TSTP Solution File: GEO610+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO610+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 12:09:19 EDT 2023
% Result : Theorem 6.90s 1.28s
% Output : CNFRefutation 6.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO610+1 : TPTP v8.1.2. Released v7.5.0.
% 0.09/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.32 % Computer : n016.cluster.edu
% 0.09/0.32 % Model : x86_64 x86_64
% 0.09/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.32 % Memory : 8042.1875MB
% 0.09/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.32 % CPULimit : 300
% 0.09/0.32 % WCLimit : 300
% 0.09/0.32 % DateTime : Tue May 30 12:31:14 EDT 2023
% 0.09/0.32 % CPUTime :
% 0.09/0.33 % Drodi V3.5.1
% 6.90/1.28 % Refutation found
% 6.90/1.28 % SZS status Theorem for theBenchmark: Theorem is valid
% 6.90/1.28 % SZS output start CNFRefutation for theBenchmark
% 6.90/1.28 fof(f1,axiom,(
% 6.90/1.28 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 6.90/1.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.90/1.28 fof(f2,axiom,(
% 6.90/1.28 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 6.90/1.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.90/1.28 fof(f3,axiom,(
% 6.90/1.28 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 6.90/1.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.90/1.28 fof(f7,axiom,(
% 6.90/1.28 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(A,B,D,C) ) )),
% 6.90/1.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.90/1.28 fof(f8,axiom,(
% 6.90/1.28 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 6.90/1.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.90/1.28 fof(f9,axiom,(
% 6.90/1.28 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 6.90/1.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.90/1.28 fof(f11,axiom,(
% 6.90/1.28 (! [A,B,M] :( midp(M,B,A)=> midp(M,A,B) ) )),
% 6.90/1.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.90/1.28 fof(f12,axiom,(
% 6.90/1.28 (! [A,B,C,O] :( ( cong(O,A,O,B)& cong(O,A,O,C) )=> circle(O,A,B,C) ) )),
% 6.90/1.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.90/1.28 fof(f17,axiom,(
% 6.90/1.28 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 6.90/1.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.90/1.28 fof(f18,axiom,(
% 6.90/1.28 (! [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) ) )),
% 6.90/1.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.90/1.28 fof(f20,axiom,(
% 6.90/1.28 (! [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) ) )),
% 6.90/1.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.90/1.28 fof(f21,axiom,(
% 6.90/1.28 (! [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) ) )),
% 6.90/1.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.90/1.28 fof(f22,axiom,(
% 6.90/1.28 (! [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) ) )),
% 6.90/1.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.90/1.28 fof(f25,axiom,(
% 6.90/1.28 (! [A,B,C,D,E,F] :( ( cong(A,B,C,D)& cong(C,D,E,F) )=> cong(A,B,E,F) ) )),
% 6.90/1.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.90/1.28 fof(f39,axiom,(
% 6.90/1.28 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 6.90/1.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.90/1.28 fof(f40,axiom,(
% 6.90/1.28 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 6.90/1.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.90/1.28 fof(f41,axiom,(
% 6.90/1.28 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 6.90/1.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.90/1.28 fof(f42,axiom,(
% 6.90/1.28 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& ~ coll(P,Q,A) )=> cyclic(A,B,P,Q) ) )),
% 6.90/1.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.90/1.28 fof(f43,axiom,(
% 6.90/1.28 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 6.90/1.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.90/1.28 fof(f44,axiom,(
% 6.90/1.28 (! [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) ) )),
% 6.90/1.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.90/1.28 fof(f49,axiom,(
% 6.90/1.28 (! [A,B,C,O,X] :( ( circle(O,A,B,C)& perp(O,A,A,X) )=> eqangle(A,X,A,B,C,A,C,B) ) )),
% 6.90/1.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.90/1.28 fof(f52,axiom,(
% 6.90/1.28 (! [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) ) )),
% 6.90/1.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.90/1.28 fof(f53,axiom,(
% 6.90/1.28 (! [A,B,C,M] :( ( perp(A,B,B,C)& midp(M,A,C) )=> cong(A,M,B,M) ) )),
% 6.90/1.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.90/1.28 fof(f54,axiom,(
% 6.90/1.28 (! [A,B,C,O] :( ( circle(O,A,B,C)& coll(O,A,C) )=> perp(A,B,B,C) ) )),
% 6.90/1.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.90/1.28 fof(f56,axiom,(
% 6.90/1.28 (! [A,B,M,O] :( ( midp(M,A,B)& perp(O,M,A,B) )=> cong(O,A,O,B) ) )),
% 6.90/1.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.90/1.28 fof(f57,axiom,(
% 6.90/1.28 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 6.90/1.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.90/1.29 fof(f58,axiom,(
% 6.90/1.29 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q)& cyclic(A,B,P,Q) )=> perp(P,A,A,Q) ) )),
% 6.90/1.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.90/1.29 fof(f67,axiom,(
% 6.90/1.29 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 6.90/1.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.90/1.29 fof(f68,axiom,(
% 6.90/1.29 (! [A,B,C] :( ( cong(A,B,A,C)& coll(A,B,C) )=> midp(A,B,C) ) )),
% 6.90/1.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.90/1.29 fof(f69,axiom,(
% 6.90/1.29 (! [A,B,C] :( midp(A,B,C)=> cong(A,B,A,C) ) )),
% 6.90/1.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.90/1.29 fof(f72,axiom,(
% 6.90/1.29 (! [A,B,C,D] :( ( eqangle(A,B,C,D,C,D,A,B)& ~ para(A,B,C,D) )=> perp(A,B,C,D) ) )),
% 6.90/1.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.90/1.29 fof(f75,axiom,(
% 6.90/1.29 (! [A,B,C,D,P,Q,U,V] :( ( eqangle(A,B,C,D,P,Q,U,V)& perp(P,Q,U,V) )=> perp(A,B,C,D) ) )),
% 6.90/1.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.90/1.29 fof(f90,axiom,(
% 6.90/1.29 (! [A,B,C,D] :(? [O] :( ( perp(A,C,C,B)& cyclic(A,B,C,D) )=> circle(O,A,B,C) ) ))),
% 6.90/1.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.90/1.29 fof(f95,conjecture,(
% 6.90/1.29 (! [A,B,C,D,E,F,G,NWPNT1] :( ( circle(D,A,B,C)& circle(D,A,E,NWPNT1)& perp(F,E,A,C)& coll(F,A,C)& perp(G,E,A,B)& coll(G,A,B) )=> ( eqangle(F,E,E,G,C,E,E,B)& ( eqangle(E,F,F,G,E,C,C,B)| eqangle(F,E,E,G,C,E,E,B) )& ( eqangle(E,F,F,G,E,B,B,C)| eqangle(F,E,E,G,E,C,C,B) )& ( eqangle(E,F,F,G,C,E,E,B)| eqangle(F,E,E,G,E,C,C,B) )& ( eqangle(E,F,F,G,E,B,B,C)| eqangle(F,E,E,G,E,B,B,C) )& ( eqangle(E,F,F,G,C,E,E,B)| eqangle(F,E,E,G,E,B,B,C) )& eqangle(E,F,F,G,E,C,C,B) ) ) )),
% 6.90/1.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.90/1.29 fof(f96,negated_conjecture,(
% 6.90/1.29 ~((! [A,B,C,D,E,F,G,NWPNT1] :( ( circle(D,A,B,C)& circle(D,A,E,NWPNT1)& perp(F,E,A,C)& coll(F,A,C)& perp(G,E,A,B)& coll(G,A,B) )=> ( eqangle(F,E,E,G,C,E,E,B)& ( eqangle(E,F,F,G,E,C,C,B)| eqangle(F,E,E,G,C,E,E,B) )& ( eqangle(E,F,F,G,E,B,B,C)| eqangle(F,E,E,G,E,C,C,B) )& ( eqangle(E,F,F,G,C,E,E,B)| eqangle(F,E,E,G,E,C,C,B) )& ( eqangle(E,F,F,G,E,B,B,C)| eqangle(F,E,E,G,E,B,B,C) )& ( eqangle(E,F,F,G,C,E,E,B)| eqangle(F,E,E,G,E,B,B,C) )& eqangle(E,F,F,G,E,C,C,B) ) ) ))),
% 6.90/1.29 inference(negated_conjecture,[status(cth)],[f95])).
% 6.90/1.29 fof(f97,plain,(
% 6.90/1.29 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 6.90/1.29 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 6.90/1.29 fof(f98,plain,(
% 6.90/1.29 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 6.90/1.29 inference(cnf_transformation,[status(esa)],[f97])).
% 6.90/1.29 fof(f99,plain,(
% 6.90/1.29 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 6.90/1.29 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 6.90/1.29 fof(f100,plain,(
% 6.90/1.29 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 6.90/1.29 inference(cnf_transformation,[status(esa)],[f99])).
