%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO638+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 : n005.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 12:26:45 PM UTC 2026
% Result : Theorem 6.00s 1.25s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GEO638+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.42 % Computer : n005.cluster.edu
% 0.14/0.42 % Model : x86_64 x86_64
% 0.14/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.42 % Memory : 8046.5625MB
% 0.14/0.42 % OS : Linux 6.8.0-71-generic
% 0.14/0.42 % CPULimit : 300
% 0.14/0.42 % WCLimit : 300
% 0.14/0.42 % DateTime : Sun Sep 20 18:14:49 UTC 2026
% 0.14/0.43 % CPUTime :
% 0.14/0.45 % Drodi V4.1.1
% 6.00/1.25 % Refutation found
% 6.00/1.25 % SZS status Theorem for theBenchmark: Theorem is valid
% 6.00/1.25 % SZS output start CNFRefutation for theBenchmark
% 6.00/1.25 fof(f1,axiom,(
% 6.00/1.25 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 6.00/1.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.00/1.25 fof(f2,axiom,(
% 6.00/1.25 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 6.00/1.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.00/1.25 fof(f3,axiom,(
% 6.00/1.25 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 6.00/1.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.00/1.25 fof(f4,axiom,(
% 6.00/1.25 (! [A,B,C,D] :( para(A,B,C,D)=> para(A,B,D,C) ) )),
% 6.00/1.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.00/1.25 fof(f5,axiom,(
% 6.00/1.25 (! [A,B,C,D] :( para(A,B,C,D)=> para(C,D,A,B) ) )),
% 6.00/1.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.00/1.25 fof(f7,axiom,(
% 6.00/1.25 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(A,B,D,C) ) )),
% 6.00/1.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.00/1.25 fof(f8,axiom,(
% 6.00/1.25 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 6.00/1.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.00/1.25 fof(f9,axiom,(
% 6.00/1.25 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 6.00/1.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.00/1.25 fof(f11,axiom,(
% 6.00/1.25 (! [A,B,M] :( midp(M,B,A)=> midp(M,A,B) ) )),
% 6.00/1.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.00/1.25 fof(f14,axiom,(
% 6.00/1.25 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,B,D,C) ) )),
% 6.00/1.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.00/1.25 fof(f15,axiom,(
% 6.00/1.25 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,C,B,D) ) )),
% 6.00/1.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.00/1.25 fof(f17,axiom,(
% 6.00/1.25 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 6.00/1.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.00/1.25 fof(f40,axiom,(
% 6.00/1.25 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 6.00/1.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.00/1.25 fof(f41,axiom,(
% 6.00/1.25 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 6.00/1.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.00/1.25 fof(f43,axiom,(
% 6.00/1.25 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 6.00/1.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.00/1.25 fof(f44,axiom,(
% 6.00/1.25 (! [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) ) )),
% 6.00/1.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.00/1.25 fof(f58,axiom,(
% 6.00/1.25 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q)& cyclic(A,B,P,Q) )=> perp(P,A,A,Q) ) )),
% 6.00/1.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.00/1.25 fof(f64,axiom,(
% 6.00/1.25 (! [A,B,C,D,M] :( ( midp(M,A,B)& midp(M,C,D) )=> para(A,C,B,D) ) )),
% 6.00/1.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.00/1.25 fof(f67,axiom,(
% 6.00/1.25 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 6.00/1.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.00/1.25 fof(f83,axiom,(
% 6.00/1.25 (! [A,B,C,D,M,N,Q] :(? [P] :( ( midp(M,A,B)& midp(N,C,D)& coll(C,A,B)& coll(D,A,B) )=> midp(P,A,Q) ) ))),
% 6.00/1.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.00/1.25 fof(f95,conjecture,(
% 6.00/1.25 (! [A,B,E,G,D,C,F,H,NWPNT1,NWPNT2,NWPNT3] :( ( midp(E,A,B)& circle(E,A,NWPNT1,NWPNT2)& circle(E,A,G,NWPNT3)& perp(E,G,G,D)& para(A,D,C,B)& coll(C,G,D)& midp(F,C,D)& perp(H,F,A,B)& coll(H,A,B) )=> perp(C,H,D,H) ) )),
% 6.00/1.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.00/1.25 fof(f96,negated_conjecture,(
% 6.00/1.25 ~((! [A,B,E,G,D,C,F,H,NWPNT1,NWPNT2,NWPNT3] :( ( midp(E,A,B)& circle(E,A,NWPNT1,NWPNT2)& circle(E,A,G,NWPNT3)& perp(E,G,G,D)& para(A,D,C,B)& coll(C,G,D)& midp(F,C,D)& perp(H,F,A,B)& coll(H,A,B) )=> perp(C,H,D,H) ) ))),
% 6.00/1.25 inference(negated_conjecture,[status(cth)],[f95])).
