%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO604+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 : n018.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 12:26:42 PM UTC 2026
% Result : Theorem 5.75s 1.50s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO604+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.43 % Computer : n018.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Sun Sep 20 17:43:57 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.46 % Drodi V4.1.1
% 5.75/1.50 % Refutation found
% 5.75/1.50 % SZS status Theorem for theBenchmark: Theorem is valid
% 5.75/1.50 % SZS output start CNFRefutation for theBenchmark
% 5.75/1.50 fof(f1,axiom,(
% 5.75/1.50 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 5.75/1.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.75/1.50 fof(f2,axiom,(
% 5.75/1.50 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 5.75/1.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.75/1.50 fof(f3,axiom,(
% 5.75/1.50 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 5.75/1.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.75/1.50 fof(f4,axiom,(
% 5.75/1.50 (! [A,B,C,D] :( para(A,B,C,D)=> para(A,B,D,C) ) )),
% 5.75/1.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.75/1.50 fof(f5,axiom,(
% 5.75/1.50 (! [A,B,C,D] :( para(A,B,C,D)=> para(C,D,A,B) ) )),
% 5.75/1.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.75/1.50 fof(f8,axiom,(
% 5.75/1.50 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 5.75/1.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.75/1.50 fof(f9,axiom,(
% 5.75/1.50 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 5.75/1.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.75/1.50 fof(f11,axiom,(
% 5.75/1.50 (! [A,B,M] :( midp(M,B,A)=> midp(M,A,B) ) )),
% 5.75/1.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.75/1.50 fof(f14,axiom,(
% 5.75/1.50 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,B,D,C) ) )),
% 5.75/1.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.75/1.50 fof(f15,axiom,(
% 5.75/1.50 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,C,B,D) ) )),
% 5.75/1.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.75/1.50 fof(f17,axiom,(
% 5.75/1.50 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 5.75/1.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.75/1.50 fof(f40,axiom,(
% 5.75/1.50 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 5.75/1.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.75/1.50 fof(f41,axiom,(
% 5.75/1.50 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 5.75/1.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.75/1.50 fof(f43,axiom,(
% 5.75/1.50 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 5.75/1.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.75/1.50 fof(f44,axiom,(
% 5.75/1.50 (! [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) ) )),
% 5.75/1.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.75/1.50 fof(f58,axiom,(
% 5.75/1.50 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q)& cyclic(A,B,P,Q) )=> perp(P,A,A,Q) ) )),
% 5.75/1.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.75/1.50 fof(f64,axiom,(
% 5.75/1.50 (! [A,B,C,D,M] :( ( midp(M,A,B)& midp(M,C,D) )=> para(A,C,B,D) ) )),
% 5.75/1.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.75/1.50 fof(f67,axiom,(
% 5.75/1.50 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 5.75/1.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.75/1.50 fof(f75,axiom,(
% 5.75/1.50 (! [A,B,C,D,P,Q,U,V] :( ( eqangle(A,B,C,D,P,Q,U,V)& perp(P,Q,U,V) )=> perp(A,B,C,D) ) )),
% 5.75/1.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.75/1.50 fof(f82,axiom,(
% 5.75/1.50 (! [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) ) ) ))),
% 5.75/1.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.75/1.50 fof(f83,axiom,(
% 5.75/1.50 (! [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) ) ))),
% 5.75/1.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.75/1.50 fof(f95,conjecture,(
% 5.75/1.50 (! [A,B,C,D,E,F,G] :( ( perp(D,C,A,B)& coll(D,A,B)& perp(B,C,A,E)& coll(E,C,D)& midp(F,A,E)& midp(G,C,B) )=> perp(D,G,D,F) ) )),
% 5.75/1.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.75/1.50 fof(f96,negated_conjecture,(
% 5.75/1.50 ~((! [A,B,C,D,E,F,G] :( ( perp(D,C,A,B)& coll(D,A,B)& perp(B,C,A,E)& coll(E,C,D)& midp(F,A,E)& midp(G,C,B) )=> perp(D,G,D,F) ) ))),
% 5.75/1.50 inference(negated_conjecture,[status(cth)],[f95])).
