%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO596+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 12:26:41 PM UTC 2026
% Result : Theorem 0.13s 1.06s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO596+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.55 % Computer : n018.cluster.edu
% 0.11/0.55 % Model : x86_64 x86_64
% 0.11/0.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.55 % Memory : 8046.5625MB
% 0.11/0.55 % OS : Linux 6.8.0-71-generic
% 0.11/0.55 % CPULimit : 300
% 0.11/0.55 % WCLimit : 300
% 0.11/0.55 % DateTime : Sun Sep 20 17:44:29 UTC 2026
% 0.13/0.56 % CPUTime :
% 0.13/0.57 % Drodi V4.1.1
% 0.13/1.06 % Refutation found
% 0.13/1.06 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/1.06 % SZS output start CNFRefutation for theBenchmark
% 0.13/1.06 fof(f1,axiom,(
% 0.13/1.06 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 0.13/1.06 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/1.06 fof(f2,axiom,(
% 0.13/1.06 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 0.13/1.06 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/1.06 fof(f3,axiom,(
% 0.13/1.06 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 0.13/1.06 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/1.06 fof(f4,axiom,(
% 0.13/1.06 (! [A,B,C,D] :( para(A,B,C,D)=> para(A,B,D,C) ) )),
% 0.13/1.06 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/1.06 fof(f5,axiom,(
% 0.13/1.06 (! [A,B,C,D] :( para(A,B,C,D)=> para(C,D,A,B) ) )),
% 0.13/1.06 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/1.06 fof(f6,axiom,(
% 0.13/1.06 (! [A,B,C,D,E,F] :( ( para(A,B,C,D)& para(C,D,E,F) )=> para(A,B,E,F) ) )),
% 0.13/1.06 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/1.06 fof(f11,axiom,(
% 0.13/1.06 (! [A,B,M] :( midp(M,B,A)=> midp(M,A,B) ) )),
% 0.13/1.06 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/1.06 fof(f17,axiom,(
% 0.13/1.06 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 0.13/1.06 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/1.06 fof(f18,axiom,(
% 0.13/1.06 (! [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) ) )),
% 0.13/1.06 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/1.06 fof(f19,axiom,(
% 0.13/1.06 (! [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) ) )),
% 0.13/1.06 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/1.06 fof(f20,axiom,(
% 0.13/1.06 (! [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) ) )),
% 0.13/1.06 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/1.06 fof(f21,axiom,(
% 0.13/1.06 (! [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) ) )),
% 0.13/1.06 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/1.06 fof(f22,axiom,(
% 0.13/1.06 (! [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) ) )),
% 0.13/1.06 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/1.06 fof(f39,axiom,(
% 0.13/1.06 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 0.13/1.06 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/1.06 fof(f40,axiom,(
% 0.13/1.06 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 0.13/1.06 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/1.06 fof(f41,axiom,(
% 0.13/1.06 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 0.13/1.06 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/1.06 fof(f43,axiom,(
% 0.13/1.06 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 0.13/1.06 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/1.06 fof(f44,axiom,(
% 0.13/1.06 (! [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) ) )),
% 0.13/1.06 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/1.06 fof(f46,axiom,(
% 0.13/1.06 (! [A,B,C,E,F] :( ( midp(E,A,B)& para(E,F,B,C)& coll(F,A,C) )=> midp(F,A,C) ) )),
% 0.13/1.06 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/1.06 fof(f55,axiom,(
% 0.13/1.06 (! [A,B,C,D] :( ( cyclic(A,B,C,D)& para(A,B,C,D) )=> eqangle(A,D,C,D,C,D,C,B) ) )),
% 0.13/1.06 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/1.06 fof(f56,axiom,(
