%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO583+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 12:26:40 PM UTC 2026
% Result : Theorem 3.86s 1.01s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO583+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
% 0.08/0.35 % Computer : n010.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 17:41:25 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 3.86/1.01 % Refutation found
% 3.86/1.01 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.86/1.01 % SZS output start CNFRefutation for theBenchmark
% 3.86/1.01 fof(f4,axiom,(
% 3.86/1.01 (! [A,B,C,D] :( para(A,B,C,D)=> para(A,B,D,C) ) )),
% 3.86/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.86/1.01 fof(f8,axiom,(
% 3.86/1.01 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 3.86/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.86/1.01 fof(f9,axiom,(
% 3.86/1.01 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 3.86/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.86/1.01 fof(f10,axiom,(
% 3.86/1.01 (! [A,B,C,D,E,F] :( ( para(A,B,C,D)& perp(C,D,E,F) )=> perp(A,B,E,F) ) )),
% 3.86/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.86/1.01 fof(f11,axiom,(
% 3.86/1.01 (! [A,B,M] :( midp(M,B,A)=> midp(M,A,B) ) )),
% 3.86/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.86/1.01 fof(f17,axiom,(
% 3.86/1.01 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 3.86/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.86/1.01 fof(f18,axiom,(
% 3.86/1.01 (! [A,B,C,D,P,Q,U,V] :( eqangle(A,B,C,D,P,Q,U,V)=> eqangle(B,A,C,D,P,Q,U,V) ) )),
% 3.86/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.86/1.01 fof(f19,axiom,(
% 3.86/1.01 (! [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) ) )),
% 3.86/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.86/1.01 fof(f20,axiom,(
% 3.86/1.01 (! [A,B,C,D,P,Q,U,V] :( eqangle(A,B,C,D,P,Q,U,V)=> eqangle(P,Q,U,V,A,B,C,D) ) )),
% 3.86/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.86/1.01 fof(f21,axiom,(
% 3.86/1.01 (! [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) ) )),
% 3.86/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.86/1.01 fof(f39,axiom,(
% 3.86/1.01 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 3.86/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.86/1.01 fof(f40,axiom,(
% 3.86/1.01 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 3.86/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.86/1.01 fof(f41,axiom,(
% 3.86/1.01 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 3.86/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.86/1.01 fof(f42,axiom,(
% 3.86/1.01 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& ~ coll(P,Q,A) )=> cyclic(A,B,P,Q) ) )),
% 3.86/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.86/1.01 fof(f43,axiom,(
% 3.86/1.01 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 3.86/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.86/1.01 fof(f44,axiom,(
% 3.86/1.01 (! [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) ) )),
% 3.86/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.86/1.01 fof(f57,axiom,(
% 3.86/1.01 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 3.86/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.86/1.01 fof(f64,axiom,(
% 3.86/1.01 (! [A,B,C,D,M] :( ( midp(M,A,B)& midp(M,C,D) )=> para(A,C,B,D) ) )),
% 3.86/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.86/1.01 fof(f95,conjecture,(
% 3.86/1.01 (! [A,B,C,O,D,Q,S,J,M,I,NWPNT1] :( ( circle(O,A,B,C)& circle(O,A,D,NWPNT1)& midp(Q,C,B)& midp(S,A,D)& midp(J,S,Q)& coll(O,J,M)& cong(O,J,O,M)& coll(I,A,D)& coll(I,B,C) )=> perp(S,M,B,C) ) )),
% 3.86/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.86/1.01 fof(f96,negated_conjecture,(
% 3.86/1.01 ~((! [A,B,C,O,D,Q,S,J,M,I,NWPNT1] :( ( circle(O,A,B,C)& circle(O,A,D,NWPNT1)& midp(Q,C,B)& midp(S,A,D)& midp(J,S,Q)& coll(O,J,M)& cong(O,J,O,M)& coll(I,A,D)& coll(I,B,C) )=> perp(S,M,B,C) ) ))),
% 3.86/1.01 inference(negated_conjecture,[status(cth)],[f95])).
% 3.86/1.01 fof(f104,plain,(
% 3.86/1.01 ![A,B,C,D]: (~para(A,B,C,D)|para(A,B,D,C))),
% 3.86/1.01 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 3.86/1.01 fof(f105,plain,(
% 3.86/1.01 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X0,X1,X3,X2))),
% 3.86/1.01 inference(cnf_transformation,[status(thm)],[f104])).
