%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO589+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 12:26:41 PM UTC 2026
% Result : Theorem 0.09s 0.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO589+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n003.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 17:41:15 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.49 % Refutation found
% 0.09/0.49 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.49 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.49 fof(f1,axiom,(
% 0.09/0.49 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 0.09/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.49 fof(f2,axiom,(
% 0.09/0.49 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 0.09/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.49 fof(f3,axiom,(
% 0.09/0.49 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 0.09/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.49 fof(f4,axiom,(
% 0.09/0.49 (! [A,B,C,D] :( para(A,B,C,D)=> para(A,B,D,C) ) )),
% 0.09/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.49 fof(f6,axiom,(
% 0.09/0.49 (! [A,B,C,D,E,F] :( ( para(A,B,C,D)& para(C,D,E,F) )=> para(A,B,E,F) ) )),
% 0.09/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.49 fof(f7,axiom,(
% 0.09/0.49 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(A,B,D,C) ) )),
% 0.09/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.49 fof(f8,axiom,(
% 0.09/0.49 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 0.09/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.49 fof(f9,axiom,(
% 0.09/0.49 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 0.09/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.49 fof(f17,axiom,(
% 0.09/0.49 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 0.09/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.49 fof(f19,axiom,(
% 0.09/0.49 (! [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) ) )),
% 0.09/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.49 fof(f21,axiom,(
% 0.09/0.49 (! [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) ) )),
% 0.09/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.49 fof(f39,axiom,(
% 0.09/0.49 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 0.09/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.49 fof(f40,axiom,(
% 0.09/0.49 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 0.09/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.49 fof(f41,axiom,(
% 0.09/0.49 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 0.09/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.49 fof(f43,axiom,(
% 0.09/0.49 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 0.09/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.49 fof(f44,axiom,(
% 0.09/0.49 (! [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) ) )),
% 0.09/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.49 fof(f53,axiom,(
% 0.09/0.49 (! [A,B,C,M] :( ( perp(A,B,B,C)& midp(M,A,C) )=> cong(A,M,B,M) ) )),
% 0.09/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.49 fof(f57,axiom,(
% 0.09/0.49 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 0.09/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.49 fof(f58,axiom,(
% 0.09/0.49 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q)& cyclic(A,B,P,Q) )=> perp(P,A,A,Q) ) )),
% 0.09/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.49 fof(f67,axiom,(
% 0.09/0.49 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 0.09/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.49 fof(f68,axiom,(
% 0.09/0.49 (! [A,B,C] :( ( cong(A,B,A,C)& coll(A,B,C) )=> midp(A,B,C) ) )),
% 0.09/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.49 fof(f95,conjecture,(
% 0.09/0.49 (! [A,B,C,O,D,E,NWPNT1,NWPNT2] :( ( circle(O,A,B,C)& perp(A,C,B,D)& circle(O,A,D,NWPNT1)& circle(O,D,E,NWPNT2)& coll(E,D,O) )=> para(B,E,A,C) ) )),
% 0.09/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.49 fof(f96,negated_conjecture,(
% 0.09/0.49 ~((! [A,B,C,O,D,E,NWPNT1,NWPNT2] :( ( circle(O,A,B,C)& perp(A,C,B,D)& circle(O,A,D,NWPNT1)& circle(O,D,E,NWPNT2)& coll(E,D,O) )=> para(B,E,A,C) ) ))),
% 0.09/0.49 inference(negated_conjecture,[status(cth)],[f95])).
% 0.09/0.49 fof(f97,plain,(
% 0.09/0.49 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 0.09/0.49 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.09/0.49 fof(f98,plain,(
% 0.09/0.49 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 0.09/0.49 inference(cnf_transformation,[status(thm)],[f97])).
% 0.09/0.49 fof(f99,plain,(
% 0.09/0.49 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 0.09/0.49 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.09/0.49 fof(f100,plain,(
% 0.09/0.49 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 0.09/0.49 inference(cnf_transformation,[status(thm)],[f99])).
% 0.09/0.49 fof(f101,plain,(
% 0.09/0.49 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 0.09/0.49 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.09/0.49 fof(f102,plain,(
% 0.09/0.49 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 0.09/0.49 inference(miniscoping,[status(thm)],[f101])).
