TSTP Solution File: GEO635+1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO635+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.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 12:09:23 EDT 2023
% Result : Theorem 0.17s 0.46s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GEO635+1 : TPTP v8.1.2. Released v7.5.0.
% 0.11/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.32 % Computer : n011.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue May 30 11:57:57 EDT 2023
% 0.12/0.32 % CPUTime :
% 0.12/0.33 % Drodi V3.5.1
% 0.17/0.46 % Refutation found
% 0.17/0.46 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.46 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.46 fof(f1,axiom,(
% 0.17/0.46 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 0.17/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f2,axiom,(
% 0.17/0.46 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 0.17/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f3,axiom,(
% 0.17/0.46 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 0.17/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f4,axiom,(
% 0.17/0.46 (! [A,B,C,D] :( para(A,B,C,D)=> para(A,B,D,C) ) )),
% 0.17/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f5,axiom,(
% 0.17/0.46 (! [A,B,C,D] :( para(A,B,C,D)=> para(C,D,A,B) ) )),
% 0.17/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f11,axiom,(
% 0.17/0.46 (! [A,B,M] :( midp(M,B,A)=> midp(M,A,B) ) )),
% 0.17/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f17,axiom,(
% 0.17/0.46 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 0.17/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f18,axiom,(
% 0.17/0.46 (! [A,B,C,D,P,Q,U,V] :( eqangle(A,B,C,D,P,Q,U,V)=> eqangle(B,A,C,D,P,Q,U,V) ) )),
% 0.17/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f19,axiom,(
% 0.17/0.46 (! [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) ) )),
% 0.17/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f21,axiom,(
% 0.17/0.46 (! [A,B,C,D,P,Q,U,V] :( eqangle(A,B,C,D,P,Q,U,V)=> eqangle(A,B,P,Q,C,D,U,V) ) )),
% 0.17/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f22,axiom,(
% 0.17/0.46 (! [A,B,C,D,P,Q,U,V,E,F,G,H] :( ( eqangle(A,B,C,D,P,Q,U,V)& eqangle(P,Q,U,V,E,F,G,H) )=> eqangle(A,B,C,D,E,F,G,H) ) )),
% 0.17/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f23,axiom,(
% 0.17/0.46 (! [A,B,C,D] :( cong(A,B,C,D)=> cong(A,B,D,C) ) )),
% 0.17/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f24,axiom,(
% 0.17/0.46 (! [A,B,C,D] :( cong(A,B,C,D)=> cong(C,D,A,B) ) )),
% 0.17/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f39,axiom,(
% 0.17/0.46 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 0.17/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f40,axiom,(
% 0.17/0.46 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 0.17/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f41,axiom,(
% 0.17/0.46 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 0.17/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f43,axiom,(
% 0.17/0.46 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 0.17/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f44,axiom,(
% 0.17/0.46 (! [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) ) )),
% 0.17/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f45,axiom,(
% 0.17/0.46 (! [A,B,C,E,F] :( ( midp(E,A,B)& midp(F,A,C) )=> para(E,F,B,C) ) )),
% 0.17/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f46,axiom,(
% 0.17/0.46 (! [A,B,C,E,F] :( ( midp(E,A,B)& para(E,F,B,C)& coll(F,A,C) )=> midp(F,A,C) ) )),
% 0.17/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f47,axiom,(
% 0.17/0.46 (! [A,B,O] :( cong(O,A,O,B)=> eqangle(O,A,A,B,A,B,O,B) ) )),
% 0.17/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f67,axiom,(
% 0.17/0.46 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 0.17/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f68,axiom,(
% 0.17/0.46 (! [A,B,C] :( ( cong(A,B,A,C)& coll(A,B,C) )=> midp(A,B,C) ) )),
% 0.17/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f69,axiom,(
% 0.17/0.46 (! [A,B,C] :( midp(A,B,C)=> cong(A,B,A,C) ) )),
% 0.17/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f95,conjecture,(
% 0.17/0.46 (! [A,B,C,D,E,F,G,NWPNT1,NWPNT2] :( ( circle(D,A,B,C)& coll(E,A,B)& circle(D,A,F,NWPNT1)& eqangle(A,C,C,E,F,C,C,B)& circle(D,C,G,NWPNT2)& coll(G,C,E) )=> para(A,B,G,F) ) )),
% 0.17/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f96,negated_conjecture,(
% 0.17/0.46 ~((! [A,B,C,D,E,F,G,NWPNT1,NWPNT2] :( ( circle(D,A,B,C)& coll(E,A,B)& circle(D,A,F,NWPNT1)& eqangle(A,C,C,E,F,C,C,B)& circle(D,C,G,NWPNT2)& coll(G,C,E) )=> para(A,B,G,F) ) ))),
% 0.17/0.46 inference(negated_conjecture,[status(cth)],[f95])).
