TSTP Solution File: SWV456+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWV456+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 17:47:30 EDT 2022

% Result   : Theorem 17.29s 3.60s
% Output   : CNFRefutation 17.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   50 (  26 unt;   3 nHn;  48 RR)
%            Number of literals    :  114 (  47 equ;  68 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    :   15 (  15 usr;  10 con; 0-2 aty)
%            Number of variables   :   71 (  32 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_100,negated_conjecture,
    host(esk10_0) = host(esk9_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nu_wo455/input.p',i_0_100) ).

cnf(i_0_108,negated_conjecture,
    host(esk9_0) = host(esk7_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nu_wo455/input.p',i_0_108) ).

cnf(i_0_97,negated_conjecture,
    setIn(host(esk10_0),index(down,host(esk11_0))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nu_wo455/input.p',i_0_97) ).

cnf(i_0_123,plain,
    ( X1 = X2
    | host(X1) != host(X2)
    | ~ setIn(X2,alive)
    | ~ setIn(X1,alive)
    | ~ epred1_3(X3,X4,X5) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nu_wo455/input.p',i_0_123) ).

cnf(i_0_119,negated_conjecture,
    epred1_3(esk5_0,esk8_0,esk7_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nu_wo455/input.p',i_0_119) ).

cnf(i_0_124,plain,
    ( setIn(X1,alive)
    | host(X1) != host(X2)
    | ~ leq(X2,X1)
    | ~ setIn(X2,alive)
    | ~ epred1_3(X3,X4,X5) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nu_wo455/input.p',i_0_124) ).

cnf(i_0_121,plain,
    ( host(X1) = host(X2)
    | host(X2) != host(X3)
    | host(X1) != host(X4)
    | ~ setIn(X2,alive)
    | ~ setIn(X1,alive)
    | ~ epred1_3(X5,X6,X7)
    | ~ elem(m_Down(X4),queue(host(X2)))
    | ~ setIn(host(X3),index(down,host(X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nu_wo455/input.p',i_0_121) ).

cnf(i_0_120,plain,
    ( queue(host(X1)) = cons(m_Down(X2),X3)
    | ~ epred1_3(X3,X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nu_wo455/input.p',i_0_120) ).

cnf(i_0_107,negated_conjecture,
    host(esk11_0) != host(esk6_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nu_wo455/input.p',i_0_107) ).

cnf(i_0_110,negated_conjecture,
    host(esk6_0) = host(esk7_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nu_wo455/input.p',i_0_110) ).

cnf(i_0_118,negated_conjecture,
    setIn(esk7_0,alive),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nu_wo455/input.p',i_0_118) ).

cnf(i_0_51,plain,
    ( elem(X1,cons(X2,X3))
    | ~ elem(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nu_wo455/input.p',i_0_51) ).

cnf(i_0_112,negated_conjecture,
    ( leq(X1,esk6_0)
    | host(esk7_0) != host(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nu_wo455/input.p',i_0_112) ).

cnf(i_0_98,negated_conjecture,
    elem(m_Down(esk12_0),esk5_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nu_wo455/input.p',i_0_98) ).

cnf(i_0_99,negated_conjecture,
    host(esk11_0) = host(esk12_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nu_wo455/input.p',i_0_99) ).

cnf(i_0_102,negated_conjecture,
    ( esk11_0 = esk6_0
    | setIn(esk11_0,alive) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nu_wo455/input.p',i_0_102) ).

cnf(c_0_141,negated_conjecture,
    host(esk10_0) = host(esk9_0),
    i_0_100 ).

cnf(c_0_142,negated_conjecture,
    host(esk9_0) = host(esk7_0),
    i_0_108 ).

cnf(c_0_143,negated_conjecture,
    setIn(host(esk10_0),index(down,host(esk11_0))),
    i_0_97 ).

cnf(c_0_144,negated_conjecture,
    host(esk10_0) = host(esk7_0),
    inference(rw,[status(thm)],[c_0_141,c_0_142]) ).

cnf(c_0_145,plain,
    ( X1 = X2
    | host(X1) != host(X2)
    | ~ setIn(X2,alive)
    | ~ setIn(X1,alive)
    | ~ epred1_3(X3,X4,X5) ),
    i_0_123 ).

cnf(c_0_146,negated_conjecture,
    epred1_3(esk5_0,esk8_0,esk7_0),
    i_0_119 ).

cnf(c_0_147,plain,
    ( setIn(X1,alive)
    | host(X1) != host(X2)
    | ~ leq(X2,X1)
    | ~ setIn(X2,alive)
    | ~ epred1_3(X3,X4,X5) ),
    i_0_124 ).

cnf(c_0_148,plain,
    ( host(X1) = host(X2)
    | host(X2) != host(X3)
    | host(X1) != host(X4)
    | ~ setIn(X2,alive)
    | ~ setIn(X1,alive)
    | ~ epred1_3(X5,X6,X7)
    | ~ elem(m_Down(X4),queue(host(X2)))
    | ~ setIn(host(X3),index(down,host(X1))) ),
    i_0_121 ).

cnf(c_0_149,negated_conjecture,
    setIn(host(esk7_0),index(down,host(esk11_0))),
    inference(rw,[status(thm)],[c_0_143,c_0_144]) ).

cnf(c_0_150,plain,
    ( queue(host(X1)) = cons(m_Down(X2),X3)
    | ~ epred1_3(X3,X2,X1) ),
    i_0_120 ).

cnf(c_0_151,negated_conjecture,
    host(esk11_0) != host(esk6_0),
    i_0_107 ).

cnf(c_0_152,negated_conjecture,
    host(esk6_0) = host(esk7_0),
    i_0_110 ).

