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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU383+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n027.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 08:41:44 EDT 2022

% Result   : Theorem 15.81s 4.19s
% Output   : CNFRefutation 15.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   22
% Syntax   : Number of clauses     :   60 (  22 unt;  14 nHn;  55 RR)
%            Number of literals    :  140 (  16 equ;  71 neg)
%            Maximal clause size   :    8 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :   65 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_3482,plain,
    ( subset(X1,X2)
    | ~ element(X1,powerset(X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-suedtu1z/lgb.p',i_0_3482) ).

cnf(i_0_3634,negated_conjecture,
    element(esk528_0,powerset(the_carrier(esk527_0))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-suedtu1z/lgb.p',i_0_3634) ).

cnf(i_0_620,plain,
    ( in(X1,X2)
    | ~ in(X1,X3)
    | ~ subset(X3,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-suedtu1z/lgb.p',i_0_620) ).

cnf(i_0_3412,plain,
    ( X1 = X2
    | in(esk505_2(X1,X2),X2)
    | in(esk505_2(X1,X2),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-suedtu1z/lgb.p',i_0_3412) ).

cnf(i_0_531,plain,
    ( in(X1,X2)
    | ~ rel_str(X3)
    | ~ in(X4,X2)
    | ~ upper_relstr_subset(X2,X3)
    | ~ related(X3,X4,X1)
    | ~ element(X1,the_carrier(X3))
    | ~ element(X4,the_carrier(X3))
    | ~ element(X2,powerset(the_carrier(X3))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-suedtu1z/lgb.p',i_0_531) ).

cnf(i_0_3532,plain,
    ( element(X1,X2)
    | ~ in(X1,X3)
    | ~ element(X3,powerset(X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-suedtu1z/lgb.p',i_0_3532) ).

cnf(i_0_3336,plain,
    ( element(X1,X2)
    | ~ in(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-suedtu1z/lgb.p',i_0_3336) ).

cnf(i_0_3573,lemma,
    ( X1 = X2
    | proper_element(X1,powerset(X2))
    | ~ element(X1,powerset(X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-suedtu1z/lgb.p',i_0_3573) ).

cnf(i_0_3635,negated_conjecture,
    upper_relstr_subset(esk528_0,esk527_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-suedtu1z/lgb.p',i_0_3635) ).

cnf(i_0_3638,negated_conjecture,
    rel_str(esk527_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-suedtu1z/lgb.p',i_0_3638) ).

cnf(i_0_3506,lemma,
    ( empty_carrier(X1)
    | related(X1,bottom_of_relstr(X1),X2)
    | ~ rel_str(X1)
    | ~ antisymmetric_relstr(X1)
    | ~ lower_bounded_relstr(X1)
    | ~ element(X2,the_carrier(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-suedtu1z/lgb.p',i_0_3506) ).

cnf(i_0_3639,negated_conjecture,
    lower_bounded_relstr(esk527_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-suedtu1z/lgb.p',i_0_3639) ).

cnf(i_0_3640,negated_conjecture,
    antisymmetric_relstr(esk527_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-suedtu1z/lgb.p',i_0_3640) ).

cnf(i_0_3643,negated_conjecture,
    ~ empty_carrier(esk527_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-suedtu1z/lgb.p',i_0_3643) ).

cnf(i_0_3633,negated_conjecture,
    ( in(bottom_of_relstr(esk527_0),esk528_0)
    | ~ proper_element(esk528_0,powerset(the_carrier(esk527_0))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-suedtu1z/lgb.p',i_0_3633) ).

cnf(i_0_3413,plain,
    ( X1 = X2
    | ~ in(esk505_2(X1,X2),X2)
    | ~ in(esk505_2(X1,X2),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-suedtu1z/lgb.p',i_0_3413) ).

cnf(i_0_3574,lemma,
    ( X1 != X2
    | ~ element(X1,powerset(X2))
    | ~ proper_element(X1,powerset(X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-suedtu1z/lgb.p',i_0_3574) ).

cnf(i_0_875,plain,
    element(X1,powerset(X1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-suedtu1z/lgb.p',i_0_875) ).

cnf(i_0_888,plain,
    ( element(bottom_of_relstr(X1),the_carrier(X1))
    | ~ rel_str(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-suedtu1z/lgb.p',i_0_888) ).

cnf(i_0_3632,negated_conjecture,
    ( proper_element(esk528_0,powerset(the_carrier(esk527_0)))
    | ~ in(bottom_of_relstr(esk527_0),esk528_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-suedtu1z/lgb.p',i_0_3632) ).

cnf(i_0_557,plain,
    ( empty(X1)
    | in(X2,X1)
    | ~ element(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-suedtu1z/lgb.p',i_0_557) ).

