%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO626+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 : n011.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 1.43s 0.72s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO626+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
% 0.09/0.36 % Computer : n011.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 18:03:25 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 1.43/0.72 % Refutation found
% 1.43/0.72 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.43/0.72 % SZS output start CNFRefutation for theBenchmark
% 1.43/0.72 fof(f8,axiom,(
% 1.43/0.72 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 1.43/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.43/0.72 fof(f9,axiom,(
% 1.43/0.72 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 1.43/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.43/0.72 fof(f17,axiom,(
% 1.43/0.72 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 1.43/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.43/0.72 fof(f18,axiom,(
% 1.43/0.72 (! [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) ) )),
% 1.43/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.43/0.72 fof(f19,axiom,(
% 1.43/0.72 (! [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) ) )),
% 1.43/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.43/0.72 fof(f20,axiom,(
% 1.43/0.72 (! [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) ) )),
% 1.43/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.43/0.72 fof(f21,axiom,(
% 1.43/0.72 (! [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) ) )),
% 1.43/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.43/0.72 fof(f40,axiom,(
% 1.43/0.72 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 1.43/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.43/0.72 fof(f41,axiom,(
% 1.43/0.72 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 1.43/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.43/0.72 fof(f42,axiom,(
% 1.43/0.72 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& ~ coll(P,Q,A) )=> cyclic(A,B,P,Q) ) )),
% 1.43/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.43/0.72 fof(f43,axiom,(
% 1.43/0.72 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 1.43/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.43/0.72 fof(f44,axiom,(
% 1.43/0.72 (! [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) ) )),
% 1.43/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.43/0.72 fof(f57,axiom,(
% 1.43/0.72 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 1.43/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.43/0.72 fof(f95,conjecture,(
% 1.43/0.72 (! [A,B,C,O,D,G,F,C1,B1,NWPNT1,NWPNT2,NWPNT3] :( ( circle(O,A,B,C)& circle(O,A,D,NWPNT1)& perp(G,D,A,B)& coll(G,A,B)& perp(F,D,A,C)& coll(F,A,C)& circle(O,D,C1,NWPNT2)& coll(C1,D,G)& circle(O,D,B1,NWPNT3)& coll(B1,D,F) )=> para(C1,C,B1,B) ) )),
% 1.43/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.43/0.72 fof(f96,negated_conjecture,(
% 1.43/0.72 ~((! [A,B,C,O,D,G,F,C1,B1,NWPNT1,NWPNT2,NWPNT3] :( ( circle(O,A,B,C)& circle(O,A,D,NWPNT1)& perp(G,D,A,B)& coll(G,A,B)& perp(F,D,A,C)& coll(F,A,C)& circle(O,D,C1,NWPNT2)& coll(C1,D,G)& circle(O,D,B1,NWPNT3)& coll(B1,D,F) )=> para(C1,C,B1,B) ) ))),
% 1.43/0.72 inference(negated_conjecture,[status(cth)],[f95])).
% 1.43/0.72 fof(f113,plain,(
% 1.43/0.72 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 1.43/0.72 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 1.43/0.72 fof(f114,plain,(
% 1.43/0.72 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 1.43/0.72 inference(cnf_transformation,[status(thm)],[f113])).
% 1.43/0.72 fof(f115,plain,(
% 1.43/0.72 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 1.43/0.72 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 1.43/0.72 fof(f116,plain,(
% 1.43/0.72 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 1.43/0.72 inference(miniscoping,[status(thm)],[f115])).
% 1.43/0.72 fof(f117,plain,(
% 1.43/0.72 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 1.43/0.72 inference(cnf_transformation,[status(thm)],[f116])).
% 1.43/0.72 fof(f134,plain,(
% 1.43/0.72 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 1.43/0.72 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 1.43/0.72 fof(f135,plain,(
% 1.43/0.72 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 1.43/0.72 inference(miniscoping,[status(thm)],[f134])).
% 1.43/0.72 fof(f136,plain,(
% 1.43/0.72 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 1.43/0.72 inference(cnf_transformation,[status(thm)],[f135])).
% 1.43/0.72 fof(f137,plain,(
% 1.43/0.72 ![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))),
% 1.43/0.72 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 1.43/0.72 fof(f138,plain,(
% 1.43/0.72 ![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))),
% 1.43/0.72 inference(cnf_transformation,[status(thm)],[f137])).
% 1.43/0.72 fof(f139,plain,(
% 1.43/0.72 ![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))),
% 1.43/0.72 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 1.43/0.72 fof(f140,plain,(
% 1.43/0.72 ![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))),
% 1.43/0.72 inference(cnf_transformation,[status(thm)],[f139])).
