%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO630+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 : n003.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 12:26:45 PM UTC 2026
% Result : Theorem 4.75s 1.24s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO630+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
% 0.10/0.36 % Computer : n003.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 18:08:00 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 4.75/1.24 % Refutation found
% 4.75/1.24 % SZS status Theorem for theBenchmark: Theorem is valid
% 4.75/1.24 % SZS output start CNFRefutation for theBenchmark
% 4.75/1.24 fof(f3,axiom,(
% 4.75/1.24 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 4.75/1.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.75/1.24 fof(f4,axiom,(
% 4.75/1.24 (! [A,B,C,D] :( para(A,B,C,D)=> para(A,B,D,C) ) )),
% 4.75/1.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.75/1.24 fof(f5,axiom,(
% 4.75/1.24 (! [A,B,C,D] :( para(A,B,C,D)=> para(C,D,A,B) ) )),
% 4.75/1.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.75/1.24 fof(f7,axiom,(
% 4.75/1.24 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(A,B,D,C) ) )),
% 4.75/1.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.75/1.24 fof(f8,axiom,(
% 4.75/1.24 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 4.75/1.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.75/1.24 fof(f9,axiom,(
% 4.75/1.24 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 4.75/1.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.75/1.24 fof(f10,axiom,(
% 4.75/1.24 (! [A,B,C,D,E,F] :( ( para(A,B,C,D)& perp(C,D,E,F) )=> perp(A,B,E,F) ) )),
% 4.75/1.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.75/1.24 fof(f14,axiom,(
% 4.75/1.24 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,B,D,C) ) )),
% 4.75/1.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.75/1.24 fof(f15,axiom,(
% 4.75/1.24 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,C,B,D) ) )),
% 4.75/1.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.75/1.24 fof(f16,axiom,(
% 4.75/1.24 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(B,A,C,D) ) )),
% 4.75/1.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.75/1.24 fof(f17,axiom,(
% 4.75/1.24 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 4.75/1.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.75/1.24 fof(f19,axiom,(
% 4.75/1.24 (! [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) ) )),
% 4.75/1.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.75/1.24 fof(f21,axiom,(
% 4.75/1.24 (! [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) ) )),
% 4.75/1.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.75/1.24 fof(f39,axiom,(
% 4.75/1.24 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 4.75/1.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.75/1.24 fof(f40,axiom,(
% 4.75/1.24 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 4.75/1.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.75/1.24 fof(f42,axiom,(
% 4.75/1.24 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& ~ coll(P,Q,A) )=> cyclic(A,B,P,Q) ) )),
% 4.75/1.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.75/1.24 fof(f43,axiom,(
% 4.75/1.24 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 4.75/1.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.75/1.24 fof(f44,axiom,(
% 4.75/1.24 (! [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) ) )),
% 4.75/1.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.75/1.24 fof(f57,axiom,(
% 4.75/1.24 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 4.75/1.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.75/1.24 fof(f95,conjecture,(
% 4.75/1.24 (! [A,B,C,O,D1,D,F,G,G1,F1,NWPNT1,NWPNT2] :( ( circle(O,A,B,C)& circle(O,A,D1,NWPNT1)& circle(O,D1,D,NWPNT2)& coll(D,D1,O)& perp(F,D,A,C)& coll(F,A,C)& perp(G,D,A,B)& coll(G,A,B)& perp(G1,D1,A,B)& coll(G1,A,B)& perp(F1,D1,A,C)& coll(F1,A,C) )=> perp(G1,F1,G,F) ) )),
% 4.75/1.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.75/1.24 fof(f96,negated_conjecture,(
% 4.75/1.24 ~((! [A,B,C,O,D1,D,F,G,G1,F1,NWPNT1,NWPNT2] :( ( circle(O,A,B,C)& circle(O,A,D1,NWPNT1)& circle(O,D1,D,NWPNT2)& coll(D,D1,O)& perp(F,D,A,C)& coll(F,A,C)& perp(G,D,A,B)& coll(G,A,B)& perp(G1,D1,A,B)& coll(G1,A,B)& perp(F1,D1,A,C)& coll(F1,A,C) )=> perp(G1,F1,G,F) ) ))),
% 4.75/1.24 inference(negated_conjecture,[status(cth)],[f95])).
