%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO632+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 : n008.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 7.22s 1.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO632+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
% 0.10/0.38 % Computer : n008.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 20 18:06:53 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.40 % Drodi V4.1.1
% 7.22/1.38 % Refutation found
% 7.22/1.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 7.22/1.38 % SZS output start CNFRefutation for theBenchmark
% 7.22/1.38 fof(f4,axiom,(
% 7.22/1.38 (! [A,B,C,D] :( para(A,B,C,D)=> para(A,B,D,C) ) )),
% 7.22/1.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.22/1.38 fof(f5,axiom,(
% 7.22/1.38 (! [A,B,C,D] :( para(A,B,C,D)=> para(C,D,A,B) ) )),
% 7.22/1.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.22/1.38 fof(f6,axiom,(
% 7.22/1.38 (! [A,B,C,D,E,F] :( ( para(A,B,C,D)& para(C,D,E,F) )=> para(A,B,E,F) ) )),
% 7.22/1.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.22/1.38 fof(f8,axiom,(
% 7.22/1.38 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 7.22/1.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.22/1.38 fof(f9,axiom,(
% 7.22/1.38 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 7.22/1.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.22/1.38 fof(f11,axiom,(
% 7.22/1.38 (! [A,B,M] :( midp(M,B,A)=> midp(M,A,B) ) )),
% 7.22/1.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.22/1.38 fof(f18,axiom,(
% 7.22/1.38 (! [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) ) )),
% 7.22/1.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.22/1.38 fof(f19,axiom,(
% 7.22/1.38 (! [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) ) )),
% 7.22/1.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.22/1.38 fof(f25,axiom,(
% 7.22/1.38 (! [A,B,C,D,E,F] :( ( cong(A,B,C,D)& cong(C,D,E,F) )=> cong(A,B,E,F) ) )),
% 7.22/1.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.22/1.38 fof(f39,axiom,(
% 7.22/1.38 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 7.22/1.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.22/1.38 fof(f40,axiom,(
% 7.22/1.38 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 7.22/1.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.22/1.38 fof(f45,axiom,(
% 7.22/1.38 (! [A,B,C,E,F] :( ( midp(E,A,B)& midp(F,A,C) )=> para(E,F,B,C) ) )),
% 7.22/1.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.22/1.38 fof(f57,axiom,(
% 7.22/1.38 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 7.22/1.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.22/1.38 fof(f64,axiom,(
% 7.22/1.38 (! [A,B,C,D,M] :( ( midp(M,A,B)& midp(M,C,D) )=> para(A,C,B,D) ) )),
% 7.22/1.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.22/1.38 fof(f65,axiom,(
% 7.22/1.38 (! [A,B,C,D,M] :( ( midp(M,A,B)& para(A,C,B,D)& para(A,D,B,C) )=> midp(M,C,D) ) )),
% 7.22/1.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.22/1.38 fof(f67,axiom,(
% 7.22/1.38 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 7.22/1.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.22/1.38 fof(f68,axiom,(
% 7.22/1.38 (! [A,B,C] :( ( cong(A,B,A,C)& coll(A,B,C) )=> midp(A,B,C) ) )),
% 7.22/1.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.22/1.38 fof(f69,axiom,(
% 7.22/1.38 (! [A,B,C] :( midp(A,B,C)=> cong(A,B,A,C) ) )),
% 7.22/1.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.22/1.38 fof(f70,axiom,(
% 7.22/1.38 (! [A,B,C] :( midp(A,B,C)=> coll(A,B,C) ) )),
% 7.22/1.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.22/1.38 fof(f95,conjecture,(
% 7.22/1.38 (! [A,B,C,A1,S,F,P,Q,NWPNT1,NWPNT2] :( ( midp(A1,C,B)& eqangle(S,A,A,B,C,A,A,A1)& coll(S,B,C)& circle(F,A,B,C)& circle(F,A,P,NWPNT1)& coll(P,A,A1)& circle(F,A,Q,NWPNT2)& coll(Q,A,S) )=> para(B,C,P,Q) ) )),
% 7.22/1.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.22/1.38 fof(f96,negated_conjecture,(
% 7.22/1.38 ~((! [A,B,C,A1,S,F,P,Q,NWPNT1,NWPNT2] :( ( midp(A1,C,B)& eqangle(S,A,A,B,C,A,A,A1)& coll(S,B,C)& circle(F,A,B,C)& circle(F,A,P,NWPNT1)& coll(P,A,A1)& circle(F,A,Q,NWPNT2)& coll(Q,A,S) )=> para(B,C,P,Q) ) ))),
% 7.22/1.38 inference(negated_conjecture,[status(cth)],[f95])).
