%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO566+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 : 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 12:26:39 PM UTC 2026
% Result : Theorem 0.15s 5.69s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO566+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
% 0.08/5.37 % Computer : n018.cluster.edu
% 0.08/5.37 % Model : x86_64 x86_64
% 0.08/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.37 % Memory : 8046.5625MB
% 0.08/5.37 % OS : Linux 6.8.0-71-generic
% 0.08/5.37 % CPULimit : 300
% 0.08/5.37 % WCLimit : 300
% 0.08/5.37 % DateTime : Sun Sep 20 17:37:20 UTC 2026
% 0.08/5.37 % CPUTime :
% 0.08/5.39 % Drodi V4.1.1
% 0.15/5.69 % Refutation found
% 0.15/5.69 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/5.69 % SZS output start CNFRefutation for theBenchmark
% 0.15/5.69 fof(f4,axiom,(
% 0.15/5.69 (! [A,B,C,D] :( para(A,B,C,D)=> para(A,B,D,C) ) )),
% 0.15/5.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.69 fof(f5,axiom,(
% 0.15/5.69 (! [A,B,C,D] :( para(A,B,C,D)=> para(C,D,A,B) ) )),
% 0.15/5.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.69 fof(f7,axiom,(
% 0.15/5.69 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(A,B,D,C) ) )),
% 0.15/5.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.69 fof(f8,axiom,(
% 0.15/5.69 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 0.15/5.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.69 fof(f9,axiom,(
% 0.15/5.69 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 0.15/5.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.69 fof(f17,axiom,(
% 0.15/5.69 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 0.15/5.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.69 fof(f18,axiom,(
% 0.15/5.69 (! [A,B,C,D,P,Q,U,V] :( eqangle(A,B,C,D,P,Q,U,V)=> eqangle(B,A,C,D,P,Q,U,V) ) )),
% 0.15/5.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.69 fof(f19,axiom,(
% 0.15/5.69 (! [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) ) )),
% 0.15/5.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.69 fof(f20,axiom,(
% 0.15/5.69 (! [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) ) )),
% 0.15/5.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.69 fof(f21,axiom,(
% 0.15/5.69 (! [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) ) )),
% 0.15/5.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.69 fof(f40,axiom,(
% 0.15/5.69 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 0.15/5.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.69 fof(f41,axiom,(
% 0.15/5.69 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 0.15/5.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.69 fof(f42,axiom,(
% 0.15/5.69 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& ~ coll(P,Q,A) )=> cyclic(A,B,P,Q) ) )),
% 0.15/5.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.69 fof(f43,axiom,(
% 0.15/5.69 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 0.15/5.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.69 fof(f44,axiom,(
% 0.15/5.69 (! [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) ) )),
% 0.15/5.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.69 fof(f57,axiom,(
% 0.15/5.69 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 0.15/5.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.69 fof(f67,axiom,(
% 0.15/5.69 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 0.15/5.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.69 fof(f95,conjecture,(
% 0.15/5.69 (! [A,B,C,F,H,T,Q,P] :( ( perp(F,C,A,B)& coll(F,A,B)& perp(B,C,A,H)& perp(A,C,B,H)& perp(T,F,B,C)& coll(T,B,C)& perp(Q,F,A,H)& coll(Q,A,H)& perp(P,F,A,C)& coll(P,A,C) )=> coll(P,Q,T) ) )),
% 0.15/5.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.69 fof(f96,negated_conjecture,(
% 0.15/5.69 ~((! [A,B,C,F,H,T,Q,P] :( ( perp(F,C,A,B)& coll(F,A,B)& perp(B,C,A,H)& perp(A,C,B,H)& perp(T,F,B,C)& coll(T,B,C)& perp(Q,F,A,H)& coll(Q,A,H)& perp(P,F,A,C)& coll(P,A,C) )=> coll(P,Q,T) ) ))),
% 0.15/5.69 inference(negated_conjecture,[status(cth)],[f95])).
% 0.15/5.69 fof(f104,plain,(
% 0.15/5.69 ![A,B,C,D]: (~para(A,B,C,D)|para(A,B,D,C))),
% 0.15/5.69 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.15/5.69 fof(f105,plain,(
% 0.15/5.69 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X0,X1,X3,X2))),
% 0.15/5.69 inference(cnf_transformation,[status(thm)],[f104])).
