%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO559+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 12:26:38 PM UTC 2026
% Result : Theorem 1.07s 0.66s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO559+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
% 0.11/0.36 % Computer : n020.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 20 17:33:47 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 1.07/0.66 % Refutation found
% 1.07/0.66 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.07/0.66 % SZS output start CNFRefutation for theBenchmark
% 1.07/0.66 fof(f1,axiom,(
% 1.07/0.66 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 1.07/0.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.07/0.66 fof(f2,axiom,(
% 1.07/0.66 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 1.07/0.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.07/0.66 fof(f3,axiom,(
% 1.07/0.66 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 1.07/0.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.07/0.66 fof(f4,axiom,(
% 1.07/0.66 (! [A,B,C,D] :( para(A,B,C,D)=> para(A,B,D,C) ) )),
% 1.07/0.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.07/0.66 fof(f8,axiom,(
% 1.07/0.66 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 1.07/0.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.07/0.66 fof(f9,axiom,(
% 1.07/0.66 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 1.07/0.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.07/0.66 fof(f17,axiom,(
% 1.07/0.66 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 1.07/0.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.07/0.66 fof(f18,axiom,(
% 1.07/0.66 (! [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) ) )),
% 1.07/0.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.07/0.66 fof(f19,axiom,(
% 1.07/0.66 (! [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) ) )),
% 1.07/0.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.07/0.66 fof(f21,axiom,(
% 1.07/0.66 (! [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) ) )),
% 1.07/0.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.07/0.66 fof(f39,axiom,(
% 1.07/0.66 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 1.07/0.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.07/0.66 fof(f40,axiom,(
% 1.07/0.66 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 1.07/0.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.07/0.66 fof(f41,axiom,(
% 1.07/0.66 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 1.07/0.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.07/0.66 fof(f43,axiom,(
% 1.07/0.66 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 1.07/0.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.07/0.66 fof(f44,axiom,(
% 1.07/0.66 (! [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) ) )),
% 1.07/0.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.07/0.66 fof(f46,axiom,(
% 1.07/0.66 (! [A,B,C,E,F] :( ( midp(E,A,B)& para(E,F,B,C)& coll(F,A,C) )=> midp(F,A,C) ) )),
% 1.07/0.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.07/0.66 fof(f56,axiom,(
% 1.07/0.66 (! [A,B,M,O] :( ( midp(M,A,B)& perp(O,M,A,B) )=> cong(O,A,O,B) ) )),
% 1.07/0.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.07/0.66 fof(f58,axiom,(
% 1.07/0.66 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q)& cyclic(A,B,P,Q) )=> perp(P,A,A,Q) ) )),
% 1.07/0.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.07/0.66 fof(f64,axiom,(
% 1.07/0.66 (! [A,B,C,D,M] :( ( midp(M,A,B)& midp(M,C,D) )=> para(A,C,B,D) ) )),
% 1.07/0.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.07/0.66 fof(f67,axiom,(
% 1.07/0.66 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 1.07/0.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.07/0.66 fof(f68,axiom,(
% 1.07/0.66 (! [A,B,C] :( ( cong(A,B,A,C)& coll(A,B,C) )=> midp(A,B,C) ) )),
% 1.07/0.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.07/0.66 fof(f87,axiom,(
% 1.07/0.66 (! [A,B,C,O] :(? [P] :( circle(O,A,B,C)=> perp(P,A,A,O) ) ))),
% 1.07/0.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.07/0.66 fof(f95,conjecture,(
% 1.07/0.66 (! [A,B,C,O,F,P,E,D,NWPNT1,NWPNT2] :( ( circle(O,A,B,C)& circle(P,A,B,F)& circle(P,A,E,NWPNT1)& coll(E,A,C)& circle(O,B,D,NWPNT2)& coll(D,B,F) )=> para(C,D,E,F) ) )),
% 1.07/0.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.07/0.66 fof(f96,negated_conjecture,(
% 1.07/0.66 ~((! [A,B,C,O,F,P,E,D,NWPNT1,NWPNT2] :( ( circle(O,A,B,C)& circle(P,A,B,F)& circle(P,A,E,NWPNT1)& coll(E,A,C)& circle(O,B,D,NWPNT2)& coll(D,B,F) )=> para(C,D,E,F) ) ))),
% 1.07/0.66 inference(negated_conjecture,[status(cth)],[f95])).
