TSTP Solution File: GEO589+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO589+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n021.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 : Wed May 31 12:09:15 EDT 2023
% Result : Theorem 2.17s 0.68s
% Output : CNFRefutation 2.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO589+1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue May 30 12:01:22 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.5.1
% 2.17/0.68 % Refutation found
% 2.17/0.68 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.17/0.68 % SZS output start CNFRefutation for theBenchmark
% 2.17/0.68 fof(f1,axiom,(
% 2.17/0.68 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 2.17/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.17/0.68 fof(f2,axiom,(
% 2.17/0.68 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 2.17/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.17/0.68 fof(f3,axiom,(
% 2.17/0.68 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 2.17/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.17/0.68 fof(f5,axiom,(
% 2.17/0.68 (! [A,B,C,D] :( para(A,B,C,D)=> para(C,D,A,B) ) )),
% 2.17/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.17/0.68 fof(f8,axiom,(
% 2.17/0.68 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 2.17/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.17/0.68 fof(f9,axiom,(
% 2.17/0.68 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 2.17/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.17/0.68 fof(f17,axiom,(
% 2.17/0.68 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 2.17/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.17/0.68 fof(f18,axiom,(
% 2.17/0.68 (! [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) ) )),
% 2.17/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.17/0.68 fof(f19,axiom,(
% 2.17/0.68 (! [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) ) )),
% 2.17/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.17/0.68 fof(f20,axiom,(
% 2.17/0.68 (! [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) ) )),
% 2.17/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.17/0.68 fof(f21,axiom,(
% 2.17/0.68 (! [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) ) )),
% 2.17/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.17/0.68 fof(f24,axiom,(
% 2.17/0.68 (! [A,B,C,D] :( cong(A,B,C,D)=> cong(C,D,A,B) ) )),
% 2.17/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.17/0.68 fof(f39,axiom,(
% 2.17/0.68 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 2.17/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.17/0.68 fof(f40,axiom,(
% 2.17/0.68 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 2.17/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.17/0.68 fof(f41,axiom,(
% 2.17/0.68 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 2.17/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.17/0.68 fof(f43,axiom,(
% 2.17/0.68 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 2.17/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.17/0.68 fof(f44,axiom,(
% 2.17/0.68 (! [A,B,C,P,Q,R] :( ( cyclic(A,B,C,P)& cyclic(A,B,C,Q)& cyclic(A,B,C,R)& eqangle(C,A,C,B,R,P,R,Q) )=> cong(A,B,P,Q) ) )),
% 2.17/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.17/0.68 fof(f45,axiom,(
% 2.17/0.68 (! [A,B,C,E,F] :( ( midp(E,A,B)& midp(F,A,C) )=> para(E,F,B,C) ) )),
% 2.17/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.17/0.68 fof(f46,axiom,(
% 2.17/0.68 (! [A,B,C,E,F] :( ( midp(E,A,B)& para(E,F,B,C)& coll(F,A,C) )=> midp(F,A,C) ) )),
% 2.17/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.17/0.68 fof(f47,axiom,(
% 2.17/0.68 (! [A,B,O] :( cong(O,A,O,B)=> eqangle(O,A,A,B,A,B,O,B) ) )),
% 2.17/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.17/0.68 fof(f67,axiom,(
% 2.17/0.68 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 2.17/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.17/0.68 fof(f68,axiom,(
% 2.17/0.68 (! [A,B,C] :( ( cong(A,B,A,C)& coll(A,B,C) )=> midp(A,B,C) ) )),
% 2.17/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.17/0.68 fof(f69,axiom,(
% 2.17/0.68 (! [A,B,C] :( midp(A,B,C)=> cong(A,B,A,C) ) )),
% 2.17/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.17/0.68 fof(f95,conjecture,(
% 2.17/0.68 (! [A,B,C,O,D,E,NWPNT1,NWPNT2] :( ( circle(O,A,B,C)& perp(A,C,B,D)& circle(O,A,D,NWPNT1)& circle(O,D,E,NWPNT2)& coll(E,D,O) )=> para(B,E,A,C) ) )),
% 2.17/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.17/0.68 fof(f96,negated_conjecture,(
% 2.17/0.68 ~((! [A,B,C,O,D,E,NWPNT1,NWPNT2] :( ( circle(O,A,B,C)& perp(A,C,B,D)& circle(O,A,D,NWPNT1)& circle(O,D,E,NWPNT2)& coll(E,D,O) )=> para(B,E,A,C) ) ))),
% 2.17/0.68 inference(negated_conjecture,[status(cth)],[f95])).
