%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO656+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 : n019.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 0.27s 0.71s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GEO656+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.41 % Computer : n019.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Sun Sep 20 18:15:49 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.43 % Drodi V4.1.1
% 0.27/0.71 % Refutation found
% 0.27/0.71 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.27/0.71 % SZS output start CNFRefutation for theBenchmark
% 0.27/0.71 fof(f1,axiom,(
% 0.27/0.71 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 0.27/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.27/0.71 fof(f2,axiom,(
% 0.27/0.71 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 0.27/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.27/0.71 fof(f3,axiom,(
% 0.27/0.71 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 0.27/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.27/0.71 fof(f5,axiom,(
% 0.27/0.71 (! [A,B,C,D] :( para(A,B,C,D)=> para(C,D,A,B) ) )),
% 0.27/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.27/0.71 fof(f9,axiom,(
% 0.27/0.71 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 0.27/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.27/0.71 fof(f11,axiom,(
% 0.27/0.71 (! [A,B,M] :( midp(M,B,A)=> midp(M,A,B) ) )),
% 0.27/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.27/0.71 fof(f14,axiom,(
% 0.27/0.71 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,B,D,C) ) )),
% 0.27/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.27/0.71 fof(f15,axiom,(
% 0.27/0.71 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,C,B,D) ) )),
% 0.27/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.27/0.71 fof(f16,axiom,(
% 0.27/0.71 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(B,A,C,D) ) )),
% 0.27/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.27/0.71 fof(f17,axiom,(
% 0.27/0.71 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 0.27/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.27/0.71 fof(f18,axiom,(
% 0.27/0.71 (! [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) ) )),
% 0.27/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.27/0.71 fof(f20,axiom,(
% 0.27/0.71 (! [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) ) )),
% 0.27/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.27/0.71 fof(f21,axiom,(
% 0.27/0.71 (! [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) ) )),
% 0.27/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.27/0.71 fof(f23,axiom,(
% 0.27/0.71 (! [A,B,C,D] :( cong(A,B,C,D)=> cong(A,B,D,C) ) )),
% 0.27/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.27/0.71 fof(f24,axiom,(
% 0.27/0.71 (! [A,B,C,D] :( cong(A,B,C,D)=> cong(C,D,A,B) ) )),
% 0.27/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.27/0.71 fof(f25,axiom,(
% 0.27/0.71 (! [A,B,C,D,E,F] :( ( cong(A,B,C,D)& cong(C,D,E,F) )=> cong(A,B,E,F) ) )),
% 0.27/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.27/0.71 fof(f40,axiom,(
% 0.27/0.71 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 0.27/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.27/0.71 fof(f43,axiom,(
% 0.27/0.71 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 0.27/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.27/0.71 fof(f45,axiom,(
% 0.27/0.71 (! [A,B,C,E,F] :( ( midp(E,A,B)& midp(F,A,C) )=> para(E,F,B,C) ) )),
% 0.27/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.27/0.71 fof(f46,axiom,(
% 0.27/0.71 (! [A,B,C,E,F] :( ( midp(E,A,B)& para(E,F,B,C)& coll(F,A,C) )=> midp(F,A,C) ) )),
% 0.27/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.27/0.71 fof(f53,axiom,(
% 0.27/0.71 (! [A,B,C,M] :( ( perp(A,B,B,C)& midp(M,A,C) )=> cong(A,M,B,M) ) )),
% 0.27/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.27/0.71 fof(f57,axiom,(
% 0.27/0.71 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 0.27/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.27/0.71 fof(f58,axiom,(
% 0.27/0.71 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q)& cyclic(A,B,P,Q) )=> perp(P,A,A,Q) ) )),
% 0.27/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.27/0.71 fof(f65,axiom,(
% 0.27/0.71 (! [A,B,C,D,M] :( ( midp(M,A,B)& para(A,C,B,D)& para(A,D,B,C) )=> midp(M,C,D) ) )),
% 0.27/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.27/0.71 fof(f67,axiom,(
% 0.27/0.71 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 0.27/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.27/0.71 fof(f68,axiom,(
% 0.27/0.71 (! [A,B,C] :( ( cong(A,B,A,C)& coll(A,B,C) )=> midp(A,B,C) ) )),
% 0.27/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.27/0.71 fof(f69,axiom,(
% 0.27/0.71 (! [A,B,C] :( midp(A,B,C)=> cong(A,B,A,C) ) )),
% 0.27/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.27/0.71 fof(f70,axiom,(
% 0.27/0.71 (! [A,B,C] :( midp(A,B,C)=> coll(A,B,C) ) )),
% 0.27/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.27/0.71 fof(f74,axiom,(
% 0.27/0.71 (! [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) ) )),
% 0.27/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.27/0.71 fof(f95,conjecture,(
% 0.27/0.71 (! [A,B,C,D,E,F] :( ( midp(D,B,A)& eqangle(E,D,D,A,E,D,D,C)& eqangle(F,D,D,B,F,D,D,C) )=> para(E,F,A,B) ) )),
% 0.27/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.27/0.71 fof(f96,negated_conjecture,(
% 0.27/0.71 ~((! [A,B,C,D,E,F] :( ( midp(D,B,A)& eqangle(E,D,D,A,E,D,D,C)& eqangle(F,D,D,B,F,D,D,C) )=> para(E,F,A,B) ) ))),
% 0.27/0.71 inference(negated_conjecture,[status(cth)],[f95])).
