%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO617+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 : n010.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 0.14s 15.61s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO617+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/15.38 % Computer : n010.cluster.edu
% 0.09/15.38 % Model : x86_64 x86_64
% 0.09/15.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/15.38 % Memory : 8046.5625MB
% 0.09/15.38 % OS : Linux 6.8.0-71-generic
% 0.09/15.38 % CPULimit : 300
% 0.09/15.38 % WCLimit : 300
% 0.09/15.38 % DateTime : Sun Sep 20 18:00:13 UTC 2026
% 0.09/15.39 % CPUTime :
% 0.14/15.40 % Drodi V4.1.1
% 0.14/15.61 % Refutation found
% 0.14/15.61 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/15.61 % SZS output start CNFRefutation for theBenchmark
% 0.14/15.61 fof(f1,axiom,(
% 0.14/15.61 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 0.14/15.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/15.61 fof(f2,axiom,(
% 0.14/15.61 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 0.14/15.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/15.61 fof(f3,axiom,(
% 0.14/15.61 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 0.14/15.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/15.61 fof(f4,axiom,(
% 0.14/15.61 (! [A,B,C,D] :( para(A,B,C,D)=> para(A,B,D,C) ) )),
% 0.14/15.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/15.61 fof(f8,axiom,(
% 0.14/15.61 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 0.14/15.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/15.61 fof(f9,axiom,(
% 0.14/15.61 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 0.14/15.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/15.61 fof(f12,axiom,(
% 0.14/15.61 (! [A,B,C,O] :( ( cong(O,A,O,B)& cong(O,A,O,C) )=> circle(O,A,B,C) ) )),
% 0.14/15.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/15.61 fof(f17,axiom,(
% 0.14/15.61 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 0.14/15.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/15.61 fof(f18,axiom,(
% 0.14/15.61 (! [A,B,C,D,P,Q,U,V] :( eqangle(A,B,C,D,P,Q,U,V)=> eqangle(B,A,C,D,P,Q,U,V) ) )),
% 0.14/15.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/15.61 fof(f19,axiom,(
% 0.14/15.61 (! [A,B,C,D,P,Q,U,V] :( eqangle(A,B,C,D,P,Q,U,V)=> eqangle(C,D,A,B,U,V,P,Q) ) )),
% 0.14/15.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/15.61 fof(f21,axiom,(
% 0.14/15.61 (! [A,B,C,D,P,Q,U,V] :( eqangle(A,B,C,D,P,Q,U,V)=> eqangle(A,B,P,Q,C,D,U,V) ) )),
% 0.14/15.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/15.61 fof(f22,axiom,(
% 0.14/15.61 (! [A,B,C,D,P,Q,U,V,E,F,G,H] :( ( eqangle(A,B,C,D,P,Q,U,V)& eqangle(P,Q,U,V,E,F,G,H) )=> eqangle(A,B,C,D,E,F,G,H) ) )),
% 0.14/15.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/15.61 fof(f23,axiom,(
% 0.14/15.61 (! [A,B,C,D] :( cong(A,B,C,D)=> cong(A,B,D,C) ) )),
% 0.14/15.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/15.61 fof(f39,axiom,(
% 0.14/15.61 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 0.14/15.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/15.61 fof(f40,axiom,(
% 0.14/15.61 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 0.14/15.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/15.61 fof(f41,axiom,(
% 0.14/15.61 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 0.14/15.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/15.61 fof(f43,axiom,(
% 0.14/15.61 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 0.14/15.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/15.61 fof(f44,axiom,(
% 0.14/15.61 (! [A,B,C,P,Q,R] :( ( cyclic(A,B,C,P)& cyclic(A,B,C,Q)& cyclic(A,B,C,R)& eqangle(C,A,C,B,R,P,R,Q) )=> cong(A,B,P,Q) ) )),
% 0.14/15.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/15.61 fof(f46,axiom,(
% 0.14/15.61 (! [A,B,C,E,F] :( ( midp(E,A,B)& para(E,F,B,C)& coll(F,A,C) )=> midp(F,A,C) ) )),
% 0.14/15.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/15.61 fof(f49,axiom,(
% 0.14/15.61 (! [A,B,C,O,X] :( ( circle(O,A,B,C)& perp(O,A,A,X) )=> eqangle(A,X,A,B,C,A,C,B) ) )),
% 0.14/15.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/15.61 fof(f53,axiom,(
% 0.14/15.61 (! [A,B,C,M] :( ( perp(A,B,B,C)& midp(M,A,C) )=> cong(A,M,B,M) ) )),
% 0.14/15.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/15.61 fof(f57,axiom,(
