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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWV467+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : Wed Jul 20 17:47:32 EDT 2022

% Result   : Theorem 17.06s 3.52s
% Output   : CNFRefutation 17.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   19
% Syntax   : Number of clauses     :   56 (  30 unt;   4 nHn;  49 RR)
%            Number of literals    :  172 (  60 equ; 119 neg)
%            Maximal clause size   :   10 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   20 (  20 usr;  13 con; 0-7 aty)
%            Number of variables   :  133 (  14 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_99,negated_conjecture,
    s(index(pendack,host(esk12_0))) = host(esk11_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehyrxjze/input.p',i_0_99) ).

cnf(i_0_100,negated_conjecture,
    index(pendack,host(esk12_0)) = host(esk10_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehyrxjze/input.p',i_0_100) ).

cnf(i_0_102,negated_conjecture,
    leq(nbr_proc,s(index(pendack,host(esk12_0)))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehyrxjze/input.p',i_0_102) ).

cnf(i_0_87,plain,
    ( X1 = X2
    | ~ leq(X2,X1)
    | ~ leq(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehyrxjze/input.p',i_0_87) ).

cnf(i_0_109,negated_conjecture,
    leq(nbr_proc,host(esk6_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehyrxjze/input.p',i_0_109) ).

cnf(i_0_4,plain,
    leq(host(X1),nbr_proc),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehyrxjze/input.p',i_0_4) ).

cnf(i_0_110,negated_conjecture,
    index(status,host(esk6_0)) = elec_1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehyrxjze/input.p',i_0_110) ).

cnf(i_0_111,negated_conjecture,
    ( X1 = host(esk7_0)
    | leq(host(esk6_0),X1)
    | setIn(X1,index(down,host(esk6_0)))
    | ~ leq(s(zero),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehyrxjze/input.p',i_0_111) ).

cnf(i_0_88,plain,
    ( leq(X1,X2)
    | ~ leq(X3,X2)
    | ~ leq(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehyrxjze/input.p',i_0_88) ).

cnf(i_0_121,plain,
    ( leq(s(zero),esk13_7(X1,X2,X3,X4,X5,X6,X7))
    | host(X7) != nbr_proc
    | host(X5) != host(X7)
    | index(status,host(X7)) != elec_1
    | ~ setIn(X4,alive)
    | ~ epred1_3(X3,X2,X1)
    | ~ elem(m_Down(X6),queue(host(X7)))
    | ~ elem(m_Down(X5),queue(host(X4))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehyrxjze/input.p',i_0_121) ).

cnf(i_0_120,plain,
    ( host(X1) != nbr_proc
    | host(X2) != host(X1)
    | index(status,host(X1)) != elec_1
    | ~ setIn(X3,alive)
    | ~ epred1_3(X4,X5,X6)
    | ~ elem(m_Down(X7),queue(host(X1)))
    | ~ elem(m_Down(X2),queue(host(X3)))
    | ~ setIn(esk13_7(X6,X5,X4,X3,X2,X7,X1),index(down,host(X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehyrxjze/input.p',i_0_120) ).

cnf(i_0_83,plain,
    leq(X1,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehyrxjze/input.p',i_0_83) ).

cnf(i_0_122,plain,
    ( host(X1) != nbr_proc
    | host(X1) != host(X2)
    | index(status,host(X1)) != elec_1
    | ~ setIn(X3,alive)
    | ~ epred1_3(X4,X5,X6)
    | ~ elem(m_Down(X7),queue(host(X1)))
    | ~ elem(m_Down(X2),queue(host(X3)))
    | ~ leq(host(X1),esk13_7(X6,X5,X4,X3,X2,X7,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehyrxjze/input.p',i_0_122) ).

