TSTP Solution File: LAT279-2 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : LAT279-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% 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  : 0s
% DateTime : Sun Jul 17 03:50:01 EDT 2022

% Result   : Unsatisfiable 0.44s 1.07s
% Output   : Refutation 0.44s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : LAT279-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13  % Command  : bliksem %s
% 0.12/0.34  % Computer : n004.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  % DateTime : Tue Jun 28 19:30:08 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.44/1.07  *** allocated 10000 integers for termspace/termends
% 0.44/1.07  *** allocated 10000 integers for clauses
% 0.44/1.07  *** allocated 10000 integers for justifications
% 0.44/1.07  Bliksem 1.12
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  Automatic Strategy Selection
% 0.44/1.07  
% 0.44/1.07  Clauses:
% 0.44/1.07  [
% 0.44/1.07     [ ~( 'c_Relation_Oantisym'( 'v_r', 't_a' ) ) ],
% 0.44/1.07     [ ~( 'c_in'( X, 'c_Tarski_OPartialOrder', 
% 0.44/1.07    'tc_Tarski_Opotype_Opotype__ext__type'( Y, 'tc_Product__Type_Ounit' ) ) )
% 0.44/1.07    , 'c_Relation_Oantisym'( 'c_Tarski_Opotype_Oorder'( X, Y, 
% 0.44/1.07    'tc_Product__Type_Ounit' ), Y ) ],
% 0.44/1.07     [ 'c_in'( 'v_cl', 'c_Tarski_OPartialOrder', 
% 0.44/1.07    'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit' )
% 0.44/1.07     ) ],
% 0.44/1.07     [ =( 'v_r', 'c_Tarski_Opotype_Oorder'( 'v_cl', 't_a', 
% 0.44/1.07    'tc_Product__Type_Ounit' ) ) ]
% 0.44/1.07  ] .
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  percentage equality = 0.200000, percentage horn = 1.000000
% 0.44/1.07  This is a problem with some equality
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  Options Used:
% 0.44/1.07  
% 0.44/1.07  useres =            1
% 0.44/1.07  useparamod =        1
% 0.44/1.07  useeqrefl =         1
% 0.44/1.07  useeqfact =         1
% 0.44/1.07  usefactor =         1
% 0.44/1.07  usesimpsplitting =  0
% 0.44/1.07  usesimpdemod =      5
% 0.44/1.07  usesimpres =        3
% 0.44/1.07  
% 0.44/1.07  resimpinuse      =  1000
% 0.44/1.07  resimpclauses =     20000
% 0.44/1.07  substype =          eqrewr
% 0.44/1.07  backwardsubs =      1
% 0.44/1.07  selectoldest =      5
% 0.44/1.07  
% 0.44/1.07  litorderings [0] =  split
% 0.44/1.07  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.44/1.07  
% 0.44/1.07  termordering =      kbo
% 0.44/1.07  
% 0.44/1.07  litapriori =        0
% 0.44/1.07  termapriori =       1
% 0.44/1.07  litaposteriori =    0
% 0.44/1.07  termaposteriori =   0
% 0.44/1.07  demodaposteriori =  0
% 0.44/1.07  ordereqreflfact =   0
% 0.44/1.07  
% 0.44/1.07  litselect =         negord
% 0.44/1.07  
% 0.44/1.07  maxweight =         15
% 0.44/1.07  maxdepth =          30000
% 0.44/1.07  maxlength =         115
% 0.44/1.07  maxnrvars =         195
% 0.44/1.07  excuselevel =       1
% 0.44/1.07  increasemaxweight = 1
% 0.44/1.07  
% 0.44/1.07  maxselected =       10000000
% 0.44/1.07  maxnrclauses =      10000000
% 0.44/1.07  
% 0.44/1.07  showgenerated =    0
% 0.44/1.07  showkept =         0
% 0.44/1.07  showselected =     0
% 0.44/1.07  showdeleted =      0
% 0.44/1.07  showresimp =       1
% 0.44/1.07  showstatus =       2000
% 0.44/1.07  
% 0.44/1.07  prologoutput =     1
% 0.44/1.07  nrgoals =          5000000
% 0.44/1.07  totalproof =       1
% 0.44/1.07  
% 0.44/1.07  Symbols occurring in the translation:
% 0.44/1.07  
% 0.44/1.07  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.44/1.07  .  [1, 2]      (w:1, o:21, a:1, s:1, b:0), 
% 0.44/1.07  !  [4, 1]      (w:0, o:16, a:1, s:1, b:0), 
% 0.44/1.07  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.44/1.07  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.44/1.07  'v_r'  [39, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.44/1.07  't_a'  [40, 0]      (w:1, o:10, a:1, s:1, b:0), 
% 0.44/1.07  'c_Relation_Oantisym'  [41, 2]      (w:1, o:46, a:1, s:1, b:0), 
% 0.44/1.07  'c_Tarski_OPartialOrder'  [43, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 0.44/1.07  'tc_Product__Type_Ounit'  [45, 0]      (w:1, o:14, a:1, s:1, b:0), 
% 0.44/1.07  'tc_Tarski_Opotype_Opotype__ext__type'  [46, 2]      (w:1, o:47, a:1, s:1
% 0.44/1.07    , b:0), 
% 0.44/1.07  'c_in'  [47, 3]      (w:1, o:48, a:1, s:1, b:0), 
% 0.44/1.07  'c_Tarski_Opotype_Oorder'  [48, 3]      (w:1, o:49, a:1, s:1, b:0), 
% 0.44/1.07  'v_cl'  [49, 0]      (w:1, o:15, a:1, s:1, b:0).
