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Bliksem---1.12.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : KRS139+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n024.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 02:42:24 EDT 2022

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

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : KRS139+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13  % Command  : bliksem %s
% 0.14/0.34  % Computer : n024.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % DateTime : Tue Jun  7 13:46:04 EDT 2022
% 0.14/0.34  % 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  
% 0.44/1.07  Clauses:
% 0.44/1.07  
% 0.44/1.07  { cowlThing( X ) }.
% 0.44/1.07  { ! cowlNothing( X ) }.
% 0.44/1.07  { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.44/1.07  { xsd_integer( X ), xsd_string( X ) }.
% 0.44/1.07  { ! rpath( X, Y ), rpath( Y, X ) }.
% 0.44/1.07  { cowlThing( iAntwerp ) }.
% 0.44/1.07  { cowlThing( iGhent ) }.
% 0.44/1.07  { rpath( iGhent, iAntwerp ) }.
% 0.44/1.07  { ! cowlThing( skol1 ), cowlNothing( skol1 ), alpha1( skol2 ), ! 
% 0.44/1.07    xsd_integer( skol2 ), ! cowlThing( iAntwerp ), ! rpath( iAntwerp, iGhent
% 0.44/1.07     ), ! cowlThing( iGhent ) }.
% 0.44/1.07  { ! cowlThing( skol1 ), cowlNothing( skol1 ), alpha1( skol2 ), ! xsd_string
% 0.44/1.07    ( skol2 ), ! cowlThing( iAntwerp ), ! rpath( iAntwerp, iGhent ), ! 
% 0.44/1.07    cowlThing( iGhent ) }.
% 0.44/1.07  { ! alpha1( X ), xsd_string( X ) }.
% 0.44/1.07  { ! alpha1( X ), xsd_integer( X ) }.
% 0.44/1.07  { ! xsd_string( X ), ! xsd_integer( X ), alpha1( X ) }.
% 0.44/1.07  
% 0.44/1.07  percentage equality = 0.000000, percentage horn = 0.700000
% 0.44/1.07  This a non-horn, non-equality problem
% 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 =        0
% 0.44/1.07  useeqrefl =         0
% 0.44/1.07  useeqfact =         0
% 0.44/1.07  usefactor =         1
% 0.44/1.07  usesimpsplitting =  0
% 0.44/1.07  usesimpdemod =      0
% 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 =          standard
% 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] =  liftord
% 0.44/1.07  
% 0.44/1.07  termordering =      none
% 0.44/1.07  
% 0.44/1.07  litapriori =        1
% 0.44/1.07  termapriori =       0
% 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 =         none
% 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 =     0
% 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:22, a:1, s:1, b:0), 
% 0.44/1.07  !  [4, 1]      (w:0, o:12, 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  cowlThing  [36, 1]      (w:1, o:17, a:1, s:1, b:0), 
% 0.44/1.07  cowlNothing  [37, 1]      (w:1, o:18, a:1, s:1, b:0), 
% 0.44/1.07  xsd_string  [38, 1]      (w:1, o:19, a:1, s:1, b:0), 
% 0.44/1.07  xsd_integer  [39, 1]      (w:1, o:20, a:1, s:1, b:0), 
% 0.44/1.07  rpath  [41, 2]      (w:1, o:46, a:1, s:1, b:0), 
% 0.44/1.07  iAntwerp  [42, 0]      (w:1, o:8, a:1, s:1, b:0), 
% 0.44/1.07  iGhent  [43, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.44/1.07  alpha1  [44, 1]      (w:1, o:21, a:1, s:1, b:0), 
% 0.44/1.07  skol1  [45, 0]      (w:1, o:10, a:1, s:1, b:0), 
% 0.44/1.07  skol2  [46, 0]      (w:1, o:11, 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 Theorem
% 0.44/1.07  % SZS output start Refutation
% 0.44/1.07  
% 0.44/1.07  (0) {G0,W2,D2,L1,V1,M1} I { cowlThing( X ) }.
% 0.44/1.07  (1) {G0,W2,D2,L1,V1,M1} I { ! cowlNothing( X ) }.
% 0.44/1.07  (2) {G0,W4,D2,L2,V1,M1} I { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.44/1.07  (3) {G0,W4,D2,L2,V1,M1} I { xsd_string( X ), xsd_integer( X ) }.
% 0.44/1.07  (4) {G0,W6,D2,L2,V2,M2} I { rpath( Y, X ), ! rpath( X, Y ) }.
% 0.44/1.07  (5) {G0,W3,D2,L1,V0,M1} I { rpath( iGhent, iAntwerp ) }.
