%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO591+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 : n012.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 0.07s 15.71s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GEO591+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.04/15.53 % Computer : n012.cluster.edu
% 0.04/15.53 % Model : x86_64 x86_64
% 0.04/15.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/15.53 % Memory : 8046.5625MB
% 0.04/15.53 % OS : Linux 6.8.0-71-generic
% 0.04/15.53 % CPULimit : 300
% 0.04/15.53 % WCLimit : 300
% 0.04/15.53 % DateTime : Sun Sep 20 17:49:23 UTC 2026
% 0.04/15.53 % CPUTime :
% 0.04/15.54 % Drodi V4.1.1
% 0.07/15.71 % Refutation found
% 0.07/15.71 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.07/15.71 % SZS output start CNFRefutation for theBenchmark
% 0.07/15.71 fof(f1,axiom,(
% 0.07/15.71 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 0.07/15.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/15.71 fof(f2,axiom,(
% 0.07/15.71 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 0.07/15.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/15.71 fof(f3,axiom,(
% 0.07/15.71 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 0.07/15.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/15.71 fof(f4,axiom,(
% 0.07/15.71 (! [A,B,C,D] :( para(A,B,C,D)=> para(A,B,D,C) ) )),
% 0.07/15.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/15.71 fof(f8,axiom,(
% 0.07/15.71 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 0.07/15.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/15.71 fof(f9,axiom,(
% 0.07/15.71 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 0.07/15.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/15.71 fof(f11,axiom,(
% 0.07/15.71 (! [A,B,M] :( midp(M,B,A)=> midp(M,A,B) ) )),
% 0.07/15.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/15.71 fof(f14,axiom,(
% 0.07/15.71 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,B,D,C) ) )),
% 0.07/15.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/15.71 fof(f15,axiom,(
% 0.07/15.71 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,C,B,D) ) )),
% 0.07/15.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/15.71 fof(f16,axiom,(
% 0.07/15.71 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(B,A,C,D) ) )),
% 0.07/15.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/15.71 fof(f17,axiom,(
% 0.07/15.71 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 0.07/15.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/15.71 fof(f18,axiom,(
% 0.07/15.71 (! [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) ) )),
% 0.07/15.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/15.71 fof(f19,axiom,(
% 0.07/15.71 (! [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) ) )),
% 0.07/15.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/15.71 fof(f20,axiom,(
% 0.07/15.71 (! [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) ) )),
% 0.07/15.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/15.71 fof(f21,axiom,(
% 0.07/15.71 (! [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) ) )),
% 0.07/15.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/15.71 fof(f39,axiom,(
% 0.07/15.71 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 0.07/15.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/15.71 fof(f40,axiom,(
% 0.07/15.71 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 0.07/15.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/15.71 fof(f41,axiom,(
% 0.07/15.71 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 0.07/15.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/15.71 fof(f43,axiom,(
% 0.07/15.71 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 0.07/15.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/15.71 fof(f44,axiom,(
% 0.07/15.71 (! [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) ) )),
% 0.07/15.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/15.71 fof(f46,axiom,(
% 0.07/15.71 (! [A,B,C,E,F] :( ( midp(E,A,B)& para(E,F,B,C)& coll(F,A,C) )=> midp(F,A,C) ) )),
% 0.07/15.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/15.71 fof(f56,axiom,(
% 0.07/15.71 (! [A,B,M,O] :( ( midp(M,A,B)& perp(O,M,A,B) )=> cong(O,A,O,B) ) )),
% 0.07/15.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/15.71 fof(f58,axiom,(
% 0.07/15.71 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q)& cyclic(A,B,P,Q) )=> perp(P,A,A,Q) ) )),
% 0.07/15.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/15.71 fof(f67,axiom,(
% 0.07/15.71 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 0.07/15.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/15.71 fof(f68,axiom,(
% 0.07/15.71 (! [A,B,C] :( ( cong(A,B,A,C)& coll(A,B,C) )=> midp(A,B,C) ) )),
% 0.07/15.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/15.71 fof(f95,conjecture,(
% 0.07/15.71 (! [O,A,B,C,E,D,NWPNT1,NWPNT2,NWPNT3] :( ( circle(O,A,NWPNT1,NWPNT2)& circle(O,A,B,NWPNT3)& perp(O,B,B,E)& perp(O,A,A,D)& coll(C,A,B)& perp(O,C,C,E)& coll(D,C,E) )=> cong(O,E,O,D) ) )),
% 0.07/15.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/15.71 fof(f96,negated_conjecture,(
% 0.07/15.71 ~((! [O,A,B,C,E,D,NWPNT1,NWPNT2,NWPNT3] :( ( circle(O,A,NWPNT1,NWPNT2)& circle(O,A,B,NWPNT3)& perp(O,B,B,E)& perp(O,A,A,D)& coll(C,A,B)& perp(O,C,C,E)& coll(D,C,E) )=> cong(O,E,O,D) ) ))),
% 0.07/15.71 inference(negated_conjecture,[status(cth)],[f95])).
