TSTP Solution File: KRS163+1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : KRS163+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n029.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 02:42:30 EDT 2022

% Result   : Theorem 0.72s 1.11s
% Output   : Refutation 0.72s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : KRS163+1 : TPTP v8.1.0. Released v3.1.0.
% 0.13/0.14  % Command  : bliksem %s
% 0.13/0.35  % Computer : n029.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % DateTime : Tue Jun  7 16:35:05 EDT 2022
% 0.21/0.35  % CPUTime  : 
% 0.72/1.11  *** allocated 10000 integers for termspace/termends
% 0.72/1.11  *** allocated 10000 integers for clauses
% 0.72/1.11  *** allocated 10000 integers for justifications
% 0.72/1.11  Bliksem 1.12
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  Automatic Strategy Selection
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  Clauses:
% 0.72/1.11  
% 0.72/1.11  { ! Y = X, ! cA( Y ), cA( X ) }.
% 0.72/1.11  { ! Y = X, ! cB( Y ), cB( X ) }.
% 0.72/1.11  { ! Y = X, ! cowlNothing( Y ), cowlNothing( X ) }.
% 0.72/1.11  { ! Y = X, ! cowlThing( Y ), cowlThing( X ) }.
% 0.72/1.11  { ! Y = X, ! xsd_integer( Y ), xsd_integer( X ) }.
% 0.72/1.11  { ! Y = X, ! xsd_string( Y ), xsd_string( X ) }.
% 0.72/1.11  { cowlThing( X ) }.
% 0.72/1.11  { ! cowlNothing( X ) }.
% 0.72/1.11  { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.72/1.11  { xsd_integer( X ), xsd_string( X ) }.
% 0.72/1.11  { cA( ia ) }.
% 0.72/1.11  { cowlThing( ia ) }.
% 0.72/1.11  { cB( ib ) }.
% 0.72/1.11  { cowlThing( ib ) }.
% 0.72/1.11  { ! cB( X ), ! cA( X ) }.
% 0.72/1.11  { ! cowlThing( skol1 ), cowlNothing( skol1 ), alpha1( skol2 ), ! 
% 0.72/1.11    xsd_integer( skol2 ), ! cowlThing( ia ), ! cowlThing( ib ), ia = ib }.
% 0.72/1.11  { ! cowlThing( skol1 ), cowlNothing( skol1 ), alpha1( skol2 ), ! xsd_string
% 0.72/1.11    ( skol2 ), ! cowlThing( ia ), ! cowlThing( ib ), ia = ib }.
% 0.72/1.11  { ! alpha1( X ), xsd_string( X ) }.
% 0.72/1.11  { ! alpha1( X ), xsd_integer( X ) }.
% 0.72/1.11  { ! xsd_string( X ), ! xsd_integer( X ), alpha1( X ) }.
% 0.72/1.11  
% 0.72/1.11  percentage equality = 0.173913, percentage horn = 0.823529
% 0.72/1.11  This is a problem with some equality
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  Options Used:
% 0.72/1.11  
% 0.72/1.11  useres =            1
% 0.72/1.11  useparamod =        1
% 0.72/1.11  useeqrefl =         1
% 0.72/1.11  useeqfact =         1
% 0.72/1.11  usefactor =         1
% 0.72/1.11  usesimpsplitting =  0
% 0.72/1.11  usesimpdemod =      5
% 0.72/1.11  usesimpres =        3
% 0.72/1.11  
% 0.72/1.11  resimpinuse      =  1000
% 0.72/1.11  resimpclauses =     20000
% 0.72/1.11  substype =          eqrewr
% 0.72/1.11  backwardsubs =      1
% 0.72/1.11  selectoldest =      5
% 0.72/1.11  
% 0.72/1.11  litorderings [0] =  split
% 0.72/1.11  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.72/1.11  
% 0.72/1.11  termordering =      kbo
% 0.72/1.11  
% 0.72/1.11  litapriori =        0
% 0.72/1.11  termapriori =       1
% 0.72/1.11  litaposteriori =    0
% 0.72/1.11  termaposteriori =   0
% 0.72/1.11  demodaposteriori =  0
% 0.72/1.11  ordereqreflfact =   0
% 0.72/1.11  
% 0.72/1.11  litselect =         negord
% 0.72/1.11  
% 0.72/1.11  maxweight =         15
% 0.72/1.11  maxdepth =          30000
% 0.72/1.11  maxlength =         115
% 0.72/1.11  maxnrvars =         195
% 0.72/1.11  excuselevel =       1
% 0.72/1.11  increasemaxweight = 1
% 0.72/1.11  
% 0.72/1.11  maxselected =       10000000
% 0.72/1.11  maxnrclauses =      10000000
