TSTP Solution File: SWV047+1 by Metis---2.4

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%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SWV047+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Wed Jul 20 20:29:57 EDT 2022

% Result   : Theorem 0.18s 0.57s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    8 (   4 unt;   0 def)
%            Number of atoms       :   24 (   8 equ)
%            Maximal formula atoms :    5 (   3 avg)
%            Number of connectives :   18 (   2   ~;   0   |;  13   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   2 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;  12 con; 0-3 aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ttrue,axiom,
    true ).

fof(cl5_nebula_norm_0013,conjecture,
    ( ( pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
      & pv82 = sum(n0,minus(n135300,n1),times(minus(a_select2(x,pv83),a_select2(mu,pv35)),times(minus(a_select2(x,pv83),a_select2(mu,pv35)),a_select3(q,pv83,pv35))))
      & leq(n0,pv35)
      & leq(pv35,minus(n5,n1)) )
   => true ) ).

fof(subgoal_0,plain,
    ( ( pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
      & pv82 = sum(n0,minus(n135300,n1),times(minus(a_select2(x,pv83),a_select2(mu,pv35)),times(minus(a_select2(x,pv83),a_select2(mu,pv35)),a_select3(q,pv83,pv35))))
      & leq(n0,pv35)
      & leq(pv35,minus(n5,n1)) )
   => true ),
    inference(strip,[],[cl5_nebula_norm_0013]) ).

fof(negate_0_0,plain,
    ~ ( ( pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
        & pv82 = sum(n0,minus(n135300,n1),times(minus(a_select2(x,pv83),a_select2(mu,pv35)),times(minus(a_select2(x,pv83),a_select2(mu,pv35)),a_select3(q,pv83,pv35))))
        & leq(n0,pv35)
        & leq(pv35,minus(n5,n1)) )
     => true ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ( ~ true
    & pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
    & pv82 = sum(n0,minus(n135300,n1),times(minus(a_select2(x,pv83),a_select2(mu,pv35)),times(minus(a_select2(x,pv83),a_select2(mu,pv35)),a_select3(q,pv83,pv35))))
    & leq(n0,pv35)
    & leq(pv35,minus(n5,n1)) ),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_1,plain,
    true,
    inference(canonicalize,[],[ttrue]) ).

fof(normalize_0_2,plain,
    $false,
    inference(simplify,[],[normalize_0_0,normalize_0_1]) ).

cnf(refute_0_0,plain,
    $false,
    inference(canonicalize,[],[normalize_0_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV047+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.13  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n003.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Wed Jun 15 18:45:26 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.57  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.57  
% 0.18/0.57  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.18/0.57  
%------------------------------------------------------------------------------