% 3.86/1.01 fof(f113,plain,(
% 3.86/1.01 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 3.86/1.01 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 3.86/1.01 fof(f114,plain,(
% 3.86/1.01 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 3.86/1.01 inference(cnf_transformation,[status(thm)],[f113])).
% 3.86/1.01 fof(f115,plain,(
% 3.86/1.01 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 3.86/1.01 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 3.86/1.01 fof(f116,plain,(
% 3.86/1.01 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 3.86/1.01 inference(miniscoping,[status(thm)],[f115])).
% 3.86/1.01 fof(f117,plain,(
% 3.86/1.01 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 3.86/1.01 inference(cnf_transformation,[status(thm)],[f116])).
% 3.86/1.01 fof(f118,plain,(
% 3.86/1.01 ![A,B,C,D,E,F]: ((~para(A,B,C,D)|~perp(C,D,E,F))|perp(A,B,E,F))),
% 3.86/1.01 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 3.86/1.01 fof(f119,plain,(
% 3.86/1.01 ![A,B,E,F]: ((![C,D]: (~para(A,B,C,D)|~perp(C,D,E,F)))|perp(A,B,E,F))),
% 3.86/1.01 inference(miniscoping,[status(thm)],[f118])).
% 3.86/1.01 fof(f120,plain,(
% 3.86/1.01 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|perp(X0,X1,X4,X5))),
% 3.86/1.01 inference(cnf_transformation,[status(thm)],[f119])).
% 3.86/1.01 fof(f121,plain,(
% 3.86/1.01 ![A,B,M]: (~midp(M,B,A)|midp(M,A,B))),
% 3.86/1.01 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 3.86/1.01 fof(f122,plain,(
% 3.86/1.01 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X0,X2,X1))),
% 3.86/1.01 inference(cnf_transformation,[status(thm)],[f121])).
% 3.86/1.01 fof(f134,plain,(
% 3.86/1.01 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 3.86/1.01 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 3.86/1.01 fof(f135,plain,(
% 3.86/1.01 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 3.86/1.01 inference(miniscoping,[status(thm)],[f134])).
% 3.86/1.01 fof(f136,plain,(
% 3.86/1.01 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 3.86/1.01 inference(cnf_transformation,[status(thm)],[f135])).
% 3.86/1.01 fof(f137,plain,(
% 3.86/1.01 ![A,B,C,D,P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|eqangle(B,A,C,D,P,Q,U,V))),
% 3.86/1.01 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 3.86/1.01 fof(f138,plain,(
% 3.86/1.01 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|eqangle(X1,X0,X2,X3,X4,X5,X6,X7))),
% 3.86/1.01 inference(cnf_transformation,[status(thm)],[f137])).
% 3.86/1.01 fof(f139,plain,(
% 3.86/1.01 ![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))),
% 3.86/1.01 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 3.86/1.01 fof(f140,plain,(
% 3.86/1.01 ![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))),
% 3.86/1.01 inference(cnf_transformation,[status(thm)],[f139])).
% 3.86/1.01 fof(f141,plain,(
% 3.86/1.01 ![A,B,C,D,P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|eqangle(P,Q,U,V,A,B,C,D))),
% 3.86/1.01 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 3.86/1.01 fof(f142,plain,(
% 3.86/1.01 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|eqangle(X4,X5,X6,X7,X0,X1,X2,X3))),
% 3.86/1.01 inference(cnf_transformation,[status(thm)],[f141])).
% 3.86/1.01 fof(f143,plain,(
% 3.86/1.01 ![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))),
% 3.86/1.01 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 3.86/1.01 fof(f144,plain,(
% 3.86/1.01 ![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))),
% 3.86/1.01 inference(cnf_transformation,[status(thm)],[f143])).
% 3.86/1.01 fof(f184,plain,(
% 3.86/1.01 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 3.86/1.01 inference(pre_NNF_transformation,[status(thm)],[f39])).
% 3.86/1.01 fof(f185,plain,(
% 3.86/1.01 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 3.86/1.01 inference(miniscoping,[status(thm)],[f184])).
% 3.86/1.01 fof(f186,plain,(
% 3.86/1.01 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 3.86/1.01 inference(cnf_transformation,[status(thm)],[f185])).
% 3.86/1.01 fof(f187,plain,(
% 3.86/1.01 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 3.86/1.01 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 3.86/1.01 fof(f188,plain,(
% 3.86/1.01 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 3.86/1.01 inference(miniscoping,[status(thm)],[f187])).
% 3.86/1.01 fof(f189,plain,(
% 3.86/1.01 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 3.86/1.01 inference(cnf_transformation,[status(thm)],[f188])).
