%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO561+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 12:26:38 PM UTC 2026
% Result : Theorem 7.15s 1.36s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO561+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n011.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 17:31:56 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 7.15/1.36 % Refutation found
% 7.15/1.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 7.15/1.36 % SZS output start CNFRefutation for theBenchmark
% 7.15/1.36 fof(f1,axiom,(
% 7.15/1.36 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 7.15/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.15/1.36 fof(f2,axiom,(
% 7.15/1.36 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 7.15/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.15/1.36 fof(f3,axiom,(
% 7.15/1.36 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 7.15/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.15/1.36 fof(f8,axiom,(
% 7.15/1.36 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 7.15/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.15/1.36 fof(f9,axiom,(
% 7.15/1.36 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 7.15/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.15/1.36 fof(f17,axiom,(
% 7.15/1.36 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 7.15/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.15/1.36 fof(f19,axiom,(
% 7.15/1.36 (! [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) ) )),
% 7.15/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.15/1.36 fof(f21,axiom,(
% 7.15/1.36 (! [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) ) )),
% 7.15/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.15/1.36 fof(f22,axiom,(
% 7.15/1.36 (! [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) ) )),
% 7.15/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.15/1.36 fof(f39,axiom,(
% 7.15/1.36 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 7.15/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.15/1.36 fof(f40,axiom,(
% 7.15/1.36 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 7.15/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.15/1.36 fof(f41,axiom,(
% 7.15/1.36 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 7.15/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.15/1.36 fof(f43,axiom,(
% 7.15/1.36 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 7.15/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.15/1.36 fof(f44,axiom,(
% 7.15/1.36 (! [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) ) )),
% 7.15/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.15/1.36 fof(f53,axiom,(
% 7.15/1.36 (! [A,B,C,M] :( ( perp(A,B,B,C)& midp(M,A,C) )=> cong(A,M,B,M) ) )),
% 7.15/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.15/1.36 fof(f57,axiom,(
% 7.15/1.36 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 7.15/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.15/1.36 fof(f58,axiom,(
% 7.15/1.36 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q)& cyclic(A,B,P,Q) )=> perp(P,A,A,Q) ) )),
% 7.15/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.15/1.36 fof(f67,axiom,(
% 7.15/1.36 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 7.15/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.15/1.36 fof(f68,axiom,(
% 7.15/1.36 (! [A,B,C] :( ( cong(A,B,A,C)& coll(A,B,C) )=> midp(A,B,C) ) )),
% 7.15/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.15/1.36 fof(f95,conjecture,(
% 7.15/1.36 (! [A,B,C,O,P,Q,N,M,E,D,NWPNT1,NWPNT2] :( ( circle(O,A,B,C)& perp(P,O,A,C)& coll(P,A,C)& perp(Q,O,A,B)& coll(Q,A,B)& coll(N,O,P)& circle(O,A,N,NWPNT1)& coll(M,O,Q)& circle(O,A,M,NWPNT2)& coll(E,A,C)& coll(E,N,M)& coll(D,A,B)& coll(D,N,M) )=> eqangle(A,D,D,E,D,E,E,A) ) )),
% 7.15/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.15/1.36 fof(f96,negated_conjecture,(
% 7.15/1.36 ~((! [A,B,C,O,P,Q,N,M,E,D,NWPNT1,NWPNT2] :( ( circle(O,A,B,C)& perp(P,O,A,C)& coll(P,A,C)& perp(Q,O,A,B)& coll(Q,A,B)& coll(N,O,P)& circle(O,A,N,NWPNT1)& coll(M,O,Q)& circle(O,A,M,NWPNT2)& coll(E,A,C)& coll(E,N,M)& coll(D,A,B)& coll(D,N,M) )=> eqangle(A,D,D,E,D,E,E,A) ) ))),
% 7.15/1.36 inference(negated_conjecture,[status(cth)],[f95])).
% 7.15/1.36 fof(f97,plain,(
% 7.15/1.36 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 7.15/1.36 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 7.15/1.36 fof(f98,plain,(
% 7.15/1.36 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 7.15/1.36 inference(cnf_transformation,[status(thm)],[f97])).
% 7.15/1.36 fof(f99,plain,(
% 7.15/1.36 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 7.15/1.36 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 7.15/1.36 fof(f100,plain,(
% 7.15/1.36 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 7.15/1.36 inference(cnf_transformation,[status(thm)],[f99])).
