TSTP Solution File: SEU391+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU391+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n012.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 08:41:49 EDT 2022

% Result   : Theorem 9.53s 3.48s
% Output   : CNFRefutation 9.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   34 (  13 unt;  17 nHn;  34 RR)
%            Number of literals    :  104 (   7 equ;  50 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   :   34 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_1438,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-ril84n2y/lgb.p',i_0_1438) ).

cnf(i_0_3429,negated_conjecture,
    ( element(esk509_0,powerset(the_carrier(esk507_0)))
    | in(esk509_0,filter_of_net_str(esk507_0,esk508_0)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ril84n2y/lgb.p',i_0_3429) ).

cnf(i_0_653,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-ril84n2y/lgb.p',i_0_653) ).

cnf(i_0_3434,negated_conjecture,
    one_sorted_str(esk507_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ril84n2y/lgb.p',i_0_3434) ).

cnf(i_0_3432,negated_conjecture,
    net_str(esk508_0,esk507_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ril84n2y/lgb.p',i_0_3432) ).

cnf(i_0_3433,negated_conjecture,
    ~ empty_carrier(esk508_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ril84n2y/lgb.p',i_0_3433) ).

cnf(i_0_3435,negated_conjecture,
    ~ empty_carrier(esk507_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ril84n2y/lgb.p',i_0_3435) ).

cnf(i_0_3430,negated_conjecture,
    ( is_eventually_in(esk507_0,esk508_0,esk509_0)
    | in(esk509_0,filter_of_net_str(esk507_0,esk508_0)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ril84n2y/lgb.p',i_0_3430) ).

cnf(i_0_1440,plain,
    ( esk167_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-ril84n2y/lgb.p',i_0_1440) ).

cnf(i_0_1439,plain,
    ( empty_carrier(X1)
    | empty_carrier(X2)
    | is_eventually_in(X2,X1,esk167_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-ril84n2y/lgb.p',i_0_1439) ).

cnf(i_0_3431,negated_conjecture,
    ( ~ is_eventually_in(esk507_0,esk508_0,esk509_0)
    | ~ element(esk509_0,powerset(the_carrier(esk507_0)))
    | ~ in(esk509_0,filter_of_net_str(esk507_0,esk508_0)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ril84n2y/lgb.p',i_0_3431) ).

cnf(i_0_1441,plain,
    ( empty_carrier(X1)
    | empty_carrier(X2)
    | element(esk167_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-ril84n2y/lgb.p',i_0_1441) ).

cnf(c_0_3448,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_1438 ).

cnf(c_0_3449,negated_conjecture,
    ( element(esk509_0,powerset(the_carrier(esk507_0)))
    | in(esk509_0,filter_of_net_str(esk507_0,esk508_0)) ),
    i_0_3429 ).

cnf(c_0_3450,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_653 ).

cnf(c_0_3451,negated_conjecture,
    one_sorted_str(esk507_0),
    i_0_3434 ).

cnf(c_0_3452,negated_conjecture,
    net_str(esk508_0,esk507_0),
    i_0_3432 ).

cnf(c_0_3453,negated_conjecture,
    ~ empty_carrier(esk508_0),
    i_0_3433 ).

cnf(c_0_3454,negated_conjecture,
    ~ empty_carrier(esk507_0),
    i_0_3435 ).

cnf(c_0_3455,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_3448]) ).

cnf(c_0_3456,negated_conjecture,
    ( is_eventually_in(esk507_0,esk508_0,esk509_0)
    | in(esk509_0,filter_of_net_str(esk507_0,esk508_0)) ),
    i_0_3430 ).

cnf(c_0_3457,negated_conjecture,
    ( element(esk509_0,powerset(the_carrier(esk507_0)))
    | in(esk509_0,a_2_1_yellow19(esk507_0,esk508_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_3449,c_0_3450]),c_0_3451]),c_0_3452])]),c_0_3453]),c_0_3454]) ).

cnf(c_0_3458,negated_conjecture,
    ( in(esk509_0,filter_of_net_str(esk507_0,esk508_0))
    | in(esk509_0,a_2_1_yellow19(esk507_0,esk508_0)) ),
    inference(csr,[status(thm)],[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_3455,c_0_3456]),c_0_3451]),c_0_3452])]),c_0_3453]),c_0_3454]),c_0_3457]) ).

