%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO640+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 : 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 12:26:46 PM UTC 2026
% Result : Theorem 0.15s 1.13s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO640+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
% 0.10/0.53 % Computer : n011.cluster.edu
% 0.10/0.53 % Model : x86_64 x86_64
% 0.10/0.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.53 % Memory : 8046.5625MB
% 0.10/0.53 % OS : Linux 6.8.0-71-generic
% 0.10/0.53 % CPULimit : 300
% 0.10/0.53 % WCLimit : 300
% 0.10/0.53 % DateTime : Sun Sep 20 18:10:25 UTC 2026
% 0.10/0.53 % CPUTime :
% 0.10/0.55 % Drodi V4.1.1
% 0.15/1.13 % Refutation found
% 0.15/1.13 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/1.13 % SZS output start CNFRefutation for theBenchmark
% 0.15/1.13 fof(f4,axiom,(
% 0.15/1.13 (! [A,B,C,D] :( para(A,B,C,D)=> para(A,B,D,C) ) )),
% 0.15/1.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/1.13 fof(f8,axiom,(
% 0.15/1.13 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 0.15/1.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/1.13 fof(f9,axiom,(
% 0.15/1.13 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 0.15/1.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/1.13 fof(f14,axiom,(
% 0.15/1.13 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,B,D,C) ) )),
% 0.15/1.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/1.13 fof(f15,axiom,(
% 0.15/1.13 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,C,B,D) ) )),
% 0.15/1.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/1.13 fof(f16,axiom,(
% 0.15/1.13 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(B,A,C,D) ) )),
% 0.15/1.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/1.13 fof(f17,axiom,(
% 0.15/1.13 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 0.15/1.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/1.13 fof(f19,axiom,(
% 0.15/1.13 (! [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) ) )),
% 0.15/1.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/1.13 fof(f39,axiom,(
% 0.15/1.13 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 0.15/1.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/1.13 fof(f40,axiom,(
% 0.15/1.13 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 0.15/1.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/1.13 fof(f43,axiom,(
% 0.15/1.13 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 0.15/1.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/1.13 fof(f67,axiom,(
% 0.15/1.13 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 0.15/1.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/1.13 fof(f87,axiom,(
% 0.15/1.13 (! [A,B,C,O] :(? [P] :( circle(O,A,B,C)=> perp(P,A,A,O) ) ))),
% 0.15/1.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/1.13 fof(f95,conjecture,(
% 0.15/1.13 (! [Q4,Q1,Q3,Q0,Q2,P0,P1,P2,P3,P4,O0,O4,O3,O2,O1,M0,M4,M3,M2,M1,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,NWPNT6,NWPNT7,NWPNT8,NWPNT9,NWPNT01] :( ( coll(P0,Q4,Q1)& coll(P0,Q0,Q2)& coll(P1,Q1,Q3)& coll(P1,Q0,Q2)& coll(P2,Q1,Q3)& coll(P2,Q4,Q2)& coll(P3,Q3,Q0)& coll(P3,Q4,Q2)& coll(P4,Q4,Q1)& coll(P4,Q3,Q0)& circle(O0,Q0,P0,P4)& circle(O4,P4,P3,Q4)& circle(O3,P3,P2,Q3)& circle(O2,P1,P2,Q2)& circle(O1,P1,Q1,P0)& circle(O0,Q0,M0,NWPNT1)& circle(O1,Q1,M0,NWPNT2)& circle(O0,Q0,M4,NWPNT3)& circle(O4,Q4,M4,NWPNT4)& circle(O4,Q4,M3,NWPNT5)& circle(O3,Q3,M3,NWPNT6)& circle(O3,Q3,M2,NWPNT7)& circle(O2,Q2,M2,NWPNT8)& circle(O2,Q2,M1,NWPNT9)& circle(O1,Q1,M1,NWPNT01) )=> cyclic(M4,M3,M2,M1) ) )),
% 0.15/1.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/1.13 fof(f96,negated_conjecture,(