% 6.00/1.25 fof(f97,plain,(
% 6.00/1.25 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 6.00/1.25 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 6.00/1.25 fof(f98,plain,(
% 6.00/1.25 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 6.00/1.25 inference(cnf_transformation,[status(thm)],[f97])).
% 6.00/1.25 fof(f99,plain,(
% 6.00/1.25 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 6.00/1.25 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 6.00/1.25 fof(f100,plain,(
% 6.00/1.25 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 6.00/1.25 inference(cnf_transformation,[status(thm)],[f99])).
% 6.00/1.25 fof(f101,plain,(
% 6.00/1.25 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 6.00/1.25 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 6.00/1.25 fof(f102,plain,(
% 6.00/1.25 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 6.00/1.25 inference(miniscoping,[status(thm)],[f101])).
% 6.00/1.25 fof(f103,plain,(
% 6.00/1.25 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 6.00/1.25 inference(cnf_transformation,[status(thm)],[f102])).
% 6.00/1.25 fof(f104,plain,(
% 6.00/1.25 ![A,B,C,D]: (~para(A,B,C,D)|para(A,B,D,C))),
% 6.00/1.25 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 6.00/1.25 fof(f105,plain,(
% 6.00/1.25 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X0,X1,X3,X2))),
% 6.00/1.25 inference(cnf_transformation,[status(thm)],[f104])).
% 6.00/1.25 fof(f106,plain,(
% 6.00/1.25 ![A,B,C,D]: (~para(A,B,C,D)|para(C,D,A,B))),
% 6.00/1.25 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 6.00/1.25 fof(f107,plain,(
% 6.00/1.25 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X2,X3,X0,X1))),
% 6.00/1.25 inference(cnf_transformation,[status(thm)],[f106])).
% 6.00/1.25 fof(f111,plain,(
% 6.00/1.25 ![A,B,C,D]: (~perp(A,B,C,D)|perp(A,B,D,C))),
% 6.00/1.25 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 6.00/1.25 fof(f112,plain,(
% 6.00/1.25 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X0,X1,X3,X2))),
% 6.00/1.25 inference(cnf_transformation,[status(thm)],[f111])).
% 6.00/1.25 fof(f113,plain,(
% 6.00/1.25 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 6.00/1.25 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 6.00/1.25 fof(f114,plain,(
% 6.00/1.25 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 6.00/1.25 inference(cnf_transformation,[status(thm)],[f113])).
% 6.00/1.25 fof(f115,plain,(
% 6.00/1.25 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 6.00/1.25 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 6.00/1.25 fof(f116,plain,(
% 6.00/1.25 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 6.00/1.25 inference(miniscoping,[status(thm)],[f115])).
% 6.00/1.25 fof(f117,plain,(
% 6.00/1.25 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 6.00/1.25 inference(cnf_transformation,[status(thm)],[f116])).
% 6.00/1.25 fof(f121,plain,(
% 6.00/1.25 ![A,B,M]: (~midp(M,B,A)|midp(M,A,B))),
% 6.00/1.25 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 6.00/1.25 fof(f122,plain,(
% 6.00/1.25 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X0,X2,X1))),
% 6.00/1.25 inference(cnf_transformation,[status(thm)],[f121])).
% 6.00/1.25 fof(f128,plain,(
% 6.00/1.25 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,B,D,C))),
% 6.00/1.25 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 6.00/1.25 fof(f129,plain,(
% 6.00/1.25 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X1,X3,X2))),
% 6.00/1.25 inference(cnf_transformation,[status(thm)],[f128])).
% 6.00/1.25 fof(f130,plain,(
% 6.00/1.25 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,C,B,D))),
% 6.00/1.25 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 6.00/1.25 fof(f131,plain,(
% 6.00/1.25 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X2,X1,X3))),
% 6.00/1.25 inference(cnf_transformation,[status(thm)],[f130])).
% 6.00/1.25 fof(f134,plain,(
% 6.00/1.25 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 6.00/1.25 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 6.00/1.25 fof(f135,plain,(
% 6.00/1.25 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 6.00/1.25 inference(miniscoping,[status(thm)],[f134])).
