%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO652+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 : n008.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 12:26:47 PM UTC 2026
% Result : Theorem 0.13s 0.98s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO652+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
% 0.09/0.56 % Computer : n008.cluster.edu
% 0.09/0.56 % Model : x86_64 x86_64
% 0.09/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.56 % Memory : 8046.5625MB
% 0.09/0.56 % OS : Linux 6.8.0-71-generic
% 0.09/0.56 % CPULimit : 300
% 0.09/0.56 % WCLimit : 300
% 0.09/0.56 % DateTime : Sun Sep 20 18:13:24 UTC 2026
% 0.09/0.56 % CPUTime :
% 0.09/0.58 % Drodi V4.1.1
% 0.13/0.98 % Refutation found
% 0.13/0.98 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.98 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.98 fof(f8,axiom,(
% 0.13/0.98 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 0.13/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.98 fof(f9,axiom,(
% 0.13/0.98 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 0.13/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.98 fof(f15,axiom,(
% 0.13/0.98 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,C,B,D) ) )),
% 0.13/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.98 fof(f17,axiom,(
% 0.13/0.98 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 0.13/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.98 fof(f21,axiom,(
% 0.13/0.98 (! [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) ) )),
% 0.13/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.98 fof(f40,axiom,(
% 0.13/0.98 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 0.13/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.98 fof(f42,axiom,(
% 0.13/0.98 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& ~ coll(P,Q,A) )=> cyclic(A,B,P,Q) ) )),
% 0.13/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.98 fof(f43,axiom,(
% 0.13/0.98 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 0.13/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.98 fof(f44,axiom,(
% 0.13/0.98 (! [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) ) )),
% 0.13/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.98 fof(f57,axiom,(
% 0.13/0.98 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 0.13/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.98 fof(f87,axiom,(
% 0.13/0.98 (! [A,B,C,O] :(? [P] :( circle(O,A,B,C)=> perp(P,A,A,O) ) ))),
% 0.13/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.98 fof(f95,conjecture,(
% 0.13/0.98 (! [A,B,C,D,E,F,G,H,I,J,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,NWPNT6,NWPNT7,NWPNT8,NWPNT9,NWPNT01,NWPNT11,NWPNT21] :( ( circle(A,B,NWPNT1,NWPNT2)& circle(C,B,NWPNT3,NWPNT4)& circle(A,B,D,NWPNT5)& circle(C,B,D,NWPNT6)& circle(C,B,E,NWPNT7)& circle(C,B,F,NWPNT8)& coll(D,E,G)& circle(A,D,G,NWPNT9)& coll(B,F,H)& circle(A,B,H,NWPNT01)& coll(D,H,I)& circle(C,D,I,NWPNT11)& coll(B,G,J)& circle(C,B,J,NWPNT21) )=> para(E,F,I,J) ) )),
% 0.13/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.98 fof(f96,negated_conjecture,(
% 0.13/0.98 ~((! [A,B,C,D,E,F,G,H,I,J,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,NWPNT6,NWPNT7,NWPNT8,NWPNT9,NWPNT01,NWPNT11,NWPNT21] :( ( circle(A,B,NWPNT1,NWPNT2)& circle(C,B,NWPNT3,NWPNT4)& circle(A,B,D,NWPNT5)& circle(C,B,D,NWPNT6)& circle(C,B,E,NWPNT7)& circle(C,B,F,NWPNT8)& coll(D,E,G)& circle(A,D,G,NWPNT9)& coll(B,F,H)& circle(A,B,H,NWPNT01)& coll(D,H,I)& circle(C,D,I,NWPNT11)& coll(B,G,J)& circle(C,B,J,NWPNT21) )=> para(E,F,I,J) ) ))),
% 0.13/0.98 inference(negated_conjecture,[status(cth)],[f95])).
% 0.13/0.98 fof(f113,plain,(
% 0.13/0.98 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 0.13/0.98 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.13/0.98 fof(f114,plain,(
% 0.13/0.98 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 0.13/0.98 inference(cnf_transformation,[status(thm)],[f113])).
% 0.13/0.98 fof(f115,plain,(
% 0.13/0.98 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 0.13/0.98 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.13/0.98 fof(f116,plain,(
% 0.13/0.98 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 0.13/0.98 inference(miniscoping,[status(thm)],[f115])).
