TSTP Solution File: SWC219+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC219+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n025.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 12:39:43 EDT 2023
% Result : Theorem 0.16s 0.52s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : SWC219+1 : TPTP v8.1.2. Released v2.4.0.
% 0.05/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n025.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue May 30 11:31:27 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % Drodi V3.5.1
% 0.16/0.52 % Refutation found
% 0.16/0.52 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.52 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.52 fof(f17,axiom,(
% 0.16/0.52 ssList(nil) ),
% 0.16/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.52 fof(f28,axiom,(
% 0.16/0.52 (! [U] :( ssList(U)=> app(nil,U) = U ) )),
% 0.16/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.52 fof(f38,axiom,(
% 0.16/0.52 (! [U] :( ssItem(U)=> ~ memberP(nil,U) ) )),
% 0.16/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.52 fof(f84,axiom,(
% 0.16/0.52 (! [U] :( ssList(U)=> app(U,nil) = U ) )),
% 0.16/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.52 fof(f96,conjecture,(
% 0.16/0.52 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| nil = U| (? [Y] :( ssItem(Y)& (? [Z] :( ssList(Z)& (? [X1] :( ssList(X1)& app(app(Z,cons(Y,nil)),X1) = U& (! [X2] :( ssItem(X2)=> ( ~ memberP(Z,X2)| ~ memberP(X1,X2)| ~ leq(Y,X2)| leq(X2,Y) ) ) )) )) )))| ( (! [X3] :( ssItem(X3)=> ( cons(X3,nil) != W| ~ memberP(X,X3)| (? [X4] :( ssItem(X4)& X3 != X4& memberP(X,X4)& leq(X4,X3) ) )) ))& ( nil != X| nil != W ) ) ) ) )) )) )) )),
% 0.16/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.52 fof(f97,negated_conjecture,(
% 0.16/0.52 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| nil = U| (? [Y] :( ssItem(Y)& (? [Z] :( ssList(Z)& (? [X1] :( ssList(X1)& app(app(Z,cons(Y,nil)),X1) = U& (! [X2] :( ssItem(X2)=> ( ~ memberP(Z,X2)| ~ memberP(X1,X2)| ~ leq(Y,X2)| leq(X2,Y) ) ) )) )) )))| ( (! [X3] :( ssItem(X3)=> ( cons(X3,nil) != W| ~ memberP(X,X3)| (? [X4] :( ssItem(X4)& X3 != X4& memberP(X,X4)& leq(X4,X3) ) )) ))& ( nil != X| nil != W ) ) ) ) )) )) )) ))),
% 0.16/0.52 inference(negated_conjecture,[status(cth)],[f96])).
% 0.16/0.52 fof(f223,plain,(
% 0.16/0.52 ssList(nil)),
% 0.16/0.52 inference(cnf_transformation,[status(esa)],[f17])).
% 0.16/0.52 fof(f248,plain,(
% 0.16/0.52 ![U]: (~ssList(U)|app(nil,U)=U)),
% 0.16/0.52 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 0.16/0.52 fof(f249,plain,(
% 0.16/0.52 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.16/0.52 inference(cnf_transformation,[status(esa)],[f248])).
% 0.16/0.52 fof(f278,plain,(
% 0.16/0.52 ![U]: (~ssItem(U)|~memberP(nil,U))),
% 0.16/0.52 inference(pre_NNF_transformation,[status(esa)],[f38])).
% 0.16/0.52 fof(f279,plain,(
% 0.16/0.52 ![X0]: (~ssItem(X0)|~memberP(nil,X0))),
% 0.16/0.52 inference(cnf_transformation,[status(esa)],[f278])).
% 0.16/0.52 fof(f388,plain,(
% 0.16/0.52 ![U]: (~ssList(U)|app(U,nil)=U)),
% 0.16/0.52 inference(pre_NNF_transformation,[status(esa)],[f84])).
% 0.16/0.52 fof(f389,plain,(
% 0.16/0.52 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.16/0.52 inference(cnf_transformation,[status(esa)],[f388])).
