%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO587+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 : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:26:41 PM UTC 2026
% Result : Theorem 9.38s 1.71s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO587+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n009.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 17:40:28 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.14/0.38 % Drodi V4.1.1
% 9.38/1.71 % Refutation found
% 9.38/1.71 % SZS status Theorem for theBenchmark: Theorem is valid
% 9.38/1.71 % SZS output start CNFRefutation for theBenchmark
% 9.38/1.71 fof(f1,axiom,(
% 9.38/1.71 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 9.38/1.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.38/1.71 fof(f2,axiom,(
% 9.38/1.71 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 9.38/1.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.38/1.71 fof(f3,axiom,(
% 9.38/1.71 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 9.38/1.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.38/1.71 fof(f4,axiom,(
% 9.38/1.71 (! [A,B,C,D] :( para(A,B,C,D)=> para(A,B,D,C) ) )),
% 9.38/1.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.38/1.71 fof(f5,axiom,(
% 9.38/1.71 (! [A,B,C,D] :( para(A,B,C,D)=> para(C,D,A,B) ) )),
% 9.38/1.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.38/1.71 fof(f8,axiom,(
% 9.38/1.71 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 9.38/1.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.38/1.71 fof(f9,axiom,(
% 9.38/1.71 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 9.38/1.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.38/1.71 fof(f11,axiom,(
% 9.38/1.71 (! [A,B,M] :( midp(M,B,A)=> midp(M,A,B) ) )),
% 9.38/1.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.38/1.71 fof(f14,axiom,(
% 9.38/1.71 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,B,D,C) ) )),
% 9.38/1.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.38/1.71 fof(f15,axiom,(
% 9.38/1.71 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,C,B,D) ) )),
% 9.38/1.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.38/1.71 fof(f17,axiom,(
% 9.38/1.71 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 9.38/1.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.38/1.71 fof(f20,axiom,(
% 9.38/1.71 (! [A,B,C,D,P,Q,U,V] :( eqangle(A,B,C,D,P,Q,U,V)=> eqangle(P,Q,U,V,A,B,C,D) ) )),
% 9.38/1.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.38/1.71 fof(f21,axiom,(
% 9.38/1.71 (! [A,B,C,D,P,Q,U,V] :( eqangle(A,B,C,D,P,Q,U,V)=> eqangle(A,B,P,Q,C,D,U,V) ) )),
% 9.38/1.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.38/1.71 fof(f29,axiom,(
% 9.38/1.71 (! [A,B,C,D,P,Q,U,V] :( eqratio(A,B,C,D,P,Q,U,V)=> eqratio(A,B,P,Q,C,D,U,V) ) )),
% 9.38/1.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.38/1.71 fof(f40,axiom,(
% 9.38/1.71 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 9.38/1.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.38/1.71 fof(f41,axiom,(
% 9.38/1.71 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 9.38/1.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.38/1.71 fof(f43,axiom,(
% 9.38/1.71 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 9.38/1.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.38/1.71 fof(f44,axiom,(
% 9.38/1.71 (! [A,B,C,P,Q,R] :( ( cyclic(A,B,C,P)& cyclic(A,B,C,Q)& cyclic(A,B,C,R)& eqangle(C,A,C,B,R,P,R,Q) )=> cong(A,B,P,Q) ) )),
% 9.38/1.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.38/1.71 fof(f45,axiom,(
% 9.38/1.71 (! [A,B,C,E,F] :( ( midp(E,A,B)& midp(F,A,C) )=> para(E,F,B,C) ) )),
% 9.38/1.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.38/1.71 fof(f66,axiom,(
% 9.38/1.71 (! [A,B,C,D,O] :( ( para(A,B,C,D)& coll(O,A,C)& coll(O,B,D) )=> eqratio(O,A,A,C,O,B,B,D) ) )),
% 9.38/1.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.38/1.71 fof(f67,axiom,(
% 9.38/1.71 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 9.38/1.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.38/1.71 fof(f74,axiom,(
% 9.38/1.71 (! [A,B,C,D,P,Q,U,V] :( ( eqangle(A,B,C,D,P,Q,U,V)& para(P,Q,U,V) )=> para(A,B,C,D) ) )),
% 9.38/1.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.38/1.71 fof(f76,axiom,(
% 9.38/1.71 (! [A,B,C,D,P,Q,U,V] :( ( eqratio(A,B,C,D,P,Q,U,V)& cong(P,Q,U,V) )=> cong(A,B,C,D) ) )),
% 9.38/1.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.38/1.71 fof(f95,conjecture,(
% 9.38/1.71 (! [A,C,B,D,P,Q,R,S,O] :( ( perp(A,C,B,D)& midp(P,B,A)& midp(Q,C,B)& midp(R,D,C)& midp(S,A,D)& coll(O,P,R)& coll(O,Q,S) )=> cong(O,S,O,R) ) )),
% 9.38/1.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.38/1.71 fof(f96,negated_conjecture,(
% 9.38/1.71 ~((! [A,C,B,D,P,Q,R,S,O] :( ( perp(A,C,B,D)& midp(P,B,A)& midp(Q,C,B)& midp(R,D,C)& midp(S,A,D)& coll(O,P,R)& coll(O,Q,S) )=> cong(O,S,O,R) ) ))),
% 9.38/1.71 inference(negated_conjecture,[status(cth)],[f95])).
