%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO608+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 : n020.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 12:26:43 PM UTC 2026
% Result : Theorem 1.20s 0.75s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO608+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n020.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 17:54:47 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 1.20/0.75 % Refutation found
% 1.20/0.75 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.20/0.75 % SZS output start CNFRefutation for theBenchmark
% 1.20/0.75 fof(f1,axiom,(
% 1.20/0.75 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 1.20/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.20/0.75 fof(f2,axiom,(
% 1.20/0.75 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 1.20/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.20/0.75 fof(f3,axiom,(
% 1.20/0.75 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 1.20/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.20/0.75 fof(f4,axiom,(
% 1.20/0.75 (! [A,B,C,D] :( para(A,B,C,D)=> para(A,B,D,C) ) )),
% 1.20/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.20/0.75 fof(f11,axiom,(
% 1.20/0.75 (! [A,B,M] :( midp(M,B,A)=> midp(M,A,B) ) )),
% 1.20/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.20/0.75 fof(f14,axiom,(
% 1.20/0.75 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,B,D,C) ) )),
% 1.20/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.20/0.75 fof(f15,axiom,(
% 1.20/0.75 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,C,B,D) ) )),
% 1.20/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.20/0.75 fof(f17,axiom,(
% 1.20/0.75 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 1.20/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.20/0.75 fof(f20,axiom,(
% 1.20/0.75 (! [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) ) )),
% 1.20/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.20/0.75 fof(f21,axiom,(
% 1.20/0.75 (! [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) ) )),
% 1.20/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.20/0.75 fof(f40,axiom,(
% 1.20/0.75 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 1.20/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.20/0.75 fof(f41,axiom,(
% 1.20/0.75 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 1.20/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.20/0.75 fof(f43,axiom,(
% 1.20/0.75 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 1.20/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.20/0.75 fof(f44,axiom,(
% 1.20/0.75 (! [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) ) )),
% 1.20/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.20/0.75 fof(f45,axiom,(
% 1.20/0.75 (! [A,B,C,E,F] :( ( midp(E,A,B)& midp(F,A,C) )=> para(E,F,B,C) ) )),
% 1.20/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.20/0.75 fof(f58,axiom,(
% 1.20/0.75 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q)& cyclic(A,B,P,Q) )=> perp(P,A,A,Q) ) )),
% 1.20/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.20/0.75 fof(f64,axiom,(
% 1.20/0.75 (! [A,B,C,D,M] :( ( midp(M,A,B)& midp(M,C,D) )=> para(A,C,B,D) ) )),
% 1.20/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.20/0.75 fof(f67,axiom,(
% 1.20/0.75 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 1.20/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.20/0.75 fof(f74,axiom,(
% 1.20/0.75 (! [A,B,C,D,P,Q,U,V] :( ( eqangle(A,B,C,D,P,Q,U,V)& para(P,Q,U,V) )=> para(A,B,C,D) ) )),
% 1.20/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.20/0.75 fof(f95,conjecture,(
% 1.20/0.75 (! [P,A,B,O,A1,B1,O1,NWPNT1,NWPNT2,NWPNT3,NWPNT4] :( ( midp(O,B,A)& circle(O,A,NWPNT1,NWPNT2)& coll(A1,P,A)& circle(O,A,A1,NWPNT3)& coll(B1,P,B)& circle(O,A,B1,NWPNT4)& circle(O1,P,A1,B1) )=> perp(O,A1,A1,O1) ) )),
% 1.20/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.20/0.75 fof(f96,negated_conjecture,(
% 1.20/0.75 ~((! [P,A,B,O,A1,B1,O1,NWPNT1,NWPNT2,NWPNT3,NWPNT4] :( ( midp(O,B,A)& circle(O,A,NWPNT1,NWPNT2)& coll(A1,P,A)& circle(O,A,A1,NWPNT3)& coll(B1,P,B)& circle(O,A,B1,NWPNT4)& circle(O1,P,A1,B1) )=> perp(O,A1,A1,O1) ) ))),
% 1.20/0.75 inference(negated_conjecture,[status(cth)],[f95])).
