TSTP Solution File: GEO606+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO606+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:09:18 EDT 2023
% Result : Theorem 8.51s 1.45s
% Output : CNFRefutation 8.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : GEO606+1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26 % Computer : n007.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Tue May 30 11:49:16 EDT 2023
% 0.07/0.26 % CPUTime :
% 0.07/0.27 % Drodi V3.5.1
% 8.51/1.45 % Refutation found
% 8.51/1.45 % SZS status Theorem for theBenchmark: Theorem is valid
% 8.51/1.45 % SZS output start CNFRefutation for theBenchmark
% 8.51/1.45 fof(f1,axiom,(
% 8.51/1.45 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 8.51/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.51/1.45 fof(f2,axiom,(
% 8.51/1.45 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 8.51/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.51/1.45 fof(f3,axiom,(
% 8.51/1.45 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 8.51/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.51/1.45 fof(f4,axiom,(
% 8.51/1.45 (! [A,B,C,D] :( para(A,B,C,D)=> para(A,B,D,C) ) )),
% 8.51/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.51/1.45 fof(f7,axiom,(
% 8.51/1.45 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(A,B,D,C) ) )),
% 8.51/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.51/1.45 fof(f8,axiom,(
% 8.51/1.45 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 8.51/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.51/1.45 fof(f9,axiom,(
% 8.51/1.45 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 8.51/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.51/1.45 fof(f17,axiom,(
% 8.51/1.45 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 8.51/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.51/1.45 fof(f19,axiom,(
% 8.51/1.45 (! [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) ) )),
% 8.51/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.51/1.45 fof(f21,axiom,(
% 8.51/1.45 (! [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) ) )),
% 8.51/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.51/1.45 fof(f23,axiom,(
% 8.51/1.45 (! [A,B,C,D] :( cong(A,B,C,D)=> cong(A,B,D,C) ) )),
% 8.51/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.51/1.45 fof(f24,axiom,(
% 8.51/1.45 (! [A,B,C,D] :( cong(A,B,C,D)=> cong(C,D,A,B) ) )),
% 8.51/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.51/1.45 fof(f39,axiom,(
% 8.51/1.45 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 8.51/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.51/1.45 fof(f40,axiom,(
% 8.51/1.45 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 8.51/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.51/1.45 fof(f41,axiom,(
% 8.51/1.45 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 8.51/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.51/1.45 fof(f43,axiom,(
% 8.51/1.45 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 8.51/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.51/1.45 fof(f44,axiom,(
% 8.51/1.45 (! [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) ) )),
% 8.51/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.51/1.45 fof(f46,axiom,(
% 8.51/1.45 (! [A,B,C,E,F] :( ( midp(E,A,B)& para(E,F,B,C)& coll(F,A,C) )=> midp(F,A,C) ) )),
% 8.51/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.51/1.45 fof(f47,axiom,(
% 8.51/1.45 (! [A,B,O] :( cong(O,A,O,B)=> eqangle(O,A,A,B,A,B,O,B) ) )),
% 8.51/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.51/1.45 fof(f52,axiom,(
% 8.51/1.45 (! [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) ) )),
% 8.51/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.51/1.45 fof(f57,axiom,(
% 8.51/1.45 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 8.51/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.51/1.45 fof(f58,axiom,(
% 8.51/1.45 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q)& cyclic(A,B,P,Q) )=> perp(P,A,A,Q) ) )),
% 8.51/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.51/1.45 fof(f67,axiom,(
% 8.51/1.45 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 8.51/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.51/1.45 fof(f69,axiom,(
% 8.51/1.45 (! [A,B,C] :( midp(A,B,C)=> cong(A,B,A,C) ) )),
% 8.51/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.51/1.45 fof(f90,axiom,(
% 8.51/1.45 (! [A,B,C,D] :(? [O] :( ( perp(A,C,C,B)& cyclic(A,B,C,D) )=> circle(O,A,B,C) ) ))),
% 8.51/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.51/1.45 fof(f95,conjecture,(
% 8.51/1.45 (! [A,B,P,D,E,I,F,G,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,NWPNT6,NWPNT7,NWPNT8,NWPNT9,NWPNT01] :( ( perp(P,A,P,B)& circle(A,P,NWPNT1,NWPNT2)& circle(B,P,NWPNT3,NWPNT4)& circle(A,P,D,NWPNT5)& circle(A,D,E,NWPNT6)& coll(E,D,A)& circle(A,P,I,NWPNT7)& circle(B,P,I,NWPNT8)& coll(F,D,I)& circle(B,P,F,NWPNT9)& circle(B,F,G,NWPNT01)& coll(G,F,B) )=> perp(G,F,D,E) ) )),
% 8.51/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.51/1.45 fof(f96,negated_conjecture,(
% 8.51/1.45 ~((! [A,B,P,D,E,I,F,G,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,NWPNT6,NWPNT7,NWPNT8,NWPNT9,NWPNT01] :( ( perp(P,A,P,B)& circle(A,P,NWPNT1,NWPNT2)& circle(B,P,NWPNT3,NWPNT4)& circle(A,P,D,NWPNT5)& circle(A,D,E,NWPNT6)& coll(E,D,A)& circle(A,P,I,NWPNT7)& circle(B,P,I,NWPNT8)& coll(F,D,I)& circle(B,P,F,NWPNT9)& circle(B,F,G,NWPNT01)& coll(G,F,B) )=> perp(G,F,D,E) ) ))),
% 8.51/1.45 inference(negated_conjecture,[status(cth)],[f95])).
