TSTP Solution File: SWV457+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWV457+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 9.67s 2.69s
% Output   : CNFRefutation 9.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   20
% Syntax   : Number of clauses     :   68 (  41 unt;   3 nHn;  61 RR)
%            Number of literals    :  135 (  64 equ;  69 neg)
%            Maximal clause size   :    9 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   20 (  20 usr;  13 con; 0-2 aty)
%            Number of variables   :   92 (  45 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_103,negated_conjecture,
    leq(nbr_proc,index(pendack,host(esk10_0))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2iniq63o/input.p',i_0_103) ).

cnf(i_0_100,negated_conjecture,
    index(pendack,host(esk10_0)) = host(esk9_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2iniq63o/input.p',i_0_100) ).

cnf(i_0_56,plain,
    ( X1 = X2
    | elem(X1,X3)
    | ~ elem(X1,snoc(X3,X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2iniq63o/input.p',i_0_56) ).

cnf(i_0_102,negated_conjecture,
    elem(m_Ack(esk10_0,esk9_0),snoc(queue(host(esk10_0)),m_Ack(esk7_0,esk6_0))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2iniq63o/input.p',i_0_102) ).

cnf(i_0_87,plain,
    ( X1 = X2
    | ~ leq(X2,X1)
    | ~ leq(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2iniq63o/input.p',i_0_87) ).

cnf(i_0_4,plain,
    leq(host(X1),nbr_proc),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2iniq63o/input.p',i_0_4) ).

cnf(i_0_111,plain,
    ( index(status,host(X1)) != norm
    | index(status,host(X2)) != elec_2
    | host(X3) != index(pendack,host(X2))
    | index(ldr,host(X1)) != host(X1)
    | ~ setIn(X1,alive)
    | ~ setIn(X2,alive)
    | ~ epred1_3(X4,X5,X6)
    | ~ leq(nbr_proc,index(pendack,host(X2)))
    | ~ elem(m_Ack(X2,X3),queue(host(X2))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2iniq63o/input.p',i_0_111) ).

cnf(i_0_101,negated_conjecture,
    index(status,host(esk10_0)) = elec_2,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2iniq63o/input.p',i_0_101) ).

cnf(i_0_83,plain,
    leq(X1,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2iniq63o/input.p',i_0_83) ).

cnf(i_0_104,negated_conjecture,
    setIn(esk10_0,alive),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2iniq63o/input.p',i_0_104) ).

cnf(i_0_97,negated_conjecture,
    index(status,host(esk8_0)) = norm,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2iniq63o/input.p',i_0_97) ).

cnf(i_0_98,negated_conjecture,
    index(ldr,host(esk8_0)) = host(esk8_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2iniq63o/input.p',i_0_98) ).

cnf(i_0_99,negated_conjecture,
    setIn(esk8_0,alive),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2iniq63o/input.p',i_0_99) ).

cnf(i_0_109,negated_conjecture,
    epred1_3(esk5_0,esk6_0,esk7_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2iniq63o/input.p',i_0_109) ).

cnf(i_0_110,plain,
    ( queue(host(X1)) = cons(m_Halt(X2),X3)
    | ~ epred1_3(X3,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2iniq63o/input.p',i_0_110) ).

cnf(i_0_37,plain,
    ( X1 = X2
    | m_Ack(X3,X1) != m_Ack(X4,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2iniq63o/input.p',i_0_37) ).

cnf(i_0_52,plain,
    ( elem(X1,cons(X2,X3))
    | X1 != X2 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2iniq63o/input.p',i_0_52) ).

cnf(i_0_36,plain,
    ( X1 = X2
    | m_Ack(X1,X3) != m_Ack(X2,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2iniq63o/input.p',i_0_36) ).

cnf(i_0_112,plain,
    ( leq(index(pendack,host(X1)),host(X2))
    | index(status,host(X2)) != norm
    | index(status,host(X1)) != elec_2
    | index(ldr,host(X2)) != host(X2)
    | ~ setIn(X2,alive)
    | ~ setIn(X1,alive)
    | ~ epred1_3(X3,X4,X5)
    | ~ elem(m_Halt(X1),queue(host(X6))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2iniq63o/input.p',i_0_112) ).

cnf(i_0_107,negated_conjecture,
    host(esk8_0) != host(esk6_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2iniq63o/input.p',i_0_107) ).

cnf(c_0_133,negated_conjecture,
    leq(nbr_proc,index(pendack,host(esk10_0))),
    i_0_103 ).

cnf(c_0_134,negated_conjecture,
    index(pendack,host(esk10_0)) = host(esk9_0),
    i_0_100 ).

