%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO597+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 : n013.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 12:26:42 PM UTC 2026
% Result : Theorem 2.92s 0.85s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO597+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
% 0.11/0.38 % Computer : n013.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 20 17:46:21 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.40 % Drodi V4.1.1
% 2.92/0.85 % Refutation found
% 2.92/0.85 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.92/0.85 % SZS output start CNFRefutation for theBenchmark
% 2.92/0.85 fof(f1,axiom,(
% 2.92/0.85 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 2.92/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.92/0.85 fof(f2,axiom,(
% 2.92/0.85 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 2.92/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.92/0.85 fof(f3,axiom,(
% 2.92/0.85 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 2.92/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.92/0.85 fof(f5,axiom,(
% 2.92/0.85 (! [A,B,C,D] :( para(A,B,C,D)=> para(C,D,A,B) ) )),
% 2.92/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.92/0.85 fof(f7,axiom,(
% 2.92/0.85 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(A,B,D,C) ) )),
% 2.92/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.92/0.85 fof(f8,axiom,(
% 2.92/0.85 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 2.92/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.92/0.85 fof(f9,axiom,(
% 2.92/0.85 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 2.92/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.92/0.85 fof(f10,axiom,(
% 2.92/0.85 (! [A,B,C,D,E,F] :( ( para(A,B,C,D)& perp(C,D,E,F) )=> perp(A,B,E,F) ) )),
% 2.92/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.92/0.85 fof(f11,axiom,(
% 2.92/0.85 (! [A,B,M] :( midp(M,B,A)=> midp(M,A,B) ) )),
% 2.92/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.92/0.85 fof(f20,axiom,(
% 2.92/0.85 (! [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) ) )),
% 2.92/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.92/0.85 fof(f21,axiom,(
% 2.92/0.85 (! [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) ) )),
% 2.92/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.92/0.85 fof(f22,axiom,(
% 2.92/0.85 (! [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) ) )),
% 2.92/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.92/0.85 fof(f23,axiom,(
% 2.92/0.85 (! [A,B,C,D] :( cong(A,B,C,D)=> cong(A,B,D,C) ) )),
% 2.92/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.92/0.85 fof(f24,axiom,(
% 2.92/0.85 (! [A,B,C,D] :( cong(A,B,C,D)=> cong(C,D,A,B) ) )),
% 2.92/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.92/0.85 fof(f25,axiom,(
% 2.92/0.85 (! [A,B,C,D,E,F] :( ( cong(A,B,C,D)& cong(C,D,E,F) )=> cong(A,B,E,F) ) )),
% 2.92/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.92/0.85 fof(f40,axiom,(
% 2.92/0.85 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 2.92/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.92/0.85 fof(f45,axiom,(
% 2.92/0.85 (! [A,B,C,E,F] :( ( midp(E,A,B)& midp(F,A,C) )=> para(E,F,B,C) ) )),
% 2.92/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.92/0.85 fof(f57,axiom,(
% 2.92/0.85 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 2.92/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.92/0.85 fof(f65,axiom,(
% 2.92/0.85 (! [A,B,C,D,M] :( ( midp(M,A,B)& para(A,C,B,D)& para(A,D,B,C) )=> midp(M,C,D) ) )),
% 2.92/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.92/0.85 fof(f67,axiom,(
% 2.92/0.85 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 2.92/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.92/0.85 fof(f68,axiom,(
% 2.92/0.85 (! [A,B,C] :( ( cong(A,B,A,C)& coll(A,B,C) )=> midp(A,B,C) ) )),
% 2.92/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.92/0.85 fof(f69,axiom,(
% 2.92/0.85 (! [A,B,C] :( midp(A,B,C)=> cong(A,B,A,C) ) )),
% 2.92/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.92/0.85 fof(f70,axiom,(
% 2.92/0.85 (! [A,B,C] :( midp(A,B,C)=> coll(A,B,C) ) )),
% 2.92/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.92/0.85 fof(f74,axiom,(
% 2.92/0.85 (! [A,B,C,D,P,Q,U,V] :( ( eqangle(A,B,C,D,P,Q,U,V)& para(P,Q,U,V) )=> para(A,B,C,D) ) )),
% 2.92/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.92/0.85 fof(f95,conjecture,(
% 2.92/0.85 (! [A,B,C,O,M,N,NWPNT1] :( ( circle(O,A,B,C)& midp(M,B,A)& coll(N,O,M)& circle(O,A,N,NWPNT1) )=> eqangle(A,C,C,N,N,C,C,B) ) )),
% 2.92/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.92/0.85 fof(f96,negated_conjecture,(
% 2.92/0.85 ~((! [A,B,C,O,M,N,NWPNT1] :( ( circle(O,A,B,C)& midp(M,B,A)& coll(N,O,M)& circle(O,A,N,NWPNT1) )=> eqangle(A,C,C,N,N,C,C,B) ) ))),
% 2.92/0.85 inference(negated_conjecture,[status(cth)],[f95])).
