%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO593+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 : n010.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 5.35s 1.15s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO593+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 : n010.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 17:49:40 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.40 % Drodi V4.1.1
% 5.35/1.15 % Refutation found
% 5.35/1.15 % SZS status Theorem for theBenchmark: Theorem is valid
% 5.35/1.15 % SZS output start CNFRefutation for theBenchmark
% 5.35/1.15 fof(f1,axiom,(
% 5.35/1.15 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 5.35/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.35/1.15 fof(f2,axiom,(
% 5.35/1.15 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 5.35/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.35/1.15 fof(f3,axiom,(
% 5.35/1.15 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 5.35/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.35/1.15 fof(f4,axiom,(
% 5.35/1.15 (! [A,B,C,D] :( para(A,B,C,D)=> para(A,B,D,C) ) )),
% 5.35/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.35/1.15 fof(f5,axiom,(
% 5.35/1.15 (! [A,B,C,D] :( para(A,B,C,D)=> para(C,D,A,B) ) )),
% 5.35/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.35/1.15 fof(f8,axiom,(
% 5.35/1.15 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 5.35/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.35/1.15 fof(f9,axiom,(
% 5.35/1.15 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 5.35/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.35/1.15 fof(f11,axiom,(
% 5.35/1.15 (! [A,B,M] :( midp(M,B,A)=> midp(M,A,B) ) )),
% 5.35/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.35/1.15 fof(f14,axiom,(
% 5.35/1.15 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,B,D,C) ) )),
% 5.35/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.35/1.15 fof(f15,axiom,(
% 5.35/1.15 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,C,B,D) ) )),
% 5.35/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.35/1.15 fof(f17,axiom,(
% 5.35/1.15 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 5.35/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.35/1.15 fof(f40,axiom,(
% 5.35/1.15 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 5.35/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.35/1.15 fof(f41,axiom,(
% 5.35/1.15 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 5.35/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.35/1.15 fof(f43,axiom,(
% 5.35/1.15 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 5.35/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.35/1.15 fof(f44,axiom,(
% 5.35/1.15 (! [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) ) )),
% 5.35/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.35/1.15 fof(f52,axiom,(
% 5.35/1.15 (! [A,B,C,O,M] :( ( circle(O,A,B,C)& coll(M,B,C)& eqangle(A,B,A,C,O,B,O,M) )=> midp(M,B,C) ) )),
% 5.35/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.35/1.15 fof(f53,axiom,(
% 5.35/1.15 (! [A,B,C,M] :( ( perp(A,B,B,C)& midp(M,A,C) )=> cong(A,M,B,M) ) )),
% 5.35/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.35/1.15 fof(f56,axiom,(
% 5.35/1.15 (! [A,B,M,O] :( ( midp(M,A,B)& perp(O,M,A,B) )=> cong(O,A,O,B) ) )),
% 5.35/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.35/1.15 fof(f57,axiom,(
% 5.35/1.15 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 5.35/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.35/1.15 fof(f58,axiom,(
% 5.35/1.15 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q)& cyclic(A,B,P,Q) )=> perp(P,A,A,Q) ) )),
% 5.35/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.35/1.15 fof(f64,axiom,(
% 5.35/1.15 (! [A,B,C,D,M] :( ( midp(M,A,B)& midp(M,C,D) )=> para(A,C,B,D) ) )),
% 5.35/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.35/1.15 fof(f65,axiom,(
% 5.35/1.15 (! [A,B,C,D,M] :( ( midp(M,A,B)& para(A,C,B,D)& para(A,D,B,C) )=> midp(M,C,D) ) )),
% 5.35/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.35/1.15 fof(f67,axiom,(
% 5.35/1.15 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 5.35/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.35/1.15 fof(f82,axiom,(
% 5.35/1.15 (! [A,B,C,D,M,N] :(? [P] :( ( midp(M,A,B)& midp(N,C,D) )=> ( midp(P,A,D)& para(P,M,B,D)& para(P,N,A,C) ) ) ))),
% 5.35/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.35/1.15 fof(f83,axiom,(
% 5.35/1.15 (! [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) ) ))),
% 5.35/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.35/1.15 fof(f90,axiom,(
% 5.35/1.15 (! [A,B,C,D] :(? [O] :( ( perp(A,C,C,B)& cyclic(A,B,C,D) )=> circle(O,A,B,C) ) ))),
% 5.35/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.35/1.15 fof(f95,conjecture,(
% 5.35/1.15 (! [B,C,A,D,O,M,G,F,E,NWPNT1,NWPNT2,NWPNT3] :( ( perp(A,B,A,C)& perp(D,A,B,C)& coll(D,B,C)& midp(O,C,B)& circle(O,A,NWPNT1,NWPNT2)& perp(M,B,A,O)& coll(M,A,O)& coll(G,B,M)& circle(O,A,G,NWPNT3)& coll(F,C,A)& coll(F,B,M)& coll(E,A,D)& coll(E,B,M) )=> cong(E,A,E,F) ) )),
% 5.35/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.35/1.15 fof(f96,negated_conjecture,(
% 5.35/1.15 ~((! [B,C,A,D,O,M,G,F,E,NWPNT1,NWPNT2,NWPNT3] :( ( perp(A,B,A,C)& perp(D,A,B,C)& coll(D,B,C)& midp(O,C,B)& circle(O,A,NWPNT1,NWPNT2)& perp(M,B,A,O)& coll(M,A,O)& coll(G,B,M)& circle(O,A,G,NWPNT3)& coll(F,C,A)& coll(F,B,M)& coll(E,A,D)& coll(E,B,M) )=> cong(E,A,E,F) ) ))),
% 5.35/1.15 inference(negated_conjecture,[status(cth)],[f95])).
