%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO607+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 12:26:42 PM UTC 2026
% Result : Theorem 1.36s 0.61s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO607+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 17:56:03 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.38 % Drodi V4.1.1
% 1.36/0.61 % Refutation found
% 1.36/0.61 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.36/0.61 % SZS output start CNFRefutation for theBenchmark
% 1.36/0.61 fof(f1,axiom,(
% 1.36/0.61 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 1.36/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.36/0.61 fof(f2,axiom,(
% 1.36/0.61 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 1.36/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.36/0.61 fof(f3,axiom,(
% 1.36/0.61 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 1.36/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.36/0.61 fof(f4,axiom,(
% 1.36/0.61 (! [A,B,C,D] :( para(A,B,C,D)=> para(A,B,D,C) ) )),
% 1.36/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.36/0.61 fof(f7,axiom,(
% 1.36/0.61 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(A,B,D,C) ) )),
% 1.36/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.36/0.61 fof(f8,axiom,(
% 1.36/0.61 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 1.36/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.36/0.61 fof(f9,axiom,(
% 1.36/0.61 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 1.36/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.36/0.62 fof(f11,axiom,(
% 1.36/0.62 (! [A,B,M] :( midp(M,B,A)=> midp(M,A,B) ) )),
% 1.36/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.36/0.62 fof(f12,axiom,(
% 1.36/0.62 (! [A,B,C,O] :( ( cong(O,A,O,B)& cong(O,A,O,C) )=> circle(O,A,B,C) ) )),
% 1.36/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.36/0.62 fof(f14,axiom,(
% 1.36/0.62 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,B,D,C) ) )),
% 1.36/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.36/0.62 fof(f15,axiom,(
% 1.36/0.62 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,C,B,D) ) )),
% 1.36/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.36/0.62 fof(f16,axiom,(
% 1.36/0.62 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(B,A,C,D) ) )),
% 1.36/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.36/0.62 fof(f17,axiom,(
% 1.36/0.62 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 1.36/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.36/0.62 fof(f19,axiom,(
% 1.36/0.62 (! [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) ) )),
% 1.36/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.36/0.62 fof(f23,axiom,(
% 1.36/0.62 (! [A,B,C,D] :( cong(A,B,C,D)=> cong(A,B,D,C) ) )),
% 1.36/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.36/0.62 fof(f24,axiom,(
% 1.36/0.62 (! [A,B,C,D] :( cong(A,B,C,D)=> cong(C,D,A,B) ) )),
% 1.36/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.36/0.62 fof(f39,axiom,(
% 1.36/0.62 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 1.36/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.36/0.62 fof(f40,axiom,(
% 1.36/0.62 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 1.36/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.36/0.62 fof(f43,axiom,(
% 1.36/0.62 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 1.36/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.36/0.62 fof(f53,axiom,(
% 1.36/0.62 (! [A,B,C,M] :( ( perp(A,B,B,C)& midp(M,A,C) )=> cong(A,M,B,M) ) )),
% 1.36/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.36/0.62 fof(f54,axiom,(
% 1.36/0.62 (! [A,B,C,O] :( ( circle(O,A,B,C)& coll(O,A,C) )=> perp(A,B,B,C) ) )),
% 1.36/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.36/0.62 fof(f58,axiom,(
% 1.36/0.62 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q)& cyclic(A,B,P,Q) )=> perp(P,A,A,Q) ) )),
% 1.36/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.36/0.62 fof(f65,axiom,(
% 1.36/0.62 (! [A,B,C,D,M] :( ( midp(M,A,B)& para(A,C,B,D)& para(A,D,B,C) )=> midp(M,C,D) ) )),
% 1.36/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.36/0.62 fof(f67,axiom,(
% 1.36/0.62 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 1.36/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.36/0.62 fof(f68,axiom,(
% 1.36/0.62 (! [A,B,C] :( ( cong(A,B,A,C)& coll(A,B,C) )=> midp(A,B,C) ) )),
% 1.36/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.36/0.62 fof(f69,axiom,(
% 1.36/0.62 (! [A,B,C] :( midp(A,B,C)=> cong(A,B,A,C) ) )),
% 1.36/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.36/0.62 fof(f70,axiom,(
% 1.36/0.62 (! [A,B,C] :( midp(A,B,C)=> coll(A,B,C) ) )),
% 1.36/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.36/0.62 fof(f95,conjecture,(
% 1.36/0.62 (! [A,B,C,D,E,F] :( ( midp(C,B,A)& perp(D,A,D,B)& circle(E,A,C,D)& circle(F,B,D,C) )=> perp(E,D,D,F) ) )),
% 1.36/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.36/0.62 fof(f96,negated_conjecture,(
% 1.36/0.62 ~((! [A,B,C,D,E,F] :( ( midp(C,B,A)& perp(D,A,D,B)& circle(E,A,C,D)& circle(F,B,D,C) )=> perp(E,D,D,F) ) ))),
% 1.36/0.62 inference(negated_conjecture,[status(cth)],[f95])).