% 1.07/0.66 fof(f97,plain,(
% 1.07/0.66 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 1.07/0.66 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 1.07/0.66 fof(f98,plain,(
% 1.07/0.66 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 1.07/0.67 inference(cnf_transformation,[status(thm)],[f97])).
% 1.07/0.67 fof(f99,plain,(
% 1.07/0.67 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 1.07/0.67 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 1.07/0.67 fof(f100,plain,(
% 1.07/0.67 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 1.07/0.67 inference(cnf_transformation,[status(thm)],[f99])).
% 1.07/0.67 fof(f101,plain,(
% 1.07/0.67 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 1.07/0.67 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 1.07/0.67 fof(f102,plain,(
% 1.07/0.67 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 1.07/0.67 inference(miniscoping,[status(thm)],[f101])).
% 1.07/0.67 fof(f103,plain,(
% 1.07/0.67 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 1.07/0.67 inference(cnf_transformation,[status(thm)],[f102])).
% 1.07/0.67 fof(f104,plain,(
% 1.07/0.67 ![A,B,C,D]: (~para(A,B,C,D)|para(A,B,D,C))),
% 1.07/0.67 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 1.07/0.67 fof(f105,plain,(
% 1.07/0.67 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X0,X1,X3,X2))),
% 1.07/0.67 inference(cnf_transformation,[status(thm)],[f104])).
% 1.07/0.67 fof(f113,plain,(
% 1.07/0.67 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 1.07/0.67 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 1.07/0.67 fof(f114,plain,(
% 1.07/0.67 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 1.07/0.67 inference(cnf_transformation,[status(thm)],[f113])).
% 1.07/0.67 fof(f115,plain,(
% 1.07/0.67 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 1.07/0.67 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 1.07/0.67 fof(f116,plain,(
% 1.07/0.67 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 1.07/0.67 inference(miniscoping,[status(thm)],[f115])).
% 1.07/0.67 fof(f117,plain,(
% 1.07/0.67 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 1.07/0.67 inference(cnf_transformation,[status(thm)],[f116])).
% 1.07/0.67 fof(f134,plain,(
% 1.07/0.67 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 1.07/0.67 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 1.07/0.67 fof(f135,plain,(
% 1.07/0.67 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 1.07/0.67 inference(miniscoping,[status(thm)],[f134])).
% 1.07/0.67 fof(f136,plain,(
% 1.07/0.67 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 1.07/0.67 inference(cnf_transformation,[status(thm)],[f135])).
% 1.07/0.67 fof(f137,plain,(
% 1.07/0.67 ![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))),
% 1.07/0.67 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 1.07/0.67 fof(f138,plain,(
% 1.07/0.67 ![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))),
% 1.07/0.67 inference(cnf_transformation,[status(thm)],[f137])).
% 1.07/0.67 fof(f139,plain,(
% 1.07/0.67 ![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))),
% 1.07/0.67 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 1.07/0.67 fof(f140,plain,(
% 1.07/0.67 ![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))),
% 1.07/0.67 inference(cnf_transformation,[status(thm)],[f139])).
% 1.07/0.67 fof(f143,plain,(
% 1.07/0.67 ![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))),
% 1.07/0.67 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 1.07/0.67 fof(f144,plain,(
% 1.07/0.67 ![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))),
% 1.07/0.67 inference(cnf_transformation,[status(thm)],[f143])).
% 1.07/0.67 fof(f184,plain,(
% 1.07/0.67 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 1.07/0.67 inference(pre_NNF_transformation,[status(thm)],[f39])).
% 1.07/0.67 fof(f185,plain,(
% 1.07/0.67 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 1.07/0.67 inference(miniscoping,[status(thm)],[f184])).
% 1.07/0.67 fof(f186,plain,(
% 1.07/0.67 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 1.07/0.67 inference(cnf_transformation,[status(thm)],[f185])).