% 0.14/15.61 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 0.14/15.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/15.61 fof(f58,axiom,(
% 0.14/15.61 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q)& cyclic(A,B,P,Q) )=> perp(P,A,A,Q) ) )),
% 0.14/15.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/15.61 fof(f67,axiom,(
% 0.14/15.61 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 0.14/15.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/15.61 fof(f68,axiom,(
% 0.14/15.61 (! [A,B,C] :( ( cong(A,B,A,C)& coll(A,B,C) )=> midp(A,B,C) ) )),
% 0.14/15.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/15.61 fof(f69,axiom,(
% 0.14/15.61 (! [A,B,C] :( midp(A,B,C)=> cong(A,B,A,C) ) )),
% 0.14/15.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/15.61 fof(f95,conjecture,(
% 0.14/15.61 (! [A,B,C,D,E,F] :( ( circle(D,A,B,C)& eqangle(E,C,C,B,E,C,C,A)& coll(E,A,B)& perp(F,C,A,B)& coll(F,A,B) )=> eqangle(F,C,C,E,E,C,C,D) ) )),
% 0.14/15.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/15.61 fof(f96,negated_conjecture,(
% 0.14/15.61 ~((! [A,B,C,D,E,F] :( ( circle(D,A,B,C)& eqangle(E,C,C,B,E,C,C,A)& coll(E,A,B)& perp(F,C,A,B)& coll(F,A,B) )=> eqangle(F,C,C,E,E,C,C,D) ) ))),
% 0.14/15.61 inference(negated_conjecture,[status(cth)],[f95])).
% 0.14/15.61 fof(f97,plain,(
% 0.14/15.61 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 0.14/15.61 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.14/15.61 fof(f98,plain,(
% 0.14/15.61 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 0.14/15.61 inference(cnf_transformation,[status(thm)],[f97])).
% 0.14/15.61 fof(f99,plain,(
% 0.14/15.61 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 0.14/15.61 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.14/15.61 fof(f100,plain,(
% 0.14/15.61 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 0.14/15.61 inference(cnf_transformation,[status(thm)],[f99])).
% 0.14/15.61 fof(f101,plain,(
% 0.14/15.61 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 0.14/15.61 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.14/15.61 fof(f102,plain,(
% 0.14/15.61 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 0.14/15.61 inference(miniscoping,[status(thm)],[f101])).
% 0.14/15.61 fof(f103,plain,(
% 0.14/15.61 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 0.14/15.61 inference(cnf_transformation,[status(thm)],[f102])).
% 0.14/15.61 fof(f104,plain,(
% 0.14/15.61 ![A,B,C,D]: (~para(A,B,C,D)|para(A,B,D,C))),
% 0.14/15.61 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.14/15.61 fof(f105,plain,(
% 0.14/15.61 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X0,X1,X3,X2))),
% 0.14/15.61 inference(cnf_transformation,[status(thm)],[f104])).
% 0.14/15.61 fof(f113,plain,(
% 0.14/15.61 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 0.14/15.61 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.14/15.61 fof(f114,plain,(
% 0.14/15.61 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 0.14/15.61 inference(cnf_transformation,[status(thm)],[f113])).
% 0.14/15.61 fof(f115,plain,(
% 0.14/15.61 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 0.14/15.61 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.14/15.61 fof(f116,plain,(
% 0.14/15.61 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 0.14/15.61 inference(miniscoping,[status(thm)],[f115])).
% 0.14/15.61 fof(f117,plain,(
% 0.14/15.61 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 0.14/15.61 inference(cnf_transformation,[status(thm)],[f116])).
% 0.14/15.61 fof(f123,plain,(
% 0.14/15.61 ![A,B,C,O]: ((~cong(O,A,O,B)|~cong(O,A,O,C))|circle(O,A,B,C))),
% 0.14/15.61 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 0.14/15.61 fof(f124,plain,(
% 0.14/15.61 ![X0,X1,X2,X3]: (~cong(X0,X1,X0,X2)|~cong(X0,X1,X0,X3)|circle(X0,X1,X2,X3))),
% 0.14/15.61 inference(cnf_transformation,[status(thm)],[f123])).
% 0.14/15.61 fof(f134,plain,(
% 0.14/15.61 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 0.14/15.61 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 0.14/15.61 fof(f135,plain,(
% 0.14/15.61 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 0.14/15.61 inference(miniscoping,[status(thm)],[f134])).
% 0.14/15.61 fof(f136,plain,(
% 0.14/15.61 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 0.14/15.61 inference(cnf_transformation,[status(thm)],[f135])).
