%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO650+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 12:26:46 PM UTC 2026
% Result : Theorem 14.11s 2.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO650+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n016.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 18:18:23 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.13/0.38 % Drodi V4.1.1
% 14.11/2.37 % Refutation found
% 14.11/2.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 14.11/2.37 % SZS output start CNFRefutation for theBenchmark
% 14.11/2.37 fof(f1,axiom,(
% 14.11/2.37 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 14.11/2.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.11/2.37 fof(f2,axiom,(
% 14.11/2.37 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 14.11/2.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.11/2.37 fof(f3,axiom,(
% 14.11/2.37 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 14.11/2.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.11/2.37 fof(f4,axiom,(
% 14.11/2.37 (! [A,B,C,D] :( para(A,B,C,D)=> para(A,B,D,C) ) )),
% 14.11/2.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.11/2.37 fof(f5,axiom,(
% 14.11/2.37 (! [A,B,C,D] :( para(A,B,C,D)=> para(C,D,A,B) ) )),
% 14.11/2.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.11/2.37 fof(f8,axiom,(
% 14.11/2.37 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 14.11/2.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.11/2.37 fof(f9,axiom,(
% 14.11/2.37 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 14.11/2.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.11/2.37 fof(f11,axiom,(
% 14.11/2.37 (! [A,B,M] :( midp(M,B,A)=> midp(M,A,B) ) )),
% 14.11/2.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.11/2.37 fof(f14,axiom,(
% 14.11/2.37 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,B,D,C) ) )),
% 14.11/2.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.11/2.37 fof(f15,axiom,(
% 14.11/2.37 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,C,B,D) ) )),
% 14.11/2.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.11/2.37 fof(f17,axiom,(
% 14.11/2.37 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 14.11/2.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.11/2.37 fof(f40,axiom,(
% 14.11/2.37 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 14.11/2.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.11/2.37 fof(f41,axiom,(
% 14.11/2.37 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 14.11/2.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.11/2.37 fof(f43,axiom,(
% 14.11/2.37 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 14.11/2.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.11/2.37 fof(f44,axiom,(
% 14.11/2.37 (! [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) ) )),
% 14.11/2.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.11/2.37 fof(f52,axiom,(
% 14.11/2.37 (! [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) ) )),
% 14.11/2.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.11/2.37 fof(f53,axiom,(
% 14.11/2.37 (! [A,B,C,M] :( ( perp(A,B,B,C)& midp(M,A,C) )=> cong(A,M,B,M) ) )),
% 14.11/2.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.11/2.37 fof(f57,axiom,(
% 14.11/2.37 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 14.11/2.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.11/2.37 fof(f58,axiom,(
% 14.11/2.37 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q)& cyclic(A,B,P,Q) )=> perp(P,A,A,Q) ) )),
% 14.11/2.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.11/2.37 fof(f64,axiom,(
% 14.11/2.37 (! [A,B,C,D,M] :( ( midp(M,A,B)& midp(M,C,D) )=> para(A,C,B,D) ) )),
% 14.11/2.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.11/2.37 fof(f67,axiom,(
% 14.11/2.37 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 14.11/2.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.11/2.37 fof(f82,axiom,(
% 14.11/2.37 (! [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) ) ) ))),
% 14.11/2.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.11/2.37 fof(f83,axiom,(
% 14.11/2.37 (! [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) ) ))),
% 14.11/2.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.11/2.37 fof(f90,axiom,(
% 14.11/2.37 (! [A,B,C,D] :(? [O] :( ( perp(A,C,C,B)& cyclic(A,B,C,D) )=> circle(O,A,B,C) ) ))),
% 14.11/2.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.11/2.37 fof(f95,conjecture,(
% 14.11/2.37 (! [A,B,C,D,E,F,G,MIDPNT1,MIDPNT2,MIDPNT3] :( ( midp(MIDPNT1,A,B)& perp(A,B,MIDPNT1,D)& midp(MIDPNT2,A,C)& perp(A,C,MIDPNT2,D)& midp(MIDPNT3,B,C)& perp(B,C,MIDPNT3,D)& perp(C,D,C,E)& perp(B,D,B,E)& perp(F,D,A,B)& coll(F,A,B)& coll(G,D,F)& coll(G,A,C) )=> para(G,E,A,B) ) )),
% 14.11/2.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.11/2.37 fof(f96,negated_conjecture,(
% 14.11/2.37 ~((! [A,B,C,D,E,F,G,MIDPNT1,MIDPNT2,MIDPNT3] :( ( midp(MIDPNT1,A,B)& perp(A,B,MIDPNT1,D)& midp(MIDPNT2,A,C)& perp(A,C,MIDPNT2,D)& midp(MIDPNT3,B,C)& perp(B,C,MIDPNT3,D)& perp(C,D,C,E)& perp(B,D,B,E)& perp(F,D,A,B)& coll(F,A,B)& coll(G,D,F)& coll(G,A,C) )=> para(G,E,A,B) ) ))),
% 14.11/2.37 inference(negated_conjecture,[status(cth)],[f95])).
% 14.11/2.37 fof(f97,plain,(
% 14.11/2.37 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 14.11/2.37 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 14.11/2.37 fof(f98,plain,(
% 14.11/2.37 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 14.11/2.37 inference(cnf_transformation,[status(thm)],[f97])).
