%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO642+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 : n010.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 1.10s 0.72s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO642+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
% 0.09/0.37 % Computer : n010.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 20 18:10:24 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 1.10/0.72 % Refutation found
% 1.10/0.72 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.10/0.72 % SZS output start CNFRefutation for theBenchmark
% 1.10/0.72 fof(f5,axiom,(
% 1.10/0.72 (! [A,B,C,D] :( para(A,B,C,D)=> para(C,D,A,B) ) )),
% 1.10/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.10/0.72 fof(f6,axiom,(
% 1.10/0.72 (! [A,B,C,D,E,F] :( ( para(A,B,C,D)& para(C,D,E,F) )=> para(A,B,E,F) ) )),
% 1.10/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.10/0.72 fof(f8,axiom,(
% 1.10/0.72 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 1.10/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.10/0.72 fof(f9,axiom,(
% 1.10/0.72 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 1.10/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.10/0.72 fof(f10,axiom,(
% 1.10/0.72 (! [A,B,C,D,E,F] :( ( para(A,B,C,D)& perp(C,D,E,F) )=> perp(A,B,E,F) ) )),
% 1.10/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.10/0.72 fof(f11,axiom,(
% 1.10/0.72 (! [A,B,M] :( midp(M,B,A)=> midp(M,A,B) ) )),
% 1.10/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.10/0.72 fof(f16,axiom,(
% 1.10/0.72 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(B,A,C,D) ) )),
% 1.10/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.10/0.72 fof(f17,axiom,(
% 1.10/0.72 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 1.10/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.10/0.72 fof(f19,axiom,(
% 1.10/0.72 (! [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) ) )),
% 1.10/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.10/0.72 fof(f21,axiom,(
% 1.10/0.72 (! [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) ) )),
% 1.10/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.10/0.72 fof(f39,axiom,(
% 1.10/0.72 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 1.10/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.10/0.72 fof(f40,axiom,(
% 1.10/0.72 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 1.10/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.10/0.72 fof(f42,axiom,(
% 1.10/0.72 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& ~ coll(P,Q,A) )=> cyclic(A,B,P,Q) ) )),
% 1.10/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.10/0.72 fof(f43,axiom,(
% 1.10/0.72 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 1.10/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.10/0.72 fof(f44,axiom,(
% 1.10/0.72 (! [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) ) )),
% 1.10/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.10/0.72 fof(f45,axiom,(
% 1.10/0.72 (! [A,B,C,E,F] :( ( midp(E,A,B)& midp(F,A,C) )=> para(E,F,B,C) ) )),
% 1.10/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.10/0.72 fof(f57,axiom,(
% 1.10/0.72 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 1.10/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.10/0.72 fof(f95,conjecture,(
% 1.10/0.72 (! [A,B,O,C,P,D,G,E,F,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,NWPNT6,NWPNT7,NWPNT8] :( ( midp(O,B,A)& circle(O,A,NWPNT1,NWPNT2)& circle(O,A,C,NWPNT3)& circle(O,A,P,NWPNT4)& circle(C,B,NWPNT5,NWPNT6)& circle(O,A,D,NWPNT7)& circle(C,B,D,NWPNT8)& coll(G,B,P)& coll(G,A,D)& coll(E,A,C)& coll(E,B,P)& coll(F,A,D)& coll(F,C,P) )=> perp(E,F,A,D) ) )),
% 1.10/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.10/0.72 fof(f96,negated_conjecture,(
% 1.10/0.72 ~((! [A,B,O,C,P,D,G,E,F,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,NWPNT6,NWPNT7,NWPNT8] :( ( midp(O,B,A)& circle(O,A,NWPNT1,NWPNT2)& circle(O,A,C,NWPNT3)& circle(O,A,P,NWPNT4)& circle(C,B,NWPNT5,NWPNT6)& circle(O,A,D,NWPNT7)& circle(C,B,D,NWPNT8)& coll(G,B,P)& coll(G,A,D)& coll(E,A,C)& coll(E,B,P)& coll(F,A,D)& coll(F,C,P) )=> perp(E,F,A,D) ) ))),
% 1.10/0.72 inference(negated_conjecture,[status(cth)],[f95])).
