%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO571+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 : n011.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 12:26:39 PM UTC 2026
% Result : Theorem 0.10s 0.60s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO571+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n011.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 17:36:24 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.39 % Drodi V4.1.1
% 0.10/0.60 % Refutation found
% 0.10/0.60 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.60 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.60 fof(f1,axiom,(
% 0.10/0.60 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 0.10/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.60 fof(f2,axiom,(
% 0.10/0.60 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 0.10/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.60 fof(f3,axiom,(
% 0.10/0.60 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 0.10/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.60 fof(f8,axiom,(
% 0.10/0.60 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 0.10/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.60 fof(f9,axiom,(
% 0.10/0.60 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 0.10/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.60 fof(f17,axiom,(
% 0.10/0.60 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 0.10/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.60 fof(f19,axiom,(
% 0.10/0.60 (! [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) ) )),
% 0.10/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.60 fof(f20,axiom,(
% 0.10/0.60 (! [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) ) )),
% 0.10/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.60 fof(f21,axiom,(
% 0.10/0.60 (! [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) ) )),
% 0.10/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.60 fof(f22,axiom,(
% 0.10/0.60 (! [A,B,C,D,P,Q,U,V,E,F,G,H] :( ( eqangle(A,B,C,D,P,Q,U,V)& eqangle(P,Q,U,V,E,F,G,H) )=> eqangle(A,B,C,D,E,F,G,H) ) )),
% 0.10/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.60 fof(f39,axiom,(
% 0.10/0.60 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 0.10/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.60 fof(f40,axiom,(
% 0.10/0.60 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 0.10/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.60 fof(f41,axiom,(
% 0.10/0.60 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 0.10/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.60 fof(f43,axiom,(
% 0.10/0.60 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 0.10/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.60 fof(f44,axiom,(
% 0.10/0.60 (! [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) ) )),
% 0.10/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.60 fof(f53,axiom,(
% 0.10/0.60 (! [A,B,C,M] :( ( perp(A,B,B,C)& midp(M,A,C) )=> cong(A,M,B,M) ) )),
% 0.10/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.60 fof(f57,axiom,(
% 0.10/0.60 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 0.10/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.60 fof(f58,axiom,(
% 0.10/0.60 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q)& cyclic(A,B,P,Q) )=> perp(P,A,A,Q) ) )),
% 0.10/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.60 fof(f67,axiom,(
% 0.10/0.60 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 0.10/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.60 fof(f68,axiom,(
% 0.10/0.60 (! [A,B,C] :( ( cong(A,B,A,C)& coll(A,B,C) )=> midp(A,B,C) ) )),
% 0.10/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.60 fof(f95,conjecture,(
% 0.10/0.60 (! [A,B,C,O,D,I,E,F,NWPNT1] :( ( circle(O,A,B,C)& circle(O,A,D,NWPNT1)& coll(I,A,B)& coll(I,C,D)& perp(C,D,D,E)& perp(A,B,A,E)& perp(C,D,C,F)& perp(A,B,B,F) )=> eqangle(A,I,I,E,F,I,I,C) ) )),
% 0.10/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.60 fof(f96,negated_conjecture,(
% 0.10/0.60 ~((! [A,B,C,O,D,I,E,F,NWPNT1] :( ( circle(O,A,B,C)& circle(O,A,D,NWPNT1)& coll(I,A,B)& coll(I,C,D)& perp(C,D,D,E)& perp(A,B,A,E)& perp(C,D,C,F)& perp(A,B,B,F) )=> eqangle(A,I,I,E,F,I,I,C) ) ))),
% 0.10/0.60 inference(negated_conjecture,[status(cth)],[f95])).
% 0.10/0.60 fof(f97,plain,(
% 0.10/0.60 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 0.10/0.60 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.10/0.60 fof(f98,plain,(
% 0.10/0.60 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 0.10/0.60 inference(cnf_transformation,[status(thm)],[f97])).
% 0.10/0.60 fof(f99,plain,(
% 0.10/0.60 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 0.10/0.60 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.10/0.60 fof(f100,plain,(
% 0.10/0.60 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 0.10/0.60 inference(cnf_transformation,[status(thm)],[f99])).
% 0.10/0.60 fof(f101,plain,(
% 0.10/0.60 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 0.10/0.60 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.10/0.60 fof(f102,plain,(
% 0.10/0.60 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 0.10/0.60 inference(miniscoping,[status(thm)],[f101])).
