%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO541+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 : n012.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 12:26:36 PM UTC 2026
% Result : Theorem 0.07s 15.71s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GEO541+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/15.32 % Computer : n012.cluster.edu
% 0.03/15.32 % Model : x86_64 x86_64
% 0.03/15.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/15.32 % Memory : 8046.5625MB
% 0.03/15.32 % OS : Linux 6.8.0-71-generic
% 0.03/15.32 % CPULimit : 300
% 0.03/15.32 % WCLimit : 300
% 0.03/15.32 % DateTime : Sun Sep 20 17:18:07 UTC 2026
% 0.03/15.32 % CPUTime :
% 0.03/15.33 % Drodi V4.1.1
% 0.07/15.71 % Refutation found
% 0.07/15.71 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.07/15.71 % SZS output start CNFRefutation for theBenchmark
% 0.07/15.71 fof(f4,axiom,(
% 0.07/15.71 (! [A,B,C,D] :( para(A,B,C,D)=> para(A,B,D,C) ) )),
% 0.07/15.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/15.71 fof(f5,axiom,(
% 0.07/15.71 (! [A,B,C,D] :( para(A,B,C,D)=> para(C,D,A,B) ) )),
% 0.07/15.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/15.71 fof(f8,axiom,(
% 0.07/15.71 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 0.07/15.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/15.71 fof(f9,axiom,(
% 0.07/15.71 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 0.07/15.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/15.71 fof(f10,axiom,(
% 0.07/15.71 (! [A,B,C,D,E,F] :( ( para(A,B,C,D)& perp(C,D,E,F) )=> perp(A,B,E,F) ) )),
% 0.07/15.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/15.71 fof(f11,axiom,(
% 0.07/15.71 (! [A,B,M] :( midp(M,B,A)=> midp(M,A,B) ) )),
% 0.07/15.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/15.71 fof(f17,axiom,(
% 0.07/15.71 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 0.07/15.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/15.71 fof(f18,axiom,(
% 0.07/15.71 (! [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) ) )),
% 0.07/15.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/15.71 fof(f19,axiom,(
% 0.07/15.71 (! [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) ) )),
% 0.07/15.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/15.71 fof(f20,axiom,(
% 0.07/15.71 (! [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) ) )),
% 0.07/15.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/15.71 fof(f21,axiom,(
% 0.07/15.71 (! [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) ) )),
% 0.07/15.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/15.71 fof(f40,axiom,(
% 0.07/15.71 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 0.07/15.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/15.71 fof(f41,axiom,(
% 0.07/15.71 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 0.07/15.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/15.71 fof(f42,axiom,(
% 0.07/15.71 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& ~ coll(P,Q,A) )=> cyclic(A,B,P,Q) ) )),
% 0.07/15.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/15.71 fof(f43,axiom,(
% 0.07/15.71 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 0.07/15.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/15.71 fof(f44,axiom,(
% 0.07/15.71 (! [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) ) )),
% 0.07/15.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/15.71 fof(f57,axiom,(
% 0.07/15.71 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 0.07/15.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/15.71 fof(f64,axiom,(
% 0.07/15.71 (! [A,B,C,D,M] :( ( midp(M,A,B)& midp(M,C,D) )=> para(A,C,B,D) ) )),
% 0.07/15.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/15.71 fof(f95,conjecture,(
% 0.07/15.71 (! [A,B,C,D,E,F,G] :( ( perp(D,C,A,B)& coll(D,A,B)& perp(E,B,A,C)& coll(E,A,C)& midp(F,C,B)& midp(G,D,E) )=> perp(F,G,D,E) ) )),
% 0.07/15.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/15.71 fof(f96,negated_conjecture,(
% 0.07/15.71 ~((! [A,B,C,D,E,F,G] :( ( perp(D,C,A,B)& coll(D,A,B)& perp(E,B,A,C)& coll(E,A,C)& midp(F,C,B)& midp(G,D,E) )=> perp(F,G,D,E) ) ))),
% 0.07/15.71 inference(negated_conjecture,[status(cth)],[f95])).
% 0.07/15.71 fof(f104,plain,(
% 0.07/15.71 ![A,B,C,D]: (~para(A,B,C,D)|para(A,B,D,C))),
% 0.07/15.71 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.07/15.71 fof(f105,plain,(
% 0.07/15.71 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X0,X1,X3,X2))),
% 0.07/15.71 inference(cnf_transformation,[status(thm)],[f104])).