% 6.00/1.25 fof(f136,plain,(
% 6.00/1.25 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 6.00/1.25 inference(cnf_transformation,[status(thm)],[f135])).
% 6.00/1.25 fof(f187,plain,(
% 6.00/1.25 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 6.00/1.25 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 6.00/1.25 fof(f188,plain,(
% 6.00/1.25 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 6.00/1.25 inference(miniscoping,[status(thm)],[f187])).
% 6.00/1.25 fof(f189,plain,(
% 6.00/1.25 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 6.00/1.25 inference(cnf_transformation,[status(thm)],[f188])).
% 6.00/1.25 fof(f190,plain,(
% 6.00/1.25 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 6.00/1.25 inference(pre_NNF_transformation,[status(thm)],[f41])).
% 6.00/1.25 fof(f191,plain,(
% 6.00/1.25 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 6.00/1.25 inference(cnf_transformation,[status(thm)],[f190])).
% 6.00/1.25 fof(f194,plain,(
% 6.00/1.25 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 6.00/1.25 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 6.00/1.25 fof(f195,plain,(
% 6.00/1.25 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 6.00/1.25 inference(cnf_transformation,[status(thm)],[f194])).
% 6.00/1.25 fof(f196,plain,(
% 6.00/1.25 ![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))),
% 6.00/1.25 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 6.00/1.25 fof(f197,plain,(
% 6.00/1.25 ![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))),
% 6.00/1.25 inference(miniscoping,[status(thm)],[f196])).
% 6.00/1.25 fof(f198,plain,(
% 6.00/1.25 ![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))),
% 6.00/1.25 inference(cnf_transformation,[status(thm)],[f197])).
% 6.00/1.25 fof(f233,plain,(
% 6.00/1.25 ![A,B,P,Q]: (((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q))|perp(P,A,A,Q))),
% 6.00/1.25 inference(pre_NNF_transformation,[status(thm)],[f58])).
% 6.00/1.25 fof(f234,plain,(
% 6.00/1.25 ![A,P,Q]: ((![B]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q)))|perp(P,A,A,Q))),
% 6.00/1.25 inference(miniscoping,[status(thm)],[f233])).
% 6.00/1.25 fof(f235,plain,(
% 6.00/1.25 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|~cyclic(X0,X2,X1,X3)|perp(X1,X0,X0,X3))),
% 6.00/1.25 inference(cnf_transformation,[status(thm)],[f234])).
% 6.00/1.25 fof(f247,plain,(
% 6.00/1.25 ![A,B,C,D,M]: ((~midp(M,A,B)|~midp(M,C,D))|para(A,C,B,D))),
% 6.00/1.25 inference(pre_NNF_transformation,[status(thm)],[f64])).
% 6.00/1.25 fof(f248,plain,(
% 6.00/1.25 ![A,B,C,D]: ((![M]: (~midp(M,A,B)|~midp(M,C,D)))|para(A,C,B,D))),
% 6.00/1.25 inference(miniscoping,[status(thm)],[f247])).
% 6.00/1.25 fof(f249,plain,(
% 6.00/1.25 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~midp(X0,X3,X4)|para(X1,X3,X2,X4))),
% 6.00/1.25 inference(cnf_transformation,[status(thm)],[f248])).
% 6.00/1.25 fof(f255,plain,(
% 6.00/1.25 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 6.00/1.25 inference(pre_NNF_transformation,[status(thm)],[f67])).
% 6.00/1.25 fof(f256,plain,(
% 6.00/1.25 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 6.00/1.25 inference(cnf_transformation,[status(thm)],[f255])).
% 6.00/1.25 fof(f309,plain,(
% 6.00/1.25 ![A,B,C,D,M,N,Q]: (?[P]: ((((~midp(M,A,B)|~midp(N,C,D))|~coll(C,A,B))|~coll(D,A,B))|midp(P,A,Q)))),
% 6.00/1.25 inference(pre_NNF_transformation,[status(thm)],[f83])).
% 6.00/1.25 fof(f310,plain,(
% 6.00/1.25 ![A]: ((![B,D]: ((![C]: (((![M]: ~midp(M,A,B))|(![N]: ~midp(N,C,D)))|~coll(C,A,B)))|~coll(D,A,B)))|(![Q]: ?[P]: midp(P,A,Q)))),
% 6.00/1.25 inference(miniscoping,[status(thm)],[f309])).