% 1.36/0.62 fof(f97,plain,(
% 1.36/0.62 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 1.36/0.62 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 1.36/0.62 fof(f98,plain,(
% 1.36/0.62 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 1.36/0.62 inference(cnf_transformation,[status(thm)],[f97])).
% 1.36/0.62 fof(f99,plain,(
% 1.36/0.62 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 1.36/0.62 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 1.36/0.62 fof(f100,plain,(
% 1.36/0.62 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 1.36/0.62 inference(cnf_transformation,[status(thm)],[f99])).
% 1.36/0.62 fof(f101,plain,(
% 1.36/0.62 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 1.36/0.62 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 1.36/0.62 fof(f102,plain,(
% 1.36/0.62 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 1.36/0.62 inference(miniscoping,[status(thm)],[f101])).
% 1.36/0.62 fof(f103,plain,(
% 1.36/0.62 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 1.36/0.62 inference(cnf_transformation,[status(thm)],[f102])).
% 1.36/0.62 fof(f104,plain,(
% 1.36/0.62 ![A,B,C,D]: (~para(A,B,C,D)|para(A,B,D,C))),
% 1.36/0.62 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 1.36/0.62 fof(f105,plain,(
% 1.36/0.62 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X0,X1,X3,X2))),
% 1.36/0.62 inference(cnf_transformation,[status(thm)],[f104])).
% 1.36/0.62 fof(f111,plain,(
% 1.36/0.62 ![A,B,C,D]: (~perp(A,B,C,D)|perp(A,B,D,C))),
% 1.36/0.62 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 1.36/0.62 fof(f112,plain,(
% 1.36/0.62 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X0,X1,X3,X2))),
% 1.36/0.62 inference(cnf_transformation,[status(thm)],[f111])).
% 1.36/0.62 fof(f113,plain,(
% 1.36/0.62 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 1.36/0.62 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 1.36/0.62 fof(f114,plain,(
% 1.36/0.62 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 1.36/0.62 inference(cnf_transformation,[status(thm)],[f113])).
% 1.36/0.62 fof(f115,plain,(
% 1.36/0.62 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 1.36/0.62 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 1.36/0.62 fof(f116,plain,(
% 1.36/0.62 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 1.36/0.62 inference(miniscoping,[status(thm)],[f115])).
% 1.36/0.62 fof(f117,plain,(
% 1.36/0.62 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 1.36/0.62 inference(cnf_transformation,[status(thm)],[f116])).
% 1.36/0.62 fof(f121,plain,(
% 1.36/0.62 ![A,B,M]: (~midp(M,B,A)|midp(M,A,B))),
% 1.36/0.62 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 1.36/0.62 fof(f122,plain,(
% 1.36/0.62 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X0,X2,X1))),
% 1.36/0.62 inference(cnf_transformation,[status(thm)],[f121])).
% 1.36/0.62 fof(f123,plain,(
% 1.36/0.62 ![A,B,C,O]: ((~cong(O,A,O,B)|~cong(O,A,O,C))|circle(O,A,B,C))),
% 1.36/0.62 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 1.36/0.62 fof(f124,plain,(
% 1.36/0.62 ![X0,X1,X2,X3]: (~cong(X0,X1,X0,X2)|~cong(X0,X1,X0,X3)|circle(X0,X1,X2,X3))),
% 1.36/0.62 inference(cnf_transformation,[status(thm)],[f123])).
% 1.36/0.62 fof(f128,plain,(
% 1.36/0.62 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,B,D,C))),
% 1.36/0.62 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 1.36/0.62 fof(f129,plain,(
% 1.36/0.62 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X1,X3,X2))),
% 1.36/0.62 inference(cnf_transformation,[status(thm)],[f128])).
% 1.36/0.62 fof(f130,plain,(
% 1.36/0.62 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,C,B,D))),
% 1.36/0.62 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 1.36/0.62 fof(f131,plain,(
% 1.36/0.62 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X2,X1,X3))),
% 1.36/0.62 inference(cnf_transformation,[status(thm)],[f130])).
% 1.36/0.62 fof(f132,plain,(
% 1.36/0.62 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(B,A,C,D))),
% 1.36/0.62 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 1.36/0.62 fof(f133,plain,(
% 1.36/0.62 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X1,X0,X2,X3))),
% 1.36/0.62 inference(cnf_transformation,[status(thm)],[f132])).
% 1.36/0.62 fof(f134,plain,(
% 1.36/0.62 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 1.36/0.62 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 1.36/0.62 fof(f135,plain,(
% 1.36/0.62 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 1.36/0.62 inference(miniscoping,[status(thm)],[f134])).
% 1.36/0.62 fof(f136,plain,(
% 1.36/0.62 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 1.36/0.62 inference(cnf_transformation,[status(thm)],[f135])).
% 1.36/0.62 fof(f139,plain,(
% 1.36/0.62 ![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))),
% 1.36/0.62 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 1.36/0.62 fof(f140,plain,(
% 1.36/0.62 ![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))),
% 1.36/0.62 inference(cnf_transformation,[status(thm)],[f139])).