% 0.27/0.71 fof(f97,plain,(
% 0.27/0.71 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 0.27/0.71 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.27/0.71 fof(f98,plain,(
% 0.27/0.71 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 0.27/0.71 inference(cnf_transformation,[status(thm)],[f97])).
% 0.27/0.71 fof(f99,plain,(
% 0.27/0.71 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 0.27/0.71 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.27/0.71 fof(f100,plain,(
% 0.27/0.71 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 0.27/0.71 inference(cnf_transformation,[status(thm)],[f99])).
% 0.27/0.71 fof(f101,plain,(
% 0.27/0.71 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 0.27/0.71 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.27/0.71 fof(f102,plain,(
% 0.27/0.71 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 0.27/0.71 inference(miniscoping,[status(thm)],[f101])).
% 0.27/0.71 fof(f103,plain,(
% 0.27/0.71 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 0.27/0.71 inference(cnf_transformation,[status(thm)],[f102])).
% 0.27/0.71 fof(f106,plain,(
% 0.27/0.71 ![A,B,C,D]: (~para(A,B,C,D)|para(C,D,A,B))),
% 0.27/0.71 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.27/0.71 fof(f107,plain,(
% 0.27/0.71 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X2,X3,X0,X1))),
% 0.27/0.71 inference(cnf_transformation,[status(thm)],[f106])).
% 0.27/0.71 fof(f115,plain,(
% 0.27/0.71 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 0.27/0.71 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.27/0.71 fof(f116,plain,(
% 0.27/0.71 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 0.27/0.71 inference(miniscoping,[status(thm)],[f115])).
% 0.27/0.71 fof(f117,plain,(
% 0.27/0.71 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 0.27/0.71 inference(cnf_transformation,[status(thm)],[f116])).
% 0.27/0.71 fof(f121,plain,(
% 0.27/0.71 ![A,B,M]: (~midp(M,B,A)|midp(M,A,B))),
% 0.27/0.71 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 0.27/0.71 fof(f122,plain,(
% 0.27/0.71 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X0,X2,X1))),
% 0.27/0.71 inference(cnf_transformation,[status(thm)],[f121])).
% 0.27/0.71 fof(f128,plain,(
% 0.27/0.71 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,B,D,C))),
% 0.27/0.71 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 0.27/0.71 fof(f129,plain,(
% 0.27/0.71 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X1,X3,X2))),
% 0.27/0.71 inference(cnf_transformation,[status(thm)],[f128])).
% 0.27/0.71 fof(f130,plain,(
% 0.27/0.71 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,C,B,D))),
% 0.27/0.71 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.27/0.71 fof(f131,plain,(
% 0.27/0.71 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X2,X1,X3))),
% 0.27/0.71 inference(cnf_transformation,[status(thm)],[f130])).
% 0.27/0.71 fof(f132,plain,(
% 0.27/0.71 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(B,A,C,D))),
% 0.27/0.71 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 0.27/0.71 fof(f133,plain,(
% 0.27/0.71 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X1,X0,X2,X3))),
% 0.27/0.71 inference(cnf_transformation,[status(thm)],[f132])).
% 0.27/0.71 fof(f134,plain,(
% 0.27/0.71 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 0.27/0.71 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 0.27/0.71 fof(f135,plain,(
% 0.27/0.71 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 0.27/0.71 inference(miniscoping,[status(thm)],[f134])).
% 0.27/0.71 fof(f136,plain,(
% 0.27/0.71 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 0.27/0.71 inference(cnf_transformation,[status(thm)],[f135])).
% 0.27/0.71 fof(f137,plain,(
% 0.27/0.71 ![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))),
% 0.27/0.71 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 0.27/0.71 fof(f138,plain,(
% 0.27/0.71 ![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))),
% 0.27/0.71 inference(cnf_transformation,[status(thm)],[f137])).
% 0.27/0.71 fof(f141,plain,(
% 0.27/0.71 ![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))),
% 0.27/0.71 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 0.27/0.71 fof(f142,plain,(
% 0.27/0.71 ![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))),
% 0.27/0.71 inference(cnf_transformation,[status(thm)],[f141])).
% 0.27/0.71 fof(f143,plain,(
% 0.27/0.71 ![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))),
% 0.27/0.71 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 0.27/0.71 fof(f144,plain,(
% 0.27/0.71 ![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))),
% 0.27/0.71 inference(cnf_transformation,[status(thm)],[f143])).
% 0.27/0.71 fof(f148,plain,(
% 0.27/0.71 ![A,B,C,D]: (~cong(A,B,C,D)|cong(A,B,D,C))),
% 0.27/0.71 inference(pre_NNF_transformation,[status(thm)],[f23])).