% 1.07/0.67 fof(f187,plain,(
% 1.07/0.67 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 1.07/0.67 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 1.07/0.67 fof(f188,plain,(
% 1.07/0.67 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 1.07/0.67 inference(miniscoping,[status(thm)],[f187])).
% 1.07/0.67 fof(f189,plain,(
% 1.07/0.67 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 1.07/0.67 inference(cnf_transformation,[status(thm)],[f188])).
% 1.07/0.67 fof(f190,plain,(
% 1.07/0.67 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 1.07/0.67 inference(pre_NNF_transformation,[status(thm)],[f41])).
% 1.07/0.67 fof(f191,plain,(
% 1.07/0.67 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 1.07/0.67 inference(cnf_transformation,[status(thm)],[f190])).
% 1.07/0.67 fof(f194,plain,(
% 1.07/0.67 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 1.07/0.67 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 1.07/0.67 fof(f195,plain,(
% 1.07/0.67 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 1.07/0.67 inference(cnf_transformation,[status(thm)],[f194])).
% 1.07/0.67 fof(f196,plain,(
% 1.07/0.67 ![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))),
% 1.07/0.67 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 1.07/0.67 fof(f197,plain,(
% 1.07/0.67 ![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))),
% 1.07/0.67 inference(miniscoping,[status(thm)],[f196])).
% 1.07/0.67 fof(f198,plain,(
% 1.07/0.67 ![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))),
% 1.07/0.67 inference(cnf_transformation,[status(thm)],[f197])).
% 1.07/0.67 fof(f202,plain,(
% 1.07/0.67 ![A,B,C,E,F]: (((~midp(E,A,B)|~para(E,F,B,C))|~coll(F,A,C))|midp(F,A,C))),
% 1.07/0.67 inference(pre_NNF_transformation,[status(thm)],[f46])).
% 1.07/0.67 fof(f203,plain,(
% 1.07/0.67 ![A,C,F]: (((![B,E]: (~midp(E,A,B)|~para(E,F,B,C)))|~coll(F,A,C))|midp(F,A,C))),
% 1.07/0.67 inference(miniscoping,[status(thm)],[f202])).
% 1.07/0.67 fof(f204,plain,(
% 1.07/0.67 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X0,X3,X2,X4)|~coll(X3,X1,X4)|midp(X3,X1,X4))),
% 1.07/0.67 inference(cnf_transformation,[status(thm)],[f203])).
% 1.07/0.67 fof(f228,plain,(
% 1.07/0.67 ![A,B,M,O]: ((~midp(M,A,B)|~perp(O,M,A,B))|cong(O,A,O,B))),
% 1.07/0.67 inference(pre_NNF_transformation,[status(thm)],[f56])).
% 1.07/0.67 fof(f229,plain,(
% 1.07/0.67 ![A,B,O]: ((![M]: (~midp(M,A,B)|~perp(O,M,A,B)))|cong(O,A,O,B))),
% 1.07/0.67 inference(miniscoping,[status(thm)],[f228])).
% 1.07/0.67 fof(f230,plain,(
% 1.07/0.67 ![X0,X1,X2,X3]: (~midp(X0,X1,X2)|~perp(X3,X0,X1,X2)|cong(X3,X1,X3,X2))),
% 1.07/0.67 inference(cnf_transformation,[status(thm)],[f229])).
% 1.07/0.67 fof(f233,plain,(
% 1.07/0.67 ![A,B,P,Q]: (((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q))|perp(P,A,A,Q))),
% 1.07/0.67 inference(pre_NNF_transformation,[status(thm)],[f58])).
% 1.07/0.67 fof(f234,plain,(
% 1.07/0.67 ![A,P,Q]: ((![B]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q)))|perp(P,A,A,Q))),
% 1.07/0.67 inference(miniscoping,[status(thm)],[f233])).
% 1.07/0.67 fof(f235,plain,(
% 1.07/0.67 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|~cyclic(X0,X2,X1,X3)|perp(X1,X0,X0,X3))),
% 1.07/0.67 inference(cnf_transformation,[status(thm)],[f234])).