% 1.36/0.62 fof(f148,plain,(
% 1.36/0.62 ![A,B,C,D]: (~cong(A,B,C,D)|cong(A,B,D,C))),
% 1.36/0.62 inference(pre_NNF_transformation,[status(thm)],[f23])).
% 1.36/0.62 fof(f149,plain,(
% 1.36/0.62 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X3)|cong(X0,X1,X3,X2))),
% 1.36/0.62 inference(cnf_transformation,[status(thm)],[f148])).
% 1.36/0.62 fof(f150,plain,(
% 1.36/0.62 ![A,B,C,D]: (~cong(A,B,C,D)|cong(C,D,A,B))),
% 1.36/0.62 inference(pre_NNF_transformation,[status(thm)],[f24])).
% 1.36/0.62 fof(f151,plain,(
% 1.36/0.62 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X3)|cong(X2,X3,X0,X1))),
% 1.36/0.62 inference(cnf_transformation,[status(thm)],[f150])).
% 1.36/0.62 fof(f184,plain,(
% 1.36/0.62 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 1.36/0.62 inference(pre_NNF_transformation,[status(thm)],[f39])).
% 1.36/0.62 fof(f185,plain,(
% 1.36/0.62 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 1.36/0.62 inference(miniscoping,[status(thm)],[f184])).
% 1.36/0.62 fof(f186,plain,(
% 1.36/0.62 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 1.36/0.62 inference(cnf_transformation,[status(thm)],[f185])).
% 1.36/0.62 fof(f187,plain,(
% 1.36/0.62 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 1.36/0.62 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 1.36/0.62 fof(f188,plain,(
% 1.36/0.62 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 1.36/0.62 inference(miniscoping,[status(thm)],[f187])).
% 1.36/0.62 fof(f189,plain,(
% 1.36/0.62 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 1.36/0.62 inference(cnf_transformation,[status(thm)],[f188])).
% 1.36/0.62 fof(f194,plain,(
% 1.36/0.62 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 1.36/0.62 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 1.36/0.62 fof(f195,plain,(
% 1.36/0.62 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 1.36/0.62 inference(cnf_transformation,[status(thm)],[f194])).
% 1.36/0.62 fof(f220,plain,(
% 1.36/0.62 ![A,B,C,M]: ((~perp(A,B,B,C)|~midp(M,A,C))|cong(A,M,B,M))),
% 1.36/0.62 inference(pre_NNF_transformation,[status(thm)],[f53])).
% 1.36/0.62 fof(f221,plain,(
% 1.36/0.62 ![A,B,M]: ((![C]: (~perp(A,B,B,C)|~midp(M,A,C)))|cong(A,M,B,M))),
% 1.36/0.62 inference(miniscoping,[status(thm)],[f220])).
% 1.36/0.62 fof(f222,plain,(
% 1.36/0.62 ![X0,X1,X2,X3]: (~perp(X0,X1,X1,X2)|~midp(X3,X0,X2)|cong(X0,X3,X1,X3))),
% 1.36/0.62 inference(cnf_transformation,[status(thm)],[f221])).
% 1.36/0.62 fof(f223,plain,(
% 1.36/0.62 ![A,B,C,O]: ((~circle(O,A,B,C)|~coll(O,A,C))|perp(A,B,B,C))),
% 1.36/0.62 inference(pre_NNF_transformation,[status(thm)],[f54])).
% 1.36/0.62 fof(f224,plain,(
% 1.36/0.62 ![A,B,C]: ((![O]: (~circle(O,A,B,C)|~coll(O,A,C)))|perp(A,B,B,C))),
% 1.36/0.62 inference(miniscoping,[status(thm)],[f223])).
% 1.36/0.62 fof(f225,plain,(
% 1.36/0.62 ![X0,X1,X2,X3]: (~circle(X0,X1,X2,X3)|~coll(X0,X1,X3)|perp(X1,X2,X2,X3))),
% 1.36/0.62 inference(cnf_transformation,[status(thm)],[f224])).
% 1.36/0.62 fof(f233,plain,(
% 1.36/0.62 ![A,B,P,Q]: (((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q))|perp(P,A,A,Q))),
% 1.36/0.62 inference(pre_NNF_transformation,[status(thm)],[f58])).
% 1.36/0.62 fof(f234,plain,(
% 1.36/0.62 ![A,P,Q]: ((![B]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q)))|perp(P,A,A,Q))),
% 1.36/0.62 inference(miniscoping,[status(thm)],[f233])).
% 1.36/0.62 fof(f235,plain,(
% 1.36/0.62 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|~cyclic(X0,X2,X1,X3)|perp(X1,X0,X0,X3))),
% 1.36/0.62 inference(cnf_transformation,[status(thm)],[f234])).
% 1.36/0.62 fof(f250,plain,(
% 1.36/0.62 ![A,B,C,D,M]: (((~midp(M,A,B)|~para(A,C,B,D))|~para(A,D,B,C))|midp(M,C,D))),
% 1.36/0.62 inference(pre_NNF_transformation,[status(thm)],[f65])).