% 0.13/0.98 fof(f117,plain,(
% 0.13/0.98 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 0.13/0.98 inference(cnf_transformation,[status(thm)],[f116])).
% 0.13/0.98 fof(f130,plain,(
% 0.13/0.98 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,C,B,D))),
% 0.13/0.98 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.13/0.98 fof(f131,plain,(
% 0.13/0.98 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X2,X1,X3))),
% 0.13/0.98 inference(cnf_transformation,[status(thm)],[f130])).
% 0.13/0.98 fof(f134,plain,(
% 0.13/0.98 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 0.13/0.98 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 0.13/0.98 fof(f135,plain,(
% 0.13/0.98 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 0.13/0.98 inference(miniscoping,[status(thm)],[f134])).
% 0.13/0.98 fof(f136,plain,(
% 0.13/0.98 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 0.13/0.98 inference(cnf_transformation,[status(thm)],[f135])).
% 0.13/0.98 fof(f143,plain,(
% 0.13/0.98 ![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))),
% 0.13/0.98 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 0.13/0.98 fof(f144,plain,(
% 0.13/0.98 ![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))),
% 0.13/0.98 inference(cnf_transformation,[status(thm)],[f143])).
% 0.13/0.98 fof(f187,plain,(
% 0.13/0.98 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 0.13/0.98 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 0.13/0.98 fof(f188,plain,(
% 0.13/0.98 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 0.13/0.98 inference(miniscoping,[status(thm)],[f187])).
% 0.13/0.98 fof(f189,plain,(
% 0.13/0.98 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 0.13/0.98 inference(cnf_transformation,[status(thm)],[f188])).
% 0.13/0.98 fof(f192,plain,(
% 0.13/0.98 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|coll(P,Q,A))|cyclic(A,B,P,Q))),
% 0.13/0.98 inference(pre_NNF_transformation,[status(thm)],[f42])).
% 0.13/0.98 fof(f193,plain,(
% 0.13/0.98 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|coll(X0,X3,X1)|cyclic(X1,X2,X0,X3))),
% 0.13/0.98 inference(cnf_transformation,[status(thm)],[f192])).
% 0.13/0.98 fof(f194,plain,(
% 0.13/0.98 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 0.13/0.98 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 0.13/0.98 fof(f195,plain,(
% 0.13/0.98 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 0.13/0.98 inference(cnf_transformation,[status(thm)],[f194])).
% 0.13/0.98 fof(f196,plain,(
% 0.13/0.98 ![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))),
% 0.13/0.98 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 0.13/0.98 fof(f197,plain,(
% 0.13/0.98 ![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))),
% 0.13/0.98 inference(miniscoping,[status(thm)],[f196])).
% 0.13/0.98 fof(f198,plain,(
% 0.13/0.98 ![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))),
% 0.13/0.98 inference(cnf_transformation,[status(thm)],[f197])).
% 0.13/0.98 fof(f231,plain,(
% 0.13/0.98 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 0.13/0.98 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 0.13/0.98 fof(f232,plain,(
% 0.13/0.98 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 0.13/0.98 inference(cnf_transformation,[status(thm)],[f231])).
% 0.13/0.98 fof(f331,plain,(
% 0.13/0.98 ![A,B,C,O]: (?[P]: (~circle(O,A,B,C)|perp(P,A,A,O)))),
% 0.13/0.98 inference(pre_NNF_transformation,[status(thm)],[f87])).
% 0.13/0.98 fof(f332,plain,(
% 0.13/0.98 ![A,O]: ((![B,C]: ~circle(O,A,B,C))|(?[P]: perp(P,A,A,O)))),
% 0.13/0.98 inference(miniscoping,[status(thm)],[f331])).
% 0.13/0.98 fof(f333,plain,(
% 0.13/0.98 ![A,O]: ((![B,C]: ~circle(O,A,B,C))|perp(sK11_skl(O,A),A,A,O))),
% 0.13/0.98 inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl]),skolemize(P,sK11_skl(O,A))],[f332])).
% 0.13/0.98 fof(f334,plain,(
% 0.13/0.98 ![X0,X1,X2,X3]: (~circle(X0,X1,X2,X3)|perp(sK11_skl(X0,X1),X1,X1,X0))),
% 0.13/0.98 inference(cnf_transformation,[status(thm)],[f333])).
