TSTP Solution File: GEO597+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO597+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 12:09:16 EDT 2023
% Result : Theorem 3.41s 0.79s
% Output : CNFRefutation 3.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.07 % Problem : GEO597+1 : TPTP v8.1.2. Released v7.5.0.
% 0.02/0.08 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26 % Computer : n032.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.27 % WCLimit : 300
% 0.07/0.27 % DateTime : Tue May 30 12:02:01 EDT 2023
% 0.07/0.27 % CPUTime :
% 0.07/0.28 % Drodi V3.5.1
% 3.41/0.79 % Refutation found
% 3.41/0.79 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.41/0.79 % SZS output start CNFRefutation for theBenchmark
% 3.41/0.79 fof(f1,axiom,(
% 3.41/0.79 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 3.41/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.79 fof(f2,axiom,(
% 3.41/0.79 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 3.41/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.79 fof(f3,axiom,(
% 3.41/0.79 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 3.41/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.79 fof(f8,axiom,(
% 3.41/0.79 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 3.41/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.79 fof(f9,axiom,(
% 3.41/0.79 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 3.41/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.79 fof(f11,axiom,(
% 3.41/0.79 (! [A,B,M] :( midp(M,B,A)=> midp(M,A,B) ) )),
% 3.41/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.79 fof(f12,axiom,(
% 3.41/0.79 (! [A,B,C,O] :( ( cong(O,A,O,B)& cong(O,A,O,C) )=> circle(O,A,B,C) ) )),
% 3.41/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.79 fof(f13,axiom,(
% 3.41/0.79 (! [A,B,C,D,O] :( ( cong(O,A,O,B)& cong(O,A,O,C)& cong(O,A,O,D) )=> cyclic(A,B,C,D) ) )),
% 3.41/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.79 fof(f17,axiom,(
% 3.41/0.79 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 3.41/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.79 fof(f18,axiom,(
% 3.41/0.79 (! [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) ) )),
% 3.41/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.79 fof(f19,axiom,(
% 3.41/0.79 (! [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) ) )),
% 3.41/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.79 fof(f20,axiom,(
% 3.41/0.79 (! [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) ) )),
% 3.41/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.79 fof(f21,axiom,(
% 3.41/0.79 (! [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) ) )),
% 3.41/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.79 fof(f22,axiom,(
% 3.41/0.79 (! [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) ) )),
% 3.41/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.79 fof(f23,axiom,(
% 3.41/0.79 (! [A,B,C,D] :( cong(A,B,C,D)=> cong(A,B,D,C) ) )),
% 3.41/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.79 fof(f24,axiom,(
% 3.41/0.79 (! [A,B,C,D] :( cong(A,B,C,D)=> cong(C,D,A,B) ) )),
% 3.41/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.79 fof(f39,axiom,(
% 3.41/0.79 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 3.41/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.79 fof(f40,axiom,(
% 3.41/0.79 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 3.41/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.79 fof(f41,axiom,(
% 3.41/0.79 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 3.41/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.79 fof(f43,axiom,(
% 3.41/0.79 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 3.41/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.79 fof(f44,axiom,(
% 3.41/0.79 (! [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) ) )),
% 3.41/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.79 fof(f47,axiom,(
% 3.41/0.79 (! [A,B,O] :( cong(O,A,O,B)=> eqangle(O,A,A,B,A,B,O,B) ) )),
% 3.41/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.79 fof(f52,axiom,(
% 3.41/0.79 (! [A,B,C,O,M] :( ( circle(O,A,B,C)& coll(M,B,C)& eqangle(A,B,A,C,O,B,O,M) )=> midp(M,B,C) ) )),
% 3.41/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.79 fof(f54,axiom,(
% 3.41/0.79 (! [A,B,C,O] :( ( circle(O,A,B,C)& coll(O,A,C) )=> perp(A,B,B,C) ) )),
% 3.41/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.79 fof(f57,axiom,(
% 3.41/0.79 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 3.41/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.79 fof(f58,axiom,(
% 3.41/0.79 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q)& cyclic(A,B,P,Q) )=> perp(P,A,A,Q) ) )),
% 3.41/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.79 fof(f67,axiom,(
% 3.41/0.79 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 3.41/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.79 fof(f69,axiom,(
% 3.41/0.79 (! [A,B,C] :( midp(A,B,C)=> cong(A,B,A,C) ) )),
% 3.41/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.79 fof(f95,conjecture,(
% 3.41/0.79 (! [A,B,C,O,M,N,NWPNT1] :( ( circle(O,A,B,C)& midp(M,B,A)& coll(N,O,M)& circle(O,A,N,NWPNT1) )=> eqangle(A,C,C,N,N,C,C,B) ) )),
% 3.41/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.41/0.79 fof(f96,negated_conjecture,(
% 3.41/0.79 ~((! [A,B,C,O,M,N,NWPNT1] :( ( circle(O,A,B,C)& midp(M,B,A)& coll(N,O,M)& circle(O,A,N,NWPNT1) )=> eqangle(A,C,C,N,N,C,C,B) ) ))),
% 3.41/0.79 inference(negated_conjecture,[status(cth)],[f95])).