% 8.51/1.45 fof(f97,plain,(
% 8.51/1.45 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 8.51/1.45 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 8.51/1.45 fof(f98,plain,(
% 8.51/1.45 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 8.51/1.45 inference(cnf_transformation,[status(esa)],[f97])).
% 8.51/1.45 fof(f99,plain,(
% 8.51/1.45 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 8.51/1.45 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 8.51/1.45 fof(f100,plain,(
% 8.51/1.45 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 8.51/1.45 inference(cnf_transformation,[status(esa)],[f99])).
% 8.51/1.45 fof(f101,plain,(
% 8.51/1.45 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 8.51/1.45 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 8.51/1.45 fof(f102,plain,(
% 8.51/1.45 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 8.51/1.45 inference(miniscoping,[status(esa)],[f101])).
% 8.51/1.45 fof(f103,plain,(
% 8.51/1.45 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 8.51/1.45 inference(cnf_transformation,[status(esa)],[f102])).
% 8.51/1.45 fof(f104,plain,(
% 8.51/1.45 ![A,B,C,D]: (~para(A,B,C,D)|para(A,B,D,C))),
% 8.51/1.45 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 8.51/1.45 fof(f105,plain,(
% 8.51/1.45 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X0,X1,X3,X2))),
% 8.51/1.45 inference(cnf_transformation,[status(esa)],[f104])).
% 8.51/1.45 fof(f111,plain,(
% 8.51/1.45 ![A,B,C,D]: (~perp(A,B,C,D)|perp(A,B,D,C))),
% 8.51/1.45 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 8.51/1.45 fof(f112,plain,(
% 8.51/1.45 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X0,X1,X3,X2))),
% 8.51/1.45 inference(cnf_transformation,[status(esa)],[f111])).
% 8.51/1.45 fof(f113,plain,(
% 8.51/1.45 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 8.51/1.45 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 8.51/1.45 fof(f114,plain,(
% 8.51/1.45 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 8.51/1.45 inference(cnf_transformation,[status(esa)],[f113])).
% 8.51/1.45 fof(f115,plain,(
% 8.51/1.45 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 8.51/1.45 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 8.51/1.45 fof(f116,plain,(
% 8.51/1.45 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 8.51/1.45 inference(miniscoping,[status(esa)],[f115])).
% 8.51/1.45 fof(f117,plain,(
% 8.51/1.45 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 8.51/1.45 inference(cnf_transformation,[status(esa)],[f116])).
% 8.51/1.45 fof(f134,plain,(
% 8.51/1.45 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 8.51/1.45 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 8.51/1.45 fof(f135,plain,(
% 8.51/1.45 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 8.51/1.45 inference(miniscoping,[status(esa)],[f134])).
% 8.51/1.45 fof(f136,plain,(
% 8.51/1.45 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 8.51/1.45 inference(cnf_transformation,[status(esa)],[f135])).
% 8.51/1.45 fof(f139,plain,(
% 8.51/1.45 ![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))),
% 8.51/1.45 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 8.51/1.45 fof(f140,plain,(
% 8.51/1.45 ![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))),
% 8.51/1.45 inference(cnf_transformation,[status(esa)],[f139])).
% 8.51/1.45 fof(f143,plain,(
% 8.51/1.45 ![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))),
% 8.51/1.45 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 8.51/1.45 fof(f144,plain,(
% 8.51/1.45 ![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))),
% 8.51/1.45 inference(cnf_transformation,[status(esa)],[f143])).
