TSTP Solution File: SEU391+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU391+1 : 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 08:41:48 EDT 2022

% Result   : Theorem 8.55s 2.45s
% Output   : CNFRefutation 8.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   35 (  13 unt;  15 nHn;  35 RR)
%            Number of literals    :  107 (   8 equ;  54 neg)
%            Maximal clause size   :    8 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-3 aty)
%            Number of variables   :   37 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_55,plain,
    ( a_2_1_yellow19(X1,X2) = filter_of_net_str(X1,X2)
    | empty_carrier(X2)
    | empty_carrier(X1)
    | ~ one_sorted_str(X1)
    | ~ net_str(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bnuwj9qq/lgb.p',i_0_55) ).

cnf(i_0_317,negated_conjecture,
    net_str(esk36_0,esk35_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bnuwj9qq/lgb.p',i_0_317) ).

cnf(i_0_319,negated_conjecture,
    one_sorted_str(esk35_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bnuwj9qq/lgb.p',i_0_319) ).

cnf(i_0_320,negated_conjecture,
    ~ empty_carrier(esk35_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bnuwj9qq/lgb.p',i_0_320) ).

cnf(i_0_318,negated_conjecture,
    ~ empty_carrier(esk36_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bnuwj9qq/lgb.p',i_0_318) ).

cnf(i_0_171,plain,
    ( esk7_3(X1,X2,X3) = X1
    | empty_carrier(X3)
    | empty_carrier(X2)
    | ~ one_sorted_str(X2)
    | ~ net_str(X3,X2)
    | ~ in(X1,a_2_1_yellow19(X2,X3)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bnuwj9qq/lgb.p',i_0_171) ).

cnf(i_0_172,plain,
    ( empty_carrier(X1)
    | empty_carrier(X2)
    | element(esk7_3(X3,X2,X1),powerset(the_carrier(X2)))
    | ~ one_sorted_str(X2)
    | ~ net_str(X1,X2)
    | ~ in(X3,a_2_1_yellow19(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bnuwj9qq/lgb.p',i_0_172) ).

cnf(i_0_170,plain,
    ( empty_carrier(X1)
    | empty_carrier(X2)
    | is_eventually_in(X2,X1,esk7_3(X3,X2,X1))
    | ~ one_sorted_str(X2)
    | ~ net_str(X1,X2)
    | ~ in(X3,a_2_1_yellow19(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bnuwj9qq/lgb.p',i_0_170) ).

cnf(i_0_316,negated_conjecture,
    ( ~ is_eventually_in(esk35_0,esk36_0,esk37_0)
    | ~ element(esk37_0,powerset(the_carrier(esk35_0)))
    | ~ in(esk37_0,filter_of_net_str(esk35_0,esk36_0)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bnuwj9qq/lgb.p',i_0_316) ).

cnf(i_0_315,negated_conjecture,
    ( is_eventually_in(esk35_0,esk36_0,esk37_0)
    | in(esk37_0,filter_of_net_str(esk35_0,esk36_0)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bnuwj9qq/lgb.p',i_0_315) ).

cnf(i_0_169,plain,
    ( empty_carrier(X1)
    | empty_carrier(X2)
    | in(X3,a_2_1_yellow19(X2,X1))
    | X4 != X3
    | ~ one_sorted_str(X2)
    | ~ net_str(X1,X2)
    | ~ is_eventually_in(X2,X1,X4)
    | ~ element(X4,powerset(the_carrier(X2))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bnuwj9qq/lgb.p',i_0_169) ).

cnf(i_0_314,negated_conjecture,
    ( element(esk37_0,powerset(the_carrier(esk35_0)))
    | in(esk37_0,filter_of_net_str(esk35_0,esk36_0)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bnuwj9qq/lgb.p',i_0_314) ).

cnf(c_0_333,plain,
    ( a_2_1_yellow19(X1,X2) = filter_of_net_str(X1,X2)
    | empty_carrier(X2)
    | empty_carrier(X1)
    | ~ one_sorted_str(X1)
    | ~ net_str(X2,X1) ),
    i_0_55 ).

cnf(c_0_334,negated_conjecture,
    net_str(esk36_0,esk35_0),
    i_0_317 ).

cnf(c_0_335,negated_conjecture,
    one_sorted_str(esk35_0),
    i_0_319 ).

cnf(c_0_336,negated_conjecture,
    ~ empty_carrier(esk35_0),
    i_0_320 ).

cnf(c_0_337,negated_conjecture,
    ~ empty_carrier(esk36_0),
    i_0_318 ).

cnf(c_0_338,plain,
    ( esk7_3(X1,X2,X3) = X1
    | empty_carrier(X3)
    | empty_carrier(X2)
    | ~ one_sorted_str(X2)
    | ~ net_str(X3,X2)
    | ~ in(X1,a_2_1_yellow19(X2,X3)) ),
    i_0_171 ).

cnf(c_0_339,negated_conjecture,
    a_2_1_yellow19(esk35_0,esk36_0) = filter_of_net_str(esk35_0,esk36_0),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_334]),c_0_335])]),c_0_336]),c_0_337]) ).

cnf(c_0_340,plain,
    ( empty_carrier(X1)
    | empty_carrier(X2)
    | element(esk7_3(X3,X2,X1),powerset(the_carrier(X2)))
    | ~ one_sorted_str(X2)
    | ~ net_str(X1,X2)
    | ~ in(X3,a_2_1_yellow19(X2,X1)) ),
    i_0_172 ).