% 9.38/1.71 fof(f97,plain,(
% 9.38/1.71 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 9.38/1.71 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 9.38/1.71 fof(f98,plain,(
% 9.38/1.71 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 9.38/1.71 inference(cnf_transformation,[status(thm)],[f97])).
% 9.38/1.71 fof(f99,plain,(
% 9.38/1.71 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 9.38/1.71 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 9.38/1.71 fof(f100,plain,(
% 9.38/1.71 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 9.38/1.71 inference(cnf_transformation,[status(thm)],[f99])).
% 9.38/1.71 fof(f101,plain,(
% 9.38/1.71 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 9.38/1.71 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 9.38/1.71 fof(f102,plain,(
% 9.38/1.71 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 9.38/1.71 inference(miniscoping,[status(thm)],[f101])).
% 9.38/1.71 fof(f103,plain,(
% 9.38/1.71 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 9.38/1.71 inference(cnf_transformation,[status(thm)],[f102])).
% 9.38/1.71 fof(f104,plain,(
% 9.38/1.71 ![A,B,C,D]: (~para(A,B,C,D)|para(A,B,D,C))),
% 9.38/1.71 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 9.38/1.71 fof(f105,plain,(
% 9.38/1.71 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X0,X1,X3,X2))),
% 9.38/1.71 inference(cnf_transformation,[status(thm)],[f104])).
% 9.38/1.71 fof(f106,plain,(
% 9.38/1.71 ![A,B,C,D]: (~para(A,B,C,D)|para(C,D,A,B))),
% 9.38/1.71 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 9.38/1.71 fof(f107,plain,(
% 9.38/1.71 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X2,X3,X0,X1))),
% 9.38/1.71 inference(cnf_transformation,[status(thm)],[f106])).
% 9.38/1.71 fof(f113,plain,(
% 9.38/1.71 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 9.38/1.71 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 9.38/1.71 fof(f114,plain,(
% 9.38/1.71 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 9.38/1.71 inference(cnf_transformation,[status(thm)],[f113])).
% 9.38/1.71 fof(f115,plain,(
% 9.38/1.71 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 9.38/1.71 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 9.38/1.71 fof(f116,plain,(
% 9.38/1.71 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 9.38/1.71 inference(miniscoping,[status(thm)],[f115])).
% 9.38/1.71 fof(f117,plain,(
% 9.38/1.71 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 9.38/1.71 inference(cnf_transformation,[status(thm)],[f116])).
% 9.38/1.71 fof(f121,plain,(
% 9.38/1.71 ![A,B,M]: (~midp(M,B,A)|midp(M,A,B))),
% 9.38/1.71 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 9.38/1.71 fof(f122,plain,(
% 9.38/1.71 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X0,X2,X1))),
% 9.38/1.71 inference(cnf_transformation,[status(thm)],[f121])).
% 9.38/1.71 fof(f128,plain,(
% 9.38/1.71 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,B,D,C))),
% 9.38/1.71 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 9.38/1.71 fof(f129,plain,(
% 9.38/1.71 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X1,X3,X2))),
% 9.38/1.71 inference(cnf_transformation,[status(thm)],[f128])).
% 9.38/1.71 fof(f130,plain,(
% 9.38/1.71 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,C,B,D))),
% 9.38/1.71 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 9.38/1.71 fof(f131,plain,(
% 9.38/1.71 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X2,X1,X3))),
% 9.38/1.71 inference(cnf_transformation,[status(thm)],[f130])).
% 9.38/1.71 fof(f134,plain,(
% 9.38/1.71 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 9.38/1.71 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 9.38/1.71 fof(f135,plain,(
% 9.38/1.71 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 9.38/1.71 inference(miniscoping,[status(thm)],[f134])).