% 7.22/1.38 fof(f104,plain,(
% 7.22/1.38 ![A,B,C,D]: (~para(A,B,C,D)|para(A,B,D,C))),
% 7.22/1.38 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 7.22/1.38 fof(f105,plain,(
% 7.22/1.38 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X0,X1,X3,X2))),
% 7.22/1.38 inference(cnf_transformation,[status(thm)],[f104])).
% 7.22/1.38 fof(f106,plain,(
% 7.22/1.38 ![A,B,C,D]: (~para(A,B,C,D)|para(C,D,A,B))),
% 7.22/1.38 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 7.22/1.38 fof(f107,plain,(
% 7.22/1.38 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X2,X3,X0,X1))),
% 7.22/1.38 inference(cnf_transformation,[status(thm)],[f106])).
% 7.22/1.38 fof(f108,plain,(
% 7.22/1.38 ![A,B,C,D,E,F]: ((~para(A,B,C,D)|~para(C,D,E,F))|para(A,B,E,F))),
% 7.22/1.38 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 7.22/1.38 fof(f109,plain,(
% 7.22/1.38 ![A,B,E,F]: ((![C,D]: (~para(A,B,C,D)|~para(C,D,E,F)))|para(A,B,E,F))),
% 7.22/1.38 inference(miniscoping,[status(thm)],[f108])).
% 7.22/1.38 fof(f110,plain,(
% 7.22/1.38 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|~para(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 7.22/1.38 inference(cnf_transformation,[status(thm)],[f109])).
% 7.22/1.38 fof(f113,plain,(
% 7.22/1.38 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 7.22/1.38 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 7.22/1.38 fof(f114,plain,(
% 7.22/1.38 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 7.22/1.38 inference(cnf_transformation,[status(thm)],[f113])).
% 7.22/1.38 fof(f115,plain,(
% 7.22/1.38 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 7.22/1.38 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 7.22/1.38 fof(f116,plain,(
% 7.22/1.38 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 7.22/1.38 inference(miniscoping,[status(thm)],[f115])).
% 7.22/1.38 fof(f117,plain,(
% 7.22/1.38 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 7.22/1.38 inference(cnf_transformation,[status(thm)],[f116])).
% 7.22/1.38 fof(f121,plain,(
% 7.22/1.38 ![A,B,M]: (~midp(M,B,A)|midp(M,A,B))),
% 7.22/1.38 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 7.22/1.38 fof(f122,plain,(
% 7.22/1.38 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X0,X2,X1))),
% 7.22/1.38 inference(cnf_transformation,[status(thm)],[f121])).
% 7.22/1.38 fof(f137,plain,(
% 7.22/1.38 ![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))),
% 7.22/1.38 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 7.22/1.38 fof(f138,plain,(
% 7.22/1.38 ![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))),
% 7.22/1.38 inference(cnf_transformation,[status(thm)],[f137])).
% 7.22/1.38 fof(f139,plain,(
% 7.22/1.38 ![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))),
% 7.22/1.38 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 7.22/1.38 fof(f140,plain,(
% 7.22/1.38 ![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))),
% 7.22/1.38 inference(cnf_transformation,[status(thm)],[f139])).
% 7.22/1.38 fof(f152,plain,(
% 7.22/1.38 ![A,B,C,D,E,F]: ((~cong(A,B,C,D)|~cong(C,D,E,F))|cong(A,B,E,F))),
% 7.22/1.38 inference(pre_NNF_transformation,[status(thm)],[f25])).
% 7.22/1.38 fof(f153,plain,(
% 7.22/1.38 ![A,B,E,F]: ((![C,D]: (~cong(A,B,C,D)|~cong(C,D,E,F)))|cong(A,B,E,F))),
% 7.22/1.38 inference(miniscoping,[status(thm)],[f152])).
