%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO622+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 12:26:44 PM UTC 2026
% Result : Theorem 0.16s 11.20s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO622+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/10.39 % Computer : n002.cluster.edu
% 0.11/10.39 % Model : x86_64 x86_64
% 0.11/10.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.39 % Memory : 8046.5625MB
% 0.11/10.39 % OS : Linux 6.8.0-71-generic
% 0.11/10.40 % CPULimit : 300
% 0.11/10.40 % WCLimit : 300
% 0.11/10.40 % DateTime : Sun Sep 20 18:03:45 UTC 2026
% 0.15/10.40 % CPUTime :
% 0.15/10.41 % Drodi V4.1.1
% 0.16/11.20 % Refutation found
% 0.16/11.20 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/11.20 % SZS output start CNFRefutation for theBenchmark
% 0.16/11.20 fof(f1,axiom,(
% 0.16/11.20 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 0.16/11.20 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/11.20 fof(f2,axiom,(
% 0.16/11.20 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 0.16/11.20 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/11.20 fof(f3,axiom,(
% 0.16/11.20 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 0.16/11.20 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/11.20 fof(f5,axiom,(
% 0.16/11.20 (! [A,B,C,D] :( para(A,B,C,D)=> para(C,D,A,B) ) )),
% 0.16/11.20 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/11.20 fof(f8,axiom,(
% 0.16/11.20 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 0.16/11.20 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/11.20 fof(f9,axiom,(
% 0.16/11.20 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 0.16/11.20 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/11.20 fof(f17,axiom,(
% 0.16/11.20 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 0.16/11.20 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/11.20 fof(f19,axiom,(
% 0.16/11.20 (! [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) ) )),
% 0.16/11.20 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/11.20 fof(f21,axiom,(
% 0.16/11.20 (! [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) ) )),
% 0.16/11.20 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/11.20 fof(f39,axiom,(
% 0.16/11.20 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 0.16/11.20 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/11.20 fof(f40,axiom,(
% 0.16/11.20 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 0.16/11.20 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/11.20 fof(f43,axiom,(
% 0.16/11.20 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 0.16/11.20 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/11.20 fof(f44,axiom,(
% 0.16/11.20 (! [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) ) )),
% 0.16/11.20 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/11.20 fof(f57,axiom,(
% 0.16/11.20 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 0.16/11.20 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/11.20 fof(f67,axiom,(
% 0.16/11.20 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 0.16/11.20 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/11.20 fof(f95,conjecture,(
% 0.16/11.20 (! [A,B,C,D,E,F,NWPNT1] :( ( circle(D,A,B,C)& eqangle(E,A,A,C,E,A,A,B)& coll(E,B,C)& midpoint(NWPNT1,A,E)& perp(A,E,NWPNT1,F)& coll(F,A,D) )=> perp(E,F,B,C) ) )),
% 0.16/11.20 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/11.20 fof(f96,negated_conjecture,(
% 0.16/11.20 ~((! [A,B,C,D,E,F,NWPNT1] :( ( circle(D,A,B,C)& eqangle(E,A,A,C,E,A,A,B)& coll(E,B,C)& midpoint(NWPNT1,A,E)& perp(A,E,NWPNT1,F)& coll(F,A,D) )=> perp(E,F,B,C) ) ))),
% 0.16/11.20 inference(negated_conjecture,[status(cth)],[f95])).
% 0.16/11.20 fof(f97,plain,(
% 0.16/11.20 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 0.16/11.20 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.16/11.20 fof(f98,plain,(
% 0.16/11.20 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 0.16/11.20 inference(cnf_transformation,[status(thm)],[f97])).
% 0.16/11.20 fof(f99,plain,(
% 0.16/11.20 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 0.16/11.20 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.16/11.20 fof(f100,plain,(
% 0.16/11.20 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 0.16/11.20 inference(cnf_transformation,[status(thm)],[f99])).
% 0.16/11.20 fof(f101,plain,(
% 0.16/11.20 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 0.16/11.20 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.16/11.20 fof(f102,plain,(
% 0.16/11.20 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 0.16/11.20 inference(miniscoping,[status(thm)],[f101])).