% 0.15/1.13 ~((! [Q4,Q1,Q3,Q0,Q2,P0,P1,P2,P3,P4,O0,O4,O3,O2,O1,M0,M4,M3,M2,M1,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,NWPNT6,NWPNT7,NWPNT8,NWPNT9,NWPNT01] :( ( coll(P0,Q4,Q1)& coll(P0,Q0,Q2)& coll(P1,Q1,Q3)& coll(P1,Q0,Q2)& coll(P2,Q1,Q3)& coll(P2,Q4,Q2)& coll(P3,Q3,Q0)& coll(P3,Q4,Q2)& coll(P4,Q4,Q1)& coll(P4,Q3,Q0)& circle(O0,Q0,P0,P4)& circle(O4,P4,P3,Q4)& circle(O3,P3,P2,Q3)& circle(O2,P1,P2,Q2)& circle(O1,P1,Q1,P0)& circle(O0,Q0,M0,NWPNT1)& circle(O1,Q1,M0,NWPNT2)& circle(O0,Q0,M4,NWPNT3)& circle(O4,Q4,M4,NWPNT4)& circle(O4,Q4,M3,NWPNT5)& circle(O3,Q3,M3,NWPNT6)& circle(O3,Q3,M2,NWPNT7)& circle(O2,Q2,M2,NWPNT8)& circle(O2,Q2,M1,NWPNT9)& circle(O1,Q1,M1,NWPNT01) )=> cyclic(M4,M3,M2,M1) ) ))),
% 0.15/1.13 inference(negated_conjecture,[status(cth)],[f95])).
% 0.15/1.13 fof(f104,plain,(
% 0.15/1.13 ![A,B,C,D]: (~para(A,B,C,D)|para(A,B,D,C))),
% 0.15/1.13 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.15/1.13 fof(f105,plain,(
% 0.15/1.13 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X0,X1,X3,X2))),
% 0.15/1.13 inference(cnf_transformation,[status(thm)],[f104])).
% 0.15/1.13 fof(f113,plain,(
% 0.15/1.13 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 0.15/1.13 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.15/1.13 fof(f114,plain,(
% 0.15/1.13 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 0.15/1.13 inference(cnf_transformation,[status(thm)],[f113])).
% 0.15/1.13 fof(f115,plain,(
% 0.15/1.13 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 0.15/1.13 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.15/1.13 fof(f116,plain,(
% 0.15/1.13 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 0.15/1.13 inference(miniscoping,[status(thm)],[f115])).
% 0.15/1.13 fof(f117,plain,(
% 0.15/1.13 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 0.15/1.13 inference(cnf_transformation,[status(thm)],[f116])).
% 0.15/1.13 fof(f128,plain,(
% 0.15/1.13 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,B,D,C))),
% 0.15/1.13 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 0.15/1.13 fof(f129,plain,(
% 0.15/1.13 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X1,X3,X2))),
% 0.15/1.13 inference(cnf_transformation,[status(thm)],[f128])).
% 0.15/1.13 fof(f130,plain,(
% 0.15/1.13 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,C,B,D))),
% 0.15/1.13 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.15/1.13 fof(f131,plain,(
% 0.15/1.13 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X2,X1,X3))),
% 0.15/1.13 inference(cnf_transformation,[status(thm)],[f130])).
% 0.15/1.13 fof(f132,plain,(
% 0.15/1.13 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(B,A,C,D))),
% 0.15/1.13 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 0.15/1.13 fof(f133,plain,(
% 0.15/1.13 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X1,X0,X2,X3))),
% 0.15/1.13 inference(cnf_transformation,[status(thm)],[f132])).
% 0.15/1.13 fof(f134,plain,(
% 0.15/1.13 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 0.15/1.13 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 0.15/1.13 fof(f135,plain,(
% 0.15/1.13 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 0.15/1.13 inference(miniscoping,[status(thm)],[f134])).
% 0.15/1.13 fof(f136,plain,(
% 0.15/1.13 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 0.15/1.13 inference(cnf_transformation,[status(thm)],[f135])).
% 0.15/1.13 fof(f139,plain,(
% 0.15/1.13 ![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))),
% 0.15/1.13 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 0.15/1.13 fof(f140,plain,(
% 0.15/1.13 ![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))),
% 0.15/1.13 inference(cnf_transformation,[status(thm)],[f139])).