% 14.11/2.37 fof(f99,plain,(
% 14.11/2.37 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 14.11/2.37 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 14.11/2.37 fof(f100,plain,(
% 14.11/2.37 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 14.11/2.37 inference(cnf_transformation,[status(thm)],[f99])).
% 14.11/2.37 fof(f101,plain,(
% 14.11/2.37 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 14.11/2.37 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 14.11/2.37 fof(f102,plain,(
% 14.11/2.37 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 14.11/2.37 inference(miniscoping,[status(thm)],[f101])).
% 14.11/2.37 fof(f103,plain,(
% 14.11/2.37 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 14.11/2.37 inference(cnf_transformation,[status(thm)],[f102])).
% 14.11/2.37 fof(f104,plain,(
% 14.11/2.37 ![A,B,C,D]: (~para(A,B,C,D)|para(A,B,D,C))),
% 14.11/2.37 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 14.11/2.37 fof(f105,plain,(
% 14.11/2.37 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X0,X1,X3,X2))),
% 14.11/2.37 inference(cnf_transformation,[status(thm)],[f104])).
% 14.11/2.37 fof(f106,plain,(
% 14.11/2.37 ![A,B,C,D]: (~para(A,B,C,D)|para(C,D,A,B))),
% 14.11/2.37 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 14.11/2.37 fof(f107,plain,(
% 14.11/2.37 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X2,X3,X0,X1))),
% 14.11/2.37 inference(cnf_transformation,[status(thm)],[f106])).
% 14.11/2.37 fof(f113,plain,(
% 14.11/2.37 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 14.11/2.37 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 14.11/2.37 fof(f114,plain,(
% 14.11/2.37 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 14.11/2.37 inference(cnf_transformation,[status(thm)],[f113])).
% 14.11/2.37 fof(f115,plain,(
% 14.11/2.37 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 14.11/2.37 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 14.11/2.37 fof(f116,plain,(
% 14.11/2.37 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 14.11/2.37 inference(miniscoping,[status(thm)],[f115])).
% 14.11/2.37 fof(f117,plain,(
% 14.11/2.37 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 14.11/2.37 inference(cnf_transformation,[status(thm)],[f116])).
% 14.11/2.37 fof(f121,plain,(
% 14.11/2.37 ![A,B,M]: (~midp(M,B,A)|midp(M,A,B))),
% 14.11/2.37 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 14.11/2.37 fof(f122,plain,(
% 14.11/2.37 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X0,X2,X1))),
% 14.11/2.37 inference(cnf_transformation,[status(thm)],[f121])).
% 14.11/2.37 fof(f128,plain,(
% 14.11/2.37 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,B,D,C))),
% 14.11/2.37 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 14.11/2.37 fof(f129,plain,(
% 14.11/2.37 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X1,X3,X2))),
% 14.11/2.37 inference(cnf_transformation,[status(thm)],[f128])).
% 14.11/2.37 fof(f130,plain,(
% 14.11/2.37 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,C,B,D))),
% 14.11/2.37 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 14.11/2.37 fof(f131,plain,(
% 14.11/2.37 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X2,X1,X3))),
% 14.11/2.37 inference(cnf_transformation,[status(thm)],[f130])).
% 14.11/2.37 fof(f134,plain,(
% 14.11/2.37 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 14.11/2.37 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 14.11/2.37 fof(f135,plain,(
% 14.11/2.37 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 14.11/2.37 inference(miniscoping,[status(thm)],[f134])).
% 14.11/2.37 fof(f136,plain,(
% 14.11/2.37 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 14.11/2.37 inference(cnf_transformation,[status(thm)],[f135])).
% 14.11/2.37 fof(f187,plain,(
% 14.11/2.37 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 14.11/2.37 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 14.11/2.37 fof(f188,plain,(
% 14.11/2.37 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 14.11/2.37 inference(miniscoping,[status(thm)],[f187])).
% 14.11/2.37 fof(f189,plain,(
% 14.11/2.37 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 14.11/2.37 inference(cnf_transformation,[status(thm)],[f188])).
% 14.11/2.37 fof(f190,plain,(
% 14.11/2.37 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 14.11/2.37 inference(pre_NNF_transformation,[status(thm)],[f41])).
% 14.11/2.37 fof(f191,plain,(
% 14.11/2.37 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 14.11/2.37 inference(cnf_transformation,[status(thm)],[f190])).
% 14.11/2.37 fof(f194,plain,(
% 14.11/2.37 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 14.11/2.37 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 14.11/2.37 fof(f195,plain,(
% 14.11/2.37 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 14.11/2.37 inference(cnf_transformation,[status(thm)],[f194])).
% 14.11/2.37 fof(f196,plain,(
% 14.11/2.37 ![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))),
% 14.11/2.37 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 14.11/2.37 fof(f197,plain,(
% 14.11/2.37 ![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))),
% 14.11/2.37 inference(miniscoping,[status(thm)],[f196])).
% 14.11/2.37 fof(f198,plain,(
% 14.11/2.37 ![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))),
% 14.11/2.37 inference(cnf_transformation,[status(thm)],[f197])).
