%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO610+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:26:43 PM UTC 2026
% Result : Theorem 7.51s 1.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO610+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n004.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sun Sep 20 17:50:36 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.38 % Drodi V4.1.1
% 7.51/1.40 % Refutation found
% 7.51/1.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 7.51/1.40 % SZS output start CNFRefutation for theBenchmark
% 7.51/1.40 fof(f1,axiom,(
% 7.51/1.40 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 7.51/1.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.51/1.40 fof(f2,axiom,(
% 7.51/1.40 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 7.51/1.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.51/1.40 fof(f3,axiom,(
% 7.51/1.40 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 7.51/1.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.51/1.40 fof(f4,axiom,(
% 7.51/1.40 (! [A,B,C,D] :( para(A,B,C,D)=> para(A,B,D,C) ) )),
% 7.51/1.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.51/1.40 fof(f8,axiom,(
% 7.51/1.40 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 7.51/1.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.51/1.40 fof(f9,axiom,(
% 7.51/1.40 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 7.51/1.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.51/1.40 fof(f12,axiom,(
% 7.51/1.40 (! [A,B,C,O] :( ( cong(O,A,O,B)& cong(O,A,O,C) )=> circle(O,A,B,C) ) )),
% 7.51/1.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.51/1.41 fof(f17,axiom,(
% 7.51/1.41 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 7.51/1.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.51/1.41 fof(f18,axiom,(
% 7.51/1.41 (! [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) ) )),
% 7.51/1.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.51/1.41 fof(f19,axiom,(
% 7.51/1.41 (! [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) ) )),
% 7.51/1.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.51/1.41 fof(f20,axiom,(
% 7.51/1.41 (! [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) ) )),
% 7.51/1.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.51/1.41 fof(f21,axiom,(
% 7.51/1.41 (! [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) ) )),
% 7.51/1.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.51/1.41 fof(f22,axiom,(
% 7.51/1.41 (! [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) ) )),
% 7.51/1.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.51/1.41 fof(f39,axiom,(
% 7.51/1.41 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 7.51/1.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.51/1.41 fof(f40,axiom,(
% 7.51/1.41 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 7.51/1.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.51/1.41 fof(f41,axiom,(
% 7.51/1.41 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 7.51/1.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.51/1.41 fof(f43,axiom,(
% 7.51/1.41 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 7.51/1.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.51/1.41 fof(f44,axiom,(
% 7.51/1.41 (! [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) ) )),
% 7.51/1.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.51/1.41 fof(f46,axiom,(
% 7.51/1.41 (! [A,B,C,E,F] :( ( midp(E,A,B)& para(E,F,B,C)& coll(F,A,C) )=> midp(F,A,C) ) )),
% 7.51/1.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.51/1.41 fof(f51,axiom,(
% 7.51/1.41 (! [A,B,C,O,M] :( ( circle(O,A,B,C)& midp(M,B,C) )=> eqangle(A,B,A,C,O,B,O,M) ) )),
% 7.51/1.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.51/1.41 fof(f56,axiom,(
% 7.51/1.41 (! [A,B,M,O] :( ( midp(M,A,B)& perp(O,M,A,B) )=> cong(O,A,O,B) ) )),
% 7.51/1.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.51/1.41 fof(f58,axiom,(
% 7.51/1.41 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q)& cyclic(A,B,P,Q) )=> perp(P,A,A,Q) ) )),
% 7.51/1.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.51/1.41 fof(f64,axiom,(
% 7.51/1.41 (! [A,B,C,D,M] :( ( midp(M,A,B)& midp(M,C,D) )=> para(A,C,B,D) ) )),
% 7.51/1.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.51/1.41 fof(f65,axiom,(
% 7.51/1.41 (! [A,B,C,D,M] :( ( midp(M,A,B)& para(A,C,B,D)& para(A,D,B,C) )=> midp(M,C,D) ) )),
% 7.51/1.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.51/1.41 fof(f67,axiom,(
% 7.51/1.41 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 7.51/1.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.51/1.41 fof(f68,axiom,(
% 7.51/1.41 (! [A,B,C] :( ( cong(A,B,A,C)& coll(A,B,C) )=> midp(A,B,C) ) )),
% 7.51/1.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.51/1.41 fof(f95,conjecture,(
% 7.51/1.41 (! [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) ) ) )),
% 7.51/1.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.51/1.41 fof(f96,negated_conjecture,(
% 7.51/1.41 ~((! [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) ) ) ))),
% 7.51/1.41 inference(negated_conjecture,[status(cth)],[f95])).
% 7.51/1.41 fof(f97,plain,(
% 7.51/1.41 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 7.51/1.41 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 7.51/1.41 fof(f98,plain,(
% 7.51/1.41 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 7.51/1.41 inference(cnf_transformation,[status(thm)],[f97])).
% 7.51/1.41 fof(f99,plain,(
% 7.51/1.41 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 7.51/1.41 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 7.51/1.41 fof(f100,plain,(
% 7.51/1.41 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 7.51/1.41 inference(cnf_transformation,[status(thm)],[f99])).
% 7.51/1.41 fof(f101,plain,(
% 7.51/1.41 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 7.51/1.41 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 7.51/1.41 fof(f102,plain,(
% 7.51/1.41 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 7.51/1.41 inference(miniscoping,[status(thm)],[f101])).
% 7.51/1.41 fof(f103,plain,(
% 7.51/1.41 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 7.51/1.41 inference(cnf_transformation,[status(thm)],[f102])).
% 7.51/1.41 fof(f104,plain,(
% 7.51/1.41 ![A,B,C,D]: (~para(A,B,C,D)|para(A,B,D,C))),
% 7.51/1.41 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 7.51/1.41 fof(f105,plain,(
% 7.51/1.41 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X0,X1,X3,X2))),
% 7.51/1.41 inference(cnf_transformation,[status(thm)],[f104])).
% 7.51/1.41 fof(f113,plain,(
% 7.51/1.41 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 7.51/1.41 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 7.51/1.41 fof(f114,plain,(
% 7.51/1.41 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 7.51/1.41 inference(cnf_transformation,[status(thm)],[f113])).