cnf(i_0_119,plain,
    ( host(X1) != nbr_proc
    | host(X2) != host(X1)
    | index(status,host(X1)) != elec_1
    | esk13_7(X3,X4,X5,X6,X2,X7,X1) != host(X7)
    | ~ setIn(X6,alive)
    | ~ epred1_3(X5,X4,X3)
    | ~ elem(m_Down(X7),queue(host(X1)))
    | ~ elem(m_Down(X2),queue(host(X6))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehyrxjze/input.p',i_0_119) ).

cnf(i_0_52,plain,
    ( elem(X1,cons(X2,X3))
    | X1 != X2 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehyrxjze/input.p',i_0_52) ).

cnf(i_0_117,plain,
    ( queue(host(X1)) = cons(m_Down(X2),X3)
    | ~ epred1_3(X3,X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehyrxjze/input.p',i_0_117) ).

cnf(i_0_116,negated_conjecture,
    epred1_3(esk5_0,esk7_0,esk6_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehyrxjze/input.p',i_0_116) ).

cnf(i_0_104,negated_conjecture,
    elem(m_Down(esk11_0),queue(host(esk12_0))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehyrxjze/input.p',i_0_104) ).

cnf(i_0_105,negated_conjecture,
    setIn(esk12_0,alive),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehyrxjze/input.p',i_0_105) ).

cnf(c_0_142,negated_conjecture,
    s(index(pendack,host(esk12_0))) = host(esk11_0),
    i_0_99 ).

cnf(c_0_143,negated_conjecture,
    index(pendack,host(esk12_0)) = host(esk10_0),
    i_0_100 ).

cnf(c_0_144,negated_conjecture,
    leq(nbr_proc,s(index(pendack,host(esk12_0)))),
    i_0_102 ).

cnf(c_0_145,negated_conjecture,
    s(host(esk10_0)) = host(esk11_0),
    inference(rw,[status(thm)],[c_0_142,c_0_143]) ).

cnf(c_0_146,plain,
    ( X1 = X2
    | ~ leq(X2,X1)
    | ~ leq(X1,X2) ),
    i_0_87 ).

cnf(c_0_147,negated_conjecture,
    leq(nbr_proc,host(esk6_0)),
    i_0_109 ).

cnf(c_0_148,plain,
    leq(host(X1),nbr_proc),
    i_0_4 ).

cnf(c_0_149,negated_conjecture,
    leq(nbr_proc,host(esk11_0)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_144,c_0_143]),c_0_145]) ).

cnf(c_0_150,negated_conjecture,
    index(status,host(esk6_0)) = elec_1,
    i_0_110 ).

cnf(c_0_151,negated_conjecture,
    host(esk6_0) = nbr_proc,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_148])]) ).

cnf(c_0_152,negated_conjecture,
    ( X1 = host(esk7_0)
    | leq(host(esk6_0),X1)
    | setIn(X1,index(down,host(esk6_0)))
    | ~ leq(s(zero),X1) ),
    i_0_111 ).

cnf(c_0_153,plain,
    ( leq(X1,X2)
    | ~ leq(X3,X2)
    | ~ leq(X1,X3) ),
    i_0_88 ).

cnf(c_0_154,plain,
    ( leq(s(zero),esk13_7(X1,X2,X3,X4,X5,X6,X7))
    | host(X7) != nbr_proc
    | host(X5) != host(X7)
    | index(status,host(X7)) != elec_1
    | ~ setIn(X4,alive)
    | ~ epred1_3(X3,X2,X1)
    | ~ elem(m_Down(X6),queue(host(X7)))
    | ~ elem(m_Down(X5),queue(host(X4))) ),
    i_0_121 ).

cnf(c_0_155,plain,
    ( host(X1) != nbr_proc
    | host(X2) != host(X1)
    | index(status,host(X1)) != elec_1
    | ~ setIn(X3,alive)
    | ~ epred1_3(X4,X5,X6)
    | ~ elem(m_Down(X7),queue(host(X1)))
    | ~ elem(m_Down(X2),queue(host(X3)))
    | ~ setIn(esk13_7(X6,X5,X4,X3,X2,X7,X1),index(down,host(X1))) ),
    i_0_120 ).