% 0.14/15.61 fof(f137,plain,(
% 0.14/15.61 ![A,B,C,D,P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|eqangle(B,A,C,D,P,Q,U,V))),
% 0.14/15.61 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 0.14/15.61 fof(f138,plain,(
% 0.14/15.61 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|eqangle(X1,X0,X2,X3,X4,X5,X6,X7))),
% 0.14/15.61 inference(cnf_transformation,[status(thm)],[f137])).
% 0.14/15.61 fof(f139,plain,(
% 0.14/15.61 ![A,B,C,D,P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|eqangle(C,D,A,B,U,V,P,Q))),
% 0.14/15.61 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 0.14/15.61 fof(f140,plain,(
% 0.14/15.61 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|eqangle(X2,X3,X0,X1,X6,X7,X4,X5))),
% 0.14/15.61 inference(cnf_transformation,[status(thm)],[f139])).
% 0.14/15.61 fof(f143,plain,(
% 0.14/15.61 ![A,B,C,D,P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|eqangle(A,B,P,Q,C,D,U,V))),
% 0.14/15.61 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 0.14/15.61 fof(f144,plain,(
% 0.14/15.61 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|eqangle(X0,X1,X4,X5,X2,X3,X6,X7))),
% 0.14/15.61 inference(cnf_transformation,[status(thm)],[f143])).
% 0.14/15.61 fof(f145,plain,(
% 0.14/15.61 ![A,B,C,D,P,Q,U,V,E,F,G,H]: ((~eqangle(A,B,C,D,P,Q,U,V)|~eqangle(P,Q,U,V,E,F,G,H))|eqangle(A,B,C,D,E,F,G,H))),
% 0.14/15.61 inference(pre_NNF_transformation,[status(thm)],[f22])).
% 0.14/15.61 fof(f146,plain,(
% 0.14/15.61 ![A,B,C,D,E,F,G,H]: ((![P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|~eqangle(P,Q,U,V,E,F,G,H)))|eqangle(A,B,C,D,E,F,G,H))),
% 0.14/15.61 inference(miniscoping,[status(thm)],[f145])).
% 0.14/15.61 fof(f147,plain,(
% 0.14/15.61 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|~eqangle(X4,X5,X6,X7,X8,X9,X10,X11)|eqangle(X0,X1,X2,X3,X8,X9,X10,X11))),
% 0.14/15.61 inference(cnf_transformation,[status(thm)],[f146])).
% 0.14/15.61 fof(f148,plain,(
% 0.14/15.61 ![A,B,C,D]: (~cong(A,B,C,D)|cong(A,B,D,C))),
% 0.14/15.61 inference(pre_NNF_transformation,[status(thm)],[f23])).
% 0.14/15.61 fof(f149,plain,(
% 0.14/15.61 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X3)|cong(X0,X1,X3,X2))),
% 0.14/15.61 inference(cnf_transformation,[status(thm)],[f148])).
% 0.14/15.61 fof(f184,plain,(
% 0.14/15.61 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 0.14/15.61 inference(pre_NNF_transformation,[status(thm)],[f39])).
% 0.14/15.61 fof(f185,plain,(
% 0.14/15.61 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 0.14/15.61 inference(miniscoping,[status(thm)],[f184])).
% 0.14/15.61 fof(f186,plain,(
% 0.14/15.61 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 0.14/15.61 inference(cnf_transformation,[status(thm)],[f185])).
% 0.14/15.61 fof(f187,plain,(
% 0.14/15.61 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 0.14/15.61 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 0.14/15.61 fof(f188,plain,(
% 0.14/15.61 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 0.14/15.61 inference(miniscoping,[status(thm)],[f187])).
% 0.14/15.61 fof(f189,plain,(
% 0.14/15.61 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 0.14/15.61 inference(cnf_transformation,[status(thm)],[f188])).
% 0.14/15.61 fof(f190,plain,(
% 0.14/15.61 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 0.14/15.61 inference(pre_NNF_transformation,[status(thm)],[f41])).
% 0.14/15.61 fof(f191,plain,(
% 0.14/15.61 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 0.14/15.61 inference(cnf_transformation,[status(thm)],[f190])).
% 0.14/15.61 fof(f194,plain,(
% 0.14/15.61 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 0.14/15.61 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 0.14/15.61 fof(f195,plain,(
% 0.14/15.61 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 0.14/15.61 inference(cnf_transformation,[status(thm)],[f194])).
