TSTP Solution File: SEU107+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU107+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n018.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 08:38:29 EDT 2022

% Result   : Theorem 7.67s 2.36s
% Output   : CNFRefutation 7.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   26 (  14 unt;  10 nHn;  21 RR)
%            Number of literals    :   58 (   8 equ;  26 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-3 aty)
%            Number of variables   :   31 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_41,plain,
    ( prebool_difference(X1,X2,X3) = set_difference(X2,X3)
    | empty(X1)
    | ~ preboolean(X1)
    | ~ element(X3,X1)
    | ~ element(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w9tihe70/lgb.p',i_0_41) ).

cnf(i_0_8,plain,
    element(esk1_1(X1),X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w9tihe70/lgb.p',i_0_8) ).

cnf(i_0_48,plain,
    ( set_difference(X1,X2) = empty_set
    | ~ subset(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w9tihe70/lgb.p',i_0_48) ).

cnf(i_0_42,plain,
    subset(X1,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w9tihe70/lgb.p',i_0_42) ).

cnf(i_0_7,plain,
    ( empty(X1)
    | element(prebool_difference(X1,X2,X3),X1)
    | ~ preboolean(X1)
    | ~ element(X3,X1)
    | ~ element(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w9tihe70/lgb.p',i_0_7) ).

cnf(i_0_44,negated_conjecture,
    preboolean(esk11_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w9tihe70/lgb.p',i_0_44) ).

cnf(i_0_45,negated_conjecture,
    ~ empty(esk11_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w9tihe70/lgb.p',i_0_45) ).

cnf(i_0_47,plain,
    ( empty(X1)
    | in(X2,X1)
    | ~ element(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w9tihe70/lgb.p',i_0_47) ).

cnf(i_0_43,negated_conjecture,
    ~ in(empty_set,esk11_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w9tihe70/lgb.p',i_0_43) ).

cnf(c_0_58,plain,
    ( prebool_difference(X1,X2,X3) = set_difference(X2,X3)
    | empty(X1)
    | ~ preboolean(X1)
    | ~ element(X3,X1)
    | ~ element(X2,X1) ),
    i_0_41 ).

cnf(c_0_59,plain,
    element(esk1_1(X1),X1),
    i_0_8 ).

cnf(c_0_60,plain,
    ( set_difference(X1,X2) = empty_set
    | ~ subset(X1,X2) ),
    i_0_48 ).

cnf(c_0_61,plain,
    subset(X1,X1),
    i_0_42 ).

cnf(c_0_62,plain,
    ( empty(X1)
    | element(prebool_difference(X1,X2,X3),X1)
    | ~ preboolean(X1)
    | ~ element(X3,X1)
    | ~ element(X2,X1) ),
    i_0_7 ).

cnf(c_0_63,plain,
    ( prebool_difference(X1,X2,esk1_1(X1)) = set_difference(X2,esk1_1(X1))
    | empty(X1)
    | ~ element(X2,X1)
    | ~ preboolean(X1) ),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_64,plain,
    set_difference(X1,X1) = empty_set,
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_65,plain,
    ( element(prebool_difference(X1,X2,esk1_1(X1)),X1)
    | empty(X1)
    | ~ element(X2,X1)
    | ~ preboolean(X1) ),
    inference(spm,[status(thm)],[c_0_62,c_0_59]) ).

cnf(c_0_66,plain,
    ( prebool_difference(X1,esk1_1(X1),esk1_1(X1)) = empty_set
    | empty(X1)
    | ~ preboolean(X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_59]),c_0_64]) ).

cnf(c_0_67,negated_conjecture,
    preboolean(esk11_0),
    i_0_44 ).

cnf(c_0_68,negated_conjecture,
    ~ empty(esk11_0),
    i_0_45 ).

cnf(c_0_69,plain,
    ( element(prebool_difference(X1,esk1_1(X1),esk1_1(X1)),X1)
    | empty(X1)
    | ~ preboolean(X1) ),
    inference(spm,[status(thm)],[c_0_65,c_0_59]) ).

cnf(c_0_70,negated_conjecture,
    prebool_difference(esk11_0,esk1_1(esk11_0),esk1_1(esk11_0)) = empty_set,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68]) ).

cnf(c_0_71,plain,
    ( empty(X1)
    | in(X2,X1)
    | ~ element(X2,X1) ),
    i_0_47 ).

cnf(c_0_72,negated_conjecture,
    element(empty_set,esk11_0),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_67]),c_0_70]),c_0_68]) ).

cnf(c_0_73,negated_conjecture,
    ~ in(empty_set,esk11_0),
    i_0_43 ).

cnf(c_0_74,plain,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_68]),c_0_73]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SEU107+1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n018.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 19:28:36 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 7.67/2.36  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.67/2.36  # No SInE strategy applied
% 7.67/2.36  # Trying AutoSched0 for 150 seconds
% 7.67/2.36  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN
% 7.67/2.36  # and selection function SelectComplexExceptUniqMaxHorn.
% 7.67/2.36  #
% 7.67/2.36  # Preprocessing time       : 0.012 s
% 7.67/2.36  # Presaturation interreduction done
% 7.67/2.36  
% 7.67/2.36  # Proof found!
% 7.67/2.36  # SZS status Theorem
% 7.67/2.36  # SZS output start CNFRefutation
% See solution above
% 7.67/2.36  # Training examples: 0 positive, 0 negative
% 7.67/2.36  
% 7.67/2.36  # -------------------------------------------------
% 7.67/2.36  # User time                : 0.020 s
% 7.67/2.36  # System time              : 0.003 s
% 7.67/2.36  # Total time               : 0.023 s
% 7.67/2.36  # Maximum resident set size: 7124 pages
% 7.67/2.36  
%------------------------------------------------------------------------------