% 7.51/1.41 fof(f115,plain,(
% 7.51/1.41 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 7.51/1.41 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 7.51/1.41 fof(f116,plain,(
% 7.51/1.41 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 7.51/1.41 inference(miniscoping,[status(thm)],[f115])).
% 7.51/1.41 fof(f117,plain,(
% 7.51/1.41 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 7.51/1.41 inference(cnf_transformation,[status(thm)],[f116])).
% 7.51/1.41 fof(f123,plain,(
% 7.51/1.41 ![A,B,C,O]: ((~cong(O,A,O,B)|~cong(O,A,O,C))|circle(O,A,B,C))),
% 7.51/1.41 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 7.51/1.41 fof(f124,plain,(
% 7.51/1.41 ![X0,X1,X2,X3]: (~cong(X0,X1,X0,X2)|~cong(X0,X1,X0,X3)|circle(X0,X1,X2,X3))),
% 7.51/1.41 inference(cnf_transformation,[status(thm)],[f123])).
% 7.51/1.41 fof(f134,plain,(
% 7.51/1.41 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 7.51/1.41 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 7.51/1.41 fof(f135,plain,(
% 7.51/1.41 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 7.51/1.41 inference(miniscoping,[status(thm)],[f134])).
% 7.51/1.41 fof(f136,plain,(
% 7.51/1.41 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 7.51/1.41 inference(cnf_transformation,[status(thm)],[f135])).
% 7.51/1.41 fof(f137,plain,(
% 7.51/1.41 ![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))),
% 7.51/1.41 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 7.51/1.41 fof(f138,plain,(
% 7.51/1.41 ![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))),
% 7.51/1.41 inference(cnf_transformation,[status(thm)],[f137])).
% 7.51/1.41 fof(f139,plain,(
% 7.51/1.41 ![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))),
% 7.51/1.41 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 7.51/1.41 fof(f140,plain,(
% 7.51/1.41 ![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))),
% 7.51/1.41 inference(cnf_transformation,[status(thm)],[f139])).
% 7.51/1.41 fof(f141,plain,(
% 7.51/1.41 ![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))),
% 7.51/1.41 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 7.51/1.41 fof(f142,plain,(
% 7.51/1.41 ![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))),
% 7.51/1.41 inference(cnf_transformation,[status(thm)],[f141])).
% 7.51/1.41 fof(f143,plain,(
% 7.51/1.41 ![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))),
% 7.51/1.41 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 7.51/1.41 fof(f144,plain,(
% 7.51/1.41 ![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))),
% 7.51/1.41 inference(cnf_transformation,[status(thm)],[f143])).
% 7.51/1.41 fof(f145,plain,(
% 7.51/1.41 ![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))),
% 7.51/1.41 inference(pre_NNF_transformation,[status(thm)],[f22])).
% 7.51/1.41 fof(f146,plain,(
% 7.51/1.41 ![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))),
% 7.51/1.41 inference(miniscoping,[status(thm)],[f145])).
% 7.51/1.41 fof(f147,plain,(
% 7.51/1.41 ![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))),
% 7.51/1.41 inference(cnf_transformation,[status(thm)],[f146])).
% 7.51/1.41 fof(f184,plain,(
% 7.51/1.41 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 7.51/1.41 inference(pre_NNF_transformation,[status(thm)],[f39])).
% 7.51/1.41 fof(f185,plain,(
% 7.51/1.41 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 7.51/1.41 inference(miniscoping,[status(thm)],[f184])).
% 7.51/1.41 fof(f186,plain,(
% 7.51/1.41 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 7.51/1.41 inference(cnf_transformation,[status(thm)],[f185])).
% 7.51/1.41 fof(f187,plain,(
% 7.51/1.41 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 7.51/1.41 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 7.51/1.41 fof(f188,plain,(
% 7.51/1.41 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 7.51/1.41 inference(miniscoping,[status(thm)],[f187])).
% 7.51/1.41 fof(f189,plain,(
% 7.51/1.41 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 7.51/1.41 inference(cnf_transformation,[status(thm)],[f188])).
% 7.51/1.41 fof(f190,plain,(
% 7.51/1.41 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 7.51/1.41 inference(pre_NNF_transformation,[status(thm)],[f41])).
% 7.51/1.41 fof(f191,plain,(
% 7.51/1.41 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 7.51/1.41 inference(cnf_transformation,[status(thm)],[f190])).
% 7.51/1.41 fof(f194,plain,(
% 7.51/1.41 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 7.51/1.41 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 7.51/1.41 fof(f195,plain,(
% 7.51/1.41 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 7.51/1.41 inference(cnf_transformation,[status(thm)],[f194])).
% 7.51/1.41 fof(f196,plain,(
% 7.51/1.41 ![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))),
% 7.51/1.41 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 7.51/1.41 fof(f197,plain,(
% 7.51/1.41 ![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))),
% 7.51/1.41 inference(miniscoping,[status(thm)],[f196])).
% 7.51/1.41 fof(f198,plain,(
% 7.51/1.41 ![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))),
% 7.51/1.41 inference(cnf_transformation,[status(thm)],[f197])).
% 7.51/1.41 fof(f202,plain,(
% 7.51/1.41 ![A,B,C,E,F]: (((~midp(E,A,B)|~para(E,F,B,C))|~coll(F,A,C))|midp(F,A,C))),
% 7.51/1.41 inference(pre_NNF_transformation,[status(thm)],[f46])).
% 7.51/1.41 fof(f203,plain,(
% 7.51/1.41 ![A,C,F]: (((![B,E]: (~midp(E,A,B)|~para(E,F,B,C)))|~coll(F,A,C))|midp(F,A,C))),
% 7.51/1.41 inference(miniscoping,[status(thm)],[f202])).
% 7.51/1.41 fof(f204,plain,(
% 7.51/1.41 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X0,X3,X2,X4)|~coll(X3,X1,X4)|midp(X3,X1,X4))),
% 7.51/1.41 inference(cnf_transformation,[status(thm)],[f203])).