% 0.16/0.52 fof(f415,plain,(
% 0.16/0.52 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((V=X&U=W)&~nil=U)&(![Y]: (~ssItem(Y)|(![Z]: (~ssList(Z)|(![X1]: ((~ssList(X1)|~app(app(Z,cons(Y,nil)),X1)=U)|(?[X2]: (ssItem(X2)&(((memberP(Z,X2)&memberP(X1,X2))&leq(Y,X2))&~leq(X2,Y)))))))))))&((?[X3]: (ssItem(X3)&((cons(X3,nil)=W&memberP(X,X3))&(![X4]: (((~ssItem(X4)|X3=X4)|~memberP(X,X4))|~leq(X4,X3))))))|(nil=X&nil=W)))))))))))),
% 0.16/0.52 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 0.16/0.52 fof(f416,plain,(
% 0.16/0.52 ![W,X,X3]: (pd0_0(X3,X,W)=>(ssItem(X3)&((cons(X3,nil)=W&memberP(X,X3))&(![X4]: (((~ssItem(X4)|X3=X4)|~memberP(X,X4))|~leq(X4,X3))))))),
% 0.16/0.52 introduced(predicate_definition,[f415])).
% 0.16/0.52 fof(f417,plain,(
% 0.16/0.52 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((V=X&U=W)&~nil=U)&(![Y]: (~ssItem(Y)|(![Z]: (~ssList(Z)|(![X1]: ((~ssList(X1)|~app(app(Z,cons(Y,nil)),X1)=U)|(?[X2]: (ssItem(X2)&(((memberP(Z,X2)&memberP(X1,X2))&leq(Y,X2))&~leq(X2,Y)))))))))))&((?[X3]: pd0_0(X3,X,W))|(nil=X&nil=W))))))))))),
% 0.16/0.52 inference(formula_renaming,[status(thm)],[f415,f416])).
% 0.16/0.52 fof(f418,plain,(
% 0.16/0.52 (ssList(sk0_47)&(ssList(sk0_48)&(ssList(sk0_49)&(ssList(sk0_50)&((((sk0_48=sk0_50&sk0_47=sk0_49)&~nil=sk0_47)&(![Y]: (~ssItem(Y)|(![Z]: (~ssList(Z)|(![X1]: ((~ssList(X1)|~app(app(Z,cons(Y,nil)),X1)=sk0_47)|(ssItem(sk0_51(X1,Z,Y))&(((memberP(Z,sk0_51(X1,Z,Y))&memberP(X1,sk0_51(X1,Z,Y)))&leq(Y,sk0_51(X1,Z,Y)))&~leq(sk0_51(X1,Z,Y),Y))))))))))&(pd0_0(sk0_52,sk0_50,sk0_49)|(nil=sk0_50&nil=sk0_49)))))))),
% 0.16/0.52 inference(skolemization,[status(esa)],[f417])).
% 0.16/0.52 fof(f419,plain,(
% 0.16/0.52 ssList(sk0_47)),
% 0.16/0.52 inference(cnf_transformation,[status(esa)],[f418])).
% 0.16/0.52 fof(f423,plain,(
% 0.16/0.52 sk0_48=sk0_50),
% 0.16/0.52 inference(cnf_transformation,[status(esa)],[f418])).
% 0.16/0.52 fof(f424,plain,(
% 0.16/0.52 sk0_47=sk0_49),
% 0.16/0.52 inference(cnf_transformation,[status(esa)],[f418])).
% 0.16/0.52 fof(f425,plain,(
% 0.16/0.52 ~nil=sk0_47),
% 0.16/0.52 inference(cnf_transformation,[status(esa)],[f418])).
% 0.16/0.52 fof(f426,plain,(
% 0.16/0.52 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk0_47|ssItem(sk0_51(X2,X1,X0)))),
% 0.16/0.52 inference(cnf_transformation,[status(esa)],[f418])).
% 0.16/0.52 fof(f427,plain,(
% 0.16/0.52 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk0_47|memberP(X1,sk0_51(X2,X1,X0)))),
% 0.16/0.52 inference(cnf_transformation,[status(esa)],[f418])).
% 0.16/0.52 fof(f432,plain,(
% 0.16/0.52 pd0_0(sk0_52,sk0_50,sk0_49)|nil=sk0_49),
% 0.16/0.52 inference(cnf_transformation,[status(esa)],[f418])).
% 0.16/0.52 fof(f433,plain,(
% 0.16/0.52 ![W,X,X3]: (~pd0_0(X3,X,W)|(ssItem(X3)&((cons(X3,nil)=W&memberP(X,X3))&(![X4]: (((~ssItem(X4)|X3=X4)|~memberP(X,X4))|~leq(X4,X3))))))),
% 0.16/0.52 inference(pre_NNF_transformation,[status(esa)],[f416])).
