TSTP Solution File: GEO650+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO650+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n024.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 20:18:31 EDT 2024
% Result : Theorem 5.52s 1.02s
% Output : CNFRefutation 5.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : GEO650+1 : TPTP v8.1.2. Released v7.5.0.
% 0.04/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29 % Computer : n024.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue Apr 30 01:29:06 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.31 % Drodi V3.6.0
% 5.52/1.02 % Refutation found
% 5.52/1.02 % SZS status Theorem for theBenchmark: Theorem is valid
% 5.52/1.02 % SZS output start CNFRefutation for theBenchmark
% 5.52/1.02 fof(f1,axiom,(
% 5.52/1.02 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 5.52/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.52/1.02 fof(f2,axiom,(
% 5.52/1.02 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 5.52/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.52/1.02 fof(f3,axiom,(
% 5.52/1.02 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 5.52/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.52/1.02 fof(f5,axiom,(
% 5.52/1.02 (! [A,B,C,D] :( para(A,B,C,D)=> para(C,D,A,B) ) )),
% 5.52/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.52/1.02 fof(f7,axiom,(
% 5.52/1.02 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(A,B,D,C) ) )),
% 5.52/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.52/1.02 fof(f8,axiom,(
% 5.52/1.02 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 5.52/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.52/1.02 fof(f9,axiom,(
% 5.52/1.02 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 5.52/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.52/1.02 fof(f11,axiom,(
% 5.52/1.02 (! [A,B,M] :( midp(M,B,A)=> midp(M,A,B) ) )),
% 5.52/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.52/1.02 fof(f18,axiom,(
% 5.52/1.02 (! [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) ) )),
% 5.52/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.52/1.02 fof(f19,axiom,(
% 5.52/1.02 (! [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) ) )),
% 5.52/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.52/1.02 fof(f23,axiom,(
% 5.52/1.02 (! [A,B,C,D] :( cong(A,B,C,D)=> cong(A,B,D,C) ) )),
% 5.52/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.52/1.02 fof(f24,axiom,(
% 5.52/1.02 (! [A,B,C,D] :( cong(A,B,C,D)=> cong(C,D,A,B) ) )),
% 5.52/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.52/1.02 fof(f25,axiom,(
% 5.52/1.02 (! [A,B,C,D,E,F] :( ( cong(A,B,C,D)& cong(C,D,E,F) )=> cong(A,B,E,F) ) )),
% 5.52/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.52/1.02 fof(f39,axiom,(
% 5.52/1.02 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 5.52/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.52/1.02 fof(f40,axiom,(
% 5.52/1.02 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 5.52/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.52/1.02 fof(f45,axiom,(
% 5.52/1.02 (! [A,B,C,E,F] :( ( midp(E,A,B)& midp(F,A,C) )=> para(E,F,B,C) ) )),
% 5.52/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.52/1.02 fof(f46,axiom,(
% 5.52/1.02 (! [A,B,C,E,F] :( ( midp(E,A,B)& para(E,F,B,C)& coll(F,A,C) )=> midp(F,A,C) ) )),
% 5.52/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.52/1.02 fof(f47,axiom,(
% 5.52/1.02 (! [A,B,O] :( cong(O,A,O,B)=> eqangle(O,A,A,B,A,B,O,B) ) )),
% 5.52/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.52/1.02 fof(f56,axiom,(
% 5.52/1.02 (! [A,B,M,O] :( ( midp(M,A,B)& perp(O,M,A,B) )=> cong(O,A,O,B) ) )),
% 5.52/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.52/1.02 fof(f65,axiom,(
% 5.52/1.02 (! [A,B,C,D,M] :( ( midp(M,A,B)& para(A,C,B,D)& para(A,D,B,C) )=> midp(M,C,D) ) )),
% 5.52/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.52/1.02 fof(f67,axiom,(
% 5.52/1.02 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 5.52/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.52/1.02 fof(f68,axiom,(
% 5.52/1.02 (! [A,B,C] :( ( cong(A,B,A,C)& coll(A,B,C) )=> midp(A,B,C) ) )),
% 5.52/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.52/1.02 fof(f69,axiom,(
% 5.52/1.02 (! [A,B,C] :( midp(A,B,C)=> cong(A,B,A,C) ) )),
% 5.52/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.52/1.02 fof(f95,conjecture,(
% 5.52/1.02 (! [A,B,C,D,E,F,G,MIDPNT1,MIDPNT2,MIDPNT3] :( ( midp(MIDPNT1,A,B)& perp(A,B,MIDPNT1,D)& midp(MIDPNT2,A,C)& perp(A,C,MIDPNT2,D)& midp(MIDPNT3,B,C)& perp(B,C,MIDPNT3,D)& perp(C,D,C,E)& perp(B,D,B,E)& perp(F,D,A,B)& coll(F,A,B)& coll(G,D,F)& coll(G,A,C) )=> para(G,E,A,B) ) )),
% 5.52/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.52/1.02 fof(f96,negated_conjecture,(
% 5.52/1.02 ~((! [A,B,C,D,E,F,G,MIDPNT1,MIDPNT2,MIDPNT3] :( ( midp(MIDPNT1,A,B)& perp(A,B,MIDPNT1,D)& midp(MIDPNT2,A,C)& perp(A,C,MIDPNT2,D)& midp(MIDPNT3,B,C)& perp(B,C,MIDPNT3,D)& perp(C,D,C,E)& perp(B,D,B,E)& perp(F,D,A,B)& coll(F,A,B)& coll(G,D,F)& coll(G,A,C) )=> para(G,E,A,B) ) ))),
% 5.52/1.02 inference(negated_conjecture,[status(cth)],[f95])).
