%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SWV106+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s

% Computer : n007.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 18:19:17 EDT 2022

% Result   : Theorem 0.19s 0.38s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    8 (   4 unt;   0 def)
%            Number of atoms       :   60 (  14 equ)
%            Maximal formula atoms :   26 (   7 avg)
%            Number of connectives :   55 (   3   ~;   0   |;  35   &)
%                                         (   1 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;  14 con; 0-3 aty)
%            Number of variables   :   18 (   0 sgn  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(quaternion_ds1_inuse_0018,conjecture,
    ( ( ! [X14] :
          ( ( leq(n0,X14)
            & leq(X14,minus(m_measvars,n1)) )
         => a_select2(rho_defuse,X14) = use )
      & ! [X18] :
          ( ( leq(n0,X18)
            & leq(X18,minus(n_statevars,n1)) )
         => a_select2(sigma_defuse,X18) = use )
      & ! [X4,X20] :
          ( ( leq(n0,X4)
            & leq(n0,X20)
            & leq(X4,n2)
            & leq(X20,minus(n_steps,n1)) )
         => a_select3(u_defuse,X4,X20) = use )
      & ! [X21] :
          ( ( leq(n0,X21)
            & leq(X21,minus(n_statevars,n1)) )
         => a_select2(xinit_defuse,X21) = use )
      & ! [X22] :
          ( ( leq(n0,X22)
            & leq(X22,minus(n_statevars,n1)) )
         => a_select2(xinit_mean_defuse,X22) = use )
      & ! [X28] :
          ( ( leq(n0,X28)
            & leq(X28,minus(n_statevars,n1)) )
         => a_select2(xinit_noise_defuse,X28) = use )
      & ! [X29,X5] :
          ( ( leq(n0,X29)
            & leq(n0,X5)
            & leq(X29,minus(m_measvars,n1))
            & leq(X5,minus(n_steps,n1)) )
         => a_select3(z_defuse,X29,X5) = use ) )
   => true ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0018) ).

fof(ttrue,axiom,
    true,
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',ttrue) ).

fof(c_0_2,plain,
    ( epred2_0
  <=> ( ! [X14] :
          ( ( leq(n0,X14)
            & leq(X14,minus(m_measvars,n1)) )
         => a_select2(rho_defuse,X14) = use )
      & ! [X18] :
          ( ( leq(n0,X18)
            & leq(X18,minus(n_statevars,n1)) )
         => a_select2(sigma_defuse,X18) = use )
      & ! [X4,X20] :
          ( ( leq(n0,X4)
            & leq(n0,X20)
            & leq(X4,n2)
            & leq(X20,minus(n_steps,n1)) )
         => a_select3(u_defuse,X4,X20) = use )
      & ! [X21] :
          ( ( leq(n0,X21)
            & leq(X21,minus(n_statevars,n1)) )
         => a_select2(xinit_defuse,X21) = use )
      & ! [X22] :
          ( ( leq(n0,X22)
            & leq(X22,minus(n_statevars,n1)) )
         => a_select2(xinit_mean_defuse,X22) = use )
      & ! [X28] :
          ( ( leq(n0,X28)
            & leq(X28,minus(n_statevars,n1)) )
         => a_select2(xinit_noise_defuse,X28) = use )
      & ! [X29,X5] :
          ( ( leq(n0,X29)
            & leq(n0,X5)
            & leq(X29,minus(m_measvars,n1))
            & leq(X5,minus(n_steps,n1)) )
         => a_select3(z_defuse,X29,X5) = use ) ) ),
    introduced(definition) ).

fof(c_0_3,negated_conjecture,
    ~ ( epred2_0
     => true ),
    inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[quaternion_ds1_inuse_0018]),c_0_2]) ).

fof(c_0_4,negated_conjecture,
    ( epred2_0
    & ~ true ),
    inference(fof_nnf,[status(thm)],[c_0_3]) ).

cnf(c_0_5,negated_conjecture,
    ~ true,
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_6,plain,
    true,
    inference(split_conjunct,[status(thm)],[ttrue]) ).

cnf(c_0_7,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWV106+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.00/0.12  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.33  % Computer : n007.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 : Tue Jun 14 19:56:10 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.38  # No SInE strategy applied
% 0.19/0.38  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.19/0.38  # and selection function SelectComplexExceptUniqMaxHorn.
% 0.19/0.38  #
% 0.19/0.38  # Presaturation interreduction done
% 0.19/0.38  
% 0.19/0.38  # Proof found!
% 0.19/0.38  # SZS status Theorem
% 0.19/0.38  # SZS output start CNFRefutation
% See solution above
% 0.19/0.38  # Training examples: 0 positive, 0 negative
%------------------------------------------------------------------------------