%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO619+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 : n026.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 12:26:44 PM UTC 2026
% Result : Theorem 1.88s 0.71s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO619+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
% 0.10/0.37 % Computer : n026.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 20 18:00:21 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.39 % Drodi V4.1.1
% 1.88/0.71 % Refutation found
% 1.88/0.71 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.88/0.71 % SZS output start CNFRefutation for theBenchmark
% 1.88/0.71 fof(f1,axiom,(
% 1.88/0.71 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 1.88/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.88/0.71 fof(f2,axiom,(
% 1.88/0.71 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 1.88/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.88/0.71 fof(f3,axiom,(
% 1.88/0.71 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 1.88/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.88/0.71 fof(f8,axiom,(
% 1.88/0.71 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 1.88/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.88/0.71 fof(f9,axiom,(
% 1.88/0.71 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 1.88/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.88/0.71 fof(f11,axiom,(
% 1.88/0.71 (! [A,B,M] :( midp(M,B,A)=> midp(M,A,B) ) )),
% 1.88/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.88/0.71 fof(f14,axiom,(
% 1.88/0.71 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,B,D,C) ) )),
% 1.88/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.88/0.71 fof(f15,axiom,(
% 1.88/0.71 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,C,B,D) ) )),
% 1.88/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.88/0.71 fof(f17,axiom,(
% 1.88/0.71 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 1.88/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.88/0.71 fof(f23,axiom,(
% 1.88/0.71 (! [A,B,C,D] :( cong(A,B,C,D)=> cong(A,B,D,C) ) )),
% 1.88/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.88/0.71 fof(f24,axiom,(
% 1.88/0.71 (! [A,B,C,D] :( cong(A,B,C,D)=> cong(C,D,A,B) ) )),
% 1.88/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.88/0.71 fof(f25,axiom,(
% 1.88/0.71 (! [A,B,C,D,E,F] :( ( cong(A,B,C,D)& cong(C,D,E,F) )=> cong(A,B,E,F) ) )),
% 1.88/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.88/0.71 fof(f40,axiom,(
% 1.88/0.71 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 1.88/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.88/0.71 fof(f43,axiom,(
% 1.88/0.71 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 1.88/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.88/0.71 fof(f44,axiom,(
% 1.88/0.71 (! [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) ) )),
% 1.88/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.88/0.71 fof(f53,axiom,(
% 1.88/0.71 (! [A,B,C,M] :( ( perp(A,B,B,C)& midp(M,A,C) )=> cong(A,M,B,M) ) )),
% 1.88/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.88/0.71 fof(f58,axiom,(
% 1.88/0.71 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q)& cyclic(A,B,P,Q) )=> perp(P,A,A,Q) ) )),
% 1.88/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.88/0.71 fof(f64,axiom,(
% 1.88/0.71 (! [A,B,C,D,M] :( ( midp(M,A,B)& midp(M,C,D) )=> para(A,C,B,D) ) )),
% 1.88/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.88/0.71 fof(f67,axiom,(
% 1.88/0.71 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 1.88/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.88/0.71 fof(f68,axiom,(
% 1.88/0.71 (! [A,B,C] :( ( cong(A,B,A,C)& coll(A,B,C) )=> midp(A,B,C) ) )),
% 1.88/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.88/0.71 fof(f70,axiom,(
% 1.88/0.71 (! [A,B,C] :( midp(A,B,C)=> coll(A,B,C) ) )),
% 1.88/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.88/0.71 fof(f83,axiom,(
% 1.88/0.71 (! [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) ) ))),
% 1.88/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.88/0.71 fof(f95,conjecture,(
% 1.88/0.71 (! [A,B,C,D,E,F,G,H,NWPNT1,NWPNT2,NWPNT3,NWPNT4] :( ( perp(C,A,C,B)& cong(A,C,B,C)& coll(D,A,B)& eqangle(E,C,C,A,A,C,C,D)& coll(E,A,B)& midp(F,D,E)& circle(F,E,NWPNT1,NWPNT2)& coll(G,C,E)& circle(F,E,G,NWPNT3)& coll(H,C,D)& circle(F,E,H,NWPNT4) )=> cong(D,G,D,H) ) )),
% 1.88/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.88/0.71 fof(f96,negated_conjecture,(
% 1.88/0.71 ~((! [A,B,C,D,E,F,G,H,NWPNT1,NWPNT2,NWPNT3,NWPNT4] :( ( perp(C,A,C,B)& cong(A,C,B,C)& coll(D,A,B)& eqangle(E,C,C,A,A,C,C,D)& coll(E,A,B)& midp(F,D,E)& circle(F,E,NWPNT1,NWPNT2)& coll(G,C,E)& circle(F,E,G,NWPNT3)& coll(H,C,D)& circle(F,E,H,NWPNT4) )=> cong(D,G,D,H) ) ))),
% 1.88/0.71 inference(negated_conjecture,[status(cth)],[f95])).
