TSTP Solution File: GEO607+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO607+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.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 : Tue Apr 30 20:18:24 EDT 2024
% Result : Theorem 16.97s 2.57s
% Output : CNFRefutation 16.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO607+1 : TPTP v8.1.2. Released v7.5.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n003.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Apr 30 01:38:18 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.20/0.35 % Drodi V3.6.0
% 16.97/2.57 % Refutation found
% 16.97/2.57 % SZS status Theorem for theBenchmark: Theorem is valid
% 16.97/2.57 % SZS output start CNFRefutation for theBenchmark
% 16.97/2.57 fof(f1,axiom,(
% 16.97/2.57 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 16.97/2.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.97/2.57 fof(f2,axiom,(
% 16.97/2.57 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 16.97/2.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.97/2.57 fof(f3,axiom,(
% 16.97/2.57 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 16.97/2.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.97/2.57 fof(f7,axiom,(
% 16.97/2.57 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(A,B,D,C) ) )),
% 16.97/2.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.97/2.57 fof(f8,axiom,(
% 16.97/2.57 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 16.97/2.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.97/2.57 fof(f9,axiom,(
% 16.97/2.57 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 16.97/2.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.97/2.57 fof(f10,axiom,(
% 16.97/2.57 (! [A,B,C,D,E,F] :( ( para(A,B,C,D)& perp(C,D,E,F) )=> perp(A,B,E,F) ) )),
% 16.97/2.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.97/2.57 fof(f11,axiom,(
% 16.97/2.57 (! [A,B,M] :( midp(M,B,A)=> midp(M,A,B) ) )),
% 16.97/2.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.97/2.57 fof(f12,axiom,(
% 16.97/2.57 (! [A,B,C,O] :( ( cong(O,A,O,B)& cong(O,A,O,C) )=> circle(O,A,B,C) ) )),
% 16.97/2.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.97/2.57 fof(f13,axiom,(
% 16.97/2.57 (! [A,B,C,D,O] :( ( cong(O,A,O,B)& cong(O,A,O,C)& cong(O,A,O,D) )=> cyclic(A,B,C,D) ) )),
% 16.97/2.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.97/2.57 fof(f19,axiom,(
% 16.97/2.57 (! [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) ) )),
% 16.97/2.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.97/2.57 fof(f20,axiom,(
% 16.97/2.57 (! [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) ) )),
% 16.97/2.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.97/2.57 fof(f21,axiom,(
% 16.97/2.57 (! [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) ) )),
% 16.97/2.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.97/2.57 fof(f23,axiom,(
% 16.97/2.57 (! [A,B,C,D] :( cong(A,B,C,D)=> cong(A,B,D,C) ) )),
% 16.97/2.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.97/2.57 fof(f24,axiom,(
% 16.97/2.57 (! [A,B,C,D] :( cong(A,B,C,D)=> cong(C,D,A,B) ) )),
% 16.97/2.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.97/2.57 fof(f39,axiom,(
% 16.97/2.57 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 16.97/2.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.97/2.57 fof(f40,axiom,(
% 16.97/2.57 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 16.97/2.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.97/2.57 fof(f42,axiom,(
% 16.97/2.57 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& ~ coll(P,Q,A) )=> cyclic(A,B,P,Q) ) )),
% 16.97/2.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.97/2.57 fof(f43,axiom,(
% 16.97/2.57 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 16.97/2.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.97/2.57 fof(f44,axiom,(
% 16.97/2.57 (! [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) ) )),
% 16.97/2.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.97/2.57 fof(f52,axiom,(
% 16.97/2.57 (! [A,B,C,O,M] :( ( circle(O,A,B,C)& coll(M,B,C)& eqangle(A,B,A,C,O,B,O,M) )=> midp(M,B,C) ) )),
% 16.97/2.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.97/2.57 fof(f53,axiom,(
% 16.97/2.57 (! [A,B,C,M] :( ( perp(A,B,B,C)& midp(M,A,C) )=> cong(A,M,B,M) ) )),
% 16.97/2.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.97/2.57 fof(f54,axiom,(
% 16.97/2.57 (! [A,B,C,O] :( ( circle(O,A,B,C)& coll(O,A,C) )=> perp(A,B,B,C) ) )),
% 16.97/2.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.97/2.57 fof(f57,axiom,(
% 16.97/2.57 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 16.97/2.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.97/2.57 fof(f64,axiom,(
% 16.97/2.57 (! [A,B,C,D,M] :( ( midp(M,A,B)& midp(M,C,D) )=> para(A,C,B,D) ) )),
% 16.97/2.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.97/2.57 fof(f69,axiom,(
% 16.97/2.57 (! [A,B,C] :( midp(A,B,C)=> cong(A,B,A,C) ) )),
% 16.97/2.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.97/2.57 fof(f70,axiom,(
% 16.97/2.57 (! [A,B,C] :( midp(A,B,C)=> coll(A,B,C) ) )),
% 16.97/2.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.97/2.57 fof(f75,axiom,(
% 16.97/2.57 (! [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) ) )),
% 16.97/2.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.97/2.57 fof(f87,axiom,(
% 16.97/2.57 (! [A,B,C,O] :(? [P] :( circle(O,A,B,C)=> perp(P,A,A,O) ) ))),
% 16.97/2.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.97/2.57 fof(f95,conjecture,(
% 16.97/2.57 (! [A,B,C,D,E,F] :( ( midp(C,B,A)& perp(D,A,D,B)& circle(E,A,C,D)& circle(F,B,D,C) )=> perp(E,D,D,F) ) )),
% 16.97/2.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.97/2.57 fof(f96,negated_conjecture,(
% 16.97/2.57 ~((! [A,B,C,D,E,F] :( ( midp(C,B,A)& perp(D,A,D,B)& circle(E,A,C,D)& circle(F,B,D,C) )=> perp(E,D,D,F) ) ))),
% 16.97/2.57 inference(negated_conjecture,[status(cth)],[f95])).
% 16.97/2.57 fof(f97,plain,(
% 16.97/2.57 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 16.97/2.57 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 16.97/2.57 fof(f98,plain,(
% 16.97/2.57 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 16.97/2.57 inference(cnf_transformation,[status(esa)],[f97])).
% 16.97/2.57 fof(f99,plain,(
% 16.97/2.57 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 16.97/2.57 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 16.97/2.57 fof(f100,plain,(
% 16.97/2.57 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 16.97/2.57 inference(cnf_transformation,[status(esa)],[f99])).
% 16.97/2.57 fof(f101,plain,(
% 16.97/2.57 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 16.97/2.57 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 16.97/2.57 fof(f102,plain,(
% 16.97/2.57 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 16.97/2.57 inference(miniscoping,[status(esa)],[f101])).
% 16.97/2.57 fof(f103,plain,(
% 16.97/2.57 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 16.97/2.57 inference(cnf_transformation,[status(esa)],[f102])).
% 16.97/2.57 fof(f111,plain,(
% 16.97/2.57 ![A,B,C,D]: (~perp(A,B,C,D)|perp(A,B,D,C))),
% 16.97/2.57 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 16.97/2.57 fof(f112,plain,(
% 16.97/2.57 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X0,X1,X3,X2))),
% 16.97/2.57 inference(cnf_transformation,[status(esa)],[f111])).
% 16.97/2.57 fof(f113,plain,(
% 16.97/2.57 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 16.97/2.57 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 16.97/2.57 fof(f114,plain,(
% 16.97/2.57 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 16.97/2.57 inference(cnf_transformation,[status(esa)],[f113])).
% 16.97/2.57 fof(f115,plain,(
% 16.97/2.57 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 16.97/2.57 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 16.97/2.57 fof(f116,plain,(
% 16.97/2.57 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 16.97/2.57 inference(miniscoping,[status(esa)],[f115])).
% 16.97/2.57 fof(f117,plain,(
% 16.97/2.57 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 16.97/2.57 inference(cnf_transformation,[status(esa)],[f116])).
% 16.97/2.57 fof(f118,plain,(
% 16.97/2.57 ![A,B,C,D,E,F]: ((~para(A,B,C,D)|~perp(C,D,E,F))|perp(A,B,E,F))),
% 16.97/2.57 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 16.97/2.57 fof(f119,plain,(
% 16.97/2.57 ![A,B,E,F]: ((![C,D]: (~para(A,B,C,D)|~perp(C,D,E,F)))|perp(A,B,E,F))),
% 16.97/2.57 inference(miniscoping,[status(esa)],[f118])).
% 16.97/2.57 fof(f120,plain,(
% 16.97/2.57 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|perp(X0,X1,X4,X5))),
% 16.97/2.57 inference(cnf_transformation,[status(esa)],[f119])).
% 16.97/2.57 fof(f121,plain,(
% 16.97/2.57 ![A,B,M]: (~midp(M,B,A)|midp(M,A,B))),
% 16.97/2.57 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 16.97/2.57 fof(f122,plain,(
% 16.97/2.57 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X0,X2,X1))),
% 16.97/2.57 inference(cnf_transformation,[status(esa)],[f121])).
% 16.97/2.57 fof(f123,plain,(
% 16.97/2.57 ![A,B,C,O]: ((~cong(O,A,O,B)|~cong(O,A,O,C))|circle(O,A,B,C))),
% 16.97/2.57 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 16.97/2.57 fof(f124,plain,(
% 16.97/2.57 ![X0,X1,X2,X3]: (~cong(X0,X1,X0,X2)|~cong(X0,X1,X0,X3)|circle(X0,X1,X2,X3))),
% 16.97/2.57 inference(cnf_transformation,[status(esa)],[f123])).