% 8.51/1.45 fof(f148,plain,(
% 8.51/1.45 ![A,B,C,D]: (~cong(A,B,C,D)|cong(A,B,D,C))),
% 8.51/1.45 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 8.51/1.45 fof(f149,plain,(
% 8.51/1.45 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X3)|cong(X0,X1,X3,X2))),
% 8.51/1.45 inference(cnf_transformation,[status(esa)],[f148])).
% 8.51/1.45 fof(f150,plain,(
% 8.51/1.45 ![A,B,C,D]: (~cong(A,B,C,D)|cong(C,D,A,B))),
% 8.51/1.45 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 8.51/1.45 fof(f151,plain,(
% 8.51/1.45 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X3)|cong(X2,X3,X0,X1))),
% 8.51/1.45 inference(cnf_transformation,[status(esa)],[f150])).
% 8.51/1.45 fof(f184,plain,(
% 8.51/1.45 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 8.51/1.45 inference(pre_NNF_transformation,[status(esa)],[f39])).
% 8.51/1.45 fof(f185,plain,(
% 8.51/1.45 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 8.51/1.45 inference(miniscoping,[status(esa)],[f184])).
% 8.51/1.45 fof(f186,plain,(
% 8.51/1.45 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 8.51/1.45 inference(cnf_transformation,[status(esa)],[f185])).
% 8.51/1.45 fof(f187,plain,(
% 8.51/1.45 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 8.51/1.45 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 8.51/1.45 fof(f188,plain,(
% 8.51/1.45 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 8.51/1.45 inference(miniscoping,[status(esa)],[f187])).
% 8.51/1.45 fof(f189,plain,(
% 8.51/1.45 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 8.51/1.45 inference(cnf_transformation,[status(esa)],[f188])).
% 8.51/1.45 fof(f190,plain,(
% 8.51/1.45 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 8.51/1.45 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 8.51/1.45 fof(f191,plain,(
% 8.51/1.45 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 8.51/1.45 inference(cnf_transformation,[status(esa)],[f190])).
% 8.51/1.45 fof(f194,plain,(
% 8.51/1.45 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 8.51/1.45 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 8.51/1.45 fof(f195,plain,(
% 8.51/1.45 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 8.51/1.45 inference(cnf_transformation,[status(esa)],[f194])).
% 8.51/1.45 fof(f196,plain,(
% 8.51/1.45 ![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))),
% 8.51/1.45 inference(pre_NNF_transformation,[status(esa)],[f44])).
% 8.51/1.45 fof(f197,plain,(
% 8.51/1.45 ![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))),
% 8.51/1.45 inference(miniscoping,[status(esa)],[f196])).
% 8.51/1.45 fof(f198,plain,(
% 8.51/1.45 ![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))),
% 8.51/1.45 inference(cnf_transformation,[status(esa)],[f197])).
% 8.51/1.45 fof(f202,plain,(
% 8.51/1.45 ![A,B,C,E,F]: (((~midp(E,A,B)|~para(E,F,B,C))|~coll(F,A,C))|midp(F,A,C))),
% 8.51/1.45 inference(pre_NNF_transformation,[status(esa)],[f46])).
% 8.51/1.45 fof(f203,plain,(
% 8.51/1.45 ![A,C,F]: (((![B,E]: (~midp(E,A,B)|~para(E,F,B,C)))|~coll(F,A,C))|midp(F,A,C))),
% 8.51/1.45 inference(miniscoping,[status(esa)],[f202])).
% 8.51/1.45 fof(f204,plain,(
% 8.51/1.45 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X0,X3,X2,X4)|~coll(X3,X1,X4)|midp(X3,X1,X4))),
% 8.51/1.45 inference(cnf_transformation,[status(esa)],[f203])).
% 8.51/1.45 fof(f205,plain,(
% 8.51/1.45 ![A,B,O]: (~cong(O,A,O,B)|eqangle(O,A,A,B,A,B,O,B))),
% 8.51/1.45 inference(pre_NNF_transformation,[status(esa)],[f47])).
% 8.51/1.45 fof(f206,plain,(
% 8.51/1.45 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|eqangle(X0,X1,X1,X2,X1,X2,X0,X2))),
% 8.51/1.45 inference(cnf_transformation,[status(esa)],[f205])).