% 0.16/0.52 fof(f434,plain,(
% 0.16/0.52 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|ssItem(X0))),
% 0.16/0.52 inference(cnf_transformation,[status(esa)],[f433])).
% 0.16/0.52 fof(f435,plain,(
% 0.16/0.52 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|cons(X0,nil)=X2)),
% 0.16/0.52 inference(cnf_transformation,[status(esa)],[f433])).
% 0.16/0.52 fof(f438,plain,(
% 0.16/0.52 spl0_0 <=> pd0_0(sk0_52,sk0_50,sk0_49)),
% 0.16/0.52 introduced(split_symbol_definition)).
% 0.16/0.52 fof(f439,plain,(
% 0.16/0.52 pd0_0(sk0_52,sk0_50,sk0_49)|~spl0_0),
% 0.16/0.52 inference(component_clause,[status(thm)],[f438])).
% 0.16/0.52 fof(f445,plain,(
% 0.16/0.52 spl0_2 <=> nil=sk0_49),
% 0.16/0.52 introduced(split_symbol_definition)).
% 0.16/0.52 fof(f446,plain,(
% 0.16/0.52 nil=sk0_49|~spl0_2),
% 0.16/0.52 inference(component_clause,[status(thm)],[f445])).
% 0.16/0.52 fof(f448,plain,(
% 0.16/0.52 spl0_0|spl0_2),
% 0.16/0.52 inference(split_clause,[status(thm)],[f432,f438,f445])).
% 0.16/0.52 fof(f479,plain,(
% 0.16/0.52 pd0_0(sk0_52,sk0_48,sk0_49)|~spl0_0),
% 0.16/0.52 inference(forward_demodulation,[status(thm)],[f423,f439])).
% 0.16/0.52 fof(f480,plain,(
% 0.16/0.52 pd0_0(sk0_52,sk0_48,sk0_47)|~spl0_0),
% 0.16/0.52 inference(forward_demodulation,[status(thm)],[f424,f479])).
% 0.16/0.52 fof(f485,plain,(
% 0.16/0.52 ssItem(sk0_52)|~spl0_0),
% 0.16/0.52 inference(resolution,[status(thm)],[f480,f434])).
% 0.16/0.52 fof(f486,plain,(
% 0.16/0.52 cons(sk0_52,nil)=sk0_47|~spl0_0),
% 0.16/0.52 inference(resolution,[status(thm)],[f435,f480])).
% 0.16/0.52 fof(f487,plain,(
% 0.16/0.52 spl0_3 <=> ssItem(sk0_52)),
% 0.16/0.52 introduced(split_symbol_definition)).
% 0.16/0.52 fof(f489,plain,(
% 0.16/0.52 ~ssItem(sk0_52)|spl0_3),
% 0.16/0.52 inference(component_clause,[status(thm)],[f487])).
% 0.16/0.52 fof(f490,plain,(
% 0.16/0.52 spl0_4 <=> ~ssList(X0)|~ssList(X1)|~app(app(X0,sk0_47),X1)=sk0_47|ssItem(sk0_51(X1,X0,sk0_52))),
% 0.16/0.52 introduced(split_symbol_definition)).
% 0.16/0.52 fof(f491,plain,(
% 0.16/0.52 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~app(app(X0,sk0_47),X1)=sk0_47|ssItem(sk0_51(X1,X0,sk0_52))|~spl0_4)),
% 0.16/0.52 inference(component_clause,[status(thm)],[f490])).
% 0.16/0.52 fof(f493,plain,(
% 0.16/0.52 ![X0,X1]: (~ssItem(sk0_52)|~ssList(X0)|~ssList(X1)|~app(app(X0,sk0_47),X1)=sk0_47|ssItem(sk0_51(X1,X0,sk0_52))|~spl0_0)),
% 0.16/0.52 inference(paramodulation,[status(thm)],[f486,f426])).
% 0.16/0.52 fof(f494,plain,(
% 0.16/0.52 ~spl0_3|spl0_4|~spl0_0),
% 0.16/0.52 inference(split_clause,[status(thm)],[f493,f487,f490,f438])).
% 0.16/0.52 fof(f495,plain,(
% 0.16/0.52 $false|~spl0_0|spl0_3),
% 0.16/0.52 inference(forward_subsumption_resolution,[status(thm)],[f489,f485])).
