TSTP Solution File: GEO625+1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GEO625+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n032.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May 31 12:09:21 EDT 2023

% Result   : Theorem 5.57s 1.00s
% Output   : CNFRefutation 5.57s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem  : GEO625+1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.09  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.27  % Computer : n032.cluster.edu
% 0.07/0.27  % Model    : x86_64 x86_64
% 0.07/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27  % Memory   : 8042.1875MB
% 0.07/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27  % CPULimit : 300
% 0.07/0.27  % WCLimit  : 300
% 0.07/0.27  % DateTime : Tue May 30 12:05:16 EDT 2023
% 0.07/0.27  % CPUTime  : 
% 0.07/0.28  % Drodi V3.5.1
% 5.57/1.00  % Refutation found
% 5.57/1.00  % SZS status Theorem for theBenchmark: Theorem is valid
% 5.57/1.00  % SZS output start CNFRefutation for theBenchmark
% 5.57/1.00  fof(f1,axiom,(
% 5.57/1.00    (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 5.57/1.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.57/1.00  fof(f2,axiom,(
% 5.57/1.00    (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 5.57/1.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.57/1.00  fof(f3,axiom,(
% 5.57/1.00    (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 5.57/1.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.57/1.00  fof(f4,axiom,(
% 5.57/1.00    (! [A,B,C,D] :( para(A,B,C,D)=> para(A,B,D,C) ) )),
% 5.57/1.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.57/1.00  fof(f5,axiom,(
% 5.57/1.00    (! [A,B,C,D] :( para(A,B,C,D)=> para(C,D,A,B) ) )),
% 5.57/1.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.57/1.00  fof(f7,axiom,(
% 5.57/1.00    (! [A,B,C,D] :( perp(A,B,C,D)=> perp(A,B,D,C) ) )),
% 5.57/1.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.57/1.00  fof(f8,axiom,(
% 5.57/1.00    (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 5.57/1.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.57/1.00  fof(f9,axiom,(
% 5.57/1.00    (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 5.57/1.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.57/1.00  fof(f11,axiom,(
% 5.57/1.00    (! [A,B,M] :( midp(M,B,A)=> midp(M,A,B) ) )),
% 5.57/1.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.57/1.00  fof(f17,axiom,(
% 5.57/1.00    (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 5.57/1.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.57/1.00  fof(f18,axiom,(
% 5.57/1.00    (! [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) ) )),
% 5.57/1.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.57/1.00  fof(f19,axiom,(
% 5.57/1.00    (! [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) ) )),
% 5.57/1.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.57/1.00  fof(f20,axiom,(
% 5.57/1.00    (! [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) ) )),
% 5.57/1.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.57/1.00  fof(f21,axiom,(
% 5.57/1.00    (! [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) ) )),
% 5.57/1.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.57/1.00  fof(f22,axiom,(
% 5.57/1.00    (! [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) ) )),
% 5.57/1.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.57/1.00  fof(f39,axiom,(
% 5.57/1.00    (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 5.57/1.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.57/1.00  fof(f40,axiom,(
% 5.57/1.00    (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 5.57/1.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.57/1.00  fof(f41,axiom,(
% 5.57/1.00    (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 5.57/1.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.57/1.00  fof(f43,axiom,(
% 5.57/1.00    (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 5.57/1.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.57/1.00  fof(f44,axiom,(
% 5.57/1.00    (! [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) ) )),
% 5.57/1.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.57/1.00  fof(f53,axiom,(
% 5.57/1.00    (! [A,B,C,M] :( ( perp(A,B,B,C)& midp(M,A,C) )=> cong(A,M,B,M) ) )),
% 5.57/1.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.57/1.00  fof(f57,axiom,(
% 5.57/1.00    (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 5.57/1.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.57/1.00  fof(f58,axiom,(
% 5.57/1.00    (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q)& cyclic(A,B,P,Q) )=> perp(P,A,A,Q) ) )),
% 5.57/1.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.57/1.00  fof(f64,axiom,(
% 5.57/1.00    (! [A,B,C,D,M] :( ( midp(M,A,B)& midp(M,C,D) )=> para(A,C,B,D) ) )),
% 5.57/1.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.57/1.00  fof(f67,axiom,(
% 5.57/1.00    (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 5.57/1.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.57/1.00  fof(f68,axiom,(
% 5.57/1.00    (! [A,B,C] :( ( cong(A,B,A,C)& coll(A,B,C) )=> midp(A,B,C) ) )),
% 5.57/1.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.57/1.00  fof(f70,axiom,(
% 5.57/1.00    (! [A,B,C] :( midp(A,B,C)=> coll(A,B,C) ) )),
% 5.57/1.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.57/1.01  fof(f74,axiom,(
% 5.57/1.01    (! [A,B,C,D,P,Q,U,V] :( ( eqangle(A,B,C,D,P,Q,U,V)& para(P,Q,U,V) )=> para(A,B,C,D) ) )),
% 5.57/1.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.57/1.01  fof(f75,axiom,(
% 5.57/1.01    (! [A,B,C,D,P,Q,U,V] :( ( eqangle(A,B,C,D,P,Q,U,V)& perp(P,Q,U,V) )=> perp(A,B,C,D) ) )),
% 5.57/1.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.57/1.01  fof(f95,conjecture,(
% 5.57/1.01    (! [A,B,C,I,C1,A1,B1,P,Q,N] :( ( eqangle(I,A,A,B,I,A,A,C)& eqangle(I,B,B,C,I,B,B,A)& eqangle(I,C,C,A,I,C,C,B)& midp(C1,B,A)& midp(A1,C,B)& midp(B1,A,C)& midp(P,I,B)& midp(Q,C,I)& circle(N,P,A1,Q) )=> eqangle(B1,A1,A1,N,N,A1,A1,C1) ) )),
% 5.57/1.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.57/1.01  fof(f96,negated_conjecture,(
% 5.57/1.01    ~((! [A,B,C,I,C1,A1,B1,P,Q,N] :( ( eqangle(I,A,A,B,I,A,A,C)& eqangle(I,B,B,C,I,B,B,A)& eqangle(I,C,C,A,I,C,C,B)& midp(C1,B,A)& midp(A1,C,B)& midp(B1,A,C)& midp(P,I,B)& midp(Q,C,I)& circle(N,P,A1,Q) )=> eqangle(B1,A1,A1,N,N,A1,A1,C1) ) ))),
% 5.57/1.01    inference(negated_conjecture,[status(cth)],[f95])).
% 5.57/1.01  fof(f97,plain,(
% 5.57/1.01    ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 5.57/1.01    inference(pre_NNF_transformation,[status(esa)],[f1])).
% 5.57/1.01  fof(f98,plain,(
% 5.57/1.01    ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 5.57/1.01    inference(cnf_transformation,[status(esa)],[f97])).
% 5.57/1.01  fof(f99,plain,(
% 5.57/1.01    ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 5.57/1.01    inference(pre_NNF_transformation,[status(esa)],[f2])).
% 5.57/1.01  fof(f100,plain,(
% 5.57/1.01    ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 5.57/1.01    inference(cnf_transformation,[status(esa)],[f99])).
% 5.57/1.01  fof(f101,plain,(
% 5.57/1.01    ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 5.57/1.01    inference(pre_NNF_transformation,[status(esa)],[f3])).
% 5.57/1.01  fof(f102,plain,(
% 5.57/1.01    ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 5.57/1.01    inference(miniscoping,[status(esa)],[f101])).
% 5.57/1.01  fof(f103,plain,(
% 5.57/1.01    ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 5.57/1.01    inference(cnf_transformation,[status(esa)],[f102])).
% 5.57/1.01  fof(f104,plain,(
% 5.57/1.01    ![A,B,C,D]: (~para(A,B,C,D)|para(A,B,D,C))),
% 5.57/1.01    inference(pre_NNF_transformation,[status(esa)],[f4])).
% 5.57/1.01  fof(f105,plain,(
% 5.57/1.01    ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X0,X1,X3,X2))),
% 5.57/1.01    inference(cnf_transformation,[status(esa)],[f104])).
% 5.57/1.01  fof(f106,plain,(
% 5.57/1.01    ![A,B,C,D]: (~para(A,B,C,D)|para(C,D,A,B))),
% 5.57/1.01    inference(pre_NNF_transformation,[status(esa)],[f5])).
% 5.57/1.01  fof(f107,plain,(
% 5.57/1.01    ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X2,X3,X0,X1))),
% 5.57/1.01    inference(cnf_transformation,[status(esa)],[f106])).
% 5.57/1.01  fof(f111,plain,(
% 5.57/1.01    ![A,B,C,D]: (~perp(A,B,C,D)|perp(A,B,D,C))),
% 5.57/1.01    inference(pre_NNF_transformation,[status(esa)],[f7])).
% 5.57/1.01  fof(f112,plain,(
% 5.57/1.01    ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X0,X1,X3,X2))),
% 5.57/1.01    inference(cnf_transformation,[status(esa)],[f111])).
% 5.57/1.01  fof(f113,plain,(
% 5.57/1.01    ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 5.57/1.01    inference(pre_NNF_transformation,[status(esa)],[f8])).
% 5.57/1.01  fof(f114,plain,(
% 5.57/1.01    ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 5.57/1.01    inference(cnf_transformation,[status(esa)],[f113])).
% 5.57/1.01  fof(f115,plain,(
% 5.57/1.01    ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 5.57/1.01    inference(pre_NNF_transformation,[status(esa)],[f9])).
% 5.57/1.01  fof(f116,plain,(
% 5.57/1.01    ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 5.57/1.01    inference(miniscoping,[status(esa)],[f115])).