% 0.27/0.71 fof(f149,plain,(
% 0.27/0.71 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X3)|cong(X0,X1,X3,X2))),
% 0.27/0.71 inference(cnf_transformation,[status(thm)],[f148])).
% 0.27/0.71 fof(f150,plain,(
% 0.27/0.71 ![A,B,C,D]: (~cong(A,B,C,D)|cong(C,D,A,B))),
% 0.27/0.71 inference(pre_NNF_transformation,[status(thm)],[f24])).
% 0.27/0.71 fof(f151,plain,(
% 0.27/0.71 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X3)|cong(X2,X3,X0,X1))),
% 0.27/0.71 inference(cnf_transformation,[status(thm)],[f150])).
% 0.27/0.71 fof(f152,plain,(
% 0.27/0.71 ![A,B,C,D,E,F]: ((~cong(A,B,C,D)|~cong(C,D,E,F))|cong(A,B,E,F))),
% 0.27/0.71 inference(pre_NNF_transformation,[status(thm)],[f25])).
% 0.27/0.71 fof(f153,plain,(
% 0.27/0.71 ![A,B,E,F]: ((![C,D]: (~cong(A,B,C,D)|~cong(C,D,E,F)))|cong(A,B,E,F))),
% 0.27/0.71 inference(miniscoping,[status(thm)],[f152])).
% 0.27/0.71 fof(f154,plain,(
% 0.27/0.71 ![X0,X1,X2,X3,X4,X5]: (~cong(X0,X1,X2,X3)|~cong(X2,X3,X4,X5)|cong(X0,X1,X4,X5))),
% 0.27/0.71 inference(cnf_transformation,[status(thm)],[f153])).
% 0.27/0.71 fof(f187,plain,(
% 0.27/0.71 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 0.27/0.71 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 0.27/0.71 fof(f188,plain,(
% 0.27/0.71 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 0.27/0.71 inference(miniscoping,[status(thm)],[f187])).
% 0.27/0.71 fof(f189,plain,(
% 0.27/0.71 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 0.27/0.71 inference(cnf_transformation,[status(thm)],[f188])).
% 0.27/0.71 fof(f194,plain,(
% 0.27/0.71 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 0.27/0.71 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 0.27/0.71 fof(f195,plain,(
% 0.27/0.71 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 0.27/0.71 inference(cnf_transformation,[status(thm)],[f194])).
% 0.27/0.71 fof(f199,plain,(
% 0.27/0.71 ![A,B,C,E,F]: ((~midp(E,A,B)|~midp(F,A,C))|para(E,F,B,C))),
% 0.27/0.71 inference(pre_NNF_transformation,[status(thm)],[f45])).
% 0.27/0.71 fof(f200,plain,(
% 0.27/0.71 ![B,C,E,F]: ((![A]: (~midp(E,A,B)|~midp(F,A,C)))|para(E,F,B,C))),
% 0.27/0.71 inference(miniscoping,[status(thm)],[f199])).
% 0.27/0.71 fof(f201,plain,(
% 0.27/0.71 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~midp(X3,X1,X4)|para(X0,X3,X2,X4))),
% 0.27/0.71 inference(cnf_transformation,[status(thm)],[f200])).
% 0.27/0.71 fof(f202,plain,(
% 0.27/0.71 ![A,B,C,E,F]: (((~midp(E,A,B)|~para(E,F,B,C))|~coll(F,A,C))|midp(F,A,C))),
% 0.27/0.71 inference(pre_NNF_transformation,[status(thm)],[f46])).
% 0.27/0.71 fof(f203,plain,(
% 0.27/0.71 ![A,C,F]: (((![B,E]: (~midp(E,A,B)|~para(E,F,B,C)))|~coll(F,A,C))|midp(F,A,C))),
% 0.27/0.71 inference(miniscoping,[status(thm)],[f202])).
% 0.27/0.71 fof(f204,plain,(
% 0.27/0.71 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X0,X3,X2,X4)|~coll(X3,X1,X4)|midp(X3,X1,X4))),
% 0.27/0.71 inference(cnf_transformation,[status(thm)],[f203])).
% 0.27/0.71 fof(f220,plain,(
% 0.27/0.71 ![A,B,C,M]: ((~perp(A,B,B,C)|~midp(M,A,C))|cong(A,M,B,M))),
% 0.27/0.71 inference(pre_NNF_transformation,[status(thm)],[f53])).
% 0.27/0.71 fof(f221,plain,(
% 0.27/0.71 ![A,B,M]: ((![C]: (~perp(A,B,B,C)|~midp(M,A,C)))|cong(A,M,B,M))),
% 0.27/0.71 inference(miniscoping,[status(thm)],[f220])).
% 0.27/0.71 fof(f222,plain,(
% 0.27/0.71 ![X0,X1,X2,X3]: (~perp(X0,X1,X1,X2)|~midp(X3,X0,X2)|cong(X0,X3,X1,X3))),
% 0.27/0.71 inference(cnf_transformation,[status(thm)],[f221])).
% 0.27/0.71 fof(f231,plain,(
% 0.27/0.71 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 0.27/0.71 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 0.27/0.71 fof(f232,plain,(
% 0.27/0.71 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 0.27/0.71 inference(cnf_transformation,[status(thm)],[f231])).
