B,C,D)|para(C,D,A,B))),
% 4.72/1.07 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 4.72/1.07 fof(f107,plain,(
% 4.72/1.07 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X2,X3,X0,X1))),
% 4.72/1.07 inference(cnf_transformation,[status(thm)],[f106])).
% 4.72/1.07 fof(f108,plain,(
% 4.72/1.07 ![A,B,C,D,E,F]: ((~para(A,B,C,D)|~para(C,D,E,F))|para(A,B,E,F))),
% 4.72/1.07 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 4.72/1.07 fof(f109,plain,(
% 4.72/1.07 ![A,B,E,F]: ((![C,D]: (~para(A,B,C,D)|~para(C,D,E,F)))|para(A,B,E,F))),
% 4.72/1.07 inference(miniscoping,[status(thm)],[f108])).
% 4.72/1.07 fof(f110,plain,(
% 4.72/1.07 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|~para(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 4.72/1.07 inference(cnf_transformation,[status(thm)],[f109])).
% 4.72/1.07 fof(f121,plain,(
% 4.72/1.07 ![A,B,M]: (~midp(M,B,A)|midp(M,A,B))),
% 4.72/1.07 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 4.72/1.07 fof(f122,plain,(
% 4.72/1.07 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X0,X2,X1))),
% 4.72/1.07 inference(cnf_transformation,[status(thm)],[f121])).
% 4.72/1.07 fof(f134,plain,(
% 4.72/1.07 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 4.72/1.07 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 4.72/1.07 fof(f135,plain,(
% 4.72/1.07 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 4.72/1.07 inference(miniscoping,[status(thm)],[f134])).
% 4.72/1.07 fof(f136,plain,(
% 4.72/1.07 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 4.72/1.07 inference(cnf_transformation,[status(thm)],[f135])).
% 4.72/1.07 fof(f137,plain,(
% 4.72/1.07 ![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))),
% 4.72/1.07 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 4.72/1.07 fof(f138,plain,(
% 4.72/1.07 ![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))),
% 4.72/1.07 inference(cnf_transformation,[status(thm)],[f137])).
% 4.72/1.07 fof(f139,plain,(
% 4.72/1.07 ![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))),
% 4.72/1.07 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 4.72/1.07 fof(f140,plain,(
% 4.72/1.07 ![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))),
% 4.72/1.07 inference(cnf_transformation,[status(thm)],[f139])).
% 4.72/1.07 fof(f141,plain,(
% 4.72/1.07 ![A,B,C,D,P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|eqangle(P,Q,U,V,A,B,C,D))),
% 4.72/1.07 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 4.72/1.07 fof(f142,plain,(
% 4.72/1.07 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|eqangle(X4,X5,X6,X7,X0,X1,X2,X3))),
% 4.72/1.07 inference(cnf_transformation,[status(thm)],[f141])).
% 4.72/1.07 fof(f143,plain,(
% 4.72/1.07 ![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))),
% 4.72/1.07 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 4.72/1.07 fof(f144,plain,(
% 4.72/1.07 ![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))),
% 4.72/1.07 inference(cnf_transformation,[status(thm)],[f143])).
% 4.72/1.07 fof(f187,plain,(
% 4.72/1.07 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 4.72/1.07 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 4.72/1.07 fof(f188,plain,(
% 4.72/1.07 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 4.72/1.07 inference(miniscoping,[status(thm)],[f187])).
% 4.72/1.07 fof(f189,plain,(
% 4.72/1.07 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 4.72/1.07 inference(cnf_transformation,[status(thm)],[f188])).
% 4.72/1.07 fof(f190,plain,(
% 4.72/1.07 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 4.72/1.07 inference(pre_NNF_transformation,[status(thm)],[f41])).
% 4.72/1.07 fof(f191,plain,(
% 4.72/1.07 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 4.72/1.07 inference(cnf_transformation,[status(thm)],[f190])).
% 4.72/1.07 fof(f194,plain,(
% 4.72/1.07 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 4.72/1.07 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 4.72/1.07 fof(f195,plain,(
% 4.72/1.07 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 4.72/1.07 inference(cnf_transformation,[status(thm)],[f194])).