% 2.17/0.68 fof(f97,plain,(
% 2.17/0.68 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 2.17/0.68 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 2.17/0.68 fof(f98,plain,(
% 2.17/0.68 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 2.17/0.68 inference(cnf_transformation,[status(esa)],[f97])).
% 2.17/0.68 fof(f99,plain,(
% 2.17/0.68 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 2.17/0.68 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 2.17/0.68 fof(f100,plain,(
% 2.17/0.68 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 2.17/0.68 inference(cnf_transformation,[status(esa)],[f99])).
% 2.17/0.68 fof(f101,plain,(
% 2.17/0.68 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 2.17/0.68 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 2.17/0.68 fof(f102,plain,(
% 2.17/0.68 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 2.17/0.68 inference(miniscoping,[status(esa)],[f101])).
% 2.17/0.68 fof(f103,plain,(
% 2.17/0.68 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 2.17/0.68 inference(cnf_transformation,[status(esa)],[f102])).
% 2.17/0.68 fof(f106,plain,(
% 2.17/0.68 ![A,B,C,D]: (~para(A,B,C,D)|para(C,D,A,B))),
% 2.17/0.68 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 2.17/0.68 fof(f107,plain,(
% 2.17/0.68 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X2,X3,X0,X1))),
% 2.17/0.68 inference(cnf_transformation,[status(esa)],[f106])).
% 2.17/0.68 fof(f113,plain,(
% 2.17/0.68 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 2.17/0.68 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 2.17/0.68 fof(f114,plain,(
% 2.17/0.68 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 2.17/0.68 inference(cnf_transformation,[status(esa)],[f113])).
% 2.17/0.68 fof(f115,plain,(
% 2.17/0.68 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 2.17/0.68 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 2.17/0.68 fof(f116,plain,(
% 2.17/0.68 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 2.17/0.68 inference(miniscoping,[status(esa)],[f115])).
% 2.17/0.68 fof(f117,plain,(
% 2.17/0.68 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 2.17/0.68 inference(cnf_transformation,[status(esa)],[f116])).
% 2.17/0.68 fof(f134,plain,(
% 2.17/0.68 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 2.17/0.68 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 2.17/0.68 fof(f135,plain,(
% 2.17/0.68 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 2.17/0.68 inference(miniscoping,[status(esa)],[f134])).
% 2.17/0.68 fof(f136,plain,(
% 2.17/0.68 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 2.17/0.68 inference(cnf_transformation,[status(esa)],[f135])).
% 2.17/0.68 fof(f137,plain,(
% 2.17/0.68 ![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))),
% 2.17/0.68 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 2.17/0.68 fof(f138,plain,(
% 2.17/0.68 ![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))),
% 2.17/0.68 inference(cnf_transformation,[status(esa)],[f137])).
% 2.17/0.68 fof(f139,plain,(
% 2.17/0.68 ![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))),
% 2.17/0.68 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 2.17/0.68 fof(f140,plain,(
% 2.17/0.68 ![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))),
% 2.17/0.68 inference(cnf_transformation,[status(esa)],[f139])).
% 2.17/0.68 fof(f141,plain,(
% 2.17/0.68 ![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))),
% 2.17/0.68 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 2.17/0.68 fof(f142,plain,(
% 2.17/0.68 ![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))),
% 2.17/0.68 inference(cnf_transformation,[status(esa)],[f141])).
% 2.17/0.68 fof(f143,plain,(
% 2.17/0.68 ![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))),
% 2.17/0.68 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 2.17/0.68 fof(f144,plain,(
% 2.17/0.68 ![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))),
% 2.17/0.68 inference(cnf_transformation,[status(esa)],[f143])).
% 2.17/0.68 fof(f150,plain,(
% 2.17/0.68 ![A,B,C,D]: (~cong(A,B,C,D)|cong(C,D,A,B))),
% 2.17/0.68 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 2.17/0.68 fof(f151,plain,(
% 2.17/0.68 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X3)|cong(X2,X3,X0,X1))),
% 2.17/0.68 inference(cnf_transformation,[status(esa)],[f150])).