% 0.07/15.71 fof(f97,plain,(
% 0.07/15.71 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 0.07/15.71 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.07/15.71 fof(f98,plain,(
% 0.07/15.71 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 0.07/15.71 inference(cnf_transformation,[status(thm)],[f97])).
% 0.07/15.71 fof(f99,plain,(
% 0.07/15.71 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 0.07/15.71 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.07/15.71 fof(f100,plain,(
% 0.07/15.71 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 0.07/15.71 inference(cnf_transformation,[status(thm)],[f99])).
% 0.07/15.71 fof(f101,plain,(
% 0.07/15.71 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 0.07/15.71 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.07/15.71 fof(f102,plain,(
% 0.07/15.71 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 0.07/15.71 inference(miniscoping,[status(thm)],[f101])).
% 0.07/15.71 fof(f103,plain,(
% 0.07/15.71 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 0.07/15.71 inference(cnf_transformation,[status(thm)],[f102])).
% 0.07/15.71 fof(f104,plain,(
% 0.07/15.71 ![A,B,C,D]: (~para(A,B,C,D)|para(A,B,D,C))),
% 0.07/15.71 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.07/15.71 fof(f105,plain,(
% 0.07/15.71 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X0,X1,X3,X2))),
% 0.07/15.71 inference(cnf_transformation,[status(thm)],[f104])).
% 0.07/15.71 fof(f113,plain,(
% 0.07/15.71 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 0.07/15.71 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.07/15.71 fof(f114,plain,(
% 0.07/15.71 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 0.07/15.71 inference(cnf_transformation,[status(thm)],[f113])).
% 0.07/15.71 fof(f115,plain,(
% 0.07/15.71 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 0.07/15.71 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.07/15.71 fof(f116,plain,(
% 0.07/15.71 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 0.07/15.71 inference(miniscoping,[status(thm)],[f115])).
% 0.07/15.71 fof(f117,plain,(
% 0.07/15.71 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 0.07/15.71 inference(cnf_transformation,[status(thm)],[f116])).
% 0.07/15.71 fof(f121,plain,(
% 0.07/15.71 ![A,B,M]: (~midp(M,B,A)|midp(M,A,B))),
% 0.07/15.71 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 0.07/15.71 fof(f122,plain,(
% 0.07/15.71 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X0,X2,X1))),
% 0.07/15.71 inference(cnf_transformation,[status(thm)],[f121])).
% 0.07/15.71 fof(f128,plain,(
% 0.07/15.71 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,B,D,C))),
% 0.07/15.71 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 0.07/15.71 fof(f129,plain,(
% 0.07/15.71 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X1,X3,X2))),
% 0.07/15.71 inference(cnf_transformation,[status(thm)],[f128])).
% 0.07/15.71 fof(f130,plain,(
% 0.07/15.71 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,C,B,D))),
% 0.07/15.71 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.07/15.71 fof(f131,plain,(
% 0.07/15.71 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X2,X1,X3))),
% 0.07/15.71 inference(cnf_transformation,[status(thm)],[f130])).
% 0.07/15.71 fof(f132,plain,(
% 0.07/15.71 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(B,A,C,D))),
% 0.07/15.71 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 0.07/15.71 fof(f133,plain,(
% 0.07/15.71 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X1,X0,X2,X3))),
% 0.07/15.71 inference(cnf_transformation,[status(thm)],[f132])).
% 0.07/15.71 fof(f134,plain,(
% 0.07/15.71 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 0.07/15.71 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 0.07/15.71 fof(f135,plain,(
% 0.07/15.71 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 0.07/15.71 inference(miniscoping,[status(thm)],[f134])).
% 0.07/15.71 fof(f136,plain,(
% 0.07/15.71 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 0.07/15.71 inference(cnf_transformation,[status(thm)],[f135])).
% 0.07/15.71 fof(f137,plain,(
% 0.07/15.71 ![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))),
% 0.07/15.71 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 0.07/15.71 fof(f138,plain,(
% 0.07/15.71 ![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))),
% 0.07/15.71 inference(cnf_transformation,[status(thm)],[f137])).
% 0.07/15.71 fof(f139,plain,(
% 0.07/15.71 ![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))),
% 0.07/15.71 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 0.07/15.71 fof(f140,plain,(
% 0.07/15.71 ![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))),
% 0.07/15.71 inference(cnf_transformation,[status(thm)],[f139])).