% 5.75/1.50 fof(f97,plain,(
% 5.75/1.50 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 5.75/1.50 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 5.75/1.50 fof(f98,plain,(
% 5.75/1.50 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 5.75/1.50 inference(cnf_transformation,[status(thm)],[f97])).
% 5.75/1.50 fof(f99,plain,(
% 5.75/1.50 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 5.75/1.50 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 5.75/1.50 fof(f100,plain,(
% 5.75/1.50 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 5.75/1.50 inference(cnf_transformation,[status(thm)],[f99])).
% 5.75/1.50 fof(f101,plain,(
% 5.75/1.50 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 5.75/1.50 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 5.75/1.50 fof(f102,plain,(
% 5.75/1.50 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 5.75/1.50 inference(miniscoping,[status(thm)],[f101])).
% 5.75/1.50 fof(f103,plain,(
% 5.75/1.50 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 5.75/1.50 inference(cnf_transformation,[status(thm)],[f102])).
% 5.75/1.50 fof(f104,plain,(
% 5.75/1.50 ![A,B,C,D]: (~para(A,B,C,D)|para(A,B,D,C))),
% 5.75/1.50 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 5.75/1.50 fof(f105,plain,(
% 5.75/1.50 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X0,X1,X3,X2))),
% 5.75/1.50 inference(cnf_transformation,[status(thm)],[f104])).
% 5.75/1.50 fof(f106,plain,(
% 5.75/1.50 ![A,B,C,D]: (~para(A,B,C,D)|para(C,D,A,B))),
% 5.75/1.50 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 5.75/1.50 fof(f107,plain,(
% 5.75/1.50 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X2,X3,X0,X1))),
% 5.75/1.50 inference(cnf_transformation,[status(thm)],[f106])).
% 5.75/1.50 fof(f113,plain,(
% 5.75/1.50 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 5.75/1.50 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 5.75/1.50 fof(f114,plain,(
% 5.75/1.50 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 5.75/1.50 inference(cnf_transformation,[status(thm)],[f113])).
% 5.75/1.50 fof(f115,plain,(
% 5.75/1.50 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 5.75/1.50 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 5.75/1.50 fof(f116,plain,(
% 5.75/1.50 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 5.75/1.50 inference(miniscoping,[status(thm)],[f115])).
% 5.75/1.50 fof(f117,plain,(
% 5.75/1.50 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 5.75/1.50 inference(cnf_transformation,[status(thm)],[f116])).
% 5.75/1.50 fof(f121,plain,(
% 5.75/1.50 ![A,B,M]: (~midp(M,B,A)|midp(M,A,B))),
% 5.75/1.50 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 5.75/1.50 fof(f122,plain,(
% 5.75/1.50 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X0,X2,X1))),
% 5.75/1.50 inference(cnf_transformation,[status(thm)],[f121])).
% 5.75/1.50 fof(f128,plain,(
% 5.75/1.50 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,B,D,C))),
% 5.75/1.50 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 5.75/1.50 fof(f129,plain,(
% 5.75/1.50 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X1,X3,X2))),
% 5.75/1.50 inference(cnf_transformation,[status(thm)],[f128])).
% 5.75/1.50 fof(f130,plain,(
% 5.75/1.50 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,C,B,D))),
% 5.75/1.50 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 5.75/1.50 fof(f131,plain,(
% 5.75/1.50 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X2,X1,X3))),
% 5.75/1.50 inference(cnf_transformation,[status(thm)],[f130])).
% 5.75/1.50 fof(f134,plain,(
% 5.75/1.50 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 5.75/1.50 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 5.75/1.50 fof(f135,plain,(
% 5.75/1.50 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 5.75/1.50 inference(miniscoping,[status(thm)],[f134])).
% 5.75/1.50 fof(f136,plain,(
% 5.75/1.50 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 5.75/1.50 inference(cnf_transformation,[status(thm)],[f135])).
% 5.75/1.50 fof(f187,plain,(
% 5.75/1.50 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 5.75/1.50 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 5.75/1.50 fof(f188,plain,(
% 5.75/1.50 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 5.75/1.50 inference(miniscoping,[status(thm)],[f187])).
