%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO560+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 : n006.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 12:26:38 PM UTC 2026
% Result : Theorem 0.16s 1.64s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO560+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
% 0.11/0.99 % Computer : n006.cluster.edu
% 0.11/0.99 % Model : x86_64 x86_64
% 0.11/0.99 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.99 % Memory : 8046.5625MB
% 0.11/0.99 % OS : Linux 6.8.0-71-generic
% 0.11/1.00 % CPULimit : 300
% 0.11/1.00 % WCLimit : 300
% 0.11/1.00 % DateTime : Sun Sep 20 17:29:16 UTC 2026
% 0.11/1.00 % CPUTime :
% 0.11/1.01 % Drodi V4.1.1
% 0.16/1.64 % Refutation found
% 0.16/1.64 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/1.64 % SZS output start CNFRefutation for theBenchmark
% 0.16/1.64 fof(f1,axiom,(
% 0.16/1.64 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 0.16/1.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/1.64 fof(f2,axiom,(
% 0.16/1.64 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 0.16/1.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/1.64 fof(f3,axiom,(
% 0.16/1.64 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 0.16/1.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/1.64 fof(f8,axiom,(
% 0.16/1.64 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 0.16/1.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/1.64 fof(f9,axiom,(
% 0.16/1.64 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 0.16/1.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/1.64 fof(f17,axiom,(
% 0.16/1.64 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 0.16/1.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/1.64 fof(f19,axiom,(
% 0.16/1.64 (! [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) ) )),
% 0.16/1.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/1.64 fof(f21,axiom,(
% 0.16/1.64 (! [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) ) )),
% 0.16/1.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/1.64 fof(f22,axiom,(
% 0.16/1.64 (! [A,B,C,D,P,Q,U,V,E,F,G,H] :( ( eqangle(A,B,C,D,P,Q,U,V)& eqangle(P,Q,U,V,E,F,G,H) )=> eqangle(A,B,C,D,E,F,G,H) ) )),
% 0.16/1.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/1.64 fof(f39,axiom,(
% 0.16/1.64 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 0.16/1.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/1.64 fof(f40,axiom,(
% 0.16/1.64 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 0.16/1.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/1.64 fof(f41,axiom,(
% 0.16/1.64 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 0.16/1.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/1.64 fof(f43,axiom,(
% 0.16/1.64 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 0.16/1.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/1.64 fof(f44,axiom,(
% 0.16/1.64 (! [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) ) )),
% 0.16/1.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/1.64 fof(f57,axiom,(
% 0.16/1.64 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 0.16/1.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/1.64 fof(f67,axiom,(
% 0.16/1.64 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 0.16/1.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/1.64 fof(f95,conjecture,(
% 0.16/1.64 (! [A,B,C,D,E,H,G] :( ( perp(D,A,B,C)& coll(D,B,C)& perp(E,B,A,C)& coll(E,A,C)& coll(H,A,D)& coll(H,B,E)& perp(G,H,A,B)& coll(G,A,B) )=> eqangle(E,G,G,H,H,G,G,D) ) )),
% 0.16/1.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/1.64 fof(f96,negated_conjecture,(
% 0.16/1.64 ~((! [A,B,C,D,E,H,G] :( ( perp(D,A,B,C)& coll(D,B,C)& perp(E,B,A,C)& coll(E,A,C)& coll(H,A,D)& coll(H,B,E)& perp(G,H,A,B)& coll(G,A,B) )=> eqangle(E,G,G,H,H,G,G,D) ) ))),
% 0.16/1.64 inference(negated_conjecture,[status(cth)],[f95])).
% 0.16/1.64 fof(f97,plain,(
% 0.16/1.64 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 0.16/1.64 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.16/1.64 fof(f98,plain,(
% 0.16/1.64 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 0.16/1.64 inference(cnf_transformation,[status(thm)],[f97])).
% 0.16/1.64 fof(f99,plain,(
% 0.16/1.64 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 0.16/1.64 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.16/1.64 fof(f100,plain,(
% 0.16/1.64 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 0.16/1.64 inference(cnf_transformation,[status(thm)],[f99])).
% 0.16/1.64 fof(f101,plain,(
% 0.16/1.64 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 0.16/1.64 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.16/1.64 fof(f102,plain,(
% 0.16/1.64 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 0.16/1.64 inference(miniscoping,[status(thm)],[f101])).