% 7.51/1.41 fof(f215,plain,(
% 7.51/1.41 ![A,B,C,O,M]: ((~circle(O,A,B,C)|~midp(M,B,C))|eqangle(A,B,A,C,O,B,O,M))),
% 7.51/1.41 inference(pre_NNF_transformation,[status(thm)],[f51])).
% 7.51/1.41 fof(f216,plain,(
% 7.51/1.41 ![X0,X1,X2,X3,X4]: (~circle(X0,X1,X2,X3)|~midp(X4,X2,X3)|eqangle(X1,X2,X1,X3,X0,X2,X0,X4))),
% 7.51/1.41 inference(cnf_transformation,[status(thm)],[f215])).
% 7.51/1.41 fof(f228,plain,(
% 7.51/1.41 ![A,B,M,O]: ((~midp(M,A,B)|~perp(O,M,A,B))|cong(O,A,O,B))),
% 7.51/1.41 inference(pre_NNF_transformation,[status(thm)],[f56])).
% 7.51/1.41 fof(f229,plain,(
% 7.51/1.41 ![A,B,O]: ((![M]: (~midp(M,A,B)|~perp(O,M,A,B)))|cong(O,A,O,B))),
% 7.51/1.41 inference(miniscoping,[status(thm)],[f228])).
% 7.51/1.41 fof(f230,plain,(
% 7.51/1.41 ![X0,X1,X2,X3]: (~midp(X0,X1,X2)|~perp(X3,X0,X1,X2)|cong(X3,X1,X3,X2))),
% 7.51/1.41 inference(cnf_transformation,[status(thm)],[f229])).
% 7.51/1.41 fof(f233,plain,(
% 7.51/1.41 ![A,B,P,Q]: (((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q))|perp(P,A,A,Q))),
% 7.51/1.41 inference(pre_NNF_transformation,[status(thm)],[f58])).
% 7.51/1.41 fof(f234,plain,(
% 7.51/1.41 ![A,P,Q]: ((![B]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q)))|perp(P,A,A,Q))),
% 7.51/1.41 inference(miniscoping,[status(thm)],[f233])).
% 7.51/1.41 fof(f235,plain,(
% 7.51/1.41 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|~cyclic(X0,X2,X1,X3)|perp(X1,X0,X0,X3))),
% 7.51/1.41 inference(cnf_transformation,[status(thm)],[f234])).
% 7.51/1.41 fof(f247,plain,(
% 7.51/1.41 ![A,B,C,D,M]: ((~midp(M,A,B)|~midp(M,C,D))|para(A,C,B,D))),
% 7.51/1.41 inference(pre_NNF_transformation,[status(thm)],[f64])).
% 7.51/1.41 fof(f248,plain,(
% 7.51/1.41 ![A,B,C,D]: ((![M]: (~midp(M,A,B)|~midp(M,C,D)))|para(A,C,B,D))),
% 7.51/1.41 inference(miniscoping,[status(thm)],[f247])).
% 7.51/1.41 fof(f249,plain,(
% 7.51/1.41 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~midp(X0,X3,X4)|para(X1,X3,X2,X4))),
% 7.51/1.41 inference(cnf_transformation,[status(thm)],[f248])).
% 7.51/1.41 fof(f250,plain,(
% 7.51/1.41 ![A,B,C,D,M]: (((~midp(M,A,B)|~para(A,C,B,D))|~para(A,D,B,C))|midp(M,C,D))),
% 7.51/1.41 inference(pre_NNF_transformation,[status(thm)],[f65])).
% 7.51/1.41 fof(f251,plain,(
% 7.51/1.41 ![C,D,M]: ((![A,B]: ((~midp(M,A,B)|~para(A,C,B,D))|~para(A,D,B,C)))|midp(M,C,D))),
% 7.51/1.41 inference(miniscoping,[status(thm)],[f250])).
% 7.51/1.41 fof(f252,plain,(
% 7.51/1.41 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X1,X3,X2,X4)|~para(X1,X4,X2,X3)|midp(X0,X3,X4))),
% 7.51/1.41 inference(cnf_transformation,[status(thm)],[f251])).
% 7.51/1.41 fof(f255,plain,(
% 7.51/1.41 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 7.51/1.41 inference(pre_NNF_transformation,[status(thm)],[f67])).
% 7.51/1.41 fof(f256,plain,(
% 7.51/1.41 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 7.51/1.41 inference(cnf_transformation,[status(thm)],[f255])).
% 7.51/1.41 fof(f257,plain,(
% 7.51/1.41 ![A,B,C]: ((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))),
% 7.51/1.41 inference(pre_NNF_transformation,[status(thm)],[f68])).
% 7.51/1.41 fof(f258,plain,(
% 7.51/1.41 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|~coll(X0,X1,X2)|midp(X0,X1,X2))),
% 7.51/1.41 inference(cnf_transformation,[status(thm)],[f257])).
% 7.51/1.41 fof(f369,plain,(
% 7.51/1.41 (?[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))))),
% 7.51/1.41 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 7.51/1.41 fof(f370,definition,(
% 7.51/1.41 ![B,C,E,F,G]: (sP0_prd(G,F,E,C,B)<=>(~eqangle(E,F,F,G,E,C,C,B)&~eqangle(F,E,E,G,C,E,E,B)))),
% 7.51/1.41 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 7.51/1.41 fof(f371,definition,(
% 7.51/1.41 ![B,C,E,F,G]: (sP1_prd(G,F,E,C,B)<=>(~eqangle(E,F,F,G,E,B,B,C)&~eqangle(F,E,E,G,E,C,C,B)))),
% 7.51/1.41 introduced(definition,[new_symbols(definition,[sP1_prd])],[])).
% 7.51/1.41 fof(f372,definition,(
% 7.51/1.41 ![B,C,E,F,G]: (sP2_prd(G,F,E,C,B)<=>(~eqangle(E,F,F,G,C,E,E,B)&~eqangle(F,E,E,G,E,C,C,B)))),
% 7.51/1.41 introduced(definition,[new_symbols(definition,[sP2_prd])],[])).
