TSTP Solution File: LAT275-2 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : LAT275-2 : 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 03:49:57 EDT 2022

% Result   : Unsatisfiable 0.42s 1.06s
% Output   : Refutation 0.42s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LAT275-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13  % Command  : bliksem %s
% 0.13/0.33  % Computer : n004.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % DateTime : Thu Jun 30 04:14:38 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.42/1.06  *** allocated 10000 integers for termspace/termends
% 0.42/1.06  *** allocated 10000 integers for clauses
% 0.42/1.06  *** allocated 10000 integers for justifications
% 0.42/1.06  Bliksem 1.12
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  Automatic Strategy Selection
% 0.42/1.06  
% 0.42/1.06  Clauses:
% 0.42/1.06  [
% 0.42/1.06     [ 'c_lessequals'( 'v_S', 'v_A', 'tc_set'( 't_a' ) ) ],
% 0.42/1.06     [ ~( 'c_in'( 'c_Tarski_Olub'( 'v_S', 'v_cl', 't_a' ), 
% 0.42/1.06    'c_Tarski_Opotype_Opset'( 'v_cl', 't_a', 'tc_Product__Type_Ounit' ), 
% 0.42/1.06    't_a' ) ) ],
% 0.42/1.06     [ =( 'v_A', 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a', 
% 0.42/1.06    'tc_Product__Type_Ounit' ) ) ],
% 0.42/1.06     [ ~( 'c_lessequals'( X, 'v_A', 'tc_set'( 't_a' ) ) ), 'c_in'( 
% 0.42/1.06    'c_Tarski_Olub'( X, 'v_cl', 't_a' ), 'v_A', 't_a' ) ]
% 0.42/1.06  ] .
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  percentage equality = 0.200000, percentage horn = 1.000000
% 0.42/1.06  This is a problem with some equality
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  Options Used:
% 0.42/1.06  
% 0.42/1.06  useres =            1
% 0.42/1.06  useparamod =        1
% 0.42/1.06  useeqrefl =         1
% 0.42/1.06  useeqfact =         1
% 0.42/1.06  usefactor =         1
% 0.42/1.06  usesimpsplitting =  0
% 0.42/1.06  usesimpdemod =      5
% 0.42/1.06  usesimpres =        3
% 0.42/1.06  
% 0.42/1.06  resimpinuse      =  1000
% 0.42/1.06  resimpclauses =     20000
% 0.42/1.06  substype =          eqrewr
% 0.42/1.06  backwardsubs =      1
% 0.42/1.06  selectoldest =      5
% 0.42/1.06  
% 0.42/1.06  litorderings [0] =  split
% 0.42/1.06  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.42/1.06  
% 0.42/1.06  termordering =      kbo
% 0.42/1.06  
% 0.42/1.06  litapriori =        0
% 0.42/1.06  termapriori =       1
% 0.42/1.06  litaposteriori =    0
% 0.42/1.06  termaposteriori =   0
% 0.42/1.06  demodaposteriori =  0
% 0.42/1.06  ordereqreflfact =   0
% 0.42/1.06  
% 0.42/1.06  litselect =         negord
% 0.42/1.06  
% 0.42/1.06  maxweight =         15
% 0.42/1.06  maxdepth =          30000
% 0.42/1.06  maxlength =         115
% 0.42/1.06  maxnrvars =         195
% 0.42/1.06  excuselevel =       1
% 0.42/1.06  increasemaxweight = 1
% 0.42/1.06  
% 0.42/1.06  maxselected =       10000000
% 0.42/1.06  maxnrclauses =      10000000
% 0.42/1.06  
% 0.42/1.06  showgenerated =    0
% 0.42/1.06  showkept =         0
% 0.42/1.06  showselected =     0
% 0.42/1.06  showdeleted =      0
% 0.42/1.06  showresimp =       1
% 0.42/1.06  showstatus =       2000
% 0.42/1.06  
% 0.42/1.06  prologoutput =     1
% 0.42/1.06  nrgoals =          5000000
% 0.42/1.06  totalproof =       1
% 0.42/1.06  
% 0.42/1.06  Symbols occurring in the translation:
% 0.42/1.06  
% 0.42/1.06  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.42/1.06  .  [1, 2]      (w:1, o:21, a:1, s:1, b:0), 
% 0.42/1.06  !  [4, 1]      (w:0, o:15, a:1, s:1, b:0), 
% 0.42/1.06  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.42/1.06  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.42/1.06  'v_S'  [39, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.42/1.06  'v_A'  [40, 0]      (w:1, o:10, a:1, s:1, b:0), 
% 0.42/1.06  't_a'  [41, 0]      (w:1, o:11, a:1, s:1, b:0), 
% 0.42/1.06  'tc_set'  [42, 1]      (w:1, o:20, a:1, s:1, b:0), 
% 0.42/1.06  'c_lessequals'  [43, 3]      (w:1, o:46, a:1, s:1, b:0), 
% 0.42/1.06  'v_cl'  [44, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 0.42/1.06  'c_Tarski_Olub'  [45, 3]      (w:1, o:47, a:1, s:1, b:0), 
% 0.42/1.06  'tc_Product__Type_Ounit'  [46, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 0.42/1.06  'c_Tarski_Opotype_Opset'  [47, 3]      (w:1, o:48, a:1, s:1, b:0), 
% 0.42/1.06  'c_in'  [48, 3]      (w:1, o:49, a:1, s:1, b:0).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  Starting Search:
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  Bliksems!, er is een bewijs:
% 0.42/1.06  % SZS status Unsatisfiable
% 0.42/1.06  % SZS output start Refutation
% 0.42/1.06  
% 0.42/1.06  clause( 0, [ 'c_lessequals'( 'v_S', 'v_A', 'tc_set'( 't_a' ) ) ] )
% 0.42/1.06  .
