%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SET025-7 : 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 : 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 : Tue Jul 19 00:56:34 EDT 2022

% Result   : Unsatisfiable 0.12s 0.37s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   11 (  11 unt;   0 nHn;   4 RR)
%            Number of literals    :   11 (   5 equ;   3 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   12 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(ordered_pair,axiom,
    unordered_pair(singleton(X1),unordered_pair(X1,singleton(X2))) = ordered_pair(X1,X2),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',ordered_pair) ).

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

cnf(prove_ordered_pair_is_set_1,negated_conjecture,
    ~ member(ordered_pair(x,y),universal_class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ordered_pair_is_set_1) ).

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_4,axiom,
    unordered_pair(singleton(X1),unordered_pair(X1,singleton(X2))) = ordered_pair(X1,X2),
    ordered_pair ).

cnf(c_0_5,axiom,
    unordered_pair(X1,X1) = singleton(X1),
    singleton_set ).

cnf(c_0_6,negated_conjecture,
    ~ member(ordered_pair(x,y),universal_class),
    prove_ordered_pair_is_set_1 ).

cnf(c_0_7,plain,
    unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))) = ordered_pair(X1,X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_4,c_0_5]),c_0_5]) ).

cnf(c_0_8,negated_conjecture,
    ~ member(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y))),universal_class),
    inference(rw,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_9,axiom,
    member(unordered_pair(X1,X2),universal_class),
    unordered_pairs_in_universal ).

cnf(c_0_10,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET025-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.12  % 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 : n018.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 : Sun Jul 10 04:06:57 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.37  # No SInE strategy applied
% 0.12/0.37  # Auto-Mode selected heuristic G_E___107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y
% 0.12/0.37  # and selection function SelectMaxLComplexAvoidPosPred.
% 0.12/0.37  #
% 0.12/0.37  # Presaturation interreduction done
% 0.12/0.37  
% 0.12/0.37  # Proof found!
% 0.12/0.37  # SZS status Unsatisfiable
% 0.12/0.37  # SZS output start CNFRefutation
% See solution above
% 0.12/0.37  # Training examples: 0 positive, 0 negative
%------------------------------------------------------------------------------