TSTP Solution File: GEO647+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO647+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:18:30 EDT 2024
% Result : Theorem 4.50s 0.94s
% Output : CNFRefutation 4.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO647+1 : TPTP v8.1.2. Released v7.5.0.
% 0.08/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 01:51:13 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 4.50/0.94 % Refutation found
% 4.50/0.94 % SZS status Theorem for theBenchmark: Theorem is valid
% 4.50/0.94 % SZS output start CNFRefutation for theBenchmark
% 4.50/0.94 fof(f1,axiom,(
% 4.50/0.94 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 4.50/0.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.50/0.94 fof(f2,axiom,(
% 4.50/0.94 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 4.50/0.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.50/0.94 fof(f3,axiom,(
% 4.50/0.94 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 4.50/0.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.50/0.94 fof(f4,axiom,(
% 4.50/0.94 (! [A,B,C,D] :( para(A,B,C,D)=> para(A,B,D,C) ) )),
% 4.50/0.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.50/0.94 fof(f5,axiom,(
% 4.50/0.94 (! [A,B,C,D] :( para(A,B,C,D)=> para(C,D,A,B) ) )),
% 4.50/0.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.50/0.94 fof(f6,axiom,(
% 4.50/0.94 (! [A,B,C,D,E,F] :( ( para(A,B,C,D)& para(C,D,E,F) )=> para(A,B,E,F) ) )),
% 4.50/0.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.50/0.94 fof(f11,axiom,(
% 4.50/0.94 (! [A,B,M] :( midp(M,B,A)=> midp(M,A,B) ) )),
% 4.50/0.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.50/0.94 fof(f18,axiom,(
% 4.50/0.94 (! [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) ) )),
% 4.50/0.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.50/0.94 fof(f19,axiom,(
% 4.50/0.94 (! [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) ) )),
% 4.50/0.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.50/0.94 fof(f23,axiom,(
% 4.50/0.94 (! [A,B,C,D] :( cong(A,B,C,D)=> cong(A,B,D,C) ) )),
% 4.50/0.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.50/0.94 fof(f24,axiom,(
% 4.50/0.94 (! [A,B,C,D] :( cong(A,B,C,D)=> cong(C,D,A,B) ) )),
% 4.50/0.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.50/0.94 fof(f39,axiom,(
% 4.50/0.94 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 4.50/0.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.50/0.94 fof(f40,axiom,(
% 4.50/0.94 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 4.50/0.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.50/0.94 fof(f45,axiom,(
% 4.50/0.94 (! [A,B,C,E,F] :( ( midp(E,A,B)& midp(F,A,C) )=> para(E,F,B,C) ) )),
% 4.50/0.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.50/0.94 fof(f46,axiom,(
% 4.50/0.94 (! [A,B,C,E,F] :( ( midp(E,A,B)& para(E,F,B,C)& coll(F,A,C) )=> midp(F,A,C) ) )),
% 4.50/0.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.50/0.94 fof(f65,axiom,(
% 4.50/0.94 (! [A,B,C,D,M] :( ( midp(M,A,B)& para(A,C,B,D)& para(A,D,B,C) )=> midp(M,C,D) ) )),
% 4.50/0.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.50/0.94 fof(f67,axiom,(
% 4.50/0.94 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 4.50/0.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.50/0.94 fof(f68,axiom,(
% 4.50/0.94 (! [A,B,C] :( ( cong(A,B,A,C)& coll(A,B,C) )=> midp(A,B,C) ) )),
% 4.50/0.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.50/0.94 fof(f69,axiom,(
% 4.50/0.94 (! [A,B,C] :( midp(A,B,C)=> cong(A,B,A,C) ) )),
% 4.50/0.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.50/0.94 fof(f95,conjecture,(
% 4.50/0.94 (! [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) ) )),
% 4.50/0.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.50/0.94 fof(f96,negated_conjecture,(
% 4.50/0.94 ~((! [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) ) ))),
% 4.50/0.94 inference(negated_conjecture,[status(cth)],[f95])).
% 4.50/0.94 fof(f97,plain,(
% 4.50/0.94 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 4.50/0.94 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 4.50/0.94 fof(f98,plain,(
% 4.50/0.94 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 4.50/0.94 inference(cnf_transformation,[status(esa)],[f97])).
