%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO633+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 : n003.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 4.74s 1.02s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO633+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n003.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 18:10:15 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 4.74/1.02 % Refutation found
% 4.74/1.02 % SZS status Theorem for theBenchmark: Theorem is valid
% 4.74/1.02 % SZS output start CNFRefutation for theBenchmark
% 4.74/1.02 fof(f1,axiom,(
% 4.74/1.02 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 4.74/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.74/1.02 fof(f2,axiom,(
% 4.74/1.02 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 4.74/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.74/1.02 fof(f3,axiom,(
% 4.74/1.02 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 4.74/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.74/1.02 fof(f4,axiom,(
% 4.74/1.02 (! [A,B,C,D] :( para(A,B,C,D)=> para(A,B,D,C) ) )),
% 4.74/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.74/1.02 fof(f5,axiom,(
% 4.74/1.02 (! [A,B,C,D] :( para(A,B,C,D)=> para(C,D,A,B) ) )),
% 4.74/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.74/1.02 fof(f8,axiom,(
% 4.74/1.02 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 4.74/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.74/1.02 fof(f9,axiom,(
% 4.74/1.02 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 4.74/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.74/1.02 fof(f11,axiom,(
% 4.74/1.02 (! [A,B,M] :( midp(M,B,A)=> midp(M,A,B) ) )),
% 4.74/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.74/1.02 fof(f14,axiom,(
% 4.74/1.02 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,B,D,C) ) )),
% 4.74/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.74/1.02 fof(f15,axiom,(
% 4.74/1.02 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,C,B,D) ) )),
% 4.74/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.74/1.02 fof(f17,axiom,(
% 4.74/1.02 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 4.74/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.74/1.02 fof(f40,axiom,(
% 4.74/1.02 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 4.74/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.74/1.02 fof(f41,axiom,(
% 4.74/1.02 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 4.74/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.74/1.02 fof(f43,axiom,(
% 4.74/1.02 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 4.74/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.74/1.02 fof(f44,axiom,(
% 4.74/1.02 (! [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) ) )),
% 4.74/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.74/1.02 fof(f52,axiom,(
% 4.74/1.02 (! [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) ) )),
% 4.74/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.74/1.02 fof(f53,axiom,(
% 4.74/1.02 (! [A,B,C,M] :( ( perp(A,B,B,C)& midp(M,A,C) )=> cong(A,M,B,M) ) )),
% 4.74/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.74/1.02 fof(f57,axiom,(
% 4.74/1.02 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 4.74/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.74/1.02 fof(f58,axiom,(
% 4.74/1.02 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q)& cyclic(A,B,P,Q) )=> perp(P,A,A,Q) ) )),
% 4.74/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.74/1.02 fof(f64,axiom,(
% 4.74/1.02 (! [A,B,C,D,M] :( ( midp(M,A,B)& midp(M,C,D) )=> para(A,C,B,D) ) )),
% 4.74/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.74/1.02 fof(f67,axiom,(
% 4.74/1.02 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 4.74/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.74/1.02 fof(f83,axiom,(
% 4.74/1.02 (! [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) ) ))),
% 4.74/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.74/1.02 fof(f90,axiom,(
% 4.74/1.02 (! [A,B,C,D] :(? [O] :( ( perp(A,C,C,B)& cyclic(A,B,C,D) )=> circle(O,A,B,C) ) ))),
% 4.74/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.74/1.02 fof(f95,conjecture,(
% 4.74/1.02 (! [A,B,C,A1,S,N,G,H] :( ( midp(A1,C,B)& eqangle(S,A,A,B,C,A,A,A1)& coll(S,B,C)& coll(N,A,A1)& perp(G,N,A,B)& coll(G,A,B)& perp(H,N,A,C)& coll(H,A,C) )=> perp(G,H,A,S) ) )),
% 4.74/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.74/1.02 fof(f96,negated_conjecture,(
% 4.74/1.02 ~((! [A,B,C,A1,S,N,G,H] :( ( midp(A1,C,B)& eqangle(S,A,A,B,C,A,A,A1)& coll(S,B,C)& coll(N,A,A1)& perp(G,N,A,B)& coll(G,A,B)& perp(H,N,A,C)& coll(H,A,C) )=> perp(G,H,A,S) ) ))),
% 4.74/1.02 inference(negated_conjecture,[status(cth)],[f95])).
% 4.74/1.02 fof(f97,plain,(
% 4.74/1.02 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 4.74/1.02 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 4.74/1.02 fof(f98,plain,(
% 4.74/1.02 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 4.74/1.02 inference(cnf_transformation,[status(thm)],[f97])).
% 4.74/1.02 fof(f99,plain,(
% 4.74/1.02 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 4.74/1.02 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 4.74/1.02 fof(f100,plain,(
% 4.74/1.02 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 4.74/1.02 inference(cnf_transformation,[status(thm)],[f99])).