% 1.88/0.71 fof(f97,plain,(
% 1.88/0.71 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 1.88/0.71 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 1.88/0.71 fof(f98,plain,(
% 1.88/0.71 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 1.88/0.71 inference(cnf_transformation,[status(thm)],[f97])).
% 1.88/0.71 fof(f99,plain,(
% 1.88/0.71 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 1.88/0.71 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 1.88/0.71 fof(f100,plain,(
% 1.88/0.71 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 1.88/0.71 inference(cnf_transformation,[status(thm)],[f99])).
% 1.88/0.71 fof(f101,plain,(
% 1.88/0.71 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 1.88/0.71 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 1.88/0.71 fof(f102,plain,(
% 1.88/0.71 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 1.88/0.71 inference(miniscoping,[status(thm)],[f101])).
% 1.88/0.71 fof(f103,plain,(
% 1.88/0.71 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 1.88/0.71 inference(cnf_transformation,[status(thm)],[f102])).
% 1.88/0.71 fof(f113,plain,(
% 1.88/0.71 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 1.88/0.71 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 1.88/0.71 fof(f114,plain,(
% 1.88/0.71 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 1.88/0.71 inference(cnf_transformation,[status(thm)],[f113])).
% 1.88/0.71 fof(f115,plain,(
% 1.88/0.71 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 1.88/0.71 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 1.88/0.71 fof(f116,plain,(
% 1.88/0.71 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 1.88/0.71 inference(miniscoping,[status(thm)],[f115])).
% 1.88/0.71 fof(f117,plain,(
% 1.88/0.71 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 1.88/0.71 inference(cnf_transformation,[status(thm)],[f116])).
% 1.88/0.71 fof(f121,plain,(
% 1.88/0.71 ![A,B,M]: (~midp(M,B,A)|midp(M,A,B))),
% 1.88/0.71 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 1.88/0.71 fof(f122,plain,(
% 1.88/0.71 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X0,X2,X1))),
% 1.88/0.71 inference(cnf_transformation,[status(thm)],[f121])).
% 1.88/0.71 fof(f128,plain,(
% 1.88/0.71 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,B,D,C))),
% 1.88/0.71 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 1.88/0.71 fof(f129,plain,(
% 1.88/0.71 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X1,X3,X2))),
% 1.88/0.71 inference(cnf_transformation,[status(thm)],[f128])).
% 1.88/0.71 fof(f130,plain,(
% 1.88/0.71 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,C,B,D))),
% 1.88/0.71 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 1.88/0.71 fof(f131,plain,(
% 1.88/0.71 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X2,X1,X3))),
% 1.88/0.71 inference(cnf_transformation,[status(thm)],[f130])).
% 1.88/0.71 fof(f134,plain,(
% 1.88/0.71 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 1.88/0.71 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 1.88/0.71 fof(f135,plain,(
% 1.88/0.71 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 1.88/0.71 inference(miniscoping,[status(thm)],[f134])).
% 1.88/0.71 fof(f136,plain,(
% 1.88/0.71 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 1.88/0.71 inference(cnf_transformation,[status(thm)],[f135])).
% 1.88/0.71 fof(f148,plain,(
% 1.88/0.71 ![A,B,C,D]: (~cong(A,B,C,D)|cong(A,B,D,C))),
% 1.88/0.71 inference(pre_NNF_transformation,[status(thm)],[f23])).
% 1.88/0.71 fof(f149,plain,(
% 1.88/0.71 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X3)|cong(X0,X1,X3,X2))),
% 1.88/0.71 inference(cnf_transformation,[status(thm)],[f148])).
% 1.88/0.71 fof(f150,plain,(
% 1.88/0.71 ![A,B,C,D]: (~cong(A,B,C,D)|cong(C,D,A,B))),
% 1.88/0.71 inference(pre_NNF_transformation,[status(thm)],[f24])).
