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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET887+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n014.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 00:15:02 EDT 2022

% Result   : Theorem 7.58s 2.31s
% Output   : CNFRefutation 7.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   26 (  10 unt;   9 nHn;  25 RR)
%            Number of literals    :   57 (  46 equ;  23 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   45 (  15 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_8,plain,
    ( in(X1,X2)
    | X1 != X3
    | X2 != unordered_pair(X4,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xl0f6xer/lgb.p',i_0_8) ).

cnf(i_0_4,plain,
    ( X1 != empty_set
    | ~ in(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xl0f6xer/lgb.p',i_0_4) ).

cnf(i_0_16,plain,
    ( X1 = empty_set
    | X1 = singleton(X2)
    | X1 = singleton(X3)
    | X1 = unordered_pair(X3,X2)
    | ~ subset(X1,unordered_pair(X3,X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xl0f6xer/lgb.p',i_0_16) ).

cnf(i_0_23,negated_conjecture,
    subset(unordered_pair(esk5_0,esk6_0),unordered_pair(esk7_0,esk8_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xl0f6xer/lgb.p',i_0_23) ).

cnf(i_0_24,plain,
    ( X1 = X2
    | singleton(X1) != unordered_pair(X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xl0f6xer/lgb.p',i_0_24) ).

cnf(i_0_21,negated_conjecture,
    esk8_0 != esk5_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xl0f6xer/lgb.p',i_0_21) ).

cnf(i_0_22,negated_conjecture,
    esk7_0 != esk5_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xl0f6xer/lgb.p',i_0_22) ).

cnf(i_0_20,plain,
    ( X1 = X2
    | X1 = X3
    | unordered_pair(X1,X4) != unordered_pair(X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xl0f6xer/lgb.p',i_0_20) ).

cnf(c_0_33,plain,
    ( in(X1,X2)
    | X1 != X3
    | X2 != unordered_pair(X4,X3) ),
    i_0_8 ).

cnf(c_0_34,plain,
    ( in(X1,X2)
    | X2 != unordered_pair(X3,X1) ),
    inference(er,[status(thm)],[c_0_33]) ).

cnf(c_0_35,plain,
    ( X1 != empty_set
    | ~ in(X2,X1) ),
    i_0_4 ).

cnf(c_0_36,plain,
    in(X1,unordered_pair(X2,X1)),
    inference(er,[status(thm)],[c_0_34]) ).

cnf(c_0_37,plain,
    ( X1 = empty_set
    | X1 = singleton(X2)
    | X1 = singleton(X3)
    | X1 = unordered_pair(X3,X2)
    | ~ subset(X1,unordered_pair(X3,X2)) ),
    i_0_16 ).

cnf(c_0_38,negated_conjecture,
    subset(unordered_pair(esk5_0,esk6_0),unordered_pair(esk7_0,esk8_0)),
    i_0_23 ).

cnf(c_0_39,plain,
    unordered_pair(X1,X2) != empty_set,
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_40,plain,
    ( X1 = X2
    | singleton(X1) != unordered_pair(X2,X3) ),
    i_0_24 ).

cnf(c_0_41,negated_conjecture,
    ( unordered_pair(esk7_0,esk8_0) = unordered_pair(esk5_0,esk6_0)
    | singleton(esk7_0) = unordered_pair(esk5_0,esk6_0)
    | singleton(esk8_0) = unordered_pair(esk5_0,esk6_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]) ).

cnf(c_0_42,plain,
    ( unordered_pair(esk7_0,esk8_0) = unordered_pair(esk5_0,esk6_0)
    | singleton(esk7_0) = unordered_pair(esk5_0,esk6_0)
    | esk8_0 = X1
    | unordered_pair(esk5_0,esk6_0) != unordered_pair(X1,X2) ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_43,negated_conjecture,
    esk8_0 != esk5_0,
    i_0_21 ).

cnf(c_0_44,plain,
    ( unordered_pair(esk7_0,esk8_0) = unordered_pair(esk5_0,esk6_0)
    | singleton(esk7_0) = unordered_pair(esk5_0,esk6_0) ),
    inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_42]),c_0_43]) ).

cnf(c_0_45,plain,
    ( unordered_pair(esk7_0,esk8_0) = unordered_pair(esk5_0,esk6_0)
    | esk7_0 = X1
    | unordered_pair(esk5_0,esk6_0) != unordered_pair(X1,X2) ),
    inference(spm,[status(thm)],[c_0_40,c_0_44]) ).

cnf(c_0_46,negated_conjecture,
    esk7_0 != esk5_0,
    i_0_22 ).

cnf(c_0_47,plain,
    ( X1 = X2
    | X1 = X3
    | unordered_pair(X1,X4) != unordered_pair(X3,X2) ),
    i_0_20 ).

cnf(c_0_48,plain,
    unordered_pair(esk7_0,esk8_0) = unordered_pair(esk5_0,esk6_0),
    inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_45]),c_0_46]) ).

cnf(c_0_49,plain,
    ( X1 = esk7_0
    | X1 = esk8_0
    | unordered_pair(X1,X2) != unordered_pair(esk5_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_50,plain,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_49]),c_0_46]),c_0_43]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET887+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n014.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 16:46:51 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 7.58/2.31  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.58/2.31  # No SInE strategy applied
% 7.58/2.31  # Trying AutoSched0 for 150 seconds
% 7.58/2.31  # AutoSched0-Mode selected heuristic G_E___205_C45_F1_AE_CS_SP_PI_S0Y
% 7.58/2.31  # and selection function SelectMaxLComplexAvoidPosPred.
% 7.58/2.31  #
% 7.58/2.31  # Preprocessing time       : 0.023 s
% 7.58/2.31  
% 7.58/2.31  # Proof found!
% 7.58/2.31  # SZS status Theorem
% 7.58/2.31  # SZS output start CNFRefutation
% See solution above
% 7.58/2.31  # Training examples: 0 positive, 0 negative
% 7.58/2.31  
% 7.58/2.31  # -------------------------------------------------
% 7.58/2.31  # User time                : 0.023 s
% 7.58/2.31  # System time              : 0.006 s
% 7.58/2.31  # Total time               : 0.030 s
% 7.58/2.31  # Maximum resident set size: 7128 pages
% 7.58/2.31  
%------------------------------------------------------------------------------