% 0.44/1.07  (6) {G1,W13,D2,L6,V0,M1} I;r(0) { cowlNothing( skol1 ), ! xsd_integer( 
% 0.44/1.07    skol2 ), ! cowlThing( iAntwerp ), alpha1( skol2 ), ! cowlThing( iGhent )
% 0.44/1.07    , ! rpath( iAntwerp, iGhent ) }.
% 0.44/1.07  (7) {G1,W13,D2,L6,V0,M1} I;r(0) { cowlNothing( skol1 ), ! xsd_string( skol2
% 0.44/1.07     ), ! cowlThing( iAntwerp ), alpha1( skol2 ), ! cowlThing( iGhent ), ! 
% 0.44/1.07    rpath( iAntwerp, iGhent ) }.
% 0.44/1.07  (8) {G0,W4,D2,L2,V1,M1} I { xsd_string( X ), ! alpha1( X ) }.
% 0.44/1.07  (9) {G0,W4,D2,L2,V1,M1} I { xsd_integer( X ), ! alpha1( X ) }.
% 0.44/1.07  (10) {G1,W3,D2,L1,V0,M1} R(4,5) { rpath( iAntwerp, iGhent ) }.
% 0.44/1.07  (11) {G2,W4,D2,L2,V0,M1} S(7);r(1);r(0);r(0);r(10) { ! xsd_string( skol2 )
% 0.44/1.07    , alpha1( skol2 ) }.
% 0.44/1.07  (12) {G2,W4,D2,L2,V0,M1} S(6);r(1);r(0);r(0);r(10) { ! xsd_integer( skol2 )
% 0.44/1.07    , alpha1( skol2 ) }.
% 0.44/1.07  (13) {G3,W2,D2,L1,V0,M1} R(12,8);r(3) { xsd_string( skol2 ) }.
% 0.44/1.07  (14) {G4,W2,D2,L1,V0,M1} S(11);r(13) { alpha1( skol2 ) }.
% 0.44/1.07  (15) {G5,W2,D2,L1,V0,M1} R(14,9) { xsd_integer( skol2 ) }.
% 0.44/1.08  (16) {G6,W0,D0,L0,V0,M0} R(15,2);r(13) {  }.
% 0.44/1.08  
% 0.44/1.08  
% 0.44/1.08  % SZS output end Refutation
% 0.44/1.08  found a proof!
% 0.44/1.08  
% 0.44/1.08  
% 0.44/1.08  Unprocessed initial clauses:
% 0.44/1.08  
% 0.44/1.08  (18) {G0,W2,D2,L1,V1,M1}  { cowlThing( X ) }.
% 0.44/1.08  (19) {G0,W2,D2,L1,V1,M1}  { ! cowlNothing( X ) }.
% 0.44/1.08  (20) {G0,W4,D2,L2,V1,M2}  { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.44/1.08  (21) {G0,W4,D2,L2,V1,M2}  { xsd_integer( X ), xsd_string( X ) }.
% 0.44/1.08  (22) {G0,W6,D2,L2,V2,M2}  { ! rpath( X, Y ), rpath( Y, X ) }.
% 0.44/1.08  (23) {G0,W2,D2,L1,V0,M1}  { cowlThing( iAntwerp ) }.
% 0.44/1.08  (24) {G0,W2,D2,L1,V0,M1}  { cowlThing( iGhent ) }.
% 0.44/1.08  (25) {G0,W3,D2,L1,V0,M1}  { rpath( iGhent, iAntwerp ) }.
% 0.44/1.08  (26) {G0,W15,D2,L7,V0,M7}  { ! cowlThing( skol1 ), cowlNothing( skol1 ), 
% 0.44/1.08    alpha1( skol2 ), ! xsd_integer( skol2 ), ! cowlThing( iAntwerp ), ! rpath
% 0.44/1.08    ( iAntwerp, iGhent ), ! cowlThing( iGhent ) }.
% 0.44/1.08  (27) {G0,W15,D2,L7,V0,M7}  { ! cowlThing( skol1 ), cowlNothing( skol1 ), 
% 0.44/1.08    alpha1( skol2 ), ! xsd_string( skol2 ), ! cowlThing( iAntwerp ), ! rpath
% 0.44/1.08    ( iAntwerp, iGhent ), ! cowlThing( iGhent ) }.
% 0.44/1.08  (28) {G0,W4,D2,L2,V1,M2}  { ! alpha1( X ), xsd_string( X ) }.
% 0.44/1.08  (29) {G0,W4,D2,L2,V1,M2}  { ! alpha1( X ), xsd_integer( X ) }.