% 5.52/1.03 fof(f97,plain,(
% 5.52/1.03 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 5.52/1.03 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 5.52/1.03 fof(f98,plain,(
% 5.52/1.03 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 5.52/1.03 inference(cnf_transformation,[status(esa)],[f97])).
% 5.52/1.03 fof(f99,plain,(
% 5.52/1.03 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 5.52/1.03 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 5.52/1.03 fof(f100,plain,(
% 5.52/1.03 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 5.52/1.03 inference(cnf_transformation,[status(esa)],[f99])).
% 5.52/1.03 fof(f101,plain,(
% 5.52/1.03 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 5.52/1.03 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 5.52/1.03 fof(f102,plain,(
% 5.52/1.03 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 5.52/1.03 inference(miniscoping,[status(esa)],[f101])).
% 5.52/1.03 fof(f103,plain,(
% 5.52/1.03 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 5.52/1.03 inference(cnf_transformation,[status(esa)],[f102])).
% 5.52/1.03 fof(f106,plain,(
% 5.52/1.03 ![A,B,C,D]: (~para(A,B,C,D)|para(C,D,A,B))),
% 5.52/1.03 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 5.52/1.03 fof(f107,plain,(
% 5.52/1.03 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X2,X3,X0,X1))),
% 5.52/1.03 inference(cnf_transformation,[status(esa)],[f106])).
% 5.52/1.03 fof(f111,plain,(
% 5.52/1.03 ![A,B,C,D]: (~perp(A,B,C,D)|perp(A,B,D,C))),
% 5.52/1.03 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 5.52/1.03 fof(f112,plain,(
% 5.52/1.03 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X0,X1,X3,X2))),
% 5.52/1.03 inference(cnf_transformation,[status(esa)],[f111])).
% 5.52/1.03 fof(f113,plain,(
% 5.52/1.03 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 5.52/1.03 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 5.52/1.03 fof(f114,plain,(
% 5.52/1.03 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 5.52/1.03 inference(cnf_transformation,[status(esa)],[f113])).
% 5.52/1.03 fof(f115,plain,(
% 5.52/1.03 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 5.52/1.03 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 5.52/1.03 fof(f116,plain,(
% 5.52/1.03 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 5.52/1.03 inference(miniscoping,[status(esa)],[f115])).
% 5.52/1.03 fof(f117,plain,(
% 5.52/1.03 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 5.52/1.03 inference(cnf_transformation,[status(esa)],[f116])).
% 5.52/1.03 fof(f121,plain,(
% 5.52/1.03 ![A,B,M]: (~midp(M,B,A)|midp(M,A,B))),
% 5.52/1.03 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 5.52/1.03 fof(f122,plain,(
% 5.52/1.03 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X0,X2,X1))),
% 5.52/1.03 inference(cnf_transformation,[status(esa)],[f121])).
% 5.52/1.03 fof(f137,plain,(
% 5.52/1.03 ![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))),
% 5.52/1.03 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 5.52/1.03 fof(f138,plain,(
% 5.52/1.03 ![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))),
% 5.52/1.03 inference(cnf_transformation,[status(esa)],[f137])).
% 5.52/1.03 fof(f139,plain,(
% 5.52/1.03 ![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))),
% 5.52/1.03 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 5.52/1.03 fof(f140,plain,(
% 5.52/1.03 ![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))),
% 5.52/1.03 inference(cnf_transformation,[status(esa)],[f139])).
% 5.52/1.03 fof(f148,plain,(
% 5.52/1.03 ![A,B,C,D]: (~cong(A,B,C,D)|cong(A,B,D,C))),
% 5.52/1.03 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 5.52/1.03 fof(f149,plain,(
% 5.52/1.03 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X3)|cong(X0,X1,X3,X2))),
% 5.52/1.03 inference(cnf_transformation,[status(esa)],[f148])).
% 5.52/1.03 fof(f150,plain,(
% 5.52/1.03 ![A,B,C,D]: (~cong(A,B,C,D)|cong(C,D,A,B))),
% 5.52/1.03 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 5.52/1.03 fof(f151,plain,(
% 5.52/1.03 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X3)|cong(X2,X3,X0,X1))),
% 5.52/1.03 inference(cnf_transformation,[status(esa)],[f150])).
% 5.52/1.03 fof(f152,plain,(
% 5.52/1.03 ![A,B,C,D,E,F]: ((~cong(A,B,C,D)|~cong(C,D,E,F))|cong(A,B,E,F))),
% 5.52/1.03 inference(pre_NNF_transformation,[status(esa)],[f25])).
% 5.52/1.03 fof(f153,plain,(
% 5.52/1.03 ![A,B,E,F]: ((![C,D]: (~cong(A,B,C,D)|~cong(C,D,E,F)))|cong(A,B,E,F))),
% 5.52/1.03 inference(miniscoping,[status(esa)],[f152])).
% 5.52/1.03 fof(f154,plain,(
% 5.52/1.03 ![X0,X1,X2,X3,X4,X5]: (~cong(X0,X1,X2,X3)|~cong(X2,X3,X4,X5)|cong(X0,X1,X4,X5))),
% 5.52/1.03 inference(cnf_transformation,[status(esa)],[f153])).
% 5.52/1.03 fof(f184,plain,(
% 5.52/1.03 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 5.52/1.03 inference(pre_NNF_transformation,[status(esa)],[f39])).
% 5.52/1.03 fof(f185,plain,(
% 5.52/1.04 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 5.52/1.04 inference(miniscoping,[status(esa)],[f184])).
% 5.52/1.04 fof(f186,plain,(
% 5.52/1.04 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 5.52/1.04 inference(cnf_transformation,[status(esa)],[f185])).