% 1.10/0.72 fof(f106,plain,(
% 1.10/0.72 ![A,B,C,D]: (~para(A,B,C,D)|para(C,D,A,B))),
% 1.10/0.72 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 1.10/0.72 fof(f107,plain,(
% 1.10/0.72 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X2,X3,X0,X1))),
% 1.10/0.72 inference(cnf_transformation,[status(thm)],[f106])).
% 1.10/0.72 fof(f108,plain,(
% 1.10/0.72 ![A,B,C,D,E,F]: ((~para(A,B,C,D)|~para(C,D,E,F))|para(A,B,E,F))),
% 1.10/0.72 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 1.10/0.72 fof(f109,plain,(
% 1.10/0.72 ![A,B,E,F]: ((![C,D]: (~para(A,B,C,D)|~para(C,D,E,F)))|para(A,B,E,F))),
% 1.10/0.72 inference(miniscoping,[status(thm)],[f108])).
% 1.10/0.72 fof(f110,plain,(
% 1.10/0.72 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|~para(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 1.10/0.72 inference(cnf_transformation,[status(thm)],[f109])).
% 1.10/0.72 fof(f113,plain,(
% 1.10/0.72 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 1.10/0.72 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 1.10/0.72 fof(f114,plain,(
% 1.10/0.72 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 1.10/0.72 inference(cnf_transformation,[status(thm)],[f113])).
% 1.10/0.72 fof(f115,plain,(
% 1.10/0.72 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 1.10/0.72 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 1.10/0.72 fof(f116,plain,(
% 1.10/0.72 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 1.10/0.72 inference(miniscoping,[status(thm)],[f115])).
% 1.10/0.72 fof(f117,plain,(
% 1.10/0.72 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 1.10/0.72 inference(cnf_transformation,[status(thm)],[f116])).
% 1.10/0.72 fof(f118,plain,(
% 1.10/0.72 ![A,B,C,D,E,F]: ((~para(A,B,C,D)|~perp(C,D,E,F))|perp(A,B,E,F))),
% 1.10/0.72 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 1.10/0.72 fof(f119,plain,(
% 1.10/0.72 ![A,B,E,F]: ((![C,D]: (~para(A,B,C,D)|~perp(C,D,E,F)))|perp(A,B,E,F))),
% 1.10/0.72 inference(miniscoping,[status(thm)],[f118])).
% 1.10/0.72 fof(f120,plain,(
% 1.10/0.72 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|perp(X0,X1,X4,X5))),
% 1.10/0.72 inference(cnf_transformation,[status(thm)],[f119])).
% 1.10/0.72 fof(f121,plain,(
% 1.10/0.72 ![A,B,M]: (~midp(M,B,A)|midp(M,A,B))),
% 1.10/0.72 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 1.10/0.72 fof(f122,plain,(
% 1.10/0.72 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X0,X2,X1))),
% 1.10/0.72 inference(cnf_transformation,[status(thm)],[f121])).
% 1.10/0.72 fof(f132,plain,(
% 1.10/0.72 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(B,A,C,D))),
% 1.10/0.72 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 1.10/0.72 fof(f133,plain,(
% 1.10/0.72 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X1,X0,X2,X3))),
% 1.10/0.72 inference(cnf_transformation,[status(thm)],[f132])).
% 1.10/0.72 fof(f134,plain,(
% 1.10/0.72 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 1.10/0.72 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 1.10/0.72 fof(f135,plain,(
% 1.10/0.72 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 1.10/0.72 inference(miniscoping,[status(thm)],[f134])).
% 1.10/0.72 fof(f136,plain,(
% 1.10/0.72 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 1.10/0.72 inference(cnf_transformation,[status(thm)],[f135])).
% 1.10/0.72 fof(f139,plain,(
% 1.10/0.72 ![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))),
% 1.10/0.72 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 1.10/0.72 fof(f140,plain,(
% 1.10/0.72 ![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))),
% 1.10/0.72 inference(cnf_transformation,[status(thm)],[f139])).