% 0.42/1.06  clause( 1, [ ~( 'c_in'( 'c_Tarski_Olub'( 'v_S', 'v_cl', 't_a' ), 
% 0.42/1.06    'c_Tarski_Opotype_Opset'( 'v_cl', 't_a', 'tc_Product__Type_Ounit' ), 
% 0.42/1.06    't_a' ) ) ] )
% 0.42/1.06  .
% 0.42/1.06  clause( 2, [ =( 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a', 
% 0.42/1.06    'tc_Product__Type_Ounit' ), 'v_A' ) ] )
% 0.42/1.06  .
% 0.42/1.06  clause( 3, [ ~( 'c_lessequals'( X, 'v_A', 'tc_set'( 't_a' ) ) ), 'c_in'( 
% 0.42/1.06    'c_Tarski_Olub'( X, 'v_cl', 't_a' ), 'v_A', 't_a' ) ] )
% 0.42/1.06  .
% 0.42/1.06  clause( 4, [ ~( 'c_in'( 'c_Tarski_Olub'( 'v_S', 'v_cl', 't_a' ), 'v_A', 
% 0.42/1.06    't_a' ) ) ] )
% 0.42/1.06  .
% 0.42/1.06  clause( 5, [] )
% 0.42/1.06  .
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  % SZS output end Refutation
% 0.42/1.06  found a proof!
% 0.42/1.06  
% 0.42/1.06  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.06  
% 0.42/1.06  initialclauses(
% 0.42/1.06  [ clause( 7, [ 'c_lessequals'( 'v_S', 'v_A', 'tc_set'( 't_a' ) ) ] )
% 0.42/1.06  , clause( 8, [ ~( 'c_in'( 'c_Tarski_Olub'( 'v_S', 'v_cl', 't_a' ), 
% 0.42/1.06    'c_Tarski_Opotype_Opset'( 'v_cl', 't_a', 'tc_Product__Type_Ounit' ), 
% 0.42/1.06    't_a' ) ) ] )
% 0.42/1.06  , clause( 9, [ =( 'v_A', 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a', 
% 0.42/1.06    'tc_Product__Type_Ounit' ) ) ] )
% 0.42/1.06  , clause( 10, [ ~( 'c_lessequals'( X, 'v_A', 'tc_set'( 't_a' ) ) ), 'c_in'( 
% 0.42/1.06    'c_Tarski_Olub'( X, 'v_cl', 't_a' ), 'v_A', 't_a' ) ] )
% 0.42/1.06  ] ).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  subsumption(
% 0.42/1.06  clause( 0, [ 'c_lessequals'( 'v_S', 'v_A', 'tc_set'( 't_a' ) ) ] )
% 0.42/1.06  , clause( 7, [ 'c_lessequals'( 'v_S', 'v_A', 'tc_set'( 't_a' ) ) ] )
% 0.42/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  subsumption(
% 0.42/1.06  clause( 1, [ ~( 'c_in'( 'c_Tarski_Olub'( 'v_S', 'v_cl', 't_a' ), 
% 0.42/1.06    'c_Tarski_Opotype_Opset'( 'v_cl', 't_a', 'tc_Product__Type_Ounit' ), 
% 0.42/1.06    't_a' ) ) ] )
% 0.42/1.06  , clause( 8, [ ~( 'c_in'( 'c_Tarski_Olub'( 'v_S', 'v_cl', 't_a' ), 
% 0.42/1.06    'c_Tarski_Opotype_Opset'( 'v_cl', 't_a', 'tc_Product__Type_Ounit' ), 
% 0.42/1.06    't_a' ) ) ] )
% 0.42/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  eqswap(
% 0.42/1.06  clause( 11, [ =( 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a', 
% 0.42/1.06    'tc_Product__Type_Ounit' ), 'v_A' ) ] )
% 0.42/1.06  , clause( 9, [ =( 'v_A', 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a', 
% 0.42/1.06    'tc_Product__Type_Ounit' ) ) ] )
% 0.42/1.06  , 0, substitution( 0, [] )).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  subsumption(
% 0.42/1.06  clause( 2, [ =( 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a', 
% 0.42/1.06    'tc_Product__Type_Ounit' ), 'v_A' ) ] )
% 0.42/1.06  , clause( 11, [ =( 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a', 
% 0.42/1.06    'tc_Product__Type_Ounit' ), 'v_A' ) ] )
% 0.42/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  subsumption(