% 0.72/1.11  
% 0.72/1.11  showgenerated =    0
% 0.72/1.11  showkept =         0
% 0.72/1.11  showselected =     0
% 0.72/1.11  showdeleted =      0
% 0.72/1.11  showresimp =       1
% 0.72/1.11  showstatus =       2000
% 0.72/1.11  
% 0.72/1.11  prologoutput =     0
% 0.72/1.11  nrgoals =          5000000
% 0.72/1.11  totalproof =       1
% 0.72/1.11  
% 0.72/1.11  Symbols occurring in the translation:
% 0.72/1.11  
% 0.72/1.11  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.72/1.11  .  [1, 2]      (w:1, o:25, a:1, s:1, b:0), 
% 0.72/1.11  !  [4, 1]      (w:0, o:13, a:1, s:1, b:0), 
% 0.72/1.11  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.72/1.11  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.72/1.11  cA  [37, 1]      (w:1, o:18, a:1, s:1, b:0), 
% 0.72/1.11  cB  [38, 1]      (w:1, o:19, a:1, s:1, b:0), 
% 0.72/1.11  cowlNothing  [39, 1]      (w:1, o:20, a:1, s:1, b:0), 
% 0.72/1.11  cowlThing  [40, 1]      (w:1, o:21, a:1, s:1, b:0), 
% 0.72/1.11  xsd_integer  [41, 1]      (w:1, o:22, a:1, s:1, b:0), 
% 0.72/1.11  xsd_string  [42, 1]      (w:1, o:23, a:1, s:1, b:0), 
% 0.72/1.11  ia  [44, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.72/1.11  ib  [45, 0]      (w:1, o:10, a:1, s:1, b:0), 
% 0.72/1.11  alpha1  [46, 1]      (w:1, o:24, a:1, s:1, b:1), 
% 0.72/1.11  skol1  [47, 0]      (w:1, o:11, a:1, s:1, b:1), 
% 0.72/1.11  skol2  [48, 0]      (w:1, o:12, a:1, s:1, b:1).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  Starting Search:
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  Bliksems!, er is een bewijs:
% 0.72/1.11  % SZS status Theorem
% 0.72/1.11  % SZS output start Refutation
% 0.72/1.11  
% 0.72/1.11  (1) {G0,W7,D2,L3,V2,M3} I { ! Y = X, ! cB( Y ), cB( X ) }.
% 0.72/1.11  (6) {G0,W2,D2,L1,V1,M1} I { cowlThing( X ) }.
% 0.72/1.11  (7) {G0,W2,D2,L1,V1,M1} I { ! cowlNothing( X ) }.
% 0.72/1.11  (8) {G0,W4,D2,L2,V1,M2} I { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.72/1.11  (9) {G0,W4,D2,L2,V1,M2} I { xsd_integer( X ), xsd_string( X ) }.
% 0.72/1.11  (10) {G0,W2,D2,L1,V0,M1} I { cA( ia ) }.
% 0.72/1.11  (11) {G0,W2,D2,L1,V0,M1} I { cB( ib ) }.
% 0.72/1.11  (12) {G0,W4,D2,L2,V1,M2} I { ! cB( X ), ! cA( X ) }.
% 0.72/1.11  (13) {G1,W13,D2,L6,V0,M6} I;r(6) { cowlNothing( skol1 ), alpha1( skol2 ), !
% 0.72/1.11     xsd_integer( skol2 ), ! cowlThing( ia ), ! cowlThing( ib ), ib ==> ia
% 0.72/1.11     }.
% 0.72/1.11  (14) {G1,W13,D2,L6,V0,M6} I;r(6) { cowlNothing( skol1 ), alpha1( skol2 ), !
% 0.72/1.11     xsd_string( skol2 ), ! cowlThing( ia ), ! cowlThing( ib ), ib ==> ia }.
% 0.72/1.11  (15) {G0,W4,D2,L2,V1,M2} I { ! alpha1( X ), xsd_string( X ) }.
% 0.72/1.11  (16) {G0,W4,D2,L2,V1,M2} I { ! alpha1( X ), xsd_integer( X ) }.
% 0.72/1.11  (20) {G1,W2,D2,L1,V0,M1} R(12,10) { ! cB( ia ) }.
% 0.72/1.11  (24) {G2,W5,D2,L2,V1,M2} R(1,20) { ! X = ia, ! cB( X ) }.
% 0.72/1.11  (26) {G1,W2,D2,L1,V1,M1} R(8,15);r(16) { ! alpha1( X ) }.
% 0.72/1.11  (28) {G3,W3,D2,L1,V0,M1} R(24,11) { ! ib ==> ia }.
% 0.72/1.11  (46) {G4,W2,D2,L1,V0,M1} S(13);r(7);r(26);r(6);r(6);r(28) { ! xsd_integer( 
% 0.72/1.11    skol2 ) }.
% 0.72/1.11  (49) {G5,W2,D2,L1,V0,M1} R(46,9) { xsd_string( skol2 ) }.
% 0.72/1.11  (52) {G6,W0,D0,L0,V0,M0} S(14);r(7);r(26);r(49);r(6);r(6);r(28) {  }.
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  % SZS output end Refutation
% 0.72/1.11  found a proof!
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  Unprocessed initial clauses:
% 0.72/1.11  
% 0.72/1.11  (54) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! cA( Y ), cA( X ) }.
