%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO586+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 : n019.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 0.13s 5.63s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO586+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
% 0.09/5.36 % Computer : n019.cluster.edu
% 0.09/5.36 % Model : x86_64 x86_64
% 0.09/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36 % Memory : 8046.5625MB
% 0.09/5.36 % OS : Linux 6.8.0-71-generic
% 0.09/5.36 % CPULimit : 300
% 0.09/5.36 % WCLimit : 300
% 0.09/5.36 % DateTime : Sun Sep 20 17:40:10 UTC 2026
% 0.09/5.36 % CPUTime :
% 0.09/5.38 % Drodi V4.1.1
% 0.13/5.63 % Refutation found
% 0.13/5.63 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/5.63 % SZS output start CNFRefutation for theBenchmark
% 0.13/5.63 fof(f4,axiom,(
% 0.13/5.63 (! [A,B,C,D] :( para(A,B,C,D)=> para(A,B,D,C) ) )),
% 0.13/5.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.63 fof(f5,axiom,(
% 0.13/5.63 (! [A,B,C,D] :( para(A,B,C,D)=> para(C,D,A,B) ) )),
% 0.13/5.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.63 fof(f8,axiom,(
% 0.13/5.63 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 0.13/5.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.63 fof(f9,axiom,(
% 0.13/5.63 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 0.13/5.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.63 fof(f10,axiom,(
% 0.13/5.63 (! [A,B,C,D,E,F] :( ( para(A,B,C,D)& perp(C,D,E,F) )=> perp(A,B,E,F) ) )),
% 0.13/5.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.63 fof(f11,axiom,(
% 0.13/5.63 (! [A,B,M] :( midp(M,B,A)=> midp(M,A,B) ) )),
% 0.13/5.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.63 fof(f12,axiom,(
% 0.13/5.63 (! [A,B,C,O] :( ( cong(O,A,O,B)& cong(O,A,O,C) )=> circle(O,A,B,C) ) )),
% 0.13/5.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.63 fof(f19,axiom,(
% 0.13/5.63 (! [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) ) )),
% 0.13/5.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.63 fof(f21,axiom,(
% 0.13/5.63 (! [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) ) )),
% 0.13/5.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.63 fof(f39,axiom,(
% 0.13/5.63 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 0.13/5.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.63 fof(f40,axiom,(
% 0.13/5.63 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 0.13/5.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.63 fof(f42,axiom,(
% 0.13/5.63 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& ~ coll(P,Q,A) )=> cyclic(A,B,P,Q) ) )),
% 0.13/5.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.63 fof(f43,axiom,(
% 0.13/5.63 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 0.13/5.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.63 fof(f44,axiom,(
% 0.13/5.63 (! [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) ) )),
% 0.13/5.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.63 fof(f52,axiom,(
% 0.13/5.63 (! [A,B,C,O,M] :( ( circle(O,A,B,C)& coll(M,B,C)& eqangle(A,B,A,C,O,B,O,M) )=> midp(M,B,C) ) )),
% 0.13/5.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.63 fof(f57,axiom,(
% 0.13/5.63 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 0.13/5.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.63 fof(f65,axiom,(
% 0.13/5.63 (! [A,B,C,D,M] :( ( midp(M,A,B)& para(A,C,B,D)& para(A,D,B,C) )=> midp(M,C,D) ) )),
% 0.13/5.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.63 fof(f67,axiom,(
% 0.13/5.63 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 0.13/5.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.63 fof(f69,axiom,(
% 0.13/5.63 (! [A,B,C] :( midp(A,B,C)=> cong(A,B,A,C) ) )),
% 0.13/5.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.63 fof(f87,axiom,(
% 0.13/5.63 (! [A,B,C,O] :(? [P] :( circle(O,A,B,C)=> perp(P,A,A,O) ) ))),
% 0.13/5.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.63 fof(f95,conjecture,(
% 0.13/5.63 (! [A,B,C,O,D,E,I,NWPNT1] :( ( circle(O,A,B,C)& circle(O,A,D,NWPNT1)& coll(E,A,C)& coll(E,B,D)& circle(I,A,B,E) )=> perp(I,E,C,D) ) )),
% 0.13/5.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.63 fof(f96,negated_conjecture,(
% 0.13/5.63 ~((! [A,B,C,O,D,E,I,NWPNT1] :( ( circle(O,A,B,C)& circle(O,A,D,NWPNT1)& coll(E,A,C)& coll(E,B,D)& circle(I,A,B,E) )=> perp(I,E,C,D) ) ))),
% 0.13/5.63 inference(negated_conjecture,[status(cth)],[f95])).