% 0.07/15.71 fof(f141,plain,(
% 0.07/15.71 ![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))),
% 0.07/15.71 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 0.07/15.71 fof(f142,plain,(
% 0.07/15.71 ![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))),
% 0.07/15.71 inference(cnf_transformation,[status(thm)],[f141])).
% 0.07/15.71 fof(f143,plain,(
% 0.07/15.71 ![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))),
% 0.07/15.71 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 0.07/15.71 fof(f144,plain,(
% 0.07/15.71 ![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))),
% 0.07/15.71 inference(cnf_transformation,[status(thm)],[f143])).
% 0.07/15.71 fof(f184,plain,(
% 0.07/15.71 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 0.07/15.71 inference(pre_NNF_transformation,[status(thm)],[f39])).
% 0.07/15.71 fof(f185,plain,(
% 0.07/15.71 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 0.07/15.71 inference(miniscoping,[status(thm)],[f184])).
% 0.07/15.71 fof(f186,plain,(
% 0.07/15.71 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 0.07/15.71 inference(cnf_transformation,[status(thm)],[f185])).
% 0.07/15.71 fof(f187,plain,(
% 0.07/15.71 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 0.07/15.71 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 0.07/15.71 fof(f188,plain,(
% 0.07/15.71 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 0.07/15.71 inference(miniscoping,[status(thm)],[f187])).
% 0.07/15.71 fof(f189,plain,(
% 0.07/15.71 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 0.07/15.71 inference(cnf_transformation,[status(thm)],[f188])).
% 0.07/15.71 fof(f190,plain,(
% 0.07/15.71 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 0.07/15.71 inference(pre_NNF_transformation,[status(thm)],[f41])).
% 0.07/15.71 fof(f191,plain,(
% 0.07/15.71 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 0.07/15.71 inference(cnf_transformation,[status(thm)],[f190])).
% 0.07/15.71 fof(f194,plain,(
% 0.07/15.71 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 0.07/15.71 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 0.07/15.71 fof(f195,plain,(
% 0.07/15.71 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 0.07/15.71 inference(cnf_transformation,[status(thm)],[f194])).
% 0.07/15.71 fof(f196,plain,(
% 0.07/15.71 ![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))),
% 0.07/15.71 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 0.07/15.71 fof(f197,plain,(
% 0.07/15.71 ![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))),
% 0.07/15.71 inference(miniscoping,[status(thm)],[f196])).
% 0.07/15.71 fof(f198,plain,(
% 0.07/15.71 ![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))),
% 0.07/15.71 inference(cnf_transformation,[status(thm)],[f197])).
% 0.07/15.71 fof(f202,plain,(
% 0.07/15.71 ![A,B,C,E,F]: (((~midp(E,A,B)|~para(E,F,B,C))|~coll(F,A,C))|midp(F,A,C))),
% 0.07/15.71 inference(pre_NNF_transformation,[status(thm)],[f46])).
% 0.07/15.71 fof(f203,plain,(
% 0.07/15.71 ![A,C,F]: (((![B,E]: (~midp(E,A,B)|~para(E,F,B,C)))|~coll(F,A,C))|midp(F,A,C))),
% 0.07/15.71 inference(miniscoping,[status(thm)],[f202])).
% 0.07/15.71 fof(f204,plain,(
% 0.07/15.71 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X0,X3,X2,X4)|~coll(X3,X1,X4)|midp(X3,X1,X4))),
% 0.07/15.71 inference(cnf_transformation,[status(thm)],[f203])).
% 0.07/15.71 fof(f228,plain,(
% 0.07/15.71 ![A,B,M,O]: ((~midp(M,A,B)|~perp(O,M,A,B))|cong(O,A,O,B))),
% 0.07/15.71 inference(pre_NNF_transformation,[status(thm)],[f56])).
% 0.07/15.71 fof(f229,plain,(
% 0.07/15.71 ![A,B,O]: ((![M]: (~midp(M,A,B)|~perp(O,M,A,B)))|cong(O,A,O,B))),
% 0.07/15.71 inference(miniscoping,[status(thm)],[f228])).
% 0.07/15.71 fof(f230,plain,(
% 0.07/15.71 ![X0,X1,X2,X3]: (~midp(X0,X1,X2)|~perp(X3,X0,X1,X2)|cong(X3,X1,X3,X2))),
% 0.07/15.71 inference(cnf_transformation,[status(thm)],[f229])).
% 0.07/15.71 fof(f233,plain,(
% 0.07/15.71 ![A,B,P,Q]: (((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q))|perp(P,A,A,Q))),
% 0.07/15.71 inference(pre_NNF_transformation,[status(thm)],[f58])).
