TSTP Solution File: GEO561+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO561+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n004.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 12:09:10 EDT 2023
% Result : Theorem 6.59s 1.21s
% Output : CNFRefutation 6.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GEO561+1 : TPTP v8.1.2. Released v7.5.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue May 30 11:54:37 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.5.1
% 6.59/1.21 % Refutation found
% 6.59/1.21 % SZS status Theorem for theBenchmark: Theorem is valid
% 6.59/1.21 % SZS output start CNFRefutation for theBenchmark
% 6.59/1.21 fof(f1,axiom,(
% 6.59/1.21 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 6.59/1.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.59/1.21 fof(f2,axiom,(
% 6.59/1.21 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 6.59/1.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.59/1.21 fof(f3,axiom,(
% 6.59/1.21 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 6.59/1.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.59/1.21 fof(f8,axiom,(
% 6.59/1.21 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 6.59/1.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.59/1.21 fof(f9,axiom,(
% 6.59/1.21 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 6.59/1.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.59/1.21 fof(f17,axiom,(
% 6.59/1.21 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 6.59/1.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.59/1.21 fof(f19,axiom,(
% 6.59/1.21 (! [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) ) )),
% 6.59/1.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.59/1.21 fof(f20,axiom,(
% 6.59/1.21 (! [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) ) )),
% 6.59/1.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.59/1.21 fof(f21,axiom,(
% 6.59/1.21 (! [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) ) )),
% 6.59/1.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.59/1.21 fof(f22,axiom,(
% 6.59/1.21 (! [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) ) )),
% 6.59/1.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.59/1.21 fof(f39,axiom,(
% 6.59/1.21 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 6.59/1.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.59/1.21 fof(f40,axiom,(
% 6.59/1.21 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 6.59/1.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.59/1.21 fof(f41,axiom,(
% 6.59/1.21 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 6.59/1.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.59/1.21 fof(f43,axiom,(
% 6.59/1.21 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 6.59/1.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.59/1.21 fof(f44,axiom,(
% 6.59/1.21 (! [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) ) )),
% 6.59/1.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.59/1.21 fof(f49,axiom,(
% 6.59/1.21 (! [A,B,C,O,X] :( ( circle(O,A,B,C)& perp(O,A,A,X) )=> eqangle(A,X,A,B,C,A,C,B) ) )),
% 6.59/1.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.59/1.21 fof(f57,axiom,(
% 6.59/1.21 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 6.59/1.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.59/1.21 fof(f58,axiom,(
% 6.59/1.21 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q)& cyclic(A,B,P,Q) )=> perp(P,A,A,Q) ) )),
% 6.59/1.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.59/1.21 fof(f67,axiom,(
% 6.59/1.21 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 6.59/1.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.59/1.21 fof(f90,axiom,(
% 6.59/1.21 (! [A,B,C,D] :(? [O] :( ( perp(A,C,C,B)& cyclic(A,B,C,D) )=> circle(O,A,B,C) ) ))),
% 6.59/1.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.59/1.21 fof(f95,conjecture,(
% 6.59/1.21 (! [A,B,C,O,P,Q,N,M,E,D,NWPNT1,NWPNT2] :( ( circle(O,A,B,C)& perp(P,O,A,C)& coll(P,A,C)& perp(Q,O,A,B)& coll(Q,A,B)& coll(N,O,P)& circle(O,A,N,NWPNT1)& coll(M,O,Q)& circle(O,A,M,NWPNT2)& coll(E,A,C)& coll(E,N,M)& coll(D,A,B)& coll(D,N,M) )=> eqangle(A,D,D,E,D,E,E,A) ) )),
% 6.59/1.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.59/1.21 fof(f96,negated_conjecture,(
% 6.59/1.21 ~((! [A,B,C,O,P,Q,N,M,E,D,NWPNT1,NWPNT2] :( ( circle(O,A,B,C)& perp(P,O,A,C)& coll(P,A,C)& perp(Q,O,A,B)& coll(Q,A,B)& coll(N,O,P)& circle(O,A,N,NWPNT1)& coll(M,O,Q)& circle(O,A,M,NWPNT2)& coll(E,A,C)& coll(E,N,M)& coll(D,A,B)& coll(D,N,M) )=> eqangle(A,D,D,E,D,E,E,A) ) ))),
% 6.59/1.21 inference(negated_conjecture,[status(cth)],[f95])).