% 14.11/2.37 fof(f217,plain,(
% 14.11/2.37 ![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))),
% 14.11/2.37 inference(pre_NNF_transformation,[status(thm)],[f52])).
% 14.11/2.37 fof(f218,plain,(
% 14.11/2.37 ![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))),
% 14.11/2.37 inference(miniscoping,[status(thm)],[f217])).
% 14.11/2.37 fof(f219,plain,(
% 14.11/2.37 ![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))),
% 14.11/2.37 inference(cnf_transformation,[status(thm)],[f218])).
% 14.11/2.37 fof(f220,plain,(
% 14.11/2.37 ![A,B,C,M]: ((~perp(A,B,B,C)|~midp(M,A,C))|cong(A,M,B,M))),
% 14.11/2.37 inference(pre_NNF_transformation,[status(thm)],[f53])).
% 14.11/2.37 fof(f221,plain,(
% 14.11/2.37 ![A,B,M]: ((![C]: (~perp(A,B,B,C)|~midp(M,A,C)))|cong(A,M,B,M))),
% 14.11/2.37 inference(miniscoping,[status(thm)],[f220])).
% 14.11/2.37 fof(f222,plain,(
% 14.11/2.37 ![X0,X1,X2,X3]: (~perp(X0,X1,X1,X2)|~midp(X3,X0,X2)|cong(X0,X3,X1,X3))),
% 14.11/2.37 inference(cnf_transformation,[status(thm)],[f221])).
% 14.11/2.37 fof(f231,plain,(
% 14.11/2.37 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 14.11/2.37 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 14.11/2.37 fof(f232,plain,(
% 14.11/2.37 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 14.11/2.37 inference(cnf_transformation,[status(thm)],[f231])).
% 14.11/2.37 fof(f233,plain,(
% 14.11/2.37 ![A,B,P,Q]: (((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q))|perp(P,A,A,Q))),
% 14.11/2.37 inference(pre_NNF_transformation,[status(thm)],[f58])).
% 14.11/2.37 fof(f234,plain,(
% 14.11/2.37 ![A,P,Q]: ((![B]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q)))|perp(P,A,A,Q))),
% 14.11/2.37 inference(miniscoping,[status(thm)],[f233])).
% 14.11/2.37 fof(f235,plain,(
% 14.11/2.37 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|~cyclic(X0,X2,X1,X3)|perp(X1,X0,X0,X3))),
% 14.11/2.37 inference(cnf_transformation,[status(thm)],[f234])).
% 14.11/2.37 fof(f247,plain,(
% 14.11/2.37 ![A,B,C,D,M]: ((~midp(M,A,B)|~midp(M,C,D))|para(A,C,B,D))),
% 14.11/2.37 inference(pre_NNF_transformation,[status(thm)],[f64])).
% 14.11/2.37 fof(f248,plain,(
% 14.11/2.37 ![A,B,C,D]: ((![M]: (~midp(M,A,B)|~midp(M,C,D)))|para(A,C,B,D))),
% 14.11/2.37 inference(miniscoping,[status(thm)],[f247])).
% 14.11/2.37 fof(f249,plain,(
% 14.11/2.37 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~midp(X0,X3,X4)|para(X1,X3,X2,X4))),
% 14.11/2.37 inference(cnf_transformation,[status(thm)],[f248])).
% 14.11/2.37 fof(f255,plain,(
% 14.11/2.37 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 14.11/2.37 inference(pre_NNF_transformation,[status(thm)],[f67])).
% 14.11/2.37 fof(f256,plain,(
% 14.11/2.37 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 14.11/2.37 inference(cnf_transformation,[status(thm)],[f255])).
% 14.11/2.37 fof(f303,plain,(
% 14.11/2.37 ![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))))),
% 14.11/2.37 inference(pre_NNF_transformation,[status(thm)],[f82])).
% 14.11/2.37 fof(f304,plain,(
% 14.11/2.37 ![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))))),
% 14.11/2.37 inference(miniscoping,[status(thm)],[f303])).
% 14.11/2.37 fof(f305,plain,(
% 14.11/2.37 ![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)))),
% 14.11/2.37 inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(P,sK5_skl(N,M,D,C,B,A))],[f304])).
% 14.11/2.37 fof(f306,plain,(
% 14.11/2.37 ![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))),
% 14.11/2.37 inference(cnf_transformation,[status(thm)],[f305])).
% 14.11/2.37 fof(f309,plain,(
% 14.11/2.37 ![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)))),
% 14.11/2.37 inference(pre_NNF_transformation,[status(thm)],[f83])).
% 14.11/2.37 fof(f310,plain,(
% 14.11/2.37 ![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)))),
% 14.11/2.37 inference(miniscoping,[status(thm)],[f309])).
% 14.11/2.37 fof(f311,plain,(
% 14.11/2.37 ![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)))),
% 14.11/2.37 inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl]),skolemize(P,sK6_skl(Q,A))],[f310])).
% 14.11/2.37 fof(f312,plain,(
% 14.11/2.37 ![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))),
% 14.11/2.37 inference(cnf_transformation,[status(thm)],[f311])).