% 16.97/2.57 fof(f125,plain,(
% 16.97/2.57 ![A,B,C,D,O]: (((~cong(O,A,O,B)|~cong(O,A,O,C))|~cong(O,A,O,D))|cyclic(A,B,C,D))),
% 16.97/2.57 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 16.97/2.57 fof(f126,plain,(
% 16.97/2.57 ![A,B,C,D]: ((![O]: ((~cong(O,A,O,B)|~cong(O,A,O,C))|~cong(O,A,O,D)))|cyclic(A,B,C,D))),
% 16.97/2.57 inference(miniscoping,[status(esa)],[f125])).
% 16.97/2.57 fof(f127,plain,(
% 16.97/2.57 ![X0,X1,X2,X3,X4]: (~cong(X0,X1,X0,X2)|~cong(X0,X1,X0,X3)|~cong(X0,X1,X0,X4)|cyclic(X1,X2,X3,X4))),
% 16.97/2.57 inference(cnf_transformation,[status(esa)],[f126])).
% 16.97/2.57 fof(f139,plain,(
% 16.97/2.57 ![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))),
% 16.97/2.57 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 16.97/2.57 fof(f140,plain,(
% 16.97/2.57 ![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))),
% 16.97/2.57 inference(cnf_transformation,[status(esa)],[f139])).
% 16.97/2.57 fof(f141,plain,(
% 16.97/2.57 ![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))),
% 16.97/2.57 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 16.97/2.57 fof(f142,plain,(
% 16.97/2.57 ![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))),
% 16.97/2.57 inference(cnf_transformation,[status(esa)],[f141])).
% 16.97/2.57 fof(f143,plain,(
% 16.97/2.57 ![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))),
% 16.97/2.57 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 16.97/2.57 fof(f144,plain,(
% 16.97/2.57 ![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))),
% 16.97/2.57 inference(cnf_transformation,[status(esa)],[f143])).
% 16.97/2.57 fof(f148,plain,(
% 16.97/2.57 ![A,B,C,D]: (~cong(A,B,C,D)|cong(A,B,D,C))),
% 16.97/2.57 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 16.97/2.57 fof(f149,plain,(
% 16.97/2.57 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X3)|cong(X0,X1,X3,X2))),
% 16.97/2.57 inference(cnf_transformation,[status(esa)],[f148])).
% 16.97/2.57 fof(f150,plain,(
% 16.97/2.57 ![A,B,C,D]: (~cong(A,B,C,D)|cong(C,D,A,B))),
% 16.97/2.57 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 16.97/2.57 fof(f151,plain,(
% 16.97/2.57 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X3)|cong(X2,X3,X0,X1))),
% 16.97/2.57 inference(cnf_transformation,[status(esa)],[f150])).
% 16.97/2.57 fof(f184,plain,(
% 16.97/2.57 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 16.97/2.57 inference(pre_NNF_transformation,[status(esa)],[f39])).
% 16.97/2.57 fof(f185,plain,(
% 16.97/2.57 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 16.97/2.57 inference(miniscoping,[status(esa)],[f184])).
% 16.97/2.57 fof(f186,plain,(
% 16.97/2.57 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 16.97/2.57 inference(cnf_transformation,[status(esa)],[f185])).
% 16.97/2.57 fof(f187,plain,(
% 16.97/2.57 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 16.97/2.57 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 16.97/2.57 fof(f188,plain,(
% 16.97/2.57 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 16.97/2.57 inference(miniscoping,[status(esa)],[f187])).
% 16.97/2.57 fof(f189,plain,(
% 16.97/2.57 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 16.97/2.57 inference(cnf_transformation,[status(esa)],[f188])).
% 16.97/2.57 fof(f192,plain,(
% 16.97/2.57 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|coll(P,Q,A))|cyclic(A,B,P,Q))),
% 16.97/2.57 inference(pre_NNF_transformation,[status(esa)],[f42])).
% 16.97/2.57 fof(f193,plain,(
% 16.97/2.57 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|coll(X0,X3,X1)|cyclic(X1,X2,X0,X3))),
% 16.97/2.57 inference(cnf_transformation,[status(esa)],[f192])).
% 16.97/2.57 fof(f194,plain,(
% 16.97/2.57 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 16.97/2.57 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 16.97/2.57 fof(f195,plain,(
% 16.97/2.57 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 16.97/2.57 inference(cnf_transformation,[status(esa)],[f194])).
% 16.97/2.57 fof(f196,plain,(
% 16.97/2.57 ![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))),
% 16.97/2.57 inference(pre_NNF_transformation,[status(esa)],[f44])).
% 16.97/2.57 fof(f197,plain,(
% 16.97/2.57 ![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))),
% 16.97/2.57 inference(miniscoping,[status(esa)],[f196])).
% 16.97/2.57 fof(f198,plain,(
% 16.97/2.57 ![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))),
% 16.97/2.57 inference(cnf_transformation,[status(esa)],[f197])).
% 16.97/2.57 fof(f217,plain,(
% 16.97/2.57 ![A,B,C,O,M]: (((~circle(O,A,B,C)|~coll(M,B,C))|~eqangle(A,B,A,C,O,B,O,M))|midp(M,B,C))),
% 16.97/2.57 inference(pre_NNF_transformation,[status(esa)],[f52])).
% 16.97/2.57 fof(f218,plain,(
% 16.97/2.57 ![B,C,M]: ((![A,O]: ((~circle(O,A,B,C)|~coll(M,B,C))|~eqangle(A,B,A,C,O,B,O,M)))|midp(M,B,C))),
% 16.97/2.57 inference(miniscoping,[status(esa)],[f217])).
% 16.97/2.57 fof(f219,plain,(
% 16.97/2.57 ![X0,X1,X2,X3,X4]: (~circle(X0,X1,X2,X3)|~coll(X4,X2,X3)|~eqangle(X1,X2,X1,X3,X0,X2,X0,X4)|midp(X4,X2,X3))),
% 16.97/2.57 inference(cnf_transformation,[status(esa)],[f218])).
% 16.97/2.57 fof(f220,plain,(
% 16.97/2.57 ![A,B,C,M]: ((~perp(A,B,B,C)|~midp(M,A,C))|cong(A,M,B,M))),
% 16.97/2.57 inference(pre_NNF_transformation,[status(esa)],[f53])).
% 16.97/2.57 fof(f221,plain,(
% 16.97/2.57 ![A,B,M]: ((![C]: (~perp(A,B,B,C)|~midp(M,A,C)))|cong(A,M,B,M))),
% 16.97/2.57 inference(miniscoping,[status(esa)],[f220])).
% 16.97/2.57 fof(f222,plain,(
% 16.97/2.57 ![X0,X1,X2,X3]: (~perp(X0,X1,X1,X2)|~midp(X3,X0,X2)|cong(X0,X3,X1,X3))),
% 16.97/2.57 inference(cnf_transformation,[status(esa)],[f221])).
% 16.97/2.57 fof(f223,plain,(
% 16.97/2.57 ![A,B,C,O]: ((~circle(O,A,B,C)|~coll(O,A,C))|perp(A,B,B,C))),
% 16.97/2.57 inference(pre_NNF_transformation,[status(esa)],[f54])).
% 16.97/2.57 fof(f224,plain,(
% 16.97/2.57 ![A,B,C]: ((![O]: (~circle(O,A,B,C)|~coll(O,A,C)))|perp(A,B,B,C))),
% 16.97/2.57 inference(miniscoping,[status(esa)],[f223])).
% 16.97/2.57 fof(f225,plain,(
% 16.97/2.57 ![X0,X1,X2,X3]: (~circle(X0,X1,X2,X3)|~coll(X0,X1,X3)|perp(X1,X2,X2,X3))),
% 16.97/2.57 inference(cnf_transformation,[status(esa)],[f224])).
% 16.97/2.57 fof(f231,plain,(
% 16.97/2.57 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 16.97/2.57 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 16.97/2.57 fof(f232,plain,(
% 16.97/2.57 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 16.97/2.57 inference(cnf_transformation,[status(esa)],[f231])).
% 16.97/2.57 fof(f247,plain,(
% 16.97/2.57 ![A,B,C,D,M]: ((~midp(M,A,B)|~midp(M,C,D))|para(A,C,B,D))),
% 16.97/2.57 inference(pre_NNF_transformation,[status(esa)],[f64])).
% 16.97/2.57 fof(f248,plain,(
% 16.97/2.57 ![A,B,C,D]: ((![M]: (~midp(M,A,B)|~midp(M,C,D)))|para(A,C,B,D))),
% 16.97/2.57 inference(miniscoping,[status(esa)],[f247])).
% 16.97/2.57 fof(f249,plain,(
% 16.97/2.57 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~midp(X0,X3,X4)|para(X1,X3,X2,X4))),
% 16.97/2.57 inference(cnf_transformation,[status(esa)],[f248])).
% 16.97/2.57 fof(f259,plain,(
% 16.97/2.57 ![A,B,C]: (~midp(A,B,C)|cong(A,B,A,C))),
% 16.97/2.57 inference(pre_NNF_transformation,[status(esa)],[f69])).
% 16.97/2.57 fof(f260,plain,(
% 16.97/2.57 ![X0,X1,X2]: (~midp(X0,X1,X2)|cong(X0,X1,X0,X2))),
% 16.97/2.57 inference(cnf_transformation,[status(esa)],[f259])).
% 16.97/2.57 fof(f261,plain,(
% 16.97/2.57 ![A,B,C]: (~midp(A,B,C)|coll(A,B,C))),
% 16.97/2.57 inference(pre_NNF_transformation,[status(esa)],[f70])).
