TSTP Solution File: SET585+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET585+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n008.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 00:12:26 EDT 2022

% Result   : Theorem 7.28s 2.35s
% Output   : CNFRefutation 7.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   14 (   6 unt;   2 nHn;   9 RR)
%            Number of literals    :   22 (   0 equ;   8 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   21 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_20,negated_conjecture,
    ~ subset(intersection(esk3_0,esk4_0),union(esk3_0,esk5_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7vip3kev/lgb.p',i_0_20) ).

cnf(i_0_11,plain,
    ( subset(X1,X2)
    | member(esk1_2(X1,X2),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7vip3kev/lgb.p',i_0_11) ).

cnf(i_0_9,plain,
    ( member(X1,X2)
    | ~ member(X1,intersection(X2,X3)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7vip3kev/lgb.p',i_0_9) ).

cnf(i_0_5,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7vip3kev/lgb.p',i_0_5) ).

cnf(i_0_10,plain,
    ( subset(X1,X2)
    | ~ member(esk1_2(X1,X2),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7vip3kev/lgb.p',i_0_10) ).

cnf(c_0_26,negated_conjecture,
    ~ subset(intersection(esk3_0,esk4_0),union(esk3_0,esk5_0)),
    i_0_20 ).

cnf(c_0_27,plain,
    ( subset(X1,X2)
    | member(esk1_2(X1,X2),X1) ),
    i_0_11 ).

cnf(c_0_28,plain,
    ( member(X1,X2)
    | ~ member(X1,intersection(X2,X3)) ),
    i_0_9 ).

cnf(c_0_29,negated_conjecture,
    member(esk1_2(intersection(esk3_0,esk4_0),union(esk3_0,esk5_0)),intersection(esk3_0,esk4_0)),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_30,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X2) ),
    i_0_5 ).

cnf(c_0_31,plain,
    member(esk1_2(intersection(esk3_0,esk4_0),union(esk3_0,esk5_0)),esk3_0),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_32,plain,
    ( subset(X1,X2)
    | ~ member(esk1_2(X1,X2),X2) ),
    i_0_10 ).

cnf(c_0_33,plain,
    member(esk1_2(intersection(esk3_0,esk4_0),union(esk3_0,esk5_0)),union(esk3_0,X1)),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_34,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_26]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SET585+3 : TPTP v8.1.0. Released v2.2.0.
% 0.08/0.14  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.35  % Computer : n008.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 Jul 10 14:00:10 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.46  # ENIGMATIC: Selected complete mode:
% 7.28/2.35  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.28/2.35  # No SInE strategy applied
% 7.28/2.35  # Trying AutoSched0 for 150 seconds
% 7.28/2.35  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S01EI
% 7.28/2.35  # and selection function SelectCondOptimalLit.
% 7.28/2.35  #
% 7.28/2.35  # Preprocessing time       : 0.012 s
% 7.28/2.35  # Presaturation interreduction done
% 7.28/2.35  
% 7.28/2.35  # Proof found!
% 7.28/2.35  # SZS status Theorem
% 7.28/2.35  # SZS output start CNFRefutation
% See solution above
% 7.28/2.35  # Training examples: 0 positive, 0 negative
% 7.28/2.35  
% 7.28/2.35  # -------------------------------------------------
% 7.28/2.35  # User time                : 0.014 s
% 7.28/2.35  # System time              : 0.006 s
% 7.28/2.35  # Total time               : 0.020 s
% 7.28/2.35  # Maximum resident set size: 7128 pages
% 7.28/2.35  
%------------------------------------------------------------------------------