% 1.07/0.67 fof(f247,plain,(
% 1.07/0.67 ![A,B,C,D,M]: ((~midp(M,A,B)|~midp(M,C,D))|para(A,C,B,D))),
% 1.07/0.67 inference(pre_NNF_transformation,[status(thm)],[f64])).
% 1.07/0.67 fof(f248,plain,(
% 1.07/0.67 ![A,B,C,D]: ((![M]: (~midp(M,A,B)|~midp(M,C,D)))|para(A,C,B,D))),
% 1.07/0.67 inference(miniscoping,[status(thm)],[f247])).
% 1.07/0.67 fof(f249,plain,(
% 1.07/0.67 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~midp(X0,X3,X4)|para(X1,X3,X2,X4))),
% 1.07/0.67 inference(cnf_transformation,[status(thm)],[f248])).
% 1.07/0.67 fof(f255,plain,(
% 1.07/0.67 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 1.07/0.67 inference(pre_NNF_transformation,[status(thm)],[f67])).
% 1.07/0.67 fof(f256,plain,(
% 1.07/0.67 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 1.07/0.67 inference(cnf_transformation,[status(thm)],[f255])).
% 1.07/0.67 fof(f257,plain,(
% 1.07/0.67 ![A,B,C]: ((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))),
% 1.07/0.67 inference(pre_NNF_transformation,[status(thm)],[f68])).
% 1.07/0.67 fof(f258,plain,(
% 1.07/0.67 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|~coll(X0,X1,X2)|midp(X0,X1,X2))),
% 1.07/0.67 inference(cnf_transformation,[status(thm)],[f257])).
% 1.07/0.67 fof(f331,plain,(
% 1.07/0.67 ![A,B,C,O]: (?[P]: (~circle(O,A,B,C)|perp(P,A,A,O)))),
% 1.07/0.67 inference(pre_NNF_transformation,[status(thm)],[f87])).
% 1.07/0.67 fof(f332,plain,(
% 1.07/0.67 ![A,O]: ((![B,C]: ~circle(O,A,B,C))|(?[P]: perp(P,A,A,O)))),
% 1.07/0.67 inference(miniscoping,[status(thm)],[f331])).
% 1.07/0.67 fof(f333,plain,(
% 1.07/0.67 ![A,O]: ((![B,C]: ~circle(O,A,B,C))|perp(sK11_skl(O,A),A,A,O))),
% 1.07/0.67 inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl]),skolemize(P,sK11_skl(O,A))],[f332])).
% 1.07/0.67 fof(f334,plain,(
% 1.07/0.67 ![X0,X1,X2,X3]: (~circle(X0,X1,X2,X3)|perp(sK11_skl(X0,X1),X1,X1,X0))),
% 1.07/0.67 inference(cnf_transformation,[status(thm)],[f333])).
% 1.07/0.67 fof(f369,plain,(
% 1.07/0.67 (?[A,B,C,O,F,P,E,D,NWPNT1,NWPNT2]: ((((((circle(O,A,B,C)&circle(P,A,B,F))&circle(P,A,E,NWPNT1))&coll(E,A,C))&circle(O,B,D,NWPNT2))&coll(D,B,F))&~para(C,D,E,F)))),
% 1.07/0.67 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 1.07/0.67 fof(f370,plain,(
% 1.07/0.67 ?[C,F,E,D]: ((?[B]: ((?[O]: ((?[A]: ((?[P]: ((circle(O,A,B,C)&circle(P,A,B,F))&(?[NWPNT1]: circle(P,A,E,NWPNT1))))&coll(E,A,C)))&(?[NWPNT2]: circle(O,B,D,NWPNT2))))&coll(D,B,F)))&~para(C,D,E,F))),
% 1.07/0.67 inference(miniscoping,[status(thm)],[f369])).