% 6.59/1.21 fof(f97,plain,(
% 6.59/1.21 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 6.59/1.21 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 6.59/1.21 fof(f98,plain,(
% 6.59/1.22 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 6.59/1.22 inference(cnf_transformation,[status(esa)],[f97])).
% 6.59/1.22 fof(f99,plain,(
% 6.59/1.22 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 6.59/1.22 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 6.59/1.22 fof(f100,plain,(
% 6.59/1.22 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 6.59/1.22 inference(cnf_transformation,[status(esa)],[f99])).
% 6.59/1.22 fof(f101,plain,(
% 6.59/1.22 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 6.59/1.22 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 6.59/1.22 fof(f102,plain,(
% 6.59/1.22 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 6.59/1.22 inference(miniscoping,[status(esa)],[f101])).
% 6.59/1.22 fof(f103,plain,(
% 6.59/1.22 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 6.59/1.22 inference(cnf_transformation,[status(esa)],[f102])).
% 6.59/1.22 fof(f113,plain,(
% 6.59/1.22 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 6.59/1.22 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 6.59/1.22 fof(f114,plain,(
% 6.59/1.22 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 6.59/1.22 inference(cnf_transformation,[status(esa)],[f113])).
% 6.59/1.22 fof(f115,plain,(
% 6.59/1.22 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 6.59/1.22 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 6.59/1.22 fof(f116,plain,(
% 6.59/1.22 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 6.59/1.22 inference(miniscoping,[status(esa)],[f115])).
% 6.59/1.22 fof(f117,plain,(
% 6.59/1.22 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 6.59/1.22 inference(cnf_transformation,[status(esa)],[f116])).
% 6.59/1.22 fof(f134,plain,(
% 6.59/1.22 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 6.59/1.22 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 6.59/1.22 fof(f135,plain,(
% 6.59/1.22 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 6.59/1.22 inference(miniscoping,[status(esa)],[f134])).
% 6.59/1.22 fof(f136,plain,(
% 6.59/1.22 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 6.59/1.22 inference(cnf_transformation,[status(esa)],[f135])).
% 6.59/1.22 fof(f139,plain,(
% 6.59/1.22 ![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))),
% 6.59/1.22 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 6.59/1.22 fof(f140,plain,(
% 6.59/1.22 ![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))),
% 6.59/1.22 inference(cnf_transformation,[status(esa)],[f139])).
% 6.59/1.22 fof(f141,plain,(
% 6.59/1.22 ![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))),
% 6.59/1.22 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 6.59/1.22 fof(f142,plain,(
% 6.59/1.22 ![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))),
% 6.59/1.22 inference(cnf_transformation,[status(esa)],[f141])).
% 6.59/1.22 fof(f143,plain,(
% 6.59/1.22 ![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))),
% 6.59/1.22 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 6.59/1.22 fof(f144,plain,(
% 6.59/1.22 ![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))),
% 6.59/1.22 inference(cnf_transformation,[status(esa)],[f143])).
% 6.59/1.22 fof(f145,plain,(
% 6.59/1.22 ![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))),
% 6.59/1.22 inference(pre_NNF_transformation,[status(esa)],[f22])).
% 6.59/1.22 fof(f146,plain,(
% 6.59/1.22 ![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))),
% 6.59/1.22 inference(miniscoping,[status(esa)],[f145])).
% 6.59/1.22 fof(f147,plain,(
% 6.59/1.22 ![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))),
% 6.59/1.22 inference(cnf_transformation,[status(esa)],[f146])).
% 6.59/1.22 fof(f184,plain,(
% 6.59/1.22 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 6.59/1.22 inference(pre_NNF_transformation,[status(esa)],[f39])).
% 6.59/1.22 fof(f185,plain,(
% 6.59/1.22 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 6.59/1.22 inference(miniscoping,[status(esa)],[f184])).
% 6.59/1.22 fof(f186,plain,(
% 6.59/1.22 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 6.59/1.22 inference(cnf_transformation,[status(esa)],[f185])).
