%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO602+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 : n020.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 12:26:42 PM UTC 2026
% Result : Theorem 2.97s 0.87s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO602+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
% 0.11/0.38 % Computer : n020.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 20 17:46:03 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.40 % Drodi V4.1.1
% 2.97/0.87 % Refutation found
% 2.97/0.87 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.97/0.87 % SZS output start CNFRefutation for theBenchmark
% 2.97/0.87 fof(f8,axiom,(
% 2.97/0.87 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 2.97/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.97/0.87 fof(f9,axiom,(
% 2.97/0.87 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 2.97/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.97/0.87 fof(f10,axiom,(
% 2.97/0.87 (! [A,B,C,D,E,F] :( ( para(A,B,C,D)& perp(C,D,E,F) )=> perp(A,B,E,F) ) )),
% 2.97/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.97/0.87 fof(f17,axiom,(
% 2.97/0.87 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 2.97/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.97/0.87 fof(f21,axiom,(
% 2.97/0.87 (! [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) ) )),
% 2.97/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.97/0.87 fof(f40,axiom,(
% 2.97/0.87 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 2.97/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.97/0.87 fof(f41,axiom,(
% 2.97/0.87 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 2.97/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.97/0.87 fof(f42,axiom,(
% 2.97/0.87 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& ~ coll(P,Q,A) )=> cyclic(A,B,P,Q) ) )),
% 2.97/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.97/0.87 fof(f43,axiom,(
% 2.97/0.87 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 2.97/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.97/0.87 fof(f44,axiom,(
% 2.97/0.87 (! [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) ) )),
% 2.97/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.97/0.87 fof(f57,axiom,(
% 2.97/0.87 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 2.97/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.97/0.87 fof(f87,axiom,(
% 2.97/0.87 (! [A,B,C,O] :(? [P] :( circle(O,A,B,C)=> perp(P,A,A,O) ) ))),
% 2.97/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.97/0.87 fof(f95,conjecture,(
% 2.97/0.87 (! [A,B,E,F,D,M,E1,F1,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,NWPNT6,NWPNT7,NWPNT8,NWPNT9] :( ( circle(B,E,NWPNT1,NWPNT2)& circle(A,E,NWPNT3,NWPNT4)& circle(B,E,F,NWPNT5)& circle(A,E,F,NWPNT6)& coll(D,A,B)& coll(D,E,F)& circle(B,E,M,NWPNT7)& circle(A,E,E1,NWPNT8)& coll(E1,E,M)& coll(F1,F,M)& circle(A,E,F1,NWPNT9) )=> perp(E1,F1,M,B) ) )),
% 2.97/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.97/0.87 fof(f96,negated_conjecture,(
% 2.97/0.87 ~((! [A,B,E,F,D,M,E1,F1,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,NWPNT6,NWPNT7,NWPNT8,NWPNT9] :( ( circle(B,E,NWPNT1,NWPNT2)& circle(A,E,NWPNT3,NWPNT4)& circle(B,E,F,NWPNT5)& circle(A,E,F,NWPNT6)& coll(D,A,B)& coll(D,E,F)& circle(B,E,M,NWPNT7)& circle(A,E,E1,NWPNT8)& coll(E1,E,M)& coll(F1,F,M)& circle(A,E,F1,NWPNT9) )=> perp(E1,F1,M,B) ) ))),
% 2.97/0.87 inference(negated_conjecture,[status(cth)],[f95])).
% 2.97/0.87 fof(f113,plain,(
% 2.97/0.87 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 2.97/0.87 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 2.97/0.87 fof(f114,plain,(
% 2.97/0.87 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 2.97/0.87 inference(cnf_transformation,[status(thm)],[f113])).
% 2.97/0.87 fof(f115,plain,(
% 2.97/0.87 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 2.97/0.87 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 2.97/0.87 fof(f116,plain,(
% 2.97/0.87 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 2.97/0.87 inference(miniscoping,[status(thm)],[f115])).
% 2.97/0.87 fof(f117,plain,(
% 2.97/0.87 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 2.97/0.87 inference(cnf_transformation,[status(thm)],[f116])).