% 7.22/1.38 fof(f154,plain,(
% 7.22/1.38 ![X0,X1,X2,X3,X4,X5]: (~cong(X0,X1,X2,X3)|~cong(X2,X3,X4,X5)|cong(X0,X1,X4,X5))),
% 7.22/1.38 inference(cnf_transformation,[status(thm)],[f153])).
% 7.22/1.38 fof(f184,plain,(
% 7.22/1.38 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 7.22/1.38 inference(pre_NNF_transformation,[status(thm)],[f39])).
% 7.22/1.38 fof(f185,plain,(
% 7.22/1.38 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 7.22/1.38 inference(miniscoping,[status(thm)],[f184])).
% 7.22/1.38 fof(f186,plain,(
% 7.22/1.38 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 7.22/1.38 inference(cnf_transformation,[status(thm)],[f185])).
% 7.22/1.38 fof(f187,plain,(
% 7.22/1.38 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 7.22/1.38 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 7.22/1.38 fof(f188,plain,(
% 7.22/1.38 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 7.22/1.38 inference(miniscoping,[status(thm)],[f187])).
% 7.22/1.38 fof(f189,plain,(
% 7.22/1.38 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 7.22/1.38 inference(cnf_transformation,[status(thm)],[f188])).
% 7.22/1.38 fof(f199,plain,(
% 7.22/1.38 ![A,B,C,E,F]: ((~midp(E,A,B)|~midp(F,A,C))|para(E,F,B,C))),
% 7.22/1.38 inference(pre_NNF_transformation,[status(thm)],[f45])).
% 7.22/1.38 fof(f200,plain,(
% 7.22/1.38 ![B,C,E,F]: ((![A]: (~midp(E,A,B)|~midp(F,A,C)))|para(E,F,B,C))),
% 7.22/1.38 inference(miniscoping,[status(thm)],[f199])).
% 7.22/1.38 fof(f201,plain,(
% 7.22/1.38 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~midp(X3,X1,X4)|para(X0,X3,X2,X4))),
% 7.22/1.38 inference(cnf_transformation,[status(thm)],[f200])).
% 7.22/1.38 fof(f231,plain,(
% 7.22/1.38 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 7.22/1.38 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 7.22/1.38 fof(f232,plain,(
% 7.22/1.38 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 7.22/1.38 inference(cnf_transformation,[status(thm)],[f231])).
% 7.22/1.38 fof(f247,plain,(
% 7.22/1.38 ![A,B,C,D,M]: ((~midp(M,A,B)|~midp(M,C,D))|para(A,C,B,D))),
% 7.22/1.38 inference(pre_NNF_transformation,[status(thm)],[f64])).
% 7.22/1.38 fof(f248,plain,(
% 7.22/1.38 ![A,B,C,D]: ((![M]: (~midp(M,A,B)|~midp(M,C,D)))|para(A,C,B,D))),
% 7.22/1.38 inference(miniscoping,[status(thm)],[f247])).
% 7.22/1.38 fof(f249,plain,(
% 7.22/1.38 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~midp(X0,X3,X4)|para(X1,X3,X2,X4))),
% 7.22/1.38 inference(cnf_transformation,[status(thm)],[f248])).
% 7.22/1.38 fof(f250,plain,(
% 7.22/1.38 ![A,B,C,D,M]: (((~midp(M,A,B)|~para(A,C,B,D))|~para(A,D,B,C))|midp(M,C,D))),
% 7.22/1.38 inference(pre_NNF_transformation,[status(thm)],[f65])).
% 7.22/1.38 fof(f251,plain,(
% 7.22/1.38 ![C,D,M]: ((![A,B]: ((~midp(M,A,B)|~para(A,C,B,D))|~para(A,D,B,C)))|midp(M,C,D))),
% 7.22/1.38 inference(miniscoping,[status(thm)],[f250])).
% 7.22/1.38 fof(f252,plain,(
% 7.22/1.38 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X1,X3,X2,X4)|~para(X1,X4,X2,X3)|midp(X0,X3,X4))),
% 7.22/1.38 inference(cnf_transformation,[status(thm)],[f251])).
% 7.22/1.38 fof(f255,plain,(
% 7.22/1.38 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 7.22/1.38 inference(pre_NNF_transformation,[status(thm)],[f67])).
% 7.22/1.38 fof(f256,plain,(
% 7.22/1.38 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 7.22/1.38 inference(cnf_transformation,[status(thm)],[f255])).