% 8.51/1.45 fof(f217,plain,(
% 8.51/1.45 ![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))),
% 8.51/1.45 inference(pre_NNF_transformation,[status(esa)],[f52])).
% 8.51/1.45 fof(f218,plain,(
% 8.51/1.45 ![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))),
% 8.51/1.45 inference(miniscoping,[status(esa)],[f217])).
% 8.51/1.45 fof(f219,plain,(
% 8.51/1.45 ![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))),
% 8.51/1.45 inference(cnf_transformation,[status(esa)],[f218])).
% 8.51/1.45 fof(f231,plain,(
% 8.51/1.45 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 8.51/1.45 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 8.51/1.45 fof(f232,plain,(
% 8.51/1.45 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 8.51/1.45 inference(cnf_transformation,[status(esa)],[f231])).
% 8.51/1.45 fof(f233,plain,(
% 8.51/1.45 ![A,B,P,Q]: (((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q))|perp(P,A,A,Q))),
% 8.51/1.45 inference(pre_NNF_transformation,[status(esa)],[f58])).
% 8.51/1.45 fof(f234,plain,(
% 8.51/1.45 ![A,P,Q]: ((![B]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q)))|perp(P,A,A,Q))),
% 8.51/1.45 inference(miniscoping,[status(esa)],[f233])).
% 8.51/1.45 fof(f235,plain,(
% 8.51/1.45 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|~cyclic(X0,X2,X1,X3)|perp(X1,X0,X0,X3))),
% 8.51/1.45 inference(cnf_transformation,[status(esa)],[f234])).
% 8.51/1.45 fof(f255,plain,(
% 8.51/1.45 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 8.51/1.45 inference(pre_NNF_transformation,[status(esa)],[f67])).
% 8.51/1.45 fof(f256,plain,(
% 8.51/1.45 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 8.51/1.45 inference(cnf_transformation,[status(esa)],[f255])).
% 8.51/1.45 fof(f259,plain,(
% 8.51/1.45 ![A,B,C]: (~midp(A,B,C)|cong(A,B,A,C))),
% 8.51/1.45 inference(pre_NNF_transformation,[status(esa)],[f69])).
% 8.51/1.45 fof(f260,plain,(
% 8.51/1.45 ![X0,X1,X2]: (~midp(X0,X1,X2)|cong(X0,X1,X0,X2))),
% 8.51/1.45 inference(cnf_transformation,[status(esa)],[f259])).
% 8.51/1.45 fof(f346,plain,(
% 8.51/1.45 ![A,B,C,D]: (?[O]: ((~perp(A,C,C,B)|~cyclic(A,B,C,D))|circle(O,A,B,C)))),
% 8.51/1.45 inference(pre_NNF_transformation,[status(esa)],[f90])).
% 8.51/1.45 fof(f347,plain,(
% 8.51/1.45 ![A,B,C]: ((~perp(A,C,C,B)|(![D]: ~cyclic(A,B,C,D)))|(?[O]: circle(O,A,B,C)))),
% 8.51/1.45 inference(miniscoping,[status(esa)],[f346])).
% 8.51/1.45 fof(f348,plain,(
% 8.51/1.45 ![A,B,C]: ((~perp(A,C,C,B)|(![D]: ~cyclic(A,B,C,D)))|circle(sk0_15(C,B,A),A,B,C))),
% 8.51/1.45 inference(skolemization,[status(esa)],[f347])).
% 8.51/1.45 fof(f349,plain,(
% 8.51/1.45 ![X0,X1,X2,X3]: (~perp(X0,X1,X1,X2)|~cyclic(X0,X2,X1,X3)|circle(sk0_15(X1,X2,X0),X0,X2,X1))),
% 8.51/1.45 inference(cnf_transformation,[status(esa)],[f348])).
% 8.51/1.45 fof(f369,plain,(
% 8.51/1.45 (?[A,B,P,D,E,I,F,G,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,NWPNT6,NWPNT7,NWPNT8,NWPNT9,NWPNT01]: ((((((((((((perp(P,A,P,B)&circle(A,P,NWPNT1,NWPNT2))&circle(B,P,NWPNT3,NWPNT4))&circle(A,P,D,NWPNT5))&circle(A,D,E,NWPNT6))&coll(E,D,A))&circle(A,P,I,NWPNT7))&circle(B,P,I,NWPNT8))&coll(F,D,I))&circle(B,P,F,NWPNT9))&circle(B,F,G,NWPNT01))&coll(G,F,B))&~perp(G,F,D,E)))),
% 8.51/1.45 inference(pre_NNF_transformation,[status(esa)],[f96])).