% 5.35/1.15 fof(f97,plain,(
% 5.35/1.15 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 5.35/1.15 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 5.35/1.15 fof(f98,plain,(
% 5.35/1.15 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 5.35/1.15 inference(cnf_transformation,[status(thm)],[f97])).
% 5.35/1.15 fof(f99,plain,(
% 5.35/1.15 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 5.35/1.15 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 5.35/1.15 fof(f100,plain,(
% 5.35/1.15 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 5.35/1.15 inference(cnf_transformation,[status(thm)],[f99])).
% 5.35/1.15 fof(f101,plain,(
% 5.35/1.15 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 5.35/1.15 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 5.35/1.15 fof(f102,plain,(
% 5.35/1.15 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 5.35/1.15 inference(miniscoping,[status(thm)],[f101])).
% 5.35/1.15 fof(f103,plain,(
% 5.35/1.15 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 5.35/1.15 inference(cnf_transformation,[status(thm)],[f102])).
% 5.35/1.15 fof(f104,plain,(
% 5.35/1.15 ![A,B,C,D]: (~para(A,B,C,D)|para(A,B,D,C))),
% 5.35/1.15 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 5.35/1.15 fof(f105,plain,(
% 5.35/1.15 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X0,X1,X3,X2))),
% 5.35/1.15 inference(cnf_transformation,[status(thm)],[f104])).
% 5.35/1.15 fof(f106,plain,(
% 5.35/1.15 ![A,B,C,D]: (~para(A,B,C,D)|para(C,D,A,B))),
% 5.35/1.15 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 5.35/1.15 fof(f107,plain,(
% 5.35/1.15 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X2,X3,X0,X1))),
% 5.35/1.15 inference(cnf_transformation,[status(thm)],[f106])).
% 5.35/1.15 fof(f113,plain,(
% 5.35/1.15 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 5.35/1.15 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 5.35/1.15 fof(f114,plain,(
% 5.35/1.15 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 5.35/1.15 inference(cnf_transformation,[status(thm)],[f113])).
% 5.35/1.15 fof(f115,plain,(
% 5.35/1.15 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 5.35/1.15 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 5.35/1.15 fof(f116,plain,(
% 5.35/1.15 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 5.35/1.15 inference(miniscoping,[status(thm)],[f115])).
% 5.35/1.15 fof(f117,plain,(
% 5.35/1.15 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 5.35/1.15 inference(cnf_transformation,[status(thm)],[f116])).
% 5.35/1.15 fof(f121,plain,(
% 5.35/1.15 ![A,B,M]: (~midp(M,B,A)|midp(M,A,B))),
% 5.35/1.15 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 5.35/1.15 fof(f122,plain,(
% 5.35/1.15 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X0,X2,X1))),
% 5.35/1.15 inference(cnf_transformation,[status(thm)],[f121])).
% 5.35/1.15 fof(f128,plain,(
% 5.35/1.15 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,B,D,C))),
% 5.35/1.15 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 5.35/1.15 fof(f129,plain,(
% 5.35/1.15 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X1,X3,X2))),
% 5.35/1.15 inference(cnf_transformation,[status(thm)],[f128])).
% 5.35/1.15 fof(f130,plain,(
% 5.35/1.15 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,C,B,D))),
% 5.35/1.15 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 5.35/1.15 fof(f131,plain,(
% 5.35/1.15 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X2,X1,X3))),
% 5.35/1.15 inference(cnf_transformation,[status(thm)],[f130])).
% 5.35/1.15 fof(f134,plain,(
% 5.35/1.15 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 5.35/1.15 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 5.35/1.15 fof(f135,plain,(
% 5.35/1.15 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 5.35/1.15 inference(miniscoping,[status(thm)],[f134])).
% 5.35/1.15 fof(f136,plain,(
% 5.35/1.15 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 5.35/1.15 inference(cnf_transformation,[status(thm)],[f135])).
% 5.35/1.15 fof(f187,plain,(
% 5.35/1.15 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 5.35/1.15 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 5.35/1.15 fof(f188,plain,(
% 5.35/1.15 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 5.35/1.15 inference(miniscoping,[status(thm)],[f187])).
% 5.35/1.15 fof(f189,plain,(
% 5.35/1.15 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 5.35/1.15 inference(cnf_transformation,[status(thm)],[f188])).
% 5.35/1.15 fof(f190,plain,(
% 5.35/1.15 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 5.35/1.15 inference(pre_NNF_transformation,[status(thm)],[f41])).
% 5.35/1.15 fof(f191,plain,(
% 5.35/1.15 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 5.35/1.15 inference(cnf_transformation,[status(thm)],[f190])).
% 5.35/1.15 fof(f194,plain,(
% 5.35/1.15 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 5.35/1.15 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 5.35/1.15 fof(f195,plain,(
% 5.35/1.15 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 5.35/1.15 inference(cnf_transformation,[status(thm)],[f194])).
% 5.35/1.15 fof(f196,plain,(
% 5.35/1.15 ![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))),
% 5.35/1.15 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 5.35/1.15 fof(f197,plain,(
% 5.35/1.15 ![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))),
% 5.35/1.15 inference(miniscoping,[status(thm)],[f196])).
% 5.35/1.15 fof(f198,plain,(
% 5.35/1.15 ![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))),
% 5.35/1.15 inference(cnf_transformation,[status(thm)],[f197])).
% 5.35/1.15 fof(f217,plain,(
% 5.35/1.15 ![A,B,C,O,M]: (((~circle(O,A,B,C)|~coll(M,B,C))|~eqangle(A,B,A,C,O,B,O,M))|midp(M,B,C))),
% 5.35/1.15 inference(pre_NNF_transformation,[status(thm)],[f52])).
