TSTP Solution File: SET764+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET764+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 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 00:13:56 EDT 2022

% Result   : Theorem 7.74s 2.44s
% Output   : CNFRefutation 7.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   15 (   9 unt;   2 nHn;  11 RR)
%            Number of literals    :   23 (   0 equ;  12 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-3 aty)
%            Number of variables   :   21 (   7 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_27,plain,
    ~ member(X1,empty_set),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tel34ypz/lgb.p',i_0_27) ).

cnf(i_0_120,plain,
    ( subset(X1,X2)
    | member(esk37_2(X1,X2),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tel34ypz/lgb.p',i_0_120) ).

cnf(i_0_71,plain,
    ( member(esk23_3(X1,X2,X3),X2)
    | ~ member(X3,inverse_image2(X1,X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tel34ypz/lgb.p',i_0_71) ).

cnf(i_0_129,negated_conjecture,
    ~ equal_set(inverse_image2(esk41_0,empty_set),empty_set),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tel34ypz/lgb.p',i_0_129) ).

cnf(i_0_35,plain,
    ( equal_set(X1,X2)
    | ~ subset(X2,X1)
    | ~ subset(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tel34ypz/lgb.p',i_0_35) ).

cnf(c_0_135,plain,
    ~ member(X1,empty_set),
    i_0_27 ).

cnf(c_0_136,plain,
    ( subset(X1,X2)
    | member(esk37_2(X1,X2),X1) ),
    i_0_120 ).

cnf(c_0_137,plain,
    ( member(esk23_3(X1,X2,X3),X2)
    | ~ member(X3,inverse_image2(X1,X2)) ),
    i_0_71 ).

cnf(c_0_138,negated_conjecture,
    ~ equal_set(inverse_image2(esk41_0,empty_set),empty_set),
    i_0_129 ).

cnf(c_0_139,plain,
    ( equal_set(X1,X2)
    | ~ subset(X2,X1)
    | ~ subset(X1,X2) ),
    i_0_35 ).

cnf(c_0_140,plain,
    subset(empty_set,X1),
    inference(spm,[status(thm)],[c_0_135,c_0_136]) ).

cnf(c_0_141,plain,
    ~ member(X1,inverse_image2(X2,empty_set)),
    inference(spm,[status(thm)],[c_0_135,c_0_137]) ).

cnf(c_0_142,negated_conjecture,
    ~ subset(inverse_image2(esk41_0,empty_set),empty_set),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_140])]) ).

cnf(c_0_143,plain,
    subset(inverse_image2(X1,empty_set),X2),
    inference(spm,[status(thm)],[c_0_141,c_0_136]) ).

cnf(c_0_144,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_142,c_0_143])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SET764+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Mon Jul 11 03:04:13 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.46  # ENIGMATIC: Selected SinE mode:
% 0.20/0.47  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.20/0.47  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.20/0.47  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.74/2.44  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.74/2.44  # No SInE strategy applied
% 7.74/2.44  # Trying AutoSched0 for 150 seconds
% 7.74/2.44  # AutoSched0-Mode selected heuristic G_E___107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U
% 7.74/2.44  # and selection function SelectNewComplexAHPExceptRRHorn.
% 7.74/2.44  #
% 7.74/2.44  # Preprocessing time       : 0.013 s
% 7.74/2.44  # Presaturation interreduction done
% 7.74/2.44  
% 7.74/2.44  # Proof found!
% 7.74/2.44  # SZS status Theorem
% 7.74/2.44  # SZS output start CNFRefutation
% See solution above
% 7.74/2.44  # Training examples: 0 positive, 0 negative
% 7.74/2.44  
% 7.74/2.44  # -------------------------------------------------
% 7.74/2.44  # User time                : 0.012 s
% 7.74/2.44  # System time              : 0.007 s
% 7.74/2.44  # Total time               : 0.019 s
% 7.74/2.44  # Maximum resident set size: 7124 pages
% 7.74/2.44  
%------------------------------------------------------------------------------