% 0.14/15.61 fof(f196,plain,(
% 0.14/15.61 ![A,B,C,P,Q,R]: ((((~cyclic(A,B,C,P)|~cyclic(A,B,C,Q))|~cyclic(A,B,C,R))|~eqangle(C,A,C,B,R,P,R,Q))|cong(A,B,P,Q))),
% 0.14/15.61 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 0.14/15.61 fof(f197,plain,(
% 0.14/15.61 ![A,B,P,Q]: ((![C,R]: (((~cyclic(A,B,C,P)|~cyclic(A,B,C,Q))|~cyclic(A,B,C,R))|~eqangle(C,A,C,B,R,P,R,Q)))|cong(A,B,P,Q))),
% 0.14/15.61 inference(miniscoping,[status(thm)],[f196])).
% 0.14/15.61 fof(f198,plain,(
% 0.14/15.61 ![X0,X1,X2,X3,X4,X5]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|~cyclic(X0,X1,X2,X5)|~eqangle(X2,X0,X2,X1,X5,X3,X5,X4)|cong(X0,X1,X3,X4))),
% 0.14/15.61 inference(cnf_transformation,[status(thm)],[f197])).
% 0.14/15.61 fof(f202,plain,(
% 0.14/15.61 ![A,B,C,E,F]: (((~midp(E,A,B)|~para(E,F,B,C))|~coll(F,A,C))|midp(F,A,C))),
% 0.14/15.61 inference(pre_NNF_transformation,[status(thm)],[f46])).
% 0.14/15.61 fof(f203,plain,(
% 0.14/15.61 ![A,C,F]: (((![B,E]: (~midp(E,A,B)|~para(E,F,B,C)))|~coll(F,A,C))|midp(F,A,C))),
% 0.14/15.61 inference(miniscoping,[status(thm)],[f202])).
% 0.14/15.61 fof(f204,plain,(
% 0.14/15.61 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X0,X3,X2,X4)|~coll(X3,X1,X4)|midp(X3,X1,X4))),
% 0.14/15.61 inference(cnf_transformation,[status(thm)],[f203])).
% 0.14/15.61 fof(f209,plain,(
% 0.14/15.61 ![A,B,C,O,X]: ((~circle(O,A,B,C)|~perp(O,A,A,X))|eqangle(A,X,A,B,C,A,C,B))),
% 0.14/15.61 inference(pre_NNF_transformation,[status(thm)],[f49])).
% 0.14/15.61 fof(f210,plain,(
% 0.14/15.61 ![A,B,C,X]: ((![O]: (~circle(O,A,B,C)|~perp(O,A,A,X)))|eqangle(A,X,A,B,C,A,C,B))),
% 0.14/15.61 inference(miniscoping,[status(thm)],[f209])).
% 0.14/15.61 fof(f211,plain,(
% 0.14/15.61 ![X0,X1,X2,X3,X4]: (~circle(X0,X1,X2,X3)|~perp(X0,X1,X1,X4)|eqangle(X1,X4,X1,X2,X3,X1,X3,X2))),
% 0.14/15.61 inference(cnf_transformation,[status(thm)],[f210])).
% 0.14/15.61 fof(f220,plain,(
% 0.14/15.61 ![A,B,C,M]: ((~perp(A,B,B,C)|~midp(M,A,C))|cong(A,M,B,M))),
% 0.14/15.61 inference(pre_NNF_transformation,[status(thm)],[f53])).
% 0.14/15.61 fof(f221,plain,(
% 0.14/15.61 ![A,B,M]: ((![C]: (~perp(A,B,B,C)|~midp(M,A,C)))|cong(A,M,B,M))),
% 0.14/15.61 inference(miniscoping,[status(thm)],[f220])).
% 0.14/15.61 fof(f222,plain,(
% 0.14/15.61 ![X0,X1,X2,X3]: (~perp(X0,X1,X1,X2)|~midp(X3,X0,X2)|cong(X0,X3,X1,X3))),
% 0.14/15.61 inference(cnf_transformation,[status(thm)],[f221])).
% 0.14/15.61 fof(f231,plain,(
% 0.14/15.61 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 0.14/15.61 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 0.14/15.61 fof(f232,plain,(
% 0.14/15.61 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 0.14/15.61 inference(cnf_transformation,[status(thm)],[f231])).
% 0.14/15.61 fof(f233,plain,(
% 0.14/15.61 ![A,B,P,Q]: (((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q))|perp(P,A,A,Q))),
% 0.14/15.61 inference(pre_NNF_transformation,[status(thm)],[f58])).
% 0.14/15.61 fof(f234,plain,(
% 0.14/15.61 ![A,P,Q]: ((![B]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q)))|perp(P,A,A,Q))),
% 0.14/15.61 inference(miniscoping,[status(thm)],[f233])).
