TSTP Solution File: SWV448+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWV448+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n013.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 17:47:28 EDT 2022

% Result   : Theorem 14.82s 3.27s
% Output   : CNFRefutation 14.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   17
% Syntax   : Number of clauses     :   58 (  27 unt;  12 nHn;  53 RR)
%            Number of literals    :  172 (  65 equ;  99 neg)
%            Maximal clause size   :    8 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   20 (  20 usr;  13 con; 0-6 aty)
%            Number of variables   :   89 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_117,plain,
    ( leq(host(X1),host(X2))
    | leq(s(zero),esk11_6(X3,X4,X5,X2,X6,X1))
    | index(status,host(X1)) != elec_1
    | index(status,host(X2)) != norm
    | index(ldr,host(X2)) != host(X2)
    | ~ setIn(X2,alive)
    | ~ epred1_3(X5,X4,X3)
    | ~ elem(m_Down(X6),queue(host(X1))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-box06xmo/input.p',i_0_117) ).

cnf(i_0_113,negated_conjecture,
    epred1_3(esk5_0,esk7_0,esk6_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-box06xmo/input.p',i_0_113) ).

cnf(i_0_87,plain,
    ( X1 = X2
    | ~ leq(X2,X1)
    | ~ leq(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-box06xmo/input.p',i_0_87) ).

cnf(i_0_106,negated_conjecture,
    leq(nbr_proc,host(esk6_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-box06xmo/input.p',i_0_106) ).

cnf(i_0_4,plain,
    leq(host(X1),nbr_proc),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-box06xmo/input.p',i_0_4) ).

cnf(i_0_101,negated_conjecture,
    setIn(esk10_0,alive),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-box06xmo/input.p',i_0_101) ).

cnf(i_0_99,negated_conjecture,
    index(ldr,host(esk10_0)) = host(esk10_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-box06xmo/input.p',i_0_99) ).

cnf(i_0_98,negated_conjecture,
    index(status,host(esk10_0)) = norm,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-box06xmo/input.p',i_0_98) ).

cnf(i_0_100,negated_conjecture,
    host(esk6_0) = host(esk9_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-box06xmo/input.p',i_0_100) ).

cnf(i_0_107,negated_conjecture,
    index(status,host(esk6_0)) = elec_1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-box06xmo/input.p',i_0_107) ).

cnf(i_0_52,plain,
    ( elem(X1,cons(X2,X3))
    | X1 != X2 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-box06xmo/input.p',i_0_52) ).

cnf(i_0_114,plain,
    ( queue(host(X1)) = cons(m_Down(X2),X3)
    | ~ epred1_3(X3,X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-box06xmo/input.p',i_0_114) ).

cnf(i_0_118,plain,
    ( leq(host(X1),host(X2))
    | index(status,host(X2)) != norm
    | index(status,host(X1)) != elec_1
    | index(ldr,host(X2)) != host(X2)
    | ~ setIn(X2,alive)
    | ~ epred1_3(X3,X4,X5)
    | ~ elem(m_Down(X6),queue(host(X1)))
    | ~ leq(host(X1),esk11_6(X5,X4,X3,X2,X6,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-box06xmo/input.p',i_0_118) ).

cnf(i_0_116,plain,
    ( leq(host(X1),host(X2))
    | index(status,host(X1)) != elec_1
    | index(status,host(X2)) != norm
    | index(ldr,host(X2)) != host(X2)
    | ~ setIn(X2,alive)
    | ~ epred1_3(X3,X4,X5)
    | ~ elem(m_Down(X6),queue(host(X1)))
    | ~ setIn(esk11_6(X5,X4,X3,X2,X6,X1),index(down,host(X1))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-box06xmo/input.p',i_0_116) ).

cnf(i_0_108,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/sandbox2/tmp/enigma-theBenchmark.p-box06xmo/input.p',i_0_108) ).

cnf(i_0_115,plain,
    ( leq(host(X1),host(X2))
    | index(status,host(X1)) != elec_1
    | index(status,host(X2)) != norm
    | index(ldr,host(X2)) != host(X2)
    | esk11_6(X3,X4,X5,X2,X6,X1) != host(X6)
    | ~ setIn(X2,alive)
    | ~ epred1_3(X5,X4,X3)
    | ~ elem(m_Down(X6),queue(host(X1))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-box06xmo/input.p',i_0_115) ).

