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Drodi-SAT---4.1.1.THM-Ass.s

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : GEO574+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 : n016.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 2.82s 0.85s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO574+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
% 0.10/0.36  % Computer : n016.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % 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 17:45:36 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.39  % Drodi V4.1.1
% 2.82/0.85  % Refutation found
% 2.82/0.85  % SZS status Theorem for theBenchmark: Theorem is valid
% 2.82/0.85  % SZS output start CNFRefutation for theBenchmark
% 2.82/0.85  fof(f1,axiom,(
% 2.82/0.85    (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 2.82/0.85    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.82/0.85  fof(f2,axiom,(
% 2.82/0.85    (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 2.82/0.85    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.82/0.85  fof(f3,axiom,(
% 2.82/0.85    (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 2.82/0.85    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.82/0.85  fof(f4,axiom,(
% 2.82/0.85    (! [A,B,C,D] :( para(A,B,C,D)=> para(A,B,D,C) ) )),
% 2.82/0.85    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.82/0.85  fof(f8,axiom,(
% 2.82/0.85    (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 2.82/0.85    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.82/0.85  fof(f9,axiom,(
% 2.82/0.85    (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 2.82/0.85    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.82/0.85  fof(f11,axiom,(
% 2.82/0.85    (! [A,B,M] :( midp(M,B,A)=> midp(M,A,B) ) )),
% 2.82/0.85    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.82/0.85  fof(f14,axiom,(
% 2.82/0.85    (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,B,D,C) ) )),
% 2.82/0.85    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.82/0.85  fof(f15,axiom,(
% 2.82/0.85    (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,C,B,D) ) )),
% 2.82/0.85    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.82/0.85  fof(f16,axiom,(
% 2.82/0.85    (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(B,A,C,D) ) )),
% 2.82/0.85    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.82/0.85  fof(f17,axiom,(
% 2.82/0.85    (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 2.82/0.85    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.82/0.85  fof(f18,axiom,(
% 2.82/0.85    (! [A,B,C,D,P,Q,U,V] :( eqangle(A,B,C,D,P,Q,U,V)=> eqangle(B,A,C,D,P,Q,U,V) ) )),
% 2.82/0.85    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.82/0.85  fof(f19,axiom,(
% 2.82/0.85    (! [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) ) )),
% 2.82/0.85    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.82/0.85  fof(f20,axiom,(
% 2.82/0.85    (! [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) ) )),
% 2.82/0.85    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.82/0.85  fof(f21,axiom,(
% 2.82/0.85    (! [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) ) )),
% 2.82/0.85    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.82/0.85  fof(f22,axiom,(
% 2.82/0.85    (! [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) ) )),
% 2.82/0.85    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.82/0.85  fof(f39,axiom,(
% 2.82/0.85    (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 2.82/0.85    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.82/0.85  fof(f40,axiom,(
% 2.82/0.85    (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 2.82/0.85    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.82/0.85  fof(f41,axiom,(
% 2.82/0.85    (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 2.82/0.85    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.82/0.85  fof(f43,axiom,(
% 2.82/0.85    (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 2.82/0.85    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.82/0.85  fof(f44,axiom,(