% 0.17/0.46 fof(f97,plain,(
% 0.17/0.46 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 0.17/0.46 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.17/0.46 fof(f98,plain,(
% 0.17/0.46 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 0.17/0.46 inference(cnf_transformation,[status(esa)],[f97])).
% 0.17/0.46 fof(f99,plain,(
% 0.17/0.46 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 0.17/0.46 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.17/0.46 fof(f100,plain,(
% 0.17/0.46 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 0.17/0.46 inference(cnf_transformation,[status(esa)],[f99])).
% 0.17/0.46 fof(f101,plain,(
% 0.17/0.46 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 0.17/0.46 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.17/0.46 fof(f102,plain,(
% 0.17/0.46 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 0.17/0.46 inference(miniscoping,[status(esa)],[f101])).
% 0.17/0.46 fof(f103,plain,(
% 0.17/0.46 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 0.17/0.46 inference(cnf_transformation,[status(esa)],[f102])).
% 0.17/0.46 fof(f104,plain,(
% 0.17/0.46 ![A,B,C,D]: (~para(A,B,C,D)|para(A,B,D,C))),
% 0.17/0.46 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.17/0.46 fof(f105,plain,(
% 0.17/0.46 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X0,X1,X3,X2))),
% 0.17/0.46 inference(cnf_transformation,[status(esa)],[f104])).
% 0.17/0.46 fof(f106,plain,(
% 0.17/0.46 ![A,B,C,D]: (~para(A,B,C,D)|para(C,D,A,B))),
% 0.17/0.46 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.17/0.46 fof(f107,plain,(
% 0.17/0.46 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X2,X3,X0,X1))),
% 0.17/0.46 inference(cnf_transformation,[status(esa)],[f106])).
% 0.17/0.46 fof(f121,plain,(
% 0.17/0.46 ![A,B,M]: (~midp(M,B,A)|midp(M,A,B))),
% 0.17/0.46 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 0.17/0.46 fof(f122,plain,(
% 0.17/0.46 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X0,X2,X1))),
% 0.17/0.46 inference(cnf_transformation,[status(esa)],[f121])).
% 0.17/0.46 fof(f134,plain,(
% 0.17/0.46 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 0.17/0.46 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 0.17/0.46 fof(f135,plain,(
% 0.17/0.46 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 0.17/0.46 inference(miniscoping,[status(esa)],[f134])).
% 0.17/0.46 fof(f136,plain,(
% 0.17/0.46 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 0.17/0.46 inference(cnf_transformation,[status(esa)],[f135])).
% 0.17/0.46 fof(f137,plain,(
% 0.17/0.46 ![A,B,C,D,P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|eqangle(B,A,C,D,P,Q,U,V))),
% 0.17/0.46 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 0.17/0.46 fof(f138,plain,(
% 0.17/0.46 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|eqangle(X1,X0,X2,X3,X4,X5,X6,X7))),
% 0.17/0.46 inference(cnf_transformation,[status(esa)],[f137])).
% 0.17/0.46 fof(f139,plain,(
% 0.17/0.46 ![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))),
% 0.17/0.46 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 0.17/0.46 fof(f140,plain,(
% 0.17/0.46 ![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))),
% 0.17/0.46 inference(cnf_transformation,[status(esa)],[f139])).
% 0.17/0.46 fof(f143,plain,(
% 0.17/0.46 ![A,B,C,D,P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|eqangle(A,B,P,Q,C,D,U,V))),
% 0.17/0.46 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 0.17/0.46 fof(f144,plain,(
% 0.17/0.46 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|eqangle(X0,X1,X4,X5,X2,X3,X6,X7))),
% 0.17/0.46 inference(cnf_transformation,[status(esa)],[f143])).