% 3.41/0.79 fof(f97,plain,(
% 3.41/0.79 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 3.41/0.79 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 3.41/0.79 fof(f98,plain,(
% 3.41/0.79 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 3.41/0.79 inference(cnf_transformation,[status(esa)],[f97])).
% 3.41/0.79 fof(f99,plain,(
% 3.41/0.79 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 3.41/0.79 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 3.41/0.79 fof(f100,plain,(
% 3.41/0.79 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 3.41/0.79 inference(cnf_transformation,[status(esa)],[f99])).
% 3.41/0.79 fof(f101,plain,(
% 3.41/0.79 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 3.41/0.79 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 3.41/0.79 fof(f102,plain,(
% 3.41/0.79 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 3.41/0.79 inference(miniscoping,[status(esa)],[f101])).
% 3.41/0.79 fof(f103,plain,(
% 3.41/0.79 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 3.41/0.79 inference(cnf_transformation,[status(esa)],[f102])).
% 3.41/0.79 fof(f113,plain,(
% 3.41/0.79 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 3.41/0.79 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 3.41/0.79 fof(f114,plain,(
% 3.41/0.79 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 3.41/0.79 inference(cnf_transformation,[status(esa)],[f113])).
% 3.41/0.79 fof(f115,plain,(
% 3.41/0.79 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 3.41/0.79 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 3.41/0.79 fof(f116,plain,(
% 3.41/0.79 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 3.41/0.79 inference(miniscoping,[status(esa)],[f115])).
% 3.41/0.79 fof(f117,plain,(
% 3.41/0.79 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 3.41/0.79 inference(cnf_transformation,[status(esa)],[f116])).
% 3.41/0.79 fof(f121,plain,(
% 3.41/0.79 ![A,B,M]: (~midp(M,B,A)|midp(M,A,B))),
% 3.41/0.79 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 3.41/0.79 fof(f122,plain,(
% 3.41/0.79 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X0,X2,X1))),
% 3.41/0.79 inference(cnf_transformation,[status(esa)],[f121])).
% 3.41/0.79 fof(f123,plain,(
% 3.41/0.79 ![A,B,C,O]: ((~cong(O,A,O,B)|~cong(O,A,O,C))|circle(O,A,B,C))),
% 3.41/0.79 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 3.41/0.79 fof(f124,plain,(
% 3.41/0.79 ![X0,X1,X2,X3]: (~cong(X0,X1,X0,X2)|~cong(X0,X1,X0,X3)|circle(X0,X1,X2,X3))),
% 3.41/0.79 inference(cnf_transformation,[status(esa)],[f123])).
% 3.41/0.79 fof(f125,plain,(
% 3.41/0.79 ![A,B,C,D,O]: (((~cong(O,A,O,B)|~cong(O,A,O,C))|~cong(O,A,O,D))|cyclic(A,B,C,D))),
% 3.41/0.79 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 3.41/0.79 fof(f126,plain,(
% 3.41/0.79 ![A,B,C,D]: ((![O]: ((~cong(O,A,O,B)|~cong(O,A,O,C))|~cong(O,A,O,D)))|cyclic(A,B,C,D))),
% 3.41/0.79 inference(miniscoping,[status(esa)],[f125])).
% 3.41/0.79 fof(f127,plain,(
% 3.41/0.79 ![X0,X1,X2,X3,X4]: (~cong(X0,X1,X0,X2)|~cong(X0,X1,X0,X3)|~cong(X0,X1,X0,X4)|cyclic(X1,X2,X3,X4))),
% 3.41/0.79 inference(cnf_transformation,[status(esa)],[f126])).
% 3.41/0.79 fof(f134,plain,(
% 3.41/0.79 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 3.41/0.79 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 3.41/0.79 fof(f135,plain,(
% 3.41/0.79 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 3.41/0.79 inference(miniscoping,[status(esa)],[f134])).
% 3.41/0.79 fof(f136,plain,(
% 3.41/0.79 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 3.41/0.79 inference(cnf_transformation,[status(esa)],[f135])).
% 3.41/0.79 fof(f137,plain,(
% 3.41/0.79 ![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))),
% 3.41/0.79 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 3.41/0.79 fof(f138,plain,(
% 3.41/0.79 ![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))),
% 3.41/0.79 inference(cnf_transformation,[status(esa)],[f137])).
% 3.41/0.79 fof(f139,plain,(
% 3.41/0.79 ![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))),
% 3.41/0.79 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 3.41/0.79 fof(f140,plain,(
% 3.41/0.79 ![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))),
% 3.41/0.79 inference(cnf_transformation,[status(esa)],[f139])).
% 3.41/0.79 fof(f141,plain,(
% 3.41/0.79 ![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))),
% 3.41/0.79 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 3.41/0.79 fof(f142,plain,(
% 3.41/0.79 ![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))),
% 3.41/0.79 inference(cnf_transformation,[status(esa)],[f141])).
% 3.41/0.79 fof(f143,plain,(
% 3.41/0.79 ![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))),
% 3.41/0.79 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 3.41/0.79 fof(f144,plain,(
% 3.41/0.79 ![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))),
% 3.41/0.79 inference(cnf_transformation,[status(esa)],[f143])).