% 0.09/0.49 fof(f103,plain,(
% 0.09/0.49 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 0.09/0.49 inference(cnf_transformation,[status(thm)],[f102])).
% 0.09/0.49 fof(f104,plain,(
% 0.09/0.49 ![A,B,C,D]: (~para(A,B,C,D)|para(A,B,D,C))),
% 0.09/0.49 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.09/0.49 fof(f105,plain,(
% 0.09/0.49 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X0,X1,X3,X2))),
% 0.09/0.49 inference(cnf_transformation,[status(thm)],[f104])).
% 0.09/0.49 fof(f108,plain,(
% 0.09/0.49 ![A,B,C,D,E,F]: ((~para(A,B,C,D)|~para(C,D,E,F))|para(A,B,E,F))),
% 0.09/0.49 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.09/0.49 fof(f109,plain,(
% 0.09/0.49 ![A,B,E,F]: ((![C,D]: (~para(A,B,C,D)|~para(C,D,E,F)))|para(A,B,E,F))),
% 0.09/0.49 inference(miniscoping,[status(thm)],[f108])).
% 0.09/0.49 fof(f110,plain,(
% 0.09/0.49 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|~para(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 0.09/0.49 inference(cnf_transformation,[status(thm)],[f109])).
% 0.09/0.49 fof(f111,plain,(
% 0.09/0.49 ![A,B,C,D]: (~perp(A,B,C,D)|perp(A,B,D,C))),
% 0.09/0.49 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.09/0.49 fof(f112,plain,(
% 0.09/0.49 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X0,X1,X3,X2))),
% 0.09/0.49 inference(cnf_transformation,[status(thm)],[f111])).
% 0.09/0.49 fof(f113,plain,(
% 0.09/0.49 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 0.09/0.49 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.09/0.49 fof(f114,plain,(
% 0.09/0.49 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 0.09/0.49 inference(cnf_transformation,[status(thm)],[f113])).
% 0.09/0.49 fof(f115,plain,(
% 0.09/0.49 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 0.09/0.49 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.09/0.49 fof(f116,plain,(
% 0.09/0.49 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 0.09/0.49 inference(miniscoping,[status(thm)],[f115])).
% 0.09/0.49 fof(f117,plain,(
% 0.09/0.49 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 0.09/0.49 inference(cnf_transformation,[status(thm)],[f116])).
% 0.09/0.49 fof(f134,plain,(
% 0.09/0.49 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 0.09/0.49 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 0.09/0.49 fof(f135,plain,(
% 0.09/0.49 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 0.09/0.49 inference(miniscoping,[status(thm)],[f134])).
% 0.09/0.49 fof(f136,plain,(
% 0.09/0.49 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 0.09/0.49 inference(cnf_transformation,[status(thm)],[f135])).
% 0.09/0.49 fof(f139,plain,(
% 0.09/0.49 ![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))),
% 0.09/0.49 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 0.09/0.49 fof(f140,plain,(
% 0.09/0.49 ![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))),
% 0.09/0.49 inference(cnf_transformation,[status(thm)],[f139])).
% 0.09/0.49 fof(f143,plain,(
% 0.09/0.49 ![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))),
% 0.09/0.49 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 0.09/0.49 fof(f144,plain,(
% 0.09/0.49 ![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))),
% 0.09/0.49 inference(cnf_transformation,[status(thm)],[f143])).
% 0.09/0.49 fof(f184,plain,(
% 0.09/0.49 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 0.09/0.49 inference(pre_NNF_transformation,[status(thm)],[f39])).
% 0.09/0.49 fof(f185,plain,(
% 0.09/0.49 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 0.09/0.49 inference(miniscoping,[status(thm)],[f184])).
% 0.09/0.49 fof(f186,plain,(
% 0.09/0.49 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 0.09/0.49 inference(cnf_transformation,[status(thm)],[f185])).
% 0.09/0.49 fof(f187,plain,(
% 0.09/0.49 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 0.09/0.49 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 0.09/0.49 fof(f188,plain,(
% 0.09/0.49 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 0.09/0.49 inference(miniscoping,[status(thm)],[f187])).
