%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO568+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 : n010.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 5.93s 6.28s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO568+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
% 0.11/5.39 % Computer : n010.cluster.edu
% 0.11/5.39 % Model : x86_64 x86_64
% 0.11/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.39 % Memory : 8046.5625MB
% 0.11/5.39 % OS : Linux 6.8.0-71-generic
% 0.11/5.39 % CPULimit : 300
% 0.11/5.39 % WCLimit : 300
% 0.11/5.39 % DateTime : Sun Sep 20 17:31:17 UTC 2026
% 0.11/5.39 % CPUTime :
% 0.14/5.41 % Drodi V4.1.1
% 5.93/6.28 % Refutation found
% 5.93/6.28 % SZS status Theorem for theBenchmark: Theorem is valid
% 5.93/6.28 % SZS output start CNFRefutation for theBenchmark
% 5.93/6.28 fof(f5,axiom,(
% 5.93/6.28 (! [A,B,C,D] :( para(A,B,C,D)=> para(C,D,A,B) ) )),
% 5.93/6.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.93/6.28 fof(f6,axiom,(
% 5.93/6.28 (! [A,B,C,D,E,F] :( ( para(A,B,C,D)& para(C,D,E,F) )=> para(A,B,E,F) ) )),
% 5.93/6.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.93/6.28 fof(f8,axiom,(
% 5.93/6.28 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 5.93/6.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.93/6.28 fof(f9,axiom,(
% 5.93/6.28 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 5.93/6.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.93/6.28 fof(f10,axiom,(
% 5.93/6.28 (! [A,B,C,D,E,F] :( ( para(A,B,C,D)& perp(C,D,E,F) )=> perp(A,B,E,F) ) )),
% 5.93/6.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.93/6.28 fof(f17,axiom,(
% 5.93/6.28 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 5.93/6.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.93/6.28 fof(f18,axiom,(
% 5.93/6.29 (! [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) ) )),
% 5.93/6.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.93/6.29 fof(f19,axiom,(
% 5.93/6.29 (! [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) ) )),
% 5.93/6.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.93/6.29 fof(f21,axiom,(
% 5.93/6.29 (! [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) ) )),
% 5.93/6.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.93/6.29 fof(f39,axiom,(
% 5.93/6.29 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 5.93/6.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.93/6.29 fof(f40,axiom,(
% 5.93/6.29 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 5.93/6.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.93/6.29 fof(f42,axiom,(
% 5.93/6.29 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& ~ coll(P,Q,A) )=> cyclic(A,B,P,Q) ) )),
% 5.93/6.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.93/6.29 fof(f43,axiom,(
% 5.93/6.29 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 5.93/6.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.93/6.29 fof(f44,axiom,(
% 5.93/6.29 (! [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) ) )),
% 5.93/6.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.93/6.29 fof(f57,axiom,(
% 5.93/6.29 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 5.93/6.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.93/6.29 fof(f95,conjecture,(
% 5.93/6.29 (! [A,B,C,O,D,E,MIDPNT1,MIDPNT2,MIDPNT3] :( ( midp(MIDPNT1,A,B)& perp(A,B,MIDPNT1,O)& midp(MIDPNT2,A,C)& perp(A,C,MIDPNT2,O)& midp(MIDPNT3,B,C)& perp(B,C,MIDPNT3,O)& perp(D,C,A,B)& coll(D,A,B)& perp(E,B,A,C)& coll(E,A,C) )=> perp(A,O,D,E) ) )),
% 5.93/6.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.93/6.29 fof(f96,negated_conjecture,(
% 5.93/6.29 ~((! [A,B,C,O,D,E,MIDPNT1,MIDPNT2,MIDPNT3] :( ( midp(MIDPNT1,A,B)& perp(A,B,MIDPNT1,O)& midp(MIDPNT2,A,C)& perp(A,C,MIDPNT2,O)& midp(MIDPNT3,B,C)& perp(B,C,MIDPNT3,O)& perp(D,C,A,B)& coll(D,A,B)& perp(E,B,A,C)& coll(E,A,C) )=> perp(A,O,D,E) ) ))),
% 5.93/6.29 inference(negated_conjecture,[status(cth)],[f95])).
% 5.93/6.29 fof(f106,plain,(
% 5.93/6.29 ![A,B,C,D]: (~para(A,B,C,D)|para(C,D,A,B))),
% 5.93/6.29 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 5.93/6.29 fof(f107,plain,(
% 5.93/6.29 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X2,X3,X0,X1))),
% 5.93/6.29 inference(cnf_transformation,[status(thm)],[f106])).