cnf(i_0_103,negated_conjecture,
    host(esk10_0) != host(esk6_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-box06xmo/input.p',i_0_103) ).

cnf(c_0_136,plain,
    ( leq(host(X1),host(X2))
    | leq(s(zero),esk11_6(X3,X4,X5,X2,X6,X1))
    | index(status,host(X1)) != elec_1
    | index(status,host(X2)) != norm
    | index(ldr,host(X2)) != host(X2)
    | ~ setIn(X2,alive)
    | ~ epred1_3(X5,X4,X3)
    | ~ elem(m_Down(X6),queue(host(X1))) ),
    i_0_117 ).

cnf(c_0_137,negated_conjecture,
    epred1_3(esk5_0,esk7_0,esk6_0),
    i_0_113 ).

cnf(c_0_138,plain,
    ( X1 = X2
    | ~ leq(X2,X1)
    | ~ leq(X1,X2) ),
    i_0_87 ).

cnf(c_0_139,negated_conjecture,
    leq(nbr_proc,host(esk6_0)),
    i_0_106 ).

cnf(c_0_140,plain,
    leq(host(X1),nbr_proc),
    i_0_4 ).

cnf(c_0_141,negated_conjecture,
    ( leq(s(zero),esk11_6(esk6_0,esk7_0,esk5_0,X1,X2,X3))
    | leq(host(X3),host(X1))
    | index(ldr,host(X1)) != host(X1)
    | index(status,host(X1)) != norm
    | index(status,host(X3)) != elec_1
    | ~ elem(m_Down(X2),queue(host(X3)))
    | ~ setIn(X1,alive) ),
    inference(spm,[status(thm)],[c_0_136,c_0_137]) ).

cnf(c_0_142,negated_conjecture,
    setIn(esk10_0,alive),
    i_0_101 ).

cnf(c_0_143,negated_conjecture,
    index(ldr,host(esk10_0)) = host(esk10_0),
    i_0_99 ).

cnf(c_0_144,negated_conjecture,
    index(status,host(esk10_0)) = norm,
    i_0_98 ).

cnf(c_0_145,negated_conjecture,
    host(esk6_0) = host(esk9_0),
    i_0_100 ).

cnf(c_0_146,negated_conjecture,
    host(esk6_0) = nbr_proc,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_140])]) ).

cnf(c_0_147,negated_conjecture,
    index(status,host(esk6_0)) = elec_1,
    i_0_107 ).

cnf(c_0_148,plain,
    ( elem(X1,cons(X2,X3))
    | X1 != X2 ),
    i_0_52 ).

cnf(c_0_149,plain,
    ( queue(host(X1)) = cons(m_Down(X2),X3)
    | ~ epred1_3(X3,X2,X1) ),
    i_0_114 ).

cnf(c_0_150,plain,
    ( leq(host(X1),host(X2))
    | index(status,host(X2)) != norm
    | index(status,host(X1)) != elec_1
    | index(ldr,host(X2)) != host(X2)
    | ~ setIn(X2,alive)
    | ~ epred1_3(X3,X4,X5)
    | ~ elem(m_Down(X6),queue(host(X1)))
    | ~ leq(host(X1),esk11_6(X5,X4,X3,X2,X6,X1)) ),
    i_0_118 ).

cnf(c_0_151,plain,
    ( leq(host(X1),host(X2))
    | index(status,host(X1)) != elec_1
    | index(status,host(X2)) != norm
    | index(ldr,host(X2)) != host(X2)
    | ~ setIn(X2,alive)
    | ~ epred1_3(X3,X4,X5)
    | ~ elem(m_Down(X6),queue(host(X1)))
    | ~ setIn(esk11_6(X5,X4,X3,X2,X6,X1),index(down,host(X1))) ),
    i_0_116 ).

cnf(c_0_152,negated_conjecture,
    ( leq(s(zero),esk11_6(esk6_0,esk7_0,esk5_0,esk10_0,X1,X2))
    | leq(host(X2),host(esk10_0))
    | index(status,host(X2)) != elec_1
    | ~ elem(m_Down(X1),queue(host(X2))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_143]),c_0_144])]) ).