% 1.36/0.62 fof(f251,plain,(
% 1.36/0.62 ![C,D,M]: ((![A,B]: ((~midp(M,A,B)|~para(A,C,B,D))|~para(A,D,B,C)))|midp(M,C,D))),
% 1.36/0.62 inference(miniscoping,[status(thm)],[f250])).
% 1.36/0.62 fof(f252,plain,(
% 1.36/0.62 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X1,X3,X2,X4)|~para(X1,X4,X2,X3)|midp(X0,X3,X4))),
% 1.36/0.62 inference(cnf_transformation,[status(thm)],[f251])).
% 1.36/0.62 fof(f255,plain,(
% 1.36/0.62 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 1.36/0.62 inference(pre_NNF_transformation,[status(thm)],[f67])).
% 1.36/0.62 fof(f256,plain,(
% 1.36/0.62 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 1.36/0.62 inference(cnf_transformation,[status(thm)],[f255])).
% 1.36/0.62 fof(f257,plain,(
% 1.36/0.62 ![A,B,C]: ((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))),
% 1.36/0.62 inference(pre_NNF_transformation,[status(thm)],[f68])).
% 1.36/0.62 fof(f258,plain,(
% 1.36/0.62 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|~coll(X0,X1,X2)|midp(X0,X1,X2))),
% 1.36/0.62 inference(cnf_transformation,[status(thm)],[f257])).
% 1.36/0.62 fof(f259,plain,(
% 1.36/0.62 ![A,B,C]: (~midp(A,B,C)|cong(A,B,A,C))),
% 1.36/0.62 inference(pre_NNF_transformation,[status(thm)],[f69])).
% 1.36/0.62 fof(f260,plain,(
% 1.36/0.62 ![X0,X1,X2]: (~midp(X0,X1,X2)|cong(X0,X1,X0,X2))),
% 1.36/0.62 inference(cnf_transformation,[status(thm)],[f259])).
% 1.36/0.62 fof(f261,plain,(
% 1.36/0.62 ![A,B,C]: (~midp(A,B,C)|coll(A,B,C))),
% 1.36/0.62 inference(pre_NNF_transformation,[status(thm)],[f70])).
% 1.36/0.62 fof(f262,plain,(
% 1.36/0.62 ![X0,X1,X2]: (~midp(X0,X1,X2)|coll(X0,X1,X2))),
% 1.36/0.62 inference(cnf_transformation,[status(thm)],[f261])).
% 1.36/0.62 fof(f369,plain,(
% 1.36/0.62 (?[A,B,C,D,E,F]: ((((midp(C,B,A)&perp(D,A,D,B))&circle(E,A,C,D))&circle(F,B,D,C))&~perp(E,D,D,F)))),
% 1.36/0.62 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 1.36/0.62 fof(f370,plain,(
% 1.36/0.62 ?[D,E,F]: ((?[B,C]: ((?[A]: ((midp(C,B,A)&perp(D,A,D,B))&circle(E,A,C,D)))&circle(F,B,D,C)))&~perp(E,D,D,F))),
% 1.36/0.62 inference(miniscoping,[status(thm)],[f369])).
% 1.36/0.62 fof(f371,plain,(
% 1.36/0.62 ((((midp(sK24_skl,sK23_skl,sK25_skl)&perp(sK20_skl,sK25_skl,sK20_skl,sK23_skl))&circle(sK21_skl,sK25_skl,sK24_skl,sK20_skl))&circle(sK22_skl,sK23_skl,sK20_skl,sK24_skl))&~perp(sK21_skl,sK20_skl,sK20_skl,sK22_skl))),
% 1.36/0.62 inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl,sK21_skl,sK22_skl,sK23_skl,sK24_skl,sK25_skl]),skolemize(D,sK20_skl),skolemize(E,sK21_skl),skolemize(F,sK22_skl),skolemize(B,sK23_skl),skolemize(C,sK24_skl),skolemize(A,sK25_skl)],[f370])).
% 1.36/0.62 fof(f372,plain,(
% 1.36/0.62 midp(sK24_skl,sK23_skl,sK25_skl)),
% 1.36/0.62 inference(cnf_transformation,[status(thm)],[f371])).
% 1.36/0.62 fof(f373,plain,(
% 1.36/0.62 perp(sK20_skl,sK25_skl,sK20_skl,sK23_skl)),
% 1.36/0.62 inference(cnf_transformation,[status(thm)],[f371])).
% 1.36/0.62 fof(f376,plain,(
% 1.36/0.62 ~perp(sK21_skl,sK20_skl,sK20_skl,sK22_skl)),
% 1.36/0.62 inference(cnf_transformation,[status(thm)],[f371])).
% 1.36/0.62 fof(f378,plain,(
% 1.36/0.62 midp(sK24_skl,sK25_skl,sK23_skl)),
% 1.36/0.62 inference(resolution,[status(thm)],[f122,f372])).