% 5.75/1.50 fof(f189,plain,(
% 5.75/1.50 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 5.75/1.50 inference(cnf_transformation,[status(thm)],[f188])).
% 5.75/1.50 fof(f190,plain,(
% 5.75/1.50 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 5.75/1.50 inference(pre_NNF_transformation,[status(thm)],[f41])).
% 5.75/1.50 fof(f191,plain,(
% 5.75/1.50 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 5.75/1.50 inference(cnf_transformation,[status(thm)],[f190])).
% 5.75/1.50 fof(f194,plain,(
% 5.75/1.50 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 5.75/1.50 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 5.75/1.50 fof(f195,plain,(
% 5.75/1.50 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 5.75/1.50 inference(cnf_transformation,[status(thm)],[f194])).
% 5.75/1.50 fof(f196,plain,(
% 5.75/1.50 ![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))),
% 5.75/1.50 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 5.75/1.50 fof(f197,plain,(
% 5.75/1.50 ![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))),
% 5.75/1.50 inference(miniscoping,[status(thm)],[f196])).
% 5.75/1.50 fof(f198,plain,(
% 5.75/1.50 ![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))),
% 5.75/1.50 inference(cnf_transformation,[status(thm)],[f197])).
% 5.75/1.50 fof(f233,plain,(
% 5.75/1.50 ![A,B,P,Q]: (((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q))|perp(P,A,A,Q))),
% 5.75/1.50 inference(pre_NNF_transformation,[status(thm)],[f58])).
% 5.75/1.50 fof(f234,plain,(
% 5.75/1.50 ![A,P,Q]: ((![B]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q)))|perp(P,A,A,Q))),
% 5.75/1.50 inference(miniscoping,[status(thm)],[f233])).
% 5.75/1.50 fof(f235,plain,(
% 5.75/1.50 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|~cyclic(X0,X2,X1,X3)|perp(X1,X0,X0,X3))),
% 5.75/1.50 inference(cnf_transformation,[status(thm)],[f234])).
% 5.75/1.50 fof(f247,plain,(
% 5.75/1.50 ![A,B,C,D,M]: ((~midp(M,A,B)|~midp(M,C,D))|para(A,C,B,D))),
% 5.75/1.50 inference(pre_NNF_transformation,[status(thm)],[f64])).
% 5.75/1.50 fof(f248,plain,(
% 5.75/1.50 ![A,B,C,D]: ((![M]: (~midp(M,A,B)|~midp(M,C,D)))|para(A,C,B,D))),
% 5.75/1.50 inference(miniscoping,[status(thm)],[f247])).
% 5.75/1.50 fof(f249,plain,(
% 5.75/1.50 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~midp(X0,X3,X4)|para(X1,X3,X2,X4))),
% 5.75/1.50 inference(cnf_transformation,[status(thm)],[f248])).
% 5.75/1.50 fof(f255,plain,(
% 5.75/1.50 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 5.75/1.50 inference(pre_NNF_transformation,[status(thm)],[f67])).
% 5.75/1.50 fof(f256,plain,(
% 5.75/1.50 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 5.75/1.50 inference(cnf_transformation,[status(thm)],[f255])).
% 5.75/1.50 fof(f272,plain,(
% 5.75/1.50 ![A,B,C,D,P,Q,U,V]: ((~eqangle(A,B,C,D,P,Q,U,V)|~perp(P,Q,U,V))|perp(A,B,C,D))),
% 5.75/1.50 inference(pre_NNF_transformation,[status(thm)],[f75])).
% 5.75/1.50 fof(f273,plain,(
% 5.75/1.50 ![A,B,C,D]: ((![P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|~perp(P,Q,U,V)))|perp(A,B,C,D))),
% 5.75/1.50 inference(miniscoping,[status(thm)],[f272])).
% 5.75/1.50 fof(f274,plain,(
% 5.75/1.50 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|~perp(X4,X5,X6,X7)|perp(X0,X1,X2,X3))),
% 5.75/1.50 inference(cnf_transformation,[status(thm)],[f273])).