% 16.97/2.57 fof(f262,plain,(
% 16.97/2.57 ![X0,X1,X2]: (~midp(X0,X1,X2)|coll(X0,X1,X2))),
% 16.97/2.57 inference(cnf_transformation,[status(esa)],[f261])).
% 16.97/2.57 fof(f272,plain,(
% 16.97/2.57 ![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))),
% 16.97/2.57 inference(pre_NNF_transformation,[status(esa)],[f75])).
% 16.97/2.57 fof(f273,plain,(
% 16.97/2.57 ![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))),
% 16.97/2.57 inference(miniscoping,[status(esa)],[f272])).
% 16.97/2.57 fof(f274,plain,(
% 16.97/2.57 ![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))),
% 16.97/2.57 inference(cnf_transformation,[status(esa)],[f273])).
% 16.97/2.57 fof(f331,plain,(
% 16.97/2.57 ![A,B,C,O]: (?[P]: (~circle(O,A,B,C)|perp(P,A,A,O)))),
% 16.97/2.57 inference(pre_NNF_transformation,[status(esa)],[f87])).
% 16.97/2.57 fof(f332,plain,(
% 16.97/2.57 ![A,O]: ((![B,C]: ~circle(O,A,B,C))|(?[P]: perp(P,A,A,O)))),
% 16.97/2.57 inference(miniscoping,[status(esa)],[f331])).
% 16.97/2.57 fof(f333,plain,(
% 16.97/2.57 ![A,O]: ((![B,C]: ~circle(O,A,B,C))|perp(sk0_11(O,A),A,A,O))),
% 16.97/2.57 inference(skolemization,[status(esa)],[f332])).
% 16.97/2.57 fof(f334,plain,(
% 16.97/2.57 ![X0,X1,X2,X3]: (~circle(X0,X1,X2,X3)|perp(sk0_11(X0,X1),X1,X1,X0))),
% 16.97/2.57 inference(cnf_transformation,[status(esa)],[f333])).
% 16.97/2.57 fof(f369,plain,(
% 16.97/2.57 (?[A,B,C,D,E,F]: ((((midp(C,B,A)&perp(D,A,D,B))&circle(E,A,C,D))&circle(F,B,D,C))&~perp(E,D,D,F)))),
% 16.97/2.57 inference(pre_NNF_transformation,[status(esa)],[f96])).
% 16.97/2.57 fof(f370,plain,(
% 16.97/2.57 ?[D,E,F]: ((?[B,C]: ((?[A]: ((midp(C,B,A)&perp(D,A,D,B))&circle(E,A,C,D)))&circle(F,B,D,C)))&~perp(E,D,D,F))),
% 16.97/2.57 inference(miniscoping,[status(esa)],[f369])).
% 16.97/2.57 fof(f371,plain,(
% 16.97/2.57 ((((midp(sk0_24,sk0_23,sk0_25)&perp(sk0_20,sk0_25,sk0_20,sk0_23))&circle(sk0_21,sk0_25,sk0_24,sk0_20))&circle(sk0_22,sk0_23,sk0_20,sk0_24))&~perp(sk0_21,sk0_20,sk0_20,sk0_22))),
% 16.97/2.57 inference(skolemization,[status(esa)],[f370])).
% 16.97/2.57 fof(f372,plain,(
% 16.97/2.57 midp(sk0_24,sk0_23,sk0_25)),
% 16.97/2.57 inference(cnf_transformation,[status(esa)],[f371])).
% 16.97/2.57 fof(f373,plain,(
% 16.97/2.57 perp(sk0_20,sk0_25,sk0_20,sk0_23)),
% 16.97/2.57 inference(cnf_transformation,[status(esa)],[f371])).
% 16.97/2.57 fof(f375,plain,(
% 16.97/2.57 circle(sk0_22,sk0_23,sk0_20,sk0_24)),
% 16.97/2.57 inference(cnf_transformation,[status(esa)],[f371])).
% 16.97/2.57 fof(f376,plain,(
% 16.97/2.57 ~perp(sk0_21,sk0_20,sk0_20,sk0_22)),
% 16.97/2.57 inference(cnf_transformation,[status(esa)],[f371])).
% 16.97/2.57 fof(f379,plain,(
% 16.97/2.57 midp(sk0_24,sk0_25,sk0_23)),
% 16.97/2.57 inference(resolution,[status(thm)],[f122,f372])).
% 16.97/2.57 fof(f381,plain,(
% 16.97/2.57 coll(sk0_24,sk0_25,sk0_23)),
% 16.97/2.57 inference(resolution,[status(thm)],[f262,f379])).
% 16.97/2.57 fof(f382,plain,(
% 16.97/2.57 coll(sk0_24,sk0_23,sk0_25)),
% 16.97/2.57 inference(resolution,[status(thm)],[f262,f372])).
% 16.97/2.57 fof(f383,plain,(
% 16.97/2.57 cong(sk0_24,sk0_25,sk0_24,sk0_23)),
% 16.97/2.57 inference(resolution,[status(thm)],[f260,f379])).
% 16.97/2.57 fof(f384,plain,(
% 16.97/2.57 cong(sk0_24,sk0_23,sk0_24,sk0_25)),
% 16.97/2.57 inference(resolution,[status(thm)],[f260,f372])).
% 16.97/2.57 fof(f386,plain,(
% 16.97/2.57 perp(sk0_20,sk0_23,sk0_20,sk0_25)),
% 16.97/2.57 inference(resolution,[status(thm)],[f114,f373])).
% 16.97/2.57 fof(f388,plain,(
% 16.97/2.57 perp(sk0_20,sk0_23,sk0_25,sk0_20)),
% 16.97/2.57 inference(resolution,[status(thm)],[f386,f112])).
% 16.97/2.57 fof(f391,plain,(
% 16.97/2.57 perp(sk0_25,sk0_20,sk0_20,sk0_23)),
% 16.97/2.57 inference(resolution,[status(thm)],[f388,f114])).
% 16.97/2.57 fof(f399,plain,(
% 16.97/2.57 spl0_0 <=> coll(sk0_24,sk0_23,sk0_25)),
% 16.97/2.57 introduced(split_symbol_definition)).
% 16.97/2.57 fof(f401,plain,(
% 16.97/2.57 ~coll(sk0_24,sk0_23,sk0_25)|spl0_0),
% 16.97/2.57 inference(component_clause,[status(thm)],[f399])).
% 16.97/2.57 fof(f407,plain,(
% 16.97/2.57 spl0_2 <=> coll(sk0_24,sk0_25,sk0_23)),
% 16.97/2.57 introduced(split_symbol_definition)).
% 16.97/2.57 fof(f409,plain,(
% 16.97/2.57 ~coll(sk0_24,sk0_25,sk0_23)|spl0_2),
% 16.97/2.57 inference(component_clause,[status(thm)],[f407])).
% 16.97/2.57 fof(f415,plain,(
% 16.97/2.57 $false|spl0_2),
% 16.97/2.57 inference(forward_subsumption_resolution,[status(thm)],[f409,f381])).
% 16.97/2.57 fof(f416,plain,(
% 16.97/2.57 spl0_2),
% 16.97/2.57 inference(contradiction_clause,[status(thm)],[f415])).
% 16.97/2.57 fof(f417,plain,(
% 16.97/2.57 $false|spl0_0),
% 16.97/2.57 inference(forward_subsumption_resolution,[status(thm)],[f401,f382])).
% 16.97/2.57 fof(f418,plain,(
% 16.97/2.57 spl0_0),
% 16.97/2.57 inference(contradiction_clause,[status(thm)],[f417])).
% 16.97/2.57 fof(f419,plain,(
% 16.97/2.57 ![X0]: (~midp(X0,sk0_25,sk0_23)|cong(sk0_25,X0,sk0_20,X0))),
% 16.97/2.57 inference(resolution,[status(thm)],[f222,f391])).
% 16.97/2.57 fof(f421,plain,(
% 16.97/2.57 cong(sk0_25,sk0_24,sk0_20,sk0_24)),
% 16.97/2.57 inference(resolution,[status(thm)],[f419,f379])).
% 16.97/2.57 fof(f503,plain,(
% 16.97/2.57 ![X0]: (~cong(sk0_24,sk0_23,sk0_24,X0)|circle(sk0_24,sk0_23,X0,sk0_25))),
% 16.97/2.57 inference(resolution,[status(thm)],[f124,f384])).
% 16.97/2.57 fof(f504,plain,(
% 16.97/2.57 ![X0]: (~cong(sk0_24,sk0_25,sk0_24,X0)|circle(sk0_24,sk0_25,X0,sk0_23))),
% 16.97/2.57 inference(resolution,[status(thm)],[f124,f383])).
% 16.97/2.57 fof(f505,plain,(
% 16.97/2.57 circle(sk0_24,sk0_23,sk0_25,sk0_25)),
% 16.97/2.57 inference(resolution,[status(thm)],[f503,f384])).
% 16.97/2.57 fof(f506,plain,(
% 16.97/2.57 spl0_24 <=> perp(sk0_23,sk0_25,sk0_25,sk0_25)),
% 16.97/2.57 introduced(split_symbol_definition)).
% 16.97/2.57 fof(f507,plain,(
% 16.97/2.57 perp(sk0_23,sk0_25,sk0_25,sk0_25)|~spl0_24),
% 16.97/2.57 inference(component_clause,[status(thm)],[f506])).
% 16.97/2.57 fof(f509,plain,(
% 16.97/2.57 ~coll(sk0_24,sk0_23,sk0_25)|perp(sk0_23,sk0_25,sk0_25,sk0_25)),
% 16.97/2.57 inference(resolution,[status(thm)],[f505,f225])).
