TSTP Solution File: LAT266-2 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : LAT266-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n026.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 03:49:46 EDT 2022

% Result   : Unsatisfiable 0.77s 1.17s
% Output   : Refutation 0.77s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : LAT266-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13  % Command  : bliksem %s
% 0.12/0.32  % Computer : n026.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % DateTime : Thu Jun 30 05:56:03 EDT 2022
% 0.12/0.32  % CPUTime  : 
% 0.77/1.17  *** allocated 10000 integers for termspace/termends
% 0.77/1.17  *** allocated 10000 integers for clauses
% 0.77/1.17  *** allocated 10000 integers for justifications
% 0.77/1.17  Bliksem 1.12
% 0.77/1.17  
% 0.77/1.17  
% 0.77/1.17  Automatic Strategy Selection
% 0.77/1.17  
% 0.77/1.17  Clauses:
% 0.77/1.17  [
% 0.77/1.17     [ 'c_lessequals'( 'v_S', 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a', 
% 0.77/1.17    'tc_Product__Type_Ounit' ), 'tc_set'( 't_a' ) ) ],
% 0.77/1.17     [ ~( 'c_lessequals'( 'v_S', 'c_Tarski_Opotype_Opset'( 'c_Tarski_Odual'( 
% 0.77/1.17    'v_cl', 't_a' ), 't_a', 'tc_Product__Type_Ounit' ), 'tc_set'( 't_a' ) ) )
% 0.77/1.17     ],
% 0.77/1.17     [ =( 'v_A', 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a', 
% 0.77/1.17    'tc_Product__Type_Ounit' ) ) ],
% 0.77/1.17     [ =( 'c_Tarski_Opotype_Opset'( 'c_Tarski_Odual'( X, Y ), Y, 
% 0.77/1.17    'tc_Product__Type_Ounit' ), 'c_Tarski_Opotype_Opset'( X, Y, 
% 0.77/1.17    'tc_Product__Type_Ounit' ) ) ]
% 0.77/1.17  ] .
% 0.77/1.17  
% 0.77/1.17  
% 0.77/1.17  percentage equality = 0.500000, percentage horn = 1.000000
% 0.77/1.17  This is a problem with some equality
% 0.77/1.17  
% 0.77/1.17  
% 0.77/1.17  
% 0.77/1.17  Options Used:
% 0.77/1.17  
% 0.77/1.17  useres =            1
% 0.77/1.17  useparamod =        1
% 0.77/1.17  useeqrefl =         1
% 0.77/1.17  useeqfact =         1
% 0.77/1.17  usefactor =         1
% 0.77/1.17  usesimpsplitting =  0
% 0.77/1.17  usesimpdemod =      5
% 0.77/1.17  usesimpres =        3
% 0.77/1.17  
% 0.77/1.17  resimpinuse      =  1000
% 0.77/1.17  resimpclauses =     20000
% 0.77/1.17  substype =          eqrewr
% 0.77/1.17  backwardsubs =      1
% 0.77/1.17  selectoldest =      5
% 0.77/1.17  
% 0.77/1.17  litorderings [0] =  split
% 0.77/1.17  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.77/1.17  
% 0.77/1.17  termordering =      kbo
% 0.77/1.17  
% 0.77/1.17  litapriori =        0
% 0.77/1.17  termapriori =       1
% 0.77/1.17  litaposteriori =    0
% 0.77/1.17  termaposteriori =   0
% 0.77/1.17  demodaposteriori =  0
% 0.77/1.17  ordereqreflfact =   0
% 0.77/1.17  
% 0.77/1.17  litselect =         negord
% 0.77/1.17  
% 0.77/1.17  maxweight =         15
% 0.77/1.17  maxdepth =          30000
% 0.77/1.17  maxlength =         115
% 0.77/1.17  maxnrvars =         195
% 0.77/1.17  excuselevel =       1
% 0.77/1.17  increasemaxweight = 1
% 0.77/1.17  
% 0.77/1.17  maxselected =       10000000
% 0.77/1.17  maxnrclauses =      10000000
% 0.77/1.17  
% 0.77/1.17  showgenerated =    0
% 0.77/1.17  showkept =         0
% 0.77/1.17  showselected =     0
% 0.77/1.17  showdeleted =      0
% 0.77/1.17  showresimp =       1