% 6.90/1.29 fof(f101,plain,(
% 6.90/1.29 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 6.90/1.29 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 6.90/1.29 fof(f102,plain,(
% 6.90/1.29 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 6.90/1.29 inference(miniscoping,[status(esa)],[f101])).
% 6.90/1.29 fof(f103,plain,(
% 6.90/1.29 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 6.90/1.29 inference(cnf_transformation,[status(esa)],[f102])).
% 6.90/1.29 fof(f111,plain,(
% 6.90/1.29 ![A,B,C,D]: (~perp(A,B,C,D)|perp(A,B,D,C))),
% 6.90/1.29 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 6.90/1.29 fof(f112,plain,(
% 6.90/1.29 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X0,X1,X3,X2))),
% 6.90/1.29 inference(cnf_transformation,[status(esa)],[f111])).
% 6.90/1.29 fof(f113,plain,(
% 6.90/1.29 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 6.90/1.29 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 6.90/1.29 fof(f114,plain,(
% 6.90/1.29 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 6.90/1.29 inference(cnf_transformation,[status(esa)],[f113])).
% 6.90/1.29 fof(f115,plain,(
% 6.90/1.29 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 6.90/1.29 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 6.90/1.29 fof(f116,plain,(
% 6.90/1.29 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 6.90/1.29 inference(miniscoping,[status(esa)],[f115])).
% 6.90/1.29 fof(f117,plain,(
% 6.90/1.29 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 6.90/1.29 inference(cnf_transformation,[status(esa)],[f116])).
% 6.90/1.29 fof(f121,plain,(
% 6.90/1.29 ![A,B,M]: (~midp(M,B,A)|midp(M,A,B))),
% 6.90/1.29 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 6.90/1.29 fof(f122,plain,(
% 6.90/1.29 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X0,X2,X1))),
% 6.90/1.29 inference(cnf_transformation,[status(esa)],[f121])).
% 6.90/1.29 fof(f123,plain,(
% 6.90/1.29 ![A,B,C,O]: ((~cong(O,A,O,B)|~cong(O,A,O,C))|circle(O,A,B,C))),
% 6.90/1.29 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 6.90/1.29 fof(f124,plain,(
% 6.90/1.29 ![X0,X1,X2,X3]: (~cong(X0,X1,X0,X2)|~cong(X0,X1,X0,X3)|circle(X0,X1,X2,X3))),
% 6.90/1.29 inference(cnf_transformation,[status(esa)],[f123])).
% 6.90/1.29 fof(f134,plain,(
% 6.90/1.29 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 6.90/1.29 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 6.90/1.29 fof(f135,plain,(
% 6.90/1.29 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 6.90/1.29 inference(miniscoping,[status(esa)],[f134])).
% 6.90/1.29 fof(f136,plain,(
% 6.90/1.29 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 6.90/1.29 inference(cnf_transformation,[status(esa)],[f135])).
% 6.90/1.29 fof(f137,plain,(
% 6.90/1.29 ![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))),
% 6.90/1.29 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 6.90/1.29 fof(f138,plain,(
% 6.90/1.29 ![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))),
% 6.90/1.29 inference(cnf_transformation,[status(esa)],[f137])).
% 6.90/1.29 fof(f141,plain,(
% 6.90/1.29 ![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))),
% 6.90/1.29 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 6.90/1.29 fof(f142,plain,(
% 6.90/1.29 ![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))),
% 6.90/1.29 inference(cnf_transformation,[status(esa)],[f141])).
% 6.90/1.29 fof(f143,plain,(
% 6.90/1.29 ![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))),
% 6.90/1.29 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 6.90/1.29 fof(f144,plain,(
% 6.90/1.29 ![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))),
% 6.90/1.29 inference(cnf_transformation,[status(esa)],[f143])).
% 6.90/1.29 fof(f145,plain,(
% 6.90/1.29 ![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))),
% 6.90/1.29 inference(pre_NNF_transformation,[status(esa)],[f22])).
% 6.90/1.29 fof(f146,plain,(
% 6.90/1.29 ![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))),
% 6.90/1.29 inference(miniscoping,[status(esa)],[f145])).
% 6.90/1.29 fof(f147,plain,(
% 6.90/1.29 ![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))),
% 6.90/1.29 inference(cnf_transformation,[status(esa)],[f146])).
% 6.90/1.29 fof(f152,plain,(
% 6.90/1.29 ![A,B,C,D,E,F]: ((~cong(A,B,C,D)|~cong(C,D,E,F))|cong(A,B,E,F))),
% 6.90/1.29 inference(pre_NNF_transformation,[status(esa)],[f25])).
% 6.90/1.29 fof(f153,plain,(
% 6.90/1.29 ![A,B,E,F]: ((![C,D]: (~cong(A,B,C,D)|~cong(C,D,E,F)))|cong(A,B,E,F))),
% 6.90/1.29 inference(miniscoping,[status(esa)],[f152])).
% 6.90/1.29 fof(f154,plain,(
% 6.90/1.29 ![X0,X1,X2,X3,X4,X5]: (~cong(X0,X1,X2,X3)|~cong(X2,X3,X4,X5)|cong(X0,X1,X4,X5))),
% 6.90/1.29 inference(cnf_transformation,[status(esa)],[f153])).
% 6.90/1.29 fof(f184,plain,(
% 6.90/1.29 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 6.90/1.29 inference(pre_NNF_transformation,[status(esa)],[f39])).
% 6.90/1.29 fof(f185,plain,(
% 6.90/1.29 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 6.90/1.29 inference(miniscoping,[status(esa)],[f184])).
% 6.90/1.29 fof(f186,plain,(
% 6.90/1.29 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 6.90/1.29 inference(cnf_transformation,[status(esa)],[f185])).
% 6.90/1.29 fof(f187,plain,(
% 6.90/1.29 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 6.90/1.29 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 6.90/1.29 fof(f188,plain,(
% 6.90/1.29 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 6.90/1.29 inference(miniscoping,[status(esa)],[f187])).
% 6.90/1.29 fof(f189,plain,(
% 6.90/1.29 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 6.90/1.29 inference(cnf_transformation,[status(esa)],[f188])).
% 6.90/1.29 fof(f190,plain,(
% 6.90/1.29 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 6.90/1.29 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 6.90/1.29 fof(f191,plain,(
% 6.90/1.29 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 6.90/1.29 inference(cnf_transformation,[status(esa)],[f190])).
% 6.90/1.29 fof(f192,plain,(
% 6.90/1.29 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|coll(P,Q,A))|cyclic(A,B,P,Q))),
% 6.90/1.29 inference(pre_NNF_transformation,[status(esa)],[f42])).
% 6.90/1.29 fof(f193,plain,(
% 6.90/1.29 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|coll(X0,X3,X1)|cyclic(X1,X2,X0,X3))),
% 6.90/1.29 inference(cnf_transformation,[status(esa)],[f192])).
% 6.90/1.29 fof(f194,plain,(
% 6.90/1.29 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 6.90/1.29 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 6.90/1.29 fof(f195,plain,(
% 6.90/1.29 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 6.90/1.29 inference(cnf_transformation,[status(esa)],[f194])).
% 6.90/1.29 fof(f196,plain,(
% 6.90/1.29 ![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))),
% 6.90/1.29 inference(pre_NNF_transformation,[status(esa)],[f44])).
% 6.90/1.29 fof(f197,plain,(
% 6.90/1.29 ![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))),
% 6.90/1.29 inference(miniscoping,[status(esa)],[f196])).
% 6.90/1.29 fof(f198,plain,(
% 6.90/1.29 ![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))),
% 6.90/1.29 inference(cnf_transformation,[status(esa)],[f197])).
% 6.90/1.29 fof(f209,plain,(
% 6.90/1.29 ![A,B,C,O,X]: ((~circle(O,A,B,C)|~perp(O,A,A,X))|eqangle(A,X,A,B,C,A,C,B))),
% 6.90/1.29 inference(pre_NNF_transformation,[status(esa)],[f49])).
% 6.90/1.29 fof(f210,plain,(
% 6.90/1.29 ![A,B,C,X]: ((![O]: (~circle(O,A,B,C)|~perp(O,A,A,X)))|eqangle(A,X,A,B,C,A,C,B))),
% 6.90/1.29 inference(miniscoping,[status(esa)],[f209])).
% 6.90/1.29 fof(f211,plain,(
% 6.90/1.29 ![X0,X1,X2,X3,X4]: (~circle(X0,X1,X2,X3)|~perp(X0,X1,X1,X4)|eqangle(X1,X4,X1,X2,X3,X1,X3,X2))),
% 6.90/1.29 inference(cnf_transformation,[status(esa)],[f210])).
% 6.90/1.29 fof(f217,plain,(
% 6.90/1.29 ![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))),
% 6.90/1.29 inference(pre_NNF_transformation,[status(esa)],[f52])).