% 2.82/0.85    (! [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) ) )),
% 2.82/0.85    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.82/0.85  fof(f46,axiom,(
% 2.82/0.85    (! [A,B,C,E,F] :( ( midp(E,A,B)& para(E,F,B,C)& coll(F,A,C) )=> midp(F,A,C) ) )),
% 2.82/0.85    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.82/0.85  fof(f56,axiom,(
% 2.82/0.85    (! [A,B,M,O] :( ( midp(M,A,B)& perp(O,M,A,B) )=> cong(O,A,O,B) ) )),
% 2.82/0.85    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.82/0.85  fof(f58,axiom,(
% 2.82/0.85    (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q)& cyclic(A,B,P,Q) )=> perp(P,A,A,Q) ) )),
% 2.82/0.85    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.82/0.85  fof(f64,axiom,(
% 2.82/0.85    (! [A,B,C,D,M] :( ( midp(M,A,B)& midp(M,C,D) )=> para(A,C,B,D) ) )),
% 2.82/0.85    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.82/0.85  fof(f67,axiom,(
% 2.82/0.85    (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 2.82/0.85    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.82/0.85  fof(f68,axiom,(
% 2.82/0.85    (! [A,B,C] :( ( cong(A,B,A,C)& coll(A,B,C) )=> midp(A,B,C) ) )),
% 2.82/0.85    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.82/0.85  fof(f95,conjecture,(
% 2.82/0.85    (! [A,B,C,O,D,E,H,O1] :( ( circle(O,A,B,C)& perp(D,C,A,B)& coll(D,A,B)& perp(E,B,A,C)& coll(E,A,C)& coll(H,C,D)& coll(H,B,E)& circle(O1,A,H,B) )=> eqangle(O1,A,A,B,B,A,A,O) ) )),
% 2.82/0.85    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.82/0.85  fof(f96,negated_conjecture,(
% 2.82/0.85    ~((! [A,B,C,O,D,E,H,O1] :( ( circle(O,A,B,C)& perp(D,C,A,B)& coll(D,A,B)& perp(E,B,A,C)& coll(E,A,C)& coll(H,C,D)& coll(H,B,E)& circle(O1,A,H,B) )=> eqangle(O1,A,A,B,B,A,A,O) ) ))),
% 2.82/0.85    inference(negated_conjecture,[status(cth)],[f95])).
% 2.82/0.85  fof(f97,plain,(
% 2.82/0.85    ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 2.82/0.85    inference(pre_NNF_transformation,[status(thm)],[f1])).
% 2.82/0.85  fof(f98,plain,(
% 2.82/0.85    ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 2.82/0.85    inference(cnf_transformation,[status(thm)],[f97])).
% 2.82/0.85  fof(f99,plain,(
% 2.82/0.85    ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 2.82/0.85    inference(pre_NNF_transformation,[status(thm)],[f2])).
% 2.82/0.85  fof(f100,plain,(
% 2.82/0.85    ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 2.82/0.85    inference(cnf_transformation,[status(thm)],[f99])).
% 2.82/0.85  fof(f101,plain,(
% 2.82/0.85    ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 2.82/0.85    inference(pre_NNF_transformation,[status(thm)],[f3])).
% 2.82/0.85  fof(f102,plain,(
% 2.82/0.85    ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 2.82/0.85    inference(miniscoping,[status(thm)],[f101])).
% 2.82/0.85  fof(f103,plain,(
% 2.82/0.85    ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 2.82/0.85    inference(cnf_transformation,[status(thm)],[f102])).
% 2.82/0.85  fof(f104,plain,(
% 2.82/0.85    ![A,B,C,D]: (~para(A,B,C,D)|para(A,B,D,C))),
% 2.82/0.85    inference(pre_NNF_transformation,[status(thm)],[f4])).
% 2.82/0.85  fof(f105,plain,(
% 2.82/0.85    ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X0,X1,X3,X2))),
% 2.82/0.85    inference(cnf_transformation,[status(thm)],[f104])).
% 2.82/0.85  fof(f113,plain,(
% 2.82/0.85    ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 2.82/0.85    inference(pre_NNF_transformation,[status(thm)],[f8])).
% 2.82/0.85  fof(f114,plain,(
% 2.82/0.85    ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 2.82/0.85    inference(cnf_transformation,[status(thm)],[f113])).
% 2.82/0.85  fof(f115,plain,(
% 2.82/0.85    ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 2.82/0.85    inference(pre_NNF_transformation,[status(thm)],[f9])).
% 2.82/0.85  fof(f116,plain,(
% 2.82/0.85    ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 2.82/0.85    inference(miniscoping,[status(thm)],[f115])).
% 2.82/0.85  fof(f117,plain,(
% 2.82/0.85    ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 2.82/0.85    inference(cnf_transformation,[status(thm)],[f116])).