% 5.57/1.01  fof(f117,plain,(
% 5.57/1.01    ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 5.57/1.01    inference(cnf_transformation,[status(esa)],[f116])).
% 5.57/1.01  fof(f121,plain,(
% 5.57/1.01    ![A,B,M]: (~midp(M,B,A)|midp(M,A,B))),
% 5.57/1.01    inference(pre_NNF_transformation,[status(esa)],[f11])).
% 5.57/1.01  fof(f122,plain,(
% 5.57/1.01    ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X0,X2,X1))),
% 5.57/1.01    inference(cnf_transformation,[status(esa)],[f121])).
% 5.57/1.01  fof(f134,plain,(
% 5.57/1.01    ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 5.57/1.01    inference(pre_NNF_transformation,[status(esa)],[f17])).
% 5.57/1.01  fof(f135,plain,(
% 5.57/1.01    ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 5.57/1.01    inference(miniscoping,[status(esa)],[f134])).
% 5.57/1.01  fof(f136,plain,(
% 5.57/1.01    ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 5.57/1.01    inference(cnf_transformation,[status(esa)],[f135])).
% 5.57/1.01  fof(f137,plain,(
% 5.57/1.01    ![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))),
% 5.57/1.01    inference(pre_NNF_transformation,[status(esa)],[f18])).
% 5.57/1.01  fof(f138,plain,(
% 5.57/1.01    ![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))),
% 5.57/1.01    inference(cnf_transformation,[status(esa)],[f137])).
% 5.57/1.01  fof(f139,plain,(
% 5.57/1.01    ![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))),
% 5.57/1.01    inference(pre_NNF_transformation,[status(esa)],[f19])).
% 5.57/1.01  fof(f140,plain,(
% 5.57/1.01    ![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))),
% 5.57/1.01    inference(cnf_transformation,[status(esa)],[f139])).
% 5.57/1.01  fof(f141,plain,(
% 5.57/1.01    ![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))),
% 5.57/1.01    inference(pre_NNF_transformation,[status(esa)],[f20])).
% 5.57/1.01  fof(f142,plain,(
% 5.57/1.01    ![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))),
% 5.57/1.01    inference(cnf_transformation,[status(esa)],[f141])).
% 5.57/1.01  fof(f143,plain,(
% 5.57/1.01    ![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))),
% 5.57/1.01    inference(pre_NNF_transformation,[status(esa)],[f21])).
% 5.57/1.01  fof(f144,plain,(
% 5.57/1.01    ![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))),
% 5.57/1.01    inference(cnf_transformation,[status(esa)],[f143])).
% 5.57/1.01  fof(f145,plain,(
% 5.57/1.01    ![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))),
% 5.57/1.01    inference(pre_NNF_transformation,[status(esa)],[f22])).
% 5.57/1.01  fof(f146,plain,(
% 5.57/1.01    ![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))),
% 5.57/1.01    inference(miniscoping,[status(esa)],[f145])).
% 5.57/1.01  fof(f147,plain,(
% 5.57/1.01    ![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))),
% 5.57/1.01    inference(cnf_transformation,[status(esa)],[f146])).
% 5.57/1.01  fof(f184,plain,(
% 5.57/1.01    ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 5.57/1.01    inference(pre_NNF_transformation,[status(esa)],[f39])).
% 5.57/1.01  fof(f185,plain,(
% 5.57/1.01    ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 5.57/1.01    inference(miniscoping,[status(esa)],[f184])).
% 5.57/1.01  fof(f186,plain,(
% 5.57/1.01    ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 5.57/1.01    inference(cnf_transformation,[status(esa)],[f185])).
% 5.57/1.01  fof(f187,plain,(
% 5.57/1.01    ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 5.57/1.01    inference(pre_NNF_transformation,[status(esa)],[f40])).
% 5.57/1.01  fof(f188,plain,(
% 5.57/1.01    ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 5.57/1.01    inference(miniscoping,[status(esa)],[f187])).
% 5.57/1.01  fof(f189,plain,(
% 5.57/1.01    ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 5.57/1.01    inference(cnf_transformation,[status(esa)],[f188])).
% 5.57/1.01  fof(f190,plain,(
% 5.57/1.01    ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 5.57/1.01    inference(pre_NNF_transformation,[status(esa)],[f41])).
% 5.57/1.01  fof(f191,plain,(
% 5.57/1.01    ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 5.57/1.01    inference(cnf_transformation,[status(esa)],[f190])).
% 5.57/1.01  fof(f194,plain,(
% 5.57/1.01    ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 5.57/1.01    inference(pre_NNF_transformation,[status(esa)],[f43])).
% 5.57/1.01  fof(f195,plain,(
% 5.57/1.01    ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 5.57/1.01    inference(cnf_transformation,[status(esa)],[f194])).
% 5.57/1.01  fof(f196,plain,(
% 5.57/1.01    ![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))),
% 5.57/1.01    inference(pre_NNF_transformation,[status(esa)],[f44])).
% 5.57/1.01  fof(f197,plain,(
% 5.57/1.01    ![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))),
% 5.57/1.01    inference(miniscoping,[status(esa)],[f196])).
% 5.57/1.01  fof(f198,plain,(
% 5.57/1.01    ![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))),
% 5.57/1.01    inference(cnf_transformation,[status(esa)],[f197])).
% 5.57/1.01  fof(f220,plain,(
% 5.57/1.01    ![A,B,C,M]: ((~perp(A,B,B,C)|~midp(M,A,C))|cong(A,M,B,M))),
% 5.57/1.01    inference(pre_NNF_transformation,[status(esa)],[f53])).
% 5.57/1.01  fof(f221,plain,(
% 5.57/1.01    ![A,B,M]: ((![C]: (~perp(A,B,B,C)|~midp(M,A,C)))|cong(A,M,B,M))),
% 5.57/1.01    inference(miniscoping,[status(esa)],[f220])).
% 5.57/1.01  fof(f222,plain,(
% 5.57/1.01    ![X0,X1,X2,X3]: (~perp(X0,X1,X1,X2)|~midp(X3,X0,X2)|cong(X0,X3,X1,X3))),
% 5.57/1.01    inference(cnf_transformation,[status(esa)],[f221])).
% 5.57/1.01  fof(f231,plain,(
% 5.57/1.01    ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 5.57/1.01    inference(pre_NNF_transformation,[status(esa)],[f57])).
% 5.57/1.01  fof(f232,plain,(
% 5.57/1.01    ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 5.57/1.01    inference(cnf_transformation,[status(esa)],[f231])).
% 5.57/1.01  fof(f233,plain,(
% 5.57/1.01    ![A,B,P,Q]: (((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q))|perp(P,A,A,Q))),
% 5.57/1.01    inference(pre_NNF_transformation,[status(esa)],[f58])).
% 5.57/1.01  fof(f234,plain,(
% 5.57/1.01    ![A,P,Q]: ((![B]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q)))|perp(P,A,A,Q))),
% 5.57/1.01    inference(miniscoping,[status(esa)],[f233])).
% 5.57/1.01  fof(f235,plain,(
% 5.57/1.01    ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|~cyclic(X0,X2,X1,X3)|perp(X1,X0,X0,X3))),
% 5.57/1.01    inference(cnf_transformation,[status(esa)],[f234])).
% 5.57/1.01  fof(f247,plain,(
% 5.57/1.01    ![A,B,C,D,M]: ((~midp(M,A,B)|~midp(M,C,D))|para(A,C,B,D))),
% 5.57/1.01    inference(pre_NNF_transformation,[status(esa)],[f64])).
% 5.57/1.01  fof(f248,plain,(
% 5.57/1.01    ![A,B,C,D]: ((![M]: (~midp(M,A,B)|~midp(M,C,D)))|para(A,C,B,D))),
% 5.57/1.01    inference(miniscoping,[status(esa)],[f247])).
% 5.57/1.01  fof(f249,plain,(
% 5.57/1.01    ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~midp(X0,X3,X4)|para(X1,X3,X2,X4))),
% 5.57/1.01    inference(cnf_transformation,[status(esa)],[f248])).
% 5.57/1.01  fof(f255,plain,(
% 5.57/1.01    ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 5.57/1.01    inference(pre_NNF_transformation,[status(esa)],[f67])).
% 5.57/1.01  fof(f256,plain,(
% 5.57/1.01    ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 5.57/1.01    inference(cnf_transformation,[status(esa)],[f255])).
% 5.57/1.01  fof(f257,plain,(
% 5.57/1.01    ![A,B,C]: ((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))),
% 5.57/1.01    inference(pre_NNF_transformation,[status(esa)],[f68])).
% 5.57/1.01  fof(f258,plain,(
% 5.57/1.01    ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|~coll(X0,X1,X2)|midp(X0,X1,X2))),
% 5.57/1.01    inference(cnf_transformation,[status(esa)],[f257])).
% 5.57/1.01  fof(f261,plain,(
% 5.57/1.01    ![A,B,C]: (~midp(A,B,C)|coll(A,B,C))),
% 5.57/1.01    inference(pre_NNF_transformation,[status(esa)],[f70])).
% 5.57/1.01  fof(f262,plain,(
% 5.57/1.01    ![X0,X1,X2]: (~midp(X0,X1,X2)|coll(X0,X1,X2))),
% 5.57/1.01    inference(cnf_transformation,[status(esa)],[f261])).
% 5.57/1.01  fof(f269,plain,(
% 5.57/1.01    ![A,B,C,D,P,Q,U,V]: ((~eqangle(A,B,C,D,P,Q,U,V)|~para(P,Q,U,V))|para(A,B,C,D))),
% 5.57/1.01    inference(pre_NNF_transformation,[status(esa)],[f74])).