% 0.15/1.13 fof(f184,plain,(
% 0.15/1.13 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 0.15/1.13 inference(pre_NNF_transformation,[status(thm)],[f39])).
% 0.15/1.13 fof(f185,plain,(
% 0.15/1.13 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 0.15/1.13 inference(miniscoping,[status(thm)],[f184])).
% 0.15/1.13 fof(f186,plain,(
% 0.15/1.13 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 0.15/1.13 inference(cnf_transformation,[status(thm)],[f185])).
% 0.15/1.13 fof(f187,plain,(
% 0.15/1.13 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 0.15/1.13 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 0.15/1.13 fof(f188,plain,(
% 0.15/1.13 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 0.15/1.13 inference(miniscoping,[status(thm)],[f187])).
% 0.15/1.13 fof(f189,plain,(
% 0.15/1.13 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 0.15/1.13 inference(cnf_transformation,[status(thm)],[f188])).
% 0.15/1.13 fof(f194,plain,(
% 0.15/1.13 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 0.15/1.13 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 0.15/1.13 fof(f195,plain,(
% 0.15/1.13 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 0.15/1.13 inference(cnf_transformation,[status(thm)],[f194])).
% 0.15/1.13 fof(f255,plain,(
% 0.15/1.13 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 0.15/1.13 inference(pre_NNF_transformation,[status(thm)],[f67])).
% 0.15/1.13 fof(f256,plain,(
% 0.15/1.13 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 0.15/1.13 inference(cnf_transformation,[status(thm)],[f255])).
% 0.15/1.13 fof(f331,plain,(
% 0.15/1.13 ![A,B,C,O]: (?[P]: (~circle(O,A,B,C)|perp(P,A,A,O)))),
% 0.15/1.13 inference(pre_NNF_transformation,[status(thm)],[f87])).
% 0.15/1.13 fof(f332,plain,(
% 0.15/1.13 ![A,O]: ((![B,C]: ~circle(O,A,B,C))|(?[P]: perp(P,A,A,O)))),
% 0.15/1.13 inference(miniscoping,[status(thm)],[f331])).
% 0.15/1.13 fof(f333,plain,(
% 0.15/1.13 ![A,O]: ((![B,C]: ~circle(O,A,B,C))|perp(sK11_skl(O,A),A,A,O))),
% 0.15/1.13 inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl]),skolemize(P,sK11_skl(O,A))],[f332])).
% 0.15/1.13 fof(f334,plain,(
% 0.15/1.13 ![X0,X1,X2,X3]: (~circle(X0,X1,X2,X3)|perp(sK11_skl(X0,X1),X1,X1,X0))),
% 0.15/1.13 inference(cnf_transformation,[status(thm)],[f333])).
% 0.15/1.13 fof(f369,plain,(
