%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SET077-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : n024.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 00:57:27 EDT 2022

% Result   : Unsatisfiable 0.18s 0.36s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    8 (   8 unt;   0 nHn;   4 RR)
%            Number of literals    :    8 (   2 equ;   3 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    6 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_singletons_are_sets_1,negated_conjecture,
    ~ member(singleton(x),universal_class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_singletons_are_sets_1) ).

cnf(singleton_set,axiom,
    unordered_pair(X1,X1) = singleton(X1),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',singleton_set) ).

cnf(unordered_pairs_in_universal,axiom,
    member(unordered_pair(X1,X2),universal_class),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pairs_in_universal) ).

cnf(c_0_3,negated_conjecture,
    ~ member(singleton(x),universal_class),
    prove_singletons_are_sets_1 ).

cnf(c_0_4,axiom,
    unordered_pair(X1,X1) = singleton(X1),
    singleton_set ).

cnf(c_0_5,negated_conjecture,
    ~ member(unordered_pair(x,x),universal_class),
    inference(rw,[status(thm)],[c_0_3,c_0_4]) ).

cnf(c_0_6,axiom,
    member(unordered_pair(X1,X2),universal_class),
    unordered_pairs_in_universal ).

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
% 0.03/0.11  % Problem  : SET077-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.12  % 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 : n024.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 : Mon Jul 11 07:06:58 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.36  # No SInE strategy applied
% 0.18/0.36  # Auto-Mode selected heuristic G_E___107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y
% 0.18/0.36  # and selection function SelectMaxLComplexAvoidPosPred.
% 0.18/0.36  #
% 0.18/0.36  # Presaturation interreduction done
% 0.18/0.36  
% 0.18/0.36  # Proof found!
% 0.18/0.36  # SZS status Unsatisfiable
% 0.18/0.36  # SZS output start CNFRefutation
% See solution above
% 0.18/0.36  # Training examples: 0 positive, 0 negative
%------------------------------------------------------------------------------