% 14.11/2.37 fof(f346,plain,(
% 14.11/2.37 ![A,B,C,D]: (?[O]: ((~perp(A,C,C,B)|~cyclic(A,B,C,D))|circle(O,A,B,C)))),
% 14.11/2.37 inference(pre_NNF_transformation,[status(thm)],[f90])).
% 14.11/2.37 fof(f347,plain,(
% 14.11/2.37 ![A,B,C]: ((~perp(A,C,C,B)|(![D]: ~cyclic(A,B,C,D)))|(?[O]: circle(O,A,B,C)))),
% 14.11/2.37 inference(miniscoping,[status(thm)],[f346])).
% 14.11/2.37 fof(f348,plain,(
% 14.11/2.37 ![A,B,C]: ((~perp(A,C,C,B)|(![D]: ~cyclic(A,B,C,D)))|circle(sK15_skl(C,B,A),A,B,C))),
% 14.11/2.37 inference(skolemize,[status(esa),new_symbols(skolem,[sK15_skl]),skolemize(O,sK15_skl(C,B,A))],[f347])).
% 14.11/2.37 fof(f349,plain,(
% 14.11/2.37 ![X0,X1,X2,X3]: (~perp(X0,X1,X1,X2)|~cyclic(X0,X2,X1,X3)|circle(sK15_skl(X1,X2,X0),X0,X2,X1))),
% 14.11/2.37 inference(cnf_transformation,[status(thm)],[f348])).
% 14.11/2.37 fof(f369,plain,(
% 14.11/2.37 (?[A,B,C,D,E,F,G,MIDPNT1,MIDPNT2,MIDPNT3]: ((((((((((((midp(MIDPNT1,A,B)&perp(A,B,MIDPNT1,D))&midp(MIDPNT2,A,C))&perp(A,C,MIDPNT2,D))&midp(MIDPNT3,B,C))&perp(B,C,MIDPNT3,D))&perp(C,D,C,E))&perp(B,D,B,E))&perp(F,D,A,B))&coll(F,A,B))&coll(G,D,F))&coll(G,A,C))&~para(G,E,A,B)))),
% 14.11/2.37 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 14.11/2.37 fof(f370,plain,(
% 14.11/2.37 ?[A,B,E,G]: ((?[C]: ((?[D,F]: ((((((?[MIDPNT3]: (((?[MIDPNT2]: (((?[MIDPNT1]: (midp(MIDPNT1,A,B)&perp(A,B,MIDPNT1,D)))&midp(MIDPNT2,A,C))&perp(A,C,MIDPNT2,D)))&midp(MIDPNT3,B,C))&perp(B,C,MIDPNT3,D)))&perp(C,D,C,E))&perp(B,D,B,E))&perp(F,D,A,B))&coll(F,A,B))&coll(G,D,F)))&coll(G,A,C)))&~para(G,E,A,B))),
% 14.11/2.37 inference(miniscoping,[status(thm)],[f369])).
% 14.11/2.37 fof(f371,plain,(
% 14.11/2.37 ((((((((((((midp(sK29_skl,sK20_skl,sK21_skl)&perp(sK20_skl,sK21_skl,sK29_skl,sK25_skl))&midp(sK28_skl,sK20_skl,sK24_skl))&perp(sK20_skl,sK24_skl,sK28_skl,sK25_skl))&midp(sK27_skl,sK21_skl,sK24_skl))&perp(sK21_skl,sK24_skl,sK27_skl,sK25_skl))&perp(sK24_skl,sK25_skl,sK24_skl,sK22_skl))&perp(sK21_skl,sK25_skl,sK21_skl,sK22_skl))&perp(sK26_skl,sK25_skl,sK20_skl,sK21_skl))&coll(sK26_skl,sK20_skl,sK21_skl))&coll(sK23_skl,sK25_skl,sK26_skl))&coll(sK23_skl,sK20_skl,sK24_skl))&~para(sK23_skl,sK22_skl,sK20_skl,sK21_skl))),
% 14.11/2.37 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]),skolemize(A,sK20_skl),skolemize(B,sK21_skl),skolemize(E,sK22_skl),skolemize(G,sK23_skl),skolemize(C,sK24_skl),skolemize(D,sK25_skl),skolemize(F,sK26_skl),skolemize(MIDPNT3,sK27_skl),skolemize(MIDPNT2,sK28_skl),skolemize(MIDPNT1,sK29_skl)],[f370])).
% 14.11/2.37 fof(f372,plain,(
% 14.11/2.37 midp(sK29_skl,sK20_skl,sK21_skl)),
% 14.11/2.37 inference(cnf_transformation,[status(thm)],[f371])).
% 14.11/2.37 fof(f373,plain,(
% 14.11/2.37 perp(sK20_skl,sK21_skl,sK29_skl,sK25_skl)),
% 14.11/2.37 inference(cnf_transformation,[status(thm)],[f371])).
% 14.11/2.37 fof(f374,plain,(
% 14.11/2.37 midp(sK28_skl,sK20_skl,sK24_skl)),
% 14.11/2.37 inference(cnf_transformation,[status(thm)],[f371])).
% 14.11/2.37 fof(f383,plain,(
% 14.11/2.37 coll(sK23_skl,sK20_skl,sK24_skl)),
% 14.11/2.37 inference(cnf_transformation,[status(thm)],[f371])).
