TSTP Solution File: SWV471+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWV471+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n005.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 17:47:33 EDT 2022

% Result   : Theorem 16.74s 3.52s
% Output   : CNFRefutation 16.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   17
% Syntax   : Number of clauses     :   58 (  28 unt;   8 nHn;  55 RR)
%            Number of literals    :  176 (  66 equ; 120 neg)
%            Maximal clause size   :    8 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   23 (  23 usr;  13 con; 0-7 aty)
%            Number of variables   :  112 (   9 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_113,plain,
    ( leq(s(zero),esk12_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-ldpkzq07/input.p',i_0_113) ).

cnf(i_0_109,negated_conjecture,
    epred1_3(esk5_0,esk6_0,esk7_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ldpkzq07/input.p',i_0_109) ).

cnf(i_0_101,negated_conjecture,
    host(esk9_0) = host(esk11_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ldpkzq07/input.p',i_0_101) ).

cnf(i_0_100,negated_conjecture,
    host(esk11_0) = nbr_proc,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ldpkzq07/input.p',i_0_100) ).

cnf(i_0_99,negated_conjecture,
    index(status,host(esk11_0)) = elec_1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ldpkzq07/input.p',i_0_99) ).

cnf(i_0_102,negated_conjecture,
    elem(m_Down(esk10_0),snoc(queue(host(esk11_0)),m_Ack(esk7_0,esk6_0))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ldpkzq07/input.p',i_0_102) ).

cnf(i_0_56,plain,
    ( X1 = X2
    | elem(X1,X3)
    | ~ elem(X1,snoc(X3,X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ldpkzq07/input.p',i_0_56) ).

cnf(i_0_98,negated_conjecture,
    setIn(esk8_0,alive),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ldpkzq07/input.p',i_0_98) ).

cnf(i_0_106,negated_conjecture,
    host(esk6_0) = host(esk8_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ldpkzq07/input.p',i_0_106) ).

cnf(i_0_12,plain,
    m_Ack(X1,X2) != m_Down(X3),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ldpkzq07/input.p',i_0_12) ).

cnf(i_0_51,plain,
    ( elem(X1,cons(X2,X3))
    | ~ elem(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ldpkzq07/input.p',i_0_51) ).

cnf(i_0_97,negated_conjecture,
    elem(m_Down(esk9_0),esk5_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ldpkzq07/input.p',i_0_97) ).

cnf(i_0_110,plain,
    ( queue(host(X1)) = cons(m_Halt(X2),X3)
    | ~ epred1_3(X3,X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ldpkzq07/input.p',i_0_110) ).

cnf(i_0_112,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(esk12_7(X6,X5,X4,X3,X2,X7,X1),index(down,host(X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ldpkzq07/input.p',i_0_112) ).

cnf(i_0_114,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),esk12_7(X6,X5,X4,X3,X2,X7,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ldpkzq07/input.p',i_0_114) ).

cnf(i_0_103,negated_conjecture,
    ( X1 = host(esk10_0)
    | leq(host(esk11_0),X1)
    | setIn(X1,index(down,host(esk11_0)))
    | ~ leq(s(zero),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ldpkzq07/input.p',i_0_103) ).

cnf(i_0_111,plain,
    ( host(X1) != nbr_proc
    | host(X2) != host(X1)
    | index(status,host(X1)) != elec_1
    | esk12_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-ldpkzq07/input.p',i_0_111) ).

cnf(c_0_132,plain,
    ( leq(s(zero),esk12_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_113 ).

cnf(c_0_133,negated_conjecture,
    epred1_3(esk5_0,esk6_0,esk7_0),
    i_0_109 ).

cnf(c_0_134,negated_conjecture,
    host(esk9_0) = host(esk11_0),
    i_0_101 ).

cnf(c_0_135,negated_conjecture,
    host(esk11_0) = nbr_proc,
    i_0_100 ).

cnf(c_0_136,negated_conjecture,
    index(status,host(esk11_0)) = elec_1,
    i_0_99 ).

cnf(c_0_137,negated_conjecture,
    elem(m_Down(esk10_0),snoc(queue(host(esk11_0)),m_Ack(esk7_0,esk6_0))),
    i_0_102 ).

cnf(c_0_138,negated_conjecture,
    ( leq(s(zero),esk12_7(esk7_0,esk6_0,esk5_0,X1,X2,X3,X4))
    | index(status,host(X4)) != elec_1
    | host(X2) != host(X4)
    | host(X4) != nbr_proc
    | ~ elem(m_Down(X3),queue(host(X4)))
    | ~ elem(m_Down(X2),queue(host(X1)))
    | ~ setIn(X1,alive) ),
    inference(spm,[status(thm)],[c_0_132,c_0_133]) ).

cnf(c_0_139,negated_conjecture,
    host(esk9_0) = nbr_proc,
    inference(rw,[status(thm)],[c_0_134,c_0_135]) ).

cnf(c_0_140,negated_conjecture,
    index(status,nbr_proc) = elec_1,
    inference(rw,[status(thm)],[c_0_136,c_0_135]) ).

