%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO657+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 : n015.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 2.68s 0.79s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO657+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
% 0.09/0.37 % Computer : n015.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 20 18:21:36 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.39 % Drodi V4.1.1
% 2.68/0.79 % Refutation found
% 2.68/0.79 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.68/0.79 % SZS output start CNFRefutation for theBenchmark
% 2.68/0.79 fof(f1,axiom,(
% 2.68/0.79 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 2.68/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.68/0.79 fof(f2,axiom,(
% 2.68/0.79 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 2.68/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.68/0.79 fof(f3,axiom,(
% 2.68/0.79 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 2.68/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.68/0.79 fof(f5,axiom,(
% 2.68/0.79 (! [A,B,C,D] :( para(A,B,C,D)=> para(C,D,A,B) ) )),
% 2.68/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.68/0.79 fof(f6,axiom,(
% 2.68/0.79 (! [A,B,C,D,E,F] :( ( para(A,B,C,D)& para(C,D,E,F) )=> para(A,B,E,F) ) )),
% 2.68/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.68/0.79 fof(f7,axiom,(
% 2.68/0.79 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(A,B,D,C) ) )),
% 2.68/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.68/0.79 fof(f9,axiom,(
% 2.68/0.79 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 2.68/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.68/0.79 fof(f14,axiom,(
% 2.68/0.79 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,B,D,C) ) )),
% 2.68/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.68/0.79 fof(f15,axiom,(
% 2.68/0.79 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,C,B,D) ) )),
% 2.68/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.68/0.79 fof(f17,axiom,(
% 2.68/0.79 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 2.68/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.68/0.79 fof(f20,axiom,(
% 2.68/0.79 (! [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) ) )),
% 2.68/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.68/0.79 fof(f21,axiom,(
% 2.68/0.79 (! [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) ) )),
% 2.68/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.68/0.79 fof(f40,axiom,(
% 2.68/0.79 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 2.68/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.68/0.79 fof(f41,axiom,(
% 2.68/0.79 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 2.68/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.68/0.79 fof(f43,axiom,(
% 2.68/0.79 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 2.68/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.68/0.79 fof(f44,axiom,(
% 2.68/0.79 (! [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) ) )),
% 2.68/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.68/0.79 fof(f53,axiom,(
% 2.68/0.79 (! [A,B,C,M] :( ( perp(A,B,B,C)& midp(M,A,C) )=> cong(A,M,B,M) ) )),
% 2.68/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.68/0.79 fof(f57,axiom,(
% 2.68/0.79 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 2.68/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.68/0.79 fof(f58,axiom,(
% 2.68/0.79 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q)& cyclic(A,B,P,Q) )=> perp(P,A,A,Q) ) )),
% 2.68/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.68/0.79 fof(f67,axiom,(
% 2.68/0.79 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 2.68/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.68/0.79 fof(f68,axiom,(
% 2.68/0.79 (! [A,B,C] :( ( cong(A,B,A,C)& coll(A,B,C) )=> midp(A,B,C) ) )),
% 2.68/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.68/0.79 fof(f74,axiom,(
% 2.68/0.79 (! [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) ) )),
% 2.68/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.68/0.79 fof(f75,axiom,(
% 2.68/0.79 (! [A,B,C,D,P,Q,U,V] :( ( eqangle(A,B,C,D,P,Q,U,V)& perp(P,Q,U,V) )=> perp(A,B,C,D) ) )),
% 2.68/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.68/0.79 fof(f95,conjecture,(
% 2.68/0.79 (! [A,B,C,D,E,F,G] :( ( coll(E,A,C)& para(A,B,G,E)& para(A,D,F,E)& coll(F,C,D)& coll(G,B,C) )=> para(B,D,G,F) ) )),
% 2.68/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.68/0.79 fof(f96,negated_conjecture,(
% 2.68/0.79 ~((! [A,B,C,D,E,F,G] :( ( coll(E,A,C)& para(A,B,G,E)& para(A,D,F,E)& coll(F,C,D)& coll(G,B,C) )=> para(B,D,G,F) ) ))),
% 2.68/0.79 inference(negated_conjecture,[status(cth)],[f95])).
% 2.68/0.79 fof(f97,plain,(
% 2.68/0.79 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 2.68/0.79 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 2.68/0.79 fof(f98,plain,(
% 2.68/0.79 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 2.68/0.79 inference(cnf_transformation,[status(thm)],[f97])).
% 2.68/0.79 fof(f99,plain,(
% 2.68/0.79 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 2.68/0.79 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 2.68/0.79 fof(f100,plain,(
% 2.68/0.79 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 2.68/0.79 inference(cnf_transformation,[status(thm)],[f99])).
% 2.68/0.79 fof(f101,plain,(
% 2.68/0.79 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 2.68/0.79 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 2.68/0.79 fof(f102,plain,(
% 2.68/0.79 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 2.68/0.79 inference(miniscoping,[status(thm)],[f101])).
% 2.68/0.79 fof(f103,plain,(
% 2.68/0.79 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 2.68/0.79 inference(cnf_transformation,[status(thm)],[f102])).