% 14.11/2.37 fof(f384,plain,(
% 14.11/2.37 ~para(sK23_skl,sK22_skl,sK20_skl,sK21_skl)),
% 14.11/2.37 inference(cnf_transformation,[status(thm)],[f371])).
% 14.11/2.37 fof(f392,plain,(
% 14.11/2.37 coll(sK20_skl,sK23_skl,sK24_skl)),
% 14.11/2.37 inference(resolution,[status(thm)],[f383,f100])).
% 14.11/2.37 fof(f393,plain,(
% 14.11/2.37 coll(sK23_skl,sK24_skl,sK20_skl)),
% 14.11/2.37 inference(resolution,[status(thm)],[f383,f98])).
% 14.11/2.37 fof(f398,plain,(
% 14.11/2.37 perp(sK29_skl,sK25_skl,sK20_skl,sK21_skl)),
% 14.11/2.37 inference(resolution,[status(thm)],[f114,f373])).
% 14.11/2.37 fof(f399,plain,(
% 14.11/2.37 ![X0,X1]: (~perp(sK29_skl,sK25_skl,X0,X1)|para(sK20_skl,sK21_skl,X0,X1))),
% 14.11/2.37 inference(resolution,[status(thm)],[f117,f373])).
% 14.11/2.37 fof(f417,plain,(
% 14.11/2.37 midp(sK29_skl,sK21_skl,sK20_skl)),
% 14.11/2.37 inference(resolution,[status(thm)],[f122,f372])).
% 14.11/2.37 fof(f421,plain,(
% 14.11/2.37 ![X0]: (~coll(sK20_skl,sK23_skl,X0)|coll(sK24_skl,X0,sK20_skl))),
% 14.11/2.37 inference(resolution,[status(thm)],[f392,f103])).
% 14.11/2.37 fof(f424,plain,(
% 14.11/2.37 ![X0]: (~coll(sK23_skl,sK24_skl,X0)|coll(sK20_skl,X0,sK23_skl))),
% 14.11/2.37 inference(resolution,[status(thm)],[f393,f103])).
% 14.11/2.37 fof(f572,plain,(
% 14.11/2.37 para(sK20_skl,sK21_skl,sK20_skl,sK21_skl)),
% 14.11/2.37 inference(resolution,[status(thm)],[f399,f398])).
% 14.11/2.37 fof(f1040,plain,(
% 14.11/2.37 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(sK5_skl(X0,sK29_skl,X2,X1,sK21_skl,sK20_skl),sK20_skl,X2))),
% 14.11/2.37 inference(resolution,[status(thm)],[f306,f372])).
% 14.11/2.37 fof(f1056,plain,(
% 14.11/2.37 ![X0,X1,X2,X3]: (~midp(X0,X1,X2)|~coll(X1,sK20_skl,sK24_skl)|~coll(X2,sK20_skl,sK24_skl)|midp(sK6_skl(X3,sK20_skl),sK20_skl,X3))),
% 14.11/2.37 inference(resolution,[status(thm)],[f312,f374])).
% 14.11/2.37 fof(f1077,definition,(
% 14.11/2.37 ![X0,X1,X2]: (sQ82_spl <=> (~midp(X0,X1,X2)|~coll(X1,sK20_skl,sK24_skl)|~coll(X2,sK20_skl,sK24_skl)))),
% 14.11/2.37 introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition])).
% 14.11/2.37 fof(f1078,plain,(
% 14.11/2.37 ![X0,X1,X2]: (~midp(X0,X1,X2)|~coll(X1,sK20_skl,sK24_skl)|~coll(X2,sK20_skl,sK24_skl)|~sQ82_spl)),
% 14.11/2.37 inference(component_clause,[status(thm)],[f1077])).
% 14.11/2.37 fof(f1080,definition,(
% 14.11/2.37 ![X3]: (sQ83_spl <=> (midp(sK6_skl(X3,sK20_skl),sK20_skl,X3)))),
% 14.11/2.37 introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition])).
% 14.11/2.37 fof(f1081,plain,(
% 14.11/2.37 ![X0]: (midp(sK6_skl(X0,sK20_skl),sK20_skl,X0)|~sQ83_spl)),
% 14.11/2.37 inference(component_clause,[status(thm)],[f1080])).
% 14.11/2.37 fof(f1083,plain,(
% 14.11/2.37 sQ82_spl|sQ83_spl),
% 14.11/2.37 inference(split_clause,[status(thm)],[f1056,f1077,f1080])).
% 14.11/2.37 fof(f1123,plain,(
% 14.11/2.37 midp(sK5_skl(sK29_skl,sK29_skl,sK20_skl,sK21_skl,sK21_skl,sK20_skl),sK20_skl,sK20_skl)),
% 14.11/2.37 inference(resolution,[status(thm)],[f1040,f417])).
% 14.11/2.37 fof(f1658,plain,(
% 14.11/2.37 ![X0,X1,X2]: (~midp(sK6_skl(X0,sK20_skl),X1,X2)|para(sK20_skl,X1,X0,X2)|~sQ83_spl)),
% 14.11/2.37 inference(resolution,[status(thm)],[f1081,f249])).
