%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SWW469+5 : TPTP v8.1.0. Released v5.3.0.
% 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 : n018.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 : Thu Jul 21 00:13:01 EDT 2022

% Result   : Theorem 0.12s 0.38s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   11 (   8 unt;   0 def)
%            Number of atoms       :   16 (   8 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   14 (   9   ~;   3   |;   1   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   10 (   1 sgn   7   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(conj_1,conjecture,
    ! [X6] :
      ~ ! [X5] : ti(state,X5) = ti(state,X6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).

fof(fact_0_state__not__singleton__def,axiom,
    ( hBOOL(hoare_1883395792gleton)
  <=> ? [X5,X6] : ti(state,X5) != ti(state,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_state__not__singleton__def) ).

fof(conj_0,hypothesis,
    hBOOL(hoare_1883395792gleton),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

fof(c_0_3,negated_conjecture,
    ~ ! [X6] :
        ~ ! [X5] : ti(state,X5) = ti(state,X6),
    inference(assume_negation,[status(cth)],[conj_1]) ).

fof(c_0_4,plain,
    ! [X49,X50] :
      ( ( ~ hBOOL(hoare_1883395792gleton)
        | ti(state,esk1_0) != ti(state,esk2_0) )
      & ( ti(state,X49) = ti(state,X50)
        | hBOOL(hoare_1883395792gleton) ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_0_state__not__singleton__def])])])]) ).

fof(c_0_5,negated_conjecture,
    ! [X181] : ti(state,X181) = ti(state,esk12_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).

cnf(c_0_6,plain,
    ( ~ hBOOL(hoare_1883395792gleton)
    | ti(state,esk1_0) != ti(state,esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    ti(state,X1) = ti(state,esk12_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,hypothesis,
    hBOOL(hoare_1883395792gleton),
    inference(split_conjunct,[status(thm)],[conj_0]) ).

cnf(c_0_9,plain,
    ~ hBOOL(hoare_1883395792gleton),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7]),c_0_7])]) ).

cnf(c_0_10,hypothesis,
    $false,
    inference(sr,[status(thm)],[c_0_8,c_0_9]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWW469+5 : TPTP v8.1.0. Released v5.3.0.
% 0.06/0.13  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.34  % Computer : n018.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 : Sat Jun  4 21:05:18 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.38  # No SInE strategy applied
% 0.12/0.38  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.12/0.38  # and selection function SelectComplexExceptUniqMaxHorn.
% 0.12/0.38  #
% 0.12/0.38  # Presaturation interreduction done
% 0.12/0.38  
% 0.12/0.38  # Proof found!
% 0.12/0.38  # SZS status Theorem
% 0.12/0.38  # SZS output start CNFRefutation
% See solution above
% 0.12/0.38  # Training examples: 0 positive, 0 negative
%------------------------------------------------------------------------------