% 7.51/1.41 fof(f373,definition,(
% 7.51/1.41 ![B,C,E,F,G]: (sP3_prd(G,F,E,C,B)<=>(~eqangle(E,F,F,G,E,B,B,C)&~eqangle(F,E,E,G,E,B,B,C)))),
% 7.51/1.41 introduced(definition,[new_symbols(definition,[sP3_prd])],[])).
% 7.51/1.41 fof(f374,plain,(
% 7.51/1.41 ?[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)|sP0_prd(G,F,E,C,B))|sP1_prd(G,F,E,C,B))|sP2_prd(G,F,E,C,B))|sP3_prd(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)))),
% 7.51/1.41 inference(formula_renaming,[status(thm)],[f369,f373,f372,f371,f370])).
% 7.51/1.41 fof(f375,plain,(
% 7.51/1.41 ?[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)|sP0_prd(G,F,E,C,B))|sP1_prd(G,F,E,C,B))|sP2_prd(G,F,E,C,B))|sP3_prd(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)))),
% 7.51/1.41 inference(miniscoping,[status(thm)],[f374])).
% 7.51/1.41 fof(f376,plain,(
% 7.51/1.41 ((((((circle(sK26_skl,sK25_skl,sK20_skl,sK21_skl)&circle(sK26_skl,sK25_skl,sK22_skl,sK27_skl))&perp(sK23_skl,sK22_skl,sK25_skl,sK21_skl))&coll(sK23_skl,sK25_skl,sK21_skl))&perp(sK24_skl,sK22_skl,sK25_skl,sK20_skl))&coll(sK24_skl,sK25_skl,sK20_skl))&((((((~eqangle(sK23_skl,sK22_skl,sK22_skl,sK24_skl,sK21_skl,sK22_skl,sK22_skl,sK20_skl)|sP0_prd(sK24_skl,sK23_skl,sK22_skl,sK21_skl,sK20_skl))|sP1_prd(sK24_skl,sK23_skl,sK22_skl,sK21_skl,sK20_skl))|sP2_prd(sK24_skl,sK23_skl,sK22_skl,sK21_skl,sK20_skl))|sP3_prd(sK24_skl,sK23_skl,sK22_skl,sK21_skl,sK20_skl))|(~eqangle(sK22_skl,sK23_skl,sK23_skl,sK24_skl,sK21_skl,sK22_skl,sK22_skl,sK20_skl)&~eqangle(sK23_skl,sK22_skl,sK22_skl,sK24_skl,sK22_skl,sK20_skl,sK20_skl,sK21_skl)))|~eqangle(sK22_skl,sK23_skl,sK23_skl,sK24_skl,sK22_skl,sK21_skl,sK21_skl,sK20_skl)))),
% 7.51/1.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl,sK21_skl,sK22_skl,sK23_skl,sK24_skl,sK25_skl,sK26_skl,sK27_skl]),skolemize(B,sK20_skl),skolemize(C,sK21_skl),skolemize(E,sK22_skl),skolemize(F,sK23_skl),skolemize(G,sK24_skl),skolemize(A,sK25_skl),skolemize(D,sK26_skl),skolemize(NWPNT1,sK27_skl)],[f375])).
% 7.51/1.41 fof(f381,plain,(
% 7.51/1.41 perp(sK24_skl,sK22_skl,sK25_skl,sK20_skl)),
% 7.51/1.41 inference(cnf_transformation,[status(thm)],[f376])).
% 7.51/1.41 fof(f383,plain,(
% 7.51/1.41 ~eqangle(sK23_skl,sK22_skl,sK22_skl,sK24_skl,sK21_skl,sK22_skl,sK22_skl,sK20_skl)|sP0_prd(sK24_skl,sK23_skl,sK22_skl,sK21_skl,sK20_skl)|sP1_prd(sK24_skl,sK23_skl,sK22_skl,sK21_skl,sK20_skl)|sP2_prd(sK24_skl,sK23_skl,sK22_skl,sK21_skl,sK20_skl)|sP3_prd(sK24_skl,sK23_skl,sK22_skl,sK21_skl,sK20_skl)|~eqangle(sK22_skl,sK23_skl,sK23_skl,sK24_skl,sK21_skl,sK22_skl,sK22_skl,sK20_skl)|~eqangle(sK22_skl,sK23_skl,sK23_skl,sK24_skl,sK22_skl,sK21_skl,sK21_skl,sK20_skl)),
% 7.51/1.41 inference(cnf_transformation,[status(thm)],[f376])).
% 7.51/1.41 fof(f385,plain,(
% 7.51/1.41 ![B,C,E,F,G]: ((~sP0_prd(G,F,E,C,B)|(~eqangle(E,F,F,G,E,C,C,B)&~eqangle(F,E,E,G,C,E,E,B)))&(sP0_prd(G,F,E,C,B)|(eqangle(E,F,F,G,E,C,C,B)|eqangle(F,E,E,G,C,E,E,B))))),
% 7.51/1.41 inference(NNF_transformation,[status(thm)],[f370])).
% 7.51/1.41 fof(f386,plain,(
% 7.51/1.41 (![B,C,E,F,G]: (~sP0_prd(G,F,E,C,B)|(~eqangle(E,F,F,G,E,C,C,B)&~eqangle(F,E,E,G,C,E,E,B))))&(![B,C,E,F,G]: (sP0_prd(G,F,E,C,B)|(eqangle(E,F,F,G,E,C,C,B)|eqangle(F,E,E,G,C,E,E,B))))),
% 7.51/1.41 inference(miniscoping,[status(thm)],[f385])).
% 7.51/1.41 fof(f387,plain,(
% 7.51/1.41 ![X0,X1,X2,X3,X4]: (~sP0_prd(X0,X1,X2,X3,X4)|~eqangle(X2,X1,X1,X0,X2,X3,X3,X4))),
% 7.51/1.41 inference(cnf_transformation,[status(thm)],[f386])).