% 0.72/1.11  (55) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! cB( Y ), cB( X ) }.
% 0.72/1.11  (56) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! cowlNothing( Y ), cowlNothing( X )
% 0.72/1.11     }.
% 0.72/1.11  (57) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! cowlThing( Y ), cowlThing( X ) }.
% 0.72/1.11  (58) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! xsd_integer( Y ), xsd_integer( X )
% 0.72/1.11     }.
% 0.72/1.11  (59) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! xsd_string( Y ), xsd_string( X ) }.
% 0.72/1.11  (60) {G0,W2,D2,L1,V1,M1}  { cowlThing( X ) }.
% 0.72/1.11  (61) {G0,W2,D2,L1,V1,M1}  { ! cowlNothing( X ) }.
% 0.72/1.11  (62) {G0,W4,D2,L2,V1,M2}  { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.72/1.11  (63) {G0,W4,D2,L2,V1,M2}  { xsd_integer( X ), xsd_string( X ) }.
% 0.72/1.11  (64) {G0,W2,D2,L1,V0,M1}  { cA( ia ) }.
% 0.72/1.11  (65) {G0,W2,D2,L1,V0,M1}  { cowlThing( ia ) }.
% 0.72/1.11  (66) {G0,W2,D2,L1,V0,M1}  { cB( ib ) }.
% 0.72/1.11  (67) {G0,W2,D2,L1,V0,M1}  { cowlThing( ib ) }.
% 0.72/1.11  (68) {G0,W4,D2,L2,V1,M2}  { ! cB( X ), ! cA( X ) }.
% 0.72/1.11  (69) {G0,W15,D2,L7,V0,M7}  { ! cowlThing( skol1 ), cowlNothing( skol1 ), 
% 0.72/1.11    alpha1( skol2 ), ! xsd_integer( skol2 ), ! cowlThing( ia ), ! cowlThing( 
% 0.72/1.11    ib ), ia = ib }.
% 0.72/1.11  (70) {G0,W15,D2,L7,V0,M7}  { ! cowlThing( skol1 ), cowlNothing( skol1 ), 
% 0.72/1.11    alpha1( skol2 ), ! xsd_string( skol2 ), ! cowlThing( ia ), ! cowlThing( 
% 0.72/1.11    ib ), ia = ib }.
% 0.72/1.11  (71) {G0,W4,D2,L2,V1,M2}  { ! alpha1( X ), xsd_string( X ) }.
% 0.72/1.11  (72) {G0,W4,D2,L2,V1,M2}  { ! alpha1( X ), xsd_integer( X ) }.
% 0.72/1.11  (73) {G0,W6,D2,L3,V1,M3}  { ! xsd_string( X ), ! xsd_integer( X ), alpha1( 
% 0.72/1.11    X ) }.
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  Total Proof:
% 0.72/1.11  
% 0.72/1.11  subsumption: (1) {G0,W7,D2,L3,V2,M3} I { ! Y = X, ! cB( Y ), cB( X ) }.
% 0.72/1.11  parent0: (55) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! cB( Y ), cB( X ) }.
% 0.72/1.11  substitution0:
% 0.72/1.11     X := X
% 0.72/1.11     Y := Y
% 0.72/1.11  end
% 0.72/1.11  permutation0:
% 0.72/1.11     0 ==> 0
% 0.72/1.11     1 ==> 1
% 0.72/1.11     2 ==> 2
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  subsumption: (6) {G0,W2,D2,L1,V1,M1} I { cowlThing( X ) }.
% 0.72/1.11  parent0: (60) {G0,W2,D2,L1,V1,M1}  { cowlThing( X ) }.
% 0.72/1.11  substitution0:
% 0.72/1.11     X := X
% 0.72/1.11  end
% 0.72/1.11  permutation0:
% 0.72/1.11     0 ==> 0
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  subsumption: (7) {G0,W2,D2,L1,V1,M1} I { ! cowlNothing( X ) }.
% 0.72/1.11  parent0: (61) {G0,W2,D2,L1,V1,M1}  { ! cowlNothing( X ) }.
% 0.72/1.11  substitution0:
% 0.72/1.11     X := X
% 0.72/1.11  end
% 0.72/1.11  permutation0:
% 0.72/1.11     0 ==> 0
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  subsumption: (8) {G0,W4,D2,L2,V1,M2} I { ! xsd_string( X ), ! xsd_integer( 
% 0.72/1.11    X ) }.
% 0.72/1.11  parent0: (62) {G0,W4,D2,L2,V1,M2}  { ! xsd_string( X ), ! xsd_integer( X )
% 0.72/1.11     }.
% 0.72/1.11  substitution0:
% 0.72/1.11     X := X
% 0.72/1.11  end
% 0.72/1.11  permutation0:
% 0.72/1.11     0 ==> 0
% 0.72/1.11     1 ==> 1
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  subsumption: (9) {G0,W4,D2,L2,V1,M2} I { xsd_integer( X ), xsd_string( X )
% 0.72/1.11     }.