% 5.75/1.50 fof(f303,plain,(
% 5.75/1.50 ![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))))),
% 5.75/1.50 inference(pre_NNF_transformation,[status(thm)],[f82])).
% 5.75/1.50 fof(f304,plain,(
% 5.75/1.50 ![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))))),
% 5.75/1.50 inference(miniscoping,[status(thm)],[f303])).
% 5.75/1.50 fof(f305,plain,(
% 5.75/1.50 ![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)))),
% 5.75/1.50 inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(P,sK5_skl(N,M,D,C,B,A))],[f304])).
% 5.75/1.50 fof(f306,plain,(
% 5.75/1.50 ![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))),
% 5.75/1.50 inference(cnf_transformation,[status(thm)],[f305])).
% 5.75/1.50 fof(f309,plain,(
% 5.75/1.50 ![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)))),
% 5.75/1.50 inference(pre_NNF_transformation,[status(thm)],[f83])).
% 5.75/1.50 fof(f310,plain,(
% 5.75/1.50 ![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)))),
% 5.75/1.50 inference(miniscoping,[status(thm)],[f309])).
% 5.75/1.50 fof(f311,plain,(
% 5.75/1.50 ![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)))),
% 5.75/1.50 inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl]),skolemize(P,sK6_skl(Q,A))],[f310])).
% 5.75/1.50 fof(f312,plain,(
% 5.75/1.50 ![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))),
% 5.75/1.50 inference(cnf_transformation,[status(thm)],[f311])).
% 5.75/1.50 fof(f369,plain,(
% 5.75/1.50 (?[A,B,C,D,E,F,G]: ((((((perp(D,C,A,B)&coll(D,A,B))&perp(B,C,A,E))&coll(E,C,D))&midp(F,A,E))&midp(G,C,B))&~perp(D,G,D,F)))),
% 5.75/1.50 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 5.75/1.50 fof(f370,plain,(
% 5.75/1.50 ?[D,F,G]: ((?[B,C]: ((?[A,E]: ((((perp(D,C,A,B)&coll(D,A,B))&perp(B,C,A,E))&coll(E,C,D))&midp(F,A,E)))&midp(G,C,B)))&~perp(D,G,D,F))),
% 5.75/1.50 inference(miniscoping,[status(thm)],[f369])).
% 5.75/1.50 fof(f371,plain,(
% 5.75/1.50 ((((((perp(sK20_skl,sK24_skl,sK25_skl,sK23_skl)&coll(sK20_skl,sK25_skl,sK23_skl))&perp(sK23_skl,sK24_skl,sK25_skl,sK26_skl))&coll(sK26_skl,sK24_skl,sK20_skl))&midp(sK21_skl,sK25_skl,sK26_skl))&midp(sK22_skl,sK24_skl,sK23_skl))&~perp(sK20_skl,sK22_skl,sK20_skl,sK21_skl))),
% 5.75/1.50 inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl,sK21_skl,sK22_skl,sK23_skl,sK24_skl,sK25_skl,sK26_skl]),skolemize(D,sK20_skl),skolemize(F,sK21_skl),skolemize(G,sK22_skl),skolemize(B,sK23_skl),skolemize(C,sK24_skl),skolemize(A,sK25_skl),skolemize(E,sK26_skl)],[f370])).
% 5.75/1.50 fof(f374,plain,(
% 5.75/1.50 perp(sK23_skl,sK24_skl,sK25_skl,sK26_skl)),
% 5.75/1.50 inference(cnf_transformation,[status(thm)],[f371])).
% 5.75/1.50 fof(f377,plain,(
% 5.75/1.50 midp(sK22_skl,sK24_skl,sK23_skl)),
% 5.75/1.50 inference(cnf_transformation,[status(thm)],[f371])).
% 5.75/1.50 fof(f378,plain,(
% 5.75/1.50 ~perp(sK20_skl,sK22_skl,sK20_skl,sK21_skl)),
% 5.75/1.50 inference(cnf_transformation,[status(thm)],[f371])).