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  Starting Search:
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  Bliksems!, er is een bewijs:
% 0.44/1.07  % SZS status Unsatisfiable
% 0.44/1.07  % SZS output start Refutation
% 0.44/1.07  
% 0.44/1.07  clause( 0, [ ~( 'c_Relation_Oantisym'( 'v_r', 't_a' ) ) ] )
% 0.44/1.07  .
% 0.44/1.07  clause( 1, [ ~( 'c_in'( X, 'c_Tarski_OPartialOrder', 
% 0.44/1.07    'tc_Tarski_Opotype_Opotype__ext__type'( Y, 'tc_Product__Type_Ounit' ) ) )
% 0.44/1.07    , 'c_Relation_Oantisym'( 'c_Tarski_Opotype_Oorder'( X, Y, 
% 0.44/1.07    'tc_Product__Type_Ounit' ), Y ) ] )
% 0.44/1.07  .
% 0.44/1.07  clause( 2, [ 'c_in'( 'v_cl', 'c_Tarski_OPartialOrder', 
% 0.44/1.07    'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit' )
% 0.44/1.07     ) ] )
% 0.44/1.07  .
% 0.44/1.07  clause( 3, [ =( 'c_Tarski_Opotype_Oorder'( 'v_cl', 't_a', 
% 0.44/1.07    'tc_Product__Type_Ounit' ), 'v_r' ) ] )
% 0.44/1.07  .
% 0.44/1.07  clause( 4, [] )
% 0.44/1.07  .
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  % SZS output end Refutation
% 0.44/1.07  found a proof!
% 0.44/1.07  
% 0.44/1.07  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.44/1.07  
% 0.44/1.07  initialclauses(
% 0.44/1.07  [ clause( 6, [ ~( 'c_Relation_Oantisym'( 'v_r', 't_a' ) ) ] )
% 0.44/1.07  , clause( 7, [ ~( 'c_in'( X, 'c_Tarski_OPartialOrder', 
% 0.44/1.07    'tc_Tarski_Opotype_Opotype__ext__type'( Y, 'tc_Product__Type_Ounit' ) ) )
% 0.44/1.07    , 'c_Relation_Oantisym'( 'c_Tarski_Opotype_Oorder'( X, Y, 
% 0.44/1.07    'tc_Product__Type_Ounit' ), Y ) ] )
% 0.44/1.07  , clause( 8, [ 'c_in'( 'v_cl', 'c_Tarski_OPartialOrder', 
% 0.44/1.07    'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit' )
% 0.44/1.07     ) ] )
% 0.44/1.07  , clause( 9, [ =( 'v_r', 'c_Tarski_Opotype_Oorder'( 'v_cl', 't_a', 
% 0.44/1.07    'tc_Product__Type_Ounit' ) ) ] )
% 0.44/1.07  ] ).
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  subsumption(
% 0.44/1.07  clause( 0, [ ~( 'c_Relation_Oantisym'( 'v_r', 't_a' ) ) ] )
% 0.44/1.07  , clause( 6, [ ~( 'c_Relation_Oantisym'( 'v_r', 't_a' ) ) ] )
% 0.44/1.07  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  subsumption(
% 0.44/1.07  clause( 1, [ ~( 'c_in'( X, 'c_Tarski_OPartialOrder', 
% 0.44/1.07    'tc_Tarski_Opotype_Opotype__ext__type'( Y, 'tc_Product__Type_Ounit' ) ) )
% 0.44/1.07    , 'c_Relation_Oantisym'( 'c_Tarski_Opotype_Oorder'( X, Y, 
% 0.44/1.07    'tc_Product__Type_Ounit' ), Y ) ] )
% 0.44/1.07  , clause( 7, [ ~( 'c_in'( X, 'c_Tarski_OPartialOrder', 
% 0.44/1.07    'tc_Tarski_Opotype_Opotype__ext__type'( Y, 'tc_Product__Type_Ounit' ) ) )
% 0.44/1.07    , 'c_Relation_Oantisym'( 'c_Tarski_Opotype_Oorder'( X, Y, 
% 0.44/1.07    'tc_Product__Type_Ounit' ), Y ) ] )
% 0.44/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.44/1.07     ), ==>( 1, 1 )] ) ).