% 0.09/0.49 fof(f189,plain,(
% 0.09/0.49 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 0.09/0.49 inference(cnf_transformation,[status(thm)],[f188])).
% 0.09/0.49 fof(f190,plain,(
% 0.09/0.49 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 0.09/0.49 inference(pre_NNF_transformation,[status(thm)],[f41])).
% 0.09/0.49 fof(f191,plain,(
% 0.09/0.49 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 0.09/0.49 inference(cnf_transformation,[status(thm)],[f190])).
% 0.09/0.49 fof(f194,plain,(
% 0.09/0.49 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 0.09/0.49 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 0.09/0.49 fof(f195,plain,(
% 0.09/0.49 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 0.09/0.49 inference(cnf_transformation,[status(thm)],[f194])).
% 0.09/0.49 fof(f196,plain,(
% 0.09/0.49 ![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))),
% 0.09/0.49 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 0.09/0.49 fof(f197,plain,(
% 0.09/0.49 ![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))),
% 0.09/0.49 inference(miniscoping,[status(thm)],[f196])).
% 0.09/0.49 fof(f198,plain,(
% 0.09/0.49 ![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))),
% 0.09/0.49 inference(cnf_transformation,[status(thm)],[f197])).
% 0.09/0.49 fof(f220,plain,(
% 0.09/0.49 ![A,B,C,M]: ((~perp(A,B,B,C)|~midp(M,A,C))|cong(A,M,B,M))),
% 0.09/0.49 inference(pre_NNF_transformation,[status(thm)],[f53])).
% 0.09/0.49 fof(f221,plain,(
% 0.09/0.49 ![A,B,M]: ((![C]: (~perp(A,B,B,C)|~midp(M,A,C)))|cong(A,M,B,M))),
% 0.09/0.49 inference(miniscoping,[status(thm)],[f220])).
% 0.09/0.49 fof(f222,plain,(
% 0.09/0.49 ![X0,X1,X2,X3]: (~perp(X0,X1,X1,X2)|~midp(X3,X0,X2)|cong(X0,X3,X1,X3))),
% 0.09/0.49 inference(cnf_transformation,[status(thm)],[f221])).
% 0.09/0.49 fof(f231,plain,(
% 0.09/0.49 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 0.09/0.49 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 0.09/0.49 fof(f232,plain,(
% 0.09/0.49 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 0.09/0.49 inference(cnf_transformation,[status(thm)],[f231])).
% 0.09/0.49 fof(f233,plain,(
% 0.09/0.49 ![A,B,P,Q]: (((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q))|perp(P,A,A,Q))),
% 0.09/0.49 inference(pre_NNF_transformation,[status(thm)],[f58])).
% 0.09/0.49 fof(f234,plain,(
% 0.09/0.49 ![A,P,Q]: ((![B]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q)))|perp(P,A,A,Q))),
% 0.09/0.49 inference(miniscoping,[status(thm)],[f233])).
% 0.09/0.49 fof(f235,plain,(
% 0.09/0.49 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|~cyclic(X0,X2,X1,X3)|perp(X1,X0,X0,X3))),
% 0.09/0.49 inference(cnf_transformation,[status(thm)],[f234])).
% 0.09/0.49 fof(f255,plain,(
% 0.09/0.49 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 0.09/0.49 inference(pre_NNF_transformation,[status(thm)],[f67])).
% 0.09/0.49 fof(f256,plain,(
% 0.09/0.49 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 0.09/0.49 inference(cnf_transformation,[status(thm)],[f255])).
% 0.09/0.49 fof(f257,plain,(
% 0.09/0.49 ![A,B,C]: ((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))),
% 0.09/0.49 inference(pre_NNF_transformation,[status(thm)],[f68])).
% 0.09/0.49 fof(f258,plain,(
% 0.09/0.49 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|~coll(X0,X1,X2)|midp(X0,X1,X2))),
% 0.09/0.49 inference(cnf_transformation,[status(thm)],[f257])).