% 2.17/0.68 fof(f184,plain,(
% 2.17/0.68 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 2.17/0.68 inference(pre_NNF_transformation,[status(esa)],[f39])).
% 2.17/0.68 fof(f185,plain,(
% 2.17/0.68 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 2.17/0.68 inference(miniscoping,[status(esa)],[f184])).
% 2.17/0.68 fof(f186,plain,(
% 2.17/0.68 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 2.17/0.68 inference(cnf_transformation,[status(esa)],[f185])).
% 2.17/0.68 fof(f187,plain,(
% 2.17/0.68 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 2.17/0.68 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 2.17/0.68 fof(f188,plain,(
% 2.17/0.68 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 2.17/0.68 inference(miniscoping,[status(esa)],[f187])).
% 2.17/0.68 fof(f189,plain,(
% 2.17/0.68 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 2.17/0.68 inference(cnf_transformation,[status(esa)],[f188])).
% 2.17/0.68 fof(f190,plain,(
% 2.17/0.68 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 2.17/0.68 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 2.17/0.68 fof(f191,plain,(
% 2.17/0.68 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 2.17/0.68 inference(cnf_transformation,[status(esa)],[f190])).
% 2.17/0.68 fof(f194,plain,(
% 2.17/0.68 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 2.17/0.68 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 2.17/0.68 fof(f195,plain,(
% 2.17/0.68 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 2.17/0.68 inference(cnf_transformation,[status(esa)],[f194])).
% 2.17/0.68 fof(f196,plain,(
% 2.17/0.68 ![A,B,C,P,Q,R]: ((((~cyclic(A,B,C,P)|~cyclic(A,B,C,Q))|~cyclic(A,B,C,R))|~eqangle(C,A,C,B,R,P,R,Q))|cong(A,B,P,Q))),
% 2.17/0.68 inference(pre_NNF_transformation,[status(esa)],[f44])).
% 2.17/0.68 fof(f197,plain,(
% 2.17/0.68 ![A,B,P,Q]: ((![C,R]: (((~cyclic(A,B,C,P)|~cyclic(A,B,C,Q))|~cyclic(A,B,C,R))|~eqangle(C,A,C,B,R,P,R,Q)))|cong(A,B,P,Q))),
% 2.17/0.68 inference(miniscoping,[status(esa)],[f196])).
% 2.17/0.68 fof(f198,plain,(
% 2.17/0.68 ![X0,X1,X2,X3,X4,X5]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|~cyclic(X0,X1,X2,X5)|~eqangle(X2,X0,X2,X1,X5,X3,X5,X4)|cong(X0,X1,X3,X4))),
% 2.17/0.68 inference(cnf_transformation,[status(esa)],[f197])).
% 2.17/0.68 fof(f199,plain,(
% 2.17/0.68 ![A,B,C,E,F]: ((~midp(E,A,B)|~midp(F,A,C))|para(E,F,B,C))),
% 2.17/0.68 inference(pre_NNF_transformation,[status(esa)],[f45])).
% 2.17/0.68 fof(f200,plain,(
% 2.17/0.68 ![B,C,E,F]: ((![A]: (~midp(E,A,B)|~midp(F,A,C)))|para(E,F,B,C))),
% 2.17/0.68 inference(miniscoping,[status(esa)],[f199])).
% 2.17/0.68 fof(f201,plain,(
% 2.17/0.68 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~midp(X3,X1,X4)|para(X0,X3,X2,X4))),
% 2.17/0.68 inference(cnf_transformation,[status(esa)],[f200])).
% 2.17/0.68 fof(f202,plain,(
% 2.17/0.68 ![A,B,C,E,F]: (((~midp(E,A,B)|~para(E,F,B,C))|~coll(F,A,C))|midp(F,A,C))),
% 2.17/0.68 inference(pre_NNF_transformation,[status(esa)],[f46])).
% 2.17/0.68 fof(f203,plain,(
% 2.17/0.68 ![A,C,F]: (((![B,E]: (~midp(E,A,B)|~para(E,F,B,C)))|~coll(F,A,C))|midp(F,A,C))),
% 2.17/0.68 inference(miniscoping,[status(esa)],[f202])).
% 2.17/0.68 fof(f204,plain,(
% 2.17/0.68 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X0,X3,X2,X4)|~coll(X3,X1,X4)|midp(X3,X1,X4))),
% 2.17/0.68 inference(cnf_transformation,[status(esa)],[f203])).