% 2.92/0.85 fof(f97,plain,(
% 2.92/0.85 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 2.92/0.85 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 2.92/0.85 fof(f98,plain,(
% 2.92/0.85 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 2.92/0.85 inference(cnf_transformation,[status(thm)],[f97])).
% 2.92/0.85 fof(f99,plain,(
% 2.92/0.85 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 2.92/0.85 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 2.92/0.85 fof(f100,plain,(
% 2.92/0.85 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 2.92/0.85 inference(cnf_transformation,[status(thm)],[f99])).
% 2.92/0.85 fof(f101,plain,(
% 2.92/0.85 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 2.92/0.85 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 2.92/0.85 fof(f102,plain,(
% 2.92/0.85 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 2.92/0.85 inference(miniscoping,[status(thm)],[f101])).
% 2.92/0.85 fof(f103,plain,(
% 2.92/0.85 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 2.92/0.85 inference(cnf_transformation,[status(thm)],[f102])).
% 2.92/0.85 fof(f106,plain,(
% 2.92/0.85 ![A,B,C,D]: (~para(A,B,C,D)|para(C,D,A,B))),
% 2.92/0.85 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 2.92/0.85 fof(f107,plain,(
% 2.92/0.85 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X2,X3,X0,X1))),
% 2.92/0.85 inference(cnf_transformation,[status(thm)],[f106])).
% 2.92/0.85 fof(f111,plain,(
% 2.92/0.85 ![A,B,C,D]: (~perp(A,B,C,D)|perp(A,B,D,C))),
% 2.92/0.85 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 2.92/0.85 fof(f112,plain,(
% 2.92/0.85 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X0,X1,X3,X2))),
% 2.92/0.85 inference(cnf_transformation,[status(thm)],[f111])).
% 2.92/0.85 fof(f113,plain,(
% 2.92/0.85 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 2.92/0.85 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 2.92/0.85 fof(f114,plain,(
% 2.92/0.85 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 2.92/0.85 inference(cnf_transformation,[status(thm)],[f113])).
% 2.92/0.85 fof(f115,plain,(
% 2.92/0.85 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 2.92/0.85 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 2.92/0.85 fof(f116,plain,(
% 2.92/0.85 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 2.92/0.85 inference(miniscoping,[status(thm)],[f115])).
% 2.92/0.85 fof(f117,plain,(
% 2.92/0.85 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 2.92/0.85 inference(cnf_transformation,[status(thm)],[f116])).
% 2.92/0.85 fof(f118,plain,(
% 2.92/0.85 ![A,B,C,D,E,F]: ((~para(A,B,C,D)|~perp(C,D,E,F))|perp(A,B,E,F))),
% 2.92/0.85 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 2.92/0.85 fof(f119,plain,(
% 2.92/0.85 ![A,B,E,F]: ((![C,D]: (~para(A,B,C,D)|~perp(C,D,E,F)))|perp(A,B,E,F))),
% 2.92/0.85 inference(miniscoping,[status(thm)],[f118])).
% 2.92/0.85 fof(f120,plain,(
% 2.92/0.85 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|perp(X0,X1,X4,X5))),
% 2.92/0.85 inference(cnf_transformation,[status(thm)],[f119])).
% 2.92/0.85 fof(f121,plain,(
% 2.92/0.85 ![A,B,M]: (~midp(M,B,A)|midp(M,A,B))),
% 2.92/0.85 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 2.92/0.85 fof(f122,plain,(
% 2.92/0.85 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X0,X2,X1))),
% 2.92/0.85 inference(cnf_transformation,[status(thm)],[f121])).
% 2.92/0.85 fof(f141,plain,(
% 2.92/0.85 ![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))),
% 2.92/0.85 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 2.92/0.85 fof(f142,plain,(
% 2.92/0.85 ![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))),
% 2.92/0.85 inference(cnf_transformation,[status(thm)],[f141])).
% 2.92/0.85 fof(f143,plain,(
% 2.92/0.85 ![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))),
% 2.92/0.85 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 2.92/0.85 fof(f144,plain,(
% 2.92/0.85 ![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))),
% 2.92/0.85 inference(cnf_transformation,[status(thm)],[f143])).
