%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO647+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 : n026.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 12:26:46 PM UTC 2026
% Result : Theorem 3.92s 1.00s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO647+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n026.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 20 18:17:08 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 3.92/1.00 % Refutation found
% 3.92/1.00 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.92/1.00 % SZS output start CNFRefutation for theBenchmark
% 3.92/1.00 fof(f1,axiom,(
% 3.92/1.00 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 3.92/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.92/1.00 fof(f2,axiom,(
% 3.92/1.00 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 3.92/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.92/1.00 fof(f3,axiom,(
% 3.92/1.00 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 3.92/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.92/1.00 fof(f5,axiom,(
% 3.92/1.00 (! [A,B,C,D] :( para(A,B,C,D)=> para(C,D,A,B) ) )),
% 3.92/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.92/1.00 fof(f6,axiom,(
% 3.92/1.00 (! [A,B,C,D,E,F] :( ( para(A,B,C,D)& para(C,D,E,F) )=> para(A,B,E,F) ) )),
% 3.92/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.92/1.00 fof(f7,axiom,(
% 3.92/1.00 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(A,B,D,C) ) )),
% 3.92/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.92/1.00 fof(f8,axiom,(
% 3.92/1.00 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 3.92/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.92/1.00 fof(f11,axiom,(
% 3.92/1.00 (! [A,B,M] :( midp(M,B,A)=> midp(M,A,B) ) )),
% 3.92/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.92/1.00 fof(f17,axiom,(
% 3.92/1.00 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 3.92/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.92/1.00 fof(f18,axiom,(
% 3.92/1.00 (! [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) ) )),
% 3.92/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.92/1.00 fof(f19,axiom,(
% 3.92/1.00 (! [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) ) )),
% 3.92/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.92/1.00 fof(f21,axiom,(
% 3.92/1.00 (! [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) ) )),
% 3.92/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.92/1.00 fof(f23,axiom,(
% 3.92/1.00 (! [A,B,C,D] :( cong(A,B,C,D)=> cong(A,B,D,C) ) )),
% 3.92/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.92/1.00 fof(f24,axiom,(
% 3.92/1.00 (! [A,B,C,D] :( cong(A,B,C,D)=> cong(C,D,A,B) ) )),
% 3.92/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.92/1.00 fof(f25,axiom,(
% 3.92/1.00 (! [A,B,C,D,E,F] :( ( cong(A,B,C,D)& cong(C,D,E,F) )=> cong(A,B,E,F) ) )),
% 3.92/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.92/1.00 fof(f40,axiom,(
% 3.92/1.00 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 3.92/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.92/1.00 fof(f43,axiom,(
% 3.92/1.00 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 3.92/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.92/1.00 fof(f46,axiom,(
% 3.92/1.00 (! [A,B,C,E,F] :( ( midp(E,A,B)& para(E,F,B,C)& coll(F,A,C) )=> midp(F,A,C) ) )),
% 3.92/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.92/1.00 fof(f53,axiom,(
% 3.92/1.00 (! [A,B,C,M] :( ( perp(A,B,B,C)& midp(M,A,C) )=> cong(A,M,B,M) ) )),
% 3.92/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.92/1.00 fof(f56,axiom,(
% 3.92/1.00 (! [A,B,M,O] :( ( midp(M,A,B)& perp(O,M,A,B) )=> cong(O,A,O,B) ) )),
% 3.92/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.92/1.00 fof(f58,axiom,(
% 3.92/1.00 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q)& cyclic(A,B,P,Q) )=> perp(P,A,A,Q) ) )),
% 3.92/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.92/1.00 fof(f64,axiom,(
% 3.92/1.00 (! [A,B,C,D,M] :( ( midp(M,A,B)& midp(M,C,D) )=> para(A,C,B,D) ) )),
% 3.92/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.92/1.00 fof(f65,axiom,(
% 3.92/1.00 (! [A,B,C,D,M] :( ( midp(M,A,B)& para(A,C,B,D)& para(A,D,B,C) )=> midp(M,C,D) ) )),
% 3.92/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.92/1.00 fof(f67,axiom,(
% 3.92/1.00 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 3.92/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.92/1.00 fof(f68,axiom,(
% 3.92/1.00 (! [A,B,C] :( ( cong(A,B,A,C)& coll(A,B,C) )=> midp(A,B,C) ) )),
% 3.92/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.92/1.00 fof(f69,axiom,(
% 3.92/1.00 (! [A,B,C] :( midp(A,B,C)=> cong(A,B,A,C) ) )),
% 3.92/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.92/1.00 fof(f74,axiom,(
% 3.92/1.00 (! [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) ) )),
% 3.92/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.92/1.01 fof(f95,conjecture,(
% 3.92/1.01 (! [A,B,C,D,E,F,G] :( ( midp(D,A,C)& midp(E,B,A)& midp(F,C,B)& para(A,F,G,D)& para(A,C,G,F) )=> para(C,E,G,B) ) )),
% 3.92/1.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.92/1.01 fof(f96,negated_conjecture,(
% 3.92/1.01 ~((! [A,B,C,D,E,F,G] :( ( midp(D,A,C)& midp(E,B,A)& midp(F,C,B)& para(A,F,G,D)& para(A,C,G,F) )=> para(C,E,G,B) ) ))),
% 3.92/1.01 inference(negated_conjecture,[status(cth)],[f95])).
% 3.92/1.01 fof(f97,plain,(
% 3.92/1.01 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 3.92/1.01 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 3.92/1.01 fof(f98,plain,(
% 3.92/1.01 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 3.92/1.01 inference(cnf_transformation,[status(thm)],[f97])).