% 0.10/0.60 fof(f103,plain,(
% 0.10/0.60 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 0.10/0.60 inference(cnf_transformation,[status(thm)],[f102])).
% 0.10/0.60 fof(f113,plain,(
% 0.10/0.60 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 0.10/0.60 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.10/0.60 fof(f114,plain,(
% 0.10/0.60 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 0.10/0.60 inference(cnf_transformation,[status(thm)],[f113])).
% 0.10/0.60 fof(f115,plain,(
% 0.10/0.60 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 0.10/0.60 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.10/0.60 fof(f116,plain,(
% 0.10/0.60 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 0.10/0.60 inference(miniscoping,[status(thm)],[f115])).
% 0.10/0.60 fof(f117,plain,(
% 0.10/0.60 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 0.10/0.60 inference(cnf_transformation,[status(thm)],[f116])).
% 0.10/0.60 fof(f134,plain,(
% 0.10/0.60 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 0.10/0.60 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 0.10/0.60 fof(f135,plain,(
% 0.10/0.60 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 0.10/0.60 inference(miniscoping,[status(thm)],[f134])).
% 0.10/0.60 fof(f136,plain,(
% 0.10/0.60 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 0.10/0.60 inference(cnf_transformation,[status(thm)],[f135])).
% 0.10/0.60 fof(f139,plain,(
% 0.10/0.60 ![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))),
% 0.10/0.60 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 0.10/0.60 fof(f140,plain,(
% 0.10/0.60 ![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))),
% 0.10/0.60 inference(cnf_transformation,[status(thm)],[f139])).
% 0.10/0.60 fof(f141,plain,(
% 0.10/0.60 ![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))),
% 0.10/0.60 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 0.10/0.60 fof(f142,plain,(
% 0.10/0.60 ![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))),
% 0.10/0.60 inference(cnf_transformation,[status(thm)],[f141])).
% 0.10/0.60 fof(f143,plain,(
% 0.10/0.60 ![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))),
% 0.10/0.60 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 0.10/0.60 fof(f144,plain,(
% 0.10/0.60 ![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))),
% 0.10/0.60 inference(cnf_transformation,[status(thm)],[f143])).
% 0.10/0.60 fof(f145,plain,(
% 0.10/0.60 ![A,B,C,D,P,Q,U,V,E,F,G,H]: ((~eqangle(A,B,C,D,P,Q,U,V)|~eqangle(P,Q,U,V,E,F,G,H))|eqangle(A,B,C,D,E,F,G,H))),
% 0.10/0.60 inference(pre_NNF_transformation,[status(thm)],[f22])).
% 0.10/0.60 fof(f146,plain,(
% 0.10/0.60 ![A,B,C,D,E,F,G,H]: ((![P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|~eqangle(P,Q,U,V,E,F,G,H)))|eqangle(A,B,C,D,E,F,G,H))),
% 0.10/0.60 inference(miniscoping,[status(thm)],[f145])).
% 0.10/0.60 fof(f147,plain,(
% 0.10/0.60 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|~eqangle(X4,X5,X6,X7,X8,X9,X10,X11)|eqangle(X0,X1,X2,X3,X8,X9,X10,X11))),
% 0.10/0.60 inference(cnf_transformation,[status(thm)],[f146])).
% 0.10/0.60 fof(f184,plain,(
% 0.10/0.60 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 0.10/0.60 inference(pre_NNF_transformation,[status(thm)],[f39])).
% 0.10/0.60 fof(f185,plain,(
% 0.10/0.60 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 0.10/0.60 inference(miniscoping,[status(thm)],[f184])).
% 0.10/0.60 fof(f186,plain,(
% 0.10/0.60 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 0.10/0.60 inference(cnf_transformation,[status(thm)],[f185])).
% 0.10/0.60 fof(f187,plain,(
% 0.10/0.60 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 0.10/0.60 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 0.10/0.60 fof(f188,plain,(
% 0.10/0.60 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 0.10/0.60 inference(miniscoping,[status(thm)],[f187])).
% 0.10/0.60 fof(f189,plain,(
% 0.10/0.60 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 0.10/0.60 inference(cnf_transformation,[status(thm)],[f188])).
% 0.10/0.60 fof(f190,plain,(
% 0.10/0.60 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 0.10/0.60 inference(pre_NNF_transformation,[status(thm)],[f41])).
% 0.10/0.60 fof(f191,plain,(
% 0.10/0.60 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 0.10/0.60 inference(cnf_transformation,[status(thm)],[f190])).