% 1.20/0.75 fof(f97,plain,(
% 1.20/0.75 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 1.20/0.75 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 1.20/0.75 fof(f98,plain,(
% 1.20/0.75 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 1.20/0.75 inference(cnf_transformation,[status(thm)],[f97])).
% 1.20/0.75 fof(f99,plain,(
% 1.20/0.75 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 1.20/0.75 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 1.20/0.75 fof(f100,plain,(
% 1.20/0.75 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 1.20/0.75 inference(cnf_transformation,[status(thm)],[f99])).
% 1.20/0.75 fof(f101,plain,(
% 1.20/0.75 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 1.20/0.75 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 1.20/0.75 fof(f102,plain,(
% 1.20/0.75 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 1.20/0.75 inference(miniscoping,[status(thm)],[f101])).
% 1.20/0.75 fof(f103,plain,(
% 1.20/0.75 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 1.20/0.75 inference(cnf_transformation,[status(thm)],[f102])).
% 1.20/0.75 fof(f104,plain,(
% 1.20/0.75 ![A,B,C,D]: (~para(A,B,C,D)|para(A,B,D,C))),
% 1.20/0.75 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 1.20/0.75 fof(f105,plain,(
% 1.20/0.75 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X0,X1,X3,X2))),
% 1.20/0.75 inference(cnf_transformation,[status(thm)],[f104])).
% 1.20/0.75 fof(f121,plain,(
% 1.20/0.75 ![A,B,M]: (~midp(M,B,A)|midp(M,A,B))),
% 1.20/0.75 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 1.20/0.75 fof(f122,plain,(
% 1.20/0.75 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X0,X2,X1))),
% 1.20/0.75 inference(cnf_transformation,[status(thm)],[f121])).
% 1.20/0.75 fof(f128,plain,(
% 1.20/0.75 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,B,D,C))),
% 1.20/0.75 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 1.20/0.75 fof(f129,plain,(
% 1.20/0.75 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X1,X3,X2))),
% 1.20/0.75 inference(cnf_transformation,[status(thm)],[f128])).
% 1.20/0.75 fof(f130,plain,(
% 1.20/0.75 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,C,B,D))),
% 1.20/0.75 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 1.20/0.75 fof(f131,plain,(
% 1.20/0.75 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X2,X1,X3))),
% 1.20/0.75 inference(cnf_transformation,[status(thm)],[f130])).
% 1.20/0.75 fof(f134,plain,(
% 1.20/0.75 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 1.20/0.75 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 1.20/0.75 fof(f135,plain,(
% 1.20/0.75 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 1.20/0.75 inference(miniscoping,[status(thm)],[f134])).
% 1.20/0.75 fof(f136,plain,(
% 1.20/0.75 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 1.20/0.75 inference(cnf_transformation,[status(thm)],[f135])).
% 1.20/0.75 fof(f141,plain,(
% 1.20/0.75 ![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))),
% 1.20/0.75 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 1.20/0.75 fof(f142,plain,(
% 1.20/0.75 ![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))),
% 1.20/0.75 inference(cnf_transformation,[status(thm)],[f141])).
% 1.20/0.75 fof(f143,plain,(
% 1.20/0.75 ![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))),
% 1.20/0.75 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 1.20/0.75 fof(f144,plain,(
% 1.20/0.75 ![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))),
% 1.20/0.75 inference(cnf_transformation,[status(thm)],[f143])).
% 1.20/0.75 fof(f187,plain,(
% 1.20/0.75 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 1.20/0.75 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 1.20/0.75 fof(f188,plain,(
% 1.20/0.75 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 1.20/0.75 inference(miniscoping,[status(thm)],[f187])).
% 1.20/0.75 fof(f189,plain,(
% 1.20/0.75 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 1.20/0.75 inference(cnf_transformation,[status(thm)],[f188])).
% 1.20/0.75 fof(f190,plain,(
% 1.20/0.75 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 1.20/0.75 inference(pre_NNF_transformation,[status(thm)],[f41])).
% 1.20/0.75 fof(f191,plain,(
% 1.20/0.75 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 1.20/0.75 inference(cnf_transformation,[status(thm)],[f190])).
% 1.20/0.75 fof(f194,plain,(
% 1.20/0.75 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 1.20/0.75 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 1.20/0.75 fof(f195,plain,(
% 1.20/0.75 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 1.20/0.75 inference(cnf_transformation,[status(thm)],[f194])).