% 2.92/0.85 fof(f145,plain,(
% 2.92/0.85 ![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))),
% 2.92/0.85 inference(pre_NNF_transformation,[status(thm)],[f22])).
% 2.92/0.85 fof(f146,plain,(
% 2.92/0.85 ![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))),
% 2.92/0.85 inference(miniscoping,[status(thm)],[f145])).
% 2.92/0.85 fof(f147,plain,(
% 2.92/0.85 ![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))),
% 2.92/0.85 inference(cnf_transformation,[status(thm)],[f146])).
% 2.92/0.85 fof(f148,plain,(
% 2.92/0.85 ![A,B,C,D]: (~cong(A,B,C,D)|cong(A,B,D,C))),
% 2.92/0.85 inference(pre_NNF_transformation,[status(thm)],[f23])).
% 2.92/0.85 fof(f149,plain,(
% 2.92/0.85 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X3)|cong(X0,X1,X3,X2))),
% 2.92/0.85 inference(cnf_transformation,[status(thm)],[f148])).
% 2.92/0.85 fof(f150,plain,(
% 2.92/0.85 ![A,B,C,D]: (~cong(A,B,C,D)|cong(C,D,A,B))),
% 2.92/0.85 inference(pre_NNF_transformation,[status(thm)],[f24])).
% 2.92/0.85 fof(f151,plain,(
% 2.92/0.85 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X3)|cong(X2,X3,X0,X1))),
% 2.92/0.85 inference(cnf_transformation,[status(thm)],[f150])).
% 2.92/0.85 fof(f152,plain,(
% 2.92/0.85 ![A,B,C,D,E,F]: ((~cong(A,B,C,D)|~cong(C,D,E,F))|cong(A,B,E,F))),
% 2.92/0.85 inference(pre_NNF_transformation,[status(thm)],[f25])).
% 2.92/0.85 fof(f153,plain,(
% 2.92/0.85 ![A,B,E,F]: ((![C,D]: (~cong(A,B,C,D)|~cong(C,D,E,F)))|cong(A,B,E,F))),
% 2.92/0.85 inference(miniscoping,[status(thm)],[f152])).
% 2.92/0.85 fof(f154,plain,(
% 2.92/0.85 ![X0,X1,X2,X3,X4,X5]: (~cong(X0,X1,X2,X3)|~cong(X2,X3,X4,X5)|cong(X0,X1,X4,X5))),
% 2.92/0.85 inference(cnf_transformation,[status(thm)],[f153])).
% 2.92/0.85 fof(f187,plain,(
% 2.92/0.85 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 2.92/0.85 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 2.92/0.85 fof(f188,plain,(
% 2.92/0.85 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 2.92/0.85 inference(miniscoping,[status(thm)],[f187])).
% 2.92/0.85 fof(f189,plain,(
% 2.92/0.85 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 2.92/0.85 inference(cnf_transformation,[status(thm)],[f188])).
% 2.92/0.85 fof(f199,plain,(
% 2.92/0.85 ![A,B,C,E,F]: ((~midp(E,A,B)|~midp(F,A,C))|para(E,F,B,C))),
% 2.92/0.85 inference(pre_NNF_transformation,[status(thm)],[f45])).
% 2.92/0.85 fof(f200,plain,(
% 2.92/0.85 ![B,C,E,F]: ((![A]: (~midp(E,A,B)|~midp(F,A,C)))|para(E,F,B,C))),
% 2.92/0.85 inference(miniscoping,[status(thm)],[f199])).
% 2.92/0.85 fof(f201,plain,(
% 2.92/0.85 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~midp(X3,X1,X4)|para(X0,X3,X2,X4))),
% 2.92/0.85 inference(cnf_transformation,[status(thm)],[f200])).
% 2.92/0.85 fof(f231,plain,(
% 2.92/0.85 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 2.92/0.85 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 2.92/0.85 fof(f232,plain,(
% 2.92/0.85 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 2.92/0.85 inference(cnf_transformation,[status(thm)],[f231])).
% 2.92/0.85 fof(f250,plain,(
% 2.92/0.85 ![A,B,C,D,M]: (((~midp(M,A,B)|~para(A,C,B,D))|~para(A,D,B,C))|midp(M,C,D))),
% 2.92/0.85 inference(pre_NNF_transformation,[status(thm)],[f65])).
% 2.92/0.85 fof(f251,plain,(
% 2.92/0.85 ![C,D,M]: ((![A,B]: ((~midp(M,A,B)|~para(A,C,B,D))|~para(A,D,B,C)))|midp(M,C,D))),
% 2.92/0.85 inference(miniscoping,[status(thm)],[f250])).