cnf(c_0_141,plain,
    ( X1 = X2
    | elem(X1,X3)
    | ~ elem(X1,snoc(X3,X2)) ),
    i_0_56 ).

cnf(c_0_142,negated_conjecture,
    elem(m_Down(esk10_0),snoc(queue(nbr_proc),m_Ack(esk7_0,esk6_0))),
    inference(rw,[status(thm)],[c_0_137,c_0_135]) ).

cnf(c_0_143,negated_conjecture,
    ( leq(s(zero),esk12_7(esk7_0,esk6_0,esk5_0,X1,X2,X3,esk9_0))
    | host(X2) != nbr_proc
    | ~ elem(m_Down(X2),queue(host(X1)))
    | ~ elem(m_Down(X3),queue(nbr_proc))
    | ~ setIn(X1,alive) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_140])]) ).

cnf(c_0_144,negated_conjecture,
    setIn(esk8_0,alive),
    i_0_98 ).

cnf(c_0_145,negated_conjecture,
    host(esk6_0) = host(esk8_0),
    i_0_106 ).

cnf(c_0_146,negated_conjecture,
    ( m_Ack(esk7_0,esk6_0) = m_Down(esk10_0)
    | elem(m_Down(esk10_0),queue(nbr_proc)) ),
    inference(spm,[status(thm)],[c_0_141,c_0_142]) ).

cnf(c_0_147,plain,
    m_Ack(X1,X2) != m_Down(X3),
    i_0_12 ).

cnf(c_0_148,plain,
    ( elem(X1,cons(X2,X3))
    | ~ elem(X1,X3) ),
    i_0_51 ).

cnf(c_0_149,negated_conjecture,
    elem(m_Down(esk9_0),esk5_0),
    i_0_97 ).

cnf(c_0_150,plain,
    ( queue(host(X1)) = cons(m_Halt(X2),X3)
    | ~ epred1_3(X3,X1,X2) ),
    i_0_110 ).

cnf(c_0_151,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(esk12_7(X6,X5,X4,X3,X2,X7,X1),index(down,host(X1))) ),
    i_0_112 ).

cnf(c_0_152,negated_conjecture,
    ( leq(s(zero),esk12_7(esk7_0,esk6_0,esk5_0,esk8_0,X1,X2,esk9_0))
    | host(X1) != nbr_proc
    | ~ elem(m_Down(X1),queue(host(esk6_0)))
    | ~ elem(m_Down(X2),queue(nbr_proc)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_145]) ).

cnf(c_0_153,negated_conjecture,
    elem(m_Down(esk10_0),queue(nbr_proc)),
    inference(sr,[status(thm)],[c_0_146,c_0_147]) ).

cnf(c_0_154,negated_conjecture,
    elem(m_Down(esk9_0),cons(X1,esk5_0)),
    inference(spm,[status(thm)],[c_0_148,c_0_149]) ).

cnf(c_0_155,negated_conjecture,
    cons(m_Halt(esk7_0),esk5_0) = queue(host(esk6_0)),
    inference(spm,[status(thm)],[c_0_150,c_0_133]) ).

cnf(c_0_156,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),esk12_7(X6,X5,X4,X3,X2,X7,X1)) ),
    i_0_114 ).

cnf(c_0_157,negated_conjecture,
    ( index(status,host(X1)) != elec_1
    | host(X1) != host(X2)
    | host(X1) != nbr_proc
    | ~ elem(m_Down(X3),queue(host(X1)))
    | ~ elem(m_Down(X2),queue(host(X4)))
    | ~ setIn(esk12_7(esk7_0,esk6_0,esk5_0,X4,X2,X3,X1),index(down,host(X1)))
    | ~ setIn(X4,alive) ),
    inference(spm,[status(thm)],[c_0_151,c_0_133]) ).

cnf(c_0_158,negated_conjecture,
    ( X1 = host(esk10_0)
    | leq(host(esk11_0),X1)
    | setIn(X1,index(down,host(esk11_0)))
    | ~ leq(s(zero),X1) ),
    i_0_103 ).

cnf(c_0_159,negated_conjecture,
    ( leq(s(zero),esk12_7(esk7_0,esk6_0,esk5_0,esk8_0,X1,esk10_0,esk9_0))
    | host(X1) != nbr_proc
    | ~ elem(m_Down(X1),queue(host(esk6_0))) ),
    inference(spm,[status(thm)],[c_0_152,c_0_153]) ).

cnf(c_0_160,negated_conjecture,
    elem(m_Down(esk9_0),queue(host(esk6_0))),
    inference(spm,[status(thm)],[c_0_154,c_0_155]) ).

cnf(c_0_161,negated_conjecture,
    ( index(status,host(X1)) != elec_1
    | host(X1) != host(X2)
    | host(X1) != nbr_proc
    | ~ elem(m_Down(X3),queue(host(X1)))
    | ~ elem(m_Down(X2),queue(host(X4)))
    | ~ leq(host(X1),esk12_7(esk7_0,esk6_0,esk5_0,X4,X2,X3,X1))
    | ~ setIn(X4,alive) ),
    inference(spm,[status(thm)],[c_0_156,c_0_133]) ).