% 0.14/15.61 fof(f235,plain,(
% 0.14/15.61 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|~cyclic(X0,X2,X1,X3)|perp(X1,X0,X0,X3))),
% 0.14/15.61 inference(cnf_transformation,[status(thm)],[f234])).
% 0.14/15.61 fof(f255,plain,(
% 0.14/15.61 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 0.14/15.61 inference(pre_NNF_transformation,[status(thm)],[f67])).
% 0.14/15.61 fof(f256,plain,(
% 0.14/15.61 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 0.14/15.61 inference(cnf_transformation,[status(thm)],[f255])).
% 0.14/15.61 fof(f257,plain,(
% 0.14/15.61 ![A,B,C]: ((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))),
% 0.14/15.61 inference(pre_NNF_transformation,[status(thm)],[f68])).
% 0.14/15.61 fof(f258,plain,(
% 0.14/15.61 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|~coll(X0,X1,X2)|midp(X0,X1,X2))),
% 0.14/15.61 inference(cnf_transformation,[status(thm)],[f257])).
% 0.14/15.61 fof(f259,plain,(
% 0.14/15.61 ![A,B,C]: (~midp(A,B,C)|cong(A,B,A,C))),
% 0.14/15.61 inference(pre_NNF_transformation,[status(thm)],[f69])).
% 0.14/15.61 fof(f260,plain,(
% 0.14/15.61 ![X0,X1,X2]: (~midp(X0,X1,X2)|cong(X0,X1,X0,X2))),
% 0.14/15.61 inference(cnf_transformation,[status(thm)],[f259])).
% 0.14/15.61 fof(f369,plain,(
% 0.14/15.61 (?[A,B,C,D,E,F]: (((((circle(D,A,B,C)&eqangle(E,C,C,B,E,C,C,A))&coll(E,A,B))&perp(F,C,A,B))&coll(F,A,B))&~eqangle(F,C,C,E,E,C,C,D)))),
% 0.14/15.61 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 0.14/15.61 fof(f370,plain,(
% 0.14/15.61 ?[C,D,E,F]: ((?[A,B]: ((((circle(D,A,B,C)&eqangle(E,C,C,B,E,C,C,A))&coll(E,A,B))&perp(F,C,A,B))&coll(F,A,B)))&~eqangle(F,C,C,E,E,C,C,D))),
% 0.14/15.61 inference(miniscoping,[status(thm)],[f369])).
% 0.14/15.61 fof(f371,plain,(
% 0.14/15.61 (((((circle(sK21_skl,sK24_skl,sK25_skl,sK20_skl)&eqangle(sK22_skl,sK20_skl,sK20_skl,sK25_skl,sK22_skl,sK20_skl,sK20_skl,sK24_skl))&coll(sK22_skl,sK24_skl,sK25_skl))&perp(sK23_skl,sK20_skl,sK24_skl,sK25_skl))&coll(sK23_skl,sK24_skl,sK25_skl))&~eqangle(sK23_skl,sK20_skl,sK20_skl,sK22_skl,sK22_skl,sK20_skl,sK20_skl,sK21_skl))),
% 0.14/15.61 inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl,sK21_skl,sK22_skl,sK23_skl,sK24_skl,sK25_skl]),skolemize(C,sK20_skl),skolemize(D,sK21_skl),skolemize(E,sK22_skl),skolemize(F,sK23_skl),skolemize(A,sK24_skl),skolemize(B,sK25_skl)],[f370])).
% 0.14/15.61 fof(f375,plain,(
% 0.14/15.61 perp(sK23_skl,sK20_skl,sK24_skl,sK25_skl)),
% 0.14/15.61 inference(cnf_transformation,[status(thm)],[f371])).
% 0.14/15.61 fof(f377,plain,(
% 0.14/15.61 ~eqangle(sK23_skl,sK20_skl,sK20_skl,sK22_skl,sK22_skl,sK20_skl,sK20_skl,sK21_skl)),
% 0.14/15.61 inference(cnf_transformation,[status(thm)],[f371])).
% 0.14/15.61 fof(f417,plain,(
% 0.14/15.61 perp(sK24_skl,sK25_skl,sK23_skl,sK20_skl)),
% 0.14/15.61 inference(resolution,[status(thm)],[f114,f375])).
% 0.14/15.61 fof(f424,plain,(
% 0.14/15.61 ![X0,X1]: (~perp(X0,X1,sK24_skl,sK25_skl)|para(X0,X1,sK23_skl,sK20_skl))),
% 0.14/15.61 inference(resolution,[status(thm)],[f117,f417])).