% 5.93/6.29 fof(f108,plain,(
% 5.93/6.29 ![A,B,C,D,E,F]: ((~para(A,B,C,D)|~para(C,D,E,F))|para(A,B,E,F))),
% 5.93/6.29 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 5.93/6.29 fof(f109,plain,(
% 5.93/6.29 ![A,B,E,F]: ((![C,D]: (~para(A,B,C,D)|~para(C,D,E,F)))|para(A,B,E,F))),
% 5.93/6.29 inference(miniscoping,[status(thm)],[f108])).
% 5.93/6.29 fof(f110,plain,(
% 5.93/6.29 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|~para(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 5.93/6.29 inference(cnf_transformation,[status(thm)],[f109])).
% 5.93/6.29 fof(f113,plain,(
% 5.93/6.29 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 5.93/6.29 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 5.93/6.29 fof(f114,plain,(
% 5.93/6.29 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 5.93/6.29 inference(cnf_transformation,[status(thm)],[f113])).
% 5.93/6.29 fof(f115,plain,(
% 5.93/6.29 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 5.93/6.29 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 5.93/6.29 fof(f116,plain,(
% 5.93/6.29 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 5.93/6.29 inference(miniscoping,[status(thm)],[f115])).
% 5.93/6.29 fof(f117,plain,(
% 5.93/6.29 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 5.93/6.29 inference(cnf_transformation,[status(thm)],[f116])).
% 5.93/6.29 fof(f118,plain,(
% 5.93/6.29 ![A,B,C,D,E,F]: ((~para(A,B,C,D)|~perp(C,D,E,F))|perp(A,B,E,F))),
% 5.93/6.29 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 5.93/6.29 fof(f119,plain,(
% 5.93/6.29 ![A,B,E,F]: ((![C,D]: (~para(A,B,C,D)|~perp(C,D,E,F)))|perp(A,B,E,F))),
% 5.93/6.29 inference(miniscoping,[status(thm)],[f118])).
% 5.93/6.29 fof(f120,plain,(
% 5.93/6.29 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|perp(X0,X1,X4,X5))),
% 5.93/6.29 inference(cnf_transformation,[status(thm)],[f119])).
% 5.93/6.29 fof(f134,plain,(
% 5.93/6.29 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 5.93/6.29 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 5.93/6.29 fof(f135,plain,(
% 5.93/6.29 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 5.93/6.29 inference(miniscoping,[status(thm)],[f134])).
% 5.93/6.29 fof(f136,plain,(
% 5.93/6.29 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 5.93/6.29 inference(cnf_transformation,[status(thm)],[f135])).
% 5.93/6.29 fof(f137,plain,(
% 5.93/6.29 ![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))),
% 5.93/6.29 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 5.93/6.29 fof(f138,plain,(
% 5.93/6.29 ![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))),
% 5.93/6.29 inference(cnf_transformation,[status(thm)],[f137])).
% 5.93/6.29 fof(f139,plain,(
% 5.93/6.29 ![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))),
% 5.93/6.29 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 5.93/6.29 fof(f140,plain,(
% 5.93/6.29 ![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))),
% 5.93/6.29 inference(cnf_transformation,[status(thm)],[f139])).
% 5.93/6.29 fof(f143,plain,(
% 5.93/6.29 ![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))),
% 5.93/6.29 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 5.93/6.29 fof(f144,plain,(
% 5.93/6.29 ![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))),
% 5.93/6.29 inference(cnf_transformation,[status(thm)],[f143])).
% 5.93/6.29 fof(f184,plain,(
% 5.93/6.29 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 5.93/6.29 inference(pre_NNF_transformation,[status(thm)],[f39])).
% 5.93/6.29 fof(f185,plain,(
% 5.93/6.29 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 5.93/6.29 inference(miniscoping,[status(thm)],[f184])).
% 5.93/6.29 fof(f186,plain,(
% 5.93/6.29 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 5.93/6.29 inference(cnf_transformation,[status(thm)],[f185])).
% 5.93/6.29 fof(f187,plain,(
% 5.93/6.29 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 5.93/6.29 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 5.93/6.29 fof(f188,plain,(
% 5.93/6.29 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 5.93/6.29 inference(miniscoping,[status(thm)],[f187])).
% 5.93/6.29 fof(f189,plain,(
% 5.93/6.29 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 5.93/6.29 inference(cnf_transformation,[status(thm)],[f188])).
% 5.93/6.29 fof(f192,plain,(
% 5.93/6.29 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|coll(P,Q,A))|cyclic(A,B,P,Q))),
% 5.93/6.29 inference(pre_NNF_transformation,[status(thm)],[f42])).