% 1.10/0.72 fof(f143,plain,(
% 1.10/0.72 ![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))),
% 1.10/0.72 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 1.10/0.72 fof(f144,plain,(
% 1.10/0.72 ![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))),
% 1.10/0.72 inference(cnf_transformation,[status(thm)],[f143])).
% 1.10/0.72 fof(f184,plain,(
% 1.10/0.72 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 1.10/0.72 inference(pre_NNF_transformation,[status(thm)],[f39])).
% 1.10/0.72 fof(f185,plain,(
% 1.10/0.72 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 1.10/0.72 inference(miniscoping,[status(thm)],[f184])).
% 1.10/0.72 fof(f186,plain,(
% 1.10/0.72 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 1.10/0.72 inference(cnf_transformation,[status(thm)],[f185])).
% 1.10/0.72 fof(f187,plain,(
% 1.10/0.72 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 1.10/0.72 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 1.10/0.72 fof(f188,plain,(
% 1.10/0.72 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 1.10/0.72 inference(miniscoping,[status(thm)],[f187])).
% 1.10/0.72 fof(f189,plain,(
% 1.10/0.72 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 1.10/0.72 inference(cnf_transformation,[status(thm)],[f188])).
% 1.10/0.72 fof(f192,plain,(
% 1.10/0.72 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|coll(P,Q,A))|cyclic(A,B,P,Q))),
% 1.10/0.72 inference(pre_NNF_transformation,[status(thm)],[f42])).
% 1.10/0.72 fof(f193,plain,(
% 1.10/0.72 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|coll(X0,X3,X1)|cyclic(X1,X2,X0,X3))),
% 1.10/0.72 inference(cnf_transformation,[status(thm)],[f192])).
% 1.10/0.72 fof(f194,plain,(
% 1.10/0.72 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 1.10/0.72 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 1.10/0.72 fof(f195,plain,(
% 1.10/0.72 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 1.10/0.72 inference(cnf_transformation,[status(thm)],[f194])).
% 1.10/0.72 fof(f196,plain,(
% 1.10/0.72 ![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))),
% 1.10/0.72 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 1.10/0.72 fof(f197,plain,(
% 1.10/0.72 ![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))),
% 1.10/0.72 inference(miniscoping,[status(thm)],[f196])).
% 1.10/0.72 fof(f198,plain,(
% 1.10/0.72 ![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))),
% 1.10/0.72 inference(cnf_transformation,[status(thm)],[f197])).
% 1.10/0.72 fof(f199,plain,(
% 1.10/0.72 ![A,B,C,E,F]: ((~midp(E,A,B)|~midp(F,A,C))|para(E,F,B,C))),
% 1.10/0.72 inference(pre_NNF_transformation,[status(thm)],[f45])).
% 1.10/0.72 fof(f200,plain,(
% 1.10/0.72 ![B,C,E,F]: ((![A]: (~midp(E,A,B)|~midp(F,A,C)))|para(E,F,B,C))),
% 1.10/0.72 inference(miniscoping,[status(thm)],[f199])).
% 1.10/0.72 fof(f201,plain,(
% 1.10/0.72 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~midp(X3,X1,X4)|para(X0,X3,X2,X4))),
% 1.10/0.72 inference(cnf_transformation,[status(thm)],[f200])).
% 1.10/0.72 fof(f231,plain,(
% 1.10/0.72 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 1.10/0.72 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 1.10/0.72 fof(f232,plain,(
% 1.10/0.72 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 1.10/0.72 inference(cnf_transformation,[status(thm)],[f231])).