% 1.88/0.71 fof(f151,plain,(
% 1.88/0.71 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X3)|cong(X2,X3,X0,X1))),
% 1.88/0.71 inference(cnf_transformation,[status(thm)],[f150])).
% 1.88/0.71 fof(f152,plain,(
% 1.88/0.71 ![A,B,C,D,E,F]: ((~cong(A,B,C,D)|~cong(C,D,E,F))|cong(A,B,E,F))),
% 1.88/0.71 inference(pre_NNF_transformation,[status(thm)],[f25])).
% 1.88/0.71 fof(f153,plain,(
% 1.88/0.71 ![A,B,E,F]: ((![C,D]: (~cong(A,B,C,D)|~cong(C,D,E,F)))|cong(A,B,E,F))),
% 1.88/0.71 inference(miniscoping,[status(thm)],[f152])).
% 1.88/0.71 fof(f154,plain,(
% 1.88/0.71 ![X0,X1,X2,X3,X4,X5]: (~cong(X0,X1,X2,X3)|~cong(X2,X3,X4,X5)|cong(X0,X1,X4,X5))),
% 1.88/0.71 inference(cnf_transformation,[status(thm)],[f153])).
% 1.88/0.71 fof(f187,plain,(
% 1.88/0.71 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 1.88/0.71 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 1.88/0.71 fof(f188,plain,(
% 1.88/0.71 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 1.88/0.71 inference(miniscoping,[status(thm)],[f187])).
% 1.88/0.71 fof(f189,plain,(
% 1.88/0.71 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 1.88/0.71 inference(cnf_transformation,[status(thm)],[f188])).
% 1.88/0.71 fof(f194,plain,(
% 1.88/0.71 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 1.88/0.71 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 1.88/0.71 fof(f195,plain,(
% 1.88/0.71 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 1.88/0.71 inference(cnf_transformation,[status(thm)],[f194])).
% 1.88/0.71 fof(f196,plain,(
% 1.88/0.71 ![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))),
% 1.88/0.71 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 1.88/0.71 fof(f197,plain,(
% 1.88/0.71 ![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))),
% 1.88/0.71 inference(miniscoping,[status(thm)],[f196])).
% 1.88/0.71 fof(f198,plain,(
% 1.88/0.71 ![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))),
% 1.88/0.71 inference(cnf_transformation,[status(thm)],[f197])).
% 1.88/0.71 fof(f220,plain,(
% 1.88/0.71 ![A,B,C,M]: ((~perp(A,B,B,C)|~midp(M,A,C))|cong(A,M,B,M))),
% 1.88/0.71 inference(pre_NNF_transformation,[status(thm)],[f53])).
% 1.88/0.71 fof(f221,plain,(
% 1.88/0.71 ![A,B,M]: ((![C]: (~perp(A,B,B,C)|~midp(M,A,C)))|cong(A,M,B,M))),
% 1.88/0.71 inference(miniscoping,[status(thm)],[f220])).
% 1.88/0.71 fof(f222,plain,(
% 1.88/0.71 ![X0,X1,X2,X3]: (~perp(X0,X1,X1,X2)|~midp(X3,X0,X2)|cong(X0,X3,X1,X3))),
% 1.88/0.71 inference(cnf_transformation,[status(thm)],[f221])).
% 1.88/0.71 fof(f233,plain,(
% 1.88/0.71 ![A,B,P,Q]: (((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q))|perp(P,A,A,Q))),
% 1.88/0.71 inference(pre_NNF_transformation,[status(thm)],[f58])).
% 1.88/0.71 fof(f234,plain,(
% 1.88/0.71 ![A,P,Q]: ((![B]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q)))|perp(P,A,A,Q))),
% 1.88/0.71 inference(miniscoping,[status(thm)],[f233])).
% 1.88/0.71 fof(f235,plain,(
% 1.88/0.71 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|~cyclic(X0,X2,X1,X3)|perp(X1,X0,X0,X3))),
% 1.88/0.71 inference(cnf_transformation,[status(thm)],[f234])).
% 1.88/0.71 fof(f247,plain,(
% 1.88/0.71 ![A,B,C,D,M]: ((~midp(M,A,B)|~midp(M,C,D))|para(A,C,B,D))),
% 1.88/0.71 inference(pre_NNF_transformation,[status(thm)],[f64])).