% 1.36/0.62 fof(f380,plain,(
% 1.36/0.62 coll(sK24_skl,sK25_skl,sK23_skl)),
% 1.36/0.62 inference(resolution,[status(thm)],[f262,f378])).
% 1.36/0.62 fof(f381,plain,(
% 1.36/0.62 coll(sK24_skl,sK23_skl,sK25_skl)),
% 1.36/0.62 inference(resolution,[status(thm)],[f262,f372])).
% 1.36/0.62 fof(f384,plain,(
% 1.36/0.62 cong(sK24_skl,sK23_skl,sK24_skl,sK25_skl)),
% 1.36/0.62 inference(resolution,[status(thm)],[f260,f372])).
% 1.36/0.62 fof(f386,plain,(
% 1.36/0.62 perp(sK20_skl,sK23_skl,sK20_skl,sK25_skl)),
% 1.36/0.62 inference(resolution,[status(thm)],[f114,f373])).
% 1.36/0.62 fof(f387,plain,(
% 1.36/0.62 ![X0]: (~cong(sK24_skl,sK23_skl,sK24_skl,X0)|circle(sK24_skl,sK23_skl,X0,sK25_skl))),
% 1.36/0.62 inference(resolution,[status(thm)],[f124,f384])).
% 1.36/0.62 fof(f391,plain,(
% 1.36/0.62 coll(sK23_skl,sK24_skl,sK25_skl)),
% 1.36/0.62 inference(resolution,[status(thm)],[f100,f381])).
% 1.36/0.62 fof(f392,plain,(
% 1.36/0.62 coll(sK25_skl,sK24_skl,sK23_skl)),
% 1.36/0.62 inference(resolution,[status(thm)],[f100,f380])).
% 1.36/0.62 fof(f396,plain,(
% 1.36/0.62 coll(sK25_skl,sK23_skl,sK24_skl)),
% 1.36/0.62 inference(resolution,[status(thm)],[f392,f98])).
% 1.36/0.62 fof(f405,plain,(
% 1.36/0.62 perp(sK20_skl,sK23_skl,sK25_skl,sK20_skl)),
% 1.36/0.62 inference(resolution,[status(thm)],[f386,f112])).
% 1.36/0.62 fof(f408,plain,(
% 1.36/0.62 perp(sK25_skl,sK20_skl,sK20_skl,sK23_skl)),
% 1.36/0.62 inference(resolution,[status(thm)],[f405,f114])).
% 1.36/0.62 fof(f415,plain,(
% 1.36/0.62 ![X0]: (~coll(sK25_skl,sK23_skl,X0)|coll(X0,sK24_skl,sK25_skl))),
% 1.36/0.62 inference(resolution,[status(thm)],[f103,f396])).
% 1.36/0.62 fof(f416,plain,(
% 1.36/0.62 ![X0]: (~coll(sK25_skl,sK24_skl,X0)|coll(X0,sK23_skl,sK25_skl))),
% 1.36/0.62 inference(resolution,[status(thm)],[f103,f392])).
% 1.36/0.62 fof(f418,plain,(
% 1.36/0.62 ![X0]: (~coll(sK23_skl,sK24_skl,X0)|coll(X0,sK25_skl,sK23_skl))),
% 1.36/0.62 inference(resolution,[status(thm)],[f103,f391])).
% 1.36/0.62 fof(f421,plain,(
% 1.36/0.62 coll(sK24_skl,sK24_skl,sK25_skl)),
% 1.36/0.62 inference(resolution,[status(thm)],[f415,f396])).
% 1.36/0.62 fof(f424,plain,(
% 1.36/0.62 coll(sK24_skl,sK25_skl,sK24_skl)),
% 1.36/0.62 inference(resolution,[status(thm)],[f421,f98])).
% 1.36/0.62 fof(f426,plain,(
% 1.36/0.62 coll(sK25_skl,sK24_skl,sK24_skl)),
% 1.36/0.62 inference(resolution,[status(thm)],[f424,f100])).
% 1.36/0.62 fof(f432,plain,(
% 1.36/0.62 coll(sK23_skl,sK23_skl,sK25_skl)),
% 1.36/0.62 inference(resolution,[status(thm)],[f416,f392])).
% 1.36/0.62 fof(f433,plain,(
% 1.36/0.62 circle(sK24_skl,sK23_skl,sK25_skl,sK25_skl)),
% 1.36/0.62 inference(resolution,[status(thm)],[f387,f384])).
% 1.36/0.62 fof(f434,plain,(
% 1.36/0.62 ![X0]: (~coll(sK23_skl,sK23_skl,X0)|coll(X0,sK25_skl,sK23_skl))),
% 1.36/0.62 inference(resolution,[status(thm)],[f432,f103])).
% 1.36/0.62 fof(f485,plain,(
% 1.36/0.62 coll(sK25_skl,sK25_skl,sK23_skl)),
% 1.36/0.62 inference(resolution,[status(thm)],[f418,f391])).