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  subsumption(
% 0.44/1.07  clause( 2, [ 'c_in'( 'v_cl', 'c_Tarski_OPartialOrder', 
% 0.44/1.07    'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit' )
% 0.44/1.07     ) ] )
% 0.44/1.07  , clause( 8, [ 'c_in'( 'v_cl', 'c_Tarski_OPartialOrder', 
% 0.44/1.07    'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit' )
% 0.44/1.07     ) ] )
% 0.44/1.07  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  eqswap(
% 0.44/1.07  clause( 10, [ =( 'c_Tarski_Opotype_Oorder'( 'v_cl', 't_a', 
% 0.44/1.07    'tc_Product__Type_Ounit' ), 'v_r' ) ] )
% 0.44/1.07  , clause( 9, [ =( 'v_r', 'c_Tarski_Opotype_Oorder'( 'v_cl', 't_a', 
% 0.44/1.07    'tc_Product__Type_Ounit' ) ) ] )
% 0.44/1.07  , 0, substitution( 0, [] )).
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  subsumption(
% 0.44/1.07  clause( 3, [ =( 'c_Tarski_Opotype_Oorder'( 'v_cl', 't_a', 
% 0.44/1.07    'tc_Product__Type_Ounit' ), 'v_r' ) ] )
% 0.44/1.07  , clause( 10, [ =( 'c_Tarski_Opotype_Oorder'( 'v_cl', 't_a', 
% 0.44/1.07    'tc_Product__Type_Ounit' ), 'v_r' ) ] )
% 0.44/1.07  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  resolution(
% 0.44/1.07  clause( 12, [ 'c_Relation_Oantisym'( 'c_Tarski_Opotype_Oorder'( 'v_cl', 
% 0.44/1.07    't_a', 'tc_Product__Type_Ounit' ), 't_a' ) ] )
% 0.44/1.07  , clause( 1, [ ~( 'c_in'( X, 'c_Tarski_OPartialOrder', 
% 0.44/1.07    'tc_Tarski_Opotype_Opotype__ext__type'( Y, 'tc_Product__Type_Ounit' ) ) )
% 0.44/1.07    , 'c_Relation_Oantisym'( 'c_Tarski_Opotype_Oorder'( X, Y, 
% 0.44/1.07    'tc_Product__Type_Ounit' ), Y ) ] )
% 0.44/1.07  , 0, clause( 2, [ 'c_in'( 'v_cl', 'c_Tarski_OPartialOrder', 
% 0.44/1.07    'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit' )
% 0.44/1.07     ) ] )
% 0.44/1.07  , 0, substitution( 0, [ :=( X, 'v_cl' ), :=( Y, 't_a' )] ), substitution( 1
% 0.44/1.07    , [] )).
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  paramod(
% 0.44/1.07  clause( 13, [ 'c_Relation_Oantisym'( 'v_r', 't_a' ) ] )
% 0.44/1.07  , clause( 3, [ =( 'c_Tarski_Opotype_Oorder'( 'v_cl', 't_a', 
% 0.44/1.07    'tc_Product__Type_Ounit' ), 'v_r' ) ] )
% 0.44/1.07  , 0, clause( 12, [ 'c_Relation_Oantisym'( 'c_Tarski_Opotype_Oorder'( 'v_cl'
% 0.44/1.07    , 't_a', 'tc_Product__Type_Ounit' ), 't_a' ) ] )
% 0.44/1.07  , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  resolution(
% 0.44/1.07  clause( 14, [] )
% 0.44/1.07  , clause( 0, [ ~( 'c_Relation_Oantisym'( 'v_r', 't_a' ) ) ] )
% 0.44/1.07  , 0, clause( 13, [ 'c_Relation_Oantisym'( 'v_r', 't_a' ) ] )
% 0.44/1.07  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  subsumption(
% 0.44/1.07  clause( 4, [] )
% 0.44/1.07  , clause( 14, [] )
% 0.44/1.07  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  end.
% 0.44/1.07  
% 0.44/1.07  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.44/1.07  
% 0.44/1.07  Memory use:
% 0.44/1.07  
% 0.44/1.07  space for terms:        112
% 0.44/1.07  space for clauses:      379
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  clauses generated:      7
% 0.44/1.07  clauses kept:           5
% 0.44/1.07  clauses selected:       4
% 0.44/1.07  clauses deleted:        0
% 0.44/1.07  clauses inuse deleted:  0
% 0.44/1.07  
% 0.44/1.07  subsentry:          9
% 0.44/1.07  literals s-matched: 4
% 0.44/1.07  literals matched:   4
% 0.44/1.07  full subsumption:   0
% 0.44/1.07  
% 0.44/1.07  checksum:           -1235391182
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  Bliksem ended
%------------------------------------------------------------------------------