% 1.88/0.71 fof(f248,plain,(
% 1.88/0.71 ![A,B,C,D]: ((![M]: (~midp(M,A,B)|~midp(M,C,D)))|para(A,C,B,D))),
% 1.88/0.71 inference(miniscoping,[status(thm)],[f247])).
% 1.88/0.71 fof(f249,plain,(
% 1.88/0.71 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~midp(X0,X3,X4)|para(X1,X3,X2,X4))),
% 1.88/0.71 inference(cnf_transformation,[status(thm)],[f248])).
% 1.88/0.71 fof(f255,plain,(
% 1.88/0.71 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 1.88/0.71 inference(pre_NNF_transformation,[status(thm)],[f67])).
% 1.88/0.71 fof(f256,plain,(
% 1.88/0.71 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 1.88/0.71 inference(cnf_transformation,[status(thm)],[f255])).
% 1.88/0.71 fof(f257,plain,(
% 1.88/0.71 ![A,B,C]: ((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))),
% 1.88/0.71 inference(pre_NNF_transformation,[status(thm)],[f68])).
% 1.88/0.71 fof(f258,plain,(
% 1.88/0.71 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|~coll(X0,X1,X2)|midp(X0,X1,X2))),
% 1.88/0.71 inference(cnf_transformation,[status(thm)],[f257])).
% 1.88/0.71 fof(f261,plain,(
% 1.88/0.71 ![A,B,C]: (~midp(A,B,C)|coll(A,B,C))),
% 1.88/0.71 inference(pre_NNF_transformation,[status(thm)],[f70])).
% 1.88/0.71 fof(f262,plain,(
% 1.88/0.71 ![X0,X1,X2]: (~midp(X0,X1,X2)|coll(X0,X1,X2))),
% 1.88/0.71 inference(cnf_transformation,[status(thm)],[f261])).
% 1.88/0.71 fof(f309,plain,(
% 1.88/0.71 ![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)))),
% 1.88/0.71 inference(pre_NNF_transformation,[status(thm)],[f83])).
% 1.88/0.71 fof(f310,plain,(
% 1.88/0.71 ![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)))),
% 1.88/0.71 inference(miniscoping,[status(thm)],[f309])).
% 1.88/0.71 fof(f311,plain,(
% 1.88/0.71 ![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)))),
% 1.88/0.71 inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl]),skolemize(P,sK6_skl(Q,A))],[f310])).
% 1.88/0.71 fof(f312,plain,(
% 1.88/0.71 ![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))),
% 1.88/0.71 inference(cnf_transformation,[status(thm)],[f311])).
% 1.88/0.71 fof(f369,plain,(
% 1.88/0.71 (?[A,B,C,D,E,F,G,H,NWPNT1,NWPNT2,NWPNT3,NWPNT4]: (((((((((((perp(C,A,C,B)&cong(A,C,B,C))&coll(D,A,B))&eqangle(E,C,C,A,A,C,C,D))&coll(E,A,B))&midp(F,D,E))&circle(F,E,NWPNT1,NWPNT2))&coll(G,C,E))&circle(F,E,G,NWPNT3))&coll(H,C,D))&circle(F,E,H,NWPNT4))&~cong(D,G,D,H)))),
% 1.88/0.71 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 1.88/0.71 fof(f370,plain,(
% 1.88/0.71 ?[D,G,H]: ((?[E,F]: ((?[C]: ((((((?[A,B]: ((((perp(C,A,C,B)&cong(A,C,B,C))&coll(D,A,B))&eqangle(E,C,C,A,A,C,C,D))&coll(E,A,B)))&midp(F,D,E))&(?[NWPNT1,NWPNT2]: circle(F,E,NWPNT1,NWPNT2)))&coll(G,C,E))&(?[NWPNT3]: circle(F,E,G,NWPNT3)))&coll(H,C,D)))&(?[NWPNT4]: circle(F,E,H,NWPNT4))))&~cong(D,G,D,H))),
% 1.88/0.71 inference(miniscoping,[status(thm)],[f369])).