% 0.16/1.64 fof(f103,plain,(
% 0.16/1.64 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 0.16/1.64 inference(cnf_transformation,[status(thm)],[f102])).
% 0.16/1.64 fof(f113,plain,(
% 0.16/1.64 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 0.16/1.64 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.16/1.64 fof(f114,plain,(
% 0.16/1.64 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 0.16/1.64 inference(cnf_transformation,[status(thm)],[f113])).
% 0.16/1.64 fof(f115,plain,(
% 0.16/1.64 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 0.16/1.64 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.16/1.64 fof(f116,plain,(
% 0.16/1.64 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 0.16/1.64 inference(miniscoping,[status(thm)],[f115])).
% 0.16/1.64 fof(f117,plain,(
% 0.16/1.64 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 0.16/1.64 inference(cnf_transformation,[status(thm)],[f116])).
% 0.16/1.64 fof(f134,plain,(
% 0.16/1.64 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 0.16/1.64 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 0.16/1.64 fof(f135,plain,(
% 0.16/1.64 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 0.16/1.64 inference(miniscoping,[status(thm)],[f134])).
% 0.16/1.64 fof(f136,plain,(
% 0.16/1.64 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 0.16/1.64 inference(cnf_transformation,[status(thm)],[f135])).
% 0.16/1.64 fof(f139,plain,(
% 0.16/1.64 ![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))),
% 0.16/1.64 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 0.16/1.64 fof(f140,plain,(
% 0.16/1.64 ![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))),
% 0.16/1.64 inference(cnf_transformation,[status(thm)],[f139])).
% 0.16/1.64 fof(f143,plain,(
% 0.16/1.64 ![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))),
% 0.16/1.64 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 0.16/1.64 fof(f144,plain,(
% 0.16/1.64 ![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))),
% 0.16/1.64 inference(cnf_transformation,[status(thm)],[f143])).
% 0.16/1.64 fof(f145,plain,(
% 0.16/1.64 ![A,B,C,D,P,Q,U,V,E,F,G,H]: ((~eqangle(A,B,C,D,P,Q,U,V)|~eqangle(P,Q,U,V,E,F,G,H))|eqangle(A,B,C,D,E,F,G,H))),
% 0.16/1.64 inference(pre_NNF_transformation,[status(thm)],[f22])).
% 0.16/1.64 fof(f146,plain,(
% 0.16/1.64 ![A,B,C,D,E,F,G,H]: ((![P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|~eqangle(P,Q,U,V,E,F,G,H)))|eqangle(A,B,C,D,E,F,G,H))),
% 0.16/1.64 inference(miniscoping,[status(thm)],[f145])).
% 0.16/1.64 fof(f147,plain,(
% 0.16/1.64 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|~eqangle(X4,X5,X6,X7,X8,X9,X10,X11)|eqangle(X0,X1,X2,X3,X8,X9,X10,X11))),
% 0.16/1.64 inference(cnf_transformation,[status(thm)],[f146])).
% 0.16/1.64 fof(f184,plain,(
% 0.16/1.64 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 0.16/1.64 inference(pre_NNF_transformation,[status(thm)],[f39])).
% 0.16/1.64 fof(f185,plain,(
% 0.16/1.64 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 0.16/1.64 inference(miniscoping,[status(thm)],[f184])).
% 0.16/1.64 fof(f186,plain,(
% 0.16/1.64 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 0.16/1.64 inference(cnf_transformation,[status(thm)],[f185])).
% 0.16/1.64 fof(f187,plain,(
% 0.16/1.64 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 0.16/1.64 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 0.16/1.64 fof(f188,plain,(
% 0.16/1.64 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 0.16/1.64 inference(miniscoping,[status(thm)],[f187])).
% 0.16/1.64 fof(f189,plain,(
% 0.16/1.64 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 0.16/1.64 inference(cnf_transformation,[status(thm)],[f188])).
% 0.16/1.64 fof(f190,plain,(
% 0.16/1.64 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 0.16/1.64 inference(pre_NNF_transformation,[status(thm)],[f41])).
% 0.16/1.64 fof(f191,plain,(
% 0.16/1.64 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 0.16/1.64 inference(cnf_transformation,[status(thm)],[f190])).
% 0.16/1.64 fof(f194,plain,(
% 0.16/1.64 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 0.16/1.64 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 0.16/1.64 fof(f195,plain,(
% 0.16/1.64 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 0.16/1.64 inference(cnf_transformation,[status(thm)],[f194])).