% 9.38/1.71 fof(f136,plain,(
% 9.38/1.71 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 9.38/1.71 inference(cnf_transformation,[status(thm)],[f135])).
% 9.38/1.71 fof(f141,plain,(
% 9.38/1.71 ![A,B,C,D,P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|eqangle(P,Q,U,V,A,B,C,D))),
% 9.38/1.71 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 9.38/1.71 fof(f142,plain,(
% 9.38/1.71 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|eqangle(X4,X5,X6,X7,X0,X1,X2,X3))),
% 9.38/1.71 inference(cnf_transformation,[status(thm)],[f141])).
% 9.38/1.71 fof(f143,plain,(
% 9.38/1.71 ![A,B,C,D,P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|eqangle(A,B,P,Q,C,D,U,V))),
% 9.38/1.71 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 9.38/1.71 fof(f144,plain,(
% 9.38/1.71 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|eqangle(X0,X1,X4,X5,X2,X3,X6,X7))),
% 9.38/1.71 inference(cnf_transformation,[status(thm)],[f143])).
% 9.38/1.71 fof(f161,plain,(
% 9.38/1.71 ![A,B,C,D,P,Q,U,V]: (~eqratio(A,B,C,D,P,Q,U,V)|eqratio(A,B,P,Q,C,D,U,V))),
% 9.38/1.71 inference(pre_NNF_transformation,[status(thm)],[f29])).
% 9.38/1.71 fof(f162,plain,(
% 9.38/1.71 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqratio(X0,X1,X2,X3,X4,X5,X6,X7)|eqratio(X0,X1,X4,X5,X2,X3,X6,X7))),
% 9.38/1.71 inference(cnf_transformation,[status(thm)],[f161])).
% 9.38/1.71 fof(f187,plain,(
% 9.38/1.71 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 9.38/1.71 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 9.38/1.71 fof(f188,plain,(
% 9.38/1.71 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 9.38/1.71 inference(miniscoping,[status(thm)],[f187])).
% 9.38/1.71 fof(f189,plain,(
% 9.38/1.71 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 9.38/1.71 inference(cnf_transformation,[status(thm)],[f188])).
% 9.38/1.71 fof(f190,plain,(
% 9.38/1.71 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 9.38/1.71 inference(pre_NNF_transformation,[status(thm)],[f41])).
% 9.38/1.71 fof(f191,plain,(
% 9.38/1.71 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 9.38/1.71 inference(cnf_transformation,[status(thm)],[f190])).
% 9.38/1.71 fof(f194,plain,(
% 9.38/1.71 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 9.38/1.71 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 9.38/1.71 fof(f195,plain,(
% 9.38/1.71 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 9.38/1.71 inference(cnf_transformation,[status(thm)],[f194])).
% 9.38/1.71 fof(f196,plain,(
% 9.38/1.71 ![A,B,C,P,Q,R]: ((((~cyclic(A,B,C,P)|~cyclic(A,B,C,Q))|~cyclic(A,B,C,R))|~eqangle(C,A,C,B,R,P,R,Q))|cong(A,B,P,Q))),
% 9.38/1.71 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 9.38/1.71 fof(f197,plain,(
% 9.38/1.71 ![A,B,P,Q]: ((![C,R]: (((~cyclic(A,B,C,P)|~cyclic(A,B,C,Q))|~cyclic(A,B,C,R))|~eqangle(C,A,C,B,R,P,R,Q)))|cong(A,B,P,Q))),
% 9.38/1.71 inference(miniscoping,[status(thm)],[f196])).
% 9.38/1.71 fof(f198,plain,(
% 9.38/1.71 ![X0,X1,X2,X3,X4,X5]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|~cyclic(X0,X1,X2,X5)|~eqangle(X2,X0,X2,X1,X5,X3,X5,X4)|cong(X0,X1,X3,X4))),
% 9.38/1.71 inference(cnf_transformation,[status(thm)],[f197])).
% 9.38/1.71 fof(f199,plain,(
% 9.38/1.71 ![A,B,C,E,F]: ((~midp(E,A,B)|~midp(F,A,C))|para(E,F,B,C))),
% 9.38/1.71 inference(pre_NNF_transformation,[status(thm)],[f45])).
% 9.38/1.71 fof(f200,plain,(
% 9.38/1.71 ![B,C,E,F]: ((![A]: (~midp(E,A,B)|~midp(F,A,C)))|para(E,F,B,C))),
% 9.38/1.71 inference(miniscoping,[status(thm)],[f199])).