% 1.88/0.71 fof(f371,plain,(
% 1.88/0.71 (((((((((((perp(sK25_skl,sK26_skl,sK25_skl,sK27_skl)&cong(sK26_skl,sK25_skl,sK27_skl,sK25_skl))&coll(sK20_skl,sK26_skl,sK27_skl))&eqangle(sK23_skl,sK25_skl,sK25_skl,sK26_skl,sK26_skl,sK25_skl,sK25_skl,sK20_skl))&coll(sK23_skl,sK26_skl,sK27_skl))&midp(sK24_skl,sK20_skl,sK23_skl))&circle(sK24_skl,sK23_skl,sK28_skl,sK29_skl))&coll(sK21_skl,sK25_skl,sK23_skl))&circle(sK24_skl,sK23_skl,sK21_skl,sK30_skl))&coll(sK22_skl,sK25_skl,sK20_skl))&circle(sK24_skl,sK23_skl,sK22_skl,sK31_skl))&~cong(sK20_skl,sK21_skl,sK20_skl,sK22_skl))),
% 1.88/0.71 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,sK29_skl,sK30_skl,sK31_skl]),skolemize(D,sK20_skl),skolemize(G,sK21_skl),skolemize(H,sK22_skl),skolemize(E,sK23_skl),skolemize(F,sK24_skl),skolemize(C,sK25_skl),skolemize(A,sK26_skl),skolemize(B,sK27_skl),skolemize(NWPNT1,sK28_skl),skolemize(NWPNT2,sK29_skl),skolemize(NWPNT3,sK30_skl),skolemize(NWPNT4,sK31_skl)],[f370])).
% 1.88/0.71 fof(f372,plain,(
% 1.88/0.71 perp(sK25_skl,sK26_skl,sK25_skl,sK27_skl)),
% 1.88/0.71 inference(cnf_transformation,[status(thm)],[f371])).
% 1.88/0.71 fof(f373,plain,(
% 1.88/0.71 cong(sK26_skl,sK25_skl,sK27_skl,sK25_skl)),
% 1.88/0.71 inference(cnf_transformation,[status(thm)],[f371])).
% 1.88/0.71 fof(f381,plain,(
% 1.88/0.71 coll(sK22_skl,sK25_skl,sK20_skl)),
% 1.88/0.71 inference(cnf_transformation,[status(thm)],[f371])).
% 1.88/0.71 fof(f383,plain,(
% 1.88/0.71 ~cong(sK20_skl,sK21_skl,sK20_skl,sK22_skl)),
% 1.88/0.71 inference(cnf_transformation,[status(thm)],[f371])).
% 1.88/0.71 fof(f384,plain,(
% 1.88/0.71 coll(sK22_skl,sK20_skl,sK25_skl)),
% 1.88/0.71 inference(resolution,[status(thm)],[f98,f381])).
% 1.88/0.71 fof(f404,plain,(
% 1.88/0.71 coll(sK25_skl,sK25_skl,sK22_skl)),
% 1.88/0.71 inference(resolution,[status(thm)],[f384,f103])).
% 1.88/0.71 fof(f477,plain,(
% 1.88/0.71 perp(sK25_skl,sK27_skl,sK25_skl,sK26_skl)),
% 1.88/0.71 inference(resolution,[status(thm)],[f114,f372])).
% 1.88/0.71 fof(f483,plain,(
% 1.88/0.71 coll(sK25_skl,sK22_skl,sK25_skl)),
% 1.88/0.71 inference(resolution,[status(thm)],[f404,f98])).
% 1.88/0.71 fof(f503,plain,(
% 1.88/0.71 ![X0,X1]: (~perp(X0,X1,sK25_skl,sK26_skl)|para(X0,X1,sK25_skl,sK27_skl))),
% 1.88/0.71 inference(resolution,[status(thm)],[f117,f372])).
% 1.88/0.71 fof(f633,plain,(
% 1.88/0.71 coll(sK25_skl,sK25_skl,sK25_skl)),
% 1.88/0.71 inference(resolution,[status(thm)],[f483,f103])).
% 1.88/0.71 fof(f651,plain,(
% 1.88/0.71 cong(sK27_skl,sK25_skl,sK26_skl,sK25_skl)),
% 1.88/0.71 inference(resolution,[status(thm)],[f151,f373])).
% 1.88/0.71 fof(f653,plain,(
% 1.88/0.71 ![X0,X1]: (~cong(X0,X1,sK26_skl,sK25_skl)|cong(X0,X1,sK27_skl,sK25_skl))),
% 1.88/0.71 inference(resolution,[status(thm)],[f154,f373])).