% 1.36/0.62 fof(f491,plain,(
% 1.36/0.62 ![X0,X1]: (~perp(X0,X1,sK20_skl,sK23_skl)|para(X0,X1,sK20_skl,sK25_skl))),
% 1.36/0.62 inference(resolution,[status(thm)],[f117,f386])).
% 1.36/0.62 fof(f493,plain,(
% 1.36/0.62 ![X0,X1]: (~perp(X0,X1,sK20_skl,sK25_skl)|para(X0,X1,sK20_skl,sK23_skl))),
% 1.36/0.62 inference(resolution,[status(thm)],[f117,f373])).
% 1.36/0.62 fof(f496,plain,(
% 1.36/0.62 coll(sK25_skl,sK23_skl,sK25_skl)),
% 1.36/0.62 inference(resolution,[status(thm)],[f485,f98])).
% 1.36/0.62 fof(f498,plain,(
% 1.36/0.62 ![X0]: (~coll(sK25_skl,sK23_skl,X0)|coll(X0,sK25_skl,sK25_skl))),
% 1.36/0.62 inference(resolution,[status(thm)],[f496,f103])).
% 1.36/0.62 fof(f634,plain,(
% 1.36/0.62 ~coll(sK24_skl,sK23_skl,sK25_skl)|perp(sK23_skl,sK25_skl,sK25_skl,sK25_skl)),
% 1.36/0.62 inference(resolution,[status(thm)],[f225,f433])).
% 1.36/0.62 fof(f637,plain,(
% 1.36/0.62 perp(sK23_skl,sK25_skl,sK25_skl,sK25_skl)),
% 1.36/0.62 inference(forward_subsumption_resolution,[status(thm)],[f634,f381])).
% 1.36/0.62 fof(f654,plain,(
% 1.36/0.62 perp(sK25_skl,sK25_skl,sK23_skl,sK25_skl)),
% 1.36/0.62 inference(resolution,[status(thm)],[f637,f114])).
% 1.36/0.62 fof(f663,plain,(
% 1.36/0.62 perp(sK25_skl,sK25_skl,sK25_skl,sK23_skl)),
% 1.36/0.62 inference(resolution,[status(thm)],[f654,f112])).
% 1.36/0.62 fof(f680,plain,(
% 1.36/0.62 ![X0]: (~midp(X0,sK25_skl,sK23_skl)|cong(sK25_skl,X0,sK25_skl,X0))),
% 1.36/0.62 inference(resolution,[status(thm)],[f663,f222])).
% 1.36/0.62 fof(f726,plain,(
% 1.36/0.62 para(sK20_skl,sK23_skl,sK20_skl,sK23_skl)),
% 1.36/0.62 inference(resolution,[status(thm)],[f493,f386])).
% 1.36/0.62 fof(f735,plain,(
% 1.36/0.62 coll(sK20_skl,sK23_skl,sK23_skl)),
% 1.36/0.62 inference(resolution,[status(thm)],[f726,f256])).
% 1.36/0.62 fof(f737,plain,(
% 1.36/0.62 coll(sK23_skl,sK20_skl,sK23_skl)),
% 1.36/0.62 inference(resolution,[status(thm)],[f735,f100])).
% 1.36/0.62 fof(f741,plain,(
% 1.36/0.62 coll(sK23_skl,sK23_skl,sK20_skl)),
% 1.36/0.62 inference(resolution,[status(thm)],[f737,f98])).
% 1.36/0.62 fof(f744,plain,(
% 1.36/0.62 coll(sK20_skl,sK25_skl,sK23_skl)),
% 1.36/0.62 inference(resolution,[status(thm)],[f741,f434])).
% 1.36/0.62 fof(f752,plain,(
% 1.36/0.62 coll(sK25_skl,sK20_skl,sK23_skl)),
% 1.36/0.62 inference(resolution,[status(thm)],[f744,f100])).
% 1.36/0.62 fof(f762,plain,(
% 1.36/0.62 coll(sK25_skl,sK23_skl,sK20_skl)),
% 1.36/0.62 inference(resolution,[status(thm)],[f752,f98])).
% 1.36/0.62 fof(f788,plain,(
% 1.36/0.62 coll(sK20_skl,sK25_skl,sK25_skl)),
% 1.36/0.62 inference(resolution,[status(thm)],[f762,f498])).
% 1.36/0.62 fof(f813,plain,(
% 1.36/0.62 coll(sK25_skl,sK20_skl,sK25_skl)),
% 1.36/0.62 inference(resolution,[status(thm)],[f788,f100])).
% 1.36/0.62 fof(f859,plain,(
% 1.36/0.62 coll(sK25_skl,sK25_skl,sK20_skl)),
% 1.36/0.62 inference(resolution,[status(thm)],[f813,f98])).
% 1.36/0.62 fof(f976,plain,(
% 1.36/0.62 para(sK25_skl,sK20_skl,sK20_skl,sK25_skl)),
% 1.36/0.62 inference(resolution,[status(thm)],[f491,f408])).
% 1.36/0.62 fof(f988,plain,(
% 1.36/0.62 para(sK25_skl,sK20_skl,sK25_skl,sK20_skl)),
% 1.36/0.62 inference(resolution,[status(thm)],[f976,f105])).