% 0.16/11.20 fof(f103,plain,(
% 0.16/11.20 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 0.16/11.20 inference(cnf_transformation,[status(thm)],[f102])).
% 0.16/11.20 fof(f106,plain,(
% 0.16/11.20 ![A,B,C,D]: (~para(A,B,C,D)|para(C,D,A,B))),
% 0.16/11.20 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.16/11.20 fof(f107,plain,(
% 0.16/11.20 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X2,X3,X0,X1))),
% 0.16/11.20 inference(cnf_transformation,[status(thm)],[f106])).
% 0.16/11.20 fof(f113,plain,(
% 0.16/11.20 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 0.16/11.20 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.16/11.20 fof(f114,plain,(
% 0.16/11.20 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 0.16/11.20 inference(cnf_transformation,[status(thm)],[f113])).
% 0.16/11.20 fof(f115,plain,(
% 0.16/11.20 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 0.16/11.20 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.16/11.20 fof(f116,plain,(
% 0.16/11.20 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 0.16/11.20 inference(miniscoping,[status(thm)],[f115])).
% 0.16/11.20 fof(f117,plain,(
% 0.16/11.20 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 0.16/11.20 inference(cnf_transformation,[status(thm)],[f116])).
% 0.16/11.20 fof(f134,plain,(
% 0.16/11.20 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 0.16/11.20 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 0.16/11.20 fof(f135,plain,(
% 0.16/11.20 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 0.16/11.20 inference(miniscoping,[status(thm)],[f134])).
% 0.16/11.20 fof(f136,plain,(
% 0.16/11.20 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 0.16/11.20 inference(cnf_transformation,[status(thm)],[f135])).
% 0.16/11.20 fof(f139,plain,(
% 0.16/11.20 ![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))),
% 0.16/11.20 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 0.16/11.20 fof(f140,plain,(
% 0.16/11.20 ![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))),
% 0.16/11.20 inference(cnf_transformation,[status(thm)],[f139])).
% 0.16/11.20 fof(f143,plain,(
% 0.16/11.20 ![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))),
% 0.16/11.20 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 0.16/11.20 fof(f144,plain,(
% 0.16/11.20 ![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))),
% 0.16/11.20 inference(cnf_transformation,[status(thm)],[f143])).
% 0.16/11.20 fof(f184,plain,(
% 0.16/11.20 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 0.16/11.20 inference(pre_NNF_transformation,[status(thm)],[f39])).
% 0.16/11.20 fof(f185,plain,(
% 0.16/11.20 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 0.16/11.20 inference(miniscoping,[status(thm)],[f184])).
% 0.16/11.20 fof(f186,plain,(
% 0.16/11.20 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 0.16/11.20 inference(cnf_transformation,[status(thm)],[f185])).
% 0.16/11.20 fof(f187,plain,(
% 0.16/11.20 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 0.16/11.20 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 0.16/11.20 fof(f188,plain,(
% 0.16/11.20 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 0.16/11.20 inference(miniscoping,[status(thm)],[f187])).
% 0.16/11.20 fof(f189,plain,(
% 0.16/11.20 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 0.16/11.20 inference(cnf_transformation,[status(thm)],[f188])).
% 0.16/11.20 fof(f194,plain,(
% 0.16/11.20 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 0.16/11.20 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 0.16/11.20 fof(f195,plain,(
% 0.16/11.20 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 0.16/11.20 inference(cnf_transformation,[status(thm)],[f194])).
% 0.16/11.20 fof(f196,plain,(
% 0.16/11.20 ![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))),
% 0.16/11.20 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 0.16/11.20 fof(f197,plain,(
% 0.16/11.20 ![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))),
% 0.16/11.20 inference(miniscoping,[status(thm)],[f196])).
% 0.16/11.20 fof(f198,plain,(
% 0.16/11.20 ![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))),
% 0.16/11.20 inference(cnf_transformation,[status(thm)],[f197])).