% 0.15/1.13 (?[Q4,Q1,Q3,Q0,Q2,P0,P1,P2,P3,P4,O0,O4,O3,O2,O1,M0,M4,M3,M2,M1,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,NWPNT6,NWPNT7,NWPNT8,NWPNT9,NWPNT01]: (((((((((((((((((((((((((coll(P0,Q4,Q1)&coll(P0,Q0,Q2))&coll(P1,Q1,Q3))&coll(P1,Q0,Q2))&coll(P2,Q1,Q3))&coll(P2,Q4,Q2))&coll(P3,Q3,Q0))&coll(P3,Q4,Q2))&coll(P4,Q4,Q1))&coll(P4,Q3,Q0))&circle(O0,Q0,P0,P4))&circle(O4,P4,P3,Q4))&circle(O3,P3,P2,Q3))&circle(O2,P1,P2,Q2))&circle(O1,P1,Q1,P0))&circle(O0,Q0,M0,NWPNT1))&circle(O1,Q1,M0,NWPNT2))&circle(O0,Q0,M4,NWPNT3))&circle(O4,Q4,M4,NWPNT4))&circle(O4,Q4,M3,NWPNT5))&circle(O3,Q3,M3,NWPNT6))&circle(O3,Q3,M2,NWPNT7))&circle(O2,Q2,M2,NWPNT8))&circle(O2,Q2,M1,NWPNT9))&circle(O1,Q1,M1,NWPNT01))&~cyclic(M4,M3,M2,M1)))),
% 0.15/1.13 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 0.15/1.13 fof(f370,plain,(
% 0.15/1.13 ?[M4,M3,M2,M1]: ((?[Q1,O1]: ((?[Q2,O2]: (((?[Q3,O3]: (((?[Q4,O4]: (((?[Q0,O0]: ((?[M0]: (((?[P0,P1]: ((?[P2]: ((?[P3]: ((?[P4]: (((((((((((coll(P0,Q4,Q1)&coll(P0,Q0,Q2))&coll(P1,Q1,Q3))&coll(P1,Q0,Q2))&coll(P2,Q1,Q3))&coll(P2,Q4,Q2))&coll(P3,Q3,Q0))&coll(P3,Q4,Q2))&coll(P4,Q4,Q1))&coll(P4,Q3,Q0))&circle(O0,Q0,P0,P4))&circle(O4,P4,P3,Q4)))&circle(O3,P3,P2,Q3)))&circle(O2,P1,P2,Q2)))&circle(O1,P1,Q1,P0)))&(?[NWPNT1]: circle(O0,Q0,M0,NWPNT1)))&(?[NWPNT2]: circle(O1,Q1,M0,NWPNT2))))&(?[NWPNT3]: circle(O0,Q0,M4,NWPNT3))))&(?[NWPNT4]: circle(O4,Q4,M4,NWPNT4)))&(?[NWPNT5]: circle(O4,Q4,M3,NWPNT5))))&(?[NWPNT6]: circle(O3,Q3,M3,NWPNT6)))&(?[NWPNT7]: circle(O3,Q3,M2,NWPNT7))))&(?[NWPNT8]: circle(O2,Q2,M2,NWPNT8)))&(?[NWPNT9]: circle(O2,Q2,M1,NWPNT9))))&(?[NWPNT01]: circle(O1,Q1,M1,NWPNT01))))&~cyclic(M4,M3,M2,M1))),
% 0.15/1.13 inference(miniscoping,[status(thm)],[f369])).
% 0.15/1.13 fof(f371,plain,(
% 0.15/1.13 (((((((((((((((((((((((((coll(sK35_skl,sK30_skl,sK24_skl)&coll(sK35_skl,sK32_skl,sK26_skl))&coll(sK36_skl,sK24_skl,sK28_skl))&coll(sK36_skl,sK32_skl,sK26_skl))&coll(sK37_skl,sK24_skl,sK28_skl))&coll(sK37_skl,sK30_skl,sK26_skl))&coll(sK38_skl,sK28_skl,sK32_skl))&coll(sK38_skl,sK30_skl,sK26_skl))&coll(sK39_skl,sK30_skl,sK24_skl))&coll(sK39_skl,sK28_skl,sK32_skl))&circle(sK33_skl,sK32_skl,sK35_skl,sK39_skl))&circle(sK31_skl,sK39_skl,sK38_skl,sK30_skl))&circle(sK29_skl,sK38_skl,sK37_skl,sK28_skl))&circle(sK27_skl,sK36_skl,sK37_skl,sK26_skl))&circle(sK25_skl,sK36_skl,sK24_skl,sK35_skl))&circle(sK33_skl,sK32_skl,sK34_skl,sK40_skl))&circle(sK25_skl,sK24_skl,sK34_skl,sK41_skl))&circle(sK33_skl,sK32_skl,sK20_skl,sK42_skl))&circle(sK31_skl,sK30_skl,sK20_skl,sK43_skl))&circle(sK31_skl,sK30_skl,sK21_skl,sK44_skl))&circle(sK29_skl,sK28_skl,sK21_skl,sK45_skl))&circle(sK29_skl,sK28_skl,sK22_skl,sK46_skl))&circle(sK27_skl,sK26_skl,sK22_skl,sK47_skl))&circle(sK27_skl,sK26_skl,sK23_skl,sK48_skl))&circle(sK25_skl,sK24_skl,sK23_skl,sK49_skl))&~cyclic(sK20_skl,sK21_skl,sK22_skl,sK23_skl))),
