TSTP Solution File: SWV128+1 by Metis---2.4

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%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SWV128+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n020.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 0.45s 0.63s
% Output   : CNFRefutation 0.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    8 (   4 unt;   0 def)
%            Number of atoms       :  100 (  28 equ)
%            Maximal formula atoms :   24 (  12 avg)
%            Number of connectives :  110 (  18   ~;  16   |;  58   &)
%                                         (   0 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   8 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   2 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;  14 con; 0-3 aty)
%            Number of variables   :   32 (   0 sgn  32   !;   0   ?)

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

fof(thruster_inuse_0001,conjecture,
    ( ( t_defuse = use
      & tvar_defuse = use
      & ! [A,B] :
          ( ( leq(n0,A)
            & leq(n0,B)
            & leq(A,minus(m_measvars,n1))
            & leq(B,minus(n_steps,n1)) )
         => a_select3(rho_defuse,A,B) = use )
      & ! [C,D] :
          ( ( leq(n0,C)
            & leq(n0,D)
            & leq(C,n7)
            & leq(D,minus(n_steps,n1)) )
         => a_select3(tr_defuse,C,D) = use )
      & ! [E] :
          ( ( leq(n0,E)
            & leq(E,minus(n_statevars,n1)) )
         => a_select2(xinit_defuse,E) = use )
      & ! [F] :
          ( ( leq(n0,F)
            & leq(F,minus(n_statevars,n1)) )
         => a_select2(xinit_mean_defuse,F) = use )
      & ! [G,H] :
          ( ( leq(n0,G)
            & leq(n0,H)
            & leq(G,minus(m_measvars,n1))
            & leq(H,minus(n_steps,n1)) )
         => a_select3(z_defuse,G,H) = use ) )
   => true ) ).

fof(subgoal_0,plain,
    ( ( t_defuse = use
      & tvar_defuse = use
      & ! [A,B] :
          ( ( leq(n0,A)
            & leq(n0,B)
            & leq(A,minus(m_measvars,n1))
            & leq(B,minus(n_steps,n1)) )
         => a_select3(rho_defuse,A,B) = use )
      & ! [C,D] :
          ( ( leq(n0,C)
            & leq(n0,D)
            & leq(C,n7)
            & leq(D,minus(n_steps,n1)) )
         => a_select3(tr_defuse,C,D) = use )
      & ! [E] :
          ( ( leq(n0,E)
            & leq(E,minus(n_statevars,n1)) )
         => a_select2(xinit_defuse,E) = use )
      & ! [F] :
          ( ( leq(n0,F)
            & leq(F,minus(n_statevars,n1)) )
         => a_select2(xinit_mean_defuse,F) = use )
      & ! [G,H] :
          ( ( leq(n0,G)
            & leq(n0,H)
            & leq(G,minus(m_measvars,n1))
            & leq(H,minus(n_steps,n1)) )
         => a_select3(z_defuse,G,H) = use ) )
   => true ),
    inference(strip,[],[thruster_inuse_0001]) ).

fof(negate_0_0,plain,
    ~ ( ( t_defuse = use
        & tvar_defuse = use
        & ! [A,B] :
            ( ( leq(n0,A)
              & leq(n0,B)
              & leq(A,minus(m_measvars,n1))
              & leq(B,minus(n_steps,n1)) )
           => a_select3(rho_defuse,A,B) = use )
        & ! [C,D] :
            ( ( leq(n0,C)
              & leq(n0,D)
              & leq(C,n7)
              & leq(D,minus(n_steps,n1)) )
           => a_select3(tr_defuse,C,D) = use )
        & ! [E] :
            ( ( leq(n0,E)
              & leq(E,minus(n_statevars,n1)) )
           => a_select2(xinit_defuse,E) = use )
        & ! [F] :
            ( ( leq(n0,F)
              & leq(F,minus(n_statevars,n1)) )
           => a_select2(xinit_mean_defuse,F) = use )
        & ! [G,H] :
            ( ( leq(n0,G)
              & leq(n0,H)
              & leq(G,minus(m_measvars,n1))
              & leq(H,minus(n_steps,n1)) )
           => a_select3(z_defuse,G,H) = use ) )
     => true ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ( ~ true
    & t_defuse = use
    & tvar_defuse = use
    & ! [E] :
        ( ~ leq(E,minus(n_statevars,n1))
        | ~ leq(n0,E)
        | a_select2(xinit_defuse,E) = use )
    & ! [F] :
        ( ~ leq(F,minus(n_statevars,n1))
        | ~ leq(n0,F)
        | a_select2(xinit_mean_defuse,F) = use )
    & ! [A,B] :
        ( ~ leq(A,minus(m_measvars,n1))
        | ~ leq(B,minus(n_steps,n1))
        | ~ leq(n0,A)
        | ~ leq(n0,B)
        | a_select3(rho_defuse,A,B) = use )
    & ! [C,D] :
        ( ~ leq(C,n7)
        | ~ leq(D,minus(n_steps,n1))
        | ~ leq(n0,C)
        | ~ leq(n0,D)
        | a_select3(tr_defuse,C,D) = use )
    & ! [G,H] :
        ( ~ leq(G,minus(m_measvars,n1))
        | ~ leq(H,minus(n_steps,n1))
        | ~ leq(n0,G)
        | ~ leq(n0,H)
        | a_select3(z_defuse,G,H) = use ) ),
    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
% 0.07/0.13  % Problem  : SWV128+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.14  % Command  : metis --show proof --show saturation %s
% 0.15/0.35  % Computer : n020.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 600
% 0.15/0.35  % DateTime : Tue Jun 14 18:16:04 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.45/0.63  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.45/0.63  
% 0.45/0.63  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.49/0.64  
%------------------------------------------------------------------------------