% 2.92/0.85 fof(f252,plain,(
% 2.92/0.85 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X1,X3,X2,X4)|~para(X1,X4,X2,X3)|midp(X0,X3,X4))),
% 2.92/0.85 inference(cnf_transformation,[status(thm)],[f251])).
% 2.92/0.85 fof(f255,plain,(
% 2.92/0.85 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 2.92/0.85 inference(pre_NNF_transformation,[status(thm)],[f67])).
% 2.92/0.85 fof(f256,plain,(
% 2.92/0.85 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 2.92/0.85 inference(cnf_transformation,[status(thm)],[f255])).
% 2.92/0.85 fof(f257,plain,(
% 2.92/0.85 ![A,B,C]: ((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))),
% 2.92/0.85 inference(pre_NNF_transformation,[status(thm)],[f68])).
% 2.92/0.85 fof(f258,plain,(
% 2.92/0.85 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|~coll(X0,X1,X2)|midp(X0,X1,X2))),
% 2.92/0.85 inference(cnf_transformation,[status(thm)],[f257])).
% 2.92/0.85 fof(f259,plain,(
% 2.92/0.85 ![A,B,C]: (~midp(A,B,C)|cong(A,B,A,C))),
% 2.92/0.85 inference(pre_NNF_transformation,[status(thm)],[f69])).
% 2.92/0.85 fof(f260,plain,(
% 2.92/0.85 ![X0,X1,X2]: (~midp(X0,X1,X2)|cong(X0,X1,X0,X2))),
% 2.92/0.85 inference(cnf_transformation,[status(thm)],[f259])).
% 2.92/0.85 fof(f261,plain,(
% 2.92/0.85 ![A,B,C]: (~midp(A,B,C)|coll(A,B,C))),
% 2.92/0.85 inference(pre_NNF_transformation,[status(thm)],[f70])).
% 2.92/0.85 fof(f262,plain,(
% 2.92/0.85 ![X0,X1,X2]: (~midp(X0,X1,X2)|coll(X0,X1,X2))),
% 2.92/0.85 inference(cnf_transformation,[status(thm)],[f261])).
% 2.92/0.85 fof(f269,plain,(
% 2.92/0.85 ![A,B,C,D,P,Q,U,V]: ((~eqangle(A,B,C,D,P,Q,U,V)|~para(P,Q,U,V))|para(A,B,C,D))),
% 2.92/0.85 inference(pre_NNF_transformation,[status(thm)],[f74])).
% 2.92/0.85 fof(f270,plain,(
% 2.92/0.85 ![A,B,C,D]: ((![P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|~para(P,Q,U,V)))|para(A,B,C,D))),
% 2.92/0.85 inference(miniscoping,[status(thm)],[f269])).
% 2.92/0.85 fof(f271,plain,(
% 2.92/0.85 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|~para(X4,X5,X6,X7)|para(X0,X1,X2,X3))),
% 2.92/0.85 inference(cnf_transformation,[status(thm)],[f270])).
% 2.92/0.85 fof(f369,plain,(
% 2.92/0.85 (?[A,B,C,O,M,N,NWPNT1]: ((((circle(O,A,B,C)&midp(M,B,A))&coll(N,O,M))&circle(O,A,N,NWPNT1))&~eqangle(A,C,C,N,N,C,C,B)))),
% 2.92/0.85 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 2.92/0.85 fof(f370,plain,(
% 2.92/0.85 ?[A,B,C,N]: ((?[O]: ((?[M]: ((circle(O,A,B,C)&midp(M,B,A))&coll(N,O,M)))&(?[NWPNT1]: circle(O,A,N,NWPNT1))))&~eqangle(A,C,C,N,N,C,C,B))),
% 2.92/0.85 inference(miniscoping,[status(thm)],[f369])).
% 2.92/0.85 fof(f371,plain,(
% 2.92/0.85 ((((circle(sK24_skl,sK20_skl,sK21_skl,sK22_skl)&midp(sK25_skl,sK21_skl,sK20_skl))&coll(sK23_skl,sK24_skl,sK25_skl))&circle(sK24_skl,sK20_skl,sK23_skl,sK26_skl))&~eqangle(sK20_skl,sK22_skl,sK22_skl,sK23_skl,sK23_skl,sK22_skl,sK22_skl,sK21_skl))),
% 2.92/0.85 inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl,sK21_skl,sK22_skl,sK23_skl,sK24_skl,sK25_skl,sK26_skl]),skolemize(A,sK20_skl),skolemize(B,sK21_skl),skolemize(C,sK22_skl),skolemize(N,sK23_skl),skolemize(O,sK24_skl),skolemize(M,sK25_skl),skolemize(NWPNT1,sK26_skl)],[f370])).
