TSTP Solution File: SEU375+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU375+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n028.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 08:41:39 EDT 2022

% Result   : Theorem 10.95s 3.57s
% Output   : CNFRefutation 10.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   23
% Syntax   : Number of clauses     :   64 (  41 unt;   2 nHn;  64 RR)
%            Number of literals    :  143 (  11 equ;  83 neg)
%            Maximal clause size   :   13 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   14 (  12 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-1 aty)
%            Number of variables   :   56 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_746,plain,
    ( net_str(X1,X2)
    | ~ one_sorted_str(X2)
    | ~ net_str(X3,X2)
    | ~ subnetstr(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ss5886v/lgb.p',i_0_746) ).

cnf(i_0_2947,negated_conjecture,
    subnetstr(esk465_0,esk463_0,esk464_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ss5886v/lgb.p',i_0_2947) ).

cnf(i_0_2952,negated_conjecture,
    one_sorted_str(esk463_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ss5886v/lgb.p',i_0_2952) ).

cnf(i_0_2950,negated_conjecture,
    net_str(esk464_0,esk463_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ss5886v/lgb.p',i_0_2950) ).

cnf(i_0_740,plain,
    ( rel_str(X1)
    | ~ one_sorted_str(X2)
    | ~ net_str(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ss5886v/lgb.p',i_0_740) ).

cnf(i_0_738,plain,
    ( one_sorted_str(X1)
    | ~ rel_str(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ss5886v/lgb.p',i_0_738) ).

cnf(i_0_441,plain,
    ( cast_as_carrier_subset(X1) = the_carrier(X1)
    | ~ one_sorted_str(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ss5886v/lgb.p',i_0_441) ).

cnf(i_0_3166,lemma,
    ( related(X1,X2,X3)
    | X4 != X3
    | X5 != X2
    | ~ rel_str(X6)
    | ~ subrelstr(X1,X6)
    | ~ full_subrelstr(X1,X6)
    | ~ related(X6,X5,X4)
    | ~ in(X3,the_carrier(X1))
    | ~ in(X2,the_carrier(X1))
    | ~ element(X3,the_carrier(X1))
    | ~ element(X2,the_carrier(X1))
    | ~ element(X4,the_carrier(X6))
    | ~ element(X5,the_carrier(X6)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ss5886v/lgb.p',i_0_3166) ).

cnf(i_0_2913,plain,
    ( element(X1,X2)
    | ~ in(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ss5886v/lgb.p',i_0_2913) ).

cnf(i_0_2940,negated_conjecture,
    related(esk464_0,esk466_0,esk467_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ss5886v/lgb.p',i_0_2940) ).

cnf(i_0_2941,negated_conjecture,
    esk467_0 = esk469_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ss5886v/lgb.p',i_0_2941) ).

cnf(i_0_2945,negated_conjecture,
    element(esk467_0,the_carrier(esk464_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ss5886v/lgb.p',i_0_2945) ).

cnf(i_0_887,plain,
    ( empty_carrier(X1)
    | ~ one_sorted_str(X1)
    | ~ empty(cast_as_carrier_subset(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ss5886v/lgb.p',i_0_887) ).

cnf(i_0_2949,negated_conjecture,
    ~ empty_carrier(esk465_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ss5886v/lgb.p',i_0_2949) ).

cnf(i_0_2944,negated_conjecture,
    element(esk468_0,the_carrier(esk465_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ss5886v/lgb.p',i_0_2944) ).

cnf(i_0_2942,negated_conjecture,
    esk468_0 = esk466_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ss5886v/lgb.p',i_0_2942) ).

cnf(i_0_642,plain,
    ( subrelstr(X1,X2)
    | ~ one_sorted_str(X3)
    | ~ net_str(X2,X3)
    | ~ net_str(X1,X3)
    | ~ subnetstr(X1,X3,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ss5886v/lgb.p',i_0_642) ).

cnf(i_0_2946,negated_conjecture,
    element(esk466_0,the_carrier(esk464_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ss5886v/lgb.p',i_0_2946) ).

cnf(i_0_659,plain,
    ( full_subrelstr(X1,X2)
    | ~ one_sorted_str(X3)
    | ~ net_str(X2,X3)
    | ~ subnetstr(X1,X3,X2)
    | ~ full_subnetstr(X1,X3,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ss5886v/lgb.p',i_0_659) ).

cnf(i_0_2948,negated_conjecture,
    full_subnetstr(esk465_0,esk463_0,esk464_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ss5886v/lgb.p',i_0_2948) ).

cnf(i_0_391,plain,
    ( empty(X1)
    | in(X2,X1)
    | ~ element(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ss5886v/lgb.p',i_0_391) ).