% 0.13/1.06 (! [A,B,M,O] :( ( midp(M,A,B)& perp(O,M,A,B) )=> cong(O,A,O,B) ) )),
% 0.13/1.06 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/1.06 fof(f58,axiom,(
% 0.13/1.06 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q)& cyclic(A,B,P,Q) )=> perp(P,A,A,Q) ) )),
% 0.13/1.06 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/1.06 fof(f64,axiom,(
% 0.13/1.06 (! [A,B,C,D,M] :( ( midp(M,A,B)& midp(M,C,D) )=> para(A,C,B,D) ) )),
% 0.13/1.06 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/1.06 fof(f67,axiom,(
% 0.13/1.06 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 0.13/1.06 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/1.06 fof(f68,axiom,(
% 0.13/1.06 (! [A,B,C] :( ( cong(A,B,A,C)& coll(A,B,C) )=> midp(A,B,C) ) )),
% 0.13/1.06 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/1.06 fof(f95,conjecture,(
% 0.13/1.06 (! [A,B,C,D,E,F,G,NWPNT1] :( ( circle(D,A,B,C)& circle(D,A,E,NWPNT1)& coll(F,A,B)& coll(F,C,E)& para(A,E,G,F)& coll(G,B,C) )=> eqangle(G,F,F,B,F,C,C,B) ) )),
% 0.13/1.06 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/1.06 fof(f96,negated_conjecture,(
% 0.13/1.06 ~((! [A,B,C,D,E,F,G,NWPNT1] :( ( circle(D,A,B,C)& circle(D,A,E,NWPNT1)& coll(F,A,B)& coll(F,C,E)& para(A,E,G,F)& coll(G,B,C) )=> eqangle(G,F,F,B,F,C,C,B) ) ))),
% 0.13/1.06 inference(negated_conjecture,[status(cth)],[f95])).
% 0.13/1.06 fof(f97,plain,(
% 0.13/1.06 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 0.13/1.06 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.13/1.06 fof(f98,plain,(
% 0.13/1.06 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 0.13/1.06 inference(cnf_transformation,[status(thm)],[f97])).
% 0.13/1.06 fof(f99,plain,(
% 0.13/1.06 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 0.13/1.06 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.13/1.06 fof(f100,plain,(
% 0.13/1.06 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 0.13/1.06 inference(cnf_transformation,[status(thm)],[f99])).
% 0.13/1.06 fof(f101,plain,(
% 0.13/1.06 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 0.13/1.06 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.13/1.06 fof(f102,plain,(
% 0.13/1.06 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 0.13/1.06 inference(miniscoping,[status(thm)],[f101])).
% 0.13/1.06 fof(f103,plain,(
% 0.13/1.06 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 0.13/1.06 inference(cnf_transformation,[status(thm)],[f102])).
% 0.13/1.06 fof(f104,plain,(
% 0.13/1.06 ![A,B,C,D]: (~para(A,B,C,D)|para(A,B,D,C))),
% 0.13/1.06 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.13/1.06 fof(f105,plain,(
% 0.13/1.06 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X0,X1,X3,X2))),
% 0.13/1.06 inference(cnf_transformation,[status(thm)],[f104])).
% 0.13/1.06 fof(f106,plain,(
% 0.13/1.06 ![A,B,C,D]: (~para(A,B,C,D)|para(C,D,A,B))),
% 0.13/1.06 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.13/1.06 fof(f107,plain,(
% 0.13/1.06 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X2,X3,X0,X1))),
% 0.13/1.06 inference(cnf_transformation,[status(thm)],[f106])).
% 0.13/1.06 fof(f108,plain,(
% 0.13/1.06 ![A,B,C,D,E,F]: ((~para(A,B,C,D)|~para(C,D,E,F))|para(A,B,E,F))),
% 0.13/1.06 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.13/1.06 fof(f109,plain,(
% 0.13/1.06 ![A,B,E,F]: ((![C,D]: (~para(A,B,C,D)|~para(C,D,E,F)))|para(A,B,E,F))),
% 0.13/1.06 inference(miniscoping,[status(thm)],[f108])).
% 0.13/1.06 fof(f110,plain,(
% 0.13/1.06 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|~para(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 0.13/1.06 inference(cnf_transformation,[status(thm)],[f109])).
% 0.13/1.06 fof(f121,plain,(
% 0.13/1.06 ![A,B,M]: (~midp(M,B,A)|midp(M,A,B))),
% 0.13/1.06 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 0.13/1.06 fof(f122,plain,(
% 0.13/1.06 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X0,X2,X1))),
% 0.13/1.06 inference(cnf_transformation,[status(thm)],[f121])).