% 3.92/1.01 fof(f99,plain,(
% 3.92/1.01 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 3.92/1.01 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 3.92/1.01 fof(f100,plain,(
% 3.92/1.01 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 3.92/1.01 inference(cnf_transformation,[status(thm)],[f99])).
% 3.92/1.01 fof(f101,plain,(
% 3.92/1.01 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 3.92/1.01 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 3.92/1.01 fof(f102,plain,(
% 3.92/1.01 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 3.92/1.01 inference(miniscoping,[status(thm)],[f101])).
% 3.92/1.01 fof(f103,plain,(
% 3.92/1.01 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 3.92/1.01 inference(cnf_transformation,[status(thm)],[f102])).
% 3.92/1.01 fof(f106,plain,(
% 3.92/1.01 ![A,B,C,D]: (~para(A,B,C,D)|para(C,D,A,B))),
% 3.92/1.01 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 3.92/1.01 fof(f107,plain,(
% 3.92/1.01 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X2,X3,X0,X1))),
% 3.92/1.01 inference(cnf_transformation,[status(thm)],[f106])).
% 3.92/1.01 fof(f108,plain,(
% 3.92/1.01 ![A,B,C,D,E,F]: ((~para(A,B,C,D)|~para(C,D,E,F))|para(A,B,E,F))),
% 3.92/1.01 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 3.92/1.01 fof(f109,plain,(
% 3.92/1.01 ![A,B,E,F]: ((![C,D]: (~para(A,B,C,D)|~para(C,D,E,F)))|para(A,B,E,F))),
% 3.92/1.01 inference(miniscoping,[status(thm)],[f108])).
% 3.92/1.01 fof(f110,plain,(
% 3.92/1.01 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|~para(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 3.92/1.01 inference(cnf_transformation,[status(thm)],[f109])).
% 3.92/1.01 fof(f111,plain,(
% 3.92/1.01 ![A,B,C,D]: (~perp(A,B,C,D)|perp(A,B,D,C))),
% 3.92/1.01 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 3.92/1.01 fof(f112,plain,(
% 3.92/1.01 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X0,X1,X3,X2))),
% 3.92/1.01 inference(cnf_transformation,[status(thm)],[f111])).
% 3.92/1.01 fof(f113,plain,(
% 3.92/1.01 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 3.92/1.01 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 3.92/1.01 fof(f114,plain,(
% 3.92/1.01 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 3.92/1.01 inference(cnf_transformation,[status(thm)],[f113])).
% 3.92/1.01 fof(f121,plain,(
% 3.92/1.01 ![A,B,M]: (~midp(M,B,A)|midp(M,A,B))),
% 3.92/1.01 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 3.92/1.01 fof(f122,plain,(
% 3.92/1.01 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X0,X2,X1))),
% 3.92/1.01 inference(cnf_transformation,[status(thm)],[f121])).
% 3.92/1.01 fof(f134,plain,(
% 3.92/1.01 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 3.92/1.01 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 3.92/1.01 fof(f135,plain,(
% 3.92/1.01 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 3.92/1.01 inference(miniscoping,[status(thm)],[f134])).
% 3.92/1.01 fof(f136,plain,(
% 3.92/1.01 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 3.92/1.01 inference(cnf_transformation,[status(thm)],[f135])).
% 3.92/1.01 fof(f137,plain,(
% 3.92/1.01 ![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))),
% 3.92/1.01 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 3.92/1.01 fof(f138,plain,(
% 3.92/1.01 ![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))),
% 3.92/1.01 inference(cnf_transformation,[status(thm)],[f137])).
% 3.92/1.01 fof(f139,plain,(
% 3.92/1.01 ![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))),
% 3.92/1.01 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 3.92/1.01 fof(f140,plain,(
% 3.92/1.01 ![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))),
% 3.92/1.01 inference(cnf_transformation,[status(thm)],[f139])).
% 3.92/1.01 fof(f143,plain,(
% 3.92/1.01 ![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))),
% 3.92/1.01 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 3.92/1.01 fof(f144,plain,(
% 3.92/1.01 ![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))),
% 3.92/1.01 inference(cnf_transformation,[status(thm)],[f143])).
% 3.92/1.01 fof(f148,plain,(
% 3.92/1.01 ![A,B,C,D]: (~cong(A,B,C,D)|cong(A,B,D,C))),
% 3.92/1.01 inference(pre_NNF_transformation,[status(thm)],[f23])).
% 3.92/1.01 fof(f149,plain,(
% 3.92/1.01 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X3)|cong(X0,X1,X3,X2))),
% 3.92/1.01 inference(cnf_transformation,[status(thm)],[f148])).
% 3.92/1.01 fof(f150,plain,(
% 3.92/1.01 ![A,B,C,D]: (~cong(A,B,C,D)|cong(C,D,A,B))),
% 3.92/1.01 inference(pre_NNF_transformation,[status(thm)],[f24])).
% 3.92/1.01 fof(f151,plain,(
% 3.92/1.01 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X3)|cong(X2,X3,X0,X1))),
% 3.92/1.01 inference(cnf_transformation,[status(thm)],[f150])).
% 3.92/1.01 fof(f152,plain,(
% 3.92/1.01 ![A,B,C,D,E,F]: ((~cong(A,B,C,D)|~cong(C,D,E,F))|cong(A,B,E,F))),
% 3.92/1.01 inference(pre_NNF_transformation,[status(thm)],[f25])).
% 3.92/1.01 fof(f153,plain,(
% 3.92/1.01 ![A,B,E,F]: ((![C,D]: (~cong(A,B,C,D)|~cong(C,D,E,F)))|cong(A,B,E,F))),
% 3.92/1.01 inference(miniscoping,[status(thm)],[f152])).
