TSTP Solution File: SWV460+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWV460+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n007.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 10.87s 2.87s
% Output   : CNFRefutation 10.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   44 (  25 unt;   4 nHn;  38 RR)
%            Number of literals    :   94 (  21 equ;  50 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   17 (  17 usr;  11 con; 0-2 aty)
%            Number of variables   :   66 (  26 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_52,plain,
    ( elem(X1,cons(X2,X3))
    | X1 != X2 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xlj1oofr/input.p',i_0_52) ).

cnf(i_0_112,plain,
    ( queue(host(X1)) = cons(m_Down(X2),X3)
    | ~ epred1_3(X3,X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xlj1oofr/input.p',i_0_112) ).

cnf(i_0_111,negated_conjecture,
    epred1_3(esk5_0,esk7_0,esk6_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xlj1oofr/input.p',i_0_111) ).

cnf(i_0_88,plain,
    ( leq(X1,X2)
    | ~ leq(X3,X2)
    | ~ leq(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xlj1oofr/input.p',i_0_88) ).

cnf(i_0_97,negated_conjecture,
    leq(s(host(esk6_0)),index(pendack,host(esk9_0))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xlj1oofr/input.p',i_0_97) ).

cnf(i_0_106,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-xlj1oofr/input.p',i_0_106) ).

cnf(i_0_2,plain,
    leq(s(zero),host(X1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xlj1oofr/input.p',i_0_2) ).

cnf(i_0_114,plain,
    ( leq(index(pendack,host(X1)),host(X2))
    | host(X1) != host(X3)
    | index(status,host(X1)) != elec_2
    | ~ setIn(X1,alive)
    | ~ setIn(X2,alive)
    | ~ epred1_3(X4,X5,X6)
    | ~ elem(m_Down(X3),queue(host(X2))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xlj1oofr/input.p',i_0_114) ).

cnf(i_0_110,negated_conjecture,
    setIn(esk6_0,alive),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xlj1oofr/input.p',i_0_110) ).

cnf(i_0_90,plain,
    ( leq(s(X1),s(X2))
    | ~ leq(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xlj1oofr/input.p',i_0_90) ).

cnf(i_0_118,plain,
    ( leq(index(pendack,host(X1)),host(X2))
    | index(status,host(X1)) != elec_2
    | ~ setIn(X1,alive)
    | ~ setIn(X2,alive)
    | ~ epred1_3(X3,X4,X5)
    | ~ setIn(host(X1),index(down,host(X2))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xlj1oofr/input.p',i_0_118) ).

cnf(i_0_82,plain,
    ~ leq(s(X1),X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xlj1oofr/input.p',i_0_82) ).

cnf(i_0_101,negated_conjecture,
    ~ leq(host(esk8_0),host(esk9_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xlj1oofr/input.p',i_0_101) ).

cnf(i_0_103,negated_conjecture,
    host(esk6_0) = host(esk8_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xlj1oofr/input.p',i_0_103) ).

cnf(i_0_98,negated_conjecture,
    index(status,host(esk9_0)) = elec_2,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xlj1oofr/input.p',i_0_98) ).

cnf(i_0_99,negated_conjecture,
    setIn(esk9_0,alive),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xlj1oofr/input.p',i_0_99) ).

cnf(c_0_135,plain,
    ( elem(X1,cons(X2,X3))
    | X1 != X2 ),
    i_0_52 ).

cnf(c_0_136,plain,
    ( queue(host(X1)) = cons(m_Down(X2),X3)
    | ~ epred1_3(X3,X2,X1) ),
    i_0_112 ).

cnf(c_0_137,negated_conjecture,
    epred1_3(esk5_0,esk7_0,esk6_0),
    i_0_111 ).

cnf(c_0_138,plain,
    elem(X1,cons(X1,X2)),
    inference(er,[status(thm)],[c_0_135]) ).

cnf(c_0_139,negated_conjecture,
    cons(m_Down(esk7_0),esk5_0) = queue(host(esk6_0)),
    inference(spm,[status(thm)],[c_0_136,c_0_137]) ).

cnf(c_0_140,plain,
    ( leq(X1,X2)
    | ~ leq(X3,X2)
    | ~ leq(X1,X3) ),
    i_0_88 ).