% 5.93/6.29 fof(f193,plain,(
% 5.93/6.29 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|coll(X0,X3,X1)|cyclic(X1,X2,X0,X3))),
% 5.93/6.29 inference(cnf_transformation,[status(thm)],[f192])).
% 5.93/6.29 fof(f194,plain,(
% 5.93/6.29 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 5.93/6.29 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 5.93/6.29 fof(f195,plain,(
% 5.93/6.29 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 5.93/6.29 inference(cnf_transformation,[status(thm)],[f194])).
% 5.93/6.29 fof(f196,plain,(
% 5.93/6.29 ![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))),
% 5.93/6.29 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 5.93/6.29 fof(f197,plain,(
% 5.93/6.29 ![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))),
% 5.93/6.29 inference(miniscoping,[status(thm)],[f196])).
% 5.93/6.29 fof(f198,plain,(
% 5.93/6.29 ![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))),
% 5.93/6.29 inference(cnf_transformation,[status(thm)],[f197])).
% 5.93/6.29 fof(f231,plain,(
% 5.93/6.29 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 5.93/6.29 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 5.93/6.29 fof(f232,plain,(
% 5.93/6.29 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 5.93/6.29 inference(cnf_transformation,[status(thm)],[f231])).
% 5.93/6.29 fof(f369,plain,(
% 5.93/6.29 (?[A,B,C,O,D,E,MIDPNT1,MIDPNT2,MIDPNT3]: ((((((((((midp(MIDPNT1,A,B)&perp(A,B,MIDPNT1,O))&midp(MIDPNT2,A,C))&perp(A,C,MIDPNT2,O))&midp(MIDPNT3,B,C))&perp(B,C,MIDPNT3,O))&perp(D,C,A,B))&coll(D,A,B))&perp(E,B,A,C))&coll(E,A,C))&~perp(A,O,D,E)))),
% 5.93/6.29 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 5.93/6.29 fof(f370,plain,(
% 5.93/6.29 ?[A,O,D,E]: ((?[C]: ((?[B]: ((((?[MIDPNT3]: (((?[MIDPNT2]: (((?[MIDPNT1]: (midp(MIDPNT1,A,B)&perp(A,B,MIDPNT1,O)))&midp(MIDPNT2,A,C))&perp(A,C,MIDPNT2,O)))&midp(MIDPNT3,B,C))&perp(B,C,MIDPNT3,O)))&perp(D,C,A,B))&coll(D,A,B))&perp(E,B,A,C)))&coll(E,A,C)))&~perp(A,O,D,E))),
% 5.93/6.29 inference(miniscoping,[status(thm)],[f369])).
% 5.93/6.29 fof(f371,plain,(
% 5.93/6.29 ((((((((((midp(sK28_skl,sK20_skl,sK25_skl)&perp(sK20_skl,sK25_skl,sK28_skl,sK21_skl))&midp(sK27_skl,sK20_skl,sK24_skl))&perp(sK20_skl,sK24_skl,sK27_skl,sK21_skl))&midp(sK26_skl,sK25_skl,sK24_skl))&perp(sK25_skl,sK24_skl,sK26_skl,sK21_skl))&perp(sK22_skl,sK24_skl,sK20_skl,sK25_skl))&coll(sK22_skl,sK20_skl,sK25_skl))&perp(sK23_skl,sK25_skl,sK20_skl,sK24_skl))&coll(sK23_skl,sK20_skl,sK24_skl))&~perp(sK20_skl,sK21_skl,sK22_skl,sK23_skl))),
% 5.93/6.29 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(A,sK20_skl),skolemize(O,sK21_skl),skolemize(D,sK22_skl),skolemize(E,sK23_skl),skolemize(C,sK24_skl),skolemize(B,sK25_skl),skolemize(MIDPNT3,sK26_skl),skolemize(MIDPNT2,sK27_skl),skolemize(MIDPNT1,sK28_skl)],[f370])).
% 5.93/6.29 fof(f373,plain,(
% 5.93/6.29 perp(sK20_skl,sK25_skl,sK28_skl,sK21_skl)),
% 5.93/6.29 inference(cnf_transformation,[status(thm)],[f371])).
% 5.93/6.29 fof(f378,plain,(
% 5.93/6.29 perp(sK22_skl,sK24_skl,sK20_skl,sK25_skl)),
% 5.93/6.29 inference(cnf_transformation,[status(thm)],[f371])).