% 4.72/1.07 fof(f196,plain,(
% 4.72/1.07 ![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))),
% 4.72/1.07 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 4.72/1.07 fof(f197,plain,(
% 4.72/1.07 ![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))),
% 4.72/1.07 inference(miniscoping,[status(thm)],[f196])).
% 4.72/1.07 fof(f198,plain,(
% 4.72/1.07 ![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))),
% 4.72/1.07 inference(cnf_transformation,[status(thm)],[f197])).
% 4.72/1.07 fof(f199,plain,(
% 4.72/1.07 ![A,B,C,E,F]: ((~midp(E,A,B)|~midp(F,A,C))|para(E,F,B,C))),
% 4.72/1.07 inference(pre_NNF_transformation,[status(thm)],[f45])).
% 4.72/1.07 fof(f200,plain,(
% 4.72/1.07 ![B,C,E,F]: ((![A]: (~midp(E,A,B)|~midp(F,A,C)))|para(E,F,B,C))),
% 4.72/1.07 inference(miniscoping,[status(thm)],[f199])).
% 4.72/1.07 fof(f201,plain,(
% 4.72/1.07 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~midp(X3,X1,X4)|para(X0,X3,X2,X4))),
% 4.72/1.07 inference(cnf_transformation,[status(thm)],[f200])).
% 4.72/1.07 fof(f202,plain,(
% 4.72/1.07 ![A,B,C,E,F]: (((~midp(E,A,B)|~para(E,F,B,C))|~coll(F,A,C))|midp(F,A,C))),
% 4.72/1.07 inference(pre_NNF_transformation,[status(thm)],[f46])).
% 4.72/1.07 fof(f203,plain,(
% 4.72/1.07 ![A,C,F]: (((![B,E]: (~midp(E,A,B)|~para(E,F,B,C)))|~coll(F,A,C))|midp(F,A,C))),
% 4.72/1.07 inference(miniscoping,[status(thm)],[f202])).
% 4.72/1.07 fof(f204,plain,(
% 4.72/1.07 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X0,X3,X2,X4)|~coll(X3,X1,X4)|midp(X3,X1,X4))),
% 4.72/1.07 inference(cnf_transformation,[status(thm)],[f203])).
% 4.72/1.07 fof(f228,plain,(
% 4.72/1.07 ![A,B,M,O]: ((~midp(M,A,B)|~perp(O,M,A,B))|cong(O,A,O,B))),
% 4.72/1.07 inference(pre_NNF_transformation,[status(thm)],[f56])).
% 4.72/1.07 fof(f229,plain,(
% 4.72/1.07 ![A,B,O]: ((![M]: (~midp(M,A,B)|~perp(O,M,A,B)))|cong(O,A,O,B))),
% 4.72/1.07 inference(miniscoping,[status(thm)],[f228])).
% 4.72/1.07 fof(f230,plain,(
% 4.72/1.07 ![X0,X1,X2,X3]: (~midp(X0,X1,X2)|~perp(X3,X0,X1,X2)|cong(X3,X1,X3,X2))),
% 4.72/1.07 inference(cnf_transformation,[status(thm)],[f229])).
% 4.72/1.07 fof(f233,plain,(
% 4.72/1.07 ![A,B,P,Q]: (((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q))|perp(P,A,A,Q))),
% 4.72/1.07 inference(pre_NNF_transformation,[status(thm)],[f58])).
% 4.72/1.07 fof(f234,plain,(
% 4.72/1.07 ![A,P,Q]: ((![B]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q)))|perp(P,A,A,Q))),
% 4.72/1.07 inference(miniscoping,[status(thm)],[f233])).
% 4.72/1.07 fof(f235,plain,(
% 4.72/1.07 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|~cyclic(X0,X2,X1,X3)|perp(X1,X0,X0,X3))),
% 4.72/1.07 inference(cnf_transformation,[status(thm)],[f234])).
% 4.72/1.07 fof(f255,plain,(
% 4.72/1.07 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 4.72/1.07 inference(pre_NNF_transformation,[status(thm)],[f67])).
% 4.72/1.07 fof(f256,plain,(
% 4.72/1.07 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 4.72/1.07 inference(cnf_transformation,[status(thm)],[f255])).