% 4.74/1.02 fof(f101,plain,(
% 4.74/1.02 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 4.74/1.02 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 4.74/1.02 fof(f102,plain,(
% 4.74/1.02 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 4.74/1.02 inference(miniscoping,[status(thm)],[f101])).
% 4.74/1.02 fof(f103,plain,(
% 4.74/1.02 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 4.74/1.02 inference(cnf_transformation,[status(thm)],[f102])).
% 4.74/1.02 fof(f104,plain,(
% 4.74/1.02 ![A,B,C,D]: (~para(A,B,C,D)|para(A,B,D,C))),
% 4.74/1.02 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 4.74/1.02 fof(f105,plain,(
% 4.74/1.02 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X0,X1,X3,X2))),
% 4.74/1.02 inference(cnf_transformation,[status(thm)],[f104])).
% 4.74/1.02 fof(f106,plain,(
% 4.74/1.02 ![A,B,C,D]: (~para(A,B,C,D)|para(C,D,A,B))),
% 4.74/1.02 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 4.74/1.02 fof(f107,plain,(
% 4.74/1.02 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X2,X3,X0,X1))),
% 4.74/1.02 inference(cnf_transformation,[status(thm)],[f106])).
% 4.74/1.02 fof(f113,plain,(
% 4.74/1.02 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 4.74/1.02 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 4.74/1.02 fof(f114,plain,(
% 4.74/1.02 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 4.74/1.02 inference(cnf_transformation,[status(thm)],[f113])).
% 4.74/1.02 fof(f115,plain,(
% 4.74/1.02 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 4.74/1.02 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 4.74/1.02 fof(f116,plain,(
% 4.74/1.02 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 4.74/1.02 inference(miniscoping,[status(thm)],[f115])).
% 4.74/1.02 fof(f117,plain,(
% 4.74/1.02 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 4.74/1.02 inference(cnf_transformation,[status(thm)],[f116])).
% 4.74/1.02 fof(f121,plain,(
% 4.74/1.02 ![A,B,M]: (~midp(M,B,A)|midp(M,A,B))),
% 4.74/1.02 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 4.74/1.02 fof(f122,plain,(
% 4.74/1.02 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X0,X2,X1))),
% 4.74/1.02 inference(cnf_transformation,[status(thm)],[f121])).
% 4.74/1.02 fof(f128,plain,(
% 4.74/1.02 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,B,D,C))),
% 4.74/1.02 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 4.74/1.02 fof(f129,plain,(
% 4.74/1.02 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X1,X3,X2))),
% 4.74/1.02 inference(cnf_transformation,[status(thm)],[f128])).
% 4.74/1.02 fof(f130,plain,(
% 4.74/1.02 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,C,B,D))),
% 4.74/1.02 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 4.74/1.02 fof(f131,plain,(
% 4.74/1.02 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X2,X1,X3))),
% 4.74/1.02 inference(cnf_transformation,[status(thm)],[f130])).
% 4.74/1.02 fof(f134,plain,(
% 4.74/1.02 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 4.74/1.02 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 4.74/1.02 fof(f135,plain,(
% 4.74/1.02 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 4.74/1.02 inference(miniscoping,[status(thm)],[f134])).
% 4.74/1.02 fof(f136,plain,(
% 4.74/1.02 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 4.74/1.02 inference(cnf_transformation,[status(thm)],[f135])).
% 4.74/1.02 fof(f187,plain,(
% 4.74/1.02 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 4.74/1.02 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 4.74/1.02 fof(f188,plain,(
% 4.74/1.02 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 4.74/1.02 inference(miniscoping,[status(thm)],[f187])).
% 4.74/1.02 fof(f189,plain,(
% 4.74/1.02 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 4.74/1.02 inference(cnf_transformation,[status(thm)],[f188])).
% 4.74/1.02 fof(f190,plain,(
% 4.74/1.02 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 4.74/1.02 inference(pre_NNF_transformation,[status(thm)],[f41])).
% 4.74/1.02 fof(f191,plain,(
% 4.74/1.02 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 4.74/1.02 inference(cnf_transformation,[status(thm)],[f190])).
% 4.74/1.02 fof(f194,plain,(
% 4.74/1.02 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 4.74/1.02 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 4.74/1.02 fof(f195,plain,(
% 4.74/1.02 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 4.74/1.02 inference(cnf_transformation,[status(thm)],[f194])).
% 4.74/1.02 fof(f196,plain,(
% 4.74/1.02 ![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))),
% 4.74/1.02 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 4.74/1.02 fof(f197,plain,(
% 4.74/1.02 ![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))),
% 4.74/1.02 inference(miniscoping,[status(thm)],[f196])).
% 4.74/1.02 fof(f198,plain,(
% 4.74/1.02 ![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))),
% 4.74/1.02 inference(cnf_transformation,[status(thm)],[f197])).
