TSTP Solution File: SET183+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET183+3 : TPTP v8.1.0. Released v2.2.0.
% 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 00:10:14 EDT 2022

% Result   : Theorem 7.47s 2.36s
% Output   : CNFRefutation 7.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   22 (  11 unt;   2 nHn;  18 RR)
%            Number of literals    :   39 (   4 equ;  20 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   29 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_17,negated_conjecture,
    intersection(esk3_0,esk4_0) != esk3_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-czzmslp_/lgb.p',i_0_17) ).

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

cnf(i_0_4,plain,
    subset(intersection(X1,X2),X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-czzmslp_/lgb.p',i_0_4) ).

cnf(i_0_5,plain,
    ( subset(X1,X2)
    | ~ member(esk1_2(X1,X2),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-czzmslp_/lgb.p',i_0_5) ).

cnf(i_0_6,plain,
    ( subset(X1,X2)
    | member(esk1_2(X1,X2),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-czzmslp_/lgb.p',i_0_6) ).

cnf(i_0_1,plain,
    ( member(X1,intersection(X2,X3))
    | ~ member(X1,X3)
    | ~ member(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-czzmslp_/lgb.p',i_0_1) ).

cnf(i_0_7,plain,
    ( member(X1,X2)
    | ~ member(X1,X3)
    | ~ subset(X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-czzmslp_/lgb.p',i_0_7) ).

cnf(i_0_18,negated_conjecture,
    subset(esk3_0,esk4_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-czzmslp_/lgb.p',i_0_18) ).

cnf(c_0_27,negated_conjecture,
    intersection(esk3_0,esk4_0) != esk3_0,
    i_0_17 ).

cnf(c_0_28,plain,
    ( X1 = X2
    | ~ subset(X2,X1)
    | ~ subset(X1,X2) ),
    i_0_8 ).

cnf(c_0_29,plain,
    subset(intersection(X1,X2),X1),
    i_0_4 ).

cnf(c_0_30,negated_conjecture,
    ~ subset(esk3_0,intersection(esk3_0,esk4_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28])]),c_0_29])]) ).

cnf(c_0_31,plain,
    ( subset(X1,X2)
    | ~ member(esk1_2(X1,X2),X2) ),
    i_0_5 ).

cnf(c_0_32,plain,
    ( subset(X1,X2)
    | member(esk1_2(X1,X2),X1) ),
    i_0_6 ).

cnf(c_0_33,negated_conjecture,
    ~ member(esk1_2(esk3_0,intersection(esk3_0,esk4_0)),intersection(esk3_0,esk4_0)),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_34,plain,
    ( member(X1,intersection(X2,X3))
    | ~ member(X1,X3)
    | ~ member(X1,X2) ),
    i_0_1 ).

cnf(c_0_35,negated_conjecture,
    member(esk1_2(esk3_0,intersection(esk3_0,esk4_0)),esk3_0),
    inference(spm,[status(thm)],[c_0_30,c_0_32]) ).

cnf(c_0_36,plain,
    ( member(X1,X2)
    | ~ member(X1,X3)
    | ~ subset(X3,X2) ),
    i_0_7 ).

cnf(c_0_37,negated_conjecture,
    subset(esk3_0,esk4_0),
    i_0_18 ).

cnf(c_0_38,negated_conjecture,
    ~ member(esk1_2(esk3_0,intersection(esk3_0,esk4_0)),esk4_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35])]) ).

cnf(c_0_39,negated_conjecture,
    ( member(X1,esk4_0)
    | ~ member(X1,esk3_0) ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_40,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_35])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET183+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n009.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 Jul 10 21:55:38 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 7.47/2.36  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.47/2.36  # No SInE strategy applied
% 7.47/2.36  # Trying AutoSched0 for 150 seconds
% 7.47/2.36  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S04CA
% 7.47/2.36  # and selection function MSelectComplexExceptUniqMaxHorn.
% 7.47/2.36  #
% 7.47/2.36  # Preprocessing time       : 0.017 s
% 7.47/2.36  # Presaturation interreduction done
% 7.47/2.36  
% 7.47/2.36  # Proof found!
% 7.47/2.36  # SZS status Theorem
% 7.47/2.36  # SZS output start CNFRefutation
% See solution above
% 7.47/2.36  # Training examples: 0 positive, 0 negative
% 7.47/2.36  
% 7.47/2.36  # -------------------------------------------------
% 7.47/2.36  # User time                : 0.022 s
% 7.47/2.36  # System time              : 0.006 s
% 7.47/2.36  # Total time               : 0.028 s
% 7.47/2.36  # Maximum resident set size: 7124 pages
% 7.47/2.36  
%------------------------------------------------------------------------------