% 2.97/0.87 fof(f118,plain,(
% 2.97/0.87 ![A,B,C,D,E,F]: ((~para(A,B,C,D)|~perp(C,D,E,F))|perp(A,B,E,F))),
% 2.97/0.87 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 2.97/0.87 fof(f119,plain,(
% 2.97/0.87 ![A,B,E,F]: ((![C,D]: (~para(A,B,C,D)|~perp(C,D,E,F)))|perp(A,B,E,F))),
% 2.97/0.87 inference(miniscoping,[status(thm)],[f118])).
% 2.97/0.87 fof(f120,plain,(
% 2.97/0.87 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|perp(X0,X1,X4,X5))),
% 2.97/0.87 inference(cnf_transformation,[status(thm)],[f119])).
% 2.97/0.87 fof(f134,plain,(
% 2.97/0.87 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 2.97/0.87 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 2.97/0.87 fof(f135,plain,(
% 2.97/0.87 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 2.97/0.87 inference(miniscoping,[status(thm)],[f134])).
% 2.97/0.87 fof(f136,plain,(
% 2.97/0.87 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 2.97/0.87 inference(cnf_transformation,[status(thm)],[f135])).
% 2.97/0.87 fof(f143,plain,(
% 2.97/0.87 ![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))),
% 2.97/0.87 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 2.97/0.87 fof(f144,plain,(
% 2.97/0.87 ![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))),
% 2.97/0.87 inference(cnf_transformation,[status(thm)],[f143])).
% 2.97/0.87 fof(f187,plain,(
% 2.97/0.87 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 2.97/0.87 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 2.97/0.87 fof(f188,plain,(
% 2.97/0.87 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 2.97/0.87 inference(miniscoping,[status(thm)],[f187])).
% 2.97/0.87 fof(f189,plain,(
% 2.97/0.87 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 2.97/0.87 inference(cnf_transformation,[status(thm)],[f188])).
% 2.97/0.87 fof(f190,plain,(
% 2.97/0.87 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 2.97/0.87 inference(pre_NNF_transformation,[status(thm)],[f41])).
% 2.97/0.87 fof(f191,plain,(
% 2.97/0.87 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 2.97/0.87 inference(cnf_transformation,[status(thm)],[f190])).
% 2.97/0.87 fof(f192,plain,(
% 2.97/0.87 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|coll(P,Q,A))|cyclic(A,B,P,Q))),
% 2.97/0.87 inference(pre_NNF_transformation,[status(thm)],[f42])).
% 2.97/0.87 fof(f193,plain,(
% 2.97/0.87 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|coll(X0,X3,X1)|cyclic(X1,X2,X0,X3))),
% 2.97/0.87 inference(cnf_transformation,[status(thm)],[f192])).
% 2.97/0.87 fof(f194,plain,(
% 2.97/0.87 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 2.97/0.87 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 2.97/0.87 fof(f195,plain,(
% 2.97/0.87 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 2.97/0.87 inference(cnf_transformation,[status(thm)],[f194])).
% 2.97/0.87 fof(f196,plain,(
% 2.97/0.87 ![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))),
% 2.97/0.87 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 2.97/0.87 fof(f197,plain,(
% 2.97/0.87 ![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))),
% 2.97/0.87 inference(miniscoping,[status(thm)],[f196])).
% 2.97/0.87 fof(f198,plain,(
% 2.97/0.87 ![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))),
% 2.97/0.87 inference(cnf_transformation,[status(thm)],[f197])).
% 2.97/0.87 fof(f231,plain,(
% 2.97/0.87 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 2.97/0.87 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 2.97/0.87 fof(f232,plain,(
% 2.97/0.87 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 2.97/0.87 inference(cnf_transformation,[status(thm)],[f231])).
% 2.97/0.87 fof(f331,plain,(
% 2.97/0.87 ![A,B,C,O]: (?[P]: (~circle(O,A,B,C)|perp(P,A,A,O)))),
% 2.97/0.87 inference(pre_NNF_transformation,[status(thm)],[f87])).
% 2.97/0.87 fof(f332,plain,(
% 2.97/0.87 ![A,O]: ((![B,C]: ~circle(O,A,B,C))|(?[P]: perp(P,A,A,O)))),
% 2.97/0.87 inference(miniscoping,[status(thm)],[f331])).