% 4.72/1.07 fof(f257,plain,(
% 4.72/1.07 ![A,B,C]: ((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))),
% 4.72/1.07 inference(pre_NNF_transformation,[status(thm)],[f68])).
% 4.72/1.07 fof(f258,plain,(
% 4.72/1.07 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|~coll(X0,X1,X2)|midp(X0,X1,X2))),
% 4.72/1.07 inference(cnf_transformation,[status(thm)],[f257])).
% 4.72/1.07 fof(f269,plain,(
% 4.72/1.07 ![A,B,C,D,P,Q,U,V]: ((~eqangle(A,B,C,D,P,Q,U,V)|~para(P,Q,U,V))|para(A,B,C,D))),
% 4.72/1.07 inference(pre_NNF_transformation,[status(thm)],[f74])).
% 4.72/1.07 fof(f270,plain,(
% 4.72/1.07 ![A,B,C,D]: ((![P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|~para(P,Q,U,V)))|para(A,B,C,D))),
% 4.72/1.07 inference(miniscoping,[status(thm)],[f269])).
% 4.72/1.07 fof(f271,plain,(
% 4.72/1.07 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|~para(X4,X5,X6,X7)|para(X0,X1,X2,X3))),
% 4.72/1.07 inference(cnf_transformation,[status(thm)],[f270])).
% 4.72/1.07 fof(f369,plain,(
% 4.72/1.07 (?[A,B,C,D,E,F,G,H,I]: (((((((((((para(A,B,C,D)¶(A,C,B,D))&coll(E,A,C))&perp(F,E,C,D))&coll(F,C,D))&perp(G,E,B,C))&coll(G,B,C))&coll(H,E,G))&coll(H,A,D))&coll(I,E,F))&coll(I,A,B))&~para(G,F,H,I)))),
% 4.72/1.07 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 4.72/1.07 fof(f370,plain,(
% 4.72/1.07 ?[F,G,H,I]: ((?[A,B]: ((?[E]: ((?[D]: (((?[C]: ((((((para(A,B,C,D)¶(A,C,B,D))&coll(E,A,C))&perp(F,E,C,D))&coll(F,C,D))&perp(G,E,B,C))&coll(G,B,C)))&coll(H,E,G))&coll(H,A,D)))&coll(I,E,F)))&coll(I,A,B)))&~para(G,F,H,I))),
% 4.72/1.07 inference(miniscoping,[status(thm)],[f369])).
% 4.72/1.07 fof(f371,plain,(
% 4.72/1.07 (((((((((((para(sK24_skl,sK25_skl,sK28_skl,sK27_skl)¶(sK24_skl,sK28_skl,sK25_skl,sK27_skl))&coll(sK26_skl,sK24_skl,sK28_skl))&perp(sK20_skl,sK26_skl,sK28_skl,sK27_skl))&coll(sK20_skl,sK28_skl,sK27_skl))&perp(sK21_skl,sK26_skl,sK25_skl,sK28_skl))&coll(sK21_skl,sK25_skl,sK28_skl))&coll(sK22_skl,sK26_skl,sK21_skl))&coll(sK22_skl,sK24_skl,sK27_skl))&coll(sK23_skl,sK26_skl,sK20_skl))&coll(sK23_skl,sK24_skl,sK25_skl))&~para(sK21_skl,sK20_skl,sK22_skl,sK23_skl))),
% 4.72/1.07 inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl,sK21_skl,sK22_skl,sK23_skl,sK24_skl,sK25_skl,sK26_skl,sK27_skl,sK28_skl]),skolemize(F,sK20_skl),skolemize(G,sK21_skl),skolemize(H,sK22_skl),skolemize(I,sK23_skl),skolemize(A,sK24_skl),skolemize(B,sK25_skl),skolemize(E,sK26_skl),skolemize(D,sK27_skl),skolemize(C,sK28_skl)],[f370])).
% 4.72/1.07 fof(f372,plain,(
% 4.72/1.07 para(sK24_skl,sK25_skl,sK28_skl,sK27_skl)),
% 4.72/1.07 inference(cnf_transformation,[status(thm)],[f371])).
% 4.72/1.07 fof(f373,plain,(
% 4.72/1.07 para(sK24_skl,sK28_skl,sK25_skl,sK27_skl)),
% 4.72/1.07 inference(cnf_transformation,[status(thm)],[f371])).