% 5.52/1.04 fof(f187,plain,(
% 5.52/1.04 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 5.52/1.04 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 5.52/1.04 fof(f188,plain,(
% 5.52/1.04 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 5.52/1.04 inference(miniscoping,[status(esa)],[f187])).
% 5.52/1.04 fof(f189,plain,(
% 5.52/1.04 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 5.52/1.04 inference(cnf_transformation,[status(esa)],[f188])).
% 5.52/1.04 fof(f199,plain,(
% 5.52/1.04 ![A,B,C,E,F]: ((~midp(E,A,B)|~midp(F,A,C))|para(E,F,B,C))),
% 5.52/1.04 inference(pre_NNF_transformation,[status(esa)],[f45])).
% 5.52/1.04 fof(f200,plain,(
% 5.52/1.04 ![B,C,E,F]: ((![A]: (~midp(E,A,B)|~midp(F,A,C)))|para(E,F,B,C))),
% 5.52/1.04 inference(miniscoping,[status(esa)],[f199])).
% 5.52/1.04 fof(f201,plain,(
% 5.52/1.04 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~midp(X3,X1,X4)|para(X0,X3,X2,X4))),
% 5.52/1.04 inference(cnf_transformation,[status(esa)],[f200])).
% 5.52/1.04 fof(f202,plain,(
% 5.52/1.04 ![A,B,C,E,F]: (((~midp(E,A,B)|~para(E,F,B,C))|~coll(F,A,C))|midp(F,A,C))),
% 5.52/1.04 inference(pre_NNF_transformation,[status(esa)],[f46])).
% 5.52/1.04 fof(f203,plain,(
% 5.52/1.04 ![A,C,F]: (((![B,E]: (~midp(E,A,B)|~para(E,F,B,C)))|~coll(F,A,C))|midp(F,A,C))),
% 5.52/1.04 inference(miniscoping,[status(esa)],[f202])).
% 5.52/1.04 fof(f204,plain,(
% 5.52/1.04 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X0,X3,X2,X4)|~coll(X3,X1,X4)|midp(X3,X1,X4))),
% 5.52/1.04 inference(cnf_transformation,[status(esa)],[f203])).
% 5.52/1.04 fof(f205,plain,(
% 5.52/1.04 ![A,B,O]: (~cong(O,A,O,B)|eqangle(O,A,A,B,A,B,O,B))),
% 5.52/1.04 inference(pre_NNF_transformation,[status(esa)],[f47])).
% 5.52/1.04 fof(f206,plain,(
% 5.52/1.04 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|eqangle(X0,X1,X1,X2,X1,X2,X0,X2))),
% 5.52/1.04 inference(cnf_transformation,[status(esa)],[f205])).
% 5.52/1.04 fof(f228,plain,(
% 5.52/1.04 ![A,B,M,O]: ((~midp(M,A,B)|~perp(O,M,A,B))|cong(O,A,O,B))),
% 5.52/1.04 inference(pre_NNF_transformation,[status(esa)],[f56])).
% 5.52/1.04 fof(f229,plain,(
% 5.52/1.04 ![A,B,O]: ((![M]: (~midp(M,A,B)|~perp(O,M,A,B)))|cong(O,A,O,B))),
% 5.52/1.04 inference(miniscoping,[status(esa)],[f228])).
% 5.52/1.04 fof(f230,plain,(
% 5.52/1.04 ![X0,X1,X2,X3]: (~midp(X0,X1,X2)|~perp(X3,X0,X1,X2)|cong(X3,X1,X3,X2))),
% 5.52/1.04 inference(cnf_transformation,[status(esa)],[f229])).
% 5.52/1.04 fof(f250,plain,(
% 5.52/1.04 ![A,B,C,D,M]: (((~midp(M,A,B)|~para(A,C,B,D))|~para(A,D,B,C))|midp(M,C,D))),
% 5.52/1.04 inference(pre_NNF_transformation,[status(esa)],[f65])).
% 5.52/1.04 fof(f251,plain,(
% 5.52/1.04 ![C,D,M]: ((![A,B]: ((~midp(M,A,B)|~para(A,C,B,D))|~para(A,D,B,C)))|midp(M,C,D))),
% 5.52/1.04 inference(miniscoping,[status(esa)],[f250])).
% 5.52/1.04 fof(f252,plain,(
% 5.52/1.04 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X1,X3,X2,X4)|~para(X1,X4,X2,X3)|midp(X0,X3,X4))),
% 5.52/1.04 inference(cnf_transformation,[status(esa)],[f251])).
% 5.52/1.04 fof(f255,plain,(
% 5.52/1.04 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 5.52/1.04 inference(pre_NNF_transformation,[status(esa)],[f67])).
% 5.52/1.04 fof(f256,plain,(
% 5.52/1.04 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 5.52/1.04 inference(cnf_transformation,[status(esa)],[f255])).
% 5.52/1.04 fof(f257,plain,(
% 5.52/1.04 ![A,B,C]: ((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))),
% 5.52/1.04 inference(pre_NNF_transformation,[status(esa)],[f68])).
% 5.52/1.04 fof(f258,plain,(
% 5.52/1.04 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|~coll(X0,X1,X2)|midp(X0,X1,X2))),
% 5.52/1.04 inference(cnf_transformation,[status(esa)],[f257])).
% 5.52/1.04 fof(f259,plain,(
% 5.52/1.04 ![A,B,C]: (~midp(A,B,C)|cong(A,B,A,C))),
% 5.52/1.04 inference(pre_NNF_transformation,[status(esa)],[f69])).
% 5.52/1.04 fof(f260,plain,(
% 5.52/1.04 ![X0,X1,X2]: (~midp(X0,X1,X2)|cong(X0,X1,X0,X2))),
% 5.52/1.04 inference(cnf_transformation,[status(esa)],[f259])).