% 14.11/2.37 fof(f1661,plain,(
% 14.11/2.37 ![X0]: (midp(sK6_skl(X0,sK20_skl),X0,sK20_skl)|~sQ83_spl)),
% 14.11/2.37 inference(resolution,[status(thm)],[f1081,f122])).
% 14.11/2.37 fof(f1699,plain,(
% 14.11/2.37 ![X0,X1]: (eqangle(sK20_skl,sK21_skl,X0,X1,sK20_skl,sK21_skl,X0,X1))),
% 14.11/2.37 inference(resolution,[status(thm)],[f572,f189])).
% 14.11/2.37 fof(f2307,plain,(
% 14.11/2.37 coll(sK20_skl,sK20_skl,sK23_skl)),
% 14.11/2.37 inference(resolution,[status(thm)],[f424,f393])).
% 14.11/2.37 fof(f2329,plain,(
% 14.11/2.37 coll(sK20_skl,sK23_skl,sK20_skl)),
% 14.11/2.37 inference(resolution,[status(thm)],[f2307,f98])).
% 14.11/2.37 fof(f2349,plain,(
% 14.11/2.37 coll(sK24_skl,sK20_skl,sK20_skl)),
% 14.11/2.37 inference(resolution,[status(thm)],[f2329,f421])).
% 14.11/2.37 fof(f2420,plain,(
% 14.11/2.37 coll(sK20_skl,sK24_skl,sK20_skl)),
% 14.11/2.37 inference(resolution,[status(thm)],[f2349,f100])).
% 14.11/2.37 fof(f2696,plain,(
% 14.11/2.37 coll(sK20_skl,sK20_skl,sK24_skl)),
% 14.11/2.37 inference(resolution,[status(thm)],[f2420,f98])).
% 14.11/2.37 fof(f5238,plain,(
% 14.11/2.37 ~coll(sK20_skl,sK20_skl,sK24_skl)|~coll(sK20_skl,sK20_skl,sK24_skl)|~sQ82_spl),
% 14.11/2.37 inference(resolution,[status(thm)],[f1078,f1123])).
% 14.11/2.37 fof(f5264,definition,(
% 14.11/2.37 sQ433_spl <=> (coll(sK20_skl,sK20_skl,sK24_skl))),
% 14.11/2.37 introduced(definition,[new_symbols(definition,[sQ433_spl])],[split_symbol_definition])).
% 14.11/2.37 fof(f5266,plain,(
% 14.11/2.37 ~coll(sK20_skl,sK20_skl,sK24_skl)|sQ433_spl),
% 14.11/2.37 inference(component_clause,[status(thm)],[f5264])).
% 14.11/2.37 fof(f5271,plain,(
% 14.11/2.37 ~sQ433_spl|~sQ82_spl),
% 14.11/2.37 inference(split_clause,[status(thm)],[f5238,f5264,f1077])).
% 14.11/2.37 fof(f5344,plain,(
% 14.11/2.37 $false|sQ433_spl),
% 14.11/2.37 inference(forward_subsumption_resolution,[status(thm)],[f5266,f2696])).
% 14.11/2.37 fof(f5345,plain,(
% 14.11/2.37 sQ433_spl),
% 14.11/2.37 inference(contradiction_clause,[status(thm)],[f5344])).
% 14.11/2.37 fof(f6950,plain,(
% 14.11/2.37 ![X0]: (para(sK20_skl,X0,X0,sK20_skl)|~sQ83_spl)),
% 14.11/2.37 inference(resolution,[status(thm)],[f1661,f1658])).
% 14.11/2.37 fof(f7025,plain,(
% 14.11/2.37 ![X0]: (para(X0,sK20_skl,sK20_skl,X0)|~sQ83_spl)),
% 14.11/2.37 inference(resolution,[status(thm)],[f6950,f107])).
% 14.11/2.37 fof(f7062,plain,(
% 14.11/2.37 ![X0]: (para(X0,sK20_skl,X0,sK20_skl)|~sQ83_spl)),
% 14.11/2.37 inference(resolution,[status(thm)],[f7025,f105])).
% 14.11/2.37 fof(f7324,plain,(
% 14.11/2.37 ![X0]: (coll(X0,sK20_skl,sK20_skl)|~sQ83_spl)),
% 14.11/2.37 inference(resolution,[status(thm)],[f7062,f256])).
% 14.11/2.37 fof(f7400,plain,(
% 14.11/2.37 ![X0]: (coll(sK20_skl,X0,sK20_skl)|~sQ83_spl)),
% 14.11/2.37 inference(resolution,[status(thm)],[f7324,f100])).
% 14.11/2.37 fof(f7406,plain,(
% 14.11/2.37 ![X0]: (coll(sK20_skl,sK20_skl,X0)|~sQ83_spl)),
% 14.11/2.37 inference(resolution,[status(thm)],[f7400,f98])).
% 14.11/2.37 fof(f7414,plain,(
% 14.11/2.37 ![X0,X1]: (~coll(sK20_skl,sK20_skl,X0)|coll(X1,X0,sK20_skl)|~sQ83_spl)),
% 14.11/2.37 inference(resolution,[status(thm)],[f7406,f103])).