% 0.77/1.17  showstatus =       2000
% 0.77/1.17  
% 0.77/1.17  prologoutput =     1
% 0.77/1.17  nrgoals =          5000000
% 0.77/1.17  totalproof =       1
% 0.77/1.17  
% 0.77/1.17  Symbols occurring in the translation:
% 0.77/1.17  
% 0.77/1.17  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.77/1.17  .  [1, 2]      (w:1, o:22, a:1, s:1, b:0), 
% 0.77/1.17  !  [4, 1]      (w:0, o:16, a:1, s:1, b:0), 
% 0.77/1.17  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.77/1.17  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.77/1.17  'v_S'  [39, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.77/1.17  'v_cl'  [40, 0]      (w:1, o:10, a:1, s:1, b:0), 
% 0.77/1.17  't_a'  [41, 0]      (w:1, o:11, a:1, s:1, b:0), 
% 0.77/1.17  'tc_Product__Type_Ounit'  [42, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 0.77/1.17  'c_Tarski_Opotype_Opset'  [43, 3]      (w:1, o:48, a:1, s:1, b:0), 
% 0.77/1.17  'tc_set'  [44, 1]      (w:1, o:21, a:1, s:1, b:0), 
% 0.77/1.17  'c_lessequals'  [45, 3]      (w:1, o:49, a:1, s:1, b:0), 
% 0.77/1.17  'c_Tarski_Odual'  [46, 2]      (w:1, o:47, a:1, s:1, b:0), 
% 0.77/1.17  'v_A'  [47, 0]      (w:1, o:13, a:1, s:1, b:0).
% 0.77/1.17  
% 0.77/1.17  
% 0.77/1.17  Starting Search:
% 0.77/1.17  
% 0.77/1.17  
% 0.77/1.17  Bliksems!, er is een bewijs:
% 0.77/1.17  % SZS status Unsatisfiable
% 0.77/1.17  % SZS output start Refutation
% 0.77/1.17  
% 0.77/1.17  clause( 0, [ 'c_lessequals'( 'v_S', 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a'
% 0.77/1.17    , 'tc_Product__Type_Ounit' ), 'tc_set'( 't_a' ) ) ] )
% 0.77/1.17  .
% 0.77/1.17  clause( 1, [ ~( 'c_lessequals'( 'v_S', 'c_Tarski_Opotype_Opset'( 
% 0.77/1.17    'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a', 'tc_Product__Type_Ounit' ), 
% 0.77/1.17    'tc_set'( 't_a' ) ) ) ] )
% 0.77/1.17  .
% 0.77/1.17  clause( 2, [ =( 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a', 
% 0.77/1.17    'tc_Product__Type_Ounit' ), 'v_A' ) ] )
% 0.77/1.17  .
% 0.77/1.17  clause( 3, [ =( 'c_Tarski_Opotype_Opset'( 'c_Tarski_Odual'( X, Y ), Y, 
% 0.77/1.17    'tc_Product__Type_Ounit' ), 'c_Tarski_Opotype_Opset'( X, Y, 
% 0.77/1.17    'tc_Product__Type_Ounit' ) ) ] )
% 0.77/1.17  .
% 0.77/1.17  clause( 4, [ 'c_lessequals'( 'v_S', 'v_A', 'tc_set'( 't_a' ) ) ] )
% 0.77/1.17  .
% 0.77/1.17  clause( 5, [] )
% 0.77/1.17  .
% 0.77/1.17  
% 0.77/1.17  
% 0.77/1.17  % SZS output end Refutation
% 0.77/1.17  found a proof!
% 0.77/1.17  
% 0.77/1.17  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.77/1.17  
% 0.77/1.17  initialclauses(
% 0.77/1.17  [ clause( 7, [ 'c_lessequals'( 'v_S', 'c_Tarski_Opotype_Opset'( 'v_cl', 
% 0.77/1.17    't_a', 'tc_Product__Type_Ounit' ), 'tc_set'( 't_a' ) ) ] )
% 0.77/1.17  , clause( 8, [ ~( 'c_lessequals'( 'v_S', 'c_Tarski_Opotype_Opset'( 
% 0.77/1.17    'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a', 'tc_Product__Type_Ounit' ), 
% 0.77/1.17    'tc_set'( 't_a' ) ) ) ] )
% 0.77/1.17  , clause( 9, [ =( 'v_A', 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a', 
% 0.77/1.17    'tc_Product__Type_Ounit' ) ) ] )
% 0.77/1.17  , clause( 10, [ =( 'c_Tarski_Opotype_Opset'( 'c_Tarski_Odual'( X, Y ), Y, 
% 0.77/1.17    'tc_Product__Type_Ounit' ), 'c_Tarski_Opotype_Opset'( X, Y, 
% 0.77/1.17    'tc_Product__Type_Ounit' ) ) ] )
% 0.77/1.17  ] ).