% 4.72/1.07 fof(f383,plain,(
% 4.72/1.07 ~para(sK21_skl,sK20_skl,sK22_skl,sK23_skl)),
% 4.72/1.07 inference(cnf_transformation,[status(thm)],[f371])).
% 4.72/1.07 fof(f471,plain,(
% 4.72/1.07 para(sK24_skl,sK25_skl,sK27_skl,sK28_skl)),
% 4.72/1.07 inference(resolution,[status(thm)],[f105,f372])).
% 4.72/1.07 fof(f489,plain,(
% 4.72/1.07 ![X0,X1]: (~para(X0,X1,sK24_skl,sK28_skl)|para(X0,X1,sK25_skl,sK27_skl))),
% 4.72/1.07 inference(resolution,[status(thm)],[f373,f110])).
% 4.72/1.07 fof(f490,plain,(
% 4.72/1.07 para(sK25_skl,sK27_skl,sK24_skl,sK28_skl)),
% 4.72/1.07 inference(resolution,[status(thm)],[f373,f107])).
% 4.72/1.07 fof(f529,plain,(
% 4.72/1.07 ![X0,X1]: (eqangle(sK24_skl,sK25_skl,X0,X1,sK27_skl,sK28_skl,X0,X1))),
% 4.72/1.07 inference(resolution,[status(thm)],[f471,f189])).
% 4.72/1.07 fof(f597,plain,(
% 4.72/1.07 ![X0,X1]: (eqangle(sK25_skl,sK24_skl,X0,X1,sK27_skl,sK28_skl,X0,X1))),
% 4.72/1.07 inference(resolution,[status(thm)],[f138,f529])).
% 4.72/1.07 fof(f620,plain,(
% 4.72/1.07 ![X0,X1]: (eqangle(sK27_skl,sK28_skl,X0,X1,sK25_skl,sK24_skl,X0,X1))),
% 4.72/1.07 inference(resolution,[status(thm)],[f597,f142])).
% 4.72/1.07 fof(f699,plain,(
% 4.72/1.07 ![X0,X1]: (eqangle(X0,X1,sK27_skl,sK28_skl,X0,X1,sK25_skl,sK24_skl))),
% 4.72/1.07 inference(resolution,[status(thm)],[f620,f140])).
% 4.72/1.07 fof(f737,plain,(
% 4.72/1.07 ![X0,X1]: (eqangle(sK27_skl,sK28_skl,sK25_skl,sK24_skl,X0,X1,X0,X1))),
% 4.72/1.07 inference(resolution,[status(thm)],[f144,f620])).
% 4.72/1.07 fof(f839,plain,(
% 4.72/1.07 ![X0,X1]: (eqangle(X0,X1,X0,X1,sK27_skl,sK28_skl,sK25_skl,sK24_skl))),
% 4.72/1.07 inference(resolution,[status(thm)],[f699,f144])).
% 4.72/1.07 fof(f876,plain,(
% 4.72/1.07 para(sK25_skl,sK27_skl,sK25_skl,sK27_skl)),
% 4.72/1.07 inference(resolution,[status(thm)],[f489,f490])).
% 4.72/1.07 fof(f908,plain,(
% 4.72/1.07 ![X0,X1]: (~para(X0,X1,X0,X1)|para(sK27_skl,sK28_skl,sK25_skl,sK24_skl))),
% 4.72/1.07 inference(resolution,[status(thm)],[f737,f271])).
% 4.72/1.07 fof(f910,definition,(
% 4.72/1.07 ![X0,X1]: (sQ4_spl <=> (~para(X0,X1,X0,X1)))),
% 4.72/1.07 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 4.72/1.07 fof(f911,plain,(
% 4.72/1.07 ![X0,X1]: (~para(X0,X1,X0,X1)|~sQ4_spl)),
% 4.72/1.07 inference(component_clause,[status(thm)],[f910])).
% 4.72/1.07 fof(f913,definition,(
% 4.72/1.07 sQ5_spl <=> (para(sK27_skl,sK28_skl,sK25_skl,sK24_skl))),
% 4.72/1.07 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 4.72/1.07 fof(f916,plain,(
% 4.72/1.07 sQ4_spl|sQ5_spl),
% 4.72/1.07 inference(split_clause,[status(thm)],[f908,f910,f913])).
