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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU280+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n028.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 08:40:22 EDT 2022

% Result   : Theorem 8.85s 2.80s
% Output   : CNFRefutation 8.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   55 (   7 unt;  28 nHn;  49 RR)
%            Number of literals    :  152 (  53 equ;  74 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   83 (  12 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_528,plain,
    ( esk126_0 = esk127_0
    | in(X1,esk129_1(X2))
    | X3 != X1
    | ~ ordinal(X1)
    | ~ in(X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h5z9k76u/lgb.p',i_0_528) ).

cnf(i_0_591,negated_conjecture,
    ( in(esk143_1(X1),X1)
    | in(esk143_1(X1),esk142_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h5z9k76u/lgb.p',i_0_591) ).

cnf(i_0_590,negated_conjecture,
    ( ordinal(esk143_1(X1))
    | in(esk143_1(X1),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h5z9k76u/lgb.p',i_0_590) ).

cnf(i_0_531,plain,
    ( esk126_0 = esk127_0
    | in(esk130_2(X1,X2),X1)
    | ~ in(X2,esk129_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h5z9k76u/lgb.p',i_0_531) ).

cnf(i_0_530,plain,
    ( esk126_0 = esk127_0
    | esk130_2(X1,X2) = X2
    | ~ in(X2,esk129_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h5z9k76u/lgb.p',i_0_530) ).

cnf(i_0_592,negated_conjecture,
    ( ~ ordinal(esk143_1(X1))
    | ~ in(esk143_1(X1),X1)
    | ~ in(esk143_1(X1),esk142_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h5z9k76u/lgb.p',i_0_592) ).

cnf(i_0_529,plain,
    ( esk126_0 = esk127_0
    | ordinal(X1)
    | ~ in(X1,esk129_1(X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h5z9k76u/lgb.p',i_0_529) ).

cnf(i_0_520,plain,
    ( esk128_0 = esk126_0
    | in(X1,esk129_1(X2))
    | X3 != X1
    | ~ ordinal(X1)
    | ~ in(X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h5z9k76u/lgb.p',i_0_520) ).

cnf(i_0_512,plain,
    ( in(X1,esk129_1(X2))
    | X3 != X1
    | esk128_0 != esk127_0
    | ~ ordinal(X1)
    | ~ in(X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h5z9k76u/lgb.p',i_0_512) ).

cnf(i_0_522,plain,
    ( esk128_0 = esk126_0
    | esk130_2(X1,X2) = X2
    | ~ in(X2,esk129_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h5z9k76u/lgb.p',i_0_522) ).

cnf(i_0_514,plain,
    ( esk130_2(X1,X2) = X2
    | esk128_0 != esk127_0
    | ~ in(X2,esk129_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h5z9k76u/lgb.p',i_0_514) ).

cnf(i_0_521,plain,
    ( esk128_0 = esk126_0
    | ordinal(X1)
    | ~ in(X1,esk129_1(X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h5z9k76u/lgb.p',i_0_521) ).

cnf(i_0_513,plain,
    ( ordinal(X1)
    | esk128_0 != esk127_0
    | ~ in(X1,esk129_1(X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h5z9k76u/lgb.p',i_0_513) ).

cnf(i_0_515,plain,
    ( in(esk130_2(X1,X2),X1)
    | esk128_0 != esk127_0
    | ~ in(X2,esk129_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h5z9k76u/lgb.p',i_0_515) ).

cnf(i_0_523,plain,
    ( esk128_0 = esk126_0
    | in(esk130_2(X1,X2),X1)
    | ~ in(X2,esk129_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h5z9k76u/lgb.p',i_0_523) ).

cnf(c_0_608,plain,
    ( esk126_0 = esk127_0
    | in(X1,esk129_1(X2))
    | X3 != X1
    | ~ ordinal(X1)
    | ~ in(X3,X2) ),
    i_0_528 ).

cnf(c_0_609,plain,
    ( esk126_0 = esk127_0
    | in(X1,esk129_1(X2))
    | ~ ordinal(X1)
    | ~ in(X1,X2) ),
    inference(er,[status(thm)],[c_0_608]) ).

cnf(c_0_610,negated_conjecture,
    ( in(esk143_1(X1),X1)
    | in(esk143_1(X1),esk142_0) ),
    i_0_591 ).

cnf(c_0_611,negated_conjecture,
    ( ordinal(esk143_1(X1))
    | in(esk143_1(X1),X1) ),
    i_0_590 ).

