%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : NUM341+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : n026.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 : Mon Jul 18 09:40:17 EDT 2022

% Result   : Theorem 0.13s 0.39s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   12 (   2 unt;   0 def)
%            Number of atoms       :   32 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   33 (  13   ~;  12   |;   5   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   33 (   3 sgn   9   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(add_same_as_subtract,conjecture,
    ? [X1,X2,X3] :
      ( sum(X1,X2,X3)
    <=> ( difference(X3,X2,X1)
        & difference(X3,X1,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_same_as_subtract) ).

fof(minus_entry_point,axiom,
    ! [X1,X2,X3] :
      ( sum(X2,X3,X1)
    <=> difference(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax',minus_entry_point) ).

fof(c_0_2,negated_conjecture,
    ~ ? [X1,X2,X3] :
        ( sum(X1,X2,X3)
      <=> ( difference(X3,X2,X1)
          & difference(X3,X1,X2) ) ),
    inference(assume_negation,[status(cth)],[add_same_as_subtract]) ).

fof(c_0_3,negated_conjecture,
    ! [X154,X155,X156] :
      ( ( ~ sum(X154,X155,X156)
        | ~ difference(X156,X155,X154)
        | ~ difference(X156,X154,X155) )
      & ( difference(X156,X155,X154)
        | sum(X154,X155,X156) )
      & ( difference(X156,X154,X155)
        | sum(X154,X155,X156) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).

fof(c_0_4,plain,
    ! [X112,X113,X114] :
      ( ( ~ sum(X113,X114,X112)
        | difference(X112,X113,X114) )
      & ( ~ difference(X112,X113,X114)
        | sum(X113,X114,X112) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[minus_entry_point])]) ).

cnf(c_0_5,negated_conjecture,
    ( ~ sum(X1,X2,X3)
    | ~ difference(X3,X2,X1)
    | ~ difference(X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,plain,
    ( sum(X2,X3,X1)
    | ~ difference(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    ( difference(X1,X2,X3)
    | sum(X2,X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_8,plain,
    ( difference(X3,X1,X2)
    | ~ sum(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_9,negated_conjecture,
    ( ~ difference(X1,X2,X3)
    | ~ difference(X1,X3,X2) ),
    inference(csr,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_10,negated_conjecture,
    difference(X1,X2,X3),
    inference(csr,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_11,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10]),c_0_10])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : NUM341+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.35  % Computer : n026.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Thu Jul  7 18:09:24 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.39  # No SInE strategy applied
% 0.13/0.39  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S4c
% 0.13/0.39  # and selection function SelectCQPrecWNTNp.
% 0.13/0.39  #
% 0.13/0.39  # Presaturation interreduction done
% 0.13/0.39  
% 0.13/0.39  # Proof found!
% 0.13/0.39  # SZS status Theorem
% 0.13/0.39  # SZS output start CNFRefutation
% See solution above
% 0.13/0.39  # Training examples: 0 positive, 0 negative
%------------------------------------------------------------------------------