cnf(i_0_2943,negated_conjecture,
    element(esk469_0,the_carrier(esk465_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ss5886v/lgb.p',i_0_2943) ).

cnf(i_0_2939,negated_conjecture,
    ~ related(esk465_0,esk468_0,esk469_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ss5886v/lgb.p',i_0_2939) ).

cnf(c_0_3190,plain,
    ( net_str(X1,X2)
    | ~ one_sorted_str(X2)
    | ~ net_str(X3,X2)
    | ~ subnetstr(X1,X2,X3) ),
    i_0_746 ).

cnf(c_0_3191,negated_conjecture,
    subnetstr(esk465_0,esk463_0,esk464_0),
    i_0_2947 ).

cnf(c_0_3192,negated_conjecture,
    one_sorted_str(esk463_0),
    i_0_2952 ).

cnf(c_0_3193,negated_conjecture,
    net_str(esk464_0,esk463_0),
    i_0_2950 ).

cnf(c_0_3194,plain,
    ( rel_str(X1)
    | ~ one_sorted_str(X2)
    | ~ net_str(X1,X2) ),
    i_0_740 ).

cnf(c_0_3195,negated_conjecture,
    net_str(esk465_0,esk463_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3190,c_0_3191]),c_0_3192]),c_0_3193])]) ).

cnf(c_0_3196,plain,
    ( one_sorted_str(X1)
    | ~ rel_str(X1) ),
    i_0_738 ).

cnf(c_0_3197,plain,
    rel_str(esk465_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3194,c_0_3195]),c_0_3192])]) ).

cnf(c_0_3198,plain,
    ( cast_as_carrier_subset(X1) = the_carrier(X1)
    | ~ one_sorted_str(X1) ),
    i_0_441 ).

cnf(c_0_3199,plain,
    one_sorted_str(esk465_0),
    inference(spm,[status(thm)],[c_0_3196,c_0_3197]) ).

cnf(c_0_3200,lemma,
    ( related(X1,X2,X3)
    | X4 != X3
    | X5 != X2
    | ~ rel_str(X6)
    | ~ subrelstr(X1,X6)
    | ~ full_subrelstr(X1,X6)
    | ~ related(X6,X5,X4)
    | ~ in(X3,the_carrier(X1))
    | ~ in(X2,the_carrier(X1))
    | ~ element(X3,the_carrier(X1))
    | ~ element(X2,the_carrier(X1))
    | ~ element(X4,the_carrier(X6))
    | ~ element(X5,the_carrier(X6)) ),
    i_0_3166 ).

cnf(c_0_3201,plain,
    ( element(X1,X2)
    | ~ in(X1,X2) ),
    i_0_2913 ).

cnf(c_0_3202,negated_conjecture,
    related(esk464_0,esk466_0,esk467_0),
    i_0_2940 ).

cnf(c_0_3203,negated_conjecture,
    esk467_0 = esk469_0,
    i_0_2941 ).

cnf(c_0_3204,negated_conjecture,
    element(esk467_0,the_carrier(esk464_0)),
    i_0_2945 ).

cnf(c_0_3205,plain,
    ( empty_carrier(X1)
    | ~ one_sorted_str(X1)
    | ~ empty(cast_as_carrier_subset(X1)) ),
    i_0_887 ).

cnf(c_0_3206,plain,
    cast_as_carrier_subset(esk465_0) = the_carrier(esk465_0),
    inference(spm,[status(thm)],[c_0_3198,c_0_3199]) ).

cnf(c_0_3207,negated_conjecture,
    ~ empty_carrier(esk465_0),
    i_0_2949 ).

cnf(c_0_3208,negated_conjecture,
    element(esk468_0,the_carrier(esk465_0)),
    i_0_2944 ).

cnf(c_0_3209,negated_conjecture,
    esk468_0 = esk466_0,
    i_0_2942 ).

cnf(c_0_3210,plain,
    ( subrelstr(X1,X2)
    | ~ one_sorted_str(X3)
    | ~ net_str(X2,X3)
    | ~ net_str(X1,X3)
    | ~ subnetstr(X1,X3,X2) ),
    i_0_642 ).

cnf(c_0_3211,lemma,
    ( related(X1,X2,X3)
    | ~ in(X3,the_carrier(X1))
    | ~ in(X2,the_carrier(X1))
    | ~ full_subrelstr(X1,X4)
    | ~ subrelstr(X1,X4)
    | ~ rel_str(X4)
    | ~ related(X4,X2,X3)
    | ~ element(X2,the_carrier(X4))
    | ~ element(X3,the_carrier(X4)) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_3200,c_0_3201]),c_0_3201])])]) ).

cnf(c_0_3212,negated_conjecture,
    related(esk464_0,esk466_0,esk469_0),
    inference(rw,[status(thm)],[c_0_3202,c_0_3203]) ).

