%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO222+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:26:10 PM UTC 2026
% Result : Theorem 3.25s 0.85s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO222+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.35 % Computer : n007.cluster.edu
% 0.06/0.35 % Model : x86_64 x86_64
% 0.06/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.35 % Memory : 8046.5625MB
% 0.06/0.35 % OS : Linux 6.8.0-71-generic
% 0.06/0.35 % CPULimit : 300
% 0.06/0.35 % WCLimit : 300
% 0.06/0.35 % DateTime : Sun Sep 20 13:49:50 UTC 2026
% 0.06/0.36 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 3.25/0.85 % Refutation found
% 3.25/0.85 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.25/0.85 % SZS output start CNFRefutation for theBenchmark
% 3.25/0.85 fof(f1,axiom,(
% 3.25/0.85 (! [X] : ~ distinct_points(X,X) )),
% 3.25/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.25/0.85 fof(f3,axiom,(
% 3.25/0.85 (! [X] : ~ convergent_lines(X,X) )),
% 3.25/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.25/0.85 fof(f6,axiom,(
% 3.25/0.85 (! [X,Y,Z] :( convergent_lines(X,Y)=> ( convergent_lines(X,Z)| convergent_lines(Y,Z) ) ) )),
% 3.25/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.25/0.85 fof(f8,axiom,(
% 3.25/0.85 (! [X,Y,Z] :( convergent_lines(X,Y)=> ( ( apart_point_and_line(Z,X)| apart_point_and_line(Z,Y) )=> distinct_points(Z,intersection_point(X,Y)) ) ) )),
% 3.25/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.25/0.85 fof(f12,axiom,(
% 3.25/0.85 (! [X,Y] :( convergent_lines(X,Y)=> distinct_lines(X,Y) ) )),
% 3.25/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.25/0.85 fof(f16,axiom,(
% 3.25/0.85 (! [L,M] :( convergent_lines(L,M)| unorthogonal_lines(L,M) ) )),
% 3.25/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.25/0.85 fof(f17,axiom,(
% 3.25/0.85 (! [L,M,N] :( ( convergent_lines(L,M)& unorthogonal_lines(L,M) )=> ( ( convergent_lines(L,N)& unorthogonal_lines(L,N) )| ( convergent_lines(M,N)& unorthogonal_lines(M,N) ) ) ) )),
% 3.25/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.25/0.85 fof(f18,axiom,(
% 3.25/0.85 (! [A,L] : ~ unorthogonal_lines(orthogonal_through_point(L,A),L) )),
% 3.25/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.25/0.85 fof(f20,axiom,(
% 3.25/0.85 (! [A,L,M,N] :( distinct_lines(L,M)=> ( apart_point_and_line(A,L)| apart_point_and_line(A,M)| unorthogonal_lines(L,N)| unorthogonal_lines(M,N) ) ) )),
% 3.25/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.25/0.85 fof(f21,conjecture,(
% 3.25/0.85 (! [A,L] : ~ convergent_lines(L,orthogonal_through_point(orthogonal_through_point(L,A),A)) )),
% 3.25/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.25/0.85 fof(f22,negated_conjecture,(
% 3.25/0.85 ~((! [A,L] : ~ convergent_lines(L,orthogonal_through_point(orthogonal_through_point(L,A),A)) ))),
% 3.25/0.85 inference(negated_conjecture,[status(cth)],[f21])).
% 3.25/0.85 fof(f23,plain,(
% 3.25/0.85 ![X0]: (~distinct_points(X0,X0))),
% 3.25/0.85 inference(cnf_transformation,[status(thm)],[f1])).
% 3.25/0.85 fof(f25,plain,(
% 3.25/0.85 ![X0]: (~convergent_lines(X0,X0))),
% 3.25/0.85 inference(cnf_transformation,[status(thm)],[f3])).
% 3.25/0.85 fof(f32,plain,(
% 3.25/0.85 ![X,Y,Z]: (~convergent_lines(X,Y)|(convergent_lines(X,Z)|convergent_lines(Y,Z)))),
% 3.25/0.85 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 3.25/0.85 fof(f33,plain,(
% 3.25/0.85 ![X,Y]: (~convergent_lines(X,Y)|(![Z]: (convergent_lines(X,Z)|convergent_lines(Y,Z))))),
% 3.25/0.85 inference(miniscoping,[status(thm)],[f32])).