% 0.17/0.46 fof(f145,plain,(
% 0.17/0.46 ![A,B,C,D,P,Q,U,V,E,F,G,H]: ((~eqangle(A,B,C,D,P,Q,U,V)|~eqangle(P,Q,U,V,E,F,G,H))|eqangle(A,B,C,D,E,F,G,H))),
% 0.17/0.46 inference(pre_NNF_transformation,[status(esa)],[f22])).
% 0.17/0.46 fof(f146,plain,(
% 0.17/0.46 ![A,B,C,D,E,F,G,H]: ((![P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|~eqangle(P,Q,U,V,E,F,G,H)))|eqangle(A,B,C,D,E,F,G,H))),
% 0.17/0.46 inference(miniscoping,[status(esa)],[f145])).
% 0.17/0.46 fof(f147,plain,(
% 0.17/0.46 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|~eqangle(X4,X5,X6,X7,X8,X9,X10,X11)|eqangle(X0,X1,X2,X3,X8,X9,X10,X11))),
% 0.17/0.46 inference(cnf_transformation,[status(esa)],[f146])).
% 0.17/0.46 fof(f148,plain,(
% 0.17/0.46 ![A,B,C,D]: (~cong(A,B,C,D)|cong(A,B,D,C))),
% 0.17/0.46 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 0.17/0.46 fof(f149,plain,(
% 0.17/0.46 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X3)|cong(X0,X1,X3,X2))),
% 0.17/0.46 inference(cnf_transformation,[status(esa)],[f148])).
% 0.17/0.46 fof(f150,plain,(
% 0.17/0.46 ![A,B,C,D]: (~cong(A,B,C,D)|cong(C,D,A,B))),
% 0.17/0.46 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 0.17/0.46 fof(f151,plain,(
% 0.17/0.46 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X3)|cong(X2,X3,X0,X1))),
% 0.17/0.46 inference(cnf_transformation,[status(esa)],[f150])).
% 0.17/0.46 fof(f184,plain,(
% 0.17/0.46 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 0.17/0.46 inference(pre_NNF_transformation,[status(esa)],[f39])).
% 0.17/0.46 fof(f185,plain,(
% 0.17/0.46 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 0.17/0.46 inference(miniscoping,[status(esa)],[f184])).
% 0.17/0.46 fof(f186,plain,(
% 0.17/0.46 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 0.17/0.46 inference(cnf_transformation,[status(esa)],[f185])).
% 0.17/0.46 fof(f187,plain,(
% 0.17/0.46 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 0.17/0.46 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 0.17/0.46 fof(f188,plain,(
% 0.17/0.46 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 0.17/0.46 inference(miniscoping,[status(esa)],[f187])).
% 0.17/0.46 fof(f189,plain,(
% 0.17/0.46 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 0.17/0.46 inference(cnf_transformation,[status(esa)],[f188])).
% 0.17/0.46 fof(f190,plain,(
% 0.17/0.46 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 0.17/0.46 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 0.17/0.46 fof(f191,plain,(
% 0.17/0.46 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 0.17/0.46 inference(cnf_transformation,[status(esa)],[f190])).
% 0.17/0.46 fof(f194,plain,(
% 0.17/0.46 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 0.17/0.46 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 0.17/0.46 fof(f195,plain,(
% 0.17/0.46 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 0.17/0.46 inference(cnf_transformation,[status(esa)],[f194])).
% 0.17/0.46 fof(f196,plain,(
% 0.17/0.46 ![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))),
% 0.17/0.46 inference(pre_NNF_transformation,[status(esa)],[f44])).
% 0.17/0.46 fof(f197,plain,(
% 0.17/0.46 ![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))),
% 0.17/0.46 inference(miniscoping,[status(esa)],[f196])).
% 0.17/0.46 fof(f198,plain,(
% 0.17/0.46 ![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))),
% 0.17/0.46 inference(cnf_transformation,[status(esa)],[f197])).
% 0.17/0.46 fof(f199,plain,(
% 0.17/0.46 ![A,B,C,E,F]: ((~midp(E,A,B)|~midp(F,A,C))|para(E,F,B,C))),
% 0.17/0.46 inference(pre_NNF_transformation,[status(esa)],[f45])).