% 0.13/1.06 fof(f134,plain,(
% 0.13/1.06 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 0.13/1.06 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 0.13/1.06 fof(f135,plain,(
% 0.13/1.06 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 0.13/1.06 inference(miniscoping,[status(thm)],[f134])).
% 0.13/1.06 fof(f136,plain,(
% 0.13/1.06 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 0.13/1.06 inference(cnf_transformation,[status(thm)],[f135])).
% 0.13/1.06 fof(f137,plain,(
% 0.13/1.06 ![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))),
% 0.13/1.06 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 0.13/1.06 fof(f138,plain,(
% 0.13/1.06 ![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))),
% 0.13/1.06 inference(cnf_transformation,[status(thm)],[f137])).
% 0.13/1.06 fof(f139,plain,(
% 0.13/1.06 ![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))),
% 0.13/1.06 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 0.13/1.06 fof(f140,plain,(
% 0.13/1.06 ![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))),
% 0.13/1.06 inference(cnf_transformation,[status(thm)],[f139])).
% 0.13/1.06 fof(f141,plain,(
% 0.13/1.06 ![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))),
% 0.13/1.06 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 0.13/1.06 fof(f142,plain,(
% 0.13/1.06 ![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))),
% 0.13/1.06 inference(cnf_transformation,[status(thm)],[f141])).
% 0.13/1.06 fof(f143,plain,(
% 0.13/1.06 ![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))),
% 0.13/1.06 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 0.13/1.06 fof(f144,plain,(
% 0.13/1.06 ![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))),
% 0.13/1.06 inference(cnf_transformation,[status(thm)],[f143])).
% 0.13/1.06 fof(f145,plain,(
% 0.13/1.06 ![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))),
% 0.13/1.06 inference(pre_NNF_transformation,[status(thm)],[f22])).
% 0.13/1.06 fof(f146,plain,(
% 0.13/1.06 ![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))),
% 0.13/1.06 inference(miniscoping,[status(thm)],[f145])).
% 0.13/1.06 fof(f147,plain,(
% 0.13/1.06 ![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))),
% 0.13/1.06 inference(cnf_transformation,[status(thm)],[f146])).
% 0.13/1.06 fof(f184,plain,(
% 0.13/1.06 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 0.13/1.06 inference(pre_NNF_transformation,[status(thm)],[f39])).
% 0.13/1.06 fof(f185,plain,(
% 0.13/1.06 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 0.13/1.06 inference(miniscoping,[status(thm)],[f184])).
% 0.13/1.06 fof(f186,plain,(
% 0.13/1.06 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 0.13/1.06 inference(cnf_transformation,[status(thm)],[f185])).
% 0.13/1.06 fof(f187,plain,(
% 0.13/1.06 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 0.13/1.06 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 0.13/1.06 fof(f188,plain,(
% 0.13/1.06 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 0.13/1.06 inference(miniscoping,[status(thm)],[f187])).
% 0.13/1.06 fof(f189,plain,(
% 0.13/1.06 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 0.13/1.06 inference(cnf_transformation,[status(thm)],[f188])).
% 0.13/1.06 fof(f190,plain,(
% 0.13/1.06 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 0.13/1.06 inference(pre_NNF_transformation,[status(thm)],[f41])).
% 0.13/1.06 fof(f191,plain,(
% 0.13/1.06 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 0.13/1.06 inference(cnf_transformation,[status(thm)],[f190])).
% 0.13/1.06 fof(f194,plain,(
% 0.13/1.06 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 0.13/1.06 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 0.13/1.06 fof(f195,plain,(
% 0.13/1.06 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 0.13/1.06 inference(cnf_transformation,[status(thm)],[f194])).
% 0.13/1.06 fof(f196,plain,(
% 0.13/1.06 ![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))),
% 0.13/1.06 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 0.13/1.06 fof(f197,plain,(
% 0.13/1.06 ![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))),
% 0.13/1.06 inference(miniscoping,[status(thm)],[f196])).