% 0.15/5.69 fof(f106,plain,(
% 0.15/5.69 ![A,B,C,D]: (~para(A,B,C,D)|para(C,D,A,B))),
% 0.15/5.69 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.15/5.69 fof(f107,plain,(
% 0.15/5.69 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X2,X3,X0,X1))),
% 0.15/5.69 inference(cnf_transformation,[status(thm)],[f106])).
% 0.15/5.69 fof(f111,plain,(
% 0.15/5.69 ![A,B,C,D]: (~perp(A,B,C,D)|perp(A,B,D,C))),
% 0.15/5.69 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.15/5.69 fof(f112,plain,(
% 0.15/5.69 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X0,X1,X3,X2))),
% 0.15/5.69 inference(cnf_transformation,[status(thm)],[f111])).
% 0.15/5.69 fof(f113,plain,(
% 0.15/5.69 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 0.15/5.69 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.15/5.69 fof(f114,plain,(
% 0.15/5.69 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 0.15/5.69 inference(cnf_transformation,[status(thm)],[f113])).
% 0.15/5.69 fof(f115,plain,(
% 0.15/5.69 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 0.15/5.69 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.15/5.69 fof(f116,plain,(
% 0.15/5.69 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 0.15/5.69 inference(miniscoping,[status(thm)],[f115])).
% 0.15/5.69 fof(f117,plain,(
% 0.15/5.69 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 0.15/5.69 inference(cnf_transformation,[status(thm)],[f116])).
% 0.15/5.69 fof(f134,plain,(
% 0.15/5.69 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 0.15/5.69 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 0.15/5.69 fof(f135,plain,(
% 0.15/5.69 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 0.15/5.69 inference(miniscoping,[status(thm)],[f134])).
% 0.15/5.69 fof(f136,plain,(
% 0.15/5.69 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 0.15/5.69 inference(cnf_transformation,[status(thm)],[f135])).
% 0.15/5.69 fof(f137,plain,(
% 0.15/5.69 ![A,B,C,D,P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|eqangle(B,A,C,D,P,Q,U,V))),
% 0.15/5.69 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 0.15/5.69 fof(f138,plain,(
% 0.15/5.69 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|eqangle(X1,X0,X2,X3,X4,X5,X6,X7))),
% 0.15/5.69 inference(cnf_transformation,[status(thm)],[f137])).
% 0.15/5.69 fof(f139,plain,(
% 0.15/5.69 ![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))),
% 0.15/5.69 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 0.15/5.69 fof(f140,plain,(
% 0.15/5.69 ![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))),
% 0.15/5.69 inference(cnf_transformation,[status(thm)],[f139])).
% 0.15/5.69 fof(f141,plain,(
% 0.15/5.69 ![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))),
% 0.15/5.69 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 0.15/5.69 fof(f142,plain,(
% 0.15/5.69 ![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))),
% 0.15/5.69 inference(cnf_transformation,[status(thm)],[f141])).
% 0.15/5.69 fof(f143,plain,(
% 0.15/5.69 ![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))),
% 0.15/5.69 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 0.15/5.69 fof(f144,plain,(
% 0.15/5.69 ![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))),
% 0.15/5.69 inference(cnf_transformation,[status(thm)],[f143])).
% 0.15/5.69 fof(f187,plain,(
% 0.15/5.69 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 0.15/5.69 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 0.15/5.69 fof(f188,plain,(
% 0.15/5.69 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 0.15/5.69 inference(miniscoping,[status(thm)],[f187])).
% 0.15/5.69 fof(f189,plain,(
% 0.15/5.69 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 0.15/5.69 inference(cnf_transformation,[status(thm)],[f188])).
% 0.15/5.69 fof(f190,plain,(
% 0.15/5.69 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 0.15/5.69 inference(pre_NNF_transformation,[status(thm)],[f41])).
% 0.15/5.69 fof(f191,plain,(
% 0.15/5.69 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 0.15/5.69 inference(cnf_transformation,[status(thm)],[f190])).
% 0.15/5.69 fof(f192,plain,(
% 0.15/5.69 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|coll(P,Q,A))|cyclic(A,B,P,Q))),
% 0.15/5.69 inference(pre_NNF_transformation,[status(thm)],[f42])).
% 0.15/5.69 fof(f193,plain,(
% 0.15/5.69 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|coll(X0,X3,X1)|cyclic(X1,X2,X0,X3))),
% 0.15/5.69 inference(cnf_transformation,[status(thm)],[f192])).