% 0.44/1.08  (30) {G0,W6,D2,L3,V1,M3}  { ! xsd_string( X ), ! xsd_integer( X ), alpha1( 
% 0.44/1.08    X ) }.
% 0.44/1.08  
% 0.44/1.08  
% 0.44/1.08  Total Proof:
% 0.44/1.08  
% 0.44/1.08  subsumption: (0) {G0,W2,D2,L1,V1,M1} I { cowlThing( X ) }.
% 0.44/1.08  parent0: (18) {G0,W2,D2,L1,V1,M1}  { cowlThing( X ) }.
% 0.44/1.08  substitution0:
% 0.44/1.08     X := X
% 0.44/1.08  end
% 0.44/1.08  permutation0:
% 0.44/1.08     0 ==> 0
% 0.44/1.08  end
% 0.44/1.08  
% 0.44/1.08  subsumption: (1) {G0,W2,D2,L1,V1,M1} I { ! cowlNothing( X ) }.
% 0.44/1.08  parent0: (19) {G0,W2,D2,L1,V1,M1}  { ! cowlNothing( X ) }.
% 0.44/1.08  substitution0:
% 0.44/1.08     X := X
% 0.44/1.08  end
% 0.44/1.08  permutation0:
% 0.44/1.08     0 ==> 0
% 0.44/1.08  end
% 0.44/1.08  
% 0.44/1.08  subsumption: (2) {G0,W4,D2,L2,V1,M1} I { ! xsd_string( X ), ! xsd_integer( 
% 0.44/1.08    X ) }.
% 0.44/1.08  parent0: (20) {G0,W4,D2,L2,V1,M2}  { ! xsd_string( X ), ! xsd_integer( X )
% 0.44/1.08     }.
% 0.44/1.08  substitution0:
% 0.44/1.08     X := X
% 0.44/1.08  end
% 0.44/1.08  permutation0:
% 0.44/1.08     0 ==> 0
% 0.44/1.08     1 ==> 1
% 0.44/1.08  end
% 0.44/1.08  
% 0.44/1.08  subsumption: (3) {G0,W4,D2,L2,V1,M1} I { xsd_string( X ), xsd_integer( X )
% 0.44/1.08     }.
% 0.44/1.08  parent0: (21) {G0,W4,D2,L2,V1,M2}  { xsd_integer( X ), xsd_string( X ) }.
% 0.44/1.08  substitution0:
% 0.44/1.08     X := X
% 0.44/1.08  end
% 0.44/1.08  permutation0:
% 0.44/1.08     0 ==> 1
% 0.44/1.08     1 ==> 0
% 0.44/1.08  end
% 0.44/1.08  
% 0.44/1.08  subsumption: (4) {G0,W6,D2,L2,V2,M2} I { rpath( Y, X ), ! rpath( X, Y ) }.
% 0.44/1.08  parent0: (22) {G0,W6,D2,L2,V2,M2}  { ! rpath( X, Y ), rpath( Y, X ) }.
% 0.44/1.08  substitution0:
% 0.44/1.08     X := X
% 0.44/1.08     Y := Y
% 0.44/1.08  end
% 0.44/1.08  permutation0:
% 0.44/1.08     0 ==> 1
% 0.44/1.08     1 ==> 0
% 0.44/1.08  end
% 0.44/1.08  
% 0.44/1.08  subsumption: (5) {G0,W3,D2,L1,V0,M1} I { rpath( iGhent, iAntwerp ) }.
% 0.44/1.08  parent0: (25) {G0,W3,D2,L1,V0,M1}  { rpath( iGhent, iAntwerp ) }.
% 0.44/1.08  substitution0:
% 0.44/1.08  end
% 0.44/1.08  permutation0:
% 0.44/1.08     0 ==> 0
% 0.44/1.08  end
% 0.44/1.08  
% 0.44/1.08  resolution: (31) {G1,W13,D2,L6,V0,M6}  { cowlNothing( skol1 ), alpha1( 
% 0.44/1.08    skol2 ), ! xsd_integer( skol2 ), ! cowlThing( iAntwerp ), ! rpath( 
% 0.44/1.08    iAntwerp, iGhent ), ! cowlThing( iGhent ) }.
% 0.44/1.08  parent0[0]: (26) {G0,W15,D2,L7,V0,M7}  { ! cowlThing( skol1 ), cowlNothing
% 0.44/1.08    ( skol1 ), alpha1( skol2 ), ! xsd_integer( skol2 ), ! cowlThing( iAntwerp
% 0.44/1.08     ), ! rpath( iAntwerp, iGhent ), ! cowlThing( iGhent ) }.
