TSTP Solution File: SWV466+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWV466+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n004.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 11.47s 2.85s
% Output   : CNFRefutation 11.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   23
% Syntax   : Number of clauses     :   74 (  47 unt;  10 nHn;  69 RR)
%            Number of literals    :  151 (  57 equ;  82 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   20 (  20 usr;  11 con; 0-2 aty)
%            Number of variables   :   99 (  50 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_110,negated_conjecture,
    leq(nbr_proc,index(pendack,host(esk6_0))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jnlgko1r/lgb.p',i_0_110) ).

cnf(i_0_111,negated_conjecture,
    index(pendack,host(esk6_0)) = host(esk7_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jnlgko1r/lgb.p',i_0_111) ).

cnf(i_0_87,plain,
    ( X1 = X2
    | ~ leq(X2,X1)
    | ~ leq(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jnlgko1r/lgb.p',i_0_87) ).

cnf(i_0_4,plain,
    leq(host(X1),nbr_proc),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jnlgko1r/lgb.p',i_0_4) ).

cnf(i_0_123,plain,
    ( leq(host(X1),host(X2))
    | index(status,host(X2)) != elec_2
    | index(status,host(X1)) != elec_2
    | ~ setIn(X2,alive)
    | ~ setIn(X1,alive)
    | ~ epred1_3(X3,X4,X5)
    | ~ leq(index(pendack,host(X1)),index(pendack,host(X2))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jnlgko1r/lgb.p',i_0_123) ).

cnf(i_0_100,negated_conjecture,
    index(pendack,host(esk12_0)) = host(esk10_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jnlgko1r/lgb.p',i_0_100) ).

cnf(i_0_101,negated_conjecture,
    index(status,host(esk12_0)) = elec_2,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jnlgko1r/lgb.p',i_0_101) ).

cnf(i_0_105,negated_conjecture,
    setIn(esk12_0,alive),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jnlgko1r/lgb.p',i_0_105) ).

cnf(i_0_125,plain,
    ( leq(host(X1),host(X2))
    | leq(index(pendack,host(X2)),host(X1))
    | index(status,host(X2)) != elec_2
    | index(status,host(X1)) != elec_2
    | ~ setIn(X2,alive)
    | ~ setIn(X1,alive)
    | ~ epred1_3(X3,X4,X5) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jnlgko1r/lgb.p',i_0_125) ).

cnf(i_0_115,negated_conjecture,
    epred1_3(esk5_0,esk7_0,esk6_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jnlgko1r/lgb.p',i_0_115) ).

cnf(i_0_112,negated_conjecture,
    index(status,host(esk6_0)) = elec_2,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jnlgko1r/lgb.p',i_0_112) ).

cnf(i_0_114,negated_conjecture,
    setIn(esk6_0,alive),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jnlgko1r/lgb.p',i_0_114) ).

cnf(i_0_56,plain,
    ( X1 = X2
    | elem(X1,X3)
    | ~ elem(X1,snoc(X3,X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jnlgko1r/lgb.p',i_0_56) ).

cnf(i_0_102,negated_conjecture,
    elem(m_Ack(esk12_0,esk10_0),snoc(queue(host(esk12_0)),m_Ldr(esk6_0))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jnlgko1r/lgb.p',i_0_102) ).

cnf(i_0_14,plain,
    m_Ack(X1,X2) != m_Ldr(X3),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jnlgko1r/lgb.p',i_0_14) ).

cnf(i_0_104,negated_conjecture,
    leq(nbr_proc,s(index(pendack,host(esk12_0)))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jnlgko1r/lgb.p',i_0_104) ).

cnf(i_0_99,negated_conjecture,
    s(index(pendack,host(esk12_0))) = host(esk11_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jnlgko1r/lgb.p',i_0_99) ).