% 2.68/0.79 fof(f106,plain,(
% 2.68/0.79 ![A,B,C,D]: (~para(A,B,C,D)|para(C,D,A,B))),
% 2.68/0.79 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 2.68/0.79 fof(f107,plain,(
% 2.68/0.79 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X2,X3,X0,X1))),
% 2.68/0.79 inference(cnf_transformation,[status(thm)],[f106])).
% 2.68/0.79 fof(f108,plain,(
% 2.68/0.79 ![A,B,C,D,E,F]: ((~para(A,B,C,D)|~para(C,D,E,F))|para(A,B,E,F))),
% 2.68/0.79 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 2.68/0.79 fof(f109,plain,(
% 2.68/0.79 ![A,B,E,F]: ((![C,D]: (~para(A,B,C,D)|~para(C,D,E,F)))|para(A,B,E,F))),
% 2.68/0.79 inference(miniscoping,[status(thm)],[f108])).
% 2.68/0.79 fof(f110,plain,(
% 2.68/0.79 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|~para(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 2.68/0.79 inference(cnf_transformation,[status(thm)],[f109])).
% 2.68/0.79 fof(f111,plain,(
% 2.68/0.79 ![A,B,C,D]: (~perp(A,B,C,D)|perp(A,B,D,C))),
% 2.68/0.79 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 2.68/0.79 fof(f112,plain,(
% 2.68/0.79 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X0,X1,X3,X2))),
% 2.68/0.79 inference(cnf_transformation,[status(thm)],[f111])).
% 2.68/0.79 fof(f115,plain,(
% 2.68/0.79 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 2.68/0.79 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 2.68/0.79 fof(f116,plain,(
% 2.68/0.79 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 2.68/0.79 inference(miniscoping,[status(thm)],[f115])).
% 2.68/0.79 fof(f117,plain,(
% 2.68/0.79 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 2.68/0.79 inference(cnf_transformation,[status(thm)],[f116])).
% 2.68/0.79 fof(f128,plain,(
% 2.68/0.79 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,B,D,C))),
% 2.68/0.79 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 2.68/0.79 fof(f129,plain,(
% 2.68/0.79 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X1,X3,X2))),
% 2.68/0.79 inference(cnf_transformation,[status(thm)],[f128])).
% 2.68/0.79 fof(f130,plain,(
% 2.68/0.79 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,C,B,D))),
% 2.68/0.79 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 2.68/0.79 fof(f131,plain,(
% 2.68/0.79 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X2,X1,X3))),
% 2.68/0.79 inference(cnf_transformation,[status(thm)],[f130])).
% 2.68/0.79 fof(f134,plain,(
% 2.68/0.79 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 2.68/0.79 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 2.68/0.79 fof(f135,plain,(
% 2.68/0.79 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 2.68/0.79 inference(miniscoping,[status(thm)],[f134])).
% 2.68/0.79 fof(f136,plain,(
% 2.68/0.79 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 2.68/0.79 inference(cnf_transformation,[status(thm)],[f135])).
% 2.68/0.79 fof(f141,plain,(
% 2.68/0.79 ![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))),
% 2.68/0.79 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 2.68/0.79 fof(f142,plain,(
% 2.68/0.79 ![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))),
% 2.68/0.79 inference(cnf_transformation,[status(thm)],[f141])).
% 2.68/0.79 fof(f143,plain,(
% 2.68/0.79 ![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))),
% 2.68/0.79 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 2.68/0.79 fof(f144,plain,(
% 2.68/0.79 ![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))),
% 2.68/0.79 inference(cnf_transformation,[status(thm)],[f143])).
% 2.68/0.79 fof(f187,plain,(
% 2.68/0.79 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 2.68/0.79 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 2.68/0.79 fof(f188,plain,(
% 2.68/0.79 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 2.68/0.79 inference(miniscoping,[status(thm)],[f187])).
% 2.68/0.79 fof(f189,plain,(
% 2.68/0.79 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 2.68/0.79 inference(cnf_transformation,[status(thm)],[f188])).
% 2.68/0.79 fof(f190,plain,(
% 2.68/0.79 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 2.68/0.79 inference(pre_NNF_transformation,[status(thm)],[f41])).
% 2.68/0.79 fof(f191,plain,(
% 2.68/0.79 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 2.68/0.79 inference(cnf_transformation,[status(thm)],[f190])).
% 2.68/0.79 fof(f194,plain,(
% 2.68/0.79 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 2.68/0.79 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 2.68/0.79 fof(f195,plain,(
% 2.68/0.79 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 2.68/0.79 inference(cnf_transformation,[status(thm)],[f194])).
% 2.68/0.79 fof(f196,plain,(
% 2.68/0.79 ![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))),
% 2.68/0.79 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 2.68/0.79 fof(f197,plain,(
% 2.68/0.79 ![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))),
% 2.68/0.80 inference(miniscoping,[status(thm)],[f196])).
% 2.68/0.80 fof(f198,plain,(
% 2.68/0.80 ![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))),
% 2.68/0.80 inference(cnf_transformation,[status(thm)],[f197])).
% 2.68/0.80 fof(f220,plain,(
% 2.68/0.80 ![A,B,C,M]: ((~perp(A,B,B,C)|~midp(M,A,C))|cong(A,M,B,M))),
% 2.68/0.80 inference(pre_NNF_transformation,[status(thm)],[f53])).