cnf(c_0_153,negated_conjecture,
    ( X1 = X2
    | host(X1) != host(X2)
    | ~ setIn(X2,alive)
    | ~ setIn(X1,alive) ),
    inference(spm,[status(thm)],[c_0_145,c_0_146]) ).

cnf(c_0_154,negated_conjecture,
    setIn(esk7_0,alive),
    i_0_118 ).

cnf(c_0_155,negated_conjecture,
    ( setIn(X1,alive)
    | host(X1) != host(X2)
    | ~ leq(X2,X1)
    | ~ setIn(X2,alive) ),
    inference(spm,[status(thm)],[c_0_147,c_0_146]) ).

cnf(c_0_156,negated_conjecture,
    ( host(esk11_0) = host(X1)
    | host(X1) != host(esk7_0)
    | host(esk11_0) != host(X2)
    | ~ epred1_3(X3,X4,X5)
    | ~ elem(m_Down(X2),queue(host(X1)))
    | ~ setIn(esk11_0,alive)
    | ~ setIn(X1,alive) ),
    inference(spm,[status(thm)],[c_0_148,c_0_149]) ).

cnf(c_0_157,negated_conjecture,
    queue(host(esk7_0)) = cons(m_Down(esk8_0),esk5_0),
    inference(spm,[status(thm)],[c_0_150,c_0_146]) ).

cnf(c_0_158,negated_conjecture,
    host(esk11_0) != host(esk7_0),
    inference(rw,[status(thm)],[c_0_151,c_0_152]) ).

cnf(c_0_159,negated_conjecture,
    ( X1 = esk7_0
    | host(X1) != host(esk7_0)
    | ~ setIn(X1,alive) ),
    inference(spm,[status(thm)],[c_0_153,c_0_154]) ).

cnf(c_0_160,negated_conjecture,
    ( setIn(X1,alive)
    | host(X1) != host(esk7_0)
    | ~ leq(esk7_0,X1) ),
    inference(spm,[status(thm)],[c_0_155,c_0_154]) ).

cnf(c_0_161,negated_conjecture,
    ( host(esk11_0) != host(X1)
    | ~ epred1_3(X2,X3,X4)
    | ~ elem(m_Down(X1),cons(m_Down(esk8_0),esk5_0))
    | ~ setIn(esk11_0,alive) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_154])]),c_0_158]) ).

cnf(c_0_162,plain,
    ( elem(X1,cons(X2,X3))
    | ~ elem(X1,X3) ),
    i_0_51 ).

cnf(c_0_163,negated_conjecture,
    ( X1 = esk7_0
    | host(X1) != host(esk7_0)
    | ~ leq(esk7_0,X1) ),
    inference(spm,[status(thm)],[c_0_159,c_0_160]) ).

cnf(c_0_164,negated_conjecture,
    ( leq(X1,esk6_0)
    | host(esk7_0) != host(X1) ),
    i_0_112 ).

cnf(c_0_165,plain,
    ( host(esk11_0) != host(X1)
    | ~ epred1_3(X2,X3,X4)
    | ~ elem(m_Down(X1),esk5_0)
    | ~ setIn(esk11_0,alive) ),
    inference(spm,[status(thm)],[c_0_161,c_0_162]) ).

cnf(c_0_166,negated_conjecture,
    elem(m_Down(esk12_0),esk5_0),
    i_0_98 ).

cnf(c_0_167,negated_conjecture,
    host(esk11_0) = host(esk12_0),
    i_0_99 ).

cnf(c_0_168,negated_conjecture,
    ( esk11_0 = esk6_0
    | setIn(esk11_0,alive) ),
    i_0_102 ).

cnf(c_0_169,negated_conjecture,
    esk6_0 = esk7_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_152])]) ).

cnf(c_0_170,negated_conjecture,
    ( ~ epred1_3(X1,X2,X3)
    | ~ setIn(esk11_0,alive) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_167])]) ).

cnf(c_0_171,negated_conjecture,
    ( esk11_0 = esk7_0
    | setIn(esk11_0,alive) ),
    inference(rw,[status(thm)],[c_0_168,c_0_169]) ).

cnf(c_0_172,negated_conjecture,
    ~ setIn(esk11_0,alive),
    inference(spm,[status(thm)],[c_0_170,c_0_146]) ).

cnf(c_0_173,negated_conjecture,
    esk11_0 = esk7_0,
    inference(sr,[status(thm)],[c_0_171,c_0_172]) ).

cnf(c_0_174,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_172,c_0_173]),c_0_154])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV456+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n013.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Thu Jun 16 00:54:45 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected SinE mode:
% 0.19/0.45  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 17.29/3.60  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 17.29/3.60  # 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: 80; version: 991; iters: 150)
% 17.29/3.60  # Preprocessing time       : 1.129 s
% 17.29/3.60  
% 17.29/3.60  # Proof found!
% 17.29/3.60  # SZS status Theorem
% 17.29/3.60  # SZS output start CNFRefutation
% See solution above
% 17.29/3.60  # Training examples: 0 positive, 0 negative
% 17.29/3.60  
% 17.29/3.60  # -------------------------------------------------
% 17.29/3.60  # User time                : 1.014 s
% 17.29/3.60  # System time              : 0.134 s
% 17.29/3.60  # Total time               : 1.148 s
% 17.29/3.60  # ...preprocessing         : 1.129 s
% 17.29/3.60  # ...main loop             : 0.019 s
% 17.29/3.60  # Maximum resident set size: 176448 pages
% 17.29/3.60  
%------------------------------------------------------------------------------