% 5.52/1.04 fof(f369,plain,(
% 5.52/1.04 (?[A,B,C,D,E,F,G,MIDPNT1,MIDPNT2,MIDPNT3]: ((((((((((((midp(MIDPNT1,A,B)&perp(A,B,MIDPNT1,D))&midp(MIDPNT2,A,C))&perp(A,C,MIDPNT2,D))&midp(MIDPNT3,B,C))&perp(B,C,MIDPNT3,D))&perp(C,D,C,E))&perp(B,D,B,E))&perp(F,D,A,B))&coll(F,A,B))&coll(G,D,F))&coll(G,A,C))&~para(G,E,A,B)))),
% 5.52/1.04 inference(pre_NNF_transformation,[status(esa)],[f96])).
% 5.52/1.04 fof(f370,plain,(
% 5.52/1.04 ?[A,B,E,G]: ((?[C]: ((?[D,F]: ((((((?[MIDPNT3]: (((?[MIDPNT2]: (((?[MIDPNT1]: (midp(MIDPNT1,A,B)&perp(A,B,MIDPNT1,D)))&midp(MIDPNT2,A,C))&perp(A,C,MIDPNT2,D)))&midp(MIDPNT3,B,C))&perp(B,C,MIDPNT3,D)))&perp(C,D,C,E))&perp(B,D,B,E))&perp(F,D,A,B))&coll(F,A,B))&coll(G,D,F)))&coll(G,A,C)))&~para(G,E,A,B))),
% 5.52/1.04 inference(miniscoping,[status(esa)],[f369])).
% 5.52/1.04 fof(f371,plain,(
% 5.52/1.04 ((((((((((((midp(sk0_29,sk0_20,sk0_21)&perp(sk0_20,sk0_21,sk0_29,sk0_25))&midp(sk0_28,sk0_20,sk0_24))&perp(sk0_20,sk0_24,sk0_28,sk0_25))&midp(sk0_27,sk0_21,sk0_24))&perp(sk0_21,sk0_24,sk0_27,sk0_25))&perp(sk0_24,sk0_25,sk0_24,sk0_22))&perp(sk0_21,sk0_25,sk0_21,sk0_22))&perp(sk0_26,sk0_25,sk0_20,sk0_21))&coll(sk0_26,sk0_20,sk0_21))&coll(sk0_23,sk0_25,sk0_26))&coll(sk0_23,sk0_20,sk0_24))&~para(sk0_23,sk0_22,sk0_20,sk0_21))),
% 5.52/1.04 inference(skolemization,[status(esa)],[f370])).
% 5.52/1.04 fof(f372,plain,(
% 5.52/1.04 midp(sk0_29,sk0_20,sk0_21)),
% 5.52/1.04 inference(cnf_transformation,[status(esa)],[f371])).
% 5.52/1.04 fof(f373,plain,(
% 5.52/1.04 perp(sk0_20,sk0_21,sk0_29,sk0_25)),
% 5.52/1.04 inference(cnf_transformation,[status(esa)],[f371])).
% 5.52/1.04 fof(f380,plain,(
% 5.52/1.04 perp(sk0_26,sk0_25,sk0_20,sk0_21)),
% 5.52/1.04 inference(cnf_transformation,[status(esa)],[f371])).
% 5.52/1.04 fof(f381,plain,(
% 5.52/1.04 coll(sk0_26,sk0_20,sk0_21)),
% 5.52/1.04 inference(cnf_transformation,[status(esa)],[f371])).
% 5.52/1.04 fof(f382,plain,(
% 5.52/1.04 coll(sk0_23,sk0_25,sk0_26)),
% 5.52/1.04 inference(cnf_transformation,[status(esa)],[f371])).
% 5.52/1.04 fof(f384,plain,(
% 5.52/1.04 ~para(sk0_23,sk0_22,sk0_20,sk0_21)),
% 5.52/1.04 inference(cnf_transformation,[status(esa)],[f371])).
% 5.52/1.04 fof(f387,plain,(
% 5.52/1.04 coll(sk0_26,sk0_21,sk0_20)),
% 5.52/1.04 inference(resolution,[status(thm)],[f98,f381])).
% 5.52/1.04 fof(f394,plain,(
% 5.52/1.04 coll(sk0_25,sk0_23,sk0_26)),
% 5.52/1.04 inference(resolution,[status(thm)],[f100,f382])).
% 5.52/1.04 fof(f395,plain,(
% 5.52/1.04 coll(sk0_21,sk0_26,sk0_20)),
% 5.52/1.04 inference(resolution,[status(thm)],[f100,f387])).
% 5.52/1.04 fof(f396,plain,(
% 5.52/1.04 coll(sk0_20,sk0_26,sk0_21)),
% 5.52/1.04 inference(resolution,[status(thm)],[f100,f381])).
% 5.52/1.04 fof(f405,plain,(
% 5.52/1.04 ![X0]: (~coll(sk0_25,sk0_23,X0)|coll(X0,sk0_26,sk0_25))),
% 5.52/1.04 inference(resolution,[status(thm)],[f103,f394])).
% 5.52/1.04 fof(f413,plain,(
% 5.52/1.04 ![X0]: (~coll(sk0_26,sk0_21,X0)|coll(X0,sk0_20,sk0_26))),
% 5.52/1.04 inference(resolution,[status(thm)],[f103,f387])).
% 5.52/1.04 fof(f417,plain,(
% 5.52/1.04 coll(sk0_21,sk0_20,sk0_26)),
% 5.52/1.04 inference(resolution,[status(thm)],[f395,f98])).
% 5.52/1.04 fof(f418,plain,(
% 5.52/1.04 ![X0]: (~coll(sk0_20,sk0_26,X0)|coll(X0,sk0_21,sk0_20))),
% 5.52/1.04 inference(resolution,[status(thm)],[f396,f103])).