% 0.14/15.61 fof(f887,plain,(
% 0.14/15.61 para(sK23_skl,sK20_skl,sK23_skl,sK20_skl)),
% 0.14/15.61 inference(resolution,[status(thm)],[f424,f375])).
% 0.14/15.61 fof(f1193,plain,(
% 0.14/15.61 ![X0,X1]: (eqangle(sK23_skl,sK20_skl,X0,X1,sK23_skl,sK20_skl,X0,X1))),
% 0.14/15.61 inference(resolution,[status(thm)],[f189,f887])).
% 0.14/15.61 fof(f1573,plain,(
% 0.14/15.61 ![X0,X1]: (eqangle(sK23_skl,sK20_skl,sK23_skl,sK20_skl,X0,X1,X0,X1))),
% 0.14/15.61 inference(resolution,[status(thm)],[f1193,f144])).
% 0.14/15.61 fof(f1575,plain,(
% 0.14/15.61 ![X0,X1]: (eqangle(X0,X1,sK23_skl,sK20_skl,X0,X1,sK23_skl,sK20_skl))),
% 0.14/15.61 inference(resolution,[status(thm)],[f1193,f140])).
% 0.14/15.61 fof(f1726,plain,(
% 0.14/15.61 ![X0,X1]: (para(X0,X1,X0,X1))),
% 0.14/15.61 inference(resolution,[status(thm)],[f1575,f186])).
% 0.14/15.61 fof(f1741,plain,(
% 0.14/15.61 ![X0,X1]: (para(X0,X1,X1,X0))),
% 0.14/15.61 inference(resolution,[status(thm)],[f1726,f105])).
% 0.14/15.61 fof(f1742,plain,(
% 0.14/15.61 ![X0,X1]: (coll(X0,X1,X1))),
% 0.14/15.61 inference(resolution,[status(thm)],[f1726,f256])).
% 0.14/15.61 fof(f1844,plain,(
% 0.14/15.61 ![X0,X1]: (coll(X0,X1,X0))),
% 0.14/15.61 inference(resolution,[status(thm)],[f1742,f100])).
% 0.14/15.61 fof(f1969,plain,(
% 0.14/15.61 ![X0,X1]: (coll(X0,X0,X1))),
% 0.14/15.61 inference(resolution,[status(thm)],[f1844,f98])).
% 0.14/15.61 fof(f1990,plain,(
% 0.14/15.61 ![X0,X1,X2]: (~coll(X0,X0,X1)|coll(X1,X2,X0))),
% 0.14/15.61 inference(resolution,[status(thm)],[f1969,f103])).
% 0.14/15.61 fof(f1993,plain,(
% 0.14/15.61 ![X0,X1,X2]: (coll(X0,X1,X2))),
% 0.14/15.61 inference(forward_subsumption_resolution,[status(thm)],[f1990,f1969])).
% 0.14/15.61 fof(f1994,plain,(
% 0.14/15.61 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X0,X3,X2,X4)|midp(X3,X1,X4))),
% 0.14/15.61 inference(backward_subsumption_resolution,[status(thm)],[f204,f1993])).
% 0.14/15.61 fof(f1995,plain,(
% 0.14/15.61 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|cyclic(X1,X2,X0,X3))),
% 0.14/15.61 inference(backward_subsumption_resolution,[status(thm)],[f195,f1993])).
% 0.14/15.61 fof(f2013,plain,(
% 0.14/15.61 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X2,X1,X0))),
% 0.14/15.61 inference(resolution,[status(thm)],[f1994,f1741])).
% 0.14/15.61 fof(f2014,plain,(
% 0.14/15.61 ![X0,X1,X2]: (~midp(X0,X1,X0)|midp(X2,X1,X2))),
% 0.14/15.61 inference(resolution,[status(thm)],[f1994,f1726])).
% 0.14/15.61 fof(f2017,plain,(
% 0.14/15.61 ![X0]: (cyclic(sK20_skl,sK20_skl,sK23_skl,X0))),
% 0.14/15.61 inference(resolution,[status(thm)],[f1995,f1573])).
% 0.14/15.61 fof(f2038,plain,(
% 0.14/15.61 ![X0,X1]: (~cyclic(sK20_skl,sK20_skl,sK23_skl,X0)|cyclic(sK20_skl,sK23_skl,X0,X1))),
% 0.14/15.61 inference(resolution,[status(thm)],[f2017,f136])).
% 0.14/15.61 fof(f2042,plain,(
% 0.14/15.61 ![X0,X1]: (cyclic(sK20_skl,sK23_skl,X0,X1))),
% 0.14/15.61 inference(forward_subsumption_resolution,[status(thm)],[f2038,f2017])).
