TSTP Solution File: SET987+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET987+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n023.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 00:15:42 EDT 2022

% Result   : Theorem 6.86s 2.18s
% Output   : CNFRefutation 6.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   10 (   8 unt;   2 nHn;   6 RR)
%            Number of literals    :   12 (   7 equ;   5 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :    8 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_8,negated_conjecture,
    set_difference(set_union2(esk4_0,singleton(esk3_0)),singleton(esk3_0)) != esk4_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-40zhfdsc/input.p',i_0_8) ).

cnf(i_0_10,plain,
    set_difference(set_union2(X1,X2),X2) = set_difference(X1,X2),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-40zhfdsc/input.p',i_0_10) ).

cnf(i_0_11,plain,
    ( set_difference(X1,singleton(X2)) = X1
    | in(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-40zhfdsc/input.p',i_0_11) ).

cnf(i_0_9,negated_conjecture,
    ~ in(esk3_0,esk4_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-40zhfdsc/input.p',i_0_9) ).

cnf(c_0_16,negated_conjecture,
    set_difference(set_union2(esk4_0,singleton(esk3_0)),singleton(esk3_0)) != esk4_0,
    i_0_8 ).

cnf(c_0_17,plain,
    set_difference(set_union2(X1,X2),X2) = set_difference(X1,X2),
    i_0_10 ).

cnf(c_0_18,negated_conjecture,
    set_difference(esk4_0,singleton(esk3_0)) != esk4_0,
    inference(rw,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_19,plain,
    ( set_difference(X1,singleton(X2)) = X1
    | in(X2,X1) ),
    i_0_11 ).

cnf(c_0_20,negated_conjecture,
    ~ in(esk3_0,esk4_0),
    i_0_9 ).

cnf(c_0_21,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),
    [proof] ).

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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SET987+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n023.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sun Jul 10 12:16:42 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected complete mode:
% 6.86/2.18  # ENIGMATIC: Solved by autoschedule:
% 6.86/2.18  # No SInE strategy applied
% 6.86/2.18  # Trying AutoSched0 for 150 seconds
% 6.86/2.18  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S00EN
% 6.86/2.18  # and selection function PSelectSmallestOrientable.
% 6.86/2.18  #
% 6.86/2.18  # Preprocessing time       : 0.023 s
% 6.86/2.18  # Presaturation interreduction done
% 6.86/2.18  
% 6.86/2.18  # Proof found!
% 6.86/2.18  # SZS status Theorem
% 6.86/2.18  # SZS output start CNFRefutation
% See solution above
% 6.86/2.18  # Training examples: 0 positive, 0 negative
% 6.86/2.18  
% 6.86/2.18  # -------------------------------------------------
% 6.86/2.18  # User time                : 0.024 s
% 6.86/2.18  # System time              : 0.004 s
% 6.86/2.18  # Total time               : 0.028 s
% 6.86/2.18  # Maximum resident set size: 7112 pages
% 6.86/2.18  
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