% 0.13/0.98 fof(f369,plain,(
% 0.13/0.98 (?[A,B,C,D,E,F,G,H,I,J,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,NWPNT6,NWPNT7,NWPNT8,NWPNT9,NWPNT01,NWPNT11,NWPNT21]: ((((((((((((((circle(A,B,NWPNT1,NWPNT2)&circle(C,B,NWPNT3,NWPNT4))&circle(A,B,D,NWPNT5))&circle(C,B,D,NWPNT6))&circle(C,B,E,NWPNT7))&circle(C,B,F,NWPNT8))&coll(D,E,G))&circle(A,D,G,NWPNT9))&coll(B,F,H))&circle(A,B,H,NWPNT01))&coll(D,H,I))&circle(C,D,I,NWPNT11))&coll(B,G,J))&circle(C,B,J,NWPNT21))&~para(E,F,I,J)))),
% 0.13/0.98 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 0.13/0.98 fof(f370,plain,(
% 0.13/0.98 ?[E,F,I,J]: ((?[B,C]: ((?[G]: ((?[D]: ((?[H]: ((?[A]: ((((((((((?[NWPNT1,NWPNT2]: circle(A,B,NWPNT1,NWPNT2))&(?[NWPNT3,NWPNT4]: circle(C,B,NWPNT3,NWPNT4)))&(?[NWPNT5]: circle(A,B,D,NWPNT5)))&(?[NWPNT6]: circle(C,B,D,NWPNT6)))&(?[NWPNT7]: circle(C,B,E,NWPNT7)))&(?[NWPNT8]: circle(C,B,F,NWPNT8)))&coll(D,E,G))&(?[NWPNT9]: circle(A,D,G,NWPNT9)))&coll(B,F,H))&(?[NWPNT01]: circle(A,B,H,NWPNT01))))&coll(D,H,I)))&(?[NWPNT11]: circle(C,D,I,NWPNT11))))&coll(B,G,J)))&(?[NWPNT21]: circle(C,B,J,NWPNT21))))&~para(E,F,I,J))),
% 0.13/0.98 inference(miniscoping,[status(thm)],[f369])).
% 0.13/0.98 fof(f371,plain,(
% 0.13/0.98 ((((((((((((((circle(sK29_skl,sK24_skl,sK30_skl,sK31_skl)&circle(sK25_skl,sK24_skl,sK32_skl,sK33_skl))&circle(sK29_skl,sK24_skl,sK27_skl,sK34_skl))&circle(sK25_skl,sK24_skl,sK27_skl,sK35_skl))&circle(sK25_skl,sK24_skl,sK20_skl,sK36_skl))&circle(sK25_skl,sK24_skl,sK21_skl,sK37_skl))&coll(sK27_skl,sK20_skl,sK26_skl))&circle(sK29_skl,sK27_skl,sK26_skl,sK38_skl))&coll(sK24_skl,sK21_skl,sK28_skl))&circle(sK29_skl,sK24_skl,sK28_skl,sK39_skl))&coll(sK27_skl,sK28_skl,sK22_skl))&circle(sK25_skl,sK27_skl,sK22_skl,sK40_skl))&coll(sK24_skl,sK26_skl,sK23_skl))&circle(sK25_skl,sK24_skl,sK23_skl,sK41_skl))&~para(sK20_skl,sK21_skl,sK22_skl,sK23_skl))),
% 0.13/0.98 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,sK32_skl,sK33_skl,sK34_skl,sK35_skl,sK36_skl,sK37_skl,sK38_skl,sK39_skl,sK40_skl,sK41_skl]),skolemize(E,sK20_skl),skolemize(F,sK21_skl),skolemize(I,sK22_skl),skolemize(J,sK23_skl),skolemize(B,sK24_skl),skolemize(C,sK25_skl),skolemize(G,sK26_skl),skolemize(D,sK27_skl),skolemize(H,sK28_skl),skolemize(A,sK29_skl),skolemize(NWPNT1,sK30_skl),skolemize(NWPNT2,sK31_skl),skolemize(NWPNT3,sK32_skl),skolemize(NWPNT4,sK33_skl),skolemize(NWPNT5,sK34_skl),skolemize(NWPNT6,sK35_skl),skolemize(NWPNT7,sK36_skl),skolemize(NWPNT8,sK37_skl),skolemize(NWPNT9,sK38_skl),skolemize(NWPNT01,sK39_skl),skolemize(NWPNT11,sK40_skl),skolemize(NWPNT21,sK41_skl)],[f370])).