% 9.38/1.71 fof(f201,plain,(
% 9.38/1.71 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~midp(X3,X1,X4)|para(X0,X3,X2,X4))),
% 9.38/1.71 inference(cnf_transformation,[status(thm)],[f200])).
% 9.38/1.71 fof(f253,plain,(
% 9.38/1.71 ![A,B,C,D,O]: (((~para(A,B,C,D)|~coll(O,A,C))|~coll(O,B,D))|eqratio(O,A,A,C,O,B,B,D))),
% 9.38/1.71 inference(pre_NNF_transformation,[status(thm)],[f66])).
% 9.38/1.71 fof(f254,plain,(
% 9.38/1.71 ![X0,X1,X2,X3,X4]: (~para(X0,X1,X2,X3)|~coll(X4,X0,X2)|~coll(X4,X1,X3)|eqratio(X4,X0,X0,X2,X4,X1,X1,X3))),
% 9.38/1.71 inference(cnf_transformation,[status(thm)],[f253])).
% 9.38/1.71 fof(f255,plain,(
% 9.38/1.71 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 9.38/1.71 inference(pre_NNF_transformation,[status(thm)],[f67])).
% 9.38/1.71 fof(f256,plain,(
% 9.38/1.71 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 9.38/1.71 inference(cnf_transformation,[status(thm)],[f255])).
% 9.38/1.71 fof(f269,plain,(
% 9.38/1.71 ![A,B,C,D,P,Q,U,V]: ((~eqangle(A,B,C,D,P,Q,U,V)|~para(P,Q,U,V))|para(A,B,C,D))),
% 9.38/1.71 inference(pre_NNF_transformation,[status(thm)],[f74])).
% 9.38/1.71 fof(f270,plain,(
% 9.38/1.71 ![A,B,C,D]: ((![P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|~para(P,Q,U,V)))|para(A,B,C,D))),
% 9.38/1.71 inference(miniscoping,[status(thm)],[f269])).
% 9.38/1.71 fof(f271,plain,(
% 9.38/1.71 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|~para(X4,X5,X6,X7)|para(X0,X1,X2,X3))),
% 9.38/1.71 inference(cnf_transformation,[status(thm)],[f270])).
% 9.38/1.71 fof(f275,plain,(
% 9.38/1.71 ![A,B,C,D,P,Q,U,V]: ((~eqratio(A,B,C,D,P,Q,U,V)|~cong(P,Q,U,V))|cong(A,B,C,D))),
% 9.38/1.71 inference(pre_NNF_transformation,[status(thm)],[f76])).
% 9.38/1.71 fof(f276,plain,(
% 9.38/1.71 ![A,B,C,D]: ((![P,Q,U,V]: (~eqratio(A,B,C,D,P,Q,U,V)|~cong(P,Q,U,V)))|cong(A,B,C,D))),
% 9.38/1.71 inference(miniscoping,[status(thm)],[f275])).
% 9.38/1.71 fof(f277,plain,(
% 9.38/1.71 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqratio(X0,X1,X2,X3,X4,X5,X6,X7)|~cong(X4,X5,X6,X7)|cong(X0,X1,X2,X3))),
% 9.38/1.71 inference(cnf_transformation,[status(thm)],[f276])).
% 9.38/1.71 fof(f369,plain,(
% 9.38/1.71 (?[A,C,B,D,P,Q,R,S,O]: (((((((perp(A,C,B,D)&midp(P,B,A))&midp(Q,C,B))&midp(R,D,C))&midp(S,A,D))&coll(O,P,R))&coll(O,Q,S))&~cong(O,S,O,R)))),
% 9.38/1.71 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 9.38/1.71 fof(f370,plain,(
% 9.38/1.71 ?[R,S,O]: ((?[Q]: ((?[P]: ((?[A,D]: ((?[C]: ((?[B]: ((perp(A,C,B,D)&midp(P,B,A))&midp(Q,C,B)))&midp(R,D,C)))&midp(S,A,D)))&coll(O,P,R)))&coll(O,Q,S)))&~cong(O,S,O,R))),
% 9.38/1.71 inference(miniscoping,[status(thm)],[f369])).