% 7.51/1.41 fof(f390,plain,(
% 7.51/1.41 ![B,C,E,F,G]: ((~sP1_prd(G,F,E,C,B)|(~eqangle(E,F,F,G,E,B,B,C)&~eqangle(F,E,E,G,E,C,C,B)))&(sP1_prd(G,F,E,C,B)|(eqangle(E,F,F,G,E,B,B,C)|eqangle(F,E,E,G,E,C,C,B))))),
% 7.51/1.41 inference(NNF_transformation,[status(thm)],[f371])).
% 7.51/1.41 fof(f391,plain,(
% 7.51/1.41 (![B,C,E,F,G]: (~sP1_prd(G,F,E,C,B)|(~eqangle(E,F,F,G,E,B,B,C)&~eqangle(F,E,E,G,E,C,C,B))))&(![B,C,E,F,G]: (sP1_prd(G,F,E,C,B)|(eqangle(E,F,F,G,E,B,B,C)|eqangle(F,E,E,G,E,C,C,B))))),
% 7.51/1.41 inference(miniscoping,[status(thm)],[f390])).
% 7.51/1.41 fof(f392,plain,(
% 7.51/1.41 ![X0,X1,X2,X3,X4]: (~sP1_prd(X0,X1,X2,X3,X4)|~eqangle(X2,X1,X1,X0,X2,X4,X4,X3))),
% 7.51/1.41 inference(cnf_transformation,[status(thm)],[f391])).
% 7.51/1.41 fof(f395,plain,(
% 7.51/1.41 ![B,C,E,F,G]: ((~sP2_prd(G,F,E,C,B)|(~eqangle(E,F,F,G,C,E,E,B)&~eqangle(F,E,E,G,E,C,C,B)))&(sP2_prd(G,F,E,C,B)|(eqangle(E,F,F,G,C,E,E,B)|eqangle(F,E,E,G,E,C,C,B))))),
% 7.51/1.41 inference(NNF_transformation,[status(thm)],[f372])).
% 7.51/1.41 fof(f396,plain,(
% 7.51/1.41 (![B,C,E,F,G]: (~sP2_prd(G,F,E,C,B)|(~eqangle(E,F,F,G,C,E,E,B)&~eqangle(F,E,E,G,E,C,C,B))))&(![B,C,E,F,G]: (sP2_prd(G,F,E,C,B)|(eqangle(E,F,F,G,C,E,E,B)|eqangle(F,E,E,G,E,C,C,B))))),
% 7.51/1.41 inference(miniscoping,[status(thm)],[f395])).
% 7.51/1.41 fof(f397,plain,(
% 7.51/1.41 ![X0,X1,X2,X3,X4]: (~sP2_prd(X0,X1,X2,X3,X4)|~eqangle(X2,X1,X1,X0,X3,X2,X2,X4))),
% 7.51/1.41 inference(cnf_transformation,[status(thm)],[f396])).
% 7.51/1.41 fof(f400,plain,(
% 7.51/1.41 ![B,C,E,F,G]: ((~sP3_prd(G,F,E,C,B)|(~eqangle(E,F,F,G,E,B,B,C)&~eqangle(F,E,E,G,E,B,B,C)))&(sP3_prd(G,F,E,C,B)|(eqangle(E,F,F,G,E,B,B,C)|eqangle(F,E,E,G,E,B,B,C))))),
% 7.51/1.41 inference(NNF_transformation,[status(thm)],[f373])).
% 7.51/1.41 fof(f401,plain,(
% 7.51/1.41 (![B,C,E,F,G]: (~sP3_prd(G,F,E,C,B)|(~eqangle(E,F,F,G,E,B,B,C)&~eqangle(F,E,E,G,E,B,B,C))))&(![B,C,E,F,G]: (sP3_prd(G,F,E,C,B)|(eqangle(E,F,F,G,E,B,B,C)|eqangle(F,E,E,G,E,B,B,C))))),
% 7.51/1.41 inference(miniscoping,[status(thm)],[f400])).
% 7.51/1.41 fof(f402,plain,(
% 7.51/1.41 ![X0,X1,X2,X3,X4]: (~sP3_prd(X0,X1,X2,X3,X4)|~eqangle(X2,X1,X1,X0,X2,X4,X4,X3))),
% 7.51/1.41 inference(cnf_transformation,[status(thm)],[f401])).
% 7.51/1.41 fof(f446,plain,(
% 7.51/1.41 perp(sK25_skl,sK20_skl,sK24_skl,sK22_skl)),
% 7.51/1.41 inference(resolution,[status(thm)],[f114,f381])).
% 7.51/1.41 fof(f456,plain,(
% 7.51/1.41 ![X0,X1]: (~perp(X0,X1,sK24_skl,sK22_skl)|para(X0,X1,sK25_skl,sK20_skl))),
% 7.51/1.41 inference(resolution,[status(thm)],[f117,f381])).
% 7.51/1.41 fof(f632,plain,(
% 7.51/1.41 ~eqangle(sK23_skl,sK22_skl,sK22_skl,sK24_skl,sK21_skl,sK22_skl,sK22_skl,sK20_skl)|sP1_prd(sK24_skl,sK23_skl,sK22_skl,sK21_skl,sK20_skl)|sP2_prd(sK24_skl,sK23_skl,sK22_skl,sK21_skl,sK20_skl)|sP3_prd(sK24_skl,sK23_skl,sK22_skl,sK21_skl,sK20_skl)|~eqangle(sK22_skl,sK23_skl,sK23_skl,sK24_skl,sK21_skl,sK22_skl,sK22_skl,sK20_skl)|~eqangle(sK22_skl,sK23_skl,sK23_skl,sK24_skl,sK22_skl,sK21_skl,sK21_skl,sK20_skl)),
% 7.51/1.41 inference(backward_subsumption_resolution,[status(thm)],[f383,f387])).
% 7.51/1.41 fof(f1686,plain,(
% 7.51/1.41 ~eqangle(sK23_skl,sK22_skl,sK22_skl,sK24_skl,sK21_skl,sK22_skl,sK22_skl,sK20_skl)|sP1_prd(sK24_skl,sK23_skl,sK22_skl,sK21_skl,sK20_skl)|sP3_prd(sK24_skl,sK23_skl,sK22_skl,sK21_skl,sK20_skl)|~eqangle(sK22_skl,sK23_skl,sK23_skl,sK24_skl,sK21_skl,sK22_skl,sK22_skl,sK20_skl)|~eqangle(sK22_skl,sK23_skl,sK23_skl,sK24_skl,sK22_skl,sK21_skl,sK21_skl,sK20_skl)),
% 7.51/1.41 inference(forward_subsumption_resolution,[status(thm)],[f632,f397])).
