TSTP Solution File: SWV132+1 by Metis---2.4

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%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SWV132+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n015.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 20:30:13 EDT 2022

% Result   : Theorem 0.41s 0.59s
% Output   : CNFRefutation 0.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    9 (   4 unt;   0 def)
%            Number of atoms       :  110 (   0 equ)
%            Maximal formula atoms :   26 (  12 avg)
%            Number of connectives :  133 (  32   ~;  13   |;  49   &)
%                                         (   0 <=>;  39  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   8 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   8 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(gauss_array_0002,conjecture,
    ( ( ~ leq(tptp_float_0_001,pv1341)
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(n0,s_best7) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(n0,s_sworst7) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(n0,s_worst7) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(s_best7,n3) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(s_sworst7,n3) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(s_worst7,n3) )
      & ( gt(loopcounter,n0)
       => leq(n0,s_best7) )
      & ( gt(loopcounter,n0)
       => leq(n0,s_sworst7) )
      & ( gt(loopcounter,n0)
       => leq(n0,s_worst7) )
      & ( gt(loopcounter,n0)
       => leq(s_best7,n3) )
      & ( gt(loopcounter,n0)
       => leq(s_sworst7,n3) )
      & ( gt(loopcounter,n0)
       => leq(s_worst7,n3) ) )
   => leq(s_best7,n3) ) ).

fof(subgoal_0,plain,
    ( ( ~ leq(tptp_float_0_001,pv1341)
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(n0,s_best7) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(n0,s_sworst7) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(n0,s_worst7) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(s_best7,n3) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(s_sworst7,n3) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(s_worst7,n3) )
      & ( gt(loopcounter,n0)
       => leq(n0,s_best7) )
      & ( gt(loopcounter,n0)
       => leq(n0,s_sworst7) )
      & ( gt(loopcounter,n0)
       => leq(n0,s_worst7) )
      & ( gt(loopcounter,n0)
       => leq(s_best7,n3) )
      & ( gt(loopcounter,n0)
       => leq(s_sworst7,n3) )
      & ( gt(loopcounter,n0)
       => leq(s_worst7,n3) ) )
   => leq(s_best7,n3) ),
    inference(strip,[],[gauss_array_0002]) ).

fof(negate_0_0,plain,
    ~ ( ( ~ leq(tptp_float_0_001,pv1341)
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(n0,s_best7) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(n0,s_sworst7) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(n0,s_worst7) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(s_best7,n3) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(s_sworst7,n3) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(s_worst7,n3) )
        & ( gt(loopcounter,n0)
         => leq(n0,s_best7) )
        & ( gt(loopcounter,n0)
         => leq(n0,s_sworst7) )
        & ( gt(loopcounter,n0)
         => leq(n0,s_worst7) )
        & ( gt(loopcounter,n0)
         => leq(s_best7,n3) )
        & ( gt(loopcounter,n0)
         => leq(s_sworst7,n3) )
        & ( gt(loopcounter,n0)
         => leq(s_worst7,n3) ) )
     => leq(s_best7,n3) ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ( ~ leq(s_best7,n3)
    & ~ leq(tptp_float_0_001,pv1341)
    & ( ~ gt(loopcounter,n0)
      | leq(n0,s_best7) )
    & ( ~ gt(loopcounter,n0)
      | leq(n0,s_sworst7) )
    & ( ~ gt(loopcounter,n0)
      | leq(n0,s_worst7) )
    & ( ~ gt(loopcounter,n0)
      | leq(s_best7,n3) )
    & ( ~ gt(loopcounter,n0)
      | leq(s_sworst7,n3) )
    & ( ~ gt(loopcounter,n0)
      | leq(s_worst7,n3) )
    & ( leq(n0,s_best7)
      | leq(tptp_float_0_001,pv1341) )
    & ( leq(n0,s_sworst7)
      | leq(tptp_float_0_001,pv1341) )
    & ( leq(n0,s_worst7)
      | leq(tptp_float_0_001,pv1341) )
    & ( leq(s_best7,n3)
      | leq(tptp_float_0_001,pv1341) )
    & ( leq(s_sworst7,n3)
      | leq(tptp_float_0_001,pv1341) )
    & ( leq(s_worst7,n3)
      | leq(tptp_float_0_001,pv1341) ) ),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_1,plain,
    ( leq(s_best7,n3)
    | leq(tptp_float_0_001,pv1341) ),
    inference(conjunct,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    ~ leq(s_best7,n3),
    inference(conjunct,[],[normalize_0_0]) ).

fof(normalize_0_3,plain,
    ~ leq(tptp_float_0_001,pv1341),
    inference(conjunct,[],[normalize_0_0]) ).

fof(normalize_0_4,plain,
    $false,
    inference(simplify,[],[normalize_0_1,normalize_0_2,normalize_0_3]) ).

cnf(refute_0_0,plain,
    $false,
    inference(canonicalize,[],[normalize_0_4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV132+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.13  % Command  : metis --show proof --show saturation %s
% 0.12/0.34  % Computer : n015.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Thu Jun 16 05:35:10 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.41/0.59  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/0.59  
% 0.41/0.59  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.41/0.59  
%------------------------------------------------------------------------------