% 0.27/0.71 fof(f233,plain,(
% 0.27/0.71 ![A,B,P,Q]: (((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q))|perp(P,A,A,Q))),
% 0.27/0.71 inference(pre_NNF_transformation,[status(thm)],[f58])).
% 0.27/0.71 fof(f234,plain,(
% 0.27/0.71 ![A,P,Q]: ((![B]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q)))|perp(P,A,A,Q))),
% 0.27/0.71 inference(miniscoping,[status(thm)],[f233])).
% 0.27/0.71 fof(f235,plain,(
% 0.27/0.71 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|~cyclic(X0,X2,X1,X3)|perp(X1,X0,X0,X3))),
% 0.27/0.71 inference(cnf_transformation,[status(thm)],[f234])).
% 0.27/0.71 fof(f250,plain,(
% 0.27/0.71 ![A,B,C,D,M]: (((~midp(M,A,B)|~para(A,C,B,D))|~para(A,D,B,C))|midp(M,C,D))),
% 0.27/0.71 inference(pre_NNF_transformation,[status(thm)],[f65])).
% 0.27/0.71 fof(f251,plain,(
% 0.27/0.71 ![C,D,M]: ((![A,B]: ((~midp(M,A,B)|~para(A,C,B,D))|~para(A,D,B,C)))|midp(M,C,D))),
% 0.27/0.71 inference(miniscoping,[status(thm)],[f250])).
% 0.27/0.71 fof(f252,plain,(
% 0.27/0.71 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X1,X3,X2,X4)|~para(X1,X4,X2,X3)|midp(X0,X3,X4))),
% 0.27/0.71 inference(cnf_transformation,[status(thm)],[f251])).
% 0.27/0.71 fof(f255,plain,(
% 0.27/0.71 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 0.27/0.71 inference(pre_NNF_transformation,[status(thm)],[f67])).
% 0.27/0.71 fof(f256,plain,(
% 0.27/0.71 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 0.27/0.71 inference(cnf_transformation,[status(thm)],[f255])).
% 0.27/0.71 fof(f257,plain,(
% 0.27/0.71 ![A,B,C]: ((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))),
% 0.27/0.71 inference(pre_NNF_transformation,[status(thm)],[f68])).
% 0.27/0.71 fof(f258,plain,(
% 0.27/0.71 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|~coll(X0,X1,X2)|midp(X0,X1,X2))),
% 0.27/0.71 inference(cnf_transformation,[status(thm)],[f257])).
% 0.27/0.71 fof(f259,plain,(
% 0.27/0.71 ![A,B,C]: (~midp(A,B,C)|cong(A,B,A,C))),
% 0.27/0.71 inference(pre_NNF_transformation,[status(thm)],[f69])).
% 0.27/0.71 fof(f260,plain,(
% 0.27/0.71 ![X0,X1,X2]: (~midp(X0,X1,X2)|cong(X0,X1,X0,X2))),
% 0.27/0.71 inference(cnf_transformation,[status(thm)],[f259])).
% 0.27/0.71 fof(f261,plain,(
% 0.27/0.71 ![A,B,C]: (~midp(A,B,C)|coll(A,B,C))),
% 0.27/0.71 inference(pre_NNF_transformation,[status(thm)],[f70])).
% 0.27/0.71 fof(f262,plain,(
% 0.27/0.71 ![X0,X1,X2]: (~midp(X0,X1,X2)|coll(X0,X1,X2))),
% 0.27/0.71 inference(cnf_transformation,[status(thm)],[f261])).
% 0.27/0.71 fof(f269,plain,(
% 0.27/0.71 ![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))),
% 0.27/0.71 inference(pre_NNF_transformation,[status(thm)],[f74])).
% 0.27/0.71 fof(f270,plain,(
% 0.27/0.71 ![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))),
% 0.27/0.71 inference(miniscoping,[status(thm)],[f269])).
% 0.27/0.71 fof(f271,plain,(
% 0.27/0.71 ![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))),
% 0.27/0.71 inference(cnf_transformation,[status(thm)],[f270])).
% 0.27/0.71 fof(f369,plain,(
% 0.27/0.71 (?[A,B,C,D,E,F]: (((midp(D,B,A)&eqangle(E,D,D,A,E,D,D,C))&eqangle(F,D,D,B,F,D,D,C))&~para(E,F,A,B)))),
% 0.27/0.71 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 0.27/0.71 fof(f370,plain,(
% 0.27/0.71 ?[A,B,E,F]: ((?[C,D]: ((midp(D,B,A)&eqangle(E,D,D,A,E,D,D,C))&eqangle(F,D,D,B,F,D,D,C)))&~para(E,F,A,B))),
% 0.27/0.71 inference(miniscoping,[status(thm)],[f369])).