% 4.75/1.24 fof(f101,plain,(
% 4.75/1.24 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 4.75/1.24 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 4.75/1.24 fof(f102,plain,(
% 4.75/1.24 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 4.75/1.24 inference(miniscoping,[status(thm)],[f101])).
% 4.75/1.24 fof(f103,plain,(
% 4.75/1.24 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 4.75/1.24 inference(cnf_transformation,[status(thm)],[f102])).
% 4.75/1.24 fof(f104,plain,(
% 6.46/1.25 ![A,B,C,D]: (~para(A,B,C,D)|para(A,B,D,C))),
% 6.46/1.25 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 6.46/1.25 fof(f105,plain,(
% 6.46/1.25 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X0,X1,X3,X2))),
% 6.46/1.25 inference(cnf_transformation,[status(thm)],[f104])).
% 6.46/1.25 fof(f106,plain,(
% 6.46/1.25 ![A,B,C,D]: (~para(A,B,C,D)|para(C,D,A,B))),
% 6.46/1.25 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 6.46/1.25 fof(f107,plain,(
% 6.46/1.25 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X2,X3,X0,X1))),
% 6.46/1.25 inference(cnf_transformation,[status(thm)],[f106])).
% 6.46/1.25 fof(f111,plain,(
% 6.46/1.25 ![A,B,C,D]: (~perp(A,B,C,D)|perp(A,B,D,C))),
% 6.46/1.25 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 6.46/1.25 fof(f112,plain,(
% 6.46/1.25 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X0,X1,X3,X2))),
% 6.46/1.25 inference(cnf_transformation,[status(thm)],[f111])).
% 6.46/1.25 fof(f113,plain,(
% 6.46/1.25 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 6.46/1.25 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 6.46/1.25 fof(f114,plain,(
% 6.46/1.25 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 6.46/1.25 inference(cnf_transformation,[status(thm)],[f113])).
% 6.46/1.25 fof(f115,plain,(
% 6.46/1.25 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 6.46/1.25 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 6.46/1.25 fof(f116,plain,(
% 6.46/1.25 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 6.46/1.25 inference(miniscoping,[status(thm)],[f115])).
% 6.46/1.25 fof(f117,plain,(
% 6.46/1.25 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 6.46/1.25 inference(cnf_transformation,[status(thm)],[f116])).
% 6.46/1.25 fof(f118,plain,(
% 6.46/1.25 ![A,B,C,D,E,F]: ((~para(A,B,C,D)|~perp(C,D,E,F))|perp(A,B,E,F))),
% 6.46/1.25 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 6.46/1.25 fof(f119,plain,(
% 6.46/1.25 ![A,B,E,F]: ((![C,D]: (~para(A,B,C,D)|~perp(C,D,E,F)))|perp(A,B,E,F))),
% 6.46/1.25 inference(miniscoping,[status(thm)],[f118])).
% 6.46/1.25 fof(f120,plain,(
% 6.46/1.25 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|perp(X0,X1,X4,X5))),
% 6.46/1.25 inference(cnf_transformation,[status(thm)],[f119])).
% 6.46/1.25 fof(f128,plain,(
% 6.46/1.25 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,B,D,C))),
% 6.46/1.25 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 6.46/1.25 fof(f129,plain,(
% 6.46/1.25 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X1,X3,X2))),
% 6.46/1.25 inference(cnf_transformation,[status(thm)],[f128])).
% 6.46/1.25 fof(f130,plain,(
% 6.46/1.25 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,C,B,D))),
% 6.46/1.25 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 6.46/1.25 fof(f131,plain,(
% 6.46/1.25 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X2,X1,X3))),
% 6.46/1.25 inference(cnf_transformation,[status(thm)],[f130])).