% 0.09/0.49 fof(f369,plain,(
% 0.09/0.49 (?[A,B,C,O,D,E,NWPNT1,NWPNT2]: (((((circle(O,A,B,C)&perp(A,C,B,D))&circle(O,A,D,NWPNT1))&circle(O,D,E,NWPNT2))&coll(E,D,O))&~para(B,E,A,C)))),
% 0.09/0.49 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 0.09/0.49 fof(f370,plain,(
% 0.09/0.49 ?[A,B,C,E]: ((?[O,D]: ((((circle(O,A,B,C)&perp(A,C,B,D))&(?[NWPNT1]: circle(O,A,D,NWPNT1)))&(?[NWPNT2]: circle(O,D,E,NWPNT2)))&coll(E,D,O)))&~para(B,E,A,C))),
% 0.09/0.49 inference(miniscoping,[status(thm)],[f369])).
% 0.09/0.49 fof(f371,plain,(
% 0.09/0.49 (((((circle(sK24_skl,sK20_skl,sK21_skl,sK22_skl)&perp(sK20_skl,sK22_skl,sK21_skl,sK25_skl))&circle(sK24_skl,sK20_skl,sK25_skl,sK26_skl))&circle(sK24_skl,sK25_skl,sK23_skl,sK27_skl))&coll(sK23_skl,sK25_skl,sK24_skl))&~para(sK21_skl,sK23_skl,sK20_skl,sK22_skl))),
% 0.09/0.49 inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl,sK21_skl,sK22_skl,sK23_skl,sK24_skl,sK25_skl,sK26_skl,sK27_skl]),skolemize(A,sK20_skl),skolemize(B,sK21_skl),skolemize(C,sK22_skl),skolemize(E,sK23_skl),skolemize(O,sK24_skl),skolemize(D,sK25_skl),skolemize(NWPNT1,sK26_skl),skolemize(NWPNT2,sK27_skl)],[f370])).
% 0.09/0.49 fof(f373,plain,(
% 0.09/0.49 perp(sK20_skl,sK22_skl,sK21_skl,sK25_skl)),
% 0.09/0.49 inference(cnf_transformation,[status(thm)],[f371])).
% 0.09/0.49 fof(f377,plain,(
% 0.09/0.49 ~para(sK21_skl,sK23_skl,sK20_skl,sK22_skl)),
% 0.09/0.49 inference(cnf_transformation,[status(thm)],[f371])).
% 0.09/0.49 fof(f403,plain,(
% 0.09/0.49 ![X0,X1]: (~para(sK21_skl,sK23_skl,X0,X1)|~para(X0,X1,sK20_skl,sK22_skl))),
% 0.09/0.49 inference(resolution,[status(thm)],[f110,f377])).
% 0.09/0.49 fof(f409,plain,(
% 0.09/0.49 perp(sK21_skl,sK25_skl,sK20_skl,sK22_skl)),
% 0.09/0.49 inference(resolution,[status(thm)],[f114,f373])).
% 0.09/0.49 fof(f413,plain,(
% 0.09/0.49 perp(sK21_skl,sK25_skl,sK22_skl,sK20_skl)),
% 0.09/0.49 inference(resolution,[status(thm)],[f409,f112])).
% 0.09/0.49 fof(f416,plain,(
% 0.09/0.49 perp(sK22_skl,sK20_skl,sK21_skl,sK25_skl)),
% 0.09/0.49 inference(resolution,[status(thm)],[f413,f114])).
% 0.09/0.49 fof(f424,plain,(
% 0.09/0.49 ![X0,X1]: (~perp(X0,X1,sK22_skl,sK20_skl)|para(X0,X1,sK21_skl,sK25_skl))),
% 0.09/0.49 inference(resolution,[status(thm)],[f117,f416])).
% 0.09/0.49 fof(f819,plain,(
% 0.09/0.49 para(sK21_skl,sK25_skl,sK21_skl,sK25_skl)),
% 0.09/0.49 inference(resolution,[status(thm)],[f424,f413])).