% 0.27/0.71 fof(f371,plain,(
% 0.27/0.71 (((midp(sK25_skl,sK21_skl,sK20_skl)&eqangle(sK22_skl,sK25_skl,sK25_skl,sK20_skl,sK22_skl,sK25_skl,sK25_skl,sK24_skl))&eqangle(sK23_skl,sK25_skl,sK25_skl,sK21_skl,sK23_skl,sK25_skl,sK25_skl,sK24_skl))&~para(sK22_skl,sK23_skl,sK20_skl,sK21_skl))),
% 0.27/0.71 inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl,sK21_skl,sK22_skl,sK23_skl,sK24_skl,sK25_skl]),skolemize(A,sK20_skl),skolemize(B,sK21_skl),skolemize(E,sK22_skl),skolemize(F,sK23_skl),skolemize(C,sK24_skl),skolemize(D,sK25_skl)],[f370])).
% 0.27/0.71 fof(f372,plain,(
% 0.27/0.71 midp(sK25_skl,sK21_skl,sK20_skl)),
% 0.27/0.71 inference(cnf_transformation,[status(thm)],[f371])).
% 0.27/0.71 fof(f375,plain,(
% 0.27/0.71 ~para(sK22_skl,sK23_skl,sK20_skl,sK21_skl)),
% 0.27/0.71 inference(cnf_transformation,[status(thm)],[f371])).
% 0.27/0.71 fof(f376,plain,(
% 0.27/0.71 midp(sK25_skl,sK20_skl,sK21_skl)),
% 0.27/0.71 inference(resolution,[status(thm)],[f122,f372])).
% 0.27/0.71 fof(f378,plain,(
% 0.27/0.71 coll(sK25_skl,sK20_skl,sK21_skl)),
% 0.27/0.71 inference(resolution,[status(thm)],[f262,f376])).
% 0.27/0.71 fof(f380,plain,(
% 0.27/0.71 cong(sK25_skl,sK20_skl,sK25_skl,sK21_skl)),
% 0.27/0.71 inference(resolution,[status(thm)],[f260,f376])).
% 0.27/0.71 fof(f381,plain,(
% 0.27/0.71 cong(sK25_skl,sK21_skl,sK25_skl,sK20_skl)),
% 0.27/0.71 inference(resolution,[status(thm)],[f260,f372])).
% 0.27/0.71 fof(f385,plain,(
% 0.27/0.71 coll(sK20_skl,sK25_skl,sK21_skl)),
% 0.27/0.71 inference(resolution,[status(thm)],[f100,f378])).
% 0.27/0.71 fof(f389,plain,(
% 0.27/0.71 coll(sK20_skl,sK21_skl,sK25_skl)),
% 0.27/0.71 inference(resolution,[status(thm)],[f385,f98])).
% 0.27/0.71 fof(f394,plain,(
% 0.27/0.71 cong(sK25_skl,sK21_skl,sK20_skl,sK25_skl)),
% 0.27/0.71 inference(resolution,[status(thm)],[f149,f381])).
% 0.27/0.71 fof(f395,plain,(
% 0.27/0.71 cong(sK25_skl,sK20_skl,sK21_skl,sK25_skl)),
% 0.27/0.72 inference(resolution,[status(thm)],[f149,f380])).
% 0.27/0.72 fof(f398,plain,(
% 0.27/0.72 ![X0]: (~coll(sK20_skl,sK21_skl,X0)|coll(X0,sK25_skl,sK20_skl))),
% 0.27/0.72 inference(resolution,[status(thm)],[f103,f389])).
% 0.27/0.72 fof(f406,plain,(
% 0.27/0.72 coll(sK25_skl,sK25_skl,sK20_skl)),
% 0.27/0.72 inference(resolution,[status(thm)],[f398,f389])).
% 0.27/0.72 fof(f409,plain,(
% 0.27/0.72 coll(sK25_skl,sK20_skl,sK25_skl)),
% 0.27/0.72 inference(resolution,[status(thm)],[f406,f98])).
% 0.27/0.72 fof(f411,plain,(
% 0.27/0.72 coll(sK20_skl,sK25_skl,sK25_skl)),
% 0.27/0.72 inference(resolution,[status(thm)],[f409,f100])).
% 0.27/0.72 fof(f476,plain,(
% 0.27/0.72 cong(sK20_skl,sK25_skl,sK25_skl,sK21_skl)),
% 0.27/0.72 inference(resolution,[status(thm)],[f151,f394])).
% 0.27/0.72 fof(f478,plain,(
% 0.27/0.72 cong(sK21_skl,sK25_skl,sK25_skl,sK20_skl)),
% 0.27/0.72 inference(resolution,[status(thm)],[f151,f395])).
% 0.27/0.72 fof(f481,plain,(
% 0.27/0.72 cong(sK20_skl,sK25_skl,sK21_skl,sK25_skl)),
% 0.27/0.72 inference(resolution,[status(thm)],[f476,f149])).
% 0.27/0.72 fof(f483,plain,(
% 0.27/0.72 cong(sK21_skl,sK25_skl,sK20_skl,sK25_skl)),
% 0.27/0.72 inference(resolution,[status(thm)],[f478,f149])).
