TSTP Solution File: GEO619+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO619+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.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 20:18:26 EDT 2024
% Result : Theorem 5.06s 1.06s
% Output : CNFRefutation 5.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO619+1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n006.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 01:35:20 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.6.0
% 5.06/1.06 % Refutation found
% 5.06/1.06 % SZS status Theorem for theBenchmark: Theorem is valid
% 5.06/1.06 % SZS output start CNFRefutation for theBenchmark
% 5.06/1.06 fof(f1,axiom,(
% 5.06/1.06 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 5.06/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.06/1.06 fof(f2,axiom,(
% 5.06/1.06 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 5.06/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.06/1.06 fof(f3,axiom,(
% 5.06/1.06 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 5.06/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.06/1.06 fof(f4,axiom,(
% 5.06/1.06 (! [A,B,C,D] :( para(A,B,C,D)=> para(A,B,D,C) ) )),
% 5.06/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.06/1.06 fof(f7,axiom,(
% 5.06/1.06 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(A,B,D,C) ) )),
% 5.06/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.06/1.06 fof(f8,axiom,(
% 5.06/1.06 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 5.06/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.06/1.06 fof(f9,axiom,(
% 5.06/1.06 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 5.06/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.06/1.06 fof(f10,axiom,(
% 5.06/1.06 (! [A,B,C,D,E,F] :( ( para(A,B,C,D)& perp(C,D,E,F) )=> perp(A,B,E,F) ) )),
% 5.06/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.06/1.06 fof(f11,axiom,(
% 5.06/1.06 (! [A,B,M] :( midp(M,B,A)=> midp(M,A,B) ) )),
% 5.06/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.06/1.06 fof(f12,axiom,(
% 5.06/1.06 (! [A,B,C,O] :( ( cong(O,A,O,B)& cong(O,A,O,C) )=> circle(O,A,B,C) ) )),
% 5.06/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.06/1.06 fof(f13,axiom,(
% 5.06/1.06 (! [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) ) )),
% 5.06/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.06/1.06 fof(f20,axiom,(
% 5.06/1.06 (! [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) ) )),
% 5.06/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.06/1.06 fof(f21,axiom,(
% 5.06/1.06 (! [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) ) )),
% 5.06/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.06/1.06 fof(f23,axiom,(
% 5.06/1.06 (! [A,B,C,D] :( cong(A,B,C,D)=> cong(A,B,D,C) ) )),
% 5.06/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.06/1.06 fof(f40,axiom,(
% 5.06/1.06 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 5.06/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.06/1.06 fof(f44,axiom,(
% 5.06/1.06 (! [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) ) )),
% 5.06/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.06/1.06 fof(f52,axiom,(
% 5.06/1.06 (! [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) ) )),
% 5.06/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.06/1.06 fof(f53,axiom,(
% 5.06/1.06 (! [A,B,C,M] :( ( perp(A,B,B,C)& midp(M,A,C) )=> cong(A,M,B,M) ) )),
% 5.06/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.06/1.06 fof(f54,axiom,(
% 5.06/1.06 (! [A,B,C,O] :( ( circle(O,A,B,C)& coll(O,A,C) )=> perp(A,B,B,C) ) )),
% 5.06/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.06/1.06 fof(f56,axiom,(
% 5.06/1.06 (! [A,B,M,O] :( ( midp(M,A,B)& perp(O,M,A,B) )=> cong(O,A,O,B) ) )),
% 5.06/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.06/1.06 fof(f57,axiom,(
% 5.06/1.06 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 5.06/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.06/1.06 fof(f65,axiom,(
% 5.06/1.06 (! [A,B,C,D,M] :( ( midp(M,A,B)& para(A,C,B,D)& para(A,D,B,C) )=> midp(M,C,D) ) )),
% 5.06/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.06/1.06 fof(f67,axiom,(
% 5.06/1.06 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 5.06/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.06/1.06 fof(f69,axiom,(
% 5.06/1.06 (! [A,B,C] :( midp(A,B,C)=> cong(A,B,A,C) ) )),
% 5.06/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.06/1.06 fof(f70,axiom,(
% 5.06/1.06 (! [A,B,C] :( midp(A,B,C)=> coll(A,B,C) ) )),
% 5.06/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.06/1.06 fof(f75,axiom,(
% 5.06/1.06 (! [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) ) )),
% 5.06/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.06/1.06 fof(f95,conjecture,(
% 5.06/1.06 (! [A,B,C,D,E,F,G,H,NWPNT1,NWPNT2,NWPNT3,NWPNT4] :( ( perp(C,A,C,B)& cong(A,C,B,C)& coll(D,A,B)& eqangle(E,C,C,A,A,C,C,D)& coll(E,A,B)& midp(F,D,E)& circle(F,E,NWPNT1,NWPNT2)& coll(G,C,E)& circle(F,E,G,NWPNT3)& coll(H,C,D)& circle(F,E,H,NWPNT4) )=> cong(D,G,D,H) ) )),
% 5.60/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.60/1.06 fof(f96,negated_conjecture,(
% 5.60/1.06 ~((! [A,B,C,D,E,F,G,H,NWPNT1,NWPNT2,NWPNT3,NWPNT4] :( ( perp(C,A,C,B)& cong(A,C,B,C)& coll(D,A,B)& eqangle(E,C,C,A,A,C,C,D)& coll(E,A,B)& midp(F,D,E)& circle(F,E,NWPNT1,NWPNT2)& coll(G,C,E)& circle(F,E,G,NWPNT3)& coll(H,C,D)& circle(F,E,H,NWPNT4) )=> cong(D,G,D,H) ) ))),
% 5.60/1.06 inference(negated_conjecture,[status(cth)],[f95])).
% 5.60/1.06 fof(f97,plain,(
% 5.60/1.06 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 5.60/1.06 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 5.60/1.06 fof(f98,plain,(
% 5.60/1.06 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 5.60/1.06 inference(cnf_transformation,[status(esa)],[f97])).
% 5.60/1.06 fof(f99,plain,(
% 5.60/1.06 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 5.60/1.06 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 5.60/1.06 fof(f100,plain,(
% 5.60/1.06 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 5.60/1.06 inference(cnf_transformation,[status(esa)],[f99])).
% 5.60/1.06 fof(f101,plain,(
% 5.60/1.06 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 5.60/1.06 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 5.60/1.06 fof(f102,plain,(
% 5.60/1.06 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 5.60/1.06 inference(miniscoping,[status(esa)],[f101])).
% 5.60/1.06 fof(f103,plain,(
% 5.60/1.06 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 5.60/1.06 inference(cnf_transformation,[status(esa)],[f102])).
% 5.60/1.06 fof(f104,plain,(
% 5.60/1.06 ![A,B,C,D]: (~para(A,B,C,D)|para(A,B,D,C))),
% 5.60/1.06 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 5.60/1.06 fof(f105,plain,(
% 5.60/1.06 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X0,X1,X3,X2))),
% 5.60/1.06 inference(cnf_transformation,[status(esa)],[f104])).
% 5.60/1.06 fof(f111,plain,(
% 5.60/1.06 ![A,B,C,D]: (~perp(A,B,C,D)|perp(A,B,D,C))),
% 5.60/1.06 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 5.60/1.06 fof(f112,plain,(
% 5.60/1.06 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X0,X1,X3,X2))),
% 5.60/1.06 inference(cnf_transformation,[status(esa)],[f111])).
