TSTP Solution File: SET923+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET923+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n026.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 00:15:16 EDT 2022

% Result   : Theorem 7.93s 2.40s
% Output   : CNFRefutation 7.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   12 (   8 unt;   2 nHn;  12 RR)
%            Number of literals    :   18 (  12 equ;   8 neg)
%            Maximal clause size   :    3 (   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_9,plain,
    ( subset(X1,X2)
    | set_difference(X1,X2) != empty_set ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-00zywd_w/lgb.p',i_0_9) ).

cnf(i_0_12,negated_conjecture,
    set_difference(esk3_0,singleton(esk4_0)) = empty_set,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-00zywd_w/lgb.p',i_0_12) ).

cnf(i_0_4,plain,
    ( X1 = empty_set
    | X1 = singleton(X2)
    | ~ subset(X1,singleton(X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-00zywd_w/lgb.p',i_0_4) ).

cnf(i_0_10,negated_conjecture,
    singleton(esk4_0) != esk3_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-00zywd_w/lgb.p',i_0_10) ).

cnf(i_0_11,negated_conjecture,
    empty_set != esk3_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-00zywd_w/lgb.p',i_0_11) ).

cnf(c_0_18,plain,
    ( subset(X1,X2)
    | set_difference(X1,X2) != empty_set ),
    i_0_9 ).

cnf(c_0_19,negated_conjecture,
    set_difference(esk3_0,singleton(esk4_0)) = empty_set,
    i_0_12 ).

cnf(c_0_20,plain,
    ( X1 = empty_set
    | X1 = singleton(X2)
    | ~ subset(X1,singleton(X2)) ),
    i_0_4 ).

cnf(c_0_21,negated_conjecture,
    subset(esk3_0,singleton(esk4_0)),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_22,negated_conjecture,
    singleton(esk4_0) != esk3_0,
    i_0_10 ).

cnf(c_0_23,negated_conjecture,
    empty_set != esk3_0,
    i_0_11 ).

cnf(c_0_24,plain,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),c_0_23]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SET923+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n026.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Mon Jul 11 09:31:43 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.20/0.44  # ENIGMATIC: Selected complete mode:
% 7.93/2.40  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.93/2.40  # No SInE strategy applied
% 7.93/2.40  # Trying AutoSched0 for 150 seconds
% 7.93/2.40  # AutoSched0-Mode selected heuristic G_E___024_B31_F1_PI_AE_Q4_CS_SP_S2S
% 7.93/2.40  # and selection function SelectNewComplexAHP.
% 7.93/2.40  #
% 7.93/2.40  # Preprocessing time       : 0.023 s
% 7.93/2.40  
% 7.93/2.40  # Proof found!
% 7.93/2.40  # SZS status Theorem
% 7.93/2.40  # SZS output start CNFRefutation
% See solution above
% 7.93/2.40  # Training examples: 0 positive, 0 negative
% 7.93/2.40  
% 7.93/2.40  # -------------------------------------------------
% 7.93/2.40  # User time                : 0.022 s
% 7.93/2.40  # System time              : 0.008 s
% 7.93/2.40  # Total time               : 0.029 s
% 7.93/2.40  # Maximum resident set size: 7124 pages
% 7.93/2.40  
%------------------------------------------------------------------------------