cnf(c_0_3213,negated_conjecture,
    rel_str(esk464_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3194,c_0_3193]),c_0_3192])]) ).

cnf(c_0_3214,negated_conjecture,
    element(esk466_0,the_carrier(esk464_0)),
    i_0_2946 ).

cnf(c_0_3215,negated_conjecture,
    element(esk469_0,the_carrier(esk464_0)),
    inference(rw,[status(thm)],[c_0_3204,c_0_3203]) ).

cnf(c_0_3216,plain,
    ( full_subrelstr(X1,X2)
    | ~ one_sorted_str(X3)
    | ~ net_str(X2,X3)
    | ~ subnetstr(X1,X3,X2)
    | ~ full_subnetstr(X1,X3,X2) ),
    i_0_659 ).

cnf(c_0_3217,negated_conjecture,
    full_subnetstr(esk465_0,esk463_0,esk464_0),
    i_0_2948 ).

cnf(c_0_3218,plain,
    ( empty(X1)
    | in(X2,X1)
    | ~ element(X2,X1) ),
    i_0_391 ).

cnf(c_0_3219,negated_conjecture,
    element(esk469_0,the_carrier(esk465_0)),
    i_0_2943 ).

cnf(c_0_3220,plain,
    ~ empty(the_carrier(esk465_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3205,c_0_3206]),c_0_3199])]),c_0_3207]) ).

cnf(c_0_3221,negated_conjecture,
    element(esk466_0,the_carrier(esk465_0)),
    inference(rw,[status(thm)],[c_0_3208,c_0_3209]) ).

cnf(c_0_3222,plain,
    ( subrelstr(X1,X2)
    | ~ one_sorted_str(X3)
    | ~ net_str(X2,X3)
    | ~ subnetstr(X1,X3,X2) ),
    inference(csr,[status(thm)],[c_0_3210,c_0_3190]) ).

cnf(c_0_3223,negated_conjecture,
    ~ related(esk465_0,esk468_0,esk469_0),
    i_0_2939 ).

cnf(c_0_3224,negated_conjecture,
    ( related(X1,esk466_0,esk469_0)
    | ~ in(esk469_0,the_carrier(X1))
    | ~ in(esk466_0,the_carrier(X1))
    | ~ full_subrelstr(X1,esk464_0)
    | ~ subrelstr(X1,esk464_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3211,c_0_3212]),c_0_3213]),c_0_3214]),c_0_3215])]) ).

cnf(c_0_3225,negated_conjecture,
    full_subrelstr(esk465_0,esk464_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3216,c_0_3217]),c_0_3192]),c_0_3193]),c_0_3191])]) ).

cnf(c_0_3226,negated_conjecture,
    in(esk469_0,the_carrier(esk465_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3218,c_0_3219]),c_0_3220]) ).

cnf(c_0_3227,negated_conjecture,
    in(esk466_0,the_carrier(esk465_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3218,c_0_3221]),c_0_3220]) ).

cnf(c_0_3228,negated_conjecture,
    subrelstr(esk465_0,esk464_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3222,c_0_3191]),c_0_3192]),c_0_3193])]) ).

cnf(c_0_3229,negated_conjecture,
    ~ related(esk465_0,esk466_0,esk469_0),
    inference(rw,[status(thm)],[c_0_3223,c_0_3209]) ).

cnf(c_0_3230,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3224,c_0_3225]),c_0_3226]),c_0_3227]),c_0_3228])]),c_0_3229]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SEU375+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n028.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jun 19 17:27:47 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.45  # ENIGMATIC: Selected SinE mode:
% 0.18/0.49  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.49  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.18/0.49  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.18/0.49  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 10.95/3.57  # ENIGMATIC: Solved by autoschedule-lgb:
% 10.95/3.57  # No SInE strategy applied
% 10.95/3.57  # Trying AutoSched0 for 150 seconds
% 10.95/3.57  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S079N
% 10.95/3.57  # and selection function SelectGrCQArEqFirst.
% 10.95/3.57  #
% 10.95/3.57  # Preprocessing time       : 0.027 s
% 10.95/3.57  # Presaturation interreduction done
% 10.95/3.57  
% 10.95/3.57  # Proof found!
% 10.95/3.57  # SZS status Theorem
% 10.95/3.57  # SZS output start CNFRefutation
% See solution above
% 10.95/3.57  # Training examples: 0 positive, 0 negative
% 10.95/3.57  
% 10.95/3.57  # -------------------------------------------------
% 10.95/3.57  # User time                : 0.135 s
% 10.95/3.57  # System time              : 0.009 s
% 10.95/3.57  # Total time               : 0.145 s
% 10.95/3.57  # Maximum resident set size: 7220 pages
% 10.95/3.57  
%------------------------------------------------------------------------------