% 3.25/0.85 fof(f34,plain,(
% 3.25/0.85 ![X0,X1,X2]: (~convergent_lines(X0,X1)|convergent_lines(X0,X2)|convergent_lines(X1,X2))),
% 3.25/0.85 inference(cnf_transformation,[status(thm)],[f33])).
% 3.25/0.85 fof(f39,plain,(
% 3.25/0.85 ![X,Y,Z]: (~convergent_lines(X,Y)|((~apart_point_and_line(Z,X)&~apart_point_and_line(Z,Y))|distinct_points(Z,intersection_point(X,Y))))),
% 3.25/0.85 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 3.25/0.85 fof(f40,plain,(
% 3.25/0.85 ![X,Y]: (~convergent_lines(X,Y)|(![Z]: ((~apart_point_and_line(Z,X)&~apart_point_and_line(Z,Y))|distinct_points(Z,intersection_point(X,Y)))))),
% 3.25/0.85 inference(miniscoping,[status(thm)],[f39])).
% 3.25/0.85 fof(f41,plain,(
% 3.25/0.85 ![X0,X1,X2]: (~convergent_lines(X0,X1)|~apart_point_and_line(X2,X0)|distinct_points(X2,intersection_point(X0,X1)))),
% 3.25/0.85 inference(cnf_transformation,[status(thm)],[f40])).
% 3.25/0.85 fof(f42,plain,(
% 3.25/0.85 ![X0,X1,X2]: (~convergent_lines(X0,X1)|~apart_point_and_line(X2,X1)|distinct_points(X2,intersection_point(X0,X1)))),
% 3.25/0.85 inference(cnf_transformation,[status(thm)],[f40])).
% 3.25/0.85 fof(f51,plain,(
% 3.25/0.85 ![X,Y]: (~convergent_lines(X,Y)|distinct_lines(X,Y))),
% 3.25/0.85 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 3.25/0.85 fof(f52,plain,(
% 3.25/0.85 ![X0,X1]: (~convergent_lines(X0,X1)|distinct_lines(X0,X1))),
% 3.25/0.85 inference(cnf_transformation,[status(thm)],[f51])).
% 3.25/0.85 fof(f58,plain,(
% 3.25/0.85 ![X0,X1]: (convergent_lines(X0,X1)|unorthogonal_lines(X0,X1))),
% 3.25/0.85 inference(cnf_transformation,[status(thm)],[f16])).
% 3.25/0.85 fof(f59,plain,(
% 3.25/0.85 ![L,M,N]: ((~convergent_lines(L,M)|~unorthogonal_lines(L,M))|((convergent_lines(L,N)&unorthogonal_lines(L,N))|(convergent_lines(M,N)&unorthogonal_lines(M,N))))),
% 3.25/0.85 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 3.25/0.85 fof(f60,definition,(
% 3.25/0.85 ![L,N]: (sP0_prd(N,L)<=>(convergent_lines(L,N)&unorthogonal_lines(L,N)))),
% 3.25/0.85 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 3.25/0.85 fof(f61,plain,(
% 3.25/0.85 ![L,M,N]: ((~convergent_lines(L,M)|~unorthogonal_lines(L,M))|(sP0_prd(N,L)|(convergent_lines(M,N)&unorthogonal_lines(M,N))))),
% 3.25/0.85 inference(formula_renaming,[status(thm)],[f59,f60])).
% 3.25/0.85 fof(f62,plain,(
% 3.25/0.85 ![L,M]: ((~convergent_lines(L,M)|~unorthogonal_lines(L,M))|(![N]: (sP0_prd(N,L)|(convergent_lines(M,N)&unorthogonal_lines(M,N)))))),
% 3.25/0.85 inference(miniscoping,[status(thm)],[f61])).
% 3.25/0.85 fof(f64,plain,(
% 3.25/0.85 ![X0,X1,X2]: (~convergent_lines(X0,X1)|~unorthogonal_lines(X0,X1)|sP0_prd(X2,X0)|unorthogonal_lines(X1,X2))),
% 3.25/0.85 inference(cnf_transformation,[status(thm)],[f62])).
% 3.25/0.85 fof(f65,plain,(
% 3.25/0.85 ![X0,X1]: (~unorthogonal_lines(orthogonal_through_point(X0,X1),X0))),
% 3.25/0.85 inference(cnf_transformation,[status(thm)],[f18])).