% 0.13/1.06 fof(f198,plain,(
% 0.13/1.06 ![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))),
% 0.13/1.06 inference(cnf_transformation,[status(thm)],[f197])).
% 0.13/1.06 fof(f202,plain,(
% 0.13/1.06 ![A,B,C,E,F]: (((~midp(E,A,B)|~para(E,F,B,C))|~coll(F,A,C))|midp(F,A,C))),
% 0.13/1.06 inference(pre_NNF_transformation,[status(thm)],[f46])).
% 0.13/1.06 fof(f203,plain,(
% 0.13/1.06 ![A,C,F]: (((![B,E]: (~midp(E,A,B)|~para(E,F,B,C)))|~coll(F,A,C))|midp(F,A,C))),
% 0.13/1.06 inference(miniscoping,[status(thm)],[f202])).
% 0.13/1.06 fof(f204,plain,(
% 0.13/1.06 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X0,X3,X2,X4)|~coll(X3,X1,X4)|midp(X3,X1,X4))),
% 0.13/1.06 inference(cnf_transformation,[status(thm)],[f203])).
% 0.13/1.06 fof(f226,plain,(
% 0.13/1.06 ![A,B,C,D]: ((~cyclic(A,B,C,D)|~para(A,B,C,D))|eqangle(A,D,C,D,C,D,C,B))),
% 0.13/1.06 inference(pre_NNF_transformation,[status(thm)],[f55])).
% 0.13/1.06 fof(f227,plain,(
% 0.13/1.06 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|~para(X0,X1,X2,X3)|eqangle(X0,X3,X2,X3,X2,X3,X2,X1))),
% 0.13/1.06 inference(cnf_transformation,[status(thm)],[f226])).
% 0.13/1.06 fof(f228,plain,(
% 0.13/1.06 ![A,B,M,O]: ((~midp(M,A,B)|~perp(O,M,A,B))|cong(O,A,O,B))),
% 0.13/1.06 inference(pre_NNF_transformation,[status(thm)],[f56])).
% 0.13/1.06 fof(f229,plain,(
% 0.13/1.06 ![A,B,O]: ((![M]: (~midp(M,A,B)|~perp(O,M,A,B)))|cong(O,A,O,B))),
% 0.13/1.06 inference(miniscoping,[status(thm)],[f228])).
% 0.13/1.06 fof(f230,plain,(
% 0.13/1.06 ![X0,X1,X2,X3]: (~midp(X0,X1,X2)|~perp(X3,X0,X1,X2)|cong(X3,X1,X3,X2))),
% 0.13/1.06 inference(cnf_transformation,[status(thm)],[f229])).
% 0.13/1.06 fof(f233,plain,(
% 0.13/1.06 ![A,B,P,Q]: (((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q))|perp(P,A,A,Q))),
% 0.13/1.06 inference(pre_NNF_transformation,[status(thm)],[f58])).
% 0.13/1.06 fof(f234,plain,(
% 0.13/1.06 ![A,P,Q]: ((![B]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q)))|perp(P,A,A,Q))),
% 0.13/1.06 inference(miniscoping,[status(thm)],[f233])).
% 0.13/1.06 fof(f235,plain,(
% 0.13/1.06 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|~cyclic(X0,X2,X1,X3)|perp(X1,X0,X0,X3))),
% 0.13/1.06 inference(cnf_transformation,[status(thm)],[f234])).
% 0.13/1.06 fof(f247,plain,(
% 0.13/1.06 ![A,B,C,D,M]: ((~midp(M,A,B)|~midp(M,C,D))|para(A,C,B,D))),
% 0.13/1.06 inference(pre_NNF_transformation,[status(thm)],[f64])).
% 0.13/1.06 fof(f248,plain,(
% 0.13/1.06 ![A,B,C,D]: ((![M]: (~midp(M,A,B)|~midp(M,C,D)))|para(A,C,B,D))),
% 0.13/1.06 inference(miniscoping,[status(thm)],[f247])).
% 0.13/1.06 fof(f249,plain,(
% 0.13/1.06 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~midp(X0,X3,X4)|para(X1,X3,X2,X4))),
% 0.13/1.06 inference(cnf_transformation,[status(thm)],[f248])).