cnf(c_0_141,negated_conjecture,
    leq(s(host(esk6_0)),index(pendack,host(esk9_0))),
    i_0_97 ).

cnf(c_0_142,negated_conjecture,
    ( X1 = host(esk7_0)
    | leq(host(esk6_0),X1)
    | setIn(X1,index(down,host(esk6_0)))
    | ~ leq(s(zero),X1) ),
    i_0_106 ).

cnf(c_0_143,plain,
    leq(s(zero),host(X1)),
    i_0_2 ).

cnf(c_0_144,plain,
    ( leq(index(pendack,host(X1)),host(X2))
    | host(X1) != host(X3)
    | index(status,host(X1)) != elec_2
    | ~ setIn(X1,alive)
    | ~ setIn(X2,alive)
    | ~ epred1_3(X4,X5,X6)
    | ~ elem(m_Down(X3),queue(host(X2))) ),
    i_0_114 ).

cnf(c_0_145,negated_conjecture,
    elem(m_Down(esk7_0),queue(host(esk6_0))),
    inference(spm,[status(thm)],[c_0_138,c_0_139]) ).

cnf(c_0_146,negated_conjecture,
    setIn(esk6_0,alive),
    i_0_110 ).

cnf(c_0_147,negated_conjecture,
    ( leq(X1,index(pendack,host(esk9_0)))
    | ~ leq(X1,s(host(esk6_0))) ),
    inference(spm,[status(thm)],[c_0_140,c_0_141]) ).

cnf(c_0_148,plain,
    ( leq(s(X1),s(X2))
    | ~ leq(X1,X2) ),
    i_0_90 ).

cnf(c_0_149,plain,
    ( leq(index(pendack,host(X1)),host(X2))
    | index(status,host(X1)) != elec_2
    | ~ setIn(X1,alive)
    | ~ setIn(X2,alive)
    | ~ epred1_3(X3,X4,X5)
    | ~ setIn(host(X1),index(down,host(X2))) ),
    i_0_118 ).

cnf(c_0_150,plain,
    ( host(X1) = host(esk7_0)
    | leq(host(esk6_0),host(X1))
    | setIn(host(X1),index(down,host(esk6_0))) ),
    inference(spm,[status(thm)],[c_0_142,c_0_143]) ).

cnf(c_0_151,plain,
    ( leq(index(pendack,host(X1)),host(esk6_0))
    | index(status,host(X1)) != elec_2
    | host(X1) != host(esk7_0)
    | ~ epred1_3(X2,X3,X4)
    | ~ setIn(X1,alive) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_146])]) ).

cnf(c_0_152,plain,
    ~ leq(s(X1),X1),
    i_0_82 ).

cnf(c_0_153,plain,
    ( leq(s(X1),index(pendack,host(esk9_0)))
    | ~ leq(X1,host(esk6_0)) ),
    inference(spm,[status(thm)],[c_0_147,c_0_148]) ).

cnf(c_0_154,negated_conjecture,
    ~ leq(host(esk8_0),host(esk9_0)),
    i_0_101 ).

cnf(c_0_155,negated_conjecture,
    host(esk6_0) = host(esk8_0),
    i_0_103 ).

cnf(c_0_156,plain,
    ( leq(index(pendack,host(X1)),host(esk6_0))
    | leq(host(esk6_0),host(X1))
    | index(status,host(X1)) != elec_2
    | ~ epred1_3(X2,X3,X4)
    | ~ setIn(X1,alive) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_146])]),c_0_151]) ).

cnf(c_0_157,negated_conjecture,
    index(status,host(esk9_0)) = elec_2,
    i_0_98 ).

cnf(c_0_158,negated_conjecture,
    setIn(esk9_0,alive),
    i_0_99 ).

cnf(c_0_159,plain,
    ~ leq(index(pendack,host(esk9_0)),host(esk6_0)),
    inference(spm,[status(thm)],[c_0_152,c_0_153]) ).

cnf(c_0_160,negated_conjecture,
    ~ leq(host(esk6_0),host(esk9_0)),
    inference(rw,[status(thm)],[c_0_154,c_0_155]) ).

cnf(c_0_161,negated_conjecture,
    ~ epred1_3(X1,X2,X3),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_158])]),c_0_159]),c_0_160]) ).