% 5.60/1.06 fof(f113,plain,(
% 5.60/1.06 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 5.60/1.06 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 5.60/1.06 fof(f114,plain,(
% 5.60/1.06 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 5.60/1.06 inference(cnf_transformation,[status(esa)],[f113])).
% 5.60/1.06 fof(f115,plain,(
% 5.60/1.06 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 5.60/1.06 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 5.60/1.06 fof(f116,plain,(
% 5.60/1.06 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 5.60/1.06 inference(miniscoping,[status(esa)],[f115])).
% 5.60/1.06 fof(f117,plain,(
% 5.60/1.06 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 5.60/1.06 inference(cnf_transformation,[status(esa)],[f116])).
% 5.60/1.06 fof(f118,plain,(
% 5.60/1.06 ![A,B,C,D,E,F]: ((~para(A,B,C,D)|~perp(C,D,E,F))|perp(A,B,E,F))),
% 5.60/1.06 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 5.60/1.06 fof(f119,plain,(
% 5.60/1.06 ![A,B,E,F]: ((![C,D]: (~para(A,B,C,D)|~perp(C,D,E,F)))|perp(A,B,E,F))),
% 5.60/1.06 inference(miniscoping,[status(esa)],[f118])).
% 5.60/1.06 fof(f120,plain,(
% 5.60/1.06 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|perp(X0,X1,X4,X5))),
% 5.60/1.06 inference(cnf_transformation,[status(esa)],[f119])).
% 5.60/1.06 fof(f121,plain,(
% 5.60/1.06 ![A,B,M]: (~midp(M,B,A)|midp(M,A,B))),
% 5.60/1.06 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 5.60/1.06 fof(f122,plain,(
% 5.60/1.06 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X0,X2,X1))),
% 5.60/1.06 inference(cnf_transformation,[status(esa)],[f121])).
% 5.60/1.06 fof(f123,plain,(
% 5.60/1.06 ![A,B,C,O]: ((~cong(O,A,O,B)|~cong(O,A,O,C))|circle(O,A,B,C))),
% 5.60/1.06 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 5.60/1.06 fof(f124,plain,(
% 5.60/1.06 ![X0,X1,X2,X3]: (~cong(X0,X1,X0,X2)|~cong(X0,X1,X0,X3)|circle(X0,X1,X2,X3))),
% 5.60/1.06 inference(cnf_transformation,[status(esa)],[f123])).
% 5.60/1.06 fof(f125,plain,(
% 5.60/1.06 ![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))),
% 5.60/1.06 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 5.60/1.06 fof(f126,plain,(
% 5.60/1.06 ![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))),
% 5.60/1.06 inference(miniscoping,[status(esa)],[f125])).
% 5.60/1.06 fof(f127,plain,(
% 5.60/1.06 ![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))),
% 5.60/1.06 inference(cnf_transformation,[status(esa)],[f126])).
% 5.60/1.07 fof(f141,plain,(
% 5.60/1.07 ![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))),
% 5.60/1.07 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 5.60/1.07 fof(f142,plain,(
% 5.60/1.07 ![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))),
% 5.60/1.07 inference(cnf_transformation,[status(esa)],[f141])).
% 5.60/1.07 fof(f143,plain,(
% 5.60/1.07 ![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))),
% 5.60/1.07 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 5.60/1.07 fof(f144,plain,(
% 5.60/1.07 ![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))),
% 5.60/1.07 inference(cnf_transformation,[status(esa)],[f143])).
% 5.60/1.07 fof(f148,plain,(
% 5.60/1.07 ![A,B,C,D]: (~cong(A,B,C,D)|cong(A,B,D,C))),
% 5.60/1.07 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 5.60/1.07 fof(f149,plain,(
% 5.60/1.07 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X3)|cong(X0,X1,X3,X2))),
% 5.60/1.07 inference(cnf_transformation,[status(esa)],[f148])).
% 5.60/1.07 fof(f187,plain,(
% 5.60/1.07 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 5.60/1.07 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 5.60/1.07 fof(f188,plain,(
% 5.60/1.07 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 5.60/1.07 inference(miniscoping,[status(esa)],[f187])).
% 5.60/1.07 fof(f189,plain,(
% 5.60/1.07 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 5.60/1.07 inference(cnf_transformation,[status(esa)],[f188])).
% 5.60/1.07 fof(f196,plain,(
% 5.60/1.07 ![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))),
% 5.60/1.07 inference(pre_NNF_transformation,[status(esa)],[f44])).
% 5.60/1.07 fof(f197,plain,(
% 5.60/1.07 ![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))),
% 5.60/1.07 inference(miniscoping,[status(esa)],[f196])).
% 5.60/1.07 fof(f198,plain,(
% 5.60/1.07 ![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))),
% 5.60/1.07 inference(cnf_transformation,[status(esa)],[f197])).
% 5.60/1.07 fof(f217,plain,(
% 5.60/1.07 ![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))),
% 5.60/1.07 inference(pre_NNF_transformation,[status(esa)],[f52])).
% 5.60/1.07 fof(f218,plain,(
% 5.60/1.07 ![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))),
% 5.60/1.07 inference(miniscoping,[status(esa)],[f217])).
% 5.60/1.07 fof(f219,plain,(
% 5.60/1.07 ![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))),
% 5.60/1.07 inference(cnf_transformation,[status(esa)],[f218])).
% 5.60/1.07 fof(f220,plain,(
% 5.60/1.07 ![A,B,C,M]: ((~perp(A,B,B,C)|~midp(M,A,C))|cong(A,M,B,M))),
% 5.60/1.07 inference(pre_NNF_transformation,[status(esa)],[f53])).
% 5.60/1.07 fof(f221,plain,(
% 5.60/1.07 ![A,B,M]: ((![C]: (~perp(A,B,B,C)|~midp(M,A,C)))|cong(A,M,B,M))),
% 5.60/1.07 inference(miniscoping,[status(esa)],[f220])).
% 5.60/1.07 fof(f222,plain,(
% 5.60/1.07 ![X0,X1,X2,X3]: (~perp(X0,X1,X1,X2)|~midp(X3,X0,X2)|cong(X0,X3,X1,X3))),
% 5.60/1.07 inference(cnf_transformation,[status(esa)],[f221])).
% 5.60/1.07 fof(f223,plain,(
% 5.60/1.07 ![A,B,C,O]: ((~circle(O,A,B,C)|~coll(O,A,C))|perp(A,B,B,C))),
% 5.60/1.07 inference(pre_NNF_transformation,[status(esa)],[f54])).
% 5.60/1.07 fof(f224,plain,(
% 5.60/1.07 ![A,B,C]: ((![O]: (~circle(O,A,B,C)|~coll(O,A,C)))|perp(A,B,B,C))),
% 5.60/1.07 inference(miniscoping,[status(esa)],[f223])).
% 5.60/1.07 fof(f225,plain,(
% 5.60/1.07 ![X0,X1,X2,X3]: (~circle(X0,X1,X2,X3)|~coll(X0,X1,X3)|perp(X1,X2,X2,X3))),
% 5.60/1.07 inference(cnf_transformation,[status(esa)],[f224])).