% 0.13/5.63 fof(f104,plain,(
% 0.13/5.63 ![A,B,C,D]: (~para(A,B,C,D)|para(A,B,D,C))),
% 0.13/5.63 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.13/5.63 fof(f105,plain,(
% 0.13/5.63 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X0,X1,X3,X2))),
% 0.13/5.63 inference(cnf_transformation,[status(thm)],[f104])).
% 0.13/5.63 fof(f106,plain,(
% 0.13/5.63 ![A,B,C,D]: (~para(A,B,C,D)|para(C,D,A,B))),
% 0.13/5.63 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.13/5.63 fof(f107,plain,(
% 0.13/5.63 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X2,X3,X0,X1))),
% 0.13/5.63 inference(cnf_transformation,[status(thm)],[f106])).
% 0.13/5.63 fof(f113,plain,(
% 0.13/5.63 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 0.13/5.63 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.13/5.63 fof(f114,plain,(
% 0.13/5.63 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 0.13/5.63 inference(cnf_transformation,[status(thm)],[f113])).
% 0.13/5.63 fof(f115,plain,(
% 0.13/5.63 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 0.13/5.63 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.13/5.63 fof(f116,plain,(
% 0.13/5.63 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 0.13/5.63 inference(miniscoping,[status(thm)],[f115])).
% 0.13/5.63 fof(f117,plain,(
% 0.13/5.63 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 0.13/5.63 inference(cnf_transformation,[status(thm)],[f116])).
% 0.13/5.63 fof(f118,plain,(
% 0.13/5.63 ![A,B,C,D,E,F]: ((~para(A,B,C,D)|~perp(C,D,E,F))|perp(A,B,E,F))),
% 0.13/5.63 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.13/5.63 fof(f119,plain,(
% 0.13/5.63 ![A,B,E,F]: ((![C,D]: (~para(A,B,C,D)|~perp(C,D,E,F)))|perp(A,B,E,F))),
% 0.13/5.63 inference(miniscoping,[status(thm)],[f118])).
% 0.13/5.63 fof(f120,plain,(
% 0.13/5.63 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|perp(X0,X1,X4,X5))),
% 0.13/5.63 inference(cnf_transformation,[status(thm)],[f119])).
% 0.13/5.63 fof(f121,plain,(
% 0.13/5.63 ![A,B,M]: (~midp(M,B,A)|midp(M,A,B))),
% 0.13/5.63 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 0.13/5.63 fof(f122,plain,(
% 0.13/5.63 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X0,X2,X1))),
% 0.13/5.63 inference(cnf_transformation,[status(thm)],[f121])).
% 0.13/5.63 fof(f123,plain,(
% 0.13/5.63 ![A,B,C,O]: ((~cong(O,A,O,B)|~cong(O,A,O,C))|circle(O,A,B,C))),
% 0.13/5.63 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 0.13/5.63 fof(f124,plain,(
% 0.13/5.63 ![X0,X1,X2,X3]: (~cong(X0,X1,X0,X2)|~cong(X0,X1,X0,X3)|circle(X0,X1,X2,X3))),
% 0.13/5.63 inference(cnf_transformation,[status(thm)],[f123])).
% 0.13/5.63 fof(f139,plain,(
% 0.13/5.63 ![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))),
% 0.13/5.63 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 0.13/5.63 fof(f140,plain,(
% 0.13/5.63 ![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))),
% 0.13/5.63 inference(cnf_transformation,[status(thm)],[f139])).