% 0.17/0.46 fof(f200,plain,(
% 0.17/0.46 ![B,C,E,F]: ((![A]: (~midp(E,A,B)|~midp(F,A,C)))|para(E,F,B,C))),
% 0.17/0.46 inference(miniscoping,[status(esa)],[f199])).
% 0.17/0.46 fof(f201,plain,(
% 0.17/0.46 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~midp(X3,X1,X4)|para(X0,X3,X2,X4))),
% 0.17/0.46 inference(cnf_transformation,[status(esa)],[f200])).
% 0.17/0.46 fof(f202,plain,(
% 0.17/0.46 ![A,B,C,E,F]: (((~midp(E,A,B)|~para(E,F,B,C))|~coll(F,A,C))|midp(F,A,C))),
% 0.17/0.46 inference(pre_NNF_transformation,[status(esa)],[f46])).
% 0.17/0.46 fof(f203,plain,(
% 0.17/0.46 ![A,C,F]: (((![B,E]: (~midp(E,A,B)|~para(E,F,B,C)))|~coll(F,A,C))|midp(F,A,C))),
% 0.17/0.46 inference(miniscoping,[status(esa)],[f202])).
% 0.17/0.46 fof(f204,plain,(
% 0.17/0.46 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X0,X3,X2,X4)|~coll(X3,X1,X4)|midp(X3,X1,X4))),
% 0.17/0.46 inference(cnf_transformation,[status(esa)],[f203])).
% 0.17/0.46 fof(f205,plain,(
% 0.17/0.46 ![A,B,O]: (~cong(O,A,O,B)|eqangle(O,A,A,B,A,B,O,B))),
% 0.17/0.46 inference(pre_NNF_transformation,[status(esa)],[f47])).
% 0.17/0.46 fof(f206,plain,(
% 0.17/0.46 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|eqangle(X0,X1,X1,X2,X1,X2,X0,X2))),
% 0.17/0.46 inference(cnf_transformation,[status(esa)],[f205])).
% 0.17/0.46 fof(f255,plain,(
% 0.17/0.46 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 0.17/0.46 inference(pre_NNF_transformation,[status(esa)],[f67])).
% 0.17/0.46 fof(f256,plain,(
% 0.17/0.46 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 0.17/0.46 inference(cnf_transformation,[status(esa)],[f255])).
% 0.17/0.46 fof(f257,plain,(
% 0.17/0.46 ![A,B,C]: ((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))),
% 0.17/0.46 inference(pre_NNF_transformation,[status(esa)],[f68])).
% 0.17/0.46 fof(f258,plain,(
% 0.17/0.46 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|~coll(X0,X1,X2)|midp(X0,X1,X2))),
% 0.17/0.46 inference(cnf_transformation,[status(esa)],[f257])).
% 0.17/0.46 fof(f259,plain,(
% 0.17/0.46 ![A,B,C]: (~midp(A,B,C)|cong(A,B,A,C))),
% 0.17/0.46 inference(pre_NNF_transformation,[status(esa)],[f69])).
% 0.17/0.46 fof(f260,plain,(
% 0.17/0.46 ![X0,X1,X2]: (~midp(X0,X1,X2)|cong(X0,X1,X0,X2))),
% 0.17/0.46 inference(cnf_transformation,[status(esa)],[f259])).
% 0.17/0.46 fof(f369,plain,(
% 0.17/0.46 (?[A,B,C,D,E,F,G,NWPNT1,NWPNT2]: ((((((circle(D,A,B,C)&coll(E,A,B))&circle(D,A,F,NWPNT1))&eqangle(A,C,C,E,F,C,C,B))&circle(D,C,G,NWPNT2))&coll(G,C,E))&~para(A,B,G,F)))),
% 0.17/0.46 inference(pre_NNF_transformation,[status(esa)],[f96])).
% 0.17/0.46 fof(f370,plain,(
% 0.17/0.46 ?[A,B,F,G]: ((?[C,E]: ((?[D]: ((((circle(D,A,B,C)&coll(E,A,B))&(?[NWPNT1]: circle(D,A,F,NWPNT1)))&eqangle(A,C,C,E,F,C,C,B))&(?[NWPNT2]: circle(D,C,G,NWPNT2))))&coll(G,C,E)))&~para(A,B,G,F))),
% 0.17/0.46 inference(miniscoping,[status(esa)],[f369])).