% 0.13/1.06 fof(f255,plain,(
% 0.13/1.06 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 0.13/1.06 inference(pre_NNF_transformation,[status(thm)],[f67])).
% 0.13/1.06 fof(f256,plain,(
% 0.13/1.06 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 0.13/1.06 inference(cnf_transformation,[status(thm)],[f255])).
% 0.13/1.06 fof(f257,plain,(
% 0.13/1.06 ![A,B,C]: ((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))),
% 0.13/1.06 inference(pre_NNF_transformation,[status(thm)],[f68])).
% 0.13/1.06 fof(f258,plain,(
% 0.13/1.06 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|~coll(X0,X1,X2)|midp(X0,X1,X2))),
% 0.13/1.06 inference(cnf_transformation,[status(thm)],[f257])).
% 0.13/1.06 fof(f369,plain,(
% 0.13/1.06 (?[A,B,C,D,E,F,G,NWPNT1]: ((((((circle(D,A,B,C)&circle(D,A,E,NWPNT1))&coll(F,A,B))&coll(F,C,E))¶(A,E,G,F))&coll(G,B,C))&~eqangle(G,F,F,B,F,C,C,B)))),
% 0.13/1.06 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 0.13/1.06 fof(f370,plain,(
% 0.13/1.06 ?[B,C,F,G]: (((?[A,E]: ((((?[D]: (circle(D,A,B,C)&(?[NWPNT1]: circle(D,A,E,NWPNT1))))&coll(F,A,B))&coll(F,C,E))¶(A,E,G,F)))&coll(G,B,C))&~eqangle(G,F,F,B,F,C,C,B))),
% 0.13/1.06 inference(miniscoping,[status(thm)],[f369])).
% 0.13/1.06 fof(f371,plain,(
% 0.13/1.06 ((((((circle(sK26_skl,sK24_skl,sK20_skl,sK21_skl)&circle(sK26_skl,sK24_skl,sK25_skl,sK27_skl))&coll(sK22_skl,sK24_skl,sK20_skl))&coll(sK22_skl,sK21_skl,sK25_skl))¶(sK24_skl,sK25_skl,sK23_skl,sK22_skl))&coll(sK23_skl,sK20_skl,sK21_skl))&~eqangle(sK23_skl,sK22_skl,sK22_skl,sK20_skl,sK22_skl,sK21_skl,sK21_skl,sK20_skl))),
% 0.13/1.06 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(F,sK22_skl),skolemize(G,sK23_skl),skolemize(A,sK24_skl),skolemize(E,sK25_skl),skolemize(D,sK26_skl),skolemize(NWPNT1,sK27_skl)],[f370])).
% 0.13/1.06 fof(f376,plain,(
% 0.13/1.06 para(sK24_skl,sK25_skl,sK23_skl,sK22_skl)),
% 0.13/1.06 inference(cnf_transformation,[status(thm)],[f371])).
% 0.13/1.06 fof(f378,plain,(
% 0.13/1.06 ~eqangle(sK23_skl,sK22_skl,sK22_skl,sK20_skl,sK22_skl,sK21_skl,sK21_skl,sK20_skl)),
% 0.13/1.06 inference(cnf_transformation,[status(thm)],[f371])).
% 0.13/1.06 fof(f436,plain,(
% 0.13/1.06 para(sK23_skl,sK22_skl,sK24_skl,sK25_skl)),
% 0.13/1.06 inference(resolution,[status(thm)],[f107,f376])).
% 0.13/1.06 fof(f438,plain,(
% 0.13/1.06 ![X0,X1]: (~para(X0,X1,sK24_skl,sK25_skl)|para(X0,X1,sK23_skl,sK22_skl))),
% 0.13/1.06 inference(resolution,[status(thm)],[f110,f376])).
% 0.13/1.06 fof(f612,plain,(
% 0.13/1.06 para(sK23_skl,sK22_skl,sK23_skl,sK22_skl)),
% 0.13/1.06 inference(resolution,[status(thm)],[f438,f436])).