% 7.15/1.36 fof(f101,plain,(
% 7.15/1.36 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 7.15/1.36 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 7.15/1.36 fof(f102,plain,(
% 7.15/1.36 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 7.15/1.36 inference(miniscoping,[status(thm)],[f101])).
% 7.15/1.36 fof(f103,plain,(
% 7.15/1.36 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 7.15/1.36 inference(cnf_transformation,[status(thm)],[f102])).
% 7.15/1.36 fof(f113,plain,(
% 7.15/1.36 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 7.15/1.36 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 7.15/1.36 fof(f114,plain,(
% 7.15/1.36 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 7.15/1.36 inference(cnf_transformation,[status(thm)],[f113])).
% 7.15/1.36 fof(f115,plain,(
% 7.15/1.36 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 7.15/1.36 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 7.15/1.36 fof(f116,plain,(
% 7.15/1.36 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 7.15/1.36 inference(miniscoping,[status(thm)],[f115])).
% 7.15/1.36 fof(f117,plain,(
% 7.15/1.36 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 7.15/1.36 inference(cnf_transformation,[status(thm)],[f116])).
% 7.15/1.36 fof(f134,plain,(
% 7.15/1.36 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 7.15/1.36 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 7.15/1.36 fof(f135,plain,(
% 7.15/1.36 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 7.15/1.36 inference(miniscoping,[status(thm)],[f134])).
% 7.15/1.36 fof(f136,plain,(
% 7.15/1.36 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 7.15/1.36 inference(cnf_transformation,[status(thm)],[f135])).
% 7.15/1.36 fof(f139,plain,(
% 7.15/1.36 ![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))),
% 7.15/1.36 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 7.15/1.36 fof(f140,plain,(
% 7.15/1.36 ![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))),
% 7.15/1.36 inference(cnf_transformation,[status(thm)],[f139])).
% 7.15/1.36 fof(f143,plain,(
% 7.15/1.36 ![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))),
% 7.15/1.36 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 7.15/1.36 fof(f144,plain,(
% 7.15/1.36 ![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))),
% 7.15/1.36 inference(cnf_transformation,[status(thm)],[f143])).
% 7.15/1.36 fof(f145,plain,(
% 7.15/1.36 ![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))),
% 7.15/1.36 inference(pre_NNF_transformation,[status(thm)],[f22])).
% 7.15/1.36 fof(f146,plain,(
% 7.15/1.36 ![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))),
% 7.15/1.36 inference(miniscoping,[status(thm)],[f145])).
% 7.15/1.36 fof(f147,plain,(
% 7.15/1.36 ![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))),
% 7.15/1.36 inference(cnf_transformation,[status(thm)],[f146])).
% 7.15/1.36 fof(f184,plain,(
% 7.15/1.36 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 7.15/1.36 inference(pre_NNF_transformation,[status(thm)],[f39])).
% 7.15/1.36 fof(f185,plain,(
% 7.15/1.36 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 7.15/1.36 inference(miniscoping,[status(thm)],[f184])).
% 7.15/1.36 fof(f186,plain,(
% 7.15/1.36 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 7.15/1.36 inference(cnf_transformation,[status(thm)],[f185])).
% 7.15/1.36 fof(f187,plain,(
% 7.15/1.36 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 7.15/1.36 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 7.15/1.36 fof(f188,plain,(
% 7.15/1.36 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 7.15/1.36 inference(miniscoping,[status(thm)],[f187])).
% 7.15/1.36 fof(f189,plain,(
% 7.15/1.36 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 7.15/1.36 inference(cnf_transformation,[status(thm)],[f188])).
% 7.15/1.36 fof(f190,plain,(
% 7.15/1.36 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 7.15/1.36 inference(pre_NNF_transformation,[status(thm)],[f41])).
% 7.15/1.36 fof(f191,plain,(
% 7.15/1.36 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 7.15/1.36 inference(cnf_transformation,[status(thm)],[f190])).
% 7.15/1.36 fof(f194,plain,(
% 7.15/1.36 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 7.15/1.36 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 7.15/1.36 fof(f195,plain,(
% 7.15/1.36 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 7.15/1.36 inference(cnf_transformation,[status(thm)],[f194])).
% 7.15/1.36 fof(f196,plain,(
% 7.15/1.36 ![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))),
% 7.15/1.36 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 7.15/1.36 fof(f197,plain,(
% 7.15/1.36 ![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))),
% 7.15/1.36 inference(miniscoping,[status(thm)],[f196])).