% 0.14/15.61 fof(f2044,plain,(
% 0.14/15.61 ![X0,X1,X2]: (~cyclic(sK20_skl,sK23_skl,X0,X1)|cyclic(sK23_skl,X0,X1,X2))),
% 0.14/15.61 inference(resolution,[status(thm)],[f2042,f136])).
% 0.14/15.61 fof(f2048,plain,(
% 0.14/15.61 ![X0,X1,X2]: (cyclic(sK23_skl,X0,X1,X2))),
% 0.14/15.61 inference(forward_subsumption_resolution,[status(thm)],[f2044,f2042])).
% 0.14/15.61 fof(f2050,plain,(
% 0.14/15.61 ![X0,X1,X2,X3]: (~cyclic(sK23_skl,X0,X1,X2)|cyclic(X0,X1,X2,X3))),
% 0.14/15.61 inference(resolution,[status(thm)],[f2048,f136])).
% 0.14/15.61 fof(f2054,plain,(
% 0.14/15.61 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3))),
% 0.14/15.61 inference(forward_subsumption_resolution,[status(thm)],[f2050,f2048])).
% 0.14/15.61 fof(f2055,plain,(
% 0.14/15.61 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X1,X0,X0,X3))),
% 0.14/15.61 inference(backward_subsumption_resolution,[status(thm)],[f235,f2054])).
% 0.14/15.62 fof(f2057,plain,(
% 0.14/15.62 ![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))),
% 0.14/15.62 inference(backward_subsumption_resolution,[status(thm)],[f198,f2054])).
% 0.14/15.62 fof(f2058,plain,(
% 0.14/15.62 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2))),
% 0.14/15.62 inference(backward_subsumption_resolution,[status(thm)],[f191,f2054])).
% 0.14/15.62 fof(f2059,plain,(
% 0.14/15.62 ![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))),
% 0.14/15.62 inference(forward_subsumption_resolution,[status(thm)],[f2057,f2054])).
% 0.14/15.62 fof(f2115,plain,(
% 0.14/15.62 ![X0,X1,X2,X3]: (eqangle(X0,X1,X1,X2,X3,X0,X3,X2))),
% 0.14/15.62 inference(resolution,[status(thm)],[f2058,f138])).
% 0.14/15.62 fof(f2192,plain,(
% 0.14/15.62 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X0,X2,X3,X4,X3,X5)|cong(X1,X2,X4,X5))),
% 0.14/15.62 inference(forward_subsumption_resolution,[status(thm)],[f2059,f2054])).
% 0.14/15.62 fof(f2197,plain,(
% 0.14/15.62 ![X0,X1]: (cong(X0,X1,X0,X1))),
% 0.14/15.62 inference(resolution,[status(thm)],[f2192,f2115])).
% 0.14/15.62 fof(f2213,plain,(
% 0.14/15.62 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X1,X0,X0,X2))),
% 0.14/15.62 inference(resolution,[status(thm)],[f2197,f2055])).
% 0.14/15.62 fof(f2218,plain,(
% 0.14/15.62 ![X0,X1]: (cong(X0,X1,X1,X0))),
% 0.14/15.62 inference(resolution,[status(thm)],[f2197,f149])).
% 0.14/15.62 fof(f2220,plain,(
% 0.14/15.62 ![X0,X1,X2]: (perp(X0,X1,X1,X2))),
% 0.14/15.62 inference(forward_subsumption_resolution,[status(thm)],[f2213,f2197])).
% 0.14/15.62 fof(f2232,plain,(
% 0.14/15.62 ![X0,X1,X2,X3]: (~midp(X0,X1,X2)|cong(X1,X0,X3,X0))),
% 0.14/15.62 inference(backward_subsumption_resolution,[status(thm)],[f222,f2220])).
% 0.14/15.62 fof(f2233,plain,(
% 0.14/15.62 ![X0,X1,X2,X3,X4]: (~circle(X0,X1,X2,X3)|eqangle(X1,X4,X1,X2,X3,X1,X3,X2))),
% 0.14/15.62 inference(backward_subsumption_resolution,[status(thm)],[f211,f2220])).
% 0.14/15.62 fof(f2351,plain,(
% 0.14/15.62 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|midp(X0,X1,X2))),
% 0.14/15.62 inference(forward_subsumption_resolution,[status(thm)],[f258,f1993])).
% 0.14/15.62 fof(f2352,plain,(
% 0.14/15.62 ![X0]: (midp(X0,X0,X0))),
% 0.14/15.62 inference(resolution,[status(thm)],[f2351,f2218])).