% 4.74/1.02 fof(f217,plain,(
% 4.74/1.02 ![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))),
% 4.74/1.02 inference(pre_NNF_transformation,[status(thm)],[f52])).
% 4.74/1.02 fof(f218,plain,(
% 4.74/1.02 ![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))),
% 4.74/1.02 inference(miniscoping,[status(thm)],[f217])).
% 4.74/1.02 fof(f219,plain,(
% 4.74/1.02 ![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))),
% 4.74/1.02 inference(cnf_transformation,[status(thm)],[f218])).
% 4.74/1.02 fof(f220,plain,(
% 4.74/1.02 ![A,B,C,M]: ((~perp(A,B,B,C)|~midp(M,A,C))|cong(A,M,B,M))),
% 4.74/1.02 inference(pre_NNF_transformation,[status(thm)],[f53])).
% 4.74/1.02 fof(f221,plain,(
% 4.74/1.02 ![A,B,M]: ((![C]: (~perp(A,B,B,C)|~midp(M,A,C)))|cong(A,M,B,M))),
% 4.74/1.02 inference(miniscoping,[status(thm)],[f220])).
% 4.74/1.02 fof(f222,plain,(
% 4.74/1.02 ![X0,X1,X2,X3]: (~perp(X0,X1,X1,X2)|~midp(X3,X0,X2)|cong(X0,X3,X1,X3))),
% 4.74/1.02 inference(cnf_transformation,[status(thm)],[f221])).
% 4.74/1.02 fof(f231,plain,(
% 4.74/1.02 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 4.74/1.02 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 4.74/1.02 fof(f232,plain,(
% 4.74/1.02 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 4.74/1.02 inference(cnf_transformation,[status(thm)],[f231])).
% 4.74/1.02 fof(f233,plain,(
% 4.74/1.02 ![A,B,P,Q]: (((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q))|perp(P,A,A,Q))),
% 4.74/1.02 inference(pre_NNF_transformation,[status(thm)],[f58])).
% 4.74/1.02 fof(f234,plain,(
% 4.74/1.02 ![A,P,Q]: ((![B]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q)))|perp(P,A,A,Q))),
% 4.74/1.02 inference(miniscoping,[status(thm)],[f233])).
% 4.74/1.02 fof(f235,plain,(
% 4.74/1.02 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|~cyclic(X0,X2,X1,X3)|perp(X1,X0,X0,X3))),
% 4.74/1.02 inference(cnf_transformation,[status(thm)],[f234])).
% 4.74/1.02 fof(f247,plain,(
% 4.74/1.02 ![A,B,C,D,M]: ((~midp(M,A,B)|~midp(M,C,D))|para(A,C,B,D))),
% 4.74/1.02 inference(pre_NNF_transformation,[status(thm)],[f64])).
% 4.74/1.02 fof(f248,plain,(
% 4.74/1.02 ![A,B,C,D]: ((![M]: (~midp(M,A,B)|~midp(M,C,D)))|para(A,C,B,D))),
% 4.74/1.02 inference(miniscoping,[status(thm)],[f247])).
% 4.74/1.02 fof(f249,plain,(
% 4.74/1.02 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~midp(X0,X3,X4)|para(X1,X3,X2,X4))),
% 4.74/1.02 inference(cnf_transformation,[status(thm)],[f248])).
% 4.74/1.02 fof(f255,plain,(
% 4.74/1.02 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 4.74/1.02 inference(pre_NNF_transformation,[status(thm)],[f67])).
% 4.74/1.02 fof(f256,plain,(
% 4.74/1.02 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 4.74/1.02 inference(cnf_transformation,[status(thm)],[f255])).
% 4.74/1.02 fof(f309,plain,(
% 4.74/1.02 ![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)))),
% 4.74/1.02 inference(pre_NNF_transformation,[status(thm)],[f83])).
% 4.74/1.02 fof(f310,plain,(
% 4.74/1.02 ![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)))),
% 4.74/1.02 inference(miniscoping,[status(thm)],[f309])).
% 4.74/1.02 fof(f311,plain,(
% 4.74/1.02 ![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)))),
% 4.74/1.02 inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl]),skolemize(P,sK6_skl(Q,A))],[f310])).
% 4.74/1.02 fof(f312,plain,(
% 4.74/1.02 ![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))),
% 4.74/1.02 inference(cnf_transformation,[status(thm)],[f311])).
% 4.74/1.02 fof(f346,plain,(
% 4.74/1.02 ![A,B,C,D]: (?[O]: ((~perp(A,C,C,B)|~cyclic(A,B,C,D))|circle(O,A,B,C)))),
% 4.74/1.02 inference(pre_NNF_transformation,[status(thm)],[f90])).
% 4.74/1.02 fof(f347,plain,(
% 4.74/1.02 ![A,B,C]: ((~perp(A,C,C,B)|(![D]: ~cyclic(A,B,C,D)))|(?[O]: circle(O,A,B,C)))),
% 4.74/1.02 inference(miniscoping,[status(thm)],[f346])).