% 0.42/1.06  clause( 3, [ ~( 'c_lessequals'( X, 'v_A', 'tc_set'( 't_a' ) ) ), 'c_in'( 
% 0.42/1.06    'c_Tarski_Olub'( X, 'v_cl', 't_a' ), 'v_A', 't_a' ) ] )
% 0.42/1.06  , clause( 10, [ ~( 'c_lessequals'( X, 'v_A', 'tc_set'( 't_a' ) ) ), 'c_in'( 
% 0.42/1.06    'c_Tarski_Olub'( X, 'v_cl', 't_a' ), 'v_A', 't_a' ) ] )
% 0.42/1.06  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.42/1.06    1 )] ) ).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  paramod(
% 0.42/1.06  clause( 14, [ ~( 'c_in'( 'c_Tarski_Olub'( 'v_S', 'v_cl', 't_a' ), 'v_A', 
% 0.42/1.06    't_a' ) ) ] )
% 0.42/1.06  , clause( 2, [ =( 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a', 
% 0.42/1.06    'tc_Product__Type_Ounit' ), 'v_A' ) ] )
% 0.42/1.06  , 0, clause( 1, [ ~( 'c_in'( 'c_Tarski_Olub'( 'v_S', 'v_cl', 't_a' ), 
% 0.42/1.06    'c_Tarski_Opotype_Opset'( 'v_cl', 't_a', 'tc_Product__Type_Ounit' ), 
% 0.42/1.06    't_a' ) ) ] )
% 0.42/1.06  , 0, 6, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  subsumption(
% 0.42/1.06  clause( 4, [ ~( 'c_in'( 'c_Tarski_Olub'( 'v_S', 'v_cl', 't_a' ), 'v_A', 
% 0.42/1.06    't_a' ) ) ] )
% 0.42/1.06  , clause( 14, [ ~( 'c_in'( 'c_Tarski_Olub'( 'v_S', 'v_cl', 't_a' ), 'v_A', 
% 0.42/1.06    't_a' ) ) ] )
% 0.42/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  resolution(
% 0.42/1.06  clause( 15, [ ~( 'c_lessequals'( 'v_S', 'v_A', 'tc_set'( 't_a' ) ) ) ] )
% 0.42/1.06  , clause( 4, [ ~( 'c_in'( 'c_Tarski_Olub'( 'v_S', 'v_cl', 't_a' ), 'v_A', 
% 0.42/1.06    't_a' ) ) ] )
% 0.42/1.06  , 0, clause( 3, [ ~( 'c_lessequals'( X, 'v_A', 'tc_set'( 't_a' ) ) ), 
% 0.42/1.06    'c_in'( 'c_Tarski_Olub'( X, 'v_cl', 't_a' ), 'v_A', 't_a' ) ] )
% 0.42/1.06  , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_S' )] )).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  resolution(
% 0.42/1.06  clause( 16, [] )
% 0.42/1.06  , clause( 15, [ ~( 'c_lessequals'( 'v_S', 'v_A', 'tc_set'( 't_a' ) ) ) ] )
% 0.42/1.06  , 0, clause( 0, [ 'c_lessequals'( 'v_S', 'v_A', 'tc_set'( 't_a' ) ) ] )
% 0.42/1.06  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  subsumption(
% 0.42/1.06  clause( 5, [] )
% 0.42/1.06  , clause( 16, [] )
% 0.42/1.06  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  end.
% 0.42/1.06  
% 0.42/1.06  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.06  
% 0.42/1.06  Memory use:
% 0.42/1.06  
% 0.42/1.06  space for terms:        138
% 0.42/1.06  space for clauses:      520
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  clauses generated:      8
% 0.42/1.06  clauses kept:           6
% 0.42/1.06  clauses selected:       4
% 0.42/1.06  clauses deleted:        1
% 0.42/1.06  clauses inuse deleted:  0
% 0.42/1.06  
% 0.42/1.06  subsentry:          15
% 0.42/1.06  literals s-matched: 7
% 0.42/1.06  literals matched:   7
% 0.42/1.06  full subsumption:   0
% 0.42/1.06  
% 0.42/1.06  checksum:           468674400
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  Bliksem ended
%------------------------------------------------------------------------------