% 0.07/15.71 fof(f234,plain,(
% 0.07/15.71 ![A,P,Q]: ((![B]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q)))|perp(P,A,A,Q))),
% 0.07/15.71 inference(miniscoping,[status(thm)],[f233])).
% 0.07/15.71 fof(f235,plain,(
% 0.07/15.71 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|~cyclic(X0,X2,X1,X3)|perp(X1,X0,X0,X3))),
% 0.07/15.71 inference(cnf_transformation,[status(thm)],[f234])).
% 0.07/15.71 fof(f255,plain,(
% 0.07/15.71 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 0.07/15.71 inference(pre_NNF_transformation,[status(thm)],[f67])).
% 0.07/15.71 fof(f256,plain,(
% 0.07/15.71 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 0.07/15.71 inference(cnf_transformation,[status(thm)],[f255])).
% 0.07/15.71 fof(f257,plain,(
% 0.07/15.71 ![A,B,C]: ((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))),
% 0.07/15.71 inference(pre_NNF_transformation,[status(thm)],[f68])).
% 0.07/15.71 fof(f258,plain,(
% 0.07/15.71 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|~coll(X0,X1,X2)|midp(X0,X1,X2))),
% 0.07/15.71 inference(cnf_transformation,[status(thm)],[f257])).
% 0.07/15.71 fof(f369,plain,(
% 0.07/15.71 (?[O,A,B,C,E,D,NWPNT1,NWPNT2,NWPNT3]: (((((((circle(O,A,NWPNT1,NWPNT2)&circle(O,A,B,NWPNT3))&perp(O,B,B,E))&perp(O,A,A,D))&coll(C,A,B))&perp(O,C,C,E))&coll(D,C,E))&~cong(O,E,O,D)))),
% 0.07/15.71 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 0.07/15.71 fof(f370,plain,(
% 0.07/15.71 ?[O,E,D]: ((?[C]: (((?[A,B]: (((((?[NWPNT1,NWPNT2]: circle(O,A,NWPNT1,NWPNT2))&(?[NWPNT3]: circle(O,A,B,NWPNT3)))&perp(O,B,B,E))&perp(O,A,A,D))&coll(C,A,B)))&perp(O,C,C,E))&coll(D,C,E)))&~cong(O,E,O,D))),
% 0.07/15.71 inference(miniscoping,[status(thm)],[f369])).
% 0.07/15.71 fof(f371,plain,(
% 0.07/15.71 (((((((circle(sK20_skl,sK24_skl,sK26_skl,sK27_skl)&circle(sK20_skl,sK24_skl,sK25_skl,sK28_skl))&perp(sK20_skl,sK25_skl,sK25_skl,sK21_skl))&perp(sK20_skl,sK24_skl,sK24_skl,sK22_skl))&coll(sK23_skl,sK24_skl,sK25_skl))&perp(sK20_skl,sK23_skl,sK23_skl,sK21_skl))&coll(sK22_skl,sK23_skl,sK21_skl))&~cong(sK20_skl,sK21_skl,sK20_skl,sK22_skl))),
% 0.07/15.71 inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl,sK21_skl,sK22_skl,sK23_skl,sK24_skl,sK25_skl,sK26_skl,sK27_skl,sK28_skl]),skolemize(O,sK20_skl),skolemize(E,sK21_skl),skolemize(D,sK22_skl),skolemize(C,sK23_skl),skolemize(A,sK24_skl),skolemize(B,sK25_skl),skolemize(NWPNT1,sK26_skl),skolemize(NWPNT2,sK27_skl),skolemize(NWPNT3,sK28_skl)],[f370])).
% 0.07/15.71 fof(f374,plain,(
% 0.07/15.71 perp(sK20_skl,sK25_skl,sK25_skl,sK21_skl)),
% 0.07/15.71 inference(cnf_transformation,[status(thm)],[f371])).
% 0.07/15.71 fof(f375,plain,(
% 0.07/15.71 perp(sK20_skl,sK24_skl,sK24_skl,sK22_skl)),
% 0.07/15.71 inference(cnf_transformation,[status(thm)],[f371])).
% 0.07/15.71 fof(f376,plain,(
% 0.07/15.71 coll(sK23_skl,sK24_skl,sK25_skl)),
% 0.07/15.71 inference(cnf_transformation,[status(thm)],[f371])).
% 0.07/15.71 fof(f378,plain,(
% 0.07/15.71 coll(sK22_skl,sK23_skl,sK21_skl)),
% 0.07/15.71 inference(cnf_transformation,[status(thm)],[f371])).