% 0.44/1.08  parent1[0]: (0) {G0,W2,D2,L1,V1,M1} I { cowlThing( X ) }.
% 0.44/1.08  substitution0:
% 0.44/1.08  end
% 0.44/1.08  substitution1:
% 0.44/1.08     X := skol1
% 0.44/1.08  end
% 0.44/1.08  
% 0.44/1.08  subsumption: (6) {G1,W13,D2,L6,V0,M1} I;r(0) { cowlNothing( skol1 ), ! 
% 0.44/1.08    xsd_integer( skol2 ), ! cowlThing( iAntwerp ), alpha1( skol2 ), ! 
% 0.44/1.08    cowlThing( iGhent ), ! rpath( iAntwerp, iGhent ) }.
% 0.44/1.08  parent0: (31) {G1,W13,D2,L6,V0,M6}  { cowlNothing( skol1 ), alpha1( skol2 )
% 0.44/1.08    , ! xsd_integer( skol2 ), ! cowlThing( iAntwerp ), ! rpath( iAntwerp, 
% 0.44/1.08    iGhent ), ! cowlThing( iGhent ) }.
% 0.44/1.08  substitution0:
% 0.44/1.08  end
% 0.44/1.08  permutation0:
% 0.44/1.08     0 ==> 0
% 0.44/1.08     1 ==> 3
% 0.44/1.08     2 ==> 1
% 0.44/1.08     3 ==> 2
% 0.44/1.08     4 ==> 5
% 0.44/1.08     5 ==> 4
% 0.44/1.08  end
% 0.44/1.08  
% 0.44/1.08  resolution: (37) {G1,W13,D2,L6,V0,M6}  { cowlNothing( skol1 ), alpha1( 
% 0.44/1.08    skol2 ), ! xsd_string( skol2 ), ! cowlThing( iAntwerp ), ! rpath( 
% 0.44/1.08    iAntwerp, iGhent ), ! cowlThing( iGhent ) }.
% 0.44/1.08  parent0[0]: (27) {G0,W15,D2,L7,V0,M7}  { ! cowlThing( skol1 ), cowlNothing
% 0.44/1.08    ( skol1 ), alpha1( skol2 ), ! xsd_string( skol2 ), ! cowlThing( iAntwerp
% 0.44/1.08     ), ! rpath( iAntwerp, iGhent ), ! cowlThing( iGhent ) }.
% 0.44/1.08  parent1[0]: (0) {G0,W2,D2,L1,V1,M1} I { cowlThing( X ) }.
% 0.44/1.08  substitution0:
% 0.44/1.08  end
% 0.44/1.08  substitution1:
% 0.44/1.08     X := skol1
% 0.44/1.08  end
% 0.44/1.08  
% 0.44/1.08  subsumption: (7) {G1,W13,D2,L6,V0,M1} I;r(0) { cowlNothing( skol1 ), ! 
% 0.44/1.08    xsd_string( skol2 ), ! cowlThing( iAntwerp ), alpha1( skol2 ), ! 
% 0.44/1.08    cowlThing( iGhent ), ! rpath( iAntwerp, iGhent ) }.
% 0.44/1.08  parent0: (37) {G1,W13,D2,L6,V0,M6}  { cowlNothing( skol1 ), alpha1( skol2 )
% 0.44/1.08    , ! xsd_string( skol2 ), ! cowlThing( iAntwerp ), ! rpath( iAntwerp, 
% 0.44/1.08    iGhent ), ! cowlThing( iGhent ) }.
% 0.44/1.08  substitution0:
% 0.44/1.08  end
% 0.44/1.08  permutation0:
% 0.44/1.08     0 ==> 0
% 0.44/1.08     1 ==> 3
% 0.44/1.08     2 ==> 1
% 0.44/1.08     3 ==> 2
% 0.44/1.08     4 ==> 5
% 0.44/1.08     5 ==> 4
% 0.44/1.08  end
% 0.44/1.08  
% 0.44/1.08  subsumption: (8) {G0,W4,D2,L2,V1,M1} I { xsd_string( X ), ! alpha1( X ) }.
% 0.44/1.08  parent0: (28) {G0,W4,D2,L2,V1,M2}  { ! alpha1( X ), xsd_string( X ) }.
% 0.44/1.08  substitution0:
% 0.44/1.08     X := X
% 0.44/1.08  end
% 0.44/1.08  permutation0:
% 0.44/1.08     0 ==> 1
% 0.44/1.08     1 ==> 0
% 0.44/1.08  end
% 0.44/1.08  
% 0.44/1.08  subsumption: (9) {G0,W4,D2,L2,V1,M1} I { xsd_integer( X ), ! alpha1( X )
% 0.44/1.08     }.