% 14.11/2.37 fof(f7417,plain,(
% 14.11/2.37 ![X0,X1]: (coll(X0,X1,sK20_skl)|~sQ83_spl)),
% 14.11/2.37 inference(forward_subsumption_resolution,[status(thm)],[f7414,f7406])).
% 14.11/2.37 fof(f7434,plain,(
% 14.11/2.37 ![X0,X1]: (coll(X0,sK20_skl,X1)|~sQ83_spl)),
% 14.11/2.37 inference(resolution,[status(thm)],[f7417,f98])).
% 14.11/2.37 fof(f7444,plain,(
% 14.11/2.37 ![X0,X1,X2]: (~coll(X0,sK20_skl,X1)|coll(X2,X1,X0)|~sQ83_spl)),
% 14.11/2.37 inference(resolution,[status(thm)],[f7434,f103])).
% 14.11/2.37 fof(f7449,plain,(
% 14.11/2.37 ![X0,X1,X2]: (coll(X0,X1,X2)|~sQ83_spl)),
% 14.11/2.37 inference(forward_subsumption_resolution,[status(thm)],[f7444,f7434])).
% 14.11/2.37 fof(f7522,plain,(
% 14.11/2.37 ![X0,X1,X2,X3,X4]: (~circle(X0,X1,X2,X3)|~eqangle(X1,X2,X1,X3,X0,X2,X0,X4)|midp(X4,X2,X3)|~sQ83_spl)),
% 14.11/2.37 inference(backward_subsumption_resolution,[status(thm)],[f219,f7449])).
% 14.11/2.37 fof(f7523,plain,(
% 14.11/2.37 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|cyclic(X1,X2,X0,X3)|~sQ83_spl)),
% 14.11/2.37 inference(backward_subsumption_resolution,[status(thm)],[f195,f7449])).
% 14.11/2.37 fof(f11970,plain,(
% 14.11/2.37 ![X0]: (cyclic(sK21_skl,X0,sK20_skl,sK20_skl)|~sQ83_spl)),
% 14.11/2.37 inference(resolution,[status(thm)],[f1699,f7523])).
% 14.11/2.37 fof(f12009,plain,(
% 14.11/2.37 ![X0]: (cyclic(sK21_skl,sK20_skl,X0,sK20_skl)|~sQ83_spl)),
% 14.11/2.37 inference(resolution,[status(thm)],[f11970,f131])).
% 14.11/2.37 fof(f12035,plain,(
% 14.11/2.37 ![X0]: (cyclic(sK21_skl,sK20_skl,sK20_skl,X0)|~sQ83_spl)),
% 14.11/2.37 inference(resolution,[status(thm)],[f12009,f129])).
% 14.11/2.37 fof(f12108,plain,(
% 14.11/2.37 ![X0,X1]: (~cyclic(sK21_skl,sK20_skl,sK20_skl,X0)|cyclic(sK20_skl,sK20_skl,X1,X0)|~sQ83_spl)),
% 14.11/2.37 inference(resolution,[status(thm)],[f12035,f136])).
% 14.11/2.37 fof(f12119,plain,(
% 14.11/2.37 ![X0,X1]: (cyclic(sK20_skl,sK20_skl,X0,X1)|~sQ83_spl)),
% 14.11/2.37 inference(forward_subsumption_resolution,[status(thm)],[f12108,f12035])).
% 14.11/2.37 fof(f12235,plain,(
% 14.11/2.37 ![X0,X1,X2]: (~cyclic(sK20_skl,sK20_skl,X0,X1)|cyclic(sK20_skl,X0,X2,X1)|~sQ83_spl)),
% 14.11/2.37 inference(resolution,[status(thm)],[f12119,f136])).
% 14.11/2.37 fof(f12246,plain,(
% 14.11/2.37 ![X0,X1,X2]: (cyclic(sK20_skl,X0,X1,X2)|~sQ83_spl)),
% 14.11/2.37 inference(forward_subsumption_resolution,[status(thm)],[f12235,f12119])).
% 14.11/2.37 fof(f12250,plain,(
% 14.11/2.37 ![X0,X1,X2,X3]: (~cyclic(sK20_skl,X0,X1,X2)|cyclic(X0,X1,X3,X2)|~sQ83_spl)),
% 14.11/2.37 inference(resolution,[status(thm)],[f12246,f136])).
% 14.11/2.37 fof(f12254,plain,(
% 14.11/2.37 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3)|~sQ83_spl)),
% 14.11/2.37 inference(forward_subsumption_resolution,[status(thm)],[f12250,f12246])).
% 14.11/2.37 fof(f12354,plain,(
% 14.11/2.37 ![X0,X1,X2]: (~perp(X0,X1,X1,X2)|circle(sK15_skl(X1,X2,X0),X0,X2,X1)|~sQ83_spl)),
% 14.11/2.37 inference(backward_subsumption_resolution,[status(thm)],[f349,f12254])).
% 14.11/2.37 fof(f12355,plain,(
% 14.11/2.37 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X1,X0,X0,X3)|~sQ83_spl)),
% 14.11/2.37 inference(backward_subsumption_resolution,[status(thm)],[f235,f12254])).