% 8.51/1.45 fof(f370,plain,(
% 8.51/1.45 ?[D,E,F,G]: ((?[B]: (((?[P]: ((?[I]: (((?[A]: ((((((perp(P,A,P,B)&(?[NWPNT1,NWPNT2]: circle(A,P,NWPNT1,NWPNT2)))&(?[NWPNT3,NWPNT4]: circle(B,P,NWPNT3,NWPNT4)))&(?[NWPNT5]: circle(A,P,D,NWPNT5)))&(?[NWPNT6]: circle(A,D,E,NWPNT6)))&coll(E,D,A))&(?[NWPNT7]: circle(A,P,I,NWPNT7))))&(?[NWPNT8]: circle(B,P,I,NWPNT8)))&coll(F,D,I)))&(?[NWPNT9]: circle(B,P,F,NWPNT9))))&(?[NWPNT01]: circle(B,F,G,NWPNT01)))&coll(G,F,B)))&~perp(G,F,D,E))),
% 8.51/1.45 inference(miniscoping,[status(esa)],[f369])).
% 8.51/1.45 fof(f371,plain,(
% 8.51/1.45 ((((((((((((perp(sk0_25,sk0_27,sk0_25,sk0_24)&circle(sk0_27,sk0_25,sk0_28,sk0_29))&circle(sk0_24,sk0_25,sk0_30,sk0_31))&circle(sk0_27,sk0_25,sk0_20,sk0_32))&circle(sk0_27,sk0_20,sk0_21,sk0_33))&coll(sk0_21,sk0_20,sk0_27))&circle(sk0_27,sk0_25,sk0_26,sk0_34))&circle(sk0_24,sk0_25,sk0_26,sk0_35))&coll(sk0_22,sk0_20,sk0_26))&circle(sk0_24,sk0_25,sk0_22,sk0_36))&circle(sk0_24,sk0_22,sk0_23,sk0_37))&coll(sk0_23,sk0_22,sk0_24))&~perp(sk0_23,sk0_22,sk0_20,sk0_21))),
% 8.51/1.45 inference(skolemization,[status(esa)],[f370])).
% 8.51/1.45 fof(f372,plain,(
% 8.51/1.45 perp(sk0_25,sk0_27,sk0_25,sk0_24)),
% 8.51/1.45 inference(cnf_transformation,[status(esa)],[f371])).
% 8.51/1.45 fof(f384,plain,(
% 8.51/1.45 ~perp(sk0_23,sk0_22,sk0_20,sk0_21)),
% 8.51/1.45 inference(cnf_transformation,[status(esa)],[f371])).
% 8.51/1.45 fof(f568,plain,(
% 8.51/1.45 perp(sk0_25,sk0_24,sk0_25,sk0_27)),
% 8.51/1.45 inference(resolution,[status(thm)],[f114,f372])).
% 8.51/1.45 fof(f576,plain,(
% 8.51/1.45 perp(sk0_25,sk0_24,sk0_27,sk0_25)),
% 8.51/1.45 inference(resolution,[status(thm)],[f568,f112])).
% 8.51/1.45 fof(f579,plain,(
% 8.51/1.45 perp(sk0_27,sk0_25,sk0_25,sk0_24)),
% 8.51/1.45 inference(resolution,[status(thm)],[f576,f114])).
% 8.51/1.45 fof(f586,plain,(
% 8.51/1.45 ![X0,X1,X2]: (cong(X0,X1,X2,X0)|~midp(X0,X1,X2))),
% 8.51/1.45 inference(resolution,[status(thm)],[f149,f260])).
% 8.51/1.45 fof(f594,plain,(
% 8.51/1.45 ![X0,X1]: (~perp(X0,X1,sk0_25,sk0_24)|para(X0,X1,sk0_25,sk0_27))),
% 8.51/1.45 inference(resolution,[status(thm)],[f117,f568])).
% 8.51/1.45 fof(f662,plain,(
% 8.51/1.45 para(sk0_27,sk0_25,sk0_25,sk0_27)),
% 8.51/1.45 inference(resolution,[status(thm)],[f594,f579])).
% 8.51/1.45 fof(f676,plain,(
% 8.51/1.45 para(sk0_27,sk0_25,sk0_27,sk0_25)),
% 8.51/1.45 inference(resolution,[status(thm)],[f662,f105])).