% 6.59/1.22 fof(f187,plain,(
% 6.59/1.22 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 6.59/1.22 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 6.59/1.22 fof(f188,plain,(
% 6.59/1.22 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 6.59/1.22 inference(miniscoping,[status(esa)],[f187])).
% 6.59/1.22 fof(f189,plain,(
% 6.59/1.22 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 6.59/1.22 inference(cnf_transformation,[status(esa)],[f188])).
% 6.59/1.22 fof(f190,plain,(
% 6.59/1.22 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 6.59/1.22 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 6.59/1.22 fof(f191,plain,(
% 6.59/1.22 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 6.59/1.22 inference(cnf_transformation,[status(esa)],[f190])).
% 6.59/1.22 fof(f194,plain,(
% 6.59/1.22 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 6.59/1.22 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 6.59/1.22 fof(f195,plain,(
% 6.59/1.22 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 6.59/1.22 inference(cnf_transformation,[status(esa)],[f194])).
% 6.59/1.22 fof(f196,plain,(
% 6.59/1.22 ![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))),
% 6.59/1.22 inference(pre_NNF_transformation,[status(esa)],[f44])).
% 6.59/1.22 fof(f197,plain,(
% 6.59/1.22 ![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))),
% 6.59/1.22 inference(miniscoping,[status(esa)],[f196])).
% 6.59/1.22 fof(f198,plain,(
% 6.59/1.22 ![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))),
% 6.59/1.22 inference(cnf_transformation,[status(esa)],[f197])).
% 6.59/1.22 fof(f209,plain,(
% 6.59/1.22 ![A,B,C,O,X]: ((~circle(O,A,B,C)|~perp(O,A,A,X))|eqangle(A,X,A,B,C,A,C,B))),
% 6.59/1.22 inference(pre_NNF_transformation,[status(esa)],[f49])).
% 6.59/1.22 fof(f210,plain,(
% 6.59/1.22 ![A,B,C,X]: ((![O]: (~circle(O,A,B,C)|~perp(O,A,A,X)))|eqangle(A,X,A,B,C,A,C,B))),
% 6.59/1.22 inference(miniscoping,[status(esa)],[f209])).
% 6.59/1.22 fof(f211,plain,(
% 6.59/1.22 ![X0,X1,X2,X3,X4]: (~circle(X0,X1,X2,X3)|~perp(X0,X1,X1,X4)|eqangle(X1,X4,X1,X2,X3,X1,X3,X2))),
% 6.59/1.22 inference(cnf_transformation,[status(esa)],[f210])).
% 6.59/1.22 fof(f231,plain,(
% 6.59/1.22 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 6.59/1.22 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 6.59/1.22 fof(f232,plain,(
% 6.59/1.22 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 6.59/1.22 inference(cnf_transformation,[status(esa)],[f231])).
% 6.59/1.22 fof(f233,plain,(
% 6.59/1.22 ![A,B,P,Q]: (((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q))|perp(P,A,A,Q))),
% 6.59/1.22 inference(pre_NNF_transformation,[status(esa)],[f58])).
% 6.59/1.22 fof(f234,plain,(
% 6.59/1.22 ![A,P,Q]: ((![B]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q)))|perp(P,A,A,Q))),
% 6.59/1.22 inference(miniscoping,[status(esa)],[f233])).
% 6.59/1.22 fof(f235,plain,(
% 6.59/1.22 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|~cyclic(X0,X2,X1,X3)|perp(X1,X0,X0,X3))),
% 6.59/1.22 inference(cnf_transformation,[status(esa)],[f234])).
% 6.59/1.22 fof(f255,plain,(
% 6.59/1.22 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 6.59/1.22 inference(pre_NNF_transformation,[status(esa)],[f67])).
% 6.59/1.22 fof(f256,plain,(
% 6.59/1.22 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 6.59/1.22 inference(cnf_transformation,[status(esa)],[f255])).
% 6.59/1.22 fof(f346,plain,(
% 6.59/1.22 ![A,B,C,D]: (?[O]: ((~perp(A,C,C,B)|~cyclic(A,B,C,D))|circle(O,A,B,C)))),
% 6.59/1.22 inference(pre_NNF_transformation,[status(esa)],[f90])).