% 0.07/15.71 fof(f379,plain,(
% 0.07/15.71 ~cong(sK20_skl,sK21_skl,sK20_skl,sK22_skl)),
% 0.07/15.71 inference(cnf_transformation,[status(thm)],[f371])).
% 0.07/15.71 fof(f380,plain,(
% 0.07/15.71 coll(sK22_skl,sK21_skl,sK23_skl)),
% 0.07/15.71 inference(resolution,[status(thm)],[f98,f378])).
% 0.07/15.71 fof(f384,plain,(
% 0.07/15.71 coll(sK21_skl,sK22_skl,sK23_skl)),
% 0.07/15.71 inference(resolution,[status(thm)],[f100,f380])).
% 0.07/15.71 fof(f387,plain,(
% 0.07/15.71 coll(sK24_skl,sK23_skl,sK25_skl)),
% 0.07/15.71 inference(resolution,[status(thm)],[f100,f376])).
% 0.07/15.71 fof(f389,plain,(
% 0.07/15.71 coll(sK21_skl,sK23_skl,sK22_skl)),
% 0.07/15.71 inference(resolution,[status(thm)],[f384,f98])).
% 0.07/15.71 fof(f400,plain,(
% 0.07/15.71 ![X0]: (~coll(sK24_skl,sK23_skl,X0)|coll(X0,sK25_skl,sK24_skl))),
% 0.07/15.71 inference(resolution,[status(thm)],[f103,f387])).
% 0.07/15.71 fof(f402,plain,(
% 0.07/15.71 ![X0]: (~coll(sK21_skl,sK23_skl,X0)|coll(X0,sK22_skl,sK21_skl))),
% 0.07/15.71 inference(resolution,[status(thm)],[f103,f389])).
% 0.07/15.71 fof(f403,plain,(
% 0.07/15.71 ![X0]: (~coll(sK21_skl,sK22_skl,X0)|coll(X0,sK23_skl,sK21_skl))),
% 0.07/15.71 inference(resolution,[status(thm)],[f103,f384])).
% 0.07/15.71 fof(f425,plain,(
% 0.07/15.71 perp(sK24_skl,sK22_skl,sK20_skl,sK24_skl)),
% 0.07/15.71 inference(resolution,[status(thm)],[f114,f375])).
% 0.07/15.71 fof(f427,plain,(
% 0.07/15.71 perp(sK25_skl,sK21_skl,sK20_skl,sK25_skl)),
% 0.07/15.71 inference(resolution,[status(thm)],[f114,f374])).
% 0.07/15.71 fof(f431,plain,(
% 0.07/15.71 ![X0,X1]: (~perp(X0,X1,sK20_skl,sK24_skl)|para(X0,X1,sK24_skl,sK22_skl))),
% 0.07/15.71 inference(resolution,[status(thm)],[f117,f375])).
% 0.07/15.71 fof(f433,plain,(
% 0.07/15.71 ![X0,X1]: (~perp(X0,X1,sK20_skl,sK25_skl)|para(X0,X1,sK25_skl,sK21_skl))),
% 0.07/15.71 inference(resolution,[status(thm)],[f117,f374])).
% 0.07/15.71 fof(f498,plain,(
% 0.07/15.71 coll(sK25_skl,sK25_skl,sK24_skl)),
% 0.07/15.71 inference(resolution,[status(thm)],[f400,f387])).
% 0.07/15.71 fof(f502,plain,(
% 0.07/15.71 coll(sK25_skl,sK24_skl,sK25_skl)),
% 0.07/15.71 inference(resolution,[status(thm)],[f498,f98])).
% 0.07/15.71 fof(f503,plain,(
% 0.07/15.71 ![X0]: (~coll(sK25_skl,sK24_skl,X0)|coll(X0,sK25_skl,sK25_skl))),
% 0.07/15.71 inference(resolution,[status(thm)],[f502,f103])).
% 0.07/15.71 fof(f530,plain,(
% 0.07/15.71 coll(sK22_skl,sK22_skl,sK21_skl)),
% 0.07/15.71 inference(resolution,[status(thm)],[f402,f389])).
% 0.07/15.71 fof(f531,plain,(
% 0.07/15.71 ![X0]: (~coll(sK22_skl,sK22_skl,X0)|coll(X0,sK21_skl,sK22_skl))),
% 0.07/15.71 inference(resolution,[status(thm)],[f530,f103])).
% 0.07/15.71 fof(f715,plain,(
% 0.07/15.71 para(sK24_skl,sK22_skl,sK24_skl,sK22_skl)),
% 0.07/15.71 inference(resolution,[status(thm)],[f431,f425])).
% 0.07/15.71 fof(f721,plain,(
% 0.07/15.71 coll(sK24_skl,sK22_skl,sK22_skl)),
% 0.07/15.71 inference(resolution,[status(thm)],[f715,f256])).