% 0.17/0.46 fof(f371,plain,(
% 0.17/0.46 ((((((circle(sk0_26,sk0_20,sk0_21,sk0_24)&coll(sk0_25,sk0_20,sk0_21))&circle(sk0_26,sk0_20,sk0_22,sk0_27))&eqangle(sk0_20,sk0_24,sk0_24,sk0_25,sk0_22,sk0_24,sk0_24,sk0_21))&circle(sk0_26,sk0_24,sk0_23,sk0_28))&coll(sk0_23,sk0_24,sk0_25))&~para(sk0_20,sk0_21,sk0_23,sk0_22))),
% 0.17/0.46 inference(skolemization,[status(esa)],[f370])).
% 0.17/0.46 fof(f375,plain,(
% 0.17/0.46 eqangle(sk0_20,sk0_24,sk0_24,sk0_25,sk0_22,sk0_24,sk0_24,sk0_21)),
% 0.17/0.46 inference(cnf_transformation,[status(esa)],[f371])).
% 0.17/0.46 fof(f378,plain,(
% 0.17/0.46 ~para(sk0_20,sk0_21,sk0_23,sk0_22)),
% 0.17/0.46 inference(cnf_transformation,[status(esa)],[f371])).
% 0.17/0.46 fof(f616,plain,(
% 0.17/0.46 eqangle(sk0_24,sk0_25,sk0_20,sk0_24,sk0_24,sk0_21,sk0_22,sk0_24)),
% 0.17/0.46 inference(resolution,[status(thm)],[f140,f375])).
% 0.17/0.46 fof(f764,plain,(
% 0.17/0.46 eqangle(sk0_24,sk0_25,sk0_24,sk0_21,sk0_20,sk0_24,sk0_22,sk0_24)),
% 0.17/0.46 inference(resolution,[status(thm)],[f144,f616])).
% 0.17/0.46 fof(f767,plain,(
% 0.17/0.46 eqangle(sk0_20,sk0_24,sk0_22,sk0_24,sk0_24,sk0_25,sk0_24,sk0_21)),
% 0.17/0.46 inference(resolution,[status(thm)],[f144,f375])).
% 0.17/0.46 fof(f776,plain,(
% 0.17/0.46 ![X0,X1,X2]: (cong(X0,X1,X0,X2)|~midp(X0,X2,X1))),
% 0.17/0.46 inference(resolution,[status(thm)],[f151,f260])).
% 0.17/0.46 fof(f785,plain,(
% 0.17/0.46 ![X0,X1,X2]: (~midp(X0,X1,X2)|cong(X0,X2,X1,X0))),
% 0.17/0.46 inference(resolution,[status(thm)],[f776,f149])).
% 0.17/0.46 fof(f798,plain,(
% 0.17/0.46 ![X0,X1,X2]: (~midp(X0,X1,X2)|cong(X1,X0,X0,X2))),
% 0.17/0.46 inference(resolution,[status(thm)],[f785,f151])).
% 0.17/0.46 fof(f912,plain,(
% 0.17/0.46 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X2,X3,sk0_20,sk0_24,sk0_22,sk0_24)|eqangle(X0,X1,X2,X3,sk0_24,sk0_25,sk0_24,sk0_21))),
% 0.17/0.46 inference(resolution,[status(thm)],[f767,f147])).
% 0.17/0.46 fof(f1061,plain,(
% 0.17/0.46 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X2,X3,X4,X5,X4,X5))),
% 0.17/0.46 inference(resolution,[status(thm)],[f189,f144])).
% 0.17/0.46 fof(f1063,plain,(
% 0.17/0.46 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X4,X5,X0,X1,X4,X5,X2,X3))),
% 0.17/0.46 inference(resolution,[status(thm)],[f189,f140])).
% 0.17/0.46 fof(f1064,plain,(
% 0.17/0.46 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X1,X0,X4,X5,X2,X3,X4,X5))),
% 0.17/0.46 inference(resolution,[status(thm)],[f189,f138])).