% 0.72/1.11  parent0: (63) {G0,W4,D2,L2,V1,M2}  { xsd_integer( X ), xsd_string( X ) }.
% 0.72/1.11  substitution0:
% 0.72/1.11     X := X
% 0.72/1.11  end
% 0.72/1.11  permutation0:
% 0.72/1.11     0 ==> 0
% 0.72/1.11     1 ==> 1
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  subsumption: (10) {G0,W2,D2,L1,V0,M1} I { cA( ia ) }.
% 0.72/1.11  parent0: (64) {G0,W2,D2,L1,V0,M1}  { cA( ia ) }.
% 0.72/1.11  substitution0:
% 0.72/1.11  end
% 0.72/1.11  permutation0:
% 0.72/1.11     0 ==> 0
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  subsumption: (11) {G0,W2,D2,L1,V0,M1} I { cB( ib ) }.
% 0.72/1.11  parent0: (66) {G0,W2,D2,L1,V0,M1}  { cB( ib ) }.
% 0.72/1.11  substitution0:
% 0.72/1.11  end
% 0.72/1.11  permutation0:
% 0.72/1.11     0 ==> 0
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  subsumption: (12) {G0,W4,D2,L2,V1,M2} I { ! cB( X ), ! cA( X ) }.
% 0.72/1.11  parent0: (68) {G0,W4,D2,L2,V1,M2}  { ! cB( X ), ! cA( X ) }.
% 0.72/1.11  substitution0:
% 0.72/1.11     X := X
% 0.72/1.11  end
% 0.72/1.11  permutation0:
% 0.72/1.11     0 ==> 0
% 0.72/1.11     1 ==> 1
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  resolution: (129) {G1,W13,D2,L6,V0,M6}  { cowlNothing( skol1 ), alpha1( 
% 0.72/1.11    skol2 ), ! xsd_integer( skol2 ), ! cowlThing( ia ), ! cowlThing( ib ), ia
% 0.72/1.11     = ib }.
% 0.72/1.11  parent0[0]: (69) {G0,W15,D2,L7,V0,M7}  { ! cowlThing( skol1 ), cowlNothing
% 0.72/1.11    ( skol1 ), alpha1( skol2 ), ! xsd_integer( skol2 ), ! cowlThing( ia ), ! 
% 0.72/1.11    cowlThing( ib ), ia = ib }.
% 0.72/1.11  parent1[0]: (6) {G0,W2,D2,L1,V1,M1} I { cowlThing( X ) }.
% 0.72/1.11  substitution0:
% 0.72/1.11  end
% 0.72/1.11  substitution1:
% 0.72/1.11     X := skol1
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  eqswap: (134) {G1,W13,D2,L6,V0,M6}  { ib = ia, cowlNothing( skol1 ), alpha1
% 0.72/1.11    ( skol2 ), ! xsd_integer( skol2 ), ! cowlThing( ia ), ! cowlThing( ib )
% 0.72/1.11     }.
% 0.72/1.11  parent0[5]: (129) {G1,W13,D2,L6,V0,M6}  { cowlNothing( skol1 ), alpha1( 
% 0.72/1.11    skol2 ), ! xsd_integer( skol2 ), ! cowlThing( ia ), ! cowlThing( ib ), ia
% 0.72/1.11     = ib }.
% 0.72/1.11  substitution0:
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  subsumption: (13) {G1,W13,D2,L6,V0,M6} I;r(6) { cowlNothing( skol1 ), 
% 0.72/1.11    alpha1( skol2 ), ! xsd_integer( skol2 ), ! cowlThing( ia ), ! cowlThing( 
% 0.72/1.11    ib ), ib ==> ia }.
% 0.72/1.11  parent0: (134) {G1,W13,D2,L6,V0,M6}  { ib = ia, cowlNothing( skol1 ), 
% 0.72/1.11    alpha1( skol2 ), ! xsd_integer( skol2 ), ! cowlThing( ia ), ! cowlThing( 
% 0.72/1.11    ib ) }.
% 0.72/1.11  substitution0:
% 0.72/1.11  end
% 0.72/1.11  permutation0:
% 0.72/1.11     0 ==> 5
% 0.72/1.11     1 ==> 0
% 0.72/1.11     2 ==> 1
% 0.72/1.11     3 ==> 2
% 0.72/1.11     4 ==> 3
% 0.72/1.11     5 ==> 4
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  resolution: (159) {G1,W13,D2,L6,V0,M6}  { cowlNothing( skol1 ), alpha1( 
% 0.72/1.11    skol2 ), ! xsd_string( skol2 ), ! cowlThing( ia ), ! cowlThing( ib ), ia 
% 0.72/1.11    = ib }.
% 0.72/1.11  parent0[0]: (70) {G0,W15,D2,L7,V0,M7}  { ! cowlThing( skol1 ), cowlNothing
% 0.72/1.11    ( skol1 ), alpha1( skol2 ), ! xsd_string( skol2 ), ! cowlThing( ia ), ! 
% 0.72/1.11    cowlThing( ib ), ia = ib }.