% 0.07/15.71 fof(f723,plain,(
% 0.07/15.71 coll(sK22_skl,sK24_skl,sK22_skl)),
% 0.07/15.71 inference(resolution,[status(thm)],[f721,f100])).
% 0.07/15.71 fof(f727,plain,(
% 0.07/15.71 coll(sK22_skl,sK22_skl,sK24_skl)),
% 0.07/15.71 inference(resolution,[status(thm)],[f723,f98])).
% 0.07/15.71 fof(f728,plain,(
% 0.07/15.71 coll(sK24_skl,sK21_skl,sK22_skl)),
% 0.07/15.71 inference(resolution,[status(thm)],[f727,f531])).
% 0.07/15.71 fof(f733,plain,(
% 0.07/15.71 coll(sK21_skl,sK24_skl,sK22_skl)),
% 0.07/15.71 inference(resolution,[status(thm)],[f728,f100])).
% 0.07/15.71 fof(f737,plain,(
% 0.07/15.71 coll(sK21_skl,sK22_skl,sK24_skl)),
% 0.07/15.71 inference(resolution,[status(thm)],[f733,f98])).
% 0.07/15.71 fof(f742,plain,(
% 0.07/15.71 coll(sK24_skl,sK23_skl,sK21_skl)),
% 0.07/15.71 inference(resolution,[status(thm)],[f737,f403])).
% 0.07/15.71 fof(f754,plain,(
% 0.07/15.71 coll(sK21_skl,sK25_skl,sK24_skl)),
% 0.07/15.71 inference(resolution,[status(thm)],[f742,f400])).
% 0.07/15.71 fof(f768,plain,(
% 0.07/15.71 coll(sK25_skl,sK21_skl,sK24_skl)),
% 0.07/15.71 inference(resolution,[status(thm)],[f754,f100])).
% 0.07/15.71 fof(f787,plain,(
% 0.07/15.71 coll(sK25_skl,sK24_skl,sK21_skl)),
% 0.07/15.71 inference(resolution,[status(thm)],[f768,f98])).
% 0.07/15.71 fof(f812,plain,(
% 0.07/15.71 coll(sK21_skl,sK25_skl,sK25_skl)),
% 0.07/15.71 inference(resolution,[status(thm)],[f787,f503])).
% 0.07/15.71 fof(f823,plain,(
% 0.07/15.71 para(sK25_skl,sK21_skl,sK25_skl,sK21_skl)),
% 0.07/15.71 inference(resolution,[status(thm)],[f433,f427])).
% 0.07/15.71 fof(f850,plain,(
% 0.07/15.71 coll(sK25_skl,sK21_skl,sK25_skl)),
% 0.07/15.71 inference(resolution,[status(thm)],[f812,f100])).
% 0.07/15.71 fof(f892,plain,(
% 0.07/15.71 coll(sK25_skl,sK25_skl,sK21_skl)),
% 0.07/15.71 inference(resolution,[status(thm)],[f850,f98])).
% 0.07/15.71 fof(f1282,plain,(
% 0.07/15.71 ![X0,X1]: (eqangle(sK25_skl,sK21_skl,X0,X1,sK25_skl,sK21_skl,X0,X1))),
% 0.07/15.71 inference(resolution,[status(thm)],[f189,f823])).
% 0.07/15.71 fof(f2107,plain,(
% 0.07/15.71 ![X0,X1]: (eqangle(X0,X1,sK25_skl,sK21_skl,X0,X1,sK25_skl,sK21_skl))),
% 0.07/15.71 inference(resolution,[status(thm)],[f1282,f140])).
% 0.07/15.71 fof(f3061,plain,(
% 0.07/15.71 ![X0]: (~coll(sK25_skl,sK25_skl,sK21_skl)|cyclic(X0,sK21_skl,sK25_skl,sK25_skl))),
% 0.07/15.71 inference(resolution,[status(thm)],[f2107,f195])).
% 0.07/15.71 fof(f3063,plain,(
% 0.07/15.71 ![X0,X1]: (para(X0,X1,X0,X1))),
% 0.07/15.71 inference(resolution,[status(thm)],[f2107,f186])).
% 0.07/15.71 fof(f3072,plain,(
% 0.07/15.71 ![X0]: (cyclic(X0,sK21_skl,sK25_skl,sK25_skl))),
% 0.07/15.71 inference(forward_subsumption_resolution,[status(thm)],[f3061,f892])).
% 0.07/15.71 fof(f3081,plain,(
% 0.07/15.71 ![X0,X1]: (para(X0,X1,X1,X0))),
% 0.07/15.71 inference(resolution,[status(thm)],[f3063,f105])).