% 0.16/1.64 fof(f196,plain,(
% 0.16/1.64 ![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))),
% 0.16/1.64 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 0.16/1.64 fof(f197,plain,(
% 0.16/1.64 ![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))),
% 0.16/1.64 inference(miniscoping,[status(thm)],[f196])).
% 0.16/1.64 fof(f198,plain,(
% 0.16/1.64 ![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))),
% 0.16/1.64 inference(cnf_transformation,[status(thm)],[f197])).
% 0.16/1.64 fof(f231,plain,(
% 0.16/1.64 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 0.16/1.64 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 0.16/1.64 fof(f232,plain,(
% 0.16/1.64 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 0.16/1.64 inference(cnf_transformation,[status(thm)],[f231])).
% 0.16/1.64 fof(f255,plain,(
% 0.16/1.64 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 0.16/1.64 inference(pre_NNF_transformation,[status(thm)],[f67])).
% 0.16/1.64 fof(f256,plain,(
% 0.16/1.64 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 0.16/1.64 inference(cnf_transformation,[status(thm)],[f255])).
% 0.16/1.64 fof(f369,plain,(
% 0.16/1.64 (?[A,B,C,D,E,H,G]: ((((((((perp(D,A,B,C)&coll(D,B,C))&perp(E,B,A,C))&coll(E,A,C))&coll(H,A,D))&coll(H,B,E))&perp(G,H,A,B))&coll(G,A,B))&~eqangle(E,G,G,H,H,G,G,D)))),
% 0.16/1.64 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 0.16/1.64 fof(f370,plain,(
% 0.16/1.64 ?[D,E,H,G]: ((?[A,B]: (((((?[C]: (((perp(D,A,B,C)&coll(D,B,C))&perp(E,B,A,C))&coll(E,A,C)))&coll(H,A,D))&coll(H,B,E))&perp(G,H,A,B))&coll(G,A,B)))&~eqangle(E,G,G,H,H,G,G,D))),
% 0.16/1.64 inference(miniscoping,[status(thm)],[f369])).
% 0.16/1.64 fof(f371,plain,(
% 0.16/1.64 ((((((((perp(sK20_skl,sK24_skl,sK25_skl,sK26_skl)&coll(sK20_skl,sK25_skl,sK26_skl))&perp(sK21_skl,sK25_skl,sK24_skl,sK26_skl))&coll(sK21_skl,sK24_skl,sK26_skl))&coll(sK22_skl,sK24_skl,sK20_skl))&coll(sK22_skl,sK25_skl,sK21_skl))&perp(sK23_skl,sK22_skl,sK24_skl,sK25_skl))&coll(sK23_skl,sK24_skl,sK25_skl))&~eqangle(sK21_skl,sK23_skl,sK23_skl,sK22_skl,sK22_skl,sK23_skl,sK23_skl,sK20_skl))),
% 0.16/1.64 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(E,sK21_skl),skolemize(H,sK22_skl),skolemize(G,sK23_skl),skolemize(A,sK24_skl),skolemize(B,sK25_skl),skolemize(C,sK26_skl)],[f370])).
% 0.16/1.64 fof(f374,plain,(
% 0.16/1.64 perp(sK21_skl,sK25_skl,sK24_skl,sK26_skl)),
% 0.16/1.64 inference(cnf_transformation,[status(thm)],[f371])).
% 0.16/1.64 fof(f380,plain,(
% 0.16/1.64 ~eqangle(sK21_skl,sK23_skl,sK23_skl,sK22_skl,sK22_skl,sK23_skl,sK23_skl,sK20_skl)),
% 0.16/1.64 inference(cnf_transformation,[status(thm)],[f371])).
% 0.16/1.64 fof(f401,plain,(
% 0.16/1.64 perp(sK24_skl,sK26_skl,sK21_skl,sK25_skl)),
% 0.16/1.64 inference(resolution,[status(thm)],[f114,f374])).
% 0.16/1.64 fof(f403,plain,(
% 0.16/1.64 ![X0,X1]: (~perp(sK24_skl,sK26_skl,X0,X1)|para(sK21_skl,sK25_skl,X0,X1))),
% 0.16/1.64 inference(resolution,[status(thm)],[f117,f374])).
