TSTP Solution File: SET925+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET925+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n009.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 00:15:17 EDT 2022

% Result   : Theorem 7.53s 2.38s
% Output   : CNFRefutation 7.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   11 (   3 unt;   2 nHn;  11 RR)
%            Number of literals    :   19 (   9 equ;   9 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :    8 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_8,plain,
    ( in(X1,X2)
    | set_difference(singleton(X1),X2) != empty_set ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-klmq5zsk/lgb.p',i_0_8) ).

cnf(i_0_5,negated_conjecture,
    ( set_difference(singleton(esk3_0),esk4_0) = empty_set
    | in(esk3_0,esk4_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-klmq5zsk/lgb.p',i_0_5) ).

cnf(i_0_6,negated_conjecture,
    ( set_difference(singleton(esk3_0),esk4_0) != empty_set
    | ~ in(esk3_0,esk4_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-klmq5zsk/lgb.p',i_0_6) ).

cnf(i_0_7,plain,
    ( set_difference(singleton(X1),X2) = empty_set
    | ~ in(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-klmq5zsk/lgb.p',i_0_7) ).

cnf(c_0_13,plain,
    ( in(X1,X2)
    | set_difference(singleton(X1),X2) != empty_set ),
    i_0_8 ).

cnf(c_0_14,negated_conjecture,
    ( set_difference(singleton(esk3_0),esk4_0) = empty_set
    | in(esk3_0,esk4_0) ),
    i_0_5 ).

cnf(c_0_15,negated_conjecture,
    ( set_difference(singleton(esk3_0),esk4_0) != empty_set
    | ~ in(esk3_0,esk4_0) ),
    i_0_6 ).

cnf(c_0_16,negated_conjecture,
    in(esk3_0,esk4_0),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_17,negated_conjecture,
    set_difference(singleton(esk3_0),esk4_0) != empty_set,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16])]) ).

cnf(c_0_18,plain,
    ( set_difference(singleton(X1),X2) = empty_set
    | ~ in(X1,X2) ),
    i_0_7 ).

cnf(c_0_19,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_16])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SET925+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.14  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.35  % Computer : n009.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Mon Jul 11 04:14:38 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.20/0.47  # ENIGMATIC: Selected complete mode:
% 7.53/2.38  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.53/2.38  # No SInE strategy applied
% 7.53/2.38  # Trying AutoSched0 for 150 seconds
% 7.53/2.38  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S0Y_ni
% 7.53/2.38  # and selection function SelectMaxLComplexAvoidPosPred.
% 7.53/2.38  #
% 7.53/2.38  # Preprocessing time       : 0.023 s
% 7.53/2.38  # Presaturation interreduction done
% 7.53/2.38  
% 7.53/2.38  # Proof found!
% 7.53/2.38  # SZS status Theorem
% 7.53/2.38  # SZS output start CNFRefutation
% See solution above
% 7.53/2.38  # Training examples: 0 positive, 0 negative
% 7.53/2.38  
% 7.53/2.38  # -------------------------------------------------
% 7.53/2.38  # User time                : 0.023 s
% 7.53/2.38  # System time              : 0.008 s
% 7.53/2.38  # Total time               : 0.030 s
% 7.53/2.38  # Maximum resident set size: 7120 pages
% 7.53/2.38  
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