% 0.72/1.11  parent1[0]: (6) {G0,W2,D2,L1,V1,M1} I { cowlThing( X ) }.
% 0.72/1.11  substitution0:
% 0.72/1.11  end
% 0.72/1.11  substitution1:
% 0.72/1.11     X := skol1
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  eqswap: (164) {G1,W13,D2,L6,V0,M6}  { ib = ia, cowlNothing( skol1 ), alpha1
% 0.72/1.11    ( skol2 ), ! xsd_string( skol2 ), ! cowlThing( ia ), ! cowlThing( ib )
% 0.72/1.11     }.
% 0.72/1.11  parent0[5]: (159) {G1,W13,D2,L6,V0,M6}  { cowlNothing( skol1 ), alpha1( 
% 0.72/1.11    skol2 ), ! xsd_string( skol2 ), ! cowlThing( ia ), ! cowlThing( ib ), ia 
% 0.72/1.11    = ib }.
% 0.72/1.11  substitution0:
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  subsumption: (14) {G1,W13,D2,L6,V0,M6} I;r(6) { cowlNothing( skol1 ), 
% 0.72/1.11    alpha1( skol2 ), ! xsd_string( skol2 ), ! cowlThing( ia ), ! cowlThing( 
% 0.72/1.11    ib ), ib ==> ia }.
% 0.72/1.11  parent0: (164) {G1,W13,D2,L6,V0,M6}  { ib = ia, cowlNothing( skol1 ), 
% 0.72/1.11    alpha1( skol2 ), ! xsd_string( skol2 ), ! cowlThing( ia ), ! cowlThing( 
% 0.72/1.11    ib ) }.
% 0.72/1.11  substitution0:
% 0.72/1.11  end
% 0.72/1.11  permutation0:
% 0.72/1.11     0 ==> 5
% 0.72/1.11     1 ==> 0
% 0.72/1.11     2 ==> 1
% 0.72/1.11     3 ==> 2
% 0.72/1.11     4 ==> 3
% 0.72/1.11     5 ==> 4
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  subsumption: (15) {G0,W4,D2,L2,V1,M2} I { ! alpha1( X ), xsd_string( X )
% 0.72/1.11     }.
% 0.72/1.11  parent0: (71) {G0,W4,D2,L2,V1,M2}  { ! alpha1( X ), xsd_string( X ) }.
% 0.72/1.11  substitution0:
% 0.72/1.11     X := X
% 0.72/1.11  end
% 0.72/1.11  permutation0:
% 0.72/1.11     0 ==> 0
% 0.72/1.11     1 ==> 1
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  subsumption: (16) {G0,W4,D2,L2,V1,M2} I { ! alpha1( X ), xsd_integer( X )
% 0.72/1.11     }.
% 0.72/1.11  parent0: (72) {G0,W4,D2,L2,V1,M2}  { ! alpha1( X ), xsd_integer( X ) }.
% 0.72/1.11  substitution0:
% 0.72/1.11     X := X
% 0.72/1.11  end
% 0.72/1.11  permutation0:
% 0.72/1.11     0 ==> 0
% 0.72/1.11     1 ==> 1
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  resolution: (181) {G1,W2,D2,L1,V0,M1}  { ! cB( ia ) }.
% 0.72/1.11  parent0[1]: (12) {G0,W4,D2,L2,V1,M2} I { ! cB( X ), ! cA( X ) }.
% 0.72/1.11  parent1[0]: (10) {G0,W2,D2,L1,V0,M1} I { cA( ia ) }.
% 0.72/1.11  substitution0:
% 0.72/1.11     X := ia
% 0.72/1.11  end
% 0.72/1.11  substitution1:
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  subsumption: (20) {G1,W2,D2,L1,V0,M1} R(12,10) { ! cB( ia ) }.
% 0.72/1.11  parent0: (181) {G1,W2,D2,L1,V0,M1}  { ! cB( ia ) }.
% 0.72/1.11  substitution0:
% 0.72/1.11  end
% 0.72/1.11  permutation0:
% 0.72/1.11     0 ==> 0
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  eqswap: (182) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! cB( X ), cB( Y ) }.
% 0.72/1.11  parent0[0]: (1) {G0,W7,D2,L3,V2,M3} I { ! Y = X, ! cB( Y ), cB( X ) }.
% 0.72/1.11  substitution0:
% 0.72/1.11     X := Y
% 0.72/1.11     Y := X
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  resolution: (183) {G1,W5,D2,L2,V1,M2}  { ! ia = X, ! cB( X ) }.
% 0.72/1.11  parent0[0]: (20) {G1,W2,D2,L1,V0,M1} R(12,10) { ! cB( ia ) }.
% 0.72/1.11  parent1[2]: (182) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! cB( X ), cB( Y ) }.
% 0.72/1.11  substitution0:
% 0.72/1.11  end
% 0.72/1.11  substitution1:
% 0.72/1.11     X := X
% 0.72/1.11     Y := ia
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  eqswap: (184) {G1,W5,D2,L2,V1,M2}  { ! X = ia, ! cB( X ) }.
