TSTP Solution File: ALG138+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : ALG138+1 : TPTP v8.1.0. Released v2.7.0.
% 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 : Thu Jul 14 15:08:25 EDT 2022

% Result   : Unsatisfiable 6.84s 2.23s
% Output   : CNFRefutation 6.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   18
% Syntax   : Number of clauses     :   48 (  31 unt;   9 nHn;  48 RR)
%            Number of literals    :   77 (  76 equ;  36 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_66,plain,
    op(e1,e1) != op(e1,e0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lql_eaq7/lgb.p',i_0_66) ).

cnf(i_0_105,plain,
    op(e1,e1) = e1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lql_eaq7/lgb.p',i_0_105) ).

cnf(i_0_45,plain,
    ( op(e0,e0) = e1
    | op(e1,e0) = e1
    | op(e2,e0) = e1
    | op(e3,e0) = e1 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lql_eaq7/lgb.p',i_0_45) ).

cnf(i_0_106,plain,
    op(e0,e0) = e0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lql_eaq7/lgb.p',i_0_106) ).

cnf(i_0_102,plain,
    e1 != e0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lql_eaq7/lgb.p',i_0_102) ).

cnf(i_0_52,plain,
    op(e3,e3) != op(e3,e0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lql_eaq7/lgb.p',i_0_52) ).

cnf(i_0_103,plain,
    op(e3,e3) = e3,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lql_eaq7/lgb.p',i_0_103) ).

cnf(i_0_116,plain,
    ( op(e3,e0) != e1
    | op(op(e3,e0),e0) != e2 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lql_eaq7/lgb.p',i_0_116) ).

cnf(i_0_59,plain,
    op(e2,e2) != op(e2,e0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lql_eaq7/lgb.p',i_0_59) ).

cnf(i_0_104,plain,
    op(e2,e2) = e2,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lql_eaq7/lgb.p',i_0_104) ).

cnf(i_0_41,plain,
    ( op(e0,e0) = e3
    | op(e1,e0) = e3
    | op(e2,e0) = e3
    | op(e3,e0) = e3 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lql_eaq7/lgb.p',i_0_41) ).

cnf(i_0_100,plain,
    e3 != e0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lql_eaq7/lgb.p',i_0_100) ).

cnf(i_0_118,plain,
    ( op(e2,e0) != e1
    | op(op(e2,e0),e0) != e3 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lql_eaq7/lgb.p',i_0_118) ).

cnf(i_0_43,plain,
    ( op(e0,e0) = e2
    | op(e1,e0) = e2
    | op(e2,e0) = e2
    | op(e3,e0) = e2 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lql_eaq7/lgb.p',i_0_43) ).

cnf(i_0_101,plain,
    e2 != e0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lql_eaq7/lgb.p',i_0_101) ).

cnf(i_0_98,plain,
    e3 != e1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lql_eaq7/lgb.p',i_0_98) ).

cnf(i_0_122,plain,
    ( op(e3,e0) != e2
    | op(op(e3,e0),e0) != e1 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lql_eaq7/lgb.p',i_0_122) ).

cnf(i_0_99,plain,
    e2 != e1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lql_eaq7/lgb.p',i_0_99) ).

cnf(c_0_141,plain,
    op(e1,e1) != op(e1,e0),
    i_0_66 ).

cnf(c_0_142,plain,
    op(e1,e1) = e1,
    i_0_105 ).

cnf(c_0_143,plain,
    ( op(e0,e0) = e1
    | op(e1,e0) = e1
    | op(e2,e0) = e1
    | op(e3,e0) = e1 ),
    i_0_45 ).

cnf(c_0_144,plain,
    op(e0,e0) = e0,
    i_0_106 ).

cnf(c_0_145,plain,
    e1 != e0,
    i_0_102 ).

cnf(c_0_146,plain,
    op(e1,e0) != e1,
    inference(rw,[status(thm)],[c_0_141,c_0_142]) ).

cnf(c_0_147,plain,
    op(e3,e3) != op(e3,e0),
    i_0_52 ).

cnf(c_0_148,plain,
    op(e3,e3) = e3,
    i_0_103 ).