cnf(i_0_124,plain,
    ( host(X1) != host(X2)
    | index(status,host(X1)) != elec_2
    | index(status,host(X3)) != elec_2
    | ~ setIn(X1,alive)
    | ~ setIn(X3,alive)
    | ~ epred1_3(X4,X5,X6)
    | ~ elem(m_Ack(X3,X2),queue(host(X3))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jnlgko1r/lgb.p',i_0_124) ).

cnf(i_0_52,plain,
    ( elem(X1,cons(X2,X3))
    | X1 != X2 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jnlgko1r/lgb.p',i_0_52) ).

cnf(i_0_116,plain,
    ( queue(host(X1)) = cons(m_Down(X2),X3)
    | ~ epred1_3(X3,X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jnlgko1r/lgb.p',i_0_116) ).

cnf(i_0_106,negated_conjecture,
    host(esk12_0) != host(esk6_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jnlgko1r/lgb.p',i_0_106) ).

cnf(i_0_134,plain,
    ( host(X1) != host(X2)
    | ~ epred1_3(X3,X4,X5)
    | ~ elem(m_Down(X1),queue(host(X2))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jnlgko1r/lgb.p',i_0_134) ).

cnf(i_0_93,plain,
    ( X1 = s(X2)
    | leq(X1,X2)
    | ~ leq(X1,s(X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jnlgko1r/lgb.p',i_0_93) ).

cnf(c_0_158,negated_conjecture,
    leq(nbr_proc,index(pendack,host(esk6_0))),
    i_0_110 ).

cnf(c_0_159,negated_conjecture,
    index(pendack,host(esk6_0)) = host(esk7_0),
    i_0_111 ).

cnf(c_0_160,plain,
    ( X1 = X2
    | ~ leq(X2,X1)
    | ~ leq(X1,X2) ),
    i_0_87 ).

cnf(c_0_161,negated_conjecture,
    leq(nbr_proc,host(esk7_0)),
    inference(rw,[status(thm)],[c_0_158,c_0_159]) ).

cnf(c_0_162,plain,
    leq(host(X1),nbr_proc),
    i_0_4 ).

cnf(c_0_163,plain,
    ( leq(host(X1),host(X2))
    | index(status,host(X2)) != elec_2
    | index(status,host(X1)) != elec_2
    | ~ setIn(X2,alive)
    | ~ setIn(X1,alive)
    | ~ epred1_3(X3,X4,X5)
    | ~ leq(index(pendack,host(X1)),index(pendack,host(X2))) ),
    i_0_123 ).

cnf(c_0_164,negated_conjecture,
    index(pendack,host(esk12_0)) = host(esk10_0),
    i_0_100 ).

cnf(c_0_165,negated_conjecture,
    index(status,host(esk12_0)) = elec_2,
    i_0_101 ).

cnf(c_0_166,negated_conjecture,
    setIn(esk12_0,alive),
    i_0_105 ).

cnf(c_0_167,negated_conjecture,
    host(esk7_0) = nbr_proc,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_161]),c_0_162])]) ).

cnf(c_0_168,plain,
    ( leq(host(X1),host(X2))
    | leq(index(pendack,host(X2)),host(X1))
    | index(status,host(X2)) != elec_2
    | index(status,host(X1)) != elec_2
    | ~ setIn(X2,alive)
    | ~ setIn(X1,alive)
    | ~ epred1_3(X3,X4,X5) ),
    i_0_125 ).

cnf(c_0_169,negated_conjecture,
    epred1_3(esk5_0,esk7_0,esk6_0),
    i_0_115 ).

cnf(c_0_170,negated_conjecture,
    ( leq(host(esk12_0),host(X1))
    | index(status,host(X1)) != elec_2
    | ~ setIn(X1,alive)
    | ~ leq(host(esk10_0),index(pendack,host(X1)))
    | ~ epred1_3(X2,X3,X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_165]),c_0_166])]) ).

cnf(c_0_171,negated_conjecture,
    index(pendack,host(esk6_0)) = nbr_proc,
    inference(rw,[status(thm)],[c_0_159,c_0_167]) ).

cnf(c_0_172,negated_conjecture,
    index(status,host(esk6_0)) = elec_2,
    i_0_112 ).

