TSTP Solution File: SET810+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET810+4 : TPTP v8.1.0. Released v3.2.0.
% 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 00:14:19 EDT 2022

% Result   : Theorem 9.18s 2.62s
% Output   : CNFRefutation 9.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   27 (  13 unt;   0 nHn;  27 RR)
%            Number of literals    :   53 (   0 equ;  29 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   31 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_22,plain,
    ( strict_well_order(member_predicate,X1)
    | ~ member(X1,on) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xs2_c09f/lgb.p',i_0_22) ).

cnf(i_0_75,negated_conjecture,
    member(esk15_0,on),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xs2_c09f/lgb.p',i_0_75) ).

cnf(i_0_21,plain,
    ( subset(X1,X2)
    | ~ member(X1,X2)
    | ~ member(X2,on) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xs2_c09f/lgb.p',i_0_21) ).

cnf(i_0_74,negated_conjecture,
    member(esk14_0,esk15_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xs2_c09f/lgb.p',i_0_74) ).

cnf(i_0_64,plain,
    ( strict_order(X1,X2)
    | ~ strict_well_order(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xs2_c09f/lgb.p',i_0_64) ).

cnf(i_0_67,plain,
    ( member(X1,X2)
    | ~ member(X1,X3)
    | ~ subset(X3,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xs2_c09f/lgb.p',i_0_67) ).

cnf(i_0_59,plain,
    ( ~ member(X1,X2)
    | ~ member(X3,X2)
    | ~ strict_order(X4,X2)
    | ~ apply(X4,X1,X3)
    | ~ apply(X4,X3,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xs2_c09f/lgb.p',i_0_59) ).

cnf(i_0_29,plain,
    ( apply(member_predicate,X1,X2)
    | ~ member(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xs2_c09f/lgb.p',i_0_29) ).

cnf(i_0_73,negated_conjecture,
    member(esk15_0,esk14_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xs2_c09f/lgb.p',i_0_73) ).

cnf(c_0_85,plain,
    ( strict_well_order(member_predicate,X1)
    | ~ member(X1,on) ),
    i_0_22 ).

cnf(c_0_86,negated_conjecture,
    member(esk15_0,on),
    i_0_75 ).

cnf(c_0_87,plain,
    ( subset(X1,X2)
    | ~ member(X1,X2)
    | ~ member(X2,on) ),
    i_0_21 ).

cnf(c_0_88,negated_conjecture,
    member(esk14_0,esk15_0),
    i_0_74 ).

cnf(c_0_89,plain,
    ( strict_order(X1,X2)
    | ~ strict_well_order(X1,X2) ),
    i_0_64 ).

cnf(c_0_90,negated_conjecture,
    strict_well_order(member_predicate,esk15_0),
    inference(spm,[status(thm)],[c_0_85,c_0_86]) ).

cnf(c_0_91,plain,
    ( member(X1,X2)
    | ~ member(X1,X3)
    | ~ subset(X3,X2) ),
    i_0_67 ).

cnf(c_0_92,negated_conjecture,
    subset(esk14_0,esk15_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_86])]) ).

cnf(c_0_93,plain,
    ( ~ member(X1,X2)
    | ~ member(X3,X2)
    | ~ strict_order(X4,X2)
    | ~ apply(X4,X1,X3)
    | ~ apply(X4,X3,X1) ),
    i_0_59 ).

cnf(c_0_94,plain,
    strict_order(member_predicate,esk15_0),
    inference(spm,[status(thm)],[c_0_89,c_0_90]) ).

cnf(c_0_95,plain,
    ( apply(member_predicate,X1,X2)
    | ~ member(X1,X2) ),
    i_0_29 ).

cnf(c_0_96,negated_conjecture,
    member(esk15_0,esk14_0),
    i_0_73 ).

cnf(c_0_97,plain,
    ( member(X1,esk15_0)
    | ~ member(X1,esk14_0) ),
    inference(spm,[status(thm)],[c_0_91,c_0_92]) ).

cnf(c_0_98,plain,
    ( ~ apply(member_predicate,X1,X2)
    | ~ apply(member_predicate,X2,X1)
    | ~ member(X1,esk15_0)
    | ~ member(X2,esk15_0) ),
    inference(spm,[status(thm)],[c_0_93,c_0_94]) ).

cnf(c_0_99,negated_conjecture,
    apply(member_predicate,esk14_0,esk15_0),
    inference(spm,[status(thm)],[c_0_95,c_0_88]) ).

cnf(c_0_100,negated_conjecture,
    apply(member_predicate,esk15_0,esk14_0),
    inference(spm,[status(thm)],[c_0_95,c_0_96]) ).

cnf(c_0_101,negated_conjecture,
    member(esk15_0,esk15_0),
    inference(spm,[status(thm)],[c_0_97,c_0_96]) ).

cnf(c_0_102,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_100]),c_0_88]),c_0_101])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SET810+4 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.14  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.35  % Computer : n027.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
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Sun Jul 10 07:26:34 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.20/0.47  # ENIGMATIC: Selected SinE mode:
% 0.20/0.48  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.20/0.48  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.20/0.48  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 9.18/2.62  # ENIGMATIC: Solved by autoschedule-lgb:
% 9.18/2.62  # No SInE strategy applied
% 9.18/2.62  # Trying AutoSched0 for 150 seconds
% 9.18/2.62  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_AE_CS_SP_PI_S0a
% 9.18/2.62  # and selection function SelectNegativeLiterals.
% 9.18/2.62  #
% 9.18/2.62  # Preprocessing time       : 0.024 s
% 9.18/2.62  
% 9.18/2.62  # Proof found!
% 9.18/2.62  # SZS status Theorem
% 9.18/2.62  # SZS output start CNFRefutation
% See solution above
% 9.18/2.62  # Training examples: 0 positive, 0 negative
% 9.18/2.62  
% 9.18/2.62  # -------------------------------------------------
% 9.18/2.62  # User time                : 0.031 s
% 9.18/2.62  # System time              : 0.004 s
% 9.18/2.62  # Total time               : 0.035 s
% 9.18/2.62  # Maximum resident set size: 7120 pages
% 9.18/2.62  
%------------------------------------------------------------------------------