cnf(c_0_612,negated_conjecture,
    ( esk126_0 = esk127_0
    | in(esk143_1(X1),esk129_1(esk142_0))
    | in(esk143_1(X1),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_609,c_0_610]),c_0_611]) ).

cnf(c_0_613,plain,
    ( esk126_0 = esk127_0
    | in(esk130_2(X1,X2),X1)
    | ~ in(X2,esk129_1(X1)) ),
    i_0_531 ).

cnf(c_0_614,negated_conjecture,
    ( esk126_0 = esk127_0
    | in(esk143_1(esk129_1(esk142_0)),esk129_1(esk142_0)) ),
    inference(ef,[status(thm)],[c_0_612]) ).

cnf(c_0_615,plain,
    ( esk126_0 = esk127_0
    | esk130_2(X1,X2) = X2
    | ~ in(X2,esk129_1(X1)) ),
    i_0_530 ).

cnf(c_0_616,negated_conjecture,
    ( ~ ordinal(esk143_1(X1))
    | ~ in(esk143_1(X1),X1)
    | ~ in(esk143_1(X1),esk142_0) ),
    i_0_592 ).

cnf(c_0_617,plain,
    ( esk126_0 = esk127_0
    | ordinal(X1)
    | ~ in(X1,esk129_1(X2)) ),
    i_0_529 ).

cnf(c_0_618,plain,
    ( esk126_0 = esk127_0
    | in(esk130_2(esk142_0,esk143_1(esk129_1(esk142_0))),esk142_0) ),
    inference(spm,[status(thm)],[c_0_613,c_0_614]) ).

cnf(c_0_619,plain,
    ( esk130_2(esk142_0,esk143_1(esk129_1(esk142_0))) = esk143_1(esk129_1(esk142_0))
    | esk126_0 = esk127_0 ),
    inference(spm,[status(thm)],[c_0_615,c_0_614]) ).

cnf(c_0_620,negated_conjecture,
    ( esk126_0 = esk127_0
    | ~ in(esk143_1(X1),esk129_1(X2))
    | ~ in(esk143_1(X1),esk142_0)
    | ~ in(esk143_1(X1),X1) ),
    inference(spm,[status(thm)],[c_0_616,c_0_617]) ).

cnf(c_0_621,plain,
    ( esk126_0 = esk127_0
    | in(esk143_1(esk129_1(esk142_0)),esk142_0) ),
    inference(spm,[status(thm)],[c_0_618,c_0_619]) ).

cnf(c_0_622,plain,
    ( esk128_0 = esk126_0
    | in(X1,esk129_1(X2))
    | X3 != X1
    | ~ ordinal(X1)
    | ~ in(X3,X2) ),
    i_0_520 ).

cnf(c_0_623,negated_conjecture,
    ( esk126_0 = esk127_0
    | ~ in(esk143_1(esk129_1(esk142_0)),esk129_1(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_620,c_0_621]),c_0_614]) ).

cnf(c_0_624,plain,
    ( in(X1,esk129_1(X2))
    | X3 != X1
    | esk128_0 != esk127_0
    | ~ ordinal(X1)
    | ~ in(X3,X2) ),
    i_0_512 ).

cnf(c_0_625,plain,
    ( esk128_0 = esk126_0
    | in(X1,esk129_1(X2))
    | ~ ordinal(X1)
    | ~ in(X1,X2) ),
    inference(er,[status(thm)],[c_0_622]) ).

cnf(c_0_626,negated_conjecture,
    esk126_0 = esk127_0,
    inference(spm,[status(thm)],[c_0_623,c_0_614]) ).

cnf(c_0_627,plain,
    ( in(X1,esk129_1(X2))
    | esk128_0 != esk127_0
    | ~ ordinal(X1)
    | ~ in(X1,X2) ),
    inference(er,[status(thm)],[c_0_624]) ).

cnf(c_0_628,plain,
    ( in(X1,esk129_1(X2))
    | ~ ordinal(X1)
    | ~ in(X1,X2) ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_625,c_0_626]),c_0_627]) ).

cnf(c_0_629,plain,
    ( esk128_0 = esk126_0
    | esk130_2(X1,X2) = X2
    | ~ in(X2,esk129_1(X1)) ),
    i_0_522 ).

cnf(c_0_630,plain,
    ( esk130_2(X1,X2) = X2
    | esk128_0 != esk127_0
    | ~ in(X2,esk129_1(X1)) ),
    i_0_514 ).

cnf(c_0_631,negated_conjecture,
    ( in(esk143_1(X1),esk129_1(esk142_0))
    | in(esk143_1(X1),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_628,c_0_610]),c_0_611]) ).