% 16.97/2.57 fof(f510,plain,(
% 16.97/2.57 ~spl0_0|spl0_24),
% 16.97/2.57 inference(split_clause,[status(thm)],[f509,f399,f506])).
% 16.97/2.57 fof(f511,plain,(
% 16.97/2.57 spl0_25 <=> midp(sk0_25,sk0_25,sk0_25)),
% 16.97/2.57 introduced(split_symbol_definition)).
% 16.97/2.57 fof(f512,plain,(
% 16.97/2.57 midp(sk0_25,sk0_25,sk0_25)|~spl0_25),
% 16.97/2.57 inference(component_clause,[status(thm)],[f511])).
% 16.97/2.57 fof(f520,plain,(
% 16.97/2.57 perp(sk0_25,sk0_25,sk0_23,sk0_25)|~spl0_24),
% 16.97/2.57 inference(resolution,[status(thm)],[f507,f114])).
% 16.97/2.57 fof(f531,plain,(
% 16.97/2.57 perp(sk0_25,sk0_25,sk0_25,sk0_23)|~spl0_24),
% 16.97/2.57 inference(resolution,[status(thm)],[f520,f112])).
% 16.97/2.57 fof(f540,plain,(
% 16.97/2.57 ![X0]: (~midp(X0,sk0_25,sk0_23)|cong(sk0_25,X0,sk0_25,X0)|~spl0_24)),
% 16.97/2.57 inference(resolution,[status(thm)],[f531,f222])).
% 16.97/2.57 fof(f554,plain,(
% 16.97/2.57 cong(sk0_25,sk0_24,sk0_25,sk0_24)|~spl0_24),
% 16.97/2.57 inference(resolution,[status(thm)],[f540,f379])).
% 16.97/2.57 fof(f564,plain,(
% 16.97/2.57 circle(sk0_24,sk0_25,sk0_23,sk0_23)),
% 16.97/2.57 inference(resolution,[status(thm)],[f504,f383])).
% 16.97/2.57 fof(f565,plain,(
% 16.97/2.57 spl0_35 <=> perp(sk0_25,sk0_23,sk0_23,sk0_23)),
% 16.97/2.57 introduced(split_symbol_definition)).
% 16.97/2.57 fof(f566,plain,(
% 16.97/2.57 perp(sk0_25,sk0_23,sk0_23,sk0_23)|~spl0_35),
% 16.97/2.57 inference(component_clause,[status(thm)],[f565])).
% 16.97/2.57 fof(f568,plain,(
% 16.97/2.57 ~coll(sk0_24,sk0_25,sk0_23)|perp(sk0_25,sk0_23,sk0_23,sk0_23)),
% 16.97/2.57 inference(resolution,[status(thm)],[f564,f225])).
% 16.97/2.57 fof(f569,plain,(
% 16.97/2.57 ~spl0_2|spl0_35),
% 16.97/2.57 inference(split_clause,[status(thm)],[f568,f407,f565])).
% 16.97/2.57 fof(f579,plain,(
% 16.97/2.57 perp(sk0_23,sk0_23,sk0_25,sk0_23)|~spl0_35),
% 16.97/2.57 inference(resolution,[status(thm)],[f566,f114])).
% 16.97/2.57 fof(f591,plain,(
% 16.97/2.57 perp(sk0_23,sk0_23,sk0_23,sk0_25)|~spl0_35),
% 16.97/2.57 inference(resolution,[status(thm)],[f579,f112])).
% 16.97/2.57 fof(f600,plain,(
% 16.97/2.57 ![X0]: (~midp(X0,sk0_23,sk0_25)|cong(sk0_23,X0,sk0_23,X0)|~spl0_35)),
% 16.97/2.57 inference(resolution,[status(thm)],[f591,f222])).
% 16.97/2.57 fof(f613,plain,(
% 16.97/2.57 cong(sk0_23,sk0_24,sk0_23,sk0_24)|~spl0_35),
% 16.97/2.57 inference(resolution,[status(thm)],[f600,f372])).
% 16.97/2.57 fof(f614,plain,(
% 16.97/2.57 ![X0]: (~cong(sk0_23,sk0_24,sk0_23,X0)|circle(sk0_23,sk0_24,X0,sk0_24)|~spl0_35)),
% 16.97/2.57 inference(resolution,[status(thm)],[f613,f124])).
% 16.97/2.57 fof(f615,plain,(
% 16.97/2.57 spl0_44 <=> coll(sk0_23,sk0_24,sk0_24)),
% 16.97/2.57 introduced(split_symbol_definition)).
% 16.97/2.57 fof(f617,plain,(
% 16.97/2.57 ~coll(sk0_23,sk0_24,sk0_24)|spl0_44),
% 16.97/2.57 inference(component_clause,[status(thm)],[f615])).
% 16.97/2.57 fof(f758,plain,(
% 16.97/2.57 coll(sk0_23,sk0_24,sk0_25)),
% 16.97/2.57 inference(resolution,[status(thm)],[f100,f382])).
% 16.97/2.57 fof(f759,plain,(
% 16.97/2.57 coll(sk0_25,sk0_24,sk0_23)),
% 16.97/2.57 inference(resolution,[status(thm)],[f100,f381])).
% 16.97/2.57 fof(f761,plain,(
% 16.97/2.57 coll(sk0_23,sk0_25,sk0_24)),
% 16.97/2.57 inference(resolution,[status(thm)],[f758,f98])).
% 16.97/2.57 fof(f763,plain,(
% 16.97/2.57 coll(sk0_25,sk0_23,sk0_24)),
% 16.97/2.57 inference(resolution,[status(thm)],[f759,f98])).
% 16.97/2.57 fof(f776,plain,(
% 16.97/2.57 cong(sk0_25,sk0_24,sk0_24,sk0_25)|~spl0_24),
% 16.97/2.57 inference(resolution,[status(thm)],[f149,f554])).
% 16.97/2.57 fof(f777,plain,(
% 16.97/2.57 cong(sk0_25,sk0_24,sk0_24,sk0_20)),
% 16.97/2.57 inference(resolution,[status(thm)],[f149,f421])).
% 16.97/2.57 fof(f793,plain,(
% 16.97/2.57 cong(sk0_24,sk0_20,sk0_25,sk0_24)),
% 16.97/2.57 inference(resolution,[status(thm)],[f151,f777])).
% 16.97/2.57 fof(f794,plain,(
% 16.97/2.57 cong(sk0_24,sk0_25,sk0_25,sk0_24)|~spl0_24),
% 16.97/2.57 inference(resolution,[status(thm)],[f151,f776])).
% 16.97/2.57 fof(f808,plain,(
% 16.97/2.57 cong(sk0_24,sk0_20,sk0_24,sk0_25)),
% 16.97/2.57 inference(resolution,[status(thm)],[f793,f149])).
% 16.97/2.57 fof(f810,plain,(
% 16.97/2.57 cong(sk0_24,sk0_25,sk0_24,sk0_25)|~spl0_24),
% 16.97/2.57 inference(resolution,[status(thm)],[f794,f149])).
% 16.97/2.57 fof(f834,plain,(
% 16.97/2.57 cong(sk0_24,sk0_25,sk0_24,sk0_20)),
% 16.97/2.57 inference(resolution,[status(thm)],[f808,f151])).
% 16.97/2.57 fof(f836,plain,(
% 16.97/2.57 ![X0]: (~cong(sk0_24,sk0_20,sk0_24,X0)|circle(sk0_24,sk0_20,X0,sk0_25))),
% 16.97/2.57 inference(resolution,[status(thm)],[f808,f124])).
% 16.97/2.57 fof(f846,plain,(
% 16.97/2.57 ![X0]: (~cong(sk0_24,sk0_25,sk0_24,X0)|circle(sk0_24,sk0_25,X0,sk0_25)|~spl0_24)),
% 16.97/2.57 inference(resolution,[status(thm)],[f810,f124])).
% 16.97/2.57 fof(f847,plain,(
% 16.97/2.57 spl0_67 <=> coll(sk0_24,sk0_25,sk0_25)),
% 16.97/2.57 introduced(split_symbol_definition)).
% 16.97/2.57 fof(f849,plain,(
% 16.97/2.57 ~coll(sk0_24,sk0_25,sk0_25)|spl0_67),
% 16.97/2.57 inference(component_clause,[status(thm)],[f847])).
% 16.97/2.57 fof(f904,plain,(
% 16.97/2.57 ![X0]: (~coll(sk0_25,sk0_23,X0)|coll(X0,sk0_24,sk0_25))),
% 16.97/2.57 inference(resolution,[status(thm)],[f103,f763])).
% 16.97/2.57 fof(f905,plain,(
% 16.97/2.57 ![X0]: (~coll(sk0_25,sk0_24,X0)|coll(X0,sk0_23,sk0_25))),
% 16.97/2.57 inference(resolution,[status(thm)],[f103,f759])).
% 16.97/2.57 fof(f906,plain,(
% 16.97/2.57 ![X0]: (~coll(sk0_23,sk0_25,X0)|coll(X0,sk0_24,sk0_23))),
% 16.97/2.57 inference(resolution,[status(thm)],[f103,f761])).
% 16.97/2.57 fof(f907,plain,(
% 16.97/2.57 ![X0]: (~coll(sk0_23,sk0_24,X0)|coll(X0,sk0_25,sk0_23))),
% 16.97/2.57 inference(resolution,[status(thm)],[f103,f758])).
% 16.97/2.57 fof(f910,plain,(
% 16.97/2.57 coll(sk0_24,sk0_24,sk0_25)),
% 16.97/2.57 inference(resolution,[status(thm)],[f904,f763])).
% 16.97/2.57 fof(f913,plain,(
% 16.97/2.57 coll(sk0_24,sk0_25,sk0_24)),
% 16.97/2.57 inference(resolution,[status(thm)],[f910,f98])).