cnf(c_0_173,negated_conjecture,
    setIn(esk6_0,alive),
    i_0_114 ).

cnf(c_0_174,plain,
    ( X1 = X2
    | elem(X1,X3)
    | ~ elem(X1,snoc(X3,X2)) ),
    i_0_56 ).

cnf(c_0_175,negated_conjecture,
    elem(m_Ack(esk12_0,esk10_0),snoc(queue(host(esk12_0)),m_Ldr(esk6_0))),
    i_0_102 ).

cnf(c_0_176,plain,
    m_Ack(X1,X2) != m_Ldr(X3),
    i_0_14 ).

cnf(c_0_177,negated_conjecture,
    leq(nbr_proc,s(index(pendack,host(esk12_0)))),
    i_0_104 ).

cnf(c_0_178,negated_conjecture,
    s(index(pendack,host(esk12_0))) = host(esk11_0),
    i_0_99 ).

cnf(c_0_179,negated_conjecture,
    ( leq(index(pendack,host(X1)),host(X2))
    | leq(host(X2),host(X1))
    | index(status,host(X1)) != elec_2
    | index(status,host(X2)) != elec_2
    | ~ setIn(X1,alive)
    | ~ setIn(X2,alive) ),
    inference(spm,[status(thm)],[c_0_168,c_0_169]) ).

cnf(c_0_180,negated_conjecture,
    ( leq(host(esk12_0),host(esk6_0))
    | ~ epred1_3(X1,X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_172]),c_0_173]),c_0_162])]) ).

cnf(c_0_181,plain,
    ( host(X1) != host(X2)
    | index(status,host(X1)) != elec_2
    | index(status,host(X3)) != elec_2
    | ~ setIn(X1,alive)
    | ~ setIn(X3,alive)
    | ~ epred1_3(X4,X5,X6)
    | ~ elem(m_Ack(X3,X2),queue(host(X3))) ),
    i_0_124 ).

cnf(c_0_182,negated_conjecture,
    elem(m_Ack(esk12_0,esk10_0),queue(host(esk12_0))),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_176]) ).

cnf(c_0_183,negated_conjecture,
    leq(nbr_proc,s(host(esk10_0))),
    inference(rw,[status(thm)],[c_0_177,c_0_164]) ).

cnf(c_0_184,negated_conjecture,
    s(host(esk10_0)) = host(esk11_0),
    inference(rw,[status(thm)],[c_0_178,c_0_164]) ).

cnf(c_0_185,plain,
    ( elem(X1,cons(X2,X3))
    | X1 != X2 ),
    i_0_52 ).

cnf(c_0_186,plain,
    ( queue(host(X1)) = cons(m_Down(X2),X3)
    | ~ epred1_3(X3,X2,X1) ),
    i_0_116 ).

cnf(c_0_187,negated_conjecture,
    ( leq(host(X1),host(esk12_0))
    | leq(host(esk10_0),host(X1))
    | index(status,host(X1)) != elec_2
    | ~ setIn(X1,alive) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_164]),c_0_165]),c_0_166])]) ).

cnf(c_0_188,negated_conjecture,
    leq(host(esk12_0),host(esk6_0)),
    inference(spm,[status(thm)],[c_0_180,c_0_169]) ).

cnf(c_0_189,negated_conjecture,
    host(esk12_0) != host(esk6_0),
    i_0_106 ).

cnf(c_0_190,plain,
    ( index(status,host(X1)) != elec_2
    | host(X1) != host(esk10_0)
    | ~ setIn(X1,alive)
    | ~ epred1_3(X2,X3,X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_165]),c_0_166])]) ).

cnf(c_0_191,negated_conjecture,
    leq(nbr_proc,host(esk11_0)),
    inference(rw,[status(thm)],[c_0_183,c_0_184]) ).

cnf(c_0_192,plain,
    elem(X1,cons(X1,X2)),
    inference(er,[status(thm)],[c_0_185]) ).