% 4.74/1.02 fof(f348,plain,(
% 4.74/1.02 ![A,B,C]: ((~perp(A,C,C,B)|(![D]: ~cyclic(A,B,C,D)))|circle(sK15_skl(C,B,A),A,B,C))),
% 4.74/1.02 inference(skolemize,[status(esa),new_symbols(skolem,[sK15_skl]),skolemize(O,sK15_skl(C,B,A))],[f347])).
% 4.74/1.02 fof(f349,plain,(
% 4.74/1.02 ![X0,X1,X2,X3]: (~perp(X0,X1,X1,X2)|~cyclic(X0,X2,X1,X3)|circle(sK15_skl(X1,X2,X0),X0,X2,X1))),
% 4.74/1.02 inference(cnf_transformation,[status(thm)],[f348])).
% 4.74/1.02 fof(f369,plain,(
% 4.74/1.02 (?[A,B,C,A1,S,N,G,H]: ((((((((midp(A1,C,B)&eqangle(S,A,A,B,C,A,A,A1))&coll(S,B,C))&coll(N,A,A1))&perp(G,N,A,B))&coll(G,A,B))&perp(H,N,A,C))&coll(H,A,C))&~perp(G,H,A,S)))),
% 4.74/1.02 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 4.74/1.02 fof(f370,plain,(
% 4.74/1.02 ?[A,S,G,H]: ((?[C]: ((?[N]: ((?[B]: (((?[A1]: (((midp(A1,C,B)&eqangle(S,A,A,B,C,A,A,A1))&coll(S,B,C))&coll(N,A,A1)))&perp(G,N,A,B))&coll(G,A,B)))&perp(H,N,A,C)))&coll(H,A,C)))&~perp(G,H,A,S))),
% 4.74/1.02 inference(miniscoping,[status(thm)],[f369])).
% 4.74/1.02 fof(f371,plain,(
% 4.74/1.02 ((((((((midp(sK27_skl,sK24_skl,sK26_skl)&eqangle(sK21_skl,sK20_skl,sK20_skl,sK26_skl,sK24_skl,sK20_skl,sK20_skl,sK27_skl))&coll(sK21_skl,sK26_skl,sK24_skl))&coll(sK25_skl,sK20_skl,sK27_skl))&perp(sK22_skl,sK25_skl,sK20_skl,sK26_skl))&coll(sK22_skl,sK20_skl,sK26_skl))&perp(sK23_skl,sK25_skl,sK20_skl,sK24_skl))&coll(sK23_skl,sK20_skl,sK24_skl))&~perp(sK22_skl,sK23_skl,sK20_skl,sK21_skl))),
% 4.74/1.02 inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl,sK21_skl,sK22_skl,sK23_skl,sK24_skl,sK25_skl,sK26_skl,sK27_skl]),skolemize(A,sK20_skl),skolemize(S,sK21_skl),skolemize(G,sK22_skl),skolemize(H,sK23_skl),skolemize(C,sK24_skl),skolemize(N,sK25_skl),skolemize(B,sK26_skl),skolemize(A1,sK27_skl)],[f370])).
% 4.74/1.02 fof(f372,plain,(
% 4.74/1.02 midp(sK27_skl,sK24_skl,sK26_skl)),
% 4.74/1.02 inference(cnf_transformation,[status(thm)],[f371])).
% 4.74/1.02 fof(f374,plain,(
% 4.74/1.02 coll(sK21_skl,sK26_skl,sK24_skl)),
% 4.74/1.02 inference(cnf_transformation,[status(thm)],[f371])).
% 4.74/1.02 fof(f376,plain,(
% 4.74/1.02 perp(sK22_skl,sK25_skl,sK20_skl,sK26_skl)),
% 4.74/1.02 inference(cnf_transformation,[status(thm)],[f371])).
% 4.74/1.02 fof(f380,plain,(
% 4.74/1.02 ~perp(sK22_skl,sK23_skl,sK20_skl,sK21_skl)),
% 4.74/1.02 inference(cnf_transformation,[status(thm)],[f371])).
% 4.74/1.02 fof(f383,plain,(
% 4.74/1.02 coll(sK21_skl,sK24_skl,sK26_skl)),
% 4.74/1.02 inference(resolution,[status(thm)],[f98,f374])).
% 4.74/1.02 fof(f386,plain,(
% 4.74/1.02 coll(sK26_skl,sK21_skl,sK24_skl)),
% 4.74/1.02 inference(resolution,[status(thm)],[f100,f374])).
% 4.74/1.02 fof(f399,plain,(
% 4.74/1.02 ![X0]: (~coll(sK21_skl,sK24_skl,X0)|coll(sK26_skl,X0,sK21_skl))),
% 4.74/1.02 inference(resolution,[status(thm)],[f383,f103])).