% 3.41/0.79 fof(f145,plain,(
% 3.41/0.79 ![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))),
% 3.41/0.79 inference(pre_NNF_transformation,[status(esa)],[f22])).
% 3.41/0.79 fof(f146,plain,(
% 3.41/0.79 ![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))),
% 3.41/0.79 inference(miniscoping,[status(esa)],[f145])).
% 3.41/0.79 fof(f147,plain,(
% 3.41/0.79 ![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))),
% 3.41/0.79 inference(cnf_transformation,[status(esa)],[f146])).
% 3.41/0.79 fof(f148,plain,(
% 3.41/0.79 ![A,B,C,D]: (~cong(A,B,C,D)|cong(A,B,D,C))),
% 3.41/0.79 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 3.41/0.79 fof(f149,plain,(
% 3.41/0.79 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X3)|cong(X0,X1,X3,X2))),
% 3.41/0.79 inference(cnf_transformation,[status(esa)],[f148])).
% 3.41/0.79 fof(f150,plain,(
% 3.41/0.79 ![A,B,C,D]: (~cong(A,B,C,D)|cong(C,D,A,B))),
% 3.41/0.79 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 3.41/0.79 fof(f151,plain,(
% 3.41/0.79 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X3)|cong(X2,X3,X0,X1))),
% 3.41/0.79 inference(cnf_transformation,[status(esa)],[f150])).
% 3.41/0.79 fof(f184,plain,(
% 3.41/0.79 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 3.41/0.79 inference(pre_NNF_transformation,[status(esa)],[f39])).
% 3.41/0.79 fof(f185,plain,(
% 3.41/0.79 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 3.41/0.79 inference(miniscoping,[status(esa)],[f184])).
% 3.41/0.79 fof(f186,plain,(
% 3.41/0.79 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 3.41/0.79 inference(cnf_transformation,[status(esa)],[f185])).
% 3.41/0.79 fof(f187,plain,(
% 3.41/0.79 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 3.41/0.79 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 3.41/0.79 fof(f188,plain,(
% 3.41/0.79 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 3.41/0.79 inference(miniscoping,[status(esa)],[f187])).
% 3.41/0.79 fof(f189,plain,(
% 3.41/0.79 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 3.41/0.79 inference(cnf_transformation,[status(esa)],[f188])).
% 3.41/0.79 fof(f190,plain,(
% 3.41/0.79 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 3.41/0.79 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 3.41/0.79 fof(f191,plain,(
% 3.41/0.79 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 3.41/0.79 inference(cnf_transformation,[status(esa)],[f190])).
% 3.41/0.79 fof(f194,plain,(
% 3.41/0.79 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 3.41/0.79 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 3.41/0.79 fof(f195,plain,(
% 3.41/0.79 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 3.41/0.79 inference(cnf_transformation,[status(esa)],[f194])).
% 3.41/0.79 fof(f196,plain,(
% 3.41/0.79 ![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))),
% 3.41/0.79 inference(pre_NNF_transformation,[status(esa)],[f44])).
% 3.41/0.79 fof(f197,plain,(
% 3.41/0.79 ![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))),
% 3.41/0.79 inference(miniscoping,[status(esa)],[f196])).
% 3.41/0.79 fof(f198,plain,(
% 3.41/0.79 ![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))),
% 3.41/0.79 inference(cnf_transformation,[status(esa)],[f197])).
% 3.41/0.79 fof(f205,plain,(
% 3.41/0.79 ![A,B,O]: (~cong(O,A,O,B)|eqangle(O,A,A,B,A,B,O,B))),
% 3.41/0.79 inference(pre_NNF_transformation,[status(esa)],[f47])).
% 3.41/0.79 fof(f206,plain,(
% 3.41/0.79 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|eqangle(X0,X1,X1,X2,X1,X2,X0,X2))),
% 3.41/0.79 inference(cnf_transformation,[status(esa)],[f205])).
% 3.41/0.79 fof(f217,plain,(
% 3.41/0.79 ![A,B,C,O,M]: (((~circle(O,A,B,C)|~coll(M,B,C))|~eqangle(A,B,A,C,O,B,O,M))|midp(M,B,C))),
% 3.41/0.79 inference(pre_NNF_transformation,[status(esa)],[f52])).
% 3.41/0.79 fof(f218,plain,(
% 3.41/0.79 ![B,C,M]: ((![A,O]: ((~circle(O,A,B,C)|~coll(M,B,C))|~eqangle(A,B,A,C,O,B,O,M)))|midp(M,B,C))),
% 3.41/0.79 inference(miniscoping,[status(esa)],[f217])).
% 3.41/0.79 fof(f219,plain,(
% 3.41/0.79 ![X0,X1,X2,X3,X4]: (~circle(X0,X1,X2,X3)|~coll(X4,X2,X3)|~eqangle(X1,X2,X1,X3,X0,X2,X0,X4)|midp(X4,X2,X3))),
% 3.41/0.79 inference(cnf_transformation,[status(esa)],[f218])).