% 4.72/1.07 fof(f917,plain,(
% 4.72/1.07 $false|~sQ4_spl),
% 4.72/1.07 inference(backward_subsumption_resolution,[status(thm)],[f876,f911])).
% 4.72/1.07 fof(f919,plain,(
% 4.72/1.07 ~sQ4_spl),
% 4.72/1.07 inference(contradiction_clause,[status(thm)],[f917])).
% 4.72/1.07 fof(f1070,definition,(
% 4.72/1.07 ![X0,X1]: (sQ19_spl <=> (para(X0,X1,X0,X1)))),
% 4.72/1.07 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 4.72/1.07 fof(f1071,plain,(
% 4.72/1.07 ![X0,X1]: (para(X0,X1,X0,X1)|~sQ19_spl)),
% 4.72/1.07 inference(component_clause,[status(thm)],[f1070])).
% 4.72/1.07 fof(f1076,plain,(
% 4.72/1.07 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X3,X0,X1,X2,X3)|~sQ19_spl)),
% 4.72/1.07 inference(resolution,[status(thm)],[f1071,f189])).
% 4.72/1.07 fof(f1077,plain,(
% 4.72/1.07 ![X0,X1]: (coll(X0,X1,X1)|~sQ19_spl)),
% 4.72/1.07 inference(resolution,[status(thm)],[f1071,f256])).
% 4.72/1.07 fof(f1093,plain,(
% 4.72/1.07 ![X0,X1]: (coll(X0,X1,X0)|~sQ19_spl)),
% 4.72/1.07 inference(resolution,[status(thm)],[f1077,f100])).
% 4.72/1.07 fof(f1104,plain,(
% 4.72/1.07 ![X0,X1]: (coll(X0,X0,X1)|~sQ19_spl)),
% 4.72/1.07 inference(resolution,[status(thm)],[f1093,f98])).
% 4.72/1.07 fof(f1112,plain,(
% 4.72/1.07 ![X0,X1,X2]: (~coll(X0,X0,X1)|coll(X1,X2,X0)|~sQ19_spl)),
% 4.72/1.07 inference(resolution,[status(thm)],[f1104,f103])).
% 4.72/1.07 fof(f1116,plain,(
% 4.72/1.07 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|midp(X0,X1,X2)|~sQ19_spl)),
% 4.72/1.07 inference(backward_subsumption_resolution,[status(thm)],[f258,f1123])).
% 4.72/1.07 fof(f1121,plain,(
% 4.72/1.07 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X0,X3,X2,X4)|midp(X3,X1,X4)|~sQ19_spl)),
% 4.72/1.07 inference(backward_subsumption_resolution,[status(thm)],[f204,f1123])).
% 4.72/1.07 fof(f1122,plain,(
% 4.72/1.07 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|cyclic(X1,X2,X0,X3)|~sQ19_spl)),
% 4.72/1.07 inference(backward_subsumption_resolution,[status(thm)],[f195,f1123])).
% 4.72/1.07 fof(f1123,plain,(
% 4.72/1.07 ![X0,X1,X2]: (coll(X0,X1,X2)|~sQ19_spl)),
% 4.72/1.07 inference(forward_subsumption_resolution,[status(thm)],[f1112,f1104])).
% 4.72/1.07 fof(f1133,plain,(
% 4.72/1.07 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X1,X2,X3,X2,X3)|~sQ19_spl)),
% 4.72/1.07 inference(resolution,[status(thm)],[f1076,f144])).
% 4.72/1.07 fof(f1415,plain,(
% 4.72/1.07 ![X0,X1]: (~para(sK27_skl,sK28_skl,sK25_skl,sK24_skl)|para(X0,X1,X0,X1))),
% 4.72/1.07 inference(resolution,[status(thm)],[f839,f271])).
% 4.72/1.07 fof(f1417,plain,(
% 4.72/1.07 ~sQ5_spl|sQ19_spl),
% 4.72/1.07 inference(split_clause,[status(thm)],[f1415,f913,f1070])).