% 1.20/0.75 fof(f196,plain,(
% 1.20/0.75 ![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))),
% 1.20/0.75 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 1.20/0.75 fof(f197,plain,(
% 1.20/0.75 ![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))),
% 1.20/0.75 inference(miniscoping,[status(thm)],[f196])).
% 1.20/0.75 fof(f198,plain,(
% 1.20/0.75 ![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))),
% 1.20/0.75 inference(cnf_transformation,[status(thm)],[f197])).
% 1.20/0.75 fof(f199,plain,(
% 1.20/0.75 ![A,B,C,E,F]: ((~midp(E,A,B)|~midp(F,A,C))|para(E,F,B,C))),
% 1.20/0.75 inference(pre_NNF_transformation,[status(thm)],[f45])).
% 1.20/0.75 fof(f200,plain,(
% 1.20/0.75 ![B,C,E,F]: ((![A]: (~midp(E,A,B)|~midp(F,A,C)))|para(E,F,B,C))),
% 1.20/0.75 inference(miniscoping,[status(thm)],[f199])).
% 1.20/0.75 fof(f201,plain,(
% 1.20/0.75 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~midp(X3,X1,X4)|para(X0,X3,X2,X4))),
% 1.20/0.75 inference(cnf_transformation,[status(thm)],[f200])).
% 1.20/0.75 fof(f233,plain,(
% 1.20/0.75 ![A,B,P,Q]: (((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q))|perp(P,A,A,Q))),
% 1.20/0.75 inference(pre_NNF_transformation,[status(thm)],[f58])).
% 1.20/0.75 fof(f234,plain,(
% 1.20/0.75 ![A,P,Q]: ((![B]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q)))|perp(P,A,A,Q))),
% 1.20/0.75 inference(miniscoping,[status(thm)],[f233])).
% 1.20/0.75 fof(f235,plain,(
% 1.20/0.75 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|~cyclic(X0,X2,X1,X3)|perp(X1,X0,X0,X3))),
% 1.20/0.75 inference(cnf_transformation,[status(thm)],[f234])).
% 1.20/0.75 fof(f247,plain,(
% 1.20/0.75 ![A,B,C,D,M]: ((~midp(M,A,B)|~midp(M,C,D))|para(A,C,B,D))),
% 1.20/0.75 inference(pre_NNF_transformation,[status(thm)],[f64])).
% 1.20/0.75 fof(f248,plain,(
% 1.20/0.75 ![A,B,C,D]: ((![M]: (~midp(M,A,B)|~midp(M,C,D)))|para(A,C,B,D))),
% 1.20/0.75 inference(miniscoping,[status(thm)],[f247])).
% 1.20/0.75 fof(f249,plain,(
% 1.20/0.75 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~midp(X0,X3,X4)|para(X1,X3,X2,X4))),
% 1.20/0.75 inference(cnf_transformation,[status(thm)],[f248])).
% 1.20/0.75 fof(f255,plain,(
% 1.20/0.75 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 1.20/0.75 inference(pre_NNF_transformation,[status(thm)],[f67])).
% 1.20/0.75 fof(f256,plain,(
% 1.20/0.75 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 1.20/0.75 inference(cnf_transformation,[status(thm)],[f255])).
% 1.20/0.75 fof(f269,plain,(
% 1.20/0.75 ![A,B,C,D,P,Q,U,V]: ((~eqangle(A,B,C,D,P,Q,U,V)|~para(P,Q,U,V))|para(A,B,C,D))),
% 1.20/0.75 inference(pre_NNF_transformation,[status(thm)],[f74])).
% 1.20/0.75 fof(f270,plain,(
% 1.20/0.75 ![A,B,C,D]: ((![P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|~para(P,Q,U,V)))|para(A,B,C,D))),
% 1.20/0.75 inference(miniscoping,[status(thm)],[f269])).
% 1.20/0.75 fof(f271,plain,(
% 1.20/0.75 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|~para(X4,X5,X6,X7)|para(X0,X1,X2,X3))),
% 1.20/0.75 inference(cnf_transformation,[status(thm)],[f270])).