% 4.50/0.94 fof(f99,plain,(
% 4.50/0.94 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 4.50/0.94 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 4.50/0.94 fof(f100,plain,(
% 4.50/0.94 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 4.50/0.94 inference(cnf_transformation,[status(esa)],[f99])).
% 4.50/0.94 fof(f101,plain,(
% 4.50/0.94 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 4.50/0.94 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 4.50/0.94 fof(f102,plain,(
% 4.50/0.94 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 4.50/0.94 inference(miniscoping,[status(esa)],[f101])).
% 4.50/0.94 fof(f103,plain,(
% 4.50/0.94 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 4.50/0.94 inference(cnf_transformation,[status(esa)],[f102])).
% 4.50/0.94 fof(f104,plain,(
% 4.50/0.94 ![A,B,C,D]: (~para(A,B,C,D)|para(A,B,D,C))),
% 4.50/0.94 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 4.50/0.94 fof(f105,plain,(
% 4.50/0.94 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X0,X1,X3,X2))),
% 4.50/0.94 inference(cnf_transformation,[status(esa)],[f104])).
% 4.50/0.94 fof(f106,plain,(
% 4.50/0.94 ![A,B,C,D]: (~para(A,B,C,D)|para(C,D,A,B))),
% 4.50/0.94 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 4.50/0.94 fof(f107,plain,(
% 4.50/0.94 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X2,X3,X0,X1))),
% 4.50/0.94 inference(cnf_transformation,[status(esa)],[f106])).
% 4.50/0.94 fof(f108,plain,(
% 4.50/0.94 ![A,B,C,D,E,F]: ((~para(A,B,C,D)|~para(C,D,E,F))|para(A,B,E,F))),
% 4.50/0.94 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 4.50/0.94 fof(f109,plain,(
% 4.50/0.94 ![A,B,E,F]: ((![C,D]: (~para(A,B,C,D)|~para(C,D,E,F)))|para(A,B,E,F))),
% 4.50/0.94 inference(miniscoping,[status(esa)],[f108])).
% 4.50/0.94 fof(f110,plain,(
% 4.50/0.94 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|~para(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 4.50/0.94 inference(cnf_transformation,[status(esa)],[f109])).
% 4.50/0.94 fof(f121,plain,(
% 4.50/0.94 ![A,B,M]: (~midp(M,B,A)|midp(M,A,B))),
% 4.50/0.94 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 4.50/0.94 fof(f122,plain,(
% 4.50/0.94 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X0,X2,X1))),
% 4.50/0.94 inference(cnf_transformation,[status(esa)],[f121])).
% 4.50/0.94 fof(f137,plain,(
% 4.50/0.94 ![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))),
% 4.50/0.94 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 4.50/0.94 fof(f138,plain,(
% 4.50/0.94 ![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))),
% 4.50/0.94 inference(cnf_transformation,[status(esa)],[f137])).
% 4.50/0.94 fof(f139,plain,(
% 4.50/0.94 ![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))),
% 4.50/0.94 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 4.50/0.94 fof(f140,plain,(
% 4.50/0.94 ![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))),
% 4.50/0.94 inference(cnf_transformation,[status(esa)],[f139])).
% 4.50/0.94 fof(f148,plain,(
% 4.50/0.94 ![A,B,C,D]: (~cong(A,B,C,D)|cong(A,B,D,C))),
% 4.50/0.94 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 4.50/0.94 fof(f149,plain,(
% 4.50/0.94 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X3)|cong(X0,X1,X3,X2))),
% 4.50/0.94 inference(cnf_transformation,[status(esa)],[f148])).
% 4.50/0.94 fof(f150,plain,(
% 4.50/0.94 ![A,B,C,D]: (~cong(A,B,C,D)|cong(C,D,A,B))),
% 4.50/0.94 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 4.50/0.94 fof(f151,plain,(
% 4.50/0.94 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X3)|cong(X2,X3,X0,X1))),
% 4.50/0.94 inference(cnf_transformation,[status(esa)],[f150])).