cnf(c_0_162,negated_conjecture,
    ( host(X1) != nbr_proc
    | ~ elem(m_Down(X1),queue(host(X2)))
    | ~ elem(m_Down(X3),queue(nbr_proc))
    | ~ setIn(esk12_7(esk7_0,esk6_0,esk5_0,X2,X1,X3,esk9_0),index(down,nbr_proc))
    | ~ setIn(X2,alive) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_139]),c_0_140])]) ).

cnf(c_0_163,negated_conjecture,
    ( X1 = host(esk10_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_158,c_0_135]),c_0_135]) ).

cnf(c_0_164,negated_conjecture,
    leq(s(zero),esk12_7(esk7_0,esk6_0,esk5_0,esk8_0,esk9_0,esk10_0,esk9_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_139])]) ).

cnf(c_0_165,negated_conjecture,
    ( host(X1) != nbr_proc
    | ~ elem(m_Down(X1),queue(host(X2)))
    | ~ elem(m_Down(X3),queue(nbr_proc))
    | ~ leq(nbr_proc,esk12_7(esk7_0,esk6_0,esk5_0,X2,X1,X3,esk9_0))
    | ~ setIn(X2,alive) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_139]),c_0_140])]) ).

cnf(c_0_166,negated_conjecture,
    ( host(X1) != nbr_proc
    | ~ elem(m_Down(X1),queue(host(esk6_0)))
    | ~ elem(m_Down(X2),queue(nbr_proc))
    | ~ setIn(esk12_7(esk7_0,esk6_0,esk5_0,esk8_0,X1,X2,esk9_0),index(down,nbr_proc)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_144]),c_0_145]) ).

cnf(c_0_167,negated_conjecture,
    ( esk12_7(esk7_0,esk6_0,esk5_0,esk8_0,esk9_0,esk10_0,esk9_0) = host(esk10_0)
    | leq(nbr_proc,esk12_7(esk7_0,esk6_0,esk5_0,esk8_0,esk9_0,esk10_0,esk9_0))
    | setIn(esk12_7(esk7_0,esk6_0,esk5_0,esk8_0,esk9_0,esk10_0,esk9_0),index(down,nbr_proc)) ),
    inference(spm,[status(thm)],[c_0_163,c_0_164]) ).

cnf(c_0_168,negated_conjecture,
    ( host(X1) != nbr_proc
    | ~ elem(m_Down(X1),queue(host(esk6_0)))
    | ~ elem(m_Down(X2),queue(nbr_proc))
    | ~ leq(nbr_proc,esk12_7(esk7_0,esk6_0,esk5_0,esk8_0,X1,X2,esk9_0)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_144]),c_0_145]) ).

cnf(c_0_169,negated_conjecture,
    ( esk12_7(esk7_0,esk6_0,esk5_0,esk8_0,esk9_0,esk10_0,esk9_0) = host(esk10_0)
    | leq(nbr_proc,esk12_7(esk7_0,esk6_0,esk5_0,esk8_0,esk9_0,esk10_0,esk9_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_139]),c_0_160]),c_0_153])]) ).

cnf(c_0_170,plain,
    ( host(X1) != nbr_proc
    | host(X2) != host(X1)
    | index(status,host(X1)) != elec_1
    | esk12_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_111 ).

cnf(c_0_171,negated_conjecture,
    esk12_7(esk7_0,esk6_0,esk5_0,esk8_0,esk9_0,esk10_0,esk9_0) = host(esk10_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_139]),c_0_160]),c_0_153])]) ).

cnf(c_0_172,plain,
    $false,
    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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_139]),c_0_140]),c_0_139]),c_0_133]),c_0_139]),c_0_153]),c_0_145]),c_0_160]),c_0_144])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SWV471+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.33  % Computer : n005.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 19:28:25 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected SinE mode:
% 0.18/0.45  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.18/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.18/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 16.74/3.52  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 16.74/3.52  # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 79; version: 991; iters: 150)
% 16.74/3.52  # Preprocessing time       : 0.871 s
% 16.74/3.52  # Presaturation interreduction done
% 16.74/3.52  
% 16.74/3.52  # Proof found!
% 16.74/3.52  # SZS status Theorem
% 16.74/3.52  # SZS output start CNFRefutation
% See solution above
% 16.74/3.52  # Training examples: 0 positive, 0 negative
% 16.74/3.52  
% 16.74/3.52  # -------------------------------------------------
% 16.74/3.52  # User time                : 0.911 s
% 16.74/3.52  # System time              : 0.118 s
% 16.74/3.52  # Total time               : 1.029 s
% 16.74/3.52  # ...preprocessing         : 0.871 s
% 16.74/3.52  # ...main loop             : 0.158 s
% 16.74/3.52  # Maximum resident set size: 168132 pages
% 16.74/3.52  
%------------------------------------------------------------------------------