% 7.15/1.36 fof(f198,plain,(
% 7.15/1.36 ![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))),
% 7.15/1.36 inference(cnf_transformation,[status(thm)],[f197])).
% 7.15/1.36 fof(f220,plain,(
% 7.15/1.36 ![A,B,C,M]: ((~perp(A,B,B,C)|~midp(M,A,C))|cong(A,M,B,M))),
% 7.15/1.36 inference(pre_NNF_transformation,[status(thm)],[f53])).
% 7.15/1.36 fof(f221,plain,(
% 7.15/1.36 ![A,B,M]: ((![C]: (~perp(A,B,B,C)|~midp(M,A,C)))|cong(A,M,B,M))),
% 7.15/1.36 inference(miniscoping,[status(thm)],[f220])).
% 7.15/1.36 fof(f222,plain,(
% 7.15/1.36 ![X0,X1,X2,X3]: (~perp(X0,X1,X1,X2)|~midp(X3,X0,X2)|cong(X0,X3,X1,X3))),
% 7.15/1.36 inference(cnf_transformation,[status(thm)],[f221])).
% 7.15/1.36 fof(f231,plain,(
% 7.15/1.36 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 7.15/1.36 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 7.15/1.36 fof(f232,plain,(
% 7.15/1.36 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 7.15/1.36 inference(cnf_transformation,[status(thm)],[f231])).
% 7.15/1.36 fof(f233,plain,(
% 7.15/1.36 ![A,B,P,Q]: (((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q))|perp(P,A,A,Q))),
% 7.15/1.36 inference(pre_NNF_transformation,[status(thm)],[f58])).
% 7.15/1.36 fof(f234,plain,(
% 7.15/1.36 ![A,P,Q]: ((![B]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q)))|perp(P,A,A,Q))),
% 7.15/1.36 inference(miniscoping,[status(thm)],[f233])).
% 7.15/1.36 fof(f235,plain,(
% 7.15/1.36 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|~cyclic(X0,X2,X1,X3)|perp(X1,X0,X0,X3))),
% 7.15/1.36 inference(cnf_transformation,[status(thm)],[f234])).
% 7.15/1.36 fof(f255,plain,(
% 7.15/1.36 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 7.15/1.36 inference(pre_NNF_transformation,[status(thm)],[f67])).
% 7.15/1.36 fof(f256,plain,(
% 7.15/1.36 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 7.15/1.36 inference(cnf_transformation,[status(thm)],[f255])).
% 7.15/1.36 fof(f257,plain,(
% 7.15/1.36 ![A,B,C]: ((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))),
% 7.15/1.36 inference(pre_NNF_transformation,[status(thm)],[f68])).
% 7.15/1.36 fof(f258,plain,(
% 7.15/1.36 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|~coll(X0,X1,X2)|midp(X0,X1,X2))),
% 7.15/1.36 inference(cnf_transformation,[status(thm)],[f257])).
% 7.15/1.36 fof(f369,plain,(
% 7.15/1.36 (?[A,B,C,O,P,Q,N,M,E,D,NWPNT1,NWPNT2]: (((((((((((((circle(O,A,B,C)&perp(P,O,A,C))&coll(P,A,C))&perp(Q,O,A,B))&coll(Q,A,B))&coll(N,O,P))&circle(O,A,N,NWPNT1))&coll(M,O,Q))&circle(O,A,M,NWPNT2))&coll(E,A,C))&coll(E,N,M))&coll(D,A,B))&coll(D,N,M))&~eqangle(A,D,D,E,D,E,E,A)))),
% 7.15/1.36 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 7.15/1.36 fof(f370,plain,(
% 7.15/1.36 ?[A,E,D]: ((?[N,M]: ((?[B]: (((?[C]: ((?[O]: ((?[Q]: (((?[P]: (((((circle(O,A,B,C)&perp(P,O,A,C))&coll(P,A,C))&perp(Q,O,A,B))&coll(Q,A,B))&coll(N,O,P)))&(?[NWPNT1]: circle(O,A,N,NWPNT1)))&coll(M,O,Q)))&(?[NWPNT2]: circle(O,A,M,NWPNT2))))&coll(E,A,C)))&coll(E,N,M))&coll(D,A,B)))&coll(D,N,M)))&~eqangle(A,D,D,E,D,E,E,A))),
% 7.15/1.36 inference(miniscoping,[status(thm)],[f369])).