% 4.72/1.07 fof(f1591,plain,(
% 4.72/1.07 ![X0,X1,X2]: (~midp(X0,X1,X0)|midp(X2,X1,X2)|~sQ19_spl)),
% 4.72/1.07 inference(resolution,[status(thm)],[f1121,f1071])).
% 4.72/1.07 fof(f1597,plain,(
% 4.72/1.07 ![X0,X1,X2]: (cyclic(X0,X0,X1,X2)|~sQ19_spl)),
% 4.72/1.07 inference(resolution,[status(thm)],[f1122,f1133])).
% 4.72/1.07 fof(f1600,plain,(
% 4.72/1.07 ![X0,X1,X2,X3]: (~cyclic(X0,X0,X1,X2)|cyclic(X0,X1,X2,X3)|~sQ19_spl)),
% 4.72/1.07 inference(resolution,[status(thm)],[f1597,f136])).
% 4.72/1.07 fof(f1605,plain,(
% 4.72/1.07 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~sQ19_spl)),
% 4.72/1.07 inference(backward_subsumption_resolution,[status(thm)],[f191,f1611])).
% 4.72/1.07 fof(f1608,plain,(
% 4.72/1.07 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X1,X0,X0,X3)|~sQ19_spl)),
% 4.72/1.07 inference(backward_subsumption_resolution,[status(thm)],[f235,f1611])).
% 4.72/1.07 fof(f1610,plain,(
% 4.72/1.07 ![X0,X1,X2,X3,X4,X5]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|~eqangle(X2,X0,X2,X1,X5,X3,X5,X4)|cong(X0,X1,X3,X4)|~sQ19_spl)),
% 4.72/1.07 inference(backward_subsumption_resolution,[status(thm)],[f198,f1611])).
% 4.72/1.07 fof(f1611,plain,(
% 4.72/1.07 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3)|~sQ19_spl)),
% 4.72/1.07 inference(forward_subsumption_resolution,[status(thm)],[f1600,f1597])).
% 4.72/1.07 fof(f1612,plain,(
% 4.72/1.07 ![X0,X1,X2,X3,X4,X5]: (~cyclic(X0,X1,X2,X3)|~eqangle(X2,X0,X2,X1,X4,X5,X4,X3)|cong(X0,X1,X5,X3)|~sQ19_spl)),
% 4.72/1.07 inference(forward_subsumption_resolution,[status(thm)],[f1610,f1611])).
% 4.72/1.07 fof(f1690,plain,(
% 4.72/1.07 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X1,X0,X3,X2,X3)|~sQ19_spl)),
% 4.72/1.07 inference(resolution,[status(thm)],[f1605,f144])).
% 4.72/1.07 fof(f1693,plain,(
% 4.72/1.07 ![X0,X1,X2,X3]: (eqangle(X0,X1,X1,X2,X3,X0,X3,X2)|~sQ19_spl)),
% 4.72/1.07 inference(resolution,[status(thm)],[f1605,f138])).
% 4.72/1.07 fof(f1816,plain,(
% 4.72/1.07 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X0,X1,X3,X2,X3)|~sQ19_spl)),
% 4.72/1.07 inference(resolution,[status(thm)],[f1690,f138])).
% 4.72/1.07 fof(f1824,plain,(
% 4.72/1.07 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X0,X3,X1,X3,X2)|~sQ19_spl)),
% 4.72/1.07 inference(resolution,[status(thm)],[f1693,f140])).
% 4.72/1.07 fof(f1905,plain,(
% 4.72/1.07 ![X0,X1,X2,X3]: (eqangle(X0,X1,X1,X2,X0,X3,X2,X3)|~sQ19_spl)),
% 4.72/1.07 inference(resolution,[status(thm)],[f1816,f140])).
% 4.72/1.07 fof(f2011,plain,(
% 4.72/1.07 ![X0,X1]: (~cyclic(X0,X0,X0,X1)|cong(X0,X0,X1,X1)|~sQ19_spl)),
% 4.72/1.07 inference(resolution,[status(thm)],[f1612,f1905])).
% 4.72/1.07 fof(f2013,plain,(
% 4.72/1.07 ![X0,X1]: (~cyclic(X0,X1,X1,X1)|cong(X0,X1,X0,X1)|~sQ19_spl)),
% 4.72/1.08 inference(resolution,[status(thm)],[f1612,f1824])).