% 1.10/0.72 fof(f369,plain,(
% 1.10/0.72 (?[A,B,O,C,P,D,G,E,F,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,NWPNT6,NWPNT7,NWPNT8]: (((((((((((((midp(O,B,A)&circle(O,A,NWPNT1,NWPNT2))&circle(O,A,C,NWPNT3))&circle(O,A,P,NWPNT4))&circle(C,B,NWPNT5,NWPNT6))&circle(O,A,D,NWPNT7))&circle(C,B,D,NWPNT8))&coll(G,B,P))&coll(G,A,D))&coll(E,A,C))&coll(E,B,P))&coll(F,A,D))&coll(F,C,P))&~perp(E,F,A,D)))),
% 1.10/0.72 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 1.10/0.72 fof(f370,plain,(
% 1.10/0.72 ?[A,D,E,F]: ((?[C,P]: (((?[B]: (((?[G]: ((((?[O]: (((((midp(O,B,A)&(?[NWPNT1,NWPNT2]: circle(O,A,NWPNT1,NWPNT2)))&(?[NWPNT3]: circle(O,A,C,NWPNT3)))&(?[NWPNT4]: circle(O,A,P,NWPNT4)))&(?[NWPNT5,NWPNT6]: circle(C,B,NWPNT5,NWPNT6)))&(?[NWPNT7]: circle(O,A,D,NWPNT7))))&(?[NWPNT8]: circle(C,B,D,NWPNT8)))&coll(G,B,P))&coll(G,A,D)))&coll(E,A,C))&coll(E,B,P)))&coll(F,A,D))&coll(F,C,P)))&~perp(E,F,A,D))),
% 1.10/0.72 inference(miniscoping,[status(thm)],[f369])).
% 1.10/0.72 fof(f371,plain,(
% 1.10/0.72 (((((((((((((midp(sK28_skl,sK26_skl,sK20_skl)&circle(sK28_skl,sK20_skl,sK29_skl,sK30_skl))&circle(sK28_skl,sK20_skl,sK24_skl,sK31_skl))&circle(sK28_skl,sK20_skl,sK25_skl,sK32_skl))&circle(sK24_skl,sK26_skl,sK33_skl,sK34_skl))&circle(sK28_skl,sK20_skl,sK21_skl,sK35_skl))&circle(sK24_skl,sK26_skl,sK21_skl,sK36_skl))&coll(sK27_skl,sK26_skl,sK25_skl))&coll(sK27_skl,sK20_skl,sK21_skl))&coll(sK22_skl,sK20_skl,sK24_skl))&coll(sK22_skl,sK26_skl,sK25_skl))&coll(sK23_skl,sK20_skl,sK21_skl))&coll(sK23_skl,sK24_skl,sK25_skl))&~perp(sK22_skl,sK23_skl,sK20_skl,sK21_skl))),
% 1.10/0.72 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,sK32_skl,sK33_skl,sK34_skl,sK35_skl,sK36_skl]),skolemize(A,sK20_skl),skolemize(D,sK21_skl),skolemize(E,sK22_skl),skolemize(F,sK23_skl),skolemize(C,sK24_skl),skolemize(P,sK25_skl),skolemize(B,sK26_skl),skolemize(G,sK27_skl),skolemize(O,sK28_skl),skolemize(NWPNT1,sK29_skl),skolemize(NWPNT2,sK30_skl),skolemize(NWPNT3,sK31_skl),skolemize(NWPNT4,sK32_skl),skolemize(NWPNT5,sK33_skl),skolemize(NWPNT6,sK34_skl),skolemize(NWPNT7,sK35_skl),skolemize(NWPNT8,sK36_skl)],[f370])).
% 1.10/0.72 fof(f372,plain,(
% 1.10/0.72 midp(sK28_skl,sK26_skl,sK20_skl)),
% 1.10/0.72 inference(cnf_transformation,[status(thm)],[f371])).
% 1.10/0.72 fof(f385,plain,(
% 1.10/0.72 ~perp(sK22_skl,sK23_skl,sK20_skl,sK21_skl)),
% 1.10/0.72 inference(cnf_transformation,[status(thm)],[f371])).
% 1.10/0.72 fof(f494,plain,(
% 1.10/0.72 midp(sK28_skl,sK20_skl,sK26_skl)),
% 1.10/0.72 inference(resolution,[status(thm)],[f122,f372])).
% 1.10/0.72 fof(f626,plain,(
% 1.10/0.72 ![X0,X1]: (~midp(X0,sK20_skl,X1)|para(X0,sK28_skl,X1,sK26_skl))),
% 1.10/0.72 inference(resolution,[status(thm)],[f201,f494])).
% 1.10/0.72 fof(f628,plain,(
% 1.10/0.72 para(sK28_skl,sK28_skl,sK26_skl,sK26_skl)),
% 1.10/0.72 inference(resolution,[status(thm)],[f626,f494])).