% 7.22/1.38 fof(f257,plain,(
% 7.22/1.38 ![A,B,C]: ((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))),
% 7.22/1.38 inference(pre_NNF_transformation,[status(thm)],[f68])).
% 7.22/1.38 fof(f258,plain,(
% 7.22/1.38 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|~coll(X0,X1,X2)|midp(X0,X1,X2))),
% 7.22/1.38 inference(cnf_transformation,[status(thm)],[f257])).
% 7.22/1.38 fof(f259,plain,(
% 7.22/1.38 ![A,B,C]: (~midp(A,B,C)|cong(A,B,A,C))),
% 7.22/1.38 inference(pre_NNF_transformation,[status(thm)],[f69])).
% 7.22/1.38 fof(f260,plain,(
% 7.22/1.38 ![X0,X1,X2]: (~midp(X0,X1,X2)|cong(X0,X1,X0,X2))),
% 7.22/1.38 inference(cnf_transformation,[status(thm)],[f259])).
% 7.22/1.38 fof(f261,plain,(
% 7.22/1.38 ![A,B,C]: (~midp(A,B,C)|coll(A,B,C))),
% 7.22/1.38 inference(pre_NNF_transformation,[status(thm)],[f70])).
% 7.22/1.38 fof(f262,plain,(
% 7.22/1.38 ![X0,X1,X2]: (~midp(X0,X1,X2)|coll(X0,X1,X2))),
% 7.22/1.38 inference(cnf_transformation,[status(thm)],[f261])).
% 7.22/1.38 fof(f369,plain,(
% 7.22/1.38 (?[A,B,C,A1,S,F,P,Q,NWPNT1,NWPNT2]: ((((((((midp(A1,C,B)&eqangle(S,A,A,B,C,A,A,A1))&coll(S,B,C))&circle(F,A,B,C))&circle(F,A,P,NWPNT1))&coll(P,A,A1))&circle(F,A,Q,NWPNT2))&coll(Q,A,S))&~para(B,C,P,Q)))),
% 7.22/1.38 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 7.22/1.38 fof(f370,plain,(
% 7.22/1.38 ?[B,C,P,Q]: ((?[A,S]: ((?[F]: ((?[A1]: (((((midp(A1,C,B)&eqangle(S,A,A,B,C,A,A,A1))&coll(S,B,C))&circle(F,A,B,C))&(?[NWPNT1]: circle(F,A,P,NWPNT1)))&coll(P,A,A1)))&(?[NWPNT2]: circle(F,A,Q,NWPNT2))))&coll(Q,A,S)))&~para(B,C,P,Q))),
% 7.22/1.38 inference(miniscoping,[status(thm)],[f369])).
% 7.22/1.38 fof(f371,plain,(
% 7.22/1.38 ((((((((midp(sK27_skl,sK21_skl,sK20_skl)&eqangle(sK25_skl,sK24_skl,sK24_skl,sK20_skl,sK21_skl,sK24_skl,sK24_skl,sK27_skl))&coll(sK25_skl,sK20_skl,sK21_skl))&circle(sK26_skl,sK24_skl,sK20_skl,sK21_skl))&circle(sK26_skl,sK24_skl,sK22_skl,sK28_skl))&coll(sK22_skl,sK24_skl,sK27_skl))&circle(sK26_skl,sK24_skl,sK23_skl,sK29_skl))&coll(sK23_skl,sK24_skl,sK25_skl))&~para(sK20_skl,sK21_skl,sK22_skl,sK23_skl))),
% 7.22/1.38 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]),skolemize(B,sK20_skl),skolemize(C,sK21_skl),skolemize(P,sK22_skl),skolemize(Q,sK23_skl),skolemize(A,sK24_skl),skolemize(S,sK25_skl),skolemize(F,sK26_skl),skolemize(A1,sK27_skl),skolemize(NWPNT1,sK28_skl),skolemize(NWPNT2,sK29_skl)],[f370])).
% 7.22/1.38 fof(f372,plain,(
% 7.22/1.38 midp(sK27_skl,sK21_skl,sK20_skl)),
% 7.22/1.38 inference(cnf_transformation,[status(thm)],[f371])).
% 7.22/1.38 fof(f380,plain,(
% 7.22/1.38 ~para(sK20_skl,sK21_skl,sK22_skl,sK23_skl)),
% 7.22/1.38 inference(cnf_transformation,[status(thm)],[f371])).