% 4.72/1.08 fof(f2144,plain,(
% 4.72/1.08 ![X0,X1]: (cong(X0,X0,X1,X1)|~sQ19_spl)),
% 4.72/1.08 inference(forward_subsumption_resolution,[status(thm)],[f2011,f1611])).
% 4.72/1.08 fof(f2145,plain,(
% 4.72/1.08 ![X0,X1]: (cong(X0,X1,X0,X1)|~sQ19_spl)),
% 4.72/1.08 inference(forward_subsumption_resolution,[status(thm)],[f2013,f1611])).
% 4.72/1.08 fof(f2173,plain,(
% 4.72/1.08 ![X0]: (midp(X0,X0,X0)|~sQ19_spl)),
% 4.72/1.08 inference(resolution,[status(thm)],[f2144,f1116])).
% 4.72/1.08 fof(f2183,plain,(
% 4.72/1.08 ![X0,X1]: (midp(X0,X1,X0)|~sQ19_spl)),
% 4.72/1.08 inference(resolution,[status(thm)],[f2173,f1591])).
% 4.72/1.08 fof(f2191,plain,(
% 4.72/1.08 ![X0,X1]: (midp(X0,X0,X1)|~sQ19_spl)),
% 4.72/1.08 inference(resolution,[status(thm)],[f2183,f122])).
% 4.72/1.08 fof(f2201,plain,(
% 4.72/1.08 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X1,X0,X0,X2)|~sQ19_spl)),
% 4.72/1.08 inference(resolution,[status(thm)],[f2145,f1608])).
% 4.72/1.08 fof(f2217,plain,(
% 4.72/1.08 ![X0,X1,X2]: (perp(X0,X1,X1,X2)|~sQ19_spl)),
% 4.72/1.08 inference(forward_subsumption_resolution,[status(thm)],[f2201,f2145])).
% 4.72/1.08 fof(f2234,plain,(
% 4.72/1.08 ![X0,X1,X2]: (~midp(X0,X0,X1)|cong(X2,X0,X2,X1)|~sQ19_spl)),
% 4.72/1.08 inference(resolution,[status(thm)],[f2217,f230])).
% 4.72/1.08 fof(f2240,plain,(
% 4.72/1.08 ![X0,X1,X2]: (midp(X0,X1,X2)|~sQ19_spl)),
% 4.72/1.08 inference(backward_subsumption_resolution,[status(thm)],[f1116,f2247])).
% 4.72/1.08 fof(f2247,plain,(
% 4.72/1.08 ![X0,X1,X2]: (cong(X0,X1,X0,X2)|~sQ19_spl)),
% 4.72/1.08 inference(forward_subsumption_resolution,[status(thm)],[f2234,f2191])).
% 4.72/1.08 fof(f2252,plain,(
% 4.72/1.08 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|para(X3,X0,X4,X2)|~sQ19_spl)),
% 4.72/1.08 inference(backward_subsumption_resolution,[status(thm)],[f201,f2240])).
% 4.72/1.08 fof(f2270,plain,(
% 4.72/1.08 $false|~sQ19_spl),
% 4.72/1.08 inference(backward_subsumption_resolution,[status(thm)],[f383,f2277])).
% 4.72/1.08 fof(f2277,plain,(
% 4.72/1.08 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3)|~sQ19_spl)),
% 4.72/1.08 inference(forward_subsumption_resolution,[status(thm)],[f2252,f2240])).
% 4.72/1.08 fof(f2285,plain,(
% 4.72/1.08 ~sQ19_spl),
% 4.72/1.08 inference(contradiction_clause,[status(thm)],[f2270])).
% 4.72/1.08 fof(f2286,plain,(
% 4.72/1.08 $false),
% 4.72/1.08 inference(sat_refutation,[status(thm)],[f916,f919,f1417,f2285])).
% 4.72/1.08 % SZS output end CNFRefutation for theBenchmark.p
% 3.68/1.11 % Elapsed time: 0.722393 seconds
% 3.68/1.11 % CPU time: 5.448534 seconds
% 3.68/1.11 % Total memory used: 116.636 MB
% 3.68/1.11 % Net memory used: 112.549 MB
%------------------------------------------------------------------------------