%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO660+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 : 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 12:26:47 PM UTC 2026
% Result : Theorem 3.43s 1.10s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO660+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.43 % Computer : n016.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 18:21:22 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.45 % Drodi V4.1.1
% 3.43/1.10 % Refutation found
% 3.43/1.10 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.43/1.10 % SZS output start CNFRefutation for theBenchmark
% 3.43/1.10 fof(f1,axiom,(
% 3.43/1.10 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 3.43/1.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.43/1.10 fof(f2,axiom,(
% 3.43/1.10 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 3.43/1.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.43/1.10 fof(f3,axiom,(
% 3.43/1.10 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 3.43/1.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.43/1.10 fof(f4,axiom,(
% 3.43/1.10 (! [A,B,C,D] :( para(A,B,C,D)=> para(A,B,D,C) ) )),
% 3.43/1.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.43/1.10 fof(f5,axiom,(
% 3.43/1.10 (! [A,B,C,D] :( para(A,B,C,D)=> para(C,D,A,B) ) )),
% 3.43/1.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.43/1.10 fof(f7,axiom,(
% 3.43/1.10 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(A,B,D,C) ) )),
% 3.43/1.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.43/1.10 fof(f8,axiom,(
% 3.43/1.10 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 3.43/1.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.43/1.10 fof(f9,axiom,(
% 3.43/1.10 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 3.43/1.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.43/1.10 fof(f10,axiom,(
% 3.43/1.10 (! [A,B,C,D,E,F] :( ( para(A,B,C,D)& perp(C,D,E,F) )=> perp(A,B,E,F) ) )),
% 3.43/1.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.43/1.10 fof(f17,axiom,(
% 3.43/1.10 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 3.43/1.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.43/1.10 fof(f19,axiom,(
% 3.43/1.10 (! [A,B,C,D,P,Q,U,V] :( eqangle(A,B,C,D,P,Q,U,V)=> eqangle(C,D,A,B,U,V,P,Q) ) )),
% 3.43/1.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.43/1.10 fof(f21,axiom,(
% 3.43/1.10 (! [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) ) )),
% 3.43/1.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.43/1.10 fof(f39,axiom,(
% 3.43/1.10 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 3.43/1.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.43/1.10 fof(f40,axiom,(
% 3.43/1.10 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 3.43/1.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.43/1.10 fof(f43,axiom,(
% 3.43/1.10 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 3.43/1.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.43/1.10 fof(f44,axiom,(
% 3.43/1.10 (! [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) ) )),
% 3.43/1.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.43/1.10 fof(f57,axiom,(
% 3.43/1.10 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 3.43/1.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.43/1.10 fof(f67,axiom,(
% 3.43/1.10 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 3.43/1.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.43/1.10 fof(f95,conjecture,(
% 3.43/1.10 (! [A,B,C,D,E,F,G] :( ( perp(C,A,C,B)& perp(D,C,A,B)& coll(D,A,B)& coll(E,C,D)& coll(F,A,B)& eqangle(B,A,A,E,E,A,A,C)& eqangle(D,C,C,F,F,C,C,B)& coll(G,B,C)& coll(G,A,E) )=> para(E,F,C,B) ) )),
% 3.43/1.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.43/1.10 fof(f96,negated_conjecture,(
% 3.43/1.10 ~((! [A,B,C,D,E,F,G] :( ( perp(C,A,C,B)& perp(D,C,A,B)& coll(D,A,B)& coll(E,C,D)& coll(F,A,B)& eqangle(B,A,A,E,E,A,A,C)& eqangle(D,C,C,F,F,C,C,B)& coll(G,B,C)& coll(G,A,E) )=> para(E,F,C,B) ) ))),
% 3.43/1.10 inference(negated_conjecture,[status(cth)],[f95])).
% 3.43/1.10 fof(f97,plain,(
% 3.43/1.10 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 3.43/1.10 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 3.43/1.10 fof(f98,plain,(
% 3.43/1.10 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 3.43/1.10 inference(cnf_transformation,[status(thm)],[f97])).
% 3.43/1.10 fof(f99,plain,(
% 3.43/1.10 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 3.43/1.10 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 3.43/1.10 fof(f100,plain,(
% 3.43/1.10 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 3.43/1.10 inference(cnf_transformation,[status(thm)],[f99])).