% 0.16/11.20 fof(f231,plain,(
% 0.16/11.20 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 0.16/11.20 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 0.16/11.20 fof(f232,plain,(
% 0.16/11.20 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 0.16/11.20 inference(cnf_transformation,[status(thm)],[f231])).
% 0.16/11.20 fof(f255,plain,(
% 0.16/11.20 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 0.16/11.20 inference(pre_NNF_transformation,[status(thm)],[f67])).
% 0.16/11.20 fof(f256,plain,(
% 0.16/11.20 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 0.16/11.20 inference(cnf_transformation,[status(thm)],[f255])).
% 0.16/11.20 fof(f369,plain,(
% 0.16/11.20 (?[A,B,C,D,E,F,NWPNT1]: ((((((circle(D,A,B,C)&eqangle(E,A,A,C,E,A,A,B))&coll(E,B,C))&midpoint(NWPNT1,A,E))&perp(A,E,NWPNT1,F))&coll(F,A,D))&~perp(E,F,B,C)))),
% 0.16/11.20 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 0.16/11.20 fof(f370,plain,(
% 0.16/11.20 ?[B,C,E,F]: ((?[A,D]: ((?[NWPNT1]: ((((circle(D,A,B,C)&eqangle(E,A,A,C,E,A,A,B))&coll(E,B,C))&midpoint(NWPNT1,A,E))&perp(A,E,NWPNT1,F)))&coll(F,A,D)))&~perp(E,F,B,C))),
% 0.16/11.20 inference(miniscoping,[status(thm)],[f369])).
% 0.16/11.20 fof(f371,plain,(
% 0.16/11.20 ((((((circle(sK25_skl,sK24_skl,sK20_skl,sK21_skl)&eqangle(sK22_skl,sK24_skl,sK24_skl,sK21_skl,sK22_skl,sK24_skl,sK24_skl,sK20_skl))&coll(sK22_skl,sK20_skl,sK21_skl))&midpoint(sK26_skl,sK24_skl,sK22_skl))&perp(sK24_skl,sK22_skl,sK26_skl,sK23_skl))&coll(sK23_skl,sK24_skl,sK25_skl))&~perp(sK22_skl,sK23_skl,sK20_skl,sK21_skl))),
% 0.16/11.20 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(D,sK25_skl),skolemize(NWPNT1,sK26_skl)],[f370])).
% 0.16/11.20 fof(f373,plain,(
% 0.16/11.20 eqangle(sK22_skl,sK24_skl,sK24_skl,sK21_skl,sK22_skl,sK24_skl,sK24_skl,sK20_skl)),
% 0.16/11.20 inference(cnf_transformation,[status(thm)],[f371])).
% 0.16/11.20 fof(f376,plain,(
% 0.16/11.20 perp(sK24_skl,sK22_skl,sK26_skl,sK23_skl)),
% 0.16/11.20 inference(cnf_transformation,[status(thm)],[f371])).
% 0.16/11.20 fof(f378,plain,(
% 0.16/11.20 ~perp(sK22_skl,sK23_skl,sK20_skl,sK21_skl)),
% 0.16/11.20 inference(cnf_transformation,[status(thm)],[f371])).
% 0.16/11.20 fof(f418,plain,(
% 0.16/11.20 perp(sK26_skl,sK23_skl,sK24_skl,sK22_skl)),
% 0.16/11.20 inference(resolution,[status(thm)],[f114,f376])).
% 0.16/11.20 fof(f423,plain,(
% 0.16/11.20 ![X0,X1]: (~perp(X0,X1,sK26_skl,sK23_skl)|para(X0,X1,sK24_skl,sK22_skl))),
% 0.16/11.20 inference(resolution,[status(thm)],[f117,f418])).
% 0.16/11.20 fof(f493,plain,(
% 0.16/11.20 eqangle(sK24_skl,sK21_skl,sK22_skl,sK24_skl,sK24_skl,sK20_skl,sK22_skl,sK24_skl)),
% 0.16/11.20 inference(resolution,[status(thm)],[f140,f373])).