% 6.90/1.29 fof(f218,plain,(
% 6.90/1.29 ![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))),
% 6.90/1.29 inference(miniscoping,[status(esa)],[f217])).
% 6.90/1.29 fof(f219,plain,(
% 6.90/1.29 ![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))),
% 6.90/1.29 inference(cnf_transformation,[status(esa)],[f218])).
% 6.90/1.29 fof(f220,plain,(
% 6.90/1.29 ![A,B,C,M]: ((~perp(A,B,B,C)|~midp(M,A,C))|cong(A,M,B,M))),
% 6.90/1.29 inference(pre_NNF_transformation,[status(esa)],[f53])).
% 6.90/1.29 fof(f221,plain,(
% 6.90/1.29 ![A,B,M]: ((![C]: (~perp(A,B,B,C)|~midp(M,A,C)))|cong(A,M,B,M))),
% 6.90/1.29 inference(miniscoping,[status(esa)],[f220])).
% 6.90/1.29 fof(f222,plain,(
% 6.90/1.29 ![X0,X1,X2,X3]: (~perp(X0,X1,X1,X2)|~midp(X3,X0,X2)|cong(X0,X3,X1,X3))),
% 6.90/1.29 inference(cnf_transformation,[status(esa)],[f221])).
% 6.90/1.29 fof(f223,plain,(
% 6.90/1.29 ![A,B,C,O]: ((~circle(O,A,B,C)|~coll(O,A,C))|perp(A,B,B,C))),
% 6.90/1.29 inference(pre_NNF_transformation,[status(esa)],[f54])).
% 6.90/1.29 fof(f224,plain,(
% 6.90/1.29 ![A,B,C]: ((![O]: (~circle(O,A,B,C)|~coll(O,A,C)))|perp(A,B,B,C))),
% 6.90/1.29 inference(miniscoping,[status(esa)],[f223])).
% 6.90/1.29 fof(f225,plain,(
% 6.90/1.29 ![X0,X1,X2,X3]: (~circle(X0,X1,X2,X3)|~coll(X0,X1,X3)|perp(X1,X2,X2,X3))),
% 6.90/1.29 inference(cnf_transformation,[status(esa)],[f224])).
% 6.90/1.29 fof(f228,plain,(
% 6.90/1.29 ![A,B,M,O]: ((~midp(M,A,B)|~perp(O,M,A,B))|cong(O,A,O,B))),
% 6.90/1.29 inference(pre_NNF_transformation,[status(esa)],[f56])).
% 6.90/1.29 fof(f229,plain,(
% 6.90/1.29 ![A,B,O]: ((![M]: (~midp(M,A,B)|~perp(O,M,A,B)))|cong(O,A,O,B))),
% 6.90/1.29 inference(miniscoping,[status(esa)],[f228])).
% 6.90/1.29 fof(f230,plain,(
% 6.90/1.29 ![X0,X1,X2,X3]: (~midp(X0,X1,X2)|~perp(X3,X0,X1,X2)|cong(X3,X1,X3,X2))),
% 6.90/1.29 inference(cnf_transformation,[status(esa)],[f229])).
% 6.90/1.29 fof(f231,plain,(
% 6.90/1.29 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 6.90/1.29 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 6.90/1.29 fof(f232,plain,(
% 6.90/1.29 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 6.90/1.29 inference(cnf_transformation,[status(esa)],[f231])).
% 6.90/1.29 fof(f233,plain,(
% 6.90/1.29 ![A,B,P,Q]: (((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q))|perp(P,A,A,Q))),
% 6.90/1.29 inference(pre_NNF_transformation,[status(esa)],[f58])).
% 6.90/1.29 fof(f234,plain,(
% 6.90/1.29 ![A,P,Q]: ((![B]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q)))|perp(P,A,A,Q))),
% 6.90/1.29 inference(miniscoping,[status(esa)],[f233])).
% 6.90/1.29 fof(f235,plain,(
% 6.90/1.29 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|~cyclic(X0,X2,X1,X3)|perp(X1,X0,X0,X3))),
% 6.90/1.29 inference(cnf_transformation,[status(esa)],[f234])).
% 6.90/1.29 fof(f255,plain,(
% 6.90/1.29 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 6.90/1.29 inference(pre_NNF_transformation,[status(esa)],[f67])).
% 6.90/1.29 fof(f256,plain,(
% 6.90/1.29 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 6.90/1.29 inference(cnf_transformation,[status(esa)],[f255])).
% 6.90/1.29 fof(f257,plain,(
% 6.90/1.29 ![A,B,C]: ((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))),
% 6.90/1.29 inference(pre_NNF_transformation,[status(esa)],[f68])).
% 6.90/1.29 fof(f258,plain,(
% 6.90/1.29 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|~coll(X0,X1,X2)|midp(X0,X1,X2))),
% 6.90/1.29 inference(cnf_transformation,[status(esa)],[f257])).
% 6.90/1.29 fof(f259,plain,(
% 6.90/1.29 ![A,B,C]: (~midp(A,B,C)|cong(A,B,A,C))),
% 6.90/1.29 inference(pre_NNF_transformation,[status(esa)],[f69])).
% 6.90/1.29 fof(f260,plain,(
% 6.90/1.29 ![X0,X1,X2]: (~midp(X0,X1,X2)|cong(X0,X1,X0,X2))),
% 6.90/1.29 inference(cnf_transformation,[status(esa)],[f259])).
% 6.90/1.29 fof(f265,plain,(
% 6.90/1.29 ![A,B,C,D]: ((~eqangle(A,B,C,D,C,D,A,B)|para(A,B,C,D))|perp(A,B,C,D))),
% 6.90/1.29 inference(pre_NNF_transformation,[status(esa)],[f72])).
% 6.90/1.29 fof(f266,plain,(
% 6.90/1.29 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X2,X3,X2,X3,X0,X1)|para(X0,X1,X2,X3)|perp(X0,X1,X2,X3))),
% 6.90/1.29 inference(cnf_transformation,[status(esa)],[f265])).
% 6.90/1.29 fof(f272,plain,(
% 6.90/1.29 ![A,B,C,D,P,Q,U,V]: ((~eqangle(A,B,C,D,P,Q,U,V)|~perp(P,Q,U,V))|perp(A,B,C,D))),
% 6.90/1.29 inference(pre_NNF_transformation,[status(esa)],[f75])).
% 6.90/1.29 fof(f273,plain,(
% 6.90/1.29 ![A,B,C,D]: ((![P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|~perp(P,Q,U,V)))|perp(A,B,C,D))),
% 6.90/1.29 inference(miniscoping,[status(esa)],[f272])).
% 6.90/1.29 fof(f274,plain,(
% 6.90/1.29 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|~perp(X4,X5,X6,X7)|perp(X0,X1,X2,X3))),
% 6.90/1.29 inference(cnf_transformation,[status(esa)],[f273])).
% 6.90/1.29 fof(f346,plain,(
% 6.90/1.29 ![A,B,C,D]: (?[O]: ((~perp(A,C,C,B)|~cyclic(A,B,C,D))|circle(O,A,B,C)))),
% 6.90/1.29 inference(pre_NNF_transformation,[status(esa)],[f90])).
% 6.90/1.29 fof(f347,plain,(
% 6.90/1.29 ![A,B,C]: ((~perp(A,C,C,B)|(![D]: ~cyclic(A,B,C,D)))|(?[O]: circle(O,A,B,C)))),
% 6.90/1.29 inference(miniscoping,[status(esa)],[f346])).
% 6.90/1.29 fof(f348,plain,(
% 6.90/1.29 ![A,B,C]: ((~perp(A,C,C,B)|(![D]: ~cyclic(A,B,C,D)))|circle(sk0_15(C,B,A),A,B,C))),
% 6.90/1.29 inference(skolemization,[status(esa)],[f347])).
% 6.90/1.29 fof(f349,plain,(
% 6.90/1.29 ![X0,X1,X2,X3]: (~perp(X0,X1,X1,X2)|~cyclic(X0,X2,X1,X3)|circle(sk0_15(X1,X2,X0),X0,X2,X1))),
% 6.90/1.29 inference(cnf_transformation,[status(esa)],[f348])).
% 6.90/1.29 fof(f369,plain,(
% 6.90/1.29 (?[A,B,C,D,E,F,G,NWPNT1]: ((((((circle(D,A,B,C)&circle(D,A,E,NWPNT1))&perp(F,E,A,C))&coll(F,A,C))&perp(G,E,A,B))&coll(G,A,B))&((((((~eqangle(F,E,E,G,C,E,E,B)|(~eqangle(E,F,F,G,E,C,C,B)&~eqangle(F,E,E,G,C,E,E,B)))|(~eqangle(E,F,F,G,E,B,B,C)&~eqangle(F,E,E,G,E,C,C,B)))|(~eqangle(E,F,F,G,C,E,E,B)&~eqangle(F,E,E,G,E,C,C,B)))|(~eqangle(E,F,F,G,E,B,B,C)&~eqangle(F,E,E,G,E,B,B,C)))|(~eqangle(E,F,F,G,C,E,E,B)&~eqangle(F,E,E,G,E,B,B,C)))|~eqangle(E,F,F,G,E,C,C,B))))),
% 6.90/1.29 inference(pre_NNF_transformation,[status(esa)],[f96])).