% 3.41/0.79 fof(f223,plain,(
% 3.41/0.79 ![A,B,C,O]: ((~circle(O,A,B,C)|~coll(O,A,C))|perp(A,B,B,C))),
% 3.41/0.79 inference(pre_NNF_transformation,[status(esa)],[f54])).
% 3.41/0.79 fof(f224,plain,(
% 3.41/0.79 ![A,B,C]: ((![O]: (~circle(O,A,B,C)|~coll(O,A,C)))|perp(A,B,B,C))),
% 3.41/0.79 inference(miniscoping,[status(esa)],[f223])).
% 3.41/0.79 fof(f225,plain,(
% 3.41/0.79 ![X0,X1,X2,X3]: (~circle(X0,X1,X2,X3)|~coll(X0,X1,X3)|perp(X1,X2,X2,X3))),
% 3.41/0.79 inference(cnf_transformation,[status(esa)],[f224])).
% 3.41/0.79 fof(f231,plain,(
% 3.41/0.79 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 3.41/0.79 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 3.41/0.79 fof(f232,plain,(
% 3.41/0.79 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 3.41/0.79 inference(cnf_transformation,[status(esa)],[f231])).
% 3.41/0.79 fof(f233,plain,(
% 3.41/0.79 ![A,B,P,Q]: (((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q))|perp(P,A,A,Q))),
% 3.41/0.79 inference(pre_NNF_transformation,[status(esa)],[f58])).
% 3.41/0.79 fof(f234,plain,(
% 3.41/0.79 ![A,P,Q]: ((![B]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q)))|perp(P,A,A,Q))),
% 3.41/0.79 inference(miniscoping,[status(esa)],[f233])).
% 3.41/0.79 fof(f235,plain,(
% 3.41/0.79 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|~cyclic(X0,X2,X1,X3)|perp(X1,X0,X0,X3))),
% 3.41/0.79 inference(cnf_transformation,[status(esa)],[f234])).
% 3.41/0.79 fof(f255,plain,(
% 3.41/0.79 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 3.41/0.79 inference(pre_NNF_transformation,[status(esa)],[f67])).
% 3.41/0.79 fof(f256,plain,(
% 3.41/0.79 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 3.41/0.79 inference(cnf_transformation,[status(esa)],[f255])).
% 3.41/0.79 fof(f259,plain,(
% 3.41/0.79 ![A,B,C]: (~midp(A,B,C)|cong(A,B,A,C))),
% 3.41/0.79 inference(pre_NNF_transformation,[status(esa)],[f69])).
% 3.41/0.79 fof(f260,plain,(
% 3.41/0.79 ![X0,X1,X2]: (~midp(X0,X1,X2)|cong(X0,X1,X0,X2))),
% 3.41/0.79 inference(cnf_transformation,[status(esa)],[f259])).
% 3.41/0.79 fof(f369,plain,(
% 3.41/0.79 (?[A,B,C,O,M,N,NWPNT1]: ((((circle(O,A,B,C)&midp(M,B,A))&coll(N,O,M))&circle(O,A,N,NWPNT1))&~eqangle(A,C,C,N,N,C,C,B)))),
% 3.41/0.79 inference(pre_NNF_transformation,[status(esa)],[f96])).
% 3.41/0.79 fof(f370,plain,(
% 3.41/0.79 ?[A,B,C,N]: ((?[O]: ((?[M]: ((circle(O,A,B,C)&midp(M,B,A))&coll(N,O,M)))&(?[NWPNT1]: circle(O,A,N,NWPNT1))))&~eqangle(A,C,C,N,N,C,C,B))),
% 3.41/0.79 inference(miniscoping,[status(esa)],[f369])).
% 3.41/0.79 fof(f371,plain,(
% 3.41/0.79 ((((circle(sk0_24,sk0_20,sk0_21,sk0_22)&midp(sk0_25,sk0_21,sk0_20))&coll(sk0_23,sk0_24,sk0_25))&circle(sk0_24,sk0_20,sk0_23,sk0_26))&~eqangle(sk0_20,sk0_22,sk0_22,sk0_23,sk0_23,sk0_22,sk0_22,sk0_21))),
% 3.41/0.79 inference(skolemization,[status(esa)],[f370])).
% 3.41/0.79 fof(f373,plain,(
% 3.41/0.79 midp(sk0_25,sk0_21,sk0_20)),
% 3.41/0.79 inference(cnf_transformation,[status(esa)],[f371])).
% 3.41/0.79 fof(f375,plain,(
% 3.41/0.79 circle(sk0_24,sk0_20,sk0_23,sk0_26)),
% 3.41/0.79 inference(cnf_transformation,[status(esa)],[f371])).
% 3.41/0.79 fof(f376,plain,(
% 3.41/0.79 ~eqangle(sk0_20,sk0_22,sk0_22,sk0_23,sk0_23,sk0_22,sk0_22,sk0_21)),
% 3.41/0.79 inference(cnf_transformation,[status(esa)],[f371])).
% 3.41/0.79 fof(f389,plain,(
% 3.41/0.79 midp(sk0_25,sk0_20,sk0_21)),
% 3.41/0.79 inference(resolution,[status(thm)],[f122,f373])).