% 6.59/1.22 fof(f347,plain,(
% 6.59/1.22 ![A,B,C]: ((~perp(A,C,C,B)|(![D]: ~cyclic(A,B,C,D)))|(?[O]: circle(O,A,B,C)))),
% 6.59/1.22 inference(miniscoping,[status(esa)],[f346])).
% 6.59/1.22 fof(f348,plain,(
% 6.59/1.22 ![A,B,C]: ((~perp(A,C,C,B)|(![D]: ~cyclic(A,B,C,D)))|circle(sk0_15(C,B,A),A,B,C))),
% 6.59/1.22 inference(skolemization,[status(esa)],[f347])).
% 6.59/1.22 fof(f349,plain,(
% 6.59/1.22 ![X0,X1,X2,X3]: (~perp(X0,X1,X1,X2)|~cyclic(X0,X2,X1,X3)|circle(sk0_15(X1,X2,X0),X0,X2,X1))),
% 6.59/1.22 inference(cnf_transformation,[status(esa)],[f348])).
% 6.59/1.22 fof(f369,plain,(
% 6.59/1.22 (?[A,B,C,O,P,Q,N,M,E,D,NWPNT1,NWPNT2]: (((((((((((((circle(O,A,B,C)&perp(P,O,A,C))&coll(P,A,C))&perp(Q,O,A,B))&coll(Q,A,B))&coll(N,O,P))&circle(O,A,N,NWPNT1))&coll(M,O,Q))&circle(O,A,M,NWPNT2))&coll(E,A,C))&coll(E,N,M))&coll(D,A,B))&coll(D,N,M))&~eqangle(A,D,D,E,D,E,E,A)))),
% 6.59/1.22 inference(pre_NNF_transformation,[status(esa)],[f96])).
% 6.59/1.22 fof(f370,plain,(
% 6.59/1.22 ?[A,E,D]: ((?[N,M]: ((?[B]: (((?[C]: ((?[O]: ((?[Q]: (((?[P]: (((((circle(O,A,B,C)&perp(P,O,A,C))&coll(P,A,C))&perp(Q,O,A,B))&coll(Q,A,B))&coll(N,O,P)))&(?[NWPNT1]: circle(O,A,N,NWPNT1)))&coll(M,O,Q)))&(?[NWPNT2]: circle(O,A,M,NWPNT2))))&coll(E,A,C)))&coll(E,N,M))&coll(D,A,B)))&coll(D,N,M)))&~eqangle(A,D,D,E,D,E,E,A))),
% 6.59/1.22 inference(miniscoping,[status(esa)],[f369])).
% 6.59/1.22 fof(f371,plain,(
% 6.59/1.22 (((((((((((((circle(sk0_27,sk0_20,sk0_25,sk0_26)&perp(sk0_29,sk0_27,sk0_20,sk0_26))&coll(sk0_29,sk0_20,sk0_26))&perp(sk0_28,sk0_27,sk0_20,sk0_25))&coll(sk0_28,sk0_20,sk0_25))&coll(sk0_23,sk0_27,sk0_29))&circle(sk0_27,sk0_20,sk0_23,sk0_30))&coll(sk0_24,sk0_27,sk0_28))&circle(sk0_27,sk0_20,sk0_24,sk0_31))&coll(sk0_21,sk0_20,sk0_26))&coll(sk0_21,sk0_23,sk0_24))&coll(sk0_22,sk0_20,sk0_25))&coll(sk0_22,sk0_23,sk0_24))&~eqangle(sk0_20,sk0_22,sk0_22,sk0_21,sk0_22,sk0_21,sk0_21,sk0_20))),
% 6.59/1.22 inference(skolemization,[status(esa)],[f370])).
% 6.59/1.22 fof(f375,plain,(
% 6.59/1.22 perp(sk0_28,sk0_27,sk0_20,sk0_25)),
% 6.59/1.22 inference(cnf_transformation,[status(esa)],[f371])).
% 6.59/1.22 fof(f385,plain,(
% 6.59/1.22 ~eqangle(sk0_20,sk0_22,sk0_22,sk0_21,sk0_22,sk0_21,sk0_21,sk0_20)),
% 6.59/1.22 inference(cnf_transformation,[status(esa)],[f371])).