% 8.51/1.45 fof(f768,plain,(
% 8.51/1.45 ![X0,X1,X2]: (cong(X0,X1,X1,X2)|~midp(X1,X2,X0))),
% 8.51/1.45 inference(resolution,[status(thm)],[f151,f586])).
% 8.51/1.45 fof(f769,plain,(
% 8.51/1.45 ![X0,X1,X2]: (cong(X0,X1,X0,X2)|~midp(X0,X2,X1))),
% 8.51/1.45 inference(resolution,[status(thm)],[f151,f260])).
% 8.51/1.45 fof(f775,plain,(
% 8.51/1.45 ![X0,X1,X2]: (~midp(X0,X1,X2)|cong(X2,X0,X1,X0))),
% 8.51/1.45 inference(resolution,[status(thm)],[f768,f149])).
% 8.51/1.45 fof(f2607,plain,(
% 8.51/1.45 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X2,X3,X4,X5,X4,X5))),
% 8.51/1.45 inference(resolution,[status(thm)],[f189,f144])).
% 8.51/1.45 fof(f2610,plain,(
% 8.51/1.45 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X4,X5,X0,X1,X4,X5,X2,X3))),
% 8.51/1.45 inference(resolution,[status(thm)],[f189,f140])).
% 8.51/1.45 fof(f2617,plain,(
% 8.51/1.45 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|~circle(X3,X2,X0,X1)|~coll(X1,X0,X1)|midp(X1,X0,X1))),
% 8.51/1.45 inference(resolution,[status(thm)],[f191,f219])).
% 8.51/1.45 fof(f3386,plain,(
% 8.51/1.45 ![X0,X1]: (~cong(X0,X0,X0,X1)|para(X0,X0,X0,X1))),
% 8.51/1.45 inference(resolution,[status(thm)],[f206,f186])).
% 8.51/1.45 fof(f3764,plain,(
% 8.51/1.45 ![X0,X1]: (para(X0,X0,X0,X1)|~midp(X0,X1,X0))),
% 8.51/1.45 inference(resolution,[status(thm)],[f3386,f769])).
% 8.51/1.45 fof(f11603,plain,(
% 8.51/1.45 spl0_599 <=> ~para(X4,X5,X4,X5)),
% 8.51/1.45 introduced(split_symbol_definition)).
% 8.51/1.45 fof(f11604,plain,(
% 8.51/1.45 ![X0,X1]: (~para(X0,X1,X0,X1)|~spl0_599)),
% 8.51/1.45 inference(component_clause,[status(thm)],[f11603])).
% 8.51/1.45 fof(f11670,plain,(
% 8.51/1.45 spl0_600 <=> para(X2,X3,X2,X3)),
% 8.51/1.45 introduced(split_symbol_definition)).
% 8.51/1.45 fof(f11671,plain,(
% 8.51/1.45 ![X0,X1]: (para(X0,X1,X0,X1)|~spl0_600)),
% 8.51/1.45 inference(component_clause,[status(thm)],[f11670])).
% 8.51/1.45 fof(f11673,plain,(
% 8.51/1.45 ![X0,X1,X2,X3]: (~para(X0,X1,X0,X1)|para(X2,X3,X2,X3))),
% 8.51/1.45 inference(resolution,[status(thm)],[f2610,f186])).
% 8.51/1.45 fof(f11674,plain,(
% 8.51/1.45 spl0_599|spl0_600),
% 8.51/1.45 inference(split_clause,[status(thm)],[f11673,f11603,f11670])).
% 8.51/1.45 fof(f11915,plain,(
% 8.51/1.45 $false|~spl0_599),
% 8.51/1.45 inference(backward_subsumption_resolution,[status(thm)],[f676,f11604])).
% 8.51/1.45 fof(f11916,plain,(
% 8.51/1.45 ~spl0_599),
% 8.51/1.45 inference(contradiction_clause,[status(thm)],[f11915])).
% 8.51/1.45 fof(f11943,plain,(
% 8.51/1.45 ![X0,X1]: (coll(X0,X1,X1)|~spl0_600)),
% 8.51/1.45 inference(resolution,[status(thm)],[f11671,f256])).
% 8.51/1.45 fof(f12397,plain,(
% 8.51/1.45 ![X0,X1]: (coll(X0,X1,X0)|~spl0_600)),
% 8.51/1.45 inference(resolution,[status(thm)],[f11943,f100])).