% 2.97/0.87 fof(f333,plain,(
% 2.97/0.87 ![A,O]: ((![B,C]: ~circle(O,A,B,C))|perp(sK11_skl(O,A),A,A,O))),
% 2.97/0.87 inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl]),skolemize(P,sK11_skl(O,A))],[f332])).
% 2.97/0.87 fof(f334,plain,(
% 2.97/0.87 ![X0,X1,X2,X3]: (~circle(X0,X1,X2,X3)|perp(sK11_skl(X0,X1),X1,X1,X0))),
% 2.97/0.87 inference(cnf_transformation,[status(thm)],[f333])).
% 2.97/0.87 fof(f369,plain,(
% 2.97/0.87 (?[A,B,E,F,D,M,E1,F1,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,NWPNT6,NWPNT7,NWPNT8,NWPNT9]: (((((((((((circle(B,E,NWPNT1,NWPNT2)&circle(A,E,NWPNT3,NWPNT4))&circle(B,E,F,NWPNT5))&circle(A,E,F,NWPNT6))&coll(D,A,B))&coll(D,E,F))&circle(B,E,M,NWPNT7))&circle(A,E,E1,NWPNT8))&coll(E1,E,M))&coll(F1,F,M))&circle(A,E,F1,NWPNT9))&~perp(E1,F1,M,B)))),
% 2.97/0.87 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 2.97/0.87 fof(f370,plain,(
% 2.97/0.87 ?[B,M,E1,F1]: ((?[A,E]: ((?[F]: (((((?[D]: ((((((?[NWPNT1,NWPNT2]: circle(B,E,NWPNT1,NWPNT2))&(?[NWPNT3,NWPNT4]: circle(A,E,NWPNT3,NWPNT4)))&(?[NWPNT5]: circle(B,E,F,NWPNT5)))&(?[NWPNT6]: circle(A,E,F,NWPNT6)))&coll(D,A,B))&coll(D,E,F)))&(?[NWPNT7]: circle(B,E,M,NWPNT7)))&(?[NWPNT8]: circle(A,E,E1,NWPNT8)))&coll(E1,E,M))&coll(F1,F,M)))&(?[NWPNT9]: circle(A,E,F1,NWPNT9))))&~perp(E1,F1,M,B))),
% 2.97/0.87 inference(miniscoping,[status(thm)],[f369])).
% 2.97/0.87 fof(f371,plain,(
% 2.97/0.87 (((((((((((circle(sK20_skl,sK25_skl,sK28_skl,sK29_skl)&circle(sK24_skl,sK25_skl,sK30_skl,sK31_skl))&circle(sK20_skl,sK25_skl,sK26_skl,sK32_skl))&circle(sK24_skl,sK25_skl,sK26_skl,sK33_skl))&coll(sK27_skl,sK24_skl,sK20_skl))&coll(sK27_skl,sK25_skl,sK26_skl))&circle(sK20_skl,sK25_skl,sK21_skl,sK34_skl))&circle(sK24_skl,sK25_skl,sK22_skl,sK35_skl))&coll(sK22_skl,sK25_skl,sK21_skl))&coll(sK23_skl,sK26_skl,sK21_skl))&circle(sK24_skl,sK25_skl,sK23_skl,sK36_skl))&~perp(sK22_skl,sK23_skl,sK21_skl,sK20_skl))),
% 2.97/0.87 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]),skolemize(B,sK20_skl),skolemize(M,sK21_skl),skolemize(E1,sK22_skl),skolemize(F1,sK23_skl),skolemize(A,sK24_skl),skolemize(E,sK25_skl),skolemize(F,sK26_skl),skolemize(D,sK27_skl),skolemize(NWPNT1,sK28_skl),skolemize(NWPNT2,sK29_skl),skolemize(NWPNT3,sK30_skl),skolemize(NWPNT4,sK31_skl),skolemize(NWPNT5,sK32_skl),skolemize(NWPNT6,sK33_skl),skolemize(NWPNT7,sK34_skl),skolemize(NWPNT8,sK35_skl),skolemize(NWPNT9,sK36_skl)],[f370])).