% 1.20/0.75 fof(f369,plain,(
% 1.20/0.75 (?[P,A,B,O,A1,B1,O1,NWPNT1,NWPNT2,NWPNT3,NWPNT4]: (((((((midp(O,B,A)&circle(O,A,NWPNT1,NWPNT2))&coll(A1,P,A))&circle(O,A,A1,NWPNT3))&coll(B1,P,B))&circle(O,A,B1,NWPNT4))&circle(O1,P,A1,B1))&~perp(O,A1,A1,O1)))),
% 1.20/0.75 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 1.20/0.75 fof(f370,plain,(
% 1.20/0.75 ?[O,A1,O1]: ((?[P,B1]: ((?[A]: ((?[B]: ((((midp(O,B,A)&(?[NWPNT1,NWPNT2]: circle(O,A,NWPNT1,NWPNT2)))&coll(A1,P,A))&(?[NWPNT3]: circle(O,A,A1,NWPNT3)))&coll(B1,P,B)))&(?[NWPNT4]: circle(O,A,B1,NWPNT4))))&circle(O1,P,A1,B1)))&~perp(O,A1,A1,O1))),
% 1.20/0.75 inference(miniscoping,[status(thm)],[f369])).
% 1.20/0.75 fof(f371,plain,(
% 1.20/0.75 (((((((midp(sK20_skl,sK26_skl,sK25_skl)&circle(sK20_skl,sK25_skl,sK27_skl,sK28_skl))&coll(sK21_skl,sK23_skl,sK25_skl))&circle(sK20_skl,sK25_skl,sK21_skl,sK29_skl))&coll(sK24_skl,sK23_skl,sK26_skl))&circle(sK20_skl,sK25_skl,sK24_skl,sK30_skl))&circle(sK22_skl,sK23_skl,sK21_skl,sK24_skl))&~perp(sK20_skl,sK21_skl,sK21_skl,sK22_skl))),
% 1.20/0.75 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(O,sK20_skl),skolemize(A1,sK21_skl),skolemize(O1,sK22_skl),skolemize(P,sK23_skl),skolemize(B1,sK24_skl),skolemize(A,sK25_skl),skolemize(B,sK26_skl),skolemize(NWPNT1,sK27_skl),skolemize(NWPNT2,sK28_skl),skolemize(NWPNT3,sK29_skl),skolemize(NWPNT4,sK30_skl)],[f370])).
% 1.20/0.75 fof(f372,plain,(
% 1.20/0.75 midp(sK20_skl,sK26_skl,sK25_skl)),
% 1.20/0.75 inference(cnf_transformation,[status(thm)],[f371])).
% 1.20/0.75 fof(f379,plain,(
% 1.20/0.75 ~perp(sK20_skl,sK21_skl,sK21_skl,sK22_skl)),
% 1.20/0.75 inference(cnf_transformation,[status(thm)],[f371])).
% 1.20/0.75 fof(f416,plain,(
% 1.20/0.75 midp(sK20_skl,sK25_skl,sK26_skl)),
% 1.20/0.75 inference(resolution,[status(thm)],[f122,f372])).
% 1.20/0.75 fof(f1468,plain,(
% 1.20/0.75 ![X0,X1]: (~midp(X0,sK26_skl,X1)|para(X0,sK20_skl,X1,sK25_skl))),
% 1.20/0.75 inference(resolution,[status(thm)],[f201,f372])).
% 1.20/0.75 fof(f1485,plain,(
% 1.20/0.75 para(sK20_skl,sK20_skl,sK25_skl,sK25_skl)),
% 1.20/0.75 inference(resolution,[status(thm)],[f1468,f372])).
% 1.20/0.75 fof(f1504,plain,(
% 1.20/0.75 ![X0,X1]: (eqangle(sK20_skl,sK20_skl,X0,X1,sK25_skl,sK25_skl,X0,X1))),
% 1.20/0.75 inference(resolution,[status(thm)],[f1485,f189])).
% 1.20/0.75 fof(f1723,plain,(
% 1.20/0.75 ![X0,X1]: (eqangle(sK20_skl,sK20_skl,sK25_skl,sK25_skl,X0,X1,X0,X1))),
% 1.20/0.75 inference(resolution,[status(thm)],[f1504,f144])).