cnf(c_0_135,plain,
    ( X1 = X2
    | elem(X1,X3)
    | ~ elem(X1,snoc(X3,X2)) ),
    i_0_56 ).

cnf(c_0_136,negated_conjecture,
    elem(m_Ack(esk10_0,esk9_0),snoc(queue(host(esk10_0)),m_Ack(esk7_0,esk6_0))),
    i_0_102 ).

cnf(c_0_137,plain,
    ( X1 = X2
    | ~ leq(X2,X1)
    | ~ leq(X1,X2) ),
    i_0_87 ).

cnf(c_0_138,negated_conjecture,
    leq(nbr_proc,host(esk9_0)),
    inference(rw,[status(thm)],[c_0_133,c_0_134]) ).

cnf(c_0_139,plain,
    leq(host(X1),nbr_proc),
    i_0_4 ).

cnf(c_0_140,plain,
    ( index(status,host(X1)) != norm
    | index(status,host(X2)) != elec_2
    | host(X3) != index(pendack,host(X2))
    | index(ldr,host(X1)) != host(X1)
    | ~ setIn(X1,alive)
    | ~ setIn(X2,alive)
    | ~ epred1_3(X4,X5,X6)
    | ~ leq(nbr_proc,index(pendack,host(X2)))
    | ~ elem(m_Ack(X2,X3),queue(host(X2))) ),
    i_0_111 ).

cnf(c_0_141,negated_conjecture,
    ( m_Ack(esk7_0,esk6_0) = m_Ack(esk10_0,esk9_0)
    | elem(m_Ack(esk10_0,esk9_0),queue(host(esk10_0))) ),
    inference(spm,[status(thm)],[c_0_135,c_0_136]) ).

cnf(c_0_142,plain,
    host(esk9_0) = nbr_proc,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_139])]) ).

cnf(c_0_143,negated_conjecture,
    index(status,host(esk10_0)) = elec_2,
    i_0_101 ).

cnf(c_0_144,plain,
    leq(X1,X1),
    i_0_83 ).

cnf(c_0_145,negated_conjecture,
    setIn(esk10_0,alive),
    i_0_104 ).

cnf(c_0_146,plain,
    ( m_Ack(esk7_0,esk6_0) = m_Ack(esk10_0,esk9_0)
    | index(ldr,host(X1)) != host(X1)
    | index(status,host(X1)) != norm
    | ~ epred1_3(X2,X3,X4)
    | ~ setIn(X1,alive) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_142]),c_0_134]),c_0_142]),c_0_143]),c_0_134]),c_0_142]),c_0_144]),c_0_145])]) ).

cnf(c_0_147,negated_conjecture,
    index(status,host(esk8_0)) = norm,
    i_0_97 ).

cnf(c_0_148,negated_conjecture,
    index(ldr,host(esk8_0)) = host(esk8_0),
    i_0_98 ).

cnf(c_0_149,negated_conjecture,
    setIn(esk8_0,alive),
    i_0_99 ).

cnf(c_0_150,negated_conjecture,
    ( m_Ack(esk7_0,esk6_0) = m_Ack(esk10_0,esk9_0)
    | ~ epred1_3(X1,X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[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_151,negated_conjecture,
    epred1_3(esk5_0,esk6_0,esk7_0),
    i_0_109 ).

cnf(c_0_152,plain,
    ( queue(host(X1)) = cons(m_Halt(X2),X3)
    | ~ epred1_3(X3,X1,X2) ),
    i_0_110 ).

cnf(c_0_153,plain,
    ( X1 = X2
    | m_Ack(X3,X1) != m_Ack(X4,X2) ),
    i_0_37 ).

cnf(c_0_154,negated_conjecture,
    m_Ack(esk7_0,esk6_0) = m_Ack(esk10_0,esk9_0),
    inference(spm,[status(thm)],[c_0_150,c_0_151]) ).

cnf(c_0_155,plain,
    ( elem(X1,cons(X2,X3))
    | X1 != X2 ),
    i_0_52 ).

cnf(c_0_156,negated_conjecture,
    cons(m_Halt(esk7_0),esk5_0) = queue(host(esk6_0)),
    inference(spm,[status(thm)],[c_0_152,c_0_151]) ).

cnf(c_0_157,plain,
    ( esk6_0 = X1
    | m_Ack(esk10_0,esk9_0) != m_Ack(X2,X1) ),
    inference(spm,[status(thm)],[c_0_153,c_0_154]) ).