% 2.17/0.68 fof(f205,plain,(
% 2.17/0.68 ![A,B,O]: (~cong(O,A,O,B)|eqangle(O,A,A,B,A,B,O,B))),
% 2.17/0.68 inference(pre_NNF_transformation,[status(esa)],[f47])).
% 2.17/0.68 fof(f206,plain,(
% 2.17/0.68 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|eqangle(X0,X1,X1,X2,X1,X2,X0,X2))),
% 2.17/0.68 inference(cnf_transformation,[status(esa)],[f205])).
% 2.17/0.68 fof(f255,plain,(
% 2.17/0.68 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 2.17/0.68 inference(pre_NNF_transformation,[status(esa)],[f67])).
% 2.17/0.68 fof(f256,plain,(
% 2.17/0.68 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 2.17/0.68 inference(cnf_transformation,[status(esa)],[f255])).
% 2.17/0.68 fof(f257,plain,(
% 2.17/0.68 ![A,B,C]: ((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))),
% 2.17/0.68 inference(pre_NNF_transformation,[status(esa)],[f68])).
% 2.17/0.68 fof(f258,plain,(
% 2.17/0.68 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|~coll(X0,X1,X2)|midp(X0,X1,X2))),
% 2.17/0.68 inference(cnf_transformation,[status(esa)],[f257])).
% 2.17/0.68 fof(f259,plain,(
% 2.17/0.68 ![A,B,C]: (~midp(A,B,C)|cong(A,B,A,C))),
% 2.17/0.68 inference(pre_NNF_transformation,[status(esa)],[f69])).
% 2.17/0.68 fof(f260,plain,(
% 2.17/0.68 ![X0,X1,X2]: (~midp(X0,X1,X2)|cong(X0,X1,X0,X2))),
% 2.17/0.68 inference(cnf_transformation,[status(esa)],[f259])).
% 2.17/0.68 fof(f369,plain,(
% 2.17/0.68 (?[A,B,C,O,D,E,NWPNT1,NWPNT2]: (((((circle(O,A,B,C)&perp(A,C,B,D))&circle(O,A,D,NWPNT1))&circle(O,D,E,NWPNT2))&coll(E,D,O))&~para(B,E,A,C)))),
% 2.17/0.68 inference(pre_NNF_transformation,[status(esa)],[f96])).
% 2.17/0.68 fof(f370,plain,(
% 2.17/0.68 ?[A,B,C,E]: ((?[O,D]: ((((circle(O,A,B,C)&perp(A,C,B,D))&(?[NWPNT1]: circle(O,A,D,NWPNT1)))&(?[NWPNT2]: circle(O,D,E,NWPNT2)))&coll(E,D,O)))&~para(B,E,A,C))),
% 2.17/0.68 inference(miniscoping,[status(esa)],[f369])).
% 2.17/0.68 fof(f371,plain,(
% 2.17/0.68 (((((circle(sk0_24,sk0_20,sk0_21,sk0_22)&perp(sk0_20,sk0_22,sk0_21,sk0_25))&circle(sk0_24,sk0_20,sk0_25,sk0_26))&circle(sk0_24,sk0_25,sk0_23,sk0_27))&coll(sk0_23,sk0_25,sk0_24))&~para(sk0_21,sk0_23,sk0_20,sk0_22))),
% 2.17/0.68 inference(skolemization,[status(esa)],[f370])).
% 2.17/0.68 fof(f373,plain,(
% 2.17/0.68 perp(sk0_20,sk0_22,sk0_21,sk0_25)),
% 2.17/0.68 inference(cnf_transformation,[status(esa)],[f371])).
% 2.17/0.68 fof(f377,plain,(
% 2.17/0.68 ~para(sk0_21,sk0_23,sk0_20,sk0_22)),
% 2.17/0.68 inference(cnf_transformation,[status(esa)],[f371])).
% 2.17/0.68 fof(f399,plain,(
% 2.17/0.68 perp(sk0_21,sk0_25,sk0_20,sk0_22)),
% 2.17/0.68 inference(resolution,[status(thm)],[f114,f373])).