% 1.20/0.75 fof(f2170,plain,(
% 1.20/0.75 ![X0,X1]: (~midp(sK20_skl,X0,X1)|para(X0,sK26_skl,X1,sK25_skl))),
% 1.20/0.75 inference(resolution,[status(thm)],[f249,f372])).
% 1.20/0.75 fof(f2243,plain,(
% 1.20/0.75 para(sK25_skl,sK26_skl,sK26_skl,sK25_skl)),
% 1.20/0.75 inference(resolution,[status(thm)],[f2170,f416])).
% 1.20/0.75 fof(f2254,plain,(
% 1.20/0.75 para(sK25_skl,sK26_skl,sK25_skl,sK26_skl)),
% 1.20/0.75 inference(resolution,[status(thm)],[f2243,f105])).
% 1.20/0.75 fof(f2283,plain,(
% 1.20/0.75 ![X0,X1]: (eqangle(sK25_skl,sK26_skl,X0,X1,sK25_skl,sK26_skl,X0,X1))),
% 1.20/0.75 inference(resolution,[status(thm)],[f2254,f189])).
% 1.20/0.75 fof(f2978,plain,(
% 1.20/0.75 ![X0,X1]: (eqangle(X0,X1,X0,X1,sK20_skl,sK20_skl,sK25_skl,sK25_skl))),
% 1.20/0.75 inference(resolution,[status(thm)],[f1723,f142])).
% 1.20/0.75 fof(f3521,plain,(
% 1.20/0.75 ![X0,X1]: (~para(sK20_skl,sK20_skl,sK25_skl,sK25_skl)|para(X0,X1,X0,X1))),
% 1.20/0.75 inference(resolution,[status(thm)],[f2978,f271])).
% 1.20/0.75 fof(f3528,plain,(
% 1.20/0.75 ![X0,X1]: (para(X0,X1,X0,X1))),
% 1.20/0.75 inference(forward_subsumption_resolution,[status(thm)],[f3521,f1485])).
% 1.20/0.75 fof(f3536,plain,(
% 1.20/0.75 ![X0,X1]: (coll(X0,X1,X1))),
% 1.20/0.75 inference(resolution,[status(thm)],[f3528,f256])).
% 1.20/0.75 fof(f3723,plain,(
% 1.20/0.75 ![X0,X1]: (coll(X0,X1,X0))),
% 1.20/0.75 inference(resolution,[status(thm)],[f3536,f100])).
% 1.20/0.75 fof(f3909,plain,(
% 1.20/0.75 ![X0,X1]: (coll(X0,X0,X1))),
% 1.20/0.75 inference(resolution,[status(thm)],[f3723,f98])).
% 1.20/0.75 fof(f3962,plain,(
% 1.20/0.75 ![X0,X1,X2]: (~coll(X0,X0,X1)|coll(X1,X2,X0))),
% 1.20/0.75 inference(resolution,[status(thm)],[f3909,f103])).
% 1.20/0.75 fof(f3965,plain,(
% 1.20/0.75 ![X0,X1,X2]: (coll(X0,X1,X2))),
% 1.20/0.75 inference(forward_subsumption_resolution,[status(thm)],[f3962,f3909])).
% 1.20/0.75 fof(f3968,plain,(
% 1.20/0.75 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|cyclic(X1,X2,X0,X3))),
% 1.20/0.75 inference(backward_subsumption_resolution,[status(thm)],[f195,f3965])).
% 1.20/0.75 fof(f4028,plain,(
% 1.20/0.75 ![X0]: (cyclic(sK26_skl,X0,sK25_skl,sK25_skl))),
% 1.20/0.75 inference(resolution,[status(thm)],[f3968,f2283])).
% 1.20/0.75 fof(f4054,plain,(
% 1.20/0.75 ![X0]: (cyclic(sK26_skl,sK25_skl,X0,sK25_skl))),
% 1.20/0.75 inference(resolution,[status(thm)],[f4028,f131])).
% 1.20/0.75 fof(f4081,plain,(
% 1.20/0.75 ![X0]: (cyclic(sK26_skl,sK25_skl,sK25_skl,X0))),
% 1.20/0.75 inference(resolution,[status(thm)],[f4054,f129])).