% 5.75/1.50 fof(f393,plain,(
% 5.75/1.50 perp(sK25_skl,sK26_skl,sK23_skl,sK24_skl)),
% 5.75/1.50 inference(resolution,[status(thm)],[f114,f374])).
% 5.75/1.50 fof(f395,plain,(
% 5.75/1.50 ![X0,X1]: (~perp(sK25_skl,sK26_skl,X0,X1)|para(sK23_skl,sK24_skl,X0,X1))),
% 5.75/1.50 inference(resolution,[status(thm)],[f117,f374])).
% 5.75/1.50 fof(f409,plain,(
% 5.75/1.50 midp(sK22_skl,sK23_skl,sK24_skl)),
% 5.75/1.50 inference(resolution,[status(thm)],[f122,f377])).
% 5.75/1.50 fof(f501,plain,(
% 5.75/1.50 para(sK23_skl,sK24_skl,sK23_skl,sK24_skl)),
% 5.75/1.50 inference(resolution,[status(thm)],[f395,f393])).
% 5.75/1.50 fof(f649,plain,(
% 5.75/1.50 ![X0,X1]: (eqangle(sK23_skl,sK24_skl,X0,X1,sK23_skl,sK24_skl,X0,X1))),
% 5.75/1.50 inference(resolution,[status(thm)],[f501,f189])).
% 5.75/1.50 fof(f749,plain,(
% 5.75/1.50 coll(sK23_skl,sK24_skl,sK24_skl)),
% 5.75/1.50 inference(resolution,[status(thm)],[f256,f501])).
% 5.75/1.50 fof(f867,plain,(
% 5.75/1.50 coll(sK24_skl,sK23_skl,sK24_skl)),
% 5.75/1.50 inference(resolution,[status(thm)],[f749,f100])).
% 5.75/1.50 fof(f883,plain,(
% 5.75/1.50 coll(sK24_skl,sK24_skl,sK23_skl)),
% 5.75/1.50 inference(resolution,[status(thm)],[f867,f98])).
% 5.75/1.50 fof(f1042,plain,(
% 5.75/1.50 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(sK5_skl(X0,sK22_skl,X2,X1,sK23_skl,sK24_skl),sK24_skl,X2))),
% 5.75/1.50 inference(resolution,[status(thm)],[f306,f377])).
% 5.75/1.50 fof(f1060,plain,(
% 5.75/1.50 midp(sK5_skl(sK22_skl,sK22_skl,sK24_skl,sK23_skl,sK23_skl,sK24_skl),sK24_skl,sK24_skl)),
% 5.75/1.50 inference(resolution,[status(thm)],[f1042,f409])).
% 5.75/1.50 fof(f1103,plain,(
% 5.75/1.50 ![X0,X1,X2,X3]: (~midp(X0,X1,X2)|~coll(X1,sK24_skl,sK23_skl)|~coll(X2,sK24_skl,sK23_skl)|midp(sK6_skl(X3,sK24_skl),sK24_skl,X3))),
% 5.75/1.50 inference(resolution,[status(thm)],[f312,f377])).
% 5.75/1.50 fof(f1113,definition,(
% 5.75/1.50 ![X0,X1,X2]: (sQ68_spl <=> (~midp(X0,X1,X2)|~coll(X1,sK24_skl,sK23_skl)|~coll(X2,sK24_skl,sK23_skl)))),
% 5.75/1.50 introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition])).
% 5.75/1.50 fof(f1114,plain,(
% 5.75/1.50 ![X0,X1,X2]: (~midp(X0,X1,X2)|~coll(X1,sK24_skl,sK23_skl)|~coll(X2,sK24_skl,sK23_skl)|~sQ68_spl)),
% 5.75/1.50 inference(component_clause,[status(thm)],[f1113])).
% 5.75/1.50 fof(f1116,definition,(
% 5.75/1.50 ![X3]: (sQ69_spl <=> (midp(sK6_skl(X3,sK24_skl),sK24_skl,X3)))),
% 5.75/1.50 introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition])).