% 7.15/1.36 fof(f371,plain,(
% 7.15/1.36 (((((((((((((circle(sK27_skl,sK20_skl,sK25_skl,sK26_skl)&perp(sK29_skl,sK27_skl,sK20_skl,sK26_skl))&coll(sK29_skl,sK20_skl,sK26_skl))&perp(sK28_skl,sK27_skl,sK20_skl,sK25_skl))&coll(sK28_skl,sK20_skl,sK25_skl))&coll(sK23_skl,sK27_skl,sK29_skl))&circle(sK27_skl,sK20_skl,sK23_skl,sK30_skl))&coll(sK24_skl,sK27_skl,sK28_skl))&circle(sK27_skl,sK20_skl,sK24_skl,sK31_skl))&coll(sK21_skl,sK20_skl,sK26_skl))&coll(sK21_skl,sK23_skl,sK24_skl))&coll(sK22_skl,sK20_skl,sK25_skl))&coll(sK22_skl,sK23_skl,sK24_skl))&~eqangle(sK20_skl,sK22_skl,sK22_skl,sK21_skl,sK22_skl,sK21_skl,sK21_skl,sK20_skl))),
% 7.15/1.36 inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl,sK21_skl,sK22_skl,sK23_skl,sK24_skl,sK25_skl,sK26_skl,sK27_skl,sK28_skl,sK29_skl,sK30_skl,sK31_skl]),skolemize(A,sK20_skl),skolemize(E,sK21_skl),skolemize(D,sK22_skl),skolemize(N,sK23_skl),skolemize(M,sK24_skl),skolemize(B,sK25_skl),skolemize(C,sK26_skl),skolemize(O,sK27_skl),skolemize(Q,sK28_skl),skolemize(P,sK29_skl),skolemize(NWPNT1,sK30_skl),skolemize(NWPNT2,sK31_skl)],[f370])).
% 7.15/1.36 fof(f373,plain,(
% 7.15/1.36 perp(sK29_skl,sK27_skl,sK20_skl,sK26_skl)),
% 7.15/1.36 inference(cnf_transformation,[status(thm)],[f371])).
% 7.15/1.36 fof(f385,plain,(
% 7.15/1.36 ~eqangle(sK20_skl,sK22_skl,sK22_skl,sK21_skl,sK22_skl,sK21_skl,sK21_skl,sK20_skl)),
% 7.15/1.36 inference(cnf_transformation,[status(thm)],[f371])).
% 7.15/1.36 fof(f405,plain,(
% 7.15/1.36 perp(sK20_skl,sK26_skl,sK29_skl,sK27_skl)),
% 7.15/1.36 inference(resolution,[status(thm)],[f114,f373])).
% 7.15/1.36 fof(f406,plain,(
% 7.15/1.36 ![X0,X1]: (~perp(sK20_skl,sK26_skl,X0,X1)|para(sK29_skl,sK27_skl,X0,X1))),
% 7.15/1.36 inference(resolution,[status(thm)],[f117,f373])).
% 7.15/1.36 fof(f536,plain,(
% 7.15/1.36 para(sK29_skl,sK27_skl,sK29_skl,sK27_skl)),
% 7.15/1.36 inference(resolution,[status(thm)],[f406,f405])).
% 7.15/1.36 fof(f793,plain,(
% 7.15/1.36 ![X0,X1]: (eqangle(sK29_skl,sK27_skl,X0,X1,sK29_skl,sK27_skl,X0,X1))),
% 7.15/1.36 inference(resolution,[status(thm)],[f536,f189])).
% 7.15/1.36 fof(f1605,plain,(
% 7.15/1.36 ![X0,X1]: (eqangle(sK29_skl,sK27_skl,sK29_skl,sK27_skl,X0,X1,X0,X1))),
% 7.15/1.36 inference(resolution,[status(thm)],[f793,f144])).
% 7.15/1.36 fof(f1607,plain,(
% 7.15/1.36 ![X0,X1]: (eqangle(X0,X1,sK29_skl,sK27_skl,X0,X1,sK29_skl,sK27_skl))),
% 7.15/1.36 inference(resolution,[status(thm)],[f793,f140])).
% 7.15/1.36 fof(f3009,plain,(
% 7.15/1.36 ![X0,X1]: (para(X0,X1,X0,X1))),
% 7.15/1.36 inference(resolution,[status(thm)],[f1607,f186])).