% 6.00/1.25 fof(f311,plain,(
% 6.00/1.25 ![A]: ((![B,D]: ((![C]: (((![M]: ~midp(M,A,B))|(![N]: ~midp(N,C,D)))|~coll(C,A,B)))|~coll(D,A,B)))|(![Q]: midp(sK6_skl(Q,A),A,Q)))),
% 6.00/1.25 inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl]),skolemize(P,sK6_skl(Q,A))],[f310])).
% 6.00/1.25 fof(f312,plain,(
% 6.00/1.25 ![X0,X1,X2,X3,X4,X5,X6]: (~midp(X0,X1,X2)|~midp(X3,X4,X5)|~coll(X4,X1,X2)|~coll(X5,X1,X2)|midp(sK6_skl(X6,X1),X1,X6))),
% 6.00/1.25 inference(cnf_transformation,[status(thm)],[f311])).
% 6.00/1.25 fof(f369,plain,(
% 6.00/1.25 (?[A,B,E,G,D,C,F,H,NWPNT1,NWPNT2,NWPNT3]: (((((((((midp(E,A,B)&circle(E,A,NWPNT1,NWPNT2))&circle(E,A,G,NWPNT3))&perp(E,G,G,D))¶(A,D,C,B))&coll(C,G,D))&midp(F,C,D))&perp(H,F,A,B))&coll(H,A,B))&~perp(C,H,D,H)))),
% 6.00/1.25 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 6.00/1.25 fof(f370,plain,(
% 6.00/1.25 ?[D,C,H]: ((?[A,B]: ((?[F]: (((?[G]: (((?[E]: (((midp(E,A,B)&(?[NWPNT1,NWPNT2]: circle(E,A,NWPNT1,NWPNT2)))&(?[NWPNT3]: circle(E,A,G,NWPNT3)))&perp(E,G,G,D)))¶(A,D,C,B))&coll(C,G,D)))&midp(F,C,D))&perp(H,F,A,B)))&coll(H,A,B)))&~perp(C,H,D,H))),
% 6.00/1.25 inference(miniscoping,[status(thm)],[f369])).
% 6.00/1.25 fof(f371,plain,(
% 6.00/1.25 (((((((((midp(sK27_skl,sK23_skl,sK24_skl)&circle(sK27_skl,sK23_skl,sK28_skl,sK29_skl))&circle(sK27_skl,sK23_skl,sK26_skl,sK30_skl))&perp(sK27_skl,sK26_skl,sK26_skl,sK20_skl))¶(sK23_skl,sK20_skl,sK21_skl,sK24_skl))&coll(sK21_skl,sK26_skl,sK20_skl))&midp(sK25_skl,sK21_skl,sK20_skl))&perp(sK22_skl,sK25_skl,sK23_skl,sK24_skl))&coll(sK22_skl,sK23_skl,sK24_skl))&~perp(sK21_skl,sK22_skl,sK20_skl,sK22_skl))),
% 6.00/1.25 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,sK29_skl,sK30_skl]),skolemize(D,sK20_skl),skolemize(C,sK21_skl),skolemize(H,sK22_skl),skolemize(A,sK23_skl),skolemize(B,sK24_skl),skolemize(F,sK25_skl),skolemize(G,sK26_skl),skolemize(E,sK27_skl),skolemize(NWPNT1,sK28_skl),skolemize(NWPNT2,sK29_skl),skolemize(NWPNT3,sK30_skl)],[f370])).
% 6.00/1.25 fof(f372,plain,(
% 6.00/1.25 midp(sK27_skl,sK23_skl,sK24_skl)),
% 6.00/1.25 inference(cnf_transformation,[status(thm)],[f371])).
% 6.00/1.26 fof(f375,plain,(
% 6.00/1.26 perp(sK27_skl,sK26_skl,sK26_skl,sK20_skl)),
% 6.00/1.26 inference(cnf_transformation,[status(thm)],[f371])).
% 6.00/1.26 fof(f380,plain,(
% 6.00/1.26 coll(sK22_skl,sK23_skl,sK24_skl)),
% 6.00/1.26 inference(cnf_transformation,[status(thm)],[f371])).
% 6.00/1.26 fof(f381,plain,(
% 6.00/1.26 ~perp(sK21_skl,sK22_skl,sK20_skl,sK22_skl)),
% 6.00/1.26 inference(cnf_transformation,[status(thm)],[f371])).
% 6.00/1.26 fof(f386,plain,(
% 6.00/1.26 coll(sK23_skl,sK22_skl,sK24_skl)),
% 6.00/1.26 inference(resolution,[status(thm)],[f380,f100])).