% 3.41/0.79 fof(f622,plain,(
% 3.41/0.79 ![X0,X1,X2,X3]: (~cong(X0,X1,X0,X2)|cyclic(X1,X2,X3,X3)|~midp(X0,X1,X3))),
% 3.41/0.79 inference(resolution,[status(thm)],[f127,f260])).
% 3.41/0.79 fof(f768,plain,(
% 3.41/0.79 ![X0,X1,X2]: (cong(X0,X1,X2,X0)|~midp(X0,X1,X2))),
% 3.41/0.79 inference(resolution,[status(thm)],[f149,f260])).
% 3.41/0.79 fof(f1064,plain,(
% 3.41/0.79 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|eqangle(X1,X0,X1,X2,X1,X2,X0,X2))),
% 3.41/0.79 inference(resolution,[status(thm)],[f206,f138])).
% 3.41/0.79 fof(f1506,plain,(
% 3.41/0.79 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|eqangle(X1,X2,X1,X0,X0,X2,X1,X2))),
% 3.41/0.79 inference(resolution,[status(thm)],[f1064,f140])).
% 3.41/0.79 fof(f1537,plain,(
% 3.41/0.79 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|eqangle(X2,X1,X1,X0,X0,X2,X1,X2))),
% 3.41/0.79 inference(resolution,[status(thm)],[f1506,f138])).
% 3.41/0.79 fof(f1604,plain,(
% 3.41/0.79 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|eqangle(X0,X2,X1,X2,X2,X1,X1,X0))),
% 3.41/0.79 inference(resolution,[status(thm)],[f1537,f142])).
% 3.41/0.79 fof(f1635,plain,(
% 3.41/0.79 spl0_0 <=> coll(sk0_24,sk0_20,sk0_26)),
% 3.41/0.79 introduced(split_symbol_definition)).
% 3.41/0.79 fof(f1637,plain,(
% 3.41/0.79 ~coll(sk0_24,sk0_20,sk0_26)|spl0_0),
% 3.41/0.79 inference(component_clause,[status(thm)],[f1635])).
% 3.41/0.79 fof(f1638,plain,(
% 3.41/0.79 spl0_1 <=> perp(sk0_20,sk0_23,sk0_23,sk0_26)),
% 3.41/0.79 introduced(split_symbol_definition)).
% 3.41/0.79 fof(f1639,plain,(
% 3.41/0.79 perp(sk0_20,sk0_23,sk0_23,sk0_26)|~spl0_1),
% 3.41/0.79 inference(component_clause,[status(thm)],[f1638])).
% 3.41/0.79 fof(f1641,plain,(
% 3.41/0.79 ~coll(sk0_24,sk0_20,sk0_26)|perp(sk0_20,sk0_23,sk0_23,sk0_26)),
% 3.41/0.79 inference(resolution,[status(thm)],[f225,f375])).
% 3.41/0.79 fof(f1642,plain,(
% 3.41/0.79 ~spl0_0|spl0_1),
% 3.41/0.79 inference(split_clause,[status(thm)],[f1641,f1635,f1638])).
% 3.41/0.79 fof(f1777,plain,(
% 3.41/0.79 ![X0,X1]: (para(X0,X0,X0,X1)|~cong(X0,X1,X0,X0))),
% 3.41/0.79 inference(resolution,[status(thm)],[f186,f1604])).
% 3.41/0.79 fof(f1822,plain,(
% 3.41/0.79 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (~para(X0,X1,X2,X3)|~eqangle(X4,X5,X6,X7,X0,X1,X8,X9)|eqangle(X4,X5,X6,X7,X2,X3,X8,X9))),
% 3.41/0.79 inference(resolution,[status(thm)],[f189,f147])).
% 3.41/0.79 fof(f1823,plain,(
% 3.41/0.79 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X2,X3,X4,X5,X4,X5))),
% 3.41/0.79 inference(resolution,[status(thm)],[f189,f144])).
% 3.41/0.79 fof(f1825,plain,(
% 3.41/0.79 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X4,X5,X0,X1,X4,X5,X2,X3))),
% 3.41/0.79 inference(resolution,[status(thm)],[f189,f140])).
% 3.41/0.79 fof(f1841,plain,(
% 3.41/0.79 ![X0,X1]: (para(X0,X0,X0,X1)|~midp(X0,X1,X0))),
% 3.41/0.79 inference(resolution,[status(thm)],[f1777,f768])).
% 3.41/0.79 fof(f2058,plain,(
% 3.41/0.79 ![X0,X1,X2]: (~cyclic(X0,X1,X2,X2)|para(X2,X0,X2,X0))),
% 3.41/0.79 inference(resolution,[status(thm)],[f191,f186])).
% 3.41/0.79 fof(f2565,plain,(
% 3.41/0.79 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X2,X3,X0,X1,X4,X5,X4,X5))),
% 3.41/0.79 inference(resolution,[status(thm)],[f1823,f140])).
% 3.41/0.79 fof(f2587,plain,(
% 3.41/0.79 spl0_25 <=> ~para(X0,X1,X0,X1)),
% 3.41/0.79 introduced(split_symbol_definition)).