% 0.13/1.06 fof(f650,plain,(
% 0.13/1.06 ![X0,X1]: (eqangle(sK23_skl,sK22_skl,X0,X1,sK23_skl,sK22_skl,X0,X1))),
% 0.13/1.06 inference(resolution,[status(thm)],[f189,f612])).
% 0.13/1.06 fof(f1539,plain,(
% 0.13/1.06 ![X0,X1]: (eqangle(sK23_skl,sK22_skl,sK23_skl,sK22_skl,X0,X1,X0,X1))),
% 0.13/1.06 inference(resolution,[status(thm)],[f650,f144])).
% 0.13/1.06 fof(f1541,plain,(
% 0.13/1.06 ![X0,X1]: (eqangle(X0,X1,sK23_skl,sK22_skl,X0,X1,sK23_skl,sK22_skl))),
% 0.13/1.06 inference(resolution,[status(thm)],[f650,f140])).
% 0.13/1.06 fof(f2755,plain,(
% 0.13/1.06 ![X0,X1]: (para(X0,X1,X0,X1))),
% 0.13/1.06 inference(resolution,[status(thm)],[f1541,f186])).
% 0.13/1.06 fof(f2776,plain,(
% 0.13/1.06 ![X0,X1]: (coll(X0,X1,X1))),
% 0.13/1.06 inference(resolution,[status(thm)],[f2755,f256])).
% 0.13/1.06 fof(f2777,plain,(
% 0.13/1.06 ![X0,X1]: (para(X0,X1,X1,X0))),
% 0.13/1.06 inference(resolution,[status(thm)],[f2755,f105])).
% 0.13/1.06 fof(f2957,plain,(
% 0.13/1.06 ![X0,X1]: (coll(X0,X1,X0))),
% 0.13/1.06 inference(resolution,[status(thm)],[f2776,f100])).
% 0.13/1.06 fof(f3138,plain,(
% 0.13/1.06 ![X0,X1]: (coll(X0,X0,X1))),
% 0.13/1.06 inference(resolution,[status(thm)],[f2957,f98])).
% 0.13/1.06 fof(f3178,plain,(
% 0.13/1.06 ![X0,X1,X2]: (~coll(X0,X0,X1)|coll(X1,X2,X0))),
% 0.13/1.06 inference(resolution,[status(thm)],[f3138,f103])).
% 0.13/1.06 fof(f3184,plain,(
% 0.13/1.06 ![X0,X1,X2]: (coll(X0,X1,X2))),
% 0.13/1.06 inference(forward_subsumption_resolution,[status(thm)],[f3178,f3138])).
% 0.13/1.06 fof(f3188,plain,(
% 0.13/1.06 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|midp(X0,X1,X2))),
% 0.13/1.06 inference(backward_subsumption_resolution,[status(thm)],[f258,f3184])).
% 0.13/1.06 fof(f3190,plain,(
% 0.13/1.06 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|cyclic(X1,X2,X0,X3))),
% 0.13/1.06 inference(backward_subsumption_resolution,[status(thm)],[f195,f3184])).
% 0.13/1.06 fof(f3193,plain,(
% 0.13/1.06 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X0,X3,X2,X4)|midp(X3,X1,X4))),
% 0.13/1.06 inference(backward_subsumption_resolution,[status(thm)],[f204,f3184])).
% 0.13/1.06 fof(f3228,plain,(
% 0.13/1.06 ![X0]: (cyclic(sK22_skl,sK22_skl,sK23_skl,X0))),
% 0.13/1.06 inference(resolution,[status(thm)],[f3190,f1539])).
% 0.13/1.06 fof(f3248,plain,(
% 0.13/1.06 ![X0,X1]: (~cyclic(sK22_skl,sK22_skl,sK23_skl,X0)|cyclic(sK22_skl,sK23_skl,X0,X1))),
% 0.13/1.06 inference(resolution,[status(thm)],[f3228,f136])).
% 0.13/1.06 fof(f3252,plain,(
% 0.13/1.06 ![X0,X1]: (cyclic(sK22_skl,sK23_skl,X0,X1))),
% 0.13/1.06 inference(forward_subsumption_resolution,[status(thm)],[f3248,f3228])).
