TSTP Solution File: SWV453+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWV453+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n014.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 17:47:29 EDT 2022

% Result   : Theorem 8.51s 2.48s
% Output   : CNFRefutation 8.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   19
% Syntax   : Number of clauses     :   55 (  25 unt;   5 nHn;  53 RR)
%            Number of literals    :  123 (  57 equ;  67 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    :   13 (  13 usr;   9 con; 0-2 aty)
%            Number of variables   :   63 (  20 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_121,plain,
    ( X1 = X2
    | host(X1) != host(X2)
    | ~ setIn(X2,alive)
    | ~ setIn(X1,alive)
    | ~ epred1_3(X3,X4,X5) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a_dn5fu_/lgb.p',i_0_121) ).

cnf(i_0_118,negated_conjecture,
    epred1_3(esk5_0,esk8_0,esk7_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a_dn5fu_/lgb.p',i_0_118) ).

cnf(i_0_117,negated_conjecture,
    setIn(esk7_0,alive),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a_dn5fu_/lgb.p',i_0_117) ).

cnf(i_0_102,negated_conjecture,
    ( esk11_0 = esk6_0
    | setIn(esk11_0,alive) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a_dn5fu_/lgb.p',i_0_102) ).

cnf(i_0_106,negated_conjecture,
    host(esk11_0) = host(esk7_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a_dn5fu_/lgb.p',i_0_106) ).

cnf(i_0_103,negated_conjecture,
    ( esk11_0 = esk6_0
    | esk11_0 != esk7_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a_dn5fu_/lgb.p',i_0_103) ).

cnf(i_0_122,plain,
    ( setIn(X1,alive)
    | host(X1) != host(X2)
    | ~ leq(X2,X1)
    | ~ setIn(X2,alive)
    | ~ epred1_3(X3,X4,X5) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a_dn5fu_/lgb.p',i_0_122) ).

cnf(i_0_111,negated_conjecture,
    ( leq(X1,esk6_0)
    | host(esk7_0) != host(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a_dn5fu_/lgb.p',i_0_111) ).

cnf(i_0_104,negated_conjecture,
    ( esk9_0 = esk6_0
    | setIn(esk9_0,alive) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a_dn5fu_/lgb.p',i_0_104) ).

cnf(i_0_109,negated_conjecture,
    host(esk6_0) = host(esk7_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a_dn5fu_/lgb.p',i_0_109) ).

cnf(i_0_105,negated_conjecture,
    ( esk9_0 = esk6_0
    | esk9_0 != esk7_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a_dn5fu_/lgb.p',i_0_105) ).

cnf(i_0_107,negated_conjecture,
    host(esk9_0) != host(esk7_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a_dn5fu_/lgb.p',i_0_107) ).

cnf(i_0_120,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)))
    | ~ elem(m_Down(X3),queue(host(X1))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a_dn5fu_/lgb.p',i_0_120) ).

cnf(i_0_119,plain,
    ( queue(host(X1)) = cons(m_Down(X2),X3)
    | ~ epred1_3(X3,X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a_dn5fu_/lgb.p',i_0_119) ).

cnf(i_0_97,negated_conjecture,
    elem(m_Down(esk12_0),queue(host(esk9_0))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a_dn5fu_/lgb.p',i_0_97) ).

cnf(i_0_99,negated_conjecture,
    host(esk12_0) = host(esk11_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a_dn5fu_/lgb.p',i_0_99) ).

cnf(i_0_51,plain,
    ( elem(X1,cons(X2,X3))
    | ~ elem(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a_dn5fu_/lgb.p',i_0_51) ).

cnf(i_0_98,negated_conjecture,
    elem(m_Down(esk10_0),esk5_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a_dn5fu_/lgb.p',i_0_98) ).

cnf(i_0_100,negated_conjecture,
    host(esk9_0) = host(esk10_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a_dn5fu_/lgb.p',i_0_100) ).

cnf(c_0_142,plain,
    ( X1 = X2
    | host(X1) != host(X2)
    | ~ setIn(X2,alive)
    | ~ setIn(X1,alive)
    | ~ epred1_3(X3,X4,X5) ),
    i_0_121 ).

cnf(c_0_143,negated_conjecture,
    epred1_3(esk5_0,esk8_0,esk7_0),
    i_0_118 ).

cnf(c_0_144,negated_conjecture,
    ( X1 = X2
    | host(X1) != host(X2)
    | ~ setIn(X2,alive)
    | ~ setIn(X1,alive) ),
    inference(spm,[status(thm)],[c_0_142,c_0_143]) ).

cnf(c_0_145,negated_conjecture,
    setIn(esk7_0,alive),
    i_0_117 ).

cnf(c_0_146,negated_conjecture,
    ( X1 = esk7_0
    | host(X1) != host(esk7_0)
    | ~ setIn(X1,alive) ),
    inference(spm,[status(thm)],[c_0_144,c_0_145]) ).

cnf(c_0_147,negated_conjecture,
    ( esk11_0 = esk6_0
    | setIn(esk11_0,alive) ),
    i_0_102 ).

cnf(c_0_148,negated_conjecture,
    host(esk11_0) = host(esk7_0),
    i_0_106 ).

cnf(c_0_149,negated_conjecture,
    ( esk11_0 = esk6_0
    | esk11_0 != esk7_0 ),
    i_0_103 ).

cnf(c_0_150,plain,
    ( setIn(X1,alive)
    | host(X1) != host(X2)
    | ~ leq(X2,X1)
    | ~ setIn(X2,alive)
    | ~ epred1_3(X3,X4,X5) ),
    i_0_122 ).

cnf(c_0_151,negated_conjecture,
    ( leq(X1,esk6_0)
    | host(esk7_0) != host(X1) ),
    i_0_111 ).