% 0.15/1.13 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,sK42_skl,sK43_skl,sK44_skl,sK45_skl,sK46_skl,sK47_skl,sK48_skl,sK49_skl]),skolemize(M4,sK20_skl),skolemize(M3,sK21_skl),skolemize(M2,sK22_skl),skolemize(M1,sK23_skl),skolemize(Q1,sK24_skl),skolemize(O1,sK25_skl),skolemize(Q2,sK26_skl),skolemize(O2,sK27_skl),skolemize(Q3,sK28_skl),skolemize(O3,sK29_skl),skolemize(Q4,sK30_skl),skolemize(O4,sK31_skl),skolemize(Q0,sK32_skl),skolemize(O0,sK33_skl),skolemize(M0,sK34_skl),skolemize(P0,sK35_skl),skolemize(P1,sK36_skl),skolemize(P2,sK37_skl),skolemize(P3,sK38_skl),skolemize(P4,sK39_skl),skolemize(NWPNT1,sK40_skl),skolemize(NWPNT2,sK41_skl),skolemize(NWPNT3,sK42_skl),skolemize(NWPNT4,sK43_skl),skolemize(NWPNT5,sK44_skl),skolemize(NWPNT6,sK45_skl),skolemize(NWPNT7,sK46_skl),skolemize(NWPNT8,sK47_skl),skolemize(NWPNT9,sK48_skl),skolemize(NWPNT01,sK49_skl)],[f370])).
% 0.15/1.13 fof(f396,plain,(
% 0.15/1.13 circle(sK25_skl,sK24_skl,sK23_skl,sK49_skl)),
% 0.15/1.13 inference(cnf_transformation,[status(thm)],[f371])).
% 0.15/1.13 fof(f397,plain,(
% 0.15/1.13 ~cyclic(sK20_skl,sK21_skl,sK22_skl,sK23_skl)),
% 0.15/1.13 inference(cnf_transformation,[status(thm)],[f371])).
% 0.15/1.13 fof(f431,plain,(
% 0.15/1.13 ![X0,X1,X2,X3,X4,X5]: (~circle(X0,X1,X2,X3)|~perp(X4,X5,sK11_skl(X0,X1),X1)|para(X4,X5,X1,X0))),
% 0.15/1.13 inference(resolution,[status(thm)],[f334,f117])).
% 0.15/1.14 fof(f563,plain,(
% 0.15/1.14 ![X0,X1,X2,X3,X4,X5]: (~circle(X0,X1,X2,X3)|para(X4,X5,X1,X0)|~perp(sK11_skl(X0,X1),X1,X4,X5))),
% 0.15/1.14 inference(resolution,[status(thm)],[f431,f114])).
% 0.15/1.14 fof(f668,plain,(
% 0.15/1.14 ![X0,X1,X2,X3,X4,X5]: (~circle(X0,X1,X2,X3)|para(X1,X0,X1,X0)|~circle(X0,X1,X4,X5))),
% 0.15/1.14 inference(resolution,[status(thm)],[f563,f334])).
% 0.15/1.14 fof(f674,plain,(
% 0.15/1.14 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~circle(X0,X1,X2,X3)|~circle(X0,X1,X4,X5)|eqangle(X1,X0,X6,X7,X1,X0,X6,X7))),
% 0.15/1.14 inference(resolution,[status(thm)],[f668,f189])).
% 0.15/1.14 fof(f975,plain,(
% 0.15/1.14 ![X0,X1,X2,X3]: (~circle(sK25_skl,sK24_skl,X0,X1)|eqangle(sK24_skl,sK25_skl,X2,X3,sK24_skl,sK25_skl,X2,X3))),
% 0.15/1.14 inference(resolution,[status(thm)],[f674,f396])).
% 0.15/1.14 fof(f1036,plain,(
% 0.15/1.14 ![X0,X1]: (eqangle(sK24_skl,sK25_skl,X0,X1,sK24_skl,sK25_skl,X0,X1))),
% 0.15/1.14 inference(resolution,[status(thm)],[f975,f396])).
% 0.15/1.14 fof(f1045,plain,(
% 0.15/1.14 ![X0,X1]: (eqangle(X0,X1,sK24_skl,sK25_skl,X0,X1,sK24_skl,sK25_skl))),
% 0.15/1.14 inference(resolution,[status(thm)],[f1036,f140])).
