%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET903+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n029.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 00:15:07 EDT 2022

% Result   : Theorem 7.25s 2.28s
% Output   : CNFRefutation 7.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   17 (  11 unt;   4 nHn;  17 RR)
%            Number of literals    :   27 (  26 equ;  12 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   14 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_8,plain,
    ( X1 = empty_set
    | X1 = singleton(X2)
    | singleton(X2) != set_union2(X3,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zhvqu7cv/lgb.p',i_0_8) ).

cnf(i_0_19,negated_conjecture,
    set_union2(esk4_0,esk5_0) = singleton(esk3_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zhvqu7cv/lgb.p',i_0_19) ).

cnf(i_0_16,negated_conjecture,
    esk5_0 != empty_set,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zhvqu7cv/lgb.p',i_0_16) ).

cnf(i_0_15,plain,
    ( X1 = empty_set
    | X1 = singleton(X2)
    | singleton(X2) != set_union2(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zhvqu7cv/lgb.p',i_0_15) ).

cnf(i_0_17,negated_conjecture,
    esk4_0 != empty_set,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zhvqu7cv/lgb.p',i_0_17) ).

cnf(i_0_18,negated_conjecture,
    esk5_0 != esk4_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zhvqu7cv/lgb.p',i_0_18) ).

cnf(c_0_26,plain,
    ( X1 = empty_set
    | X1 = singleton(X2)
    | singleton(X2) != set_union2(X3,X1) ),
    i_0_8 ).

cnf(c_0_27,negated_conjecture,
    set_union2(esk4_0,esk5_0) = singleton(esk3_0),
    i_0_19 ).

cnf(c_0_28,negated_conjecture,
    esk5_0 != empty_set,
    i_0_16 ).

cnf(c_0_29,negated_conjecture,
    ( singleton(X1) = esk5_0
    | singleton(X1) != singleton(esk3_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]) ).

cnf(c_0_30,negated_conjecture,
    singleton(esk3_0) = esk5_0,
    inference(er,[status(thm)],[c_0_29]) ).

cnf(c_0_31,plain,
    ( X1 = empty_set
    | X1 = singleton(X2)
    | singleton(X2) != set_union2(X1,X3) ),
    i_0_15 ).

cnf(c_0_32,negated_conjecture,
    set_union2(esk4_0,esk5_0) = esk5_0,
    inference(rw,[status(thm)],[c_0_27,c_0_30]) ).

cnf(c_0_33,negated_conjecture,
    esk4_0 != empty_set,
    i_0_17 ).

cnf(c_0_34,plain,
    ( singleton(X1) = esk4_0
    | singleton(X1) != esk5_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]) ).

cnf(c_0_35,negated_conjecture,
    esk5_0 != esk4_0,
    i_0_18 ).

cnf(c_0_36,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_30]),c_0_35]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SET903+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.33  % Computer : n029.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Sat Jul  9 17:49:47 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 7.25/2.28  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.25/2.28  # No SInE strategy applied
% 7.25/2.28  # Trying AutoSched0 for 150 seconds
% 7.25/2.28  # AutoSched0-Mode selected heuristic G_E___024_B31_F1_PI_AE_Q4_CS_SP_S2S
% 7.25/2.28  # and selection function SelectNewComplexAHP.
% 7.25/2.28  #
% 7.25/2.28  # Preprocessing time       : 0.023 s
% 7.25/2.28  
% 7.25/2.28  # Proof found!
% 7.25/2.28  # SZS status Theorem
% 7.25/2.28  # SZS output start CNFRefutation
% See solution above
% 7.25/2.28  # Training examples: 0 positive, 0 negative
% 7.25/2.28  
% 7.25/2.28  # -------------------------------------------------
% 7.25/2.28  # User time                : 0.024 s
% 7.25/2.28  # System time              : 0.005 s
% 7.25/2.28  # Total time               : 0.028 s
% 7.25/2.28  # Maximum resident set size: 7124 pages
% 7.25/2.28  
%------------------------------------------------------------------------------