% 2.82/0.85  fof(f121,plain,(
% 2.82/0.85    ![A,B,M]: (~midp(M,B,A)|midp(M,A,B))),
% 2.82/0.85    inference(pre_NNF_transformation,[status(thm)],[f11])).
% 2.82/0.85  fof(f122,plain,(
% 2.82/0.85    ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X0,X2,X1))),
% 2.82/0.85    inference(cnf_transformation,[status(thm)],[f121])).
% 2.82/0.85  fof(f128,plain,(
% 2.82/0.85    ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,B,D,C))),
% 2.82/0.85    inference(pre_NNF_transformation,[status(thm)],[f14])).
% 2.82/0.85  fof(f129,plain,(
% 2.82/0.85    ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X1,X3,X2))),
% 2.82/0.85    inference(cnf_transformation,[status(thm)],[f128])).
% 2.82/0.85  fof(f130,plain,(
% 2.82/0.85    ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,C,B,D))),
% 2.82/0.85    inference(pre_NNF_transformation,[status(thm)],[f15])).
% 2.82/0.85  fof(f131,plain,(
% 2.82/0.85    ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X2,X1,X3))),
% 2.82/0.85    inference(cnf_transformation,[status(thm)],[f130])).
% 2.82/0.85  fof(f132,plain,(
% 2.82/0.85    ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(B,A,C,D))),
% 2.82/0.85    inference(pre_NNF_transformation,[status(thm)],[f16])).
% 2.82/0.85  fof(f133,plain,(
% 2.82/0.85    ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X1,X0,X2,X3))),
% 2.82/0.85    inference(cnf_transformation,[status(thm)],[f132])).
% 2.82/0.85  fof(f134,plain,(
% 2.82/0.85    ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 2.82/0.85    inference(pre_NNF_transformation,[status(thm)],[f17])).
% 2.82/0.85  fof(f135,plain,(
% 2.82/0.85    ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 2.82/0.85    inference(miniscoping,[status(thm)],[f134])).
% 2.82/0.85  fof(f136,plain,(
% 2.82/0.85    ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 2.82/0.85    inference(cnf_transformation,[status(thm)],[f135])).
% 2.82/0.85  fof(f137,plain,(
% 2.82/0.85    ![A,B,C,D,P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|eqangle(B,A,C,D,P,Q,U,V))),
% 2.82/0.85    inference(pre_NNF_transformation,[status(thm)],[f18])).
% 2.82/0.85  fof(f138,plain,(
% 2.82/0.85    ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|eqangle(X1,X0,X2,X3,X4,X5,X6,X7))),
% 2.82/0.85    inference(cnf_transformation,[status(thm)],[f137])).
% 2.82/0.85  fof(f139,plain,(
% 2.82/0.85    ![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))),
% 2.82/0.85    inference(pre_NNF_transformation,[status(thm)],[f19])).
% 2.82/0.85  fof(f140,plain,(
% 2.82/0.85    ![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))),
% 2.82/0.85    inference(cnf_transformation,[status(thm)],[f139])).
% 2.82/0.85  fof(f141,plain,(
% 2.82/0.85    ![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))),
% 2.82/0.85    inference(pre_NNF_transformation,[status(thm)],[f20])).
% 2.82/0.85  fof(f142,plain,(
% 2.82/0.85    ![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))),
% 2.82/0.85    inference(cnf_transformation,[status(thm)],[f141])).
% 2.82/0.85  fof(f143,plain,(
% 2.82/0.85    ![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))),
% 2.82/0.85    inference(pre_NNF_transformation,[status(thm)],[f21])).
% 2.82/0.85  fof(f144,plain,(
% 2.82/0.85    ![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))),
% 2.82/0.85    inference(cnf_transformation,[status(thm)],[f143])).
% 2.82/0.85  fof(f145,plain,(
% 2.82/0.85    ![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))),
% 2.82/0.85    inference(pre_NNF_transformation,[status(thm)],[f22])).