% 6.59/1.22 fof(f577,plain,(
% 6.59/1.22 perp(sk0_20,sk0_25,sk0_28,sk0_27)),
% 6.59/1.22 inference(resolution,[status(thm)],[f114,f375])).
% 6.59/1.22 fof(f613,plain,(
% 6.59/1.22 ![X0,X1]: (~perp(X0,X1,sk0_20,sk0_25)|para(X0,X1,sk0_28,sk0_27))),
% 6.59/1.22 inference(resolution,[status(thm)],[f117,f577])).
% 6.59/1.22 fof(f1035,plain,(
% 6.59/1.22 para(sk0_28,sk0_27,sk0_28,sk0_27)),
% 6.59/1.22 inference(resolution,[status(thm)],[f613,f375])).
% 6.59/1.22 fof(f2107,plain,(
% 6.59/1.22 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X2,X3,X4,X5,X4,X5))),
% 6.59/1.22 inference(resolution,[status(thm)],[f189,f144])).
% 6.59/1.22 fof(f2109,plain,(
% 6.59/1.22 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X4,X5,X0,X1,X4,X5,X2,X3))),
% 6.59/1.22 inference(resolution,[status(thm)],[f189,f140])).
% 6.59/1.22 fof(f6864,plain,(
% 6.59/1.22 spl0_215 <=> ~para(X4,X5,X4,X5)),
% 6.59/1.22 introduced(split_symbol_definition)).
% 6.59/1.22 fof(f6865,plain,(
% 6.59/1.22 ![X0,X1]: (~para(X0,X1,X0,X1)|~spl0_215)),
% 6.59/1.22 inference(component_clause,[status(thm)],[f6864])).
% 6.59/1.22 fof(f6891,plain,(
% 6.59/1.22 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X4,X5,X4,X5,X0,X1,X2,X3))),
% 6.59/1.22 inference(resolution,[status(thm)],[f2107,f142])).
% 6.59/1.22 fof(f7687,plain,(
% 6.59/1.22 spl0_263 <=> para(X2,X3,X2,X3)),
% 6.59/1.22 introduced(split_symbol_definition)).
% 6.59/1.22 fof(f7688,plain,(
% 6.59/1.22 ![X0,X1]: (para(X0,X1,X0,X1)|~spl0_263)),
% 6.59/1.22 inference(component_clause,[status(thm)],[f7687])).
% 6.59/1.22 fof(f7690,plain,(
% 6.59/1.22 ![X0,X1,X2,X3]: (~para(X0,X1,X0,X1)|para(X2,X3,X2,X3))),
% 6.59/1.22 inference(resolution,[status(thm)],[f2109,f186])).
% 6.59/1.22 fof(f7691,plain,(
% 6.59/1.22 spl0_215|spl0_263),
% 6.59/1.22 inference(split_clause,[status(thm)],[f7690,f6864,f7687])).
% 6.59/1.22 fof(f7888,plain,(
% 6.59/1.22 $false|~spl0_215),
% 6.59/1.22 inference(backward_subsumption_resolution,[status(thm)],[f1035,f6865])).
% 6.59/1.22 fof(f7889,plain,(
% 6.59/1.22 ~spl0_215),
% 6.59/1.22 inference(contradiction_clause,[status(thm)],[f7888])).
% 6.59/1.22 fof(f7910,plain,(
% 6.59/1.22 ![X0,X1]: (coll(X0,X1,X1)|~spl0_263)),
% 6.59/1.22 inference(resolution,[status(thm)],[f7688,f256])).
% 6.59/1.22 fof(f8048,plain,(
% 6.59/1.22 ![X0,X1]: (coll(X0,X1,X0)|~spl0_263)),
% 6.59/1.22 inference(resolution,[status(thm)],[f7910,f100])).
% 6.59/1.22 fof(f8187,plain,(
% 6.59/1.22 ![X0,X1]: (coll(X0,X0,X1)|~spl0_263)),
% 6.59/1.22 inference(resolution,[status(thm)],[f8048,f98])).
% 6.59/1.22 fof(f8220,plain,(
% 6.59/1.22 ![X0,X1,X2]: (~coll(X0,X0,X1)|coll(X1,X2,X0)|~spl0_263)),
% 6.59/1.22 inference(resolution,[status(thm)],[f8187,f103])).