% 0.72/1.11  parent0[0]: (183) {G1,W5,D2,L2,V1,M2}  { ! ia = X, ! cB( X ) }.
% 0.72/1.11  substitution0:
% 0.72/1.11     X := X
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  subsumption: (24) {G2,W5,D2,L2,V1,M2} R(1,20) { ! X = ia, ! cB( X ) }.
% 0.72/1.11  parent0: (184) {G1,W5,D2,L2,V1,M2}  { ! X = ia, ! cB( X ) }.
% 0.72/1.11  substitution0:
% 0.72/1.11     X := X
% 0.72/1.11  end
% 0.72/1.11  permutation0:
% 0.72/1.11     0 ==> 0
% 0.72/1.11     1 ==> 1
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  resolution: (185) {G1,W4,D2,L2,V1,M2}  { ! xsd_integer( X ), ! alpha1( X )
% 0.72/1.11     }.
% 0.72/1.11  parent0[0]: (8) {G0,W4,D2,L2,V1,M2} I { ! xsd_string( X ), ! xsd_integer( X
% 0.72/1.11     ) }.
% 0.72/1.11  parent1[1]: (15) {G0,W4,D2,L2,V1,M2} I { ! alpha1( X ), xsd_string( X ) }.
% 0.72/1.11  substitution0:
% 0.72/1.11     X := X
% 0.72/1.11  end
% 0.72/1.11  substitution1:
% 0.72/1.11     X := X
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  resolution: (186) {G1,W4,D2,L2,V1,M2}  { ! alpha1( X ), ! alpha1( X ) }.
% 0.72/1.11  parent0[0]: (185) {G1,W4,D2,L2,V1,M2}  { ! xsd_integer( X ), ! alpha1( X )
% 0.72/1.11     }.
% 0.72/1.11  parent1[1]: (16) {G0,W4,D2,L2,V1,M2} I { ! alpha1( X ), xsd_integer( X )
% 0.72/1.11     }.
% 0.72/1.11  substitution0:
% 0.72/1.11     X := X
% 0.72/1.11  end
% 0.72/1.11  substitution1:
% 0.72/1.11     X := X
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  factor: (187) {G1,W2,D2,L1,V1,M1}  { ! alpha1( X ) }.
% 0.72/1.11  parent0[0, 1]: (186) {G1,W4,D2,L2,V1,M2}  { ! alpha1( X ), ! alpha1( X )
% 0.72/1.11     }.
% 0.72/1.11  substitution0:
% 0.72/1.11     X := X
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  subsumption: (26) {G1,W2,D2,L1,V1,M1} R(8,15);r(16) { ! alpha1( X ) }.
% 0.72/1.11  parent0: (187) {G1,W2,D2,L1,V1,M1}  { ! alpha1( X ) }.
% 0.72/1.11  substitution0:
% 0.72/1.11     X := X
% 0.72/1.11  end
% 0.72/1.11  permutation0:
% 0.72/1.11     0 ==> 0
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  eqswap: (188) {G2,W5,D2,L2,V1,M2}  { ! ia = X, ! cB( X ) }.
% 0.72/1.11  parent0[0]: (24) {G2,W5,D2,L2,V1,M2} R(1,20) { ! X = ia, ! cB( X ) }.
% 0.72/1.11  substitution0:
% 0.72/1.11     X := X
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  resolution: (189) {G1,W3,D2,L1,V0,M1}  { ! ia = ib }.
% 0.72/1.11  parent0[1]: (188) {G2,W5,D2,L2,V1,M2}  { ! ia = X, ! cB( X ) }.
% 0.72/1.11  parent1[0]: (11) {G0,W2,D2,L1,V0,M1} I { cB( ib ) }.
% 0.72/1.11  substitution0:
% 0.72/1.11     X := ib
% 0.72/1.11  end
% 0.72/1.11  substitution1:
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  eqswap: (190) {G1,W3,D2,L1,V0,M1}  { ! ib = ia }.
% 0.72/1.11  parent0[0]: (189) {G1,W3,D2,L1,V0,M1}  { ! ia = ib }.
% 0.72/1.11  substitution0:
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  subsumption: (28) {G3,W3,D2,L1,V0,M1} R(24,11) { ! ib ==> ia }.
% 0.72/1.11  parent0: (190) {G1,W3,D2,L1,V0,M1}  { ! ib = ia }.
% 0.72/1.11  substitution0:
% 0.72/1.11  end
% 0.72/1.11  permutation0:
% 0.72/1.11     0 ==> 0
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  resolution: (193) {G1,W11,D2,L5,V0,M5}  { alpha1( skol2 ), ! xsd_integer( 
% 0.72/1.11    skol2 ), ! cowlThing( ia ), ! cowlThing( ib ), ib ==> ia }.
% 0.72/1.11  parent0[0]: (7) {G0,W2,D2,L1,V1,M1} I { ! cowlNothing( X ) }.