% 9.38/1.71 fof(f371,plain,(
% 9.38/1.71 (((((((perp(sK25_skl,sK27_skl,sK28_skl,sK26_skl)&midp(sK24_skl,sK28_skl,sK25_skl))&midp(sK23_skl,sK27_skl,sK28_skl))&midp(sK20_skl,sK26_skl,sK27_skl))&midp(sK21_skl,sK25_skl,sK26_skl))&coll(sK22_skl,sK24_skl,sK20_skl))&coll(sK22_skl,sK23_skl,sK21_skl))&~cong(sK22_skl,sK21_skl,sK22_skl,sK20_skl))),
% 9.38/1.71 inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl,sK21_skl,sK22_skl,sK23_skl,sK24_skl,sK25_skl,sK26_skl,sK27_skl,sK28_skl]),skolemize(R,sK20_skl),skolemize(S,sK21_skl),skolemize(O,sK22_skl),skolemize(Q,sK23_skl),skolemize(P,sK24_skl),skolemize(A,sK25_skl),skolemize(D,sK26_skl),skolemize(C,sK27_skl),skolemize(B,sK28_skl)],[f370])).
% 9.38/1.71 fof(f372,plain,(
% 9.38/1.71 perp(sK25_skl,sK27_skl,sK28_skl,sK26_skl)),
% 9.38/1.71 inference(cnf_transformation,[status(thm)],[f371])).
% 9.38/1.71 fof(f373,plain,(
% 9.38/1.71 midp(sK24_skl,sK28_skl,sK25_skl)),
% 9.38/1.71 inference(cnf_transformation,[status(thm)],[f371])).
% 9.38/1.71 fof(f376,plain,(
% 9.38/1.71 midp(sK21_skl,sK25_skl,sK26_skl)),
% 9.38/1.71 inference(cnf_transformation,[status(thm)],[f371])).
% 9.38/1.71 fof(f379,plain,(
% 9.38/1.71 ~cong(sK22_skl,sK21_skl,sK22_skl,sK20_skl)),
% 9.38/1.71 inference(cnf_transformation,[status(thm)],[f371])).
% 9.38/1.71 fof(f420,plain,(
% 9.38/1.71 midp(sK24_skl,sK25_skl,sK28_skl)),
% 9.38/1.71 inference(resolution,[status(thm)],[f122,f373])).
% 9.38/1.71 fof(f496,plain,(
% 9.38/1.71 perp(sK28_skl,sK26_skl,sK25_skl,sK27_skl)),
% 9.38/1.71 inference(resolution,[status(thm)],[f114,f372])).
% 9.38/1.71 fof(f515,plain,(
% 9.38/1.71 ![X0,X1]: (~midp(X0,sK25_skl,X1)|para(X0,sK21_skl,X1,sK26_skl))),
% 9.38/1.71 inference(resolution,[status(thm)],[f201,f376])).
% 9.38/1.71 fof(f536,plain,(
% 9.38/1.71 ![X0,X1]: (~perp(X0,X1,sK25_skl,sK27_skl)|para(X0,X1,sK28_skl,sK26_skl))),
% 9.38/1.71 inference(resolution,[status(thm)],[f117,f372])).
% 9.38/1.71 fof(f577,plain,(
% 9.38/1.71 para(sK24_skl,sK21_skl,sK28_skl,sK26_skl)),
% 9.38/1.71 inference(resolution,[status(thm)],[f515,f420])).
% 9.38/1.71 fof(f584,plain,(
% 9.38/1.71 para(sK28_skl,sK26_skl,sK24_skl,sK21_skl)),
% 9.38/1.71 inference(resolution,[status(thm)],[f577,f107])).
% 9.38/1.71 fof(f593,plain,(
% 9.38/1.71 para(sK28_skl,sK26_skl,sK21_skl,sK24_skl)),
% 9.38/1.71 inference(resolution,[status(thm)],[f584,f105])).
% 9.38/1.71 fof(f598,plain,(
% 9.38/1.71 ![X0,X1]: (eqangle(sK28_skl,sK26_skl,X0,X1,sK21_skl,sK24_skl,X0,X1))),
% 9.38/1.71 inference(resolution,[status(thm)],[f593,f189])).
% 9.38/1.71 fof(f833,plain,(
% 9.38/1.71 ![X0,X1]: (eqangle(sK28_skl,sK26_skl,sK21_skl,sK24_skl,X0,X1,X0,X1))),
% 9.38/1.71 inference(resolution,[status(thm)],[f598,f144])).
% 9.38/1.71 fof(f1242,plain,(
% 9.38/1.71 para(sK28_skl,sK26_skl,sK28_skl,sK26_skl)),
% 9.38/1.71 inference(resolution,[status(thm)],[f536,f496])).
% 9.38/1.71 fof(f1250,plain,(
% 9.38/1.71 para(sK28_skl,sK26_skl,sK26_skl,sK28_skl)),
% 9.38/1.71 inference(resolution,[status(thm)],[f1242,f105])).