% 7.51/1.41 fof(f1781,plain,(
% 7.51/1.41 para(sK25_skl,sK20_skl,sK25_skl,sK20_skl)),
% 7.51/1.41 inference(resolution,[status(thm)],[f456,f446])).
% 7.51/1.41 fof(f1784,plain,(
% 7.51/1.41 ![X0,X1]: (eqangle(sK25_skl,sK20_skl,X0,X1,sK25_skl,sK20_skl,X0,X1))),
% 7.51/1.41 inference(resolution,[status(thm)],[f1781,f189])).
% 7.51/1.41 fof(f2007,plain,(
% 7.51/1.41 ![X0,X1]: (eqangle(sK25_skl,sK20_skl,sK25_skl,sK20_skl,X0,X1,X0,X1))),
% 7.51/1.41 inference(resolution,[status(thm)],[f1784,f144])).
% 7.51/1.41 fof(f2009,plain,(
% 7.51/1.41 ![X0,X1]: (eqangle(X0,X1,sK25_skl,sK20_skl,X0,X1,sK25_skl,sK20_skl))),
% 7.51/1.41 inference(resolution,[status(thm)],[f1784,f140])).
% 7.51/1.41 fof(f2125,plain,(
% 7.51/1.41 ![X0,X1]: (para(X0,X1,X0,X1))),
% 7.51/1.41 inference(resolution,[status(thm)],[f2009,f186])).
% 7.51/1.41 fof(f2170,plain,(
% 7.51/1.41 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X3,X0,X1,X2,X3))),
% 7.51/1.41 inference(resolution,[status(thm)],[f2125,f189])).
% 7.51/1.41 fof(f2174,plain,(
% 7.51/1.41 ![X0,X1]: (para(X0,X1,X1,X0))),
% 7.51/1.41 inference(resolution,[status(thm)],[f2125,f105])).
% 7.51/1.41 fof(f2175,plain,(
% 7.51/1.41 ![X0,X1]: (coll(X0,X1,X1))),
% 7.51/1.41 inference(resolution,[status(thm)],[f2125,f256])).
% 7.51/1.41 fof(f2277,plain,(
% 7.51/1.41 ![X0,X1]: (coll(X0,X1,X0))),
% 7.51/1.41 inference(resolution,[status(thm)],[f2175,f100])).
% 7.51/1.41 fof(f2381,plain,(
% 7.51/1.41 ![X0,X1]: (coll(X0,X0,X1))),
% 7.51/1.41 inference(resolution,[status(thm)],[f2277,f98])).
% 7.51/1.41 fof(f2402,plain,(
% 7.51/1.41 ![X0,X1,X2]: (~coll(X0,X0,X1)|coll(X1,X2,X0))),
% 7.51/1.41 inference(resolution,[status(thm)],[f2381,f103])).
% 7.51/1.41 fof(f2405,plain,(
% 7.51/1.41 ![X0,X1,X2]: (coll(X0,X1,X2))),
% 7.51/1.41 inference(forward_subsumption_resolution,[status(thm)],[f2402,f2381])).
% 7.51/1.41 fof(f2407,plain,(
% 7.51/1.41 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X0,X3,X2,X4)|midp(X3,X1,X4))),
% 7.51/1.41 inference(backward_subsumption_resolution,[status(thm)],[f204,f2405])).
% 7.51/1.41 fof(f2408,plain,(
% 7.51/1.41 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|cyclic(X1,X2,X0,X3))),
% 7.51/1.41 inference(backward_subsumption_resolution,[status(thm)],[f195,f2405])).
% 7.51/1.41 fof(f2417,plain,(
% 7.51/1.41 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X2,X1,X0))),
% 7.51/1.41 inference(resolution,[status(thm)],[f2407,f2174])).
% 7.51/1.41 fof(f2422,plain,(
% 7.51/1.41 ![X0]: (cyclic(sK20_skl,sK20_skl,sK25_skl,X0))),
% 7.51/1.41 inference(resolution,[status(thm)],[f2408,f2007])).
% 7.51/1.41 fof(f2448,plain,(
% 7.51/1.41 ![X0,X1,X2]: (~midp(X0,X1,X1)|~para(X1,X2,X1,X2)|midp(X0,X2,X2))),
% 7.51/1.41 inference(resolution,[status(thm)],[f252,f2125])).
% 7.51/1.41 fof(f2449,plain,(
% 7.51/1.41 ![X0,X1,X2]: (~midp(X0,X1,X1)|midp(X0,X2,X2))),
% 7.51/1.41 inference(forward_subsumption_resolution,[status(thm)],[f2448,f2125])).
% 7.51/1.41 fof(f2478,plain,(
% 7.51/1.41 ![X0,X1]: (~cyclic(sK20_skl,sK20_skl,sK25_skl,X0)|cyclic(sK20_skl,sK25_skl,X0,X1))),
% 7.51/1.41 inference(resolution,[status(thm)],[f2422,f136])).
% 7.51/1.41 fof(f2482,plain,(
% 7.51/1.41 ![X0,X1]: (cyclic(sK20_skl,sK25_skl,X0,X1))),
% 7.51/1.41 inference(forward_subsumption_resolution,[status(thm)],[f2478,f2422])).
% 7.51/1.41 fof(f2484,plain,(
% 7.51/1.41 ![X0,X1,X2]: (~cyclic(sK20_skl,sK25_skl,X0,X1)|cyclic(sK25_skl,X0,X1,X2))),
% 7.51/1.41 inference(resolution,[status(thm)],[f2482,f136])).
% 7.51/1.41 fof(f2488,plain,(
% 7.51/1.41 ![X0,X1,X2]: (cyclic(sK25_skl,X0,X1,X2))),
% 7.51/1.41 inference(forward_subsumption_resolution,[status(thm)],[f2484,f2482])).