% 5.35/1.15 fof(f218,plain,(
% 5.35/1.15 ![B,C,M]: ((![A,O]: ((~circle(O,A,B,C)|~coll(M,B,C))|~eqangle(A,B,A,C,O,B,O,M)))|midp(M,B,C))),
% 5.35/1.15 inference(miniscoping,[status(thm)],[f217])).
% 5.35/1.15 fof(f219,plain,(
% 5.35/1.15 ![X0,X1,X2,X3,X4]: (~circle(X0,X1,X2,X3)|~coll(X4,X2,X3)|~eqangle(X1,X2,X1,X3,X0,X2,X0,X4)|midp(X4,X2,X3))),
% 5.35/1.15 inference(cnf_transformation,[status(thm)],[f218])).
% 5.35/1.15 fof(f220,plain,(
% 5.35/1.15 ![A,B,C,M]: ((~perp(A,B,B,C)|~midp(M,A,C))|cong(A,M,B,M))),
% 5.35/1.15 inference(pre_NNF_transformation,[status(thm)],[f53])).
% 5.35/1.15 fof(f221,plain,(
% 5.35/1.15 ![A,B,M]: ((![C]: (~perp(A,B,B,C)|~midp(M,A,C)))|cong(A,M,B,M))),
% 5.35/1.15 inference(miniscoping,[status(thm)],[f220])).
% 5.35/1.15 fof(f222,plain,(
% 5.35/1.15 ![X0,X1,X2,X3]: (~perp(X0,X1,X1,X2)|~midp(X3,X0,X2)|cong(X0,X3,X1,X3))),
% 5.35/1.15 inference(cnf_transformation,[status(thm)],[f221])).
% 5.35/1.15 fof(f228,plain,(
% 5.35/1.15 ![A,B,M,O]: ((~midp(M,A,B)|~perp(O,M,A,B))|cong(O,A,O,B))),
% 5.35/1.15 inference(pre_NNF_transformation,[status(thm)],[f56])).
% 5.35/1.15 fof(f229,plain,(
% 5.35/1.15 ![A,B,O]: ((![M]: (~midp(M,A,B)|~perp(O,M,A,B)))|cong(O,A,O,B))),
% 5.35/1.15 inference(miniscoping,[status(thm)],[f228])).
% 5.35/1.15 fof(f230,plain,(
% 5.35/1.15 ![X0,X1,X2,X3]: (~midp(X0,X1,X2)|~perp(X3,X0,X1,X2)|cong(X3,X1,X3,X2))),
% 5.35/1.15 inference(cnf_transformation,[status(thm)],[f229])).
% 5.35/1.15 fof(f231,plain,(
% 5.35/1.15 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 5.35/1.15 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 5.35/1.15 fof(f232,plain,(
% 5.35/1.15 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 5.35/1.15 inference(cnf_transformation,[status(thm)],[f231])).
% 5.35/1.15 fof(f233,plain,(
% 5.35/1.15 ![A,B,P,Q]: (((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q))|perp(P,A,A,Q))),
% 5.35/1.15 inference(pre_NNF_transformation,[status(thm)],[f58])).
% 5.35/1.15 fof(f234,plain,(
% 5.35/1.15 ![A,P,Q]: ((![B]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q)))|perp(P,A,A,Q))),
% 5.35/1.15 inference(miniscoping,[status(thm)],[f233])).
% 5.35/1.15 fof(f235,plain,(
% 5.35/1.15 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|~cyclic(X0,X2,X1,X3)|perp(X1,X0,X0,X3))),
% 5.35/1.15 inference(cnf_transformation,[status(thm)],[f234])).
% 5.35/1.15 fof(f247,plain,(
% 5.35/1.15 ![A,B,C,D,M]: ((~midp(M,A,B)|~midp(M,C,D))|para(A,C,B,D))),
% 5.35/1.15 inference(pre_NNF_transformation,[status(thm)],[f64])).
% 5.35/1.15 fof(f248,plain,(
% 5.35/1.15 ![A,B,C,D]: ((![M]: (~midp(M,A,B)|~midp(M,C,D)))|para(A,C,B,D))),
% 5.35/1.15 inference(miniscoping,[status(thm)],[f247])).
% 5.35/1.15 fof(f249,plain,(
% 5.35/1.15 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~midp(X0,X3,X4)|para(X1,X3,X2,X4))),
% 5.35/1.15 inference(cnf_transformation,[status(thm)],[f248])).
% 5.35/1.15 fof(f250,plain,(
% 5.35/1.15 ![A,B,C,D,M]: (((~midp(M,A,B)|~para(A,C,B,D))|~para(A,D,B,C))|midp(M,C,D))),
% 5.35/1.15 inference(pre_NNF_transformation,[status(thm)],[f65])).
% 5.35/1.15 fof(f251,plain,(
% 5.35/1.15 ![C,D,M]: ((![A,B]: ((~midp(M,A,B)|~para(A,C,B,D))|~para(A,D,B,C)))|midp(M,C,D))),
% 5.35/1.15 inference(miniscoping,[status(thm)],[f250])).
% 5.35/1.15 fof(f252,plain,(
% 5.35/1.15 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X1,X3,X2,X4)|~para(X1,X4,X2,X3)|midp(X0,X3,X4))),
% 5.35/1.15 inference(cnf_transformation,[status(thm)],[f251])).
% 5.35/1.15 fof(f255,plain,(
% 5.35/1.15 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 5.35/1.15 inference(pre_NNF_transformation,[status(thm)],[f67])).