% 8.51/1.45 fof(f12399,plain,(
% 8.51/1.45 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|~circle(X3,X2,X0,X1)|midp(X1,X0,X1)|~spl0_600)),
% 8.51/1.45 inference(backward_subsumption_resolution,[status(thm)],[f2617,f12397])).
% 8.51/1.45 fof(f12865,plain,(
% 8.51/1.45 ![X0,X1]: (coll(X0,X0,X1)|~spl0_600)),
% 8.51/1.45 inference(resolution,[status(thm)],[f12397,f98])).
% 8.51/1.45 fof(f12926,plain,(
% 8.51/1.45 ![X0,X1,X2]: (~coll(X0,X0,X1)|coll(X1,X2,X0)|~spl0_600)),
% 8.51/1.45 inference(resolution,[status(thm)],[f12865,f103])).
% 8.51/1.45 fof(f12927,plain,(
% 8.51/1.45 ![X0,X1,X2]: (coll(X0,X1,X2)|~spl0_600)),
% 8.51/1.45 inference(forward_subsumption_resolution,[status(thm)],[f12926,f12865])).
% 8.51/1.45 fof(f12938,plain,(
% 8.51/1.45 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X0,X3,X2,X4)|midp(X3,X1,X4)|~spl0_600)),
% 8.51/1.45 inference(backward_subsumption_resolution,[status(thm)],[f204,f12927])).
% 8.51/1.45 fof(f12939,plain,(
% 8.51/1.45 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|cyclic(X1,X2,X0,X3)|~spl0_600)),
% 8.51/1.45 inference(backward_subsumption_resolution,[status(thm)],[f195,f12927])).
% 8.51/1.45 fof(f13204,plain,(
% 8.51/1.45 ![X0,X1,X2]: (cyclic(X0,X0,X1,X2)|~para(X1,X0,X1,X0)|~spl0_600)),
% 8.51/1.45 inference(resolution,[status(thm)],[f12939,f2607])).
% 8.51/1.45 fof(f13205,plain,(
% 8.51/1.45 ![X0,X1,X2]: (cyclic(X0,X0,X1,X2)|~spl0_600)),
% 8.51/1.45 inference(forward_subsumption_resolution,[status(thm)],[f13204,f11671])).
% 8.51/1.45 fof(f13225,plain,(
% 8.51/1.45 ![X0,X1,X2,X3]: (~cyclic(X0,X0,X1,X2)|cyclic(X0,X1,X2,X3)|~spl0_600)),
% 8.51/1.45 inference(resolution,[status(thm)],[f13205,f136])).
% 8.51/1.45 fof(f13226,plain,(
% 8.51/1.45 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3)|~spl0_600)),
% 8.51/1.45 inference(forward_subsumption_resolution,[status(thm)],[f13225,f13205])).
% 8.51/1.45 fof(f13241,plain,(
% 8.51/1.45 ![X0,X1,X2,X3,X4,X5]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|~eqangle(X2,X0,X2,X1,X4,X5,X4,X3)|cong(X0,X1,X5,X3)|~spl0_600)),
% 8.51/1.45 inference(backward_subsumption_resolution,[status(thm)],[f198,f13226])).
% 8.51/1.45 fof(f13242,plain,(
% 8.51/1.45 ![X0,X1,X2,X3,X4,X5]: (~cyclic(X0,X1,X2,X3)|~eqangle(X2,X0,X2,X1,X3,X4,X3,X5)|cong(X0,X1,X4,X5)|~spl0_600)),
% 8.51/1.45 inference(forward_subsumption_resolution,[status(thm)],[f13241,f13226])).
% 8.51/1.45 fof(f13243,plain,(
% 8.51/1.45 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~spl0_600)),
% 8.51/1.45 inference(backward_subsumption_resolution,[status(thm)],[f191,f13226])).
% 8.51/1.45 fof(f13245,plain,(
% 8.51/1.45 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X1,X0,X0,X3)|~spl0_600)),
% 8.51/1.45 inference(backward_subsumption_resolution,[status(thm)],[f235,f13226])).
% 8.51/1.45 fof(f13285,plain,(
% 8.51/1.45 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X0,X2,X3,X4,X3,X5)|cong(X1,X2,X4,X5)|~spl0_600)),
% 8.51/1.45 inference(forward_subsumption_resolution,[status(thm)],[f13242,f13226])).
% 8.51/1.45 fof(f13302,plain,(
% 8.51/1.45 ![X0,X1]: (cong(X0,X1,X0,X1)|~spl0_600)),
% 8.51/1.45 inference(resolution,[status(thm)],[f13243,f13285])).