% 7.15/1.36 fof(f3065,plain,(
% 7.15/1.36 ![X0,X1]: (coll(X0,X1,X1))),
% 7.15/1.36 inference(resolution,[status(thm)],[f3009,f256])).
% 7.15/1.36 fof(f3172,plain,(
% 7.15/1.36 ![X0,X1]: (coll(X0,X1,X0))),
% 7.15/1.36 inference(resolution,[status(thm)],[f3065,f100])).
% 7.15/1.36 fof(f3267,plain,(
% 7.15/1.36 ![X0,X1]: (coll(X0,X0,X1))),
% 7.15/1.36 inference(resolution,[status(thm)],[f3172,f98])).
% 7.15/1.36 fof(f3314,plain,(
% 7.15/1.36 ![X0,X1,X2]: (~coll(X0,X0,X1)|coll(X2,X1,X0))),
% 7.15/1.36 inference(resolution,[status(thm)],[f3267,f103])).
% 7.15/1.36 fof(f3317,plain,(
% 7.15/1.36 ![X0,X1,X2]: (coll(X0,X1,X2))),
% 7.15/1.36 inference(forward_subsumption_resolution,[status(thm)],[f3314,f3267])).
% 7.15/1.36 fof(f3320,plain,(
% 7.15/1.36 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|midp(X0,X1,X2))),
% 7.15/1.36 inference(backward_subsumption_resolution,[status(thm)],[f258,f3317])).
% 7.15/1.36 fof(f3323,plain,(
% 7.15/1.36 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|cyclic(X1,X2,X0,X3))),
% 7.15/1.36 inference(backward_subsumption_resolution,[status(thm)],[f195,f3317])).
% 7.15/1.36 fof(f3349,plain,(
% 7.15/1.36 ![X0]: (cyclic(sK27_skl,sK27_skl,sK29_skl,X0))),
% 7.15/1.36 inference(resolution,[status(thm)],[f3323,f1605])).
% 7.15/1.36 fof(f5490,plain,(
% 7.15/1.36 ![X0,X1]: (~cyclic(sK27_skl,sK27_skl,sK29_skl,X0)|cyclic(sK27_skl,sK29_skl,X1,X0))),
% 7.15/1.36 inference(resolution,[status(thm)],[f3349,f136])).
% 7.15/1.36 fof(f5504,plain,(
% 7.15/1.36 ![X0,X1]: (cyclic(sK27_skl,sK29_skl,X0,X1))),
% 7.15/1.36 inference(forward_subsumption_resolution,[status(thm)],[f5490,f3349])).
% 7.15/1.36 fof(f5520,plain,(
% 7.15/1.36 ![X0,X1,X2]: (~cyclic(sK27_skl,sK29_skl,X0,X1)|cyclic(sK29_skl,X0,X2,X1))),
% 7.15/1.36 inference(resolution,[status(thm)],[f5504,f136])).
% 7.15/1.36 fof(f5531,plain,(
% 7.15/1.36 ![X0,X1,X2]: (cyclic(sK29_skl,X0,X1,X2))),
% 7.15/1.36 inference(forward_subsumption_resolution,[status(thm)],[f5520,f5504])).
% 7.15/1.36 fof(f5535,plain,(
% 7.15/1.36 ![X0,X1,X2,X3]: (~cyclic(sK29_skl,X0,X1,X2)|cyclic(X0,X1,X3,X2))),
% 7.15/1.36 inference(resolution,[status(thm)],[f5531,f136])).
% 7.15/1.36 fof(f5539,plain,(
% 7.15/1.36 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3))),
% 7.15/1.36 inference(forward_subsumption_resolution,[status(thm)],[f5535,f5531])).
% 7.15/1.36 fof(f5573,plain,(
% 7.15/1.36 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X1,X0,X0,X3))),
% 7.15/1.36 inference(backward_subsumption_resolution,[status(thm)],[f235,f5539])).
% 7.15/1.36 fof(f5574,plain,(
% 7.15/1.36 ![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))),
% 7.15/1.36 inference(backward_subsumption_resolution,[status(thm)],[f198,f5539])).
% 7.15/1.36 fof(f5583,plain,(
% 7.15/1.36 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2))),
% 7.15/1.36 inference(backward_subsumption_resolution,[status(thm)],[f191,f5539])).
% 7.15/1.36 fof(f5584,plain,(
% 7.15/1.36 ![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))),
% 7.15/1.36 inference(forward_subsumption_resolution,[status(thm)],[f5574,f5539])).