% 2.82/0.85  fof(f146,plain,(
% 2.82/0.85    ![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))),
% 2.82/0.85    inference(miniscoping,[status(thm)],[f145])).
% 2.82/0.85  fof(f147,plain,(
% 2.82/0.85    ![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))),
% 2.82/0.85    inference(cnf_transformation,[status(thm)],[f146])).
% 2.82/0.85  fof(f184,plain,(
% 2.82/0.85    ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 2.82/0.85    inference(pre_NNF_transformation,[status(thm)],[f39])).
% 2.82/0.85  fof(f185,plain,(
% 2.82/0.85    ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 2.82/0.85    inference(miniscoping,[status(thm)],[f184])).
% 2.82/0.85  fof(f186,plain,(
% 2.82/0.85    ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 2.82/0.85    inference(cnf_transformation,[status(thm)],[f185])).
% 2.82/0.85  fof(f187,plain,(
% 2.82/0.85    ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 2.82/0.85    inference(pre_NNF_transformation,[status(thm)],[f40])).
% 2.82/0.85  fof(f188,plain,(
% 2.82/0.85    ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 2.82/0.85    inference(miniscoping,[status(thm)],[f187])).
% 2.82/0.85  fof(f189,plain,(
% 2.82/0.85    ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 2.82/0.85    inference(cnf_transformation,[status(thm)],[f188])).
% 2.82/0.85  fof(f190,plain,(
% 2.82/0.85    ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 2.82/0.85    inference(pre_NNF_transformation,[status(thm)],[f41])).
% 2.82/0.85  fof(f191,plain,(
% 2.82/0.85    ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 2.82/0.85    inference(cnf_transformation,[status(thm)],[f190])).
% 2.82/0.85  fof(f194,plain,(
% 2.82/0.85    ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 2.82/0.85    inference(pre_NNF_transformation,[status(thm)],[f43])).
% 2.82/0.85  fof(f195,plain,(
% 2.82/0.85    ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 2.82/0.85    inference(cnf_transformation,[status(thm)],[f194])).
% 2.82/0.85  fof(f196,plain,(
% 2.82/0.85    ![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))),
% 2.82/0.85    inference(pre_NNF_transformation,[status(thm)],[f44])).
% 2.82/0.85  fof(f197,plain,(
% 2.82/0.85    ![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))),
% 2.82/0.85    inference(miniscoping,[status(thm)],[f196])).
% 2.82/0.85  fof(f198,plain,(
% 2.82/0.85    ![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))),
% 2.82/0.85    inference(cnf_transformation,[status(thm)],[f197])).
% 2.82/0.85  fof(f202,plain,(
% 2.82/0.85    ![A,B,C,E,F]: (((~midp(E,A,B)|~para(E,F,B,C))|~coll(F,A,C))|midp(F,A,C))),
% 2.82/0.85    inference(pre_NNF_transformation,[status(thm)],[f46])).
% 2.82/0.85  fof(f203,plain,(
% 2.82/0.85    ![A,C,F]: (((![B,E]: (~midp(E,A,B)|~para(E,F,B,C)))|~coll(F,A,C))|midp(F,A,C))),
% 2.82/0.85    inference(miniscoping,[status(thm)],[f202])).
% 2.82/0.85  fof(f204,plain,(
% 2.82/0.85    ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X0,X3,X2,X4)|~coll(X3,X1,X4)|midp(X3,X1,X4))),
% 2.82/0.85    inference(cnf_transformation,[status(thm)],[f203])).
% 2.82/0.85  fof(f228,plain,(
% 2.82/0.85    ![A,B,M,O]: ((~midp(M,A,B)|~perp(O,M,A,B))|cong(O,A,O,B))),
% 2.82/0.85    inference(pre_NNF_transformation,[status(thm)],[f56])).