% 0.77/1.17  
% 0.77/1.17  
% 0.77/1.17  
% 0.77/1.17  subsumption(
% 0.77/1.17  clause( 0, [ 'c_lessequals'( 'v_S', 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a'
% 0.77/1.17    , 'tc_Product__Type_Ounit' ), 'tc_set'( 't_a' ) ) ] )
% 0.77/1.17  , clause( 7, [ 'c_lessequals'( 'v_S', 'c_Tarski_Opotype_Opset'( 'v_cl', 
% 0.77/1.17    't_a', 'tc_Product__Type_Ounit' ), 'tc_set'( 't_a' ) ) ] )
% 0.77/1.17  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.17  
% 0.77/1.17  
% 0.77/1.17  subsumption(
% 0.77/1.17  clause( 1, [ ~( 'c_lessequals'( 'v_S', 'c_Tarski_Opotype_Opset'( 
% 0.77/1.17    'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a', 'tc_Product__Type_Ounit' ), 
% 0.77/1.17    'tc_set'( 't_a' ) ) ) ] )
% 0.77/1.17  , clause( 8, [ ~( 'c_lessequals'( 'v_S', 'c_Tarski_Opotype_Opset'( 
% 0.77/1.17    'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a', 'tc_Product__Type_Ounit' ), 
% 0.77/1.17    'tc_set'( 't_a' ) ) ) ] )
% 0.77/1.17  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.17  
% 0.77/1.17  
% 0.77/1.17  eqswap(
% 0.77/1.17  clause( 11, [ =( 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a', 
% 0.77/1.17    'tc_Product__Type_Ounit' ), 'v_A' ) ] )
% 0.77/1.17  , clause( 9, [ =( 'v_A', 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a', 
% 0.77/1.17    'tc_Product__Type_Ounit' ) ) ] )
% 0.77/1.17  , 0, substitution( 0, [] )).
% 0.77/1.17  
% 0.77/1.17  
% 0.77/1.17  subsumption(
% 0.77/1.17  clause( 2, [ =( 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a', 
% 0.77/1.17    'tc_Product__Type_Ounit' ), 'v_A' ) ] )
% 0.77/1.17  , clause( 11, [ =( 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a', 
% 0.77/1.17    'tc_Product__Type_Ounit' ), 'v_A' ) ] )
% 0.77/1.17  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.17  
% 0.77/1.17  
% 0.77/1.17  subsumption(
% 0.77/1.17  clause( 3, [ =( 'c_Tarski_Opotype_Opset'( 'c_Tarski_Odual'( X, Y ), Y, 
% 0.77/1.17    'tc_Product__Type_Ounit' ), 'c_Tarski_Opotype_Opset'( X, Y, 
% 0.77/1.17    'tc_Product__Type_Ounit' ) ) ] )
% 0.77/1.17  , clause( 10, [ =( 'c_Tarski_Opotype_Opset'( 'c_Tarski_Odual'( X, Y ), Y, 
% 0.77/1.17    'tc_Product__Type_Ounit' ), 'c_Tarski_Opotype_Opset'( X, Y, 
% 0.77/1.17    'tc_Product__Type_Ounit' ) ) ] )
% 0.77/1.17  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.77/1.17     )] ) ).