% 0.07/15.71 fof(f3082,plain,(
% 0.07/15.71 ![X0,X1]: (coll(X0,X1,X1))),
% 0.07/15.71 inference(resolution,[status(thm)],[f3063,f256])).
% 0.07/15.71 fof(f3261,plain,(
% 0.07/15.71 ![X0,X1]: (coll(X0,X1,X0))),
% 0.07/15.71 inference(resolution,[status(thm)],[f3082,f100])).
% 0.07/15.71 fof(f3441,plain,(
% 0.07/15.71 ![X0,X1]: (coll(X0,X0,X1))),
% 0.07/15.71 inference(resolution,[status(thm)],[f3261,f98])).
% 0.07/15.71 fof(f3470,plain,(
% 0.07/15.71 ![X0,X1,X2]: (~coll(X0,X0,X1)|coll(X1,X2,X0))),
% 0.07/15.71 inference(resolution,[status(thm)],[f3441,f103])).
% 0.07/15.71 fof(f3473,plain,(
% 0.07/15.71 ![X0,X1,X2]: (coll(X0,X1,X2))),
% 0.07/15.71 inference(forward_subsumption_resolution,[status(thm)],[f3470,f3441])).
% 0.07/15.71 fof(f3474,plain,(
% 0.07/15.71 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|midp(X0,X1,X2))),
% 0.07/15.71 inference(backward_subsumption_resolution,[status(thm)],[f258,f3473])).
% 0.07/15.71 fof(f3476,plain,(
% 0.07/15.71 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X0,X3,X2,X4)|midp(X3,X1,X4))),
% 0.07/15.71 inference(backward_subsumption_resolution,[status(thm)],[f204,f3473])).
% 0.07/15.71 fof(f3485,plain,(
% 0.07/15.71 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X3,X1,X0,X2,X3))),
% 0.07/15.71 inference(resolution,[status(thm)],[f3081,f189])).
% 0.07/15.71 fof(f3493,plain,(
% 0.07/15.71 ![X0,X1,X2]: (~midp(X0,X1,X0)|midp(X2,X1,X2))),
% 0.07/15.71 inference(resolution,[status(thm)],[f3476,f3063])).
% 0.07/15.71 fof(f3496,plain,(
% 0.07/15.71 ![X0]: (cyclic(sK21_skl,X0,sK25_skl,sK25_skl))),
% 0.07/15.71 inference(resolution,[status(thm)],[f3072,f133])).
% 0.07/15.71 fof(f3502,plain,(
% 0.07/15.71 ![X0]: (cyclic(sK21_skl,sK25_skl,X0,sK25_skl))),
% 0.07/15.71 inference(resolution,[status(thm)],[f3496,f131])).
% 0.07/15.71 fof(f3513,plain,(
% 0.07/15.71 ![X0]: (cyclic(sK21_skl,sK25_skl,sK25_skl,X0))),
% 0.07/15.72 inference(resolution,[status(thm)],[f3502,f129])).
% 0.07/15.72 fof(f3530,plain,(
% 0.07/15.72 ![X0,X1]: (~cyclic(sK21_skl,sK25_skl,sK25_skl,X0)|cyclic(sK25_skl,sK25_skl,X0,X1))),
% 0.07/15.72 inference(resolution,[status(thm)],[f3513,f136])).
% 0.07/15.72 fof(f3534,plain,(
% 0.07/15.72 ![X0,X1]: (cyclic(sK25_skl,sK25_skl,X0,X1))),
% 0.07/15.72 inference(forward_subsumption_resolution,[status(thm)],[f3530,f3513])).
% 0.07/15.72 fof(f3536,plain,(
% 0.07/15.72 ![X0,X1,X2]: (~cyclic(sK25_skl,sK25_skl,X0,X1)|cyclic(sK25_skl,X0,X1,X2))),
% 0.07/15.72 inference(resolution,[status(thm)],[f3534,f136])).
% 0.07/15.72 fof(f3540,plain,(
% 0.07/15.72 ![X0,X1,X2]: (cyclic(sK25_skl,X0,X1,X2))),
% 0.07/15.72 inference(forward_subsumption_resolution,[status(thm)],[f3536,f3534])).
% 0.07/15.72 fof(f3542,plain,(
% 0.07/15.72 ![X0,X1,X2,X3]: (~cyclic(sK25_skl,X0,X1,X2)|cyclic(X0,X1,X2,X3))),
% 0.07/15.72 inference(resolution,[status(thm)],[f3540,f136])).
% 0.07/15.72 fof(f3546,plain,(
% 0.07/15.72 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3))),
% 0.07/15.72 inference(forward_subsumption_resolution,[status(thm)],[f3542,f3540])).