% 5.57/1.01  fof(f270,plain,(
% 5.57/1.01    ![A,B,C,D]: ((![P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|~para(P,Q,U,V)))|para(A,B,C,D))),
% 5.57/1.01    inference(miniscoping,[status(esa)],[f269])).
% 5.57/1.01  fof(f271,plain,(
% 5.57/1.01    ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|~para(X4,X5,X6,X7)|para(X0,X1,X2,X3))),
% 5.57/1.01    inference(cnf_transformation,[status(esa)],[f270])).
% 5.57/1.01  fof(f272,plain,(
% 5.57/1.01    ![A,B,C,D,P,Q,U,V]: ((~eqangle(A,B,C,D,P,Q,U,V)|~perp(P,Q,U,V))|perp(A,B,C,D))),
% 5.57/1.01    inference(pre_NNF_transformation,[status(esa)],[f75])).
% 5.57/1.01  fof(f273,plain,(
% 5.57/1.01    ![A,B,C,D]: ((![P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|~perp(P,Q,U,V)))|perp(A,B,C,D))),
% 5.57/1.01    inference(miniscoping,[status(esa)],[f272])).
% 5.57/1.01  fof(f274,plain,(
% 5.57/1.01    ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|~perp(X4,X5,X6,X7)|perp(X0,X1,X2,X3))),
% 5.57/1.01    inference(cnf_transformation,[status(esa)],[f273])).
% 5.57/1.01  fof(f369,plain,(
% 5.57/1.01    (?[A,B,C,I,C1,A1,B1,P,Q,N]: (((((((((eqangle(I,A,A,B,I,A,A,C)&eqangle(I,B,B,C,I,B,B,A))&eqangle(I,C,C,A,I,C,C,B))&midp(C1,B,A))&midp(A1,C,B))&midp(B1,A,C))&midp(P,I,B))&midp(Q,C,I))&circle(N,P,A1,Q))&~eqangle(B1,A1,A1,N,N,A1,A1,C1)))),
% 5.57/1.01    inference(pre_NNF_transformation,[status(esa)],[f96])).
% 5.57/1.01  fof(f370,plain,(
% 5.57/1.01    ?[C1,A1,B1,N]: ((?[P,Q]: ((?[C,I]: ((?[B]: ((?[A]: (((((eqangle(I,A,A,B,I,A,A,C)&eqangle(I,B,B,C,I,B,B,A))&eqangle(I,C,C,A,I,C,C,B))&midp(C1,B,A))&midp(A1,C,B))&midp(B1,A,C)))&midp(P,I,B)))&midp(Q,C,I)))&circle(N,P,A1,Q)))&~eqangle(B1,A1,A1,N,N,A1,A1,C1))),
% 5.57/1.01    inference(miniscoping,[status(esa)],[f369])).
% 5.57/1.01  fof(f371,plain,(
% 5.57/1.01    (((((((((eqangle(sk0_27,sk0_29,sk0_29,sk0_28,sk0_27,sk0_29,sk0_29,sk0_26)&eqangle(sk0_27,sk0_28,sk0_28,sk0_26,sk0_27,sk0_28,sk0_28,sk0_29))&eqangle(sk0_27,sk0_26,sk0_26,sk0_29,sk0_27,sk0_26,sk0_26,sk0_28))&midp(sk0_20,sk0_28,sk0_29))&midp(sk0_21,sk0_26,sk0_28))&midp(sk0_22,sk0_29,sk0_26))&midp(sk0_24,sk0_27,sk0_28))&midp(sk0_25,sk0_26,sk0_27))&circle(sk0_23,sk0_24,sk0_21,sk0_25))&~eqangle(sk0_22,sk0_21,sk0_21,sk0_23,sk0_23,sk0_21,sk0_21,sk0_20))),
% 5.57/1.01    inference(skolemization,[status(esa)],[f370])).
% 5.57/1.01  fof(f372,plain,(
% 5.57/1.01    eqangle(sk0_27,sk0_29,sk0_29,sk0_28,sk0_27,sk0_29,sk0_29,sk0_26)),
% 5.57/1.01    inference(cnf_transformation,[status(esa)],[f371])).
% 5.57/1.01  fof(f373,plain,(
% 5.57/1.01    eqangle(sk0_27,sk0_28,sk0_28,sk0_26,sk0_27,sk0_28,sk0_28,sk0_29)),
% 5.57/1.01    inference(cnf_transformation,[status(esa)],[f371])).
% 5.57/1.01  fof(f374,plain,(
% 5.57/1.01    eqangle(sk0_27,sk0_26,sk0_26,sk0_29,sk0_27,sk0_26,sk0_26,sk0_28)),
% 5.57/1.01    inference(cnf_transformation,[status(esa)],[f371])).
% 5.57/1.01  fof(f376,plain,(
% 5.57/1.01    midp(sk0_21,sk0_26,sk0_28)),
% 5.57/1.01    inference(cnf_transformation,[status(esa)],[f371])).
% 5.57/1.01  fof(f377,plain,(
% 5.57/1.01    midp(sk0_22,sk0_29,sk0_26)),
% 5.57/1.01    inference(cnf_transformation,[status(esa)],[f371])).
% 5.57/1.01  fof(f378,plain,(
% 5.57/1.01    midp(sk0_24,sk0_27,sk0_28)),
% 5.57/1.01    inference(cnf_transformation,[status(esa)],[f371])).
% 5.57/1.01  fof(f379,plain,(
% 5.57/1.01    midp(sk0_25,sk0_26,sk0_27)),
% 5.57/1.01    inference(cnf_transformation,[status(esa)],[f371])).
% 5.57/1.01  fof(f381,plain,(
% 5.57/1.01    ~eqangle(sk0_22,sk0_21,sk0_21,sk0_23,sk0_23,sk0_21,sk0_21,sk0_20)),
% 5.57/1.01    inference(cnf_transformation,[status(esa)],[f371])).
% 5.57/1.01  fof(f382,plain,(
% 5.57/1.01    midp(sk0_25,sk0_27,sk0_26)),
% 5.57/1.01    inference(resolution,[status(thm)],[f122,f379])).
% 5.57/1.01  fof(f383,plain,(
% 5.57/1.01    midp(sk0_24,sk0_28,sk0_27)),
% 5.57/1.01    inference(resolution,[status(thm)],[f122,f378])).
% 5.57/1.01  fof(f384,plain,(
% 5.57/1.01    midp(sk0_22,sk0_26,sk0_29)),
% 5.57/1.01    inference(resolution,[status(thm)],[f122,f377])).
% 5.57/1.01  fof(f385,plain,(
% 5.57/1.01    midp(sk0_21,sk0_28,sk0_26)),
% 5.57/1.01    inference(resolution,[status(thm)],[f122,f376])).
% 5.57/1.01  fof(f393,plain,(
% 5.57/1.01    coll(sk0_25,sk0_26,sk0_27)),
% 5.57/1.01    inference(resolution,[status(thm)],[f262,f379])).
% 5.57/1.01  fof(f395,plain,(
% 5.57/1.01    coll(sk0_24,sk0_27,sk0_28)),
% 5.57/1.01    inference(resolution,[status(thm)],[f262,f378])).
% 5.57/1.01  fof(f399,plain,(
% 5.57/1.01    coll(sk0_21,sk0_26,sk0_28)),
% 5.57/1.01    inference(resolution,[status(thm)],[f262,f376])).
% 5.57/1.01  fof(f415,plain,(
% 5.57/1.01    coll(sk0_26,sk0_21,sk0_28)),
% 5.57/1.01    inference(resolution,[status(thm)],[f100,f399])).
% 5.57/1.01  fof(f419,plain,(
% 5.57/1.01    coll(sk0_27,sk0_24,sk0_28)),
% 5.57/1.01    inference(resolution,[status(thm)],[f100,f395])).
% 5.57/1.01  fof(f421,plain,(
% 5.57/1.01    coll(sk0_26,sk0_25,sk0_27)),
% 5.57/1.01    inference(resolution,[status(thm)],[f100,f393])).
% 5.57/1.01  fof(f428,plain,(
% 5.57/1.01    coll(sk0_26,sk0_28,sk0_21)),
% 5.57/1.01    inference(resolution,[status(thm)],[f415,f98])).
% 5.57/1.01  fof(f436,plain,(
% 5.57/1.01    ![X0]: (~coll(sk0_26,sk0_21,X0)|coll(X0,sk0_28,sk0_26))),
% 5.57/1.01    inference(resolution,[status(thm)],[f103,f415])).
% 5.57/1.01  fof(f447,plain,(
% 5.57/1.01    ![X0]: (~coll(sk0_24,sk0_27,X0)|coll(X0,sk0_28,sk0_24))),
% 5.57/1.01    inference(resolution,[status(thm)],[f103,f395])).
% 5.57/1.01  fof(f451,plain,(
% 5.57/1.01    ![X0]: (~coll(sk0_27,sk0_24,X0)|coll(X0,sk0_28,sk0_27))),
% 5.57/1.01    inference(resolution,[status(thm)],[f419,f103])).
% 5.57/1.01  fof(f459,plain,(
% 5.57/1.01    coll(sk0_26,sk0_27,sk0_25)),
% 5.57/1.01    inference(resolution,[status(thm)],[f421,f98])).
% 5.57/1.01  fof(f470,plain,(
% 5.57/1.01    ![X0]: (~coll(sk0_26,sk0_28,X0)|coll(X0,sk0_21,sk0_26))),
% 5.57/1.01    inference(resolution,[status(thm)],[f428,f103])).