% 3.92/1.01 fof(f154,plain,(
% 3.92/1.01 ![X0,X1,X2,X3,X4,X5]: (~cong(X0,X1,X2,X3)|~cong(X2,X3,X4,X5)|cong(X0,X1,X4,X5))),
% 3.92/1.01 inference(cnf_transformation,[status(thm)],[f153])).
% 3.92/1.01 fof(f187,plain,(
% 3.92/1.01 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 3.92/1.01 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 3.92/1.01 fof(f188,plain,(
% 3.92/1.01 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 3.92/1.01 inference(miniscoping,[status(thm)],[f187])).
% 3.92/1.01 fof(f189,plain,(
% 3.92/1.01 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 3.92/1.01 inference(cnf_transformation,[status(thm)],[f188])).
% 3.92/1.01 fof(f194,plain,(
% 3.92/1.01 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 3.92/1.01 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 3.92/1.01 fof(f195,plain,(
% 3.92/1.01 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 3.92/1.01 inference(cnf_transformation,[status(thm)],[f194])).
% 3.92/1.01 fof(f202,plain,(
% 3.92/1.01 ![A,B,C,E,F]: (((~midp(E,A,B)|~para(E,F,B,C))|~coll(F,A,C))|midp(F,A,C))),
% 3.92/1.01 inference(pre_NNF_transformation,[status(thm)],[f46])).
% 3.92/1.01 fof(f203,plain,(
% 3.92/1.01 ![A,C,F]: (((![B,E]: (~midp(E,A,B)|~para(E,F,B,C)))|~coll(F,A,C))|midp(F,A,C))),
% 3.92/1.01 inference(miniscoping,[status(thm)],[f202])).
% 3.92/1.01 fof(f204,plain,(
% 3.92/1.01 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X0,X3,X2,X4)|~coll(X3,X1,X4)|midp(X3,X1,X4))),
% 3.92/1.01 inference(cnf_transformation,[status(thm)],[f203])).
% 3.92/1.01 fof(f220,plain,(
% 3.92/1.01 ![A,B,C,M]: ((~perp(A,B,B,C)|~midp(M,A,C))|cong(A,M,B,M))),
% 3.92/1.01 inference(pre_NNF_transformation,[status(thm)],[f53])).
% 3.92/1.01 fof(f221,plain,(
% 3.92/1.01 ![A,B,M]: ((![C]: (~perp(A,B,B,C)|~midp(M,A,C)))|cong(A,M,B,M))),
% 3.92/1.01 inference(miniscoping,[status(thm)],[f220])).
% 3.92/1.01 fof(f222,plain,(
% 3.92/1.01 ![X0,X1,X2,X3]: (~perp(X0,X1,X1,X2)|~midp(X3,X0,X2)|cong(X0,X3,X1,X3))),
% 3.92/1.01 inference(cnf_transformation,[status(thm)],[f221])).
% 3.92/1.01 fof(f228,plain,(
% 3.92/1.01 ![A,B,M,O]: ((~midp(M,A,B)|~perp(O,M,A,B))|cong(O,A,O,B))),
% 3.92/1.01 inference(pre_NNF_transformation,[status(thm)],[f56])).
% 3.92/1.01 fof(f229,plain,(
% 3.92/1.01 ![A,B,O]: ((![M]: (~midp(M,A,B)|~perp(O,M,A,B)))|cong(O,A,O,B))),
% 3.92/1.01 inference(miniscoping,[status(thm)],[f228])).
% 3.92/1.01 fof(f230,plain,(
% 3.92/1.01 ![X0,X1,X2,X3]: (~midp(X0,X1,X2)|~perp(X3,X0,X1,X2)|cong(X3,X1,X3,X2))),
% 3.92/1.01 inference(cnf_transformation,[status(thm)],[f229])).
% 3.92/1.01 fof(f233,plain,(
% 3.92/1.01 ![A,B,P,Q]: (((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q))|perp(P,A,A,Q))),
% 3.92/1.01 inference(pre_NNF_transformation,[status(thm)],[f58])).
% 3.92/1.01 fof(f234,plain,(
% 3.92/1.01 ![A,P,Q]: ((![B]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q)))|perp(P,A,A,Q))),
% 3.92/1.01 inference(miniscoping,[status(thm)],[f233])).
% 3.92/1.01 fof(f235,plain,(
% 3.92/1.01 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|~cyclic(X0,X2,X1,X3)|perp(X1,X0,X0,X3))),
% 3.92/1.01 inference(cnf_transformation,[status(thm)],[f234])).
% 3.92/1.01 fof(f247,plain,(
% 3.92/1.01 ![A,B,C,D,M]: ((~midp(M,A,B)|~midp(M,C,D))|para(A,C,B,D))),
% 3.92/1.01 inference(pre_NNF_transformation,[status(thm)],[f64])).
% 3.92/1.01 fof(f248,plain,(
% 3.92/1.01 ![A,B,C,D]: ((![M]: (~midp(M,A,B)|~midp(M,C,D)))|para(A,C,B,D))),
% 3.92/1.01 inference(miniscoping,[status(thm)],[f247])).
% 3.92/1.01 fof(f249,plain,(
% 3.92/1.01 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~midp(X0,X3,X4)|para(X1,X3,X2,X4))),
% 3.92/1.01 inference(cnf_transformation,[status(thm)],[f248])).
% 3.92/1.01 fof(f250,plain,(
% 3.92/1.01 ![A,B,C,D,M]: (((~midp(M,A,B)|~para(A,C,B,D))|~para(A,D,B,C))|midp(M,C,D))),
% 3.92/1.01 inference(pre_NNF_transformation,[status(thm)],[f65])).