% 4.50/0.94 fof(f184,plain,(
% 4.50/0.94 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 4.50/0.94 inference(pre_NNF_transformation,[status(esa)],[f39])).
% 4.50/0.94 fof(f185,plain,(
% 4.50/0.94 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 4.50/0.94 inference(miniscoping,[status(esa)],[f184])).
% 4.50/0.94 fof(f186,plain,(
% 4.50/0.94 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 4.50/0.94 inference(cnf_transformation,[status(esa)],[f185])).
% 4.50/0.94 fof(f187,plain,(
% 4.50/0.94 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 4.50/0.94 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 4.50/0.94 fof(f188,plain,(
% 4.50/0.94 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 4.50/0.94 inference(miniscoping,[status(esa)],[f187])).
% 4.50/0.94 fof(f189,plain,(
% 4.50/0.94 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 4.50/0.94 inference(cnf_transformation,[status(esa)],[f188])).
% 4.50/0.94 fof(f199,plain,(
% 4.50/0.94 ![A,B,C,E,F]: ((~midp(E,A,B)|~midp(F,A,C))|para(E,F,B,C))),
% 4.50/0.94 inference(pre_NNF_transformation,[status(esa)],[f45])).
% 4.50/0.94 fof(f200,plain,(
% 4.50/0.94 ![B,C,E,F]: ((![A]: (~midp(E,A,B)|~midp(F,A,C)))|para(E,F,B,C))),
% 4.50/0.94 inference(miniscoping,[status(esa)],[f199])).
% 4.50/0.94 fof(f201,plain,(
% 4.50/0.94 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~midp(X3,X1,X4)|para(X0,X3,X2,X4))),
% 4.50/0.94 inference(cnf_transformation,[status(esa)],[f200])).
% 4.50/0.94 fof(f202,plain,(
% 4.50/0.94 ![A,B,C,E,F]: (((~midp(E,A,B)|~para(E,F,B,C))|~coll(F,A,C))|midp(F,A,C))),
% 4.50/0.94 inference(pre_NNF_transformation,[status(esa)],[f46])).
% 4.50/0.94 fof(f203,plain,(
% 4.50/0.94 ![A,C,F]: (((![B,E]: (~midp(E,A,B)|~para(E,F,B,C)))|~coll(F,A,C))|midp(F,A,C))),
% 4.50/0.94 inference(miniscoping,[status(esa)],[f202])).
% 4.50/0.94 fof(f204,plain,(
% 4.50/0.94 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X0,X3,X2,X4)|~coll(X3,X1,X4)|midp(X3,X1,X4))),
% 4.50/0.94 inference(cnf_transformation,[status(esa)],[f203])).
% 4.50/0.94 fof(f250,plain,(
% 4.50/0.94 ![A,B,C,D,M]: (((~midp(M,A,B)|~para(A,C,B,D))|~para(A,D,B,C))|midp(M,C,D))),
% 4.50/0.94 inference(pre_NNF_transformation,[status(esa)],[f65])).
% 4.50/0.94 fof(f251,plain,(
% 4.50/0.94 ![C,D,M]: ((![A,B]: ((~midp(M,A,B)|~para(A,C,B,D))|~para(A,D,B,C)))|midp(M,C,D))),
% 4.50/0.94 inference(miniscoping,[status(esa)],[f250])).
% 4.50/0.94 fof(f252,plain,(
% 4.50/0.94 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X1,X3,X2,X4)|~para(X1,X4,X2,X3)|midp(X0,X3,X4))),
% 4.50/0.94 inference(cnf_transformation,[status(esa)],[f251])).
% 4.50/0.94 fof(f255,plain,(
% 4.50/0.94 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 4.50/0.94 inference(pre_NNF_transformation,[status(esa)],[f67])).
% 4.50/0.94 fof(f256,plain,(
% 4.50/0.94 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 4.50/0.94 inference(cnf_transformation,[status(esa)],[f255])).
% 4.50/0.94 fof(f257,plain,(
% 4.50/0.94 ![A,B,C]: ((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))),
% 4.50/0.94 inference(pre_NNF_transformation,[status(esa)],[f68])).
% 4.50/0.94 fof(f258,plain,(
% 4.50/0.94 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|~coll(X0,X1,X2)|midp(X0,X1,X2))),
% 4.50/0.94 inference(cnf_transformation,[status(esa)],[f257])).