% 2.17/0.68 fof(f415,plain,(
% 2.17/0.68 ![X0,X1]: (~perp(X0,X1,sk0_21,sk0_25)|para(X0,X1,sk0_20,sk0_22))),
% 2.17/0.68 inference(resolution,[status(thm)],[f117,f399])).
% 2.17/0.68 fof(f522,plain,(
% 2.17/0.68 para(sk0_20,sk0_22,sk0_20,sk0_22)),
% 2.17/0.68 inference(resolution,[status(thm)],[f415,f373])).
% 2.17/0.68 fof(f575,plain,(
% 2.17/0.68 ![X0,X1,X2]: (cong(X0,X1,X0,X2)|~midp(X0,X2,X1))),
% 2.17/0.68 inference(resolution,[status(thm)],[f151,f260])).
% 2.17/0.68 fof(f788,plain,(
% 2.17/0.68 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X1,X0,X4,X5,X2,X3,X4,X5))),
% 2.17/0.68 inference(resolution,[status(thm)],[f189,f138])).
% 2.17/0.68 fof(f796,plain,(
% 2.17/0.68 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~midp(X3,X1,X4)|para(X2,X4,X0,X3))),
% 2.17/0.68 inference(resolution,[status(thm)],[f201,f107])).
% 2.17/0.68 fof(f850,plain,(
% 2.17/0.68 ![X0,X1,X2,X3,X4,X5]: (eqangle(X0,X1,X2,X3,X0,X1,X4,X5)|~para(X2,X3,X4,X5))),
% 2.17/0.68 inference(resolution,[status(thm)],[f140,f189])).
% 2.17/0.68 fof(f851,plain,(
% 2.17/0.68 ![X0,X1,X2,X3,X4,X5]: (eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|~para(X4,X5,X0,X1))),
% 2.17/0.68 inference(resolution,[status(thm)],[f142,f189])).
% 2.17/0.68 fof(f1686,plain,(
% 2.17/0.68 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X1,X0,X2,X3))),
% 2.17/0.68 inference(resolution,[status(thm)],[f788,f186])).
% 2.17/0.68 fof(f1708,plain,(
% 2.17/0.68 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~midp(X3,X1,X4)|para(X4,X2,X0,X3))),
% 2.17/0.68 inference(resolution,[status(thm)],[f796,f1686])).
% 2.17/0.68 fof(f1738,plain,(
% 2.17/0.68 spl0_62 <=> ~para(X0,X1,X0,X1)),
% 2.17/0.68 introduced(split_symbol_definition)).
% 2.17/0.68 fof(f1739,plain,(
% 2.17/0.68 ![X0,X1]: (~para(X0,X1,X0,X1)|~spl0_62)),
% 2.17/0.68 inference(component_clause,[status(thm)],[f1738])).
% 2.17/0.68 fof(f1741,plain,(
% 2.17/0.68 spl0_63 <=> para(X2,X3,X2,X3)),
% 2.17/0.68 introduced(split_symbol_definition)).
% 2.17/0.68 fof(f1742,plain,(
% 2.17/0.68 ![X0,X1]: (para(X0,X1,X0,X1)|~spl0_63)),
% 2.17/0.68 inference(component_clause,[status(thm)],[f1741])).
% 2.17/0.68 fof(f1744,plain,(
% 2.17/0.68 ![X0,X1,X2,X3]: (~para(X0,X1,X0,X1)|para(X2,X3,X2,X3))),
% 2.17/0.68 inference(resolution,[status(thm)],[f850,f186])).
% 2.17/0.68 fof(f1745,plain,(
% 2.17/0.68 spl0_62|spl0_63),
% 2.17/0.68 inference(split_clause,[status(thm)],[f1744,f1738,f1741])).
% 2.17/0.68 fof(f1747,plain,(
% 2.17/0.68 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X2,X3,X0,X1,X4,X5,X4,X5))),
% 2.17/0.68 inference(resolution,[status(thm)],[f851,f144])).
% 2.17/0.68 fof(f1777,plain,(
% 2.17/0.68 ![X0,X1]: (~cong(X0,X0,X0,X1)|para(X0,X0,X0,X1))),
% 2.17/0.68 inference(resolution,[status(thm)],[f206,f186])).
% 2.17/0.68 fof(f1782,plain,(
% 2.17/0.68 ![X0,X1]: (para(X0,X0,X0,X1)|~midp(X0,X1,X0))),
% 2.17/0.68 inference(resolution,[status(thm)],[f1777,f575])).