% 3.92/1.01 fof(f251,plain,(
% 3.92/1.01 ![C,D,M]: ((![A,B]: ((~midp(M,A,B)|~para(A,C,B,D))|~para(A,D,B,C)))|midp(M,C,D))),
% 3.92/1.01 inference(miniscoping,[status(thm)],[f250])).
% 3.92/1.01 fof(f252,plain,(
% 3.92/1.01 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X1,X3,X2,X4)|~para(X1,X4,X2,X3)|midp(X0,X3,X4))),
% 3.92/1.01 inference(cnf_transformation,[status(thm)],[f251])).
% 3.92/1.01 fof(f255,plain,(
% 3.92/1.01 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 3.92/1.01 inference(pre_NNF_transformation,[status(thm)],[f67])).
% 3.92/1.01 fof(f256,plain,(
% 3.92/1.01 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 3.92/1.01 inference(cnf_transformation,[status(thm)],[f255])).
% 3.92/1.01 fof(f257,plain,(
% 3.92/1.01 ![A,B,C]: ((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))),
% 3.92/1.01 inference(pre_NNF_transformation,[status(thm)],[f68])).
% 3.92/1.01 fof(f258,plain,(
% 3.92/1.01 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|~coll(X0,X1,X2)|midp(X0,X1,X2))),
% 3.92/1.01 inference(cnf_transformation,[status(thm)],[f257])).
% 3.92/1.01 fof(f259,plain,(
% 3.92/1.01 ![A,B,C]: (~midp(A,B,C)|cong(A,B,A,C))),
% 3.92/1.01 inference(pre_NNF_transformation,[status(thm)],[f69])).
% 3.92/1.01 fof(f260,plain,(
% 3.92/1.01 ![X0,X1,X2]: (~midp(X0,X1,X2)|cong(X0,X1,X0,X2))),
% 3.92/1.01 inference(cnf_transformation,[status(thm)],[f259])).
% 4.29/1.01 fof(f269,plain,(
% 4.29/1.01 ![A,B,C,D,P,Q,U,V]: ((~eqangle(A,B,C,D,P,Q,U,V)|~para(P,Q,U,V))|para(A,B,C,D))),
% 4.29/1.01 inference(pre_NNF_transformation,[status(thm)],[f74])).
% 4.29/1.01 fof(f270,plain,(
% 4.29/1.01 ![A,B,C,D]: ((![P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|~para(P,Q,U,V)))|para(A,B,C,D))),
% 4.29/1.01 inference(miniscoping,[status(thm)],[f269])).
% 4.29/1.01 fof(f271,plain,(
% 4.29/1.01 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|~para(X4,X5,X6,X7)|para(X0,X1,X2,X3))),
% 4.29/1.01 inference(cnf_transformation,[status(thm)],[f270])).
% 4.29/1.01 fof(f369,plain,(
% 4.29/1.01 (?[A,B,C,D,E,F,G]: (((((midp(D,A,C)&midp(E,B,A))&midp(F,C,B))¶(A,F,G,D))¶(A,C,G,F))&~para(C,E,G,B)))),
% 4.29/1.01 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 4.29/1.01 fof(f370,plain,(
% 4.29/1.01 ?[B,C,E,G]: ((?[A,F]: ((?[D]: (((midp(D,A,C)&midp(E,B,A))&midp(F,C,B))¶(A,F,G,D)))¶(A,C,G,F)))&~para(C,E,G,B))),
% 4.29/1.01 inference(miniscoping,[status(thm)],[f369])).
% 4.29/1.01 fof(f371,plain,(
% 4.29/1.01 (((((midp(sK26_skl,sK24_skl,sK21_skl)&midp(sK22_skl,sK20_skl,sK24_skl))&midp(sK25_skl,sK21_skl,sK20_skl))¶(sK24_skl,sK25_skl,sK23_skl,sK26_skl))¶(sK24_skl,sK21_skl,sK23_skl,sK25_skl))&~para(sK21_skl,sK22_skl,sK23_skl,sK20_skl))),
% 4.29/1.01 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(C,sK21_skl),skolemize(E,sK22_skl),skolemize(G,sK23_skl),skolemize(A,sK24_skl),skolemize(F,sK25_skl),skolemize(D,sK26_skl)],[f370])).
% 4.29/1.01 fof(f372,plain,(
% 4.29/1.01 midp(sK26_skl,sK24_skl,sK21_skl)),
% 4.29/1.01 inference(cnf_transformation,[status(thm)],[f371])).
% 4.29/1.01 fof(f374,plain,(
% 4.29/1.01 midp(sK25_skl,sK21_skl,sK20_skl)),
% 4.29/1.01 inference(cnf_transformation,[status(thm)],[f371])).
% 4.29/1.01 fof(f375,plain,(
% 4.29/1.01 para(sK24_skl,sK25_skl,sK23_skl,sK26_skl)),
% 4.29/1.01 inference(cnf_transformation,[status(thm)],[f371])).
% 4.29/1.01 fof(f377,plain,(
% 4.29/1.01 ~para(sK21_skl,sK22_skl,sK23_skl,sK20_skl)),
% 4.29/1.01 inference(cnf_transformation,[status(thm)],[f371])).
% 4.29/1.01 fof(f378,plain,(
% 4.29/1.01 midp(sK25_skl,sK20_skl,sK21_skl)),
% 4.29/1.01 inference(resolution,[status(thm)],[f122,f374])).
% 4.29/1.01 fof(f393,plain,(
% 4.29/1.01 para(sK23_skl,sK26_skl,sK24_skl,sK25_skl)),
% 4.29/1.01 inference(resolution,[status(thm)],[f107,f375])).