% 9.38/1.71 fof(f1253,plain,(
% 9.38/1.71 para(sK26_skl,sK28_skl,sK28_skl,sK26_skl)),
% 9.38/1.71 inference(resolution,[status(thm)],[f1250,f107])).
% 9.38/1.71 fof(f1258,plain,(
% 9.38/1.71 para(sK26_skl,sK28_skl,sK26_skl,sK28_skl)),
% 9.38/1.71 inference(resolution,[status(thm)],[f1253,f105])).
% 9.38/1.71 fof(f1259,plain,(
% 9.38/1.71 ![X0,X1]: (eqangle(sK26_skl,sK28_skl,X0,X1,sK26_skl,sK28_skl,X0,X1))),
% 9.38/1.71 inference(resolution,[status(thm)],[f1258,f189])).
% 9.38/1.71 fof(f1270,plain,(
% 9.38/1.71 ![X0,X1]: (eqangle(X0,X1,X0,X1,sK28_skl,sK26_skl,sK21_skl,sK24_skl))),
% 9.38/1.71 inference(resolution,[status(thm)],[f833,f142])).
% 9.38/1.71 fof(f2339,plain,(
% 9.38/1.72 ![X0]: (~coll(sK26_skl,sK26_skl,X0)|cyclic(sK28_skl,X0,sK26_skl,sK26_skl))),
% 9.38/1.72 inference(resolution,[status(thm)],[f1259,f195])).
% 9.38/1.72 fof(f2350,definition,(
% 9.38/1.72 ![X0]: (sQ79_spl <=> (cyclic(sK28_skl,X0,sK26_skl,sK26_skl)))),
% 9.38/1.72 introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition])).
% 9.38/1.72 fof(f2351,plain,(
% 9.38/1.72 ![X0]: (cyclic(sK28_skl,X0,sK26_skl,sK26_skl)|~sQ79_spl)),
% 9.38/1.72 inference(component_clause,[status(thm)],[f2350])).
% 9.38/1.72 fof(f2367,plain,(
% 9.38/1.72 ![X0]: (cyclic(sK28_skl,sK26_skl,X0,sK26_skl)|~sQ79_spl)),
% 9.38/1.72 inference(resolution,[status(thm)],[f2351,f131])).
% 9.38/1.72 fof(f2378,plain,(
% 9.38/1.72 ![X0]: (cyclic(sK28_skl,sK26_skl,sK26_skl,X0)|~sQ79_spl)),
% 9.38/1.72 inference(resolution,[status(thm)],[f2367,f129])).
% 9.38/1.72 fof(f2396,plain,(
% 9.38/1.72 ![X0,X1]: (~cyclic(sK28_skl,sK26_skl,sK26_skl,X0)|cyclic(sK26_skl,sK26_skl,X0,X1)|~sQ79_spl)),
% 9.38/1.72 inference(resolution,[status(thm)],[f2378,f136])).
% 9.38/1.72 fof(f2401,plain,(
% 9.38/1.72 ![X0,X1]: (cyclic(sK26_skl,sK26_skl,X0,X1)|~sQ79_spl)),
% 9.38/1.72 inference(forward_subsumption_resolution,[status(thm)],[f2396,f2378])).
% 9.38/1.72 fof(f2402,plain,(
% 9.38/1.72 ![X0,X1,X2]: (~cyclic(sK26_skl,sK26_skl,X0,X1)|cyclic(sK26_skl,X0,X1,X2)|~sQ79_spl)),
% 9.38/1.72 inference(resolution,[status(thm)],[f2401,f136])).
% 9.38/1.72 fof(f2411,plain,(
% 9.38/1.72 ![X0,X1,X2]: (cyclic(sK26_skl,X0,X1,X2)|~sQ79_spl)),
% 9.38/1.72 inference(forward_subsumption_resolution,[status(thm)],[f2402,f2401])).
% 9.38/1.72 fof(f3946,plain,(
% 9.38/1.72 ![X0,X1]: (~para(X0,X1,X0,X1)|para(sK28_skl,sK26_skl,sK21_skl,sK24_skl))),
% 9.38/1.72 inference(resolution,[status(thm)],[f271,f833])).
% 9.38/1.72 fof(f4092,plain,(
% 9.38/1.72 ![X0,X1]: (~para(sK28_skl,sK26_skl,sK21_skl,sK24_skl)|para(X0,X1,X0,X1))),
% 9.38/1.72 inference(resolution,[status(thm)],[f271,f1270])).