% 2.68/0.80 fof(f221,plain,(
% 2.68/0.80 ![A,B,M]: ((![C]: (~perp(A,B,B,C)|~midp(M,A,C)))|cong(A,M,B,M))),
% 2.68/0.80 inference(miniscoping,[status(thm)],[f220])).
% 2.68/0.80 fof(f222,plain,(
% 2.68/0.80 ![X0,X1,X2,X3]: (~perp(X0,X1,X1,X2)|~midp(X3,X0,X2)|cong(X0,X3,X1,X3))),
% 2.68/0.80 inference(cnf_transformation,[status(thm)],[f221])).
% 2.68/0.80 fof(f231,plain,(
% 2.68/0.80 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 2.68/0.80 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 2.68/0.80 fof(f232,plain,(
% 2.68/0.80 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 2.68/0.80 inference(cnf_transformation,[status(thm)],[f231])).
% 2.68/0.80 fof(f233,plain,(
% 2.68/0.80 ![A,B,P,Q]: (((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q))|perp(P,A,A,Q))),
% 2.68/0.80 inference(pre_NNF_transformation,[status(thm)],[f58])).
% 2.68/0.80 fof(f234,plain,(
% 2.68/0.80 ![A,P,Q]: ((![B]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q)))|perp(P,A,A,Q))),
% 2.68/0.80 inference(miniscoping,[status(thm)],[f233])).
% 2.68/0.80 fof(f235,plain,(
% 2.68/0.80 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|~cyclic(X0,X2,X1,X3)|perp(X1,X0,X0,X3))),
% 2.68/0.80 inference(cnf_transformation,[status(thm)],[f234])).
% 2.68/0.80 fof(f255,plain,(
% 2.68/0.80 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 2.68/0.80 inference(pre_NNF_transformation,[status(thm)],[f67])).
% 2.68/0.80 fof(f256,plain,(
% 2.68/0.80 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 2.68/0.80 inference(cnf_transformation,[status(thm)],[f255])).
% 2.68/0.80 fof(f257,plain,(
% 2.68/0.80 ![A,B,C]: ((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))),
% 2.68/0.80 inference(pre_NNF_transformation,[status(thm)],[f68])).
% 2.68/0.80 fof(f258,plain,(
% 2.68/0.80 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|~coll(X0,X1,X2)|midp(X0,X1,X2))),
% 2.68/0.80 inference(cnf_transformation,[status(thm)],[f257])).
% 2.68/0.80 fof(f269,plain,(
% 2.68/0.80 ![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))),
% 2.68/0.80 inference(pre_NNF_transformation,[status(thm)],[f74])).
% 2.68/0.80 fof(f270,plain,(
% 2.68/0.80 ![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))),
% 2.68/0.80 inference(miniscoping,[status(thm)],[f269])).
% 2.68/0.80 fof(f271,plain,(
% 2.68/0.80 ![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))),
% 2.68/0.80 inference(cnf_transformation,[status(thm)],[f270])).
% 2.68/0.80 fof(f272,plain,(
% 2.68/0.80 ![A,B,C,D,P,Q,U,V]: ((~eqangle(A,B,C,D,P,Q,U,V)|~perp(P,Q,U,V))|perp(A,B,C,D))),
% 2.68/0.80 inference(pre_NNF_transformation,[status(thm)],[f75])).
% 2.68/0.80 fof(f273,plain,(
% 2.68/0.80 ![A,B,C,D]: ((![P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|~perp(P,Q,U,V)))|perp(A,B,C,D))),
% 2.68/0.80 inference(miniscoping,[status(thm)],[f272])).
% 2.68/0.80 fof(f274,plain,(
% 2.68/0.80 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|~perp(X4,X5,X6,X7)|perp(X0,X1,X2,X3))),
% 2.68/0.80 inference(cnf_transformation,[status(thm)],[f273])).
% 2.68/0.80 fof(f369,plain,(
% 2.68/0.80 (?[A,B,C,D,E,F,G]: (((((coll(E,A,C)¶(A,B,G,E))¶(A,D,F,E))&coll(F,C,D))&coll(G,B,C))&~para(B,D,G,F)))),
% 2.68/0.80 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 2.68/0.80 fof(f370,plain,(
% 2.68/0.80 ?[B,D,F,G]: ((?[C]: (((?[A,E]: ((coll(E,A,C)¶(A,B,G,E))¶(A,D,F,E)))&coll(F,C,D))&coll(G,B,C)))&~para(B,D,G,F))),
% 2.68/0.80 inference(miniscoping,[status(thm)],[f369])).
% 2.68/0.80 fof(f371,plain,(
% 2.68/0.80 (((((coll(sK26_skl,sK25_skl,sK24_skl)¶(sK25_skl,sK20_skl,sK23_skl,sK26_skl))¶(sK25_skl,sK21_skl,sK22_skl,sK26_skl))&coll(sK22_skl,sK24_skl,sK21_skl))&coll(sK23_skl,sK20_skl,sK24_skl))&~para(sK20_skl,sK21_skl,sK23_skl,sK22_skl))),
% 2.68/0.80 inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl,sK21_skl,sK22_skl,sK23_skl,sK24_skl,sK25_skl,sK26_skl]),skolemize(B,sK20_skl),skolemize(D,sK21_skl),skolemize(F,sK22_skl),skolemize(G,sK23_skl),skolemize(C,sK24_skl),skolemize(A,sK25_skl),skolemize(E,sK26_skl)],[f370])).