% 1.36/0.62 fof(f1245,plain,(
% 1.36/0.62 cong(sK25_skl,sK24_skl,sK25_skl,sK24_skl)),
% 1.36/0.62 inference(resolution,[status(thm)],[f680,f378])).
% 1.36/0.62 fof(f1247,plain,(
% 1.36/0.62 ~coll(sK25_skl,sK24_skl,sK24_skl)|midp(sK25_skl,sK24_skl,sK24_skl)),
% 1.36/0.62 inference(resolution,[status(thm)],[f1245,f258])).
% 1.36/0.62 fof(f1256,plain,(
% 1.36/0.62 midp(sK25_skl,sK24_skl,sK24_skl)),
% 1.36/0.62 inference(forward_subsumption_resolution,[status(thm)],[f1247,f426])).
% 1.36/0.62 fof(f1280,plain,(
% 1.36/0.62 ![X0,X1]: (eqangle(sK25_skl,sK20_skl,X0,X1,sK25_skl,sK20_skl,X0,X1))),
% 1.36/0.62 inference(resolution,[status(thm)],[f189,f988])).
% 1.36/0.62 fof(f1292,plain,(
% 1.36/0.62 ![X0,X1]: (eqangle(X0,X1,sK25_skl,sK20_skl,X0,X1,sK25_skl,sK20_skl))),
% 1.36/0.62 inference(resolution,[status(thm)],[f1280,f140])).
% 1.36/0.62 fof(f2621,plain,(
% 1.36/0.62 ![X0]: (~coll(sK25_skl,sK25_skl,sK20_skl)|cyclic(X0,sK20_skl,sK25_skl,sK25_skl))),
% 1.36/0.62 inference(resolution,[status(thm)],[f1292,f195])).
% 1.36/0.62 fof(f2623,plain,(
% 1.36/0.62 ![X0,X1]: (para(X0,X1,X0,X1))),
% 1.36/0.62 inference(resolution,[status(thm)],[f1292,f186])).
% 1.36/0.62 fof(f2632,plain,(
% 1.36/0.62 ![X0]: (cyclic(X0,sK20_skl,sK25_skl,sK25_skl))),
% 1.36/0.62 inference(forward_subsumption_resolution,[status(thm)],[f2621,f859])).
% 1.36/0.62 fof(f2634,plain,(
% 1.36/0.62 ![X0,X1,X2]: (~midp(X0,X1,X1)|~para(X1,X2,X1,X2)|midp(X0,X2,X2))),
% 1.36/0.62 inference(resolution,[status(thm)],[f2623,f252])).
% 1.36/0.62 fof(f2642,plain,(
% 1.36/0.62 ![X0,X1]: (coll(X0,X1,X1))),
% 1.36/0.62 inference(resolution,[status(thm)],[f2623,f256])).
% 1.36/0.62 fof(f2643,plain,(
% 1.36/0.62 ![X0,X1,X2]: (~midp(X0,X1,X1)|midp(X0,X2,X2))),
% 1.36/0.62 inference(forward_subsumption_resolution,[status(thm)],[f2634,f2623])).
% 1.36/0.63 fof(f2693,plain,(
% 1.36/0.63 ![X0,X1]: (coll(X0,X1,X0))),
% 1.36/0.63 inference(resolution,[status(thm)],[f2642,f100])).
% 1.36/0.63 fof(f2745,plain,(
% 1.36/0.63 ![X0,X1]: (coll(X0,X0,X1))),
% 1.36/0.63 inference(resolution,[status(thm)],[f2693,f98])).
% 1.36/0.63 fof(f2758,plain,(
% 1.36/0.63 ![X0,X1,X2]: (~coll(X0,X0,X1)|coll(X1,X2,X0))),
% 1.36/0.63 inference(resolution,[status(thm)],[f2745,f103])).
% 1.36/0.63 fof(f2761,plain,(
% 1.36/0.63 ![X0,X1,X2]: (coll(X0,X1,X2))),
% 1.36/0.63 inference(forward_subsumption_resolution,[status(thm)],[f2758,f2745])).
% 1.36/0.63 fof(f2765,plain,(
% 1.36/0.63 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|midp(X0,X1,X2))),
% 1.36/0.63 inference(backward_subsumption_resolution,[status(thm)],[f258,f2761])).
% 1.36/0.63 fof(f2858,plain,(
% 1.36/0.63 ![X0]: (cyclic(sK20_skl,X0,sK25_skl,sK25_skl))),
% 1.36/0.63 inference(resolution,[status(thm)],[f2632,f133])).
% 1.36/0.63 fof(f2864,plain,(
% 1.36/0.63 ![X0]: (cyclic(sK20_skl,sK25_skl,X0,sK25_skl))),
% 1.36/0.63 inference(resolution,[status(thm)],[f2858,f131])).
% 1.36/0.63 fof(f2875,plain,(
% 1.36/0.63 ![X0]: (cyclic(sK20_skl,sK25_skl,sK25_skl,X0))),
% 1.36/0.63 inference(resolution,[status(thm)],[f2864,f129])).