% 2.97/0.87 fof(f382,plain,(
% 2.97/0.87 circle(sK24_skl,sK25_skl,sK23_skl,sK36_skl)),
% 2.97/0.87 inference(cnf_transformation,[status(thm)],[f371])).
% 2.97/0.87 fof(f383,plain,(
% 2.97/0.87 ~perp(sK22_skl,sK23_skl,sK21_skl,sK20_skl)),
% 2.97/0.87 inference(cnf_transformation,[status(thm)],[f371])).
% 2.97/0.87 fof(f539,plain,(
% 2.97/0.87 perp(sK11_skl(sK24_skl,sK25_skl),sK25_skl,sK25_skl,sK24_skl)),
% 2.97/0.87 inference(resolution,[status(thm)],[f334,f382])).
% 2.97/0.87 fof(f704,plain,(
% 2.97/0.87 ![X0,X1]: (~perp(X0,X1,sK11_skl(sK24_skl,sK25_skl),sK25_skl)|para(X0,X1,sK25_skl,sK24_skl))),
% 2.97/0.87 inference(resolution,[status(thm)],[f539,f117])).
% 2.97/0.87 fof(f706,plain,(
% 2.97/0.87 perp(sK25_skl,sK24_skl,sK11_skl(sK24_skl,sK25_skl),sK25_skl)),
% 2.97/0.87 inference(resolution,[status(thm)],[f539,f114])).
% 2.97/0.87 fof(f2232,plain,(
% 2.97/0.87 para(sK25_skl,sK24_skl,sK25_skl,sK24_skl)),
% 2.97/0.87 inference(resolution,[status(thm)],[f706,f704])).
% 2.97/0.87 fof(f2275,plain,(
% 2.97/0.87 ![X0,X1]: (eqangle(sK25_skl,sK24_skl,X0,X1,sK25_skl,sK24_skl,X0,X1))),
% 2.97/0.87 inference(resolution,[status(thm)],[f2232,f189])).
% 2.97/0.87 fof(f2308,plain,(
% 2.97/0.87 ![X0,X1]: (eqangle(sK25_skl,sK24_skl,sK25_skl,sK24_skl,X0,X1,X0,X1))),
% 2.97/0.87 inference(resolution,[status(thm)],[f2275,f144])).
% 2.97/0.87 fof(f2573,plain,(
% 2.97/0.87 ![X0]: (~coll(sK25_skl,X0,sK24_skl)|cyclic(sK24_skl,sK24_skl,sK25_skl,X0))),
% 2.97/0.87 inference(resolution,[status(thm)],[f2308,f195])).
% 2.97/0.87 fof(f2574,plain,(
% 2.97/0.87 ![X0]: (coll(sK25_skl,X0,sK24_skl)|cyclic(sK24_skl,sK24_skl,sK25_skl,X0))),
% 2.97/0.87 inference(resolution,[status(thm)],[f2308,f193])).
% 2.97/0.87 fof(f2597,plain,(
% 2.97/0.87 ![X0]: (cyclic(sK24_skl,sK24_skl,sK25_skl,X0))),
% 2.97/0.87 inference(forward_subsumption_resolution,[status(thm)],[f2574,f2573])).
% 2.97/0.87 fof(f2709,plain,(
% 2.97/0.87 ![X0,X1]: (~cyclic(sK24_skl,sK24_skl,sK25_skl,X0)|cyclic(sK24_skl,sK25_skl,X0,X1))),
% 2.97/0.87 inference(resolution,[status(thm)],[f2597,f136])).
% 2.97/0.87 fof(f2716,plain,(
% 2.97/0.87 ![X0,X1]: (cyclic(sK24_skl,sK25_skl,X0,X1))),
% 2.97/0.87 inference(forward_subsumption_resolution,[status(thm)],[f2709,f2597])).
% 2.97/0.87 fof(f2719,plain,(
% 2.97/0.87 ![X0,X1,X2]: (~cyclic(sK24_skl,sK25_skl,X0,X1)|cyclic(sK25_skl,X0,X1,X2))),
% 2.97/0.87 inference(resolution,[status(thm)],[f2716,f136])).