% 0.07/15.72 fof(f3548,plain,(
% 0.07/15.72 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X1,X0,X0,X3))),
% 0.07/15.72 inference(backward_subsumption_resolution,[status(thm)],[f235,f3546])).
% 0.07/15.72 fof(f3550,plain,(
% 0.07/15.72 ![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))),
% 0.07/15.72 inference(backward_subsumption_resolution,[status(thm)],[f198,f3546])).
% 0.07/15.72 fof(f3551,plain,(
% 0.07/15.72 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2))),
% 0.07/15.72 inference(backward_subsumption_resolution,[status(thm)],[f191,f3546])).
% 0.07/15.72 fof(f3553,plain,(
% 0.07/15.72 ![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))),
% 0.07/15.72 inference(forward_subsumption_resolution,[status(thm)],[f3550,f3546])).
% 0.07/15.72 fof(f3589,plain,(
% 0.07/15.72 ![X0,X1,X2,X3]: (eqangle(X0,X1,X1,X0,X2,X3,X2,X3))),
% 0.07/15.72 inference(resolution,[status(thm)],[f3485,f144])).
% 0.07/15.72 fof(f3617,plain,(
% 0.07/15.72 ![X0,X1,X2,X3]: (eqangle(X0,X1,X1,X2,X3,X0,X3,X2))),
% 0.07/15.72 inference(resolution,[status(thm)],[f3551,f138])).
% 0.07/15.72 fof(f3653,plain,(
% 0.07/15.72 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X1,X2,X3,X3,X2))),
% 0.07/15.72 inference(resolution,[status(thm)],[f3589,f142])).
% 0.07/15.72 fof(f3756,plain,(
% 0.07/15.72 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X0,X2,X3,X4,X3,X5)|cong(X1,X2,X4,X5))),
% 0.07/15.72 inference(forward_subsumption_resolution,[status(thm)],[f3553,f3546])).
% 0.07/15.72 fof(f3761,plain,(
% 0.07/15.72 ![X0,X1]: (cong(X0,X0,X1,X1))),
% 0.07/15.72 inference(resolution,[status(thm)],[f3756,f3653])).
% 0.07/15.72 fof(f3762,plain,(
% 0.07/15.72 ![X0,X1]: (cong(X0,X1,X0,X1))),
% 0.07/15.72 inference(resolution,[status(thm)],[f3756,f3617])).
% 0.07/15.72 fof(f3771,plain,(
% 0.07/15.72 ![X0]: (midp(X0,X0,X0))),
% 0.07/15.72 inference(resolution,[status(thm)],[f3761,f3474])).
% 0.07/15.72 fof(f3779,plain,(
% 0.07/15.72 ![X0,X1]: (midp(X0,X1,X0))),
% 0.07/15.72 inference(resolution,[status(thm)],[f3771,f3493])).
% 0.07/15.72 fof(f3802,plain,(
% 0.07/15.72 ![X0,X1]: (midp(X0,X0,X1))),
% 0.07/15.72 inference(resolution,[status(thm)],[f3779,f122])).
% 0.07/15.72 fof(f3825,plain,(
% 0.07/15.72 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X1,X0,X0,X2))),
% 0.07/15.72 inference(resolution,[status(thm)],[f3762,f3548])).
% 0.07/15.72 fof(f3833,plain,(
% 0.07/15.72 ![X0,X1,X2]: (perp(X0,X1,X1,X2))),
% 0.07/15.72 inference(forward_subsumption_resolution,[status(thm)],[f3825,f3762])).
% 0.07/15.72 fof(f3887,plain,(
% 0.07/15.72 ![X0,X1,X2]: (~midp(X0,X0,X1)|cong(X2,X0,X2,X1))),
% 0.07/15.72 inference(resolution,[status(thm)],[f3833,f230])).
% 0.07/15.72 fof(f3891,plain,(
% 0.07/15.72 ![X0,X1,X2]: (cong(X0,X1,X0,X2))),
% 0.07/15.72 inference(forward_subsumption_resolution,[status(thm)],[f3887,f3802])).
% 0.07/15.72 fof(f3933,plain,(
% 0.07/15.72 $false),
% 0.07/15.72 inference(backward_subsumption_resolution,[status(thm)],[f379,f3891])).
% 0.07/15.72 % SZS output end CNFRefutation for theBenchmark.p
% 0.07/15.72 % Elapsed time: 0.180428 seconds
% 0.07/15.72 % CPU time: 1.270063 seconds
% 0.07/15.72 % Total memory used: 104.312 MB
% 0.07/15.72 % Net memory used: 102.027 MB
%------------------------------------------------------------------------------