% 3.86/1.01 fof(f190,plain,(
% 3.86/1.01 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 3.86/1.01 inference(pre_NNF_transformation,[status(thm)],[f41])).
% 3.86/1.01 fof(f191,plain,(
% 3.86/1.01 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 3.86/1.01 inference(cnf_transformation,[status(thm)],[f190])).
% 3.86/1.01 fof(f192,plain,(
% 3.86/1.01 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|coll(P,Q,A))|cyclic(A,B,P,Q))),
% 3.86/1.01 inference(pre_NNF_transformation,[status(thm)],[f42])).
% 3.86/1.01 fof(f193,plain,(
% 3.86/1.01 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|coll(X0,X3,X1)|cyclic(X1,X2,X0,X3))),
% 3.86/1.01 inference(cnf_transformation,[status(thm)],[f192])).
% 3.86/1.01 fof(f194,plain,(
% 3.86/1.01 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 3.86/1.01 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 3.86/1.01 fof(f195,plain,(
% 3.86/1.01 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 3.86/1.01 inference(cnf_transformation,[status(thm)],[f194])).
% 3.86/1.01 fof(f196,plain,(
% 3.86/1.01 ![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))),
% 3.86/1.01 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 3.86/1.01 fof(f197,plain,(
% 3.86/1.01 ![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))),
% 3.86/1.01 inference(miniscoping,[status(thm)],[f196])).
% 3.86/1.01 fof(f198,plain,(
% 3.86/1.01 ![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))),
% 3.86/1.01 inference(cnf_transformation,[status(thm)],[f197])).
% 3.86/1.01 fof(f231,plain,(
% 3.86/1.01 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 3.86/1.01 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 3.86/1.01 fof(f232,plain,(
% 3.86/1.01 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 3.86/1.01 inference(cnf_transformation,[status(thm)],[f231])).
% 3.86/1.01 fof(f247,plain,(
% 3.86/1.01 ![A,B,C,D,M]: ((~midp(M,A,B)|~midp(M,C,D))|para(A,C,B,D))),
% 3.86/1.01 inference(pre_NNF_transformation,[status(thm)],[f64])).
% 3.86/1.01 fof(f248,plain,(
% 3.86/1.01 ![A,B,C,D]: ((![M]: (~midp(M,A,B)|~midp(M,C,D)))|para(A,C,B,D))),
% 3.86/1.01 inference(miniscoping,[status(thm)],[f247])).
% 3.86/1.01 fof(f249,plain,(
% 3.86/1.01 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~midp(X0,X3,X4)|para(X1,X3,X2,X4))),
% 3.86/1.01 inference(cnf_transformation,[status(thm)],[f248])).
% 3.86/1.01 fof(f369,plain,(
% 3.86/1.01 (?[A,B,C,O,D,Q,S,J,M,I,NWPNT1]: (((((((((circle(O,A,B,C)&circle(O,A,D,NWPNT1))&midp(Q,C,B))&midp(S,A,D))&midp(J,S,Q))&coll(O,J,M))&cong(O,J,O,M))&coll(I,A,D))&coll(I,B,C))&~perp(S,M,B,C)))),
% 3.86/1.01 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 3.86/1.01 fof(f370,plain,(
% 3.86/1.01 ?[B,C,S,M]: ((?[I]: ((?[A,D]: ((?[O,J]: (((?[Q]: ((((circle(O,A,B,C)&(?[NWPNT1]: circle(O,A,D,NWPNT1)))&midp(Q,C,B))&midp(S,A,D))&midp(J,S,Q)))&coll(O,J,M))&cong(O,J,O,M)))&coll(I,A,D)))&coll(I,B,C)))&~perp(S,M,B,C))),
% 3.86/1.01 inference(miniscoping,[status(thm)],[f369])).
% 3.86/1.01 fof(f371,plain,(
% 3.86/1.01 (((((((((circle(sK27_skl,sK25_skl,sK20_skl,sK21_skl)&circle(sK27_skl,sK25_skl,sK26_skl,sK30_skl))&midp(sK29_skl,sK21_skl,sK20_skl))&midp(sK22_skl,sK25_skl,sK26_skl))&midp(sK28_skl,sK22_skl,sK29_skl))&coll(sK27_skl,sK28_skl,sK23_skl))&cong(sK27_skl,sK28_skl,sK27_skl,sK23_skl))&coll(sK24_skl,sK25_skl,sK26_skl))&coll(sK24_skl,sK20_skl,sK21_skl))&~perp(sK22_skl,sK23_skl,sK20_skl,sK21_skl))),
% 3.86/1.01 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]),skolemize(B,sK20_skl),skolemize(C,sK21_skl),skolemize(S,sK22_skl),skolemize(M,sK23_skl),skolemize(I,sK24_skl),skolemize(A,sK25_skl),skolemize(D,sK26_skl),skolemize(O,sK27_skl),skolemize(J,sK28_skl),skolemize(Q,sK29_skl),skolemize(NWPNT1,sK30_skl)],[f370])).