% 5.60/1.07 fof(f228,plain,(
% 5.60/1.07 ![A,B,M,O]: ((~midp(M,A,B)|~perp(O,M,A,B))|cong(O,A,O,B))),
% 5.60/1.07 inference(pre_NNF_transformation,[status(esa)],[f56])).
% 5.60/1.07 fof(f229,plain,(
% 5.60/1.07 ![A,B,O]: ((![M]: (~midp(M,A,B)|~perp(O,M,A,B)))|cong(O,A,O,B))),
% 5.60/1.07 inference(miniscoping,[status(esa)],[f228])).
% 5.60/1.07 fof(f230,plain,(
% 5.60/1.07 ![X0,X1,X2,X3]: (~midp(X0,X1,X2)|~perp(X3,X0,X1,X2)|cong(X3,X1,X3,X2))),
% 5.60/1.07 inference(cnf_transformation,[status(esa)],[f229])).
% 5.60/1.07 fof(f231,plain,(
% 5.60/1.07 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 5.60/1.07 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 5.60/1.07 fof(f232,plain,(
% 5.60/1.07 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 5.60/1.07 inference(cnf_transformation,[status(esa)],[f231])).
% 5.60/1.07 fof(f250,plain,(
% 5.60/1.07 ![A,B,C,D,M]: (((~midp(M,A,B)|~para(A,C,B,D))|~para(A,D,B,C))|midp(M,C,D))),
% 5.60/1.07 inference(pre_NNF_transformation,[status(esa)],[f65])).
% 5.60/1.07 fof(f251,plain,(
% 5.60/1.07 ![C,D,M]: ((![A,B]: ((~midp(M,A,B)|~para(A,C,B,D))|~para(A,D,B,C)))|midp(M,C,D))),
% 5.60/1.07 inference(miniscoping,[status(esa)],[f250])).
% 5.60/1.07 fof(f252,plain,(
% 5.60/1.07 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X1,X3,X2,X4)|~para(X1,X4,X2,X3)|midp(X0,X3,X4))),
% 5.60/1.07 inference(cnf_transformation,[status(esa)],[f251])).
% 5.60/1.07 fof(f255,plain,(
% 5.60/1.07 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 5.60/1.07 inference(pre_NNF_transformation,[status(esa)],[f67])).
% 5.60/1.07 fof(f256,plain,(
% 5.60/1.07 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 5.60/1.07 inference(cnf_transformation,[status(esa)],[f255])).
% 5.60/1.07 fof(f259,plain,(
% 5.60/1.07 ![A,B,C]: (~midp(A,B,C)|cong(A,B,A,C))),
% 5.60/1.07 inference(pre_NNF_transformation,[status(esa)],[f69])).
% 5.60/1.07 fof(f260,plain,(
% 5.60/1.07 ![X0,X1,X2]: (~midp(X0,X1,X2)|cong(X0,X1,X0,X2))),
% 5.60/1.07 inference(cnf_transformation,[status(esa)],[f259])).
% 5.60/1.07 fof(f261,plain,(
% 5.60/1.07 ![A,B,C]: (~midp(A,B,C)|coll(A,B,C))),
% 5.60/1.07 inference(pre_NNF_transformation,[status(esa)],[f70])).
% 5.60/1.07 fof(f262,plain,(
% 5.60/1.07 ![X0,X1,X2]: (~midp(X0,X1,X2)|coll(X0,X1,X2))),
% 5.60/1.07 inference(cnf_transformation,[status(esa)],[f261])).
% 5.60/1.07 fof(f272,plain,(
% 5.60/1.07 ![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))),
% 5.60/1.07 inference(pre_NNF_transformation,[status(esa)],[f75])).
% 5.60/1.07 fof(f273,plain,(
% 5.60/1.07 ![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))),
% 5.60/1.07 inference(miniscoping,[status(esa)],[f272])).
% 5.60/1.07 fof(f274,plain,(
% 5.60/1.07 ![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))),
% 5.60/1.07 inference(cnf_transformation,[status(esa)],[f273])).
% 5.60/1.07 fof(f369,plain,(
% 5.60/1.07 (?[A,B,C,D,E,F,G,H,NWPNT1,NWPNT2,NWPNT3,NWPNT4]: (((((((((((perp(C,A,C,B)&cong(A,C,B,C))&coll(D,A,B))&eqangle(E,C,C,A,A,C,C,D))&coll(E,A,B))&midp(F,D,E))&circle(F,E,NWPNT1,NWPNT2))&coll(G,C,E))&circle(F,E,G,NWPNT3))&coll(H,C,D))&circle(F,E,H,NWPNT4))&~cong(D,G,D,H)))),
% 5.60/1.07 inference(pre_NNF_transformation,[status(esa)],[f96])).
% 5.60/1.07 fof(f370,plain,(
% 5.60/1.07 ?[D,G,H]: ((?[E,F]: ((?[C]: ((((((?[A,B]: ((((perp(C,A,C,B)&cong(A,C,B,C))&coll(D,A,B))&eqangle(E,C,C,A,A,C,C,D))&coll(E,A,B)))&midp(F,D,E))&(?[NWPNT1,NWPNT2]: circle(F,E,NWPNT1,NWPNT2)))&coll(G,C,E))&(?[NWPNT3]: circle(F,E,G,NWPNT3)))&coll(H,C,D)))&(?[NWPNT4]: circle(F,E,H,NWPNT4))))&~cong(D,G,D,H))),
% 5.60/1.07 inference(miniscoping,[status(esa)],[f369])).
% 5.60/1.07 fof(f371,plain,(
% 5.60/1.07 (((((((((((perp(sk0_25,sk0_26,sk0_25,sk0_27)&cong(sk0_26,sk0_25,sk0_27,sk0_25))&coll(sk0_20,sk0_26,sk0_27))&eqangle(sk0_23,sk0_25,sk0_25,sk0_26,sk0_26,sk0_25,sk0_25,sk0_20))&coll(sk0_23,sk0_26,sk0_27))&midp(sk0_24,sk0_20,sk0_23))&circle(sk0_24,sk0_23,sk0_28,sk0_29))&coll(sk0_21,sk0_25,sk0_23))&circle(sk0_24,sk0_23,sk0_21,sk0_30))&coll(sk0_22,sk0_25,sk0_20))&circle(sk0_24,sk0_23,sk0_22,sk0_31))&~cong(sk0_20,sk0_21,sk0_20,sk0_22))),
% 5.60/1.07 inference(skolemization,[status(esa)],[f370])).
% 5.60/1.07 fof(f377,plain,(
% 5.60/1.07 midp(sk0_24,sk0_20,sk0_23)),
% 5.60/1.07 inference(cnf_transformation,[status(esa)],[f371])).
% 5.60/1.07 fof(f379,plain,(
% 5.60/1.07 coll(sk0_21,sk0_25,sk0_23)),
% 5.60/1.07 inference(cnf_transformation,[status(esa)],[f371])).
% 5.60/1.07 fof(f381,plain,(
% 5.60/1.07 coll(sk0_22,sk0_25,sk0_20)),
% 5.60/1.07 inference(cnf_transformation,[status(esa)],[f371])).