% 4.74/1.02 fof(f402,plain,(
% 4.74/1.02 ![X0,X1]: (~perp(sK20_skl,sK26_skl,X0,X1)|para(sK22_skl,sK25_skl,X0,X1))),
% 4.74/1.02 inference(resolution,[status(thm)],[f376,f117])).
% 4.74/1.02 fof(f403,plain,(
% 4.74/1.02 perp(sK20_skl,sK26_skl,sK22_skl,sK25_skl)),
% 4.74/1.02 inference(resolution,[status(thm)],[f376,f114])).
% 4.74/1.02 fof(f414,plain,(
% 4.74/1.02 midp(sK27_skl,sK26_skl,sK24_skl)),
% 4.74/1.02 inference(resolution,[status(thm)],[f122,f372])).
% 4.74/1.02 fof(f418,plain,(
% 4.74/1.02 ![X0]: (~coll(sK26_skl,sK21_skl,X0)|coll(sK24_skl,X0,sK26_skl))),
% 4.74/1.02 inference(resolution,[status(thm)],[f386,f103])).
% 4.74/1.02 fof(f498,plain,(
% 4.74/1.02 para(sK22_skl,sK25_skl,sK22_skl,sK25_skl)),
% 4.74/1.02 inference(resolution,[status(thm)],[f403,f402])).
% 4.74/1.02 fof(f642,plain,(
% 4.74/1.02 coll(sK26_skl,sK26_skl,sK21_skl)),
% 4.74/1.02 inference(resolution,[status(thm)],[f399,f383])).
% 4.74/1.02 fof(f701,plain,(
% 4.74/1.02 coll(sK24_skl,sK24_skl,sK26_skl)),
% 4.74/1.02 inference(resolution,[status(thm)],[f418,f386])).
% 4.74/1.02 fof(f712,plain,(
% 4.74/1.02 coll(sK26_skl,sK21_skl,sK26_skl)),
% 4.74/1.02 inference(resolution,[status(thm)],[f642,f98])).
% 4.74/1.02 fof(f751,plain,(
% 4.74/1.02 ![X0,X1]: (eqangle(sK22_skl,sK25_skl,X0,X1,sK22_skl,sK25_skl,X0,X1))),
% 4.74/1.02 inference(resolution,[status(thm)],[f498,f189])).
% 4.74/1.02 fof(f954,plain,(
% 4.74/1.02 coll(sK24_skl,sK26_skl,sK26_skl)),
% 4.74/1.02 inference(resolution,[status(thm)],[f712,f418])).
% 4.74/1.02 fof(f989,plain,(
% 4.74/1.02 ![X0,X1,X2,X3]: (~midp(X0,X1,X2)|~coll(X1,sK24_skl,sK26_skl)|~coll(X2,sK24_skl,sK26_skl)|midp(sK6_skl(X3,sK24_skl),sK24_skl,X3))),
% 4.74/1.02 inference(resolution,[status(thm)],[f312,f372])).
% 4.74/1.02 fof(f997,definition,(
% 4.74/1.02 ![X0,X1,X2]: (sQ64_spl <=> (~midp(X0,X1,X2)|~coll(X1,sK24_skl,sK26_skl)|~coll(X2,sK24_skl,sK26_skl)))),
% 4.74/1.02 introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition])).
% 4.74/1.02 fof(f998,plain,(
% 4.74/1.02 ![X0,X1,X2]: (~midp(X0,X1,X2)|~coll(X1,sK24_skl,sK26_skl)|~coll(X2,sK24_skl,sK26_skl)|~sQ64_spl)),
% 4.74/1.02 inference(component_clause,[status(thm)],[f997])).
% 4.74/1.02 fof(f1000,definition,(
% 4.74/1.02 ![X3]: (sQ65_spl <=> (midp(sK6_skl(X3,sK24_skl),sK24_skl,X3)))),
% 4.74/1.02 introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition])).
% 4.74/1.02 fof(f1001,plain,(
% 4.74/1.02 ![X0]: (midp(sK6_skl(X0,sK24_skl),sK24_skl,X0)|~sQ65_spl)),
% 4.74/1.02 inference(component_clause,[status(thm)],[f1000])).
% 4.74/1.02 fof(f1003,plain,(
% 4.74/1.02 sQ64_spl|sQ65_spl),
% 4.74/1.02 inference(split_clause,[status(thm)],[f989,f997,f1000])).
% 4.74/1.02 fof(f1017,plain,(
% 4.74/1.02 ~coll(sK26_skl,sK24_skl,sK26_skl)|~coll(sK24_skl,sK24_skl,sK26_skl)|~sQ64_spl),
% 4.74/1.02 inference(resolution,[status(thm)],[f998,f414])).
% 4.74/1.02 fof(f1019,definition,(
% 4.74/1.02 sQ66_spl <=> (coll(sK26_skl,sK24_skl,sK26_skl))),
% 4.74/1.02 introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition])).