% 5.35/1.15 fof(f256,plain,(
% 5.35/1.15 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 5.35/1.15 inference(cnf_transformation,[status(thm)],[f255])).
% 5.35/1.15 fof(f303,plain,(
% 5.35/1.15 ![A,B,C,D,M,N]: (?[P]: ((~midp(M,A,B)|~midp(N,C,D))|((midp(P,A,D)¶(P,M,B,D))¶(P,N,A,C))))),
% 5.35/1.15 inference(pre_NNF_transformation,[status(thm)],[f82])).
% 5.35/1.15 fof(f304,plain,(
% 5.35/1.15 ![A,B,C,D,M,N]: ((~midp(M,A,B)|~midp(N,C,D))|(?[P]: ((midp(P,A,D)¶(P,M,B,D))¶(P,N,A,C))))),
% 5.35/1.15 inference(miniscoping,[status(thm)],[f303])).
% 5.35/1.15 fof(f305,plain,(
% 5.35/1.15 ![A,B,C,D,M,N]: ((~midp(M,A,B)|~midp(N,C,D))|((midp(sK5_skl(N,M,D,C,B,A),A,D)¶(sK5_skl(N,M,D,C,B,A),M,B,D))¶(sK5_skl(N,M,D,C,B,A),N,A,C)))),
% 5.35/1.15 inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(P,sK5_skl(N,M,D,C,B,A))],[f304])).
% 5.35/1.15 fof(f306,plain,(
% 5.35/1.15 ![X0,X1,X2,X3,X4,X5]: (~midp(X0,X1,X2)|~midp(X3,X4,X5)|midp(sK5_skl(X3,X0,X5,X4,X2,X1),X1,X5))),
% 5.35/1.15 inference(cnf_transformation,[status(thm)],[f305])).
% 5.35/1.15 fof(f309,plain,(
% 5.35/1.15 ![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)))),
% 5.35/1.15 inference(pre_NNF_transformation,[status(thm)],[f83])).
% 5.35/1.15 fof(f310,plain,(
% 5.35/1.15 ![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)))),
% 5.35/1.15 inference(miniscoping,[status(thm)],[f309])).
% 5.35/1.15 fof(f311,plain,(
% 5.35/1.15 ![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)))),
% 5.35/1.15 inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl]),skolemize(P,sK6_skl(Q,A))],[f310])).
% 5.35/1.15 fof(f312,plain,(
% 5.35/1.15 ![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))),
% 5.35/1.15 inference(cnf_transformation,[status(thm)],[f311])).
% 5.35/1.15 fof(f346,plain,(
% 5.35/1.15 ![A,B,C,D]: (?[O]: ((~perp(A,C,C,B)|~cyclic(A,B,C,D))|circle(O,A,B,C)))),
% 5.35/1.15 inference(pre_NNF_transformation,[status(thm)],[f90])).
% 5.35/1.15 fof(f347,plain,(
% 5.35/1.15 ![A,B,C]: ((~perp(A,C,C,B)|(![D]: ~cyclic(A,B,C,D)))|(?[O]: circle(O,A,B,C)))),
% 5.35/1.15 inference(miniscoping,[status(thm)],[f346])).
% 5.35/1.15 fof(f348,plain,(
% 5.35/1.15 ![A,B,C]: ((~perp(A,C,C,B)|(![D]: ~cyclic(A,B,C,D)))|circle(sK15_skl(C,B,A),A,B,C))),
% 5.35/1.15 inference(skolemize,[status(esa),new_symbols(skolem,[sK15_skl]),skolemize(O,sK15_skl(C,B,A))],[f347])).
% 5.35/1.15 fof(f349,plain,(
% 5.35/1.15 ![X0,X1,X2,X3]: (~perp(X0,X1,X1,X2)|~cyclic(X0,X2,X1,X3)|circle(sK15_skl(X1,X2,X0),X0,X2,X1))),
% 5.35/1.15 inference(cnf_transformation,[status(thm)],[f348])).
% 5.35/1.15 fof(f369,plain,(
% 5.35/1.15 (?[B,C,A,D,O,M,G,F,E,NWPNT1,NWPNT2,NWPNT3]: (((((((((((((perp(A,B,A,C)&perp(D,A,B,C))&coll(D,B,C))&midp(O,C,B))&circle(O,A,NWPNT1,NWPNT2))&perp(M,B,A,O))&coll(M,A,O))&coll(G,B,M))&circle(O,A,G,NWPNT3))&coll(F,C,A))&coll(F,B,M))&coll(E,A,D))&coll(E,B,M))&~cong(E,A,E,F)))),
% 5.35/1.15 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 5.35/1.15 fof(f370,plain,(
% 5.35/1.15 ?[A,F,E]: ((?[B,M]: ((?[D]: (((?[C]: ((?[O,G]: ((((((((perp(A,B,A,C)&perp(D,A,B,C))&coll(D,B,C))&midp(O,C,B))&(?[NWPNT1,NWPNT2]: circle(O,A,NWPNT1,NWPNT2)))&perp(M,B,A,O))&coll(M,A,O))&coll(G,B,M))&(?[NWPNT3]: circle(O,A,G,NWPNT3))))&coll(F,C,A)))&coll(F,B,M))&coll(E,A,D)))&coll(E,B,M)))&~cong(E,A,E,F))),
% 5.35/1.15 inference(miniscoping,[status(thm)],[f369])).