% 5.93/6.29 fof(f382,plain,(
% 5.93/6.29 ~perp(sK20_skl,sK21_skl,sK22_skl,sK23_skl)),
% 5.93/6.29 inference(cnf_transformation,[status(thm)],[f371])).
% 5.93/6.29 fof(f524,plain,(
% 5.93/6.29 ![X0,X1]: (~perp(X0,X1,sK20_skl,sK25_skl)|para(X0,X1,sK28_skl,sK21_skl))),
% 5.93/6.29 inference(resolution,[status(thm)],[f117,f373])).
% 5.93/6.29 fof(f641,plain,(
% 5.93/6.29 para(sK22_skl,sK24_skl,sK28_skl,sK21_skl)),
% 5.93/6.29 inference(resolution,[status(thm)],[f378,f524])).
% 5.93/6.29 fof(f668,plain,(
% 5.93/6.29 para(sK28_skl,sK21_skl,sK22_skl,sK24_skl)),
% 5.93/6.29 inference(resolution,[status(thm)],[f641,f107])).
% 5.93/6.29 fof(f673,plain,(
% 5.93/6.29 ![X0,X1]: (~para(X0,X1,sK28_skl,sK21_skl)|para(X0,X1,sK22_skl,sK24_skl))),
% 5.93/6.29 inference(resolution,[status(thm)],[f668,f110])).
% 5.93/6.29 fof(f765,plain,(
% 5.93/6.29 para(sK22_skl,sK24_skl,sK22_skl,sK24_skl)),
% 5.93/6.29 inference(resolution,[status(thm)],[f673,f641])).
% 5.93/6.29 fof(f825,plain,(
% 5.93/6.29 ![X0,X1]: (eqangle(sK22_skl,sK24_skl,X0,X1,sK22_skl,sK24_skl,X0,X1))),
% 5.93/6.29 inference(resolution,[status(thm)],[f189,f765])).
% 5.93/6.29 fof(f965,plain,(
% 5.93/6.29 ![X0,X1]: (eqangle(sK22_skl,sK24_skl,sK22_skl,sK24_skl,X0,X1,X0,X1))),
% 5.93/6.29 inference(resolution,[status(thm)],[f825,f144])).
% 5.93/6.29 fof(f967,plain,(
% 5.93/6.29 ![X0,X1]: (eqangle(X0,X1,sK22_skl,sK24_skl,X0,X1,sK22_skl,sK24_skl))),
% 5.93/6.29 inference(resolution,[status(thm)],[f825,f140])).
% 5.93/6.29 fof(f1301,plain,(
% 5.93/6.29 ![X0,X1]: (eqangle(X0,X1,sK22_skl,sK24_skl,X1,X0,sK22_skl,sK24_skl))),
% 5.93/6.29 inference(resolution,[status(thm)],[f967,f138])).
% 5.93/6.29 fof(f1962,plain,(
% 5.93/6.29 ![X0,X1]: (para(X0,X1,X1,X0))),
% 5.93/6.29 inference(resolution,[status(thm)],[f186,f1301])).
% 5.93/6.29 fof(f2018,plain,(
% 5.93/6.29 ![X0]: (coll(sK22_skl,X0,sK24_skl)|cyclic(sK24_skl,sK24_skl,sK22_skl,X0))),
% 5.93/6.29 inference(resolution,[status(thm)],[f193,f965])).
% 5.93/6.29 fof(f2191,plain,(
% 5.93/6.29 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X3,X1,X0,X2,X3))),
% 5.93/6.29 inference(resolution,[status(thm)],[f1962,f189])).
% 5.93/6.29 fof(f2304,plain,(
% 5.93/6.29 ![X0]: (~coll(sK22_skl,X0,sK24_skl)|cyclic(sK24_skl,sK24_skl,sK22_skl,X0))),
% 5.93/6.29 inference(resolution,[status(thm)],[f195,f965])).
% 5.93/6.31 fof(f2322,plain,(
% 5.93/6.31 ![X0]: (cyclic(sK24_skl,sK24_skl,sK22_skl,X0))),
% 5.93/6.31 inference(forward_subsumption_resolution,[status(thm)],[f2304,f2018])).
% 5.93/6.31 fof(f3121,plain,(
% 5.93/6.31 ![X0,X1]: (~cyclic(sK24_skl,sK24_skl,sK22_skl,X0)|cyclic(sK24_skl,sK22_skl,X0,X1))),
% 5.93/6.31 inference(resolution,[status(thm)],[f2322,f136])).