% 5.75/1.50 fof(f1117,plain,(
% 5.75/1.50 ![X0]: (midp(sK6_skl(X0,sK24_skl),sK24_skl,X0)|~sQ69_spl)),
% 5.75/1.50 inference(component_clause,[status(thm)],[f1116])).
% 5.75/1.50 fof(f1119,plain,(
% 5.75/1.50 sQ68_spl|sQ69_spl),
% 5.75/1.50 inference(split_clause,[status(thm)],[f1103,f1113,f1116])).
% 5.75/1.50 fof(f1207,definition,(
% 5.75/1.50 sQ83_spl <=> (coll(sK24_skl,sK24_skl,sK23_skl))),
% 5.75/1.50 introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition])).
% 5.75/1.50 fof(f1209,plain,(
% 5.75/1.50 ~coll(sK24_skl,sK24_skl,sK23_skl)|sQ83_spl),
% 5.75/1.50 inference(component_clause,[status(thm)],[f1207])).
% 5.75/1.50 fof(f1834,plain,(
% 5.75/1.50 ~coll(sK24_skl,sK24_skl,sK23_skl)|~coll(sK24_skl,sK24_skl,sK23_skl)|~sQ68_spl),
% 5.75/1.50 inference(resolution,[status(thm)],[f1060,f1114])).
% 5.75/1.50 fof(f1858,plain,(
% 5.75/1.50 ~sQ83_spl|~sQ68_spl),
% 5.75/1.50 inference(split_clause,[status(thm)],[f1834,f1207,f1113])).
% 5.75/1.50 fof(f1865,plain,(
% 5.75/1.50 $false|sQ83_spl),
% 5.75/1.50 inference(forward_subsumption_resolution,[status(thm)],[f1209,f883])).
% 5.75/1.50 fof(f1866,plain,(
% 5.75/1.50 sQ83_spl),
% 5.75/1.50 inference(contradiction_clause,[status(thm)],[f1865])).
% 5.75/1.50 fof(f1893,plain,(
% 5.75/1.50 ![X0,X1,X2]: (~midp(sK6_skl(X0,sK24_skl),X1,X2)|para(sK24_skl,X1,X0,X2)|~sQ69_spl)),
% 5.75/1.50 inference(resolution,[status(thm)],[f1117,f249])).
% 5.75/1.50 fof(f1898,plain,(
% 5.75/1.50 ![X0]: (midp(sK6_skl(X0,sK24_skl),X0,sK24_skl)|~sQ69_spl)),
% 5.75/1.50 inference(resolution,[status(thm)],[f1117,f122])).
% 5.75/1.50 fof(f2895,plain,(
% 5.75/1.50 ![X0]: (para(sK24_skl,X0,X0,sK24_skl)|~sQ69_spl)),
% 5.75/1.50 inference(resolution,[status(thm)],[f1898,f1893])).
% 5.75/1.50 fof(f2969,plain,(
% 5.75/1.50 ![X0]: (para(X0,sK24_skl,sK24_skl,X0)|~sQ69_spl)),
% 5.75/1.50 inference(resolution,[status(thm)],[f2895,f107])).
% 5.75/1.50 fof(f3012,plain,(
% 5.75/1.50 ![X0]: (para(X0,sK24_skl,X0,sK24_skl)|~sQ69_spl)),
% 5.75/1.50 inference(resolution,[status(thm)],[f2969,f105])).
% 5.75/1.50 fof(f3316,plain,(
% 5.75/1.50 ![X0]: (coll(X0,sK24_skl,sK24_skl)|~sQ69_spl)),
% 5.75/1.50 inference(resolution,[status(thm)],[f3012,f256])).
% 5.75/1.50 fof(f3403,plain,(
% 5.75/1.50 ![X0]: (coll(sK24_skl,X0,sK24_skl)|~sQ69_spl)),
% 5.75/1.50 inference(resolution,[status(thm)],[f3316,f100])).
% 5.75/1.50 fof(f3431,plain,(
% 5.75/1.50 ![X0]: (coll(sK24_skl,sK24_skl,X0)|~sQ69_spl)),
% 5.75/1.50 inference(resolution,[status(thm)],[f3403,f98])).