% 0.16/1.64 fof(f482,plain,(
% 0.16/1.64 para(sK21_skl,sK25_skl,sK21_skl,sK25_skl)),
% 0.16/1.64 inference(resolution,[status(thm)],[f403,f401])).
% 0.16/1.64 fof(f688,plain,(
% 0.16/1.64 ![X0,X1]: (eqangle(sK21_skl,sK25_skl,X0,X1,sK21_skl,sK25_skl,X0,X1))),
% 0.16/1.64 inference(resolution,[status(thm)],[f482,f189])).
% 0.16/1.64 fof(f1688,plain,(
% 0.16/1.64 ![X0,X1]: (eqangle(sK21_skl,sK25_skl,sK21_skl,sK25_skl,X0,X1,X0,X1))),
% 0.16/1.64 inference(resolution,[status(thm)],[f688,f144])).
% 0.16/1.64 fof(f1690,plain,(
% 0.16/1.64 ![X0,X1]: (eqangle(X0,X1,sK21_skl,sK25_skl,X0,X1,sK21_skl,sK25_skl))),
% 0.16/1.64 inference(resolution,[status(thm)],[f688,f140])).
% 0.16/1.64 fof(f3054,plain,(
% 0.16/1.64 ![X0,X1]: (para(X0,X1,X0,X1))),
% 0.16/1.64 inference(resolution,[status(thm)],[f1690,f186])).
% 0.16/1.64 fof(f3077,plain,(
% 0.16/1.64 ![X0,X1]: (coll(X0,X1,X1))),
% 0.16/1.64 inference(resolution,[status(thm)],[f3054,f256])).
% 0.16/1.64 fof(f3161,plain,(
% 0.16/1.64 ![X0,X1]: (coll(X0,X1,X0))),
% 0.16/1.64 inference(resolution,[status(thm)],[f3077,f100])).
% 0.16/1.64 fof(f3265,plain,(
% 0.16/1.64 ![X0,X1]: (coll(X0,X0,X1))),
% 0.16/1.64 inference(resolution,[status(thm)],[f3161,f98])).
% 0.16/1.64 fof(f3298,plain,(
% 0.16/1.64 ![X0,X1,X2]: (~coll(X0,X0,X1)|coll(X2,X1,X0))),
% 0.16/1.64 inference(resolution,[status(thm)],[f3265,f103])).
% 0.16/1.64 fof(f3301,plain,(
% 0.16/1.64 ![X0,X1,X2]: (coll(X0,X1,X2))),
% 0.16/1.64 inference(forward_subsumption_resolution,[status(thm)],[f3298,f3265])).
% 0.16/1.64 fof(f3309,plain,(
% 0.16/1.64 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|cyclic(X1,X2,X0,X3))),
% 0.16/1.64 inference(backward_subsumption_resolution,[status(thm)],[f195,f3301])).
% 0.16/1.64 fof(f3349,plain,(
% 0.16/1.64 ![X0]: (cyclic(sK25_skl,sK25_skl,sK21_skl,X0))),
% 0.16/1.64 inference(resolution,[status(thm)],[f3309,f1688])).
% 0.16/1.64 fof(f3930,plain,(
% 0.16/1.64 ![X0,X1]: (~cyclic(sK25_skl,sK25_skl,sK21_skl,X0)|cyclic(sK25_skl,sK21_skl,X1,X0))),
% 0.16/1.64 inference(resolution,[status(thm)],[f3349,f136])).
% 0.16/1.65 fof(f3951,plain,(
% 0.16/1.65 ![X0,X1]: (cyclic(sK25_skl,sK21_skl,X0,X1))),
% 0.16/1.65 inference(forward_subsumption_resolution,[status(thm)],[f3930,f3349])).
% 0.16/1.65 fof(f4022,plain,(
% 0.16/1.65 ![X0,X1,X2]: (~cyclic(sK25_skl,sK21_skl,X0,X1)|cyclic(sK21_skl,X0,X2,X1))),
% 0.16/1.65 inference(resolution,[status(thm)],[f3951,f136])).
% 0.16/1.65 fof(f4037,plain,(
% 0.16/1.65 ![X0,X1,X2]: (cyclic(sK21_skl,X0,X1,X2))),
% 0.16/1.65 inference(forward_subsumption_resolution,[status(thm)],[f4022,f3951])).