cnf(c_0_158,plain,
    elem(X1,cons(X1,X2)),
    inference(er,[status(thm)],[c_0_155]) ).

cnf(c_0_159,plain,
    ( queue(host(X1)) = queue(host(esk6_0))
    | ~ epred1_3(esk5_0,X1,esk7_0) ),
    inference(spm,[status(thm)],[c_0_152,c_0_156]) ).

cnf(c_0_160,plain,
    esk9_0 = esk6_0,
    inference(er,[status(thm)],[c_0_157]) ).

cnf(c_0_161,plain,
    elem(m_Halt(esk7_0),queue(host(esk6_0))),
    inference(spm,[status(thm)],[c_0_158,c_0_156]) ).

cnf(c_0_162,plain,
    ( queue(host(esk6_0)) = queue(nbr_proc)
    | ~ epred1_3(esk5_0,esk9_0,esk7_0) ),
    inference(spm,[status(thm)],[c_0_159,c_0_142]) ).

cnf(c_0_163,plain,
    ( X1 = X2
    | m_Ack(X1,X3) != m_Ack(X2,X4) ),
    i_0_36 ).

cnf(c_0_164,negated_conjecture,
    m_Ack(esk7_0,esk6_0) = m_Ack(esk10_0,esk6_0),
    inference(rw,[status(thm)],[c_0_154,c_0_160]) ).

cnf(c_0_165,plain,
    ( elem(m_Halt(esk7_0),queue(nbr_proc))
    | ~ epred1_3(esk5_0,esk9_0,esk7_0) ),
    inference(spm,[status(thm)],[c_0_161,c_0_162]) ).

cnf(c_0_166,plain,
    ( esk7_0 = X1
    | m_Ack(esk10_0,esk6_0) != m_Ack(X1,X2) ),
    inference(spm,[status(thm)],[c_0_163,c_0_164]) ).

cnf(c_0_167,plain,
    ( leq(index(pendack,host(X1)),host(X2))
    | index(status,host(X2)) != norm
    | index(status,host(X1)) != elec_2
    | index(ldr,host(X2)) != host(X2)
    | ~ setIn(X2,alive)
    | ~ setIn(X1,alive)
    | ~ epred1_3(X3,X4,X5)
    | ~ elem(m_Halt(X1),queue(host(X6))) ),
    i_0_112 ).

cnf(c_0_168,negated_conjecture,
    index(pendack,host(esk10_0)) = nbr_proc,
    inference(rw,[status(thm)],[c_0_134,c_0_142]) ).

cnf(c_0_169,plain,
    elem(m_Halt(esk7_0),queue(nbr_proc)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_165,c_0_160]),c_0_151])]) ).

cnf(c_0_170,plain,
    esk7_0 = esk10_0,
    inference(er,[status(thm)],[c_0_166]) ).

cnf(c_0_171,plain,
    ( leq(nbr_proc,host(X1))
    | index(ldr,host(X1)) != host(X1)
    | index(status,host(X1)) != norm
    | ~ elem(m_Halt(esk10_0),queue(host(X2)))
    | ~ epred1_3(X3,X4,X5)
    | ~ setIn(X1,alive) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_143]),c_0_145])]) ).

cnf(c_0_172,plain,
    host(esk6_0) = nbr_proc,
    inference(rw,[status(thm)],[c_0_142,c_0_160]) ).

cnf(c_0_173,plain,
    elem(m_Halt(esk10_0),queue(nbr_proc)),
    inference(rw,[status(thm)],[c_0_169,c_0_170]) ).

cnf(c_0_174,plain,
    ( leq(nbr_proc,host(X1))
    | index(ldr,host(X1)) != host(X1)
    | index(status,host(X1)) != norm
    | ~ epred1_3(X2,X3,X4)
    | ~ setIn(X1,alive) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_173])]) ).

cnf(c_0_175,negated_conjecture,
    ( leq(nbr_proc,host(esk8_0))
    | ~ epred1_3(X1,X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_147]),c_0_148]),c_0_149])]) ).

cnf(c_0_176,negated_conjecture,
    epred1_3(esk5_0,esk6_0,esk10_0),
    inference(rw,[status(thm)],[c_0_151,c_0_170]) ).

cnf(c_0_177,negated_conjecture,
    host(esk8_0) != host(esk6_0),
    i_0_107 ).

cnf(c_0_178,negated_conjecture,
    leq(nbr_proc,host(esk8_0)),
    inference(spm,[status(thm)],[c_0_175,c_0_176]) ).