cnf(c_0_193,negated_conjecture,
    cons(m_Down(esk7_0),esk5_0) = queue(host(esk6_0)),
    inference(spm,[status(thm)],[c_0_186,c_0_169]) ).

cnf(c_0_194,negated_conjecture,
    ( leq(host(esk10_0),host(esk6_0))
    | leq(host(esk6_0),host(esk12_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_172]),c_0_173])]) ).

cnf(c_0_195,plain,
    ~ leq(host(esk6_0),host(esk12_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_188]),c_0_189]) ).

cnf(c_0_196,negated_conjecture,
    ( host(esk10_0) != host(esk6_0)
    | ~ epred1_3(X1,X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_173]),c_0_172])]) ).

cnf(c_0_197,plain,
    host(esk11_0) = nbr_proc,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_191]),c_0_162])]) ).

cnf(c_0_198,plain,
    ( host(X1) != host(X2)
    | ~ epred1_3(X3,X4,X5)
    | ~ elem(m_Down(X1),queue(host(X2))) ),
    i_0_134 ).

cnf(c_0_199,plain,
    elem(m_Down(esk7_0),queue(host(esk6_0))),
    inference(spm,[status(thm)],[c_0_192,c_0_193]) ).

cnf(c_0_200,negated_conjecture,
    leq(host(esk10_0),host(esk6_0)),
    inference(sr,[status(thm)],[c_0_194,c_0_195]) ).

cnf(c_0_201,negated_conjecture,
    host(esk10_0) != host(esk6_0),
    inference(spm,[status(thm)],[c_0_196,c_0_169]) ).

cnf(c_0_202,plain,
    ( X1 = s(X2)
    | leq(X1,X2)
    | ~ leq(X1,s(X2)) ),
    i_0_93 ).

cnf(c_0_203,negated_conjecture,
    s(host(esk10_0)) = nbr_proc,
    inference(rw,[status(thm)],[c_0_184,c_0_197]) ).

cnf(c_0_204,plain,
    ( host(esk6_0) != nbr_proc
    | ~ epred1_3(X1,X2,X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_199]),c_0_167]) ).

cnf(c_0_205,plain,
    ~ leq(host(esk6_0),host(esk10_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_200]),c_0_201]) ).

cnf(c_0_206,plain,
    ( X1 = nbr_proc
    | leq(X1,host(esk10_0))
    | ~ leq(X1,nbr_proc) ),
    inference(spm,[status(thm)],[c_0_202,c_0_203]) ).

cnf(c_0_207,negated_conjecture,
    host(esk6_0) != nbr_proc,
    inference(spm,[status(thm)],[c_0_204,c_0_169]) ).

cnf(c_0_208,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_206]),c_0_162])]),c_0_207]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV466+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n004.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 : Wed Jun 15 20:16:10 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.46  # ENIGMATIC: Selected SinE mode:
% 0.20/0.47  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.20/0.47  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.20/0.47  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 11.47/2.85  # ENIGMATIC: Solved by autoschedule-lgb:
% 11.47/2.85  # No SInE strategy applied
% 11.47/2.85  # Trying AutoSched0 for 150 seconds
% 11.47/2.85  # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S0Y
% 11.47/2.85  # and selection function SelectMaxLComplexAvoidPosPred.
% 11.47/2.85  #
% 11.47/2.85  # Preprocessing time       : 0.027 s
% 11.47/2.85  
% 11.47/2.85  # Proof found!
% 11.47/2.85  # SZS status Theorem
% 11.47/2.85  # SZS output start CNFRefutation
% See solution above
% 11.47/2.85  # Training examples: 0 positive, 0 negative
% 11.47/2.85  
% 11.47/2.85  # -------------------------------------------------
% 11.47/2.85  # User time                : 0.316 s
% 11.47/2.85  # System time              : 0.016 s
% 11.47/2.85  # Total time               : 0.332 s
% 11.47/2.85  # Maximum resident set size: 7128 pages
% 11.47/2.85  
%------------------------------------------------------------------------------