% 0.16/11.20 fof(f1062,plain,(
% 0.16/11.20 para(sK24_skl,sK22_skl,sK24_skl,sK22_skl)),
% 0.16/11.20 inference(resolution,[status(thm)],[f423,f376])).
% 0.16/11.20 fof(f1144,plain,(
% 0.16/11.20 para(sK24_skl,sK21_skl,sK24_skl,sK20_skl)),
% 0.16/11.20 inference(resolution,[status(thm)],[f186,f493])).
% 0.16/11.20 fof(f1145,plain,(
% 0.16/11.20 ![X0,X1]: (eqangle(sK24_skl,sK22_skl,X0,X1,sK24_skl,sK22_skl,X0,X1))),
% 0.16/11.20 inference(resolution,[status(thm)],[f189,f1062])).
% 0.16/11.20 fof(f1440,plain,(
% 0.16/11.20 para(sK24_skl,sK20_skl,sK24_skl,sK21_skl)),
% 0.16/11.20 inference(resolution,[status(thm)],[f1144,f107])).
% 0.16/11.20 fof(f1444,plain,(
% 0.16/11.20 ![X0,X1]: (eqangle(sK24_skl,sK20_skl,X0,X1,sK24_skl,sK21_skl,X0,X1))),
% 0.16/11.20 inference(resolution,[status(thm)],[f1440,f189])).
% 0.16/11.20 fof(f2570,plain,(
% 0.16/11.20 ![X0,X1]: (eqangle(sK24_skl,sK22_skl,sK24_skl,sK22_skl,X0,X1,X0,X1))),
% 0.16/11.20 inference(resolution,[status(thm)],[f1145,f144])).
% 0.16/11.20 fof(f2572,plain,(
% 0.16/11.20 ![X0,X1]: (eqangle(X0,X1,sK24_skl,sK22_skl,X0,X1,sK24_skl,sK22_skl))),
% 0.16/11.20 inference(resolution,[status(thm)],[f1145,f140])).
% 0.16/11.20 fof(f5719,plain,(
% 0.16/11.20 ![X0,X1]: (para(X0,X1,X0,X1))),
% 0.16/11.20 inference(resolution,[status(thm)],[f2572,f186])).
% 0.16/11.20 fof(f5749,plain,(
% 0.16/11.20 ![X0,X1]: (coll(X0,X1,X1))),
% 0.16/11.20 inference(resolution,[status(thm)],[f5719,f256])).
% 0.16/11.20 fof(f6050,plain,(
% 0.16/11.20 ![X0,X1]: (coll(X0,X1,X0))),
% 0.16/11.20 inference(resolution,[status(thm)],[f5749,f100])).
% 0.16/11.20 fof(f6359,plain,(
% 0.16/11.20 ![X0,X1]: (coll(X0,X0,X1))),
% 0.16/11.20 inference(resolution,[status(thm)],[f6050,f98])).
% 0.16/11.20 fof(f6411,plain,(
% 0.16/11.20 ![X0,X1,X2]: (~coll(X0,X0,X1)|coll(X1,X2,X0))),
% 0.16/11.20 inference(resolution,[status(thm)],[f6359,f103])).
% 0.16/11.20 fof(f6414,plain,(
% 0.16/11.20 ![X0,X1,X2]: (coll(X0,X1,X2))),
% 0.16/11.20 inference(forward_subsumption_resolution,[status(thm)],[f6411,f6359])).
% 0.16/11.20 fof(f6419,plain,(
% 0.16/11.20 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|cyclic(X1,X2,X0,X3))),
% 0.16/11.20 inference(backward_subsumption_resolution,[status(thm)],[f195,f6414])).
% 0.16/11.20 fof(f6463,plain,(
% 0.16/11.20 ![X0]: (cyclic(sK22_skl,sK22_skl,sK24_skl,X0))),
% 0.16/11.20 inference(resolution,[status(thm)],[f6419,f2570])).