% 0.77/1.17  
% 0.77/1.17  
% 0.77/1.17  paramod(
% 0.77/1.17  clause( 15, [ 'c_lessequals'( 'v_S', 'v_A', 'tc_set'( 't_a' ) ) ] )
% 0.77/1.17  , clause( 2, [ =( 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a', 
% 0.77/1.17    'tc_Product__Type_Ounit' ), 'v_A' ) ] )
% 0.77/1.17  , 0, clause( 0, [ 'c_lessequals'( 'v_S', 'c_Tarski_Opotype_Opset'( 'v_cl', 
% 0.77/1.17    't_a', 'tc_Product__Type_Ounit' ), 'tc_set'( 't_a' ) ) ] )
% 0.77/1.17  , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.77/1.17  
% 0.77/1.17  
% 0.77/1.17  subsumption(
% 0.77/1.17  clause( 4, [ 'c_lessequals'( 'v_S', 'v_A', 'tc_set'( 't_a' ) ) ] )
% 0.77/1.17  , clause( 15, [ 'c_lessequals'( 'v_S', 'v_A', 'tc_set'( 't_a' ) ) ] )
% 0.77/1.17  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.17  
% 0.77/1.17  
% 0.77/1.17  paramod(
% 0.77/1.17  clause( 18, [ ~( 'c_lessequals'( 'v_S', 'c_Tarski_Opotype_Opset'( 'v_cl', 
% 0.77/1.17    't_a', 'tc_Product__Type_Ounit' ), 'tc_set'( 't_a' ) ) ) ] )
% 0.77/1.17  , clause( 3, [ =( 'c_Tarski_Opotype_Opset'( 'c_Tarski_Odual'( X, Y ), Y, 
% 0.77/1.17    'tc_Product__Type_Ounit' ), 'c_Tarski_Opotype_Opset'( X, Y, 
% 0.77/1.17    'tc_Product__Type_Ounit' ) ) ] )
% 0.77/1.17  , 0, clause( 1, [ ~( 'c_lessequals'( 'v_S', 'c_Tarski_Opotype_Opset'( 
% 0.77/1.17    'c_Tarski_Odual'( 'v_cl', 't_a' ), 't_a', 'tc_Product__Type_Ounit' ), 
% 0.77/1.17    'tc_set'( 't_a' ) ) ) ] )
% 0.77/1.17  , 0, 3, substitution( 0, [ :=( X, 'v_cl' ), :=( Y, 't_a' )] ), 
% 0.77/1.17    substitution( 1, [] )).
% 0.77/1.17  
% 0.77/1.17  
% 0.77/1.17  paramod(
% 0.77/1.17  clause( 19, [ ~( 'c_lessequals'( 'v_S', 'v_A', 'tc_set'( 't_a' ) ) ) ] )
% 0.77/1.17  , clause( 2, [ =( 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a', 
% 0.77/1.17    'tc_Product__Type_Ounit' ), 'v_A' ) ] )
% 0.77/1.17  , 0, clause( 18, [ ~( 'c_lessequals'( 'v_S', 'c_Tarski_Opotype_Opset'( 
% 0.77/1.17    'v_cl', 't_a', 'tc_Product__Type_Ounit' ), 'tc_set'( 't_a' ) ) ) ] )
% 0.77/1.17  , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 0.77/1.17  
% 0.77/1.17  
% 0.77/1.17  resolution(
% 0.77/1.17  clause( 20, [] )
% 0.77/1.17  , clause( 19, [ ~( 'c_lessequals'( 'v_S', 'v_A', 'tc_set'( 't_a' ) ) ) ] )
% 0.77/1.17  , 0, clause( 4, [ 'c_lessequals'( 'v_S', 'v_A', 'tc_set'( 't_a' ) ) ] )
% 0.77/1.17  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.77/1.17  
% 0.77/1.17  
% 0.77/1.17  subsumption(
% 0.77/1.17  clause( 5, [] )
% 0.77/1.17  , clause( 20, [] )
% 0.77/1.17  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.77/1.17  
% 0.77/1.17  
% 0.77/1.17  end.
% 0.77/1.17  
% 0.77/1.17  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.77/1.17  
% 0.77/1.17  Memory use:
% 0.77/1.17  
% 0.77/1.17  space for terms:        136
% 0.77/1.17  space for clauses:      545
% 0.77/1.17  
% 0.77/1.17  
% 0.77/1.17  clauses generated:      8
% 0.77/1.17  clauses kept:           6
% 0.77/1.17  clauses selected:       2
% 0.77/1.17  clauses deleted:        2
% 0.77/1.17  clauses inuse deleted:  0
% 0.77/1.17  
% 0.77/1.17  subsentry:          27
% 0.77/1.17  literals s-matched: 12
% 0.77/1.17  literals matched:   12
% 0.77/1.17  full subsumption:   0
% 0.77/1.17  
% 0.77/1.17  checksum:           -1071939396
% 0.77/1.17  
% 0.77/1.17  
% 0.77/1.17  Bliksem ended
%------------------------------------------------------------------------------