% 2.92/0.85 fof(f373,plain,(
% 2.92/0.85 midp(sK25_skl,sK21_skl,sK20_skl)),
% 2.92/0.85 inference(cnf_transformation,[status(thm)],[f371])).
% 2.92/0.85 fof(f376,plain,(
% 2.92/0.85 ~eqangle(sK20_skl,sK22_skl,sK22_skl,sK23_skl,sK23_skl,sK22_skl,sK22_skl,sK21_skl)),
% 2.92/0.85 inference(cnf_transformation,[status(thm)],[f371])).
% 2.92/0.85 fof(f389,plain,(
% 2.92/0.85 midp(sK25_skl,sK20_skl,sK21_skl)),
% 2.92/0.85 inference(resolution,[status(thm)],[f122,f373])).
% 2.92/0.85 fof(f391,plain,(
% 2.92/0.85 coll(sK25_skl,sK20_skl,sK21_skl)),
% 2.92/0.85 inference(resolution,[status(thm)],[f262,f389])).
% 2.92/0.85 fof(f399,plain,(
% 2.92/0.85 ![X0]: (~coll(sK25_skl,sK20_skl,X0)|coll(X0,sK21_skl,sK25_skl))),
% 2.92/0.85 inference(resolution,[status(thm)],[f391,f103])).
% 2.92/0.85 fof(f400,plain,(
% 2.92/0.85 coll(sK20_skl,sK25_skl,sK21_skl)),
% 2.92/0.85 inference(resolution,[status(thm)],[f391,f100])).
% 2.92/0.85 fof(f407,plain,(
% 2.92/0.85 coll(sK20_skl,sK21_skl,sK25_skl)),
% 2.92/0.85 inference(resolution,[status(thm)],[f400,f98])).
% 2.92/0.85 fof(f411,plain,(
% 2.92/0.85 ![X0]: (~coll(sK20_skl,sK21_skl,X0)|coll(X0,sK25_skl,sK20_skl))),
% 2.92/0.85 inference(resolution,[status(thm)],[f407,f103])).
% 2.92/0.85 fof(f417,plain,(
% 2.92/0.85 cong(sK25_skl,sK20_skl,sK25_skl,sK21_skl)),
% 2.92/0.85 inference(resolution,[status(thm)],[f260,f389])).
% 2.92/0.85 fof(f418,plain,(
% 2.92/0.85 cong(sK25_skl,sK21_skl,sK25_skl,sK20_skl)),
% 2.92/0.85 inference(resolution,[status(thm)],[f260,f373])).
% 2.92/0.85 fof(f466,plain,(
% 2.92/0.85 cong(sK25_skl,sK20_skl,sK21_skl,sK25_skl)),
% 2.92/0.85 inference(resolution,[status(thm)],[f149,f417])).
% 2.92/0.85 fof(f471,plain,(
% 2.92/0.85 cong(sK21_skl,sK25_skl,sK25_skl,sK20_skl)),
% 2.92/0.85 inference(resolution,[status(thm)],[f151,f466])).
% 2.92/0.85 fof(f516,plain,(
% 2.92/0.85 coll(sK21_skl,sK21_skl,sK25_skl)),
% 2.92/0.85 inference(resolution,[status(thm)],[f399,f391])).
% 2.92/0.85 fof(f519,plain,(
% 2.92/0.85 coll(sK21_skl,sK25_skl,sK21_skl)),
% 2.92/0.85 inference(resolution,[status(thm)],[f516,f98])).
% 2.92/0.85 fof(f521,plain,(
% 2.92/0.85 coll(sK25_skl,sK21_skl,sK21_skl)),
% 2.92/0.85 inference(resolution,[status(thm)],[f519,f100])).
% 2.92/0.85 fof(f562,plain,(
% 2.92/0.85 coll(sK25_skl,sK25_skl,sK20_skl)),
% 2.92/0.85 inference(resolution,[status(thm)],[f411,f407])).
% 2.92/0.85 fof(f565,plain,(
% 2.92/0.85 coll(sK25_skl,sK20_skl,sK25_skl)),
% 2.92/0.85 inference(resolution,[status(thm)],[f562,f98])).