% 4.29/1.01 fof(f449,plain,(
% 4.29/1.01 ![X0,X1]: (~para(X0,X1,sK24_skl,sK25_skl)|para(X0,X1,sK23_skl,sK26_skl))),
% 4.29/1.01 inference(resolution,[status(thm)],[f110,f375])).
% 4.29/1.01 fof(f467,plain,(
% 4.29/1.01 cong(sK25_skl,sK20_skl,sK25_skl,sK21_skl)),
% 4.29/1.01 inference(resolution,[status(thm)],[f260,f378])).
% 4.29/1.01 fof(f468,plain,(
% 4.29/1.01 cong(sK25_skl,sK21_skl,sK25_skl,sK20_skl)),
% 4.29/1.01 inference(resolution,[status(thm)],[f260,f374])).
% 4.29/1.01 fof(f474,plain,(
% 4.29/1.01 ![X0,X1]: (eqangle(sK23_skl,sK26_skl,X0,X1,sK24_skl,sK25_skl,X0,X1))),
% 4.29/1.01 inference(resolution,[status(thm)],[f189,f393])).
% 4.29/1.01 fof(f484,plain,(
% 4.29/1.01 cong(sK25_skl,sK21_skl,sK20_skl,sK25_skl)),
% 4.29/1.01 inference(resolution,[status(thm)],[f149,f468])).
% 4.29/1.01 fof(f485,plain,(
% 4.29/1.01 cong(sK25_skl,sK20_skl,sK21_skl,sK25_skl)),
% 4.29/1.01 inference(resolution,[status(thm)],[f149,f467])).
% 4.29/1.01 fof(f500,plain,(
% 4.29/1.01 cong(sK20_skl,sK25_skl,sK25_skl,sK21_skl)),
% 4.29/1.01 inference(resolution,[status(thm)],[f151,f484])).
% 4.29/1.01 fof(f502,plain,(
% 4.29/1.01 cong(sK21_skl,sK25_skl,sK25_skl,sK20_skl)),
% 4.29/1.01 inference(resolution,[status(thm)],[f151,f485])).
% 4.29/1.01 fof(f538,plain,(
% 4.29/1.01 cong(sK20_skl,sK25_skl,sK21_skl,sK25_skl)),
% 4.29/1.01 inference(resolution,[status(thm)],[f500,f149])).
% 4.29/1.01 fof(f540,plain,(
% 4.29/1.01 cong(sK21_skl,sK25_skl,sK20_skl,sK25_skl)),
% 4.29/1.01 inference(resolution,[status(thm)],[f502,f149])).
% 4.29/1.01 fof(f545,plain,(
% 4.29/1.01 para(sK23_skl,sK26_skl,sK23_skl,sK26_skl)),
% 4.29/1.01 inference(resolution,[status(thm)],[f449,f393])).
% 4.29/1.01 fof(f646,plain,(
% 4.29/1.01 ![X0,X1]: (~cong(X0,X1,sK20_skl,sK25_skl)|cong(X0,X1,sK21_skl,sK25_skl))),
% 4.29/1.01 inference(resolution,[status(thm)],[f154,f538])).
% 4.29/1.01 fof(f670,plain,(
% 4.29/1.01 cong(sK21_skl,sK25_skl,sK21_skl,sK25_skl)),
% 4.29/1.01 inference(resolution,[status(thm)],[f646,f540])).
% 4.29/1.01 fof(f673,plain,(
% 4.29/1.01 ~coll(sK21_skl,sK25_skl,sK25_skl)|midp(sK21_skl,sK25_skl,sK25_skl)),
% 4.29/1.01 inference(resolution,[status(thm)],[f670,f258])).
% 4.29/1.01 fof(f682,definition,(
% 4.29/1.01 sQ12_spl <=> (coll(sK21_skl,sK25_skl,sK25_skl))),
% 4.29/1.01 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 4.29/1.01 fof(f684,plain,(
% 4.29/1.01 ~coll(sK21_skl,sK25_skl,sK25_skl)|sQ12_spl),
% 4.29/1.01 inference(component_clause,[status(thm)],[f682])).
% 4.29/1.01 fof(f685,definition,(
% 4.29/1.01 sQ13_spl <=> (midp(sK21_skl,sK25_skl,sK25_skl))),
% 4.29/1.01 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 4.29/1.01 fof(f686,plain,(
% 4.29/1.01 midp(sK21_skl,sK25_skl,sK25_skl)|~sQ13_spl),
% 4.29/1.01 inference(component_clause,[status(thm)],[f685])).
% 4.29/1.01 fof(f688,plain,(
% 4.29/1.01 ~sQ12_spl|sQ13_spl),
% 4.29/1.01 inference(split_clause,[status(thm)],[f673,f682,f685])).
% 4.29/1.01 fof(f719,plain,(
% 4.29/1.01 ![X0,X1]: (eqangle(sK26_skl,sK23_skl,X0,X1,sK24_skl,sK25_skl,X0,X1))),
% 4.29/1.01 inference(resolution,[status(thm)],[f138,f474])).
% 4.29/1.01 fof(f752,plain,(
% 4.29/1.01 ![X0,X1]: (eqangle(X0,X1,sK26_skl,sK23_skl,X0,X1,sK24_skl,sK25_skl))),
% 4.29/1.01 inference(resolution,[status(thm)],[f719,f140])).
% 4.29/1.01 fof(f893,plain,(
% 4.29/1.01 ![X0,X1]: (eqangle(sK26_skl,sK23_skl,sK24_skl,sK25_skl,X0,X1,X0,X1))),
% 4.29/1.01 inference(resolution,[status(thm)],[f144,f719])).
% 4.29/1.01 fof(f908,plain,(
% 4.29/1.01 ![X0,X1]: (eqangle(X0,X1,X0,X1,sK26_skl,sK23_skl,sK24_skl,sK25_skl))),
% 4.29/1.01 inference(resolution,[status(thm)],[f144,f752])).