% 4.50/0.94 fof(f259,plain,(
% 4.50/0.94 ![A,B,C]: (~midp(A,B,C)|cong(A,B,A,C))),
% 4.50/0.94 inference(pre_NNF_transformation,[status(esa)],[f69])).
% 4.50/0.94 fof(f260,plain,(
% 4.50/0.94 ![X0,X1,X2]: (~midp(X0,X1,X2)|cong(X0,X1,X0,X2))),
% 4.50/0.94 inference(cnf_transformation,[status(esa)],[f259])).
% 4.50/0.94 fof(f369,plain,(
% 4.50/0.94 (?[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)))),
% 4.50/0.94 inference(pre_NNF_transformation,[status(esa)],[f96])).
% 4.50/0.94 fof(f370,plain,(
% 4.50/0.94 ?[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))),
% 4.50/0.94 inference(miniscoping,[status(esa)],[f369])).
% 4.50/0.94 fof(f371,plain,(
% 4.50/0.94 (((((midp(sk0_26,sk0_24,sk0_21)&midp(sk0_22,sk0_20,sk0_24))&midp(sk0_25,sk0_21,sk0_20))¶(sk0_24,sk0_25,sk0_23,sk0_26))¶(sk0_24,sk0_21,sk0_23,sk0_25))&~para(sk0_21,sk0_22,sk0_23,sk0_20))),
% 4.50/0.94 inference(skolemization,[status(esa)],[f370])).
% 4.50/0.94 fof(f372,plain,(
% 4.50/0.94 midp(sk0_26,sk0_24,sk0_21)),
% 4.50/0.94 inference(cnf_transformation,[status(esa)],[f371])).
% 4.50/0.94 fof(f373,plain,(
% 4.50/0.94 midp(sk0_22,sk0_20,sk0_24)),
% 4.50/0.94 inference(cnf_transformation,[status(esa)],[f371])).
% 4.50/0.94 fof(f375,plain,(
% 4.50/0.94 para(sk0_24,sk0_25,sk0_23,sk0_26)),
% 4.50/0.94 inference(cnf_transformation,[status(esa)],[f371])).
% 4.50/0.94 fof(f376,plain,(
% 4.50/0.94 para(sk0_24,sk0_21,sk0_23,sk0_25)),
% 4.50/0.94 inference(cnf_transformation,[status(esa)],[f371])).
% 4.50/0.94 fof(f377,plain,(
% 4.50/0.94 ~para(sk0_21,sk0_22,sk0_23,sk0_20)),
% 4.50/0.94 inference(cnf_transformation,[status(esa)],[f371])).
% 4.50/0.94 fof(f379,plain,(
% 4.50/0.94 midp(sk0_22,sk0_24,sk0_20)),
% 4.50/0.94 inference(resolution,[status(thm)],[f122,f373])).
% 4.50/0.94 fof(f380,plain,(
% 4.50/0.94 midp(sk0_26,sk0_21,sk0_24)),
% 4.50/0.94 inference(resolution,[status(thm)],[f122,f372])).
% 4.50/0.94 fof(f390,plain,(
% 4.50/0.94 para(sk0_24,sk0_21,sk0_25,sk0_23)),
% 4.50/0.94 inference(resolution,[status(thm)],[f105,f376])).
% 4.50/0.94 fof(f391,plain,(
% 4.50/0.94 para(sk0_24,sk0_25,sk0_26,sk0_23)),
% 4.50/0.94 inference(resolution,[status(thm)],[f105,f375])).
% 4.50/0.94 fof(f395,plain,(
% 4.50/0.94 para(sk0_23,sk0_25,sk0_24,sk0_21)),
% 4.50/0.94 inference(resolution,[status(thm)],[f107,f376])).
% 4.50/0.94 fof(f396,plain,(
% 4.50/0.94 para(sk0_26,sk0_23,sk0_24,sk0_25)),
% 4.50/0.94 inference(resolution,[status(thm)],[f107,f391])).