% 5.35/1.15 fof(f371,plain,(
% 5.35/1.15 (((((((((((((perp(sK20_skl,sK23_skl,sK20_skl,sK26_skl)&perp(sK25_skl,sK20_skl,sK23_skl,sK26_skl))&coll(sK25_skl,sK23_skl,sK26_skl))&midp(sK27_skl,sK26_skl,sK23_skl))&circle(sK27_skl,sK20_skl,sK29_skl,sK30_skl))&perp(sK24_skl,sK23_skl,sK20_skl,sK27_skl))&coll(sK24_skl,sK20_skl,sK27_skl))&coll(sK28_skl,sK23_skl,sK24_skl))&circle(sK27_skl,sK20_skl,sK28_skl,sK31_skl))&coll(sK21_skl,sK26_skl,sK20_skl))&coll(sK21_skl,sK23_skl,sK24_skl))&coll(sK22_skl,sK20_skl,sK25_skl))&coll(sK22_skl,sK23_skl,sK24_skl))&~cong(sK22_skl,sK20_skl,sK22_skl,sK21_skl))),
% 5.35/1.15 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(A,sK20_skl),skolemize(F,sK21_skl),skolemize(E,sK22_skl),skolemize(B,sK23_skl),skolemize(M,sK24_skl),skolemize(D,sK25_skl),skolemize(C,sK26_skl),skolemize(O,sK27_skl),skolemize(G,sK28_skl),skolemize(NWPNT1,sK29_skl),skolemize(NWPNT2,sK30_skl),skolemize(NWPNT3,sK31_skl)],[f370])).
% 5.35/1.15 fof(f373,plain,(
% 5.35/1.15 perp(sK25_skl,sK20_skl,sK23_skl,sK26_skl)),
% 5.35/1.15 inference(cnf_transformation,[status(thm)],[f371])).
% 5.35/1.15 fof(f374,plain,(
% 5.35/1.15 coll(sK25_skl,sK23_skl,sK26_skl)),
% 5.35/1.15 inference(cnf_transformation,[status(thm)],[f371])).
% 5.35/1.15 fof(f375,plain,(
% 5.35/1.15 midp(sK27_skl,sK26_skl,sK23_skl)),
% 5.35/1.15 inference(cnf_transformation,[status(thm)],[f371])).
% 5.35/1.15 fof(f385,plain,(
% 5.35/1.15 ~cong(sK22_skl,sK20_skl,sK22_skl,sK21_skl)),
% 5.35/1.15 inference(cnf_transformation,[status(thm)],[f371])).
% 5.35/1.15 fof(f389,plain,(
% 5.35/1.15 coll(sK23_skl,sK25_skl,sK26_skl)),
% 5.35/1.15 inference(resolution,[status(thm)],[f100,f374])).
% 5.35/1.15 fof(f403,plain,(
% 5.35/1.15 perp(sK23_skl,sK26_skl,sK25_skl,sK20_skl)),
% 5.35/1.15 inference(resolution,[status(thm)],[f114,f373])).
% 5.35/1.15 fof(f405,plain,(
% 5.35/1.15 ![X0,X1]: (~perp(sK23_skl,sK26_skl,X0,X1)|para(sK25_skl,sK20_skl,X0,X1))),
% 5.35/1.15 inference(resolution,[status(thm)],[f117,f373])).
% 5.35/1.15 fof(f419,plain,(
% 5.35/1.15 midp(sK27_skl,sK23_skl,sK26_skl)),
% 5.35/1.15 inference(resolution,[status(thm)],[f122,f375])).
% 5.35/1.15 fof(f426,plain,(
% 5.35/1.15 ![X0]: (~coll(sK23_skl,sK25_skl,X0)|coll(sK26_skl,X0,sK23_skl))),
% 5.35/1.15 inference(resolution,[status(thm)],[f389,f103])).
% 5.35/1.15 fof(f589,plain,(
% 5.35/1.15 para(sK25_skl,sK20_skl,sK25_skl,sK20_skl)),
% 5.35/1.15 inference(resolution,[status(thm)],[f405,f403])).
% 5.35/1.15 fof(f690,plain,(
% 5.35/1.15 coll(sK26_skl,sK26_skl,sK23_skl)),
% 5.35/1.15 inference(resolution,[status(thm)],[f426,f389])).
% 5.35/1.15 fof(f816,plain,(
% 5.35/1.15 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(sK5_skl(X0,sK27_skl,X2,X1,sK23_skl,sK26_skl),sK26_skl,X2))),
% 5.35/1.15 inference(resolution,[status(thm)],[f306,f375])).
% 5.35/1.15 fof(f822,plain,(
% 5.35/1.15 ![X0,X1,X2,X3]: (~midp(X0,X1,X2)|~coll(X1,sK26_skl,sK23_skl)|~coll(X2,sK26_skl,sK23_skl)|midp(sK6_skl(X3,sK26_skl),sK26_skl,X3))),
% 5.35/1.15 inference(resolution,[status(thm)],[f312,f375])).
% 5.35/1.15 fof(f830,definition,(
% 5.35/1.15 ![X0,X1,X2]: (sQ44_spl <=> (~midp(X0,X1,X2)|~coll(X1,sK26_skl,sK23_skl)|~coll(X2,sK26_skl,sK23_skl)))),
% 5.35/1.15 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 5.35/1.15 fof(f831,plain,(
% 5.35/1.15 ![X0,X1,X2]: (~midp(X0,X1,X2)|~coll(X1,sK26_skl,sK23_skl)|~coll(X2,sK26_skl,sK23_skl)|~sQ44_spl)),
% 5.35/1.15 inference(component_clause,[status(thm)],[f830])).
% 5.35/1.15 fof(f833,definition,(
% 5.35/1.15 ![X3]: (sQ45_spl <=> (midp(sK6_skl(X3,sK26_skl),sK26_skl,X3)))),
% 5.35/1.15 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 5.35/1.15 fof(f834,plain,(
% 5.35/1.15 ![X0]: (midp(sK6_skl(X0,sK26_skl),sK26_skl,X0)|~sQ45_spl)),
% 5.35/1.15 inference(component_clause,[status(thm)],[f833])).
