TSTP Solution File: SEU118+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU118+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n022.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 08:38:33 EDT 2022

% Result   : Theorem 7.92s 2.43s
% Output   : CNFRefutation 7.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   21 (  10 unt;   0 nHn;  19 RR)
%            Number of literals    :   43 (   2 equ;  24 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-1 aty)
%            Number of variables   :   26 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_11,plain,
    ( in(X1,X2)
    | X2 != finite_subsets(X3)
    | ~ finite(X1)
    | ~ preboolean(X2)
    | ~ subset(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pexkx7gp/lgb.p',i_0_11) ).

cnf(i_0_22,plain,
    preboolean(finite_subsets(X1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pexkx7gp/lgb.p',i_0_22) ).

cnf(i_0_57,plain,
    ( element(X1,X2)
    | ~ in(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pexkx7gp/lgb.p',i_0_57) ).

cnf(i_0_63,plain,
    ( subset(X1,X2)
    | ~ element(X1,powerset(X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pexkx7gp/lgb.p',i_0_63) ).

cnf(i_0_5,plain,
    ( finite(X1)
    | ~ finite(X2)
    | ~ element(X1,powerset(X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pexkx7gp/lgb.p',i_0_5) ).

cnf(i_0_61,negated_conjecture,
    element(esk13_0,powerset(esk12_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pexkx7gp/lgb.p',i_0_61) ).

cnf(i_0_60,negated_conjecture,
    finite(esk12_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pexkx7gp/lgb.p',i_0_60) ).

cnf(i_0_59,negated_conjecture,
    ~ element(esk13_0,finite_subsets(esk12_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pexkx7gp/lgb.p',i_0_59) ).

cnf(c_0_72,plain,
    ( in(X1,X2)
    | X2 != finite_subsets(X3)
    | ~ finite(X1)
    | ~ preboolean(X2)
    | ~ subset(X1,X3) ),
    i_0_11 ).

cnf(c_0_73,plain,
    preboolean(finite_subsets(X1)),
    i_0_22 ).

cnf(c_0_74,plain,
    ( element(X1,X2)
    | ~ in(X1,X2) ),
    i_0_57 ).

cnf(c_0_75,plain,
    ( in(X1,finite_subsets(X2))
    | ~ finite(X1)
    | ~ subset(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_72]),c_0_73])]) ).

cnf(c_0_76,plain,
    ( element(X1,finite_subsets(X2))
    | ~ finite(X1)
    | ~ subset(X1,X2) ),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_77,plain,
    ( subset(X1,X2)
    | ~ element(X1,powerset(X2)) ),
    i_0_63 ).

cnf(c_0_78,plain,
    ( finite(X1)
    | ~ finite(X2)
    | ~ element(X1,powerset(X2)) ),
    i_0_5 ).

cnf(c_0_79,negated_conjecture,
    element(esk13_0,powerset(esk12_0)),
    i_0_61 ).

cnf(c_0_80,negated_conjecture,
    finite(esk12_0),
    i_0_60 ).

cnf(c_0_81,negated_conjecture,
    ~ element(esk13_0,finite_subsets(esk12_0)),
    i_0_59 ).

cnf(c_0_82,plain,
    ( element(X1,finite_subsets(X2))
    | ~ finite(X1)
    | ~ element(X1,powerset(X2)) ),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_83,negated_conjecture,
    finite(esk13_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80])]) ).

cnf(c_0_84,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83]),c_0_79])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU118+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n022.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 : Sat Jun 18 22:26:03 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected complete mode:
% 7.92/2.43  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.92/2.43  # No SInE strategy applied
% 7.92/2.43  # Trying AutoSched0 for 150 seconds
% 7.92/2.43  # AutoSched0-Mode selected heuristic G_E___300_C18_F1_SE_CS_SP_S0Y
% 7.92/2.43  # and selection function SelectMaxLComplexAvoidPosPred.
% 7.92/2.43  #
% 7.92/2.43  # Preprocessing time       : 0.024 s
% 7.92/2.43  
% 7.92/2.43  # Proof found!
% 7.92/2.43  # SZS status Theorem
% 7.92/2.43  # SZS output start CNFRefutation
% See solution above
% 7.92/2.43  # Training examples: 0 positive, 0 negative
% 7.92/2.43  
% 7.92/2.43  # -------------------------------------------------
% 7.92/2.43  # User time                : 0.028 s
% 7.92/2.43  # System time              : 0.006 s
% 7.92/2.43  # Total time               : 0.034 s
% 7.92/2.43  # Maximum resident set size: 7120 pages
% 7.92/2.43  
%------------------------------------------------------------------------------