% 0.15/5.69 fof(f194,plain,(
% 0.15/5.69 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 0.15/5.69 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 0.15/5.69 fof(f195,plain,(
% 0.15/5.69 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 0.15/5.69 inference(cnf_transformation,[status(thm)],[f194])).
% 0.15/5.69 fof(f196,plain,(
% 0.15/5.69 ![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))),
% 0.15/5.69 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 0.15/5.69 fof(f197,plain,(
% 0.15/5.69 ![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))),
% 0.15/5.69 inference(miniscoping,[status(thm)],[f196])).
% 0.15/5.69 fof(f198,plain,(
% 0.15/5.69 ![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))),
% 0.15/5.69 inference(cnf_transformation,[status(thm)],[f197])).
% 0.15/5.69 fof(f231,plain,(
% 0.15/5.69 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 0.15/5.69 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 0.15/5.69 fof(f232,plain,(
% 0.15/5.69 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 0.15/5.69 inference(cnf_transformation,[status(thm)],[f231])).
% 0.15/5.69 fof(f255,plain,(
% 0.15/5.69 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 0.15/5.69 inference(pre_NNF_transformation,[status(thm)],[f67])).
% 0.15/5.69 fof(f256,plain,(
% 0.15/5.69 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 0.15/5.69 inference(cnf_transformation,[status(thm)],[f255])).
% 0.15/5.69 fof(f369,plain,(
% 0.15/5.69 (?[A,B,C,F,H,T,Q,P]: ((((((((((perp(F,C,A,B)&coll(F,A,B))&perp(B,C,A,H))&perp(A,C,B,H))&perp(T,F,B,C))&coll(T,B,C))&perp(Q,F,A,H))&coll(Q,A,H))&perp(P,F,A,C))&coll(P,A,C))&~coll(P,Q,T)))),
% 0.15/5.69 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 0.15/5.69 fof(f370,plain,(
% 0.15/5.69 ?[T,Q,P]: ((?[A,C]: ((?[F]: ((?[H]: (((?[B]: (((((perp(F,C,A,B)&coll(F,A,B))&perp(B,C,A,H))&perp(A,C,B,H))&perp(T,F,B,C))&coll(T,B,C)))&perp(Q,F,A,H))&coll(Q,A,H)))&perp(P,F,A,C)))&coll(P,A,C)))&~coll(P,Q,T))),
% 0.15/5.69 inference(miniscoping,[status(thm)],[f369])).
% 0.15/5.69 fof(f371,plain,(
% 0.15/5.69 ((((((((((perp(sK25_skl,sK24_skl,sK23_skl,sK27_skl)&coll(sK25_skl,sK23_skl,sK27_skl))&perp(sK27_skl,sK24_skl,sK23_skl,sK26_skl))&perp(sK23_skl,sK24_skl,sK27_skl,sK26_skl))&perp(sK20_skl,sK25_skl,sK27_skl,sK24_skl))&coll(sK20_skl,sK27_skl,sK24_skl))&perp(sK21_skl,sK25_skl,sK23_skl,sK26_skl))&coll(sK21_skl,sK23_skl,sK26_skl))&perp(sK22_skl,sK25_skl,sK23_skl,sK24_skl))&coll(sK22_skl,sK23_skl,sK24_skl))&~coll(sK22_skl,sK21_skl,sK20_skl))),
% 0.15/5.69 inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl,sK21_skl,sK22_skl,sK23_skl,sK24_skl,sK25_skl,sK26_skl,sK27_skl]),skolemize(T,sK20_skl),skolemize(Q,sK21_skl),skolemize(P,sK22_skl),skolemize(A,sK23_skl),skolemize(C,sK24_skl),skolemize(F,sK25_skl),skolemize(H,sK26_skl),skolemize(B,sK27_skl)],[f370])).
% 0.15/5.69 fof(f376,plain,(
% 0.15/5.69 perp(sK20_skl,sK25_skl,sK27_skl,sK24_skl)),
% 0.15/5.69 inference(cnf_transformation,[status(thm)],[f371])).
% 0.15/5.69 fof(f382,plain,(
% 0.15/5.69 ~coll(sK22_skl,sK21_skl,sK20_skl)),
% 0.15/5.69 inference(cnf_transformation,[status(thm)],[f371])).
% 0.15/5.69 fof(f458,plain,(
% 0.15/5.69 perp(sK20_skl,sK25_skl,sK24_skl,sK27_skl)),
% 0.15/5.69 inference(resolution,[status(thm)],[f376,f112])).