% 7.51/1.41 fof(f2490,plain,(
% 7.51/1.41 ![X0,X1,X2,X3]: (~cyclic(sK25_skl,X0,X1,X2)|cyclic(X0,X1,X2,X3))),
% 7.51/1.41 inference(resolution,[status(thm)],[f2488,f136])).
% 7.51/1.41 fof(f2494,plain,(
% 7.51/1.41 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3))),
% 7.51/1.41 inference(forward_subsumption_resolution,[status(thm)],[f2490,f2488])).
% 7.51/1.41 fof(f2495,plain,(
% 7.51/1.41 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X1,X0,X0,X3))),
% 7.51/1.41 inference(backward_subsumption_resolution,[status(thm)],[f235,f2494])).
% 7.51/1.41 fof(f2497,plain,(
% 7.51/1.41 ![X0,X1,X2,X3,X4,X5]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|~eqangle(X2,X0,X2,X1,X5,X3,X5,X4)|cong(X0,X1,X3,X4))),
% 7.51/1.41 inference(backward_subsumption_resolution,[status(thm)],[f198,f2494])).
% 7.51/1.41 fof(f2498,plain,(
% 7.51/1.41 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2))),
% 7.51/1.41 inference(backward_subsumption_resolution,[status(thm)],[f191,f2494])).
% 7.51/1.41 fof(f2499,plain,(
% 7.51/1.41 ![X0,X1,X2,X3,X4,X5]: (~cyclic(X0,X1,X2,X3)|~eqangle(X2,X0,X2,X1,X4,X5,X4,X3)|cong(X0,X1,X5,X3))),
% 7.51/1.41 inference(forward_subsumption_resolution,[status(thm)],[f2497,f2494])).
% 7.51/1.41 fof(f2543,plain,(
% 7.51/1.41 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X1,X2,X3,X2,X3))),
% 7.51/1.41 inference(resolution,[status(thm)],[f2170,f144])).
% 7.51/1.41 fof(f2547,plain,(
% 7.51/1.41 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|midp(X0,X1,X2))),
% 7.51/1.41 inference(forward_subsumption_resolution,[status(thm)],[f258,f2405])).
% 7.51/1.41 fof(f2651,plain,(
% 7.51/1.41 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X0,X2,X3,X4,X3,X5)|cong(X1,X2,X4,X5))),
% 7.51/1.41 inference(forward_subsumption_resolution,[status(thm)],[f2499,f2494])).
% 7.51/1.41 fof(f2652,plain,(
% 7.51/1.41 ![X0,X1]: (cong(X0,X0,X1,X1))),
% 7.51/1.41 inference(resolution,[status(thm)],[f2651,f2543])).
% 7.51/1.41 fof(f2653,plain,(
% 7.51/1.41 ![X0,X1]: (cong(X0,X1,X0,X1))),
% 7.51/1.41 inference(resolution,[status(thm)],[f2651,f2498])).
% 7.51/1.41 fof(f2700,plain,(
% 7.51/1.41 ![X0]: (midp(X0,X0,X0))),
% 7.51/1.41 inference(resolution,[status(thm)],[f2652,f2547])).
% 7.51/1.41 fof(f2708,plain,(
% 7.51/1.41 ![X0,X1]: (midp(X0,X1,X1))),
% 7.51/1.41 inference(resolution,[status(thm)],[f2700,f2449])).
% 7.51/1.41 fof(f2717,plain,(
% 7.51/1.41 ![X0,X1]: (midp(X0,X0,X1))),
% 7.51/1.41 inference(resolution,[status(thm)],[f2708,f2417])).
% 7.51/1.41 fof(f2740,plain,(
% 7.51/1.41 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X1,X0,X0,X2))),
% 7.51/1.41 inference(resolution,[status(thm)],[f2653,f2495])).
% 7.51/1.41 fof(f2747,plain,(
% 7.51/1.41 ![X0,X1,X2]: (perp(X0,X1,X1,X2))),
% 7.51/1.41 inference(forward_subsumption_resolution,[status(thm)],[f2740,f2653])).
% 7.51/1.41 fof(f2774,plain,(
% 7.51/1.42 ![X0,X1,X2]: (~midp(X0,X0,X1)|cong(X2,X0,X2,X1))),
% 7.51/1.42 inference(resolution,[status(thm)],[f2747,f230])).
% 7.51/1.42 fof(f2778,plain,(
% 7.51/1.42 ![X0,X1,X2]: (cong(X0,X1,X0,X2))),
% 7.51/1.42 inference(forward_subsumption_resolution,[status(thm)],[f2774,f2717])).
% 7.51/1.42 fof(f2828,plain,(
% 7.51/1.42 ![X0,X1,X2,X3]: (~cong(X0,X1,X0,X2)|circle(X0,X1,X3,X2))),
% 7.51/1.42 inference(backward_subsumption_resolution,[status(thm)],[f124,f2778])).
% 7.51/1.42 fof(f2829,plain,(
% 7.51/1.42 ![X0,X1,X2]: (midp(X0,X1,X2))),
% 7.51/1.42 inference(backward_subsumption_resolution,[status(thm)],[f2547,f2778])).
% 7.51/1.42 fof(f2835,plain,(
% 7.51/1.42 ![X0,X1,X2,X3]: (circle(X0,X1,X2,X3))),
% 7.51/1.42 inference(forward_subsumption_resolution,[status(thm)],[f2828,f2778])).
% 7.51/1.42 fof(f2837,plain,(
% 7.51/1.42 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|para(X3,X1,X4,X2))),
% 7.51/1.42 inference(backward_subsumption_resolution,[status(thm)],[f249,f2829])).
% 7.51/1.42 fof(f2839,plain,(
% 7.51/1.42 ![X0,X1,X2,X3,X4]: (~circle(X0,X1,X2,X3)|eqangle(X1,X2,X1,X3,X0,X2,X0,X4))),
% 7.51/1.42 inference(backward_subsumption_resolution,[status(thm)],[f216,f2829])).