cnf(c_0_153,negated_conjecture,
    host(esk9_0) = nbr_proc,
    inference(rw,[status(thm)],[c_0_145,c_0_146]) ).

cnf(c_0_154,negated_conjecture,
    index(status,nbr_proc) = elec_1,
    inference(rw,[status(thm)],[c_0_147,c_0_146]) ).

cnf(c_0_155,plain,
    elem(X1,cons(X1,X2)),
    inference(er,[status(thm)],[c_0_148]) ).

cnf(c_0_156,negated_conjecture,
    cons(m_Down(esk7_0),esk5_0) = queue(nbr_proc),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_137]),c_0_146]) ).

cnf(c_0_157,negated_conjecture,
    ( leq(host(X1),host(X2))
    | index(ldr,host(X2)) != host(X2)
    | index(status,host(X2)) != norm
    | index(status,host(X1)) != elec_1
    | ~ elem(m_Down(X3),queue(host(X1)))
    | ~ leq(host(X1),esk11_6(esk6_0,esk7_0,esk5_0,X2,X3,X1))
    | ~ setIn(X2,alive) ),
    inference(spm,[status(thm)],[c_0_150,c_0_137]) ).

cnf(c_0_158,negated_conjecture,
    ( leq(host(X1),host(X2))
    | index(ldr,host(X2)) != host(X2)
    | index(status,host(X2)) != norm
    | index(status,host(X1)) != elec_1
    | ~ elem(m_Down(X3),queue(host(X1)))
    | ~ setIn(esk11_6(esk6_0,esk7_0,esk5_0,X2,X3,X1),index(down,host(X1)))
    | ~ setIn(X2,alive) ),
    inference(spm,[status(thm)],[c_0_151,c_0_137]) ).

cnf(c_0_159,negated_conjecture,
    ( X1 = host(esk7_0)
    | leq(host(esk6_0),X1)
    | setIn(X1,index(down,host(esk6_0)))
    | ~ leq(s(zero),X1) ),
    i_0_108 ).

cnf(c_0_160,negated_conjecture,
    ( leq(s(zero),esk11_6(esk6_0,esk7_0,esk5_0,esk10_0,X1,esk9_0))
    | leq(nbr_proc,host(esk10_0))
    | ~ elem(m_Down(X1),queue(nbr_proc)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_154])]) ).

cnf(c_0_161,plain,
    elem(m_Down(esk7_0),queue(nbr_proc)),
    inference(spm,[status(thm)],[c_0_155,c_0_156]) ).

cnf(c_0_162,negated_conjecture,
    ( leq(host(X1),host(esk10_0))
    | index(status,host(X1)) != elec_1
    | ~ elem(m_Down(X2),queue(host(X1)))
    | ~ leq(host(X1),esk11_6(esk6_0,esk7_0,esk5_0,esk10_0,X2,X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_142]),c_0_143]),c_0_144])]) ).

cnf(c_0_163,negated_conjecture,
    ( leq(host(X1),host(esk10_0))
    | index(status,host(X1)) != elec_1
    | ~ elem(m_Down(X2),queue(host(X1)))
    | ~ setIn(esk11_6(esk6_0,esk7_0,esk5_0,esk10_0,X2,X1),index(down,host(X1))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_142]),c_0_143]),c_0_144])]) ).

cnf(c_0_164,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_159,c_0_146]),c_0_146]) ).

cnf(c_0_165,plain,
    ( leq(s(zero),esk11_6(esk6_0,esk7_0,esk5_0,esk10_0,esk7_0,esk9_0))
    | leq(nbr_proc,host(esk10_0)) ),
    inference(spm,[status(thm)],[c_0_160,c_0_161]) ).

cnf(c_0_166,negated_conjecture,
    ( leq(nbr_proc,host(esk10_0))
    | ~ elem(m_Down(X1),queue(nbr_proc))
    | ~ leq(nbr_proc,esk11_6(esk6_0,esk7_0,esk5_0,esk10_0,X1,esk9_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_153]),c_0_154])]) ).