% 5.35/1.15 fof(f836,plain,(
% 5.35/1.15 sQ44_spl|sQ45_spl),
% 5.35/1.15 inference(split_clause,[status(thm)],[f822,f830,f833])).
% 5.35/1.15 fof(f843,plain,(
% 5.35/1.15 midp(sK5_skl(sK27_skl,sK27_skl,sK26_skl,sK23_skl,sK23_skl,sK26_skl),sK26_skl,sK26_skl)),
% 5.35/1.15 inference(resolution,[status(thm)],[f816,f419])).
% 5.35/1.15 fof(f857,definition,(
% 5.35/1.15 sQ47_spl <=> (coll(sK26_skl,sK26_skl,sK23_skl))),
% 5.35/1.15 introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition])).
% 5.35/1.15 fof(f859,plain,(
% 5.35/1.15 ~coll(sK26_skl,sK26_skl,sK23_skl)|sQ47_spl),
% 5.35/1.15 inference(component_clause,[status(thm)],[f857])).
% 5.35/1.15 fof(f1056,plain,(
% 5.35/1.15 ![X0,X1,X2]: (~midp(sK6_skl(X0,sK26_skl),X1,X2)|para(sK26_skl,X1,X0,X2)|~sQ45_spl)),
% 5.35/1.15 inference(resolution,[status(thm)],[f834,f249])).
% 5.35/1.15 fof(f1061,plain,(
% 5.35/1.15 ![X0]: (midp(sK6_skl(X0,sK26_skl),X0,sK26_skl)|~sQ45_spl)),
% 5.35/1.15 inference(resolution,[status(thm)],[f834,f122])).
% 5.35/1.15 fof(f1480,plain,(
% 5.35/1.15 $false|sQ47_spl),
% 5.35/1.15 inference(forward_subsumption_resolution,[status(thm)],[f859,f690])).
% 5.35/1.15 fof(f1481,plain,(
% 5.35/1.15 sQ47_spl),
% 5.35/1.15 inference(contradiction_clause,[status(thm)],[f1480])).
% 5.35/1.15 fof(f1735,plain,(
% 5.35/1.15 ![X0,X1]: (eqangle(sK25_skl,sK20_skl,X0,X1,sK25_skl,sK20_skl,X0,X1))),
% 5.35/1.15 inference(resolution,[status(thm)],[f589,f189])).
% 5.35/1.15 fof(f2046,plain,(
% 5.35/1.15 ~coll(sK26_skl,sK26_skl,sK23_skl)|~coll(sK26_skl,sK26_skl,sK23_skl)|~sQ44_spl),
% 5.35/1.15 inference(resolution,[status(thm)],[f843,f831])).
% 5.35/1.15 fof(f2069,plain,(
% 5.35/1.15 ~sQ47_spl|~sQ44_spl),
% 5.35/1.15 inference(split_clause,[status(thm)],[f2046,f857,f830])).
% 5.35/1.15 fof(f3725,plain,(
% 5.35/1.15 ![X0]: (para(sK26_skl,X0,X0,sK26_skl)|~sQ45_spl)),
% 5.35/1.15 inference(resolution,[status(thm)],[f1061,f1056])).
% 5.35/1.15 fof(f3764,plain,(
% 5.35/1.15 ![X0]: (para(X0,sK26_skl,sK26_skl,X0)|~sQ45_spl)),
% 5.35/1.15 inference(resolution,[status(thm)],[f3725,f107])).
% 5.35/1.15 fof(f3782,plain,(
% 5.35/1.15 ![X0]: (para(X0,sK26_skl,X0,sK26_skl)|~sQ45_spl)),
% 5.35/1.15 inference(resolution,[status(thm)],[f3764,f105])).
% 5.35/1.15 fof(f3846,plain,(
% 5.35/1.15 ![X0]: (coll(X0,sK26_skl,sK26_skl)|~sQ45_spl)),
% 5.35/1.15 inference(resolution,[status(thm)],[f3782,f256])).
% 5.35/1.15 fof(f3862,plain,(
% 5.35/1.15 ![X0]: (coll(sK26_skl,X0,sK26_skl)|~sQ45_spl)),
% 5.35/1.15 inference(resolution,[status(thm)],[f3846,f100])).
% 5.35/1.15 fof(f3867,plain,(
% 5.35/1.15 ![X0]: (coll(sK26_skl,sK26_skl,X0)|~sQ45_spl)),
% 5.35/1.15 inference(resolution,[status(thm)],[f3862,f98])).
% 5.35/1.15 fof(f3936,plain,(
% 5.35/1.15 ![X0,X1]: (~coll(sK26_skl,sK26_skl,X0)|coll(X1,X0,sK26_skl)|~sQ45_spl)),
% 5.35/1.15 inference(resolution,[status(thm)],[f3867,f103])).
% 5.35/1.15 fof(f3939,plain,(
% 5.35/1.15 ![X0,X1]: (coll(X0,X1,sK26_skl)|~sQ45_spl)),
% 5.35/1.15 inference(forward_subsumption_resolution,[status(thm)],[f3936,f3867])).
% 5.35/1.15 fof(f3967,plain,(
% 5.35/1.15 ![X0,X1]: (coll(X0,sK26_skl,X1)|~sQ45_spl)),
% 5.35/1.15 inference(resolution,[status(thm)],[f3939,f98])).
% 5.35/1.15 fof(f3977,plain,(
% 5.35/1.15 ![X0,X1,X2]: (~coll(X0,sK26_skl,X1)|coll(X2,X1,X0)|~sQ45_spl)),
% 5.35/1.15 inference(resolution,[status(thm)],[f3967,f103])).