% 6.46/1.25 fof(f132,plain,(
% 6.46/1.25 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(B,A,C,D))),
% 6.46/1.25 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 6.46/1.25 fof(f133,plain,(
% 6.46/1.25 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X1,X0,X2,X3))),
% 6.46/1.25 inference(cnf_transformation,[status(thm)],[f132])).
% 6.46/1.25 fof(f134,plain,(
% 6.46/1.25 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 6.46/1.25 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 6.46/1.25 fof(f135,plain,(
% 6.46/1.25 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 6.46/1.25 inference(miniscoping,[status(thm)],[f134])).
% 6.46/1.25 fof(f136,plain,(
% 6.46/1.25 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 6.46/1.25 inference(cnf_transformation,[status(thm)],[f135])).
% 6.46/1.25 fof(f139,plain,(
% 6.46/1.25 ![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))),
% 6.46/1.25 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 6.46/1.25 fof(f140,plain,(
% 6.46/1.25 ![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))),
% 6.46/1.25 inference(cnf_transformation,[status(thm)],[f139])).
% 6.46/1.25 fof(f143,plain,(
% 6.46/1.25 ![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))),
% 6.46/1.25 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 6.46/1.25 fof(f144,plain,(
% 6.46/1.25 ![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))),
% 6.46/1.25 inference(cnf_transformation,[status(thm)],[f143])).
% 6.46/1.25 fof(f184,plain,(
% 6.46/1.25 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 6.46/1.25 inference(pre_NNF_transformation,[status(thm)],[f39])).
% 6.46/1.25 fof(f185,plain,(
% 6.46/1.25 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 6.46/1.25 inference(miniscoping,[status(thm)],[f184])).
% 6.46/1.25 fof(f186,plain,(
% 6.46/1.25 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 6.46/1.25 inference(cnf_transformation,[status(thm)],[f185])).
% 6.46/1.25 fof(f187,plain,(
% 6.46/1.25 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 6.46/1.25 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 6.46/1.25 fof(f188,plain,(
% 6.46/1.25 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 6.46/1.25 inference(miniscoping,[status(thm)],[f187])).
% 6.46/1.25 fof(f189,plain,(
% 6.46/1.25 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 6.46/1.25 inference(cnf_transformation,[status(thm)],[f188])).
% 6.46/1.25 fof(f192,plain,(
% 6.46/1.25 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|coll(P,Q,A))|cyclic(A,B,P,Q))),
% 6.46/1.25 inference(pre_NNF_transformation,[status(thm)],[f42])).
% 6.46/1.25 fof(f193,plain,(
% 6.46/1.25 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|coll(X0,X3,X1)|cyclic(X1,X2,X0,X3))),
% 6.46/1.25 inference(cnf_transformation,[status(thm)],[f192])).
% 6.46/1.25 fof(f194,plain,(
% 6.46/1.25 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 6.46/1.25 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 6.46/1.25 fof(f195,plain,(
% 6.46/1.25 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 6.46/1.25 inference(cnf_transformation,[status(thm)],[f194])).
% 6.46/1.25 fof(f196,plain,(
% 6.46/1.25 ![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))),
% 6.46/1.25 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 6.46/1.25 fof(f197,plain,(
% 6.46/1.25 ![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))),
% 6.46/1.25 inference(miniscoping,[status(thm)],[f196])).
% 6.46/1.25 fof(f198,plain,(
% 6.46/1.25 ![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))),
% 6.46/1.25 inference(cnf_transformation,[status(thm)],[f197])).
% 6.46/1.25 fof(f231,plain,(
% 6.46/1.25 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 6.46/1.25 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 6.46/1.25 fof(f232,plain,(
% 6.46/1.25 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 6.46/1.25 inference(cnf_transformation,[status(thm)],[f231])).