% 5.52/1.04 fof(f433,plain,(
% 5.52/1.04 ![X0]: (~coll(sk0_21,sk0_20,X0)|coll(X0,sk0_26,sk0_21))),
% 5.52/1.04 inference(resolution,[status(thm)],[f417,f103])).
% 5.52/1.04 fof(f441,plain,(
% 5.52/1.04 midp(sk0_29,sk0_21,sk0_20)),
% 5.52/1.04 inference(resolution,[status(thm)],[f122,f372])).
% 5.52/1.04 fof(f445,plain,(
% 5.52/1.04 perp(sk0_20,sk0_21,sk0_25,sk0_29)),
% 5.52/1.04 inference(resolution,[status(thm)],[f112,f373])).
% 5.52/1.04 fof(f450,plain,(
% 5.52/1.04 perp(sk0_26,sk0_25,sk0_21,sk0_20)),
% 5.52/1.04 inference(resolution,[status(thm)],[f380,f112])).
% 5.52/1.04 fof(f457,plain,(
% 5.52/1.04 coll(sk0_26,sk0_26,sk0_25)),
% 5.52/1.04 inference(resolution,[status(thm)],[f405,f394])).
% 5.52/1.04 fof(f458,plain,(
% 5.52/1.04 ![X0]: (~coll(sk0_26,sk0_26,X0)|coll(X0,sk0_25,sk0_26))),
% 5.52/1.04 inference(resolution,[status(thm)],[f457,f103])).
% 5.52/1.04 fof(f577,plain,(
% 5.52/1.04 perp(sk0_25,sk0_29,sk0_20,sk0_21)),
% 5.52/1.04 inference(resolution,[status(thm)],[f114,f445])).
% 5.52/1.04 fof(f578,plain,(
% 5.52/1.04 perp(sk0_29,sk0_25,sk0_20,sk0_21)),
% 5.52/1.04 inference(resolution,[status(thm)],[f114,f373])).
% 5.52/1.04 fof(f590,plain,(
% 5.52/1.04 ![X0,X1]: (~perp(X0,X1,sk0_20,sk0_21)|para(X0,X1,sk0_29,sk0_25))),
% 5.52/1.04 inference(resolution,[status(thm)],[f117,f373])).
% 5.52/1.04 fof(f724,plain,(
% 5.52/1.04 perp(sk0_25,sk0_29,sk0_21,sk0_20)),
% 5.52/1.04 inference(resolution,[status(thm)],[f577,f112])).
% 5.52/1.04 fof(f875,plain,(
% 5.52/1.04 para(sk0_29,sk0_25,sk0_29,sk0_25)),
% 5.52/1.04 inference(resolution,[status(thm)],[f590,f578])).
% 5.52/1.04 fof(f966,plain,(
% 5.52/1.04 ![X0]: (~midp(sk0_23,X0,sk0_20)|~midp(sk0_22,X0,sk0_21))),
% 5.52/1.04 inference(resolution,[status(thm)],[f201,f384])).
% 5.52/1.04 fof(f1051,plain,(
% 5.52/1.04 ![X0,X1,X2,X3,X4,X5]: (eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|~para(X1,X0,X4,X5))),
% 5.52/1.04 inference(resolution,[status(thm)],[f138,f189])).
% 5.52/1.04 fof(f1052,plain,(
% 5.52/1.04 ![X0,X1,X2,X3,X4,X5]: (eqangle(X0,X1,X2,X3,X0,X1,X4,X5)|~para(X2,X3,X4,X5))),
% 5.52/1.04 inference(resolution,[status(thm)],[f140,f189])).
% 5.52/1.04 fof(f1208,plain,(
% 5.52/1.04 spl0_0 <=> midp(sk0_25,sk0_21,sk0_20)),
% 5.52/1.04 introduced(split_symbol_definition)).
% 5.52/1.04 fof(f1291,plain,(
% 5.52/1.04 spl0_21 <=> cong(sk0_25,sk0_21,sk0_25,sk0_20)),
% 5.52/1.04 introduced(split_symbol_definition)).
% 5.52/1.04 fof(f1292,plain,(
% 5.52/1.04 cong(sk0_25,sk0_21,sk0_25,sk0_20)|~spl0_21),
% 5.52/1.04 inference(component_clause,[status(thm)],[f1291])).
% 5.52/1.04 fof(f1304,plain,(
% 5.52/1.04 spl0_24 <=> midp(sk0_29,sk0_21,sk0_20)),
% 5.52/1.04 introduced(split_symbol_definition)).
% 5.52/1.04 fof(f1306,plain,(
% 5.52/1.04 ~midp(sk0_29,sk0_21,sk0_20)|spl0_24),
% 5.52/1.04 inference(component_clause,[status(thm)],[f1304])).
% 5.52/1.04 fof(f1307,plain,(
% 5.52/1.04 ~midp(sk0_29,sk0_21,sk0_20)|cong(sk0_25,sk0_21,sk0_25,sk0_20)),
% 5.52/1.04 inference(resolution,[status(thm)],[f230,f724])).
% 5.52/1.04 fof(f1308,plain,(
% 5.52/1.04 ~spl0_24|spl0_21),
% 5.52/1.04 inference(split_clause,[status(thm)],[f1307,f1304,f1291])).
% 5.52/1.04 fof(f1378,plain,(
% 5.52/1.04 spl0_42 <=> cong(sk0_26,sk0_21,sk0_26,sk0_20)),
% 5.52/1.04 introduced(split_symbol_definition)).