% 4.50/0.94 fof(f401,plain,(
% 4.50/0.94 para(sk0_23,sk0_25,sk0_21,sk0_24)),
% 4.50/0.94 inference(resolution,[status(thm)],[f395,f105])).
% 4.50/0.94 fof(f408,plain,(
% 4.50/0.94 para(sk0_21,sk0_24,sk0_23,sk0_25)),
% 4.50/0.94 inference(resolution,[status(thm)],[f401,f107])).
% 4.50/0.94 fof(f422,plain,(
% 4.50/0.94 ![X0]: (~midp(sk0_21,X0,sk0_23)|~midp(sk0_22,X0,sk0_20))),
% 4.50/0.94 inference(resolution,[status(thm)],[f201,f377])).
% 4.50/0.94 fof(f426,plain,(
% 4.50/0.94 ~midp(sk0_21,sk0_24,sk0_23)),
% 4.50/0.94 inference(resolution,[status(thm)],[f422,f379])).
% 4.50/0.94 fof(f449,plain,(
% 4.50/0.94 ![X0,X1]: (~para(X0,X1,sk0_23,sk0_25)|para(X0,X1,sk0_21,sk0_24))),
% 4.50/0.94 inference(resolution,[status(thm)],[f110,f401])).
% 4.50/0.94 fof(f585,plain,(
% 4.50/0.94 para(sk0_21,sk0_24,sk0_21,sk0_24)),
% 4.50/0.94 inference(resolution,[status(thm)],[f449,f408])).
% 4.50/0.94 fof(f645,plain,(
% 4.50/0.94 ![X0]: (~midp(sk0_24,X0,sk0_25)|~coll(sk0_21,X0,sk0_23)|midp(sk0_21,X0,sk0_23))),
% 4.50/0.94 inference(resolution,[status(thm)],[f204,f390])).
% 4.50/0.94 fof(f1162,plain,(
% 4.50/0.94 ![X0,X1,X2,X3,X4,X5]: (eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|~para(X1,X0,X4,X5))),
% 4.50/0.94 inference(resolution,[status(thm)],[f138,f189])).
% 4.50/0.94 fof(f1163,plain,(
% 4.50/0.94 ![X0,X1,X2,X3,X4,X5]: (eqangle(X0,X1,X2,X3,X0,X1,X4,X5)|~para(X2,X3,X4,X5))),
% 4.50/0.94 inference(resolution,[status(thm)],[f140,f189])).
% 4.50/0.94 fof(f1493,plain,(
% 4.50/0.94 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X1,X0,X2,X3))),
% 4.50/0.94 inference(resolution,[status(thm)],[f1162,f186])).
% 4.50/0.94 fof(f1542,plain,(
% 4.50/0.94 spl0_68 <=> ~para(X0,X1,X0,X1)),
% 4.50/0.94 introduced(split_symbol_definition)).
% 4.50/0.94 fof(f1543,plain,(
% 4.50/0.94 ![X0,X1]: (~para(X0,X1,X0,X1)|~spl0_68)),
% 4.50/0.94 inference(component_clause,[status(thm)],[f1542])).
% 4.50/0.94 fof(f1545,plain,(
% 4.50/0.94 spl0_69 <=> para(X2,X3,X2,X3)),
% 4.50/0.94 introduced(split_symbol_definition)).
% 4.50/0.94 fof(f1546,plain,(
% 4.50/0.94 ![X0,X1]: (para(X0,X1,X0,X1)|~spl0_69)),
% 4.50/0.94 inference(component_clause,[status(thm)],[f1545])).
% 4.50/0.94 fof(f1548,plain,(
% 4.50/0.94 ![X0,X1,X2,X3]: (~para(X0,X1,X0,X1)|para(X2,X3,X2,X3))),
% 4.50/0.94 inference(resolution,[status(thm)],[f1163,f186])).
% 4.50/0.94 fof(f1549,plain,(
% 4.50/0.94 spl0_68|spl0_69),
% 4.50/0.94 inference(split_clause,[status(thm)],[f1548,f1542,f1545])).
% 4.50/0.94 fof(f1550,plain,(
% 4.50/0.94 $false|~spl0_68),
% 4.50/0.94 inference(backward_subsumption_resolution,[status(thm)],[f585,f1543])).