% 0.07/15.71 fof(f106,plain,(
% 0.07/15.71 ![A,B,C,D]: (~para(A,B,C,D)|para(C,D,A,B))),
% 0.07/15.71 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.07/15.71 fof(f107,plain,(
% 0.07/15.71 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X2,X3,X0,X1))),
% 0.07/15.71 inference(cnf_transformation,[status(thm)],[f106])).
% 0.07/15.71 fof(f113,plain,(
% 0.07/15.71 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 0.07/15.71 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.07/15.71 fof(f114,plain,(
% 0.07/15.71 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 0.07/15.71 inference(cnf_transformation,[status(thm)],[f113])).
% 0.07/15.71 fof(f115,plain,(
% 0.07/15.71 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 0.07/15.71 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.07/15.71 fof(f116,plain,(
% 0.07/15.71 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 0.07/15.71 inference(miniscoping,[status(thm)],[f115])).
% 0.07/15.71 fof(f117,plain,(
% 0.07/15.71 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 0.07/15.71 inference(cnf_transformation,[status(thm)],[f116])).
% 0.07/15.71 fof(f118,plain,(
% 0.07/15.71 ![A,B,C,D,E,F]: ((~para(A,B,C,D)|~perp(C,D,E,F))|perp(A,B,E,F))),
% 0.07/15.71 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.07/15.71 fof(f119,plain,(
% 0.07/15.71 ![A,B,E,F]: ((![C,D]: (~para(A,B,C,D)|~perp(C,D,E,F)))|perp(A,B,E,F))),
% 0.07/15.71 inference(miniscoping,[status(thm)],[f118])).
% 0.07/15.71 fof(f120,plain,(
% 0.07/15.71 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|perp(X0,X1,X4,X5))),
% 0.07/15.71 inference(cnf_transformation,[status(thm)],[f119])).
% 0.07/15.71 fof(f121,plain,(
% 0.07/15.71 ![A,B,M]: (~midp(M,B,A)|midp(M,A,B))),
% 0.07/15.71 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 0.07/15.71 fof(f122,plain,(
% 0.07/15.71 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X0,X2,X1))),
% 0.07/15.71 inference(cnf_transformation,[status(thm)],[f121])).
% 0.07/15.71 fof(f134,plain,(
% 0.07/15.71 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 0.07/15.71 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 0.07/15.71 fof(f135,plain,(
% 0.07/15.71 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 0.07/15.71 inference(miniscoping,[status(thm)],[f134])).
% 0.07/15.71 fof(f136,plain,(
% 0.07/15.71 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 0.07/15.71 inference(cnf_transformation,[status(thm)],[f135])).
% 0.07/15.71 fof(f137,plain,(
% 0.07/15.71 ![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))),
% 0.07/15.71 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 0.07/15.71 fof(f138,plain,(
% 0.07/15.71 ![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))),
% 0.07/15.71 inference(cnf_transformation,[status(thm)],[f137])).
% 0.07/15.71 fof(f139,plain,(
% 0.07/15.71 ![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))),
% 0.07/15.71 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 0.07/15.71 fof(f140,plain,(
% 0.07/15.71 ![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))),
% 0.07/15.71 inference(cnf_transformation,[status(thm)],[f139])).
% 0.07/15.71 fof(f141,plain,(
% 0.07/15.71 ![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))),
% 0.07/15.71 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 0.07/15.71 fof(f142,plain,(
% 0.07/15.71 ![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))),
% 0.07/15.71 inference(cnf_transformation,[status(thm)],[f141])).
% 0.07/15.71 fof(f143,plain,(
% 0.07/15.71 ![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))),
% 0.07/15.71 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 0.07/15.71 fof(f144,plain,(
% 0.07/15.71 ![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))),
% 0.07/15.71 inference(cnf_transformation,[status(thm)],[f143])).
% 0.07/15.71 fof(f187,plain,(
% 0.07/15.71 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 0.07/15.71 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 0.07/15.71 fof(f188,plain,(
% 0.07/15.71 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 0.07/15.71 inference(miniscoping,[status(thm)],[f187])).
% 0.07/15.71 fof(f189,plain,(
% 0.07/15.71 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 0.07/15.71 inference(cnf_transformation,[status(thm)],[f188])).
% 0.07/15.71 fof(f190,plain,(
% 0.07/15.71 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 0.07/15.71 inference(pre_NNF_transformation,[status(thm)],[f41])).
% 0.07/15.71 fof(f191,plain,(
% 0.07/15.71 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 0.07/15.71 inference(cnf_transformation,[status(thm)],[f190])).
