%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SET891+1 : TPTP v8.1.0. Released v3.2.0.
% 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 : 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 : Tue Jul 19 01:03:38 EDT 2022

% Result   : Theorem 0.20s 0.37s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (  12 unt;   0 def)
%            Number of atoms       :   12 (  11 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :   18 (   0 sgn  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t32_zfmisc_1,conjecture,
    ! [X1,X2] : union(unordered_pair(singleton(X1),singleton(X2))) = unordered_pair(X1,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t32_zfmisc_1) ).

fof(t41_enumset1,axiom,
    ! [X1,X2] : unordered_pair(X1,X2) = set_union2(singleton(X1),singleton(X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t41_enumset1) ).

fof(l52_zfmisc_1,axiom,
    ! [X1,X2] : union(unordered_pair(X1,X2)) = set_union2(X1,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l52_zfmisc_1) ).

fof(c_0_3,negated_conjecture,
    ~ ! [X1,X2] : union(unordered_pair(singleton(X1),singleton(X2))) = unordered_pair(X1,X2),
    inference(assume_negation,[status(cth)],[t32_zfmisc_1]) ).

fof(c_0_4,plain,
    ! [X18,X19] : unordered_pair(X18,X19) = set_union2(singleton(X18),singleton(X19)),
    inference(variable_rename,[status(thm)],[t41_enumset1]) ).

fof(c_0_5,plain,
    ! [X12,X13] : union(unordered_pair(X12,X13)) = set_union2(X12,X13),
    inference(variable_rename,[status(thm)],[l52_zfmisc_1]) ).

fof(c_0_6,negated_conjecture,
    union(unordered_pair(singleton(esk3_0),singleton(esk4_0))) != unordered_pair(esk3_0,esk4_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).

cnf(c_0_7,plain,
    unordered_pair(X1,X2) = set_union2(singleton(X1),singleton(X2)),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,plain,
    union(unordered_pair(X1,X2)) = set_union2(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,negated_conjecture,
    union(unordered_pair(singleton(esk3_0),singleton(esk4_0))) != unordered_pair(esk3_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    unordered_pair(X1,X2) = union(unordered_pair(singleton(X1),singleton(X2))),
    inference(rw,[status(thm)],[c_0_7,c_0_8]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET891+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.34  % Computer : n015.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jul 10 16:06:38 EDT 2022
% 0.20/0.34  % CPUTime  : 
% 0.20/0.37  # No SInE strategy applied
% 0.20/0.37  # Auto-Mode selected heuristic G_E___208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.20/0.37  # and selection function SelectComplexExceptUniqMaxHorn.
% 0.20/0.37  #
% 0.20/0.37  # Presaturation interreduction done
% 0.20/0.37  
% 0.20/0.37  # Proof found!
% 0.20/0.37  # SZS status Theorem
% 0.20/0.37  # SZS output start CNFRefutation
% See solution above
% 0.20/0.37  # Training examples: 0 positive, 0 negative
%------------------------------------------------------------------------------