% 1.43/0.72 fof(f141,plain,(
% 1.43/0.72 ![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))),
% 1.43/0.72 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 1.43/0.72 fof(f142,plain,(
% 1.43/0.72 ![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))),
% 1.43/0.72 inference(cnf_transformation,[status(thm)],[f141])).
% 1.43/0.72 fof(f143,plain,(
% 1.43/0.72 ![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))),
% 1.43/0.72 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 1.43/0.72 fof(f144,plain,(
% 1.43/0.72 ![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))),
% 1.43/0.72 inference(cnf_transformation,[status(thm)],[f143])).
% 1.43/0.72 fof(f187,plain,(
% 1.43/0.72 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 1.43/0.72 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 1.43/0.72 fof(f188,plain,(
% 1.43/0.72 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 1.43/0.72 inference(miniscoping,[status(thm)],[f187])).
% 1.43/0.72 fof(f189,plain,(
% 1.43/0.72 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 1.43/0.72 inference(cnf_transformation,[status(thm)],[f188])).
% 1.43/0.72 fof(f190,plain,(
% 1.43/0.72 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 1.43/0.72 inference(pre_NNF_transformation,[status(thm)],[f41])).
% 1.43/0.72 fof(f191,plain,(
% 1.43/0.72 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 1.43/0.72 inference(cnf_transformation,[status(thm)],[f190])).
% 1.43/0.72 fof(f192,plain,(
% 1.43/0.72 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|coll(P,Q,A))|cyclic(A,B,P,Q))),
% 1.43/0.72 inference(pre_NNF_transformation,[status(thm)],[f42])).
% 1.43/0.72 fof(f193,plain,(
% 1.43/0.72 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|coll(X0,X3,X1)|cyclic(X1,X2,X0,X3))),
% 1.43/0.72 inference(cnf_transformation,[status(thm)],[f192])).
% 1.43/0.72 fof(f194,plain,(
% 1.43/0.72 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 1.43/0.72 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 1.43/0.72 fof(f195,plain,(
% 1.43/0.72 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 1.43/0.72 inference(cnf_transformation,[status(thm)],[f194])).
% 1.43/0.72 fof(f196,plain,(
% 1.43/0.72 ![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))),
% 1.43/0.72 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 1.43/0.72 fof(f197,plain,(
% 1.43/0.72 ![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))),
% 1.43/0.72 inference(miniscoping,[status(thm)],[f196])).
% 1.43/0.72 fof(f198,plain,(
% 1.43/0.72 ![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))),
% 1.43/0.72 inference(cnf_transformation,[status(thm)],[f197])).
% 1.43/0.72 fof(f231,plain,(
% 1.43/0.72 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 1.43/0.72 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 1.43/0.72 fof(f232,plain,(
% 1.43/0.72 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 1.43/0.72 inference(cnf_transformation,[status(thm)],[f231])).
% 1.43/0.72 fof(f369,plain,(
% 1.43/0.72 (?[A,B,C,O,D,G,F,C1,B1,NWPNT1,NWPNT2,NWPNT3]: ((((((((((circle(O,A,B,C)&circle(O,A,D,NWPNT1))&perp(G,D,A,B))&coll(G,A,B))&perp(F,D,A,C))&coll(F,A,C))&circle(O,D,C1,NWPNT2))&coll(C1,D,G))&circle(O,D,B1,NWPNT3))&coll(B1,D,F))&~para(C1,C,B1,B)))),
% 1.43/0.72 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 1.43/0.72 fof(f370,plain,(
% 1.43/0.72 ?[B,C,C1,B1]: ((?[D,F]: ((?[O]: ((?[G]: (((?[A]: (((((circle(O,A,B,C)&(?[NWPNT1]: circle(O,A,D,NWPNT1)))&perp(G,D,A,B))&coll(G,A,B))&perp(F,D,A,C))&coll(F,A,C)))&(?[NWPNT2]: circle(O,D,C1,NWPNT2)))&coll(C1,D,G)))&(?[NWPNT3]: circle(O,D,B1,NWPNT3))))&coll(B1,D,F)))&~para(C1,C,B1,B))),
% 1.43/0.72 inference(miniscoping,[status(thm)],[f369])).