% 6.59/1.22 fof(f8221,plain,(
% 6.59/1.22 ![X0,X1,X2]: (coll(X0,X1,X2)|~spl0_263)),
% 6.59/1.22 inference(forward_subsumption_resolution,[status(thm)],[f8220,f8187])).
% 6.59/1.22 fof(f8230,plain,(
% 6.59/1.22 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|cyclic(X1,X2,X0,X3)|~spl0_263)),
% 6.59/1.22 inference(backward_subsumption_resolution,[status(thm)],[f195,f8221])).
% 6.59/1.22 fof(f8336,plain,(
% 6.59/1.22 ![X0,X1,X2]: (cyclic(X0,X0,X1,X2)|~para(X1,X0,X1,X0)|~spl0_263)),
% 6.59/1.22 inference(resolution,[status(thm)],[f8230,f2107])).
% 6.59/1.22 fof(f8337,plain,(
% 6.59/1.22 ![X0,X1,X2]: (cyclic(X0,X0,X1,X2)|~spl0_263)),
% 6.59/1.22 inference(forward_subsumption_resolution,[status(thm)],[f8336,f7688])).
% 6.59/1.22 fof(f8385,plain,(
% 6.59/1.22 ![X0,X1,X2,X3]: (~cyclic(X0,X0,X1,X2)|cyclic(X0,X1,X2,X3)|~spl0_263)),
% 6.59/1.22 inference(resolution,[status(thm)],[f8337,f136])).
% 6.59/1.22 fof(f8386,plain,(
% 6.59/1.22 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3)|~spl0_263)),
% 6.59/1.22 inference(forward_subsumption_resolution,[status(thm)],[f8385,f8337])).
% 6.59/1.22 fof(f8397,plain,(
% 6.59/1.22 ![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_263)),
% 6.59/1.23 inference(backward_subsumption_resolution,[status(thm)],[f198,f8386])).
% 6.59/1.23 fof(f8398,plain,(
% 6.59/1.23 ![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_263)),
% 6.59/1.23 inference(forward_subsumption_resolution,[status(thm)],[f8397,f8386])).
% 6.59/1.23 fof(f8399,plain,(
% 6.59/1.23 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~spl0_263)),
% 6.59/1.23 inference(backward_subsumption_resolution,[status(thm)],[f191,f8386])).
% 6.59/1.23 fof(f8401,plain,(
% 6.59/1.23 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X1,X0,X0,X3)|~spl0_263)),
% 6.59/1.23 inference(backward_subsumption_resolution,[status(thm)],[f235,f8386])).
% 6.59/1.23 fof(f8429,plain,(
% 6.59/1.23 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X0,X2,X3,X4,X3,X5)|cong(X1,X2,X4,X5)|~spl0_263)),
% 6.59/1.23 inference(forward_subsumption_resolution,[status(thm)],[f8398,f8386])).
% 6.59/1.23 fof(f8445,plain,(
% 6.59/1.23 ![X0,X1,X2,X3,X4]: (cong(X0,X1,X2,X1)|~circle(X3,X2,X1,X4)|~perp(X3,X2,X2,X0)|~spl0_263)),
% 6.59/1.23 inference(resolution,[status(thm)],[f8429,f211])).
% 6.59/1.23 fof(f8446,plain,(
% 6.59/1.23 ![X0,X1]: (cong(X0,X1,X0,X1)|~spl0_263)),
% 6.59/1.23 inference(resolution,[status(thm)],[f8399,f8429])).
% 6.59/1.23 fof(f8688,plain,(
% 6.59/1.23 ![X0,X1,X2]: (~perp(X0,X1,X1,X2)|circle(sk0_15(X1,X2,X0),X0,X2,X1)|~spl0_263)),
% 6.59/1.23 inference(forward_subsumption_resolution,[status(thm)],[f349,f8386])).
% 6.59/1.23 fof(f8787,plain,(
% 6.59/1.23 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X1,X0,X0,X2)|~spl0_263)),
% 6.59/1.23 inference(resolution,[status(thm)],[f8401,f8446])).
% 6.59/1.23 fof(f8788,plain,(
% 6.59/1.23 ![X0,X1,X2]: (perp(X0,X1,X1,X2)|~spl0_263)),
% 6.59/1.23 inference(forward_subsumption_resolution,[status(thm)],[f8787,f8446])).