% 9.38/1.72 fof(f4109,definition,(
% 9.38/1.72 ![X0,X1]: (sQ353_spl <=> (~para(X0,X1,X0,X1)))),
% 9.38/1.72 introduced(definition,[new_symbols(definition,[sQ353_spl])],[split_symbol_definition])).
% 9.38/1.72 fof(f4110,plain,(
% 9.38/1.72 ![X0,X1]: (~para(X0,X1,X0,X1)|~sQ353_spl)),
% 9.38/1.72 inference(component_clause,[status(thm)],[f4109])).
% 9.38/1.72 fof(f4152,definition,(
% 9.38/1.72 sQ364_spl <=> (para(sK28_skl,sK26_skl,sK21_skl,sK24_skl))),
% 9.38/1.72 introduced(definition,[new_symbols(definition,[sQ364_spl])],[split_symbol_definition])).
% 9.38/1.72 fof(f4155,plain,(
% 9.38/1.72 sQ353_spl|sQ364_spl),
% 9.38/1.72 inference(split_clause,[status(thm)],[f3946,f4109,f4152])).
% 9.38/1.72 fof(f4304,definition,(
% 9.38/1.72 ![X0,X1]: (sQ402_spl <=> (para(X0,X1,X0,X1)))),
% 9.38/1.72 introduced(definition,[new_symbols(definition,[sQ402_spl])],[split_symbol_definition])).
% 9.38/1.72 fof(f4305,plain,(
% 9.38/1.72 ![X0,X1]: (para(X0,X1,X0,X1)|~sQ402_spl)),
% 9.38/1.72 inference(component_clause,[status(thm)],[f4304])).
% 9.38/1.72 fof(f4307,plain,(
% 9.38/1.72 ~sQ364_spl|sQ402_spl),
% 9.38/1.72 inference(split_clause,[status(thm)],[f4092,f4152,f4304])).
% 9.38/1.72 fof(f4324,plain,(
% 9.38/1.72 $false|~sQ353_spl),
% 9.38/1.72 inference(backward_subsumption_resolution,[status(thm)],[f1242,f4110])).
% 9.38/1.72 fof(f4727,plain,(
% 9.38/1.72 ~sQ353_spl),
% 9.38/1.72 inference(contradiction_clause,[status(thm)],[f4324])).
% 9.38/1.72 fof(f4731,plain,(
% 9.38/1.72 ![X0,X1]: (coll(X0,X1,X1)|~sQ402_spl)),
% 9.38/1.72 inference(resolution,[status(thm)],[f4305,f256])).
% 9.38/1.72 fof(f4732,plain,(
% 9.38/1.72 ![X0,X1,X2]: (~coll(X0,X1,X1)|~coll(X0,X2,X2)|eqratio(X0,X1,X1,X1,X0,X2,X2,X2)|~sQ402_spl)),
% 9.38/1.72 inference(resolution,[status(thm)],[f4305,f254])).
% 9.38/1.72 fof(f4743,plain,(
% 9.38/1.72 ![X0,X1,X2]: (~coll(X0,X1,X1)|eqratio(X0,X2,X2,X2,X0,X1,X1,X1)|~sQ402_spl)),
% 9.38/1.72 inference(forward_subsumption_resolution,[status(thm)],[f4732,f4731])).
% 9.38/1.72 fof(f4791,plain,(
% 9.38/1.72 ![X0,X1]: (coll(X0,X1,X0)|~sQ402_spl)),
% 9.38/1.72 inference(resolution,[status(thm)],[f4731,f100])).
% 9.38/1.72 fof(f4808,plain,(
% 9.38/1.72 ![X0,X1]: (coll(X0,X0,X1)|~sQ402_spl)),
% 9.38/1.72 inference(resolution,[status(thm)],[f4791,f98])).
% 9.38/1.72 fof(f4816,plain,(
% 9.38/1.72 ![X0]: (cyclic(sK28_skl,X0,sK26_skl,sK26_skl)|~sQ402_spl)),
% 9.38/1.72 inference(backward_subsumption_resolution,[status(thm)],[f2339,f4808])).
% 9.38/1.72 fof(f4841,plain,(
% 9.38/1.72 sQ79_spl|~sQ402_spl),
% 9.38/1.72 inference(split_clause,[status(thm)],[f4816,f2350,f4304])).
% 9.38/1.72 fof(f4887,plain,(
% 9.38/1.72 ![X0,X1,X2]: (~coll(X0,X0,X1)|coll(X1,X2,X0)|~sQ402_spl)),
% 9.38/1.72 inference(resolution,[status(thm)],[f4808,f103])).