cnf(c_0_167,negated_conjecture,
    ( leq(nbr_proc,host(esk10_0))
    | ~ elem(m_Down(X1),queue(nbr_proc))
    | ~ setIn(esk11_6(esk6_0,esk7_0,esk5_0,esk10_0,X1,esk9_0),index(down,nbr_proc)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_153]),c_0_154])]) ).

cnf(c_0_168,negated_conjecture,
    ( esk11_6(esk6_0,esk7_0,esk5_0,esk10_0,esk7_0,esk9_0) = host(esk7_0)
    | leq(nbr_proc,esk11_6(esk6_0,esk7_0,esk5_0,esk10_0,esk7_0,esk9_0))
    | leq(nbr_proc,host(esk10_0))
    | setIn(esk11_6(esk6_0,esk7_0,esk5_0,esk10_0,esk7_0,esk9_0),index(down,nbr_proc)) ),
    inference(spm,[status(thm)],[c_0_164,c_0_165]) ).

cnf(c_0_169,plain,
    ( leq(nbr_proc,host(esk10_0))
    | ~ leq(nbr_proc,esk11_6(esk6_0,esk7_0,esk5_0,esk10_0,esk7_0,esk9_0)) ),
    inference(spm,[status(thm)],[c_0_166,c_0_161]) ).

cnf(c_0_170,negated_conjecture,
    ( esk11_6(esk6_0,esk7_0,esk5_0,esk10_0,esk7_0,esk9_0) = host(esk7_0)
    | leq(nbr_proc,esk11_6(esk6_0,esk7_0,esk5_0,esk10_0,esk7_0,esk9_0))
    | leq(nbr_proc,host(esk10_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_161])]) ).

cnf(c_0_171,plain,
    ( leq(host(X1),host(X2))
    | index(status,host(X1)) != elec_1
    | index(status,host(X2)) != norm
    | index(ldr,host(X2)) != host(X2)
    | esk11_6(X3,X4,X5,X2,X6,X1) != host(X6)
    | ~ setIn(X2,alive)
    | ~ epred1_3(X5,X4,X3)
    | ~ elem(m_Down(X6),queue(host(X1))) ),
    i_0_115 ).

cnf(c_0_172,plain,
    ( esk11_6(esk6_0,esk7_0,esk5_0,esk10_0,esk7_0,esk9_0) = host(esk7_0)
    | leq(nbr_proc,host(esk10_0)) ),
    inference(spm,[status(thm)],[c_0_169,c_0_170]) ).

cnf(c_0_173,negated_conjecture,
    host(esk10_0) != host(esk6_0),
    i_0_103 ).

cnf(c_0_174,plain,
    leq(nbr_proc,host(esk10_0)),
    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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_145]),c_0_146]),c_0_143]),c_0_144]),c_0_145]),c_0_146]),c_0_154]),c_0_145]),c_0_146]),c_0_161]),c_0_137]),c_0_142])]) ).

cnf(c_0_175,negated_conjecture,
    host(esk10_0) != nbr_proc,
    inference(rw,[status(thm)],[c_0_173,c_0_146]) ).

cnf(c_0_176,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_174]),c_0_140])]),c_0_175]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWV448+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n013.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Thu Jun 16 01:53:01 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected SinE mode:
% 0.19/0.46  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.46  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.46  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 14.82/3.27  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 14.82/3.27  # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 84; version: 991; iters: 150)
% 14.82/3.27  # Preprocessing time       : 0.849 s
% 14.82/3.27  # Presaturation interreduction done
% 14.82/3.27  
% 14.82/3.27  # Proof found!
% 14.82/3.27  # SZS status Theorem
% 14.82/3.27  # SZS output start CNFRefutation
% See solution above
% 14.82/3.27  # Training examples: 0 positive, 0 negative
% 14.82/3.27  
% 14.82/3.27  # -------------------------------------------------
% 14.82/3.27  # User time                : 0.789 s
% 14.82/3.27  # System time              : 0.113 s
% 14.82/3.27  # Total time               : 0.903 s
% 14.82/3.27  # ...preprocessing         : 0.849 s
% 14.82/3.27  # ...main loop             : 0.054 s
% 14.82/3.27  # Maximum resident set size: 167384 pages
% 14.82/3.27  
%------------------------------------------------------------------------------