% 5.35/1.15 fof(f3980,plain,(
% 5.35/1.15 ![X0,X1,X2]: (coll(X0,X1,X2)|~sQ45_spl)),
% 5.35/1.15 inference(forward_subsumption_resolution,[status(thm)],[f3977,f3967])).
% 5.35/1.15 fof(f4004,plain,(
% 5.35/1.15 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|cyclic(X1,X2,X0,X3)|~sQ45_spl)),
% 5.35/1.15 inference(backward_subsumption_resolution,[status(thm)],[f195,f3980])).
% 5.35/1.15 fof(f4007,plain,(
% 5.35/1.15 ![X0,X1,X2,X3,X4]: (~circle(X0,X1,X2,X3)|~eqangle(X1,X2,X1,X3,X0,X2,X0,X4)|midp(X4,X2,X3)|~sQ45_spl)),
% 5.35/1.15 inference(backward_subsumption_resolution,[status(thm)],[f219,f3980])).
% 5.35/1.15 fof(f5403,plain,(
% 5.35/1.15 ![X0]: (cyclic(sK20_skl,X0,sK25_skl,sK25_skl)|~sQ45_spl)),
% 5.35/1.15 inference(resolution,[status(thm)],[f1735,f4004])).
% 5.35/1.15 fof(f5426,plain,(
% 5.35/1.15 ![X0]: (cyclic(sK20_skl,sK25_skl,X0,sK25_skl)|~sQ45_spl)),
% 5.35/1.15 inference(resolution,[status(thm)],[f5403,f131])).
% 5.35/1.15 fof(f5462,plain,(
% 5.35/1.15 ![X0]: (cyclic(sK20_skl,sK25_skl,sK25_skl,X0)|~sQ45_spl)),
% 5.35/1.15 inference(resolution,[status(thm)],[f5426,f129])).
% 5.35/1.15 fof(f5650,plain,(
% 5.35/1.15 ![X0,X1]: (~cyclic(sK20_skl,sK25_skl,sK25_skl,X0)|cyclic(sK25_skl,sK25_skl,X1,X0)|~sQ45_spl)),
% 5.35/1.15 inference(resolution,[status(thm)],[f5462,f136])).
% 5.35/1.15 fof(f5661,plain,(
% 5.35/1.15 ![X0,X1]: (cyclic(sK25_skl,sK25_skl,X0,X1)|~sQ45_spl)),
% 5.35/1.15 inference(forward_subsumption_resolution,[status(thm)],[f5650,f5462])).
% 5.35/1.15 fof(f5665,plain,(
% 5.35/1.15 ![X0,X1,X2]: (~cyclic(sK25_skl,sK25_skl,X0,X1)|cyclic(sK25_skl,X0,X2,X1)|~sQ45_spl)),
% 5.35/1.15 inference(resolution,[status(thm)],[f5661,f136])).
% 5.35/1.15 fof(f5676,plain,(
% 5.35/1.15 ![X0,X1,X2]: (cyclic(sK25_skl,X0,X1,X2)|~sQ45_spl)),
% 5.35/1.15 inference(forward_subsumption_resolution,[status(thm)],[f5665,f5661])).
% 5.35/1.15 fof(f5728,plain,(
% 5.35/1.15 ![X0,X1,X2,X3]: (~cyclic(sK25_skl,X0,X1,X2)|cyclic(X0,X1,X3,X2)|~sQ45_spl)),
% 5.35/1.15 inference(resolution,[status(thm)],[f5676,f136])).
% 5.35/1.15 fof(f5732,plain,(
% 5.35/1.15 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3)|~sQ45_spl)),
% 5.35/1.15 inference(forward_subsumption_resolution,[status(thm)],[f5728,f5676])).
% 5.35/1.15 fof(f5733,plain,(
% 5.35/1.15 ![X0,X1,X2]: (~perp(X0,X1,X1,X2)|circle(sK15_skl(X1,X2,X0),X0,X2,X1)|~sQ45_spl)),
% 5.35/1.15 inference(backward_subsumption_resolution,[status(thm)],[f349,f5732])).
% 5.35/1.15 fof(f5734,plain,(
% 5.35/1.15 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X1,X0,X0,X3)|~sQ45_spl)),
% 5.35/1.15 inference(backward_subsumption_resolution,[status(thm)],[f235,f5732])).
% 5.35/1.15 fof(f5735,plain,(
% 5.35/1.15 ![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)|~sQ45_spl)),
% 5.35/1.15 inference(backward_subsumption_resolution,[status(thm)],[f198,f5732])).
% 5.35/1.15 fof(f5743,plain,(
% 5.35/1.15 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~sQ45_spl)),
% 5.35/1.15 inference(backward_subsumption_resolution,[status(thm)],[f191,f5732])).
% 5.35/1.17 fof(f5744,plain,(
% 5.35/1.17 ![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)|~sQ45_spl)),
% 5.35/1.17 inference(forward_subsumption_resolution,[status(thm)],[f5735,f5732])).
% 5.35/1.17 fof(f5765,plain,(
% 5.35/1.17 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X0,X2,X3,X4,X3,X5)|cong(X1,X2,X4,X5)|~sQ45_spl)),
% 5.35/1.17 inference(forward_subsumption_resolution,[status(thm)],[f5744,f5732])).
% 5.35/1.17 fof(f5901,plain,(
% 5.35/1.17 ![X0,X1]: (cong(X0,X1,X0,X1)|~sQ45_spl)),
% 5.35/1.17 inference(resolution,[status(thm)],[f5743,f5765])).