% 2.82/0.85  fof(f229,plain,(
% 2.82/0.85    ![A,B,O]: ((![M]: (~midp(M,A,B)|~perp(O,M,A,B)))|cong(O,A,O,B))),
% 2.82/0.85    inference(miniscoping,[status(thm)],[f228])).
% 2.82/0.85  fof(f230,plain,(
% 2.82/0.85    ![X0,X1,X2,X3]: (~midp(X0,X1,X2)|~perp(X3,X0,X1,X2)|cong(X3,X1,X3,X2))),
% 2.82/0.85    inference(cnf_transformation,[status(thm)],[f229])).
% 2.82/0.85  fof(f233,plain,(
% 2.82/0.85    ![A,B,P,Q]: (((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q))|perp(P,A,A,Q))),
% 2.82/0.85    inference(pre_NNF_transformation,[status(thm)],[f58])).
% 2.82/0.85  fof(f234,plain,(
% 2.82/0.85    ![A,P,Q]: ((![B]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q)))|perp(P,A,A,Q))),
% 2.82/0.85    inference(miniscoping,[status(thm)],[f233])).
% 2.82/0.85  fof(f235,plain,(
% 2.82/0.85    ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|~cyclic(X0,X2,X1,X3)|perp(X1,X0,X0,X3))),
% 2.82/0.85    inference(cnf_transformation,[status(thm)],[f234])).
% 2.82/0.85  fof(f247,plain,(
% 2.82/0.85    ![A,B,C,D,M]: ((~midp(M,A,B)|~midp(M,C,D))|para(A,C,B,D))),
% 2.82/0.85    inference(pre_NNF_transformation,[status(thm)],[f64])).
% 2.82/0.85  fof(f248,plain,(
% 2.82/0.85    ![A,B,C,D]: ((![M]: (~midp(M,A,B)|~midp(M,C,D)))|para(A,C,B,D))),
% 2.82/0.85    inference(miniscoping,[status(thm)],[f247])).
% 2.82/0.85  fof(f249,plain,(
% 2.82/0.85    ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~midp(X0,X3,X4)|para(X1,X3,X2,X4))),
% 2.82/0.85    inference(cnf_transformation,[status(thm)],[f248])).
% 2.82/0.85  fof(f255,plain,(
% 2.82/0.85    ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 2.82/0.85    inference(pre_NNF_transformation,[status(thm)],[f67])).
% 2.82/0.85  fof(f256,plain,(
% 2.82/0.85    ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 2.82/0.85    inference(cnf_transformation,[status(thm)],[f255])).
% 2.82/0.85  fof(f257,plain,(
% 2.82/0.85    ![A,B,C]: ((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))),
% 2.82/0.85    inference(pre_NNF_transformation,[status(thm)],[f68])).
% 2.82/0.85  fof(f258,plain,(
% 2.82/0.85    ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|~coll(X0,X1,X2)|midp(X0,X1,X2))),
% 2.82/0.85    inference(cnf_transformation,[status(thm)],[f257])).
% 2.82/0.85  fof(f369,plain,(
% 2.82/0.85    (?[A,B,C,O,D,E,H,O1]: ((((((((circle(O,A,B,C)&perp(D,C,A,B))&coll(D,A,B))&perp(E,B,A,C))&coll(E,A,C))&coll(H,C,D))&coll(H,B,E))&circle(O1,A,H,B))&~eqangle(O1,A,A,B,B,A,A,O)))),
% 2.82/0.85    inference(pre_NNF_transformation,[status(thm)],[f96])).
% 2.82/0.85  fof(f370,plain,(
% 2.82/0.85    ?[A,B,O,O1]: ((?[H]: ((?[E]: ((?[C,D]: (((((circle(O,A,B,C)&perp(D,C,A,B))&coll(D,A,B))&perp(E,B,A,C))&coll(E,A,C))&coll(H,C,D)))&coll(H,B,E)))&circle(O1,A,H,B)))&~eqangle(O1,A,A,B,B,A,A,O))),
% 2.82/0.85    inference(miniscoping,[status(thm)],[f369])).
