TSTP Solution File: KRS169+1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : KRS169+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n028.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 02:42:31 EDT 2022

% Result   : Theorem 0.70s 1.09s
% Output   : Refutation 0.70s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : KRS169+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n028.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % DateTime : Tue Jun  7 13:24:30 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.70/1.09  *** allocated 10000 integers for termspace/termends
% 0.70/1.09  *** allocated 10000 integers for clauses
% 0.70/1.09  *** allocated 10000 integers for justifications
% 0.70/1.09  Bliksem 1.12
% 0.70/1.09  
% 0.70/1.09  
% 0.70/1.09  Automatic Strategy Selection
% 0.70/1.09  
% 0.70/1.09  
% 0.70/1.09  Clauses:
% 0.70/1.09  
% 0.70/1.09  { cowlThing( X ) }.
% 0.70/1.09  { ! cowlNothing( X ) }.
% 0.70/1.09  { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.70/1.09  { xsd_integer( X ), xsd_string( X ) }.
% 0.70/1.09  { cowlThing( iX ) }.
% 0.70/1.09  { rhasLeader( iX, iY ) }.
% 0.70/1.09  { cowlThing( iY ) }.
% 0.70/1.09  { ! rhasLeader( X, Y ), rhasHead( X, Y ) }.
% 0.70/1.09  { ! rhasHead( X, Y ), rhasLeader( X, Y ) }.
% 0.70/1.09  { ! cowlThing( skol1 ), cowlNothing( skol1 ), alpha1( skol2 ), ! 
% 0.70/1.09    xsd_integer( skol2 ), ! cowlThing( iX ), ! rhasHead( iX, iY ), ! 
% 0.70/1.09    cowlThing( iY ) }.
% 0.70/1.09  { ! cowlThing( skol1 ), cowlNothing( skol1 ), alpha1( skol2 ), ! xsd_string
% 0.70/1.09    ( skol2 ), ! cowlThing( iX ), ! rhasHead( iX, iY ), ! cowlThing( iY ) }.
% 0.70/1.09  { ! alpha1( X ), xsd_string( X ) }.
% 0.70/1.09  { ! alpha1( X ), xsd_integer( X ) }.
% 0.70/1.09  { ! xsd_string( X ), ! xsd_integer( X ), alpha1( X ) }.
% 0.70/1.09  
% 0.70/1.09  percentage equality = 0.000000, percentage horn = 0.727273
% 0.70/1.09  This a non-horn, non-equality problem
% 0.70/1.09  
% 0.70/1.09  
% 0.70/1.09  Options Used:
% 0.70/1.09  
% 0.70/1.09  useres =            1
% 0.70/1.09  useparamod =        0
% 0.70/1.09  useeqrefl =         0
% 0.70/1.09  useeqfact =         0
% 0.70/1.09  usefactor =         1
% 0.70/1.09  usesimpsplitting =  0
% 0.70/1.09  usesimpdemod =      0
% 0.70/1.09  usesimpres =        3
% 0.70/1.09  
% 0.70/1.09  resimpinuse      =  1000
% 0.70/1.09  resimpclauses =     20000
% 0.70/1.09  substype =          standard
% 0.70/1.09  backwardsubs =      1
% 0.70/1.09  selectoldest =      5
% 0.70/1.09  
% 0.70/1.09  litorderings [0] =  split
% 0.70/1.09  litorderings [1] =  liftord
% 0.70/1.09  
% 0.70/1.09  termordering =      none
% 0.70/1.09  
% 0.70/1.09  litapriori =        1
% 0.70/1.09  termapriori =       0
% 0.70/1.09  litaposteriori =    0
% 0.70/1.09  termaposteriori =   0
% 0.70/1.09  demodaposteriori =  0
% 0.70/1.09  ordereqreflfact =   0
% 0.70/1.09  
% 0.70/1.09  litselect =         none
% 0.70/1.09  
% 0.70/1.09  maxweight =         15
% 0.70/1.09  maxdepth =          30000
% 0.70/1.09  maxlength =         115
% 0.70/1.09  maxnrvars =         195
% 0.70/1.09  excuselevel =       1
% 0.70/1.09  increasemaxweight = 1
% 0.70/1.09  
% 0.70/1.09  maxselected =       10000000
% 0.70/1.09  maxnrclauses =      10000000
% 0.70/1.09  
% 0.70/1.09  showgenerated =    0
% 0.70/1.09  showkept =         0
% 0.70/1.09  showselected =     0
% 0.70/1.09  showdeleted =      0
% 0.70/1.09  showresimp =       1
% 0.70/1.09  showstatus =       2000
% 0.70/1.09  
% 0.70/1.09  prologoutput =     0
% 0.70/1.09  nrgoals =          5000000
% 0.70/1.09  totalproof =       1
% 0.70/1.09  
% 0.70/1.09  Symbols occurring in the translation:
% 0.70/1.09  
% 0.70/1.09  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.70/1.09  .  [1, 2]      (w:1, o:22, a:1, s:1, b:0), 
% 0.70/1.09  !  [4, 1]      (w:0, o:12, a:1, s:1, b:0), 
% 0.70/1.09  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.70/1.09  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.70/1.09  cowlThing  [36, 1]      (w:1, o:17, a:1, s:1, b:0), 
% 0.70/1.09  cowlNothing  [37, 1]      (w:1, o:18, a:1, s:1, b:0), 
% 0.70/1.09  xsd_string  [38, 1]      (w:1, o:19, a:1, s:1, b:0), 
% 0.70/1.09  xsd_integer  [39, 1]      (w:1, o:20, a:1, s:1, b:0), 
% 0.70/1.09  iX  [40, 0]      (w:1, o:7, a:1, s:1, b:0), 
% 0.70/1.09  iY  [41, 0]      (w:1, o:8, a:1, s:1, b:0), 
% 0.70/1.09  rhasLeader  [42, 2]      (w:1, o:46, a:1, s:1, b:0), 
% 0.70/1.09  rhasHead  [44, 2]      (w:1, o:47, a:1, s:1, b:0), 
% 0.70/1.09  alpha1  [45, 1]      (w:1, o:21, a:1, s:1, b:0), 
% 0.70/1.09  skol1  [46, 0]      (w:1, o:10, a:1, s:1, b:0), 
% 0.70/1.09  skol2  [47, 0]      (w:1, o:11, a:1, s:1, b:0).