% 0.44/1.08  parent0: (29) {G0,W4,D2,L2,V1,M2}  { ! alpha1( X ), xsd_integer( X ) }.
% 0.44/1.08  substitution0:
% 0.44/1.08     X := X
% 0.44/1.08  end
% 0.44/1.08  permutation0:
% 0.44/1.08     0 ==> 1
% 0.44/1.08     1 ==> 0
% 0.44/1.08  end
% 0.44/1.08  
% 0.44/1.08  resolution: (40) {G1,W3,D2,L1,V0,M1}  { rpath( iAntwerp, iGhent ) }.
% 0.44/1.08  parent0[1]: (4) {G0,W6,D2,L2,V2,M2} I { rpath( Y, X ), ! rpath( X, Y ) }.
% 0.44/1.08  parent1[0]: (5) {G0,W3,D2,L1,V0,M1} I { rpath( iGhent, iAntwerp ) }.
% 0.44/1.08  substitution0:
% 0.44/1.08     X := iGhent
% 0.44/1.08     Y := iAntwerp
% 0.44/1.08  end
% 0.44/1.08  substitution1:
% 0.44/1.08  end
% 0.44/1.08  
% 0.44/1.08  subsumption: (10) {G1,W3,D2,L1,V0,M1} R(4,5) { rpath( iAntwerp, iGhent )
% 0.44/1.08     }.
% 0.44/1.08  parent0: (40) {G1,W3,D2,L1,V0,M1}  { rpath( iAntwerp, iGhent ) }.
% 0.44/1.08  substitution0:
% 0.44/1.08  end
% 0.44/1.08  permutation0:
% 0.44/1.08     0 ==> 0
% 0.44/1.08  end
% 0.44/1.08  
% 0.44/1.08  resolution: (41) {G1,W11,D2,L5,V0,M5}  { ! xsd_string( skol2 ), ! cowlThing
% 0.44/1.08    ( iAntwerp ), alpha1( skol2 ), ! cowlThing( iGhent ), ! rpath( iAntwerp, 
% 0.44/1.08    iGhent ) }.
% 0.44/1.08  parent0[0]: (1) {G0,W2,D2,L1,V1,M1} I { ! cowlNothing( X ) }.
% 0.44/1.08  parent1[0]: (7) {G1,W13,D2,L6,V0,M1} I;r(0) { cowlNothing( skol1 ), ! 
% 0.44/1.08    xsd_string( skol2 ), ! cowlThing( iAntwerp ), alpha1( skol2 ), ! 
% 0.44/1.08    cowlThing( iGhent ), ! rpath( iAntwerp, iGhent ) }.
% 0.44/1.08  substitution0:
% 0.44/1.08     X := skol1
% 0.44/1.08  end
% 0.44/1.08  substitution1:
% 0.44/1.08  end
% 0.44/1.08  
% 0.44/1.08  resolution: (42) {G1,W9,D2,L4,V0,M4}  { ! xsd_string( skol2 ), alpha1( 
% 0.44/1.08    skol2 ), ! cowlThing( iGhent ), ! rpath( iAntwerp, iGhent ) }.
% 0.44/1.08  parent0[1]: (41) {G1,W11,D2,L5,V0,M5}  { ! xsd_string( skol2 ), ! cowlThing
% 0.44/1.08    ( iAntwerp ), alpha1( skol2 ), ! cowlThing( iGhent ), ! rpath( iAntwerp, 
% 0.44/1.08    iGhent ) }.
% 0.44/1.08  parent1[0]: (0) {G0,W2,D2,L1,V1,M1} I { cowlThing( X ) }.
% 0.44/1.08  substitution0:
% 0.44/1.08  end
% 0.44/1.08  substitution1:
% 0.44/1.08     X := iAntwerp
% 0.44/1.08  end
% 0.44/1.08  
% 0.44/1.08  resolution: (44) {G1,W7,D2,L3,V0,M3}  { ! xsd_string( skol2 ), alpha1( 
% 0.44/1.08    skol2 ), ! rpath( iAntwerp, iGhent ) }.
% 0.44/1.08  parent0[2]: (42) {G1,W9,D2,L4,V0,M4}  { ! xsd_string( skol2 ), alpha1( 
% 0.44/1.08    skol2 ), ! cowlThing( iGhent ), ! rpath( iAntwerp, iGhent ) }.
% 0.44/1.08  parent1[0]: (0) {G0,W2,D2,L1,V1,M1} I { cowlThing( X ) }.