% 2.92/0.85 fof(f566,plain,(
% 2.92/0.85 coll(sK25_skl,sK21_skl,sK25_skl)),
% 2.92/0.85 inference(resolution,[status(thm)],[f565,f399])).
% 2.92/0.85 fof(f572,plain,(
% 2.92/0.85 coll(sK21_skl,sK25_skl,sK25_skl)),
% 2.92/0.85 inference(resolution,[status(thm)],[f566,f100])).
% 2.92/0.85 fof(f597,plain,(
% 2.92/0.85 ![X0,X1]: (~cong(X0,X1,sK25_skl,sK20_skl)|cong(X0,X1,sK25_skl,sK21_skl))),
% 2.92/0.85 inference(resolution,[status(thm)],[f154,f417])).
% 2.92/0.85 fof(f1481,plain,(
% 2.92/0.85 ![X0,X1]: (~midp(X0,sK20_skl,X1)|para(X0,sK25_skl,X1,sK21_skl))),
% 2.92/0.85 inference(resolution,[status(thm)],[f201,f389])).
% 2.92/0.85 fof(f1565,plain,(
% 2.92/0.85 para(sK25_skl,sK25_skl,sK21_skl,sK21_skl)),
% 2.92/0.85 inference(resolution,[status(thm)],[f1481,f389])).
% 2.92/0.85 fof(f1573,plain,(
% 2.92/0.85 para(sK21_skl,sK21_skl,sK25_skl,sK25_skl)),
% 2.92/0.85 inference(resolution,[status(thm)],[f1565,f107])).
% 2.92/0.85 fof(f1582,plain,(
% 2.92/0.85 ![X0,X1]: (eqangle(sK21_skl,sK21_skl,X0,X1,sK25_skl,sK25_skl,X0,X1))),
% 2.92/0.85 inference(resolution,[status(thm)],[f1573,f189])).
% 2.92/0.85 fof(f1667,plain,(
% 2.92/0.85 ![X0,X1]: (eqangle(sK21_skl,sK21_skl,sK25_skl,sK25_skl,X0,X1,X0,X1))),
% 2.92/0.85 inference(resolution,[status(thm)],[f1582,f144])).
% 2.92/0.85 fof(f1822,plain,(
% 2.92/0.85 ![X0,X1]: (eqangle(X0,X1,X0,X1,sK21_skl,sK21_skl,sK25_skl,sK25_skl))),
% 2.92/0.85 inference(resolution,[status(thm)],[f1667,f142])).
% 2.92/0.85 fof(f1872,plain,(
% 2.92/0.85 cong(sK21_skl,sK25_skl,sK25_skl,sK21_skl)),
% 2.92/0.85 inference(resolution,[status(thm)],[f597,f471])).
% 2.92/0.85 fof(f1874,plain,(
% 2.92/0.85 cong(sK25_skl,sK21_skl,sK25_skl,sK21_skl)),
% 2.92/0.85 inference(resolution,[status(thm)],[f597,f418])).
% 2.92/0.85 fof(f1887,plain,(
% 2.92/0.85 cong(sK21_skl,sK25_skl,sK21_skl,sK25_skl)),
% 2.92/0.85 inference(resolution,[status(thm)],[f1872,f149])).
% 2.92/0.85 fof(f1896,plain,(
% 2.92/0.85 ~coll(sK25_skl,sK21_skl,sK21_skl)|midp(sK25_skl,sK21_skl,sK21_skl)),
% 2.92/0.85 inference(resolution,[status(thm)],[f1874,f258])).
% 2.92/0.85 fof(f1906,plain,(
% 2.92/0.85 midp(sK25_skl,sK21_skl,sK21_skl)),
% 2.92/0.85 inference(forward_subsumption_resolution,[status(thm)],[f1896,f521])).
% 2.92/0.85 fof(f1908,plain,(
% 2.92/0.85 ![X0,X1]: (~midp(X0,sK21_skl,X1)|para(X0,sK25_skl,X1,sK21_skl))),
% 2.92/0.85 inference(resolution,[status(thm)],[f1906,f201])).
% 2.92/0.85 fof(f1917,plain,(
% 2.92/0.85 ~coll(sK21_skl,sK25_skl,sK25_skl)|midp(sK21_skl,sK25_skl,sK25_skl)),
% 2.92/0.85 inference(resolution,[status(thm)],[f1887,f258])).
% 2.92/0.85 fof(f1927,plain,(
% 2.92/0.85 midp(sK21_skl,sK25_skl,sK25_skl)),
% 2.92/0.85 inference(forward_subsumption_resolution,[status(thm)],[f1917,f572])).