% 4.74/1.02 fof(f1021,plain,(
% 4.74/1.02 ~coll(sK26_skl,sK24_skl,sK26_skl)|sQ66_spl),
% 4.74/1.02 inference(component_clause,[status(thm)],[f1019])).
% 4.74/1.02 fof(f1022,definition,(
% 4.74/1.02 sQ67_spl <=> (coll(sK24_skl,sK24_skl,sK26_skl))),
% 4.74/1.02 introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition])).
% 4.74/1.02 fof(f1024,plain,(
% 4.74/1.02 ~coll(sK24_skl,sK24_skl,sK26_skl)|sQ67_spl),
% 4.74/1.02 inference(component_clause,[status(thm)],[f1022])).
% 4.74/1.02 fof(f1025,plain,(
% 4.74/1.02 ~sQ66_spl|~sQ67_spl|~sQ64_spl),
% 4.74/1.02 inference(split_clause,[status(thm)],[f1017,f1019,f1022,f997])).
% 4.74/1.02 fof(f1027,plain,(
% 4.74/1.02 $false|sQ67_spl),
% 4.74/1.02 inference(forward_subsumption_resolution,[status(thm)],[f1024,f701])).
% 4.74/1.02 fof(f1028,plain,(
% 4.74/1.02 sQ67_spl),
% 4.74/1.02 inference(contradiction_clause,[status(thm)],[f1027])).
% 4.74/1.02 fof(f1040,plain,(
% 4.74/1.02 ![X0,X1,X2]: (~midp(sK6_skl(X0,sK24_skl),X1,X2)|para(sK24_skl,X1,X0,X2)|~sQ65_spl)),
% 4.74/1.02 inference(resolution,[status(thm)],[f1001,f249])).
% 4.74/1.02 fof(f1045,plain,(
% 4.74/1.02 ![X0]: (midp(sK6_skl(X0,sK24_skl),X0,sK24_skl)|~sQ65_spl)),
% 4.74/1.02 inference(resolution,[status(thm)],[f1001,f122])).
% 4.74/1.02 fof(f1361,plain,(
% 4.74/1.02 coll(sK26_skl,sK24_skl,sK26_skl)),
% 4.74/1.02 inference(resolution,[status(thm)],[f954,f100])).
% 4.74/1.02 fof(f1694,plain,(
% 4.74/1.02 $false|sQ66_spl),
% 4.74/1.02 inference(forward_subsumption_resolution,[status(thm)],[f1361,f1021])).
% 4.74/1.02 fof(f1695,plain,(
% 4.74/1.02 sQ66_spl),
% 4.74/1.02 inference(contradiction_clause,[status(thm)],[f1694])).
% 4.74/1.02 fof(f2413,plain,(
% 4.74/1.02 ![X0]: (para(sK24_skl,X0,X0,sK24_skl)|~sQ65_spl)),
% 4.74/1.02 inference(resolution,[status(thm)],[f1045,f1040])).
% 4.74/1.02 fof(f2500,plain,(
% 4.74/1.02 ![X0]: (para(X0,sK24_skl,sK24_skl,X0)|~sQ65_spl)),
% 4.74/1.02 inference(resolution,[status(thm)],[f2413,f107])).
% 4.74/1.02 fof(f2530,plain,(
% 4.74/1.02 ![X0]: (para(X0,sK24_skl,X0,sK24_skl)|~sQ65_spl)),
% 4.74/1.02 inference(resolution,[status(thm)],[f2500,f105])).
% 4.74/1.02 fof(f2705,plain,(
% 4.74/1.02 ![X0]: (coll(X0,sK24_skl,sK24_skl)|~sQ65_spl)),
% 4.74/1.02 inference(resolution,[status(thm)],[f2530,f256])).
% 4.74/1.02 fof(f2814,plain,(
% 4.74/1.02 ![X0]: (coll(sK24_skl,X0,sK24_skl)|~sQ65_spl)),
% 4.74/1.02 inference(resolution,[status(thm)],[f2705,f100])).
% 4.74/1.02 fof(f2825,plain,(
% 4.74/1.02 ![X0]: (coll(sK24_skl,sK24_skl,X0)|~sQ65_spl)),
% 4.74/1.02 inference(resolution,[status(thm)],[f2814,f98])).
% 4.74/1.02 fof(f2826,plain,(
% 4.74/1.02 ![X0,X1]: (~coll(sK24_skl,sK24_skl,X0)|coll(X1,X0,sK24_skl)|~sQ65_spl)),
% 4.74/1.02 inference(resolution,[status(thm)],[f2825,f103])).
% 4.74/1.02 fof(f2829,plain,(
% 4.74/1.02 ![X0,X1]: (coll(X0,X1,sK24_skl)|~sQ65_spl)),
% 4.74/1.02 inference(forward_subsumption_resolution,[status(thm)],[f2826,f2825])).