% 6.90/1.29 fof(f370,plain,(
% 6.90/1.29 ![B,C,E,F,G]: (pd0_0(G,F,E,C,B)=>(~eqangle(E,F,F,G,E,C,C,B)&~eqangle(F,E,E,G,C,E,E,B)))),
% 6.90/1.29 introduced(predicate_definition,[f369])).
% 6.90/1.29 fof(f371,plain,(
% 6.90/1.29 ![B,C,E,F,G]: (pd0_1(G,F,E,C,B)=>(~eqangle(E,F,F,G,E,B,B,C)&~eqangle(F,E,E,G,E,C,C,B)))),
% 6.90/1.30 introduced(predicate_definition,[f369])).
% 6.90/1.30 fof(f372,plain,(
% 6.90/1.30 ![B,C,E,F,G]: (pd0_2(G,F,E,C,B)=>(~eqangle(E,F,F,G,C,E,E,B)&~eqangle(F,E,E,G,E,C,C,B)))),
% 6.90/1.30 introduced(predicate_definition,[f369])).
% 6.90/1.30 fof(f373,plain,(
% 6.90/1.30 ![B,C,E,F,G]: (pd0_3(G,F,E,C,B)=>(~eqangle(E,F,F,G,E,B,B,C)&~eqangle(F,E,E,G,E,B,B,C)))),
% 6.90/1.30 introduced(predicate_definition,[f369])).
% 6.90/1.30 fof(f374,plain,(
% 6.90/1.30 ?[A,B,C,D,E,F,G,NWPNT1]: ((((((circle(D,A,B,C)&circle(D,A,E,NWPNT1))&perp(F,E,A,C))&coll(F,A,C))&perp(G,E,A,B))&coll(G,A,B))&((((((~eqangle(F,E,E,G,C,E,E,B)|pd0_0(G,F,E,C,B))|pd0_1(G,F,E,C,B))|pd0_2(G,F,E,C,B))|pd0_3(G,F,E,C,B))|(~eqangle(E,F,F,G,C,E,E,B)&~eqangle(F,E,E,G,E,B,B,C)))|~eqangle(E,F,F,G,E,C,C,B)))),
% 6.90/1.30 inference(formula_renaming,[status(thm)],[f369,f373,f372,f371,f370])).
% 6.90/1.30 fof(f375,plain,(
% 6.90/1.30 ?[B,C,E,F,G]: ((?[A]: (((((?[D]: (circle(D,A,B,C)&(?[NWPNT1]: circle(D,A,E,NWPNT1))))&perp(F,E,A,C))&coll(F,A,C))&perp(G,E,A,B))&coll(G,A,B)))&((((((~eqangle(F,E,E,G,C,E,E,B)|pd0_0(G,F,E,C,B))|pd0_1(G,F,E,C,B))|pd0_2(G,F,E,C,B))|pd0_3(G,F,E,C,B))|(~eqangle(E,F,F,G,C,E,E,B)&~eqangle(F,E,E,G,E,B,B,C)))|~eqangle(E,F,F,G,E,C,C,B)))),
% 6.90/1.30 inference(miniscoping,[status(esa)],[f374])).
% 6.90/1.30 fof(f376,plain,(
% 6.90/1.30 ((((((circle(sk0_26,sk0_25,sk0_20,sk0_21)&circle(sk0_26,sk0_25,sk0_22,sk0_27))&perp(sk0_23,sk0_22,sk0_25,sk0_21))&coll(sk0_23,sk0_25,sk0_21))&perp(sk0_24,sk0_22,sk0_25,sk0_20))&coll(sk0_24,sk0_25,sk0_20))&((((((~eqangle(sk0_23,sk0_22,sk0_22,sk0_24,sk0_21,sk0_22,sk0_22,sk0_20)|pd0_0(sk0_24,sk0_23,sk0_22,sk0_21,sk0_20))|pd0_1(sk0_24,sk0_23,sk0_22,sk0_21,sk0_20))|pd0_2(sk0_24,sk0_23,sk0_22,sk0_21,sk0_20))|pd0_3(sk0_24,sk0_23,sk0_22,sk0_21,sk0_20))|(~eqangle(sk0_22,sk0_23,sk0_23,sk0_24,sk0_21,sk0_22,sk0_22,sk0_20)&~eqangle(sk0_23,sk0_22,sk0_22,sk0_24,sk0_22,sk0_20,sk0_20,sk0_21)))|~eqangle(sk0_22,sk0_23,sk0_23,sk0_24,sk0_22,sk0_21,sk0_21,sk0_20)))),
% 6.90/1.30 inference(skolemization,[status(esa)],[f375])).
% 6.90/1.30 fof(f381,plain,(
% 6.90/1.30 perp(sk0_24,sk0_22,sk0_25,sk0_20)),
% 6.90/1.30 inference(cnf_transformation,[status(esa)],[f376])).
% 6.90/1.30 fof(f383,plain,(
% 6.90/1.30 ~eqangle(sk0_23,sk0_22,sk0_22,sk0_24,sk0_21,sk0_22,sk0_22,sk0_20)|pd0_0(sk0_24,sk0_23,sk0_22,sk0_21,sk0_20)|pd0_1(sk0_24,sk0_23,sk0_22,sk0_21,sk0_20)|pd0_2(sk0_24,sk0_23,sk0_22,sk0_21,sk0_20)|pd0_3(sk0_24,sk0_23,sk0_22,sk0_21,sk0_20)|~eqangle(sk0_22,sk0_23,sk0_23,sk0_24,sk0_21,sk0_22,sk0_22,sk0_20)|~eqangle(sk0_22,sk0_23,sk0_23,sk0_24,sk0_22,sk0_21,sk0_21,sk0_20)),
% 6.90/1.30 inference(cnf_transformation,[status(esa)],[f376])).
% 6.90/1.30 fof(f385,plain,(
% 6.90/1.30 ![B,C,E,F,G]: (~pd0_0(G,F,E,C,B)|(~eqangle(E,F,F,G,E,C,C,B)&~eqangle(F,E,E,G,C,E,E,B)))),
% 6.90/1.30 inference(pre_NNF_transformation,[status(esa)],[f370])).
% 6.90/1.30 fof(f387,plain,(
% 6.90/1.30 ![X0,X1,X2,X3,X4]: (~pd0_0(X0,X1,X2,X3,X4)|~eqangle(X1,X2,X2,X0,X3,X2,X2,X4))),
% 6.90/1.30 inference(cnf_transformation,[status(esa)],[f385])).
% 6.90/1.30 fof(f388,plain,(
% 6.90/1.30 ![B,C,E,F,G]: (~pd0_1(G,F,E,C,B)|(~eqangle(E,F,F,G,E,B,B,C)&~eqangle(F,E,E,G,E,C,C,B)))),
% 6.90/1.30 inference(pre_NNF_transformation,[status(esa)],[f371])).
% 6.90/1.30 fof(f390,plain,(
% 6.90/1.30 ![X0,X1,X2,X3,X4]: (~pd0_1(X0,X1,X2,X3,X4)|~eqangle(X1,X2,X2,X0,X2,X3,X3,X4))),
% 6.90/1.30 inference(cnf_transformation,[status(esa)],[f388])).
% 6.90/1.30 fof(f391,plain,(
% 6.90/1.30 ![B,C,E,F,G]: (~pd0_2(G,F,E,C,B)|(~eqangle(E,F,F,G,C,E,E,B)&~eqangle(F,E,E,G,E,C,C,B)))),
% 6.90/1.30 inference(pre_NNF_transformation,[status(esa)],[f372])).
% 6.90/1.30 fof(f393,plain,(
% 6.90/1.30 ![X0,X1,X2,X3,X4]: (~pd0_2(X0,X1,X2,X3,X4)|~eqangle(X1,X2,X2,X0,X2,X3,X3,X4))),
% 6.90/1.30 inference(cnf_transformation,[status(esa)],[f391])).
% 6.90/1.30 fof(f394,plain,(
% 6.90/1.30 ![B,C,E,F,G]: (~pd0_3(G,F,E,C,B)|(~eqangle(E,F,F,G,E,B,B,C)&~eqangle(F,E,E,G,E,B,B,C)))),
% 6.90/1.30 inference(pre_NNF_transformation,[status(esa)],[f373])).
% 6.90/1.30 fof(f396,plain,(
% 6.90/1.30 ![X0,X1,X2,X3,X4]: (~pd0_3(X0,X1,X2,X3,X4)|~eqangle(X1,X2,X2,X0,X2,X4,X4,X3))),
% 6.90/1.30 inference(cnf_transformation,[status(esa)],[f394])).