% 3.43/1.10 fof(f101,plain,(
% 3.43/1.10 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 3.43/1.10 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 3.43/1.10 fof(f102,plain,(
% 3.43/1.10 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 3.43/1.10 inference(miniscoping,[status(thm)],[f101])).
% 3.43/1.10 fof(f103,plain,(
% 3.43/1.10 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 3.43/1.10 inference(cnf_transformation,[status(thm)],[f102])).
% 3.43/1.10 fof(f104,plain,(
% 3.43/1.10 ![A,B,C,D]: (~para(A,B,C,D)|para(A,B,D,C))),
% 3.43/1.10 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 3.43/1.10 fof(f105,plain,(
% 3.43/1.10 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X0,X1,X3,X2))),
% 3.43/1.10 inference(cnf_transformation,[status(thm)],[f104])).
% 3.43/1.10 fof(f106,plain,(
% 3.43/1.10 ![A,B,C,D]: (~para(A,B,C,D)|para(C,D,A,B))),
% 3.43/1.10 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 3.43/1.10 fof(f107,plain,(
% 3.43/1.10 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X2,X3,X0,X1))),
% 3.43/1.10 inference(cnf_transformation,[status(thm)],[f106])).
% 3.43/1.10 fof(f111,plain,(
% 3.43/1.10 ![A,B,C,D]: (~perp(A,B,C,D)|perp(A,B,D,C))),
% 3.43/1.10 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 3.43/1.10 fof(f112,plain,(
% 3.43/1.10 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X0,X1,X3,X2))),
% 3.43/1.10 inference(cnf_transformation,[status(thm)],[f111])).
% 3.43/1.10 fof(f113,plain,(
% 3.43/1.10 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 3.43/1.10 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 3.43/1.10 fof(f114,plain,(
% 3.43/1.10 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 3.43/1.10 inference(cnf_transformation,[status(thm)],[f113])).
% 3.43/1.10 fof(f115,plain,(
% 3.43/1.10 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 3.43/1.10 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 3.43/1.10 fof(f116,plain,(
% 3.43/1.10 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 3.43/1.10 inference(miniscoping,[status(thm)],[f115])).
% 3.43/1.10 fof(f117,plain,(
% 3.43/1.10 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 3.43/1.10 inference(cnf_transformation,[status(thm)],[f116])).
% 3.43/1.10 fof(f118,plain,(
% 3.43/1.10 ![A,B,C,D,E,F]: ((~para(A,B,C,D)|~perp(C,D,E,F))|perp(A,B,E,F))),
% 3.43/1.10 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 3.43/1.10 fof(f119,plain,(
% 3.43/1.10 ![A,B,E,F]: ((![C,D]: (~para(A,B,C,D)|~perp(C,D,E,F)))|perp(A,B,E,F))),
% 3.43/1.10 inference(miniscoping,[status(thm)],[f118])).
% 3.43/1.10 fof(f120,plain,(
% 3.43/1.10 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|perp(X0,X1,X4,X5))),
% 3.43/1.10 inference(cnf_transformation,[status(thm)],[f119])).
% 3.43/1.10 fof(f134,plain,(
% 3.43/1.10 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 3.43/1.10 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 3.43/1.10 fof(f135,plain,(
% 3.43/1.10 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 3.43/1.10 inference(miniscoping,[status(thm)],[f134])).
% 3.43/1.10 fof(f136,plain,(
% 3.43/1.10 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 3.43/1.10 inference(cnf_transformation,[status(thm)],[f135])).
% 3.43/1.10 fof(f139,plain,(
% 3.43/1.10 ![A,B,C,D,P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|eqangle(C,D,A,B,U,V,P,Q))),
% 3.43/1.10 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 3.43/1.10 fof(f140,plain,(
% 3.43/1.10 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|eqangle(X2,X3,X0,X1,X6,X7,X4,X5))),
% 3.43/1.10 inference(cnf_transformation,[status(thm)],[f139])).
% 3.43/1.10 fof(f143,plain,(
% 3.43/1.10 ![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))),
% 3.43/1.10 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 3.43/1.10 fof(f144,plain,(
% 3.43/1.10 ![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))),
% 3.43/1.10 inference(cnf_transformation,[status(thm)],[f143])).
% 3.43/1.10 fof(f184,plain,(
% 3.43/1.10 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 3.43/1.10 inference(pre_NNF_transformation,[status(thm)],[f39])).