cnf(c_0_156,plain,
    host(esk11_0) = nbr_proc,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_149]),c_0_148])]) ).

cnf(c_0_157,negated_conjecture,
    index(status,nbr_proc) = elec_1,
    inference(rw,[status(thm)],[c_0_150,c_0_151]) ).

cnf(c_0_158,negated_conjecture,
    ( X1 = host(esk7_0)
    | leq(nbr_proc,X1)
    | setIn(X1,index(down,nbr_proc))
    | ~ leq(s(zero),X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_152,c_0_151]),c_0_151]) ).

cnf(c_0_159,plain,
    ( leq(X1,esk13_7(X2,X3,X4,X5,X6,X7,X8))
    | index(status,host(X8)) != elec_1
    | host(X6) != host(X8)
    | host(X8) != nbr_proc
    | ~ epred1_3(X4,X3,X2)
    | ~ elem(m_Down(X7),queue(host(X8)))
    | ~ elem(m_Down(X6),queue(host(X5)))
    | ~ leq(X1,s(zero))
    | ~ setIn(X5,alive) ),
    inference(spm,[status(thm)],[c_0_153,c_0_154]) ).

cnf(c_0_160,plain,
    leq(X1,X1),
    i_0_83 ).

cnf(c_0_161,plain,
    ( host(X1) != nbr_proc
    | host(X1) != host(X2)
    | index(status,host(X1)) != elec_1
    | ~ setIn(X3,alive)
    | ~ epred1_3(X4,X5,X6)
    | ~ elem(m_Down(X7),queue(host(X1)))
    | ~ elem(m_Down(X2),queue(host(X3)))
    | ~ leq(host(X1),esk13_7(X6,X5,X4,X3,X2,X7,X1)) ),
    i_0_122 ).

cnf(c_0_162,plain,
    ( host(X1) != nbr_proc
    | ~ epred1_3(X2,X3,X4)
    | ~ elem(m_Down(X1),queue(host(X5)))
    | ~ elem(m_Down(X6),queue(nbr_proc))
    | ~ setIn(esk13_7(X4,X3,X2,X5,X1,X6,esk11_0),index(down,nbr_proc))
    | ~ setIn(X5,alive) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_157])]) ).

cnf(c_0_163,plain,
    ( esk13_7(X1,X2,X3,X4,X5,X6,X7) = host(esk7_0)
    | leq(nbr_proc,esk13_7(X1,X2,X3,X4,X5,X6,X7))
    | setIn(esk13_7(X1,X2,X3,X4,X5,X6,X7),index(down,nbr_proc))
    | index(status,host(X7)) != elec_1
    | host(X5) != host(X7)
    | host(X7) != nbr_proc
    | ~ epred1_3(X3,X2,X1)
    | ~ elem(m_Down(X6),queue(host(X7)))
    | ~ elem(m_Down(X5),queue(host(X4)))
    | ~ setIn(X4,alive) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_160])]) ).

cnf(c_0_164,plain,
    ( host(X1) != nbr_proc
    | ~ epred1_3(X2,X3,X4)
    | ~ elem(m_Down(X1),queue(host(X5)))
    | ~ elem(m_Down(X6),queue(nbr_proc))
    | ~ leq(nbr_proc,esk13_7(X4,X3,X2,X5,X1,X6,esk11_0))
    | ~ setIn(X5,alive) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_156]),c_0_157])]) ).

cnf(c_0_165,plain,
    ( host(X1) != nbr_proc
    | host(X2) != host(X1)
    | index(status,host(X1)) != elec_1
    | esk13_7(X3,X4,X5,X6,X2,X7,X1) != host(X7)
    | ~ setIn(X6,alive)
    | ~ epred1_3(X5,X4,X3)
    | ~ elem(m_Down(X7),queue(host(X1)))
    | ~ elem(m_Down(X2),queue(host(X6))) ),
    i_0_119 ).