cnf(i_0_3637,negated_conjecture,
    ~ empty(esk528_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-suedtu1z/lgb.p',i_0_3637) ).

cnf(c_0_3666,plain,
    ( subset(X1,X2)
    | ~ element(X1,powerset(X2)) ),
    i_0_3482 ).

cnf(c_0_3667,negated_conjecture,
    element(esk528_0,powerset(the_carrier(esk527_0))),
    i_0_3634 ).

cnf(c_0_3668,plain,
    ( in(X1,X2)
    | ~ in(X1,X3)
    | ~ subset(X3,X2) ),
    i_0_620 ).

cnf(c_0_3669,negated_conjecture,
    subset(esk528_0,the_carrier(esk527_0)),
    inference(spm,[status(thm)],[c_0_3666,c_0_3667]) ).

cnf(c_0_3670,negated_conjecture,
    ( in(X1,the_carrier(esk527_0))
    | ~ in(X1,esk528_0) ),
    inference(spm,[status(thm)],[c_0_3668,c_0_3669]) ).

cnf(c_0_3671,plain,
    ( X1 = X2
    | in(esk505_2(X1,X2),X2)
    | in(esk505_2(X1,X2),X1) ),
    i_0_3412 ).

cnf(c_0_3672,negated_conjecture,
    ( esk528_0 = X1
    | in(esk505_2(esk528_0,X1),the_carrier(esk527_0))
    | in(esk505_2(esk528_0,X1),X1) ),
    inference(spm,[status(thm)],[c_0_3670,c_0_3671]) ).

cnf(c_0_3673,plain,
    ( in(X1,X2)
    | ~ rel_str(X3)
    | ~ in(X4,X2)
    | ~ upper_relstr_subset(X2,X3)
    | ~ related(X3,X4,X1)
    | ~ element(X1,the_carrier(X3))
    | ~ element(X4,the_carrier(X3))
    | ~ element(X2,powerset(the_carrier(X3))) ),
    i_0_531 ).

cnf(c_0_3674,plain,
    ( element(X1,X2)
    | ~ in(X1,X3)
    | ~ element(X3,powerset(X2)) ),
    i_0_3532 ).

cnf(c_0_3675,plain,
    ( element(X1,X2)
    | ~ in(X1,X2) ),
    i_0_3336 ).

cnf(c_0_3676,negated_conjecture,
    ( the_carrier(esk527_0) = esk528_0
    | in(esk505_2(esk528_0,the_carrier(esk527_0)),the_carrier(esk527_0)) ),
    inference(ef,[status(thm)],[c_0_3672]) ).

cnf(c_0_3677,lemma,
    ( X1 = X2
    | proper_element(X1,powerset(X2))
    | ~ element(X1,powerset(X2)) ),
    i_0_3573 ).

cnf(c_0_3678,plain,
    ( in(X1,X2)
    | ~ related(X3,X4,X1)
    | ~ rel_str(X3)
    | ~ upper_relstr_subset(X2,X3)
    | ~ element(X2,powerset(the_carrier(X3)))
    | ~ element(X1,the_carrier(X3))
    | ~ in(X4,X2) ),
    inference(csr,[status(thm)],[c_0_3673,c_0_3674]) ).

cnf(c_0_3679,negated_conjecture,
    upper_relstr_subset(esk528_0,esk527_0),
    i_0_3635 ).

cnf(c_0_3680,negated_conjecture,
    rel_str(esk527_0),
    i_0_3638 ).

cnf(c_0_3681,lemma,
    ( empty_carrier(X1)
    | related(X1,bottom_of_relstr(X1),X2)
    | ~ rel_str(X1)
    | ~ antisymmetric_relstr(X1)
    | ~ lower_bounded_relstr(X1)
    | ~ element(X2,the_carrier(X1)) ),
    i_0_3506 ).

cnf(c_0_3682,plain,
    ( the_carrier(esk527_0) = esk528_0
    | element(esk505_2(esk528_0,the_carrier(esk527_0)),the_carrier(esk527_0)) ),
    inference(spm,[status(thm)],[c_0_3675,c_0_3676]) ).

cnf(c_0_3683,negated_conjecture,
    lower_bounded_relstr(esk527_0),
    i_0_3639 ).

cnf(c_0_3684,negated_conjecture,
    antisymmetric_relstr(esk527_0),
    i_0_3640 ).

cnf(c_0_3685,negated_conjecture,
    ~ empty_carrier(esk527_0),
    i_0_3643 ).

cnf(c_0_3686,negated_conjecture,
    ( in(bottom_of_relstr(esk527_0),esk528_0)
    | ~ proper_element(esk528_0,powerset(the_carrier(esk527_0))) ),
    i_0_3633 ).