% 2.68/0.80 fof(f373,plain,(
% 2.68/0.80 para(sK25_skl,sK20_skl,sK23_skl,sK26_skl)),
% 2.68/0.80 inference(cnf_transformation,[status(thm)],[f371])).
% 2.68/0.80 fof(f374,plain,(
% 2.68/0.80 para(sK25_skl,sK21_skl,sK22_skl,sK26_skl)),
% 2.68/0.80 inference(cnf_transformation,[status(thm)],[f371])).
% 2.68/0.80 fof(f375,plain,(
% 2.68/0.80 coll(sK22_skl,sK24_skl,sK21_skl)),
% 2.68/0.80 inference(cnf_transformation,[status(thm)],[f371])).
% 2.68/0.80 fof(f376,plain,(
% 2.68/0.80 coll(sK23_skl,sK20_skl,sK24_skl)),
% 2.68/0.80 inference(cnf_transformation,[status(thm)],[f371])).
% 2.68/0.80 fof(f377,plain,(
% 2.68/0.80 ~para(sK20_skl,sK21_skl,sK23_skl,sK22_skl)),
% 2.68/0.80 inference(cnf_transformation,[status(thm)],[f371])).
% 2.68/0.80 fof(f378,plain,(
% 2.68/0.80 coll(sK23_skl,sK24_skl,sK20_skl)),
% 2.68/0.80 inference(resolution,[status(thm)],[f98,f376])).
% 2.68/0.80 fof(f382,plain,(
% 2.68/0.80 coll(sK24_skl,sK22_skl,sK21_skl)),
% 2.68/0.80 inference(resolution,[status(thm)],[f100,f375])).
% 2.68/0.80 fof(f385,plain,(
% 2.68/0.80 ![X0]: (~coll(sK22_skl,sK24_skl,X0)|coll(sK21_skl,X0,sK22_skl))),
% 2.68/0.80 inference(resolution,[status(thm)],[f103,f375])).
% 2.68/0.80 fof(f390,plain,(
% 2.68/0.80 coll(sK24_skl,sK23_skl,sK20_skl)),
% 2.68/0.80 inference(resolution,[status(thm)],[f378,f100])).
% 2.68/0.80 fof(f398,plain,(
% 2.68/0.80 para(sK22_skl,sK26_skl,sK25_skl,sK21_skl)),
% 2.68/0.80 inference(resolution,[status(thm)],[f107,f374])).
% 2.68/0.80 fof(f399,plain,(
% 2.68/0.80 para(sK23_skl,sK26_skl,sK25_skl,sK20_skl)),
% 2.68/0.80 inference(resolution,[status(thm)],[f107,f373])).
% 2.68/0.80 fof(f400,plain,(
% 2.68/0.80 ![X0,X1]: (~para(sK22_skl,sK26_skl,X0,X1)|para(sK25_skl,sK21_skl,X0,X1))),
% 2.68/0.80 inference(resolution,[status(thm)],[f110,f374])).
% 2.68/0.80 fof(f401,plain,(
% 2.68/0.80 ![X0,X1]: (~para(sK23_skl,sK26_skl,X0,X1)|para(sK25_skl,sK20_skl,X0,X1))),
% 2.68/0.80 inference(resolution,[status(thm)],[f110,f373])).
% 2.68/0.80 fof(f409,plain,(
% 2.68/0.80 coll(sK24_skl,sK21_skl,sK22_skl)),
% 2.68/0.80 inference(resolution,[status(thm)],[f382,f98])).
% 2.68/0.80 fof(f415,plain,(
% 2.68/0.80 coll(sK24_skl,sK20_skl,sK23_skl)),
% 2.68/0.80 inference(resolution,[status(thm)],[f390,f98])).
% 2.68/0.80 fof(f416,plain,(
% 2.68/0.80 ![X0,X1]: (eqangle(sK25_skl,sK21_skl,X0,X1,sK22_skl,sK26_skl,X0,X1))),
% 2.68/0.80 inference(resolution,[status(thm)],[f189,f374])).
% 2.68/0.80 fof(f417,plain,(
% 2.68/0.80 ![X0,X1]: (eqangle(sK25_skl,sK20_skl,X0,X1,sK23_skl,sK26_skl,X0,X1))),
% 2.68/0.80 inference(resolution,[status(thm)],[f189,f373])).
% 2.68/0.80 fof(f431,plain,(
% 2.68/0.80 coll(sK21_skl,sK21_skl,sK22_skl)),
% 2.68/0.80 inference(resolution,[status(thm)],[f385,f375])).
% 2.68/0.80 fof(f463,plain,(
% 2.68/0.80 ![X0]: (~coll(sK21_skl,sK21_skl,X0)|coll(sK22_skl,X0,sK21_skl))),
% 2.68/0.80 inference(resolution,[status(thm)],[f431,f103])).
% 2.68/0.80 fof(f471,plain,(
% 2.68/0.80 para(sK25_skl,sK21_skl,sK25_skl,sK21_skl)),
% 2.68/0.80 inference(resolution,[status(thm)],[f400,f398])).