% 0.16/0.52 fof(f496,plain,(
% 0.16/0.52 ~spl0_0|spl0_3),
% 0.16/0.52 inference(contradiction_clause,[status(thm)],[f495])).
% 0.16/0.52 fof(f498,plain,(
% 0.16/0.52 nil=sk0_47|~spl0_2),
% 0.16/0.52 inference(forward_demodulation,[status(thm)],[f424,f446])).
% 0.16/0.52 fof(f499,plain,(
% 0.16/0.52 $false|~spl0_2),
% 0.16/0.52 inference(forward_subsumption_resolution,[status(thm)],[f498,f425])).
% 0.16/0.52 fof(f500,plain,(
% 0.16/0.52 ~spl0_2),
% 0.16/0.52 inference(contradiction_clause,[status(thm)],[f499])).
% 0.16/0.52 fof(f506,plain,(
% 0.16/0.52 spl0_5 <=> ~ssList(X0)|~ssList(X1)|~app(app(X0,sk0_47),X1)=sk0_47|memberP(X0,sk0_51(X1,X0,sk0_52))),
% 0.16/0.52 introduced(split_symbol_definition)).
% 0.16/0.52 fof(f507,plain,(
% 0.16/0.52 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~app(app(X0,sk0_47),X1)=sk0_47|memberP(X0,sk0_51(X1,X0,sk0_52))|~spl0_5)),
% 0.16/0.52 inference(component_clause,[status(thm)],[f506])).
% 0.16/0.52 fof(f509,plain,(
% 0.16/0.52 ![X0,X1]: (~ssItem(sk0_52)|~ssList(X0)|~ssList(X1)|~app(app(X0,sk0_47),X1)=sk0_47|memberP(X0,sk0_51(X1,X0,sk0_52))|~spl0_0)),
% 0.16/0.52 inference(paramodulation,[status(thm)],[f486,f427])).
% 0.16/0.52 fof(f510,plain,(
% 0.16/0.52 ~spl0_3|spl0_5|~spl0_0),
% 0.16/0.53 inference(split_clause,[status(thm)],[f509,f487,f506,f438])).
% 0.16/0.53 fof(f540,plain,(
% 0.16/0.53 app(nil,sk0_47)=sk0_47),
% 0.16/0.53 inference(resolution,[status(thm)],[f249,f419])).
% 0.16/0.53 fof(f541,plain,(
% 0.16/0.53 spl0_11 <=> ssList(nil)),
% 0.16/0.53 introduced(split_symbol_definition)).
% 0.16/0.53 fof(f543,plain,(
% 0.16/0.53 ~ssList(nil)|spl0_11),
% 0.16/0.53 inference(component_clause,[status(thm)],[f541])).
% 0.16/0.53 fof(f559,plain,(
% 0.16/0.53 spl0_15 <=> ~ssList(X0)|~app(sk0_47,X0)=sk0_47|memberP(nil,sk0_51(X0,nil,sk0_52))),
% 0.16/0.53 introduced(split_symbol_definition)).
% 0.16/0.53 fof(f560,plain,(
% 0.16/0.53 ![X0]: (~ssList(X0)|~app(sk0_47,X0)=sk0_47|memberP(nil,sk0_51(X0,nil,sk0_52))|~spl0_15)),
% 0.16/0.53 inference(component_clause,[status(thm)],[f559])).
% 0.16/0.53 fof(f562,plain,(
% 0.16/0.53 ![X0]: (~ssList(nil)|~ssList(X0)|~app(sk0_47,X0)=sk0_47|memberP(nil,sk0_51(X0,nil,sk0_52))|~spl0_5)),
% 0.16/0.53 inference(paramodulation,[status(thm)],[f540,f507])).
% 0.16/0.53 fof(f563,plain,(
% 0.16/0.53 ~spl0_11|spl0_15|~spl0_5),
% 0.16/0.53 inference(split_clause,[status(thm)],[f562,f541,f559,f506])).
% 0.16/0.53 fof(f564,plain,(
% 0.16/0.53 spl0_16 <=> ~ssList(X0)|~app(sk0_47,X0)=sk0_47|ssItem(sk0_51(X0,nil,sk0_52))),
% 0.16/0.53 introduced(split_symbol_definition)).
% 0.16/0.53 fof(f565,plain,(
% 0.16/0.53 ![X0]: (~ssList(X0)|~app(sk0_47,X0)=sk0_47|ssItem(sk0_51(X0,nil,sk0_52))|~spl0_16)),
% 0.16/0.53 inference(component_clause,[status(thm)],[f564])).