% 0.10/0.60 fof(f194,plain,(
% 0.10/0.60 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 0.10/0.60 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 0.10/0.60 fof(f195,plain,(
% 0.10/0.60 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 0.10/0.60 inference(cnf_transformation,[status(thm)],[f194])).
% 0.10/0.60 fof(f196,plain,(
% 0.10/0.60 ![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))),
% 0.10/0.60 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 0.10/0.60 fof(f197,plain,(
% 0.10/0.60 ![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))),
% 0.10/0.60 inference(miniscoping,[status(thm)],[f196])).
% 0.10/0.60 fof(f198,plain,(
% 0.10/0.60 ![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))),
% 0.10/0.60 inference(cnf_transformation,[status(thm)],[f197])).
% 0.10/0.60 fof(f220,plain,(
% 0.10/0.60 ![A,B,C,M]: ((~perp(A,B,B,C)|~midp(M,A,C))|cong(A,M,B,M))),
% 0.10/0.60 inference(pre_NNF_transformation,[status(thm)],[f53])).
% 0.10/0.60 fof(f221,plain,(
% 0.10/0.60 ![A,B,M]: ((![C]: (~perp(A,B,B,C)|~midp(M,A,C)))|cong(A,M,B,M))),
% 0.10/0.60 inference(miniscoping,[status(thm)],[f220])).
% 0.10/0.60 fof(f222,plain,(
% 0.10/0.60 ![X0,X1,X2,X3]: (~perp(X0,X1,X1,X2)|~midp(X3,X0,X2)|cong(X0,X3,X1,X3))),
% 0.10/0.60 inference(cnf_transformation,[status(thm)],[f221])).
% 0.10/0.60 fof(f231,plain,(
% 0.10/0.60 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 0.10/0.60 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 0.10/0.60 fof(f232,plain,(
% 0.10/0.60 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 0.10/0.60 inference(cnf_transformation,[status(thm)],[f231])).
% 0.10/0.60 fof(f233,plain,(
% 0.10/0.60 ![A,B,P,Q]: (((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q))|perp(P,A,A,Q))),
% 0.10/0.60 inference(pre_NNF_transformation,[status(thm)],[f58])).
% 0.10/0.60 fof(f234,plain,(
% 0.10/0.60 ![A,P,Q]: ((![B]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q)))|perp(P,A,A,Q))),
% 0.10/0.60 inference(miniscoping,[status(thm)],[f233])).
% 0.10/0.60 fof(f235,plain,(
% 0.10/0.60 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|~cyclic(X0,X2,X1,X3)|perp(X1,X0,X0,X3))),
% 0.10/0.60 inference(cnf_transformation,[status(thm)],[f234])).
% 0.10/0.60 fof(f255,plain,(
% 0.10/0.60 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 0.10/0.60 inference(pre_NNF_transformation,[status(thm)],[f67])).
% 0.10/0.60 fof(f256,plain,(
% 0.10/0.60 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 0.10/0.60 inference(cnf_transformation,[status(thm)],[f255])).
% 0.10/0.60 fof(f257,plain,(
% 0.10/0.60 ![A,B,C]: ((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))),
% 0.10/0.60 inference(pre_NNF_transformation,[status(thm)],[f68])).
% 0.10/0.60 fof(f258,plain,(
% 0.10/0.60 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|~coll(X0,X1,X2)|midp(X0,X1,X2))),
% 0.10/0.60 inference(cnf_transformation,[status(thm)],[f257])).
% 0.10/0.60 fof(f369,plain,(
% 0.10/0.60 (?[A,B,C,O,D,I,E,F,NWPNT1]: ((((((((circle(O,A,B,C)&circle(O,A,D,NWPNT1))&coll(I,A,B))&coll(I,C,D))&perp(C,D,D,E))&perp(A,B,A,E))&perp(C,D,C,F))&perp(A,B,B,F))&~eqangle(A,I,I,E,F,I,I,C)))),
% 0.10/0.60 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 0.10/0.60 fof(f370,plain,(
% 0.10/0.60 ?[A,C,I,E,F]: ((?[B]: ((?[D]: ((((((?[O]: (circle(O,A,B,C)&(?[NWPNT1]: circle(O,A,D,NWPNT1))))&coll(I,A,B))&coll(I,C,D))&perp(C,D,D,E))&perp(A,B,A,E))&perp(C,D,C,F)))&perp(A,B,B,F)))&~eqangle(A,I,I,E,F,I,I,C))),
% 0.10/0.60 inference(miniscoping,[status(thm)],[f369])).