% 0.14/15.62 fof(f2354,plain,(
% 0.14/15.62 ![X0,X1]: (midp(X0,X1,X1))),
% 0.14/15.62 inference(resolution,[status(thm)],[f2351,f2197])).
% 0.14/15.62 fof(f2356,plain,(
% 0.14/15.62 ![X0,X1]: (midp(X0,X1,X0))),
% 0.14/15.62 inference(resolution,[status(thm)],[f2352,f2014])).
% 0.14/15.62 fof(f2363,plain,(
% 0.14/15.62 ![X0,X1]: (midp(X0,X0,X1))),
% 0.14/15.62 inference(resolution,[status(thm)],[f2354,f2013])).
% 0.14/15.62 fof(f2374,plain,(
% 0.14/15.62 ![X0,X1,X2]: (cong(X0,X1,X2,X1))),
% 0.14/15.62 inference(resolution,[status(thm)],[f2232,f2356])).
% 0.14/15.62 fof(f2381,plain,(
% 0.14/15.62 ![X0,X1]: (cong(X0,X0,X0,X1))),
% 0.14/15.62 inference(resolution,[status(thm)],[f2363,f260])).
% 0.14/15.62 fof(f2397,plain,(
% 0.14/15.62 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|perp(X0,X2,X3,X1))),
% 0.14/15.62 inference(backward_subsumption_resolution,[status(thm)],[f232,f2374])).
% 0.14/15.62 fof(f2404,plain,(
% 0.14/15.62 ![X0,X1,X2,X3]: (perp(X0,X1,X2,X3))),
% 0.14/15.62 inference(forward_subsumption_resolution,[status(thm)],[f2397,f2374])).
% 0.14/15.62 fof(f2410,plain,(
% 0.14/15.62 ![X0,X1,X2]: (~cong(X0,X0,X0,X1)|circle(X0,X0,X1,X2))),
% 0.14/15.62 inference(resolution,[status(thm)],[f2381,f124])).
% 0.14/15.62 fof(f2411,plain,(
% 0.14/15.62 ![X0,X1,X2]: (circle(X0,X0,X1,X2))),
% 0.14/15.62 inference(forward_subsumption_resolution,[status(thm)],[f2410,f2381])).
% 0.14/15.62 fof(f2413,plain,(
% 0.14/15.62 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|para(X4,X5,X2,X3))),
% 0.14/15.62 inference(backward_subsumption_resolution,[status(thm)],[f117,f2404])).
% 0.14/15.62 fof(f2418,plain,(
% 0.14/15.62 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3))),
% 0.14/15.62 inference(forward_subsumption_resolution,[status(thm)],[f2413,f2404])).
% 0.14/15.62 fof(f2426,plain,(
% 0.14/15.62 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X0,X3,X2))),
% 0.14/15.62 inference(resolution,[status(thm)],[f2411,f2233])).
% 0.14/15.62 fof(f2432,plain,(
% 0.14/15.62 ![X0,X1,X2,X3,X4,X5]: (eqangle(X0,X1,X2,X3,X4,X5,X2,X3))),
% 0.14/15.62 inference(backward_subsumption_resolution,[status(thm)],[f189,f2418])).
% 0.14/15.62 fof(f2525,plain,(
% 0.14/15.62 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X0,X0,X3,X2,X3))),
% 0.14/15.62 inference(resolution,[status(thm)],[f2426,f144])).
% 0.14/15.62 fof(f2533,plain,(
% 0.14/15.62 ![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))),
% 0.14/15.62 inference(resolution,[status(thm)],[f2432,f147])).
% 0.14/15.62 fof(f2676,plain,(
% 0.14/15.62 ![X0,X1,X2,X3]: (eqangle(X0,X1,X1,X2,X0,X3,X1,X3))),
% 0.14/15.62 inference(resolution,[status(thm)],[f2525,f140])).
% 0.14/15.62 fof(f2997,plain,(
% 0.14/15.62 ![X0,X1,X2,X3,X4,X5]: (eqangle(X0,X1,X1,X2,X3,X4,X1,X5))),
% 0.14/15.62 inference(resolution,[status(thm)],[f2533,f2676])).
% 0.14/15.62 fof(f3611,plain,(
% 0.14/15.62 $false),
% 0.14/15.62 inference(backward_subsumption_resolution,[status(thm)],[f377,f2997])).
% 0.14/15.62 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/15.63 % Elapsed time: 0.231937 seconds
% 0.14/15.63 % CPU time: 1.545541 seconds
% 0.14/15.63 % Total memory used: 100.728 MB
% 0.14/15.63 % Net memory used: 99.049 MB
%------------------------------------------------------------------------------