% 5.57/1.01  fof(f488,plain,(
% 5.57/1.01    ![X0]: (~coll(sk0_26,sk0_27,X0)|coll(X0,sk0_25,sk0_26))),
% 5.57/1.01    inference(resolution,[status(thm)],[f459,f103])).
% 5.57/1.01  fof(f505,plain,(
% 5.57/1.01    coll(sk0_28,sk0_28,sk0_26)),
% 5.57/1.01    inference(resolution,[status(thm)],[f436,f415])).
% 5.57/1.01  fof(f506,plain,(
% 5.57/1.01    ![X0]: (~coll(sk0_28,sk0_28,X0)|coll(X0,sk0_26,sk0_28))),
% 5.57/1.01    inference(resolution,[status(thm)],[f505,f103])).
% 5.57/1.01  fof(f563,plain,(
% 5.57/1.01    eqangle(sk0_26,sk0_29,sk0_27,sk0_26,sk0_26,sk0_28,sk0_27,sk0_26)),
% 5.57/1.01    inference(resolution,[status(thm)],[f140,f374])).
% 5.57/1.01  fof(f564,plain,(
% 5.57/1.01    eqangle(sk0_28,sk0_26,sk0_27,sk0_28,sk0_28,sk0_29,sk0_27,sk0_28)),
% 5.57/1.01    inference(resolution,[status(thm)],[f140,f373])).
% 5.57/1.01  fof(f565,plain,(
% 5.57/1.01    eqangle(sk0_29,sk0_28,sk0_27,sk0_29,sk0_29,sk0_26,sk0_27,sk0_29)),
% 5.57/1.01    inference(resolution,[status(thm)],[f140,f372])).
% 5.57/1.01  fof(f612,plain,(
% 5.57/1.01    eqangle(sk0_29,sk0_26,sk0_27,sk0_26,sk0_26,sk0_28,sk0_27,sk0_26)),
% 5.57/1.01    inference(resolution,[status(thm)],[f563,f138])).
% 5.57/1.01  fof(f646,plain,(
% 5.57/1.01    eqangle(sk0_26,sk0_28,sk0_27,sk0_28,sk0_28,sk0_29,sk0_27,sk0_28)),
% 5.57/1.01    inference(resolution,[status(thm)],[f564,f138])).
% 5.57/1.01  fof(f647,plain,(
% 5.57/1.01    eqangle(sk0_29,sk0_26,sk0_27,sk0_29,sk0_29,sk0_28,sk0_27,sk0_29)),
% 5.57/1.01    inference(resolution,[status(thm)],[f565,f142])).
% 5.57/1.01  fof(f666,plain,(
% 5.57/1.01    coll(sk0_28,sk0_28,sk0_24)),
% 5.57/1.01    inference(resolution,[status(thm)],[f447,f395])).
% 5.57/1.01  fof(f732,plain,(
% 5.57/1.01    coll(sk0_28,sk0_28,sk0_27)),
% 5.57/1.01    inference(resolution,[status(thm)],[f451,f419])).
% 5.57/1.01  fof(f757,plain,(
% 5.57/1.01    eqangle(sk0_27,sk0_29,sk0_27,sk0_29,sk0_29,sk0_28,sk0_29,sk0_26)),
% 5.57/1.01    inference(resolution,[status(thm)],[f144,f372])).
% 5.57/1.01  fof(f869,plain,(
% 5.57/1.01    coll(sk0_21,sk0_21,sk0_26)),
% 5.57/1.01    inference(resolution,[status(thm)],[f470,f428])).
% 5.57/1.01  fof(f872,plain,(
% 5.57/1.01    coll(sk0_21,sk0_26,sk0_21)),
% 5.57/1.01    inference(resolution,[status(thm)],[f869,f98])).
% 5.57/1.01  fof(f874,plain,(
% 5.57/1.01    ![X0]: (~coll(sk0_21,sk0_26,X0)|coll(X0,sk0_21,sk0_21))),
% 5.57/1.01    inference(resolution,[status(thm)],[f872,f103])).
% 5.57/1.01  fof(f1453,plain,(
% 5.57/1.01    coll(sk0_27,sk0_26,sk0_28)),
% 5.57/1.01    inference(resolution,[status(thm)],[f506,f732])).
% 5.57/1.01  fof(f1454,plain,(
% 5.57/1.01    coll(sk0_24,sk0_26,sk0_28)),
% 5.57/1.01    inference(resolution,[status(thm)],[f506,f666])).
% 5.57/1.01  fof(f1461,plain,(
% 5.57/1.01    coll(sk0_26,sk0_27,sk0_28)),
% 5.57/1.01    inference(resolution,[status(thm)],[f1453,f100])).
% 5.57/1.01  fof(f1464,plain,(
% 5.57/1.01    coll(sk0_26,sk0_24,sk0_28)),
% 5.57/1.01    inference(resolution,[status(thm)],[f1454,f100])).
% 5.57/1.01  fof(f1469,plain,(
% 5.57/1.01    coll(sk0_28,sk0_25,sk0_26)),
% 5.57/1.01    inference(resolution,[status(thm)],[f1461,f488])).
% 5.57/1.01  fof(f1479,plain,(
% 5.57/1.01    coll(sk0_26,sk0_28,sk0_24)),
% 5.57/1.01    inference(resolution,[status(thm)],[f1464,f98])).
% 5.57/1.01  fof(f1493,plain,(
% 5.57/1.01    coll(sk0_28,sk0_26,sk0_25)),
% 5.57/1.01    inference(resolution,[status(thm)],[f1469,f98])).
% 5.57/1.01  fof(f1505,plain,(
% 5.57/1.01    coll(sk0_24,sk0_21,sk0_26)),
% 5.57/1.01    inference(resolution,[status(thm)],[f1479,f470])).
% 5.57/1.01  fof(f1533,plain,(
% 5.57/1.01    coll(sk0_26,sk0_28,sk0_25)),
% 5.57/1.01    inference(resolution,[status(thm)],[f1493,f100])).
% 5.57/1.01  fof(f1546,plain,(
% 5.57/1.01    coll(sk0_21,sk0_24,sk0_26)),
% 5.57/1.01    inference(resolution,[status(thm)],[f1505,f100])).
% 5.57/1.01  fof(f1590,plain,(
% 5.57/1.01    coll(sk0_25,sk0_21,sk0_26)),
% 5.57/1.01    inference(resolution,[status(thm)],[f1533,f470])).
% 5.57/1.01  fof(f1625,plain,(
% 5.57/1.01    coll(sk0_21,sk0_26,sk0_24)),
% 5.57/1.01    inference(resolution,[status(thm)],[f1546,f98])).
% 5.57/1.01  fof(f1680,plain,(
% 5.57/1.01    coll(sk0_21,sk0_25,sk0_26)),
% 5.57/1.01    inference(resolution,[status(thm)],[f1590,f100])).
% 5.57/1.01  fof(f1747,plain,(
% 5.57/1.01    coll(sk0_21,sk0_26,sk0_25)),
% 5.57/1.01    inference(resolution,[status(thm)],[f1680,f98])).
% 5.57/1.01  fof(f1903,plain,(
% 5.57/1.01    para(sk0_26,sk0_28,sk0_28,sk0_29)),
% 5.57/1.01    inference(resolution,[status(thm)],[f186,f646])).
% 5.57/1.01  fof(f1909,plain,(
% 5.57/1.01    para(sk0_29,sk0_26,sk0_29,sk0_28)),
% 5.57/1.01    inference(resolution,[status(thm)],[f186,f647])).
% 5.57/1.01  fof(f1910,plain,(
% 5.57/1.01    para(sk0_29,sk0_26,sk0_26,sk0_28)),
% 5.57/1.01    inference(resolution,[status(thm)],[f186,f612])).
% 5.57/1.01  fof(f1911,plain,(
% 5.57/1.01    para(sk0_29,sk0_28,sk0_29,sk0_26)),
% 5.57/1.01    inference(resolution,[status(thm)],[f186,f565])).
% 5.57/1.01  fof(f1925,plain,(
% 5.57/1.01    ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X2,X3,X4,X5,X4,X5))),
% 5.57/1.01    inference(resolution,[status(thm)],[f189,f144])).
% 5.57/1.01  fof(f1927,plain,(
% 5.57/1.01    ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X4,X5,X0,X1,X4,X5,X2,X3))),
% 5.57/1.01    inference(resolution,[status(thm)],[f189,f140])).
% 5.57/1.01  fof(f1931,plain,(
% 5.57/1.01    para(sk0_26,sk0_28,sk0_29,sk0_28)),
% 5.57/1.01    inference(resolution,[status(thm)],[f1903,f105])).
% 5.57/1.01  fof(f1961,plain,(
% 5.57/1.01    para(sk0_29,sk0_26,sk0_28,sk0_26)),
% 5.57/1.01    inference(resolution,[status(thm)],[f1910,f105])).
% 5.57/1.01  fof(f1970,plain,(
% 5.57/1.01    para(sk0_29,sk0_28,sk0_26,sk0_28)),
% 5.57/1.01    inference(resolution,[status(thm)],[f1931,f107])).
% 5.57/1.01  fof(f3694,plain,(
% 5.57/1.01    spl0_158 <=> para(sk0_29,sk0_28,sk0_26,sk0_28)),
% 5.57/1.01    introduced(split_symbol_definition)).
% 5.57/1.01  fof(f3696,plain,(
% 5.57/1.01    ~para(sk0_29,sk0_28,sk0_26,sk0_28)|spl0_158),
% 5.57/1.01    inference(component_clause,[status(thm)],[f3694])).