% 9.38/1.72 fof(f4969,plain,(
% 9.38/1.72 ![X0,X1,X2]: (eqratio(X0,X1,X1,X1,X0,X2,X2,X2)|~sQ402_spl)),
% 9.38/1.72 inference(backward_subsumption_resolution,[status(thm)],[f4743,f4972])).
% 9.38/1.72 fof(f4972,plain,(
% 9.38/1.72 ![X0,X1,X2]: (coll(X0,X1,X2)|~sQ402_spl)),
% 9.38/1.72 inference(forward_subsumption_resolution,[status(thm)],[f4887,f4808])).
% 9.38/1.72 fof(f5054,plain,(
% 9.38/1.72 ![X0,X1,X2,X3]: (~cyclic(sK26_skl,X0,X1,X2)|cyclic(X0,X1,X2,X3)|~sQ79_spl)),
% 9.38/1.72 inference(resolution,[status(thm)],[f2411,f136])).
% 9.38/1.72 fof(f5061,plain,(
% 9.38/1.72 ![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)|~sQ79_spl)),
% 9.38/1.72 inference(backward_subsumption_resolution,[status(thm)],[f198,f5144])).
% 9.38/1.72 fof(f5138,plain,(
% 9.38/1.72 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~sQ79_spl)),
% 9.38/1.72 inference(backward_subsumption_resolution,[status(thm)],[f191,f5144])).
% 9.38/1.72 fof(f5144,plain,(
% 9.38/1.72 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3)|~sQ79_spl)),
% 9.38/1.72 inference(forward_subsumption_resolution,[status(thm)],[f5054,f2411])).
% 9.38/1.72 fof(f5145,plain,(
% 9.38/1.72 ![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)|~sQ79_spl)),
% 9.38/1.72 inference(forward_subsumption_resolution,[status(thm)],[f5061,f5144])).
% 9.38/1.72 fof(f5376,plain,(
% 9.38/1.72 ![X0,X1,X2]: (eqratio(X0,X1,X0,X2,X1,X1,X2,X2)|~sQ402_spl)),
% 9.38/1.72 inference(resolution,[status(thm)],[f4969,f162])).
% 8.18/1.72 fof(f5412,plain,(
% 8.18/1.72 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X1,X0,X3,X2,X3)|~sQ79_spl)),
% 8.18/1.72 inference(resolution,[status(thm)],[f5138,f144])).
% 8.18/1.72 fof(f5768,plain,(
% 8.18/1.72 ![X0,X1,X2]: (~cong(X0,X0,X1,X1)|cong(X2,X0,X2,X1)|~sQ402_spl)),
% 8.18/1.72 inference(resolution,[status(thm)],[f5376,f277])).
% 8.18/1.72 fof(f6158,plain,(
% 8.18/1.72 ![X0,X1,X2]: (~cyclic(X0,X0,X1,X2)|cong(X0,X0,X2,X2)|~sQ79_spl)),
% 8.18/1.72 inference(resolution,[status(thm)],[f5145,f5412])).
% 8.18/1.72 fof(f6183,plain,(
% 8.18/1.72 ![X0,X1,X2]: (cong(X0,X1,X0,X2)|~sQ79_spl|~sQ402_spl)),
% 8.18/1.72 inference(backward_subsumption_resolution,[status(thm)],[f5768,f6184])).
% 8.18/1.72 fof(f6184,plain,(
% 8.18/1.72 ![X0,X1]: (cong(X0,X0,X1,X1)|~sQ79_spl)),
% 8.18/1.72 inference(forward_subsumption_resolution,[status(thm)],[f6158,f5144])).
% 8.18/1.72 fof(f6190,plain,(
% 8.18/1.72 $false|~sQ79_spl|~sQ402_spl),
% 8.18/1.72 inference(backward_subsumption_resolution,[status(thm)],[f379,f6183])).
% 8.18/1.72 fof(f6210,plain,(
% 8.18/1.72 ~sQ79_spl|~sQ402_spl),
% 8.18/1.72 inference(contradiction_clause,[status(thm)],[f6190])).
% 8.18/1.72 fof(f6211,plain,(
% 8.18/1.72 $false),
% 8.18/1.72 inference(sat_refutation,[status(thm)],[f4155,f4307,f4727,f4841,f6210])).
% 8.18/1.72 % SZS output end CNFRefutation for theBenchmark.p
% 8.18/1.74 % Elapsed time: 1.349378 seconds
% 8.18/1.74 % CPU time: 10.341701 seconds
% 8.18/1.74 % Total memory used: 149.377 MB
% 8.18/1.74 % Net memory used: 141.476 MB
%------------------------------------------------------------------------------