% 5.52/1.04 fof(f1379,plain,(
% 5.52/1.04 cong(sk0_26,sk0_21,sk0_26,sk0_20)|~spl0_42),
% 5.52/1.04 inference(component_clause,[status(thm)],[f1378])).
% 5.52/1.04 fof(f1381,plain,(
% 5.52/1.04 ~midp(sk0_25,sk0_21,sk0_20)|cong(sk0_26,sk0_21,sk0_26,sk0_20)),
% 5.52/1.04 inference(resolution,[status(thm)],[f230,f450])).
% 5.52/1.04 fof(f1382,plain,(
% 5.52/1.04 ~spl0_0|spl0_42),
% 5.52/1.04 inference(split_clause,[status(thm)],[f1381,f1208,f1378])).
% 5.52/1.04 fof(f1590,plain,(
% 5.52/1.04 $false|spl0_24),
% 5.52/1.04 inference(forward_subsumption_resolution,[status(thm)],[f1306,f441])).
% 5.52/1.04 fof(f1591,plain,(
% 5.52/1.04 spl0_24),
% 5.52/1.04 inference(contradiction_clause,[status(thm)],[f1590])).
% 5.52/1.04 fof(f1634,plain,(
% 5.52/1.04 ![X0,X1,X2]: (cong(X0,X1,X2,X0)|~midp(X0,X1,X2))),
% 5.52/1.04 inference(resolution,[status(thm)],[f149,f260])).
% 5.52/1.04 fof(f1649,plain,(
% 5.52/1.04 coll(sk0_26,sk0_26,sk0_21)),
% 5.52/1.04 inference(resolution,[status(thm)],[f433,f417])).
% 5.52/1.04 fof(f1655,plain,(
% 5.52/1.04 coll(sk0_26,sk0_21,sk0_26)),
% 5.52/1.04 inference(resolution,[status(thm)],[f1649,f98])).
% 5.52/1.04 fof(f1666,plain,(
% 5.52/1.04 coll(sk0_26,sk0_20,sk0_26)),
% 5.52/1.04 inference(resolution,[status(thm)],[f1655,f413])).
% 5.52/1.04 fof(f1680,plain,(
% 5.52/1.04 coll(sk0_26,sk0_26,sk0_20)),
% 5.52/1.04 inference(resolution,[status(thm)],[f1666,f98])).
% 5.52/1.04 fof(f2024,plain,(
% 5.52/1.04 ![X0,X1,X2]: (cong(X0,X1,X1,X2)|~midp(X1,X2,X0))),
% 5.52/1.04 inference(resolution,[status(thm)],[f151,f1634])).
% 5.52/1.04 fof(f2025,plain,(
% 5.52/1.04 ![X0,X1,X2]: (cong(X0,X1,X0,X2)|~midp(X0,X2,X1))),
% 5.52/1.04 inference(resolution,[status(thm)],[f151,f260])).
% 5.52/1.04 fof(f2027,plain,(
% 5.52/1.04 ![X0,X1,X2]: (~midp(X0,X1,X2)|cong(X2,X0,X1,X0))),
% 5.52/1.04 inference(resolution,[status(thm)],[f2024,f149])).
% 5.52/1.04 fof(f2034,plain,(
% 5.52/1.04 ![X0,X1,X2]: (~midp(X0,X1,X2)|cong(X0,X2,X1,X0))),
% 5.52/1.04 inference(resolution,[status(thm)],[f2025,f149])).
% 5.52/1.04 fof(f2040,plain,(
% 5.52/1.04 ![X0,X1,X2]: (~midp(X0,X1,X2)|cong(X1,X0,X2,X0))),
% 5.52/1.04 inference(resolution,[status(thm)],[f2027,f151])).
% 5.52/1.04 fof(f2047,plain,(
% 5.52/1.04 ![X0,X1,X2]: (~midp(X0,X1,X2)|cong(X1,X0,X0,X2))),
% 5.52/1.04 inference(resolution,[status(thm)],[f2034,f151])).
% 5.52/1.04 fof(f2160,plain,(
% 5.52/1.04 coll(sk0_20,sk0_25,sk0_26)),
% 5.52/1.04 inference(resolution,[status(thm)],[f458,f1680])).
% 5.52/1.04 fof(f2166,plain,(
% 5.52/1.04 coll(sk0_20,sk0_26,sk0_25)),
% 5.52/1.04 inference(resolution,[status(thm)],[f2160,f98])).
% 5.52/1.04 fof(f2173,plain,(
% 5.52/1.04 coll(sk0_25,sk0_21,sk0_20)),
% 5.52/1.04 inference(resolution,[status(thm)],[f2166,f418])).
% 5.52/1.04 fof(f2230,plain,(
% 5.52/1.04 spl0_160 <=> coll(sk0_25,sk0_21,sk0_20)),
% 5.52/1.04 introduced(split_symbol_definition)).
% 5.52/1.04 fof(f2232,plain,(
% 5.52/1.04 ~coll(sk0_25,sk0_21,sk0_20)|spl0_160),
% 5.52/1.04 inference(component_clause,[status(thm)],[f2230])).
% 5.52/1.04 fof(f2233,plain,(
% 5.52/1.04 ~coll(sk0_25,sk0_21,sk0_20)|midp(sk0_25,sk0_21,sk0_20)|~spl0_21),
% 5.52/1.04 inference(resolution,[status(thm)],[f258,f1292])).
% 5.52/1.04 fof(f2234,plain,(
% 5.52/1.04 ~spl0_160|spl0_0|~spl0_21),
% 5.52/1.04 inference(split_clause,[status(thm)],[f2233,f2230,f1208,f1291])).
% 5.52/1.04 fof(f2245,plain,(
% 5.52/1.04 $false|spl0_160),
% 5.52/1.04 inference(forward_subsumption_resolution,[status(thm)],[f2232,f2173])).