% 0.13/0.98 fof(f377,plain,(
% 0.13/0.98 circle(sK25_skl,sK24_skl,sK21_skl,sK37_skl)),
% 0.13/0.98 inference(cnf_transformation,[status(thm)],[f371])).
% 0.13/0.98 fof(f386,plain,(
% 0.13/0.98 ~para(sK20_skl,sK21_skl,sK22_skl,sK23_skl)),
% 0.13/0.98 inference(cnf_transformation,[status(thm)],[f371])).
% 0.13/0.98 fof(f531,plain,(
% 0.13/0.98 perp(sK11_skl(sK25_skl,sK24_skl),sK24_skl,sK24_skl,sK25_skl)),
% 0.13/0.98 inference(resolution,[status(thm)],[f334,f377])).
% 0.13/0.98 fof(f1933,plain,(
% 0.13/0.98 perp(sK24_skl,sK25_skl,sK11_skl(sK25_skl,sK24_skl),sK24_skl)),
% 0.13/0.98 inference(resolution,[status(thm)],[f531,f114])).
% 0.13/0.98 fof(f1936,plain,(
% 0.13/0.98 ![X0,X1]: (~perp(X0,X1,sK11_skl(sK25_skl,sK24_skl),sK24_skl)|para(X0,X1,sK24_skl,sK25_skl))),
% 0.13/0.98 inference(resolution,[status(thm)],[f531,f117])).
% 0.13/0.98 fof(f3232,plain,(
% 0.13/0.98 para(sK24_skl,sK25_skl,sK24_skl,sK25_skl)),
% 0.13/0.98 inference(resolution,[status(thm)],[f1936,f1933])).
% 0.13/0.98 fof(f3242,plain,(
% 0.13/0.98 ![X0,X1]: (eqangle(sK24_skl,sK25_skl,X0,X1,sK24_skl,sK25_skl,X0,X1))),
% 0.13/0.98 inference(resolution,[status(thm)],[f3232,f189])).
% 0.13/0.98 fof(f3342,plain,(
% 0.13/0.98 ![X0]: (~cyclic(sK25_skl,X0,sK24_skl,sK25_skl)|~cyclic(sK25_skl,X0,sK24_skl,X0)|~cyclic(sK25_skl,X0,sK24_skl,sK24_skl)|cong(sK25_skl,X0,sK25_skl,X0))),
% 0.13/0.98 inference(resolution,[status(thm)],[f3242,f198])).
% 0.13/0.98 fof(f3350,plain,(
% 0.13/0.98 ![X0,X1]: (eqangle(sK24_skl,sK25_skl,sK24_skl,sK25_skl,X0,X1,X0,X1))),
% 0.13/0.98 inference(resolution,[status(thm)],[f3242,f144])).
% 0.13/0.98 fof(f3502,plain,(
% 0.13/0.98 ![X0]: (~coll(sK24_skl,X0,sK25_skl)|cyclic(sK25_skl,sK25_skl,sK24_skl,X0))),
% 0.13/0.98 inference(resolution,[status(thm)],[f3350,f195])).
% 0.13/0.98 fof(f3503,plain,(
% 0.13/0.98 ![X0]: (coll(sK24_skl,X0,sK25_skl)|cyclic(sK25_skl,sK25_skl,sK24_skl,X0))),
% 0.13/0.98 inference(resolution,[status(thm)],[f3350,f193])).
% 0.13/0.98 fof(f3537,plain,(
% 0.13/0.98 ![X0]: (cyclic(sK25_skl,sK25_skl,sK24_skl,X0))),
% 0.13/0.98 inference(forward_subsumption_resolution,[status(thm)],[f3503,f3502])).
% 0.13/0.98 fof(f3653,plain,(
% 0.13/0.98 ![X0,X1]: (~cyclic(sK25_skl,sK25_skl,sK24_skl,X0)|cyclic(sK25_skl,sK24_skl,X0,X1))),
% 0.13/0.98 inference(resolution,[status(thm)],[f3537,f136])).
% 0.13/0.98 fof(f3658,plain,(
% 0.13/0.98 ![X0,X1]: (cyclic(sK25_skl,sK24_skl,X0,X1))),
% 0.13/0.98 inference(forward_subsumption_resolution,[status(thm)],[f3653,f3537])).