% 0.27/0.72 fof(f584,plain,(
% 0.27/0.72 ![X0,X1]: (~cong(X0,X1,sK21_skl,sK25_skl)|cong(X0,X1,sK20_skl,sK25_skl))),
% 0.27/0.72 inference(resolution,[status(thm)],[f154,f483])).
% 0.27/0.72 fof(f592,plain,(
% 0.27/0.72 cong(sK20_skl,sK25_skl,sK20_skl,sK25_skl)),
% 0.27/0.72 inference(resolution,[status(thm)],[f584,f481])).
% 0.27/0.72 fof(f621,plain,(
% 0.27/0.72 ![X0,X1]: (~midp(X0,sK20_skl,X1)|para(X0,sK25_skl,X1,sK21_skl))),
% 0.27/0.72 inference(resolution,[status(thm)],[f201,f376])).
% 0.27/0.72 fof(f622,plain,(
% 0.27/0.72 ![X0,X1]: (~midp(X0,sK21_skl,X1)|para(X0,sK25_skl,X1,sK20_skl))),
% 0.27/0.72 inference(resolution,[status(thm)],[f201,f372])).
% 0.27/0.72 fof(f623,plain,(
% 0.27/0.72 para(sK25_skl,sK25_skl,sK21_skl,sK21_skl)),
% 0.27/0.72 inference(resolution,[status(thm)],[f621,f376])).
% 0.27/0.72 fof(f627,plain,(
% 0.27/0.72 para(sK21_skl,sK21_skl,sK25_skl,sK25_skl)),
% 0.27/0.72 inference(resolution,[status(thm)],[f623,f107])).
% 0.27/0.72 fof(f629,plain,(
% 0.27/0.72 ![X0,X1]: (eqangle(sK21_skl,sK21_skl,X0,X1,sK25_skl,sK25_skl,X0,X1))),
% 0.27/0.72 inference(resolution,[status(thm)],[f627,f189])).
% 0.27/0.72 fof(f634,plain,(
% 0.27/0.72 para(sK25_skl,sK25_skl,sK20_skl,sK20_skl)),
% 0.27/0.72 inference(resolution,[status(thm)],[f622,f372])).
% 0.27/0.72 fof(f638,plain,(
% 0.27/0.72 para(sK20_skl,sK20_skl,sK25_skl,sK25_skl)),
% 0.27/0.72 inference(resolution,[status(thm)],[f634,f107])).
% 0.27/0.72 fof(f640,plain,(
% 0.27/0.72 ![X0,X1]: (eqangle(sK20_skl,sK20_skl,X0,X1,sK25_skl,sK25_skl,X0,X1))),
% 0.27/0.72 inference(resolution,[status(thm)],[f638,f189])).
% 0.27/0.72 fof(f660,plain,(
% 0.27/0.72 ![X0,X1]: (eqangle(sK21_skl,sK21_skl,sK25_skl,sK25_skl,X0,X1,X0,X1))),
% 0.27/0.72 inference(resolution,[status(thm)],[f629,f144])).
% 0.27/0.72 fof(f672,plain,(
% 0.27/0.72 ![X0,X1]: (eqangle(sK20_skl,sK20_skl,sK25_skl,sK25_skl,X0,X1,X0,X1))),
% 0.27/0.72 inference(resolution,[status(thm)],[f640,f144])).
% 0.27/0.72 fof(f690,plain,(
% 0.27/0.72 ![X0,X1]: (eqangle(X0,X1,X0,X1,sK21_skl,sK21_skl,sK25_skl,sK25_skl))),
% 0.27/0.72 inference(resolution,[status(thm)],[f660,f142])).
% 0.27/0.72 fof(f712,plain,(
% 0.27/0.72 ![X0,X1]: (eqangle(X0,X1,X0,X1,sK20_skl,sK20_skl,sK25_skl,sK25_skl))),
% 0.27/0.72 inference(resolution,[status(thm)],[f672,f142])).
% 0.27/0.72 fof(f736,plain,(
% 0.27/0.72 ![X0,X1]: (eqangle(X0,X1,X1,X0,sK21_skl,sK21_skl,sK25_skl,sK25_skl))),
% 0.27/0.72 inference(resolution,[status(thm)],[f690,f138])).
% 0.27/0.72 fof(f1054,plain,(
% 0.27/0.72 ~coll(sK20_skl,sK25_skl,sK25_skl)|midp(sK20_skl,sK25_skl,sK25_skl)),
% 0.27/0.72 inference(resolution,[status(thm)],[f258,f592])).
% 0.27/0.72 fof(f1058,plain,(
% 0.27/0.72 midp(sK20_skl,sK25_skl,sK25_skl)),
% 0.27/0.72 inference(forward_subsumption_resolution,[status(thm)],[f1054,f411])).
% 0.27/0.72 fof(f1422,plain,(
% 0.27/0.72 ![X0,X1]: (~para(sK20_skl,sK20_skl,sK25_skl,sK25_skl)|para(X0,X1,X0,X1))),
% 0.27/0.72 inference(resolution,[status(thm)],[f271,f712])).