% 5.60/1.07 fof(f383,plain,(
% 5.60/1.07 ~cong(sk0_20,sk0_21,sk0_20,sk0_22)),
% 5.60/1.07 inference(cnf_transformation,[status(esa)],[f371])).
% 5.60/1.07 fof(f395,plain,(
% 5.60/1.07 coll(sk0_25,sk0_21,sk0_23)),
% 5.60/1.07 inference(resolution,[status(thm)],[f100,f379])).
% 5.60/1.07 fof(f408,plain,(
% 5.60/1.07 ![X0]: (~coll(sk0_25,sk0_21,X0)|coll(X0,sk0_23,sk0_25))),
% 5.60/1.07 inference(resolution,[status(thm)],[f103,f395])).
% 5.60/1.07 fof(f411,plain,(
% 5.60/1.07 ![X0]: (~coll(sk0_22,sk0_25,X0)|coll(X0,sk0_20,sk0_22))),
% 5.60/1.07 inference(resolution,[status(thm)],[f103,f381])).
% 5.60/1.07 fof(f457,plain,(
% 5.60/1.07 midp(sk0_24,sk0_23,sk0_20)),
% 5.60/1.07 inference(resolution,[status(thm)],[f122,f377])).
% 5.60/1.07 fof(f459,plain,(
% 5.60/1.07 coll(sk0_24,sk0_23,sk0_20)),
% 5.60/1.07 inference(resolution,[status(thm)],[f262,f457])).
% 5.60/1.07 fof(f460,plain,(
% 5.60/1.07 coll(sk0_24,sk0_20,sk0_23)),
% 5.60/1.07 inference(resolution,[status(thm)],[f262,f377])).
% 5.60/1.07 fof(f462,plain,(
% 5.60/1.07 coll(sk0_23,sk0_24,sk0_20)),
% 5.60/1.07 inference(resolution,[status(thm)],[f459,f100])).
% 5.60/1.07 fof(f464,plain,(
% 5.60/1.07 ![X0]: (~coll(sk0_24,sk0_20,X0)|coll(X0,sk0_23,sk0_24))),
% 5.60/1.07 inference(resolution,[status(thm)],[f460,f103])).
% 5.60/1.07 fof(f467,plain,(
% 5.60/1.07 ![X0]: (~coll(sk0_23,sk0_24,X0)|coll(X0,sk0_20,sk0_23))),
% 5.60/1.07 inference(resolution,[status(thm)],[f462,f103])).
% 5.60/1.07 fof(f480,plain,(
% 5.60/1.07 coll(sk0_23,sk0_23,sk0_25)),
% 5.60/1.07 inference(resolution,[status(thm)],[f408,f395])).
% 5.60/1.07 fof(f483,plain,(
% 5.60/1.07 coll(sk0_23,sk0_25,sk0_23)),
% 5.60/1.07 inference(resolution,[status(thm)],[f480,f98])).
% 5.60/1.07 fof(f484,plain,(
% 5.60/1.07 ![X0]: (~coll(sk0_23,sk0_25,X0)|coll(X0,sk0_23,sk0_23))),
% 5.60/1.07 inference(resolution,[status(thm)],[f483,f103])).
% 5.60/1.07 fof(f490,plain,(
% 5.60/1.07 coll(sk0_20,sk0_20,sk0_22)),
% 5.60/1.07 inference(resolution,[status(thm)],[f411,f381])).
% 5.60/1.07 fof(f493,plain,(
% 5.60/1.07 coll(sk0_20,sk0_22,sk0_20)),
% 5.60/1.07 inference(resolution,[status(thm)],[f490,f98])).
% 5.60/1.07 fof(f494,plain,(
% 5.60/1.07 ![X0]: (~coll(sk0_20,sk0_22,X0)|coll(X0,sk0_20,sk0_20))),
% 5.60/1.07 inference(resolution,[status(thm)],[f493,f103])).
% 5.60/1.07 fof(f610,plain,(
% 5.60/1.07 cong(sk0_24,sk0_23,sk0_24,sk0_20)),
% 5.60/1.07 inference(resolution,[status(thm)],[f260,f457])).
% 5.60/1.07 fof(f611,plain,(
% 5.60/1.07 cong(sk0_24,sk0_20,sk0_24,sk0_23)),
% 5.60/1.07 inference(resolution,[status(thm)],[f260,f377])).
% 5.60/1.07 fof(f612,plain,(
% 5.60/1.07 ![X0]: (~cong(sk0_24,sk0_23,sk0_24,X0)|circle(sk0_24,sk0_23,X0,sk0_20))),
% 5.60/1.07 inference(resolution,[status(thm)],[f610,f124])).
% 5.60/1.07 fof(f613,plain,(
% 5.60/1.07 ![X0]: (~cong(sk0_24,sk0_20,sk0_24,X0)|circle(sk0_24,sk0_20,X0,sk0_23))),
% 5.60/1.07 inference(resolution,[status(thm)],[f611,f124])).
% 5.60/1.07 fof(f736,plain,(
% 5.60/1.07 coll(sk0_23,sk0_23,sk0_24)),
% 5.60/1.07 inference(resolution,[status(thm)],[f464,f460])).
% 5.60/1.07 fof(f737,plain,(
% 5.60/1.07 circle(sk0_24,sk0_20,sk0_23,sk0_23)),
% 5.60/1.07 inference(resolution,[status(thm)],[f613,f611])).
% 5.60/1.07 fof(f745,plain,(
% 5.60/1.07 coll(sk0_23,sk0_24,sk0_23)),
% 5.60/1.07 inference(resolution,[status(thm)],[f736,f98])).
% 5.60/1.07 fof(f915,plain,(
% 5.60/1.07 coll(sk0_23,sk0_20,sk0_23)),
% 5.60/1.07 inference(resolution,[status(thm)],[f467,f745])).
% 5.60/1.07 fof(f918,plain,(
% 5.60/1.07 coll(sk0_20,sk0_23,sk0_23)),
% 5.60/1.07 inference(resolution,[status(thm)],[f915,f100])).
% 5.60/1.07 fof(f2005,plain,(
% 5.60/1.07 spl0_0 <=> coll(sk0_24,sk0_20,sk0_23)),
% 5.60/1.07 introduced(split_symbol_definition)).
% 5.60/1.07 fof(f2007,plain,(
% 5.60/1.07 ~coll(sk0_24,sk0_20,sk0_23)|spl0_0),
% 5.60/1.07 inference(component_clause,[status(thm)],[f2005])).
% 5.60/1.07 fof(f2008,plain,(
% 5.60/1.07 spl0_1 <=> perp(sk0_20,sk0_23,sk0_23,sk0_23)),
% 5.60/1.07 introduced(split_symbol_definition)).
% 5.60/1.07 fof(f2009,plain,(
% 5.60/1.07 perp(sk0_20,sk0_23,sk0_23,sk0_23)|~spl0_1),
% 5.60/1.07 inference(component_clause,[status(thm)],[f2008])).
% 5.60/1.07 fof(f2011,plain,(
% 5.60/1.07 ~coll(sk0_24,sk0_20,sk0_23)|perp(sk0_20,sk0_23,sk0_23,sk0_23)),
% 5.60/1.07 inference(resolution,[status(thm)],[f225,f737])).
% 5.60/1.07 fof(f2012,plain,(
% 5.60/1.07 ~spl0_0|spl0_1),
% 5.60/1.07 inference(split_clause,[status(thm)],[f2011,f2005,f2008])).