% 0.16/1.65 fof(f4076,plain,(
% 0.16/1.65 ![X0,X1,X2,X3]: (~cyclic(sK21_skl,X0,X1,X2)|cyclic(X0,X1,X3,X2))),
% 0.16/1.65 inference(resolution,[status(thm)],[f4037,f136])).
% 0.16/1.65 fof(f4080,plain,(
% 0.16/1.65 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3))),
% 0.16/1.65 inference(forward_subsumption_resolution,[status(thm)],[f4076,f4037])).
% 0.16/1.65 fof(f4086,plain,(
% 0.16/1.65 ![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))),
% 0.16/1.65 inference(backward_subsumption_resolution,[status(thm)],[f198,f4080])).
% 0.16/1.65 fof(f4089,plain,(
% 0.16/1.65 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2))),
% 0.16/1.65 inference(backward_subsumption_resolution,[status(thm)],[f191,f4080])).
% 0.16/1.65 fof(f4093,plain,(
% 0.16/1.65 ![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))),
% 0.16/1.65 inference(forward_subsumption_resolution,[status(thm)],[f4086,f4080])).
% 0.16/1.65 fof(f4094,plain,(
% 0.16/1.65 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X0,X2,X3,X4,X3,X5)|cong(X1,X2,X4,X5))),
% 0.16/1.65 inference(forward_subsumption_resolution,[status(thm)],[f4093,f4080])).
% 0.16/1.65 fof(f4115,plain,(
% 0.16/1.65 ![X0,X1]: (cong(X0,X1,X0,X1))),
% 0.16/1.65 inference(resolution,[status(thm)],[f4089,f4094])).
% 0.16/1.65 fof(f4136,plain,(
% 0.16/1.65 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X0,X0,X2,X1))),
% 0.16/1.65 inference(resolution,[status(thm)],[f4115,f232])).
% 0.16/1.65 fof(f4144,plain,(
% 0.16/1.65 ![X0,X1,X2]: (perp(X0,X0,X1,X2))),
% 0.16/1.65 inference(forward_subsumption_resolution,[status(thm)],[f4136,f4115])).
% 0.16/1.65 fof(f4263,plain,(
% 0.16/1.65 ![X0,X1,X2]: (perp(X0,X1,X2,X2))),
% 0.16/1.65 inference(resolution,[status(thm)],[f4144,f114])).
% 0.16/1.65 fof(f4396,plain,(
% 0.16/1.65 ![X0,X1,X2,X3,X4]: (~perp(X0,X0,X1,X2)|para(X3,X4,X1,X2))),
% 0.16/1.65 inference(resolution,[status(thm)],[f4263,f117])).
% 0.16/1.65 fof(f4400,plain,(
% 0.16/1.65 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3))),
% 0.16/1.65 inference(forward_subsumption_resolution,[status(thm)],[f4396,f4144])).
% 0.16/1.65 fof(f4504,plain,(
% 0.16/1.65 ![X0,X1,X2,X3,X4,X5]: (eqangle(X0,X1,X2,X3,X4,X5,X2,X3))),
% 0.16/1.65 inference(backward_subsumption_resolution,[status(thm)],[f189,f4400])).
% 0.16/1.65 fof(f4610,plain,(
% 0.16/1.65 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|eqangle(X8,X9,X2,X3,X4,X5,X6,X7))),
% 0.16/1.65 inference(resolution,[status(thm)],[f4504,f147])).
% 0.16/1.65 fof(f4613,plain,(
% 0.16/1.65 ![X0,X1,X2,X3,X4,X5]: (eqangle(X0,X1,X2,X3,X0,X1,X4,X5))),
% 0.16/1.65 inference(resolution,[status(thm)],[f4504,f140])).
% 0.16/1.65 fof(f4847,plain,(
% 0.16/1.65 ![X0,X1,X2,X3,X4,X5,X6,X7]: (eqangle(X0,X1,X2,X3,X4,X5,X6,X7))),
% 0.16/1.65 inference(resolution,[status(thm)],[f4613,f4610])).
% 0.16/1.65 fof(f5448,plain,(
% 0.16/1.65 $false),
% 0.16/1.65 inference(backward_subsumption_resolution,[status(thm)],[f380,f4847])).
% 0.16/1.65 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/1.65 % Elapsed time: 0.644770 seconds
% 0.16/1.65 % CPU time: 4.878865 seconds
% 0.16/1.65 % Total memory used: 121.771 MB
% 0.16/1.65 % Net memory used: 117.433 MB
%------------------------------------------------------------------------------