TSTP Solution File: SET594+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET594+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n018.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 00:12:32 EDT 2022

% Result   : Theorem 8.09s 2.38s
% Output   : CNFRefutation 8.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   24 (  10 unt;   6 nHn;  18 RR)
%            Number of literals    :   41 (   2 equ;  16 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    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   33 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_6,plain,
    ( member(X1,X2)
    | member(X1,X3)
    | ~ member(X1,union(X3,X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7a3gurnv/lgb.p',i_0_6) ).

cnf(i_0_21,negated_conjecture,
    union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)) = esk3_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7a3gurnv/lgb.p',i_0_21) ).

cnf(i_0_20,negated_conjecture,
    ~ subset(esk3_0,union(esk4_0,esk5_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7a3gurnv/lgb.p',i_0_20) ).

cnf(i_0_2,plain,
    ( subset(X1,X2)
    | member(esk1_2(X1,X2),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7a3gurnv/lgb.p',i_0_2) ).

cnf(i_0_1,plain,
    ( subset(X1,X2)
    | ~ member(esk1_2(X1,X2),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7a3gurnv/lgb.p',i_0_1) ).

cnf(i_0_4,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7a3gurnv/lgb.p',i_0_4) ).

cnf(i_0_8,plain,
    ( member(X1,X2)
    | ~ member(X1,intersection(X3,X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7a3gurnv/lgb.p',i_0_8) ).

cnf(i_0_5,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7a3gurnv/lgb.p',i_0_5) ).

cnf(c_0_30,plain,
    ( member(X1,X2)
    | member(X1,X3)
    | ~ member(X1,union(X3,X2)) ),
    i_0_6 ).

cnf(c_0_31,negated_conjecture,
    union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)) = esk3_0,
    i_0_21 ).

cnf(c_0_32,negated_conjecture,
    ~ subset(esk3_0,union(esk4_0,esk5_0)),
    i_0_20 ).

cnf(c_0_33,plain,
    ( subset(X1,X2)
    | member(esk1_2(X1,X2),X1) ),
    i_0_2 ).

cnf(c_0_34,plain,
    ( subset(X1,X2)
    | ~ member(esk1_2(X1,X2),X2) ),
    i_0_1 ).

cnf(c_0_35,negated_conjecture,
    ( member(X1,intersection(esk3_0,esk5_0))
    | member(X1,intersection(esk3_0,esk4_0))
    | ~ member(X1,esk3_0) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_36,negated_conjecture,
    member(esk1_2(esk3_0,union(esk4_0,esk5_0)),esk3_0),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_37,negated_conjecture,
    ~ member(esk1_2(esk3_0,union(esk4_0,esk5_0)),union(esk4_0,esk5_0)),
    inference(spm,[status(thm)],[c_0_32,c_0_34]) ).

cnf(c_0_38,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X3) ),
    i_0_4 ).

cnf(c_0_39,plain,
    ( member(X1,X2)
    | ~ member(X1,intersection(X3,X2)) ),
    i_0_8 ).

cnf(c_0_40,negated_conjecture,
    ( member(esk1_2(esk3_0,union(esk4_0,esk5_0)),intersection(esk3_0,esk4_0))
    | member(esk1_2(esk3_0,union(esk4_0,esk5_0)),intersection(esk3_0,esk5_0)) ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_41,negated_conjecture,
    ~ member(esk1_2(esk3_0,union(esk4_0,esk5_0)),esk5_0),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_42,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X2) ),
    i_0_5 ).

cnf(c_0_43,plain,
    member(esk1_2(esk3_0,union(esk4_0,esk5_0)),intersection(esk3_0,esk4_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]) ).

cnf(c_0_44,negated_conjecture,
    ~ member(esk1_2(esk3_0,union(esk4_0,esk5_0)),esk4_0),
    inference(spm,[status(thm)],[c_0_37,c_0_42]) ).

cnf(c_0_45,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_43]),c_0_44]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET594+3 : TPTP v8.1.0. Released v2.2.0.
% 0.00/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n018.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 : Sat Jul  9 21:15:13 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 8.09/2.38  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.09/2.38  # No SInE strategy applied
% 8.09/2.38  # Trying AutoSched0 for 150 seconds
% 8.09/2.38  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S04CA
% 8.09/2.38  # and selection function MSelectComplexExceptUniqMaxHorn.
% 8.09/2.38  #
% 8.09/2.38  # Preprocessing time       : 0.012 s
% 8.09/2.38  # Presaturation interreduction done
% 8.09/2.38  
% 8.09/2.38  # Proof found!
% 8.09/2.38  # SZS status Theorem
% 8.09/2.38  # SZS output start CNFRefutation
% See solution above
% 8.09/2.38  # Training examples: 0 positive, 0 negative
% 8.09/2.38  
% 8.09/2.38  # -------------------------------------------------
% 8.09/2.38  # User time                : 0.212 s
% 8.09/2.38  # System time              : 0.007 s
% 8.09/2.38  # Total time               : 0.219 s
% 8.09/2.38  # Maximum resident set size: 7128 pages
% 8.09/2.38  
%------------------------------------------------------------------------------