% 0.07/15.71 fof(f192,plain,(
% 0.07/15.71 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|coll(P,Q,A))|cyclic(A,B,P,Q))),
% 0.07/15.71 inference(pre_NNF_transformation,[status(thm)],[f42])).
% 0.07/15.71 fof(f193,plain,(
% 0.07/15.71 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|coll(X0,X3,X1)|cyclic(X1,X2,X0,X3))),
% 0.07/15.71 inference(cnf_transformation,[status(thm)],[f192])).
% 0.07/15.71 fof(f194,plain,(
% 0.07/15.71 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 0.07/15.71 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 0.07/15.71 fof(f195,plain,(
% 0.07/15.71 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 0.07/15.71 inference(cnf_transformation,[status(thm)],[f194])).
% 0.07/15.71 fof(f196,plain,(
% 0.07/15.71 ![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))),
% 0.07/15.71 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 0.07/15.71 fof(f197,plain,(
% 0.07/15.71 ![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))),
% 0.07/15.71 inference(miniscoping,[status(thm)],[f196])).
% 0.07/15.71 fof(f198,plain,(
% 0.07/15.71 ![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))),
% 0.07/15.71 inference(cnf_transformation,[status(thm)],[f197])).
% 0.07/15.71 fof(f231,plain,(
% 0.07/15.71 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 0.07/15.71 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 0.07/15.71 fof(f232,plain,(
% 0.07/15.71 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 0.07/15.71 inference(cnf_transformation,[status(thm)],[f231])).
% 0.07/15.71 fof(f247,plain,(
% 0.07/15.71 ![A,B,C,D,M]: ((~midp(M,A,B)|~midp(M,C,D))|para(A,C,B,D))),
% 0.07/15.71 inference(pre_NNF_transformation,[status(thm)],[f64])).
% 0.07/15.71 fof(f248,plain,(
% 0.07/15.71 ![A,B,C,D]: ((![M]: (~midp(M,A,B)|~midp(M,C,D)))|para(A,C,B,D))),
% 0.07/15.71 inference(miniscoping,[status(thm)],[f247])).
% 0.07/15.71 fof(f249,plain,(
% 0.07/15.71 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~midp(X0,X3,X4)|para(X1,X3,X2,X4))),
% 0.07/15.71 inference(cnf_transformation,[status(thm)],[f248])).
% 0.07/15.71 fof(f369,plain,(
% 0.07/15.71 (?[A,B,C,D,E,F,G]: ((((((perp(D,C,A,B)&coll(D,A,B))&perp(E,B,A,C))&coll(E,A,C))&midp(F,C,B))&midp(G,D,E))&~perp(F,G,D,E)))),
% 0.07/15.71 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 0.07/15.71 fof(f370,plain,(
% 0.07/15.71 ?[D,E,F,G]: (((?[B,C]: ((?[A]: (((perp(D,C,A,B)&coll(D,A,B))&perp(E,B,A,C))&coll(E,A,C)))&midp(F,C,B)))&midp(G,D,E))&~perp(F,G,D,E))),
% 0.07/15.71 inference(miniscoping,[status(thm)],[f369])).
% 0.07/15.71 fof(f371,plain,(
% 0.07/15.71 ((((((perp(sK20_skl,sK25_skl,sK26_skl,sK24_skl)&coll(sK20_skl,sK26_skl,sK24_skl))&perp(sK21_skl,sK24_skl,sK26_skl,sK25_skl))&coll(sK21_skl,sK26_skl,sK25_skl))&midp(sK22_skl,sK25_skl,sK24_skl))&midp(sK23_skl,sK20_skl,sK21_skl))&~perp(sK22_skl,sK23_skl,sK20_skl,sK21_skl))),
% 0.07/15.71 inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl,sK21_skl,sK22_skl,sK23_skl,sK24_skl,sK25_skl,sK26_skl]),skolemize(D,sK20_skl),skolemize(E,sK21_skl),skolemize(F,sK22_skl),skolemize(G,sK23_skl),skolemize(B,sK24_skl),skolemize(C,sK25_skl),skolemize(A,sK26_skl)],[f370])).
% 0.07/15.71 fof(f376,plain,(
% 0.07/15.71 midp(sK22_skl,sK25_skl,sK24_skl)),
% 0.07/15.71 inference(cnf_transformation,[status(thm)],[f371])).
% 0.07/15.71 fof(f378,plain,(
% 0.07/15.71 ~perp(sK22_skl,sK23_skl,sK20_skl,sK21_skl)),
% 0.07/15.71 inference(cnf_transformation,[status(thm)],[f371])).