% 1.07/0.67 fof(f371,plain,(
% 1.07/0.67 ((((((circle(sK25_skl,sK26_skl,sK24_skl,sK20_skl)&circle(sK27_skl,sK26_skl,sK24_skl,sK21_skl))&circle(sK27_skl,sK26_skl,sK22_skl,sK28_skl))&coll(sK22_skl,sK26_skl,sK20_skl))&circle(sK25_skl,sK24_skl,sK23_skl,sK29_skl))&coll(sK23_skl,sK24_skl,sK21_skl))&~para(sK20_skl,sK23_skl,sK22_skl,sK21_skl))),
% 1.07/0.67 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(C,sK20_skl),skolemize(F,sK21_skl),skolemize(E,sK22_skl),skolemize(D,sK23_skl),skolemize(B,sK24_skl),skolemize(O,sK25_skl),skolemize(A,sK26_skl),skolemize(P,sK27_skl),skolemize(NWPNT1,sK28_skl),skolemize(NWPNT2,sK29_skl)],[f370])).
% 1.07/0.67 fof(f374,plain,(
% 1.07/0.67 circle(sK27_skl,sK26_skl,sK22_skl,sK28_skl)),
% 1.07/0.67 inference(cnf_transformation,[status(thm)],[f371])).
% 1.07/0.67 fof(f378,plain,(
% 1.07/0.67 ~para(sK20_skl,sK23_skl,sK22_skl,sK21_skl)),
% 1.07/0.67 inference(cnf_transformation,[status(thm)],[f371])).
% 1.07/0.67 fof(f712,plain,(
% 1.07/0.67 perp(sK11_skl(sK27_skl,sK26_skl),sK26_skl,sK26_skl,sK27_skl)),
% 1.07/0.67 inference(resolution,[status(thm)],[f334,f374])).
% 1.07/0.67 fof(f717,plain,(
% 1.07/0.67 ![X0,X1]: (~perp(X0,X1,sK11_skl(sK27_skl,sK26_skl),sK26_skl)|para(X0,X1,sK26_skl,sK27_skl))),
% 1.07/0.67 inference(resolution,[status(thm)],[f712,f117])).
% 1.07/0.67 fof(f718,plain,(
% 1.07/0.67 perp(sK26_skl,sK27_skl,sK11_skl(sK27_skl,sK26_skl),sK26_skl)),
% 1.07/0.67 inference(resolution,[status(thm)],[f712,f114])).
% 1.07/0.67 fof(f795,plain,(
% 1.07/0.67 para(sK26_skl,sK27_skl,sK26_skl,sK27_skl)),
% 1.07/0.67 inference(resolution,[status(thm)],[f717,f718])).
% 1.07/0.67 fof(f805,plain,(
% 1.07/0.67 ![X0,X1]: (eqangle(sK26_skl,sK27_skl,X0,X1,sK26_skl,sK27_skl,X0,X1))),
% 1.07/0.67 inference(resolution,[status(thm)],[f795,f189])).
% 1.07/0.67 fof(f956,plain,(
% 1.07/0.67 ![X0,X1]: (eqangle(sK26_skl,sK27_skl,sK26_skl,sK27_skl,X0,X1,X0,X1))),
% 1.07/0.67 inference(resolution,[status(thm)],[f805,f144])).
% 1.07/0.67 fof(f958,plain,(
% 1.07/0.67 ![X0,X1]: (eqangle(X0,X1,sK26_skl,sK27_skl,X0,X1,sK26_skl,sK27_skl))),
% 1.07/0.67 inference(resolution,[status(thm)],[f805,f140])).
% 1.07/0.67 fof(f2200,plain,(
% 1.07/0.67 ![X0,X1]: (para(X0,X1,X0,X1))),
% 1.07/0.67 inference(resolution,[status(thm)],[f958,f186])).
% 1.07/0.67 fof(f2211,plain,(
% 1.07/0.67 ![X0,X1]: (coll(X0,X1,X1))),
% 1.07/0.67 inference(resolution,[status(thm)],[f2200,f256])).
% 1.07/0.67 fof(f2212,plain,(
% 1.07/0.67 ![X0,X1]: (para(X0,X1,X1,X0))),
% 1.07/0.67 inference(resolution,[status(thm)],[f2200,f105])).