% 1.20/0.75 fof(f4113,plain,(
% 1.20/0.75 ![X0,X1]: (~cyclic(sK26_skl,sK25_skl,sK25_skl,X0)|cyclic(sK25_skl,sK25_skl,X0,X1))),
% 1.20/0.75 inference(resolution,[status(thm)],[f4081,f136])).
% 1.20/0.75 fof(f4117,plain,(
% 1.20/0.75 ![X0,X1]: (cyclic(sK25_skl,sK25_skl,X0,X1))),
% 1.20/0.75 inference(forward_subsumption_resolution,[status(thm)],[f4113,f4081])).
% 1.20/0.75 fof(f4130,plain,(
% 1.20/0.75 ![X0,X1,X2]: (~cyclic(sK25_skl,sK25_skl,X0,X1)|cyclic(sK25_skl,X0,X1,X2))),
% 1.20/0.75 inference(resolution,[status(thm)],[f4117,f136])).
% 1.20/0.75 fof(f4134,plain,(
% 1.20/0.75 ![X0,X1,X2]: (cyclic(sK25_skl,X0,X1,X2))),
% 1.20/0.75 inference(forward_subsumption_resolution,[status(thm)],[f4130,f4117])).
% 1.20/0.75 fof(f4136,plain,(
% 1.20/0.75 ![X0,X1,X2,X3]: (~cyclic(sK25_skl,X0,X1,X2)|cyclic(X0,X1,X2,X3))),
% 1.20/0.75 inference(resolution,[status(thm)],[f4134,f136])).
% 1.20/0.75 fof(f4140,plain,(
% 1.20/0.75 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3))),
% 1.20/0.75 inference(forward_subsumption_resolution,[status(thm)],[f4136,f4134])).
% 1.20/0.75 fof(f4141,plain,(
% 1.20/0.75 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X1,X0,X0,X3))),
% 1.20/0.75 inference(backward_subsumption_resolution,[status(thm)],[f235,f4140])).
% 1.20/0.75 fof(f4143,plain,(
% 1.20/0.75 ![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))),
% 1.20/0.75 inference(backward_subsumption_resolution,[status(thm)],[f198,f4140])).
% 1.20/0.75 fof(f4145,plain,(
% 1.20/0.75 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2))),
% 1.20/0.75 inference(backward_subsumption_resolution,[status(thm)],[f191,f4140])).
% 1.20/0.75 fof(f4146,plain,(
% 1.20/0.75 ![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))),
% 1.20/0.75 inference(forward_subsumption_resolution,[status(thm)],[f4143,f4140])).
% 1.20/0.75 fof(f4380,plain,(
% 1.20/0.75 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X0,X2,X3,X4,X3,X5)|cong(X1,X2,X4,X5))),
% 1.20/0.75 inference(forward_subsumption_resolution,[status(thm)],[f4146,f4140])).
% 1.20/0.75 fof(f4537,plain,(
% 1.20/0.75 ![X0,X1]: (cong(X0,X1,X0,X1))),
% 1.20/0.75 inference(resolution,[status(thm)],[f4145,f4380])).
% 1.20/0.75 fof(f4555,plain,(
% 1.20/0.75 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X1,X0,X0,X2))),
% 1.20/0.77 inference(resolution,[status(thm)],[f4537,f4141])).
% 1.20/0.77 fof(f4564,plain,(
% 1.20/0.77 ![X0,X1,X2]: (perp(X0,X1,X1,X2))),
% 1.20/0.77 inference(forward_subsumption_resolution,[status(thm)],[f4555,f4537])).
% 1.20/0.77 fof(f4596,plain,(
% 1.20/0.77 $false),
% 1.20/0.77 inference(backward_subsumption_resolution,[status(thm)],[f379,f4564])).
% 1.20/0.77 % SZS output end CNFRefutation for theBenchmark.p
% 1.20/0.77 % Elapsed time: 0.410595 seconds
% 1.20/0.77 % CPU time: 2.894210 seconds
% 1.20/0.77 % Total memory used: 114.269 MB
% 1.20/0.77 % Net memory used: 111.292 MB
%------------------------------------------------------------------------------