% 2.82/0.85  fof(f371,plain,(
% 2.82/0.85    ((((((((circle(sK22_skl,sK20_skl,sK21_skl,sK26_skl)&perp(sK27_skl,sK26_skl,sK20_skl,sK21_skl))&coll(sK27_skl,sK20_skl,sK21_skl))&perp(sK25_skl,sK21_skl,sK20_skl,sK26_skl))&coll(sK25_skl,sK20_skl,sK26_skl))&coll(sK24_skl,sK26_skl,sK27_skl))&coll(sK24_skl,sK21_skl,sK25_skl))&circle(sK23_skl,sK20_skl,sK24_skl,sK21_skl))&~eqangle(sK23_skl,sK20_skl,sK20_skl,sK21_skl,sK21_skl,sK20_skl,sK20_skl,sK22_skl))),
% 2.82/0.85    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(O,sK22_skl),skolemize(O1,sK23_skl),skolemize(H,sK24_skl),skolemize(E,sK25_skl),skolemize(C,sK26_skl),skolemize(D,sK27_skl)],[f370])).
% 2.82/0.85  fof(f373,plain,(
% 2.82/0.85    perp(sK27_skl,sK26_skl,sK20_skl,sK21_skl)),
% 2.82/0.85    inference(cnf_transformation,[status(thm)],[f371])).
% 2.82/0.85  fof(f374,plain,(
% 2.82/0.85    coll(sK27_skl,sK20_skl,sK21_skl)),
% 2.82/0.85    inference(cnf_transformation,[status(thm)],[f371])).
% 2.82/0.85  fof(f380,plain,(
% 2.82/0.85    ~eqangle(sK23_skl,sK20_skl,sK20_skl,sK21_skl,sK21_skl,sK20_skl,sK20_skl,sK22_skl)),
% 2.82/0.85    inference(cnf_transformation,[status(thm)],[f371])).
% 2.82/0.85  fof(f384,plain,(
% 2.82/0.85    coll(sK27_skl,sK21_skl,sK20_skl)),
% 2.82/0.85    inference(resolution,[status(thm)],[f98,f374])).
% 2.82/0.85  fof(f395,plain,(
% 2.82/0.85    coll(sK21_skl,sK27_skl,sK20_skl)),
% 2.82/0.85    inference(resolution,[status(thm)],[f100,f384])).
% 2.82/0.85  fof(f424,plain,(
% 2.82/0.85    ![X0]: (~coll(sK21_skl,sK27_skl,X0)|coll(X0,sK20_skl,sK21_skl))),
% 2.82/0.85    inference(resolution,[status(thm)],[f395,f103])).
% 2.82/0.85  fof(f460,plain,(
% 2.82/0.85    perp(sK20_skl,sK21_skl,sK27_skl,sK26_skl)),
% 2.82/0.85    inference(resolution,[status(thm)],[f114,f373])).
% 2.82/0.85  fof(f500,plain,(
% 2.82/0.85    ![X0,X1]: (~perp(X0,X1,sK27_skl,sK26_skl)|para(X0,X1,sK20_skl,sK21_skl))),
% 2.82/0.85    inference(resolution,[status(thm)],[f117,f373])).
% 2.82/0.85  fof(f657,plain,(
% 2.82/0.85    coll(sK20_skl,sK20_skl,sK21_skl)),
% 2.82/0.85    inference(resolution,[status(thm)],[f424,f395])).
% 2.82/0.85  fof(f797,plain,(
% 2.82/0.85    para(sK20_skl,sK21_skl,sK20_skl,sK21_skl)),
% 2.82/0.85    inference(resolution,[status(thm)],[f500,f460])).
% 2.82/0.85  fof(f1156,plain,(
% 2.82/0.85    ![X0,X1]: (eqangle(sK20_skl,sK21_skl,X0,X1,sK20_skl,sK21_skl,X0,X1))),
% 2.82/0.85    inference(resolution,[status(thm)],[f189,f797])).