cnf(c_0_179,negated_conjecture,
    host(esk8_0) != nbr_proc,
    inference(rw,[status(thm)],[c_0_177,c_0_172]) ).

cnf(c_0_180,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_178]),c_0_139])]),c_0_179]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV457+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n013.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 09:48:45 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  # ENIGMATIC: Selected SinE mode:
% 0.20/0.46  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.20/0.46  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.20/0.46  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 9.67/2.69  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S04BN:
% 9.67/2.69  # Version: 2.1pre011
% 9.67/2.69  # Preprocessing time       : 0.021 s
% 9.67/2.69  
% 9.67/2.69  # Proof found!
% 9.67/2.69  # SZS status Theorem
% 9.67/2.69  # SZS output start CNFRefutation
% See solution above
% 9.67/2.69  # Proof object total steps             : 68
% 9.67/2.69  # Proof object clause steps            : 48
% 9.67/2.69  # Proof object formula steps           : 20
% 9.67/2.69  # Proof object conjectures             : 31
% 9.67/2.69  # Proof object clause conjectures      : 21
% 9.67/2.69  # Proof object formula conjectures     : 10
% 9.67/2.69  # Proof object initial clauses used    : 20
% 9.67/2.69  # Proof object initial formulas used   : 20
% 9.67/2.69  # Proof object generating inferences   : 19
% 9.67/2.69  # Proof object simplifying inferences  : 36
% 9.67/2.69  # Training examples: 0 positive, 0 negative
% 9.67/2.69  # Parsed axioms                        : 120
% 9.67/2.69  # Removed by relevancy pruning/SinE    : 0
% 9.67/2.69  # Initial clauses                      : 120
% 9.67/2.69  # Removed in clause preprocessing      : 0
% 9.67/2.69  # Initial clauses in saturation        : 120
% 9.67/2.69  # Processed clauses                    : 1485
% 9.67/2.69  # ...of these trivial                  : 56
% 9.67/2.69  # ...subsumed                          : 668
% 9.67/2.69  # ...remaining for further processing  : 761
% 9.67/2.69  # Other redundant clauses eliminated   : 4
% 9.67/2.69  # Clauses deleted for lack of memory   : 0
% 9.67/2.69  # Backward-subsumed                    : 35
% 9.67/2.69  # Backward-rewritten                   : 88
% 9.67/2.69  # Generated clauses                    : 8364
% 9.67/2.69  # ...of the previous two non-trivial   : 7195
% 9.67/2.69  # Contextual simplify-reflections      : 165
% 9.67/2.69  # Paramodulations                      : 8212
% 9.67/2.69  # Factorizations                       : 108
% 9.67/2.69  # Equation resolutions                 : 43
% 9.67/2.69  # Propositional unsat checks           : 0
% 9.67/2.69  # Propositional unsat check successes  : 0
% 9.67/2.69  # Current number of processed clauses  : 633
% 9.67/2.69  #    Positive orientable unit clauses  : 59
% 9.67/2.69  #    Positive unorientable unit clauses: 0
% 9.67/2.69  #    Negative unit clauses             : 60
% 9.67/2.69  #    Non-unit-clauses                  : 514
% 9.67/2.69  # Current number of unprocessed clauses: 5125
% 9.67/2.69  # ...number of literals in the above   : 19044
% 9.67/2.69  # Current number of archived formulas  : 0
% 9.67/2.69  # Current number of archived clauses   : 124
% 9.67/2.69  # Clause-clause subsumption calls (NU) : 92134
% 9.67/2.69  # Rec. Clause-clause subsumption calls : 42001
% 9.67/2.69  # Non-unit clause-clause subsumptions  : 581
% 9.67/2.69  # Unit Clause-clause subsumption calls : 2801
% 9.67/2.69  # Rewrite failures with RHS unbound    : 0
% 9.67/2.69  # BW rewrite match attempts            : 41
% 9.67/2.69  # BW rewrite match successes           : 15
% 9.67/2.69  # Condensation attempts                : 0
% 9.67/2.69  # Condensation successes               : 0
% 9.67/2.69  # Termbank termtop insertions          : 123144
% 9.67/2.69  
% 9.67/2.69  # -------------------------------------------------
% 9.67/2.69  # User time                : 0.224 s
% 9.67/2.69  # System time              : 0.009 s
% 9.67/2.69  # Total time               : 0.233 s
% 9.67/2.69  # ...preprocessing         : 0.021 s
% 9.67/2.69  # ...main loop             : 0.212 s
% 9.67/2.69  # Maximum resident set size: 9996 pages
% 9.67/2.69  
%------------------------------------------------------------------------------