% 3.41/0.79 fof(f2588,plain,(
% 3.41/0.79 ![X0,X1]: (~para(X0,X1,X0,X1)|~spl0_25)),
% 3.41/0.79 inference(component_clause,[status(thm)],[f2587])).
% 3.41/0.79 fof(f2590,plain,(
% 3.41/0.79 spl0_26 <=> para(X2,X3,X2,X3)),
% 3.41/0.79 introduced(split_symbol_definition)).
% 3.41/0.79 fof(f2591,plain,(
% 3.41/0.79 ![X0,X1]: (para(X0,X1,X0,X1)|~spl0_26)),
% 3.41/0.79 inference(component_clause,[status(thm)],[f2590])).
% 3.41/0.79 fof(f2593,plain,(
% 3.41/0.79 ![X0,X1,X2,X3]: (~para(X0,X1,X0,X1)|para(X2,X3,X2,X3))),
% 3.41/0.79 inference(resolution,[status(thm)],[f1825,f186])).
% 3.41/0.79 fof(f2594,plain,(
% 3.41/0.79 spl0_25|spl0_26),
% 3.41/0.79 inference(split_clause,[status(thm)],[f2593,f2587,f2590])).
% 3.41/0.79 fof(f2893,plain,(
% 3.41/0.79 ![X0,X1,X2]: (~cyclic(X0,X1,X2,X2)|~spl0_25)),
% 3.41/0.79 inference(backward_subsumption_resolution,[status(thm)],[f2058,f2588])).
% 3.41/0.79 fof(f2905,plain,(
% 3.41/0.79 ![X0,X1,X2,X3]: (~cong(X0,X1,X0,X2)|~midp(X0,X1,X3)|~spl0_25)),
% 3.41/0.79 inference(backward_subsumption_resolution,[status(thm)],[f622,f2893])).
% 3.41/0.79 fof(f2909,plain,(
% 3.41/0.79 ![X0,X1,X2]: (~midp(X0,X1,X2)|~spl0_25)),
% 3.41/0.79 inference(backward_subsumption_resolution,[status(thm)],[f260,f2905])).
% 3.41/0.79 fof(f2923,plain,(
% 3.41/0.79 $false|~spl0_25),
% 3.41/0.79 inference(backward_subsumption_resolution,[status(thm)],[f389,f2909])).
% 3.41/0.79 fof(f2924,plain,(
% 3.41/0.79 ~spl0_25),
% 3.41/0.79 inference(contradiction_clause,[status(thm)],[f2923])).
% 3.41/0.79 fof(f2928,plain,(
% 3.41/0.79 ![X0,X1]: (coll(X0,X1,X1)|~spl0_26)),
% 3.41/0.79 inference(resolution,[status(thm)],[f2591,f256])).
% 3.41/0.79 fof(f3030,plain,(
% 3.41/0.79 ![X0,X1]: (coll(X0,X1,X0)|~spl0_26)),
% 3.41/0.79 inference(resolution,[status(thm)],[f2928,f100])).
% 3.41/0.79 fof(f3134,plain,(
% 3.41/0.79 ![X0,X1]: (coll(X0,X0,X1)|~spl0_26)),
% 3.41/0.79 inference(resolution,[status(thm)],[f3030,f98])).
% 3.41/0.79 fof(f3155,plain,(
% 3.41/0.79 ![X0,X1,X2]: (~coll(X0,X0,X1)|coll(X1,X2,X0)|~spl0_26)),
% 3.41/0.79 inference(resolution,[status(thm)],[f3134,f103])).
% 3.41/0.79 fof(f3156,plain,(
% 3.41/0.79 ![X0,X1,X2]: (coll(X0,X1,X2)|~spl0_26)),
% 3.41/0.79 inference(forward_subsumption_resolution,[status(thm)],[f3155,f3134])).
% 3.41/0.79 fof(f3159,plain,(
% 3.41/0.79 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|cyclic(X1,X2,X0,X3)|~spl0_26)),
% 3.41/0.79 inference(backward_subsumption_resolution,[status(thm)],[f195,f3156])).
% 3.41/0.79 fof(f3161,plain,(
% 3.41/0.79 $false|~spl0_26|spl0_0),
% 3.41/0.79 inference(backward_subsumption_resolution,[status(thm)],[f1637,f3156])).
% 3.41/0.79 fof(f3162,plain,(
% 3.41/0.79 ~spl0_26|spl0_0),
% 3.41/0.79 inference(contradiction_clause,[status(thm)],[f3161])).
% 3.41/0.79 fof(f3177,plain,(
% 3.41/0.79 ![X0,X1,X2]: (cyclic(X0,X0,X1,X2)|~para(X1,X0,X1,X0)|~spl0_26)),
% 3.41/0.79 inference(resolution,[status(thm)],[f3159,f1823])).
% 3.41/0.79 fof(f3178,plain,(
% 3.41/0.79 ![X0,X1,X2]: (cyclic(X0,X0,X1,X2)|~spl0_26)),
% 3.41/0.79 inference(forward_subsumption_resolution,[status(thm)],[f3177,f2591])).