% 0.13/5.63 fof(f143,plain,(
% 0.13/5.63 ![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))),
% 0.13/5.63 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 0.13/5.63 fof(f144,plain,(
% 0.13/5.63 ![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))),
% 0.13/5.63 inference(cnf_transformation,[status(thm)],[f143])).
% 0.13/5.63 fof(f184,plain,(
% 0.13/5.63 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 0.13/5.63 inference(pre_NNF_transformation,[status(thm)],[f39])).
% 0.13/5.63 fof(f185,plain,(
% 0.13/5.63 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 0.13/5.63 inference(miniscoping,[status(thm)],[f184])).
% 0.13/5.63 fof(f186,plain,(
% 0.13/5.63 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 0.13/5.63 inference(cnf_transformation,[status(thm)],[f185])).
% 0.13/5.63 fof(f187,plain,(
% 0.13/5.63 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 0.13/5.63 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 0.13/5.63 fof(f188,plain,(
% 0.13/5.63 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 0.13/5.63 inference(miniscoping,[status(thm)],[f187])).
% 0.13/5.63 fof(f189,plain,(
% 0.13/5.63 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 0.13/5.63 inference(cnf_transformation,[status(thm)],[f188])).
% 0.13/5.63 fof(f192,plain,(
% 0.13/5.63 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|coll(P,Q,A))|cyclic(A,B,P,Q))),
% 0.13/5.63 inference(pre_NNF_transformation,[status(thm)],[f42])).
% 0.13/5.63 fof(f193,plain,(
% 0.13/5.63 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|coll(X0,X3,X1)|cyclic(X1,X2,X0,X3))),
% 0.13/5.63 inference(cnf_transformation,[status(thm)],[f192])).
% 0.13/5.63 fof(f194,plain,(
% 0.13/5.63 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 0.13/5.63 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 0.13/5.63 fof(f195,plain,(
% 0.13/5.63 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 0.13/5.63 inference(cnf_transformation,[status(thm)],[f194])).
% 0.13/5.63 fof(f196,plain,(
% 0.13/5.63 ![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))),
% 0.13/5.63 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 0.13/5.63 fof(f197,plain,(
% 0.13/5.63 ![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))),
% 0.13/5.63 inference(miniscoping,[status(thm)],[f196])).
% 0.13/5.63 fof(f198,plain,(
% 0.13/5.63 ![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))),
% 0.13/5.63 inference(cnf_transformation,[status(thm)],[f197])).
% 0.13/5.63 fof(f217,plain,(
% 0.13/5.63 ![A,B,C,O,M]: (((~circle(O,A,B,C)|~coll(M,B,C))|~eqangle(A,B,A,C,O,B,O,M))|midp(M,B,C))),
% 0.13/5.63 inference(pre_NNF_transformation,[status(thm)],[f52])).
% 0.13/5.63 fof(f218,plain,(
% 0.13/5.63 ![B,C,M]: ((![A,O]: ((~circle(O,A,B,C)|~coll(M,B,C))|~eqangle(A,B,A,C,O,B,O,M)))|midp(M,B,C))),
% 0.13/5.63 inference(miniscoping,[status(thm)],[f217])).
% 0.13/5.63 fof(f219,plain,(
% 0.13/5.63 ![X0,X1,X2,X3,X4]: (~circle(X0,X1,X2,X3)|~coll(X4,X2,X3)|~eqangle(X1,X2,X1,X3,X0,X2,X0,X4)|midp(X4,X2,X3))),
% 0.13/5.63 inference(cnf_transformation,[status(thm)],[f218])).
% 0.13/5.63 fof(f231,plain,(
% 0.13/5.63 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 0.13/5.63 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 0.13/5.63 fof(f232,plain,(
% 0.13/5.63 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 0.13/5.63 inference(cnf_transformation,[status(thm)],[f231])).