% 1.88/0.71 fof(f1171,plain,(
% 1.88/0.71 para(sK25_skl,sK27_skl,sK25_skl,sK27_skl)),
% 1.88/0.71 inference(resolution,[status(thm)],[f503,f477])).
% 1.88/0.71 fof(f1814,plain,(
% 1.88/0.71 cong(sK27_skl,sK25_skl,sK27_skl,sK25_skl)),
% 1.88/0.71 inference(resolution,[status(thm)],[f653,f651])).
% 1.88/0.71 fof(f1940,plain,(
% 1.88/0.71 coll(sK25_skl,sK27_skl,sK27_skl)),
% 1.88/0.71 inference(resolution,[status(thm)],[f1171,f256])).
% 1.88/0.71 fof(f1963,plain,(
% 1.88/0.71 coll(sK27_skl,sK27_skl,sK25_skl)),
% 1.88/0.71 inference(resolution,[status(thm)],[f1940,f103])).
% 1.88/0.71 fof(f1974,plain,(
% 1.88/0.71 coll(sK25_skl,sK25_skl,sK27_skl)),
% 1.88/0.71 inference(resolution,[status(thm)],[f1963,f103])).
% 1.88/0.71 fof(f2001,plain,(
% 1.88/0.71 coll(sK25_skl,sK27_skl,sK25_skl)),
% 1.88/0.71 inference(resolution,[status(thm)],[f1974,f98])).
% 1.88/0.71 fof(f2011,plain,(
% 1.88/0.71 coll(sK27_skl,sK25_skl,sK25_skl)),
% 1.88/0.71 inference(resolution,[status(thm)],[f2001,f100])).
% 1.88/0.71 fof(f2205,plain,(
% 1.88/0.71 ~coll(sK27_skl,sK25_skl,sK25_skl)|midp(sK27_skl,sK25_skl,sK25_skl)),
% 1.88/0.71 inference(resolution,[status(thm)],[f1814,f258])).
% 1.88/0.71 fof(f2227,plain,(
% 1.88/0.71 midp(sK27_skl,sK25_skl,sK25_skl)),
% 1.88/0.71 inference(forward_subsumption_resolution,[status(thm)],[f2205,f2011])).
% 1.88/0.71 fof(f2334,plain,(
% 1.88/0.71 ![X0]: (~coll(sK25_skl,sK25_skl,sK25_skl)|~coll(sK25_skl,sK25_skl,sK25_skl)|midp(sK6_skl(X0,sK25_skl),sK25_skl,X0))),
% 1.88/0.71 inference(resolution,[status(thm)],[f312,f2227])).
% 1.88/0.71 fof(f2748,plain,(
% 1.88/0.71 ![X0]: (~coll(sK25_skl,sK25_skl,sK25_skl)|midp(sK6_skl(X0,sK25_skl),sK25_skl,X0))),
% 1.88/0.71 inference(duplicate_literals_removal,[status(thm)],[f2334])).
% 1.88/0.71 fof(f2749,plain,(
% 1.88/0.71 ![X0]: (midp(sK6_skl(X0,sK25_skl),sK25_skl,X0))),
% 1.88/0.71 inference(forward_subsumption_resolution,[status(thm)],[f2748,f633])).
% 1.88/0.71 fof(f3789,plain,(
% 1.88/0.71 ![X0]: (coll(sK6_skl(X0,sK25_skl),sK25_skl,X0))),
% 1.88/0.71 inference(resolution,[status(thm)],[f2749,f262])).
% 1.88/0.71 fof(f3793,plain,(
% 1.88/0.71 ![X0]: (midp(sK6_skl(X0,sK25_skl),X0,sK25_skl))),
% 1.88/0.71 inference(resolution,[status(thm)],[f2749,f122])).
% 1.88/0.71 fof(f4575,plain,(
% 1.88/0.71 ![X0]: (coll(sK25_skl,sK6_skl(X0,sK25_skl),X0))),
% 1.88/0.71 inference(resolution,[status(thm)],[f3789,f100])).
% 1.88/0.71 fof(f6559,plain,(
% 1.88/0.71 ![X0]: (coll(X0,X0,sK25_skl))),
% 1.88/0.71 inference(resolution,[status(thm)],[f4575,f103])).
% 1.88/0.71 fof(f6635,plain,(
% 1.88/0.71 ![X0]: (coll(sK25_skl,sK25_skl,X0))),
% 1.88/0.71 inference(resolution,[status(thm)],[f6559,f103])).