% 6.00/1.26 fof(f387,plain,(
% 6.00/1.26 coll(sK22_skl,sK24_skl,sK23_skl)),
% 6.00/1.26 inference(resolution,[status(thm)],[f380,f98])).
% 6.00/1.26 fof(f394,plain,(
% 6.00/1.26 ![X0]: (~coll(sK23_skl,sK22_skl,X0)|coll(sK24_skl,X0,sK23_skl))),
% 6.00/1.26 inference(resolution,[status(thm)],[f386,f103])).
% 6.00/1.26 fof(f397,plain,(
% 6.00/1.26 ![X0,X1]: (~perp(sK26_skl,sK20_skl,X0,X1)|para(sK27_skl,sK26_skl,X0,X1))),
% 6.00/1.26 inference(resolution,[status(thm)],[f375,f117])).
% 6.00/1.26 fof(f398,plain,(
% 6.00/1.26 perp(sK26_skl,sK20_skl,sK27_skl,sK26_skl)),
% 6.00/1.26 inference(resolution,[status(thm)],[f375,f114])).
% 6.00/1.26 fof(f404,plain,(
% 6.00/1.26 ![X0]: (~coll(sK22_skl,sK24_skl,X0)|coll(sK23_skl,X0,sK22_skl))),
% 6.00/1.26 inference(resolution,[status(thm)],[f387,f103])).
% 6.00/1.26 fof(f411,plain,(
% 6.00/1.26 midp(sK27_skl,sK24_skl,sK23_skl)),
% 6.00/1.26 inference(resolution,[status(thm)],[f122,f372])).
% 6.00/1.26 fof(f481,plain,(
% 6.00/1.26 para(sK27_skl,sK26_skl,sK27_skl,sK26_skl)),
% 6.00/1.26 inference(resolution,[status(thm)],[f397,f398])).
% 6.00/1.26 fof(f639,plain,(
% 6.00/1.26 ![X0,X1]: (eqangle(sK27_skl,sK26_skl,X0,X1,sK27_skl,sK26_skl,X0,X1))),
% 6.00/1.26 inference(resolution,[status(thm)],[f481,f189])).
% 6.00/1.26 fof(f869,plain,(
% 6.00/1.26 ![X0,X1,X2,X3]: (~midp(X0,X1,X2)|~coll(X1,sK23_skl,sK24_skl)|~coll(X2,sK23_skl,sK24_skl)|midp(sK6_skl(X3,sK23_skl),sK23_skl,X3))),
% 6.00/1.26 inference(resolution,[status(thm)],[f312,f372])).
% 6.00/1.26 fof(f891,definition,(
% 6.00/1.26 ![X0,X1,X2]: (sQ52_spl <=> (~midp(X0,X1,X2)|~coll(X1,sK23_skl,sK24_skl)|~coll(X2,sK23_skl,sK24_skl)))),
% 6.00/1.26 introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition])).
% 6.00/1.26 fof(f892,plain,(
% 6.00/1.26 ![X0,X1,X2]: (~midp(X0,X1,X2)|~coll(X1,sK23_skl,sK24_skl)|~coll(X2,sK23_skl,sK24_skl)|~sQ52_spl)),
% 6.00/1.26 inference(component_clause,[status(thm)],[f891])).
% 6.00/1.26 fof(f894,definition,(
% 6.00/1.26 ![X3]: (sQ53_spl <=> (midp(sK6_skl(X3,sK23_skl),sK23_skl,X3)))),
% 6.00/1.26 introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition])).
% 6.00/1.26 fof(f895,plain,(
% 6.00/1.26 ![X0]: (midp(sK6_skl(X0,sK23_skl),sK23_skl,X0)|~sQ53_spl)),
% 6.00/1.26 inference(component_clause,[status(thm)],[f894])).
% 6.00/1.26 fof(f897,plain,(
% 6.00/1.26 sQ52_spl|sQ53_spl),
% 6.00/1.26 inference(split_clause,[status(thm)],[f869,f891,f894])).
% 6.00/1.26 fof(f1117,plain,(
% 6.00/1.26 ~coll(sK24_skl,sK23_skl,sK24_skl)|~coll(sK23_skl,sK23_skl,sK24_skl)|~sQ52_spl),
% 6.00/1.26 inference(resolution,[status(thm)],[f892,f411])).
% 6.00/1.26 fof(f1127,definition,(
% 6.00/1.26 sQ88_spl <=> (coll(sK24_skl,sK23_skl,sK24_skl))),
% 6.00/1.26 introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition])).