% 16.97/2.57 fof(f914,plain,(
% 16.97/2.57 ![X0]: (~coll(sk0_24,sk0_25,X0)|coll(X0,sk0_24,sk0_24))),
% 16.97/2.57 inference(resolution,[status(thm)],[f913,f103])).
% 16.97/2.57 fof(f950,plain,(
% 16.97/2.57 coll(sk0_23,sk0_23,sk0_25)),
% 16.97/2.57 inference(resolution,[status(thm)],[f905,f759])).
% 16.97/2.57 fof(f953,plain,(
% 16.97/2.57 coll(sk0_23,sk0_25,sk0_23)),
% 16.97/2.57 inference(resolution,[status(thm)],[f950,f98])).
% 16.97/2.57 fof(f954,plain,(
% 16.97/2.57 ![X0]: (~coll(sk0_23,sk0_25,X0)|coll(X0,sk0_23,sk0_23))),
% 16.97/2.57 inference(resolution,[status(thm)],[f953,f103])).
% 16.97/2.57 fof(f955,plain,(
% 16.97/2.57 coll(sk0_25,sk0_23,sk0_23)),
% 16.97/2.57 inference(resolution,[status(thm)],[f953,f100])).
% 16.97/2.57 fof(f962,plain,(
% 16.97/2.57 coll(sk0_24,sk0_24,sk0_23)),
% 16.97/2.57 inference(resolution,[status(thm)],[f906,f761])).
% 16.97/2.57 fof(f970,plain,(
% 16.97/2.57 coll(sk0_24,sk0_23,sk0_24)),
% 16.97/2.57 inference(resolution,[status(thm)],[f962,f98])).
% 16.97/2.57 fof(f980,plain,(
% 16.97/2.57 coll(sk0_23,sk0_24,sk0_24)),
% 16.97/2.57 inference(resolution,[status(thm)],[f970,f100])).
% 16.97/2.57 fof(f981,plain,(
% 16.97/2.57 $false|spl0_44),
% 16.97/2.57 inference(forward_subsumption_resolution,[status(thm)],[f980,f617])).
% 16.97/2.57 fof(f982,plain,(
% 16.97/2.57 spl0_44),
% 16.97/2.57 inference(contradiction_clause,[status(thm)],[f981])).
% 16.97/2.57 fof(f1017,plain,(
% 16.97/2.58 ![X0,X1]: (~perp(X0,X1,sk0_20,sk0_23)|para(X0,X1,sk0_20,sk0_25))),
% 16.97/2.58 inference(resolution,[status(thm)],[f117,f386])).
% 16.97/2.58 fof(f1020,plain,(
% 16.97/2.58 ![X0,X1]: (~perp(X0,X1,sk0_20,sk0_25)|para(X0,X1,sk0_20,sk0_23))),
% 16.97/2.58 inference(resolution,[status(thm)],[f117,f373])).
% 16.97/2.58 fof(f1091,plain,(
% 16.97/2.58 coll(sk0_25,sk0_25,sk0_23)),
% 16.97/2.58 inference(resolution,[status(thm)],[f907,f758])).
% 16.97/2.58 fof(f1094,plain,(
% 16.97/2.58 coll(sk0_25,sk0_23,sk0_25)),
% 16.97/2.58 inference(resolution,[status(thm)],[f1091,f98])).
% 16.97/2.58 fof(f1095,plain,(
% 16.97/2.58 coll(sk0_25,sk0_24,sk0_25)),
% 16.97/2.58 inference(resolution,[status(thm)],[f1094,f904])).
% 16.97/2.58 fof(f1096,plain,(
% 16.97/2.58 ![X0]: (~coll(sk0_25,sk0_23,X0)|coll(X0,sk0_25,sk0_25))),
% 16.97/2.58 inference(resolution,[status(thm)],[f1094,f103])).
% 16.97/2.58 fof(f1097,plain,(
% 16.97/2.58 coll(sk0_23,sk0_25,sk0_25)),
% 16.97/2.58 inference(resolution,[status(thm)],[f1094,f100])).
% 16.97/2.58 fof(f1101,plain,(
% 16.97/2.58 coll(sk0_24,sk0_25,sk0_25)),
% 16.97/2.58 inference(resolution,[status(thm)],[f1095,f100])).
% 16.97/2.58 fof(f1102,plain,(
% 16.97/2.58 $false|spl0_67),
% 16.97/2.58 inference(forward_subsumption_resolution,[status(thm)],[f1101,f849])).
% 16.97/2.58 fof(f1103,plain,(
% 16.97/2.58 spl0_67),
% 16.97/2.58 inference(contradiction_clause,[status(thm)],[f1102])).
% 16.97/2.58 fof(f1111,plain,(
% 16.97/2.58 para(sk0_20,sk0_23,sk0_20,sk0_23)),
% 16.97/2.58 inference(resolution,[status(thm)],[f1020,f386])).
% 16.97/2.58 fof(f1129,plain,(
% 16.97/2.58 coll(sk0_24,sk0_24,sk0_24)),
% 16.97/2.58 inference(resolution,[status(thm)],[f914,f913])).
% 16.97/2.58 fof(f1142,plain,(
% 16.97/2.58 para(sk0_20,sk0_25,sk0_20,sk0_25)),
% 16.97/2.58 inference(resolution,[status(thm)],[f1017,f373])).
% 16.97/2.58 fof(f1144,plain,(
% 16.97/2.58 coll(sk0_23,sk0_23,sk0_23)),
% 16.97/2.58 inference(resolution,[status(thm)],[f954,f953])).
% 16.97/2.58 fof(f1173,plain,(
% 16.97/2.58 coll(sk0_25,sk0_25,sk0_25)),
% 16.97/2.58 inference(resolution,[status(thm)],[f1096,f1094])).
% 16.97/2.58 fof(f1234,plain,(
% 16.97/2.58 spl0_78 <=> perp(sk0_24,sk0_24,sk0_24,sk0_24)),
% 16.97/2.58 introduced(split_symbol_definition)).
% 16.97/2.58 fof(f1235,plain,(
% 16.97/2.58 perp(sk0_24,sk0_24,sk0_24,sk0_24)|~spl0_78),
% 16.97/2.58 inference(component_clause,[status(thm)],[f1234])).
% 16.97/2.58 fof(f1252,plain,(
% 16.97/2.58 circle(sk0_23,sk0_24,sk0_24,sk0_24)|~spl0_35),
% 16.97/2.58 inference(resolution,[status(thm)],[f614,f613])).
% 16.97/2.58 fof(f1255,plain,(
% 16.97/2.58 ~coll(sk0_23,sk0_24,sk0_24)|perp(sk0_24,sk0_24,sk0_24,sk0_24)|~spl0_35),
% 16.97/2.58 inference(resolution,[status(thm)],[f1252,f225])).
% 16.97/2.58 fof(f1256,plain,(
% 16.97/2.58 ~spl0_44|spl0_78|~spl0_35),
% 16.97/2.58 inference(split_clause,[status(thm)],[f1255,f615,f1234,f565])).
% 16.97/2.58 fof(f1392,plain,(
% 16.97/2.58 circle(sk0_24,sk0_20,sk0_25,sk0_25)),
% 16.97/2.58 inference(resolution,[status(thm)],[f836,f808])).
% 16.97/2.58 fof(f1415,plain,(
% 16.97/2.58 circle(sk0_24,sk0_25,sk0_20,sk0_25)|~spl0_24),
% 16.97/2.58 inference(resolution,[status(thm)],[f846,f834])).
% 16.97/2.58 fof(f1420,plain,(
% 16.97/2.58 spl0_94 <=> perp(sk0_25,sk0_20,sk0_20,sk0_25)),
% 16.97/2.58 introduced(split_symbol_definition)).
% 16.97/2.58 fof(f1421,plain,(
% 16.97/2.58 perp(sk0_25,sk0_20,sk0_20,sk0_25)|~spl0_94),
% 16.97/2.58 inference(component_clause,[status(thm)],[f1420])).
% 16.97/2.58 fof(f1423,plain,(
% 16.97/2.58 ~coll(sk0_24,sk0_25,sk0_25)|perp(sk0_25,sk0_20,sk0_20,sk0_25)|~spl0_24),
% 16.97/2.58 inference(resolution,[status(thm)],[f1415,f225])).
% 16.97/2.58 fof(f1424,plain,(
% 16.97/2.58 ~spl0_67|spl0_94|~spl0_24),
% 16.97/2.58 inference(split_clause,[status(thm)],[f1423,f847,f1420,f506])).
% 16.97/2.58 fof(f1448,plain,(
% 16.97/2.58 ![X0]: (~midp(X0,sk0_25,sk0_25)|cong(sk0_25,X0,sk0_20,X0)|~spl0_94)),
% 16.97/2.58 inference(resolution,[status(thm)],[f1421,f222])).
% 16.97/2.58 fof(f1530,plain,(
% 16.97/2.58 perp(sk0_11(sk0_22,sk0_23),sk0_23,sk0_23,sk0_22)),
% 16.97/2.58 inference(resolution,[status(thm)],[f334,f375])).
% 16.97/2.58 fof(f1847,plain,(
% 16.97/2.58 ![X0,X1]: (~perp(X0,X1,sk0_11(sk0_22,sk0_23),sk0_23)|para(X0,X1,sk0_23,sk0_22))),
% 16.97/2.58 inference(resolution,[status(thm)],[f1530,f117])).
% 16.97/2.58 fof(f1857,plain,(
% 16.97/2.58 perp(sk0_23,sk0_22,sk0_11(sk0_22,sk0_23),sk0_23)),
% 16.97/2.58 inference(resolution,[status(thm)],[f1530,f114])).