% 2.82/0.85  fof(f1950,plain,(
% 2.82/0.85    ![X0,X1]: (eqangle(X0,X1,sK20_skl,sK21_skl,X0,X1,sK20_skl,sK21_skl))),
% 2.82/0.85    inference(resolution,[status(thm)],[f1156,f140])).
% 2.82/0.85  fof(f2854,plain,(
% 2.82/0.85    ![X0]: (~coll(sK20_skl,sK20_skl,sK21_skl)|cyclic(X0,sK21_skl,sK20_skl,sK20_skl))),
% 2.82/0.85    inference(resolution,[status(thm)],[f1950,f195])).
% 2.82/0.85  fof(f2856,plain,(
% 2.82/0.85    ![X0,X1]: (para(X0,X1,X0,X1))),
% 2.82/0.85    inference(resolution,[status(thm)],[f1950,f186])).
% 2.82/0.85  fof(f2866,plain,(
% 2.82/0.85    ![X0]: (cyclic(X0,sK21_skl,sK20_skl,sK20_skl))),
% 2.82/0.85    inference(forward_subsumption_resolution,[status(thm)],[f2854,f657])).
% 2.82/0.85  fof(f2873,plain,(
% 2.82/0.85    ![X0,X1]: (coll(X0,X1,X1))),
% 2.82/0.85    inference(resolution,[status(thm)],[f2856,f256])).
% 2.82/0.85  fof(f2876,plain,(
% 2.82/0.85    ![X0,X1]: (para(X0,X1,X1,X0))),
% 2.82/0.85    inference(resolution,[status(thm)],[f2856,f105])).
% 2.82/0.85  fof(f3077,plain,(
% 2.82/0.85    ![X0,X1]: (coll(X0,X1,X0))),
% 2.82/0.85    inference(resolution,[status(thm)],[f2873,f100])).
% 2.82/0.85  fof(f3265,plain,(
% 2.82/0.85    ![X0,X1]: (coll(X0,X0,X1))),
% 2.82/0.85    inference(resolution,[status(thm)],[f3077,f98])).
% 2.82/0.85  fof(f3296,plain,(
% 2.82/0.85    ![X0,X1,X2]: (~coll(X0,X0,X1)|coll(X1,X2,X0))),
% 2.82/0.85    inference(resolution,[status(thm)],[f3265,f103])).
% 2.82/0.85  fof(f3299,plain,(
% 2.82/0.85    ![X0,X1,X2]: (coll(X0,X1,X2))),
% 2.82/0.85    inference(forward_subsumption_resolution,[status(thm)],[f3296,f3265])).
% 2.82/0.85  fof(f3300,plain,(
% 2.82/0.85    ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|midp(X0,X1,X2))),
% 2.82/0.85    inference(backward_subsumption_resolution,[status(thm)],[f258,f3299])).
% 2.82/0.85  fof(f3302,plain,(
% 2.82/0.85    ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X0,X3,X2,X4)|midp(X3,X1,X4))),
% 2.82/0.85    inference(backward_subsumption_resolution,[status(thm)],[f204,f3299])).
% 2.82/0.85  fof(f3311,plain,(
% 2.82/0.85    ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X3,X1,X0,X2,X3))),
% 2.82/0.85    inference(resolution,[status(thm)],[f2876,f189])).
% 2.82/0.85  fof(f3319,plain,(
% 2.82/0.85    ![X0,X1,X2]: (~midp(X0,X1,X0)|midp(X2,X1,X2))),
% 2.82/0.85    inference(resolution,[status(thm)],[f3302,f2856])).
% 2.82/0.85  fof(f3322,plain,(
% 2.82/0.85    ![X0]: (cyclic(sK21_skl,X0,sK20_skl,sK20_skl))),
% 2.82/0.85    inference(resolution,[status(thm)],[f2866,f133])).