% 0.13/1.06 fof(f3254,plain,(
% 0.13/1.06 ![X0,X1,X2]: (~cyclic(sK22_skl,sK23_skl,X0,X1)|cyclic(sK23_skl,X0,X1,X2))),
% 0.13/1.06 inference(resolution,[status(thm)],[f3252,f136])).
% 0.13/1.06 fof(f3258,plain,(
% 0.13/1.06 ![X0,X1,X2]: (cyclic(sK23_skl,X0,X1,X2))),
% 0.13/1.06 inference(forward_subsumption_resolution,[status(thm)],[f3254,f3252])).
% 0.13/1.06 fof(f3261,plain,(
% 0.13/1.06 ![X0,X1,X2,X3]: (~cyclic(sK23_skl,X0,X1,X2)|cyclic(X0,X1,X2,X3))),
% 0.13/1.06 inference(resolution,[status(thm)],[f3258,f136])).
% 0.13/1.06 fof(f3265,plain,(
% 0.13/1.06 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3))),
% 0.13/1.06 inference(forward_subsumption_resolution,[status(thm)],[f3261,f3258])).
% 0.13/1.06 fof(f3266,plain,(
% 0.13/1.06 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X1,X0,X0,X3))),
% 0.13/1.06 inference(backward_subsumption_resolution,[status(thm)],[f235,f3265])).
% 0.13/1.06 fof(f3267,plain,(
% 0.13/1.06 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|eqangle(X0,X3,X2,X3,X2,X3,X2,X1))),
% 0.13/1.06 inference(backward_subsumption_resolution,[status(thm)],[f227,f3265])).
% 0.13/1.06 fof(f3268,plain,(
% 0.13/1.06 ![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))),
% 0.13/1.06 inference(backward_subsumption_resolution,[status(thm)],[f198,f3265])).
% 0.13/1.06 fof(f3271,plain,(
% 0.13/1.06 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2))),
% 0.13/1.06 inference(backward_subsumption_resolution,[status(thm)],[f191,f3265])).
% 0.13/1.06 fof(f3272,plain,(
% 0.13/1.06 ![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))),
% 0.13/1.06 inference(forward_subsumption_resolution,[status(thm)],[f3268,f3265])).
% 0.13/1.06 fof(f3294,plain,(
% 0.13/1.06 ![X0,X1,X2]: (~midp(X0,X1,X0)|midp(X2,X1,X2))),
% 0.13/1.06 inference(resolution,[status(thm)],[f3193,f2755])).
% 0.13/1.06 fof(f3345,plain,(
% 0.13/1.06 ![X0,X1,X2,X3]: (eqangle(X0,X1,X1,X2,X3,X0,X3,X2))),
% 0.13/1.06 inference(resolution,[status(thm)],[f3271,f138])).
% 0.13/1.06 fof(f3366,plain,(
% 0.13/1.06 ![X0,X1]: (eqangle(X0,X0,X1,X0,X1,X0,X1,X1))),
% 0.13/1.06 inference(resolution,[status(thm)],[f3267,f2777])).
% 0.13/1.06 fof(f3490,plain,(
% 0.13/1.06 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X0,X2,X3,X4,X3,X5)|cong(X1,X2,X4,X5))),
% 0.13/1.06 inference(forward_subsumption_resolution,[status(thm)],[f3272,f3265])).
% 0.13/1.06 fof(f3491,plain,(
% 0.13/1.06 ![X0]: (cong(X0,X0,X0,X0))),
% 0.13/1.06 inference(resolution,[status(thm)],[f3490,f3366])).
% 0.13/1.06 fof(f3492,plain,(
% 0.13/1.06 ![X0,X1]: (cong(X0,X1,X0,X1))),
% 0.13/1.06 inference(resolution,[status(thm)],[f3490,f3345])).
% 0.13/1.06 fof(f3503,plain,(
% 0.13/1.06 ![X0]: (midp(X0,X0,X0))),
% 0.13/1.06 inference(resolution,[status(thm)],[f3491,f3188])).