% 1.88/0.71 fof(f6769,plain,(
% 1.88/0.71 ![X0,X1]: (~coll(sK25_skl,sK25_skl,X0)|coll(X0,X1,sK25_skl))),
% 1.88/0.71 inference(resolution,[status(thm)],[f6635,f103])).
% 1.88/0.71 fof(f6779,plain,(
% 1.88/0.71 ![X0,X1]: (coll(X0,X1,sK25_skl))),
% 1.88/0.71 inference(forward_subsumption_resolution,[status(thm)],[f6769,f6635])).
% 1.88/0.71 fof(f6819,plain,(
% 1.88/0.71 ![X0,X1]: (coll(X0,sK25_skl,X1))),
% 1.88/0.71 inference(resolution,[status(thm)],[f6779,f98])).
% 1.88/0.71 fof(f6857,plain,(
% 1.88/0.71 ![X0,X1,X2]: (~coll(X0,sK25_skl,X1)|coll(X1,X2,X0))),
% 1.88/0.71 inference(resolution,[status(thm)],[f6819,f103])).
% 1.88/0.71 fof(f6873,plain,(
% 1.88/0.71 ![X0,X1,X2]: (coll(X0,X1,X2))),
% 1.88/0.71 inference(forward_subsumption_resolution,[status(thm)],[f6857,f6819])).
% 1.88/0.71 fof(f6917,plain,(
% 1.88/0.71 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|cyclic(X1,X2,X0,X3))),
% 1.88/0.71 inference(backward_subsumption_resolution,[status(thm)],[f195,f6873])).
% 1.88/0.71 fof(f6918,plain,(
% 1.88/0.71 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|midp(X0,X1,X2))),
% 1.88/0.71 inference(backward_subsumption_resolution,[status(thm)],[f258,f6873])).
% 1.88/0.71 fof(f6925,plain,(
% 1.88/0.71 ![X0,X1,X2,X3,X4,X5,X6]: (~midp(X0,X1,X2)|~midp(X3,X4,X5)|~coll(X4,X1,X2)|midp(sK6_skl(X6,X1),X1,X6))),
% 1.88/0.71 inference(backward_subsumption_resolution,[status(thm)],[f312,f6873])).
% 1.88/0.71 fof(f6928,plain,(
% 1.88/0.71 ![X0,X1,X2,X3,X4,X5,X6]: (~midp(X0,X1,X2)|~midp(X3,X4,X5)|midp(sK6_skl(X6,X1),X1,X6))),
% 1.88/0.71 inference(forward_subsumption_resolution,[status(thm)],[f6925,f6873])).
% 1.88/0.71 fof(f6965,plain,(
% 1.88/0.71 ![X0,X1]: (midp(sK6_skl(X0,X1),X1,X0))),
% 1.88/0.71 inference(resolution,[status(thm)],[f6928,f3793])).
% 1.88/0.71 fof(f7194,plain,(
% 1.88/0.71 ![X0,X1]: (para(X0,X0,X1,X1))),
% 1.88/0.71 inference(resolution,[status(thm)],[f6965,f249])).
% 1.88/0.71 fof(f7216,plain,(
% 1.88/0.71 ![X0,X1,X2,X3]: (eqangle(X0,X0,X1,X2,X3,X3,X1,X2))),
% 1.88/0.71 inference(resolution,[status(thm)],[f7194,f189])).
% 1.88/0.71 fof(f7640,plain,(
% 1.88/0.71 ![X0,X1]: (cyclic(X0,X1,X0,X0))),
% 1.88/0.71 inference(resolution,[status(thm)],[f7216,f6917])).
% 1.88/0.71 fof(f7664,plain,(
% 1.88/0.71 ![X0,X1]: (cyclic(X0,X0,X1,X0))),
% 1.88/0.71 inference(resolution,[status(thm)],[f7640,f131])).
% 1.88/0.71 fof(f7687,plain,(
% 1.88/0.71 ![X0,X1]: (cyclic(X0,X0,X0,X1))),
% 1.88/0.71 inference(resolution,[status(thm)],[f7664,f129])).
% 1.88/0.71 fof(f7692,plain,(
% 1.88/0.71 ![X0,X1,X2]: (~cyclic(X0,X0,X0,X1)|cyclic(X0,X0,X1,X2))),
% 1.88/0.71 inference(resolution,[status(thm)],[f7687,f136])).