% 0.27/0.72 fof(f1423,plain,(
% 0.27/0.72 ![X0,X1]: (~para(sK21_skl,sK21_skl,sK25_skl,sK25_skl)|para(X0,X1,X1,X0))),
% 0.27/0.72 inference(resolution,[status(thm)],[f271,f736])).
% 0.27/0.72 fof(f1429,plain,(
% 0.27/0.72 ![X0,X1]: (para(X0,X1,X0,X1))),
% 0.27/0.72 inference(forward_subsumption_resolution,[status(thm)],[f1422,f638])).
% 0.27/0.72 fof(f1430,plain,(
% 0.27/0.72 ![X0,X1]: (para(X0,X1,X1,X0))),
% 0.27/0.72 inference(forward_subsumption_resolution,[status(thm)],[f1423,f627])).
% 0.27/0.72 fof(f1475,plain,(
% 0.27/0.72 ![X0,X1,X2]: (~midp(X0,X1,X1)|~para(X1,X2,X1,X2)|midp(X0,X2,X2))),
% 0.27/0.72 inference(resolution,[status(thm)],[f1429,f252])).
% 0.27/0.72 fof(f1477,plain,(
% 0.27/0.72 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X3,X0,X1,X2,X3))),
% 0.27/0.72 inference(resolution,[status(thm)],[f1429,f189])).
% 0.27/0.72 fof(f1482,plain,(
% 0.27/0.72 ![X0,X1]: (coll(X0,X1,X1))),
% 0.27/0.72 inference(resolution,[status(thm)],[f1429,f256])).
% 0.27/0.72 fof(f1483,plain,(
% 0.27/0.72 ![X0,X1,X2]: (~midp(X0,X1,X1)|midp(X0,X2,X2))),
% 0.27/0.72 inference(forward_subsumption_resolution,[status(thm)],[f1475,f1429])).
% 0.27/0.72 fof(f1527,plain,(
% 0.27/0.72 ![X0,X1]: (coll(X0,X1,X0))),
% 0.27/0.72 inference(resolution,[status(thm)],[f1482,f100])).
% 0.27/0.72 fof(f1573,plain,(
% 0.27/0.72 ![X0,X1]: (coll(X0,X0,X1))),
% 0.27/0.72 inference(resolution,[status(thm)],[f1527,f98])).
% 0.27/0.72 fof(f1583,plain,(
% 0.27/0.72 ![X0,X1,X2]: (~coll(X0,X0,X1)|coll(X1,X2,X0))),
% 0.27/0.72 inference(resolution,[status(thm)],[f1573,f103])).
% 0.27/0.72 fof(f1586,plain,(
% 0.27/0.72 ![X0,X1,X2]: (coll(X0,X1,X2))),
% 0.27/0.72 inference(forward_subsumption_resolution,[status(thm)],[f1583,f1573])).
% 0.27/0.72 fof(f1589,plain,(
% 0.27/0.72 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|midp(X0,X1,X2))),
% 0.27/0.72 inference(backward_subsumption_resolution,[status(thm)],[f258,f1586])).
% 0.27/0.72 fof(f1590,plain,(
% 0.27/0.72 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|cyclic(X1,X2,X0,X3))),
% 0.27/0.72 inference(backward_subsumption_resolution,[status(thm)],[f195,f1586])).
% 0.27/0.72 fof(f1591,plain,(
% 0.27/0.72 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X0,X3,X2,X4)|midp(X3,X1,X4))),
% 0.27/0.72 inference(backward_subsumption_resolution,[status(thm)],[f204,f1586])).
% 0.27/0.72 fof(f1638,plain,(
% 0.27/0.72 ![X0]: (midp(sK20_skl,X0,X0))),
% 0.27/0.72 inference(resolution,[status(thm)],[f1483,f1058])).
% 0.27/0.72 fof(f1645,plain,(
% 0.27/0.72 ![X0]: (cong(sK20_skl,X0,sK20_skl,X0))),
% 0.27/0.72 inference(resolution,[status(thm)],[f1638,f260])).
% 0.27/0.72 fof(f1666,plain,(
% 0.27/0.72 ![X0]: (cong(sK20_skl,X0,X0,sK20_skl))),
% 0.27/0.72 inference(resolution,[status(thm)],[f1645,f149])).
% 0.27/0.72 fof(f1711,plain,(
% 0.27/0.72 ![X0]: (cong(X0,sK20_skl,sK20_skl,X0))),
% 0.27/0.72 inference(resolution,[status(thm)],[f1666,f151])).
% 0.27/0.72 fof(f1771,plain,(
% 0.27/0.72 ![X0]: (cong(X0,sK20_skl,X0,sK20_skl))),
% 0.27/0.72 inference(resolution,[status(thm)],[f1711,f149])).
% 0.27/0.72 fof(f1804,plain,(
% 0.27/0.72 ![X0]: (midp(X0,sK20_skl,sK20_skl))),
% 0.27/0.72 inference(resolution,[status(thm)],[f1771,f1589])).
% 0.27/0.72 fof(f1819,plain,(
% 0.27/0.72 ![X0,X1]: (midp(X0,X1,X1))),
% 0.27/0.72 inference(resolution,[status(thm)],[f1804,f1483])).