% 5.60/1.07 fof(f2037,plain,(
% 5.60/1.07 $false|spl0_0),
% 5.60/1.07 inference(forward_subsumption_resolution,[status(thm)],[f2007,f460])).
% 5.60/1.07 fof(f2038,plain,(
% 5.60/1.07 spl0_0),
% 5.60/1.07 inference(contradiction_clause,[status(thm)],[f2037])).
% 5.60/1.07 fof(f2056,plain,(
% 5.60/1.07 coll(sk0_23,sk0_23,sk0_23)),
% 5.60/1.07 inference(resolution,[status(thm)],[f484,f483])).
% 5.60/1.07 fof(f2092,plain,(
% 5.60/1.07 coll(sk0_20,sk0_20,sk0_20)),
% 5.60/1.07 inference(resolution,[status(thm)],[f494,f493])).
% 5.60/1.07 fof(f2118,plain,(
% 5.60/1.07 ![X0,X1]: (~perp(X0,X1,sk0_20,sk0_23)|para(X0,X1,sk0_23,sk0_23)|~spl0_1)),
% 5.60/1.07 inference(resolution,[status(thm)],[f2009,f117])).
% 5.60/1.07 fof(f2119,plain,(
% 5.60/1.07 perp(sk0_23,sk0_23,sk0_20,sk0_23)|~spl0_1),
% 5.60/1.07 inference(resolution,[status(thm)],[f2009,f114])).
% 5.60/1.07 fof(f2122,plain,(
% 5.60/1.07 ![X0,X1]: (~perp(X0,X1,sk0_23,sk0_23)|para(X0,X1,sk0_20,sk0_23)|~spl0_1)),
% 5.60/1.07 inference(resolution,[status(thm)],[f2119,f117])).
% 5.60/1.07 fof(f2124,plain,(
% 5.60/1.07 perp(sk0_23,sk0_23,sk0_23,sk0_20)|~spl0_1),
% 5.60/1.07 inference(resolution,[status(thm)],[f2119,f112])).
% 5.60/1.07 fof(f2129,plain,(
% 5.60/1.07 perp(sk0_23,sk0_20,sk0_23,sk0_23)|~spl0_1),
% 5.60/1.07 inference(resolution,[status(thm)],[f2124,f114])).
% 5.60/1.07 fof(f2136,plain,(
% 5.60/1.07 para(sk0_23,sk0_23,sk0_23,sk0_23)|~spl0_1),
% 5.60/1.07 inference(resolution,[status(thm)],[f2118,f2119])).
% 5.60/1.07 fof(f2140,plain,(
% 5.60/1.07 para(sk0_23,sk0_20,sk0_20,sk0_23)|~spl0_1),
% 5.60/1.07 inference(resolution,[status(thm)],[f2122,f2129])).
% 5.60/1.07 fof(f2141,plain,(
% 5.60/1.07 para(sk0_20,sk0_23,sk0_20,sk0_23)|~spl0_1),
% 5.60/1.07 inference(resolution,[status(thm)],[f2122,f2009])).
% 5.60/1.07 fof(f2145,plain,(
% 5.60/1.07 para(sk0_23,sk0_20,sk0_23,sk0_20)|~spl0_1),
% 5.60/1.07 inference(resolution,[status(thm)],[f2140,f105])).
% 5.60/1.07 fof(f2351,plain,(
% 5.60/1.07 spl0_15 <=> midp(sk0_23,sk0_23,sk0_23)),
% 5.60/1.07 introduced(split_symbol_definition)).
% 5.60/1.07 fof(f2352,plain,(
% 5.60/1.07 midp(sk0_23,sk0_23,sk0_23)|~spl0_15),
% 5.60/1.07 inference(component_clause,[status(thm)],[f2351])).
% 5.60/1.07 fof(f2354,plain,(
% 5.60/1.07 spl0_16 <=> cong(sk0_20,sk0_23,sk0_20,sk0_23)),
% 5.60/1.07 introduced(split_symbol_definition)).
% 5.60/1.07 fof(f2355,plain,(
% 5.60/1.07 cong(sk0_20,sk0_23,sk0_20,sk0_23)|~spl0_16),
% 5.60/1.07 inference(component_clause,[status(thm)],[f2354])).
% 5.60/1.07 fof(f2357,plain,(
% 5.60/1.07 ~midp(sk0_23,sk0_23,sk0_23)|cong(sk0_20,sk0_23,sk0_20,sk0_23)|~spl0_1),
% 5.60/1.07 inference(resolution,[status(thm)],[f230,f2009])).
% 5.60/1.07 fof(f2358,plain,(
% 5.60/1.07 ~spl0_15|spl0_16|~spl0_1),
% 5.60/1.07 inference(split_clause,[status(thm)],[f2357,f2351,f2354,f2008])).
% 5.60/1.07 fof(f2510,plain,(
% 5.60/1.07 ![X0,X1]: (eqangle(sk0_20,sk0_23,X0,X1,sk0_20,sk0_23,X0,X1)|~spl0_1)),
% 5.60/1.07 inference(resolution,[status(thm)],[f189,f2141])).
% 5.60/1.07 fof(f2511,plain,(
% 5.60/1.07 ![X0,X1]: (eqangle(sk0_23,sk0_20,X0,X1,sk0_23,sk0_20,X0,X1)|~spl0_1)),
% 5.60/1.07 inference(resolution,[status(thm)],[f189,f2145])).
% 5.60/1.07 fof(f2513,plain,(
% 5.60/1.07 ![X0,X1]: (eqangle(sk0_23,sk0_23,X0,X1,sk0_23,sk0_23,X0,X1)|~spl0_1)),
% 5.60/1.07 inference(resolution,[status(thm)],[f189,f2136])).
% 5.60/1.07 fof(f2522,plain,(
% 5.60/1.07 ![X0]: (~circle(sk0_20,sk0_20,sk0_23,X0)|~coll(X0,sk0_23,X0)|midp(X0,sk0_23,X0)|~spl0_1)),
% 5.60/1.07 inference(resolution,[status(thm)],[f2510,f219])).
% 5.60/1.07 fof(f2523,plain,(
% 5.60/1.07 ![X0,X1]: (eqangle(sk0_20,sk0_23,sk0_20,sk0_23,X0,X1,X0,X1)|~spl0_1)),
% 5.60/1.07 inference(resolution,[status(thm)],[f2510,f144])).
% 5.60/1.07 fof(f2529,plain,(
% 5.60/1.07 ![X0,X1]: (eqangle(sk0_23,sk0_20,sk0_23,sk0_20,X0,X1,X0,X1)|~spl0_1)),
% 5.60/1.07 inference(resolution,[status(thm)],[f2511,f144])).
% 5.60/1.07 fof(f2542,plain,(
% 5.60/1.07 spl0_33 <=> coll(sk0_23,sk0_23,sk0_23)),
% 5.60/1.07 introduced(split_symbol_definition)).
% 5.60/1.07 fof(f2544,plain,(
% 5.60/1.07 ~coll(sk0_23,sk0_23,sk0_23)|spl0_33),
% 5.60/1.07 inference(component_clause,[status(thm)],[f2542])).