% 5.75/1.50 fof(f3438,plain,(
% 5.75/1.50 ![X0,X1]: (~coll(sK24_skl,sK24_skl,X0)|coll(X1,X0,sK24_skl)|~sQ69_spl)),
% 5.75/1.50 inference(resolution,[status(thm)],[f3431,f103])).
% 5.75/1.50 fof(f3441,plain,(
% 5.75/1.50 ![X0,X1]: (coll(X0,X1,sK24_skl)|~sQ69_spl)),
% 5.75/1.50 inference(forward_subsumption_resolution,[status(thm)],[f3438,f3431])).
% 5.75/1.50 fof(f3551,plain,(
% 5.75/1.50 ![X0,X1]: (coll(X0,sK24_skl,X1)|~sQ69_spl)),
% 5.75/1.50 inference(resolution,[status(thm)],[f3441,f98])).
% 5.75/1.50 fof(f3573,plain,(
% 5.75/1.50 ![X0,X1,X2]: (~coll(X0,sK24_skl,X1)|coll(X2,X1,X0)|~sQ69_spl)),
% 5.75/1.50 inference(resolution,[status(thm)],[f3551,f103])).
% 5.75/1.50 fof(f3576,plain,(
% 5.75/1.50 ![X0,X1,X2]: (coll(X0,X1,X2)|~sQ69_spl)),
% 5.75/1.50 inference(forward_subsumption_resolution,[status(thm)],[f3573,f3551])).
% 5.75/1.50 fof(f3587,plain,(
% 5.75/1.50 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|cyclic(X1,X2,X0,X3)|~sQ69_spl)),
% 5.75/1.50 inference(backward_subsumption_resolution,[status(thm)],[f195,f3576])).
% 5.75/1.50 fof(f5028,plain,(
% 5.75/1.50 ![X0]: (cyclic(sK24_skl,X0,sK23_skl,sK23_skl)|~sQ69_spl)),
% 5.75/1.50 inference(resolution,[status(thm)],[f649,f3587])).
% 5.75/1.50 fof(f5072,plain,(
% 5.75/1.50 ![X0]: (cyclic(sK24_skl,sK23_skl,X0,sK23_skl)|~sQ69_spl)),
% 5.75/1.50 inference(resolution,[status(thm)],[f5028,f131])).
% 5.75/1.50 fof(f5141,plain,(
% 5.75/1.50 ![X0]: (cyclic(sK24_skl,sK23_skl,sK23_skl,X0)|~sQ69_spl)),
% 5.75/1.50 inference(resolution,[status(thm)],[f5072,f129])).
% 5.75/1.50 fof(f5220,plain,(
% 5.75/1.50 ![X0,X1]: (~cyclic(sK24_skl,sK23_skl,sK23_skl,X0)|cyclic(sK23_skl,sK23_skl,X1,X0)|~sQ69_spl)),
% 5.75/1.50 inference(resolution,[status(thm)],[f5141,f136])).
% 5.75/1.50 fof(f5231,plain,(
% 5.75/1.50 ![X0,X1]: (cyclic(sK23_skl,sK23_skl,X0,X1)|~sQ69_spl)),
% 5.75/1.50 inference(forward_subsumption_resolution,[status(thm)],[f5220,f5141])).
% 5.75/1.50 fof(f5242,plain,(
% 5.75/1.50 ![X0,X1,X2]: (~cyclic(sK23_skl,sK23_skl,X0,X1)|cyclic(sK23_skl,X0,X2,X1)|~sQ69_spl)),
% 5.75/1.50 inference(resolution,[status(thm)],[f5231,f136])).
% 5.75/1.50 fof(f5253,plain,(
% 5.75/1.50 ![X0,X1,X2]: (cyclic(sK23_skl,X0,X1,X2)|~sQ69_spl)),
% 5.75/1.50 inference(forward_subsumption_resolution,[status(thm)],[f5242,f5231])).
