TSTP Solution File: SWV468+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWV468+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 17:47:32 EDT 2022

% Result   : Theorem 13.73s 3.15s
% Output   : CNFRefutation 13.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   52 (  32 unt;   5 nHn;  44 RR)
%            Number of literals    :  113 (  36 equ;  61 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   18 (  18 usr;  12 con; 0-2 aty)
%            Number of variables   :   57 (  19 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_87,plain,
    ( X1 = X2
    | ~ leq(X2,X1)
    | ~ leq(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8m6uqb6q/input.p',i_0_87) ).

cnf(i_0_105,negated_conjecture,
    leq(nbr_proc,host(esk6_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8m6uqb6q/input.p',i_0_105) ).

cnf(i_0_4,plain,
    leq(host(X1),nbr_proc),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8m6uqb6q/input.p',i_0_4) ).

cnf(i_0_128,plain,
    ( leq(index(pendack,host(X1)),host(X2))
    | index(status,host(X1)) != elec_2
    | ~ setIn(X1,alive)
    | ~ setIn(X2,alive)
    | ~ epred1_3(X3,X4,X5)
    | ~ setIn(host(X1),index(down,host(X2))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8m6uqb6q/input.p',i_0_128) ).

cnf(i_0_112,negated_conjecture,
    epred1_3(esk5_0,esk7_0,esk6_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8m6uqb6q/input.p',i_0_112) ).

cnf(i_0_101,negated_conjecture,
    ~ leq(index(pendack,host(esk10_0)),host(esk9_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8m6uqb6q/input.p',i_0_101) ).

cnf(i_0_97,negated_conjecture,
    host(esk6_0) = host(esk9_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8m6uqb6q/input.p',i_0_97) ).

cnf(i_0_122,plain,
    ( leq(index(pendack,host(X1)),host(X2))
    | host(X1) != host(X3)
    | index(status,host(X1)) != elec_2
    | ~ setIn(X1,alive)
    | ~ setIn(X2,alive)
    | ~ epred1_3(X4,X5,X6)
    | ~ elem(m_Down(X3),queue(host(X2))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8m6uqb6q/input.p',i_0_122) ).

cnf(i_0_52,plain,
    ( elem(X1,cons(X2,X3))
    | X1 != X2 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8m6uqb6q/input.p',i_0_52) ).

cnf(i_0_113,plain,
    ( queue(host(X1)) = cons(m_Down(X2),X3)
    | ~ epred1_3(X3,X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8m6uqb6q/input.p',i_0_113) ).

cnf(i_0_98,negated_conjecture,
    setIn(esk9_0,alive),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8m6uqb6q/input.p',i_0_98) ).

cnf(i_0_107,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-8m6uqb6q/input.p',i_0_107) ).

cnf(i_0_100,negated_conjecture,
    setIn(esk10_0,alive),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8m6uqb6q/input.p',i_0_100) ).

cnf(i_0_99,negated_conjecture,
    index(status,host(esk10_0)) = elec_2,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8m6uqb6q/input.p',i_0_99) ).

cnf(i_0_2,plain,
    leq(s(zero),host(X1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8m6uqb6q/input.p',i_0_2) ).

cnf(i_0_102,negated_conjecture,
    host(esk10_0) != host(esk6_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8m6uqb6q/input.p',i_0_102) ).

cnf(c_0_145,plain,
    ( X1 = X2
    | ~ leq(X2,X1)
    | ~ leq(X1,X2) ),
    i_0_87 ).

cnf(c_0_146,negated_conjecture,
    leq(nbr_proc,host(esk6_0)),
    i_0_105 ).

cnf(c_0_147,plain,
    leq(host(X1),nbr_proc),
    i_0_4 ).

cnf(c_0_148,plain,
    ( leq(index(pendack,host(X1)),host(X2))
    | index(status,host(X1)) != elec_2
    | ~ setIn(X1,alive)
    | ~ setIn(X2,alive)
    | ~ epred1_3(X3,X4,X5)
    | ~ setIn(host(X1),index(down,host(X2))) ),
    i_0_128 ).

cnf(c_0_149,negated_conjecture,
    epred1_3(esk5_0,esk7_0,esk6_0),
    i_0_112 ).

cnf(c_0_150,negated_conjecture,
    ~ leq(index(pendack,host(esk10_0)),host(esk9_0)),
    i_0_101 ).

cnf(c_0_151,negated_conjecture,
    host(esk6_0) = host(esk9_0),
    i_0_97 ).

cnf(c_0_152,plain,
    ( leq(index(pendack,host(X1)),host(X2))
    | host(X1) != host(X3)
    | index(status,host(X1)) != elec_2
    | ~ setIn(X1,alive)
    | ~ setIn(X2,alive)
    | ~ epred1_3(X4,X5,X6)
    | ~ elem(m_Down(X3),queue(host(X2))) ),
    i_0_122 ).

cnf(c_0_153,negated_conjecture,
    host(esk6_0) = nbr_proc,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_147])]) ).

cnf(c_0_154,plain,
    ( elem(X1,cons(X2,X3))
    | X1 != X2 ),
    i_0_52 ).

cnf(c_0_155,plain,
    ( queue(host(X1)) = cons(m_Down(X2),X3)
    | ~ epred1_3(X3,X2,X1) ),
    i_0_113 ).

cnf(c_0_156,negated_conjecture,
    ( leq(index(pendack,host(X1)),host(X2))
    | index(status,host(X1)) != elec_2
    | ~ setIn(host(X1),index(down,host(X2)))
    | ~ setIn(X2,alive)
    | ~ setIn(X1,alive) ),
    inference(spm,[status(thm)],[c_0_148,c_0_149]) ).

cnf(c_0_157,negated_conjecture,
    setIn(esk9_0,alive),
    i_0_98 ).

cnf(c_0_158,negated_conjecture,
    ~ leq(index(pendack,host(esk10_0)),host(esk6_0)),
    inference(rw,[status(thm)],[c_0_150,c_0_151]) ).