% 3.25/0.85 fof(f67,plain,(
% 3.25/0.85 ![A,L,M,N]: (~distinct_lines(L,M)|(((apart_point_and_line(A,L)|apart_point_and_line(A,M))|unorthogonal_lines(L,N))|unorthogonal_lines(M,N)))),
% 3.25/0.85 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 3.25/0.85 fof(f68,plain,(
% 3.25/0.85 ![L,M]: (~distinct_lines(L,M)|(![N]: (((![A]: (apart_point_and_line(A,L)|apart_point_and_line(A,M)))|unorthogonal_lines(L,N))|unorthogonal_lines(M,N))))),
% 3.25/0.85 inference(miniscoping,[status(thm)],[f67])).
% 3.25/0.85 fof(f69,plain,(
% 3.25/0.85 ![X0,X1,X2,X3]: (~distinct_lines(X0,X1)|apart_point_and_line(X2,X0)|apart_point_and_line(X2,X1)|unorthogonal_lines(X0,X3)|unorthogonal_lines(X1,X3))),
% 3.25/0.85 inference(cnf_transformation,[status(thm)],[f68])).
% 3.25/0.85 fof(f70,plain,(
% 3.25/0.85 (?[A,L]: convergent_lines(L,orthogonal_through_point(orthogonal_through_point(L,A),A)))),
% 3.25/0.85 inference(pre_NNF_transformation,[status(thm)],[f22])).
% 3.25/0.85 fof(f71,plain,(
% 3.25/0.85 convergent_lines(sK1_skl,orthogonal_through_point(orthogonal_through_point(sK1_skl,sK0_skl),sK0_skl))),
% 3.25/0.85 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(A,sK0_skl),skolemize(L,sK1_skl)],[f70])).
% 3.25/0.85 fof(f72,plain,(
% 3.25/0.85 convergent_lines(sK1_skl,orthogonal_through_point(orthogonal_through_point(sK1_skl,sK0_skl),sK0_skl))),
% 3.25/0.85 inference(cnf_transformation,[status(thm)],[f71])).
% 3.25/0.85 fof(f73,plain,(
% 3.25/0.85 ![L,N]: ((~sP0_prd(N,L)|(convergent_lines(L,N)&unorthogonal_lines(L,N)))&(sP0_prd(N,L)|(~convergent_lines(L,N)|~unorthogonal_lines(L,N))))),
% 3.25/0.85 inference(NNF_transformation,[status(thm)],[f60])).
% 3.25/0.85 fof(f74,plain,(
% 3.25/0.85 (![L,N]: (~sP0_prd(N,L)|(convergent_lines(L,N)&unorthogonal_lines(L,N))))&(![L,N]: (sP0_prd(N,L)|(~convergent_lines(L,N)|~unorthogonal_lines(L,N))))),
% 3.25/0.85 inference(miniscoping,[status(thm)],[f73])).
% 3.25/0.85 fof(f75,plain,(
% 3.25/0.85 ![X0,X1]: (~sP0_prd(X0,X1)|convergent_lines(X1,X0))),
% 3.25/0.85 inference(cnf_transformation,[status(thm)],[f74])).
% 3.25/0.85 fof(f78,plain,(
% 3.25/0.85 distinct_lines(sK1_skl,orthogonal_through_point(orthogonal_through_point(sK1_skl,sK0_skl),sK0_skl))),
% 3.25/0.85 inference(resolution,[status(thm)],[f52,f72])).
% 3.25/0.85 fof(f79,plain,(
% 3.25/0.85 ![X0]: (~apart_point_and_line(X0,sK1_skl)|distinct_points(X0,intersection_point(sK1_skl,orthogonal_through_point(orthogonal_through_point(sK1_skl,sK0_skl),sK0_skl))))),
% 3.25/0.85 inference(resolution,[status(thm)],[f41,f72])).
% 3.25/0.85 fof(f80,plain,(
% 3.25/0.85 ![X0]: (~apart_point_and_line(X0,orthogonal_through_point(orthogonal_through_point(sK1_skl,sK0_skl),sK0_skl))|distinct_points(X0,intersection_point(sK1_skl,orthogonal_through_point(orthogonal_through_point(sK1_skl,sK0_skl),sK0_skl))))),
% 3.25/0.85 inference(resolution,[status(thm)],[f42,f72])).
% 3.25/0.85 fof(f150,definition,(
% 3.25/0.85 sQ9_spl <=> (convergent_lines(sK1_skl,sK1_skl))),
% 3.25/0.85 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 3.25/0.85 fof(f151,plain,(
% 3.25/0.85 convergent_lines(sK1_skl,sK1_skl)|~sQ9_spl),
% 3.25/0.85 inference(component_clause,[status(thm)],[f150])).