% 2.17/0.68 fof(f1879,plain,(
% 2.17/0.68 ![X0,X1]: (~midp(X0,X1,X0)|para(X0,X1,X0,X0))),
% 2.17/0.68 inference(resolution,[status(thm)],[f1782,f107])).
% 2.17/0.68 fof(f1883,plain,(
% 2.17/0.68 $false|~spl0_62),
% 2.17/0.68 inference(backward_subsumption_resolution,[status(thm)],[f522,f1739])).
% 2.17/0.68 fof(f1884,plain,(
% 2.17/0.68 ~spl0_62),
% 2.17/0.68 inference(contradiction_clause,[status(thm)],[f1883])).
% 2.17/0.68 fof(f1899,plain,(
% 2.17/0.68 ![X0,X1]: (coll(X0,X1,X1)|~spl0_63)),
% 2.17/0.68 inference(resolution,[status(thm)],[f1742,f256])).
% 2.17/0.68 fof(f1953,plain,(
% 2.17/0.68 ![X0,X1]: (coll(X0,X1,X0)|~spl0_63)),
% 2.17/0.68 inference(resolution,[status(thm)],[f1899,f100])).
% 2.17/0.68 fof(f2010,plain,(
% 2.17/0.68 ![X0,X1]: (coll(X0,X0,X1)|~spl0_63)),
% 2.17/0.68 inference(resolution,[status(thm)],[f1953,f98])).
% 2.17/0.68 fof(f2025,plain,(
% 2.17/0.68 ![X0,X1,X2]: (~coll(X0,X0,X1)|coll(X1,X2,X0)|~spl0_63)),
% 2.17/0.68 inference(resolution,[status(thm)],[f2010,f103])).
% 2.17/0.68 fof(f2026,plain,(
% 2.17/0.68 ![X0,X1,X2]: (coll(X0,X1,X2)|~spl0_63)),
% 2.17/0.68 inference(forward_subsumption_resolution,[status(thm)],[f2025,f2010])).
% 2.17/0.68 fof(f2029,plain,(
% 2.17/0.68 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X0,X3,X2,X4)|midp(X3,X1,X4)|~spl0_63)),
% 2.17/0.68 inference(backward_subsumption_resolution,[status(thm)],[f204,f2026])).
% 2.17/0.68 fof(f2045,plain,(
% 2.17/0.68 ![X0,X1,X2]: (~midp(X0,X1,X0)|midp(X2,X1,X2)|~spl0_63)),
% 2.17/0.68 inference(resolution,[status(thm)],[f2029,f1742])).
% 2.17/0.68 fof(f2174,plain,(
% 2.17/0.68 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|midp(X0,X1,X2)|~spl0_63)),
% 2.17/0.69 inference(forward_subsumption_resolution,[status(thm)],[f258,f2026])).
% 2.17/0.69 fof(f2258,plain,(
% 2.17/0.69 ![X0]: (~midp(sk0_20,X0,sk0_23)|~midp(sk0_22,X0,sk0_21))),
% 2.17/0.69 inference(resolution,[status(thm)],[f1708,f377])).
% 2.17/0.69 fof(f2829,plain,(
% 2.17/0.69 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|cyclic(X1,X2,X0,X3)|~spl0_63)),
% 2.17/0.69 inference(forward_subsumption_resolution,[status(thm)],[f195,f2026])).
% 2.17/0.69 fof(f2836,plain,(
% 2.17/0.69 ![X0,X1,X2]: (cyclic(X0,X0,X1,X2)|~para(X1,X0,X1,X0)|~spl0_63)),
% 2.17/0.69 inference(resolution,[status(thm)],[f2829,f1747])).
% 2.17/0.69 fof(f2837,plain,(
% 2.17/0.69 ![X0,X1,X2]: (cyclic(X0,X0,X1,X2)|~spl0_63)),
% 2.17/0.69 inference(forward_subsumption_resolution,[status(thm)],[f2836,f1742])).
% 2.17/0.69 fof(f3008,plain,(
% 2.17/0.69 ![X0,X1,X2,X3]: (~cyclic(X0,X0,X1,X2)|cyclic(X0,X1,X2,X3)|~spl0_63)),
% 2.17/0.69 inference(resolution,[status(thm)],[f2837,f136])).