% 0.13/5.63 fof(f250,plain,(
% 0.13/5.63 ![A,B,C,D,M]: (((~midp(M,A,B)|~para(A,C,B,D))|~para(A,D,B,C))|midp(M,C,D))),
% 0.13/5.63 inference(pre_NNF_transformation,[status(thm)],[f65])).
% 0.13/5.63 fof(f251,plain,(
% 0.13/5.63 ![C,D,M]: ((![A,B]: ((~midp(M,A,B)|~para(A,C,B,D))|~para(A,D,B,C)))|midp(M,C,D))),
% 0.13/5.63 inference(miniscoping,[status(thm)],[f250])).
% 0.13/5.63 fof(f252,plain,(
% 0.13/5.63 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X1,X3,X2,X4)|~para(X1,X4,X2,X3)|midp(X0,X3,X4))),
% 0.13/5.63 inference(cnf_transformation,[status(thm)],[f251])).
% 0.13/5.63 fof(f255,plain,(
% 0.13/5.63 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 0.13/5.63 inference(pre_NNF_transformation,[status(thm)],[f67])).
% 0.13/5.63 fof(f256,plain,(
% 0.13/5.63 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 0.13/5.63 inference(cnf_transformation,[status(thm)],[f255])).
% 0.13/5.63 fof(f259,plain,(
% 0.13/5.63 ![A,B,C]: (~midp(A,B,C)|cong(A,B,A,C))),
% 0.13/5.63 inference(pre_NNF_transformation,[status(thm)],[f69])).
% 0.13/5.63 fof(f260,plain,(
% 0.13/5.63 ![X0,X1,X2]: (~midp(X0,X1,X2)|cong(X0,X1,X0,X2))),
% 0.13/5.63 inference(cnf_transformation,[status(thm)],[f259])).
% 0.13/5.63 fof(f331,plain,(
% 0.13/5.63 ![A,B,C,O]: (?[P]: (~circle(O,A,B,C)|perp(P,A,A,O)))),
% 0.13/5.63 inference(pre_NNF_transformation,[status(thm)],[f87])).
% 0.13/5.63 fof(f332,plain,(
% 0.13/5.63 ![A,O]: ((![B,C]: ~circle(O,A,B,C))|(?[P]: perp(P,A,A,O)))),
% 0.13/5.63 inference(miniscoping,[status(thm)],[f331])).
% 0.13/5.63 fof(f333,plain,(
% 0.13/5.63 ![A,O]: ((![B,C]: ~circle(O,A,B,C))|perp(sK11_skl(O,A),A,A,O))),
% 0.13/5.63 inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl]),skolemize(P,sK11_skl(O,A))],[f332])).
% 0.13/5.63 fof(f334,plain,(
% 0.13/5.63 ![X0,X1,X2,X3]: (~circle(X0,X1,X2,X3)|perp(sK11_skl(X0,X1),X1,X1,X0))),
% 0.13/5.63 inference(cnf_transformation,[status(thm)],[f333])).
% 0.13/5.63 fof(f369,plain,(
% 0.13/5.63 (?[A,B,C,O,D,E,I,NWPNT1]: (((((circle(O,A,B,C)&circle(O,A,D,NWPNT1))&coll(E,A,C))&coll(E,B,D))&circle(I,A,B,E))&~perp(I,E,C,D)))),
% 0.13/5.63 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 0.13/5.63 fof(f370,plain,(
% 0.13/5.63 ?[C,D,E,I]: ((?[A,B]: ((((?[O]: (circle(O,A,B,C)&(?[NWPNT1]: circle(O,A,D,NWPNT1))))&coll(E,A,C))&coll(E,B,D))&circle(I,A,B,E)))&~perp(I,E,C,D))),
% 0.13/5.63 inference(miniscoping,[status(thm)],[f369])).