% 14.11/2.37 fof(f12356,plain,(
% 14.11/2.37 ![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)|~sQ83_spl)),
% 14.11/2.37 inference(backward_subsumption_resolution,[status(thm)],[f198,f12254])).
% 14.11/2.37 fof(f12363,plain,(
% 14.11/2.37 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~sQ83_spl)),
% 14.11/2.37 inference(backward_subsumption_resolution,[status(thm)],[f191,f12254])).
% 14.11/2.37 fof(f12364,plain,(
% 14.11/2.37 ![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)|~sQ83_spl)),
% 14.11/2.37 inference(forward_subsumption_resolution,[status(thm)],[f12356,f12254])).
% 14.11/2.37 fof(f12431,plain,(
% 14.11/2.37 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X0,X2,X3,X4,X3,X5)|cong(X1,X2,X4,X5)|~sQ83_spl)),
% 14.11/2.37 inference(forward_subsumption_resolution,[status(thm)],[f12364,f12254])).
% 14.11/2.37 fof(f13217,plain,(
% 14.11/2.37 ![X0,X1]: (cong(X0,X1,X0,X1)|~sQ83_spl)),
% 14.11/2.39 inference(resolution,[status(thm)],[f12363,f12431])).
% 14.11/2.39 fof(f13218,plain,(
% 14.11/2.39 ![X0,X1,X2,X3]: (~circle(X0,X1,X2,X3)|midp(X3,X2,X3)|~sQ83_spl)),
% 14.11/2.39 inference(resolution,[status(thm)],[f12363,f7522])).
% 14.11/2.39 fof(f13242,plain,(
% 14.11/2.39 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X2,X0,X0,X1)|~sQ83_spl)),
% 14.11/2.39 inference(resolution,[status(thm)],[f13217,f12355])).
% 14.11/2.39 fof(f13254,plain,(
% 14.11/2.39 ![X0,X1,X2]: (perp(X0,X1,X1,X2)|~sQ83_spl)),
% 14.11/2.39 inference(forward_subsumption_resolution,[status(thm)],[f13242,f13217])).
% 14.11/2.39 fof(f13403,plain,(
% 14.11/2.39 ![X0,X1,X2]: (circle(sK15_skl(X0,X1,X2),X2,X1,X0)|~sQ83_spl)),
% 14.11/2.39 inference(backward_subsumption_resolution,[status(thm)],[f12354,f13254])).
% 14.11/2.39 fof(f13404,plain,(
% 14.11/2.39 ![X0,X1,X2,X3]: (~midp(X0,X1,X2)|cong(X1,X0,X3,X0)|~sQ83_spl)),
% 14.11/2.39 inference(backward_subsumption_resolution,[status(thm)],[f222,f13254])).
% 14.11/2.39 fof(f13575,plain,(
% 14.11/2.39 ![X0,X1]: (midp(X0,X1,X0)|~sQ83_spl)),
% 14.11/2.39 inference(resolution,[status(thm)],[f13403,f13218])).
% 14.11/2.39 fof(f13693,plain,(
% 14.11/2.39 ![X0,X1,X2]: (cong(X0,X1,X2,X1)|~sQ83_spl)),
% 14.11/2.39 inference(resolution,[status(thm)],[f13404,f13575])).
% 14.11/2.39 fof(f14323,plain,(
% 14.11/2.39 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|perp(X0,X2,X1,X3)|~sQ83_spl)),
% 14.11/2.39 inference(backward_subsumption_resolution,[status(thm)],[f232,f13693])).
% 14.11/2.39 fof(f14350,plain,(
% 14.11/2.39 ![X0,X1,X2,X3]: (perp(X0,X1,X2,X3)|~sQ83_spl)),
% 14.11/2.39 inference(forward_subsumption_resolution,[status(thm)],[f14323,f13693])).
% 14.11/2.39 fof(f14351,plain,(
% 14.11/2.39 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|para(X0,X1,X4,X5)|~sQ83_spl)),
% 14.11/2.39 inference(backward_subsumption_resolution,[status(thm)],[f117,f14350])).
% 14.11/2.39 fof(f14408,plain,(
% 14.11/2.39 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3)|~sQ83_spl)),
% 14.11/2.39 inference(forward_subsumption_resolution,[status(thm)],[f14351,f14350])).
% 14.11/2.39 fof(f14458,plain,(
% 14.11/2.39 $false|~sQ83_spl),
% 14.11/2.39 inference(backward_subsumption_resolution,[status(thm)],[f384,f14408])).
% 14.11/2.39 fof(f14476,plain,(
% 14.11/2.39 ~sQ83_spl),
% 14.11/2.39 inference(contradiction_clause,[status(thm)],[f14458])).
% 14.11/2.39 fof(f14477,plain,(
% 14.11/2.39 $false),
% 14.11/2.39 inference(sat_refutation,[status(thm)],[f1083,f5271,f5345,f14476])).
% 14.11/2.39 % SZS output end CNFRefutation for theBenchmark.p
% 14.04/2.41 % Elapsed time: 2.028009 seconds
% 14.04/2.41 % CPU time: 15.714688 seconds
% 14.04/2.41 % Total memory used: 169.185 MB
% 14.04/2.41 % Net memory used: 157.639 MB
%------------------------------------------------------------------------------