% 0.07/15.71 fof(f418,plain,(
% 0.07/15.71 midp(sK22_skl,sK24_skl,sK25_skl)),
% 0.07/15.71 inference(resolution,[status(thm)],[f122,f376])).
% 0.07/15.71 fof(f745,plain,(
% 0.07/15.71 ![X0,X1]: (~midp(sK22_skl,X0,X1)|para(X0,sK24_skl,X1,sK25_skl))),
% 0.07/15.71 inference(resolution,[status(thm)],[f249,f418])).
% 0.07/15.71 fof(f824,plain,(
% 0.07/15.71 para(sK25_skl,sK24_skl,sK24_skl,sK25_skl)),
% 0.07/15.71 inference(resolution,[status(thm)],[f745,f376])).
% 0.07/15.71 fof(f831,plain,(
% 0.07/15.71 para(sK24_skl,sK25_skl,sK25_skl,sK24_skl)),
% 0.07/15.71 inference(resolution,[status(thm)],[f824,f107])).
% 0.07/15.71 fof(f840,plain,(
% 0.07/15.71 para(sK24_skl,sK25_skl,sK24_skl,sK25_skl)),
% 0.07/15.71 inference(resolution,[status(thm)],[f831,f105])).
% 0.07/15.71 fof(f845,plain,(
% 0.07/15.71 ![X0,X1]: (eqangle(sK24_skl,sK25_skl,X0,X1,sK24_skl,sK25_skl,X0,X1))),
% 0.07/15.71 inference(resolution,[status(thm)],[f840,f189])).
% 0.07/15.71 fof(f1197,plain,(
% 0.07/15.71 ![X0,X1]: (eqangle(sK24_skl,sK25_skl,sK24_skl,sK25_skl,X0,X1,X0,X1))),
% 0.07/15.71 inference(resolution,[status(thm)],[f845,f144])).
% 0.07/15.71 fof(f1846,plain,(
% 0.07/15.71 ![X0]: (coll(sK24_skl,X0,sK25_skl)|cyclic(sK25_skl,sK25_skl,sK24_skl,X0))),
% 0.07/15.71 inference(resolution,[status(thm)],[f193,f1197])).
% 0.07/15.71 fof(f2011,plain,(
% 0.07/15.71 ![X0]: (~coll(sK24_skl,X0,sK25_skl)|cyclic(sK25_skl,sK25_skl,sK24_skl,X0))),
% 0.07/15.71 inference(resolution,[status(thm)],[f195,f1197])).
% 0.07/15.71 fof(f2051,plain,(
% 0.07/15.71 ![X0]: (cyclic(sK25_skl,sK25_skl,sK24_skl,X0))),
% 0.07/15.71 inference(forward_subsumption_resolution,[status(thm)],[f2011,f1846])).
% 0.07/15.71 fof(f2125,plain,(
% 0.07/15.71 ![X0,X1]: (~cyclic(sK25_skl,sK25_skl,sK24_skl,X0)|cyclic(sK25_skl,sK24_skl,X0,X1))),
% 0.07/15.71 inference(resolution,[status(thm)],[f2051,f136])).
% 0.07/15.71 fof(f2130,plain,(
% 0.07/15.71 ![X0,X1]: (cyclic(sK25_skl,sK24_skl,X0,X1))),
% 0.07/15.71 inference(forward_subsumption_resolution,[status(thm)],[f2125,f2051])).
% 0.07/15.71 fof(f2131,plain,(
% 0.07/15.71 ![X0,X1,X2]: (~cyclic(sK25_skl,sK24_skl,X0,X1)|cyclic(sK24_skl,X0,X1,X2))),
% 0.07/15.71 inference(resolution,[status(thm)],[f2130,f136])).
% 0.07/15.71 fof(f2136,plain,(
% 0.07/15.71 ![X0,X1,X2]: (cyclic(sK24_skl,X0,X1,X2))),
% 0.07/15.71 inference(forward_subsumption_resolution,[status(thm)],[f2131,f2130])).
% 0.07/15.71 fof(f2137,plain,(
% 0.07/15.71 ![X0,X1,X2,X3]: (~cyclic(sK24_skl,X0,X1,X2)|cyclic(X0,X1,X2,X3))),
% 0.07/15.71 inference(resolution,[status(thm)],[f2136,f136])).
% 0.07/15.71 fof(f2142,plain,(
% 0.07/15.71 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2))),
% 0.07/15.71 inference(backward_subsumption_resolution,[status(thm)],[f191,f2148])).