% 6.46/1.25 fof(f369,plain,(
% 6.46/1.25 (?[A,B,C,O,D1,D,F,G,G1,F1,NWPNT1,NWPNT2]: ((((((((((((circle(O,A,B,C)&circle(O,A,D1,NWPNT1))&circle(O,D1,D,NWPNT2))&coll(D,D1,O))&perp(F,D,A,C))&coll(F,A,C))&perp(G,D,A,B))&coll(G,A,B))&perp(G1,D1,A,B))&coll(G1,A,B))&perp(F1,D1,A,C))&coll(F1,A,C))&~perp(G1,F1,G,F)))),
% 6.46/1.25 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 6.46/1.25 fof(f370,plain,(
% 6.46/1.25 ?[F,G,G1,F1]: ((?[A,C]: ((?[D1]: ((?[B]: ((((?[D]: ((((?[O]: (((circle(O,A,B,C)&(?[NWPNT1]: circle(O,A,D1,NWPNT1)))&(?[NWPNT2]: circle(O,D1,D,NWPNT2)))&coll(D,D1,O)))&perp(F,D,A,C))&coll(F,A,C))&perp(G,D,A,B)))&coll(G,A,B))&perp(G1,D1,A,B))&coll(G1,A,B)))&perp(F1,D1,A,C)))&coll(F1,A,C)))&~perp(G1,F1,G,F))),
% 6.46/1.25 inference(miniscoping,[status(thm)],[f369])).
% 6.46/1.25 fof(f371,plain,(
% 6.46/1.25 ((((((((((((circle(sK29_skl,sK24_skl,sK27_skl,sK25_skl)&circle(sK29_skl,sK24_skl,sK26_skl,sK30_skl))&circle(sK29_skl,sK26_skl,sK28_skl,sK31_skl))&coll(sK28_skl,sK26_skl,sK29_skl))&perp(sK20_skl,sK28_skl,sK24_skl,sK25_skl))&coll(sK20_skl,sK24_skl,sK25_skl))&perp(sK21_skl,sK28_skl,sK24_skl,sK27_skl))&coll(sK21_skl,sK24_skl,sK27_skl))&perp(sK22_skl,sK26_skl,sK24_skl,sK27_skl))&coll(sK22_skl,sK24_skl,sK27_skl))&perp(sK23_skl,sK26_skl,sK24_skl,sK25_skl))&coll(sK23_skl,sK24_skl,sK25_skl))&~perp(sK22_skl,sK23_skl,sK21_skl,sK20_skl))),
% 6.46/1.25 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(F,sK20_skl),skolemize(G,sK21_skl),skolemize(G1,sK22_skl),skolemize(F1,sK23_skl),skolemize(A,sK24_skl),skolemize(C,sK25_skl),skolemize(D1,sK26_skl),skolemize(B,sK27_skl),skolemize(D,sK28_skl),skolemize(O,sK29_skl),skolemize(NWPNT1,sK30_skl),skolemize(NWPNT2,sK31_skl)],[f370])).
% 6.46/1.25 fof(f378,plain,(
% 6.46/1.25 perp(sK21_skl,sK28_skl,sK24_skl,sK27_skl)),
% 6.46/1.25 inference(cnf_transformation,[status(thm)],[f371])).
% 6.46/1.25 fof(f384,plain,(
% 6.46/1.25 ~perp(sK22_skl,sK23_skl,sK21_skl,sK20_skl)),
% 6.46/1.25 inference(cnf_transformation,[status(thm)],[f371])).
% 6.46/1.25 fof(f476,plain,(
% 6.46/1.25 perp(sK21_skl,sK28_skl,sK27_skl,sK24_skl)),
% 6.46/1.25 inference(resolution,[status(thm)],[f378,f112])).
% 6.46/1.25 fof(f477,plain,(
% 6.46/1.25 perp(sK24_skl,sK27_skl,sK21_skl,sK28_skl)),
% 6.46/1.25 inference(resolution,[status(thm)],[f114,f378])).