cnf(c_0_341,plain,
    ( esk7_3(X1,esk35_0,esk36_0) = X1
    | ~ in(X1,filter_of_net_str(esk35_0,esk36_0)) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_339]),c_0_335]),c_0_334])]),c_0_336]),c_0_337]) ).

cnf(c_0_342,plain,
    ( empty_carrier(X1)
    | empty_carrier(X2)
    | is_eventually_in(X2,X1,esk7_3(X3,X2,X1))
    | ~ one_sorted_str(X2)
    | ~ net_str(X1,X2)
    | ~ in(X3,a_2_1_yellow19(X2,X1)) ),
    i_0_170 ).

cnf(c_0_343,negated_conjecture,
    ( ~ is_eventually_in(esk35_0,esk36_0,esk37_0)
    | ~ element(esk37_0,powerset(the_carrier(esk35_0)))
    | ~ in(esk37_0,filter_of_net_str(esk35_0,esk36_0)) ),
    i_0_316 ).

cnf(c_0_344,plain,
    ( element(X1,powerset(the_carrier(esk35_0)))
    | ~ in(X1,filter_of_net_str(esk35_0,esk36_0)) ),
    inference(sr,[status(thm)],[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_340,c_0_341]),c_0_335]),c_0_334]),c_0_339])]),c_0_337]),c_0_336]) ).

cnf(c_0_345,plain,
    ( is_eventually_in(esk35_0,esk36_0,X1)
    | ~ in(X1,filter_of_net_str(esk35_0,esk36_0)) ),
    inference(sr,[status(thm)],[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_342,c_0_341]),c_0_335]),c_0_334]),c_0_339])]),c_0_337]),c_0_336]) ).

cnf(c_0_346,negated_conjecture,
    ( is_eventually_in(esk35_0,esk36_0,esk37_0)
    | in(esk37_0,filter_of_net_str(esk35_0,esk36_0)) ),
    i_0_315 ).

cnf(c_0_347,plain,
    ( empty_carrier(X1)
    | empty_carrier(X2)
    | in(X3,a_2_1_yellow19(X2,X1))
    | X4 != X3
    | ~ one_sorted_str(X2)
    | ~ net_str(X1,X2)
    | ~ is_eventually_in(X2,X1,X4)
    | ~ element(X4,powerset(the_carrier(X2))) ),
    i_0_169 ).

cnf(c_0_348,negated_conjecture,
    ( ~ in(esk37_0,filter_of_net_str(esk35_0,esk36_0))
    | ~ is_eventually_in(esk35_0,esk36_0,esk37_0) ),
    inference(spm,[status(thm)],[c_0_343,c_0_344]) ).

cnf(c_0_349,negated_conjecture,
    is_eventually_in(esk35_0,esk36_0,esk37_0),
    inference(spm,[status(thm)],[c_0_345,c_0_346]) ).

cnf(c_0_350,plain,
    ( empty_carrier(X1)
    | empty_carrier(X2)
    | in(X3,a_2_1_yellow19(X1,X2))
    | ~ one_sorted_str(X1)
    | ~ net_str(X2,X1)
    | ~ element(X3,powerset(the_carrier(X1)))
    | ~ is_eventually_in(X1,X2,X3) ),
    inference(er,[status(thm)],[c_0_347]) ).

cnf(c_0_351,negated_conjecture,
    ( element(esk37_0,powerset(the_carrier(esk35_0)))
    | in(esk37_0,filter_of_net_str(esk35_0,esk36_0)) ),
    i_0_314 ).

cnf(c_0_352,negated_conjecture,
    ~ in(esk37_0,filter_of_net_str(esk35_0,esk36_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_348,c_0_349])]) ).

cnf(c_0_353,negated_conjecture,
    ( in(X1,filter_of_net_str(esk35_0,esk36_0))
    | ~ element(X1,powerset(the_carrier(esk35_0)))
    | ~ is_eventually_in(esk35_0,esk36_0,X1) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_339]),c_0_335]),c_0_334])]),c_0_336]),c_0_337]) ).

cnf(c_0_354,negated_conjecture,
    element(esk37_0,powerset(the_carrier(esk35_0))),
    inference(sr,[status(thm)],[c_0_351,c_0_352]) ).

cnf(c_0_355,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_354]),c_0_349])]),c_0_352]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU391+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.33  % Computer : n028.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Mon Jun 20 01:40:47 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 8.55/2.45  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.55/2.45  # No SInE strategy applied
% 8.55/2.45  # Trying AutoSched0 for 150 seconds
% 8.55/2.45  # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_RG_S04BN
% 8.55/2.45  # and selection function PSelectComplexExceptUniqMaxHorn.
% 8.55/2.45  #
% 8.55/2.45  # Preprocessing time       : 0.025 s
% 8.55/2.45  
% 8.55/2.45  # Proof found!
% 8.55/2.45  # SZS status Theorem
% 8.55/2.45  # SZS output start CNFRefutation
% See solution above
% 8.55/2.45  # Training examples: 0 positive, 0 negative
% 8.55/2.45  
% 8.55/2.45  # -------------------------------------------------
% 8.55/2.45  # User time                : 0.029 s
% 8.55/2.45  # System time              : 0.010 s
% 8.55/2.45  # Total time               : 0.038 s
% 8.55/2.45  # Maximum resident set size: 7124 pages
% 8.55/2.45  
%------------------------------------------------------------------------------