% 4.29/1.01 fof(f1118,definition,(
% 4.29/1.01 ![X0,X1]: (sQ30_spl <=> (~para(X0,X1,X0,X1)))),
% 4.29/1.01 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 4.29/1.01 fof(f1119,plain,(
% 4.29/1.01 ![X0,X1]: (~para(X0,X1,X0,X1)|~sQ30_spl)),
% 4.29/1.01 inference(component_clause,[status(thm)],[f1118])).
% 4.29/1.01 fof(f1125,plain,(
% 4.29/1.01 $false|~sQ30_spl),
% 4.29/1.01 inference(backward_subsumption_resolution,[status(thm)],[f545,f1119])).
% 4.29/1.01 fof(f1127,plain,(
% 4.29/1.01 ~sQ30_spl),
% 4.29/1.01 inference(contradiction_clause,[status(thm)],[f1125])).
% 4.29/1.01 fof(f1128,plain,(
% 4.29/1.01 ![X0,X1]: (~para(X0,X1,X0,X1)|para(sK26_skl,sK23_skl,sK24_skl,sK25_skl))),
% 4.29/1.01 inference(resolution,[status(thm)],[f893,f271])).
% 4.29/1.01 fof(f1135,definition,(
% 4.29/1.01 sQ32_spl <=> (para(sK26_skl,sK23_skl,sK24_skl,sK25_skl))),
% 4.29/1.01 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 4.29/1.01 fof(f1138,plain,(
% 4.29/1.01 sQ30_spl|sQ32_spl),
% 4.29/1.01 inference(split_clause,[status(thm)],[f1128,f1118,f1135])).
% 4.29/1.01 fof(f1293,plain,(
% 4.29/1.01 ![X0,X1]: (~para(sK26_skl,sK23_skl,sK24_skl,sK25_skl)|para(X0,X1,X0,X1))),
% 4.29/1.01 inference(resolution,[status(thm)],[f908,f271])).
% 4.29/1.01 fof(f1300,definition,(
% 4.29/1.01 ![X0,X1]: (sQ47_spl <=> (para(X0,X1,X0,X1)))),
% 4.29/1.01 introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition])).
% 4.29/1.01 fof(f1301,plain,(
% 4.29/1.01 ![X0,X1]: (para(X0,X1,X0,X1)|~sQ47_spl)),
% 4.29/1.01 inference(component_clause,[status(thm)],[f1300])).
% 4.29/1.01 fof(f1303,plain,(
% 4.29/1.01 ~sQ32_spl|sQ47_spl),
% 4.29/1.01 inference(split_clause,[status(thm)],[f1293,f1135,f1300])).
% 4.29/1.01 fof(f1306,plain,(
% 4.29/1.01 ![X0,X1,X2]: (~midp(X0,X1,X1)|~para(X1,X2,X1,X2)|midp(X0,X2,X2)|~sQ47_spl)),
% 4.29/1.01 inference(resolution,[status(thm)],[f1301,f252])).
% 4.29/1.01 fof(f1307,plain,(
% 4.29/1.01 ![X0,X1,X2]: (~midp(X0,X1,X0)|~coll(X2,X1,X2)|midp(X2,X1,X2)|~sQ47_spl)),
% 4.29/1.01 inference(resolution,[status(thm)],[f1301,f204])).
% 4.29/1.01 fof(f1308,plain,(
% 4.29/1.01 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X3,X0,X1,X2,X3)|~sQ47_spl)),
% 4.29/1.01 inference(resolution,[status(thm)],[f1301,f189])).
% 4.29/1.01 fof(f1309,plain,(
% 4.29/1.01 ![X0,X1]: (coll(X0,X1,X1)|~sQ47_spl)),
% 4.29/1.01 inference(resolution,[status(thm)],[f1301,f256])).
% 4.29/1.01 fof(f1313,plain,(
% 4.29/1.01 ![X0,X1,X2]: (~midp(X0,X1,X1)|midp(X0,X2,X2)|~sQ47_spl)),
% 4.29/1.01 inference(forward_subsumption_resolution,[status(thm)],[f1306,f1301])).
% 4.29/1.01 fof(f1315,plain,(
% 4.29/1.01 $false|~sQ47_spl|sQ12_spl),
% 4.29/1.01 inference(backward_subsumption_resolution,[status(thm)],[f684,f1309])).
% 4.29/1.01 fof(f1317,plain,(
% 4.29/1.01 ~sQ47_spl|sQ12_spl),
% 4.29/1.01 inference(contradiction_clause,[status(thm)],[f1315])).
% 4.29/1.01 fof(f1319,plain,(
% 4.29/1.01 ![X0,X1]: (coll(X0,X1,X0)|~sQ47_spl)),
% 4.29/1.01 inference(resolution,[status(thm)],[f1309,f100])).
% 4.29/1.01 fof(f1321,plain,(
% 4.29/1.01 ![X0,X1,X2]: (~midp(X0,X1,X0)|midp(X2,X1,X2)|~sQ47_spl)),
% 4.29/1.01 inference(backward_subsumption_resolution,[status(thm)],[f1307,f1319])).
% 4.29/1.01 fof(f1337,plain,(
% 4.29/1.01 ![X0,X1]: (coll(X0,X0,X1)|~sQ47_spl)),
% 4.29/1.01 inference(resolution,[status(thm)],[f1319,f98])).
% 4.29/1.01 fof(f1339,plain,(
% 4.29/1.01 ![X0,X1,X2]: (~coll(X0,X0,X1)|coll(X1,X2,X0)|~sQ47_spl)),
% 4.29/1.01 inference(resolution,[status(thm)],[f1337,f103])).