% 7.22/1.38 fof(f382,plain,(
% 7.22/1.38 ![X0,X1,X2]: (coll(X0,X1,X2)|~midp(X0,X2,X1))),
% 7.22/1.38 inference(resolution,[status(thm)],[f262,f122])).
% 7.22/1.38 fof(f383,plain,(
% 7.22/1.38 ![X0,X1]: (~para(sK20_skl,sK21_skl,X0,X1)|~para(X0,X1,sK22_skl,sK23_skl))),
% 7.22/1.38 inference(resolution,[status(thm)],[f380,f110])).
% 7.22/1.38 fof(f386,plain,(
% 7.22/1.38 coll(sK27_skl,sK20_skl,sK21_skl)),
% 7.22/1.38 inference(resolution,[status(thm)],[f382,f372])).
% 7.22/1.38 fof(f393,plain,(
% 7.22/1.38 ![X0,X1]: (~para(X0,X1,sK22_skl,sK23_skl)|~para(sK20_skl,sK21_skl,X1,X0))),
% 7.22/1.38 inference(resolution,[status(thm)],[f383,f105])).
% 7.22/1.38 fof(f417,plain,(
% 7.22/1.38 ![X0,X1,X2]: (coll(X0,X1,X2)|~para(X0,X2,X0,X1))),
% 7.22/1.38 inference(resolution,[status(thm)],[f256,f107])).
% 7.22/1.38 fof(f419,plain,(
% 7.22/1.38 cong(sK27_skl,sK21_skl,sK27_skl,sK20_skl)),
% 7.22/1.38 inference(resolution,[status(thm)],[f260,f372])).
% 7.22/1.38 fof(f420,plain,(
% 7.22/1.38 ![X0,X1,X2]: (cong(X0,X1,X0,X2)|~midp(X0,X2,X1))),
% 7.22/1.38 inference(resolution,[status(thm)],[f260,f122])).
% 7.22/1.38 fof(f428,plain,(
% 7.22/1.38 ![X0,X1,X2]: (coll(X0,X1,X2)|~para(X0,X2,X1,X0))),
% 7.22/1.38 inference(resolution,[status(thm)],[f417,f105])).
% 7.22/1.38 fof(f438,plain,(
% 7.22/1.38 cong(sK27_skl,sK20_skl,sK27_skl,sK21_skl)),
% 7.22/1.38 inference(resolution,[status(thm)],[f420,f372])).
% 7.22/1.38 fof(f448,plain,(
% 7.22/1.38 ![X0,X1,X2,X3,X4,X5]: (para(X0,X1,X2,X3)|~eqangle(X4,X5,X0,X1,X4,X5,X2,X3))),
% 7.22/1.38 inference(resolution,[status(thm)],[f186,f140])).
% 7.22/1.38 fof(f449,plain,(
% 7.22/1.38 ![X0,X1,X2,X3,X4,X5]: (para(X0,X1,X2,X3)|~eqangle(X1,X0,X4,X5,X2,X3,X4,X5))),
% 7.22/1.38 inference(resolution,[status(thm)],[f186,f138])).
% 7.22/1.38 fof(f451,plain,(
% 7.22/1.38 ![X0,X1,X2]: (coll(X0,X1,X2)|~para(X1,X0,X0,X2))),
% 7.22/1.38 inference(resolution,[status(thm)],[f428,f107])).
% 7.22/1.38 fof(f458,plain,(
% 7.22/1.38 ![X0,X1,X2]: (coll(X0,X1,X2)|~para(X1,X0,X2,X0))),
% 7.22/1.38 inference(resolution,[status(thm)],[f451,f105])).
% 7.22/1.38 fof(f463,plain,(
% 7.22/1.38 ![X0,X1]: (~cong(X0,X1,sK27_skl,sK20_skl)|cong(X0,X1,sK27_skl,sK21_skl))),
% 7.22/1.38 inference(resolution,[status(thm)],[f154,f438])).
% 7.22/1.38 fof(f464,plain,(
% 7.22/1.38 ![X0,X1]: (~cong(X0,X1,sK27_skl,sK21_skl)|cong(X0,X1,sK27_skl,sK20_skl))),
% 7.22/1.38 inference(resolution,[status(thm)],[f154,f419])).