% 0.15/1.14 fof(f1107,plain,(
% 0.15/1.14 ![X0,X1]: (para(X0,X1,X0,X1))),
% 0.15/1.14 inference(resolution,[status(thm)],[f1045,f186])).
% 0.15/1.14 fof(f1117,plain,(
% 0.15/1.14 ![X0,X1]: (para(X0,X1,X1,X0))),
% 0.15/1.14 inference(resolution,[status(thm)],[f1107,f105])).
% 0.15/1.14 fof(f1118,plain,(
% 0.15/1.14 ![X0,X1]: (coll(X0,X1,X1))),
% 0.15/1.14 inference(resolution,[status(thm)],[f1107,f256])).
% 0.15/1.14 fof(f1120,plain,(
% 0.15/1.14 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X3,X1,X0,X2,X3))),
% 0.15/1.14 inference(resolution,[status(thm)],[f1117,f189])).
% 0.15/1.14 fof(f1157,plain,(
% 0.15/1.14 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X3,X0,X1,X3,X2))),
% 0.15/1.14 inference(resolution,[status(thm)],[f1120,f140])).
% 0.15/1.14 fof(f1217,plain,(
% 0.15/1.14 ![X0,X1]: (~coll(X0,X0,X0)|cyclic(X1,X0,X0,X0))),
% 0.15/1.14 inference(resolution,[status(thm)],[f1157,f195])).
% 0.15/1.14 fof(f1219,plain,(
% 0.15/1.14 ![X0,X1]: (cyclic(X0,X1,X1,X1))),
% 0.15/1.14 inference(forward_subsumption_resolution,[status(thm)],[f1217,f1118])).
% 0.15/1.14 fof(f1236,plain,(
% 0.15/1.14 ![X0,X1]: (cyclic(X0,X1,X0,X0))),
% 0.15/1.14 inference(resolution,[status(thm)],[f1219,f133])).
% 0.15/1.14 fof(f1248,plain,(
% 0.15/1.14 ![X0,X1]: (cyclic(X0,X0,X1,X0))),
% 0.15/1.14 inference(resolution,[status(thm)],[f1236,f131])).
% 0.15/1.14 fof(f1260,plain,(
% 0.15/1.14 ![X0,X1]: (cyclic(X0,X0,X0,X1))),
% 0.15/1.14 inference(resolution,[status(thm)],[f1248,f129])).
% 0.15/1.14 fof(f1267,plain,(
% 0.15/1.14 ![X0,X1,X2]: (~cyclic(X0,X0,X0,X1)|cyclic(X0,X0,X1,X2))),
% 0.15/1.14 inference(resolution,[status(thm)],[f1260,f136])).
% 0.15/1.14 fof(f1277,plain,(
% 0.15/1.14 ![X0,X1,X2]: (cyclic(X0,X0,X1,X2))),
% 0.15/1.14 inference(forward_subsumption_resolution,[status(thm)],[f1267,f1260])).
% 0.15/1.14 fof(f1284,plain,(
% 0.15/1.14 ![X0,X1,X2,X3]: (~cyclic(X0,X0,X1,X2)|cyclic(X0,X1,X2,X3))),
% 0.15/1.14 inference(resolution,[status(thm)],[f1277,f136])).
% 0.15/1.14 fof(f1294,plain,(
% 0.15/1.14 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3))),
% 0.15/1.14 inference(forward_subsumption_resolution,[status(thm)],[f1284,f1277])).
% 0.15/1.14 fof(f1300,plain,(
% 0.15/1.14 $false),
% 0.15/1.14 inference(backward_subsumption_resolution,[status(thm)],[f397,f1294])).
% 0.15/1.14 % SZS output end CNFRefutation for theBenchmark.p
% 3.22/1.16 % Elapsed time: 0.616397 seconds
% 3.22/1.16 % CPU time: 4.607569 seconds
% 3.22/1.16 % Total memory used: 119.547 MB
% 3.22/1.16 % Net memory used: 116.051 MB
%------------------------------------------------------------------------------