% 4.50/0.94 fof(f1551,plain,(
% 4.50/0.94 ~spl0_68),
% 4.50/0.94 inference(contradiction_clause,[status(thm)],[f1550])).
% 4.50/0.94 fof(f1568,plain,(
% 4.50/0.94 ![X0,X1]: (para(X0,X1,X1,X0)|~spl0_69)),
% 4.50/0.94 inference(resolution,[status(thm)],[f1546,f1493])).
% 4.50/0.94 fof(f1569,plain,(
% 4.50/0.94 ![X0,X1,X2]: (~midp(X0,X1,X1)|~para(X1,X2,X1,X2)|midp(X0,X2,X2)|~spl0_69)),
% 4.50/0.94 inference(resolution,[status(thm)],[f1546,f252])).
% 4.50/0.94 fof(f1570,plain,(
% 4.50/0.94 ![X0,X1,X2]: (~midp(X0,X1,X1)|midp(X0,X2,X2)|~spl0_69)),
% 4.50/0.94 inference(forward_subsumption_resolution,[status(thm)],[f1569,f1546])).
% 4.50/0.94 fof(f1573,plain,(
% 4.50/0.94 ![X0,X1]: (coll(X0,X1,X1)|~spl0_69)),
% 4.50/0.94 inference(resolution,[status(thm)],[f1546,f256])).
% 4.50/0.94 fof(f1576,plain,(
% 4.50/0.94 ![X0,X1]: (coll(X0,X1,X0)|~spl0_69)),
% 4.50/0.94 inference(resolution,[status(thm)],[f1573,f100])).
% 4.50/0.94 fof(f1580,plain,(
% 4.50/0.94 ![X0,X1]: (coll(X0,X0,X1)|~spl0_69)),
% 4.50/0.94 inference(resolution,[status(thm)],[f1576,f98])).
% 4.50/0.94 fof(f1581,plain,(
% 4.50/0.94 ![X0,X1,X2]: (~coll(X0,X0,X1)|coll(X1,X2,X0)|~spl0_69)),
% 4.50/0.94 inference(resolution,[status(thm)],[f1580,f103])).
% 4.50/0.94 fof(f1582,plain,(
% 4.50/0.94 ![X0,X1,X2]: (coll(X0,X1,X2)|~spl0_69)),
% 4.50/0.94 inference(forward_subsumption_resolution,[status(thm)],[f1581,f1580])).
% 4.50/0.94 fof(f1587,plain,(
% 4.50/0.94 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X0,X3,X2,X4)|midp(X3,X1,X4)|~spl0_69)),
% 4.50/0.94 inference(backward_subsumption_resolution,[status(thm)],[f204,f1582])).
% 4.50/0.94 fof(f1588,plain,(
% 4.50/0.94 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|midp(X0,X1,X2)|~spl0_69)),
% 4.50/0.94 inference(backward_subsumption_resolution,[status(thm)],[f258,f1582])).
% 4.50/0.94 fof(f1612,plain,(
% 4.50/0.94 ![X0]: (~midp(sk0_21,X0,sk0_23)|midp(sk0_24,X0,sk0_25)|~spl0_69)),
% 4.50/0.94 inference(resolution,[status(thm)],[f1587,f408])).
% 4.50/0.94 fof(f1615,plain,(
% 4.50/0.94 ![X0]: (~midp(sk0_26,X0,sk0_24)|midp(sk0_23,X0,sk0_25)|~spl0_69)),
% 4.50/0.94 inference(resolution,[status(thm)],[f1587,f396])).
% 4.50/0.94 fof(f1631,plain,(
% 4.50/0.94 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X2,X1,X0)|~spl0_69)),
% 4.50/0.94 inference(resolution,[status(thm)],[f1587,f1568])).
% 4.50/0.94 fof(f1935,plain,(
% 4.50/0.94 ![X0,X1,X2]: (cong(X0,X1,X2,X0)|~midp(X0,X1,X2))),
% 4.50/0.94 inference(resolution,[status(thm)],[f149,f260])).
% 4.50/0.94 fof(f1942,plain,(
% 4.50/0.94 ![X0,X1,X2]: (cong(X0,X1,X1,X2)|~midp(X1,X2,X0))),
% 4.50/0.94 inference(resolution,[status(thm)],[f151,f1935])).