% 5.52/1.04 fof(f2246,plain,(
% 5.52/1.04 spl0_160),
% 5.52/1.04 inference(contradiction_clause,[status(thm)],[f2245])).
% 5.52/1.04 fof(f2410,plain,(
% 5.52/1.04 ![X0,X1]: (~cong(X0,X1,sk0_26,sk0_21)|cong(X0,X1,sk0_26,sk0_20)|~spl0_42)),
% 5.52/1.04 inference(resolution,[status(thm)],[f1379,f154])).
% 5.52/1.04 fof(f2411,plain,(
% 5.52/1.04 cong(sk0_26,sk0_21,sk0_20,sk0_26)|~spl0_42),
% 5.52/1.04 inference(resolution,[status(thm)],[f1379,f149])).
% 5.52/1.04 fof(f2876,plain,(
% 5.52/1.04 cong(sk0_20,sk0_26,sk0_26,sk0_21)|~spl0_42),
% 5.52/1.04 inference(resolution,[status(thm)],[f2411,f151])).
% 5.52/1.04 fof(f3248,plain,(
% 5.52/1.04 cong(sk0_20,sk0_26,sk0_26,sk0_20)|~spl0_42),
% 5.52/1.04 inference(resolution,[status(thm)],[f2410,f2876])).
% 5.52/1.04 fof(f3391,plain,(
% 5.52/1.04 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X1,X0,X2,X3))),
% 5.52/1.04 inference(resolution,[status(thm)],[f1051,f186])).
% 5.52/1.04 fof(f3601,plain,(
% 5.52/1.04 cong(sk0_20,sk0_26,sk0_20,sk0_26)|~spl0_42),
% 5.52/1.04 inference(resolution,[status(thm)],[f3248,f149])).
% 5.52/1.04 fof(f3771,plain,(
% 5.52/1.04 spl0_216 <=> ~para(X0,X1,X0,X1)),
% 5.52/1.04 introduced(split_symbol_definition)).
% 5.52/1.04 fof(f3772,plain,(
% 5.52/1.04 ![X0,X1]: (~para(X0,X1,X0,X1)|~spl0_216)),
% 5.52/1.04 inference(component_clause,[status(thm)],[f3771])).
% 5.52/1.04 fof(f3774,plain,(
% 5.52/1.04 spl0_217 <=> para(X2,X3,X2,X3)),
% 5.52/1.04 introduced(split_symbol_definition)).
% 5.52/1.04 fof(f3775,plain,(
% 5.52/1.04 ![X0,X1]: (para(X0,X1,X0,X1)|~spl0_217)),
% 5.52/1.04 inference(component_clause,[status(thm)],[f3774])).
% 5.52/1.04 fof(f3777,plain,(
% 5.52/1.04 ![X0,X1,X2,X3]: (~para(X0,X1,X0,X1)|para(X2,X3,X2,X3))),
% 5.52/1.04 inference(resolution,[status(thm)],[f1052,f186])).
% 5.52/1.04 fof(f3778,plain,(
% 5.52/1.04 spl0_216|spl0_217),
% 5.52/1.04 inference(split_clause,[status(thm)],[f3777,f3771,f3774])).
% 5.52/1.04 fof(f3871,plain,(
% 5.52/1.04 ![X0,X1]: (~cong(X0,X0,X0,X1)|para(X0,X0,X0,X1))),
% 5.52/1.04 inference(resolution,[status(thm)],[f206,f186])).
% 5.52/1.04 fof(f3898,plain,(
% 5.52/1.04 $false|~spl0_216),
% 5.52/1.04 inference(backward_subsumption_resolution,[status(thm)],[f875,f3772])).
% 5.52/1.04 fof(f3899,plain,(
% 5.52/1.04 ~spl0_216),
% 5.52/1.04 inference(contradiction_clause,[status(thm)],[f3898])).
% 5.52/1.04 fof(f3908,plain,(
% 5.52/1.04 ![X0,X1]: (para(X0,X1,X1,X0)|~spl0_217)),
% 5.52/1.04 inference(resolution,[status(thm)],[f3775,f3391])).
% 5.52/1.04 fof(f3910,plain,(
% 5.52/1.04 ![X0,X1,X2]: (~midp(X0,X1,X1)|~para(X1,X2,X1,X2)|midp(X0,X2,X2)|~spl0_217)),
% 5.52/1.04 inference(resolution,[status(thm)],[f3775,f252])).
% 5.52/1.04 fof(f3911,plain,(
% 5.52/1.04 ![X0,X1,X2]: (~midp(X0,X1,X1)|midp(X0,X2,X2)|~spl0_217)),
% 5.52/1.04 inference(forward_subsumption_resolution,[status(thm)],[f3910,f3775])).
% 5.52/1.04 fof(f3913,plain,(
% 5.52/1.04 ![X0,X1]: (coll(X0,X1,X1)|~spl0_217)),
% 5.52/1.04 inference(resolution,[status(thm)],[f3775,f256])).
% 5.52/1.04 fof(f3949,plain,(
% 5.52/1.04 ![X0,X1]: (coll(X0,X1,X0)|~spl0_217)),
% 5.52/1.04 inference(resolution,[status(thm)],[f3913,f100])).
% 5.52/1.04 fof(f3985,plain,(
% 5.52/1.04 ![X0,X1]: (coll(X0,X0,X1)|~spl0_217)),
% 5.52/1.04 inference(resolution,[status(thm)],[f3949,f98])).
% 5.52/1.04 fof(f3992,plain,(
% 5.52/1.04 ![X0,X1,X2]: (~coll(X0,X0,X1)|coll(X1,X2,X0)|~spl0_217)),
% 5.52/1.04 inference(resolution,[status(thm)],[f3985,f103])).