% 0.44/1.08  substitution0:
% 0.44/1.08  end
% 0.44/1.08  substitution1:
% 0.44/1.08     X := iGhent
% 0.44/1.08  end
% 0.44/1.08  
% 0.44/1.08  resolution: (45) {G2,W4,D2,L2,V0,M2}  { ! xsd_string( skol2 ), alpha1( 
% 0.44/1.08    skol2 ) }.
% 0.44/1.08  parent0[2]: (44) {G1,W7,D2,L3,V0,M3}  { ! xsd_string( skol2 ), alpha1( 
% 0.44/1.08    skol2 ), ! rpath( iAntwerp, iGhent ) }.
% 0.44/1.08  parent1[0]: (10) {G1,W3,D2,L1,V0,M1} R(4,5) { rpath( iAntwerp, iGhent ) }.
% 0.44/1.08  substitution0:
% 0.44/1.08  end
% 0.44/1.08  substitution1:
% 0.44/1.08  end
% 0.44/1.08  
% 0.44/1.08  subsumption: (11) {G2,W4,D2,L2,V0,M1} S(7);r(1);r(0);r(0);r(10) { ! 
% 0.44/1.08    xsd_string( skol2 ), alpha1( skol2 ) }.
% 0.44/1.08  parent0: (45) {G2,W4,D2,L2,V0,M2}  { ! xsd_string( skol2 ), alpha1( skol2 )
% 0.44/1.08     }.
% 0.44/1.08  substitution0:
% 0.44/1.08  end
% 0.44/1.08  permutation0:
% 0.44/1.08     0 ==> 0
% 0.44/1.08     1 ==> 1
% 0.44/1.08  end
% 0.44/1.08  
% 0.44/1.08  resolution: (46) {G1,W11,D2,L5,V0,M5}  { ! xsd_integer( skol2 ), ! 
% 0.44/1.08    cowlThing( iAntwerp ), alpha1( skol2 ), ! cowlThing( iGhent ), ! rpath( 
% 0.44/1.08    iAntwerp, iGhent ) }.
% 0.44/1.08  parent0[0]: (1) {G0,W2,D2,L1,V1,M1} I { ! cowlNothing( X ) }.
% 0.44/1.08  parent1[0]: (6) {G1,W13,D2,L6,V0,M1} I;r(0) { cowlNothing( skol1 ), ! 
% 0.44/1.08    xsd_integer( skol2 ), ! cowlThing( iAntwerp ), alpha1( skol2 ), ! 
% 0.44/1.08    cowlThing( iGhent ), ! rpath( iAntwerp, iGhent ) }.
% 0.44/1.08  substitution0:
% 0.44/1.08     X := skol1
% 0.44/1.08  end
% 0.44/1.08  substitution1:
% 0.44/1.08  end
% 0.44/1.08  
% 0.44/1.08  resolution: (47) {G1,W9,D2,L4,V0,M4}  { ! xsd_integer( skol2 ), alpha1( 
% 0.44/1.08    skol2 ), ! cowlThing( iGhent ), ! rpath( iAntwerp, iGhent ) }.
% 0.44/1.08  parent0[1]: (46) {G1,W11,D2,L5,V0,M5}  { ! xsd_integer( skol2 ), ! 
% 0.44/1.08    cowlThing( iAntwerp ), alpha1( skol2 ), ! cowlThing( iGhent ), ! rpath( 
% 0.44/1.08    iAntwerp, iGhent ) }.
% 0.44/1.08  parent1[0]: (0) {G0,W2,D2,L1,V1,M1} I { cowlThing( X ) }.
% 0.44/1.08  substitution0:
% 0.44/1.08  end
% 0.44/1.08  substitution1:
% 0.44/1.08     X := iAntwerp
% 0.44/1.08  end
% 0.44/1.08  
% 0.44/1.08  resolution: (49) {G1,W7,D2,L3,V0,M3}  { ! xsd_integer( skol2 ), alpha1( 
% 0.44/1.08    skol2 ), ! rpath( iAntwerp, iGhent ) }.
% 0.44/1.08  parent0[2]: (47) {G1,W9,D2,L4,V0,M4}  { ! xsd_integer( skol2 ), alpha1( 
% 0.44/1.08    skol2 ), ! cowlThing( iGhent ), ! rpath( iAntwerp, iGhent ) }.
% 0.44/1.08  parent1[0]: (0) {G0,W2,D2,L1,V1,M1} I { cowlThing( X ) }.