% 5.57/1.01  fof(f3710,plain,(
% 5.57/1.01    spl0_162 <=> para(sk0_29,sk0_26,sk0_29,sk0_28)),
% 5.57/1.01    introduced(split_symbol_definition)).
% 5.57/1.01  fof(f3712,plain,(
% 5.57/1.01    ~para(sk0_29,sk0_26,sk0_29,sk0_28)|spl0_162),
% 5.57/1.01    inference(component_clause,[status(thm)],[f3710])).
% 5.57/1.01  fof(f3718,plain,(
% 5.57/1.01    spl0_164 <=> para(sk0_29,sk0_26,sk0_28,sk0_26)),
% 5.57/1.01    introduced(split_symbol_definition)).
% 5.57/1.01  fof(f3720,plain,(
% 5.57/1.01    ~para(sk0_29,sk0_26,sk0_28,sk0_26)|spl0_164),
% 5.57/1.01    inference(component_clause,[status(thm)],[f3718])).
% 5.57/1.01  fof(f3742,plain,(
% 5.57/1.01    spl0_170 <=> para(sk0_29,sk0_28,sk0_29,sk0_26)),
% 5.57/1.01    introduced(split_symbol_definition)).
% 5.57/1.01  fof(f3744,plain,(
% 5.57/1.01    ~para(sk0_29,sk0_28,sk0_29,sk0_26)|spl0_170),
% 5.57/1.01    inference(component_clause,[status(thm)],[f3742])).
% 5.57/1.01  fof(f3909,plain,(
% 5.57/1.01    $false|spl0_170),
% 5.57/1.01    inference(forward_subsumption_resolution,[status(thm)],[f3744,f1911])).
% 5.57/1.01  fof(f3910,plain,(
% 5.57/1.01    spl0_170),
% 5.57/1.01    inference(contradiction_clause,[status(thm)],[f3909])).
% 5.57/1.01  fof(f3911,plain,(
% 5.57/1.01    $false|spl0_164),
% 5.57/1.01    inference(forward_subsumption_resolution,[status(thm)],[f3720,f1961])).
% 5.57/1.01  fof(f3912,plain,(
% 5.57/1.01    spl0_164),
% 5.57/1.01    inference(contradiction_clause,[status(thm)],[f3911])).
% 5.57/1.01  fof(f3913,plain,(
% 5.57/1.01    $false|spl0_162),
% 5.57/1.01    inference(forward_subsumption_resolution,[status(thm)],[f3712,f1909])).
% 5.57/1.01  fof(f3914,plain,(
% 5.57/1.01    spl0_162),
% 5.57/1.01    inference(contradiction_clause,[status(thm)],[f3913])).
% 5.57/1.01  fof(f3915,plain,(
% 5.57/1.01    $false|spl0_158),
% 5.57/1.01    inference(forward_subsumption_resolution,[status(thm)],[f3696,f1970])).
% 5.57/1.01  fof(f3916,plain,(
% 5.57/1.01    spl0_158),
% 5.57/1.01    inference(contradiction_clause,[status(thm)],[f3915])).
% 5.57/1.01  fof(f4522,plain,(
% 5.57/1.01    spl0_243 <=> para(sk0_27,sk0_29,sk0_27,sk0_29)),
% 5.57/1.01    introduced(split_symbol_definition)).
% 5.57/1.01  fof(f4523,plain,(
% 5.57/1.01    para(sk0_27,sk0_29,sk0_27,sk0_29)|~spl0_243),
% 5.57/1.01    inference(component_clause,[status(thm)],[f4522])).
% 5.57/1.01  fof(f4587,plain,(
% 5.57/1.01    ~para(sk0_29,sk0_28,sk0_29,sk0_26)|para(sk0_27,sk0_29,sk0_27,sk0_29)),
% 5.57/1.01    inference(resolution,[status(thm)],[f271,f757])).
% 5.57/1.01  fof(f4588,plain,(
% 5.57/1.01    ~spl0_170|spl0_243),
% 5.57/1.01    inference(split_clause,[status(thm)],[f4587,f3742,f4522])).
% 5.57/1.01  fof(f4672,plain,(
% 5.57/1.01    spl0_257 <=> para(sk0_29,sk0_29,sk0_26,sk0_26)),
% 5.57/1.01    introduced(split_symbol_definition)).
% 5.57/1.01  fof(f4674,plain,(
% 5.57/1.01    ~para(sk0_29,sk0_29,sk0_26,sk0_26)|spl0_257),
% 5.57/1.01    inference(component_clause,[status(thm)],[f4672])).
% 5.57/1.01  fof(f4732,plain,(
% 5.57/1.01    spl0_260 <=> para(sk0_28,sk0_28,sk0_26,sk0_26)),
% 5.57/1.01    introduced(split_symbol_definition)).
% 5.57/1.01  fof(f4734,plain,(
% 5.57/1.01    ~para(sk0_28,sk0_28,sk0_26,sk0_26)|spl0_260),
% 5.57/1.01    inference(component_clause,[status(thm)],[f4732])).
% 5.57/1.01  fof(f5082,plain,(
% 5.57/1.01    spl0_262 <=> para(sk0_26,sk0_26,sk0_28,sk0_28)),
% 5.57/1.01    introduced(split_symbol_definition)).
% 5.57/1.01  fof(f5084,plain,(
% 5.57/1.01    ~para(sk0_26,sk0_26,sk0_28,sk0_28)|spl0_262),
% 5.57/1.01    inference(component_clause,[status(thm)],[f5082])).
% 5.57/1.01  fof(f5141,plain,(
% 5.57/1.01    spl0_269 <=> para(sk0_26,sk0_26,sk0_27,sk0_27)),
% 5.57/1.01    introduced(split_symbol_definition)).
% 5.57/1.01  fof(f5143,plain,(
% 5.57/1.01    ~para(sk0_26,sk0_26,sk0_27,sk0_27)|spl0_269),
% 5.57/1.01    inference(component_clause,[status(thm)],[f5141])).
% 5.57/1.01  fof(f5153,plain,(
% 5.57/1.01    spl0_271 <=> para(sk0_28,sk0_28,sk0_27,sk0_27)),
% 5.57/1.01    introduced(split_symbol_definition)).
% 5.57/1.01  fof(f5155,plain,(
% 5.57/1.01    ~para(sk0_28,sk0_28,sk0_27,sk0_27)|spl0_271),
% 5.57/1.01    inference(component_clause,[status(thm)],[f5153])).
% 5.57/1.01  fof(f5851,plain,(
% 5.57/1.01    spl0_290 <=> para(sk0_26,sk0_26,sk0_29,sk0_29)),
% 5.57/1.01    introduced(split_symbol_definition)).
% 5.57/1.01  fof(f5853,plain,(
% 5.57/1.01    ~para(sk0_26,sk0_26,sk0_29,sk0_29)|spl0_290),
% 5.57/1.01    inference(component_clause,[status(thm)],[f5851])).
% 5.57/1.01  fof(f5873,plain,(
% 5.57/1.01    ![X0]: (~midp(X0,sk0_29,sk0_26)|~midp(X0,sk0_29,sk0_26)|spl0_257)),
% 5.57/1.01    inference(resolution,[status(thm)],[f4674,f249])).
% 5.57/1.01  fof(f5874,plain,(
% 5.57/1.01    ![X0]: (~midp(X0,sk0_29,sk0_26)|spl0_257)),
% 5.57/1.01    inference(duplicate_literals_removal,[status(esa)],[f5873])).
% 5.57/1.01  fof(f5878,plain,(
% 5.57/1.01    $false|spl0_257),
% 5.57/1.01    inference(backward_subsumption_resolution,[status(thm)],[f377,f5874])).
% 5.57/1.01  fof(f5879,plain,(
% 5.57/1.01    spl0_257),
% 5.57/1.01    inference(contradiction_clause,[status(thm)],[f5878])).
% 5.57/1.01  fof(f6204,plain,(
% 5.57/1.01    ![X0]: (~midp(X0,sk0_28,sk0_26)|~midp(X0,sk0_28,sk0_26)|spl0_260)),
% 5.57/1.01    inference(resolution,[status(thm)],[f4734,f249])).
% 5.57/1.01  fof(f6205,plain,(
% 5.57/1.01    ![X0]: (~midp(X0,sk0_28,sk0_26)|spl0_260)),
% 5.57/1.01    inference(duplicate_literals_removal,[status(esa)],[f6204])).
% 5.57/1.01  fof(f6208,plain,(
% 5.57/1.01    $false|spl0_260),
% 5.57/1.01    inference(backward_subsumption_resolution,[status(thm)],[f385,f6205])).
% 5.57/1.01  fof(f6209,plain,(
% 5.57/1.01    spl0_260),
% 5.57/1.01    inference(contradiction_clause,[status(thm)],[f6208])).
% 5.57/1.01  fof(f6210,plain,(
% 5.57/1.01    ![X0]: (~midp(X0,sk0_26,sk0_28)|~midp(X0,sk0_26,sk0_28)|spl0_262)),
% 5.57/1.01    inference(resolution,[status(thm)],[f5084,f249])).
% 5.57/1.01  fof(f6211,plain,(
% 5.57/1.01    ![X0]: (~midp(X0,sk0_26,sk0_28)|spl0_262)),
% 5.57/1.01    inference(duplicate_literals_removal,[status(esa)],[f6210])).
% 5.57/1.01  fof(f6215,plain,(
% 5.57/1.01    $false|spl0_262),
% 5.57/1.01    inference(backward_subsumption_resolution,[status(thm)],[f376,f6211])).