% 6.00/1.26 fof(f1129,plain,(
% 6.00/1.26 ~coll(sK24_skl,sK23_skl,sK24_skl)|sQ88_spl),
% 6.00/1.26 inference(component_clause,[status(thm)],[f1127])).
% 6.00/1.26 fof(f1130,definition,(
% 6.00/1.26 sQ89_spl <=> (coll(sK23_skl,sK23_skl,sK24_skl))),
% 6.00/1.26 introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition])).
% 6.00/1.26 fof(f1132,plain,(
% 6.00/1.26 ~coll(sK23_skl,sK23_skl,sK24_skl)|sQ89_spl),
% 6.00/1.26 inference(component_clause,[status(thm)],[f1130])).
% 6.00/1.26 fof(f1133,plain,(
% 6.00/1.26 ~sQ88_spl|~sQ89_spl|~sQ52_spl),
% 6.00/1.26 inference(split_clause,[status(thm)],[f1117,f1127,f1130,f891])).
% 6.00/1.26 fof(f1521,plain,(
% 6.00/1.26 coll(sK24_skl,sK24_skl,sK23_skl)),
% 6.00/1.26 inference(resolution,[status(thm)],[f394,f386])).
% 6.00/1.26 fof(f1523,plain,(
% 6.00/1.26 coll(sK23_skl,sK23_skl,sK22_skl)),
% 6.00/1.26 inference(resolution,[status(thm)],[f404,f387])).
% 6.00/1.26 fof(f1559,plain,(
% 6.00/1.26 coll(sK24_skl,sK23_skl,sK24_skl)),
% 6.00/1.26 inference(resolution,[status(thm)],[f1521,f98])).
% 6.00/1.26 fof(f1560,plain,(
% 6.00/1.26 $false|sQ88_spl),
% 6.00/1.26 inference(forward_subsumption_resolution,[status(thm)],[f1559,f1129])).
% 6.00/1.26 fof(f1561,plain,(
% 6.00/1.26 sQ88_spl),
% 6.00/1.26 inference(contradiction_clause,[status(thm)],[f1560])).
% 6.00/1.26 fof(f1564,plain,(
% 6.00/1.26 coll(sK23_skl,sK22_skl,sK23_skl)),
% 6.00/1.26 inference(resolution,[status(thm)],[f1523,f98])).
% 6.00/1.26 fof(f1728,plain,(
% 6.00/1.26 coll(sK24_skl,sK23_skl,sK23_skl)),
% 6.00/1.26 inference(resolution,[status(thm)],[f1564,f394])).
% 6.00/1.26 fof(f1846,plain,(
% 6.00/1.26 coll(sK23_skl,sK24_skl,sK23_skl)),
% 6.00/1.26 inference(resolution,[status(thm)],[f1728,f100])).
% 6.00/1.26 fof(f1930,plain,(
% 6.00/1.26 coll(sK23_skl,sK23_skl,sK24_skl)),
% 6.00/1.26 inference(resolution,[status(thm)],[f1846,f98])).
% 6.00/1.26 fof(f1931,plain,(
% 6.00/1.26 $false|sQ89_spl),
% 6.00/1.26 inference(forward_subsumption_resolution,[status(thm)],[f1930,f1132])).
% 6.00/1.26 fof(f1932,plain,(
% 6.00/1.26 sQ89_spl),
% 6.00/1.26 inference(contradiction_clause,[status(thm)],[f1931])).
% 6.00/1.26 fof(f1955,plain,(
% 6.00/1.26 ![X0,X1,X2]: (~midp(sK6_skl(X0,sK23_skl),X1,X2)|para(sK23_skl,X1,X0,X2)|~sQ53_spl)),
% 6.00/1.26 inference(resolution,[status(thm)],[f895,f249])).
% 6.00/1.26 fof(f1958,plain,(
% 6.00/1.26 ![X0]: (midp(sK6_skl(X0,sK23_skl),X0,sK23_skl)|~sQ53_spl)),
% 6.00/1.26 inference(resolution,[status(thm)],[f895,f122])).
% 6.00/1.26 fof(f3495,plain,(
% 6.00/1.26 ![X0]: (para(sK23_skl,X0,X0,sK23_skl)|~sQ53_spl)),
% 6.00/1.26 inference(resolution,[status(thm)],[f1958,f1955])).