% 2.97/0.87 fof(f2727,plain,(
% 2.97/0.87 ![X0,X1,X2]: (cyclic(sK25_skl,X0,X1,X2))),
% 2.97/0.87 inference(forward_subsumption_resolution,[status(thm)],[f2719,f2716])).
% 2.97/0.87 fof(f2733,plain,(
% 2.97/0.87 ![X0,X1,X2,X3]: (~cyclic(sK25_skl,X0,X1,X2)|cyclic(X0,X1,X2,X3))),
% 2.97/0.87 inference(resolution,[status(thm)],[f2727,f136])).
% 2.97/0.87 fof(f2739,plain,(
% 2.97/0.87 ![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))),
% 2.97/0.87 inference(backward_subsumption_resolution,[status(thm)],[f198,f2749])).
% 2.97/0.87 fof(f2743,plain,(
% 2.97/0.87 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2))),
% 2.97/0.87 inference(backward_subsumption_resolution,[status(thm)],[f191,f2749])).
% 2.97/0.87 fof(f2749,plain,(
% 2.97/0.87 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3))),
% 2.97/0.87 inference(forward_subsumption_resolution,[status(thm)],[f2733,f2727])).
% 2.97/0.87 fof(f2750,plain,(
% 2.97/0.87 ![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))),
% 2.97/0.87 inference(forward_subsumption_resolution,[status(thm)],[f2739,f2749])).
% 2.97/0.87 fof(f2927,plain,(
% 2.97/0.87 ![X0,X1,X2]: (~cyclic(X0,X1,X2,X1)|cong(X0,X1,X0,X1))),
% 2.97/0.87 inference(resolution,[status(thm)],[f2750,f2743])).
% 2.97/0.87 fof(f2932,plain,(
% 2.97/0.87 ![X0,X1]: (cong(X0,X1,X0,X1))),
% 2.97/0.87 inference(forward_subsumption_resolution,[status(thm)],[f2927,f2749])).
% 2.97/0.87 fof(f2962,plain,(
% 2.97/0.87 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X0,X0,X1,X2))),
% 2.97/0.87 inference(resolution,[status(thm)],[f2932,f232])).
% 2.97/0.87 fof(f3006,plain,(
% 2.97/0.87 ![X0,X1,X2]: (perp(X0,X0,X1,X2))),
% 2.97/0.87 inference(forward_subsumption_resolution,[status(thm)],[f2962,f2932])).
% 2.97/0.87 fof(f3066,plain,(
% 2.97/0.87 ![X0,X1,X2,X3,X4]: (~para(X0,X1,X2,X2)|perp(X0,X1,X3,X4))),
% 2.97/0.87 inference(resolution,[status(thm)],[f3006,f120])).
% 2.97/0.87 fof(f3067,plain,(
% 2.97/0.87 ![X0,X1,X2,X3,X4]: (~perp(X0,X1,X2,X2)|para(X0,X1,X3,X4))),
% 2.97/0.87 inference(resolution,[status(thm)],[f3006,f117])).
% 2.97/0.87 fof(f3068,plain,(
% 2.97/0.87 ![X0,X1,X2]: (perp(X0,X1,X2,X2))),
% 2.97/0.87 inference(resolution,[status(thm)],[f3006,f114])).
% 2.97/0.87 fof(f3071,plain,(
% 2.97/0.87 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3))),
% 2.97/0.87 inference(backward_subsumption_resolution,[status(thm)],[f3067,f3068])).
% 2.97/0.87 fof(f3079,plain,(
% 2.97/0.87 ![X0,X1,X2,X3]: (perp(X0,X1,X2,X3))),
% 2.97/0.87 inference(backward_subsumption_resolution,[status(thm)],[f3066,f3071])).
% 2.97/0.87 fof(f3093,plain,(
% 2.97/0.87 $false),
% 2.97/0.87 inference(backward_subsumption_resolution,[status(thm)],[f383,f3079])).
% 2.97/0.87 % SZS output end CNFRefutation for theBenchmark.p
% 2.97/0.88 % Elapsed time: 0.486613 seconds
% 2.97/0.88 % CPU time: 3.581358 seconds
% 2.97/0.88 % Total memory used: 116.351 MB
% 2.97/0.88 % Net memory used: 112.536 MB
%------------------------------------------------------------------------------