% 0.72/1.11  parent1[0]: (13) {G1,W13,D2,L6,V0,M6} I;r(6) { cowlNothing( skol1 ), alpha1
% 0.72/1.11    ( skol2 ), ! xsd_integer( skol2 ), ! cowlThing( ia ), ! cowlThing( ib ), 
% 0.72/1.11    ib ==> ia }.
% 0.72/1.11  substitution0:
% 0.72/1.11     X := skol1
% 0.72/1.11  end
% 0.72/1.11  substitution1:
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  resolution: (194) {G2,W9,D2,L4,V0,M4}  { ! xsd_integer( skol2 ), ! 
% 0.72/1.11    cowlThing( ia ), ! cowlThing( ib ), ib ==> ia }.
% 0.72/1.11  parent0[0]: (26) {G1,W2,D2,L1,V1,M1} R(8,15);r(16) { ! alpha1( X ) }.
% 0.72/1.11  parent1[0]: (193) {G1,W11,D2,L5,V0,M5}  { alpha1( skol2 ), ! xsd_integer( 
% 0.72/1.11    skol2 ), ! cowlThing( ia ), ! cowlThing( ib ), ib ==> ia }.
% 0.72/1.11  substitution0:
% 0.72/1.11     X := skol2
% 0.72/1.11  end
% 0.72/1.11  substitution1:
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  resolution: (195) {G1,W7,D2,L3,V0,M3}  { ! xsd_integer( skol2 ), ! 
% 0.72/1.11    cowlThing( ib ), ib ==> ia }.
% 0.72/1.11  parent0[1]: (194) {G2,W9,D2,L4,V0,M4}  { ! xsd_integer( skol2 ), ! 
% 0.72/1.11    cowlThing( ia ), ! cowlThing( ib ), ib ==> ia }.
% 0.72/1.11  parent1[0]: (6) {G0,W2,D2,L1,V1,M1} I { cowlThing( X ) }.
% 0.72/1.11  substitution0:
% 0.72/1.11  end
% 0.72/1.11  substitution1:
% 0.72/1.11     X := ia
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  resolution: (197) {G1,W5,D2,L2,V0,M2}  { ! xsd_integer( skol2 ), ib ==> ia
% 0.72/1.11     }.
% 0.72/1.11  parent0[1]: (195) {G1,W7,D2,L3,V0,M3}  { ! xsd_integer( skol2 ), ! 
% 0.72/1.11    cowlThing( ib ), ib ==> ia }.
% 0.72/1.11  parent1[0]: (6) {G0,W2,D2,L1,V1,M1} I { cowlThing( X ) }.
% 0.72/1.11  substitution0:
% 0.72/1.11  end
% 0.72/1.11  substitution1:
% 0.72/1.11     X := ib
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  resolution: (198) {G2,W2,D2,L1,V0,M1}  { ! xsd_integer( skol2 ) }.
% 0.72/1.11  parent0[0]: (28) {G3,W3,D2,L1,V0,M1} R(24,11) { ! ib ==> ia }.
% 0.72/1.11  parent1[1]: (197) {G1,W5,D2,L2,V0,M2}  { ! xsd_integer( skol2 ), ib ==> ia
% 0.72/1.11     }.
% 0.72/1.11  substitution0:
% 0.72/1.11  end
% 0.72/1.11  substitution1:
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  subsumption: (46) {G4,W2,D2,L1,V0,M1} S(13);r(7);r(26);r(6);r(6);r(28) { ! 
% 0.72/1.11    xsd_integer( skol2 ) }.
% 0.72/1.11  parent0: (198) {G2,W2,D2,L1,V0,M1}  { ! xsd_integer( skol2 ) }.
% 0.72/1.11  substitution0:
% 0.72/1.11  end
% 0.72/1.11  permutation0:
% 0.72/1.11     0 ==> 0
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  resolution: (199) {G1,W2,D2,L1,V0,M1}  { xsd_string( skol2 ) }.
% 0.72/1.11  parent0[0]: (46) {G4,W2,D2,L1,V0,M1} S(13);r(7);r(26);r(6);r(6);r(28) { ! 
% 0.72/1.11    xsd_integer( skol2 ) }.
% 0.72/1.11  parent1[0]: (9) {G0,W4,D2,L2,V1,M2} I { xsd_integer( X ), xsd_string( X )
% 0.72/1.11     }.
% 0.72/1.11  substitution0:
% 0.72/1.11  end
% 0.72/1.11  substitution1:
% 0.72/1.11     X := skol2
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  subsumption: (49) {G5,W2,D2,L1,V0,M1} R(46,9) { xsd_string( skol2 ) }.
% 0.72/1.11  parent0: (199) {G1,W2,D2,L1,V0,M1}  { xsd_string( skol2 ) }.
% 0.72/1.11  substitution0:
% 0.72/1.11  end
% 0.72/1.11  permutation0:
% 0.72/1.11     0 ==> 0
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  resolution: (202) {G1,W11,D2,L5,V0,M5}  { alpha1( skol2 ), ! xsd_string( 
% 0.72/1.11    skol2 ), ! cowlThing( ia ), ! cowlThing( ib ), ib ==> ia }.