% 5.93/6.31 fof(f3125,plain,(
% 5.93/6.31 ![X0,X1]: (cyclic(sK24_skl,sK22_skl,X0,X1))),
% 5.93/6.31 inference(forward_subsumption_resolution,[status(thm)],[f3121,f2322])).
% 5.93/6.31 fof(f3127,plain,(
% 5.93/6.31 ![X0,X1,X2]: (~cyclic(sK24_skl,sK22_skl,X0,X1)|cyclic(sK22_skl,X0,X1,X2))),
% 5.93/6.31 inference(resolution,[status(thm)],[f3125,f136])).
% 5.93/6.31 fof(f3144,plain,(
% 5.93/6.31 ![X0,X1,X2]: (cyclic(sK22_skl,X0,X1,X2))),
% 5.93/6.31 inference(forward_subsumption_resolution,[status(thm)],[f3127,f3125])).
% 5.93/6.31 fof(f3161,plain,(
% 5.93/6.31 ![X0,X1,X2,X3]: (~cyclic(sK22_skl,X0,X1,X2)|cyclic(X0,X1,X2,X3))),
% 5.93/6.31 inference(resolution,[status(thm)],[f3144,f136])).
% 5.93/6.31 fof(f3165,plain,(
% 5.93/6.31 ![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))),
% 5.93/6.31 inference(backward_subsumption_resolution,[status(thm)],[f198,f3227])).
% 5.93/6.31 fof(f3227,plain,(
% 5.93/6.31 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3))),
% 5.93/6.31 inference(forward_subsumption_resolution,[status(thm)],[f3161,f3144])).
% 5.93/6.31 fof(f3228,plain,(
% 5.93/6.31 ![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))),
% 5.93/6.31 inference(forward_subsumption_resolution,[status(thm)],[f3165,f3227])).
% 5.93/6.31 fof(f3378,plain,(
% 5.93/6.31 ![X0,X1]: (~cyclic(X0,X1,X0,X1)|cong(X0,X1,X0,X1))),
% 5.93/6.31 inference(resolution,[status(thm)],[f2191,f3228])).
% 5.93/6.31 fof(f3386,plain,(
% 5.93/6.31 ![X0,X1]: (cong(X0,X1,X0,X1))),
% 5.93/6.31 inference(forward_subsumption_resolution,[status(thm)],[f3378,f3227])).
% 5.93/6.31 fof(f3919,plain,(
% 5.93/6.31 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X0,X0,X1,X2))),
% 5.93/6.31 inference(resolution,[status(thm)],[f232,f3386])).
% 5.93/6.31 fof(f3920,plain,(
% 5.93/6.31 ![X0,X1,X2]: (perp(X0,X0,X1,X2))),
% 5.93/6.31 inference(forward_subsumption_resolution,[status(thm)],[f3919,f3386])).
% 5.93/6.31 fof(f4203,plain,(
% 5.93/6.31 ![X0,X1,X2,X3,X4]: (~para(X0,X1,X2,X2)|perp(X0,X1,X3,X4))),
% 5.93/6.31 inference(resolution,[status(thm)],[f3920,f120])).
% 5.93/6.31 fof(f4204,plain,(
% 5.93/6.31 ![X0,X1,X2,X3,X4]: (~perp(X0,X1,X2,X2)|para(X0,X1,X3,X4))),
% 5.93/6.31 inference(resolution,[status(thm)],[f3920,f117])).
% 5.93/6.31 fof(f4205,plain,(
% 5.93/6.31 ![X0,X1,X2]: (perp(X0,X1,X2,X2))),
% 5.93/6.31 inference(resolution,[status(thm)],[f3920,f114])).
% 5.93/6.31 fof(f4207,plain,(
% 5.93/6.31 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3))),
% 5.93/6.31 inference(backward_subsumption_resolution,[status(thm)],[f4204,f4205])).
% 5.93/6.31 fof(f4228,plain,(
% 5.93/6.31 ![X0,X1,X2,X3]: (perp(X0,X1,X2,X3))),
% 5.93/6.31 inference(backward_subsumption_resolution,[status(thm)],[f4203,f4207])).
% 5.93/6.31 fof(f4241,plain,(
% 5.93/6.31 $false),
% 5.93/6.31 inference(backward_subsumption_resolution,[status(thm)],[f382,f4228])).
% 5.93/6.31 % SZS output end CNFRefutation for theBenchmark.p
% 2.27/6.32 % Elapsed time: 0.917846 seconds
% 2.27/6.32 % CPU time: 6.994625 seconds
% 2.27/6.32 % Total memory used: 142.025 MB
% 2.27/6.32 % Net memory used: 134.415 MB
%------------------------------------------------------------------------------