TSTP Solution File: SEU114+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU114+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n024.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 08:38:32 EDT 2022

% Result   : Theorem 8.60s 2.41s
% Output   : CNFRefutation 8.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   32 (  10 unt;   7 nHn;  22 RR)
%            Number of literals    :   68 (   6 equ;  31 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    :    4 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :   48 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_69,plain,
    ( subset(X1,X2)
    | ~ element(X1,powerset(X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b74r3iuz/lgb.p',i_0_69) ).

cnf(i_0_63,plain,
    ( element(X1,X2)
    | ~ in(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b74r3iuz/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-b74r3iuz/lgb.p',i_0_5) ).

cnf(i_0_17,plain,
    ( in(X1,X2)
    | X2 != finite_subsets(X3)
    | ~ finite(X1)
    | ~ preboolean(X2)
    | ~ subset(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b74r3iuz/lgb.p',i_0_17) ).

cnf(i_0_28,plain,
    preboolean(finite_subsets(X1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b74r3iuz/lgb.p',i_0_28) ).

cnf(i_0_12,plain,
    ( subset(X1,X2)
    | in(esk1_2(X1,X2),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b74r3iuz/lgb.p',i_0_12) ).

cnf(i_0_66,negated_conjecture,
    finite(esk13_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b74r3iuz/lgb.p',i_0_66) ).

cnf(i_0_11,plain,
    ( subset(X1,X2)
    | ~ in(esk1_2(X1,X2),X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b74r3iuz/lgb.p',i_0_11) ).

cnf(i_0_8,plain,
    ( X1 = X2
    | ~ subset(X2,X1)
    | ~ subset(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b74r3iuz/lgb.p',i_0_8) ).

cnf(i_0_64,plain,
    subset(finite_subsets(X1),powerset(X1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b74r3iuz/lgb.p',i_0_64) ).

cnf(i_0_65,negated_conjecture,
    finite_subsets(esk13_0) != powerset(esk13_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b74r3iuz/lgb.p',i_0_65) ).

cnf(c_0_81,plain,
    ( subset(X1,X2)
    | ~ element(X1,powerset(X2)) ),
    i_0_69 ).

cnf(c_0_82,plain,
    ( element(X1,X2)
    | ~ in(X1,X2) ),
    i_0_63 ).

cnf(c_0_83,plain,
    ( finite(X1)
    | ~ finite(X2)
    | ~ element(X1,powerset(X2)) ),
    i_0_5 ).

cnf(c_0_84,plain,
    ( in(X1,X2)
    | X2 != finite_subsets(X3)
    | ~ finite(X1)
    | ~ preboolean(X2)
    | ~ subset(X1,X3) ),
    i_0_17 ).

cnf(c_0_85,plain,
    preboolean(finite_subsets(X1)),
    i_0_28 ).

cnf(c_0_86,plain,
    ( subset(X1,X2)
    | ~ in(X1,powerset(X2)) ),
    inference(spm,[status(thm)],[c_0_81,c_0_82]) ).

cnf(c_0_87,plain,
    ( subset(X1,X2)
    | in(esk1_2(X1,X2),X1) ),
    i_0_12 ).

cnf(c_0_88,plain,
    ( finite(X1)
    | ~ finite(X2)
    | ~ in(X1,powerset(X2)) ),
    inference(spm,[status(thm)],[c_0_83,c_0_82]) ).

cnf(c_0_89,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_84]),c_0_85])]) ).

cnf(c_0_90,plain,
    ( subset(esk1_2(powerset(X1),X2),X1)
    | subset(powerset(X1),X2) ),
    inference(spm,[status(thm)],[c_0_86,c_0_87]) ).

cnf(c_0_91,plain,
    ( finite(esk1_2(powerset(X1),X2))
    | subset(powerset(X1),X2)
    | ~ finite(X1) ),
    inference(spm,[status(thm)],[c_0_88,c_0_87]) ).

cnf(c_0_92,negated_conjecture,
    finite(esk13_0),
    i_0_66 ).

cnf(c_0_93,plain,
    ( in(esk1_2(powerset(X1),X2),finite_subsets(X1))
    | subset(powerset(X1),X2)
    | ~ finite(esk1_2(powerset(X1),X2)) ),
    inference(spm,[status(thm)],[c_0_89,c_0_90]) ).

cnf(c_0_94,negated_conjecture,
    ( finite(esk1_2(powerset(esk13_0),X1))
    | subset(powerset(esk13_0),X1) ),
    inference(spm,[status(thm)],[c_0_91,c_0_92]) ).

cnf(c_0_95,plain,
    ( subset(X1,X2)
    | ~ in(esk1_2(X1,X2),X2) ),
    i_0_11 ).

cnf(c_0_96,negated_conjecture,
    ( in(esk1_2(powerset(esk13_0),X1),finite_subsets(esk13_0))
    | subset(powerset(esk13_0),X1) ),
    inference(spm,[status(thm)],[c_0_93,c_0_94]) ).

cnf(c_0_97,plain,
    ( X1 = X2
    | ~ subset(X2,X1)
    | ~ subset(X1,X2) ),
    i_0_8 ).

cnf(c_0_98,plain,
    subset(powerset(esk13_0),finite_subsets(esk13_0)),
    inference(spm,[status(thm)],[c_0_95,c_0_96]) ).

cnf(c_0_99,plain,
    subset(finite_subsets(X1),powerset(X1)),
    i_0_64 ).

cnf(c_0_100,negated_conjecture,
    finite_subsets(esk13_0) != powerset(esk13_0),
    i_0_65 ).

cnf(c_0_101,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_99])]),c_0_100]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU114+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 : n024.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 07:26:34 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 8.60/2.41  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.60/2.41  # No SInE strategy applied
% 8.60/2.41  # Trying AutoSched0 for 150 seconds
% 8.60/2.41  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 8.60/2.41  # and selection function SelectComplexExceptUniqMaxHorn.
% 8.60/2.41  #
% 8.60/2.41  # Preprocessing time       : 0.023 s
% 8.60/2.41  # Presaturation interreduction done
% 8.60/2.41  
% 8.60/2.41  # Proof found!
% 8.60/2.41  # SZS status Theorem
% 8.60/2.41  # SZS output start CNFRefutation
% See solution above
% 8.60/2.41  # Training examples: 0 positive, 0 negative
% 8.60/2.41  
% 8.60/2.41  # -------------------------------------------------
% 8.60/2.41  # User time                : 0.035 s
% 8.60/2.41  # System time              : 0.006 s
% 8.60/2.41  # Total time               : 0.041 s
% 8.60/2.41  # Maximum resident set size: 7124 pages
% 8.60/2.41  
%------------------------------------------------------------------------------