% 2.92/0.85 fof(f2424,plain,(
% 2.92/0.85 ![X0,X1]: (~para(sK21_skl,sK21_skl,sK25_skl,sK25_skl)|para(X0,X1,X0,X1))),
% 2.92/0.85 inference(resolution,[status(thm)],[f271,f1822])).
% 2.92/0.85 fof(f2438,plain,(
% 2.92/0.85 ![X0,X1]: (para(X0,X1,X0,X1))),
% 2.92/0.85 inference(forward_subsumption_resolution,[status(thm)],[f2424,f1573])).
% 2.92/0.85 fof(f2454,plain,(
% 2.92/0.85 ![X0,X1,X2]: (~midp(X0,X1,X1)|~para(X1,X2,X1,X2)|midp(X0,X2,X2))),
% 2.92/0.85 inference(resolution,[status(thm)],[f2438,f252])).
% 2.92/0.85 fof(f2462,plain,(
% 2.92/0.85 ![X0,X1]: (coll(X0,X1,X1))),
% 2.92/0.85 inference(resolution,[status(thm)],[f2438,f256])).
% 2.92/0.85 fof(f2463,plain,(
% 2.92/0.85 ![X0,X1,X2]: (~midp(X0,X1,X1)|midp(X0,X2,X2))),
% 2.92/0.85 inference(forward_subsumption_resolution,[status(thm)],[f2454,f2438])).
% 2.92/0.85 fof(f2565,plain,(
% 2.92/0.85 ![X0,X1]: (coll(X0,X1,X0))),
% 2.92/0.85 inference(resolution,[status(thm)],[f2462,f100])).
% 2.92/0.85 fof(f2669,plain,(
% 2.92/0.85 ![X0,X1]: (coll(X0,X0,X1))),
% 2.92/0.85 inference(resolution,[status(thm)],[f2565,f98])).
% 2.92/0.85 fof(f2690,plain,(
% 2.92/0.85 ![X0,X1,X2]: (~coll(X0,X0,X1)|coll(X1,X2,X0))),
% 2.92/0.85 inference(resolution,[status(thm)],[f2669,f103])).
% 2.92/0.85 fof(f2693,plain,(
% 2.92/0.85 ![X0,X1,X2]: (coll(X0,X1,X2))),
% 2.92/0.85 inference(forward_subsumption_resolution,[status(thm)],[f2690,f2669])).
% 2.92/0.85 fof(f2697,plain,(
% 2.92/0.85 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|midp(X0,X1,X2))),
% 2.92/0.85 inference(backward_subsumption_resolution,[status(thm)],[f258,f2693])).
% 2.92/0.85 fof(f2758,plain,(
% 2.92/0.85 ![X0]: (midp(sK21_skl,X0,X0))),
% 2.92/0.85 inference(resolution,[status(thm)],[f2463,f1927])).
% 2.92/0.85 fof(f2775,plain,(
% 2.92/0.85 ![X0]: (cong(sK21_skl,X0,sK21_skl,X0))),
% 2.92/0.85 inference(resolution,[status(thm)],[f2758,f260])).
% 2.92/0.85 fof(f2820,plain,(
% 2.92/0.85 ![X0]: (cong(sK21_skl,X0,X0,sK21_skl))),
% 2.92/0.85 inference(resolution,[status(thm)],[f2775,f149])).
% 2.92/0.85 fof(f2905,plain,(
% 2.92/0.85 ![X0]: (cong(X0,sK21_skl,sK21_skl,X0))),
% 2.92/0.85 inference(resolution,[status(thm)],[f2820,f151])).
% 2.92/0.85 fof(f2982,plain,(
% 2.92/0.85 ![X0]: (cong(X0,sK21_skl,X0,sK21_skl))),
% 2.92/0.85 inference(resolution,[status(thm)],[f2905,f149])).
% 2.92/0.85 fof(f3053,plain,(
% 2.92/0.85 ![X0]: (midp(X0,sK21_skl,sK21_skl))),
% 2.92/0.85 inference(resolution,[status(thm)],[f2982,f2697])).
% 2.92/0.85 fof(f3071,plain,(
% 2.92/0.85 ![X0]: (para(X0,sK25_skl,sK21_skl,sK21_skl))),
% 2.92/0.85 inference(resolution,[status(thm)],[f3053,f1908])).
% 2.92/0.85 fof(f3073,plain,(
% 2.92/0.85 ![X0,X1]: (midp(X0,X1,X1))),
% 2.92/0.85 inference(resolution,[status(thm)],[f3053,f2463])).