% 7.22/1.38 fof(f478,plain,(
% 7.22/1.38 ![X0,X1]: (~midp(X0,sK21_skl,X1)|para(X0,sK27_skl,X1,sK20_skl))),
% 7.22/1.38 inference(resolution,[status(thm)],[f201,f372])).
% 7.22/1.38 fof(f530,plain,(
% 7.22/1.38 ~coll(sK27_skl,sK20_skl,sK21_skl)|midp(sK27_skl,sK20_skl,sK21_skl)),
% 7.22/1.38 inference(resolution,[status(thm)],[f258,f438])).
% 7.22/1.38 fof(f532,plain,(
% 7.22/1.38 midp(sK27_skl,sK20_skl,sK21_skl)),
% 7.22/1.38 inference(forward_subsumption_resolution,[status(thm)],[f530,f386])).
% 7.22/1.38 fof(f542,plain,(
% 7.22/1.38 ![X0,X1]: (~midp(sK27_skl,X0,X1)|para(X0,sK20_skl,X1,sK21_skl))),
% 7.22/1.38 inference(resolution,[status(thm)],[f532,f249])).
% 7.22/1.38 fof(f549,plain,(
% 7.22/1.38 para(sK20_skl,sK20_skl,sK21_skl,sK21_skl)),
% 7.22/1.38 inference(resolution,[status(thm)],[f542,f532])).
% 7.22/1.38 fof(f861,plain,(
% 7.22/1.38 cong(sK27_skl,sK21_skl,sK27_skl,sK21_skl)),
% 7.22/1.38 inference(resolution,[status(thm)],[f463,f419])).
% 7.22/1.38 fof(f875,plain,(
% 7.22/1.38 ~coll(sK27_skl,sK21_skl,sK21_skl)|midp(sK27_skl,sK21_skl,sK21_skl)),
% 7.22/1.38 inference(resolution,[status(thm)],[f861,f258])).
% 7.22/1.38 fof(f887,plain,(
% 7.22/1.38 ![X0,X1,X2,X3]: (para(X0,X1,X0,X1)|~para(X2,X3,X2,X3))),
% 7.22/1.38 inference(resolution,[status(thm)],[f448,f189])).
% 7.22/1.38 fof(f896,plain,(
% 7.22/1.38 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3)|~para(X1,X0,X2,X3))),
% 7.22/1.38 inference(resolution,[status(thm)],[f449,f189])).
% 7.22/1.38 fof(f918,plain,(
% 7.22/1.38 ![X0,X1,X2,X3,X4,X5]: (para(X0,X1,X0,X1)|~para(X2,X3,X4,X5)|~para(X4,X5,X2,X3))),
% 7.22/1.38 inference(resolution,[status(thm)],[f887,f110])).
% 7.22/1.38 fof(f921,plain,(
% 7.22/1.38 ![X0,X1,X2,X3,X4,X5]: (para(X0,X1,X0,X1)|~para(X2,X3,X4,X5))),
% 7.22/1.38 inference(forward_subsumption_resolution,[status(thm)],[f918,f107])).
% 7.22/1.38 fof(f937,plain,(
% 7.22/1.38 cong(sK27_skl,sK20_skl,sK27_skl,sK20_skl)),
% 7.22/1.38 inference(resolution,[status(thm)],[f464,f438])).
% 7.22/1.38 fof(f953,plain,(
% 7.22/1.38 ~coll(sK27_skl,sK20_skl,sK20_skl)|midp(sK27_skl,sK20_skl,sK20_skl)),
% 7.22/1.38 inference(resolution,[status(thm)],[f937,f258])).
% 7.22/1.38 fof(f1015,plain,(
% 7.22/1.38 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3)|~para(X2,X3,X1,X0))),
% 7.22/1.38 inference(resolution,[status(thm)],[f896,f107])).
% 7.22/1.38 fof(f1046,plain,(
% 7.22/1.38 ![X0,X1]: (para(X0,X1,X0,X1))),
% 7.22/1.38 inference(resolution,[status(thm)],[f921,f549])).
% 7.22/1.38 fof(f1075,plain,(
% 7.22/1.38 ![X0,X1]: (coll(X0,X1,X1))),
% 7.22/1.38 inference(resolution,[status(thm)],[f1046,f458])).