% 3.43/1.10 fof(f185,plain,(
% 3.43/1.10 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 3.43/1.10 inference(miniscoping,[status(thm)],[f184])).
% 3.43/1.10 fof(f186,plain,(
% 3.43/1.10 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 3.43/1.10 inference(cnf_transformation,[status(thm)],[f185])).
% 3.43/1.10 fof(f187,plain,(
% 3.43/1.10 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 3.43/1.10 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 3.43/1.10 fof(f188,plain,(
% 3.43/1.10 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 3.43/1.10 inference(miniscoping,[status(thm)],[f187])).
% 3.43/1.10 fof(f189,plain,(
% 3.43/1.10 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 3.43/1.10 inference(cnf_transformation,[status(thm)],[f188])).
% 3.43/1.10 fof(f194,plain,(
% 3.43/1.10 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 3.43/1.10 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 3.43/1.10 fof(f195,plain,(
% 3.43/1.10 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 3.43/1.10 inference(cnf_transformation,[status(thm)],[f194])).
% 3.43/1.10 fof(f196,plain,(
% 3.43/1.10 ![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))),
% 3.43/1.10 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 3.43/1.10 fof(f197,plain,(
% 3.43/1.10 ![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))),
% 3.43/1.10 inference(miniscoping,[status(thm)],[f196])).
% 3.43/1.10 fof(f198,plain,(
% 3.43/1.10 ![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))),
% 3.43/1.10 inference(cnf_transformation,[status(thm)],[f197])).
% 3.43/1.10 fof(f231,plain,(
% 3.43/1.10 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 3.43/1.10 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 3.43/1.10 fof(f232,plain,(
% 3.43/1.10 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 3.43/1.10 inference(cnf_transformation,[status(thm)],[f231])).
% 3.43/1.10 fof(f255,plain,(
% 3.43/1.10 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 3.43/1.10 inference(pre_NNF_transformation,[status(thm)],[f67])).
% 3.43/1.10 fof(f256,plain,(
% 3.43/1.10 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 3.43/1.10 inference(cnf_transformation,[status(thm)],[f255])).
% 3.43/1.10 fof(f369,plain,(
% 3.43/1.10 (?[A,B,C,D,E,F,G]: (((((((((perp(C,A,C,B)&perp(D,C,A,B))&coll(D,A,B))&coll(E,C,D))&coll(F,A,B))&eqangle(B,A,A,E,E,A,A,C))&eqangle(D,C,C,F,F,C,C,B))&coll(G,B,C))&coll(G,A,E))&~para(E,F,C,B)))),
% 3.43/1.10 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 3.43/1.10 fof(f370,plain,(
% 3.43/1.10 ?[B,C,E,F]: ((?[A,G]: (((?[D]: ((((((perp(C,A,C,B)&perp(D,C,A,B))&coll(D,A,B))&coll(E,C,D))&coll(F,A,B))&eqangle(B,A,A,E,E,A,A,C))&eqangle(D,C,C,F,F,C,C,B)))&coll(G,B,C))&coll(G,A,E)))&~para(E,F,C,B))),
% 3.43/1.10 inference(miniscoping,[status(thm)],[f369])).
% 3.43/1.10 fof(f371,plain,(
% 3.43/1.10 (((((((((perp(sK21_skl,sK24_skl,sK21_skl,sK20_skl)&perp(sK26_skl,sK21_skl,sK24_skl,sK20_skl))&coll(sK26_skl,sK24_skl,sK20_skl))&coll(sK22_skl,sK21_skl,sK26_skl))&coll(sK23_skl,sK24_skl,sK20_skl))&eqangle(sK20_skl,sK24_skl,sK24_skl,sK22_skl,sK22_skl,sK24_skl,sK24_skl,sK21_skl))&eqangle(sK26_skl,sK21_skl,sK21_skl,sK23_skl,sK23_skl,sK21_skl,sK21_skl,sK20_skl))&coll(sK25_skl,sK20_skl,sK21_skl))&coll(sK25_skl,sK24_skl,sK22_skl))&~para(sK22_skl,sK23_skl,sK21_skl,sK20_skl))),
% 3.43/1.10 inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl,sK21_skl,sK22_skl,sK23_skl,sK24_skl,sK25_skl,sK26_skl]),skolemize(B,sK20_skl),skolemize(C,sK21_skl),skolemize(E,sK22_skl),skolemize(F,sK23_skl),skolemize(A,sK24_skl),skolemize(G,sK25_skl),skolemize(D,sK26_skl)],[f370])).