% 0.09/0.49 fof(f822,plain,(
% 0.09/0.49 ![X0,X1]: (eqangle(sK21_skl,sK25_skl,X0,X1,sK21_skl,sK25_skl,X0,X1))),
% 0.09/0.49 inference(resolution,[status(thm)],[f819,f189])).
% 0.09/0.49 fof(f1075,plain,(
% 0.09/0.49 ![X0,X1]: (eqangle(X0,X1,sK21_skl,sK25_skl,X0,X1,sK21_skl,sK25_skl))),
% 0.09/0.49 inference(resolution,[status(thm)],[f822,f140])).
% 0.09/0.49 fof(f1496,plain,(
% 0.09/0.49 ![X0,X1]: (para(X0,X1,X0,X1))),
% 0.09/0.49 inference(resolution,[status(thm)],[f1075,f186])).
% 0.09/0.49 fof(f1499,plain,(
% 0.09/0.49 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X3,X0,X1,X2,X3))),
% 0.09/0.49 inference(resolution,[status(thm)],[f1496,f189])).
% 0.09/0.49 fof(f1502,plain,(
% 0.09/0.49 ![X0,X1]: (para(X0,X1,X1,X0))),
% 0.09/0.49 inference(resolution,[status(thm)],[f1496,f105])).
% 0.09/0.49 fof(f1503,plain,(
% 0.09/0.49 ![X0,X1]: (coll(X0,X1,X1))),
% 0.09/0.49 inference(resolution,[status(thm)],[f1496,f256])).
% 0.09/0.49 fof(f1562,plain,(
% 0.09/0.49 ![X0,X1]: (coll(X0,X1,X0))),
% 0.09/0.49 inference(resolution,[status(thm)],[f1503,f100])).
% 0.09/0.49 fof(f1623,plain,(
% 0.09/0.49 ![X0,X1]: (coll(X0,X0,X1))),
% 0.09/0.49 inference(resolution,[status(thm)],[f1562,f98])).
% 0.09/0.49 fof(f1647,plain,(
% 0.09/0.49 ![X0,X1,X2]: (~coll(X0,X0,X1)|coll(X1,X2,X0))),
% 0.09/0.49 inference(resolution,[status(thm)],[f1623,f103])).
% 0.09/0.49 fof(f1650,plain,(
% 0.09/0.49 ![X0,X1,X2]: (coll(X0,X1,X2))),
% 0.09/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1647,f1623])).
% 0.09/0.49 fof(f1654,plain,(
% 0.09/0.49 ~para(sK23_skl,sK21_skl,sK20_skl,sK22_skl)),
% 0.09/0.49 inference(resolution,[status(thm)],[f1502,f403])).
% 0.09/0.49 fof(f1671,plain,(
% 0.09/0.49 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X1,X2,X3,X2,X3))),
% 0.09/0.49 inference(resolution,[status(thm)],[f1499,f144])).
% 0.09/0.49 fof(f1855,plain,(
% 0.09/0.49 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|midp(X0,X1,X2))),
% 0.09/0.49 inference(forward_subsumption_resolution,[status(thm)],[f258,f1650])).
% 0.09/0.49 fof(f1875,plain,(
% 0.09/0.49 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|cyclic(X1,X2,X0,X3))),
% 0.09/0.49 inference(forward_subsumption_resolution,[status(thm)],[f195,f1650])).
% 0.09/0.49 fof(f1881,plain,(
% 0.09/0.49 ![X0,X1,X2]: (cyclic(X0,X0,X1,X2))),
% 0.09/0.49 inference(resolution,[status(thm)],[f1875,f1671])).
% 0.09/0.49 fof(f1945,plain,(
% 0.09/0.49 ![X0,X1,X2,X3]: (~cyclic(X0,X0,X1,X2)|cyclic(X0,X1,X2,X3))),
% 0.09/0.49 inference(resolution,[status(thm)],[f1881,f136])).
% 0.09/0.49 fof(f1953,plain,(
% 0.09/0.49 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3))),
% 0.09/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1945,f1881])).
% 0.09/0.49 fof(f1973,plain,(
% 0.09/0.49 ![X0,X1,X2,X3,X4,X5]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|~eqangle(X2,X0,X2,X1,X4,X5,X4,X3)|cong(X0,X1,X5,X3))),
% 0.09/0.49 inference(backward_subsumption_resolution,[status(thm)],[f198,f1953])).