% 6.46/1.25 fof(f537,plain,(
% 6.46/1.25 ![X0,X1]: (~perp(X0,X1,sK21_skl,sK28_skl)|para(X0,X1,sK27_skl,sK24_skl))),
% 6.46/1.25 inference(resolution,[status(thm)],[f476,f117])).
% 6.46/1.25 fof(f540,plain,(
% 6.46/1.25 para(sK24_skl,sK27_skl,sK27_skl,sK24_skl)),
% 6.46/1.25 inference(resolution,[status(thm)],[f477,f537])).
% 6.46/1.25 fof(f548,plain,(
% 6.46/1.25 para(sK27_skl,sK24_skl,sK24_skl,sK27_skl)),
% 6.46/1.25 inference(resolution,[status(thm)],[f540,f107])).
% 6.46/1.25 fof(f577,plain,(
% 6.46/1.25 para(sK27_skl,sK24_skl,sK27_skl,sK24_skl)),
% 6.46/1.25 inference(resolution,[status(thm)],[f548,f105])).
% 6.46/1.25 fof(f578,plain,(
% 6.46/1.25 ![X0,X1]: (eqangle(sK27_skl,sK24_skl,X0,X1,sK27_skl,sK24_skl,X0,X1))),
% 6.46/1.25 inference(resolution,[status(thm)],[f577,f189])).
% 6.46/1.25 fof(f598,plain,(
% 6.46/1.25 ![X0,X1]: (eqangle(X0,X1,sK27_skl,sK24_skl,X0,X1,sK27_skl,sK24_skl))),
% 6.46/1.25 inference(resolution,[status(thm)],[f140,f578])).
% 6.46/1.25 fof(f693,plain,(
% 6.46/1.25 ![X0,X1]: (para(X0,X1,X0,X1))),
% 6.46/1.25 inference(resolution,[status(thm)],[f598,f186])).
% 6.46/1.25 fof(f696,plain,(
% 6.46/1.25 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X3,X0,X1,X2,X3))),
% 6.46/1.25 inference(resolution,[status(thm)],[f693,f189])).
% 6.46/1.25 fof(f733,plain,(
% 6.46/1.25 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X1,X2,X3,X2,X3))),
% 6.46/1.25 inference(resolution,[status(thm)],[f144,f696])).
% 6.46/1.25 fof(f1602,plain,(
% 6.46/1.25 ![X0,X1,X2]: (coll(X0,X0,X1)|cyclic(X1,X2,X0,X0))),
% 6.46/1.25 inference(resolution,[status(thm)],[f193,f696])).
% 6.46/1.25 fof(f1610,plain,(
% 6.46/1.25 ![X0,X1,X2]: (coll(X0,X0,X1)|cyclic(X2,X1,X0,X0))),
% 6.46/1.25 inference(resolution,[status(thm)],[f1602,f133])).
% 6.46/1.25 fof(f1611,plain,(
% 6.46/1.25 ![X0,X1,X2]: (coll(X0,X0,X1)|cyclic(X1,X0,X2,X0))),
% 6.46/1.25 inference(resolution,[status(thm)],[f1602,f131])).
% 6.46/1.25 fof(f1626,plain,(
% 6.46/1.25 ![X0,X1,X2]: (coll(X0,X0,X1)|cyclic(X2,X0,X1,X0))),
% 6.46/1.25 inference(resolution,[status(thm)],[f1610,f131])).
% 6.46/1.25 fof(f1644,plain,(
% 6.46/1.25 ![X0,X1,X2]: (coll(X0,X0,X1)|cyclic(X1,X0,X0,X2))),
% 6.46/1.25 inference(resolution,[status(thm)],[f1611,f129])).
% 6.46/1.25 fof(f1662,plain,(
% 6.46/1.25 ![X0,X1,X2]: (coll(X0,X0,X1)|cyclic(X0,X2,X1,X0))),
% 6.46/1.25 inference(resolution,[status(thm)],[f1626,f133])).