% 5.57/1.01  fof(f6216,plain,(
% 5.57/1.01    spl0_262),
% 5.57/1.01    inference(contradiction_clause,[status(thm)],[f6215])).
% 5.57/1.01  fof(f6239,plain,(
% 5.57/1.01    spl0_299 <=> para(sk0_27,sk0_27,sk0_26,sk0_26)),
% 5.57/1.01    introduced(split_symbol_definition)).
% 5.57/1.01  fof(f6241,plain,(
% 5.57/1.01    ~para(sk0_27,sk0_27,sk0_26,sk0_26)|spl0_299),
% 5.57/1.01    inference(component_clause,[status(thm)],[f6239])).
% 5.57/1.01  fof(f6261,plain,(
% 5.57/1.01    ![X0]: (~midp(X0,sk0_26,sk0_27)|~midp(X0,sk0_26,sk0_27)|spl0_269)),
% 5.57/1.01    inference(resolution,[status(thm)],[f5143,f249])).
% 5.57/1.01  fof(f6262,plain,(
% 5.57/1.01    ![X0]: (~midp(X0,sk0_26,sk0_27)|spl0_269)),
% 5.57/1.01    inference(duplicate_literals_removal,[status(esa)],[f6261])).
% 5.57/1.01  fof(f6265,plain,(
% 5.57/1.01    $false|spl0_269),
% 5.57/1.01    inference(backward_subsumption_resolution,[status(thm)],[f379,f6262])).
% 5.57/1.01  fof(f6266,plain,(
% 5.57/1.01    spl0_269),
% 5.57/1.01    inference(contradiction_clause,[status(thm)],[f6265])).
% 5.57/1.01  fof(f6270,plain,(
% 5.57/1.01    spl0_303 <=> para(sk0_27,sk0_27,sk0_28,sk0_28)),
% 5.57/1.01    introduced(split_symbol_definition)).
% 5.57/1.01  fof(f6272,plain,(
% 5.57/1.01    ~para(sk0_27,sk0_27,sk0_28,sk0_28)|spl0_303),
% 5.57/1.01    inference(component_clause,[status(thm)],[f6270])).
% 5.57/1.01  fof(f6292,plain,(
% 5.57/1.01    ![X0]: (~midp(X0,sk0_28,sk0_27)|~midp(X0,sk0_28,sk0_27)|spl0_271)),
% 5.57/1.01    inference(resolution,[status(thm)],[f5155,f249])).
% 5.57/1.01  fof(f6293,plain,(
% 5.57/1.01    ![X0]: (~midp(X0,sk0_28,sk0_27)|spl0_271)),
% 5.57/1.01    inference(duplicate_literals_removal,[status(esa)],[f6292])).
% 5.57/1.01  fof(f6296,plain,(
% 5.57/1.01    $false|spl0_271),
% 5.57/1.01    inference(backward_subsumption_resolution,[status(thm)],[f383,f6293])).
% 5.57/1.01  fof(f6297,plain,(
% 5.57/1.01    spl0_271),
% 5.57/1.01    inference(contradiction_clause,[status(thm)],[f6296])).
% 5.57/1.01  fof(f6440,plain,(
% 5.57/1.01    coll(sk0_25,sk0_21,sk0_21)),
% 5.57/1.01    inference(resolution,[status(thm)],[f874,f1747])).
% 5.57/1.01  fof(f6441,plain,(
% 5.57/1.01    coll(sk0_24,sk0_21,sk0_21)),
% 5.57/1.01    inference(resolution,[status(thm)],[f874,f1625])).
% 5.57/1.01  fof(f6451,plain,(
% 5.57/1.01    coll(sk0_21,sk0_25,sk0_21)),
% 5.57/1.01    inference(resolution,[status(thm)],[f6440,f100])).
% 5.57/1.01  fof(f6454,plain,(
% 5.57/1.01    coll(sk0_21,sk0_24,sk0_21)),
% 5.57/1.01    inference(resolution,[status(thm)],[f6441,f100])).
% 5.57/1.01  fof(f6521,plain,(
% 5.57/1.01    spl0_312 <=> ~midp(X0,sk0_29,X1)),
% 5.57/1.01    introduced(split_symbol_definition)).
% 5.57/1.01  fof(f6522,plain,(
% 5.57/1.01    ![X0,X1]: (~midp(X0,sk0_29,X1)|~spl0_312)),
% 5.57/1.01    inference(component_clause,[status(thm)],[f6521])).
% 5.57/1.01  fof(f6524,plain,(
% 5.57/1.01    spl0_313 <=> ~midp(X2,X3,sk0_27)),
% 5.57/1.01    introduced(split_symbol_definition)).
% 5.57/1.01  fof(f6525,plain,(
% 5.57/1.01    ![X0,X1]: (~midp(X0,X1,sk0_27)|~spl0_313)),
% 5.57/1.01    inference(component_clause,[status(thm)],[f6524])).
% 5.57/1.01  fof(f6529,plain,(
% 5.57/1.01    $false|~spl0_313),
% 5.57/1.01    inference(backward_subsumption_resolution,[status(thm)],[f379,f6525])).
% 5.57/1.01  fof(f6530,plain,(
% 5.57/1.01    ~spl0_313),
% 5.57/1.01    inference(contradiction_clause,[status(thm)],[f6529])).
% 5.57/1.01  fof(f6531,plain,(
% 5.57/1.01    $false|~spl0_312),
% 5.57/1.01    inference(backward_subsumption_resolution,[status(thm)],[f377,f6522])).
% 5.57/1.01  fof(f6532,plain,(
% 5.57/1.01    ~spl0_312),
% 5.57/1.01    inference(contradiction_clause,[status(thm)],[f6531])).
% 5.57/1.01  fof(f6558,plain,(
% 5.57/1.01    coll(sk0_21,sk0_21,sk0_25)),
% 5.57/1.01    inference(resolution,[status(thm)],[f6451,f98])).
% 5.57/1.01  fof(f6611,plain,(
% 5.57/1.01    spl0_317 <=> coll(sk0_21,sk0_24,sk0_21)),
% 5.57/1.01    introduced(split_symbol_definition)).
% 5.57/1.01  fof(f6613,plain,(
% 5.57/1.01    ~coll(sk0_21,sk0_24,sk0_21)|spl0_317),
% 5.57/1.01    inference(component_clause,[status(thm)],[f6611])).
% 5.57/1.01  fof(f6616,plain,(
% 5.57/1.01    $false|spl0_317),
% 5.57/1.01    inference(forward_subsumption_resolution,[status(thm)],[f6613,f6454])).
% 5.57/1.01  fof(f6617,plain,(
% 5.57/1.01    spl0_317),
% 5.57/1.01    inference(contradiction_clause,[status(thm)],[f6616])).
% 5.57/1.01  fof(f6752,plain,(
% 5.57/1.01    ![X0]: (~midp(X0,sk0_26,sk0_29)|~midp(X0,sk0_26,sk0_29)|spl0_290)),
% 5.57/1.01    inference(resolution,[status(thm)],[f5853,f249])).
% 5.57/1.01  fof(f6753,plain,(
% 5.57/1.01    ![X0]: (~midp(X0,sk0_26,sk0_29)|spl0_290)),
% 5.57/1.01    inference(duplicate_literals_removal,[status(esa)],[f6752])).
% 5.57/1.01  fof(f6756,plain,(
% 5.57/1.01    $false|spl0_290),
% 5.57/1.01    inference(backward_subsumption_resolution,[status(thm)],[f384,f6753])).
% 5.57/1.01  fof(f6757,plain,(
% 5.57/1.01    spl0_290),
% 5.57/1.01    inference(contradiction_clause,[status(thm)],[f6756])).
% 5.57/1.01  fof(f6761,plain,(
% 5.57/1.01    spl0_322 <=> para(sk0_29,sk0_26,sk0_26,sk0_29)),
% 5.57/1.01    introduced(split_symbol_definition)).
% 5.57/1.01  fof(f6763,plain,(
% 5.57/1.01    ~para(sk0_29,sk0_26,sk0_26,sk0_29)|spl0_322),
% 5.57/1.01    inference(component_clause,[status(thm)],[f6761])).
% 5.57/1.01  fof(f7328,plain,(
% 5.57/1.01    ![X0]: (~midp(X0,sk0_27,sk0_26)|~midp(X0,sk0_27,sk0_26)|spl0_299)),
% 5.57/1.01    inference(resolution,[status(thm)],[f6241,f249])).
% 5.57/1.01  fof(f7329,plain,(
% 5.57/1.01    ![X0]: (~midp(X0,sk0_27,sk0_26)|spl0_299)),
% 5.57/1.01    inference(duplicate_literals_removal,[status(esa)],[f7328])).
% 5.57/1.01  fof(f7332,plain,(
% 5.57/1.01    $false|spl0_299),
% 5.57/1.01    inference(backward_subsumption_resolution,[status(thm)],[f382,f7329])).
% 5.57/1.01  fof(f7333,plain,(
% 5.57/1.01    spl0_299),
% 5.57/1.01    inference(contradiction_clause,[status(thm)],[f7332])).
% 5.57/1.01  fof(f7342,plain,(
% 5.57/1.01    ![X0]: (~midp(X0,sk0_27,sk0_28)|~midp(X0,sk0_27,sk0_28)|spl0_303)),
% 5.57/1.01    inference(resolution,[status(thm)],[f6272,f249])).
% 5.57/1.01  fof(f7343,plain,(
% 5.57/1.01    ![X0]: (~midp(X0,sk0_27,sk0_28)|spl0_303)),
% 5.57/1.01    inference(duplicate_literals_removal,[status(esa)],[f7342])).