cnf(c_0_162,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[c_0_137,c_0_161]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV460+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n007.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Tue Jun 14 21:04:56 EDT 2022
% 0.12/0.34  % 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
% 10.87/2.87  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S04BN:
% 10.87/2.87  # Version: 2.1pre011
% 10.87/2.87  # Preprocessing time       : 0.017 s
% 10.87/2.87  
% 10.87/2.87  # Proof found!
% 10.87/2.87  # SZS status Theorem
% 10.87/2.87  # SZS output start CNFRefutation
% See solution above
% 10.87/2.87  # Proof object total steps             : 44
% 10.87/2.87  # Proof object clause steps            : 28
% 10.87/2.87  # Proof object formula steps           : 16
% 10.87/2.87  # Proof object conjectures             : 22
% 10.87/2.87  # Proof object clause conjectures      : 14
% 10.87/2.87  # Proof object formula conjectures     : 8
% 10.87/2.87  # Proof object initial clauses used    : 16
% 10.87/2.87  # Proof object initial formulas used   : 16
% 10.87/2.87  # Proof object generating inferences   : 9
% 10.87/2.87  # Proof object simplifying inferences  : 12
% 10.87/2.87  # Training examples: 0 positive, 0 negative
% 10.87/2.87  # Parsed axioms                        : 119
% 10.87/2.87  # Removed by relevancy pruning/SinE    : 0
% 10.87/2.87  # Initial clauses                      : 119
% 10.87/2.87  # Removed in clause preprocessing      : 0
% 10.87/2.87  # Initial clauses in saturation        : 119
% 10.87/2.87  # Processed clauses                    : 1705
% 10.87/2.87  # ...of these trivial                  : 57
% 10.87/2.87  # ...subsumed                          : 1021
% 10.87/2.87  # ...remaining for further processing  : 627
% 10.87/2.87  # Other redundant clauses eliminated   : 10
% 10.87/2.87  # Clauses deleted for lack of memory   : 0
% 10.87/2.87  # Backward-subsumed                    : 27
% 10.87/2.87  # Backward-rewritten                   : 12
% 10.87/2.87  # Generated clauses                    : 16644
% 10.87/2.87  # ...of the previous two non-trivial   : 11245
% 10.87/2.87  # Contextual simplify-reflections      : 287
% 10.87/2.87  # Paramodulations                      : 16525
% 10.87/2.87  # Factorizations                       : 79
% 10.87/2.87  # Equation resolutions                 : 38
% 10.87/2.87  # Propositional unsat checks           : 0
% 10.87/2.87  # Propositional unsat check successes  : 0
% 10.87/2.87  # Current number of processed clauses  : 582
% 10.87/2.87  #    Positive orientable unit clauses  : 73
% 10.87/2.87  #    Positive unorientable unit clauses: 0
% 10.87/2.87  #    Negative unit clauses             : 79
% 10.87/2.87  #    Non-unit-clauses                  : 430
% 10.87/2.87  # Current number of unprocessed clauses: 8793
% 10.87/2.87  # ...number of literals in the above   : 29931
% 10.87/2.87  # Current number of archived formulas  : 0
% 10.87/2.87  # Current number of archived clauses   : 41
% 10.87/2.87  # Clause-clause subsumption calls (NU) : 99064
% 10.87/2.87  # Rec. Clause-clause subsumption calls : 75815
% 10.87/2.87  # Non-unit clause-clause subsumptions  : 892
% 10.87/2.87  # Unit Clause-clause subsumption calls : 4417
% 10.87/2.87  # Rewrite failures with RHS unbound    : 0
% 10.87/2.87  # BW rewrite match attempts            : 77
% 10.87/2.87  # BW rewrite match successes           : 12
% 10.87/2.87  # Condensation attempts                : 0
% 10.87/2.87  # Condensation successes               : 0
% 10.87/2.87  # Termbank termtop insertions          : 216130
% 10.87/2.87  
% 10.87/2.87  # -------------------------------------------------
% 10.87/2.87  # User time                : 0.293 s
% 10.87/2.87  # System time              : 0.005 s
% 10.87/2.87  # Total time               : 0.298 s
% 10.87/2.87  # ...preprocessing         : 0.017 s
% 10.87/2.87  # ...main loop             : 0.281 s
% 10.87/2.87  # Maximum resident set size: 12372 pages
% 10.87/2.87  
%------------------------------------------------------------------------------