TSTP Solution File: SEU309+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU309+2 : TPTP v8.1.0. Released v3.3.0.
% 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 08:40:40 EDT 2022

% Result   : Theorem 8.63s 2.96s
% Output   : CNFRefutation 8.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   16 (   9 unt;   0 nHn;  16 RR)
%            Number of literals    :   25 (   8 equ;  14 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-3 aty)
%            Number of variables   :   12 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_1576,negated_conjecture,
    subset_difference(the_carrier(esk286_0),cast_as_carrier_subset(esk286_0),subset_difference(the_carrier(esk286_0),cast_as_carrier_subset(esk286_0),esk287_0)) != esk287_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nfqr__bb/lgb.p',i_0_1576) ).

cnf(i_0_1551,lemma,
    ( subset_difference(the_carrier(X1),cast_as_carrier_subset(X1),X2) = subset_complement(the_carrier(X1),X2)
    | ~ one_sorted_str(X1)
    | ~ element(X2,powerset(the_carrier(X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nfqr__bb/lgb.p',i_0_1551) ).

cnf(i_0_1578,negated_conjecture,
    one_sorted_str(esk286_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nfqr__bb/lgb.p',i_0_1578) ).

cnf(i_0_1577,negated_conjecture,
    element(esk287_0,powerset(the_carrier(esk286_0))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nfqr__bb/lgb.p',i_0_1577) ).

cnf(i_0_556,plain,
    ( subset_complement(X1,subset_complement(X1,X2)) = X2
    | ~ element(X2,powerset(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nfqr__bb/lgb.p',i_0_556) ).

cnf(i_0_393,plain,
    ( element(subset_complement(X1,X2),powerset(X1))
    | ~ element(X2,powerset(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nfqr__bb/lgb.p',i_0_393) ).

cnf(c_0_1585,negated_conjecture,
    subset_difference(the_carrier(esk286_0),cast_as_carrier_subset(esk286_0),subset_difference(the_carrier(esk286_0),cast_as_carrier_subset(esk286_0),esk287_0)) != esk287_0,
    i_0_1576 ).

cnf(c_0_1586,lemma,
    ( subset_difference(the_carrier(X1),cast_as_carrier_subset(X1),X2) = subset_complement(the_carrier(X1),X2)
    | ~ one_sorted_str(X1)
    | ~ element(X2,powerset(the_carrier(X1))) ),
    i_0_1551 ).

cnf(c_0_1587,negated_conjecture,
    one_sorted_str(esk286_0),
    i_0_1578 ).

cnf(c_0_1588,negated_conjecture,
    element(esk287_0,powerset(the_carrier(esk286_0))),
    i_0_1577 ).

cnf(c_0_1589,negated_conjecture,
    subset_difference(the_carrier(esk286_0),cast_as_carrier_subset(esk286_0),subset_complement(the_carrier(esk286_0),esk287_0)) != esk287_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1585,c_0_1586]),c_0_1587]),c_0_1588])]) ).

cnf(c_0_1590,lemma,
    ( subset_complement(the_carrier(esk286_0),subset_complement(the_carrier(esk286_0),esk287_0)) != esk287_0
    | ~ element(subset_complement(the_carrier(esk286_0),esk287_0),powerset(the_carrier(esk286_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1589,c_0_1586]),c_0_1587])]) ).

cnf(c_0_1591,plain,
    ( subset_complement(X1,subset_complement(X1,X2)) = X2
    | ~ element(X2,powerset(X1)) ),
    i_0_556 ).

cnf(c_0_1592,plain,
    ~ element(subset_complement(the_carrier(esk286_0),esk287_0),powerset(the_carrier(esk286_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1590,c_0_1591]),c_0_1588])]) ).

cnf(c_0_1593,plain,
    ( element(subset_complement(X1,X2),powerset(X1))
    | ~ element(X2,powerset(X1)) ),
    i_0_393 ).

cnf(c_0_1594,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1592,c_0_1593]),c_0_1588])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SEU309+2 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.14  % 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
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sun Jun 19 03:41:09 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.20/0.47  # ENIGMATIC: Selected SinE mode:
% 0.20/0.49  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.49  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.20/0.49  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.20/0.49  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.63/2.96  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.63/2.96  # No SInE strategy applied
% 8.63/2.96  # Trying AutoSched0 for 150 seconds
% 8.63/2.96  # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S0Y
% 8.63/2.96  # and selection function SelectMaxLComplexAvoidPosPred.
% 8.63/2.96  #
% 8.63/2.96  # Preprocessing time       : 0.032 s
% 8.63/2.96  
% 8.63/2.96  # Proof found!
% 8.63/2.96  # SZS status Theorem
% 8.63/2.96  # SZS output start CNFRefutation
% See solution above
% 8.63/2.96  # Training examples: 0 positive, 0 negative
% 8.63/2.96  
% 8.63/2.96  # -------------------------------------------------
% 8.63/2.96  # User time                : 0.041 s
% 8.63/2.96  # System time              : 0.010 s
% 8.63/2.96  # Total time               : 0.052 s
% 8.63/2.96  # Maximum resident set size: 7128 pages
% 8.63/2.96  
%------------------------------------------------------------------------------