% 16.97/2.58 fof(f1987,plain,(
% 16.97/2.58 para(sk0_23,sk0_22,sk0_23,sk0_22)),
% 16.97/2.58 inference(resolution,[status(thm)],[f1857,f1847])).
% 16.97/2.58 fof(f2647,plain,(
% 16.97/2.58 ![X0,X1]: (eqangle(sk0_23,sk0_22,X0,X1,sk0_23,sk0_22,X0,X1))),
% 16.97/2.58 inference(resolution,[status(thm)],[f189,f1987])).
% 16.97/2.58 fof(f2650,plain,(
% 16.97/2.58 ![X0,X1]: (eqangle(sk0_20,sk0_25,X0,X1,sk0_20,sk0_25,X0,X1))),
% 16.97/2.58 inference(resolution,[status(thm)],[f189,f1142])).
% 16.97/2.58 fof(f2652,plain,(
% 16.97/2.58 ![X0,X1]: (eqangle(sk0_20,sk0_23,X0,X1,sk0_20,sk0_23,X0,X1))),
% 16.97/2.58 inference(resolution,[status(thm)],[f189,f1111])).
% 16.97/2.58 fof(f2732,plain,(
% 16.97/2.58 ![X0,X1]: (eqangle(sk0_23,sk0_22,sk0_23,sk0_22,X0,X1,X0,X1))),
% 16.97/2.58 inference(resolution,[status(thm)],[f2647,f144])).
% 16.97/2.58 fof(f2734,plain,(
% 16.97/2.58 ![X0,X1]: (eqangle(X0,X1,sk0_23,sk0_22,X0,X1,sk0_23,sk0_22))),
% 16.97/2.58 inference(resolution,[status(thm)],[f2647,f140])).
% 16.97/2.58 fof(f2842,plain,(
% 16.97/2.58 ![X0]: (~cyclic(sk0_25,X0,sk0_20,sk0_25)|~cyclic(sk0_25,X0,sk0_20,X0)|~cyclic(sk0_25,X0,sk0_20,sk0_20)|cong(sk0_25,X0,sk0_25,X0))),
% 16.97/2.58 inference(resolution,[status(thm)],[f2650,f198])).
% 16.97/2.58 fof(f2853,plain,(
% 16.97/2.58 ![X0,X1]: (eqangle(sk0_20,sk0_25,sk0_20,sk0_25,X0,X1,X0,X1))),
% 16.97/2.58 inference(resolution,[status(thm)],[f2650,f144])).
% 16.97/2.58 fof(f2884,plain,(
% 16.97/2.58 ![X0,X1]: (eqangle(sk0_20,sk0_23,sk0_20,sk0_23,X0,X1,X0,X1))),
% 16.97/2.58 inference(resolution,[status(thm)],[f2652,f144])).
% 16.97/2.58 fof(f2919,plain,(
% 16.97/2.58 ![X0,X1]: (eqangle(X0,X1,X0,X1,sk0_23,sk0_22,sk0_23,sk0_22))),
% 16.97/2.58 inference(resolution,[status(thm)],[f2732,f142])).
% 16.97/2.58 fof(f2980,plain,(
% 16.97/2.58 ![X0,X1]: (para(X0,X1,X0,X1))),
% 16.97/2.58 inference(resolution,[status(thm)],[f2734,f186])).
% 16.97/2.58 fof(f3294,plain,(
% 16.97/2.58 spl0_167 <=> ~cyclic(sk0_25,sk0_25,sk0_20,X1)),
% 16.97/2.58 introduced(split_symbol_definition)).
% 16.97/2.58 fof(f3295,plain,(
% 16.97/2.58 ![X0]: (~cyclic(sk0_25,sk0_25,sk0_20,X0)|~spl0_167)),
% 16.97/2.58 inference(component_clause,[status(thm)],[f3294])).
% 16.97/2.58 fof(f3299,plain,(
% 16.97/2.58 ![X0]: (~coll(sk0_20,X0,sk0_25)|cyclic(sk0_25,sk0_25,sk0_20,X0))),
% 16.97/2.58 inference(resolution,[status(thm)],[f2853,f195])).
% 16.97/2.58 fof(f3300,plain,(
% 16.97/2.58 ![X0]: (coll(sk0_20,X0,sk0_25)|cyclic(sk0_25,sk0_25,sk0_20,X0))),
% 16.97/2.58 inference(resolution,[status(thm)],[f2853,f193])).
% 16.97/2.58 fof(f3301,plain,(
% 16.97/2.58 ![X0]: (cyclic(sk0_25,sk0_25,sk0_20,X0))),
% 16.97/2.58 inference(forward_subsumption_resolution,[status(thm)],[f3300,f3299])).
% 16.97/2.58 fof(f3308,plain,(
% 16.97/2.58 spl0_168 <=> ~circle(X0,sk0_20,sk0_25,sk0_25)),
% 16.97/2.58 introduced(split_symbol_definition)).
% 16.97/2.58 fof(f3309,plain,(
% 16.97/2.58 ![X0]: (~circle(X0,sk0_20,sk0_25,sk0_25)|~spl0_168)),
% 16.97/2.58 inference(component_clause,[status(thm)],[f3308])).
% 16.97/2.58 fof(f3311,plain,(
% 16.97/2.58 spl0_169 <=> coll(sk0_25,sk0_25,sk0_25)),
% 16.97/2.58 introduced(split_symbol_definition)).
% 16.97/2.58 fof(f3313,plain,(
% 16.97/2.58 ~coll(sk0_25,sk0_25,sk0_25)|spl0_169),
% 16.97/2.58 inference(component_clause,[status(thm)],[f3311])).
% 16.97/2.58 fof(f3314,plain,(
% 16.97/2.58 ![X0]: (~circle(X0,sk0_20,sk0_25,sk0_25)|~coll(sk0_25,sk0_25,sk0_25)|midp(sk0_25,sk0_25,sk0_25))),
% 16.97/2.58 inference(resolution,[status(thm)],[f2853,f219])).
% 16.97/2.58 fof(f3315,plain,(
% 16.97/2.58 spl0_168|~spl0_169|spl0_25),
% 16.97/2.58 inference(split_clause,[status(thm)],[f3314,f3308,f3311,f511])).
% 16.97/2.58 fof(f3316,plain,(
% 16.97/2.58 $false|spl0_169),
% 16.97/2.58 inference(forward_subsumption_resolution,[status(thm)],[f3313,f1173])).
% 16.97/2.58 fof(f3317,plain,(
% 16.97/2.58 spl0_169),
% 16.97/2.58 inference(contradiction_clause,[status(thm)],[f3316])).
% 16.97/2.58 fof(f3320,plain,(
% 16.97/2.58 $false|~spl0_168),
% 16.97/2.58 inference(backward_subsumption_resolution,[status(thm)],[f1392,f3309])).
% 16.97/2.58 fof(f3321,plain,(
% 16.97/2.58 ~spl0_168),
% 16.97/2.58 inference(contradiction_clause,[status(thm)],[f3320])).
% 16.97/2.58 fof(f3335,plain,(
% 16.97/2.58 $false|~spl0_167),
% 16.97/2.58 inference(forward_subsumption_resolution,[status(thm)],[f3295,f3301])).
% 16.97/2.58 fof(f3336,plain,(
% 16.97/2.58 ~spl0_167),
% 16.97/2.58 inference(contradiction_clause,[status(thm)],[f3335])).
% 16.97/2.58 fof(f3337,plain,(
% 16.97/2.58 cong(sk0_25,sk0_25,sk0_20,sk0_25)|~spl0_25|~spl0_94),
% 16.97/2.58 inference(resolution,[status(thm)],[f512,f1448])).
% 16.97/2.58 fof(f3407,plain,(
% 16.97/2.58 spl0_174 <=> coll(sk0_23,sk0_25,sk0_25)),
% 16.97/2.58 introduced(split_symbol_definition)).
% 16.97/2.58 fof(f3409,plain,(
% 16.97/2.58 ~coll(sk0_23,sk0_25,sk0_25)|spl0_174),
% 16.97/2.58 inference(component_clause,[status(thm)],[f3407])).
% 16.97/2.58 fof(f3412,plain,(
% 16.97/2.58 $false|spl0_174),
% 16.97/2.58 inference(forward_subsumption_resolution,[status(thm)],[f3409,f1097])).
% 16.97/2.58 fof(f3413,plain,(
% 16.97/2.58 spl0_174),
% 16.97/2.58 inference(contradiction_clause,[status(thm)],[f3412])).
% 16.97/2.58 fof(f3442,plain,(
% 16.97/2.58 cong(sk0_25,sk0_25,sk0_25,sk0_20)|~spl0_25|~spl0_94),
% 16.97/2.58 inference(resolution,[status(thm)],[f3337,f149])).
% 16.97/2.58 fof(f3473,plain,(
% 16.97/2.58 spl0_179 <=> coll(sk0_25,sk0_23,sk0_23)),
% 16.97/2.58 introduced(split_symbol_definition)).
% 16.97/2.58 fof(f3475,plain,(
% 16.97/2.58 ~coll(sk0_25,sk0_23,sk0_23)|spl0_179),
% 16.97/2.58 inference(component_clause,[status(thm)],[f3473])).
% 16.97/2.58 fof(f3478,plain,(
% 16.97/2.58 $false|spl0_179),
% 16.97/2.58 inference(forward_subsumption_resolution,[status(thm)],[f3475,f955])).
% 16.97/2.58 fof(f3479,plain,(
% 16.97/2.58 spl0_179),
% 16.97/2.58 inference(contradiction_clause,[status(thm)],[f3478])).