% 0.13/5.63 fof(f371,plain,(
% 0.13/5.63 (((((circle(sK26_skl,sK24_skl,sK25_skl,sK20_skl)&circle(sK26_skl,sK24_skl,sK21_skl,sK27_skl))&coll(sK22_skl,sK24_skl,sK20_skl))&coll(sK22_skl,sK25_skl,sK21_skl))&circle(sK23_skl,sK24_skl,sK25_skl,sK22_skl))&~perp(sK23_skl,sK22_skl,sK20_skl,sK21_skl))),
% 0.13/5.63 inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl,sK21_skl,sK22_skl,sK23_skl,sK24_skl,sK25_skl,sK26_skl,sK27_skl]),skolemize(C,sK20_skl),skolemize(D,sK21_skl),skolemize(E,sK22_skl),skolemize(I,sK23_skl),skolemize(A,sK24_skl),skolemize(B,sK25_skl),skolemize(O,sK26_skl),skolemize(NWPNT1,sK27_skl)],[f370])).
% 0.13/5.63 fof(f373,plain,(
% 0.13/5.63 circle(sK26_skl,sK24_skl,sK21_skl,sK27_skl)),
% 0.13/5.63 inference(cnf_transformation,[status(thm)],[f371])).
% 0.13/5.63 fof(f377,plain,(
% 0.13/5.63 ~perp(sK23_skl,sK22_skl,sK20_skl,sK21_skl)),
% 0.13/5.63 inference(cnf_transformation,[status(thm)],[f371])).
% 0.13/5.63 fof(f381,plain,(
% 0.13/5.63 ![X0,X1,X2]: (coll(X0,X1,X2)|~para(X0,X2,X0,X1))),
% 0.13/5.63 inference(resolution,[status(thm)],[f256,f107])).
% 0.13/5.63 fof(f383,plain,(
% 0.13/5.63 ![X0,X1,X2]: (cong(X0,X1,X0,X2)|~midp(X0,X2,X1))),
% 0.13/5.63 inference(resolution,[status(thm)],[f260,f122])).
% 0.13/5.63 fof(f397,plain,(
% 0.13/5.63 ![X0,X1,X2]: (coll(X0,X1,X2)|~para(X0,X2,X1,X0))),
% 0.13/5.63 inference(resolution,[status(thm)],[f381,f105])).
% 0.13/5.63 fof(f416,plain,(
% 0.13/5.63 ![X0,X1,X2]: (coll(X0,X1,X2)|~para(X1,X0,X0,X2))),
% 0.13/5.63 inference(resolution,[status(thm)],[f397,f107])).
% 0.13/5.63 fof(f423,plain,(
% 0.13/5.63 ![X0,X1,X2]: (coll(X0,X1,X2)|~para(X1,X0,X2,X0))),
% 0.13/5.63 inference(resolution,[status(thm)],[f416,f105])).
% 0.13/5.63 fof(f467,plain,(
% 0.13/5.63 perp(sK11_skl(sK26_skl,sK24_skl),sK24_skl,sK24_skl,sK26_skl)),
% 0.13/5.63 inference(resolution,[status(thm)],[f334,f373])).
% 0.13/5.63 fof(f475,plain,(
% 0.13/5.63 ![X0,X1]: (~perp(X0,X1,sK11_skl(sK26_skl,sK24_skl),sK24_skl)|para(X0,X1,sK24_skl,sK26_skl))),
% 0.13/5.63 inference(resolution,[status(thm)],[f467,f117])).
% 0.13/5.63 fof(f477,plain,(
% 0.13/5.63 perp(sK24_skl,sK26_skl,sK11_skl(sK26_skl,sK24_skl),sK24_skl)),
% 0.13/5.63 inference(resolution,[status(thm)],[f467,f114])).
% 0.13/5.63 fof(f510,plain,(
% 0.13/5.63 para(sK24_skl,sK26_skl,sK24_skl,sK26_skl)),
% 0.13/5.63 inference(resolution,[status(thm)],[f475,f477])).