% 2.68/0.80 fof(f472,plain,(
% 2.68/0.80 para(sK25_skl,sK20_skl,sK25_skl,sK20_skl)),
% 2.68/0.80 inference(resolution,[status(thm)],[f401,f399])).
% 2.68/0.80 fof(f483,plain,(
% 2.68/0.80 ![X0,X1]: (eqangle(sK25_skl,sK21_skl,sK22_skl,sK26_skl,X0,X1,X0,X1))),
% 2.68/0.80 inference(resolution,[status(thm)],[f416,f144])).
% 2.68/0.80 fof(f496,plain,(
% 2.68/0.80 ![X0,X1]: (eqangle(sK25_skl,sK20_skl,sK23_skl,sK26_skl,X0,X1,X0,X1))),
% 2.68/0.80 inference(resolution,[status(thm)],[f417,f144])).
% 2.68/0.80 fof(f640,plain,(
% 2.68/0.80 coll(sK25_skl,sK21_skl,sK21_skl)),
% 2.68/0.80 inference(resolution,[status(thm)],[f471,f256])).
% 2.68/0.80 fof(f654,plain,(
% 2.68/0.80 ![X0,X1]: (eqangle(sK25_skl,sK20_skl,X0,X1,sK25_skl,sK20_skl,X0,X1))),
% 2.68/0.80 inference(resolution,[status(thm)],[f472,f189])).
% 2.68/0.80 fof(f662,plain,(
% 2.68/0.80 ![X0,X1]: (eqangle(X0,X1,X0,X1,sK25_skl,sK21_skl,sK22_skl,sK26_skl))),
% 2.68/0.80 inference(resolution,[status(thm)],[f483,f142])).
% 2.68/0.80 fof(f665,plain,(
% 2.68/0.80 ![X0,X1]: (~para(X0,X1,X0,X1)|para(sK25_skl,sK21_skl,sK22_skl,sK26_skl))),
% 2.68/0.80 inference(resolution,[status(thm)],[f483,f271])).
% 2.68/0.80 fof(f667,definition,(
% 2.68/0.80 ![X0,X1]: (sQ0_spl <=> (~para(X0,X1,X0,X1)))),
% 2.68/0.80 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 2.68/0.80 fof(f668,plain,(
% 2.68/0.80 ![X0,X1]: (~para(X0,X1,X0,X1)|~sQ0_spl)),
% 2.68/0.80 inference(component_clause,[status(thm)],[f667])).
% 2.68/0.80 fof(f670,definition,(
% 2.68/0.80 sQ1_spl <=> (para(sK25_skl,sK21_skl,sK22_skl,sK26_skl))),
% 2.68/0.80 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 2.68/0.80 fof(f673,plain,(
% 2.68/0.80 sQ0_spl|sQ1_spl),
% 2.68/0.80 inference(split_clause,[status(thm)],[f665,f667,f670])).
% 2.68/0.80 fof(f674,plain,(
% 2.68/0.80 $false|~sQ0_spl),
% 2.68/0.80 inference(backward_subsumption_resolution,[status(thm)],[f471,f668])).
% 2.68/0.80 fof(f676,plain,(
% 2.68/0.80 ~sQ0_spl),
% 2.68/0.80 inference(contradiction_clause,[status(thm)],[f674])).
% 2.68/0.80 fof(f704,plain,(
% 2.68/0.80 coll(sK21_skl,sK25_skl,sK21_skl)),
% 2.68/0.80 inference(resolution,[status(thm)],[f640,f100])).
% 2.68/0.80 fof(f710,plain,(
% 2.68/0.80 ![X0,X1]: (eqangle(X0,X1,X0,X1,sK25_skl,sK20_skl,sK23_skl,sK26_skl))),
% 2.68/0.80 inference(resolution,[status(thm)],[f496,f142])).
% 2.68/0.80 fof(f735,plain,(
% 2.68/0.80 coll(sK21_skl,sK21_skl,sK25_skl)),
% 2.68/0.80 inference(resolution,[status(thm)],[f704,f98])).
% 2.68/0.80 fof(f789,plain,(
% 2.68/0.80 ![X0,X1]: (~perp(X0,X1,X0,X1)|perp(sK25_skl,sK20_skl,sK23_skl,sK26_skl))),
% 2.68/0.80 inference(resolution,[status(thm)],[f274,f496])).
% 2.68/0.80 fof(f797,definition,(
% 2.68/0.80 ![X0,X1]: (sQ3_spl <=> (~perp(X0,X1,X0,X1)))),
% 2.68/0.80 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 2.68/0.80 fof(f798,plain,(
% 2.68/0.80 ![X0,X1]: (~perp(X0,X1,X0,X1)|~sQ3_spl)),
% 2.68/0.80 inference(component_clause,[status(thm)],[f797])).
% 2.68/0.80 fof(f800,definition,(
% 2.68/0.80 sQ4_spl <=> (perp(sK25_skl,sK20_skl,sK23_skl,sK26_skl))),
% 2.68/0.80 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 2.68/0.80 fof(f803,plain,(
% 2.68/0.80 sQ3_spl|sQ4_spl),
% 2.68/0.80 inference(split_clause,[status(thm)],[f789,f797,f800])).
