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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET622+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n010.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 00:12:54 EDT 2022

% Result   : Theorem 7.70s 2.31s
% Output   : CNFRefutation 7.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   15 (  15 unt;   0 nHn;   4 RR)
%            Number of literals    :   15 (  14 equ;   3 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   30 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_17,plain,
    union(X1,X2) = union(X2,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t3p4g_au/input.p',i_0_17) ).

cnf(i_0_2,plain,
    union(difference(X1,X2),intersection(X1,X3)) = difference(X1,difference(X2,X3)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t3p4g_au/input.p',i_0_2) ).

cnf(i_0_18,plain,
    intersection(X1,X2) = intersection(X2,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t3p4g_au/input.p',i_0_18) ).

cnf(i_0_1,plain,
    intersection(intersection(X1,X2),X3) = intersection(X1,intersection(X2,X3)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t3p4g_au/input.p',i_0_1) ).

cnf(i_0_28,negated_conjecture,
    union(difference(esk3_0,union(esk4_0,esk5_0)),intersection(intersection(esk3_0,esk4_0),esk5_0)) != difference(esk3_0,difference(union(esk4_0,esk5_0),intersection(esk4_0,esk5_0))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t3p4g_au/input.p',i_0_28) ).

cnf(c_0_34,plain,
    union(X1,X2) = union(X2,X1),
    i_0_17 ).

cnf(c_0_35,plain,
    union(difference(X1,X2),intersection(X1,X3)) = difference(X1,difference(X2,X3)),
    i_0_2 ).

cnf(c_0_36,plain,
    intersection(X1,X2) = intersection(X2,X1),
    i_0_18 ).

cnf(c_0_37,plain,
    intersection(intersection(X1,X2),X3) = intersection(X1,intersection(X2,X3)),
    i_0_1 ).

cnf(c_0_38,negated_conjecture,
    union(difference(esk3_0,union(esk4_0,esk5_0)),intersection(intersection(esk3_0,esk4_0),esk5_0)) != difference(esk3_0,difference(union(esk4_0,esk5_0),intersection(esk4_0,esk5_0))),
    i_0_28 ).

cnf(c_0_39,plain,
    union(intersection(X1,X2),difference(X1,X3)) = difference(X1,difference(X3,X2)),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_40,plain,
    intersection(X1,intersection(X2,X3)) = intersection(X3,intersection(X1,X2)),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_41,negated_conjecture,
    union(intersection(esk4_0,intersection(esk5_0,esk3_0)),difference(esk3_0,union(esk4_0,esk5_0))) != difference(esk3_0,difference(union(esk4_0,esk5_0),intersection(esk4_0,esk5_0))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_36]),c_0_37]),c_0_36]),c_0_34]) ).

cnf(c_0_42,plain,
    union(intersection(X1,intersection(X2,X3)),difference(X3,X4)) = difference(X3,difference(X4,intersection(X1,X2))),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_43,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_42])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SET622+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n010.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 00:21:02 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 7.70/2.31  # ENIGMATIC: Solved by autoschedule:
% 7.70/2.31  # No SInE strategy applied
% 7.70/2.31  # Trying AutoSched0 for 150 seconds
% 7.70/2.31  # AutoSched0-Mode selected heuristic G_E___012_C18_F1_PI_AE_Q4_CS_SP_PS_S0Y
% 7.70/2.31  # and selection function SelectMaxLComplexAvoidPosPred.
% 7.70/2.31  #
% 7.70/2.31  # Preprocessing time       : 0.012 s
% 7.70/2.31  # Presaturation interreduction done
% 7.70/2.31  
% 7.70/2.31  # Proof found!
% 7.70/2.31  # SZS status Theorem
% 7.70/2.31  # SZS output start CNFRefutation
% See solution above
% 7.70/2.31  # Training examples: 0 positive, 0 negative
% 7.70/2.31  
% 7.70/2.31  # -------------------------------------------------
% 7.70/2.31  # User time                : 0.016 s
% 7.70/2.31  # System time              : 0.003 s
% 7.70/2.31  # Total time               : 0.019 s
% 7.70/2.31  # Maximum resident set size: 7120 pages
% 7.70/2.31  
%------------------------------------------------------------------------------