cnf(c_0_3687,negated_conjecture,
    ( the_carrier(esk527_0) = esk528_0
    | proper_element(esk528_0,powerset(the_carrier(esk527_0))) ),
    inference(spm,[status(thm)],[c_0_3677,c_0_3667]) ).

cnf(c_0_3688,plain,
    ( X1 = X2
    | ~ in(esk505_2(X1,X2),X2)
    | ~ in(esk505_2(X1,X2),X1) ),
    i_0_3413 ).

cnf(c_0_3689,negated_conjecture,
    ( in(X1,esk528_0)
    | ~ related(esk527_0,X2,X1)
    | ~ element(X1,the_carrier(esk527_0))
    | ~ in(X2,esk528_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3678,c_0_3679]),c_0_3680]),c_0_3667])]) ).

cnf(c_0_3690,lemma,
    ( the_carrier(esk527_0) = esk528_0
    | related(esk527_0,bottom_of_relstr(esk527_0),esk505_2(esk528_0,the_carrier(esk527_0))) ),
    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_3681,c_0_3682]),c_0_3683]),c_0_3684]),c_0_3680])]),c_0_3685]) ).

cnf(c_0_3691,negated_conjecture,
    ( the_carrier(esk527_0) = esk528_0
    | in(bottom_of_relstr(esk527_0),esk528_0) ),
    inference(spm,[status(thm)],[c_0_3686,c_0_3687]) ).

cnf(c_0_3692,plain,
    ( the_carrier(esk527_0) = esk528_0
    | ~ in(esk505_2(esk528_0,the_carrier(esk527_0)),esk528_0) ),
    inference(spm,[status(thm)],[c_0_3688,c_0_3676]) ).

cnf(c_0_3693,lemma,
    ( X1 != X2
    | ~ element(X1,powerset(X2))
    | ~ proper_element(X1,powerset(X2)) ),
    i_0_3574 ).

cnf(c_0_3694,plain,
    element(X1,powerset(X1)),
    i_0_875 ).

cnf(c_0_3695,plain,
    ( element(bottom_of_relstr(X1),the_carrier(X1))
    | ~ rel_str(X1) ),
    i_0_888 ).

cnf(c_0_3696,lemma,
    the_carrier(esk527_0) = esk528_0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3689,c_0_3690]),c_0_3691]),c_0_3682]),c_0_3692]) ).

cnf(c_0_3697,negated_conjecture,
    ( proper_element(esk528_0,powerset(the_carrier(esk527_0)))
    | ~ in(bottom_of_relstr(esk527_0),esk528_0) ),
    i_0_3632 ).

cnf(c_0_3698,lemma,
    ~ proper_element(X1,powerset(X1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_3693]),c_0_3694])]) ).

cnf(c_0_3699,plain,
    ( empty(X1)
    | in(X2,X1)
    | ~ element(X2,X1) ),
    i_0_557 ).

cnf(c_0_3700,plain,
    element(bottom_of_relstr(esk527_0),esk528_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3695,c_0_3696]),c_0_3680])]) ).

cnf(c_0_3701,negated_conjecture,
    ~ empty(esk528_0),
    i_0_3637 ).

cnf(c_0_3702,negated_conjecture,
    ~ in(bottom_of_relstr(esk527_0),esk528_0),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_3697,c_0_3696]),c_0_3698]) ).

cnf(c_0_3703,plain,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3699,c_0_3700]),c_0_3701]),c_0_3702]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU383+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.33  % Computer : n027.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 10:19:41 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.18/0.46  # ENIGMATIC: Selected SinE mode:
% 0.18/0.51  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.51  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.18/0.51  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.18/0.51  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 15.81/4.19  # ENIGMATIC: Solved by autoschedule-lgb:
% 15.81/4.19  # No SInE strategy applied
% 15.81/4.19  # Trying AutoSched0 for 150 seconds
% 15.81/4.19  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 15.81/4.19  # and selection function SelectCQIPrecWNTNp.
% 15.81/4.19  #
% 15.81/4.19  # Preprocessing time       : 0.034 s
% 15.81/4.19  # Presaturation interreduction done
% 15.81/4.19  
% 15.81/4.19  # Proof found!
% 15.81/4.19  # SZS status Theorem
% 15.81/4.19  # SZS output start CNFRefutation
% See solution above
% 15.81/4.19  # Training examples: 0 positive, 0 negative
% 15.81/4.19  
% 15.81/4.19  # -------------------------------------------------
% 15.81/4.19  # User time                : 0.830 s
% 15.81/4.19  # System time              : 0.020 s
% 15.81/4.19  # Total time               : 0.850 s
% 15.81/4.19  # Maximum resident set size: 7256 pages
% 15.81/4.19  
%------------------------------------------------------------------------------