% 6.00/1.26 fof(f3854,plain,(
% 6.00/1.26 ![X0]: (para(X0,sK23_skl,sK23_skl,X0)|~sQ53_spl)),
% 6.00/1.26 inference(resolution,[status(thm)],[f3495,f107])).
% 6.00/1.26 fof(f4447,plain,(
% 6.00/1.26 ![X0]: (para(X0,sK23_skl,X0,sK23_skl)|~sQ53_spl)),
% 6.00/1.26 inference(resolution,[status(thm)],[f3854,f105])).
% 6.00/1.26 fof(f5137,plain,(
% 6.00/1.26 ![X0]: (coll(X0,sK23_skl,sK23_skl)|~sQ53_spl)),
% 6.00/1.26 inference(resolution,[status(thm)],[f4447,f256])).
% 6.00/1.26 fof(f5206,plain,(
% 6.00/1.26 ![X0]: (coll(sK23_skl,X0,sK23_skl)|~sQ53_spl)),
% 6.00/1.26 inference(resolution,[status(thm)],[f5137,f100])).
% 6.00/1.26 fof(f5215,plain,(
% 6.00/1.26 ![X0]: (coll(sK23_skl,sK23_skl,X0)|~sQ53_spl)),
% 6.00/1.26 inference(resolution,[status(thm)],[f5206,f98])).
% 6.00/1.26 fof(f5222,plain,(
% 6.00/1.26 ![X0,X1]: (~coll(sK23_skl,sK23_skl,X0)|coll(X1,X0,sK23_skl)|~sQ53_spl)),
% 6.00/1.26 inference(resolution,[status(thm)],[f5215,f103])).
% 6.00/1.26 fof(f5243,plain,(
% 6.00/1.26 ![X0,X1]: (coll(X0,X1,sK23_skl)|~sQ53_spl)),
% 6.00/1.26 inference(forward_subsumption_resolution,[status(thm)],[f5222,f5215])).
% 6.00/1.26 fof(f5276,plain,(
% 6.00/1.26 ![X0,X1]: (coll(X0,sK23_skl,X1)|~sQ53_spl)),
% 6.00/1.26 inference(resolution,[status(thm)],[f5243,f98])).
% 6.00/1.26 fof(f5293,plain,(
% 6.00/1.26 ![X0,X1,X2]: (~coll(X0,sK23_skl,X1)|coll(X2,X1,X0)|~sQ53_spl)),
% 6.00/1.26 inference(resolution,[status(thm)],[f5276,f103])).
% 6.00/1.26 fof(f5302,plain,(
% 6.00/1.26 ![X0,X1,X2]: (coll(X0,X1,X2)|~sQ53_spl)),
% 6.00/1.26 inference(forward_subsumption_resolution,[status(thm)],[f5293,f5276])).
% 6.00/1.26 fof(f5311,plain,(
% 6.00/1.26 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|cyclic(X1,X2,X0,X3)|~sQ53_spl)),
% 6.00/1.26 inference(backward_subsumption_resolution,[status(thm)],[f195,f5302])).
% 6.00/1.26 fof(f5449,plain,(
% 6.00/1.26 ![X0]: (cyclic(sK26_skl,X0,sK27_skl,sK27_skl)|~sQ53_spl)),
% 6.00/1.26 inference(resolution,[status(thm)],[f5311,f639])).
% 6.00/1.26 fof(f6386,plain,(
% 6.00/1.26 ![X0]: (cyclic(sK26_skl,sK27_skl,X0,sK27_skl)|~sQ53_spl)),
% 6.00/1.26 inference(resolution,[status(thm)],[f5449,f131])).
% 6.00/1.26 fof(f6734,plain,(
% 6.00/1.26 ![X0]: (cyclic(sK26_skl,sK27_skl,sK27_skl,X0)|~sQ53_spl)),
% 6.00/1.26 inference(resolution,[status(thm)],[f6386,f129])).
% 6.00/1.26 fof(f6871,plain,(
% 6.00/1.26 ![X0,X1]: (~cyclic(sK26_skl,sK27_skl,sK27_skl,X0)|cyclic(sK27_skl,sK27_skl,X1,X0)|~sQ53_spl)),
% 6.00/1.26 inference(resolution,[status(thm)],[f6734,f136])).
% 6.00/1.26 fof(f6882,plain,(
% 6.00/1.26 ![X0,X1]: (cyclic(sK27_skl,sK27_skl,X0,X1)|~sQ53_spl)),
% 6.00/1.26 inference(forward_subsumption_resolution,[status(thm)],[f6871,f6734])).