% 2.68/0.80 fof(f810,definition,(
% 2.68/0.80 sQ6_spl <=> (coll(sK25_skl,sK21_skl,sK22_skl))),
% 2.68/0.80 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 2.68/0.80 fof(f812,plain,(
% 2.68/0.80 ~coll(sK25_skl,sK21_skl,sK22_skl)|sQ6_spl),
% 2.68/0.80 inference(component_clause,[status(thm)],[f810])).
% 2.68/0.80 fof(f817,definition,(
% 2.68/0.80 sQ8_spl <=> (coll(sK24_skl,sK21_skl,sK22_skl))),
% 2.68/0.80 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 2.68/0.80 fof(f819,plain,(
% 2.68/0.80 ~coll(sK24_skl,sK21_skl,sK22_skl)|sQ8_spl),
% 2.68/0.80 inference(component_clause,[status(thm)],[f817])).
% 2.68/0.80 fof(f824,plain,(
% 2.68/0.80 $false|sQ8_spl),
% 2.68/0.80 inference(forward_subsumption_resolution,[status(thm)],[f819,f409])).
% 2.68/0.80 fof(f825,plain,(
% 2.68/0.80 sQ8_spl),
% 2.68/0.80 inference(contradiction_clause,[status(thm)],[f824])).
% 2.68/0.80 fof(f835,definition,(
% 2.68/0.80 sQ12_spl <=> (coll(sK24_skl,sK20_skl,sK23_skl))),
% 2.68/0.80 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 2.68/0.80 fof(f837,plain,(
% 2.68/0.80 ~coll(sK24_skl,sK20_skl,sK23_skl)|sQ12_spl),
% 2.68/0.80 inference(component_clause,[status(thm)],[f835])).
% 2.68/0.80 fof(f842,plain,(
% 2.68/0.80 $false|sQ12_spl),
% 2.68/0.80 inference(forward_subsumption_resolution,[status(thm)],[f837,f415])).
% 2.68/0.80 fof(f843,plain,(
% 2.68/0.80 sQ12_spl),
% 2.68/0.80 inference(contradiction_clause,[status(thm)],[f842])).
% 2.68/0.80 fof(f894,plain,(
% 2.68/0.80 coll(sK22_skl,sK25_skl,sK21_skl)),
% 2.68/0.80 inference(resolution,[status(thm)],[f463,f735])).
% 2.68/0.80 fof(f977,plain,(
% 2.68/0.80 coll(sK25_skl,sK22_skl,sK21_skl)),
% 2.68/0.80 inference(resolution,[status(thm)],[f894,f100])).
% 2.68/0.80 fof(f1200,plain,(
% 2.68/0.80 coll(sK25_skl,sK21_skl,sK22_skl)),
% 2.68/0.80 inference(resolution,[status(thm)],[f977,f98])).
% 2.68/0.80 fof(f1201,plain,(
% 2.68/0.80 $false|sQ6_spl),
% 2.68/0.80 inference(forward_subsumption_resolution,[status(thm)],[f1200,f812])).
% 2.68/0.80 fof(f1202,plain,(
% 2.68/0.80 sQ6_spl),
% 2.68/0.80 inference(contradiction_clause,[status(thm)],[f1201])).
% 2.68/0.80 fof(f1545,plain,(
% 2.68/0.80 ![X0,X1]: (~para(sK25_skl,sK21_skl,sK22_skl,sK26_skl)|para(X0,X1,X0,X1))),
% 2.68/0.80 inference(resolution,[status(thm)],[f662,f271])).
% 2.68/0.80 fof(f1547,definition,(
% 2.68/0.80 ![X0,X1]: (sQ52_spl <=> (perp(X0,X1,X0,X1)))),
% 2.68/0.80 introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition])).
% 2.68/0.80 fof(f1548,plain,(
% 2.68/0.80 ![X0,X1]: (perp(X0,X1,X0,X1)|~sQ52_spl)),
% 2.68/0.80 inference(component_clause,[status(thm)],[f1547])).
% 2.68/0.80 fof(f1551,definition,(
% 2.68/0.80 ![X0,X1]: (sQ53_spl <=> (para(X0,X1,X0,X1)))),
% 2.68/0.80 introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition])).
% 2.68/0.80 fof(f1552,plain,(
% 2.68/0.80 ![X0,X1]: (para(X0,X1,X0,X1)|~sQ53_spl)),
% 2.68/0.80 inference(component_clause,[status(thm)],[f1551])).
% 2.68/0.80 fof(f1554,plain,(
% 2.68/0.80 ~sQ1_spl|sQ53_spl),
% 2.68/0.80 inference(split_clause,[status(thm)],[f1545,f670,f1551])).
% 2.68/0.80 fof(f1570,plain,(
% 2.68/0.80 ![X0,X1]: (coll(X0,X1,X1)|~sQ53_spl)),
% 2.68/0.80 inference(resolution,[status(thm)],[f1552,f256])).
% 2.68/0.80 fof(f1641,plain,(
% 2.68/0.80 ![X0,X1]: (coll(X0,X1,X0)|~sQ53_spl)),
% 2.68/0.80 inference(resolution,[status(thm)],[f1570,f100])).