% 3.43/1.10 fof(f373,plain,(
% 3.43/1.10 perp(sK26_skl,sK21_skl,sK24_skl,sK20_skl)),
% 3.43/1.10 inference(cnf_transformation,[status(thm)],[f371])).
% 3.43/1.10 fof(f381,plain,(
% 3.43/1.10 ~para(sK22_skl,sK23_skl,sK21_skl,sK20_skl)),
% 3.43/1.10 inference(cnf_transformation,[status(thm)],[f371])).
% 3.43/1.10 fof(f473,plain,(
% 3.43/1.10 perp(sK26_skl,sK21_skl,sK20_skl,sK24_skl)),
% 3.43/1.10 inference(resolution,[status(thm)],[f373,f112])).
% 3.43/1.10 fof(f476,plain,(
% 3.43/1.10 perp(sK20_skl,sK24_skl,sK26_skl,sK21_skl)),
% 3.43/1.10 inference(resolution,[status(thm)],[f114,f473])).
% 3.43/1.10 fof(f477,plain,(
% 3.43/1.10 perp(sK24_skl,sK20_skl,sK26_skl,sK21_skl)),
% 3.43/1.10 inference(resolution,[status(thm)],[f114,f373])).
% 3.43/1.10 fof(f486,plain,(
% 3.43/1.10 ![X0,X1]: (~perp(X0,X1,sK24_skl,sK20_skl)|para(X0,X1,sK26_skl,sK21_skl))),
% 3.43/1.10 inference(resolution,[status(thm)],[f117,f477])).
% 3.43/1.10 fof(f489,plain,(
% 3.43/1.10 ![X0,X1]: (~perp(X0,X1,sK26_skl,sK21_skl)|para(X0,X1,sK20_skl,sK24_skl))),
% 3.43/1.10 inference(resolution,[status(thm)],[f117,f473])).
% 3.43/1.10 fof(f490,plain,(
% 3.43/1.10 ![X0,X1]: (~perp(X0,X1,sK26_skl,sK21_skl)|para(X0,X1,sK24_skl,sK20_skl))),
% 3.43/1.10 inference(resolution,[status(thm)],[f117,f373])).
% 3.43/1.10 fof(f700,plain,(
% 3.43/1.10 para(sK20_skl,sK24_skl,sK24_skl,sK20_skl)),
% 3.43/1.10 inference(resolution,[status(thm)],[f490,f476])).
% 3.43/1.10 fof(f715,plain,(
% 3.43/1.10 para(sK20_skl,sK24_skl,sK20_skl,sK24_skl)),
% 3.43/1.10 inference(resolution,[status(thm)],[f700,f105])).
% 3.43/1.10 fof(f732,plain,(
% 3.43/1.10 ![X0,X1]: (eqangle(sK20_skl,sK24_skl,X0,X1,sK20_skl,sK24_skl,X0,X1))),
% 3.43/1.10 inference(resolution,[status(thm)],[f189,f715])).
% 3.43/1.10 fof(f2258,plain,(
% 3.43/1.10 ![X0,X1]: (eqangle(sK20_skl,sK24_skl,sK20_skl,sK24_skl,X0,X1,X0,X1))),
% 3.43/1.10 inference(resolution,[status(thm)],[f732,f144])).
% 3.43/1.10 fof(f2260,plain,(
% 3.43/1.10 ![X0,X1]: (eqangle(X0,X1,sK20_skl,sK24_skl,X0,X1,sK20_skl,sK24_skl))),
% 3.43/1.10 inference(resolution,[status(thm)],[f732,f140])).
% 3.43/1.10 fof(f5586,plain,(
% 3.43/1.10 ![X0,X1]: (para(X0,X1,X0,X1))),
% 3.43/1.10 inference(resolution,[status(thm)],[f2260,f186])).
% 3.43/1.10 fof(f5601,plain,(
% 3.43/1.10 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X3,X0,X1,X2,X3))),
% 3.43/1.10 inference(resolution,[status(thm)],[f5586,f189])).
% 3.43/1.10 fof(f5603,plain,(
% 3.43/1.10 ![X0,X1]: (coll(X0,X1,X1))),
% 3.43/1.10 inference(resolution,[status(thm)],[f5586,f256])).