% 6.90/1.30 fof(f397,plain,(
% 6.90/1.30 spl0_0 <=> eqangle(sk0_23,sk0_22,sk0_22,sk0_24,sk0_21,sk0_22,sk0_22,sk0_20)),
% 6.90/1.30 introduced(split_symbol_definition)).
% 6.90/1.30 fof(f399,plain,(
% 6.90/1.30 ~eqangle(sk0_23,sk0_22,sk0_22,sk0_24,sk0_21,sk0_22,sk0_22,sk0_20)|spl0_0),
% 6.90/1.30 inference(component_clause,[status(thm)],[f397])).
% 6.90/1.30 fof(f400,plain,(
% 6.90/1.30 spl0_1 <=> pd0_0(sk0_24,sk0_23,sk0_22,sk0_21,sk0_20)),
% 6.90/1.30 introduced(split_symbol_definition)).
% 6.90/1.30 fof(f401,plain,(
% 6.90/1.30 pd0_0(sk0_24,sk0_23,sk0_22,sk0_21,sk0_20)|~spl0_1),
% 6.90/1.30 inference(component_clause,[status(thm)],[f400])).
% 6.90/1.30 fof(f403,plain,(
% 6.90/1.30 spl0_2 <=> pd0_1(sk0_24,sk0_23,sk0_22,sk0_21,sk0_20)),
% 6.90/1.30 introduced(split_symbol_definition)).
% 6.90/1.30 fof(f404,plain,(
% 6.90/1.30 pd0_1(sk0_24,sk0_23,sk0_22,sk0_21,sk0_20)|~spl0_2),
% 6.90/1.30 inference(component_clause,[status(thm)],[f403])).
% 6.90/1.30 fof(f406,plain,(
% 6.90/1.30 spl0_3 <=> pd0_2(sk0_24,sk0_23,sk0_22,sk0_21,sk0_20)),
% 6.90/1.30 introduced(split_symbol_definition)).
% 6.90/1.30 fof(f407,plain,(
% 6.90/1.30 pd0_2(sk0_24,sk0_23,sk0_22,sk0_21,sk0_20)|~spl0_3),
% 6.90/1.30 inference(component_clause,[status(thm)],[f406])).
% 6.90/1.30 fof(f409,plain,(
% 6.90/1.30 spl0_4 <=> pd0_3(sk0_24,sk0_23,sk0_22,sk0_21,sk0_20)),
% 6.90/1.30 introduced(split_symbol_definition)).
% 6.90/1.30 fof(f410,plain,(
% 6.90/1.30 pd0_3(sk0_24,sk0_23,sk0_22,sk0_21,sk0_20)|~spl0_4),
% 6.90/1.30 inference(component_clause,[status(thm)],[f409])).
% 6.90/1.30 fof(f412,plain,(
% 6.90/1.30 spl0_5 <=> eqangle(sk0_22,sk0_23,sk0_23,sk0_24,sk0_21,sk0_22,sk0_22,sk0_20)),
% 6.90/1.30 introduced(split_symbol_definition)).
% 6.90/1.30 fof(f414,plain,(
% 6.90/1.30 ~eqangle(sk0_22,sk0_23,sk0_23,sk0_24,sk0_21,sk0_22,sk0_22,sk0_20)|spl0_5),
% 6.90/1.30 inference(component_clause,[status(thm)],[f412])).
% 6.90/1.30 fof(f415,plain,(
% 6.90/1.30 spl0_6 <=> eqangle(sk0_22,sk0_23,sk0_23,sk0_24,sk0_22,sk0_21,sk0_21,sk0_20)),
% 6.90/1.30 introduced(split_symbol_definition)).
% 6.90/1.30 fof(f417,plain,(
% 6.90/1.30 ~eqangle(sk0_22,sk0_23,sk0_23,sk0_24,sk0_22,sk0_21,sk0_21,sk0_20)|spl0_6),
% 6.90/1.30 inference(component_clause,[status(thm)],[f415])).
% 6.90/1.30 fof(f418,plain,(
% 6.90/1.30 ~spl0_0|spl0_1|spl0_2|spl0_3|spl0_4|~spl0_5|~spl0_6),
% 6.90/1.30 inference(split_clause,[status(thm)],[f383,f397,f400,f403,f406,f409,f412,f415])).
% 6.90/1.30 fof(f464,plain,(
% 6.90/1.30 perp(sk0_25,sk0_20,sk0_24,sk0_22)),
% 6.90/1.30 inference(resolution,[status(thm)],[f114,f381])).
% 6.90/1.30 fof(f477,plain,(
% 6.90/1.30 ![X0,X1]: (~perp(X0,X1,sk0_25,sk0_20)|para(X0,X1,sk0_24,sk0_22))),
% 6.90/1.30 inference(resolution,[status(thm)],[f117,f464])).
% 6.90/1.30 fof(f623,plain,(
% 6.90/1.30 ![X0,X1,X2,X3]: (~cong(X0,X1,X0,X2)|circle(X0,X1,X2,X3)|~midp(X0,X1,X3))),
% 6.90/1.30 inference(resolution,[status(thm)],[f124,f260])).
% 6.90/1.30 fof(f804,plain,(
% 6.90/1.30 para(sk0_24,sk0_22,sk0_24,sk0_22)),
% 6.90/1.30 inference(resolution,[status(thm)],[f477,f381])).
% 6.90/1.30 fof(f1064,plain,(
% 6.90/1.30 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~circle(X0,X1,X2,X3)|~perp(X0,X1,X1,X4)|~eqangle(X5,X6,X7,X8,X1,X4,X1,X2)|eqangle(X5,X6,X7,X8,X3,X1,X3,X2))),
% 6.90/1.30 inference(resolution,[status(thm)],[f211,f147])).
% 6.90/1.30 fof(f1066,plain,(
% 6.90/1.30 ![X0,X1,X2,X3,X4]: (~circle(X0,X1,X2,X3)|~perp(X0,X1,X1,X4)|eqangle(X3,X1,X3,X2,X1,X4,X1,X2))),
% 6.90/1.30 inference(resolution,[status(thm)],[f211,f142])).
% 6.90/1.30 fof(f2441,plain,(
% 6.90/1.30 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X2,X3,X4,X5,X4,X5))),
% 6.90/1.30 inference(resolution,[status(thm)],[f189,f144])).
% 6.90/1.30 fof(f2453,plain,(
% 6.90/1.30 ![X0,X1,X2]: (~cyclic(X0,X1,X2,X2)|para(X2,X0,X2,X0))),
% 6.90/1.30 inference(resolution,[status(thm)],[f191,f186])).
% 6.90/1.30 fof(f2456,plain,(
% 6.90/1.30 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|~circle(X3,X2,X0,X1)|~coll(X1,X0,X1)|midp(X1,X0,X1))),
% 6.90/1.30 inference(resolution,[status(thm)],[f191,f219])).
% 6.90/1.30 fof(f2459,plain,(
% 6.90/1.30 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X3,X0,X2,X1,X3,X1))),
% 6.90/1.30 inference(resolution,[status(thm)],[f191,f144])).
% 6.90/1.30 fof(f2463,plain,(
% 6.90/1.30 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X0,X2,X2,X1,X3,X0,X3,X1))),
% 6.90/1.30 inference(resolution,[status(thm)],[f191,f138])).
% 6.90/1.30 fof(f2682,plain,(
% 6.90/1.30 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~circle(X0,X1,X2,X3)|~perp(X0,X1,X1,X4)|~eqangle(X5,X6,X7,X8,X3,X1,X3,X2)|eqangle(X5,X6,X7,X8,X1,X4,X1,X2))),
% 6.90/1.30 inference(resolution,[status(thm)],[f1066,f147])).
% 6.90/1.30 fof(f3182,plain,(
% 6.90/1.30 ![X0,X1,X2,X3,X4]: (~para(X0,X1,X0,X2)|~cyclic(X1,X2,X0,X3)|~cyclic(X1,X2,X0,X3)|~cyclic(X1,X2,X0,X4)|cong(X1,X2,X3,X3))),
% 6.90/1.30 inference(resolution,[status(thm)],[f2441,f198])).
% 6.90/1.30 fof(f3183,plain,(
% 6.90/1.30 ![X0,X1,X2,X3,X4]: (~para(X0,X1,X0,X2)|~cyclic(X1,X2,X0,X3)|~cyclic(X1,X2,X0,X4)|cong(X1,X2,X3,X3))),
% 6.90/1.30 inference(duplicate_literals_removal,[status(esa)],[f3182])).
% 6.90/1.30 fof(f3184,plain,(
% 6.90/1.30 ![X0,X1,X2]: (~para(X0,X1,X0,X1)|~coll(X0,X2,X1)|cyclic(X1,X1,X0,X2))),
% 6.90/1.30 inference(resolution,[status(thm)],[f2441,f195])).