% 1.43/0.72 fof(f371,plain,(
% 1.43/0.72 ((((((((((circle(sK26_skl,sK28_skl,sK20_skl,sK21_skl)&circle(sK26_skl,sK28_skl,sK24_skl,sK29_skl))&perp(sK27_skl,sK24_skl,sK28_skl,sK20_skl))&coll(sK27_skl,sK28_skl,sK20_skl))&perp(sK25_skl,sK24_skl,sK28_skl,sK21_skl))&coll(sK25_skl,sK28_skl,sK21_skl))&circle(sK26_skl,sK24_skl,sK22_skl,sK30_skl))&coll(sK22_skl,sK24_skl,sK27_skl))&circle(sK26_skl,sK24_skl,sK23_skl,sK31_skl))&coll(sK23_skl,sK24_skl,sK25_skl))&~para(sK22_skl,sK21_skl,sK23_skl,sK20_skl))),
% 1.43/0.72 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,sK29_skl,sK30_skl,sK31_skl]),skolemize(B,sK20_skl),skolemize(C,sK21_skl),skolemize(C1,sK22_skl),skolemize(B1,sK23_skl),skolemize(D,sK24_skl),skolemize(F,sK25_skl),skolemize(O,sK26_skl),skolemize(G,sK27_skl),skolemize(A,sK28_skl),skolemize(NWPNT1,sK29_skl),skolemize(NWPNT2,sK30_skl),skolemize(NWPNT3,sK31_skl)],[f370])).
% 1.43/0.72 fof(f376,plain,(
% 1.43/0.72 perp(sK25_skl,sK24_skl,sK28_skl,sK21_skl)),
% 1.43/0.72 inference(cnf_transformation,[status(thm)],[f371])).
% 1.43/0.72 fof(f382,plain,(
% 1.43/0.72 ~para(sK22_skl,sK21_skl,sK23_skl,sK20_skl)),
% 1.43/0.72 inference(cnf_transformation,[status(thm)],[f371])).
% 1.43/0.72 fof(f467,plain,(
% 1.43/0.72 perp(sK28_skl,sK21_skl,sK25_skl,sK24_skl)),
% 1.43/0.72 inference(resolution,[status(thm)],[f114,f376])).
% 1.43/0.72 fof(f501,plain,(
% 1.43/0.72 ![X0,X1]: (~perp(X0,X1,sK25_skl,sK24_skl)|para(X0,X1,sK28_skl,sK21_skl))),
% 1.43/0.72 inference(resolution,[status(thm)],[f117,f376])).
% 1.43/0.72 fof(f711,plain,(
% 1.43/0.72 para(sK28_skl,sK21_skl,sK28_skl,sK21_skl)),
% 1.43/0.72 inference(resolution,[status(thm)],[f501,f467])).
% 1.43/0.72 fof(f983,plain,(
% 1.43/0.72 ![X0,X1]: (eqangle(sK28_skl,sK21_skl,X0,X1,sK28_skl,sK21_skl,X0,X1))),
% 1.43/0.72 inference(resolution,[status(thm)],[f711,f189])).
% 1.43/0.72 fof(f1067,plain,(
% 1.43/0.72 ![X0,X1]: (eqangle(sK28_skl,sK21_skl,sK28_skl,sK21_skl,X0,X1,X0,X1))),
% 1.43/0.72 inference(resolution,[status(thm)],[f983,f144])).
% 1.43/0.72 fof(f1097,plain,(
% 1.43/0.72 ![X0]: (~coll(sK28_skl,X0,sK21_skl)|cyclic(sK21_skl,sK21_skl,sK28_skl,X0))),
% 1.43/0.72 inference(resolution,[status(thm)],[f1067,f195])).
% 1.43/0.72 fof(f1098,plain,(
% 1.43/0.72 ![X0]: (coll(sK28_skl,X0,sK21_skl)|cyclic(sK21_skl,sK21_skl,sK28_skl,X0))),
% 1.43/0.72 inference(resolution,[status(thm)],[f1067,f193])).
% 1.43/0.72 fof(f1111,plain,(
% 1.43/0.72 ![X0]: (cyclic(sK21_skl,sK21_skl,sK28_skl,X0))),
% 1.43/0.72 inference(forward_subsumption_resolution,[status(thm)],[f1098,f1097])).
% 1.43/0.72 fof(f1141,plain,(
% 1.43/0.72 ![X0,X1]: (~cyclic(sK21_skl,sK21_skl,sK28_skl,X0)|cyclic(sK21_skl,sK28_skl,X0,X1))),
% 1.43/0.72 inference(resolution,[status(thm)],[f1111,f136])).
% 1.43/0.72 fof(f1146,plain,(
% 1.43/0.72 ![X0,X1]: (cyclic(sK21_skl,sK28_skl,X0,X1))),
% 1.43/0.72 inference(forward_subsumption_resolution,[status(thm)],[f1141,f1111])).
% 1.43/0.72 fof(f1147,plain,(
% 1.43/0.72 ![X0,X1,X2]: (~cyclic(sK21_skl,sK28_skl,X0,X1)|cyclic(sK28_skl,X0,X1,X2))),
% 1.43/0.72 inference(resolution,[status(thm)],[f1146,f136])).