% 1.88/0.71 fof(f7698,plain,(
% 1.88/0.71 ![X0,X1,X2]: (cyclic(X0,X0,X1,X2))),
% 1.88/0.71 inference(forward_subsumption_resolution,[status(thm)],[f7692,f7687])).
% 1.88/0.71 fof(f7715,plain,(
% 1.88/0.71 ![X0,X1,X2,X3]: (~cyclic(X0,X0,X1,X2)|cyclic(X0,X1,X2,X3))),
% 1.88/0.71 inference(resolution,[status(thm)],[f7698,f136])).
% 1.88/0.71 fof(f7721,plain,(
% 1.88/0.71 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3))),
% 1.88/0.71 inference(forward_subsumption_resolution,[status(thm)],[f7715,f7698])).
% 1.88/0.71 fof(f7749,plain,(
% 1.88/0.71 ![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))),
% 1.88/0.71 inference(backward_subsumption_resolution,[status(thm)],[f198,f7721])).
% 1.88/0.71 fof(f7751,plain,(
% 1.88/0.71 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X1,X0,X0,X3))),
% 1.88/0.71 inference(backward_subsumption_resolution,[status(thm)],[f235,f7721])).
% 1.88/0.71 fof(f7753,plain,(
% 1.88/0.71 ![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))),
% 1.88/0.71 inference(forward_subsumption_resolution,[status(thm)],[f7749,f7721])).
% 1.88/0.71 fof(f7796,plain,(
% 1.88/0.71 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X0,X2,X3,X4,X3,X5)|cong(X1,X2,X4,X5))),
% 1.88/0.71 inference(forward_subsumption_resolution,[status(thm)],[f7753,f7721])).
% 2.15/0.73 fof(f7797,plain,(
% 2.15/0.73 ![X0,X1]: (cong(X0,X1,X0,X1))),
% 2.15/0.73 inference(resolution,[status(thm)],[f7796,f7216])).
% 2.15/0.73 fof(f7813,plain,(
% 2.15/0.73 ![X0,X1]: (midp(X0,X1,X1))),
% 2.15/0.73 inference(resolution,[status(thm)],[f7797,f6918])).
% 2.15/0.73 fof(f7923,plain,(
% 2.15/0.73 ![X0,X1]: (perp(X0,X1,X1,X0))),
% 2.15/0.73 inference(resolution,[status(thm)],[f7751,f7797])).
% 2.15/0.73 fof(f8058,plain,(
% 2.15/0.73 ![X0,X1,X2]: (~midp(X0,X1,X1)|cong(X1,X0,X2,X0))),
% 2.15/0.73 inference(resolution,[status(thm)],[f7923,f222])).
% 2.15/0.73 fof(f8071,plain,(
% 2.15/0.73 ![X0,X1,X2]: (cong(X0,X1,X2,X1))),
% 2.15/0.73 inference(forward_subsumption_resolution,[status(thm)],[f8058,f7813])).
% 2.15/0.73 fof(f8191,plain,(
% 2.15/0.73 ![X0,X1,X2]: (cong(X0,X1,X1,X2))),
% 2.15/0.73 inference(resolution,[status(thm)],[f8071,f149])).
% 2.15/0.73 fof(f8335,plain,(
% 2.15/0.73 ![X0,X1,X2]: (cong(X0,X1,X2,X0))),
% 2.15/0.73 inference(resolution,[status(thm)],[f8191,f151])).
% 2.15/0.73 fof(f8428,plain,(
% 2.15/0.73 ![X0,X1,X2]: (cong(X0,X1,X0,X2))),
% 2.15/0.73 inference(resolution,[status(thm)],[f8335,f149])).
% 2.15/0.73 fof(f8487,plain,(
% 2.15/0.73 $false),
% 2.15/0.73 inference(backward_subsumption_resolution,[status(thm)],[f383,f8428])).
% 2.15/0.73 % SZS output end CNFRefutation for theBenchmark.p
% 2.15/0.74 % Elapsed time: 0.351407 seconds
% 2.15/0.74 % CPU time: 2.483858 seconds
% 2.15/0.74 % Total memory used: 111.171 MB
% 2.15/0.74 % Net memory used: 107.849 MB
%------------------------------------------------------------------------------