cnf(c_0_166,plain,
    ( esk13_7(X1,X2,X3,X4,X5,X6,esk11_0) = host(esk7_0)
    | host(X5) != nbr_proc
    | ~ epred1_3(X3,X2,X1)
    | ~ elem(m_Down(X5),queue(host(X4)))
    | ~ elem(m_Down(X6),queue(nbr_proc))
    | ~ setIn(X4,alive) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_156]),c_0_157]),c_0_156]),c_0_156]),c_0_156])]),c_0_164]) ).

cnf(c_0_167,plain,
    ( elem(X1,cons(X2,X3))
    | X1 != X2 ),
    i_0_52 ).

cnf(c_0_168,plain,
    ( queue(host(X1)) = cons(m_Down(X2),X3)
    | ~ epred1_3(X3,X2,X1) ),
    i_0_117 ).

cnf(c_0_169,negated_conjecture,
    epred1_3(esk5_0,esk7_0,esk6_0),
    i_0_116 ).

cnf(c_0_170,plain,
    ( host(esk7_0) != host(X1)
    | host(X2) != nbr_proc
    | ~ epred1_3(X3,X4,X5)
    | ~ elem(m_Down(X2),queue(host(X6)))
    | ~ elem(m_Down(X1),queue(nbr_proc))
    | ~ setIn(X6,alive) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_156]),c_0_157]),c_0_156]),c_0_156]),c_0_156])]) ).

cnf(c_0_171,negated_conjecture,
    elem(m_Down(esk11_0),queue(host(esk12_0))),
    i_0_104 ).

cnf(c_0_172,negated_conjecture,
    setIn(esk12_0,alive),
    i_0_105 ).

cnf(c_0_173,plain,
    elem(X1,cons(X1,X2)),
    inference(er,[status(thm)],[c_0_167]) ).

cnf(c_0_174,negated_conjecture,
    cons(m_Down(esk7_0),esk5_0) = queue(nbr_proc),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_151]) ).

cnf(c_0_175,negated_conjecture,
    ( host(esk7_0) != host(X1)
    | ~ epred1_3(X2,X3,X4)
    | ~ elem(m_Down(X1),queue(nbr_proc)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_156]),c_0_172])]) ).

cnf(c_0_176,plain,
    elem(m_Down(esk7_0),queue(nbr_proc)),
    inference(spm,[status(thm)],[c_0_173,c_0_174]) ).

cnf(c_0_177,plain,
    ~ epred1_3(X1,X2,X3),
    inference(spm,[status(thm)],[c_0_175,c_0_176]) ).

cnf(c_0_178,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[c_0_169,c_0_177]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SWV467+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.11  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.33  % Computer : n028.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 15 08:34:11 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.17/0.44  # ENIGMATIC: Selected SinE mode:
% 0.17/0.45  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.17/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.17/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 17.06/3.52  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 17.06/3.52  # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d45-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 89; version: 991; iters: 150)
% 17.06/3.52  # Preprocessing time       : 1.128 s
% 17.06/3.52  
% 17.06/3.52  # Proof found!
% 17.06/3.52  # SZS status Theorem
% 17.06/3.52  # SZS output start CNFRefutation
% See solution above
% 17.06/3.52  # Training examples: 0 positive, 0 negative
% 17.06/3.52  
% 17.06/3.52  # -------------------------------------------------
% 17.06/3.52  # User time                : 1.018 s
% 17.06/3.52  # System time              : 0.127 s
% 17.06/3.52  # Total time               : 1.145 s
% 17.06/3.52  # ...preprocessing         : 1.128 s
% 17.06/3.52  # ...main loop             : 0.016 s
% 17.06/3.52  # Maximum resident set size: 178456 pages
% 17.06/3.52  
%------------------------------------------------------------------------------