% 1.10/0.72 fof(f630,plain,(
% 1.10/0.72 ![X0,X1]: (~para(X0,X1,sK28_skl,sK28_skl)|para(X0,X1,sK26_skl,sK26_skl))),
% 1.10/0.72 inference(resolution,[status(thm)],[f628,f110])).
% 1.10/0.72 fof(f631,plain,(
% 1.10/0.72 para(sK26_skl,sK26_skl,sK28_skl,sK28_skl)),
% 1.10/0.72 inference(resolution,[status(thm)],[f628,f107])).
% 1.10/0.72 fof(f704,plain,(
% 1.10/0.72 para(sK26_skl,sK26_skl,sK26_skl,sK26_skl)),
% 1.10/0.72 inference(resolution,[status(thm)],[f630,f631])).
% 1.10/0.72 fof(f713,plain,(
% 1.10/0.72 ![X0,X1]: (eqangle(sK26_skl,sK26_skl,X0,X1,sK26_skl,sK26_skl,X0,X1))),
% 1.10/0.72 inference(resolution,[status(thm)],[f704,f189])).
% 1.10/0.72 fof(f725,plain,(
% 1.10/0.72 ![X0,X1]: (eqangle(X0,X1,sK26_skl,sK26_skl,X0,X1,sK26_skl,sK26_skl))),
% 1.10/0.72 inference(resolution,[status(thm)],[f713,f140])).
% 1.10/0.72 fof(f737,plain,(
% 1.10/0.72 ![X0,X1]: (para(X0,X1,X0,X1))),
% 1.10/0.72 inference(resolution,[status(thm)],[f725,f186])).
% 1.10/0.72 fof(f740,plain,(
% 1.10/0.72 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X3,X0,X1,X2,X3))),
% 1.10/0.72 inference(resolution,[status(thm)],[f737,f189])).
% 1.10/0.72 fof(f814,plain,(
% 1.10/0.72 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X1,X2,X3,X2,X3))),
% 1.10/0.72 inference(resolution,[status(thm)],[f144,f740])).
% 1.10/0.72 fof(f1662,plain,(
% 1.10/0.72 ![X0,X1,X2]: (coll(X0,X1,X2)|cyclic(X2,X2,X0,X1))),
% 1.10/0.72 inference(resolution,[status(thm)],[f193,f814])).
% 1.10/0.72 fof(f1669,plain,(
% 1.10/0.72 ![X0,X1,X2]: (coll(X0,X0,X1)|cyclic(X1,X2,X0,X0))),
% 1.10/0.72 inference(resolution,[status(thm)],[f193,f740])).
% 1.10/0.72 fof(f1737,plain,(
% 1.10/0.72 ![X0,X1,X2]: (coll(X0,X0,X1)|cyclic(X2,X1,X0,X0))),
% 1.10/0.72 inference(resolution,[status(thm)],[f1669,f133])).
% 1.10/0.72 fof(f1891,plain,(
% 1.10/0.72 ![X0,X1,X2]: (~coll(X0,X1,X2)|cyclic(X2,X2,X0,X1))),
% 1.10/0.72 inference(resolution,[status(thm)],[f195,f814])).
% 1.10/0.72 fof(f1898,plain,(
% 1.10/0.72 ![X0,X1,X2]: (~coll(X0,X0,X1)|cyclic(X2,X1,X0,X0))),
% 1.10/0.72 inference(resolution,[status(thm)],[f195,f740])).
% 1.10/0.72 fof(f1908,plain,(
% 1.10/0.72 ![X0,X1,X2]: (cyclic(X0,X0,X1,X2))),
% 1.10/0.72 inference(forward_subsumption_resolution,[status(thm)],[f1891,f1662])).
% 1.10/0.72 fof(f1911,plain,(
% 1.10/0.72 ![X0,X1,X2]: (cyclic(X0,X1,X2,X2))),
% 1.10/0.72 inference(forward_subsumption_resolution,[status(thm)],[f1898,f1737])).