% 6.00/1.26 fof(f6942,plain,(
% 6.00/1.26 ![X0,X1,X2]: (~cyclic(sK27_skl,sK27_skl,X0,X1)|cyclic(sK27_skl,X0,X2,X1)|~sQ53_spl)),
% 6.00/1.26 inference(resolution,[status(thm)],[f6882,f136])).
% 6.00/1.26 fof(f6953,plain,(
% 6.00/1.26 ![X0,X1,X2]: (cyclic(sK27_skl,X0,X1,X2)|~sQ53_spl)),
% 6.00/1.26 inference(forward_subsumption_resolution,[status(thm)],[f6942,f6882])).
% 6.00/1.26 fof(f6982,plain,(
% 6.00/1.26 ![X0,X1,X2,X3]: (~cyclic(sK27_skl,X0,X1,X2)|cyclic(X0,X1,X3,X2)|~sQ53_spl)),
% 6.00/1.26 inference(resolution,[status(thm)],[f6953,f136])).
% 6.00/1.26 fof(f6987,plain,(
% 6.00/1.26 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3)|~sQ53_spl)),
% 6.00/1.26 inference(forward_subsumption_resolution,[status(thm)],[f6982,f6953])).
% 6.00/1.26 fof(f6989,plain,(
% 6.00/1.26 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X1,X0,X0,X3)|~sQ53_spl)),
% 6.00/1.26 inference(backward_subsumption_resolution,[status(thm)],[f235,f6987])).
% 6.00/1.26 fof(f6990,plain,(
% 6.00/1.26 ![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)|~sQ53_spl)),
% 6.00/1.26 inference(backward_subsumption_resolution,[status(thm)],[f198,f6987])).
% 6.00/1.26 fof(f6996,plain,(
% 6.00/1.26 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~sQ53_spl)),
% 6.00/1.26 inference(backward_subsumption_resolution,[status(thm)],[f191,f6987])).
% 6.00/1.27 fof(f6997,plain,(
% 6.00/1.27 ![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)|~sQ53_spl)),
% 6.00/1.27 inference(forward_subsumption_resolution,[status(thm)],[f6990,f6987])).
% 6.00/1.27 fof(f7011,plain,(
% 6.00/1.27 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X0,X2,X3,X4,X3,X5)|cong(X1,X2,X4,X5)|~sQ53_spl)),
% 6.00/1.27 inference(forward_subsumption_resolution,[status(thm)],[f6997,f6987])).
% 6.00/1.27 fof(f7315,plain,(
% 6.00/1.27 ![X0,X1]: (cong(X0,X1,X0,X1)|~sQ53_spl)),
% 6.00/1.27 inference(resolution,[status(thm)],[f6996,f7011])).
% 6.00/1.27 fof(f7367,plain,(
% 6.00/1.27 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X2,X0,X0,X1)|~sQ53_spl)),
% 6.00/1.27 inference(resolution,[status(thm)],[f7315,f6989])).
% 6.00/1.27 fof(f7379,plain,(
% 6.00/1.27 ![X0,X1,X2]: (perp(X0,X1,X1,X2)|~sQ53_spl)),
% 6.00/1.27 inference(forward_subsumption_resolution,[status(thm)],[f7367,f7315])).
% 6.00/1.27 fof(f7541,plain,(
% 6.00/1.27 ![X0,X1,X2]: (perp(X0,X1,X2,X1)|~sQ53_spl)),
% 6.00/1.27 inference(resolution,[status(thm)],[f7379,f112])).
% 6.00/1.27 fof(f7990,plain,(
% 6.00/1.27 $false|~sQ53_spl),
% 6.00/1.27 inference(backward_subsumption_resolution,[status(thm)],[f381,f7541])).
% 6.00/1.27 fof(f8011,plain,(
% 6.00/1.27 ~sQ53_spl),
% 6.00/1.27 inference(contradiction_clause,[status(thm)],[f7990])).
% 6.00/1.27 fof(f8012,plain,(
% 6.00/1.27 $false),
% 6.00/1.27 inference(sat_refutation,[status(thm)],[f897,f1133,f1561,f1932,f8011])).
% 6.00/1.27 % SZS output end CNFRefutation for theBenchmark.p
% 6.00/1.28 % Elapsed time: 0.846172 seconds
% 6.00/1.28 % CPU time: 6.415293 seconds
% 6.00/1.28 % Total memory used: 123.944 MB
% 6.00/1.28 % Net memory used: 119.173 MB
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