% 4.74/1.02 fof(f3027,plain,(
% 4.74/1.02 ![X0,X1]: (coll(X0,sK24_skl,X1)|~sQ65_spl)),
% 4.74/1.02 inference(resolution,[status(thm)],[f2829,f98])).
% 4.74/1.02 fof(f3034,plain,(
% 4.74/1.02 ![X0,X1,X2]: (~coll(X0,sK24_skl,X1)|coll(X2,X1,X0)|~sQ65_spl)),
% 4.74/1.02 inference(resolution,[status(thm)],[f3027,f103])).
% 4.74/1.02 fof(f3037,plain,(
% 4.74/1.02 ![X0,X1,X2]: (coll(X0,X1,X2)|~sQ65_spl)),
% 4.74/1.02 inference(forward_subsumption_resolution,[status(thm)],[f3034,f3027])).
% 4.74/1.02 fof(f3043,plain,(
% 4.74/1.02 ![X0,X1,X2,X3,X4]: (~circle(X0,X1,X2,X3)|~eqangle(X1,X2,X1,X3,X0,X2,X0,X4)|midp(X4,X2,X3)|~sQ65_spl)),
% 4.74/1.02 inference(backward_subsumption_resolution,[status(thm)],[f219,f3037])).
% 4.74/1.02 fof(f3045,plain,(
% 4.74/1.02 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|cyclic(X1,X2,X0,X3)|~sQ65_spl)),
% 4.74/1.02 inference(backward_subsumption_resolution,[status(thm)],[f195,f3037])).
% 4.74/1.02 fof(f4583,plain,(
% 4.74/1.02 ![X0]: (cyclic(sK25_skl,X0,sK22_skl,sK22_skl)|~sQ65_spl)),
% 4.74/1.02 inference(resolution,[status(thm)],[f751,f3045])).
% 4.74/1.02 fof(f4606,plain,(
% 4.74/1.02 ![X0]: (cyclic(sK25_skl,sK22_skl,X0,sK22_skl)|~sQ65_spl)),
% 4.74/1.02 inference(resolution,[status(thm)],[f4583,f131])).
% 4.74/1.02 fof(f4621,plain,(
% 4.74/1.02 ![X0]: (cyclic(sK25_skl,sK22_skl,sK22_skl,X0)|~sQ65_spl)),
% 4.74/1.02 inference(resolution,[status(thm)],[f4606,f129])).
% 4.74/1.02 fof(f4738,plain,(
% 4.74/1.02 ![X0,X1]: (~cyclic(sK25_skl,sK22_skl,sK22_skl,X0)|cyclic(sK22_skl,sK22_skl,X1,X0)|~sQ65_spl)),
% 4.74/1.02 inference(resolution,[status(thm)],[f4621,f136])).
% 4.74/1.02 fof(f4749,plain,(
% 4.74/1.02 ![X0,X1]: (cyclic(sK22_skl,sK22_skl,X0,X1)|~sQ65_spl)),
% 4.74/1.02 inference(forward_subsumption_resolution,[status(thm)],[f4738,f4621])).
% 4.74/1.02 fof(f4753,plain,(
% 4.74/1.02 ![X0,X1,X2]: (~cyclic(sK22_skl,sK22_skl,X0,X1)|cyclic(sK22_skl,X0,X2,X1)|~sQ65_spl)),
% 4.74/1.02 inference(resolution,[status(thm)],[f4749,f136])).
% 4.74/1.02 fof(f4764,plain,(
% 4.74/1.02 ![X0,X1,X2]: (cyclic(sK22_skl,X0,X1,X2)|~sQ65_spl)),
% 4.74/1.02 inference(forward_subsumption_resolution,[status(thm)],[f4753,f4749])).
% 4.74/1.02 fof(f4792,plain,(
% 4.74/1.02 ![X0,X1,X2,X3]: (~cyclic(sK22_skl,X0,X1,X2)|cyclic(X0,X1,X3,X2)|~sQ65_spl)),
% 4.74/1.02 inference(resolution,[status(thm)],[f4764,f136])).
% 4.74/1.02 fof(f4796,plain,(
% 4.74/1.02 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3)|~sQ65_spl)),
% 4.74/1.02 inference(forward_subsumption_resolution,[status(thm)],[f4792,f4764])).
% 4.74/1.02 fof(f4797,plain,(
% 4.74/1.02 ![X0,X1,X2]: (~perp(X0,X1,X1,X2)|circle(sK15_skl(X1,X2,X0),X0,X2,X1)|~sQ65_spl)),
% 4.74/1.02 inference(backward_subsumption_resolution,[status(thm)],[f349,f4796])).
% 4.74/1.02 fof(f4798,plain,(
% 4.74/1.02 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X1,X0,X0,X3)|~sQ65_spl)),
% 4.74/1.02 inference(backward_subsumption_resolution,[status(thm)],[f235,f4796])).