% 1.07/0.67 fof(f2277,plain,(
% 1.07/0.67 ![X0,X1]: (coll(X0,X1,X0))),
% 1.07/0.67 inference(resolution,[status(thm)],[f2211,f100])).
% 1.07/0.67 fof(f2343,plain,(
% 1.07/0.67 ![X0,X1]: (coll(X0,X0,X1))),
% 1.07/0.67 inference(resolution,[status(thm)],[f2277,f98])).
% 1.07/0.67 fof(f2360,plain,(
% 1.07/0.67 ![X0,X1,X2]: (~coll(X0,X0,X1)|coll(X1,X2,X0))),
% 1.07/0.67 inference(resolution,[status(thm)],[f2343,f103])).
% 1.07/0.67 fof(f2363,plain,(
% 1.07/0.67 ![X0,X1,X2]: (coll(X0,X1,X2))),
% 1.07/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2360,f2343])).
% 1.07/0.67 fof(f2364,plain,(
% 1.07/0.67 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|midp(X0,X1,X2))),
% 1.07/0.67 inference(backward_subsumption_resolution,[status(thm)],[f258,f2363])).
% 1.07/0.67 fof(f2366,plain,(
% 1.07/0.67 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|cyclic(X1,X2,X0,X3))),
% 1.07/0.67 inference(backward_subsumption_resolution,[status(thm)],[f195,f2363])).
% 1.07/0.67 fof(f2369,plain,(
% 1.07/0.67 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X0,X3,X2,X4)|midp(X3,X1,X4))),
% 1.07/0.67 inference(backward_subsumption_resolution,[status(thm)],[f204,f2363])).
% 1.07/0.67 fof(f2408,plain,(
% 1.07/0.67 ![X0]: (cyclic(sK27_skl,sK27_skl,sK26_skl,X0))),
% 1.07/0.67 inference(resolution,[status(thm)],[f2366,f956])).
% 1.07/0.67 fof(f2428,plain,(
% 1.07/0.67 ![X0,X1]: (~cyclic(sK27_skl,sK27_skl,sK26_skl,X0)|cyclic(sK27_skl,sK26_skl,X0,X1))),
% 1.07/0.67 inference(resolution,[status(thm)],[f2408,f136])).
% 1.07/0.67 fof(f2432,plain,(
% 1.07/0.67 ![X0,X1]: (cyclic(sK27_skl,sK26_skl,X0,X1))),
% 1.07/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2428,f2408])).
% 1.07/0.67 fof(f2434,plain,(
% 1.07/0.67 ![X0,X1,X2]: (~cyclic(sK27_skl,sK26_skl,X0,X1)|cyclic(sK26_skl,X0,X1,X2))),
% 1.07/0.67 inference(resolution,[status(thm)],[f2432,f136])).
% 1.07/0.67 fof(f2438,plain,(
% 1.07/0.67 ![X0,X1,X2]: (cyclic(sK26_skl,X0,X1,X2))),
% 1.07/0.68 inference(forward_subsumption_resolution,[status(thm)],[f2434,f2432])).
% 1.07/0.68 fof(f2440,plain,(
% 1.07/0.68 ![X0,X1,X2,X3]: (~cyclic(sK26_skl,X0,X1,X2)|cyclic(X0,X1,X2,X3))),
% 1.07/0.68 inference(resolution,[status(thm)],[f2438,f136])).
% 1.07/0.68 fof(f2444,plain,(
% 1.07/0.68 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3))),
% 1.07/0.68 inference(forward_subsumption_resolution,[status(thm)],[f2440,f2438])).
% 1.07/0.68 fof(f2445,plain,(
% 1.07/0.68 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X1,X0,X0,X3))),
% 1.07/0.68 inference(backward_subsumption_resolution,[status(thm)],[f235,f2444])).
% 1.07/0.68 fof(f2447,plain,(
% 1.07/0.68 ![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))),
% 1.07/0.68 inference(backward_subsumption_resolution,[status(thm)],[f198,f2444])).