% 3.86/1.01 fof(f376,plain,(
% 3.86/1.01 midp(sK28_skl,sK22_skl,sK29_skl)),
% 3.86/1.01 inference(cnf_transformation,[status(thm)],[f371])).
% 3.86/1.01 fof(f381,plain,(
% 3.86/1.01 ~perp(sK22_skl,sK23_skl,sK20_skl,sK21_skl)),
% 3.86/1.01 inference(cnf_transformation,[status(thm)],[f371])).
% 3.86/1.01 fof(f436,plain,(
% 3.86/1.01 midp(sK28_skl,sK29_skl,sK22_skl)),
% 3.86/1.01 inference(resolution,[status(thm)],[f122,f376])).
% 3.86/1.01 fof(f592,plain,(
% 3.86/1.01 ![X0,X1]: (~midp(sK28_skl,X0,X1)|para(X0,sK29_skl,X1,sK22_skl))),
% 3.86/1.01 inference(resolution,[status(thm)],[f249,f436])).
% 3.86/1.01 fof(f599,plain,(
% 3.86/1.01 para(sK22_skl,sK29_skl,sK29_skl,sK22_skl)),
% 3.86/1.01 inference(resolution,[status(thm)],[f592,f376])).
% 3.86/1.01 fof(f631,plain,(
% 3.86/1.01 para(sK22_skl,sK29_skl,sK22_skl,sK29_skl)),
% 3.86/1.01 inference(resolution,[status(thm)],[f599,f105])).
% 3.86/1.01 fof(f640,plain,(
% 3.86/1.01 ![X0,X1]: (eqangle(sK22_skl,sK29_skl,X0,X1,sK22_skl,sK29_skl,X0,X1))),
% 3.86/1.01 inference(resolution,[status(thm)],[f631,f189])).
% 3.86/1.01 fof(f841,plain,(
% 3.86/1.01 ![X0,X1]: (eqangle(X0,X1,sK22_skl,sK29_skl,X0,X1,sK22_skl,sK29_skl))),
% 3.86/1.01 inference(resolution,[status(thm)],[f640,f140])).
% 3.86/1.01 fof(f1350,plain,(
% 3.86/1.01 ![X0,X1]: (para(X0,X1,X0,X1))),
% 4.40/1.02 inference(resolution,[status(thm)],[f841,f186])).
% 4.40/1.02 fof(f1351,plain,(
% 4.40/1.02 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X3,X0,X1,X2,X3))),
% 4.40/1.02 inference(resolution,[status(thm)],[f1350,f189])).
% 4.40/1.02 fof(f1361,plain,(
% 4.40/1.02 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X1,X2,X3,X2,X3))),
% 4.40/1.02 inference(resolution,[status(thm)],[f1351,f144])).
% 4.40/1.02 fof(f1712,plain,(
% 4.40/1.02 ![X0,X1,X2]: (coll(X0,X1,X2)|cyclic(X2,X2,X0,X1))),
% 4.40/1.02 inference(resolution,[status(thm)],[f193,f1361])).
% 4.40/1.02 fof(f1720,plain,(
% 4.40/1.02 ![X0,X1,X2]: (~coll(X0,X1,X2)|cyclic(X2,X2,X0,X1))),
% 4.40/1.02 inference(resolution,[status(thm)],[f195,f1361])).
% 4.40/1.02 fof(f1728,plain,(
% 4.40/1.02 ![X0,X1,X2]: (cyclic(X0,X0,X1,X2))),
% 4.40/1.02 inference(forward_subsumption_resolution,[status(thm)],[f1720,f1712])).
% 4.40/1.02 fof(f1729,plain,(
% 4.40/1.02 ![X0,X1,X2,X3]: (~cyclic(X0,X0,X1,X2)|cyclic(X0,X1,X2,X3))),
% 4.40/1.02 inference(resolution,[status(thm)],[f1728,f136])).
% 4.40/1.02 fof(f1734,plain,(
% 4.40/1.02 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2))),
% 4.40/1.02 inference(backward_subsumption_resolution,[status(thm)],[f191,f1740])).