% 0.17/0.46 fof(f1334,plain,(
% 0.17/0.46 eqangle(sk0_24,sk0_25,sk0_24,sk0_21,sk0_24,sk0_25,sk0_24,sk0_21)),
% 0.17/0.46 inference(resolution,[status(thm)],[f912,f764])).
% 0.17/0.46 fof(f1388,plain,(
% 0.17/0.46 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~midp(X3,X1,X4)|para(X2,X4,X0,X3))),
% 0.17/0.46 inference(resolution,[status(thm)],[f201,f107])).
% 0.17/0.46 fof(f1691,plain,(
% 0.17/0.46 ![X0,X1]: (~cong(X0,X0,X0,X1)|para(X0,X0,X0,X1))),
% 0.17/0.46 inference(resolution,[status(thm)],[f206,f186])).
% 0.17/0.46 fof(f2208,plain,(
% 0.17/0.46 ![X0,X1]: (para(X0,X0,X0,X1)|~midp(X0,X0,X1))),
% 0.17/0.46 inference(resolution,[status(thm)],[f1691,f798])).
% 0.17/0.46 fof(f2218,plain,(
% 0.17/0.46 ![X0,X1]: (~midp(X0,X0,X1)|para(X0,X1,X0,X0))),
% 0.17/0.46 inference(resolution,[status(thm)],[f2208,f107])).
% 0.17/0.46 fof(f2293,plain,(
% 0.17/0.46 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X0,X2,X2,X1,X3,X0,X3,X1))),
% 0.17/0.46 inference(resolution,[status(thm)],[f191,f138])).
% 0.17/0.46 fof(f2947,plain,(
% 0.17/0.46 para(sk0_24,sk0_25,sk0_24,sk0_25)),
% 0.17/0.46 inference(resolution,[status(thm)],[f1334,f186])).
% 0.17/0.46 fof(f2959,plain,(
% 0.17/0.46 para(sk0_24,sk0_25,sk0_25,sk0_24)),
% 0.17/0.46 inference(resolution,[status(thm)],[f2947,f105])).
% 0.17/0.46 fof(f2962,plain,(
% 0.17/0.46 para(sk0_25,sk0_24,sk0_24,sk0_25)),
% 0.17/0.46 inference(resolution,[status(thm)],[f2959,f107])).
% 0.17/0.46 fof(f2967,plain,(
% 0.17/0.46 para(sk0_25,sk0_24,sk0_25,sk0_24)),
% 0.17/0.46 inference(resolution,[status(thm)],[f2962,f105])).
% 0.17/0.46 fof(f3051,plain,(
% 0.17/0.46 spl0_29 <=> ~para(X0,X1,X0,X1)),
% 0.17/0.46 introduced(split_symbol_definition)).
% 0.17/0.46 fof(f3052,plain,(
% 0.17/0.46 ![X0,X1]: (~para(X0,X1,X0,X1)|~spl0_29)),
% 0.17/0.46 inference(component_clause,[status(thm)],[f3051])).
% 0.17/0.46 fof(f3054,plain,(
% 0.17/0.46 spl0_30 <=> para(X2,X3,X2,X3)),
% 0.17/0.46 introduced(split_symbol_definition)).
% 0.17/0.46 fof(f3055,plain,(
% 0.17/0.46 ![X0,X1]: (para(X0,X1,X0,X1)|~spl0_30)),
% 0.17/0.46 inference(component_clause,[status(thm)],[f3054])).
% 0.17/0.46 fof(f3057,plain,(
% 0.17/0.46 ![X0,X1,X2,X3]: (~para(X0,X1,X0,X1)|para(X2,X3,X2,X3))),
% 0.17/0.46 inference(resolution,[status(thm)],[f1063,f186])).
% 0.17/0.46 fof(f3058,plain,(
% 0.17/0.46 spl0_29|spl0_30),
% 0.17/0.46 inference(split_clause,[status(thm)],[f3057,f3051,f3054])).
% 0.17/0.46 fof(f3083,plain,(
% 0.17/0.46 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X1,X0,X2,X3))),
% 0.17/0.46 inference(resolution,[status(thm)],[f1064,f186])).
% 0.17/0.46 fof(f3116,plain,(
% 0.17/0.46 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~midp(X3,X1,X4)|para(X4,X2,X0,X3))),
% 0.17/0.46 inference(resolution,[status(thm)],[f1388,f3083])).