% 6.46/1.25 fof(f1670,plain,(
% 6.46/1.25 ![X0,X1,X2,X3]: (coll(X0,X0,X1)|~cyclic(X1,X0,X0,X2)|cyclic(X0,X0,X2,X3))),
% 6.46/1.25 inference(resolution,[status(thm)],[f1644,f136])).
% 6.46/1.25 fof(f1675,plain,(
% 6.46/1.25 ![X0,X1,X2,X3]: (coll(X0,X0,X1)|cyclic(X0,X0,X2,X3))),
% 6.46/1.25 inference(forward_subsumption_resolution,[status(thm)],[f1670,f1644])).
% 6.46/1.25 fof(f1715,plain,(
% 6.46/1.25 ![X0,X1,X2,X3]: (coll(X0,X0,X1)|~cyclic(X0,X2,X1,X3)|cyclic(X2,X1,X3,X0))),
% 6.46/1.25 inference(resolution,[status(thm)],[f1662,f136])).
% 6.46/1.25 fof(f1732,plain,(
% 6.46/1.25 ![X0,X1,X2,X3,X4]: (cyclic(X0,X0,X1,X2)|~coll(X0,X0,X3)|coll(X3,X4,X0))),
% 6.46/1.25 inference(resolution,[status(thm)],[f1675,f103])).
% 6.46/1.25 fof(f1735,plain,(
% 6.46/1.25 ![X0,X1,X2,X3,X4]: (coll(X0,X0,X1)|~cyclic(X0,X0,X2,X3)|cyclic(X0,X2,X3,X4))),
% 6.46/1.25 inference(resolution,[status(thm)],[f1675,f136])).
% 6.46/1.25 fof(f1742,plain,(
% 6.46/1.25 ![X0,X1,X2,X3,X4]: (cyclic(X0,X0,X1,X2)|coll(X3,X4,X0))),
% 6.46/1.25 inference(forward_subsumption_resolution,[status(thm)],[f1732,f1675])).
% 6.46/1.25 fof(f1743,plain,(
% 6.46/1.25 ![X0,X1,X2,X3]: (coll(X0,X0,X1)|cyclic(X2,X1,X3,X0))),
% 6.46/1.25 inference(backward_subsumption_resolution,[status(thm)],[f1715,f1745])).
% 6.46/1.25 fof(f1745,plain,(
% 6.46/1.25 ![X0,X1,X2,X3,X4]: (coll(X0,X0,X1)|cyclic(X0,X2,X3,X4))),
% 6.46/1.25 inference(forward_subsumption_resolution,[status(thm)],[f1735,f1675])).
% 6.46/1.25 fof(f1756,plain,(
% 6.46/1.25 ![X0,X1,X2]: (~coll(X0,X1,X2)|cyclic(X2,X2,X0,X1))),
% 6.46/1.25 inference(resolution,[status(thm)],[f195,f733])).
% 6.46/1.25 fof(f1763,plain,(
% 6.46/1.25 ![X0,X1,X2]: (~coll(X0,X0,X1)|cyclic(X2,X1,X0,X0))),
% 6.46/1.25 inference(resolution,[status(thm)],[f195,f696])).
% 6.46/1.25 fof(f1764,plain,(
% 6.46/1.25 ![X0,X1,X2]: (cyclic(X0,X0,X1,X2))),
% 6.46/1.25 inference(forward_subsumption_resolution,[status(thm)],[f1756,f1742])).
% 6.46/1.25 fof(f1767,plain,(
% 6.46/1.25 ![X0,X1,X2]: (cyclic(X0,X1,X2,X2))),
% 6.46/1.25 inference(forward_subsumption_resolution,[status(thm)],[f1763,f1743])).
% 6.46/1.25 fof(f1807,plain,(
% 6.46/1.25 ![X0,X1,X2]: (~cyclic(X0,X1,X2,X0)|~cyclic(X0,X1,X2,X1)|~cyclic(X0,X1,X2,X2)|cong(X0,X1,X0,X1))),
% 6.46/1.25 inference(resolution,[status(thm)],[f198,f696])).