% 16.97/2.58 fof(f3532,plain,(
% 16.97/2.58 ![X0,X1]: (~cong(sk0_25,sk0_25,sk0_25,X0)|~cong(sk0_25,sk0_25,sk0_25,X1)|cyclic(sk0_25,X0,sk0_20,X1)|~spl0_25|~spl0_94)),
% 16.97/2.58 inference(resolution,[status(thm)],[f3442,f127])).
% 16.97/2.58 fof(f3561,plain,(
% 16.97/2.58 spl0_184 <=> coll(sk0_25,sk0_25,sk0_23)),
% 16.97/2.58 introduced(split_symbol_definition)).
% 16.97/2.58 fof(f3563,plain,(
% 16.97/2.58 ~coll(sk0_25,sk0_25,sk0_23)|spl0_184),
% 16.97/2.58 inference(component_clause,[status(thm)],[f3561])).
% 16.97/2.58 fof(f3566,plain,(
% 16.97/2.58 $false|spl0_184),
% 16.97/2.58 inference(forward_subsumption_resolution,[status(thm)],[f3563,f1091])).
% 16.97/2.58 fof(f3567,plain,(
% 16.97/2.58 spl0_184),
% 16.97/2.58 inference(contradiction_clause,[status(thm)],[f3566])).
% 16.97/2.58 fof(f3620,plain,(
% 16.97/2.58 spl0_189 <=> coll(sk0_23,sk0_23,sk0_23)),
% 16.97/2.58 introduced(split_symbol_definition)).
% 16.97/2.58 fof(f3622,plain,(
% 16.97/2.58 ~coll(sk0_23,sk0_23,sk0_23)|spl0_189),
% 16.97/2.58 inference(component_clause,[status(thm)],[f3620])).
% 16.97/2.58 fof(f3625,plain,(
% 16.97/2.58 $false|spl0_189),
% 16.97/2.58 inference(forward_subsumption_resolution,[status(thm)],[f3622,f1144])).
% 16.97/2.58 fof(f3626,plain,(
% 16.97/2.58 spl0_189),
% 16.97/2.58 inference(contradiction_clause,[status(thm)],[f3625])).
% 16.97/2.58 fof(f3763,plain,(
% 16.97/2.58 spl0_196 <=> coll(sk0_25,sk0_23,sk0_25)),
% 16.97/2.58 introduced(split_symbol_definition)).
% 16.97/2.58 fof(f3765,plain,(
% 16.97/2.58 ~coll(sk0_25,sk0_23,sk0_25)|spl0_196),
% 16.97/2.58 inference(component_clause,[status(thm)],[f3763])).
% 16.97/2.58 fof(f3768,plain,(
% 16.97/2.58 $false|spl0_196),
% 16.97/2.58 inference(forward_subsumption_resolution,[status(thm)],[f3765,f1094])).
% 16.97/2.58 fof(f3769,plain,(
% 16.97/2.58 spl0_196),
% 16.97/2.58 inference(contradiction_clause,[status(thm)],[f3768])).
% 16.97/2.58 fof(f3778,plain,(
% 16.97/2.58 spl0_197 <=> coll(sk0_23,sk0_25,sk0_23)),
% 16.97/2.58 introduced(split_symbol_definition)).
% 16.97/2.58 fof(f3780,plain,(
% 16.97/2.58 ~coll(sk0_23,sk0_25,sk0_23)|spl0_197),
% 16.97/2.58 inference(component_clause,[status(thm)],[f3778])).
% 16.97/2.58 fof(f3783,plain,(
% 16.97/2.58 $false|spl0_197),
% 16.97/2.58 inference(forward_subsumption_resolution,[status(thm)],[f3780,f953])).
% 16.97/2.58 fof(f3784,plain,(
% 16.97/2.58 spl0_197),
% 16.97/2.58 inference(contradiction_clause,[status(thm)],[f3783])).
% 16.97/2.58 fof(f4124,plain,(
% 16.97/2.58 ![X0,X1]: (~midp(sk0_24,X0,X1)|para(X0,sk0_25,X1,sk0_23))),
% 16.97/2.58 inference(resolution,[status(thm)],[f249,f379])).
% 16.97/2.58 fof(f4310,plain,(
% 16.97/2.58 para(sk0_23,sk0_25,sk0_25,sk0_23)),
% 16.97/2.58 inference(resolution,[status(thm)],[f4124,f372])).
% 16.97/2.58 fof(f4358,plain,(
% 16.97/2.58 spl0_272 <=> coll(sk0_23,sk0_23,sk0_25)),
% 16.97/2.58 introduced(split_symbol_definition)).
% 16.97/2.58 fof(f4360,plain,(
% 16.97/2.58 ~coll(sk0_23,sk0_23,sk0_25)|spl0_272),
% 16.97/2.58 inference(component_clause,[status(thm)],[f4358])).
% 16.97/2.58 fof(f4363,plain,(
% 16.97/2.58 $false|spl0_272),
% 16.97/2.58 inference(forward_subsumption_resolution,[status(thm)],[f4360,f950])).
% 16.97/2.58 fof(f4364,plain,(
% 16.97/2.58 spl0_272),
% 16.97/2.58 inference(contradiction_clause,[status(thm)],[f4363])).
% 16.97/2.58 fof(f4666,plain,(
% 16.97/2.58 spl0_283 <=> para(sk0_23,sk0_25,sk0_25,sk0_23)),
% 16.97/2.58 introduced(split_symbol_definition)).
% 16.97/2.58 fof(f4668,plain,(
% 16.97/2.58 ~para(sk0_23,sk0_25,sk0_25,sk0_23)|spl0_283),
% 16.97/2.58 inference(component_clause,[status(thm)],[f4666])).
% 16.97/2.58 fof(f4675,plain,(
% 16.97/2.58 $false|spl0_283),
% 16.97/2.58 inference(forward_subsumption_resolution,[status(thm)],[f4668,f4310])).
% 16.97/2.58 fof(f4676,plain,(
% 16.97/2.58 spl0_283),
% 16.97/2.58 inference(contradiction_clause,[status(thm)],[f4675])).
% 16.97/2.58 fof(f5012,plain,(
% 16.97/2.58 spl0_295 <=> ~cyclic(sk0_23,sk0_23,sk0_20,X1)),
% 16.97/2.58 introduced(split_symbol_definition)).
% 16.97/2.58 fof(f5013,plain,(
% 16.97/2.58 ![X0]: (~cyclic(sk0_23,sk0_23,sk0_20,X0)|~spl0_295)),
% 16.97/2.58 inference(component_clause,[status(thm)],[f5012])).
% 16.97/2.58 fof(f5017,plain,(
% 16.97/2.58 ![X0]: (~coll(sk0_20,X0,sk0_23)|cyclic(sk0_23,sk0_23,sk0_20,X0))),
% 16.97/2.58 inference(resolution,[status(thm)],[f2884,f195])).
% 16.97/2.58 fof(f5018,plain,(
% 16.97/2.58 ![X0]: (coll(sk0_20,X0,sk0_23)|cyclic(sk0_23,sk0_23,sk0_20,X0))),
% 16.97/2.58 inference(resolution,[status(thm)],[f2884,f193])).
% 16.97/2.58 fof(f5019,plain,(
% 16.97/2.58 ![X0]: (cyclic(sk0_23,sk0_23,sk0_20,X0))),
% 16.97/2.58 inference(forward_subsumption_resolution,[status(thm)],[f5018,f5017])).
% 16.97/2.58 fof(f5039,plain,(
% 16.97/2.58 $false|~spl0_295),
% 16.97/2.58 inference(forward_subsumption_resolution,[status(thm)],[f5013,f5019])).
% 16.97/2.58 fof(f5040,plain,(
% 16.97/2.58 ~spl0_295),
% 16.97/2.58 inference(contradiction_clause,[status(thm)],[f5039])).
% 16.97/2.58 fof(f5211,plain,(
% 16.97/2.58 spl0_322 <=> perp(sk0_23,sk0_22,sk0_23,sk0_22)),
% 16.97/2.58 introduced(split_symbol_definition)).
% 16.97/2.58 fof(f5306,plain,(
% 16.97/2.58 spl0_341 <=> ~para(X0,X1,X0,X1)),
% 16.97/2.58 introduced(split_symbol_definition)).
% 16.97/2.58 fof(f5307,plain,(
% 16.97/2.58 ![X0,X1]: (~para(X0,X1,X0,X1)|~spl0_341)),
% 16.97/2.58 inference(component_clause,[status(thm)],[f5306])).
% 16.97/2.58 fof(f5819,plain,(
% 16.97/2.58 $false|~spl0_341),
% 16.97/2.58 inference(forward_subsumption_resolution,[status(thm)],[f5307,f2980])).
% 16.97/2.58 fof(f5820,plain,(
% 16.97/2.58 ~spl0_341),
% 16.97/2.58 inference(contradiction_clause,[status(thm)],[f5819])).
% 16.97/2.58 fof(f5830,plain,(
% 16.97/2.58 spl0_401 <=> ~perp(X0,X1,X0,X1)),
% 16.97/2.58 introduced(split_symbol_definition)).
% 16.97/2.58 fof(f5831,plain,(
% 16.97/2.58 ![X0,X1]: (~perp(X0,X1,X0,X1)|~spl0_401)),
% 16.97/2.58 inference(component_clause,[status(thm)],[f5830])).
% 16.97/2.58 fof(f6151,plain,(
% 16.97/2.58 ![X0,X1]: (~perp(X0,X1,X0,X1)|perp(sk0_23,sk0_22,sk0_23,sk0_22))),
% 16.97/2.58 inference(resolution,[status(thm)],[f274,f2732])).