% 0.15/5.69 fof(f473,plain,(
% 0.15/5.69 perp(sK27_skl,sK24_skl,sK20_skl,sK25_skl)),
% 0.15/5.69 inference(resolution,[status(thm)],[f114,f376])).
% 0.15/5.69 fof(f513,plain,(
% 0.15/5.69 ![X0,X1]: (~perp(X0,X1,sK20_skl,sK25_skl)|para(X0,X1,sK24_skl,sK27_skl))),
% 0.15/5.69 inference(resolution,[status(thm)],[f117,f458])).
% 0.15/5.69 fof(f631,plain,(
% 0.15/5.69 para(sK27_skl,sK24_skl,sK24_skl,sK27_skl)),
% 0.15/5.69 inference(resolution,[status(thm)],[f473,f513])).
% 0.15/5.69 fof(f642,plain,(
% 0.15/5.69 para(sK24_skl,sK27_skl,sK27_skl,sK24_skl)),
% 0.15/5.69 inference(resolution,[status(thm)],[f631,f107])).
% 0.15/5.69 fof(f647,plain,(
% 0.15/5.69 para(sK24_skl,sK27_skl,sK24_skl,sK27_skl)),
% 0.15/5.69 inference(resolution,[status(thm)],[f642,f105])).
% 0.15/5.69 fof(f648,plain,(
% 0.15/5.69 ![X0,X1]: (eqangle(sK24_skl,sK27_skl,X0,X1,sK24_skl,sK27_skl,X0,X1))),
% 0.15/5.69 inference(resolution,[status(thm)],[f647,f189])).
% 0.15/5.69 fof(f740,plain,(
% 0.15/5.69 ![X0,X1]: (eqangle(sK24_skl,sK27_skl,sK24_skl,sK27_skl,X0,X1,X0,X1))),
% 0.15/5.69 inference(resolution,[status(thm)],[f144,f648])).
% 0.15/5.69 fof(f1765,plain,(
% 0.15/5.69 ![X0]: (coll(sK24_skl,X0,sK27_skl)|cyclic(sK27_skl,sK27_skl,sK24_skl,X0))),
% 0.15/5.69 inference(resolution,[status(thm)],[f193,f740])).
% 0.15/5.69 fof(f1986,plain,(
% 0.15/5.69 ![X0]: (~coll(sK24_skl,X0,sK27_skl)|cyclic(sK27_skl,sK27_skl,sK24_skl,X0))),
% 0.15/5.69 inference(resolution,[status(thm)],[f195,f740])).
% 0.15/5.69 fof(f2038,plain,(
% 0.15/5.69 ![X0]: (cyclic(sK27_skl,sK27_skl,sK24_skl,X0))),
% 0.15/5.69 inference(forward_subsumption_resolution,[status(thm)],[f1986,f1765])).
% 0.15/5.69 fof(f2149,plain,(
% 0.15/5.69 ![X0,X1]: (~cyclic(sK27_skl,sK27_skl,sK24_skl,X0)|cyclic(sK27_skl,sK24_skl,X0,X1))),
% 0.15/5.69 inference(resolution,[status(thm)],[f2038,f136])).
% 0.15/5.69 fof(f2154,plain,(
% 0.15/5.69 ![X0,X1]: (cyclic(sK27_skl,sK24_skl,X0,X1))),
% 0.15/5.69 inference(forward_subsumption_resolution,[status(thm)],[f2149,f2038])).
% 0.15/5.69 fof(f2155,plain,(
% 0.15/5.69 ![X0,X1,X2]: (~cyclic(sK27_skl,sK24_skl,X0,X1)|cyclic(sK24_skl,X0,X1,X2))),
% 0.15/5.69 inference(resolution,[status(thm)],[f2154,f136])).
% 0.15/5.69 fof(f2160,plain,(
% 0.15/5.69 ![X0,X1,X2]: (cyclic(sK24_skl,X0,X1,X2))),
% 0.15/5.69 inference(forward_subsumption_resolution,[status(thm)],[f2155,f2154])).
% 0.15/5.69 fof(f2161,plain,(
% 0.15/5.69 ![X0,X1,X2,X3]: (~cyclic(sK24_skl,X0,X1,X2)|cyclic(X0,X1,X2,X3))),
% 0.15/5.69 inference(resolution,[status(thm)],[f2160,f136])).