% 4.74/1.02 fof(f4799,plain,(
% 4.74/1.02 ![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)|~sQ65_spl)),
% 4.74/1.02 inference(backward_subsumption_resolution,[status(thm)],[f198,f4796])).
% 4.74/1.02 fof(f4805,plain,(
% 4.74/1.02 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~sQ65_spl)),
% 4.74/1.02 inference(backward_subsumption_resolution,[status(thm)],[f191,f4796])).
% 4.74/1.02 fof(f4806,plain,(
% 4.74/1.02 ![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)|~sQ65_spl)),
% 4.74/1.02 inference(forward_subsumption_resolution,[status(thm)],[f4799,f4796])).
% 4.74/1.02 fof(f4817,plain,(
% 4.74/1.02 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X0,X2,X3,X4,X3,X5)|cong(X1,X2,X4,X5)|~sQ65_spl)),
% 4.74/1.02 inference(forward_subsumption_resolution,[status(thm)],[f4806,f4796])).
% 4.74/1.02 fof(f4977,plain,(
% 4.74/1.02 ![X0,X1]: (cong(X0,X1,X0,X1)|~sQ65_spl)),
% 4.74/1.02 inference(resolution,[status(thm)],[f4805,f4817])).
% 4.74/1.02 fof(f4978,plain,(
% 4.74/1.02 ![X0,X1,X2,X3]: (~circle(X0,X1,X2,X3)|midp(X3,X2,X3)|~sQ65_spl)),
% 4.74/1.02 inference(resolution,[status(thm)],[f4805,f3043])).
% 4.74/1.02 fof(f4992,plain,(
% 4.74/1.02 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X2,X0,X0,X1)|~sQ65_spl)),
% 4.74/1.02 inference(resolution,[status(thm)],[f4977,f4798])).
% 4.74/1.02 fof(f5004,plain,(
% 4.74/1.02 ![X0,X1,X2]: (perp(X0,X1,X1,X2)|~sQ65_spl)),
% 4.74/1.02 inference(forward_subsumption_resolution,[status(thm)],[f4992,f4977])).
% 4.74/1.02 fof(f5075,plain,(
% 4.74/1.02 ![X0,X1,X2]: (circle(sK15_skl(X0,X1,X2),X2,X1,X0)|~sQ65_spl)),
% 4.74/1.02 inference(backward_subsumption_resolution,[status(thm)],[f4797,f5004])).
% 4.74/1.02 fof(f5076,plain,(
% 4.74/1.02 ![X0,X1,X2,X3]: (~midp(X0,X1,X2)|cong(X1,X0,X3,X0)|~sQ65_spl)),
% 4.74/1.02 inference(backward_subsumption_resolution,[status(thm)],[f222,f5004])).
% 4.74/1.02 fof(f5172,plain,(
% 4.74/1.02 ![X0,X1]: (midp(X0,X1,X0)|~sQ65_spl)),
% 4.74/1.02 inference(resolution,[status(thm)],[f5075,f4978])).
% 4.74/1.02 fof(f5216,plain,(
% 4.74/1.02 ![X0,X1,X2]: (cong(X0,X1,X2,X1)|~sQ65_spl)),
% 4.74/1.02 inference(resolution,[status(thm)],[f5076,f5172])).
% 4.74/1.02 fof(f5539,plain,(
% 4.74/1.02 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|perp(X0,X2,X1,X3)|~sQ65_spl)),
% 4.74/1.02 inference(backward_subsumption_resolution,[status(thm)],[f232,f5216])).
% 4.74/1.02 fof(f5556,plain,(
% 4.74/1.02 ![X0,X1,X2,X3]: (perp(X0,X1,X2,X3)|~sQ65_spl)),
% 4.74/1.02 inference(forward_subsumption_resolution,[status(thm)],[f5539,f5216])).
% 4.74/1.02 fof(f5587,plain,(
% 4.74/1.02 $false|~sQ65_spl),
% 4.74/1.02 inference(backward_subsumption_resolution,[status(thm)],[f380,f5556])).
% 4.74/1.02 fof(f5607,plain,(
% 4.74/1.02 ~sQ65_spl),
% 4.74/1.02 inference(contradiction_clause,[status(thm)],[f5587])).
% 4.74/1.02 fof(f5608,plain,(
% 4.74/1.02 $false),
% 4.74/1.02 inference(sat_refutation,[status(thm)],[f1003,f1025,f1028,f1695,f5607])).
% 4.74/1.03 % SZS output end CNFRefutation for theBenchmark.p
% 4.74/1.04 % Elapsed time: 0.670331 seconds
% 4.74/1.04 % CPU time: 4.980996 seconds
% 4.74/1.04 % Total memory used: 128.981 MB
% 4.74/1.04 % Net memory used: 123.712 MB
%------------------------------------------------------------------------------