% 3.41/0.79 fof(f3230,plain,(
% 3.41/0.79 ![X0,X1]: (~perp(X0,X1,sk0_20,sk0_23)|para(X0,X1,sk0_23,sk0_26)|~spl0_1)),
% 3.41/0.79 inference(resolution,[status(thm)],[f1639,f117])).
% 3.41/0.79 fof(f3467,plain,(
% 3.41/0.79 ![X0,X1,X2,X3]: (~cyclic(X0,X0,X1,X2)|cyclic(X0,X1,X2,X3)|~spl0_26)),
% 3.41/0.79 inference(resolution,[status(thm)],[f3178,f136])).
% 3.41/0.79 fof(f3468,plain,(
% 3.41/0.79 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3)|~spl0_26)),
% 3.41/0.79 inference(forward_subsumption_resolution,[status(thm)],[f3467,f3178])).
% 3.41/0.79 fof(f3478,plain,(
% 3.41/0.79 ![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_26)),
% 3.41/0.79 inference(backward_subsumption_resolution,[status(thm)],[f198,f3468])).
% 3.41/0.79 fof(f3479,plain,(
% 3.41/0.79 ![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_26)),
% 3.41/0.79 inference(forward_subsumption_resolution,[status(thm)],[f3478,f3468])).
% 3.41/0.79 fof(f3480,plain,(
% 3.41/0.79 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~spl0_26)),
% 3.41/0.79 inference(backward_subsumption_resolution,[status(thm)],[f191,f3468])).
% 3.41/0.79 fof(f3481,plain,(
% 3.41/0.79 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X1,X0,X0,X3)|~spl0_26)),
% 3.41/0.79 inference(backward_subsumption_resolution,[status(thm)],[f235,f3468])).
% 3.41/0.79 fof(f3492,plain,(
% 3.41/0.79 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X0,X2,X3,X4,X3,X5)|cong(X1,X2,X4,X5)|~spl0_26)),
% 3.41/0.79 inference(forward_subsumption_resolution,[status(thm)],[f3479,f3468])).
% 3.41/0.79 fof(f3511,plain,(
% 3.41/0.79 ![X0,X1,X2,X3]: (cong(X0,X1,X2,X1)|~para(X3,X0,X3,X2)|~spl0_26)),
% 3.41/0.79 inference(resolution,[status(thm)],[f3492,f189])).
% 3.41/0.79 fof(f3525,plain,(
% 3.41/0.79 ![X0,X1]: (cong(X0,X1,X0,X1)|~spl0_26)),
% 3.41/0.79 inference(resolution,[status(thm)],[f3480,f3492])).
% 3.41/0.79 fof(f3568,plain,(
% 3.41/0.79 ![X0,X1,X2,X3,X4]: (~circle(X0,X1,X2,X3)|~eqangle(X1,X2,X1,X3,X0,X2,X0,X4)|midp(X4,X2,X3)|~spl0_26)),
% 3.41/0.79 inference(forward_subsumption_resolution,[status(thm)],[f219,f3156])).
% 3.41/0.79 fof(f3569,plain,(
% 3.41/0.79 ![X0,X1,X2,X3]: (~circle(X0,X1,X2,X3)|midp(X3,X2,X3)|~spl0_26)),
% 3.41/0.79 inference(resolution,[status(thm)],[f3568,f3480])).
% 3.41/0.79 fof(f3659,plain,(
% 3.41/0.79 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X1,X0,X0,X2)|~spl0_26)),
% 3.41/0.79 inference(resolution,[status(thm)],[f3525,f3481])).
% 3.41/0.79 fof(f3660,plain,(
% 3.41/0.79 ![X0,X1,X2]: (perp(X0,X1,X1,X2)|~spl0_26)),
% 3.41/0.79 inference(forward_subsumption_resolution,[status(thm)],[f3659,f3525])).
% 3.41/0.79 fof(f3684,plain,(
% 3.41/0.79 ![X0,X1,X2]: (perp(X0,X1,X2,X0)|~spl0_26)),
% 3.41/0.79 inference(resolution,[status(thm)],[f3660,f114])).
% 3.41/0.79 fof(f3958,plain,(
% 3.41/0.79 ![X0]: (para(sk0_23,X0,sk0_23,sk0_26)|~spl0_1|~spl0_26)),
% 3.41/0.79 inference(resolution,[status(thm)],[f3230,f3684])).
% 3.41/0.79 fof(f4469,plain,(
% 3.41/0.79 ![X0,X1]: (cong(X0,X1,sk0_26,X1)|~spl0_1|~spl0_26)),
% 3.41/0.79 inference(resolution,[status(thm)],[f3511,f3958])).
% 3.41/0.79 fof(f4539,plain,(
% 3.41/0.79 ![X0,X1]: (cong(X0,X1,X1,sk0_26)|~spl0_1|~spl0_26)),
% 3.41/0.79 inference(resolution,[status(thm)],[f4469,f149])).
% 3.41/0.79 fof(f4765,plain,(
% 3.41/0.79 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X3,X2,X0,X1,X4,X5,X4,X5))),
% 3.41/0.79 inference(resolution,[status(thm)],[f2565,f138])).