% 0.16/11.20 fof(f6490,plain,(
% 0.16/11.20 ![X0,X1]: (~cyclic(sK22_skl,sK22_skl,sK24_skl,X0)|cyclic(sK22_skl,sK24_skl,X0,X1))),
% 0.16/11.20 inference(resolution,[status(thm)],[f6463,f136])).
% 0.16/11.20 fof(f6494,plain,(
% 0.16/11.20 ![X0,X1]: (cyclic(sK22_skl,sK24_skl,X0,X1))),
% 0.16/11.20 inference(forward_subsumption_resolution,[status(thm)],[f6490,f6463])).
% 0.16/11.20 fof(f6496,plain,(
% 0.16/11.20 ![X0,X1,X2]: (~cyclic(sK22_skl,sK24_skl,X0,X1)|cyclic(sK24_skl,X0,X1,X2))),
% 0.16/11.20 inference(resolution,[status(thm)],[f6494,f136])).
% 0.16/11.21 fof(f6500,plain,(
% 0.16/11.21 ![X0,X1,X2]: (cyclic(sK24_skl,X0,X1,X2))),
% 0.16/11.21 inference(forward_subsumption_resolution,[status(thm)],[f6496,f6494])).
% 0.16/11.21 fof(f6503,plain,(
% 0.16/11.21 ![X0,X1,X2,X3]: (~cyclic(sK24_skl,X0,X1,X2)|cyclic(X0,X1,X2,X3))),
% 0.16/11.21 inference(resolution,[status(thm)],[f6500,f136])).
% 0.16/11.21 fof(f6508,plain,(
% 0.16/11.21 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3))),
% 0.16/11.21 inference(forward_subsumption_resolution,[status(thm)],[f6503,f6500])).
% 0.16/11.21 fof(f6513,plain,(
% 0.16/11.21 ![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))),
% 0.16/11.21 inference(backward_subsumption_resolution,[status(thm)],[f198,f6508])).
% 0.16/11.21 fof(f6515,plain,(
% 0.16/11.21 ![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))),
% 0.16/11.21 inference(forward_subsumption_resolution,[status(thm)],[f6513,f6508])).
% 0.16/11.21 fof(f6583,plain,(
% 0.16/11.21 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X0,X2,X3,X4,X3,X5)|cong(X1,X2,X4,X5))),
% 0.16/11.21 inference(forward_subsumption_resolution,[status(thm)],[f6515,f6508])).
% 0.16/11.21 fof(f6584,plain,(
% 0.16/11.21 ![X0]: (cong(sK20_skl,X0,sK21_skl,X0))),
% 0.16/11.21 inference(resolution,[status(thm)],[f6583,f1444])).
% 0.16/11.21 fof(f6736,plain,(
% 0.16/11.21 ![X0,X1]: (~cong(sK20_skl,X0,sK21_skl,X0)|perp(sK20_skl,sK21_skl,X0,X1))),
% 0.16/11.21 inference(resolution,[status(thm)],[f6584,f232])).
% 0.16/11.21 fof(f6740,plain,(
% 0.16/11.21 ![X0,X1]: (perp(sK20_skl,sK21_skl,X0,X1))),
% 0.16/11.21 inference(forward_subsumption_resolution,[status(thm)],[f6736,f6584])).
% 0.16/11.21 fof(f6833,plain,(
% 0.16/11.21 ![X0,X1]: (perp(X0,X1,sK20_skl,sK21_skl))),
% 0.16/11.21 inference(resolution,[status(thm)],[f6740,f114])).
% 0.16/11.21 fof(f6998,plain,(
% 0.16/11.21 $false),
% 0.16/11.21 inference(backward_subsumption_resolution,[status(thm)],[f378,f6833])).
% 0.16/11.21 % SZS output end CNFRefutation for theBenchmark.p
% 5.56/11.21 % Elapsed time: 0.807325 seconds
% 5.56/11.21 % CPU time: 6.135410 seconds
% 5.56/11.21 % Total memory used: 129.356 MB
% 5.56/11.21 % Net memory used: 123.533 MB
%------------------------------------------------------------------------------