% 0.10/0.60 fof(f371,plain,(
% 0.10/0.60 ((((((((circle(sK27_skl,sK20_skl,sK25_skl,sK21_skl)&circle(sK27_skl,sK20_skl,sK26_skl,sK28_skl))&coll(sK22_skl,sK20_skl,sK25_skl))&coll(sK22_skl,sK21_skl,sK26_skl))&perp(sK21_skl,sK26_skl,sK26_skl,sK23_skl))&perp(sK20_skl,sK25_skl,sK20_skl,sK23_skl))&perp(sK21_skl,sK26_skl,sK21_skl,sK24_skl))&perp(sK20_skl,sK25_skl,sK25_skl,sK24_skl))&~eqangle(sK20_skl,sK22_skl,sK22_skl,sK23_skl,sK24_skl,sK22_skl,sK22_skl,sK21_skl))),
% 0.10/0.60 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]),skolemize(A,sK20_skl),skolemize(C,sK21_skl),skolemize(I,sK22_skl),skolemize(E,sK23_skl),skolemize(F,sK24_skl),skolemize(B,sK25_skl),skolemize(D,sK26_skl),skolemize(O,sK27_skl),skolemize(NWPNT1,sK28_skl)],[f370])).
% 0.10/0.60 fof(f378,plain,(
% 0.10/0.60 perp(sK21_skl,sK26_skl,sK21_skl,sK24_skl)),
% 0.10/0.60 inference(cnf_transformation,[status(thm)],[f371])).
% 0.10/0.60 fof(f380,plain,(
% 0.10/0.60 ~eqangle(sK20_skl,sK22_skl,sK22_skl,sK23_skl,sK24_skl,sK22_skl,sK22_skl,sK21_skl)),
% 0.10/0.60 inference(cnf_transformation,[status(thm)],[f371])).
% 0.10/0.60 fof(f431,plain,(
% 0.10/0.60 perp(sK21_skl,sK24_skl,sK21_skl,sK26_skl)),
% 0.10/0.60 inference(resolution,[status(thm)],[f114,f378])).
% 0.10/0.60 fof(f511,plain,(
% 0.10/0.60 ![X0,X1]: (~perp(X0,X1,sK21_skl,sK26_skl)|para(X0,X1,sK21_skl,sK24_skl))),
% 0.10/0.60 inference(resolution,[status(thm)],[f117,f378])).
% 0.10/0.60 fof(f911,plain,(
% 0.10/0.60 para(sK21_skl,sK24_skl,sK21_skl,sK24_skl)),
% 0.10/0.60 inference(resolution,[status(thm)],[f511,f431])).
% 0.10/0.60 fof(f1189,plain,(
% 0.10/0.60 ![X0,X1]: (eqangle(sK21_skl,sK24_skl,X0,X1,sK21_skl,sK24_skl,X0,X1))),
% 0.10/0.60 inference(resolution,[status(thm)],[f189,f911])).
% 0.10/0.60 fof(f4194,plain,(
% 0.10/0.60 ![X0,X1]: (eqangle(sK21_skl,sK24_skl,sK21_skl,sK24_skl,X0,X1,X0,X1))),
% 0.10/0.60 inference(resolution,[status(thm)],[f1189,f144])).
% 0.10/0.60 fof(f4196,plain,(
% 0.10/0.60 ![X0,X1]: (eqangle(X0,X1,sK21_skl,sK24_skl,X0,X1,sK21_skl,sK24_skl))),
% 0.10/0.60 inference(resolution,[status(thm)],[f1189,f140])).
% 0.10/0.60 fof(f7018,plain,(
% 0.10/0.60 ![X0,X1]: (para(X0,X1,X0,X1))),
% 0.10/0.60 inference(resolution,[status(thm)],[f4196,f186])).
% 0.10/0.60 fof(f7043,plain,(
% 0.10/0.60 ![X0,X1]: (coll(X0,X1,X1))),
% 0.10/0.60 inference(resolution,[status(thm)],[f7018,f256])).
% 0.10/0.60 fof(f7345,plain,(
% 0.10/0.60 ![X0,X1]: (coll(X0,X1,X0))),
% 0.10/0.60 inference(resolution,[status(thm)],[f7043,f100])).