% 0.13/5.63 fof(f580,plain,(
% 0.13/5.63 ![X0,X1]: (eqangle(sK24_skl,sK26_skl,X0,X1,sK24_skl,sK26_skl,X0,X1))),
% 0.13/5.63 inference(resolution,[status(thm)],[f189,f510])).
% 0.13/5.63 fof(f604,plain,(
% 0.13/5.63 ![X0,X1]: (eqangle(X0,X1,sK24_skl,sK26_skl,X0,X1,sK24_skl,sK26_skl))),
% 0.13/5.63 inference(resolution,[status(thm)],[f580,f140])).
% 0.13/5.63 fof(f731,plain,(
% 0.13/5.63 ![X0,X1]: (para(X0,X1,X0,X1))),
% 0.13/5.63 inference(resolution,[status(thm)],[f604,f186])).
% 0.13/5.63 fof(f742,plain,(
% 0.13/5.63 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X3,X0,X1,X2,X3))),
% 0.13/5.63 inference(resolution,[status(thm)],[f731,f189])).
% 0.13/5.63 fof(f743,plain,(
% 0.13/5.63 ![X0,X1]: (coll(X0,X1,X1))),
% 0.13/5.63 inference(resolution,[status(thm)],[f731,f423])).
% 0.13/5.63 fof(f780,plain,(
% 0.13/5.63 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X1,X2,X3,X2,X3))),
% 0.13/5.63 inference(resolution,[status(thm)],[f742,f144])).
% 0.13/5.63 fof(f787,plain,(
% 0.13/5.63 ![X0,X1,X2,X3]: (~cyclic(X0,X0,X1,X2)|~cyclic(X0,X0,X1,X2)|~cyclic(X0,X0,X1,X3)|cong(X0,X0,X2,X2))),
% 0.13/5.63 inference(resolution,[status(thm)],[f780,f198])).
% 0.13/5.63 fof(f788,plain,(
% 0.13/5.63 ![X0,X1,X2]: (~coll(X0,X1,X2)|cyclic(X2,X2,X0,X1))),
% 0.13/5.63 inference(resolution,[status(thm)],[f780,f195])).
% 0.13/5.63 fof(f789,plain,(
% 0.13/5.63 ![X0,X1,X2]: (coll(X0,X1,X2)|cyclic(X2,X2,X0,X1))),
% 0.13/5.63 inference(resolution,[status(thm)],[f780,f193])).
% 0.13/5.63 fof(f796,plain,(
% 0.13/5.63 ![X0,X1,X2]: (~circle(X0,X1,X2,X2)|~coll(X2,X2,X2)|midp(X2,X2,X2))),
% 0.13/5.63 inference(resolution,[status(thm)],[f780,f219])).
% 0.13/5.63 fof(f798,plain,(
% 0.13/5.63 ![X0,X1,X2,X3]: (~cyclic(X0,X0,X1,X2)|~cyclic(X0,X0,X1,X3)|cong(X0,X0,X2,X2))),
% 0.13/5.63 inference(duplicate_literals_removal,[status(thm)],[f787])).
% 0.13/5.63 fof(f799,plain,(
% 0.13/5.63 ![X0,X1,X2]: (~cyclic(X0,X0,X1,X2)|cong(X0,X0,X2,X2))),
% 0.13/5.63 inference(backward_subsumption_resolution,[status(thm)],[f798,f800])).
% 0.13/5.63 fof(f800,plain,(
% 0.13/5.63 ![X0,X1,X2]: (cyclic(X0,X0,X1,X2))),
% 0.13/5.63 inference(forward_subsumption_resolution,[status(thm)],[f789,f788])).
% 0.13/5.63 fof(f801,plain,(
% 0.13/5.63 ![X0,X1,X2]: (~circle(X0,X1,X2,X2)|midp(X2,X2,X2))),
% 0.13/5.63 inference(forward_subsumption_resolution,[status(thm)],[f796,f743])).
% 0.13/5.63 fof(f802,plain,(
% 0.13/5.63 ![X0,X1]: (cong(X0,X0,X1,X1))),
% 0.13/5.63 inference(forward_subsumption_resolution,[status(thm)],[f799,f800])).