% 5.75/1.50 fof(f5377,plain,(
% 5.75/1.50 ![X0,X1,X2,X3]: (~cyclic(sK23_skl,X0,X1,X2)|cyclic(X0,X1,X3,X2)|~sQ69_spl)),
% 5.75/1.50 inference(resolution,[status(thm)],[f5253,f136])).
% 5.75/1.50 fof(f5381,plain,(
% 5.75/1.50 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3)|~sQ69_spl)),
% 5.75/1.50 inference(forward_subsumption_resolution,[status(thm)],[f5377,f5253])).
% 5.75/1.50 fof(f5393,plain,(
% 5.75/1.50 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X1,X0,X0,X3)|~sQ69_spl)),
% 5.75/1.50 inference(backward_subsumption_resolution,[status(thm)],[f235,f5381])).
% 5.75/1.50 fof(f5394,plain,(
% 5.75/1.50 ![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)|~sQ69_spl)),
% 5.75/1.50 inference(backward_subsumption_resolution,[status(thm)],[f198,f5381])).
% 5.75/1.50 fof(f5397,plain,(
% 5.75/1.50 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~sQ69_spl)),
% 5.75/1.50 inference(backward_subsumption_resolution,[status(thm)],[f191,f5381])).
% 5.75/1.50 fof(f5398,plain,(
% 5.75/1.50 ![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)|~sQ69_spl)),
% 5.75/1.50 inference(forward_subsumption_resolution,[status(thm)],[f5394,f5381])).
% 5.75/1.50 fof(f5406,plain,(
% 5.75/1.50 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X0,X2,X3,X4,X3,X5)|cong(X1,X2,X4,X5)|~sQ69_spl)),
% 5.75/1.50 inference(forward_subsumption_resolution,[status(thm)],[f5398,f5381])).
% 5.75/1.50 fof(f5645,plain,(
% 5.75/1.50 ![X0,X1]: (cong(X0,X1,X0,X1)|~sQ69_spl)),
% 5.75/1.50 inference(resolution,[status(thm)],[f5397,f5406])).
% 5.75/1.50 fof(f5647,plain,(
% 5.75/1.50 ![X0,X1,X2,X3]: (~perp(X0,X1,X0,X2)|perp(X3,X1,X3,X2)|~sQ69_spl)),
% 2.31/1.53 inference(resolution,[status(thm)],[f5397,f274])).
% 2.31/1.53 fof(f5666,plain,(
% 2.31/1.53 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X2,X0,X0,X1)|~sQ69_spl)),
% 2.31/1.53 inference(resolution,[status(thm)],[f5645,f5393])).
% 2.31/1.53 fof(f5678,plain,(
% 2.31/1.53 ![X0,X1,X2]: (perp(X0,X1,X1,X2)|~sQ69_spl)),
% 2.31/1.53 inference(forward_subsumption_resolution,[status(thm)],[f5666,f5645])).
% 2.31/1.53 fof(f5886,plain,(
% 2.31/1.53 ![X0,X1,X2]: (perp(X0,X1,X0,X2)|~sQ69_spl)),
% 2.31/1.53 inference(resolution,[status(thm)],[f5678,f5647])).
% 2.31/1.53 fof(f6187,plain,(
% 2.31/1.53 $false|~sQ69_spl),
% 2.31/1.53 inference(backward_subsumption_resolution,[status(thm)],[f378,f5886])).
% 2.31/1.53 fof(f6205,plain,(
% 2.31/1.53 ~sQ69_spl),
% 2.31/1.53 inference(contradiction_clause,[status(thm)],[f6187])).
% 2.31/1.53 fof(f6206,plain,(
% 2.31/1.53 $false),
% 2.31/1.53 inference(sat_refutation,[status(thm)],[f1119,f1858,f1866,f6205])).
% 2.31/1.53 % SZS output end CNFRefutation for theBenchmark.p
% 2.31/1.53 % Elapsed time: 1.073143 seconds
% 2.31/1.53 % CPU time: 8.095381 seconds
% 2.31/1.53 % Total memory used: 129.809 MB
% 2.31/1.53 % Net memory used: 123.364 MB
%------------------------------------------------------------------------------