% 8.51/1.45 fof(f13704,plain,(
% 8.51/1.45 ![X0,X1,X2]: (~perp(X0,X1,X1,X2)|circle(sk0_15(X1,X2,X0),X0,X2,X1)|~spl0_600)),
% 8.51/1.45 inference(forward_subsumption_resolution,[status(thm)],[f349,f13226])).
% 8.51/1.45 fof(f13776,plain,(
% 8.51/1.45 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X1,X0,X0,X2)|~spl0_600)),
% 8.51/1.45 inference(resolution,[status(thm)],[f13302,f13245])).
% 8.51/1.45 fof(f13777,plain,(
% 8.51/1.45 ![X0,X1,X2]: (perp(X0,X1,X1,X2)|~spl0_600)),
% 8.51/1.45 inference(forward_subsumption_resolution,[status(thm)],[f13776,f13302])).
% 8.51/1.45 fof(f13782,plain,(
% 8.51/1.45 ![X0,X1,X2]: (circle(sk0_15(X0,X1,X2),X2,X1,X0)|~spl0_600)),
% 8.51/1.45 inference(backward_subsumption_resolution,[status(thm)],[f13704,f13777])).
% 8.51/1.45 fof(f14500,plain,(
% 8.51/1.45 ![X0,X1,X2,X3]: (~circle(X0,X1,X2,X3)|midp(X3,X2,X3)|~spl0_600)),
% 8.51/1.45 inference(forward_subsumption_resolution,[status(thm)],[f12399,f13226])).
% 8.51/1.45 fof(f14502,plain,(
% 8.51/1.45 ![X0,X1]: (midp(X0,X1,X0)|~spl0_600)),
% 8.51/1.45 inference(resolution,[status(thm)],[f14500,f13782])).
% 8.51/1.45 fof(f14590,plain,(
% 8.51/1.45 ![X0,X1]: (para(X0,X0,X0,X1)|~spl0_600)),
% 8.51/1.45 inference(backward_subsumption_resolution,[status(thm)],[f3764,f14502])).
% 8.51/1.45 fof(f14638,plain,(
% 8.51/1.45 ![X0,X1,X2]: (~midp(X0,X1,X0)|midp(X0,X1,X2)|~spl0_600)),
% 8.51/1.45 inference(resolution,[status(thm)],[f14590,f12938])).
% 8.51/1.45 fof(f14639,plain,(
% 8.51/1.45 ![X0,X1,X2]: (midp(X0,X1,X2)|~spl0_600)),
% 8.51/1.45 inference(forward_subsumption_resolution,[status(thm)],[f14638,f14502])).
% 8.51/1.45 fof(f14670,plain,(
% 8.51/1.45 ![X0,X1,X2]: (cong(X0,X1,X2,X1)|~spl0_600)),
% 8.51/1.45 inference(backward_subsumption_resolution,[status(thm)],[f775,f14639])).
% 8.51/1.45 fof(f14749,plain,(
% 8.51/1.45 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|perp(X0,X2,X3,X1)|~spl0_600)),
% 8.51/1.45 inference(backward_subsumption_resolution,[status(thm)],[f232,f14670])).
% 8.51/1.45 fof(f14750,plain,(
% 8.51/1.45 ![X0,X1,X2,X3]: (perp(X0,X1,X2,X3)|~spl0_600)),
% 8.51/1.45 inference(forward_subsumption_resolution,[status(thm)],[f14749,f14670])).
% 8.51/1.45 fof(f14852,plain,(
% 8.51/1.45 $false|~spl0_600),
% 8.51/1.45 inference(backward_subsumption_resolution,[status(thm)],[f384,f14750])).
% 8.51/1.45 fof(f14853,plain,(
% 8.51/1.45 ~spl0_600),
% 8.51/1.45 inference(contradiction_clause,[status(thm)],[f14852])).
% 8.51/1.45 fof(f14854,plain,(
% 8.51/1.45 $false),
% 8.51/1.45 inference(sat_refutation,[status(thm)],[f11674,f11916,f14853])).
% 8.51/1.45 % SZS output end CNFRefutation for theBenchmark.p
% 9.26/1.48 % Elapsed time: 1.206193 seconds
% 9.26/1.48 % CPU time: 9.363453 seconds
% 9.26/1.48 % Memory used: 129.706 MB
%------------------------------------------------------------------------------