% 0.15/5.69 fof(f2166,plain,(
% 0.15/5.69 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2))),
% 0.15/5.69 inference(backward_subsumption_resolution,[status(thm)],[f191,f2172])).
% 0.15/5.69 fof(f2171,plain,(
% 0.15/5.69 ![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))),
% 0.15/5.69 inference(backward_subsumption_resolution,[status(thm)],[f198,f2172])).
% 0.15/5.69 fof(f2172,plain,(
% 0.15/5.69 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3))),
% 0.15/5.69 inference(forward_subsumption_resolution,[status(thm)],[f2161,f2160])).
% 0.15/5.69 fof(f2173,plain,(
% 0.15/5.69 ![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))),
% 0.15/5.69 inference(forward_subsumption_resolution,[status(thm)],[f2171,f2172])).
% 0.15/5.69 fof(f2188,plain,(
% 0.15/5.69 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X1,X0,X3,X2,X3))),
% 0.15/5.69 inference(resolution,[status(thm)],[f2166,f144])).
% 0.15/5.69 fof(f2321,plain,(
% 0.15/5.69 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X0,X1,X3,X2,X3))),
% 0.15/5.69 inference(resolution,[status(thm)],[f2188,f138])).
% 0.15/5.69 fof(f2343,plain,(
% 0.15/5.69 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X1,X3,X0,X2,X3))),
% 0.15/5.69 inference(resolution,[status(thm)],[f2321,f142])).
% 0.15/5.69 fof(f2368,plain,(
% 0.15/5.69 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X1,X0,X3,X3,X2))),
% 0.15/5.69 inference(resolution,[status(thm)],[f2343,f140])).
% 0.15/5.69 fof(f2437,plain,(
% 0.15/5.69 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X0,X1,X3,X3,X2))),
% 0.15/5.69 inference(resolution,[status(thm)],[f2368,f138])).
% 0.15/5.69 fof(f2547,plain,(
% 0.15/5.69 ![X0,X1]: (~cyclic(X0,X1,X1,X1)|cong(X0,X1,X0,X1))),
% 0.15/5.69 inference(resolution,[status(thm)],[f2173,f2437])).
% 0.15/5.69 fof(f2640,plain,(
% 0.15/5.69 ![X0,X1]: (cong(X0,X1,X0,X1))),
% 0.15/5.69 inference(forward_subsumption_resolution,[status(thm)],[f2547,f2172])).
% 0.15/5.69 fof(f3124,plain,(
% 0.15/5.69 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X0,X0,X1,X2))),
% 0.15/5.69 inference(resolution,[status(thm)],[f232,f2640])).
% 0.15/5.69 fof(f3125,plain,(
% 0.15/5.69 ![X0,X1,X2]: (perp(X0,X0,X1,X2))),
% 0.15/5.69 inference(forward_subsumption_resolution,[status(thm)],[f3124,f2640])).
% 0.15/5.69 fof(f3285,plain,(
% 0.15/5.69 ![X0,X1,X2,X3,X4]: (~perp(X0,X1,X2,X2)|para(X0,X1,X3,X4))),
% 0.15/5.69 inference(resolution,[status(thm)],[f3125,f117])).
% 0.15/5.69 fof(f3286,plain,(
% 0.15/5.69 ![X0,X1,X2]: (perp(X0,X1,X2,X2))),
% 0.15/5.69 inference(resolution,[status(thm)],[f3125,f114])).
% 0.15/5.69 fof(f3288,plain,(
% 0.15/5.69 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3))),
% 0.15/5.69 inference(backward_subsumption_resolution,[status(thm)],[f3285,f3286])).
% 0.15/5.69 fof(f3322,plain,(
% 0.15/5.69 ![X0,X1,X2]: (coll(X0,X1,X2))),
% 0.15/5.69 inference(backward_subsumption_resolution,[status(thm)],[f256,f3288])).
% 0.15/5.69 fof(f3337,plain,(
% 0.15/5.69 $false),
% 0.15/5.69 inference(backward_subsumption_resolution,[status(thm)],[f382,f3322])).
% 0.15/5.69 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/5.72 % Elapsed time: 0.332925 seconds
% 0.15/5.72 % CPU time: 2.391532 seconds
% 0.15/5.72 % Total memory used: 107.711 MB
% 0.15/5.72 % Net memory used: 105.008 MB
%------------------------------------------------------------------------------