% 3.25/0.85 fof(f480,plain,(
% 3.25/0.85 ![X0,X1]: (convergent_lines(orthogonal_through_point(X0,X1),X0))),
% 3.25/0.85 inference(resolution,[status(thm)],[f58,f65])).
% 3.25/0.85 fof(f508,definition,(
% 3.25/0.85 ![X0]: (sQ22_spl <=> (apart_point_and_line(X0,sK1_skl)|apart_point_and_line(X0,orthogonal_through_point(orthogonal_through_point(sK1_skl,sK0_skl),sK0_skl))))),
% 3.25/0.85 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 3.25/0.85 fof(f509,plain,(
% 3.25/0.85 ![X0]: (apart_point_and_line(X0,sK1_skl)|apart_point_and_line(X0,orthogonal_through_point(orthogonal_through_point(sK1_skl,sK0_skl),sK0_skl))|~sQ22_spl)),
% 3.25/0.85 inference(component_clause,[status(thm)],[f508])).
% 3.25/0.85 fof(f522,plain,(
% 3.25/0.85 ![X0,X1]: (apart_point_and_line(X0,sK1_skl)|apart_point_and_line(X0,orthogonal_through_point(orthogonal_through_point(sK1_skl,sK0_skl),sK0_skl))|unorthogonal_lines(sK1_skl,X1)|unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(sK1_skl,sK0_skl),sK0_skl),X1))),
% 3.25/0.85 inference(resolution,[status(thm)],[f69,f78])).
% 3.25/0.85 fof(f527,definition,(
% 3.25/0.85 ![X1]: (sQ23_spl <=> (unorthogonal_lines(sK1_skl,X1)|unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(sK1_skl,sK0_skl),sK0_skl),X1)))),
% 3.25/0.85 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 3.25/0.85 fof(f528,plain,(
% 3.25/0.85 ![X0]: (unorthogonal_lines(sK1_skl,X0)|unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(sK1_skl,sK0_skl),sK0_skl),X0)|~sQ23_spl)),
% 3.25/0.85 inference(component_clause,[status(thm)],[f527])).
% 3.25/0.85 fof(f530,plain,(
% 3.25/0.85 sQ22_spl|sQ23_spl),
% 3.25/0.85 inference(split_clause,[status(thm)],[f522,f508,f527])).
% 3.25/0.85 fof(f609,plain,(
% 3.25/0.85 unorthogonal_lines(sK1_skl,orthogonal_through_point(sK1_skl,sK0_skl))|~sQ23_spl),
% 3.25/0.85 inference(resolution,[status(thm)],[f528,f65])).
% 3.25/0.85 fof(f1358,plain,(
% 3.25/0.85 ![X0,X1,X2]: (convergent_lines(orthogonal_through_point(X0,X1),X2)|convergent_lines(X0,X2))),
% 3.25/0.85 inference(resolution,[status(thm)],[f480,f34])).
% 3.25/0.85 fof(f1391,plain,(
% 3.25/0.85 ![X0]: (~convergent_lines(sK1_skl,orthogonal_through_point(sK1_skl,sK0_skl))|sP0_prd(X0,sK1_skl)|unorthogonal_lines(orthogonal_through_point(sK1_skl,sK0_skl),X0)|~sQ23_spl)),
% 3.25/0.85 inference(resolution,[status(thm)],[f609,f64])).
% 3.25/0.85 fof(f1394,definition,(
% 3.25/0.85 sQ96_spl <=> (convergent_lines(sK1_skl,orthogonal_through_point(sK1_skl,sK0_skl)))),
% 3.25/0.85 introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition])).
% 3.25/0.85 fof(f1396,plain,(
% 3.25/0.85 ~convergent_lines(sK1_skl,orthogonal_through_point(sK1_skl,sK0_skl))|sQ96_spl),
% 3.25/0.86 inference(component_clause,[status(thm)],[f1394])).
% 3.25/0.86 fof(f1397,definition,(
% 3.25/0.86 ![X0]: (sQ97_spl <=> (sP0_prd(X0,sK1_skl)|unorthogonal_lines(orthogonal_through_point(sK1_skl,sK0_skl),X0)))),
% 3.25/0.86 introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition])).
% 3.25/0.86 fof(f1398,plain,(
% 3.25/0.86 ![X0]: (sP0_prd(X0,sK1_skl)|unorthogonal_lines(orthogonal_through_point(sK1_skl,sK0_skl),X0)|~sQ97_spl)),
% 3.25/0.86 inference(component_clause,[status(thm)],[f1397])).