% 3.41/0.79 fof(f4869,plain,(
% 3.41/0.79 ![X0,X1]: (cong(X0,sk0_26,X1,X0)|~spl0_1|~spl0_26)),
% 3.41/0.79 inference(resolution,[status(thm)],[f4539,f151])).
% 3.41/0.79 fof(f4911,plain,(
% 3.41/0.79 ![X0,X1]: (cong(X0,sk0_26,X0,X1)|~spl0_1|~spl0_26)),
% 3.41/0.79 inference(resolution,[status(thm)],[f4869,f149])).
% 3.41/0.79 fof(f5041,plain,(
% 3.41/0.79 ![X0,X1,X2]: (~cong(X0,sk0_26,X0,X1)|circle(X0,sk0_26,X1,X2)|~spl0_1|~spl0_26)),
% 3.41/0.79 inference(resolution,[status(thm)],[f4911,f124])).
% 3.41/0.79 fof(f5042,plain,(
% 3.41/0.79 ![X0,X1,X2]: (circle(X0,sk0_26,X1,X2)|~spl0_1|~spl0_26)),
% 3.41/0.79 inference(forward_subsumption_resolution,[status(thm)],[f5041,f4911])).
% 3.41/0.79 fof(f5070,plain,(
% 3.41/0.79 ![X0,X1]: (midp(X0,X1,X0)|~spl0_1|~spl0_26)),
% 3.41/0.79 inference(resolution,[status(thm)],[f3569,f5042])).
% 3.41/0.79 fof(f5224,plain,(
% 3.41/0.79 ![X0,X1]: (para(X0,X0,X0,X1)|~spl0_1|~spl0_26)),
% 3.41/0.80 inference(backward_subsumption_resolution,[status(thm)],[f1841,f5070])).
% 3.41/0.80 fof(f5260,plain,(
% 3.41/0.80 ![X0,X1,X2]: (cong(X0,X1,X2,X1)|~spl0_1|~spl0_26)),
% 3.41/0.80 inference(resolution,[status(thm)],[f5224,f3511])).
% 3.41/0.80 fof(f5303,plain,(
% 3.41/0.80 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|perp(X0,X2,X3,X1)|~spl0_1|~spl0_26)),
% 3.41/0.80 inference(backward_subsumption_resolution,[status(thm)],[f232,f5260])).
% 3.41/0.80 fof(f5304,plain,(
% 3.41/0.80 ![X0,X1,X2,X3]: (perp(X0,X1,X2,X3)|~spl0_1|~spl0_26)),
% 3.41/0.80 inference(forward_subsumption_resolution,[status(thm)],[f5303,f5260])).
% 3.41/0.80 fof(f5316,plain,(
% 3.41/0.80 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|para(X4,X5,X2,X3)|~spl0_1|~spl0_26)),
% 3.41/0.80 inference(backward_subsumption_resolution,[status(thm)],[f117,f5304])).
% 3.41/0.80 fof(f5317,plain,(
% 3.41/0.80 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3)|~spl0_1|~spl0_26)),
% 3.41/0.80 inference(forward_subsumption_resolution,[status(thm)],[f5316,f5304])).
% 3.41/0.80 fof(f5489,plain,(
% 3.41/0.80 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|eqangle(X0,X1,X2,X3,X8,X9,X6,X7)|~spl0_1|~spl0_26)),
% 3.41/0.80 inference(forward_subsumption_resolution,[status(thm)],[f1822,f5317])).
% 3.41/0.80 fof(f5771,plain,(
% 3.41/0.80 ![X0,X1,X2,X3,X4,X5]: (eqangle(X0,X1,X2,X3,X4,X5,X4,X5)|~spl0_1|~spl0_26)),
% 3.41/0.80 inference(forward_subsumption_resolution,[status(thm)],[f4765,f5317])).
% 3.41/0.80 fof(f5772,plain,(
% 3.41/0.80 ![X0,X1,X2,X3,X4,X5,X6,X7]: (eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|~spl0_1|~spl0_26)),
% 3.41/0.80 inference(resolution,[status(thm)],[f5771,f5489])).
% 3.41/0.80 fof(f6586,plain,(
% 3.41/0.80 $false|~spl0_1|~spl0_26),
% 3.41/0.80 inference(backward_subsumption_resolution,[status(thm)],[f376,f5772])).
% 3.41/0.80 fof(f6587,plain,(
% 3.41/0.80 ~spl0_1|~spl0_26),
% 3.41/0.80 inference(contradiction_clause,[status(thm)],[f6586])).
% 3.41/0.80 fof(f6588,plain,(
% 3.41/0.80 $false),
% 3.41/0.80 inference(sat_refutation,[status(thm)],[f1642,f2594,f2924,f3162,f6587])).
% 3.41/0.80 % SZS output end CNFRefutation for theBenchmark.p
% 3.41/0.80 % Elapsed time: 0.531628 seconds
% 3.41/0.80 % CPU time: 3.612064 seconds
% 3.41/0.80 % Memory used: 87.582 MB
%------------------------------------------------------------------------------