% 4.50/0.94 fof(f1945,plain,(
% 4.50/0.94 ![X0,X1,X2]: (~midp(X0,X1,X2)|cong(X2,X0,X1,X0))),
% 4.50/0.94 inference(resolution,[status(thm)],[f1942,f149])).
% 4.50/0.94 fof(f1962,plain,(
% 4.50/0.94 ![X0,X1]: (~midp(X0,X1,X1)|midp(X1,X0,X0)|~spl0_69)),
% 4.50/0.94 inference(resolution,[status(thm)],[f1945,f1588])).
% 4.50/0.94 fof(f2759,plain,(
% 4.50/0.94 ![X0]: (~midp(sk0_24,X0,sk0_25)|midp(sk0_21,X0,sk0_23)|~spl0_69)),
% 4.50/0.94 inference(forward_subsumption_resolution,[status(thm)],[f645,f1582])).
% 4.50/0.94 fof(f3281,plain,(
% 4.50/0.94 midp(sk0_23,sk0_21,sk0_25)|~spl0_69),
% 4.50/0.94 inference(resolution,[status(thm)],[f1615,f380])).
% 4.50/0.94 fof(f3289,plain,(
% 4.50/0.94 midp(sk0_23,sk0_25,sk0_21)|~spl0_69),
% 4.50/0.94 inference(resolution,[status(thm)],[f3281,f122])).
% 4.50/0.94 fof(f3313,plain,(
% 4.50/0.94 midp(sk0_21,sk0_25,sk0_23)|~spl0_69),
% 4.50/0.94 inference(resolution,[status(thm)],[f3289,f1631])).
% 4.50/0.94 fof(f3359,plain,(
% 4.50/0.94 midp(sk0_24,sk0_25,sk0_25)|~spl0_69),
% 4.50/0.94 inference(resolution,[status(thm)],[f3313,f1612])).
% 4.50/0.94 fof(f3381,plain,(
% 4.50/0.94 ![X0]: (midp(sk0_24,X0,X0)|~spl0_69)),
% 4.50/0.94 inference(resolution,[status(thm)],[f3359,f1570])).
% 4.50/0.94 fof(f3388,plain,(
% 4.50/0.94 ![X0]: (midp(X0,sk0_24,sk0_24)|~spl0_69)),
% 4.50/0.94 inference(resolution,[status(thm)],[f3381,f1962])).
% 4.50/0.94 fof(f3430,plain,(
% 4.50/0.94 ![X0,X1]: (midp(X0,X1,X1)|~spl0_69)),
% 4.50/0.94 inference(resolution,[status(thm)],[f3388,f1570])).
% 4.50/0.94 fof(f3445,plain,(
% 4.50/0.94 ![X0,X1]: (midp(X0,X0,X1)|~spl0_69)),
% 4.50/0.94 inference(resolution,[status(thm)],[f3430,f1631])).
% 4.50/0.94 fof(f3464,plain,(
% 4.50/0.94 midp(sk0_21,sk0_24,sk0_23)|~spl0_69),
% 4.50/0.94 inference(resolution,[status(thm)],[f3445,f2759])).
% 4.50/0.94 fof(f3465,plain,(
% 4.50/0.94 $false|~spl0_69),
% 4.50/0.94 inference(forward_subsumption_resolution,[status(thm)],[f3464,f426])).
% 4.50/0.94 fof(f3466,plain,(
% 4.50/0.94 ~spl0_69),
% 4.50/0.94 inference(contradiction_clause,[status(thm)],[f3465])).
% 4.50/0.94 fof(f3467,plain,(
% 4.50/0.94 $false),
% 4.50/0.94 inference(sat_refutation,[status(thm)],[f1549,f1551,f3466])).
% 4.50/0.94 % SZS output end CNFRefutation for theBenchmark.p
% 4.50/0.96 % Elapsed time: 0.601479 seconds
% 4.50/0.96 % CPU time: 4.651541 seconds
% 4.50/0.96 % Total memory used: 108.901 MB
% 4.50/0.96 % Net memory used: 101.404 MB
%------------------------------------------------------------------------------