% 3.25/0.86 fof(f1400,plain,(
% 3.25/0.86 ~sQ96_spl|sQ97_spl|~sQ23_spl),
% 3.25/0.86 inference(split_clause,[status(thm)],[f1391,f1394,f1397,f527])).
% 3.25/0.86 fof(f1414,plain,(
% 3.25/0.86 $false|~sQ9_spl),
% 3.25/0.86 inference(forward_subsumption_resolution,[status(thm)],[f151,f25])).
% 3.25/0.86 fof(f1415,plain,(
% 3.25/0.86 ~sQ9_spl),
% 3.25/0.86 inference(contradiction_clause,[status(thm)],[f1414])).
% 3.25/0.86 fof(f1470,plain,(
% 3.25/0.86 ![X0,X1,X2,X3]: (convergent_lines(X0,X1)|convergent_lines(orthogonal_through_point(X0,X2),X3)|convergent_lines(X1,X3))),
% 3.25/0.86 inference(resolution,[status(thm)],[f1358,f34])).
% 3.25/0.86 fof(f1506,plain,(
% 3.25/0.86 ![X0,X1,X2]: (convergent_lines(X0,X1)|convergent_lines(X1,orthogonal_through_point(X0,X2)))),
% 3.25/0.86 inference(resolution,[status(thm)],[f1470,f25])).
% 3.25/0.86 fof(f1516,plain,(
% 3.25/0.86 convergent_lines(sK1_skl,sK1_skl)|sQ96_spl),
% 3.25/0.86 inference(resolution,[status(thm)],[f1506,f1396])).
% 3.25/0.86 fof(f1523,plain,(
% 3.25/0.86 sQ9_spl|sQ96_spl),
% 3.25/0.86 inference(split_clause,[status(thm)],[f1516,f150,f1394])).
% 3.25/0.86 fof(f1672,plain,(
% 3.25/0.86 ![X0]: (apart_point_and_line(X0,sK1_skl)|distinct_points(X0,intersection_point(sK1_skl,orthogonal_through_point(orthogonal_through_point(sK1_skl,sK0_skl),sK0_skl)))|~sQ22_spl)),
% 3.25/0.86 inference(resolution,[status(thm)],[f509,f80])).
% 3.25/0.86 fof(f1679,plain,(
% 3.25/0.86 ![X0]: (distinct_points(X0,intersection_point(sK1_skl,orthogonal_through_point(orthogonal_through_point(sK1_skl,sK0_skl),sK0_skl)))|~sQ22_spl)),
% 3.25/0.86 inference(forward_subsumption_resolution,[status(thm)],[f1672,f79])).
% 3.25/0.86 fof(f2225,plain,(
% 3.25/0.86 $false|~sQ22_spl),
% 3.25/0.86 inference(resolution,[status(thm)],[f1679,f23])).
% 3.25/0.86 fof(f2233,plain,(
% 3.25/0.86 ~sQ22_spl),
% 3.25/0.86 inference(contradiction_clause,[status(thm)],[f2225])).
% 3.25/0.87 fof(f2261,plain,(
% 3.25/0.87 sP0_prd(sK1_skl,sK1_skl)|~sQ97_spl),
% 3.25/0.87 inference(resolution,[status(thm)],[f1398,f65])).
% 3.25/0.87 fof(f3018,plain,(
% 3.25/0.87 convergent_lines(sK1_skl,sK1_skl)|~sQ97_spl),
% 3.25/0.87 inference(resolution,[status(thm)],[f2261,f75])).
% 3.25/0.87 fof(f3019,plain,(
% 3.25/0.87 sQ9_spl|~sQ97_spl),
% 3.25/0.87 inference(split_clause,[status(thm)],[f3018,f150,f1397])).
% 3.25/0.87 fof(f3020,plain,(
% 3.25/0.87 $false),
% 3.25/0.87 inference(sat_refutation,[status(thm)],[f530,f1400,f1415,f1523,f2233,f3019])).
% 3.25/0.87 % SZS output end CNFRefutation for theBenchmark.p
% 3.25/0.88 % Elapsed time: 0.510677 seconds
% 3.25/0.88 % CPU time: 3.761592 seconds
% 3.25/0.88 % Total memory used: 51.928 MB
% 3.25/0.88 % Net memory used: 42.017 MB
%------------------------------------------------------------------------------