% 5.57/1.01  fof(f7350,plain,(
% 5.57/1.01    $false|spl0_303),
% 5.57/1.01    inference(backward_subsumption_resolution,[status(thm)],[f378,f7343])).
% 5.57/1.01  fof(f7351,plain,(
% 5.57/1.01    spl0_303),
% 5.57/1.01    inference(contradiction_clause,[status(thm)],[f7350])).
% 5.57/1.01  fof(f7365,plain,(
% 5.57/1.01    spl0_353 <=> ~midp(X0,sk0_27,X1)),
% 5.57/1.01    introduced(split_symbol_definition)).
% 5.57/1.01  fof(f7366,plain,(
% 5.57/1.01    ![X0,X1]: (~midp(X0,sk0_27,X1)|~spl0_353)),
% 5.57/1.01    inference(component_clause,[status(thm)],[f7365])).
% 5.57/1.01  fof(f7368,plain,(
% 5.57/1.01    spl0_354 <=> ~midp(X2,X3,sk0_29)),
% 5.57/1.01    introduced(split_symbol_definition)).
% 5.57/1.01  fof(f7369,plain,(
% 5.57/1.01    ![X0,X1]: (~midp(X0,X1,sk0_29)|~spl0_354)),
% 5.57/1.01    inference(component_clause,[status(thm)],[f7368])).
% 5.57/1.01  fof(f7374,plain,(
% 5.57/1.01    $false|~spl0_354),
% 5.57/1.01    inference(backward_subsumption_resolution,[status(thm)],[f384,f7369])).
% 5.57/1.01  fof(f7375,plain,(
% 5.57/1.01    ~spl0_354),
% 5.57/1.01    inference(contradiction_clause,[status(thm)],[f7374])).
% 5.57/1.01  fof(f7377,plain,(
% 5.57/1.01    spl0_355 <=> ~midp(X2,X3,X4)),
% 5.57/1.01    introduced(split_symbol_definition)).
% 5.57/1.01  fof(f7378,plain,(
% 5.57/1.01    ![X0,X1,X2]: (~midp(X0,X1,X2)|~spl0_355)),
% 5.57/1.01    inference(component_clause,[status(thm)],[f7377])).
% 5.57/1.01  fof(f7383,plain,(
% 5.57/1.01    $false|~spl0_353),
% 5.57/1.01    inference(forward_subsumption_resolution,[status(thm)],[f382,f7366])).
% 5.57/1.01  fof(f7384,plain,(
% 5.57/1.01    ~spl0_353),
% 5.57/1.01    inference(contradiction_clause,[status(thm)],[f7383])).
% 5.57/1.01  fof(f7559,plain,(
% 5.57/1.01    spl0_357 <=> ~para(X4,X5,X4,X5)),
% 5.57/1.01    introduced(split_symbol_definition)).
% 5.57/1.01  fof(f7560,plain,(
% 5.57/1.01    ![X0,X1]: (~para(X0,X1,X0,X1)|~spl0_357)),
% 5.57/1.01    inference(component_clause,[status(thm)],[f7559])).
% 5.57/1.01  fof(f7571,plain,(
% 5.57/1.01    spl0_358 <=> ~para(X0,X1,X2,X3)|perp(X0,X1,X2,X3)),
% 5.57/1.01    introduced(split_symbol_definition)).
% 5.57/1.01  fof(f7572,plain,(
% 5.57/1.01    ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|perp(X0,X1,X2,X3)|~spl0_358)),
% 5.57/1.01    inference(component_clause,[status(thm)],[f7571])).
% 5.57/1.01  fof(f7574,plain,(
% 5.57/1.01    spl0_359 <=> ~perp(X4,X5,X4,X5)),
% 5.57/1.01    introduced(split_symbol_definition)).
% 5.57/1.01  fof(f7575,plain,(
% 5.57/1.01    ![X0,X1]: (~perp(X0,X1,X0,X1)|~spl0_359)),
% 5.57/1.01    inference(component_clause,[status(thm)],[f7574])).
% 5.57/1.01  fof(f7577,plain,(
% 5.57/1.01    ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|~perp(X4,X5,X4,X5)|perp(X0,X1,X2,X3))),
% 5.57/1.01    inference(resolution,[status(thm)],[f1925,f274])).
% 5.57/1.01  fof(f7578,plain,(
% 5.57/1.01    spl0_358|spl0_359),
% 5.57/1.01    inference(split_clause,[status(thm)],[f7577,f7571,f7574])).
% 5.57/1.01  fof(f7726,plain,(
% 5.57/1.01    spl0_366 <=> coll(sk0_21,sk0_21,sk0_25)),
% 5.57/1.01    introduced(split_symbol_definition)).
% 5.57/1.01  fof(f7728,plain,(
% 5.57/1.01    ~coll(sk0_21,sk0_21,sk0_25)|spl0_366),
% 5.57/1.01    inference(component_clause,[status(thm)],[f7726])).
% 5.57/1.01  fof(f7731,plain,(
% 5.57/1.01    $false|spl0_366),
% 5.57/1.01    inference(forward_subsumption_resolution,[status(thm)],[f7728,f6558])).
% 5.57/1.01  fof(f7732,plain,(
% 5.57/1.01    spl0_366),
% 5.57/1.01    inference(contradiction_clause,[status(thm)],[f7731])).
% 5.57/1.01  fof(f7751,plain,(
% 5.57/1.01    ![X0]: (~midp(X0,sk0_29,sk0_26)|~midp(X0,sk0_26,sk0_29)|spl0_322)),
% 5.57/1.01    inference(resolution,[status(thm)],[f6763,f249])).
% 5.57/1.01  fof(f7752,plain,(
% 5.57/1.01    ![X0]: (~midp(X0,sk0_29,sk0_26)|spl0_322)),
% 5.57/1.01    inference(forward_subsumption_resolution,[status(thm)],[f7751,f122])).
% 5.57/1.01  fof(f7755,plain,(
% 5.57/1.01    $false|spl0_322),
% 5.57/1.01    inference(backward_subsumption_resolution,[status(thm)],[f377,f7752])).
% 5.57/1.01  fof(f7756,plain,(
% 5.57/1.01    spl0_322),
% 5.57/1.01    inference(contradiction_clause,[status(thm)],[f7755])).
% 5.57/1.01  fof(f7906,plain,(
% 5.57/1.01    spl0_367 <=> para(X2,X3,X2,X3)),
% 5.57/1.01    introduced(split_symbol_definition)).
% 5.57/1.01  fof(f7907,plain,(
% 5.57/1.01    ![X0,X1]: (para(X0,X1,X0,X1)|~spl0_367)),
% 5.57/1.01    inference(component_clause,[status(thm)],[f7906])).
% 5.57/1.01  fof(f7909,plain,(
% 5.57/1.01    ![X0,X1,X2,X3]: (~para(X0,X1,X0,X1)|para(X2,X3,X2,X3))),
% 5.57/1.01    inference(resolution,[status(thm)],[f1927,f186])).
% 5.57/1.01  fof(f7910,plain,(
% 5.57/1.01    spl0_357|spl0_367),
% 5.57/1.01    inference(split_clause,[status(thm)],[f7909,f7559,f7906])).
% 5.57/1.01  fof(f8052,plain,(
% 5.57/1.01    $false|~spl0_357|~spl0_243),
% 5.57/1.01    inference(backward_subsumption_resolution,[status(thm)],[f4523,f7560])).
% 5.57/1.01  fof(f8053,plain,(
% 5.57/1.01    ~spl0_357|~spl0_243),
% 5.57/1.01    inference(contradiction_clause,[status(thm)],[f8052])).
% 5.57/1.01  fof(f8054,plain,(
% 5.57/1.01    ![X0,X1]: (perp(X0,X1,X0,X1)|~spl0_367|~spl0_358)),
% 5.57/1.01    inference(resolution,[status(thm)],[f7907,f7572])).
% 5.57/1.01  fof(f8058,plain,(
% 5.57/1.01    ![X0,X1]: (coll(X0,X1,X1)|~spl0_367)),
% 5.57/1.01    inference(resolution,[status(thm)],[f7907,f256])).
% 5.57/1.01  fof(f8175,plain,(
% 5.57/1.01    ![X0,X1]: (coll(X0,X1,X0)|~spl0_367)),
% 5.57/1.01    inference(resolution,[status(thm)],[f8058,f100])).
% 5.57/1.01  fof(f8293,plain,(
% 5.57/1.01    ![X0,X1]: (coll(X0,X0,X1)|~spl0_367)),
% 5.57/1.01    inference(resolution,[status(thm)],[f8175,f98])).
% 5.57/1.01  fof(f8325,plain,(
% 5.57/1.01    ![X0,X1,X2]: (~coll(X0,X0,X1)|coll(X1,X2,X0)|~spl0_367)),
% 5.57/1.01    inference(resolution,[status(thm)],[f8293,f103])).
% 5.57/1.01  fof(f8326,plain,(
% 5.57/1.01    ![X0,X1,X2]: (coll(X0,X1,X2)|~spl0_367)),
% 5.57/1.01    inference(forward_subsumption_resolution,[status(thm)],[f8325,f8293])).
% 5.57/1.01  fof(f8336,plain,(
% 5.57/1.01    ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|cyclic(X1,X2,X0,X3)|~spl0_367)),
% 5.57/1.01    inference(backward_subsumption_resolution,[status(thm)],[f195,f8326])).