% 5.60/1.07 fof(f2571,plain,(
% 5.60/1.07 spl0_34 <=> ~circle(X0,sk0_20,sk0_23,sk0_23)),
% 5.60/1.07 introduced(split_symbol_definition)).
% 5.60/1.07 fof(f2572,plain,(
% 5.60/1.07 ![X0]: (~circle(X0,sk0_20,sk0_23,sk0_23)|~spl0_34)),
% 5.60/1.07 inference(component_clause,[status(thm)],[f2571])).
% 5.60/1.07 fof(f2574,plain,(
% 5.60/1.07 ![X0]: (~circle(X0,sk0_20,sk0_23,sk0_23)|~coll(sk0_23,sk0_23,sk0_23)|midp(sk0_23,sk0_23,sk0_23)|~spl0_1)),
% 5.60/1.07 inference(resolution,[status(thm)],[f2523,f219])).
% 5.60/1.07 fof(f2575,plain,(
% 5.60/1.07 spl0_34|~spl0_33|spl0_15|~spl0_1),
% 5.60/1.07 inference(split_clause,[status(thm)],[f2574,f2571,f2542,f2351,f2008])).
% 5.60/1.07 fof(f2578,plain,(
% 5.60/1.07 ![X0,X1]: (eqangle(X0,X1,X0,X1,sk0_20,sk0_23,sk0_20,sk0_23)|~spl0_1)),
% 5.60/1.07 inference(resolution,[status(thm)],[f2523,f142])).
% 5.60/1.07 fof(f2581,plain,(
% 5.60/1.07 $false|~spl0_34),
% 5.60/1.07 inference(backward_subsumption_resolution,[status(thm)],[f737,f2572])).
% 5.60/1.07 fof(f2582,plain,(
% 5.60/1.07 ~spl0_34),
% 5.60/1.07 inference(contradiction_clause,[status(thm)],[f2581])).
% 5.60/1.07 fof(f2583,plain,(
% 5.60/1.07 $false|spl0_33),
% 5.60/1.07 inference(forward_subsumption_resolution,[status(thm)],[f2544,f2056])).
% 5.60/1.07 fof(f2584,plain,(
% 5.60/1.07 spl0_33),
% 5.60/1.07 inference(contradiction_clause,[status(thm)],[f2583])).
% 5.60/1.07 fof(f2585,plain,(
% 5.60/1.07 cong(sk0_23,sk0_23,sk0_23,sk0_23)|~spl0_15),
% 5.60/1.07 inference(resolution,[status(thm)],[f2352,f260])).
% 5.60/1.07 fof(f2596,plain,(
% 5.60/1.07 ![X0]: (~cong(sk0_20,sk0_23,sk0_20,X0)|circle(sk0_20,sk0_23,X0,sk0_23)|~spl0_16)),
% 5.60/1.07 inference(resolution,[status(thm)],[f2355,f124])).
% 5.64/1.07 fof(f2602,plain,(
% 5.64/1.07 ![X0,X1]: (~cong(sk0_23,sk0_23,sk0_23,X0)|~cong(sk0_23,sk0_23,sk0_23,X1)|cyclic(sk0_23,X0,sk0_23,X1)|~spl0_15)),
% 5.64/1.07 inference(resolution,[status(thm)],[f2585,f127])).
% 5.64/1.07 fof(f2628,plain,(
% 5.64/1.07 spl0_35 <=> ~circle(X0,sk0_23,sk0_20,sk0_20)),
% 5.64/1.07 introduced(split_symbol_definition)).
% 5.64/1.07 fof(f2629,plain,(
% 5.64/1.07 ![X0]: (~circle(X0,sk0_23,sk0_20,sk0_20)|~spl0_35)),
% 5.64/1.07 inference(component_clause,[status(thm)],[f2628])).
% 5.64/1.07 fof(f2631,plain,(
% 5.64/1.07 spl0_36 <=> coll(sk0_20,sk0_20,sk0_20)),
% 5.64/1.07 introduced(split_symbol_definition)).
% 5.64/1.07 fof(f2633,plain,(
% 5.64/1.07 ~coll(sk0_20,sk0_20,sk0_20)|spl0_36),
% 5.64/1.07 inference(component_clause,[status(thm)],[f2631])).
% 5.64/1.07 fof(f2634,plain,(
% 5.64/1.07 spl0_37 <=> midp(sk0_20,sk0_20,sk0_20)),
% 5.64/1.07 introduced(split_symbol_definition)).
% 5.64/1.07 fof(f2635,plain,(
% 5.64/1.07 midp(sk0_20,sk0_20,sk0_20)|~spl0_37),
% 5.64/1.07 inference(component_clause,[status(thm)],[f2634])).
% 5.64/1.07 fof(f2637,plain,(
% 5.64/1.07 ![X0]: (~circle(X0,sk0_23,sk0_20,sk0_20)|~coll(sk0_20,sk0_20,sk0_20)|midp(sk0_20,sk0_20,sk0_20)|~spl0_1)),
% 5.64/1.07 inference(resolution,[status(thm)],[f2529,f219])).
% 5.64/1.07 fof(f2638,plain,(
% 5.64/1.07 spl0_35|~spl0_36|spl0_37|~spl0_1),
% 5.64/1.07 inference(split_clause,[status(thm)],[f2637,f2628,f2631,f2634,f2008])).
% 5.64/1.07 fof(f2644,plain,(
% 5.64/1.07 $false|spl0_36),
% 5.64/1.07 inference(forward_subsumption_resolution,[status(thm)],[f2633,f2092])).
% 5.64/1.07 fof(f2645,plain,(
% 5.64/1.07 spl0_36),
% 5.64/1.07 inference(contradiction_clause,[status(thm)],[f2644])).
% 5.64/1.07 fof(f2660,plain,(
% 5.64/1.07 spl0_38 <=> coll(sk0_20,sk0_23,sk0_23)),
% 5.64/1.07 introduced(split_symbol_definition)).
% 5.64/1.07 fof(f2662,plain,(
% 5.64/1.07 ~coll(sk0_20,sk0_23,sk0_23)|spl0_38),
% 5.64/1.07 inference(component_clause,[status(thm)],[f2660])).
% 5.64/1.07 fof(f2857,plain,(
% 5.64/1.07 $false|spl0_38),
% 5.64/1.07 inference(forward_subsumption_resolution,[status(thm)],[f2662,f918])).
% 5.64/1.07 fof(f2858,plain,(
% 5.64/1.07 spl0_38),
% 5.64/1.07 inference(contradiction_clause,[status(thm)],[f2857])).
% 5.64/1.07 fof(f2879,plain,(
% 5.64/1.07 spl0_64 <=> ~perp(X0,X1,X0,X1)),
% 5.64/1.07 introduced(split_symbol_definition)).
% 5.64/1.07 fof(f2880,plain,(
% 5.64/1.07 ![X0,X1]: (~perp(X0,X1,X0,X1)|~spl0_64)),
% 5.64/1.07 inference(component_clause,[status(thm)],[f2879])).
% 5.64/1.07 fof(f2882,plain,(
% 5.64/1.07 spl0_65 <=> perp(sk0_20,sk0_23,sk0_20,sk0_23)),
% 5.64/1.07 introduced(split_symbol_definition)).