% 0.72/1.11  parent0[0]: (7) {G0,W2,D2,L1,V1,M1} I { ! cowlNothing( X ) }.
% 0.72/1.11  parent1[0]: (14) {G1,W13,D2,L6,V0,M6} I;r(6) { cowlNothing( skol1 ), alpha1
% 0.72/1.11    ( skol2 ), ! xsd_string( skol2 ), ! cowlThing( ia ), ! cowlThing( ib ), 
% 0.72/1.11    ib ==> ia }.
% 0.72/1.11  substitution0:
% 0.72/1.11     X := skol1
% 0.72/1.11  end
% 0.72/1.11  substitution1:
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  resolution: (203) {G2,W9,D2,L4,V0,M4}  { ! xsd_string( skol2 ), ! cowlThing
% 0.72/1.11    ( ia ), ! cowlThing( ib ), ib ==> ia }.
% 0.72/1.11  parent0[0]: (26) {G1,W2,D2,L1,V1,M1} R(8,15);r(16) { ! alpha1( X ) }.
% 0.72/1.11  parent1[0]: (202) {G1,W11,D2,L5,V0,M5}  { alpha1( skol2 ), ! xsd_string( 
% 0.72/1.11    skol2 ), ! cowlThing( ia ), ! cowlThing( ib ), ib ==> ia }.
% 0.72/1.11  substitution0:
% 0.72/1.11     X := skol2
% 0.72/1.11  end
% 0.72/1.11  substitution1:
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  resolution: (204) {G3,W7,D2,L3,V0,M3}  { ! cowlThing( ia ), ! cowlThing( ib
% 0.72/1.11     ), ib ==> ia }.
% 0.72/1.11  parent0[0]: (203) {G2,W9,D2,L4,V0,M4}  { ! xsd_string( skol2 ), ! cowlThing
% 0.72/1.11    ( ia ), ! cowlThing( ib ), ib ==> ia }.
% 0.72/1.11  parent1[0]: (49) {G5,W2,D2,L1,V0,M1} R(46,9) { xsd_string( skol2 ) }.
% 0.72/1.11  substitution0:
% 0.72/1.11  end
% 0.72/1.11  substitution1:
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  resolution: (205) {G1,W5,D2,L2,V0,M2}  { ! cowlThing( ib ), ib ==> ia }.
% 0.72/1.11  parent0[0]: (204) {G3,W7,D2,L3,V0,M3}  { ! cowlThing( ia ), ! cowlThing( ib
% 0.72/1.11     ), ib ==> ia }.
% 0.72/1.11  parent1[0]: (6) {G0,W2,D2,L1,V1,M1} I { cowlThing( X ) }.
% 0.72/1.11  substitution0:
% 0.72/1.11  end
% 0.72/1.11  substitution1:
% 0.72/1.11     X := ia
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  resolution: (207) {G1,W3,D2,L1,V0,M1}  { ib ==> ia }.
% 0.72/1.11  parent0[0]: (205) {G1,W5,D2,L2,V0,M2}  { ! cowlThing( ib ), ib ==> ia }.
% 0.72/1.11  parent1[0]: (6) {G0,W2,D2,L1,V1,M1} I { cowlThing( X ) }.
% 0.72/1.11  substitution0:
% 0.72/1.11  end
% 0.72/1.11  substitution1:
% 0.72/1.11     X := ib
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  resolution: (208) {G2,W0,D0,L0,V0,M0}  {  }.
% 0.72/1.11  parent0[0]: (28) {G3,W3,D2,L1,V0,M1} R(24,11) { ! ib ==> ia }.
% 0.72/1.11  parent1[0]: (207) {G1,W3,D2,L1,V0,M1}  { ib ==> ia }.
% 0.72/1.11  substitution0:
% 0.72/1.11  end
% 0.72/1.11  substitution1:
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  subsumption: (52) {G6,W0,D0,L0,V0,M0} S(14);r(7);r(26);r(49);r(6);r(6);r(28
% 0.72/1.11    ) {  }.
% 0.72/1.11  parent0: (208) {G2,W0,D0,L0,V0,M0}  {  }.
% 0.72/1.11  substitution0:
% 0.72/1.11  end
% 0.72/1.11  permutation0:
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  Proof check complete!
% 0.72/1.11  
% 0.72/1.11  Memory use:
% 0.72/1.11  
% 0.72/1.11  space for terms:        890
% 0.72/1.11  space for clauses:      2268
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  clauses generated:      202
% 0.72/1.11  clauses kept:           53
% 0.72/1.11  clauses selected:       32
% 0.72/1.11  clauses deleted:        4
% 0.72/1.11  clauses inuse deleted:  0
% 0.72/1.11  
% 0.72/1.11  subsentry:          821
% 0.72/1.11  literals s-matched: 660
% 0.72/1.11  literals matched:   660
% 0.72/1.11  full subsumption:   89
% 0.72/1.11  
% 0.72/1.11  checksum:           292692
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  Bliksem ended
%------------------------------------------------------------------------------