% 6.90/1.30 fof(f3185,plain,(
% 6.90/1.30 ![X0,X1,X2]: (~para(X0,X1,X0,X1)|coll(X0,X2,X1)|cyclic(X1,X1,X0,X2))),
% 6.90/1.30 inference(resolution,[status(thm)],[f2441,f193])).
% 6.90/1.30 fof(f3186,plain,(
% 6.90/1.30 ![X0,X1,X2]: (~para(X0,X1,X0,X1)|cyclic(X1,X1,X0,X2))),
% 6.90/1.30 inference(forward_subsumption_resolution,[status(thm)],[f3185,f3184])).
% 6.90/1.30 fof(f3187,plain,(
% 6.90/1.30 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~para(X0,X1,X2,X3)|~circle(X4,X5,X6,X7)|~perp(X4,X5,X5,X6)|eqangle(X0,X1,X2,X3,X7,X5,X7,X6))),
% 6.90/1.30 inference(resolution,[status(thm)],[f2441,f1064])).
% 6.90/1.30 fof(f3188,plain,(
% 6.90/1.30 spl0_76 <=> ~para(X0,X1,X2,X3)|perp(X0,X1,X2,X3)),
% 6.90/1.30 introduced(split_symbol_definition)).
% 6.90/1.30 fof(f3189,plain,(
% 6.90/1.30 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|perp(X0,X1,X2,X3)|~spl0_76)),
% 6.90/1.30 inference(component_clause,[status(thm)],[f3188])).
% 6.90/1.30 fof(f3191,plain,(
% 6.90/1.30 spl0_77 <=> ~perp(X4,X5,X4,X5)),
% 6.90/1.30 introduced(split_symbol_definition)).
% 6.90/1.30 fof(f3192,plain,(
% 6.90/1.30 ![X0,X1]: (~perp(X0,X1,X0,X1)|~spl0_77)),
% 6.90/1.30 inference(component_clause,[status(thm)],[f3191])).
% 6.90/1.30 fof(f3194,plain,(
% 6.90/1.30 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|~perp(X4,X5,X4,X5)|perp(X0,X1,X2,X3))),
% 6.90/1.30 inference(resolution,[status(thm)],[f2441,f274])).
% 6.90/1.30 fof(f3195,plain,(
% 6.90/1.30 spl0_76|spl0_77),
% 6.90/1.30 inference(split_clause,[status(thm)],[f3194,f3188,f3191])).
% 6.90/1.30 fof(f3211,plain,(
% 6.90/1.30 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X2,X3,X2,X3,X0,X1)|perp(X0,X1,X2,X3)|~spl0_76)),
% 6.90/1.30 inference(backward_subsumption_resolution,[status(thm)],[f266,f3189])).
% 6.90/1.30 fof(f3215,plain,(
% 6.90/1.30 ![X0,X1]: (perp(X0,X1,X0,X1)|~cyclic(X1,X1,X0,X0)|~spl0_76)),
% 6.90/1.30 inference(resolution,[status(thm)],[f3211,f191])).
% 6.90/1.30 fof(f3225,plain,(
% 6.90/1.30 ![X0]: (cyclic(sk0_22,sk0_22,sk0_24,X0))),
% 6.90/1.30 inference(resolution,[status(thm)],[f3186,f804])).
% 6.90/1.30 fof(f3235,plain,(
% 6.90/1.30 ![X0,X1]: (~cyclic(sk0_22,sk0_22,sk0_24,X0)|cyclic(sk0_22,sk0_24,X0,X1))),
% 6.90/1.30 inference(resolution,[status(thm)],[f3225,f136])).
% 6.90/1.30 fof(f3236,plain,(
% 6.90/1.30 ![X0,X1]: (cyclic(sk0_22,sk0_24,X0,X1))),
% 6.90/1.30 inference(forward_subsumption_resolution,[status(thm)],[f3235,f3225])).
% 6.90/1.30 fof(f3241,plain,(
% 6.90/1.30 ![X0,X1,X2]: (~cyclic(sk0_22,sk0_24,X0,X1)|cyclic(sk0_24,X0,X1,X2))),
% 6.90/1.30 inference(resolution,[status(thm)],[f3236,f136])).
% 6.90/1.30 fof(f3242,plain,(
% 6.90/1.30 ![X0,X1,X2]: (cyclic(sk0_24,X0,X1,X2))),
% 6.90/1.30 inference(forward_subsumption_resolution,[status(thm)],[f3241,f3236])).
% 6.90/1.30 fof(f3248,plain,(
% 6.90/1.30 ![X0,X1,X2,X3]: (~cyclic(sk0_24,X0,X1,X2)|cyclic(X0,X1,X2,X3))),
% 6.90/1.30 inference(resolution,[status(thm)],[f3242,f136])).
% 6.90/1.30 fof(f3249,plain,(
% 6.90/1.30 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3))),
% 6.90/1.30 inference(forward_subsumption_resolution,[status(thm)],[f3248,f3242])).
% 6.90/1.30 fof(f3253,plain,(
% 6.90/1.30 ![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))),
% 6.90/1.30 inference(backward_subsumption_resolution,[status(thm)],[f198,f3249])).
% 6.90/1.30 fof(f3254,plain,(
% 6.90/1.30 ![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))),
% 6.90/1.30 inference(forward_subsumption_resolution,[status(thm)],[f3253,f3249])).
% 6.90/1.30 fof(f3261,plain,(
% 6.90/1.30 ![X0,X1]: (perp(X0,X1,X0,X1)|~spl0_76)),
% 6.90/1.30 inference(backward_subsumption_resolution,[status(thm)],[f3215,f3249])).
% 6.90/1.30 fof(f3262,plain,(
% 6.90/1.30 ![X0,X1]: (para(X0,X1,X0,X1))),
% 6.90/1.30 inference(backward_subsumption_resolution,[status(thm)],[f2453,f3249])).
% 6.90/1.30 fof(f3263,plain,(
% 6.90/1.30 ![X0,X1,X2,X3,X4]: (~para(X0,X1,X0,X2)|~cyclic(X1,X2,X0,X3)|cong(X1,X2,X4,X4))),
% 6.90/1.30 inference(backward_subsumption_resolution,[status(thm)],[f3183,f3249])).
% 6.90/1.30 fof(f3264,plain,(
% 6.90/1.30 ![X0,X1,X2,X3]: (~para(X0,X1,X0,X2)|cong(X1,X2,X3,X3))),
% 6.90/1.30 inference(forward_subsumption_resolution,[status(thm)],[f3263,f3249])).
% 6.90/1.30 fof(f3279,plain,(
% 6.90/1.30 ![X0,X1,X2,X3]: (eqangle(X0,X1,X1,X2,X3,X0,X3,X2))),
% 6.90/1.30 inference(backward_subsumption_resolution,[status(thm)],[f2463,f3249])).
% 6.90/1.30 fof(f3282,plain,(
% 6.90/1.30 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X1,X0,X3,X2,X3))),
% 6.90/1.30 inference(backward_subsumption_resolution,[status(thm)],[f2459,f3249])).
% 6.90/1.30 fof(f3285,plain,(
% 6.90/1.30 ![X0,X1,X2,X3]: (~circle(X0,X1,X2,X3)|~coll(X3,X2,X3)|midp(X3,X2,X3))),
% 6.90/1.30 inference(backward_subsumption_resolution,[status(thm)],[f2456,f3249])).
% 6.90/1.30 fof(f3288,plain,(
% 6.90/1.30 ![X0,X1,X2]: (~perp(X0,X1,X1,X2)|circle(sk0_15(X1,X2,X0),X0,X2,X1))),
% 6.90/1.30 inference(backward_subsumption_resolution,[status(thm)],[f349,f3249])).
% 6.90/1.30 fof(f3290,plain,(
% 6.90/1.30 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X1,X0,X0,X3))),
% 6.90/1.30 inference(backward_subsumption_resolution,[status(thm)],[f235,f3249])).
% 6.90/1.30 fof(f3316,plain,(
% 6.90/1.30 ![X0,X1]: (coll(X0,X1,X1))),
% 6.90/1.30 inference(resolution,[status(thm)],[f3262,f256])).
% 6.90/1.30 fof(f3498,plain,(
% 6.90/1.30 ![X0,X1]: (coll(X0,X1,X0))),
% 6.90/1.30 inference(resolution,[status(thm)],[f3316,f100])).
% 6.90/1.30 fof(f3500,plain,(
% 6.90/1.30 ![X0,X1,X2,X3]: (~circle(X0,X1,X2,X3)|midp(X3,X2,X3))),
% 6.90/1.30 inference(backward_subsumption_resolution,[status(thm)],[f3285,f3498])).
% 6.90/1.30 fof(f3653,plain,(
% 6.90/1.30 ![X0,X1]: (coll(X0,X0,X1))),
% 6.90/1.30 inference(resolution,[status(thm)],[f3498,f98])).
