TSTP Solution File: SEU117+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU117+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n009.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 7.81s 2.39s
% Output   : CNFRefutation 7.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   18 (  11 unt;   2 nHn;  16 RR)
%            Number of literals    :   31 (   2 equ;  15 neg)
%            Maximal clause size   :    4 (   1 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   :   20 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_66,plain,
    ( subset(X1,X2)
    | X3 != finite_subsets(X2)
    | ~ preboolean(X3)
    | ~ in(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4pi_5x2d/lgb.p',i_0_66) ).

cnf(i_0_16,plain,
    preboolean(finite_subsets(X1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4pi_5x2d/lgb.p',i_0_16) ).

cnf(i_0_4,plain,
    ( empty(X1)
    | in(X2,X1)
    | ~ element(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4pi_5x2d/lgb.p',i_0_4) ).

cnf(i_0_60,negated_conjecture,
    element(esk12_0,finite_subsets(esk11_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4pi_5x2d/lgb.p',i_0_60) ).

cnf(i_0_19,plain,
    ~ empty(finite_subsets(X1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4pi_5x2d/lgb.p',i_0_19) ).

cnf(i_0_55,plain,
    ( element(X1,powerset(X2))
    | ~ subset(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4pi_5x2d/lgb.p',i_0_55) ).

cnf(i_0_59,negated_conjecture,
    ~ element(esk12_0,powerset(esk11_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4pi_5x2d/lgb.p',i_0_59) ).

cnf(c_0_74,plain,
    ( subset(X1,X2)
    | X3 != finite_subsets(X2)
    | ~ preboolean(X3)
    | ~ in(X1,X3) ),
    i_0_66 ).

cnf(c_0_75,plain,
    preboolean(finite_subsets(X1)),
    i_0_16 ).

cnf(c_0_76,plain,
    ( empty(X1)
    | in(X2,X1)
    | ~ element(X2,X1) ),
    i_0_4 ).

cnf(c_0_77,negated_conjecture,
    element(esk12_0,finite_subsets(esk11_0)),
    i_0_60 ).

cnf(c_0_78,plain,
    ~ empty(finite_subsets(X1)),
    i_0_19 ).

cnf(c_0_79,plain,
    ( subset(X1,X2)
    | ~ in(X1,finite_subsets(X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_74]),c_0_75])]) ).

cnf(c_0_80,negated_conjecture,
    in(esk12_0,finite_subsets(esk11_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78]) ).

cnf(c_0_81,plain,
    ( element(X1,powerset(X2))
    | ~ subset(X1,X2) ),
    i_0_55 ).

cnf(c_0_82,negated_conjecture,
    subset(esk12_0,esk11_0),
    inference(spm,[status(thm)],[c_0_79,c_0_80]) ).

cnf(c_0_83,negated_conjecture,
    ~ element(esk12_0,powerset(esk11_0)),
    i_0_59 ).

cnf(c_0_84,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SEU117+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.14  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.35  % Computer : n009.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sun Jun 19 05:06:39 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.46  # ENIGMATIC: Selected complete mode:
% 7.81/2.39  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.81/2.39  # No SInE strategy applied
% 7.81/2.39  # Trying AutoSched0 for 150 seconds
% 7.81/2.39  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S058I
% 7.81/2.39  # and selection function PSelectMin2Infpos.
% 7.81/2.39  #
% 7.81/2.39  # Preprocessing time       : 0.023 s
% 7.81/2.39  # Presaturation interreduction done
% 7.81/2.39  
% 7.81/2.39  # Proof found!
% 7.81/2.39  # SZS status Theorem
% 7.81/2.39  # SZS output start CNFRefutation
% See solution above
% 7.81/2.39  # Training examples: 0 positive, 0 negative
% 7.81/2.39  
% 7.81/2.39  # -------------------------------------------------
% 7.81/2.39  # User time                : 0.024 s
% 7.81/2.39  # System time              : 0.009 s
% 7.81/2.39  # Total time               : 0.032 s
% 7.81/2.39  # Maximum resident set size: 7124 pages
% 7.81/2.39  
%------------------------------------------------------------------------------