% 0.10/0.60 fof(f7654,plain,(
% 0.10/0.60 ![X0,X1]: (coll(X0,X0,X1))),
% 0.10/0.60 inference(resolution,[status(thm)],[f7345,f98])).
% 0.10/0.60 fof(f7706,plain,(
% 0.10/0.60 ![X0,X1,X2]: (~coll(X0,X0,X1)|coll(X1,X2,X0))),
% 0.10/0.60 inference(resolution,[status(thm)],[f7654,f103])).
% 0.10/0.60 fof(f7709,plain,(
% 0.10/0.60 ![X0,X1,X2]: (coll(X0,X1,X2))),
% 0.10/0.60 inference(forward_subsumption_resolution,[status(thm)],[f7706,f7654])).
% 0.10/0.60 fof(f7711,plain,(
% 0.10/0.60 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|midp(X0,X1,X2))),
% 0.10/0.60 inference(backward_subsumption_resolution,[status(thm)],[f258,f7709])).
% 0.10/0.60 fof(f7714,plain,(
% 0.10/0.60 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|cyclic(X1,X2,X0,X3))),
% 0.10/0.60 inference(backward_subsumption_resolution,[status(thm)],[f195,f7709])).
% 0.10/0.60 fof(f7791,plain,(
% 0.10/0.60 ![X0]: (cyclic(sK24_skl,sK24_skl,sK21_skl,X0))),
% 0.10/0.60 inference(resolution,[status(thm)],[f7714,f4194])).
% 0.10/0.60 fof(f7905,plain,(
% 0.10/0.60 ![X0,X1]: (~cyclic(sK24_skl,sK24_skl,sK21_skl,X0)|cyclic(sK24_skl,sK21_skl,X0,X1))),
% 0.10/0.60 inference(resolution,[status(thm)],[f7791,f136])).
% 0.10/0.60 fof(f7909,plain,(
% 0.10/0.60 ![X0,X1]: (cyclic(sK24_skl,sK21_skl,X0,X1))),
% 0.10/0.60 inference(forward_subsumption_resolution,[status(thm)],[f7905,f7791])).
% 0.10/0.60 fof(f7911,plain,(
% 0.10/0.60 ![X0,X1,X2]: (~cyclic(sK24_skl,sK21_skl,X0,X1)|cyclic(sK21_skl,X0,X1,X2))),
% 0.10/0.60 inference(resolution,[status(thm)],[f7909,f136])).
% 0.10/0.60 fof(f7915,plain,(
% 0.10/0.60 ![X0,X1,X2]: (cyclic(sK21_skl,X0,X1,X2))),
% 0.10/0.60 inference(forward_subsumption_resolution,[status(thm)],[f7911,f7909])).
% 0.10/0.60 fof(f7918,plain,(
% 0.10/0.60 ![X0,X1,X2,X3]: (~cyclic(sK21_skl,X0,X1,X2)|cyclic(X0,X1,X2,X3))),
% 0.10/0.60 inference(resolution,[status(thm)],[f7915,f136])).
% 0.10/0.60 fof(f7922,plain,(
% 0.10/0.60 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3))),
% 0.10/0.60 inference(forward_subsumption_resolution,[status(thm)],[f7918,f7915])).
% 0.10/0.60 fof(f7925,plain,(
% 0.10/0.60 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X1,X0,X0,X3))),
% 0.10/0.60 inference(backward_subsumption_resolution,[status(thm)],[f235,f7922])).
% 0.10/0.60 fof(f7927,plain,(
% 0.10/0.60 ![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))),
% 0.10/0.60 inference(backward_subsumption_resolution,[status(thm)],[f198,f7922])).
% 0.10/0.60 fof(f7929,plain,(
% 0.10/0.60 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2))),
% 0.10/0.60 inference(backward_subsumption_resolution,[status(thm)],[f191,f7922])).
% 0.10/0.60 fof(f7930,plain,(
% 0.10/0.60 ![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))),
% 0.10/0.60 inference(forward_subsumption_resolution,[status(thm)],[f7927,f7922])).
% 0.10/0.60 fof(f7977,plain,(
% 0.10/0.60 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X0,X2,X3,X4,X3,X5)|cong(X1,X2,X4,X5))),
% 0.10/0.60 inference(forward_subsumption_resolution,[status(thm)],[f7930,f7922])).
% 0.10/0.60 fof(f7992,plain,(
% 0.10/0.60 ![X0,X1]: (cong(X0,X1,X0,X1))),
% 0.10/0.60 inference(resolution,[status(thm)],[f7929,f7977])).