% 5.64/1.07 fof(f2885,plain,(
% 5.64/1.07 ![X0,X1]: (~perp(X0,X1,X0,X1)|perp(sk0_20,sk0_23,sk0_20,sk0_23)|~spl0_1)),
% 5.64/1.07 inference(resolution,[status(thm)],[f274,f2523])).
% 5.64/1.07 fof(f2886,plain,(
% 5.64/1.07 spl0_64|spl0_65|~spl0_1),
% 5.64/1.07 inference(split_clause,[status(thm)],[f2885,f2879,f2882,f2008])).
% 5.64/1.07 fof(f3157,plain,(
% 5.64/1.07 spl0_91 <=> perp(sk0_23,sk0_23,sk0_23,sk0_23)),
% 5.64/1.07 introduced(split_symbol_definition)).
% 5.64/1.07 fof(f3158,plain,(
% 5.64/1.07 perp(sk0_23,sk0_23,sk0_23,sk0_23)|~spl0_91),
% 5.64/1.07 inference(component_clause,[status(thm)],[f3157])).
% 5.64/1.07 fof(f3191,plain,(
% 5.64/1.07 spl0_94 <=> perp(X0,X1,X0,X1)),
% 5.64/1.07 introduced(split_symbol_definition)).
% 5.64/1.07 fof(f3192,plain,(
% 5.64/1.07 ![X0,X1]: (perp(X0,X1,X0,X1)|~spl0_94)),
% 5.64/1.07 inference(component_clause,[status(thm)],[f3191])).
% 5.64/1.07 fof(f3213,plain,(
% 5.64/1.07 ![X0,X1]: (~perp(sk0_20,sk0_23,sk0_20,sk0_23)|perp(X0,X1,X0,X1)|~spl0_1)),
% 5.64/1.07 inference(resolution,[status(thm)],[f2578,f274])).
% 5.64/1.07 fof(f3214,plain,(
% 5.64/1.07 ~spl0_65|spl0_94|~spl0_1),
% 5.64/1.07 inference(split_clause,[status(thm)],[f3213,f2882,f3191,f2008])).
% 5.64/1.07 fof(f3263,plain,(
% 5.64/1.07 circle(sk0_20,sk0_23,sk0_23,sk0_23)|~spl0_16),
% 5.64/1.07 inference(resolution,[status(thm)],[f2596,f2355])).
% 5.64/1.07 fof(f3331,plain,(
% 5.64/1.07 circle(sk0_24,sk0_23,sk0_20,sk0_20)),
% 5.64/1.07 inference(resolution,[status(thm)],[f612,f610])).
% 5.64/1.07 fof(f3332,plain,(
% 5.64/1.07 $false|~spl0_35),
% 5.64/1.07 inference(forward_subsumption_resolution,[status(thm)],[f3331,f2629])).
% 5.64/1.07 fof(f3333,plain,(
% 5.64/1.07 ~spl0_35),
% 5.64/1.07 inference(contradiction_clause,[status(thm)],[f3332])).
% 5.64/1.07 fof(f3433,plain,(
% 5.64/1.07 ![X0]: (~cyclic(sk0_23,X0,sk0_23,sk0_23)|~cyclic(sk0_23,X0,sk0_23,X0)|~cyclic(sk0_23,X0,sk0_23,sk0_23)|cong(sk0_23,X0,sk0_23,X0)|~spl0_1)),
% 5.64/1.07 inference(resolution,[status(thm)],[f198,f2513])).
% 5.64/1.07 fof(f3434,plain,(
% 5.64/1.07 ![X0]: (~cyclic(sk0_23,X0,sk0_23,sk0_23)|~cyclic(sk0_23,X0,sk0_23,X0)|cong(sk0_23,X0,sk0_23,X0)|~spl0_1)),
% 5.64/1.07 inference(duplicate_literals_removal,[status(esa)],[f3433])).
% 5.64/1.07 fof(f3566,plain,(
% 5.64/1.07 ~coll(sk0_20,sk0_23,sk0_23)|perp(sk0_23,sk0_23,sk0_23,sk0_23)|~spl0_16),
% 5.64/1.07 inference(resolution,[status(thm)],[f3263,f225])).
% 5.64/1.07 fof(f3567,plain,(
% 5.64/1.07 ~spl0_38|spl0_91|~spl0_16),
% 5.64/1.07 inference(split_clause,[status(thm)],[f3566,f2660,f3157,f2354])).
% 5.64/1.07 fof(f3570,plain,(
% 5.64/1.07 $false|~spl0_64|~spl0_91),
% 5.64/1.07 inference(forward_subsumption_resolution,[status(thm)],[f3158,f2880])).
% 5.64/1.07 fof(f3571,plain,(
% 5.64/1.07 ~spl0_64|~spl0_91),
% 5.64/1.07 inference(contradiction_clause,[status(thm)],[f3570])).
% 5.64/1.07 fof(f3585,plain,(
% 5.64/1.07 ![X0,X1]: (perp(X0,X1,X1,X0)|~spl0_94)),
% 5.64/1.07 inference(resolution,[status(thm)],[f3192,f112])).
% 5.64/1.07 fof(f3599,plain,(
% 5.64/1.07 ![X0,X1,X2]: (~midp(X0,X1,X1)|cong(X1,X0,X2,X0)|~spl0_94)),
% 5.64/1.07 inference(resolution,[status(thm)],[f3585,f222])).
% 5.64/1.07 fof(f3661,plain,(
% 5.64/1.07 ![X0]: (cong(sk0_20,sk0_20,X0,sk0_20)|~spl0_94|~spl0_37)),
% 5.64/1.07 inference(resolution,[status(thm)],[f3599,f2635])).
% 5.64/1.07 fof(f3665,plain,(
% 5.64/1.07 ![X0]: (cong(sk0_23,sk0_23,X0,sk0_23)|~spl0_94|~spl0_15)),
% 5.64/1.07 inference(resolution,[status(thm)],[f3599,f2352])).
% 5.64/1.07 fof(f3728,plain,(
% 5.64/1.07 ![X0]: (cong(sk0_20,sk0_20,sk0_20,X0)|~spl0_94|~spl0_37)),
% 5.64/1.07 inference(resolution,[status(thm)],[f3661,f149])).
% 5.64/1.07 fof(f3775,plain,(
% 5.64/1.07 ![X0]: (cong(sk0_23,sk0_23,sk0_23,X0)|~spl0_94|~spl0_15)),
% 5.64/1.07 inference(resolution,[status(thm)],[f3665,f149])).
% 5.64/1.07 fof(f3778,plain,(
% 5.64/1.07 ![X0,X1]: (~cong(sk0_23,sk0_23,sk0_23,X0)|cyclic(sk0_23,X1,sk0_23,X0)|~spl0_94|~spl0_15)),
% 5.64/1.07 inference(backward_subsumption_resolution,[status(thm)],[f2602,f3775])).
% 5.64/1.07 fof(f3779,plain,(
% 5.64/1.07 ![X0,X1]: (cyclic(sk0_23,X0,sk0_23,X1)|~spl0_94|~spl0_15)),
% 5.64/1.07 inference(forward_subsumption_resolution,[status(thm)],[f3778,f3775])).