% 6.90/1.30 fof(f3688,plain,(
% 6.90/1.30 ![X0,X1,X2]: (~coll(X0,X0,X1)|coll(X1,X2,X0))),
% 6.90/1.30 inference(resolution,[status(thm)],[f3653,f103])).
% 6.90/1.30 fof(f3689,plain,(
% 6.90/1.30 ![X0,X1,X2]: (coll(X0,X1,X2))),
% 6.90/1.30 inference(forward_subsumption_resolution,[status(thm)],[f3688,f3653])).
% 6.90/1.30 fof(f3692,plain,(
% 6.90/1.30 ![X0,X1,X2,X3]: (~circle(X0,X1,X2,X3)|perp(X1,X2,X2,X3))),
% 6.90/1.30 inference(backward_subsumption_resolution,[status(thm)],[f225,f3689])).
% 6.90/1.30 fof(f3700,plain,(
% 6.90/1.30 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|midp(X0,X1,X2))),
% 6.90/1.30 inference(backward_subsumption_resolution,[status(thm)],[f258,f3689])).
% 6.90/1.30 fof(f3756,plain,(
% 6.90/1.30 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X1,X3,X3,X2))),
% 6.90/1.30 inference(resolution,[status(thm)],[f3279,f142])).
% 6.90/1.30 fof(f3767,plain,(
% 6.90/1.30 ![X0,X1,X2]: (~cyclic(X0,X0,X1,X1)|cong(X0,X0,X2,X2))),
% 6.90/1.30 inference(resolution,[status(thm)],[f3282,f3254])).
% 6.90/1.30 fof(f3768,plain,(
% 6.90/1.30 ![X0,X1]: (cong(X0,X0,X1,X1))),
% 6.90/1.30 inference(forward_subsumption_resolution,[status(thm)],[f3767,f3249])).
% 6.90/1.30 fof(f3787,plain,(
% 6.90/1.30 ![X0,X1]: (circle(X0,X0,X0,X1)|~midp(X0,X0,X1))),
% 6.90/1.30 inference(resolution,[status(thm)],[f3768,f623])).
% 6.90/1.30 fof(f3875,plain,(
% 6.90/1.30 ![X0,X1]: (perp(X0,X1,X1,X0)|~spl0_76)),
% 6.90/1.30 inference(resolution,[status(thm)],[f3261,f112])).
% 6.90/1.30 fof(f3892,plain,(
% 6.90/1.30 ![X0,X1,X2]: (~midp(X0,X1,X1)|cong(X1,X0,X2,X0)|~spl0_76)),
% 6.90/1.30 inference(resolution,[status(thm)],[f3875,f222])).
% 6.90/1.30 fof(f4123,plain,(
% 6.90/1.30 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X4,X6)|eqangle(X0,X1,X2,X3,X5,X7,X7,X6))),
% 6.90/1.30 inference(resolution,[status(thm)],[f3756,f147])).
% 6.90/1.30 fof(f4558,plain,(
% 6.90/1.30 ![X0,X1]: (~midp(X0,X1,X0)|cong(X1,X1,X1,X0)|~spl0_76)),
% 6.90/1.30 inference(resolution,[status(thm)],[f230,f3261])).
% 6.90/1.30 fof(f4683,plain,(
% 6.90/1.30 ![X0,X1,X2]: (midp(X0,X1,X0)|~perp(X2,X0,X0,X1))),
% 6.90/1.30 inference(resolution,[status(thm)],[f3500,f3288])).
% 6.90/1.30 fof(f4693,plain,(
% 6.90/1.30 ![X0]: (midp(X0,X0,X0))),
% 6.90/1.30 inference(resolution,[status(thm)],[f3700,f3768])).
% 6.90/1.30 fof(f4711,plain,(
% 6.90/1.30 ![X0,X1]: (perp(X0,X0,X0,X1)|~midp(X0,X0,X1))),
% 6.90/1.30 inference(resolution,[status(thm)],[f3692,f3787])).
% 6.90/1.30 fof(f4867,plain,(
% 6.90/1.30 ![X0]: (~midp(X0,X0,X0)|~spl0_77)),
% 6.90/1.30 inference(resolution,[status(thm)],[f4711,f3192])).
% 6.90/1.30 fof(f4868,plain,(
% 6.90/1.30 $false|~spl0_77),
% 6.90/1.30 inference(forward_subsumption_resolution,[status(thm)],[f4867,f4693])).
% 6.90/1.30 fof(f4869,plain,(
% 6.90/1.30 ~spl0_77),
% 6.90/1.30 inference(contradiction_clause,[status(thm)],[f4868])).
% 6.90/1.30 fof(f4876,plain,(
% 6.90/1.30 ![X0,X1]: (~midp(X0,X0,X1)|perp(X0,X0,X1,X0))),
% 6.90/1.30 inference(resolution,[status(thm)],[f4711,f112])).
% 6.90/1.30 fof(f4938,plain,(
% 6.90/1.30 ![X0,X1]: (~midp(X0,X0,X1)|perp(X1,X0,X0,X0))),
% 6.90/1.30 inference(resolution,[status(thm)],[f4876,f114])).
% 6.90/1.30 fof(f4941,plain,(
% 6.90/1.30 ![X0,X1]: (~midp(X0,X0,X1)|~midp(X0,X0,X0)|cong(X1,X0,X1,X0))),
% 6.90/1.30 inference(resolution,[status(thm)],[f4938,f230])).
% 6.90/1.30 fof(f4942,plain,(
% 6.90/1.30 ![X0,X1]: (~midp(X0,X0,X1)|cong(X1,X0,X1,X0))),
% 6.90/1.30 inference(forward_subsumption_resolution,[status(thm)],[f4941,f4693])).
% 6.90/1.30 fof(f4948,plain,(
% 6.90/1.30 ![X0,X1]: (~midp(X0,X0,X1)|midp(X1,X0,X0))),
% 6.90/1.30 inference(resolution,[status(thm)],[f4942,f3700])).
% 6.90/1.30 fof(f4949,plain,(
% 6.90/1.30 ![X0,X1,X2]: (~midp(X0,X0,X1)|~cong(X1,X2,X1,X2)|perp(X2,X1,X1,X0))),
% 6.90/1.30 inference(resolution,[status(thm)],[f4942,f3290])).
% 6.90/1.30 fof(f5069,plain,(
% 6.90/1.30 ![X0,X1]: (midp(X0,X1,X0)|~spl0_76)),
% 6.90/1.30 inference(resolution,[status(thm)],[f3875,f4683])).
% 6.90/1.30 fof(f5078,plain,(
% 6.90/1.30 ![X0,X1]: (cong(X0,X0,X0,X1)|~spl0_76)),
% 6.90/1.30 inference(backward_subsumption_resolution,[status(thm)],[f4558,f5069])).
% 6.90/1.30 fof(f5100,plain,(
% 6.90/1.30 ![X0,X1]: (midp(X0,X0,X1)|~spl0_76)),
% 6.90/1.30 inference(resolution,[status(thm)],[f5069,f122])).
% 6.90/1.30 fof(f5103,plain,(
% 6.90/1.30 ![X0,X1]: (cong(X0,X1,X0,X1)|~spl0_76)),
% 6.90/1.30 inference(backward_subsumption_resolution,[status(thm)],[f4942,f5100])).
% 6.90/1.30 fof(f5131,plain,(
% 6.90/1.30 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X1,X0,X0,X2)|~spl0_76)),
% 6.90/1.30 inference(backward_subsumption_resolution,[status(thm)],[f4949,f5100])).
% 6.90/1.30 fof(f5132,plain,(
% 6.90/1.30 ![X0,X1,X2]: (perp(X0,X1,X1,X2)|~spl0_76)),
% 6.90/1.30 inference(forward_subsumption_resolution,[status(thm)],[f5131,f5103])).
% 6.90/1.30 fof(f5133,plain,(
% 6.90/1.30 ![X0,X1]: (midp(X0,X1,X1)|~spl0_76)),
% 6.90/1.30 inference(backward_subsumption_resolution,[status(thm)],[f4948,f5100])).
% 6.90/1.30 fof(f5191,plain,(
% 6.90/1.30 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~para(X0,X1,X2,X3)|~circle(X4,X5,X6,X7)|eqangle(X0,X1,X2,X3,X7,X5,X7,X6)|~spl0_76)),
% 6.90/1.30 inference(backward_subsumption_resolution,[status(thm)],[f3187,f5132])).
% 6.90/1.30 fof(f5199,plain,(
% 6.90/1.30 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~circle(X0,X1,X2,X3)|~eqangle(X4,X5,X6,X7,X3,X1,X3,X2)|eqangle(X4,X5,X6,X7,X1,X8,X1,X2)|~spl0_76)),
% 6.90/1.30 inference(backward_subsumption_resolution,[status(thm)],[f2682,f5132])).
