TSTP Solution File: SWV459+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWV459+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n029.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 17:47:31 EDT 2022

% Result   : Theorem 16.05s 3.51s
% Output   : CNFRefutation 16.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   18
% Syntax   : Number of clauses     :   50 (  22 unt;  13 nHn;  42 RR)
%            Number of literals    :  163 (  64 equ;  98 neg)
%            Maximal clause size   :   10 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   18 (  18 usr;  11 con; 0-6 aty)
%            Number of variables   :  105 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_109,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-qon6i8sl/input.p',i_0_109) ).

cnf(i_0_118,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-qon6i8sl/input.p',i_0_118) ).

cnf(i_0_52,plain,
    ( elem(X1,cons(X2,X3))
    | X1 != X2 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qon6i8sl/input.p',i_0_52) ).

cnf(i_0_115,plain,
    ( queue(host(X1)) = cons(m_Down(X2),X3)
    | ~ epred1_3(X3,X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qon6i8sl/input.p',i_0_115) ).

cnf(i_0_114,negated_conjecture,
    epred1_3(esk5_0,esk7_0,esk6_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qon6i8sl/input.p',i_0_114) ).

cnf(i_0_117,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-qon6i8sl/input.p',i_0_117) ).

cnf(i_0_108,negated_conjecture,
    index(status,host(esk6_0)) = elec_1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qon6i8sl/input.p',i_0_108) ).

cnf(i_0_119,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-qon6i8sl/input.p',i_0_119) ).

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)
    | 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-qon6i8sl/input.p',i_0_116) ).

cnf(i_0_93,plain,
    ( X1 = s(X2)
    | leq(X1,X2)
    | ~ leq(X1,s(X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qon6i8sl/input.p',i_0_93) ).

cnf(i_0_84,plain,
    ( leq(X1,X2)
    | leq(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qon6i8sl/input.p',i_0_84) ).

cnf(i_0_102,negated_conjecture,
    ~ leq(s(host(esk6_0)),host(esk8_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qon6i8sl/input.p',i_0_102) ).

cnf(i_0_99,negated_conjecture,
    setIn(esk8_0,alive),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qon6i8sl/input.p',i_0_99) ).

cnf(i_0_98,negated_conjecture,
    index(ldr,host(esk8_0)) = host(esk8_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qon6i8sl/input.p',i_0_98) ).

cnf(i_0_97,negated_conjecture,
    index(status,host(esk8_0)) = norm,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qon6i8sl/input.p',i_0_97) ).

cnf(i_0_83,plain,
    leq(X1,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qon6i8sl/input.p',i_0_83) ).

cnf(i_0_87,plain,
    ( X1 = X2
    | ~ leq(X2,X1)
    | ~ leq(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qon6i8sl/input.p',i_0_87) ).

cnf(i_0_106,negated_conjecture,
    host(esk8_0) != host(esk6_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qon6i8sl/input.p',i_0_106) ).

cnf(c_0_138,negated_conjecture,
    ( X1 = host(esk7_0)
    | leq(host(esk6_0),X1)
    | setIn(X1,index(down,host(esk6_0)))
    | ~ leq(s(zero),X1) ),
    i_0_109 ).

cnf(c_0_139,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_118 ).

cnf(c_0_140,plain,
    ( elem(X1,cons(X2,X3))
    | X1 != X2 ),
    i_0_52 ).

cnf(c_0_141,plain,
    ( queue(host(X1)) = cons(m_Down(X2),X3)
    | ~ epred1_3(X3,X2,X1) ),
    i_0_115 ).

cnf(c_0_142,negated_conjecture,
    epred1_3(esk5_0,esk7_0,esk6_0),
    i_0_114 ).

cnf(c_0_143,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_117 ).

cnf(c_0_144,negated_conjecture,
    ( esk11_6(X1,X2,X3,X4,X5,X6) = host(esk7_0)
    | leq(host(esk6_0),esk11_6(X1,X2,X3,X4,X5,X6))
    | leq(host(X6),host(X4))
    | setIn(esk11_6(X1,X2,X3,X4,X5,X6),index(down,host(esk6_0)))
    | index(ldr,host(X4)) != host(X4)
    | index(status,host(X4)) != norm
    | index(status,host(X6)) != elec_1
    | ~ epred1_3(X3,X2,X1)
    | ~ elem(m_Down(X5),queue(host(X6)))
    | ~ setIn(X4,alive) ),
    inference(spm,[status(thm)],[c_0_138,c_0_139]) ).

cnf(c_0_145,negated_conjecture,
    index(status,host(esk6_0)) = elec_1,
    i_0_108 ).

cnf(c_0_146,plain,
    elem(X1,cons(X1,X2)),
    inference(er,[status(thm)],[c_0_140]) ).

cnf(c_0_147,negated_conjecture,
    cons(m_Down(esk7_0),esk5_0) = queue(host(esk6_0)),
    inference(spm,[status(thm)],[c_0_141,c_0_142]) ).

cnf(c_0_148,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_119 ).