% 0.13/1.06 fof(f3510,plain,(
% 0.13/1.06 ![X0,X1]: (midp(X0,X1,X0))),
% 0.13/1.06 inference(resolution,[status(thm)],[f3503,f3294])).
% 0.13/1.06 fof(f3535,plain,(
% 0.13/1.06 ![X0,X1]: (midp(X0,X0,X1))),
% 0.13/1.06 inference(resolution,[status(thm)],[f3510,f122])).
% 0.13/1.06 fof(f3563,plain,(
% 0.13/1.06 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X1,X0,X0,X2))),
% 0.13/1.06 inference(resolution,[status(thm)],[f3492,f3266])).
% 0.13/1.06 fof(f3571,plain,(
% 0.13/1.06 ![X0,X1,X2]: (perp(X0,X1,X1,X2))),
% 0.13/1.06 inference(forward_subsumption_resolution,[status(thm)],[f3563,f3492])).
% 0.13/1.06 fof(f3626,plain,(
% 0.13/1.06 ![X0,X1,X2]: (~midp(X0,X0,X1)|cong(X2,X0,X2,X1))),
% 0.13/1.06 inference(resolution,[status(thm)],[f3571,f230])).
% 0.13/1.06 fof(f3630,plain,(
% 0.13/1.06 ![X0,X1,X2]: (cong(X0,X1,X0,X2))),
% 0.13/1.06 inference(forward_subsumption_resolution,[status(thm)],[f3626,f3535])).
% 0.13/1.06 fof(f3680,plain,(
% 0.13/1.06 ![X0,X1,X2]: (midp(X0,X1,X2))),
% 0.13/1.06 inference(backward_subsumption_resolution,[status(thm)],[f3188,f3630])).
% 2.19/1.06 fof(f3690,plain,(
% 2.19/1.06 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|para(X3,X1,X4,X2))),
% 2.19/1.06 inference(backward_subsumption_resolution,[status(thm)],[f249,f3680])).
% 2.19/1.06 fof(f3698,plain,(
% 2.19/1.06 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3))),
% 2.19/1.06 inference(forward_subsumption_resolution,[status(thm)],[f3690,f3680])).
% 2.19/1.06 fof(f3737,plain,(
% 2.19/1.06 ![X0,X1,X2,X3,X4,X5]: (eqangle(X0,X1,X2,X3,X4,X5,X2,X3))),
% 2.19/1.06 inference(backward_subsumption_resolution,[status(thm)],[f189,f3698])).
% 2.19/1.06 fof(f3883,plain,(
% 2.19/1.06 ![X0,X1,X2,X3,X4,X5]: (eqangle(X0,X1,X2,X3,X4,X5,X4,X5))),
% 2.19/1.06 inference(resolution,[status(thm)],[f3737,f144])).
% 2.19/1.06 fof(f4080,plain,(
% 2.19/1.06 ![X0,X1,X2,X3,X4,X5]: (eqangle(X0,X1,X0,X1,X2,X3,X4,X5))),
% 2.19/1.06 inference(resolution,[status(thm)],[f3883,f142])).
% 2.19/1.06 fof(f4353,plain,(
% 2.19/1.06 ![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))),
% 2.19/1.06 inference(resolution,[status(thm)],[f4080,f147])).
% 2.19/1.06 fof(f4358,plain,(
% 2.19/1.06 ![X0,X1,X2,X3,X4,X5,X6,X7]: (eqangle(X0,X1,X2,X3,X4,X5,X6,X7))),
% 2.19/1.06 inference(forward_subsumption_resolution,[status(thm)],[f4353,f3883])).
% 2.19/1.06 fof(f5027,plain,(
% 2.19/1.06 $false),
% 2.19/1.06 inference(backward_subsumption_resolution,[status(thm)],[f378,f4358])).
% 2.19/1.06 % SZS output end CNFRefutation for theBenchmark.p
% 2.19/1.08 % Elapsed time: 0.504495 seconds
% 2.19/1.08 % CPU time: 3.695280 seconds
% 2.19/1.08 % Total memory used: 118.463 MB
% 2.19/1.08 % Net memory used: 114.408 MB
%------------------------------------------------------------------------------