% 0.10/0.60 fof(f8006,plain,(
% 0.10/0.60 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X1,X0,X0,X2))),
% 0.10/0.60 inference(resolution,[status(thm)],[f7992,f7925])).
% 0.10/0.60 fof(f8007,plain,(
% 0.10/0.60 ![X0,X1]: (midp(X0,X1,X1))),
% 0.10/0.60 inference(resolution,[status(thm)],[f7992,f7711])).
% 0.10/0.60 fof(f8018,plain,(
% 0.10/0.60 ![X0,X1,X2]: (perp(X0,X1,X1,X2))),
% 0.10/0.60 inference(forward_subsumption_resolution,[status(thm)],[f8006,f7992])).
% 0.10/0.60 fof(f8035,plain,(
% 0.10/0.60 ![X0,X1,X2,X3]: (~midp(X0,X1,X2)|cong(X1,X0,X3,X0))),
% 0.10/0.60 inference(backward_subsumption_resolution,[status(thm)],[f222,f8018])).
% 0.10/0.60 fof(f8320,plain,(
% 0.10/0.60 ![X0,X1,X2]: (cong(X0,X1,X2,X1))),
% 0.10/0.60 inference(resolution,[status(thm)],[f8035,f8007])).
% 0.10/0.60 fof(f8321,plain,(
% 0.10/0.60 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|perp(X0,X2,X3,X1))),
% 0.10/0.60 inference(backward_subsumption_resolution,[status(thm)],[f232,f8320])).
% 0.10/0.60 fof(f8334,plain,(
% 0.10/0.60 ![X0,X1,X2,X3]: (perp(X0,X1,X2,X3))),
% 0.10/0.60 inference(forward_subsumption_resolution,[status(thm)],[f8321,f8320])).
% 0.10/0.60 fof(f8335,plain,(
% 0.10/0.60 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|para(X4,X5,X2,X3))),
% 0.10/0.60 inference(backward_subsumption_resolution,[status(thm)],[f117,f8334])).
% 0.10/0.60 fof(f8356,plain,(
% 0.10/0.60 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3))),
% 0.10/0.60 inference(forward_subsumption_resolution,[status(thm)],[f8335,f8334])).
% 0.10/0.60 fof(f8399,plain,(
% 0.10/0.60 ![X0,X1,X2,X3,X4,X5]: (eqangle(X0,X1,X2,X3,X4,X5,X2,X3))),
% 0.10/0.60 inference(backward_subsumption_resolution,[status(thm)],[f189,f8356])).
% 0.10/0.60 fof(f8448,plain,(
% 0.10/0.60 ![X0,X1,X2,X3,X4,X5]: (eqangle(X0,X1,X2,X3,X4,X5,X4,X5))),
% 0.10/0.60 inference(resolution,[status(thm)],[f8399,f144])).
% 0.10/0.60 fof(f8531,plain,(
% 0.10/0.60 ![X0,X1,X2,X3,X4,X5]: (eqangle(X0,X1,X0,X1,X2,X3,X4,X5))),
% 0.10/0.60 inference(resolution,[status(thm)],[f8448,f142])).
% 0.10/0.60 fof(f8692,plain,(
% 0.10/0.60 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (~eqangle(X0,X1,X2,X3,X4,X5,X4,X5)|eqangle(X0,X1,X2,X3,X6,X7,X8,X9))),
% 0.10/0.60 inference(resolution,[status(thm)],[f8531,f147])).
% 0.10/0.60 fof(f8697,plain,(
% 0.10/0.60 ![X0,X1,X2,X3,X4,X5,X6,X7]: (eqangle(X0,X1,X2,X3,X4,X5,X6,X7))),
% 0.10/0.60 inference(forward_subsumption_resolution,[status(thm)],[f8692,f8448])).
% 0.10/0.60 fof(f9009,plain,(
% 0.10/0.60 $false),
% 0.10/0.60 inference(backward_subsumption_resolution,[status(thm)],[f380,f8697])).
% 0.10/0.60 % SZS output end CNFRefutation for theBenchmark.p
% 0.64/0.62 % Elapsed time: 0.247235 seconds
% 0.64/0.62 % CPU time: 1.713153 seconds
% 0.64/0.62 % Total memory used: 103.448 MB
% 0.64/0.62 % Net memory used: 101.598 MB
%------------------------------------------------------------------------------