% 1.43/0.72 fof(f1153,plain,(
% 1.43/0.72 ![X0,X1,X2]: (cyclic(sK28_skl,X0,X1,X2))),
% 1.43/0.72 inference(forward_subsumption_resolution,[status(thm)],[f1147,f1146])).
% 1.43/0.72 fof(f1155,plain,(
% 1.43/0.72 ![X0,X1,X2,X3]: (~cyclic(sK28_skl,X0,X1,X2)|cyclic(X0,X1,X2,X3))),
% 1.43/0.72 inference(resolution,[status(thm)],[f1153,f136])).
% 1.43/0.72 fof(f1163,plain,(
% 1.43/0.72 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2))),
% 1.43/0.72 inference(backward_subsumption_resolution,[status(thm)],[f191,f1167])).
% 1.43/0.72 fof(f1166,plain,(
% 1.43/0.72 ![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))),
% 1.43/0.72 inference(backward_subsumption_resolution,[status(thm)],[f198,f1167])).
% 1.43/0.72 fof(f1167,plain,(
% 1.43/0.72 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3))),
% 1.43/0.72 inference(forward_subsumption_resolution,[status(thm)],[f1155,f1153])).
% 1.43/0.72 fof(f1169,plain,(
% 1.43/0.72 ![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))),
% 1.43/0.72 inference(forward_subsumption_resolution,[status(thm)],[f1166,f1167])).
% 1.43/0.72 fof(f1198,plain,(
% 1.43/0.72 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X1,X0,X3,X2,X3))),
% 1.43/0.72 inference(resolution,[status(thm)],[f1163,f144])).
% 1.43/0.72 fof(f1278,plain,(
% 1.43/0.72 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X0,X1,X3,X2,X3))),
% 1.43/0.72 inference(resolution,[status(thm)],[f1198,f138])).
% 1.43/0.72 fof(f1313,plain,(
% 1.43/0.72 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X1,X3,X0,X2,X3))),
% 1.43/0.72 inference(resolution,[status(thm)],[f1278,f142])).
% 1.43/0.72 fof(f1402,plain,(
% 1.43/0.72 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X1,X0,X3,X3,X2))),
% 1.43/0.74 inference(resolution,[status(thm)],[f1313,f140])).
% 1.43/0.74 fof(f1481,plain,(
% 1.43/0.74 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X0,X1,X3,X3,X2))),
% 1.43/0.74 inference(resolution,[status(thm)],[f1402,f138])).
% 1.43/0.74 fof(f1638,plain,(
% 1.43/0.74 ![X0,X1]: (~cyclic(X0,X1,X1,X1)|cong(X0,X1,X0,X1))),
% 1.43/0.74 inference(resolution,[status(thm)],[f1169,f1481])).
% 1.43/0.74 fof(f1662,plain,(
% 1.43/0.74 ![X0,X1]: (cong(X0,X1,X0,X1))),
% 1.43/0.74 inference(forward_subsumption_resolution,[status(thm)],[f1638,f1167])).
% 1.43/0.74 fof(f1679,plain,(
% 1.43/0.74 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X0,X0,X1,X2))),
% 1.43/0.74 inference(resolution,[status(thm)],[f1662,f232])).
% 1.43/0.74 fof(f1710,plain,(
% 1.43/0.74 ![X0,X1,X2]: (perp(X0,X0,X1,X2))),
% 1.43/0.74 inference(forward_subsumption_resolution,[status(thm)],[f1679,f1662])).
% 1.43/0.74 fof(f1760,plain,(
% 1.43/0.74 ![X0,X1,X2,X3,X4]: (~perp(X0,X1,X2,X2)|para(X0,X1,X3,X4))),
% 1.43/0.74 inference(resolution,[status(thm)],[f1710,f117])).
% 1.43/0.74 fof(f1761,plain,(
% 1.43/0.74 ![X0,X1,X2]: (perp(X0,X1,X2,X2))),
% 1.43/0.74 inference(resolution,[status(thm)],[f1710,f114])).
% 1.43/0.74 fof(f1763,plain,(
% 1.43/0.74 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3))),
% 1.43/0.74 inference(backward_subsumption_resolution,[status(thm)],[f1760,f1761])).
% 1.43/0.74 fof(f1767,plain,(
% 1.43/0.74 $false),
% 1.43/0.74 inference(backward_subsumption_resolution,[status(thm)],[f382,f1763])).
% 1.43/0.74 % SZS output end CNFRefutation for theBenchmark.p
% 1.43/0.76 % Elapsed time: 0.381646 seconds
% 1.43/0.76 % CPU time: 2.782534 seconds
% 1.43/0.76 % Total memory used: 112.518 MB
% 1.43/0.76 % Net memory used: 109.425 MB
%------------------------------------------------------------------------------