% 5.35/1.17 fof(f5902,plain,(
% 5.35/1.17 ![X0,X1,X2,X3]: (~circle(X0,X1,X2,X3)|midp(X3,X2,X3)|~sQ45_spl)),
% 5.35/1.17 inference(resolution,[status(thm)],[f5743,f4007])).
% 5.35/1.17 fof(f5920,plain,(
% 5.35/1.17 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X2,X0,X0,X1)|~sQ45_spl)),
% 5.35/1.17 inference(resolution,[status(thm)],[f5901,f5734])).
% 5.35/1.17 fof(f5932,plain,(
% 5.35/1.17 ![X0,X1,X2]: (perp(X0,X1,X1,X2)|~sQ45_spl)),
% 5.35/1.17 inference(forward_subsumption_resolution,[status(thm)],[f5920,f5901])).
% 5.35/1.17 fof(f6031,plain,(
% 5.35/1.17 ![X0,X1,X2]: (circle(sK15_skl(X0,X1,X2),X2,X1,X0)|~sQ45_spl)),
% 5.35/1.17 inference(backward_subsumption_resolution,[status(thm)],[f5733,f5932])).
% 5.35/1.17 fof(f6032,plain,(
% 5.35/1.17 ![X0,X1,X2,X3]: (~midp(X0,X1,X2)|cong(X1,X0,X3,X0)|~sQ45_spl)),
% 5.35/1.17 inference(backward_subsumption_resolution,[status(thm)],[f222,f5932])).
% 5.35/1.17 fof(f6139,plain,(
% 5.35/1.17 ![X0,X1]: (midp(X0,X1,X0)|~sQ45_spl)),
% 5.35/1.17 inference(resolution,[status(thm)],[f6031,f5902])).
% 5.35/1.17 fof(f6168,plain,(
% 5.35/1.17 ![X0,X1]: (midp(X0,X0,X1)|~sQ45_spl)),
% 5.35/1.17 inference(resolution,[status(thm)],[f6139,f122])).
% 5.35/1.17 fof(f6188,plain,(
% 5.35/1.17 ![X0,X1,X2]: (cong(X0,X1,X2,X1)|~sQ45_spl)),
% 5.35/1.17 inference(resolution,[status(thm)],[f6032,f6139])).
% 5.35/1.17 fof(f6619,plain,(
% 5.35/1.17 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|perp(X0,X2,X1,X3)|~sQ45_spl)),
% 5.35/1.17 inference(backward_subsumption_resolution,[status(thm)],[f232,f6188])).
% 5.35/1.17 fof(f6640,plain,(
% 5.35/1.17 ![X0,X1,X2,X3]: (perp(X0,X1,X2,X3)|~sQ45_spl)),
% 5.35/1.17 inference(forward_subsumption_resolution,[status(thm)],[f6619,f6188])).
% 5.35/1.17 fof(f6641,plain,(
% 5.35/1.17 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|para(X0,X1,X4,X5)|~sQ45_spl)),
% 5.35/1.17 inference(backward_subsumption_resolution,[status(thm)],[f117,f6640])).
% 5.35/1.17 fof(f6681,plain,(
% 5.35/1.17 ![X0,X1,X2,X3]: (~midp(X0,X1,X2)|cong(X3,X1,X3,X2)|~sQ45_spl)),
% 5.35/1.17 inference(backward_subsumption_resolution,[status(thm)],[f230,f6640])).
% 5.35/1.17 fof(f6682,plain,(
% 5.35/1.17 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3)|~sQ45_spl)),
% 5.35/1.17 inference(forward_subsumption_resolution,[status(thm)],[f6641,f6640])).
% 5.35/1.17 fof(f6725,plain,(
% 5.35/1.17 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X1,X3,X2,X4)|midp(X0,X3,X4)|~sQ45_spl)),
% 5.35/1.17 inference(backward_subsumption_resolution,[status(thm)],[f252,f6682])).
% 5.35/1.17 fof(f6738,plain,(
% 5.35/1.17 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|midp(X0,X3,X4)|~sQ45_spl)),
% 5.35/1.17 inference(forward_subsumption_resolution,[status(thm)],[f6725,f6682])).
% 5.35/1.17 fof(f6763,plain,(
% 5.35/1.17 ![X0,X1,X2]: (midp(X0,X1,X2)|~sQ45_spl)),
% 5.35/1.17 inference(resolution,[status(thm)],[f6738,f6168])).
% 5.35/1.17 fof(f6809,plain,(
% 5.35/1.17 ![X0,X1,X2]: (cong(X0,X1,X0,X2)|~sQ45_spl)),
% 5.35/1.17 inference(backward_subsumption_resolution,[status(thm)],[f6681,f6763])).
% 5.35/1.17 fof(f6892,plain,(
% 5.35/1.17 $false|~sQ45_spl),
% 5.35/1.17 inference(backward_subsumption_resolution,[status(thm)],[f385,f6809])).
% 5.35/1.17 fof(f6908,plain,(
% 5.35/1.17 ~sQ45_spl),
% 5.35/1.17 inference(contradiction_clause,[status(thm)],[f6892])).
% 5.35/1.17 fof(f6909,plain,(
% 5.35/1.17 $false),
% 5.35/1.17 inference(sat_refutation,[status(thm)],[f836,f1481,f2069,f6908])).
% 5.35/1.17 % SZS output end CNFRefutation for theBenchmark.p
% 5.35/1.19 % Elapsed time: 0.785137 seconds
% 5.35/1.19 % CPU time: 5.904559 seconds
% 5.35/1.19 % Total memory used: 133.462 MB
% 5.35/1.19 % Net memory used: 126.786 MB
%------------------------------------------------------------------------------