% 2.82/0.85  fof(f3328,plain,(
% 2.82/0.85    ![X0]: (cyclic(sK21_skl,sK20_skl,X0,sK20_skl))),
% 2.82/0.85    inference(resolution,[status(thm)],[f3322,f131])).
% 2.82/0.85  fof(f3339,plain,(
% 2.82/0.85    ![X0]: (cyclic(sK21_skl,sK20_skl,sK20_skl,X0))),
% 2.82/0.85    inference(resolution,[status(thm)],[f3328,f129])).
% 2.82/0.85  fof(f3356,plain,(
% 2.82/0.85    ![X0,X1]: (~cyclic(sK21_skl,sK20_skl,sK20_skl,X0)|cyclic(sK20_skl,sK20_skl,X0,X1))),
% 2.82/0.85    inference(resolution,[status(thm)],[f3339,f136])).
% 2.82/0.85  fof(f3360,plain,(
% 2.82/0.85    ![X0,X1]: (cyclic(sK20_skl,sK20_skl,X0,X1))),
% 2.82/0.85    inference(forward_subsumption_resolution,[status(thm)],[f3356,f3339])).
% 2.82/0.85  fof(f3362,plain,(
% 2.82/0.85    ![X0,X1,X2]: (~cyclic(sK20_skl,sK20_skl,X0,X1)|cyclic(sK20_skl,X0,X1,X2))),
% 2.82/0.85    inference(resolution,[status(thm)],[f3360,f136])).
% 2.82/0.85  fof(f3366,plain,(
% 2.82/0.85    ![X0,X1,X2]: (cyclic(sK20_skl,X0,X1,X2))),
% 2.82/0.85    inference(forward_subsumption_resolution,[status(thm)],[f3362,f3360])).
% 2.82/0.85  fof(f3368,plain,(
% 2.82/0.85    ![X0,X1,X2,X3]: (~cyclic(sK20_skl,X0,X1,X2)|cyclic(X0,X1,X2,X3))),
% 2.82/0.85    inference(resolution,[status(thm)],[f3366,f136])).
% 2.82/0.85  fof(f3372,plain,(
% 2.82/0.85    ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3))),
% 2.82/0.85    inference(forward_subsumption_resolution,[status(thm)],[f3368,f3366])).
% 2.82/0.85  fof(f3373,plain,(
% 2.82/0.85    ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X1,X0,X0,X3))),
% 2.82/0.85    inference(backward_subsumption_resolution,[status(thm)],[f235,f3372])).
% 2.82/0.85  fof(f3375,plain,(
% 2.82/0.85    ![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))),
% 2.82/0.85    inference(backward_subsumption_resolution,[status(thm)],[f198,f3372])).
% 2.82/0.85  fof(f3376,plain,(
% 2.82/0.85    ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2))),
% 2.82/0.85    inference(backward_subsumption_resolution,[status(thm)],[f191,f3372])).
% 2.82/0.85  fof(f3377,plain,(
% 2.82/0.85    ![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))),
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% 2.94/0.87  fof(f3612,plain,(
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% 2.94/0.87  fof(f3614,plain,(
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% 2.94/0.87  fof(f3655,plain,(
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% 2.94/0.87  fof(f3681,plain,(
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% 2.94/0.87  fof(f3791,plain,(
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% 2.94/0.87  fof(f3848,plain,(
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% 2.94/0.87  fof(f4146,plain,(
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% 2.94/0.87  fof(f4385,plain,(
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% 2.94/0.87    inference(resolution,[status(thm)],[f4146,f147])).
% 2.94/0.87  fof(f4390,plain,(
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% 2.94/0.87  fof(f5027,plain,(
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% 2.94/0.87  % SZS output end CNFRefutation for theBenchmark.p
% 2.94/0.88  % Elapsed time: 0.496819 seconds
% 2.94/0.88  % CPU time: 3.592279 seconds
% 2.94/0.88  % Total memory used: 118.589 MB
% 2.94/0.88  % Net memory used: 115.109 MB
%------------------------------------------------------------------------------