% 0.44/1.08  substitution0:
% 0.44/1.08  end
% 0.44/1.08  substitution1:
% 0.44/1.08     X := iGhent
% 0.44/1.08  end
% 0.44/1.08  
% 0.44/1.08  resolution: (50) {G2,W4,D2,L2,V0,M2}  { ! xsd_integer( skol2 ), alpha1( 
% 0.44/1.08    skol2 ) }.
% 0.44/1.08  parent0[2]: (49) {G1,W7,D2,L3,V0,M3}  { ! xsd_integer( skol2 ), alpha1( 
% 0.44/1.08    skol2 ), ! rpath( iAntwerp, iGhent ) }.
% 0.44/1.08  parent1[0]: (10) {G1,W3,D2,L1,V0,M1} R(4,5) { rpath( iAntwerp, iGhent ) }.
% 0.44/1.08  substitution0:
% 0.44/1.08  end
% 0.44/1.08  substitution1:
% 0.44/1.08  end
% 0.44/1.08  
% 0.44/1.08  subsumption: (12) {G2,W4,D2,L2,V0,M1} S(6);r(1);r(0);r(0);r(10) { ! 
% 0.44/1.08    xsd_integer( skol2 ), alpha1( skol2 ) }.
% 0.44/1.08  parent0: (50) {G2,W4,D2,L2,V0,M2}  { ! xsd_integer( skol2 ), alpha1( skol2
% 0.44/1.08     ) }.
% 0.44/1.08  substitution0:
% 0.44/1.08  end
% 0.44/1.08  permutation0:
% 0.44/1.08     0 ==> 0
% 0.44/1.08     1 ==> 1
% 0.44/1.08  end
% 0.44/1.08  
% 0.44/1.08  resolution: (51) {G1,W4,D2,L2,V0,M2}  { xsd_string( skol2 ), ! xsd_integer
% 0.44/1.08    ( skol2 ) }.
% 0.44/1.08  parent0[1]: (8) {G0,W4,D2,L2,V1,M1} I { xsd_string( X ), ! alpha1( X ) }.
% 0.44/1.08  parent1[1]: (12) {G2,W4,D2,L2,V0,M1} S(6);r(1);r(0);r(0);r(10) { ! 
% 0.44/1.08    xsd_integer( skol2 ), alpha1( skol2 ) }.
% 0.44/1.08  substitution0:
% 0.44/1.08     X := skol2
% 0.44/1.08  end
% 0.44/1.08  substitution1:
% 0.44/1.08  end
% 0.44/1.08  
% 0.44/1.08  resolution: (52) {G1,W4,D2,L2,V0,M2}  { xsd_string( skol2 ), xsd_string( 
% 0.44/1.08    skol2 ) }.
% 0.44/1.08  parent0[1]: (51) {G1,W4,D2,L2,V0,M2}  { xsd_string( skol2 ), ! xsd_integer
% 0.44/1.08    ( skol2 ) }.
% 0.44/1.08  parent1[1]: (3) {G0,W4,D2,L2,V1,M1} I { xsd_string( X ), xsd_integer( X )
% 0.44/1.08     }.
% 0.44/1.08  substitution0:
% 0.44/1.08  end
% 0.44/1.08  substitution1:
% 0.44/1.08     X := skol2
% 0.44/1.08  end
% 0.44/1.08  
% 0.44/1.08  factor: (53) {G1,W2,D2,L1,V0,M1}  { xsd_string( skol2 ) }.
% 0.44/1.08  parent0[0, 1]: (52) {G1,W4,D2,L2,V0,M2}  { xsd_string( skol2 ), xsd_string
% 0.44/1.08    ( skol2 ) }.
% 0.44/1.08  substitution0:
% 0.44/1.08  end
% 0.44/1.08  
% 0.44/1.08  subsumption: (13) {G3,W2,D2,L1,V0,M1} R(12,8);r(3) { xsd_string( skol2 )
% 0.44/1.08     }.
% 0.44/1.08  parent0: (53) {G1,W2,D2,L1,V0,M1}  { xsd_string( skol2 ) }.
% 0.44/1.08  substitution0:
% 0.44/1.08  end
% 0.44/1.08  permutation0:
% 0.44/1.08     0 ==> 0
% 0.44/1.08  end
% 0.44/1.08  
% 0.44/1.08  resolution: (54) {G3,W2,D2,L1,V0,M1}  { alpha1( skol2 ) }.
% 0.44/1.08  parent0[0]: (11) {G2,W4,D2,L2,V0,M1} S(7);r(1);r(0);r(0);r(10) { ! 
% 0.44/1.08    xsd_string( skol2 ), alpha1( skol2 ) }.