cnf(c_0_152,negated_conjecture,
    esk6_0 = esk11_0,
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_148])]),c_0_149]) ).

cnf(c_0_153,negated_conjecture,
    ( setIn(X1,alive)
    | host(X1) != host(X2)
    | ~ leq(X2,X1)
    | ~ setIn(X2,alive) ),
    inference(spm,[status(thm)],[c_0_150,c_0_143]) ).

cnf(c_0_154,negated_conjecture,
    ( leq(X1,esk11_0)
    | host(esk7_0) != host(X1) ),
    inference(rw,[status(thm)],[c_0_151,c_0_152]) ).

cnf(c_0_155,negated_conjecture,
    ( setIn(esk11_0,alive)
    | host(esk7_0) != host(X1)
    | ~ setIn(X1,alive) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_148])]) ).

cnf(c_0_156,negated_conjecture,
    ( esk9_0 = esk6_0
    | setIn(esk9_0,alive) ),
    i_0_104 ).

cnf(c_0_157,negated_conjecture,
    setIn(esk11_0,alive),
    inference(spm,[status(thm)],[c_0_155,c_0_145]) ).

cnf(c_0_158,negated_conjecture,
    host(esk6_0) = host(esk7_0),
    i_0_109 ).

cnf(c_0_159,negated_conjecture,
    ( esk9_0 = esk6_0
    | esk9_0 != esk7_0 ),
    i_0_105 ).

cnf(c_0_160,negated_conjecture,
    host(esk9_0) != host(esk7_0),
    i_0_107 ).

cnf(c_0_161,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)))
    | ~ elem(m_Down(X3),queue(host(X1))) ),
    i_0_120 ).

cnf(c_0_162,negated_conjecture,
    ( esk11_0 = esk9_0
    | setIn(esk9_0,alive) ),
    inference(rw,[status(thm)],[c_0_156,c_0_152]) ).

cnf(c_0_163,negated_conjecture,
    esk11_0 = esk7_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_157]),c_0_148])]) ).

cnf(c_0_164,negated_conjecture,
    esk9_0 != esk7_0,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_160]) ).

cnf(c_0_165,plain,
    ( queue(host(X1)) = cons(m_Down(X2),X3)
    | ~ epred1_3(X3,X2,X1) ),
    i_0_119 ).

cnf(c_0_166,negated_conjecture,
    ( host(X1) = host(X2)
    | host(X2) != host(X3)
    | host(X1) != host(X4)
    | ~ setIn(X2,alive)
    | ~ setIn(X1,alive)
    | ~ elem(m_Down(X4),queue(host(X2)))
    | ~ elem(m_Down(X3),queue(host(X1))) ),
    inference(spm,[status(thm)],[c_0_161,c_0_143]) ).

cnf(c_0_167,negated_conjecture,
    elem(m_Down(esk12_0),queue(host(esk9_0))),
    i_0_97 ).

cnf(c_0_168,negated_conjecture,
    host(esk12_0) = host(esk11_0),
    i_0_99 ).

cnf(c_0_169,negated_conjecture,
    setIn(esk9_0,alive),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_162,c_0_163]),c_0_164]) ).

cnf(c_0_170,plain,
    ( elem(X1,cons(X2,X3))
    | ~ elem(X1,X3) ),
    i_0_51 ).

cnf(c_0_171,negated_conjecture,
    cons(m_Down(esk8_0),esk5_0) = queue(host(esk7_0)),
    inference(spm,[status(thm)],[c_0_165,c_0_143]) ).

cnf(c_0_172,negated_conjecture,
    ( host(X1) = host(esk9_0)
    | host(esk9_0) != host(X2)
    | host(X1) != host(esk7_0)
    | ~ setIn(X1,alive)
    | ~ elem(m_Down(X2),queue(host(X1))) ),
    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_168]),c_0_163]),c_0_169])]) ).

cnf(c_0_173,plain,
    ( elem(X1,queue(host(esk7_0)))
    | ~ elem(X1,esk5_0) ),
    inference(spm,[status(thm)],[c_0_170,c_0_171]) ).

cnf(c_0_174,plain,
    ( host(esk9_0) != host(X1)
    | ~ elem(m_Down(X1),esk5_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_145])]),c_0_160]) ).

cnf(c_0_175,negated_conjecture,
    elem(m_Down(esk10_0),esk5_0),
    i_0_98 ).

cnf(c_0_176,negated_conjecture,
    host(esk9_0) = host(esk10_0),
    i_0_100 ).

cnf(c_0_177,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_176])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SWV453+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n014.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Thu Jun 16 05:48:07 EDT 2022
% 0.13/0.34  % 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
% 8.51/2.48  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.51/2.48  # No SInE strategy applied
% 8.51/2.48  # Trying AutoSched0 for 150 seconds
% 8.51/2.48  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI
% 8.51/2.48  # and selection function SelectComplexExceptUniqMaxHorn.
% 8.51/2.48  #
% 8.51/2.48  # Preprocessing time       : 0.025 s
% 8.51/2.48  # Presaturation interreduction done
% 8.51/2.48  
% 8.51/2.48  # Proof found!
% 8.51/2.48  # SZS status Theorem
% 8.51/2.48  # SZS output start CNFRefutation
% See solution above
% 8.51/2.48  # Training examples: 0 positive, 0 negative
% 8.51/2.48  
% 8.51/2.48  # -------------------------------------------------
% 8.51/2.48  # User time                : 0.030 s
% 8.51/2.48  # System time              : 0.006 s
% 8.51/2.48  # Total time               : 0.036 s
% 8.51/2.48  # Maximum resident set size: 7124 pages
% 8.51/2.48  
%------------------------------------------------------------------------------