% 7.22/1.38 fof(f1083,plain,(
% 7.22/1.38 midp(sK27_skl,sK20_skl,sK20_skl)),
% 7.22/1.38 inference(backward_subsumption_resolution,[status(thm)],[f953,f1075])).
% 7.22/1.38 fof(f1084,plain,(
% 7.22/1.38 midp(sK27_skl,sK21_skl,sK21_skl)),
% 7.22/1.38 inference(backward_subsumption_resolution,[status(thm)],[f875,f1075])).
% 7.22/1.38 fof(f1136,plain,(
% 7.22/1.38 ![X0,X1]: (~para(sK20_skl,X0,sK20_skl,X1)|~para(sK20_skl,X1,sK20_skl,X0)|midp(sK27_skl,X0,X1))),
% 7.22/1.38 inference(resolution,[status(thm)],[f1083,f252])).
% 7.22/1.38 fof(f1145,plain,(
% 7.22/1.38 ![X0,X1]: (~para(sK20_skl,X0,sK20_skl,X1)|midp(sK27_skl,X1,X0))),
% 7.22/1.38 inference(forward_subsumption_resolution,[status(thm)],[f1136,f107])).
% 7.22/1.38 fof(f1168,plain,(
% 7.22/1.38 para(sK27_skl,sK27_skl,sK21_skl,sK20_skl)),
% 7.22/1.38 inference(resolution,[status(thm)],[f1084,f478])).
% 7.22/1.38 fof(f1440,plain,(
% 7.22/1.38 para(sK20_skl,sK21_skl,sK27_skl,sK27_skl)),
% 7.22/1.38 inference(resolution,[status(thm)],[f1015,f1168])).
% 7.22/1.38 fof(f1474,plain,(
% 7.22/1.38 ~para(sK27_skl,sK27_skl,sK22_skl,sK23_skl)),
% 7.22/1.38 inference(resolution,[status(thm)],[f1440,f393])).
% 7.22/1.39 fof(f1662,plain,(
% 7.22/1.39 ![X0]: (midp(sK27_skl,X0,X0))),
% 7.22/1.39 inference(resolution,[status(thm)],[f1145,f1046])).
% 7.22/1.39 fof(f1700,plain,(
% 7.22/1.39 ![X0]: (cong(sK27_skl,X0,sK27_skl,X0))),
% 7.22/1.39 inference(resolution,[status(thm)],[f1662,f420])).
% 7.22/1.39 fof(f1755,plain,(
% 7.22/1.39 ![X0,X1]: (~cong(sK27_skl,X0,sK27_skl,X0)|perp(sK27_skl,sK27_skl,X0,X1))),
% 7.22/1.39 inference(resolution,[status(thm)],[f1700,f232])).
% 7.22/1.39 fof(f1768,plain,(
% 7.22/1.39 ![X0,X1]: (perp(sK27_skl,sK27_skl,X0,X1))),
% 7.22/1.39 inference(forward_subsumption_resolution,[status(thm)],[f1755,f1700])).
% 7.22/1.39 fof(f1941,plain,(
% 7.22/1.39 ![X0,X1]: (perp(X0,X1,sK27_skl,sK27_skl))),
% 7.22/1.39 inference(resolution,[status(thm)],[f1768,f114])).
% 7.22/1.39 fof(f1943,plain,(
% 7.22/1.39 ![X0,X1,X2,X3]: (~perp(X0,X1,sK27_skl,sK27_skl)|para(X0,X1,X2,X3))),
% 7.22/1.39 inference(resolution,[status(thm)],[f1768,f117])).
% 7.22/1.39 fof(f1979,plain,(
% 7.22/1.39 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3))),
% 7.22/1.39 inference(forward_subsumption_resolution,[status(thm)],[f1943,f1941])).
% 7.22/1.39 fof(f1980,plain,(
% 7.22/1.39 $false),
% 7.22/1.39 inference(backward_subsumption_resolution,[status(thm)],[f1474,f1979])).
% 7.22/1.39 % SZS output end CNFRefutation for theBenchmark.p
% 7.22/1.40 % Elapsed time: 1.008096 seconds
% 7.22/1.40 % CPU time: 7.638341 seconds
% 7.22/1.40 % Total memory used: 137.900 MB
% 7.22/1.40 % Net memory used: 131.209 MB
%------------------------------------------------------------------------------