% 7.15/1.36 fof(f5600,plain,(
% 7.15/1.36 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X0,X2,X3,X4,X3,X5)|cong(X1,X2,X4,X5))),
% 7.15/1.37 inference(forward_subsumption_resolution,[status(thm)],[f5584,f5539])).
% 7.15/1.37 fof(f5641,plain,(
% 7.15/1.37 ![X0,X1]: (cong(X0,X1,X0,X1))),
% 7.15/1.37 inference(resolution,[status(thm)],[f5583,f5600])).
% 7.15/1.37 fof(f5659,plain,(
% 7.15/1.37 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X2,X0,X0,X1))),
% 7.15/1.37 inference(resolution,[status(thm)],[f5641,f5573])).
% 7.15/1.37 fof(f5660,plain,(
% 7.15/1.37 ![X0,X1]: (midp(X0,X1,X1))),
% 7.15/1.37 inference(resolution,[status(thm)],[f5641,f3320])).
% 7.15/1.37 fof(f5671,plain,(
% 7.15/1.37 ![X0,X1,X2]: (perp(X0,X1,X1,X2))),
% 7.15/1.37 inference(forward_subsumption_resolution,[status(thm)],[f5659,f5641])).
% 7.15/1.37 fof(f5707,plain,(
% 7.15/1.37 ![X0,X1,X2,X3]: (~midp(X0,X1,X2)|cong(X1,X0,X3,X0))),
% 7.15/1.37 inference(backward_subsumption_resolution,[status(thm)],[f222,f5671])).
% 7.15/1.37 fof(f5866,plain,(
% 7.15/1.37 ![X0,X1,X2]: (cong(X0,X1,X2,X1))),
% 7.15/1.37 inference(resolution,[status(thm)],[f5707,f5660])).
% 7.15/1.37 fof(f6244,plain,(
% 7.15/1.37 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|perp(X0,X2,X1,X3))),
% 7.15/1.37 inference(backward_subsumption_resolution,[status(thm)],[f232,f5866])).
% 7.15/1.37 fof(f6261,plain,(
% 7.15/1.37 ![X0,X1,X2,X3]: (perp(X0,X1,X2,X3))),
% 7.15/1.37 inference(forward_subsumption_resolution,[status(thm)],[f6244,f5866])).
% 7.15/1.37 fof(f6265,plain,(
% 7.15/1.37 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|para(X0,X1,X4,X5))),
% 7.15/1.37 inference(backward_subsumption_resolution,[status(thm)],[f117,f6261])).
% 7.15/1.37 fof(f6328,plain,(
% 7.15/1.37 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3))),
% 7.15/1.37 inference(forward_subsumption_resolution,[status(thm)],[f6265,f6261])).
% 7.15/1.37 fof(f6371,plain,(
% 7.15/1.37 ![X0,X1,X2,X3,X4,X5]: (eqangle(X0,X1,X2,X3,X4,X5,X2,X3))),
% 7.15/1.37 inference(backward_subsumption_resolution,[status(thm)],[f189,f6328])).
% 7.15/1.37 fof(f6483,plain,(
% 7.15/1.37 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|eqangle(X8,X9,X2,X3,X4,X5,X6,X7))),
% 7.15/1.37 inference(resolution,[status(thm)],[f6371,f147])).
% 7.15/1.37 fof(f6486,plain,(
% 7.15/1.37 ![X0,X1,X2,X3,X4,X5]: (eqangle(X0,X1,X2,X3,X0,X1,X4,X5))),
% 7.15/1.37 inference(resolution,[status(thm)],[f6371,f140])).
% 7.15/1.37 fof(f6676,plain,(
% 7.15/1.37 ![X0,X1,X2,X3,X4,X5,X6,X7]: (eqangle(X0,X1,X2,X3,X4,X5,X6,X7))),
% 7.15/1.37 inference(resolution,[status(thm)],[f6486,f6483])).
% 7.15/1.37 fof(f7271,plain,(
% 7.15/1.37 $false),
% 7.15/1.37 inference(backward_subsumption_resolution,[status(thm)],[f385,f6676])).
% 7.15/1.37 % SZS output end CNFRefutation for theBenchmark.p
% 7.15/1.38 % Elapsed time: 1.011884 seconds
% 7.15/1.38 % CPU time: 7.718553 seconds
% 7.15/1.38 % Total memory used: 142.549 MB
% 7.15/1.38 % Net memory used: 135.430 MB
%------------------------------------------------------------------------------