% 0.13/0.98 fof(f3659,plain,(
% 0.13/0.98 ![X0,X1,X2]: (~cyclic(sK25_skl,sK24_skl,X0,X1)|cyclic(sK24_skl,X0,X1,X2))),
% 0.13/0.98 inference(resolution,[status(thm)],[f3658,f136])).
% 0.13/0.98 fof(f3662,plain,(
% 0.13/0.98 ![X0,X1]: (cyclic(sK25_skl,X0,sK24_skl,X1))),
% 0.13/0.98 inference(resolution,[status(thm)],[f3658,f131])).
% 0.13/0.98 fof(f3665,plain,(
% 0.13/0.98 ![X0,X1,X2]: (cyclic(sK24_skl,X0,X1,X2))),
% 0.13/0.98 inference(forward_subsumption_resolution,[status(thm)],[f3659,f3658])).
% 0.13/0.98 fof(f3666,plain,(
% 0.13/0.98 ![X0]: (~cyclic(sK25_skl,X0,sK24_skl,sK25_skl)|~cyclic(sK25_skl,X0,sK24_skl,X0)|cong(sK25_skl,X0,sK25_skl,X0))),
% 0.13/0.98 inference(backward_subsumption_resolution,[status(thm)],[f3342,f3662])).
% 0.13/0.99 fof(f3668,plain,(
% 0.13/0.99 ![X0]: (~cyclic(sK25_skl,X0,sK24_skl,X0)|cong(sK25_skl,X0,sK25_skl,X0))),
% 0.13/0.99 inference(forward_subsumption_resolution,[status(thm)],[f3666,f3662])).
% 0.13/0.99 fof(f3669,plain,(
% 0.13/0.99 ![X0,X1,X2,X3]: (~cyclic(sK24_skl,X0,X1,X2)|cyclic(X0,X1,X2,X3))),
% 0.13/0.99 inference(resolution,[status(thm)],[f3665,f136])).
% 0.13/0.99 fof(f3684,plain,(
% 0.13/0.99 ![X0]: (cong(sK25_skl,X0,sK25_skl,X0))),
% 0.13/0.99 inference(backward_subsumption_resolution,[status(thm)],[f3668,f3685])).
% 0.13/0.99 fof(f3685,plain,(
% 0.13/0.99 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3))),
% 0.13/0.99 inference(forward_subsumption_resolution,[status(thm)],[f3669,f3665])).
% 0.13/0.99 fof(f3708,plain,(
% 0.13/0.99 ![X0,X1]: (~cong(sK25_skl,X0,sK25_skl,X0)|perp(sK25_skl,sK25_skl,X0,X1))),
% 0.13/0.99 inference(resolution,[status(thm)],[f3684,f232])).
% 0.13/0.99 fof(f3725,plain,(
% 0.13/0.99 ![X0,X1]: (perp(sK25_skl,sK25_skl,X0,X1))),
% 0.13/0.99 inference(forward_subsumption_resolution,[status(thm)],[f3708,f3684])).
% 0.13/0.99 fof(f3738,plain,(
% 0.13/0.99 ![X0,X1]: (perp(X0,X1,sK25_skl,sK25_skl))),
% 0.13/0.99 inference(resolution,[status(thm)],[f3725,f114])).
% 0.13/0.99 fof(f3741,plain,(
% 0.13/0.99 ![X0,X1,X2,X3]: (~perp(X0,X1,sK25_skl,sK25_skl)|para(X0,X1,X2,X3))),
% 0.13/0.99 inference(resolution,[status(thm)],[f3725,f117])).
% 0.13/0.99 fof(f3756,plain,(
% 0.13/0.99 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3))),
% 0.13/0.99 inference(forward_subsumption_resolution,[status(thm)],[f3741,f3738])).
% 0.13/0.99 fof(f3757,plain,(
% 0.13/0.99 $false),
% 0.13/0.99 inference(backward_subsumption_resolution,[status(thm)],[f386,f3756])).
% 0.13/0.99 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/1.00 % Elapsed time: 0.422122 seconds
% 0.13/1.00 % CPU time: 3.131492 seconds
% 0.13/1.00 % Total memory used: 113.191 MB
% 0.13/1.00 % Net memory used: 109.780 MB
%------------------------------------------------------------------------------