% 0.27/0.72 fof(f1830,plain,(
% 0.27/0.72 ![X0,X1]: (cong(X0,X1,X0,X1))),
% 0.27/0.72 inference(resolution,[status(thm)],[f1819,f260])).
% 0.27/0.72 fof(f1965,plain,(
% 0.27/0.72 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X2,X1,X0))),
% 0.27/0.72 inference(resolution,[status(thm)],[f1591,f1430])).
% 0.27/0.72 fof(f1991,plain,(
% 0.27/0.72 ![X0,X1,X2]: (cyclic(X0,X1,X2,X2))),
% 0.27/0.72 inference(resolution,[status(thm)],[f1477,f1590])).
% 0.27/0.72 fof(f2007,plain,(
% 0.27/0.72 ![X0,X1,X2]: (cyclic(X0,X1,X2,X1))),
% 0.27/0.72 inference(resolution,[status(thm)],[f1991,f131])).
% 0.27/0.72 fof(f2011,plain,(
% 0.27/0.72 ![X0,X1,X2]: (cyclic(X0,X1,X2,X0))),
% 0.27/0.72 inference(resolution,[status(thm)],[f2007,f133])).
% 0.27/0.72 fof(f2018,plain,(
% 0.27/0.72 ![X0,X1,X2]: (cyclic(X0,X1,X0,X2))),
% 0.27/0.72 inference(resolution,[status(thm)],[f2011,f129])).
% 0.27/0.72 fof(f2026,plain,(
% 0.27/0.72 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X0,X2)|cyclic(X1,X0,X2,X3))),
% 0.27/0.72 inference(resolution,[status(thm)],[f2018,f136])).
% 0.27/0.72 fof(f2030,plain,(
% 0.27/0.72 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3))),
% 0.27/0.72 inference(forward_subsumption_resolution,[status(thm)],[f2026,f2018])).
% 0.27/0.72 fof(f2037,plain,(
% 0.27/0.72 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X1,X0,X0,X3))),
% 0.27/0.72 inference(backward_subsumption_resolution,[status(thm)],[f235,f2030])).
% 0.27/0.72 fof(f2151,plain,(
% 0.27/0.72 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X1,X0,X0,X2))),
% 0.27/0.72 inference(resolution,[status(thm)],[f2037,f1830])).
% 0.27/0.72 fof(f2152,plain,(
% 0.27/0.72 ![X0,X1,X2]: (perp(X0,X1,X1,X2))),
% 0.27/0.72 inference(forward_subsumption_resolution,[status(thm)],[f2151,f1830])).
% 0.27/0.72 fof(f2154,plain,(
% 0.27/0.72 ![X0,X1,X2,X3]: (~midp(X0,X1,X2)|cong(X1,X0,X3,X0))),
% 0.27/0.72 inference(backward_subsumption_resolution,[status(thm)],[f222,f2152])).
% 0.27/0.72 fof(f2173,plain,(
% 0.27/0.72 ![X0,X1]: (midp(X0,X0,X1))),
% 0.27/0.72 inference(resolution,[status(thm)],[f1965,f1819])).
% 0.27/0.72 fof(f2183,plain,(
% 0.27/0.72 ![X0,X1]: (midp(X0,X1,X0))),
% 0.27/0.72 inference(resolution,[status(thm)],[f2173,f122])).
% 0.27/0.72 fof(f2491,plain,(
% 0.27/0.72 ![X0,X1,X2]: (cong(X0,X1,X2,X1))),
% 0.27/0.72 inference(resolution,[status(thm)],[f2154,f2183])).
% 0.27/0.72 fof(f2494,plain,(
% 0.27/0.72 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|perp(X0,X2,X3,X1))),
% 0.27/0.72 inference(backward_subsumption_resolution,[status(thm)],[f232,f2491])).
% 0.27/0.72 fof(f2502,plain,(
% 0.27/0.72 ![X0,X1,X2,X3]: (perp(X0,X1,X2,X3))),
% 0.27/0.72 inference(forward_subsumption_resolution,[status(thm)],[f2494,f2491])).
% 0.27/0.72 fof(f2503,plain,(
% 0.27/0.72 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|para(X4,X5,X2,X3))),
% 0.27/0.72 inference(backward_subsumption_resolution,[status(thm)],[f117,f2502])).
% 0.27/0.72 fof(f2505,plain,(
% 0.27/0.72 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3))),
% 0.27/0.72 inference(forward_subsumption_resolution,[status(thm)],[f2503,f2502])).
% 0.27/0.72 fof(f2515,plain,(
% 0.27/0.72 $false),
% 0.27/0.72 inference(backward_subsumption_resolution,[status(thm)],[f375,f2505])).
% 0.27/0.72 % SZS output end CNFRefutation for theBenchmark.p
% 0.27/0.73 % Elapsed time: 0.306919 seconds
% 0.27/0.73 % CPU time: 2.188509 seconds
% 0.27/0.73 % Total memory used: 102.207 MB
% 0.27/0.73 % Net memory used: 100.097 MB
%------------------------------------------------------------------------------