% 0.07/15.71 fof(f2147,plain,(
% 0.07/15.71 ![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))),
% 0.07/15.71 inference(backward_subsumption_resolution,[status(thm)],[f198,f2148])).
% 0.07/15.71 fof(f2148,plain,(
% 0.07/15.71 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3))),
% 0.07/15.71 inference(forward_subsumption_resolution,[status(thm)],[f2137,f2136])).
% 0.07/15.71 fof(f2149,plain,(
% 0.07/15.71 ![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))),
% 0.07/15.71 inference(forward_subsumption_resolution,[status(thm)],[f2147,f2148])).
% 0.07/15.71 fof(f2152,plain,(
% 0.07/15.71 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X1,X0,X3,X2,X3))),
% 0.07/15.71 inference(resolution,[status(thm)],[f2142,f144])).
% 0.07/15.71 fof(f2173,plain,(
% 0.07/15.71 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X0,X1,X3,X2,X3))),
% 0.07/15.71 inference(resolution,[status(thm)],[f2152,f138])).
% 0.07/15.71 fof(f2201,plain,(
% 0.07/15.71 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X1,X3,X0,X2,X3))),
% 0.07/15.71 inference(resolution,[status(thm)],[f2173,f142])).
% 0.07/15.71 fof(f2312,plain,(
% 0.07/15.71 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X1,X0,X3,X3,X2))),
% 0.07/15.71 inference(resolution,[status(thm)],[f2201,f140])).
% 0.07/15.71 fof(f2349,plain,(
% 0.07/15.71 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X0,X1,X3,X3,X2))),
% 0.07/15.71 inference(resolution,[status(thm)],[f2312,f138])).
% 0.07/15.71 fof(f2546,plain,(
% 0.07/15.71 ![X0,X1]: (~cyclic(X0,X1,X1,X1)|cong(X0,X1,X0,X1))),
% 0.07/15.71 inference(resolution,[status(thm)],[f2149,f2349])).
% 0.07/15.71 fof(f2691,plain,(
% 0.07/15.71 ![X0,X1]: (cong(X0,X1,X0,X1))),
% 0.07/15.71 inference(forward_subsumption_resolution,[status(thm)],[f2546,f2148])).
% 0.07/15.71 fof(f2873,plain,(
% 0.07/15.71 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X0,X0,X1,X2))),
% 0.07/15.71 inference(resolution,[status(thm)],[f232,f2691])).
% 0.07/15.71 fof(f2874,plain,(
% 0.07/15.71 ![X0,X1,X2]: (perp(X0,X0,X1,X2))),
% 0.07/15.71 inference(forward_subsumption_resolution,[status(thm)],[f2873,f2691])).
% 0.07/15.71 fof(f2880,plain,(
% 0.07/15.71 ![X0,X1,X2,X3,X4]: (~para(X0,X1,X2,X2)|perp(X0,X1,X3,X4))),
% 0.07/15.71 inference(resolution,[status(thm)],[f2874,f120])).
% 0.07/15.71 fof(f2881,plain,(
% 0.07/15.71 ![X0,X1,X2,X3,X4]: (~perp(X0,X1,X2,X2)|para(X0,X1,X3,X4))),
% 0.07/15.71 inference(resolution,[status(thm)],[f2874,f117])).
% 0.07/15.71 fof(f2883,plain,(
% 0.07/15.71 ![X0,X1,X2]: (perp(X0,X1,X2,X2))),
% 0.07/15.71 inference(resolution,[status(thm)],[f2874,f114])).
% 0.07/15.71 fof(f2885,plain,(
% 0.07/15.71 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3))),
% 0.07/15.71 inference(backward_subsumption_resolution,[status(thm)],[f2881,f2883])).
% 0.07/15.71 fof(f2900,plain,(
% 0.07/15.71 ![X0,X1,X2,X3]: (perp(X0,X1,X2,X3))),
% 0.07/15.71 inference(backward_subsumption_resolution,[status(thm)],[f2880,f2885])).
% 0.07/15.71 fof(f2913,plain,(
% 0.07/15.71 $false),
% 0.07/15.71 inference(backward_subsumption_resolution,[status(thm)],[f378,f2900])).
% 0.07/15.71 % SZS output end CNFRefutation for theBenchmark.p
% 0.07/15.71 % Elapsed time: 0.390699 seconds
% 0.07/15.71 % CPU time: 2.921679 seconds
% 0.07/15.71 % Total memory used: 127.675 MB
% 0.07/15.71 % Net memory used: 121.648 MB
%------------------------------------------------------------------------------