% 0.17/0.46 fof(f3356,plain,(
% 0.17/0.46 $false|~spl0_29),
% 0.17/0.46 inference(backward_subsumption_resolution,[status(thm)],[f2967,f3052])).
% 0.17/0.46 fof(f3357,plain,(
% 0.17/0.46 ~spl0_29),
% 0.17/0.46 inference(contradiction_clause,[status(thm)],[f3356])).
% 0.17/0.46 fof(f3360,plain,(
% 0.17/0.46 ![X0,X1]: (para(X0,X1,X1,X0)|~spl0_30)),
% 0.17/0.46 inference(resolution,[status(thm)],[f3055,f3083])).
% 0.17/0.46 fof(f3363,plain,(
% 0.17/0.46 ![X0,X1]: (coll(X0,X1,X1)|~spl0_30)),
% 0.17/0.46 inference(resolution,[status(thm)],[f3055,f256])).
% 0.17/0.46 fof(f3546,plain,(
% 0.17/0.46 ![X0,X1]: (coll(X0,X1,X0)|~spl0_30)),
% 0.17/0.46 inference(resolution,[status(thm)],[f3363,f100])).
% 0.17/0.46 fof(f3730,plain,(
% 0.17/0.46 ![X0,X1]: (coll(X0,X0,X1)|~spl0_30)),
% 0.17/0.46 inference(resolution,[status(thm)],[f3546,f98])).
% 0.17/0.46 fof(f3761,plain,(
% 0.17/0.46 ![X0,X1,X2]: (~coll(X0,X0,X1)|coll(X1,X2,X0)|~spl0_30)),
% 0.17/0.46 inference(resolution,[status(thm)],[f3730,f103])).
% 0.17/0.46 fof(f3762,plain,(
% 0.17/0.46 ![X0,X1,X2]: (coll(X0,X1,X2)|~spl0_30)),
% 0.17/0.46 inference(forward_subsumption_resolution,[status(thm)],[f3761,f3730])).
% 0.17/0.46 fof(f3766,plain,(
% 0.17/0.46 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|cyclic(X1,X2,X0,X3)|~spl0_30)),
% 0.17/0.46 inference(backward_subsumption_resolution,[status(thm)],[f195,f3762])).
% 0.17/0.46 fof(f3768,plain,(
% 0.17/0.46 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X0,X3,X2,X4)|midp(X3,X1,X4)|~spl0_30)),
% 0.17/0.46 inference(backward_subsumption_resolution,[status(thm)],[f204,f3762])).
% 0.17/0.46 fof(f3788,plain,(
% 0.17/0.46 ![X0,X1,X2]: (cyclic(X0,X0,X1,X2)|~para(X1,X0,X1,X0)|~spl0_30)),
% 0.17/0.46 inference(resolution,[status(thm)],[f3766,f1061])).
% 0.17/0.46 fof(f3789,plain,(
% 0.17/0.46 ![X0,X1,X2]: (cyclic(X0,X0,X1,X2)|~spl0_30)),
% 0.17/0.46 inference(forward_subsumption_resolution,[status(thm)],[f3788,f3055])).
% 0.17/0.46 fof(f3806,plain,(
% 0.17/0.46 ![X0,X1,X2,X3]: (~cyclic(X0,X0,X1,X2)|cyclic(X0,X1,X2,X3)|~spl0_30)),
% 0.17/0.46 inference(resolution,[status(thm)],[f3789,f136])).
% 0.17/0.46 fof(f3807,plain,(
% 0.17/0.46 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3)|~spl0_30)),
% 0.17/0.46 inference(forward_subsumption_resolution,[status(thm)],[f3806,f3789])).
% 0.17/0.46 fof(f3819,plain,(
% 0.17/0.46 ![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_30)),
% 0.17/0.46 inference(backward_subsumption_resolution,[status(thm)],[f198,f3807])).
% 0.17/0.46 fof(f3820,plain,(
% 0.17/0.46 ![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_30)),
% 0.17/0.46 inference(forward_subsumption_resolution,[status(thm)],[f3819,f3807])).