% 0.09/0.49 fof(f1974,plain,(
% 0.09/0.49 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2))),
% 0.09/0.49 inference(backward_subsumption_resolution,[status(thm)],[f191,f1953])).
% 0.09/0.49 fof(f1975,plain,(
% 0.09/0.49 ![X0,X1,X2,X3,X4,X5]: (~cyclic(X0,X1,X2,X3)|~eqangle(X2,X0,X2,X1,X3,X4,X3,X5)|cong(X0,X1,X4,X5))),
% 0.09/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1973,f1953])).
% 0.09/0.49 fof(f1998,plain,(
% 0.09/0.49 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X0,X2,X3,X4,X3,X5)|cong(X1,X2,X4,X5))),
% 0.09/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1975,f1953])).
% 0.09/0.49 fof(f2000,plain,(
% 0.09/0.49 ![X0,X1]: (cong(X0,X1,X0,X1))),
% 0.09/0.49 inference(resolution,[status(thm)],[f1998,f1974])).
% 0.09/0.49 fof(f2025,plain,(
% 0.09/0.49 ![X0,X1]: (midp(X0,X1,X1))),
% 0.09/0.49 inference(resolution,[status(thm)],[f2000,f1855])).
% 0.09/0.49 fof(f2312,plain,(
% 0.09/0.49 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X1,X0,X0,X3))),
% 0.09/0.49 inference(forward_subsumption_resolution,[status(thm)],[f235,f1953])).
% 0.09/0.49 fof(f2314,plain,(
% 0.09/0.49 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X1,X0,X0,X2))),
% 0.09/0.50 inference(resolution,[status(thm)],[f2312,f2000])).
% 0.09/0.50 fof(f2317,plain,(
% 0.09/0.50 ![X0,X1,X2]: (perp(X0,X1,X1,X2))),
% 0.09/0.50 inference(forward_subsumption_resolution,[status(thm)],[f2314,f2000])).
% 0.09/0.50 fof(f2318,plain,(
% 0.09/0.50 ![X0,X1,X2,X3]: (~midp(X0,X1,X2)|cong(X1,X0,X3,X0))),
% 0.09/0.50 inference(backward_subsumption_resolution,[status(thm)],[f222,f2317])).
% 0.09/0.50 fof(f2385,plain,(
% 0.09/0.50 ![X0,X1,X2]: (cong(X0,X1,X2,X1))),
% 0.09/0.50 inference(resolution,[status(thm)],[f2318,f2025])).
% 0.09/0.50 fof(f2386,plain,(
% 0.09/0.50 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|perp(X0,X2,X3,X1))),
% 0.09/0.50 inference(backward_subsumption_resolution,[status(thm)],[f232,f2385])).
% 0.09/0.50 fof(f2393,plain,(
% 0.09/0.50 ![X0,X1,X2,X3]: (perp(X0,X1,X2,X3))),
% 0.09/0.50 inference(forward_subsumption_resolution,[status(thm)],[f2386,f2385])).
% 0.09/0.50 fof(f2395,plain,(
% 0.09/0.50 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|para(X4,X5,X2,X3))),
% 0.09/0.50 inference(backward_subsumption_resolution,[status(thm)],[f117,f2393])).
% 0.09/0.50 fof(f2404,plain,(
% 0.09/0.50 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3))),
% 0.09/0.50 inference(forward_subsumption_resolution,[status(thm)],[f2395,f2393])).
% 0.09/0.50 fof(f2430,plain,(
% 0.09/0.50 $false),
% 0.09/0.50 inference(backward_subsumption_resolution,[status(thm)],[f1654,f2404])).
% 0.09/0.50 % SZS output end CNFRefutation for theBenchmark.p
% 0.36/0.52 % Elapsed time: 0.139577 seconds
% 0.36/0.52 % CPU time: 0.793560 seconds
% 0.36/0.52 % Total memory used: 92.309 MB
% 0.36/0.52 % Net memory used: 91.277 MB
%------------------------------------------------------------------------------