% 6.90/1.30 fof(f5234,plain,(
% 6.90/1.30 ![X0,X1,X2]: (cong(X0,X1,X2,X1)|~spl0_76)),
% 6.90/1.30 inference(backward_subsumption_resolution,[status(thm)],[f3892,f5133])).
% 6.90/1.30 fof(f5242,plain,(
% 6.90/1.30 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|perp(X0,X2,X3,X1)|~spl0_76)),
% 6.90/1.30 inference(backward_subsumption_resolution,[status(thm)],[f232,f5234])).
% 6.90/1.30 fof(f5243,plain,(
% 6.90/1.30 ![X0,X1,X2,X3]: (perp(X0,X1,X2,X3)|~spl0_76)),
% 6.90/1.30 inference(forward_subsumption_resolution,[status(thm)],[f5242,f5234])).
% 6.90/1.30 fof(f5248,plain,(
% 6.90/1.30 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|para(X4,X5,X2,X3)|~spl0_76)),
% 6.90/1.30 inference(backward_subsumption_resolution,[status(thm)],[f117,f5243])).
% 6.90/1.30 fof(f5249,plain,(
% 6.90/1.30 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3)|~spl0_76)),
% 6.90/1.30 inference(forward_subsumption_resolution,[status(thm)],[f5248,f5243])).
% 6.90/1.30 fof(f5319,plain,(
% 6.90/1.30 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~circle(X0,X1,X2,X3)|eqangle(X4,X5,X6,X7,X3,X1,X3,X2)|~spl0_76)),
% 6.90/1.30 inference(backward_subsumption_resolution,[status(thm)],[f5191,f5249])).
% 6.90/1.30 fof(f5332,plain,(
% 6.90/1.30 ![X0,X1,X2]: (cong(X0,X1,X2,X2)|~spl0_76)),
% 6.90/1.30 inference(backward_subsumption_resolution,[status(thm)],[f3264,f5249])).
% 6.90/1.30 fof(f5345,plain,(
% 6.90/1.30 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~circle(X0,X1,X2,X3)|eqangle(X4,X5,X6,X7,X1,X8,X1,X2)|~spl0_76)),
% 6.90/1.30 inference(backward_subsumption_resolution,[status(thm)],[f5199,f5319])).
% 6.90/1.30 fof(f5347,plain,(
% 6.90/1.30 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X2)|cong(X0,X1,X2,X3)|~spl0_76)),
% 6.90/1.30 inference(resolution,[status(thm)],[f5078,f154])).
% 6.90/1.30 fof(f5348,plain,(
% 6.90/1.30 ![X0,X1,X2,X3]: (cong(X0,X1,X2,X3)|~spl0_76)),
% 6.90/1.30 inference(forward_subsumption_resolution,[status(thm)],[f5347,f5332])).
% 6.90/1.30 fof(f5355,plain,(
% 6.90/1.30 ![X0,X1,X2,X3]: (~cong(X0,X1,X0,X2)|circle(X0,X1,X3,X2)|~spl0_76)),
% 6.90/1.30 inference(backward_subsumption_resolution,[status(thm)],[f124,f5348])).
% 6.90/1.30 fof(f5356,plain,(
% 6.90/1.30 ![X0,X1,X2,X3]: (circle(X0,X1,X2,X3)|~spl0_76)),
% 6.90/1.30 inference(forward_subsumption_resolution,[status(thm)],[f5355,f5348])).
% 6.90/1.30 fof(f5367,plain,(
% 6.90/1.30 ![X0,X1,X2,X3,X4,X5,X6]: (eqangle(X0,X1,X2,X3,X4,X5,X4,X6)|~spl0_76)),
% 6.90/1.30 inference(backward_subsumption_resolution,[status(thm)],[f5345,f5356])).
% 6.90/1.30 fof(f5442,plain,(
% 6.90/1.30 ![X0,X1,X2,X3,X4,X5,X6]: (eqangle(X0,X1,X2,X3,X4,X5,X5,X6)|~spl0_76)),
% 6.90/1.30 inference(backward_subsumption_resolution,[status(thm)],[f4123,f5367])).
% 6.90/1.30 fof(f5446,plain,(
% 6.90/1.30 $false|~spl0_76|spl0_5),
% 6.90/1.30 inference(backward_subsumption_resolution,[status(thm)],[f414,f5442])).
% 6.90/1.30 fof(f5447,plain,(
% 6.90/1.30 ~spl0_76|spl0_5),
% 6.90/1.30 inference(contradiction_clause,[status(thm)],[f5446])).
% 6.90/1.30 fof(f5450,plain,(
% 6.90/1.30 ![X0,X1,X2,X3,X4]: (~pd0_3(X0,X1,X2,X3,X4)|~spl0_76)),
% 6.90/1.30 inference(backward_subsumption_resolution,[status(thm)],[f396,f5442])).
% 6.90/1.30 fof(f5452,plain,(
% 6.90/1.30 ![X0,X1,X2,X3,X4]: (~pd0_2(X0,X1,X2,X3,X4)|~spl0_76)),
% 6.90/1.30 inference(backward_subsumption_resolution,[status(thm)],[f393,f5442])).
% 6.90/1.30 fof(f5454,plain,(
% 6.90/1.30 ![X0,X1,X2,X3,X4]: (~pd0_1(X0,X1,X2,X3,X4)|~spl0_76)),
% 6.90/1.30 inference(backward_subsumption_resolution,[status(thm)],[f390,f5442])).
% 6.90/1.30 fof(f5456,plain,(
% 6.90/1.30 ![X0,X1,X2,X3,X4]: (~pd0_0(X0,X1,X2,X3,X4)|~spl0_76)),
% 6.90/1.30 inference(backward_subsumption_resolution,[status(thm)],[f387,f5442])).
% 6.90/1.30 fof(f5458,plain,(
% 6.90/1.30 $false|~spl0_76|spl0_6),
% 6.90/1.30 inference(forward_subsumption_resolution,[status(thm)],[f417,f5442])).
% 6.90/1.30 fof(f5459,plain,(
% 6.90/1.30 ~spl0_76|spl0_6),
% 6.90/1.30 inference(contradiction_clause,[status(thm)],[f5458])).
% 6.90/1.30 fof(f5460,plain,(
% 6.90/1.30 $false|~spl0_76|spl0_0),
% 6.90/1.30 inference(forward_subsumption_resolution,[status(thm)],[f399,f5442])).
% 6.90/1.30 fof(f5461,plain,(
% 6.90/1.30 ~spl0_76|spl0_0),
% 6.90/1.30 inference(contradiction_clause,[status(thm)],[f5460])).
% 6.90/1.30 fof(f5462,plain,(
% 6.90/1.30 $false|~spl0_76|~spl0_4),
% 6.90/1.30 inference(forward_subsumption_resolution,[status(thm)],[f410,f5450])).
% 6.90/1.30 fof(f5463,plain,(
% 6.90/1.30 ~spl0_76|~spl0_4),
% 6.90/1.30 inference(contradiction_clause,[status(thm)],[f5462])).
% 6.90/1.30 fof(f5464,plain,(
% 6.90/1.30 $false|~spl0_76|~spl0_3),
% 6.90/1.30 inference(forward_subsumption_resolution,[status(thm)],[f407,f5452])).
% 6.90/1.30 fof(f5465,plain,(
% 6.90/1.30 ~spl0_76|~spl0_3),
% 6.90/1.30 inference(contradiction_clause,[status(thm)],[f5464])).
% 6.90/1.30 fof(f5466,plain,(
% 6.90/1.30 $false|~spl0_76|~spl0_1),
% 6.90/1.30 inference(forward_subsumption_resolution,[status(thm)],[f401,f5456])).
% 6.90/1.30 fof(f5467,plain,(
% 6.90/1.30 ~spl0_76|~spl0_1),
% 6.90/1.30 inference(contradiction_clause,[status(thm)],[f5466])).
% 6.90/1.30 fof(f5468,plain,(
% 6.90/1.30 $false|~spl0_76|~spl0_2),
% 6.90/1.30 inference(forward_subsumption_resolution,[status(thm)],[f404,f5454])).
% 6.90/1.30 fof(f5469,plain,(
% 6.90/1.30 ~spl0_76|~spl0_2),
% 6.90/1.30 inference(contradiction_clause,[status(thm)],[f5468])).
% 6.90/1.30 fof(f5470,plain,(
% 6.90/1.30 $false),
% 6.90/1.30 inference(sat_refutation,[status(thm)],[f418,f3195,f4869,f5447,f5459,f5461,f5463,f5465,f5467,f5469])).
% 6.90/1.30 % SZS output end CNFRefutation for theBenchmark.p
% 7.64/1.32 % Elapsed time: 0.988970 seconds
% 7.64/1.32 % CPU time: 7.431430 seconds
% 7.64/1.32 % Memory used: 101.138 MB
%------------------------------------------------------------------------------