% 1.10/0.72 fof(f1935,plain,(
% 1.10/0.72 ![X0,X1,X2]: (~cyclic(X0,X1,X2,X0)|~cyclic(X0,X1,X2,X1)|~cyclic(X0,X1,X2,X2)|cong(X0,X1,X0,X1))),
% 1.10/0.72 inference(resolution,[status(thm)],[f198,f740])).
% 1.10/0.72 fof(f2040,plain,(
% 1.10/0.72 ![X0,X1,X2]: (~cyclic(X0,X1,X2,X0)|~cyclic(X0,X1,X2,X1)|cong(X0,X1,X0,X1))),
% 1.10/0.72 inference(forward_subsumption_resolution,[status(thm)],[f1935,f1911])).
% 1.10/0.72 fof(f2061,plain,(
% 1.10/0.72 ![X0,X1,X2,X3]: (~cyclic(X0,X0,X1,X2)|cyclic(X0,X1,X2,X3))),
% 1.10/0.72 inference(resolution,[status(thm)],[f1908,f136])).
% 1.10/0.72 fof(f2068,plain,(
% 1.10/0.72 ![X0,X1,X2]: (~cyclic(X0,X1,X2,X0)|cong(X0,X1,X0,X1))),
% 1.10/0.72 inference(backward_subsumption_resolution,[status(thm)],[f2040,f2076])).
% 1.10/0.72 fof(f2076,plain,(
% 1.10/0.72 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3))),
% 1.10/0.72 inference(forward_subsumption_resolution,[status(thm)],[f2061,f1908])).
% 1.10/0.72 fof(f2082,plain,(
% 1.10/0.72 ![X0,X1]: (cong(X0,X1,X0,X1))),
% 1.10/0.72 inference(forward_subsumption_resolution,[status(thm)],[f2068,f2076])).
% 1.10/0.72 fof(f2093,plain,(
% 1.10/0.72 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X0,X0,X1,X2))),
% 1.10/0.72 inference(resolution,[status(thm)],[f2082,f232])).
% 1.10/0.72 fof(f2098,plain,(
% 1.10/0.72 ![X0,X1,X2]: (perp(X0,X0,X1,X2))),
% 1.10/0.72 inference(forward_subsumption_resolution,[status(thm)],[f2093,f2082])).
% 1.10/0.72 fof(f2109,plain,(
% 1.10/0.72 ![X0,X1,X2,X3,X4]: (~para(X0,X1,X2,X2)|perp(X0,X1,X3,X4))),
% 1.10/0.72 inference(resolution,[status(thm)],[f2098,f120])).
% 1.10/0.72 fof(f2110,plain,(
% 1.10/0.72 ![X0,X1,X2,X3,X4]: (~perp(X0,X1,X2,X2)|para(X0,X1,X3,X4))),
% 1.10/0.72 inference(resolution,[status(thm)],[f2098,f117])).
% 1.10/0.72 fof(f2111,plain,(
% 1.10/0.72 ![X0,X1,X2]: (perp(X0,X1,X2,X2))),
% 1.10/0.72 inference(resolution,[status(thm)],[f2098,f114])).
% 1.10/0.72 fof(f2113,plain,(
% 1.10/0.72 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3))),
% 1.10/0.72 inference(backward_subsumption_resolution,[status(thm)],[f2110,f2111])).
% 1.10/0.72 fof(f2119,plain,(
% 1.10/0.72 ![X0,X1,X2,X3]: (perp(X0,X1,X2,X3))),
% 1.10/0.72 inference(backward_subsumption_resolution,[status(thm)],[f2109,f2113])).
% 1.10/0.72 fof(f2130,plain,(
% 1.10/0.72 $false),
% 1.10/0.72 inference(backward_subsumption_resolution,[status(thm)],[f385,f2119])).
% 1.10/0.72 % SZS output end CNFRefutation for theBenchmark.p
% 1.10/0.74 % Elapsed time: 0.368333 seconds
% 1.10/0.74 % CPU time: 2.567431 seconds
% 1.10/0.74 % Total memory used: 110.582 MB
% 1.10/0.74 % Net memory used: 108.115 MB
%------------------------------------------------------------------------------