% 1.07/0.68 fof(f2448,plain,(
% 1.07/0.68 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2))),
% 1.07/0.68 inference(backward_subsumption_resolution,[status(thm)],[f191,f2444])).
% 1.07/0.68 fof(f2449,plain,(
% 1.07/0.68 ![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))),
% 1.07/0.68 inference(forward_subsumption_resolution,[status(thm)],[f2447,f2444])).
% 1.07/0.68 fof(f2519,plain,(
% 1.07/0.68 ![X0,X1,X2,X3]: (eqangle(X0,X1,X1,X2,X3,X0,X3,X2))),
% 1.07/0.68 inference(resolution,[status(thm)],[f2448,f138])).
% 1.07/0.68 fof(f2521,plain,(
% 1.07/0.68 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X2,X1,X0))),
% 1.07/0.68 inference(resolution,[status(thm)],[f2369,f2212])).
% 1.07/0.68 fof(f2686,plain,(
% 1.07/0.68 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X0,X2,X3,X4,X3,X5)|cong(X1,X2,X4,X5))),
% 1.07/0.68 inference(forward_subsumption_resolution,[status(thm)],[f2449,f2444])).
% 1.07/0.68 fof(f2687,plain,(
% 1.07/0.68 ![X0,X1]: (cong(X0,X1,X0,X1))),
% 1.07/0.68 inference(resolution,[status(thm)],[f2686,f2519])).
% 1.07/0.68 fof(f2695,plain,(
% 1.07/0.68 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X1,X0,X0,X2))),
% 1.07/0.68 inference(resolution,[status(thm)],[f2687,f2445])).
% 1.07/0.68 fof(f2696,plain,(
% 1.07/0.68 ![X0,X1]: (midp(X0,X1,X1))),
% 1.07/0.68 inference(resolution,[status(thm)],[f2687,f2364])).
% 1.07/0.68 fof(f2703,plain,(
% 1.07/0.68 ![X0,X1,X2]: (perp(X0,X1,X1,X2))),
% 1.07/0.68 inference(forward_subsumption_resolution,[status(thm)],[f2695,f2687])).
% 1.07/0.68 fof(f2709,plain,(
% 1.07/0.68 ![X0,X1]: (midp(X0,X0,X1))),
% 1.07/0.68 inference(resolution,[status(thm)],[f2696,f2521])).
% 1.07/0.68 fof(f2790,plain,(
% 1.07/0.68 ![X0,X1,X2]: (~midp(X0,X0,X1)|cong(X2,X0,X2,X1))),
% 1.07/0.68 inference(resolution,[status(thm)],[f2703,f230])).
% 1.07/0.68 fof(f2794,plain,(
% 1.07/0.68 ![X0,X1,X2]: (cong(X0,X1,X0,X2))),
% 1.07/0.68 inference(forward_subsumption_resolution,[status(thm)],[f2790,f2709])).
% 1.07/0.68 fof(f2851,plain,(
% 1.07/0.68 ![X0,X1,X2]: (midp(X0,X1,X2))),
% 1.07/0.68 inference(backward_subsumption_resolution,[status(thm)],[f2364,f2794])).
% 1.07/0.68 fof(f2862,plain,(
% 1.07/0.68 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|para(X3,X1,X4,X2))),
% 1.07/0.68 inference(backward_subsumption_resolution,[status(thm)],[f249,f2851])).
% 1.07/0.68 fof(f2875,plain,(
% 1.07/0.68 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3))),
% 1.07/0.68 inference(forward_subsumption_resolution,[status(thm)],[f2862,f2851])).
% 1.07/0.68 fof(f2928,plain,(
% 1.07/0.68 $false),
% 1.07/0.68 inference(backward_subsumption_resolution,[status(thm)],[f378,f2875])).
% 1.07/0.68 % SZS output end CNFRefutation for theBenchmark.p
% 0.29/0.69 % Elapsed time: 0.308954 seconds
% 0.29/0.69 % CPU time: 2.149999 seconds
% 0.29/0.69 % Total memory used: 103.350 MB
% 0.29/0.69 % Net memory used: 101.305 MB
%------------------------------------------------------------------------------