% 2.92/0.85 fof(f3098,plain,(
% 2.92/0.85 ![X0,X1]: (cong(X0,X1,X0,X1))),
% 2.92/0.85 inference(resolution,[status(thm)],[f3073,f260])).
% 2.92/0.85 fof(f3113,plain,(
% 2.92/0.85 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X0,X0,X1,X2))),
% 2.92/0.85 inference(resolution,[status(thm)],[f3098,f232])).
% 2.92/0.85 fof(f3124,plain,(
% 2.92/0.85 ![X0,X1,X2]: (perp(X0,X0,X1,X2))),
% 2.92/0.85 inference(forward_subsumption_resolution,[status(thm)],[f3113,f3098])).
% 2.92/0.85 fof(f3182,plain,(
% 2.92/0.85 ![X0,X1,X2]: (~perp(sK21_skl,sK21_skl,X0,X1)|perp(X2,sK25_skl,X0,X1))),
% 2.92/0.85 inference(resolution,[status(thm)],[f3071,f120])).
% 2.92/0.85 fof(f3186,plain,(
% 2.92/0.85 ![X0,X1,X2]: (perp(X0,sK25_skl,X1,X2))),
% 2.92/0.85 inference(forward_subsumption_resolution,[status(thm)],[f3182,f3124])).
% 2.92/0.85 fof(f3191,plain,(
% 2.92/0.85 ![X0,X1,X2]: (perp(X0,X1,X2,sK25_skl))),
% 2.92/0.85 inference(resolution,[status(thm)],[f3186,f114])).
% 2.92/0.85 fof(f3198,plain,(
% 2.92/0.85 ![X0,X1,X2]: (perp(X0,X1,sK25_skl,X2))),
% 2.92/0.85 inference(resolution,[status(thm)],[f3191,f112])).
% 2.92/0.85 fof(f3204,plain,(
% 2.92/0.85 ![X0,X1,X2]: (perp(sK25_skl,X0,X1,X2))),
% 2.92/0.85 inference(resolution,[status(thm)],[f3198,f114])).
% 2.92/0.85 fof(f3209,plain,(
% 2.92/0.85 ![X0,X1,X2,X3,X4]: (~perp(X0,X1,sK25_skl,X2)|para(X0,X1,X3,X4))),
% 2.92/0.85 inference(resolution,[status(thm)],[f3204,f117])).
% 2.92/0.85 fof(f3212,plain,(
% 2.92/0.85 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3))),
% 2.92/0.86 inference(forward_subsumption_resolution,[status(thm)],[f3209,f3198])).
% 2.92/0.86 fof(f3217,plain,(
% 2.92/0.86 ![X0,X1,X2,X3,X4,X5]: (eqangle(X0,X1,X2,X3,X4,X5,X2,X3))),
% 2.92/0.86 inference(backward_subsumption_resolution,[status(thm)],[f189,f3212])).
% 2.92/0.86 fof(f3387,plain,(
% 2.92/0.86 ![X0,X1,X2,X3,X4,X5]: (eqangle(X0,X1,X2,X3,X4,X5,X4,X5))),
% 2.92/0.86 inference(resolution,[status(thm)],[f3217,f144])).
% 2.92/0.86 fof(f3502,plain,(
% 2.92/0.86 ![X0,X1,X2,X3,X4,X5]: (eqangle(X0,X1,X0,X1,X2,X3,X4,X5))),
% 2.92/0.86 inference(resolution,[status(thm)],[f3387,f142])).
% 2.92/0.86 fof(f3672,plain,(
% 2.92/0.86 ![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))),
% 2.92/0.86 inference(resolution,[status(thm)],[f3502,f147])).
% 2.92/0.86 fof(f3677,plain,(
% 2.92/0.86 ![X0,X1,X2,X3,X4,X5,X6,X7]: (eqangle(X0,X1,X2,X3,X4,X5,X6,X7))),
% 2.92/0.86 inference(forward_subsumption_resolution,[status(thm)],[f3672,f3387])).
% 2.92/0.86 fof(f3899,plain,(
% 2.92/0.86 $false),
% 2.92/0.86 inference(backward_subsumption_resolution,[status(thm)],[f376,f3677])).
% 2.92/0.86 % SZS output end CNFRefutation for theBenchmark.p
% 2.92/0.86 % Elapsed time: 0.469512 seconds
% 2.92/0.86 % CPU time: 3.371837 seconds
% 2.92/0.86 % Total memory used: 115.846 MB
% 2.92/0.86 % Net memory used: 112.343 MB
%------------------------------------------------------------------------------