% 3.43/1.10 fof(f5889,plain,(
% 3.43/1.10 ![X0,X1]: (coll(X0,X1,X0))),
% 3.43/1.10 inference(resolution,[status(thm)],[f5603,f100])).
% 3.43/1.10 fof(f6185,plain,(
% 3.43/1.10 ![X0,X1]: (coll(X0,X0,X1))),
% 3.43/1.10 inference(resolution,[status(thm)],[f5889,f98])).
% 3.43/1.10 fof(f6236,plain,(
% 3.43/1.10 ![X0,X1,X2]: (~coll(X0,X0,X1)|coll(X1,X2,X0))),
% 3.43/1.10 inference(resolution,[status(thm)],[f6185,f103])).
% 3.43/1.10 fof(f6239,plain,(
% 3.43/1.10 ![X0,X1,X2]: (coll(X0,X1,X2))),
% 3.43/1.10 inference(forward_subsumption_resolution,[status(thm)],[f6236,f6185])).
% 3.43/1.10 fof(f6245,plain,(
% 3.43/1.10 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|cyclic(X1,X2,X0,X3))),
% 3.43/1.10 inference(backward_subsumption_resolution,[status(thm)],[f195,f6239])).
% 3.43/1.10 fof(f6291,plain,(
% 3.43/1.10 ![X0]: (cyclic(sK24_skl,sK24_skl,sK20_skl,X0))),
% 3.43/1.10 inference(resolution,[status(thm)],[f6245,f2258])).
% 3.43/1.10 fof(f6337,plain,(
% 3.43/1.10 ![X0,X1]: (~cyclic(sK24_skl,sK24_skl,sK20_skl,X0)|cyclic(sK24_skl,sK20_skl,X0,X1))),
% 3.43/1.10 inference(resolution,[status(thm)],[f6291,f136])).
% 3.43/1.10 fof(f6341,plain,(
% 3.43/1.10 ![X0,X1]: (cyclic(sK24_skl,sK20_skl,X0,X1))),
% 3.43/1.10 inference(forward_subsumption_resolution,[status(thm)],[f6337,f6291])).
% 3.43/1.10 fof(f6343,plain,(
% 3.43/1.10 ![X0,X1,X2]: (~cyclic(sK24_skl,sK20_skl,X0,X1)|cyclic(sK20_skl,X0,X1,X2))),
% 3.43/1.10 inference(resolution,[status(thm)],[f6341,f136])).
% 3.43/1.10 fof(f6347,plain,(
% 3.43/1.10 ![X0,X1,X2]: (cyclic(sK20_skl,X0,X1,X2))),
% 3.43/1.10 inference(forward_subsumption_resolution,[status(thm)],[f6343,f6341])).
% 3.43/1.10 fof(f6349,plain,(
% 3.43/1.10 ![X0,X1,X2,X3]: (~cyclic(sK20_skl,X0,X1,X2)|cyclic(X0,X1,X2,X3))),
% 3.43/1.10 inference(resolution,[status(thm)],[f6347,f136])).
% 3.43/1.10 fof(f6353,plain,(
% 3.43/1.10 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3))),
% 3.43/1.10 inference(forward_subsumption_resolution,[status(thm)],[f6349,f6347])).
% 3.43/1.10 fof(f6358,plain,(
% 3.43/1.10 ![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))),
% 3.43/1.10 inference(backward_subsumption_resolution,[status(thm)],[f198,f6353])).
% 3.43/1.10 fof(f6360,plain,(
% 3.43/1.10 ![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))),
% 3.43/1.10 inference(forward_subsumption_resolution,[status(thm)],[f6358,f6353])).
% 3.43/1.10 fof(f6383,plain,(
% 3.43/1.10 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X0,X2,X3,X4,X3,X5)|cong(X1,X2,X4,X5))),
% 3.43/1.10 inference(forward_subsumption_resolution,[status(thm)],[f6360,f6353])).
% 3.43/1.10 fof(f6385,plain,(
% 3.43/1.10 ![X0,X1]: (cong(X0,X1,X0,X1))),
% 3.43/1.10 inference(resolution,[status(thm)],[f6383,f5601])).
% 3.43/1.10 fof(f6405,plain,(
% 3.43/1.10 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X0,X0,X1,X2))),
% 3.43/1.10 inference(resolution,[status(thm)],[f6385,f232])).
% 3.43/1.10 fof(f6412,plain,(
% 3.43/1.10 ![X0,X1,X2]: (perp(X0,X0,X1,X2))),
% 3.43/1.10 inference(forward_subsumption_resolution,[status(thm)],[f6405,f6385])).