% 5.57/1.01  fof(f8337,plain,(
% 5.57/1.01    ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|midp(X0,X1,X2)|~spl0_367)),
% 5.57/1.01    inference(backward_subsumption_resolution,[status(thm)],[f258,f8326])).
% 5.57/1.01  fof(f8347,plain,(
% 5.57/1.01    ![X0,X1]: (perp(X0,X1,X1,X0)|~spl0_367|~spl0_358)),
% 5.57/1.01    inference(resolution,[status(thm)],[f8054,f112])).
% 5.57/1.01  fof(f8352,plain,(
% 5.57/1.01    ![X0,X1,X2]: (~midp(X0,X1,X1)|cong(X1,X0,X2,X0)|~spl0_367|~spl0_358)),
% 5.57/1.01    inference(resolution,[status(thm)],[f8347,f222])).
% 5.57/1.01  fof(f8385,plain,(
% 5.57/1.01    $false|~spl0_355),
% 5.57/1.01    inference(backward_subsumption_resolution,[status(thm)],[f385,f7378])).
% 5.57/1.01  fof(f8386,plain,(
% 5.57/1.01    ~spl0_355),
% 5.57/1.01    inference(contradiction_clause,[status(thm)],[f8385])).
% 5.57/1.01  fof(f8454,plain,(
% 5.57/1.01    ![X0,X1,X2]: (cyclic(X0,X0,X1,X2)|~para(X1,X0,X1,X0)|~spl0_367)),
% 5.57/1.01    inference(resolution,[status(thm)],[f8336,f1925])).
% 5.57/1.01  fof(f8455,plain,(
% 5.57/1.01    ![X0,X1,X2]: (cyclic(X0,X0,X1,X2)|~spl0_367)),
% 5.57/1.01    inference(forward_subsumption_resolution,[status(thm)],[f8454,f7907])).
% 5.57/1.01  fof(f8754,plain,(
% 5.57/1.01    ![X0,X1,X2,X3]: (~cyclic(X0,X0,X1,X2)|cyclic(X0,X1,X2,X3)|~spl0_367)),
% 5.57/1.01    inference(resolution,[status(thm)],[f8455,f136])).
% 5.57/1.01  fof(f8755,plain,(
% 5.57/1.01    ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3)|~spl0_367)),
% 5.57/1.01    inference(forward_subsumption_resolution,[status(thm)],[f8754,f8455])).
% 5.57/1.01  fof(f8772,plain,(
% 5.57/1.01    ![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)|~spl0_367)),
% 5.57/1.01    inference(backward_subsumption_resolution,[status(thm)],[f198,f8755])).
% 5.57/1.01  fof(f8773,plain,(
% 5.57/1.01    ![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)|~spl0_367)),
% 5.57/1.01    inference(forward_subsumption_resolution,[status(thm)],[f8772,f8755])).
% 5.57/1.01  fof(f8774,plain,(
% 5.57/1.01    ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~spl0_367)),
% 5.57/1.01    inference(backward_subsumption_resolution,[status(thm)],[f191,f8755])).
% 5.57/1.01  fof(f8797,plain,(
% 5.57/1.01    ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X1,X0,X0,X3)|~spl0_367)),
% 5.57/1.01    inference(backward_subsumption_resolution,[status(thm)],[f235,f8755])).
% 5.57/1.01  fof(f8950,plain,(
% 5.57/1.01    ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X0,X2,X3,X4,X3,X5)|cong(X1,X2,X4,X5)|~spl0_367)),
% 5.57/1.01    inference(forward_subsumption_resolution,[status(thm)],[f8773,f8755])).
% 5.57/1.01  fof(f8983,plain,(
% 5.57/1.01    ![X0,X1]: (cong(X0,X1,X0,X1)|~spl0_367)),
% 5.57/1.01    inference(resolution,[status(thm)],[f8774,f8950])).
% 5.57/1.01  fof(f8999,plain,(
% 5.57/1.01    ![X0,X1]: (midp(X0,X1,X1)|~spl0_367)),
% 5.57/1.01    inference(resolution,[status(thm)],[f8983,f8337])).
% 5.57/1.01  fof(f9031,plain,(
% 5.57/1.01    ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X1,X0,X0,X2)|~spl0_367)),
% 5.57/1.01    inference(resolution,[status(thm)],[f8797,f8983])).
% 5.57/1.01  fof(f9032,plain,(
% 5.57/1.01    ![X0,X1,X2]: (perp(X0,X1,X1,X2)|~spl0_367)),
% 5.57/1.01    inference(forward_subsumption_resolution,[status(thm)],[f9031,f8983])).
% 5.57/1.01  fof(f9126,plain,(
% 5.57/1.01    ![X0,X1,X2]: (perp(X0,X1,X2,X0)|~spl0_367)),
% 5.57/1.01    inference(resolution,[status(thm)],[f9032,f114])).
% 5.57/1.01  fof(f9161,plain,(
% 5.57/1.01    ![X0,X1,X2]: (perp(X0,X1,X0,X2)|~spl0_367)),
% 5.57/1.01    inference(resolution,[status(thm)],[f9126,f112])).
% 5.57/1.01  fof(f9201,plain,(
% 5.57/1.01    $false|~spl0_367|~spl0_359),
% 5.57/1.01    inference(forward_subsumption_resolution,[status(thm)],[f7575,f9161])).
% 5.57/1.01  fof(f9202,plain,(
% 5.57/1.01    ~spl0_367|~spl0_359),
% 5.57/1.01    inference(contradiction_clause,[status(thm)],[f9201])).
% 5.57/1.01  fof(f9211,plain,(
% 5.57/1.01    ![X0,X1,X2]: (cong(X0,X1,X2,X1)|~spl0_367|~spl0_358)),
% 5.57/1.01    inference(forward_subsumption_resolution,[status(thm)],[f8352,f8999])).
% 5.57/1.01  fof(f9213,plain,(
% 5.57/1.01    ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|perp(X0,X2,X3,X1)|~spl0_367|~spl0_358)),
% 5.57/1.01    inference(backward_subsumption_resolution,[status(thm)],[f232,f9211])).
% 5.57/1.01  fof(f9214,plain,(
% 5.57/1.01    ![X0,X1,X2,X3]: (perp(X0,X1,X2,X3)|~spl0_367|~spl0_358)),
% 5.57/1.01    inference(forward_subsumption_resolution,[status(thm)],[f9213,f9211])).
% 5.57/1.01  fof(f9222,plain,(
% 5.57/1.01    ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|para(X4,X5,X2,X3)|~spl0_367|~spl0_358)),
% 5.57/1.01    inference(backward_subsumption_resolution,[status(thm)],[f117,f9214])).
% 5.57/1.01  fof(f9223,plain,(
% 5.57/1.01    ![X0,X1,X2,X3]: (para(X0,X1,X2,X3)|~spl0_367|~spl0_358)),
% 5.57/1.01    inference(forward_subsumption_resolution,[status(thm)],[f9222,f9214])).
% 5.57/1.01  fof(f9332,plain,(
% 5.57/1.01    ![X0,X1,X2,X3,X4,X5]: (eqangle(X0,X1,X2,X3,X0,X1,X4,X5)|~spl0_367|~spl0_358)),
% 5.57/1.01    inference(backward_subsumption_resolution,[status(thm)],[f1927,f9223])).
% 5.57/1.01  fof(f9334,plain,(
% 5.57/1.01    ![X0,X1,X2,X3,X4,X5]: (eqangle(X0,X1,X2,X3,X4,X5,X4,X5)|~spl0_367|~spl0_358)),
% 5.57/1.01    inference(backward_subsumption_resolution,[status(thm)],[f1925,f9223])).
% 5.57/1.01  fof(f9720,plain,(
% 5.57/1.01    ![X0,X1,X2,X3,X4,X5]: (eqangle(X0,X1,X0,X1,X2,X3,X4,X5)|~spl0_367|~spl0_358)),
% 5.57/1.01    inference(resolution,[status(thm)],[f9332,f144])).
% 5.57/1.01  fof(f10008,plain,(
% 5.57/1.01    ![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)|~spl0_367|~spl0_358)),
% 5.57/1.01    inference(resolution,[status(thm)],[f9720,f147])).
% 5.57/1.01  fof(f10009,plain,(
% 5.57/1.01    ![X0,X1,X2,X3,X4,X5,X6,X7]: (eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|~spl0_367|~spl0_358)),
% 5.57/1.01    inference(forward_subsumption_resolution,[status(thm)],[f10008,f9334])).
% 5.57/1.01  fof(f10460,plain,(
% 5.57/1.01    $false|~spl0_367|~spl0_358),
% 5.57/1.01    inference(backward_subsumption_resolution,[status(thm)],[f381,f10009])).
% 5.57/1.01  fof(f10461,plain,(
% 5.57/1.01    ~spl0_367|~spl0_358),
% 5.57/1.01    inference(contradiction_clause,[status(thm)],[f10460])).
% 5.57/1.01  fof(f10462,plain,(
% 5.57/1.01    $false),
% 5.57/1.01    inference(sat_refutation,[status(thm)],[f3910,f3912,f3914,f3916,f4588,f5879,f6209,f6216,f6266,f6297,f6530,f6532,f6617,f6757,f7333,f7351,f7375,f7384,f7578,f7732,f7756,f7910,f8053,f8386,f9202,f10461])).
% 5.57/1.01  % SZS output end CNFRefutation for theBenchmark.p
% 5.57/1.02  % Elapsed time: 0.742440 seconds
% 5.57/1.02  % CPU time: 5.776946 seconds
% 5.57/1.02  % Memory used: 112.031 MB
%------------------------------------------------------------------------------