% 4.40/1.02 fof(f1739,plain,(
% 4.40/1.02 ![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))),
% 4.40/1.02 inference(backward_subsumption_resolution,[status(thm)],[f198,f1740])).
% 4.40/1.02 fof(f1740,plain,(
% 4.40/1.02 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3))),
% 4.40/1.02 inference(forward_subsumption_resolution,[status(thm)],[f1729,f1728])).
% 4.40/1.02 fof(f1741,plain,(
% 4.40/1.02 ![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))),
% 4.40/1.02 inference(forward_subsumption_resolution,[status(thm)],[f1739,f1740])).
% 4.40/1.02 fof(f1744,plain,(
% 4.40/1.02 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X1,X0,X3,X2,X3))),
% 4.40/1.02 inference(resolution,[status(thm)],[f1734,f144])).
% 4.40/1.02 fof(f1756,plain,(
% 4.40/1.02 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X0,X1,X3,X2,X3))),
% 4.40/1.02 inference(resolution,[status(thm)],[f1744,f138])).
% 4.40/1.02 fof(f1770,plain,(
% 4.40/1.02 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X1,X3,X0,X2,X3))),
% 4.40/1.02 inference(resolution,[status(thm)],[f1756,f142])).
% 4.40/1.02 fof(f1796,plain,(
% 4.40/1.02 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X1,X0,X3,X3,X2))),
% 4.40/1.02 inference(resolution,[status(thm)],[f1770,f140])).
% 4.40/1.02 fof(f1837,plain,(
% 4.40/1.02 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X0,X1,X3,X3,X2))),
% 4.40/1.02 inference(resolution,[status(thm)],[f1796,f138])).
% 4.40/1.02 fof(f2674,plain,(
% 4.40/1.02 ![X0,X1]: (~cyclic(X0,X1,X1,X1)|cong(X0,X1,X0,X1))),
% 4.40/1.02 inference(resolution,[status(thm)],[f1741,f1837])).
% 4.40/1.02 fof(f2844,plain,(
% 4.40/1.02 ![X0,X1]: (cong(X0,X1,X0,X1))),
% 4.40/1.02 inference(forward_subsumption_resolution,[status(thm)],[f2674,f1740])).
% 4.40/1.02 fof(f2915,plain,(
% 4.40/1.02 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X0,X0,X1,X2))),
% 4.40/1.02 inference(resolution,[status(thm)],[f2844,f232])).
% 4.40/1.02 fof(f2934,plain,(
% 4.40/1.02 ![X0,X1,X2]: (perp(X0,X0,X1,X2))),
% 4.40/1.02 inference(forward_subsumption_resolution,[status(thm)],[f2915,f2844])).
% 4.40/1.02 fof(f2948,plain,(
% 4.40/1.02 ![X0,X1,X2,X3,X4]: (~para(X0,X1,X2,X2)|perp(X0,X1,X3,X4))),
% 4.40/1.02 inference(resolution,[status(thm)],[f2934,f120])).
% 4.40/1.02 fof(f2949,plain,(
% 4.40/1.02 ![X0,X1,X2,X3,X4]: (~perp(X0,X1,X2,X2)|para(X0,X1,X3,X4))),
% 4.40/1.02 inference(resolution,[status(thm)],[f2934,f117])).
% 4.40/1.02 fof(f2950,plain,(
% 4.40/1.02 ![X0,X1,X2]: (perp(X0,X1,X2,X2))),
% 4.40/1.02 inference(resolution,[status(thm)],[f2934,f114])).
% 4.40/1.02 fof(f2952,plain,(
% 4.40/1.02 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3))),
% 4.40/1.02 inference(backward_subsumption_resolution,[status(thm)],[f2949,f2950])).
% 4.40/1.02 fof(f2958,plain,(
% 4.40/1.02 ![X0,X1,X2,X3]: (perp(X0,X1,X2,X3))),
% 4.40/1.02 inference(backward_subsumption_resolution,[status(thm)],[f2948,f2952])).
% 4.40/1.02 fof(f2968,plain,(
% 4.40/1.02 $false),
% 4.40/1.02 inference(backward_subsumption_resolution,[status(thm)],[f381,f2958])).
% 4.40/1.02 % SZS output end CNFRefutation for theBenchmark.p
% 4.40/1.04 % Elapsed time: 0.668625 seconds
% 4.40/1.04 % CPU time: 4.926272 seconds
% 4.40/1.04 % Total memory used: 132.676 MB
% 4.40/1.04 % Net memory used: 127.010 MB
%------------------------------------------------------------------------------