% 0.17/0.46 fof(f3841,plain,(
% 0.17/0.46 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X2,X1,X0)|~spl0_30)),
% 0.17/0.46 inference(resolution,[status(thm)],[f3768,f3360])).
% 0.17/0.46 fof(f4162,plain,(
% 0.17/0.46 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|midp(X0,X1,X2)|~spl0_30)),
% 0.17/0.46 inference(forward_subsumption_resolution,[status(thm)],[f258,f3762])).
% 0.17/0.46 fof(f4197,plain,(
% 0.17/0.46 ![X0,X1,X2,X3]: (eqangle(X0,X1,X1,X2,X3,X0,X3,X2)|~spl0_30)),
% 0.17/0.46 inference(forward_subsumption_resolution,[status(thm)],[f2293,f3807])).
% 0.17/0.46 fof(f4348,plain,(
% 0.17/0.46 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X0,X2,X3,X4,X3,X5)|cong(X1,X2,X4,X5)|~spl0_30)),
% 0.17/0.46 inference(forward_subsumption_resolution,[status(thm)],[f3820,f3807])).
% 0.17/0.46 fof(f4355,plain,(
% 0.17/0.46 ![X0,X1]: (cong(X0,X1,X0,X1)|~spl0_30)),
% 0.17/0.46 inference(resolution,[status(thm)],[f4348,f4197])).
% 0.17/0.46 fof(f4370,plain,(
% 0.17/0.46 ![X0,X1]: (midp(X0,X1,X1)|~spl0_30)),
% 0.17/0.46 inference(resolution,[status(thm)],[f4355,f4162])).
% 0.17/0.46 fof(f4904,plain,(
% 0.17/0.46 ![X0]: (~midp(sk0_23,X0,sk0_21)|~midp(sk0_22,X0,sk0_20))),
% 0.17/0.46 inference(resolution,[status(thm)],[f3116,f378])).
% 0.17/0.46 fof(f5822,plain,(
% 0.17/0.46 ![X0,X1]: (midp(X0,X0,X1)|~spl0_30)),
% 0.17/0.46 inference(resolution,[status(thm)],[f3841,f4370])).
% 0.17/0.46 fof(f5825,plain,(
% 0.17/0.46 ![X0,X1]: (para(X0,X1,X0,X0)|~spl0_30)),
% 0.17/0.46 inference(backward_subsumption_resolution,[status(thm)],[f2218,f5822])).
% 0.17/0.46 fof(f5842,plain,(
% 0.17/0.46 ![X0,X1]: (midp(X0,X1,X0)|~spl0_30)),
% 0.17/0.46 inference(resolution,[status(thm)],[f5822,f122])).
% 0.17/0.46 fof(f5874,plain,(
% 0.17/0.46 ![X0,X1,X2]: (~midp(X0,X1,X0)|midp(X2,X1,X0)|~spl0_30)),
% 0.17/0.46 inference(resolution,[status(thm)],[f5825,f3768])).
% 0.17/0.46 fof(f5875,plain,(
% 0.17/0.46 ![X0,X1,X2]: (midp(X0,X1,X2)|~spl0_30)),
% 0.17/0.46 inference(forward_subsumption_resolution,[status(thm)],[f5874,f5842])).
% 0.17/0.46 fof(f5882,plain,(
% 0.17/0.46 ![X0]: (~midp(sk0_22,X0,sk0_20)|~spl0_30)),
% 0.17/0.46 inference(backward_subsumption_resolution,[status(thm)],[f4904,f5875])).
% 0.17/0.46 fof(f5883,plain,(
% 0.17/0.46 $false|~spl0_30),
% 0.17/0.46 inference(forward_subsumption_resolution,[status(thm)],[f5882,f5875])).
% 0.17/0.46 fof(f5884,plain,(
% 0.17/0.46 ~spl0_30),
% 0.17/0.46 inference(contradiction_clause,[status(thm)],[f5883])).
% 0.17/0.46 fof(f5885,plain,(
% 0.17/0.46 $false),
% 0.17/0.46 inference(sat_refutation,[status(thm)],[f3058,f3357,f5884])).
% 0.17/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.47 % Elapsed time: 0.144130 seconds
% 0.17/0.47 % CPU time: 0.957769 seconds
% 0.17/0.47 % Memory used: 58.485 MB
%------------------------------------------------------------------------------