% 0.16/0.53 fof(f567,plain,(
% 0.16/0.53 ![X0]: (~ssList(nil)|~ssList(X0)|~app(sk0_47,X0)=sk0_47|ssItem(sk0_51(X0,nil,sk0_52))|~spl0_4)),
% 0.16/0.53 inference(paramodulation,[status(thm)],[f540,f491])).
% 0.16/0.53 fof(f568,plain,(
% 0.16/0.53 ~spl0_11|spl0_16|~spl0_4),
% 0.16/0.53 inference(split_clause,[status(thm)],[f567,f541,f564,f490])).
% 0.16/0.53 fof(f569,plain,(
% 0.16/0.53 $false|spl0_11),
% 0.16/0.53 inference(forward_subsumption_resolution,[status(thm)],[f543,f223])).
% 0.16/0.53 fof(f570,plain,(
% 0.16/0.53 spl0_11),
% 0.16/0.53 inference(contradiction_clause,[status(thm)],[f569])).
% 0.16/0.53 fof(f572,plain,(
% 0.16/0.53 app(sk0_47,nil)=sk0_47),
% 0.16/0.53 inference(resolution,[status(thm)],[f389,f419])).
% 0.16/0.53 fof(f583,plain,(
% 0.16/0.53 spl0_19 <=> memberP(nil,sk0_51(nil,nil,sk0_52))),
% 0.16/0.53 introduced(split_symbol_definition)).
% 0.16/0.53 fof(f584,plain,(
% 0.16/0.53 memberP(nil,sk0_51(nil,nil,sk0_52))|~spl0_19),
% 0.16/0.53 inference(component_clause,[status(thm)],[f583])).
% 0.16/0.53 fof(f586,plain,(
% 0.16/0.53 ~ssList(nil)|memberP(nil,sk0_51(nil,nil,sk0_52))|~spl0_15),
% 0.16/0.53 inference(resolution,[status(thm)],[f572,f560])).
% 0.16/0.53 fof(f587,plain,(
% 0.16/0.53 ~spl0_11|spl0_19|~spl0_15),
% 0.16/0.53 inference(split_clause,[status(thm)],[f586,f541,f583,f559])).
% 0.16/0.53 fof(f590,plain,(
% 0.16/0.53 spl0_20 <=> ssItem(sk0_51(nil,nil,sk0_52))),
% 0.16/0.53 introduced(split_symbol_definition)).
% 0.16/0.53 fof(f591,plain,(
% 0.16/0.53 ssItem(sk0_51(nil,nil,sk0_52))|~spl0_20),
% 0.16/0.53 inference(component_clause,[status(thm)],[f590])).
% 0.16/0.53 fof(f593,plain,(
% 0.16/0.53 ~ssList(nil)|ssItem(sk0_51(nil,nil,sk0_52))|~spl0_16),
% 0.16/0.53 inference(resolution,[status(thm)],[f572,f565])).
% 0.16/0.53 fof(f594,plain,(
% 0.16/0.53 ~spl0_11|spl0_20|~spl0_16),
% 0.16/0.53 inference(split_clause,[status(thm)],[f593,f541,f590,f564])).
% 0.16/0.53 fof(f609,plain,(
% 0.16/0.53 ~ssItem(sk0_51(nil,nil,sk0_52))|~spl0_19),
% 0.16/0.53 inference(resolution,[status(thm)],[f584,f279])).
% 0.16/0.53 fof(f610,plain,(
% 0.16/0.53 $false|~spl0_20|~spl0_19),
% 0.16/0.53 inference(forward_subsumption_resolution,[status(thm)],[f609,f591])).
% 0.16/0.53 fof(f611,plain,(
% 0.16/0.53 ~spl0_20|~spl0_19),
% 0.16/0.53 inference(contradiction_clause,[status(thm)],[f610])).
% 0.16/0.53 fof(f612,plain,(
% 0.16/0.53 $false),
% 0.16/0.53 inference(sat_refutation,[status(thm)],[f448,f494,f496,f500,f510,f563,f568,f570,f587,f594,f611])).
% 0.16/0.53 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.55 % Elapsed time: 0.226689 seconds
% 0.16/0.55 % CPU time: 0.969578 seconds
% 0.16/0.55 % Memory used: 71.506 MB
%------------------------------------------------------------------------------