% 3.43/1.10 fof(f6443,plain,(
% 3.43/1.10 ![X0]: (para(X0,X0,sK26_skl,sK21_skl))),
% 3.43/1.10 inference(resolution,[status(thm)],[f6412,f486])).
% 3.43/1.10 fof(f6447,plain,(
% 3.43/1.10 ![X0]: (para(X0,X0,sK20_skl,sK24_skl))),
% 3.43/1.10 inference(resolution,[status(thm)],[f6412,f489])).
% 3.43/1.10 fof(f6534,plain,(
% 3.43/1.10 ![X0]: (para(sK26_skl,sK21_skl,X0,X0))),
% 3.43/1.10 inference(resolution,[status(thm)],[f6443,f107])).
% 3.43/1.10 fof(f6585,plain,(
% 3.43/1.10 ![X0]: (para(sK20_skl,sK24_skl,X0,X0))),
% 3.43/1.10 inference(resolution,[status(thm)],[f6447,f107])).
% 3.43/1.10 fof(f6616,plain,(
% 3.43/1.10 ![X0,X1,X2]: (~perp(X0,X0,X1,X2)|perp(sK26_skl,sK21_skl,X1,X2))),
% 3.43/1.10 inference(resolution,[status(thm)],[f6534,f120])).
% 3.43/1.10 fof(f6620,plain,(
% 3.43/1.10 ![X0,X1]: (perp(sK26_skl,sK21_skl,X0,X1))),
% 3.43/1.10 inference(forward_subsumption_resolution,[status(thm)],[f6616,f6412])).
% 3.43/1.10 fof(f6694,plain,(
% 3.43/1.10 ![X0,X1,X2]: (~perp(X0,X0,X1,X2)|perp(sK20_skl,sK24_skl,X1,X2))),
% 3.43/1.10 inference(resolution,[status(thm)],[f6585,f120])).
% 3.43/1.10 fof(f6698,plain,(
% 3.43/1.10 ![X0,X1]: (perp(sK20_skl,sK24_skl,X0,X1))),
% 3.43/1.10 inference(forward_subsumption_resolution,[status(thm)],[f6694,f6412])).
% 3.43/1.10 fof(f6720,plain,(
% 3.43/1.10 ![X0,X1]: (perp(X0,X1,sK26_skl,sK21_skl))),
% 3.43/1.10 inference(resolution,[status(thm)],[f6620,f114])).
% 3.43/1.10 fof(f6812,plain,(
% 3.43/1.10 ![X0,X1]: (para(X0,X1,sK20_skl,sK24_skl))),
% 3.43/1.10 inference(backward_subsumption_resolution,[status(thm)],[f489,f6720])).
% 3.43/1.10 fof(f6880,plain,(
% 3.43/1.10 ![X0,X1,X2,X3]: (~perp(sK20_skl,sK24_skl,X0,X1)|perp(X2,X3,X0,X1))),
% 3.43/1.10 inference(resolution,[status(thm)],[f6812,f120])).
% 3.43/1.10 fof(f6884,plain,(
% 3.43/1.10 ![X0,X1,X2,X3]: (perp(X0,X1,X2,X3))),
% 3.43/1.10 inference(forward_subsumption_resolution,[status(thm)],[f6880,f6698])).
% 3.43/1.10 fof(f6888,plain,(
% 3.43/1.10 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|para(X4,X5,X2,X3))),
% 3.43/1.10 inference(backward_subsumption_resolution,[status(thm)],[f117,f6884])).
% 3.43/1.10 fof(f6890,plain,(
% 3.43/1.10 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3))),
% 3.43/1.10 inference(forward_subsumption_resolution,[status(thm)],[f6888,f6884])).
% 3.43/1.10 fof(f6905,plain,(
% 3.43/1.10 $false),
% 3.43/1.10 inference(backward_subsumption_resolution,[status(thm)],[f381,f6890])).
% 3.43/1.10 % SZS output end CNFRefutation for theBenchmark.p
% 3.34/1.13 % Elapsed time: 0.677846 seconds
% 3.34/1.13 % CPU time: 5.098201 seconds
% 3.34/1.13 % Total memory used: 126.669 MB
% 3.34/1.13 % Net memory used: 121.356 MB
%------------------------------------------------------------------------------