cnf(c_0_149,plain,
    ( op(e3,e0) != e1
    | op(op(e3,e0),e0) != e2 ),
    i_0_116 ).

cnf(c_0_150,plain,
    ( op(e3,e0) = e1
    | op(e2,e0) = e1 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_143,c_0_144]),c_0_145]),c_0_146]) ).

cnf(c_0_151,plain,
    op(e2,e2) != op(e2,e0),
    i_0_59 ).

cnf(c_0_152,plain,
    op(e2,e2) = e2,
    i_0_104 ).

cnf(c_0_153,plain,
    ( op(e0,e0) = e3
    | op(e1,e0) = e3
    | op(e2,e0) = e3
    | op(e3,e0) = e3 ),
    i_0_41 ).

cnf(c_0_154,plain,
    e3 != e0,
    i_0_100 ).

cnf(c_0_155,plain,
    op(e3,e0) != e3,
    inference(rw,[status(thm)],[c_0_147,c_0_148]) ).

cnf(c_0_156,plain,
    ( op(e2,e0) != e1
    | op(op(e2,e0),e0) != e3 ),
    i_0_118 ).

cnf(c_0_157,plain,
    ( op(e2,e0) = e1
    | op(e1,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_149,c_0_150]) ).

cnf(c_0_158,plain,
    ( op(e0,e0) = e2
    | op(e1,e0) = e2
    | op(e2,e0) = e2
    | op(e3,e0) = e2 ),
    i_0_43 ).

cnf(c_0_159,plain,
    e2 != e0,
    i_0_101 ).

cnf(c_0_160,plain,
    op(e2,e0) != e2,
    inference(rw,[status(thm)],[c_0_151,c_0_152]) ).

cnf(c_0_161,plain,
    ( op(e2,e0) = e3
    | op(e1,e0) = e3 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_153,c_0_144]),c_0_154]),c_0_155]) ).

cnf(c_0_162,plain,
    e3 != e1,
    i_0_98 ).

cnf(c_0_163,plain,
    ( op(e1,e0) != e3
    | op(e1,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_156,c_0_157]) ).

cnf(c_0_164,plain,
    ( op(e3,e0) = e2
    | op(e1,e0) = e2 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_158,c_0_144]),c_0_159]),c_0_160]) ).

cnf(c_0_165,plain,
    op(e1,e0) != e2,
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_157]),c_0_162]),c_0_163]) ).

cnf(c_0_166,plain,
    ( op(e3,e0) != e2
    | op(op(e3,e0),e0) != e1 ),
    i_0_122 ).

cnf(c_0_167,plain,
    op(e3,e0) = e2,
    inference(sr,[status(thm)],[c_0_164,c_0_165]) ).

cnf(c_0_168,plain,
    op(e2,e0) != e1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_166,c_0_167]),c_0_167])]) ).

cnf(c_0_169,plain,
    e2 != e1,
    i_0_99 ).

cnf(c_0_170,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_150,c_0_168]),c_0_167]),c_0_169]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : ALG138+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.33  % Computer : n023.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Wed Jun  8 11:40:24 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 6.84/2.23  # ENIGMATIC: Solved by autoschedule-lgb:
% 6.84/2.23  # No SInE strategy applied
% 6.84/2.23  # Trying AutoSched0 for 150 seconds
% 6.84/2.23  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S005I
% 6.84/2.23  # and selection function PSelectPureVarNegLiterals.
% 6.84/2.23  #
% 6.84/2.23  # Preprocessing time       : 0.013 s
% 6.84/2.23  # Presaturation interreduction done
% 6.84/2.23  
% 6.84/2.23  # Proof found!
% 6.84/2.23  # SZS status Theorem
% 6.84/2.23  # SZS output start CNFRefutation
% See solution above
% 6.84/2.23  # Training examples: 0 positive, 0 negative
% 6.84/2.23  
% 6.84/2.23  # -------------------------------------------------
% 6.84/2.23  # User time                : 0.016 s
% 6.84/2.23  # System time              : 0.004 s
% 6.84/2.23  # Total time               : 0.019 s
% 6.84/2.23  # Maximum resident set size: 7128 pages
% 6.84/2.23  
%------------------------------------------------------------------------------