% 4.29/1.01 fof(f1350,plain,(
% 4.29/1.01 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|midp(X0,X1,X2)|~sQ47_spl)),
% 4.29/1.01 inference(backward_subsumption_resolution,[status(thm)],[f258,f1364])).
% 4.29/1.01 fof(f1363,plain,(
% 4.29/1.01 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|cyclic(X1,X2,X0,X3)|~sQ47_spl)),
% 4.29/1.01 inference(backward_subsumption_resolution,[status(thm)],[f195,f1364])).
% 4.29/1.01 fof(f1364,plain,(
% 4.29/1.01 ![X0,X1,X2]: (coll(X0,X1,X2)|~sQ47_spl)),
% 4.29/1.01 inference(forward_subsumption_resolution,[status(thm)],[f1339,f1337])).
% 4.29/1.01 fof(f1383,plain,(
% 4.29/1.01 ![X0]: (midp(sK21_skl,X0,X0)|~sQ47_spl|~sQ13_spl)),
% 4.29/1.01 inference(resolution,[status(thm)],[f1313,f686])).
% 4.29/1.01 fof(f1391,plain,(
% 4.29/1.01 ![X0]: (cong(sK21_skl,X0,sK21_skl,X0)|~sQ47_spl|~sQ13_spl)),
% 4.29/1.01 inference(resolution,[status(thm)],[f1383,f260])).
% 4.29/1.01 fof(f1409,plain,(
% 4.29/1.01 ![X0]: (cong(sK21_skl,X0,X0,sK21_skl)|~sQ47_spl|~sQ13_spl)),
% 4.29/1.01 inference(resolution,[status(thm)],[f1391,f149])).
% 4.29/1.01 fof(f1435,plain,(
% 4.29/1.01 ![X0]: (cong(X0,sK21_skl,sK21_skl,X0)|~sQ47_spl|~sQ13_spl)),
% 4.29/1.01 inference(resolution,[status(thm)],[f1409,f151])).
% 4.29/1.01 fof(f1458,plain,(
% 4.29/1.01 ![X0]: (cong(X0,sK21_skl,X0,sK21_skl)|~sQ47_spl|~sQ13_spl)),
% 4.29/1.01 inference(resolution,[status(thm)],[f1435,f149])).
% 4.29/1.01 fof(f1469,plain,(
% 4.29/1.01 ![X0]: (midp(X0,sK21_skl,sK21_skl)|~sQ13_spl|~sQ47_spl)),
% 4.29/1.01 inference(resolution,[status(thm)],[f1458,f1350])).
% 4.29/1.01 fof(f1493,plain,(
% 4.29/1.01 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X1,X2,X3,X2,X3)|~sQ47_spl)),
% 4.29/1.01 inference(resolution,[status(thm)],[f1308,f144])).
% 4.29/1.01 fof(f1904,plain,(
% 4.29/1.01 ![X0,X1,X2]: (cyclic(X0,X0,X1,X2)|~sQ47_spl)),
% 4.29/1.01 inference(resolution,[status(thm)],[f1363,f1493])).
% 4.29/1.01 fof(f1908,plain,(
% 4.29/1.01 ![X0,X1,X2,X3]: (~cyclic(X0,X0,X1,X2)|cyclic(X0,X1,X2,X3)|~sQ47_spl)),
% 4.29/1.01 inference(resolution,[status(thm)],[f1904,f136])).
% 4.29/1.01 fof(f1915,plain,(
% 4.29/1.01 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X1,X0,X0,X3)|~sQ47_spl)),
% 4.29/1.01 inference(backward_subsumption_resolution,[status(thm)],[f235,f1918])).
% 4.29/1.01 fof(f1918,plain,(
% 4.29/1.01 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3)|~sQ47_spl)),
% 4.29/1.01 inference(forward_subsumption_resolution,[status(thm)],[f1908,f1904])).
% 4.29/1.01 fof(f2058,definition,(
% 4.29/1.01 ![X0]: (sQ61_spl <=> (~midp(X0,sK24_skl,sK21_skl)))),
% 4.29/1.01 introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition])).
% 4.29/1.01 fof(f2059,plain,(
% 4.29/1.01 ![X0]: (~midp(X0,sK24_skl,sK21_skl)|~sQ61_spl)),
% 4.29/1.01 inference(component_clause,[status(thm)],[f2058])).
% 4.29/1.01 fof(f2080,plain,(
% 4.29/1.01 $false|~sQ61_spl),
% 4.29/1.01 inference(backward_subsumption_resolution,[status(thm)],[f372,f2059])).
% 4.29/1.01 fof(f2082,plain,(
% 4.29/1.01 ~sQ61_spl),
% 4.29/1.01 inference(contradiction_clause,[status(thm)],[f2080])).
% 4.29/1.01 fof(f2095,plain,(
% 4.29/1.01 ![X0,X1]: (~cong(sK21_skl,X0,sK21_skl,X0)|perp(X0,sK21_skl,sK21_skl,X1)|~sQ47_spl|~sQ13_spl)),
% 4.29/1.01 inference(resolution,[status(thm)],[f1915,f1391])).
% 4.29/1.01 fof(f2109,plain,(
% 4.29/1.01 ![X0,X1]: (perp(X0,sK21_skl,sK21_skl,X1)|~sQ47_spl|~sQ13_spl)),
% 4.29/1.01 inference(forward_subsumption_resolution,[status(thm)],[f2095,f1391])).
% 4.29/1.01 fof(f2132,plain,(
% 4.29/1.01 ![X0,X1]: (perp(sK21_skl,X0,X1,sK21_skl)|~sQ47_spl|~sQ13_spl)),
% 4.29/1.01 inference(resolution,[status(thm)],[f2109,f114])).