% 1.36/0.63 fof(f2892,plain,(
% 1.36/0.63 ![X0,X1]: (~cyclic(sK20_skl,sK25_skl,sK25_skl,X0)|cyclic(sK25_skl,sK25_skl,X0,X1))),
% 1.36/0.63 inference(resolution,[status(thm)],[f2875,f136])).
% 1.36/0.63 fof(f2896,plain,(
% 1.36/0.63 ![X0,X1]: (cyclic(sK25_skl,sK25_skl,X0,X1))),
% 1.36/0.63 inference(forward_subsumption_resolution,[status(thm)],[f2892,f2875])).
% 1.36/0.63 fof(f2898,plain,(
% 1.36/0.63 ![X0,X1,X2]: (~cyclic(sK25_skl,sK25_skl,X0,X1)|cyclic(sK25_skl,X0,X1,X2))),
% 1.36/0.63 inference(resolution,[status(thm)],[f2896,f136])).
% 1.36/0.63 fof(f2902,plain,(
% 1.36/0.63 ![X0,X1,X2]: (cyclic(sK25_skl,X0,X1,X2))),
% 1.36/0.63 inference(forward_subsumption_resolution,[status(thm)],[f2898,f2896])).
% 1.36/0.63 fof(f2904,plain,(
% 1.36/0.63 ![X0,X1,X2,X3]: (~cyclic(sK25_skl,X0,X1,X2)|cyclic(X0,X1,X2,X3))),
% 1.36/0.63 inference(resolution,[status(thm)],[f2902,f136])).
% 1.36/0.63 fof(f2908,plain,(
% 1.36/0.63 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3))),
% 1.36/0.63 inference(forward_subsumption_resolution,[status(thm)],[f2904,f2902])).
% 1.36/0.63 fof(f2909,plain,(
% 1.36/0.63 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X1,X0,X0,X3))),
% 1.36/0.63 inference(backward_subsumption_resolution,[status(thm)],[f235,f2908])).
% 1.36/0.63 fof(f2914,plain,(
% 1.36/0.63 ![X0]: (midp(sK25_skl,X0,X0))),
% 1.36/0.63 inference(resolution,[status(thm)],[f2643,f1256])).
% 1.36/0.63 fof(f2923,plain,(
% 1.36/0.63 ![X0]: (cong(sK25_skl,X0,sK25_skl,X0))),
% 1.36/0.63 inference(resolution,[status(thm)],[f2914,f260])).
% 1.36/0.63 fof(f2939,plain,(
% 1.36/0.63 ![X0]: (cong(sK25_skl,X0,X0,sK25_skl))),
% 1.36/0.63 inference(resolution,[status(thm)],[f2923,f149])).
% 1.36/0.63 fof(f2991,plain,(
% 1.36/0.63 ![X0]: (cong(X0,sK25_skl,sK25_skl,X0))),
% 1.36/0.63 inference(resolution,[status(thm)],[f2939,f151])).
% 1.36/0.63 fof(f3058,plain,(
% 1.36/0.63 ![X0]: (cong(X0,sK25_skl,X0,sK25_skl))),
% 1.36/0.63 inference(resolution,[status(thm)],[f2991,f149])).
% 1.36/0.63 fof(f3090,plain,(
% 1.36/0.63 ![X0]: (midp(X0,sK25_skl,sK25_skl))),
% 1.36/0.63 inference(resolution,[status(thm)],[f3058,f2765])).
% 1.36/0.63 fof(f3099,plain,(
% 1.36/0.63 ![X0,X1]: (midp(X0,X1,X1))),
% 1.36/0.63 inference(resolution,[status(thm)],[f3090,f2643])).
% 1.36/0.63 fof(f3113,plain,(
% 1.36/0.63 ![X0,X1]: (cong(X0,X1,X0,X1))),
% 1.36/0.63 inference(resolution,[status(thm)],[f3099,f260])).
% 1.36/0.63 fof(f3207,plain,(
% 1.36/0.63 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X1,X0,X0,X2))),
% 1.36/0.63 inference(resolution,[status(thm)],[f2909,f3113])).
% 1.36/0.63 fof(f3208,plain,(
% 1.36/0.63 ![X0,X1,X2]: (perp(X0,X1,X1,X2))),
% 1.36/0.63 inference(forward_subsumption_resolution,[status(thm)],[f3207,f3113])).
% 1.36/0.63 fof(f3256,plain,(
% 1.36/0.63 $false),
% 1.36/0.63 inference(backward_subsumption_resolution,[status(thm)],[f376,f3208])).
% 1.36/0.63 % SZS output end CNFRefutation for theBenchmark.p
% 1.36/0.64 % Elapsed time: 0.267400 seconds
% 1.36/0.64 % CPU time: 1.858302 seconds
% 1.36/0.64 % Total memory used: 103.992 MB
% 1.36/0.64 % Net memory used: 101.968 MB
%------------------------------------------------------------------------------