% 6.46/1.25 fof(f2186,plain,(
% 6.46/1.25 ![X0,X1,X2]: (~cyclic(X0,X1,X2,X0)|~cyclic(X0,X1,X2,X1)|cong(X0,X1,X0,X1))),
% 6.46/1.25 inference(forward_subsumption_resolution,[status(thm)],[f1807,f1767])).
% 6.46/1.25 fof(f2205,plain,(
% 6.46/1.25 ![X0,X1,X2,X3]: (~cyclic(X0,X0,X1,X2)|cyclic(X0,X1,X2,X3))),
% 6.46/1.26 inference(resolution,[status(thm)],[f1764,f136])).
% 6.46/1.26 fof(f2212,plain,(
% 6.46/1.26 ![X0,X1,X2]: (~cyclic(X0,X1,X2,X0)|cong(X0,X1,X0,X1))),
% 6.46/1.26 inference(backward_subsumption_resolution,[status(thm)],[f2186,f2220])).
% 6.46/1.26 fof(f2220,plain,(
% 6.46/1.26 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3))),
% 6.46/1.26 inference(forward_subsumption_resolution,[status(thm)],[f2205,f1764])).
% 6.46/1.26 fof(f2222,plain,(
% 6.46/1.26 ![X0,X1]: (cong(X0,X1,X0,X1))),
% 6.46/1.26 inference(forward_subsumption_resolution,[status(thm)],[f2212,f2220])).
% 6.46/1.26 fof(f2894,plain,(
% 6.46/1.26 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X0,X0,X1,X2))),
% 6.46/1.26 inference(resolution,[status(thm)],[f232,f2222])).
% 6.46/1.26 fof(f2895,plain,(
% 6.46/1.26 ![X0,X1,X2]: (perp(X0,X0,X1,X2))),
% 6.46/1.26 inference(forward_subsumption_resolution,[status(thm)],[f2894,f2222])).
% 6.46/1.26 fof(f3332,plain,(
% 6.46/1.26 ![X0,X1,X2,X3,X4]: (~para(X0,X1,X2,X2)|perp(X0,X1,X3,X4))),
% 6.46/1.26 inference(resolution,[status(thm)],[f2895,f120])).
% 6.46/1.26 fof(f3333,plain,(
% 6.46/1.26 ![X0,X1,X2,X3,X4]: (~perp(X0,X1,X2,X2)|para(X0,X1,X3,X4))),
% 6.46/1.26 inference(resolution,[status(thm)],[f2895,f117])).
% 6.46/1.26 fof(f3334,plain,(
% 6.46/1.26 ![X0,X1,X2]: (perp(X0,X1,X2,X2))),
% 6.46/1.26 inference(resolution,[status(thm)],[f2895,f114])).
% 6.46/1.26 fof(f3336,plain,(
% 6.46/1.26 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3))),
% 6.46/1.26 inference(backward_subsumption_resolution,[status(thm)],[f3333,f3334])).
% 6.46/1.26 fof(f3354,plain,(
% 6.46/1.26 ![X0,X1,X2,X3]: (perp(X0,X1,X2,X3))),
% 6.46/1.26 inference(backward_subsumption_resolution,[status(thm)],[f3332,f3336])).
% 6.46/1.26 fof(f3367,plain,(
% 6.46/1.26 $false),
% 6.46/1.26 inference(backward_subsumption_resolution,[status(thm)],[f384,f3354])).
% 6.46/1.26 % SZS output end CNFRefutation for theBenchmark.p
% 6.46/1.27 % Elapsed time: 0.898368 seconds
% 6.46/1.27 % CPU time: 6.805570 seconds
% 6.46/1.27 % Total memory used: 141.227 MB
% 6.46/1.27 % Net memory used: 135.215 MB
%------------------------------------------------------------------------------