cnf(c_0_149,plain,
    ( esk11_6(X1,X2,X3,X4,X5,esk6_0) = host(esk7_0)
    | leq(host(esk6_0),esk11_6(X1,X2,X3,X4,X5,esk6_0))
    | leq(host(esk6_0),host(X4))
    | index(ldr,host(X4)) != host(X4)
    | index(status,host(X4)) != norm
    | ~ epred1_3(X3,X2,X1)
    | ~ elem(m_Down(X5),queue(host(esk6_0)))
    | ~ setIn(X4,alive) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_145])]) ).

cnf(c_0_150,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_116 ).

cnf(c_0_151,negated_conjecture,
    elem(m_Down(esk7_0),queue(host(esk6_0))),
    inference(spm,[status(thm)],[c_0_146,c_0_147]) ).

cnf(c_0_152,plain,
    ( esk11_6(X1,X2,X3,X4,X5,esk6_0) = host(esk7_0)
    | leq(host(esk6_0),host(X4))
    | index(ldr,host(X4)) != host(X4)
    | index(status,host(X4)) != norm
    | ~ epred1_3(X3,X2,X1)
    | ~ elem(m_Down(X5),queue(host(esk6_0)))
    | ~ setIn(X4,alive) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_145])]) ).

cnf(c_0_153,plain,
    ( leq(host(esk6_0),host(X1))
    | esk11_6(X2,X3,X4,X1,esk7_0,esk6_0) != host(esk7_0)
    | index(ldr,host(X1)) != host(X1)
    | index(status,host(X1)) != norm
    | ~ epred1_3(X4,X3,X2)
    | ~ setIn(X1,alive) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_145])]) ).

cnf(c_0_154,plain,
    ( X1 = s(X2)
    | leq(X1,X2)
    | ~ leq(X1,s(X2)) ),
    i_0_93 ).

cnf(c_0_155,plain,
    ( leq(X1,X2)
    | leq(X2,X1) ),
    i_0_84 ).

cnf(c_0_156,negated_conjecture,
    ( leq(host(esk6_0),host(X1))
    | index(ldr,host(X1)) != host(X1)
    | index(status,host(X1)) != norm
    | ~ epred1_3(X2,X3,X4)
    | ~ setIn(X1,alive) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_151]),c_0_153]) ).

cnf(c_0_157,negated_conjecture,
    ~ leq(s(host(esk6_0)),host(esk8_0)),
    i_0_102 ).

cnf(c_0_158,plain,
    ( X1 = s(X2)
    | leq(s(X2),X1)
    | leq(X1,X2) ),
    inference(spm,[status(thm)],[c_0_154,c_0_155]) ).

cnf(c_0_159,negated_conjecture,
    ( leq(host(esk6_0),host(X1))
    | index(ldr,host(X1)) != host(X1)
    | index(status,host(X1)) != norm
    | ~ setIn(X1,alive) ),
    inference(spm,[status(thm)],[c_0_156,c_0_142]) ).

cnf(c_0_160,negated_conjecture,
    setIn(esk8_0,alive),
    i_0_99 ).

cnf(c_0_161,negated_conjecture,
    index(ldr,host(esk8_0)) = host(esk8_0),
    i_0_98 ).

cnf(c_0_162,negated_conjecture,
    index(status,host(esk8_0)) = norm,
    i_0_97 ).

cnf(c_0_163,plain,
    ( s(host(esk6_0)) = host(esk8_0)
    | leq(host(esk8_0),host(esk6_0)) ),
    inference(spm,[status(thm)],[c_0_157,c_0_158]) ).

cnf(c_0_164,plain,
    leq(X1,X1),
    i_0_83 ).

cnf(c_0_165,plain,
    ( X1 = X2
    | ~ leq(X2,X1)
    | ~ leq(X1,X2) ),
    i_0_87 ).

cnf(c_0_166,negated_conjecture,
    leq(host(esk6_0),host(esk8_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_161]),c_0_162])]) ).

cnf(c_0_167,negated_conjecture,
    leq(host(esk8_0),host(esk6_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_163]),c_0_164])]) ).

cnf(c_0_168,negated_conjecture,
    host(esk8_0) != host(esk6_0),
    i_0_106 ).

cnf(c_0_169,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_167])]),c_0_168]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWV459+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.35  % Computer : n029.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Tue Jun 14 23:36:58 EDT 2022
% 0.13/0.36  % CPUTime  : 
% 0.21/0.48  # ENIGMATIC: Selected SinE mode:
% 0.21/0.49  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.49  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.21/0.49  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.21/0.49  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 16.05/3.51  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 16.05/3.51  # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d45-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 85; version: 991; iters: 150)
% 16.05/3.51  # Preprocessing time       : 1.133 s
% 16.05/3.51  
% 16.05/3.51  # Proof found!
% 16.05/3.51  # SZS status Theorem
% 16.05/3.51  # SZS output start CNFRefutation
% See solution above
% 16.05/3.51  # Training examples: 0 positive, 0 negative
% 16.05/3.51  
% 16.05/3.51  # -------------------------------------------------
% 16.05/3.51  # User time                : 1.008 s
% 16.05/3.51  # System time              : 0.142 s
% 16.05/3.51  # Total time               : 1.150 s
% 16.05/3.51  # ...preprocessing         : 1.133 s
% 16.05/3.51  # ...main loop             : 0.017 s
% 16.05/3.51  # Maximum resident set size: 177748 pages
% 16.05/3.51  
%------------------------------------------------------------------------------