% 5.64/1.07 fof(f3784,plain,(
% 5.64/1.07 ![X0]: (~cyclic(sk0_23,X0,sk0_23,X0)|cong(sk0_23,X0,sk0_23,X0)|~spl0_94|~spl0_15|~spl0_1)),
% 5.64/1.07 inference(backward_subsumption_resolution,[status(thm)],[f3434,f3779])).
% 5.64/1.07 fof(f3785,plain,(
% 5.64/1.07 ![X0]: (cong(sk0_23,X0,sk0_23,X0)|~spl0_94|~spl0_15|~spl0_1)),
% 5.64/1.07 inference(forward_subsumption_resolution,[status(thm)],[f3784,f3779])).
% 5.64/1.07 fof(f4039,plain,(
% 5.64/1.07 ![X0,X1]: (~cong(sk0_23,X0,sk0_23,X0)|perp(sk0_23,sk0_23,X0,X1)|~spl0_94|~spl0_15|~spl0_1)),
% 5.64/1.07 inference(resolution,[status(thm)],[f3785,f232])).
% 5.64/1.07 fof(f4040,plain,(
% 5.64/1.07 ![X0,X1]: (perp(sk0_23,sk0_23,X0,X1)|~spl0_94|~spl0_15|~spl0_1)),
% 5.64/1.07 inference(forward_subsumption_resolution,[status(thm)],[f4039,f3785])).
% 5.64/1.08 fof(f4060,plain,(
% 5.64/1.08 ![X0,X1,X2,X3]: (~para(X0,X1,sk0_23,sk0_23)|perp(X0,X1,X2,X3)|~spl0_94|~spl0_15|~spl0_1)),
% 5.64/1.08 inference(resolution,[status(thm)],[f4040,f120])).
% 5.64/1.08 fof(f4061,plain,(
% 5.64/1.08 ![X0,X1,X2,X3]: (~perp(X0,X1,sk0_23,sk0_23)|para(X0,X1,X2,X3)|~spl0_94|~spl0_15|~spl0_1)),
% 5.64/1.08 inference(resolution,[status(thm)],[f4040,f117])).
% 5.64/1.08 fof(f4062,plain,(
% 5.64/1.08 ![X0,X1]: (perp(X0,X1,sk0_23,sk0_23)|~spl0_94|~spl0_15|~spl0_1)),
% 5.64/1.08 inference(resolution,[status(thm)],[f4040,f114])).
% 5.64/1.08 fof(f4064,plain,(
% 5.64/1.08 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3)|~spl0_94|~spl0_15|~spl0_1)),
% 5.64/1.08 inference(backward_subsumption_resolution,[status(thm)],[f4061,f4062])).
% 5.64/1.08 fof(f4073,plain,(
% 5.64/1.08 ![X0,X1,X2,X3]: (perp(X0,X1,X2,X3)|~spl0_94|~spl0_15|~spl0_1)),
% 5.64/1.08 inference(backward_subsumption_resolution,[status(thm)],[f4060,f4064])).
% 5.64/1.08 fof(f4094,plain,(
% 5.64/1.08 ![X0,X1,X2]: (coll(X0,X1,X2)|~spl0_94|~spl0_15|~spl0_1)),
% 5.64/1.08 inference(backward_subsumption_resolution,[status(thm)],[f256,f4064])).
% 5.64/1.08 fof(f4097,plain,(
% 5.64/1.08 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X1,X3,X2,X4)|midp(X0,X4,X3)|~spl0_94|~spl0_15|~spl0_1)),
% 5.64/1.08 inference(backward_subsumption_resolution,[status(thm)],[f252,f4064])).
% 5.64/1.08 fof(f4098,plain,(
% 5.64/1.08 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|midp(X0,X3,X4)|~spl0_94|~spl0_15|~spl0_1)),
% 5.64/1.08 inference(forward_subsumption_resolution,[status(thm)],[f4097,f4064])).
% 5.64/1.08 fof(f4112,plain,(
% 5.64/1.08 ![X0,X1,X2,X3]: (~midp(X0,X1,X2)|cong(X3,X1,X3,X2)|~spl0_94|~spl0_15|~spl0_1)),
% 5.64/1.08 inference(backward_subsumption_resolution,[status(thm)],[f230,f4073])).
% 5.64/1.08 fof(f4149,plain,(
% 5.64/1.08 ![X0]: (~circle(sk0_20,sk0_20,sk0_23,X0)|midp(X0,sk0_23,X0)|~spl0_94|~spl0_15|~spl0_1)),
% 5.64/1.08 inference(backward_subsumption_resolution,[status(thm)],[f2522,f4094])).
% 5.64/1.08 fof(f4259,plain,(
% 5.64/1.08 ![X0,X1]: (~cong(sk0_20,sk0_20,sk0_20,X0)|circle(sk0_20,sk0_20,X0,X1)|~spl0_94|~spl0_37)),
% 5.64/1.08 inference(resolution,[status(thm)],[f3728,f124])).
% 5.64/1.08 fof(f4260,plain,(
% 5.64/1.08 ![X0,X1]: (circle(sk0_20,sk0_20,X0,X1)|~spl0_94|~spl0_37)),
% 5.64/1.08 inference(forward_subsumption_resolution,[status(thm)],[f4259,f3728])).
% 5.64/1.08 fof(f4261,plain,(
% 5.64/1.08 ![X0]: (midp(X0,sk0_23,X0)|~spl0_37|~spl0_94|~spl0_15|~spl0_1)),
% 5.64/1.08 inference(backward_subsumption_resolution,[status(thm)],[f4149,f4260])).
% 5.64/1.08 fof(f4308,plain,(
% 5.64/1.08 ![X0,X1,X2]: (midp(X0,X1,X2)|~spl0_37|~spl0_94|~spl0_15|~spl0_1)),
% 5.64/1.08 inference(resolution,[status(thm)],[f4098,f4261])).
% 5.64/1.08 fof(f4339,plain,(
% 5.64/1.08 ![X0,X1,X2]: (cong(X0,X1,X0,X2)|~spl0_37|~spl0_94|~spl0_15|~spl0_1)),
% 5.64/1.08 inference(backward_subsumption_resolution,[status(thm)],[f4112,f4308])).
% 5.64/1.08 fof(f4352,plain,(
% 5.64/1.08 $false|~spl0_37|~spl0_94|~spl0_15|~spl0_1),
% 5.64/1.08 inference(backward_subsumption_resolution,[status(thm)],[f383,f4339])).
% 5.64/1.08 fof(f4353,plain,(
% 5.64/1.08 ~spl0_37|~spl0_94|~spl0_15|~spl0_1),
% 5.64/1.08 inference(contradiction_clause,[status(thm)],[f4352])).
% 5.64/1.08 fof(f4354,plain,(
% 5.64/1.08 $false),
% 5.64/1.08 inference(sat_refutation,[status(thm)],[f2012,f2038,f2358,f2575,f2582,f2584,f2638,f2645,f2858,f2886,f3214,f3333,f3567,f3571,f4353])).
% 5.64/1.08 % SZS output end CNFRefutation for theBenchmark.p
% 5.64/1.08 % Elapsed time: 0.735981 seconds
% 5.64/1.08 % CPU time: 5.679813 seconds
% 5.64/1.08 % Total memory used: 115.529 MB
% 5.64/1.08 % Net memory used: 108.259 MB
%------------------------------------------------------------------------------