% 6.59/1.23 fof(f8821,plain,(
% 6.59/1.23 ![X0,X1,X2]: (circle(sk0_15(X0,X1,X2),X2,X1,X0)|~spl0_263)),
% 6.59/1.23 inference(backward_subsumption_resolution,[status(thm)],[f8688,f8788])).
% 6.59/1.23 fof(f10789,plain,(
% 6.59/1.23 ![X0,X1,X2,X3,X4]: (cong(X0,X1,X2,X1)|~circle(X3,X2,X1,X4)|~spl0_263)),
% 6.59/1.23 inference(forward_subsumption_resolution,[status(thm)],[f8445,f8788])).
% 6.59/1.23 fof(f10791,plain,(
% 6.59/1.23 ![X0,X1,X2]: (cong(X0,X1,X2,X1)|~spl0_263)),
% 6.59/1.23 inference(resolution,[status(thm)],[f10789,f8821])).
% 6.59/1.23 fof(f10960,plain,(
% 6.59/1.23 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|perp(X0,X2,X3,X1)|~spl0_263)),
% 6.59/1.23 inference(backward_subsumption_resolution,[status(thm)],[f232,f10791])).
% 6.59/1.23 fof(f10961,plain,(
% 6.59/1.23 ![X0,X1,X2,X3]: (perp(X0,X1,X2,X3)|~spl0_263)),
% 6.59/1.23 inference(forward_subsumption_resolution,[status(thm)],[f10960,f10791])).
% 6.59/1.23 fof(f10987,plain,(
% 6.59/1.23 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|para(X4,X5,X2,X3)|~spl0_263)),
% 6.59/1.23 inference(backward_subsumption_resolution,[status(thm)],[f117,f10961])).
% 6.59/1.23 fof(f10988,plain,(
% 6.59/1.23 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3)|~spl0_263)),
% 6.59/1.23 inference(forward_subsumption_resolution,[status(thm)],[f10987,f10961])).
% 6.59/1.23 fof(f11071,plain,(
% 6.59/1.23 ![X0,X1,X2,X3,X4,X5]: (eqangle(X0,X1,X2,X3,X4,X5,X4,X5)|~spl0_263)),
% 6.59/1.23 inference(backward_subsumption_resolution,[status(thm)],[f2107,f10988])).
% 6.59/1.23 fof(f11838,plain,(
% 6.59/1.23 ![X0,X1,X2,X3,X4,X5]: (eqangle(X0,X1,X0,X1,X2,X3,X4,X5)|~spl0_263)),
% 6.59/1.23 inference(forward_subsumption_resolution,[status(thm)],[f6891,f10988])).
% 6.59/1.23 fof(f11843,plain,(
% 6.59/1.23 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (~eqangle(X0,X1,X2,X3,X4,X5,X4,X5)|eqangle(X0,X1,X2,X3,X6,X7,X8,X9)|~spl0_263)),
% 6.59/1.23 inference(resolution,[status(thm)],[f11838,f147])).
% 6.59/1.23 fof(f11844,plain,(
% 6.59/1.23 ![X0,X1,X2,X3,X4,X5,X6,X7]: (eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|~spl0_263)),
% 6.59/1.23 inference(forward_subsumption_resolution,[status(thm)],[f11843,f11071])).
% 6.59/1.23 fof(f12292,plain,(
% 6.59/1.23 $false|~spl0_263),
% 6.59/1.23 inference(backward_subsumption_resolution,[status(thm)],[f385,f11844])).
% 6.59/1.23 fof(f12293,plain,(
% 6.59/1.23 ~spl0_263),
% 6.59/1.23 inference(contradiction_clause,[status(thm)],[f12292])).
% 6.59/1.23 fof(f12294,plain,(
% 6.59/1.23 $false),
% 6.59/1.23 inference(sat_refutation,[status(thm)],[f7691,f7889,f12293])).
% 6.59/1.23 % SZS output end CNFRefutation for theBenchmark.p
% 6.79/1.25 % Elapsed time: 0.885528 seconds
% 6.79/1.25 % CPU time: 6.838682 seconds
% 6.79/1.25 % Memory used: 117.229 MB
%------------------------------------------------------------------------------