cnf(c_0_632,plain,
    ( esk128_0 = esk126_0
    | ordinal(X1)
    | ~ in(X1,esk129_1(X2)) ),
    i_0_521 ).

cnf(c_0_633,plain,
    ( ordinal(X1)
    | esk128_0 != esk127_0
    | ~ in(X1,esk129_1(X2)) ),
    i_0_513 ).

cnf(c_0_634,plain,
    ( esk130_2(X1,X2) = X2
    | ~ in(X2,esk129_1(X1)) ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_629,c_0_626]),c_0_630]) ).

cnf(c_0_635,negated_conjecture,
    in(esk143_1(esk129_1(esk142_0)),esk129_1(esk142_0)),
    inference(ef,[status(thm)],[c_0_631]) ).

cnf(c_0_636,plain,
    ( ordinal(X1)
    | ~ in(X1,esk129_1(X2)) ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_632,c_0_626]),c_0_633]) ).

cnf(c_0_637,plain,
    ( in(esk130_2(X1,X2),X1)
    | esk128_0 != esk127_0
    | ~ in(X2,esk129_1(X1)) ),
    i_0_515 ).

cnf(c_0_638,plain,
    esk130_2(esk142_0,esk143_1(esk129_1(esk142_0))) = esk143_1(esk129_1(esk142_0)),
    inference(spm,[status(thm)],[c_0_634,c_0_635]) ).

cnf(c_0_639,negated_conjecture,
    ( ~ in(esk143_1(X1),esk129_1(X2))
    | ~ in(esk143_1(X1),esk142_0)
    | ~ in(esk143_1(X1),X1) ),
    inference(spm,[status(thm)],[c_0_616,c_0_636]) ).

cnf(c_0_640,plain,
    ( in(esk143_1(esk129_1(esk142_0)),esk142_0)
    | esk128_0 != esk127_0 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_637,c_0_635]),c_0_638]) ).

cnf(c_0_641,negated_conjecture,
    ( esk128_0 != esk127_0
    | ~ in(esk143_1(esk129_1(esk142_0)),esk129_1(X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_639,c_0_640]),c_0_635])]) ).

cnf(c_0_642,plain,
    ( esk128_0 = esk126_0
    | in(esk130_2(X1,X2),X1)
    | ~ in(X2,esk129_1(X1)) ),
    i_0_523 ).

cnf(c_0_643,negated_conjecture,
    esk128_0 != esk127_0,
    inference(spm,[status(thm)],[c_0_641,c_0_635]) ).

cnf(c_0_644,plain,
    ( in(esk130_2(X1,X2),X1)
    | ~ in(X2,esk129_1(X1)) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_642,c_0_626]),c_0_643]) ).

cnf(c_0_645,negated_conjecture,
    in(esk143_1(esk129_1(esk142_0)),esk142_0),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_644,c_0_635]),c_0_638]) ).

cnf(c_0_646,negated_conjecture,
    ~ in(esk143_1(esk129_1(esk142_0)),esk129_1(X1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_639,c_0_645]),c_0_635])]) ).

cnf(c_0_647,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[c_0_635,c_0_646]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU280+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n028.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
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jun 18 21:58:31 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.18/0.45  # ENIGMATIC: Selected SinE mode:
% 0.18/0.47  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.47  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.18/0.47  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.18/0.47  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.85/2.80  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.85/2.80  # No SInE strategy applied
% 8.85/2.80  # Trying AutoSched0 for 150 seconds
% 8.85/2.80  # AutoSched0-Mode selected heuristic G_E___208_C09_12_F1_SE_CS_SP_PS_S070I
% 8.85/2.80  # and selection function SelectVGNonCR.
% 8.85/2.80  #
% 8.85/2.80  # Preprocessing time       : 0.023 s
% 8.85/2.80  # Presaturation interreduction done
% 8.85/2.80  
% 8.85/2.80  # Proof found!
% 8.85/2.80  # SZS status Theorem
% 8.85/2.80  # SZS output start CNFRefutation
% See solution above
% 8.85/2.80  # Training examples: 0 positive, 0 negative
% 8.85/2.80  
% 8.85/2.80  # -------------------------------------------------
% 8.85/2.80  # User time                : 0.029 s
% 8.85/2.80  # System time              : 0.006 s
% 8.85/2.80  # Total time               : 0.035 s
% 8.85/2.80  # Maximum resident set size: 7124 pages
% 8.85/2.80  
%------------------------------------------------------------------------------