% 16.97/2.58 fof(f6152,plain,(
% 16.97/2.58 spl0_401|spl0_322),
% 16.97/2.58 inference(split_clause,[status(thm)],[f6151,f5830,f5211])).
% 16.97/2.58 fof(f6329,plain,(
% 16.97/2.58 spl0_457 <=> perp(X0,X1,X0,X1)),
% 16.97/2.58 introduced(split_symbol_definition)).
% 16.97/2.58 fof(f6330,plain,(
% 16.97/2.58 ![X0,X1]: (perp(X0,X1,X0,X1)|~spl0_457)),
% 16.97/2.58 inference(component_clause,[status(thm)],[f6329])).
% 16.97/2.58 fof(f6332,plain,(
% 16.97/2.58 ![X0,X1]: (~perp(sk0_23,sk0_22,sk0_23,sk0_22)|perp(X0,X1,X0,X1))),
% 16.97/2.58 inference(resolution,[status(thm)],[f274,f2919])).
% 16.97/2.58 fof(f6333,plain,(
% 16.97/2.58 ~spl0_322|spl0_457),
% 16.97/2.58 inference(split_clause,[status(thm)],[f6332,f5211,f6329])).
% 16.97/2.58 fof(f6344,plain,(
% 16.97/2.58 $false|~spl0_401|~spl0_78),
% 16.97/2.58 inference(backward_subsumption_resolution,[status(thm)],[f1235,f5831])).
% 16.97/2.58 fof(f6345,plain,(
% 16.97/2.58 ~spl0_401|~spl0_78),
% 16.97/2.58 inference(contradiction_clause,[status(thm)],[f6344])).
% 16.97/2.58 fof(f6884,plain,(
% 16.97/2.58 ![X0,X1]: (perp(X0,X1,X1,X0)|~spl0_457)),
% 16.97/2.58 inference(resolution,[status(thm)],[f6330,f112])).
% 16.97/2.58 fof(f6909,plain,(
% 16.97/2.58 ![X0,X1,X2]: (~midp(X0,X1,X1)|cong(X1,X0,X2,X0)|~spl0_457)),
% 16.97/2.58 inference(resolution,[status(thm)],[f6884,f222])).
% 16.97/2.58 fof(f7285,plain,(
% 16.97/2.58 spl0_566 <=> coll(sk0_24,sk0_24,sk0_24)),
% 16.97/2.58 introduced(split_symbol_definition)).
% 16.97/2.58 fof(f7287,plain,(
% 16.97/2.58 ~coll(sk0_24,sk0_24,sk0_24)|spl0_566),
% 16.97/2.58 inference(component_clause,[status(thm)],[f7285])).
% 16.97/2.58 fof(f7290,plain,(
% 16.97/2.58 $false|spl0_566),
% 16.97/2.58 inference(forward_subsumption_resolution,[status(thm)],[f7287,f1129])).
% 16.97/2.58 fof(f7291,plain,(
% 16.97/2.58 spl0_566),
% 16.97/2.58 inference(contradiction_clause,[status(thm)],[f7290])).
% 16.97/2.58 fof(f7305,plain,(
% 16.97/2.58 ![X0]: (cong(sk0_25,sk0_25,X0,sk0_25)|~spl0_457|~spl0_25)),
% 16.97/2.58 inference(resolution,[status(thm)],[f6909,f512])).
% 16.97/2.58 fof(f7395,plain,(
% 16.97/2.58 ![X0]: (cong(sk0_25,sk0_25,sk0_25,X0)|~spl0_457|~spl0_25)),
% 16.97/2.58 inference(resolution,[status(thm)],[f7305,f149])).
% 16.97/2.58 fof(f7406,plain,(
% 16.97/2.58 ![X0,X1]: (~cong(sk0_25,sk0_25,sk0_25,X0)|cyclic(sk0_25,X1,sk0_20,X0)|~spl0_457|~spl0_25|~spl0_94)),
% 16.97/2.58 inference(backward_subsumption_resolution,[status(thm)],[f3532,f7395])).
% 16.97/2.58 fof(f7407,plain,(
% 16.97/2.58 ![X0,X1]: (cyclic(sk0_25,X0,sk0_20,X1)|~spl0_457|~spl0_25|~spl0_94)),
% 16.97/2.58 inference(forward_subsumption_resolution,[status(thm)],[f7406,f7395])).
% 16.97/2.58 fof(f7430,plain,(
% 16.97/2.58 ![X0]: (~cyclic(sk0_25,X0,sk0_20,X0)|~cyclic(sk0_25,X0,sk0_20,sk0_20)|cong(sk0_25,X0,sk0_25,X0)|~spl0_457|~spl0_25|~spl0_94)),
% 16.97/2.58 inference(forward_subsumption_resolution,[status(thm)],[f2842,f7407])).
% 16.97/2.58 fof(f7677,plain,(
% 16.97/2.58 ![X0,X1]: (~cong(sk0_25,sk0_25,sk0_25,X0)|cyclic(sk0_25,X0,X1,X1)|~spl0_457|~spl0_25)),
% 16.97/2.58 inference(resolution,[status(thm)],[f7395,f127])).
% 16.97/2.58 fof(f7678,plain,(
% 16.97/2.58 ![X0,X1]: (cyclic(sk0_25,X0,X1,X1)|~spl0_457|~spl0_25)),
% 16.97/2.58 inference(forward_subsumption_resolution,[status(thm)],[f7677,f7395])).
% 16.97/2.58 fof(f7692,plain,(
% 16.97/2.58 ![X0]: (~cyclic(sk0_25,X0,sk0_20,X0)|cong(sk0_25,X0,sk0_25,X0)|~spl0_457|~spl0_25|~spl0_94)),
% 16.97/2.58 inference(backward_subsumption_resolution,[status(thm)],[f7430,f7678])).
% 16.97/2.58 fof(f7693,plain,(
% 16.97/2.58 ![X0]: (cong(sk0_25,X0,sk0_25,X0)|~spl0_457|~spl0_25|~spl0_94)),
% 16.97/2.58 inference(forward_subsumption_resolution,[status(thm)],[f7692,f7407])).
% 16.97/2.58 fof(f7709,plain,(
% 16.97/2.58 ![X0,X1]: (~cong(sk0_25,X0,sk0_25,X0)|perp(sk0_25,sk0_25,X0,X1)|~spl0_457|~spl0_25|~spl0_94)),
% 16.97/2.58 inference(resolution,[status(thm)],[f7693,f232])).
% 16.97/2.58 fof(f7710,plain,(
% 16.97/2.58 ![X0,X1]: (perp(sk0_25,sk0_25,X0,X1)|~spl0_457|~spl0_25|~spl0_94)),
% 16.97/2.58 inference(forward_subsumption_resolution,[status(thm)],[f7709,f7693])).
% 16.97/2.58 fof(f7740,plain,(
% 16.97/2.58 ![X0,X1,X2,X3]: (~para(X0,X1,sk0_25,sk0_25)|perp(X0,X1,X2,X3)|~spl0_457|~spl0_25|~spl0_94)),
% 16.97/2.58 inference(resolution,[status(thm)],[f7710,f120])).
% 16.97/2.58 fof(f7741,plain,(
% 16.97/2.58 ![X0,X1,X2,X3]: (~perp(X0,X1,sk0_25,sk0_25)|para(X0,X1,X2,X3)|~spl0_457|~spl0_25|~spl0_94)),
% 16.97/2.58 inference(resolution,[status(thm)],[f7710,f117])).
% 16.97/2.58 fof(f7744,plain,(
% 16.97/2.58 ![X0,X1]: (perp(X0,X1,sk0_25,sk0_25)|~spl0_457|~spl0_25|~spl0_94)),
% 16.97/2.59 inference(resolution,[status(thm)],[f7710,f114])).
% 16.97/2.59 fof(f7748,plain,(
% 16.97/2.59 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3)|~spl0_457|~spl0_25|~spl0_94)),
% 16.97/2.59 inference(backward_subsumption_resolution,[status(thm)],[f7741,f7744])).
% 16.97/2.59 fof(f7829,plain,(
% 16.97/2.59 ![X0,X1,X2,X3]: (perp(X0,X1,X2,X3)|~spl0_457|~spl0_25|~spl0_94)),
% 16.97/2.59 inference(backward_subsumption_resolution,[status(thm)],[f7740,f7748])).
% 16.97/2.59 fof(f7942,plain,(
% 16.97/2.59 $false|~spl0_457|~spl0_25|~spl0_94),
% 16.97/2.59 inference(backward_subsumption_resolution,[status(thm)],[f376,f7829])).
% 16.97/2.59 fof(f7943,plain,(
% 16.97/2.59 ~spl0_457|~spl0_25|~spl0_94),
% 16.97/2.59 inference(contradiction_clause,[status(thm)],[f7942])).
% 16.97/2.59 fof(f7944,plain,(
% 16.97/2.59 $false),
% 16.97/2.59 inference(sat_refutation,[status(thm)],[f416,f418,f510,f569,f982,f1103,f1256,f1424,f3315,f3317,f3321,f3336,f3413,f3479,f3567,f3626,f3769,f3784,f4364,f4676,f5040,f5820,f6152,f6333,f6345,f7291,f7943])).
% 16.97/2.59 % SZS output end CNFRefutation for theBenchmark.p
% 17.63/2.61 % Elapsed time: 2.256109 seconds
% 17.63/2.61 % CPU time: 17.650769 seconds
% 17.63/2.61 % Total memory used: 175.687 MB
% 17.63/2.61 % Net memory used: 158.543 MB
%------------------------------------------------------------------------------