% 7.51/1.42 fof(f2844,plain,(
% 7.51/1.42 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3))),
% 7.51/1.43 inference(forward_subsumption_resolution,[status(thm)],[f2837,f2829])).
% 7.51/1.43 fof(f2873,plain,(
% 7.51/1.43 ![X0,X1,X2,X3,X4,X5]: (eqangle(X0,X1,X2,X3,X4,X5,X2,X3))),
% 7.51/1.43 inference(backward_subsumption_resolution,[status(thm)],[f189,f2844])).
% 7.51/1.43 fof(f2935,plain,(
% 7.51/1.43 ![X0,X1,X2,X3,X4]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X4))),
% 7.51/1.43 inference(forward_subsumption_resolution,[status(thm)],[f2839,f2835])).
% 7.51/1.43 fof(f2951,plain,(
% 7.51/1.43 ![X0,X1,X2,X3,X4]: (eqangle(X0,X1,X1,X2,X3,X0,X3,X4))),
% 7.51/1.43 inference(resolution,[status(thm)],[f2935,f138])).
% 7.51/1.43 fof(f3078,plain,(
% 7.51/1.43 ![X0,X1,X2,X3,X4,X5]: (eqangle(X0,X1,X2,X3,X4,X5,X4,X5))),
% 7.51/1.43 inference(resolution,[status(thm)],[f2873,f144])).
% 7.51/1.43 fof(f3271,plain,(
% 7.51/1.43 ![X0,X1,X2,X3,X4]: (eqangle(X0,X1,X0,X2,X1,X3,X3,X4))),
% 7.51/1.43 inference(resolution,[status(thm)],[f2951,f142])).
% 7.51/1.43 fof(f3565,plain,(
% 7.51/1.43 ![X0,X1,X2,X3,X4,X5]: (eqangle(X0,X1,X0,X1,X2,X3,X4,X5))),
% 7.51/1.43 inference(resolution,[status(thm)],[f3078,f142])).
% 7.51/1.43 fof(f3780,plain,(
% 7.51/1.43 ![X0,X1,X2,X3,X4]: (eqangle(X0,X1,X1,X2,X0,X3,X3,X4))),
% 7.51/1.43 inference(resolution,[status(thm)],[f3271,f138])).
% 7.51/1.43 fof(f4334,plain,(
% 7.51/1.43 ![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))),
% 7.51/1.43 inference(resolution,[status(thm)],[f3565,f147])).
% 7.51/1.43 fof(f4339,plain,(
% 7.51/1.43 ![X0,X1,X2,X3,X4,X5,X6,X7]: (eqangle(X0,X1,X2,X3,X4,X5,X6,X7))),
% 7.51/1.43 inference(forward_subsumption_resolution,[status(thm)],[f4334,f3078])).
% 7.51/1.43 fof(f4534,plain,(
% 7.51/1.43 ~eqangle(sK23_skl,sK22_skl,sK22_skl,sK24_skl,sK21_skl,sK22_skl,sK22_skl,sK20_skl)|sP1_prd(sK24_skl,sK23_skl,sK22_skl,sK21_skl,sK20_skl)|sP3_prd(sK24_skl,sK23_skl,sK22_skl,sK21_skl,sK20_skl)|~eqangle(sK22_skl,sK23_skl,sK23_skl,sK24_skl,sK21_skl,sK22_skl,sK22_skl,sK20_skl)),
% 7.51/1.43 inference(backward_subsumption_resolution,[status(thm)],[f1686,f3780])).
% 7.51/1.43 fof(f4535,plain,(
% 7.51/1.43 ![X0,X1,X2,X3,X4]: (~sP3_prd(X0,X1,X2,X3,X4))),
% 7.51/1.43 inference(backward_subsumption_resolution,[status(thm)],[f402,f3780])).
% 7.51/1.43 fof(f4536,plain,(
% 7.51/1.43 ![X0,X1,X2,X3,X4]: (~sP1_prd(X0,X1,X2,X3,X4))),
% 7.51/1.43 inference(backward_subsumption_resolution,[status(thm)],[f392,f3780])).
% 7.51/1.43 fof(f4567,plain,(
% 7.51/1.43 ~eqangle(sK23_skl,sK22_skl,sK22_skl,sK24_skl,sK21_skl,sK22_skl,sK22_skl,sK20_skl)|sP3_prd(sK24_skl,sK23_skl,sK22_skl,sK21_skl,sK20_skl)|~eqangle(sK22_skl,sK23_skl,sK23_skl,sK24_skl,sK21_skl,sK22_skl,sK22_skl,sK20_skl)),
% 7.51/1.43 inference(forward_subsumption_resolution,[status(thm)],[f4534,f4536])).
% 7.51/1.43 fof(f4694,plain,(
% 7.51/1.43 sP3_prd(sK24_skl,sK23_skl,sK22_skl,sK21_skl,sK20_skl)|~eqangle(sK22_skl,sK23_skl,sK23_skl,sK24_skl,sK21_skl,sK22_skl,sK22_skl,sK20_skl)),
% 7.51/1.43 inference(backward_subsumption_resolution,[status(thm)],[f4567,f4339])).
% 7.51/1.43 fof(f4698,plain,(
% 7.51/1.43 ~eqangle(sK22_skl,sK23_skl,sK23_skl,sK24_skl,sK21_skl,sK22_skl,sK22_skl,sK20_skl)),
% 7.51/1.43 inference(forward_subsumption_resolution,[status(thm)],[f4694,f4535])).
% 7.51/1.43 fof(f4715,plain,(
% 7.51/1.43 $false),
% 7.51/1.43 inference(forward_subsumption_resolution,[status(thm)],[f4698,f4339])).
% 7.51/1.43 % SZS output end CNFRefutation for theBenchmark.p
% 7.51/1.45 % Elapsed time: 1.074394 seconds
% 7.51/1.45 % CPU time: 7.997644 seconds
% 7.51/1.45 % Total memory used: 118.805 MB
% 7.51/1.45 % Net memory used: 113.714 MB
%------------------------------------------------------------------------------