% 2.68/0.80 fof(f1681,plain,(
% 2.68/0.80 ![X0,X1]: (coll(X0,X0,X1)|~sQ53_spl)),
% 2.68/0.80 inference(resolution,[status(thm)],[f1641,f98])).
% 2.68/0.80 fof(f1828,plain,(
% 2.68/0.80 ![X0,X1,X2]: (~coll(X0,X0,X1)|coll(X2,X1,X0)|~sQ53_spl)),
% 2.68/0.80 inference(resolution,[status(thm)],[f1681,f103])).
% 2.68/0.80 fof(f1897,plain,(
% 2.68/0.80 ![X0,X1,X2]: (coll(X0,X1,X2)|~sQ53_spl)),
% 2.68/0.80 inference(forward_subsumption_resolution,[status(thm)],[f1828,f1681])).
% 2.68/0.80 fof(f1906,plain,(
% 2.68/0.80 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|midp(X0,X1,X2)|~sQ53_spl)),
% 2.68/0.80 inference(backward_subsumption_resolution,[status(thm)],[f258,f1897])).
% 2.68/0.80 fof(f1911,plain,(
% 2.68/0.80 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|cyclic(X1,X2,X0,X3)|~sQ53_spl)),
% 2.68/0.80 inference(backward_subsumption_resolution,[status(thm)],[f195,f1897])).
% 2.68/0.80 fof(f1955,plain,(
% 2.68/0.80 ![X0]: (cyclic(sK20_skl,X0,sK25_skl,sK25_skl)|~sQ53_spl)),
% 2.68/0.80 inference(resolution,[status(thm)],[f1911,f654])).
% 2.68/0.80 fof(f2153,plain,(
% 2.68/0.80 ![X0,X1]: (~perp(sK25_skl,sK20_skl,sK23_skl,sK26_skl)|perp(X0,X1,X0,X1))),
% 2.68/0.80 inference(resolution,[status(thm)],[f710,f274])).
% 2.68/0.80 fof(f2161,plain,(
% 2.68/0.80 ~sQ4_spl|sQ52_spl),
% 2.68/0.80 inference(split_clause,[status(thm)],[f2153,f800,f1547])).
% 2.68/0.80 fof(f2182,plain,(
% 2.68/0.80 ![X0,X1]: (perp(X0,X1,X1,X0)|~sQ52_spl)),
% 2.68/0.80 inference(resolution,[status(thm)],[f1548,f112])).
% 2.68/0.80 fof(f2201,plain,(
% 2.68/0.80 ![X0,X1,X2]: (~midp(X0,X1,X1)|cong(X1,X0,X2,X0)|~sQ52_spl)),
% 2.68/0.80 inference(resolution,[status(thm)],[f2182,f222])).
% 2.68/0.80 fof(f2703,plain,(
% 2.68/0.80 ![X0]: (cyclic(sK20_skl,sK25_skl,X0,sK25_skl)|~sQ53_spl)),
% 2.68/0.80 inference(resolution,[status(thm)],[f1955,f131])).
% 2.68/0.80 fof(f2743,plain,(
% 2.68/0.80 ![X0]: (cyclic(sK20_skl,sK25_skl,sK25_skl,X0)|~sQ53_spl)),
% 2.68/0.80 inference(resolution,[status(thm)],[f2703,f129])).
% 2.68/0.80 fof(f2814,plain,(
% 2.68/0.80 ![X0,X1]: (~cyclic(sK20_skl,sK25_skl,sK25_skl,X0)|cyclic(sK25_skl,sK25_skl,X1,X0)|~sQ53_spl)),
% 2.68/0.80 inference(resolution,[status(thm)],[f2743,f136])).
% 2.68/0.80 fof(f2825,plain,(
% 2.68/0.80 ![X0,X1]: (cyclic(sK25_skl,sK25_skl,X0,X1)|~sQ53_spl)),
% 2.68/0.80 inference(forward_subsumption_resolution,[status(thm)],[f2814,f2743])).
% 2.68/0.80 fof(f2829,plain,(
% 2.68/0.80 ![X0,X1,X2]: (~cyclic(sK25_skl,sK25_skl,X0,X1)|cyclic(sK25_skl,X0,X2,X1)|~sQ53_spl)),
% 2.68/0.80 inference(resolution,[status(thm)],[f2825,f136])).
% 2.68/0.80 fof(f2840,plain,(
% 2.68/0.80 ![X0,X1,X2]: (cyclic(sK25_skl,X0,X1,X2)|~sQ53_spl)),
% 2.68/0.80 inference(forward_subsumption_resolution,[status(thm)],[f2829,f2825])).
% 2.68/0.80 fof(f2874,plain,(
% 2.68/0.80 ![X0,X1,X2,X3]: (~cyclic(sK25_skl,X0,X1,X2)|cyclic(X0,X1,X3,X2)|~sQ53_spl)),
% 2.68/0.80 inference(resolution,[status(thm)],[f2840,f136])).
% 2.68/0.80 fof(f2878,plain,(
% 2.68/0.80 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3)|~sQ53_spl)),
% 2.68/0.80 inference(forward_subsumption_resolution,[status(thm)],[f2874,f2840])).