% 0.44/1.08  parent1[0]: (13) {G3,W2,D2,L1,V0,M1} R(12,8);r(3) { xsd_string( skol2 ) }.
% 0.44/1.08  substitution0:
% 0.44/1.08  end
% 0.44/1.08  substitution1:
% 0.44/1.08  end
% 0.44/1.08  
% 0.44/1.08  subsumption: (14) {G4,W2,D2,L1,V0,M1} S(11);r(13) { alpha1( skol2 ) }.
% 0.44/1.08  parent0: (54) {G3,W2,D2,L1,V0,M1}  { alpha1( skol2 ) }.
% 0.44/1.08  substitution0:
% 0.44/1.08  end
% 0.44/1.08  permutation0:
% 0.44/1.08     0 ==> 0
% 0.44/1.08  end
% 0.44/1.08  
% 0.44/1.08  resolution: (55) {G1,W2,D2,L1,V0,M1}  { xsd_integer( skol2 ) }.
% 0.44/1.08  parent0[1]: (9) {G0,W4,D2,L2,V1,M1} I { xsd_integer( X ), ! alpha1( X ) }.
% 0.44/1.08  parent1[0]: (14) {G4,W2,D2,L1,V0,M1} S(11);r(13) { alpha1( skol2 ) }.
% 0.44/1.08  substitution0:
% 0.44/1.08     X := skol2
% 0.44/1.08  end
% 0.44/1.08  substitution1:
% 0.44/1.08  end
% 0.44/1.08  
% 0.44/1.08  subsumption: (15) {G5,W2,D2,L1,V0,M1} R(14,9) { xsd_integer( skol2 ) }.
% 0.44/1.08  parent0: (55) {G1,W2,D2,L1,V0,M1}  { xsd_integer( skol2 ) }.
% 0.44/1.08  substitution0:
% 0.44/1.08  end
% 0.44/1.08  permutation0:
% 0.44/1.08     0 ==> 0
% 0.44/1.08  end
% 0.44/1.08  
% 0.44/1.08  resolution: (56) {G1,W2,D2,L1,V0,M1}  { ! xsd_string( skol2 ) }.
% 0.44/1.08  parent0[1]: (2) {G0,W4,D2,L2,V1,M1} I { ! xsd_string( X ), ! xsd_integer( X
% 0.44/1.08     ) }.
% 0.44/1.08  parent1[0]: (15) {G5,W2,D2,L1,V0,M1} R(14,9) { xsd_integer( skol2 ) }.
% 0.44/1.08  substitution0:
% 0.44/1.08     X := skol2
% 0.44/1.08  end
% 0.44/1.08  substitution1:
% 0.44/1.08  end
% 0.44/1.08  
% 0.44/1.08  resolution: (57) {G2,W0,D0,L0,V0,M0}  {  }.
% 0.44/1.08  parent0[0]: (56) {G1,W2,D2,L1,V0,M1}  { ! xsd_string( skol2 ) }.
% 0.44/1.08  parent1[0]: (13) {G3,W2,D2,L1,V0,M1} R(12,8);r(3) { xsd_string( skol2 ) }.
% 0.44/1.08  substitution0:
% 0.44/1.08  end
% 0.44/1.08  substitution1:
% 0.44/1.08  end
% 0.44/1.08  
% 0.44/1.08  subsumption: (16) {G6,W0,D0,L0,V0,M0} R(15,2);r(13) {  }.
% 0.44/1.08  parent0: (57) {G2,W0,D0,L0,V0,M0}  {  }.
% 0.44/1.08  substitution0:
% 0.44/1.08  end
% 0.44/1.08  permutation0:
% 0.44/1.08  end
% 0.44/1.08  
% 0.44/1.08  Proof check complete!
% 0.44/1.08  
% 0.44/1.08  Memory use:
% 0.44/1.08  
% 0.44/1.08  space for terms:        355
% 0.44/1.08  space for clauses:      853
% 0.44/1.08  
% 0.44/1.08  
% 0.44/1.08  clauses generated:      26
% 0.44/1.08  clauses kept:           17
% 0.44/1.08  clauses selected:       13
% 0.44/1.08  clauses deleted:        3
% 0.44/1.08  clauses inuse deleted:  0
% 0.44/1.08  
% 0.44/1.08  subsentry:          16
% 0.44/1.08  literals s-matched: 5
% 0.44/1.08  literals matched:   5
% 0.44/1.08  full subsumption:   0
% 0.44/1.08  
% 0.44/1.08  checksum:           603991129
% 0.44/1.08  
% 0.44/1.08  
% 0.44/1.08  Bliksem ended
%------------------------------------------------------------------------------