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_107 ).

cnf(c_0_160,negated_conjecture,
    ( leq(index(pendack,host(X1)),host(X2))
    | index(status,host(X1)) != elec_2
    | host(X1) != host(X3)
    | ~ elem(m_Down(X3),queue(host(X2)))
    | ~ setIn(X2,alive)
    | ~ setIn(X1,alive) ),
    inference(spm,[status(thm)],[c_0_152,c_0_149]) ).

cnf(c_0_161,negated_conjecture,
    host(esk9_0) = nbr_proc,
    inference(rw,[status(thm)],[c_0_151,c_0_153]) ).

cnf(c_0_162,plain,
    elem(X1,cons(X1,X2)),
    inference(er,[status(thm)],[c_0_154]) ).

cnf(c_0_163,negated_conjecture,
    cons(m_Down(esk7_0),esk5_0) = queue(nbr_proc),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_149]),c_0_153]) ).

cnf(c_0_164,negated_conjecture,
    ( leq(index(pendack,host(X1)),nbr_proc)
    | index(status,host(X1)) != elec_2
    | ~ setIn(host(X1),index(down,nbr_proc))
    | ~ setIn(X1,alive) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_151]),c_0_153]),c_0_151]),c_0_153]) ).

cnf(c_0_165,negated_conjecture,
    setIn(esk10_0,alive),
    i_0_100 ).

cnf(c_0_166,negated_conjecture,
    index(status,host(esk10_0)) = elec_2,
    i_0_99 ).

cnf(c_0_167,negated_conjecture,
    ~ leq(index(pendack,host(esk10_0)),nbr_proc),
    inference(rw,[status(thm)],[c_0_158,c_0_153]) ).

cnf(c_0_168,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_153]),c_0_153]) ).

cnf(c_0_169,plain,
    leq(s(zero),host(X1)),
    i_0_2 ).

cnf(c_0_170,negated_conjecture,
    ( leq(index(pendack,host(X1)),nbr_proc)
    | index(status,host(X1)) != elec_2
    | host(X1) != host(X2)
    | ~ elem(m_Down(X2),queue(nbr_proc))
    | ~ setIn(X1,alive) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_161]),c_0_157])]) ).

cnf(c_0_171,plain,
    elem(m_Down(esk7_0),queue(nbr_proc)),
    inference(spm,[status(thm)],[c_0_162,c_0_163]) ).

cnf(c_0_172,negated_conjecture,
    ~ setIn(host(esk10_0),index(down,nbr_proc)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_166])]),c_0_167]) ).

cnf(c_0_173,plain,
    ( host(X1) = host(esk7_0)
    | leq(nbr_proc,host(X1))
    | setIn(host(X1),index(down,nbr_proc)) ),
    inference(spm,[status(thm)],[c_0_168,c_0_169]) ).

cnf(c_0_174,plain,
    ( leq(index(pendack,host(X1)),nbr_proc)
    | index(status,host(X1)) != elec_2
    | host(X1) != host(esk7_0)
    | ~ setIn(X1,alive) ),
    inference(spm,[status(thm)],[c_0_170,c_0_171]) ).

cnf(c_0_175,negated_conjecture,
    ( host(esk10_0) = host(esk7_0)
    | leq(nbr_proc,host(esk10_0)) ),
    inference(spm,[status(thm)],[c_0_172,c_0_173]) ).

cnf(c_0_176,negated_conjecture,
    host(esk10_0) != host(esk7_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_165]),c_0_166])]),c_0_167]) ).

cnf(c_0_177,negated_conjecture,
    host(esk10_0) != host(esk6_0),
    i_0_102 ).

cnf(c_0_178,negated_conjecture,
    leq(nbr_proc,host(esk10_0)),
    inference(sr,[status(thm)],[c_0_175,c_0_176]) ).

cnf(c_0_179,negated_conjecture,
    host(esk10_0) != nbr_proc,
    inference(rw,[status(thm)],[c_0_177,c_0_153]) ).

cnf(c_0_180,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_178]),c_0_147])]),c_0_179]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SWV468+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12  % 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 16:20:25 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected SinE mode:
% 0.18/0.45  # Parsing /export/starexec/sandbox2/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
% 13.73/3.15  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 13.73/3.15  # 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)
% 13.73/3.15  # Preprocessing time       : 0.848 s
% 13.73/3.15  # Presaturation interreduction done
% 13.73/3.15  
% 13.73/3.15  # Proof found!
% 13.73/3.15  # SZS status Theorem
% 13.73/3.15  # SZS output start CNFRefutation
% See solution above
% 13.73/3.15  # Training examples: 0 positive, 0 negative
% 13.73/3.15  
% 13.73/3.15  # -------------------------------------------------
% 13.73/3.15  # User time                : 0.754 s
% 13.73/3.15  # System time              : 0.115 s
% 13.73/3.15  # Total time               : 0.869 s
% 13.73/3.15  # ...preprocessing         : 0.848 s
% 13.73/3.15  # ...main loop             : 0.021 s
% 13.73/3.15  # Maximum resident set size: 168288 pages
% 13.73/3.15  
%------------------------------------------------------------------------------