% 2.68/0.80 fof(f2880,plain,(
% 2.68/0.80 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X1,X0,X0,X3)|~sQ53_spl)),
% 2.68/0.80 inference(backward_subsumption_resolution,[status(thm)],[f235,f2878])).
% 2.68/0.80 fof(f2881,plain,(
% 2.68/0.80 ![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)|~sQ53_spl)),
% 2.68/0.80 inference(backward_subsumption_resolution,[status(thm)],[f198,f2878])).
% 2.68/0.80 fof(f2884,plain,(
% 2.68/0.80 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~sQ53_spl)),
% 2.68/0.80 inference(backward_subsumption_resolution,[status(thm)],[f191,f2878])).
% 2.68/0.80 fof(f2885,plain,(
% 2.68/0.80 ![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)|~sQ53_spl)),
% 2.68/0.80 inference(forward_subsumption_resolution,[status(thm)],[f2881,f2878])).
% 2.68/0.80 fof(f2886,plain,(
% 2.68/0.80 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X0,X2,X3,X4,X3,X5)|cong(X1,X2,X4,X5)|~sQ53_spl)),
% 2.68/0.80 inference(forward_subsumption_resolution,[status(thm)],[f2885,f2878])).
% 2.68/0.80 fof(f3006,plain,(
% 2.68/0.80 ![X0,X1]: (cong(X0,X1,X0,X1)|~sQ53_spl)),
% 2.68/0.80 inference(resolution,[status(thm)],[f2884,f2886])).
% 2.68/0.80 fof(f3019,plain,(
% 2.68/0.80 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X2,X0,X0,X1)|~sQ53_spl)),
% 2.68/0.80 inference(resolution,[status(thm)],[f3006,f2880])).
% 2.68/0.80 fof(f3023,plain,(
% 2.68/0.80 ![X0,X1]: (midp(X0,X1,X1)|~sQ53_spl)),
% 2.68/0.80 inference(resolution,[status(thm)],[f3006,f1906])).
% 2.68/0.80 fof(f3031,plain,(
% 2.68/0.80 ![X0,X1,X2]: (perp(X0,X1,X1,X2)|~sQ53_spl)),
% 2.68/0.80 inference(forward_subsumption_resolution,[status(thm)],[f3019,f3006])).
% 2.68/0.80 fof(f3085,plain,(
% 2.68/0.80 $false|~sQ53_spl|~sQ3_spl),
% 2.68/0.80 inference(resolution,[status(thm)],[f3031,f798])).
% 2.68/0.80 fof(f3091,plain,(
% 2.68/0.80 ~sQ53_spl|~sQ3_spl),
% 2.68/0.80 inference(contradiction_clause,[status(thm)],[f3085])).
% 2.68/0.80 fof(f3094,plain,(
% 2.68/0.80 ![X0,X1,X2]: (cong(X0,X1,X2,X1)|~sQ53_spl|~sQ52_spl)),
% 2.68/0.80 inference(forward_subsumption_resolution,[status(thm)],[f2201,f3023])).
% 2.68/0.80 fof(f3353,plain,(
% 2.68/0.80 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|perp(X0,X2,X1,X3)|~sQ53_spl|~sQ52_spl)),
% 2.68/0.80 inference(backward_subsumption_resolution,[status(thm)],[f232,f3094])).
% 2.68/0.80 fof(f3364,plain,(
% 2.68/0.80 ![X0,X1,X2,X3]: (perp(X0,X1,X2,X3)|~sQ53_spl|~sQ52_spl)),
% 2.68/0.80 inference(forward_subsumption_resolution,[status(thm)],[f3353,f3094])).
% 2.68/0.80 fof(f3388,plain,(
% 2.68/0.80 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|para(X0,X1,X4,X5)|~sQ53_spl|~sQ52_spl)),
% 2.68/0.80 inference(backward_subsumption_resolution,[status(thm)],[f117,f3364])).
% 2.68/0.80 fof(f3391,plain,(
% 2.68/0.80 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3)|~sQ53_spl|~sQ52_spl)),
% 2.68/0.80 inference(forward_subsumption_resolution,[status(thm)],[f3388,f3364])).
% 2.68/0.80 fof(f3397,plain,(
% 2.68/0.80 $false|~sQ53_spl|~sQ52_spl),
% 2.68/0.80 inference(backward_subsumption_resolution,[status(thm)],[f377,f3391])).
% 2.68/0.80 fof(f3403,plain,(
% 2.68/0.80 ~sQ53_spl|~sQ52_spl),
% 2.68/0.80 inference(contradiction_clause,[status(thm)],[f3397])).
% 2.68/0.80 fof(f3404,plain,(
% 2.68/0.80 $false),
% 2.68/0.80 inference(sat_refutation,[status(thm)],[f673,f676,f803,f825,f843,f1202,f1554,f2161,f3091,f3403])).
% 2.68/0.80 % SZS output end CNFRefutation for theBenchmark.p
% 2.68/0.82 % Elapsed time: 0.428352 seconds
% 2.68/0.82 % CPU time: 3.099056 seconds
% 2.68/0.82 % Total memory used: 111.705 MB
% 2.68/0.82 % Net memory used: 107.899 MB
%------------------------------------------------------------------------------