% 4.29/1.01 fof(f2145,plain,(
% 4.29/1.01 ![X0,X1]: (~midp(X0,sK21_skl,sK21_skl)|cong(sK21_skl,X0,X1,X0)|~sQ47_spl|~sQ13_spl)),
% 4.29/1.01 inference(resolution,[status(thm)],[f2132,f222])).
% 4.29/1.01 fof(f2150,plain,(
% 4.29/1.01 ![X0,X1]: (cong(sK21_skl,X0,X1,X0)|~sQ47_spl|~sQ13_spl)),
% 4.29/1.01 inference(forward_subsumption_resolution,[status(thm)],[f2145,f1469])).
% 4.29/1.01 fof(f2158,plain,(
% 4.29/1.01 ![X0,X1]: (cong(X0,X1,sK21_skl,X1)|~sQ47_spl|~sQ13_spl)),
% 4.29/1.01 inference(resolution,[status(thm)],[f2150,f151])).
% 4.29/1.02 fof(f2159,plain,(
% 4.29/1.02 ![X0,X1]: (cong(sK21_skl,X0,X0,X1)|~sQ47_spl|~sQ13_spl)),
% 4.29/1.02 inference(resolution,[status(thm)],[f2150,f149])).
% 4.29/1.02 fof(f2163,plain,(
% 4.29/1.02 ![X0,X1,X2]: (~cong(X0,X1,sK21_skl,X1)|perp(X1,X0,X0,X2)|~sQ13_spl|~sQ47_spl)),
% 4.29/1.02 inference(resolution,[status(thm)],[f2158,f1915])).
% 4.29/1.02 fof(f2177,plain,(
% 4.29/1.02 ![X0,X1,X2]: (perp(X0,X1,X1,X2)|~sQ13_spl|~sQ47_spl)),
% 4.29/1.02 inference(forward_subsumption_resolution,[status(thm)],[f2163,f2158])).
% 4.29/1.02 fof(f2182,plain,(
% 4.29/1.02 ![X0,X1,X2]: (perp(X0,X1,X2,X1)|~sQ13_spl|~sQ47_spl)),
% 4.29/1.02 inference(resolution,[status(thm)],[f2177,f112])).
% 4.29/1.02 fof(f2190,plain,(
% 4.29/1.02 ![X0,X1,X2]: (~midp(X0,X1,X0)|cong(X2,X1,X2,X0)|~sQ13_spl|~sQ47_spl)),
% 4.29/1.02 inference(resolution,[status(thm)],[f2182,f230])).
% 4.29/1.02 fof(f2202,plain,(
% 4.29/1.02 ![X0]: (midp(sK21_skl,sK21_skl,X0)|~sQ13_spl|~sQ47_spl)),
% 4.29/1.02 inference(resolution,[status(thm)],[f2159,f1350])).
% 4.29/1.02 fof(f2225,plain,(
% 4.29/1.02 ![X0]: (midp(sK21_skl,X0,sK21_skl)|~sQ13_spl|~sQ47_spl)),
% 4.29/1.02 inference(resolution,[status(thm)],[f2202,f122])).
% 4.29/1.02 fof(f2284,plain,(
% 4.29/1.02 ![X0,X1]: (midp(X0,X1,X0)|~sQ13_spl|~sQ47_spl)),
% 4.29/1.02 inference(resolution,[status(thm)],[f2225,f1321])).
% 4.29/1.02 fof(f2290,plain,(
% 4.29/1.02 ![X0,X1,X2]: (cong(X0,X1,X0,X2)|~sQ13_spl|~sQ47_spl)),
% 4.29/1.02 inference(backward_subsumption_resolution,[status(thm)],[f2190,f2284])).
% 4.29/1.02 fof(f2292,plain,(
% 4.29/1.02 ![X0,X1,X2]: (midp(X0,X1,X2)|~sQ13_spl|~sQ47_spl)),
% 4.29/1.02 inference(backward_subsumption_resolution,[status(thm)],[f1350,f2290])).
% 4.29/1.02 fof(f2321,plain,(
% 4.29/1.02 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|para(X3,X1,X4,X2)|~sQ13_spl|~sQ47_spl)),
% 4.29/1.02 inference(backward_subsumption_resolution,[status(thm)],[f249,f2292])).
% 4.29/1.02 fof(f2380,plain,(
% 4.29/1.02 $false|~sQ13_spl|~sQ47_spl),
% 4.29/1.02 inference(backward_subsumption_resolution,[status(thm)],[f377,f2389])).
% 4.29/1.02 fof(f2389,plain,(
% 4.29/1.02 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3)|~sQ13_spl|~sQ47_spl)),
% 4.29/1.02 inference(forward_subsumption_resolution,[status(thm)],[f2321,f2292])).
% 4.29/1.02 fof(f2406,plain,(
% 4.29/1.02 ~sQ13_spl|~sQ47_spl),
% 4.29/1.02 inference(contradiction_clause,[status(thm)],[f2380])).
% 4.29/1.02 fof(f2407,plain,(
% 4.29/1.02 $false),
% 4.29/1.02 inference(sat_refutation,[status(thm)],[f688,f1127,f1138,f1303,f1317,f2082,f2406])).
% 4.29/1.02 % SZS output end CNFRefutation for theBenchmark.p
% 4.29/1.02 % Elapsed time: 0.652637 seconds
% 4.29/1.02 % CPU time: 4.870596 seconds
% 4.29/1.02 % Total memory used: 124.297 MB
% 4.29/1.02 % Net memory used: 118.168 MB
%------------------------------------------------------------------------------