cnf(c_0_3459,plain,
    ( esk167_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_1440 ).

cnf(c_0_3460,plain,
    in(esk509_0,a_2_1_yellow19(esk507_0,esk508_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_3458,c_0_3450]),c_0_3451]),c_0_3452])]),c_0_3453]),c_0_3454]) ).

cnf(c_0_3461,plain,
    ( empty_carrier(X1)
    | empty_carrier(X2)
    | is_eventually_in(X2,X1,esk167_3(X3,X2,X1))
    | ~ one_sorted_str(X2)
    | ~ net_str(X1,X2)
    | ~ in(X3,a_2_1_yellow19(X2,X1)) ),
    i_0_1439 ).

cnf(c_0_3462,plain,
    esk167_3(esk509_0,esk507_0,esk508_0) = esk509_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_3459,c_0_3460]),c_0_3451]),c_0_3452])]),c_0_3453]),c_0_3454]) ).

cnf(c_0_3463,negated_conjecture,
    ( ~ is_eventually_in(esk507_0,esk508_0,esk509_0)
    | ~ element(esk509_0,powerset(the_carrier(esk507_0)))
    | ~ in(esk509_0,filter_of_net_str(esk507_0,esk508_0)) ),
    i_0_3431 ).

cnf(c_0_3464,plain,
    is_eventually_in(esk507_0,esk508_0,esk509_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_3461,c_0_3462]),c_0_3451]),c_0_3452]),c_0_3460])]),c_0_3454]),c_0_3453]) ).

cnf(c_0_3465,plain,
    ( empty_carrier(X1)
    | empty_carrier(X2)
    | element(esk167_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_1441 ).

cnf(c_0_3466,negated_conjecture,
    ( ~ element(esk509_0,powerset(the_carrier(esk507_0)))
    | ~ in(esk509_0,filter_of_net_str(esk507_0,esk508_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3463,c_0_3464])]) ).

cnf(c_0_3467,negated_conjecture,
    ( element(esk167_3(X1,esk507_0,esk508_0),powerset(the_carrier(esk507_0)))
    | ~ in(X1,a_2_1_yellow19(esk507_0,esk508_0)) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3465,c_0_3452]),c_0_3451])]),c_0_3454]),c_0_3453]) ).

cnf(c_0_3468,plain,
    ~ element(esk509_0,powerset(the_carrier(esk507_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_3466,c_0_3450]),c_0_3460]),c_0_3451]),c_0_3452])]),c_0_3453]),c_0_3454]) ).

cnf(c_0_3469,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3467,c_0_3462]),c_0_3460])]),c_0_3468]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SEU391+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 : n012.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 : Mon Jun 20 04:09:39 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.45  # ENIGMATIC: Selected SinE mode:
% 0.18/0.50  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.50  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.18/0.50  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.18/0.50  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 9.53/3.48  # ENIGMATIC: Solved by autoschedule-lgb:
% 9.53/3.48  # No SInE strategy applied
% 9.53/3.48  # Trying AutoSched0 for 150 seconds
% 9.53/3.48  # AutoSched0-Mode selected heuristic G_E___107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y
% 9.53/3.48  # and selection function SelectMaxLComplexAvoidPosPred.
% 9.53/3.48  #
% 9.53/3.48  # Preprocessing time       : 0.027 s
% 9.53/3.48  # Presaturation interreduction done
% 9.53/3.48  
% 9.53/3.48  # Proof found!
% 9.53/3.48  # SZS status Theorem
% 9.53/3.48  # SZS output start CNFRefutation
% See solution above
% 9.53/3.48  # Training examples: 0 positive, 0 negative
% 9.53/3.48  
% 9.53/3.48  # -------------------------------------------------
% 9.53/3.48  # User time                : 0.081 s
% 9.53/3.48  # System time              : 0.007 s
% 9.53/3.48  # Total time               : 0.088 s
% 9.53/3.48  # Maximum resident set size: 7284 pages
% 9.53/3.48  
%------------------------------------------------------------------------------