% 2.17/0.69 fof(f3009,plain,(
% 2.17/0.69 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3)|~spl0_63)),
% 2.17/0.69 inference(forward_subsumption_resolution,[status(thm)],[f3008,f2837])).
% 2.17/0.69 fof(f3042,plain,(
% 2.17/0.69 ![X0,X1,X2,X3,X4,X5]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|~eqangle(X2,X0,X2,X1,X4,X5,X4,X3)|cong(X0,X1,X5,X3)|~spl0_63)),
% 2.17/0.69 inference(backward_subsumption_resolution,[status(thm)],[f198,f3009])).
% 2.17/0.69 fof(f3043,plain,(
% 2.17/0.69 ![X0,X1,X2,X3,X4,X5]: (~cyclic(X0,X1,X2,X3)|~eqangle(X2,X0,X2,X1,X3,X4,X3,X5)|cong(X0,X1,X4,X5)|~spl0_63)),
% 2.17/0.69 inference(forward_subsumption_resolution,[status(thm)],[f3042,f3009])).
% 2.17/0.69 fof(f3048,plain,(
% 2.17/0.69 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~spl0_63)),
% 2.17/0.69 inference(backward_subsumption_resolution,[status(thm)],[f191,f3009])).
% 2.17/0.69 fof(f3073,plain,(
% 2.17/0.69 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X0,X2,X3,X4,X3,X5)|cong(X1,X2,X4,X5)|~spl0_63)),
% 2.17/0.69 inference(forward_subsumption_resolution,[status(thm)],[f3043,f3009])).
% 2.17/0.69 fof(f3092,plain,(
% 2.17/0.69 ![X0,X1]: (cong(X0,X1,X0,X1)|~spl0_63)),
% 2.17/0.69 inference(resolution,[status(thm)],[f3048,f3073])).
% 2.17/0.69 fof(f3437,plain,(
% 2.17/0.69 ![X0,X1]: (midp(X0,X1,X1)|~spl0_63)),
% 2.17/0.69 inference(resolution,[status(thm)],[f3092,f2174])).
% 2.17/0.69 fof(f3459,plain,(
% 2.17/0.69 ![X0,X1]: (midp(X0,X1,X0)|~spl0_63)),
% 2.17/0.69 inference(resolution,[status(thm)],[f3437,f2045])).
% 2.17/0.69 fof(f3475,plain,(
% 2.17/0.69 ![X0,X1]: (para(X0,X1,X0,X0)|~spl0_63)),
% 2.17/0.69 inference(backward_subsumption_resolution,[status(thm)],[f1879,f3459])).
% 2.17/0.69 fof(f3605,plain,(
% 2.17/0.69 ![X0,X1,X2]: (~midp(X0,X1,X0)|midp(X2,X1,X0)|~spl0_63)),
% 2.17/0.69 inference(resolution,[status(thm)],[f3475,f2029])).
% 2.17/0.69 fof(f3606,plain,(
% 2.17/0.69 ![X0,X1,X2]: (midp(X0,X1,X2)|~spl0_63)),
% 2.17/0.69 inference(forward_subsumption_resolution,[status(thm)],[f3605,f3459])).
% 2.17/0.69 fof(f3625,plain,(
% 2.17/0.69 ![X0]: (~midp(sk0_22,X0,sk0_21)|~spl0_63)),
% 2.17/0.69 inference(backward_subsumption_resolution,[status(thm)],[f2258,f3606])).
% 2.17/0.69 fof(f3626,plain,(
% 2.17/0.69 $false|~spl0_63),
% 2.17/0.69 inference(forward_subsumption_resolution,[status(thm)],[f3625,f3606])).
% 2.17/0.69 fof(f3627,plain,(
% 2.17/0.69 ~spl0_63),
% 2.17/0.69 inference(contradiction_clause,[status(thm)],[f3626])).
% 2.17/0.69 fof(f3628,plain,(
% 2.17/0.69 $false),
% 2.17/0.69 inference(sat_refutation,[status(thm)],[f1745,f1884,f3627])).
% 2.17/0.69 % SZS output end CNFRefutation for theBenchmark.p
% 2.17/0.70 % Elapsed time: 0.356958 seconds
% 2.17/0.70 % CPU time: 2.666421 seconds
% 2.17/0.70 % Memory used: 74.101 MB
%------------------------------------------------------------------------------