% 5.52/1.04 fof(f3993,plain,(
% 5.52/1.04 ![X0,X1,X2]: (coll(X0,X1,X2)|~spl0_217)),
% 5.52/1.04 inference(forward_subsumption_resolution,[status(thm)],[f3992,f3985])).
% 5.52/1.04 fof(f3998,plain,(
% 5.52/1.04 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|midp(X0,X1,X2)|~spl0_217)),
% 5.52/1.04 inference(backward_subsumption_resolution,[status(thm)],[f258,f3993])).
% 5.52/1.04 fof(f3999,plain,(
% 5.52/1.04 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X0,X3,X2,X4)|midp(X3,X1,X4)|~spl0_217)),
% 5.52/1.04 inference(backward_subsumption_resolution,[status(thm)],[f204,f3993])).
% 5.52/1.04 fof(f4031,plain,(
% 5.52/1.04 ![X0,X1]: (midp(X0,X1,X1)|~midp(X1,X0,X0)|~spl0_217)),
% 5.52/1.04 inference(resolution,[status(thm)],[f3998,f2040])).
% 5.52/1.04 fof(f4049,plain,(
% 5.52/1.04 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X2,X1,X0)|~spl0_217)),
% 5.52/1.04 inference(resolution,[status(thm)],[f3999,f3908])).
% 5.52/1.04 fof(f4125,plain,(
% 5.52/1.04 ![X0,X1]: (para(X0,X0,X0,X1)|~midp(X0,X0,X1))),
% 5.52/1.04 inference(resolution,[status(thm)],[f3871,f2047])).
% 5.52/1.04 fof(f4191,plain,(
% 5.52/1.04 ![X0,X1]: (~midp(X0,X0,X1)|para(X0,X1,X0,X0))),
% 5.52/1.04 inference(resolution,[status(thm)],[f4125,f107])).
% 5.52/1.04 fof(f4434,plain,(
% 5.52/1.04 midp(sk0_20,sk0_26,sk0_26)|~spl0_42|~spl0_217),
% 5.52/1.04 inference(resolution,[status(thm)],[f3601,f3998])).
% 5.52/1.04 fof(f4646,plain,(
% 5.52/1.04 ![X0]: (midp(sk0_20,X0,X0)|~spl0_42|~spl0_217)),
% 5.52/1.04 inference(resolution,[status(thm)],[f3911,f4434])).
% 5.52/1.04 fof(f4812,plain,(
% 5.52/1.04 ![X0]: (midp(X0,sk0_20,sk0_20)|~spl0_42|~spl0_217)),
% 5.52/1.04 inference(resolution,[status(thm)],[f4031,f4646])).
% 5.52/1.04 fof(f4820,plain,(
% 5.52/1.04 ![X0,X1]: (midp(X0,X1,X1)|~spl0_42|~spl0_217)),
% 5.52/1.04 inference(resolution,[status(thm)],[f4812,f3911])).
% 5.52/1.04 fof(f4857,plain,(
% 5.52/1.04 ![X0,X1]: (midp(X0,X0,X1)|~spl0_42|~spl0_217)),
% 5.52/1.04 inference(resolution,[status(thm)],[f4049,f4820])).
% 5.52/1.04 fof(f4860,plain,(
% 5.52/1.04 ![X0,X1]: (para(X0,X1,X0,X0)|~spl0_42|~spl0_217)),
% 5.52/1.04 inference(backward_subsumption_resolution,[status(thm)],[f4191,f4857])).
% 5.52/1.04 fof(f4907,plain,(
% 5.52/1.04 ![X0,X1]: (midp(X0,X1,X0)|~spl0_42|~spl0_217)),
% 5.52/1.04 inference(resolution,[status(thm)],[f4857,f122])).
% 5.52/1.04 fof(f4953,plain,(
% 5.52/1.04 ![X0,X1,X2]: (~midp(X0,X1,X0)|midp(X2,X1,X0)|~spl0_42|~spl0_217)),
% 5.52/1.04 inference(resolution,[status(thm)],[f4860,f3999])).
% 5.52/1.04 fof(f4954,plain,(
% 5.52/1.04 ![X0,X1,X2]: (midp(X0,X1,X2)|~spl0_42|~spl0_217)),
% 5.52/1.04 inference(forward_subsumption_resolution,[status(thm)],[f4953,f4907])).
% 5.52/1.04 fof(f4962,plain,(
% 5.52/1.04 ![X0]: (~midp(sk0_22,X0,sk0_21)|~spl0_42|~spl0_217)),
% 5.52/1.04 inference(backward_subsumption_resolution,[status(thm)],[f966,f4954])).
% 5.52/1.04 fof(f4963,plain,(
% 5.52/1.04 $false|~spl0_42|~spl0_217),
% 5.52/1.04 inference(forward_subsumption_resolution,[status(thm)],[f4962,f4954])).
% 5.52/1.04 fof(f4964,plain,(
% 5.52/1.04 ~spl0_42|~spl0_217),
% 5.52/1.04 inference(contradiction_clause,[status(thm)],[f4963])).
% 5.52/1.04 fof(f4965,plain,(
% 5.52/1.04 $false),
% 5.52/1.04 inference(sat_refutation,[status(thm)],[f1308,f1382,f1591,f2234,f2246,f3778,f3899,f4964])).
% 5.52/1.04 % SZS output end CNFRefutation for theBenchmark.p
% 5.52/1.06 % Elapsed time: 0.745231 seconds
% 5.52/1.06 % CPU time: 5.749711 seconds
% 5.52/1.06 % Total memory used: 120.869 MB
% 5.52/1.06 % Net memory used: 113.253 MB
%------------------------------------------------------------------------------