% 0.13/5.63 fof(f819,plain,(
% 0.13/5.63 ![X0,X1]: (~cong(X0,X0,X0,X1)|circle(X0,X0,X1,X0))),
% 0.13/5.63 inference(resolution,[status(thm)],[f802,f124])).
% 0.13/5.63 fof(f986,plain,(
% 0.13/5.63 ![X0]: (circle(X0,X0,X0,X0))),
% 0.13/5.63 inference(resolution,[status(thm)],[f819,f802])).
% 0.13/5.63 fof(f989,plain,(
% 0.13/5.63 ![X0]: (midp(X0,X0,X0))),
% 0.13/5.63 inference(resolution,[status(thm)],[f986,f801])).
% 0.13/5.63 fof(f992,plain,(
% 0.13/5.63 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|~para(X0,X2,X0,X1)|midp(X0,X1,X2))),
% 0.13/5.63 inference(resolution,[status(thm)],[f989,f252])).
% 0.13/5.63 fof(f1004,plain,(
% 0.13/5.63 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|midp(X0,X2,X1))),
% 0.13/5.63 inference(forward_subsumption_resolution,[status(thm)],[f992,f107])).
% 0.13/5.63 fof(f1036,plain,(
% 0.13/5.63 ![X0,X1]: (midp(X0,X1,X1))),
% 0.13/5.63 inference(resolution,[status(thm)],[f1004,f731])).
% 0.13/5.63 fof(f1047,plain,(
% 0.13/5.63 ![X0,X1]: (cong(X0,X1,X0,X1))),
% 0.13/5.63 inference(resolution,[status(thm)],[f1036,f383])).
% 0.13/5.63 fof(f1085,plain,(
% 0.13/5.63 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X0,X0,X1,X2))),
% 0.13/5.63 inference(resolution,[status(thm)],[f1047,f232])).
% 0.13/5.63 fof(f1092,plain,(
% 0.13/5.63 ![X0,X1,X2]: (perp(X0,X0,X1,X2))),
% 0.13/5.63 inference(forward_subsumption_resolution,[status(thm)],[f1085,f1047])).
% 0.13/5.63 fof(f1129,plain,(
% 0.13/5.63 ![X0,X1,X2,X3,X4]: (~para(X0,X1,X2,X2)|perp(X0,X1,X3,X4))),
% 0.13/5.63 inference(resolution,[status(thm)],[f1092,f120])).
% 0.13/5.64 fof(f1130,plain,(
% 0.13/5.64 ![X0,X1,X2,X3,X4]: (~perp(X0,X1,X2,X2)|para(X0,X1,X3,X4))),
% 0.13/5.64 inference(resolution,[status(thm)],[f1092,f117])).
% 0.13/5.64 fof(f1132,plain,(
% 0.13/5.64 ![X0,X1,X2]: (perp(X0,X1,X2,X2))),
% 0.13/5.64 inference(resolution,[status(thm)],[f1092,f114])).
% 0.13/5.64 fof(f1134,plain,(
% 0.13/5.64 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3))),
% 0.13/5.64 inference(backward_subsumption_resolution,[status(thm)],[f1130,f1132])).
% 0.13/5.64 fof(f1189,plain,(
% 0.13/5.64 ![X0,X1,X2,X3]: (perp(X0,X1,X2,X3))),
% 0.13/5.64 inference(backward_subsumption_resolution,[status(thm)],[f1129,f1134])).
% 0.13/5.64 fof(f1315,plain,(
% 0.13/5.64 $false),
% 0.13/5.64 inference(backward_subsumption_resolution,[status(thm)],[f377,f1189])).
% 0.13/5.64 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/5.66 % Elapsed time: 0.281014 seconds
% 0.13/5.66 % CPU time: 2.031608 seconds
% 0.13/5.66 % Total memory used: 105.947 MB
% 0.13/5.66 % Net memory used: 103.659 MB
%------------------------------------------------------------------------------