% 0.70/1.09  
% 0.70/1.09  
% 0.70/1.09  Starting Search:
% 0.70/1.09  
% 0.70/1.09  
% 0.70/1.09  Bliksems!, er is een bewijs:
% 0.70/1.09  % SZS status Theorem
% 0.70/1.09  % SZS output start Refutation
% 0.70/1.09  
% 0.70/1.09  (0) {G0,W2,D2,L1,V1,M1} I { cowlThing( X ) }.
% 0.70/1.09  (1) {G0,W2,D2,L1,V1,M1} I { ! cowlNothing( X ) }.
% 0.70/1.09  (2) {G0,W4,D2,L2,V1,M1} I { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.70/1.09  (3) {G0,W4,D2,L2,V1,M1} I { xsd_string( X ), xsd_integer( X ) }.
% 0.70/1.09  (4) {G0,W3,D2,L1,V0,M1} I { rhasLeader( iX, iY ) }.
% 0.70/1.09  (5) {G0,W6,D2,L2,V2,M1} I { ! rhasLeader( X, Y ), rhasHead( X, Y ) }.
% 0.70/1.09  (7) {G1,W13,D2,L6,V0,M1} I;r(0) { cowlNothing( skol1 ), ! xsd_integer( 
% 0.70/1.09    skol2 ), ! cowlThing( iX ), alpha1( skol2 ), ! cowlThing( iY ), ! 
% 0.70/1.09    rhasHead( iX, iY ) }.
% 0.70/1.09  (8) {G1,W13,D2,L6,V0,M1} I;r(0) { cowlNothing( skol1 ), ! xsd_string( skol2
% 0.70/1.09     ), ! cowlThing( iX ), alpha1( skol2 ), ! cowlThing( iY ), ! rhasHead( iX
% 0.70/1.09    , iY ) }.
% 0.70/1.09  (9) {G0,W4,D2,L2,V1,M1} I { xsd_string( X ), ! alpha1( X ) }.
% 0.70/1.09  (10) {G0,W4,D2,L2,V1,M1} I { xsd_integer( X ), ! alpha1( X ) }.
% 0.70/1.09  (11) {G2,W7,D2,L3,V0,M1} S(8);r(1);r(0);r(0) { ! xsd_string( skol2 ), 
% 0.70/1.09    alpha1( skol2 ), ! rhasHead( iX, iY ) }.
% 0.70/1.09  (12) {G2,W7,D2,L3,V0,M1} S(7);r(1);r(0);r(0) { ! xsd_integer( skol2 ), 
% 0.70/1.09    alpha1( skol2 ), ! rhasHead( iX, iY ) }.
% 0.70/1.09  (13) {G3,W4,D2,L2,V0,M1} R(12,5);r(4) { ! xsd_integer( skol2 ), alpha1( 
% 0.70/1.09    skol2 ) }.
% 0.70/1.09  (14) {G4,W2,D2,L1,V0,M1} R(13,9);r(3) { xsd_string( skol2 ) }.
% 0.70/1.09  (15) {G5,W5,D2,L2,V0,M1} S(11);r(14) { alpha1( skol2 ), ! rhasHead( iX, iY
% 0.70/1.09     ) }.
% 0.70/1.09  (16) {G6,W2,D2,L1,V0,M1} R(15,5);r(4) { alpha1( skol2 ) }.
% 0.70/1.09  (17) {G7,W2,D2,L1,V0,M1} R(16,10) { xsd_integer( skol2 ) }.
% 0.70/1.09  (18) {G8,W0,D0,L0,V0,M0} R(17,2);r(14) {  }.
% 0.70/1.09  
% 0.70/1.09  
% 0.70/1.09  % SZS output end Refutation
% 0.70/1.09  found a proof!
% 0.70/1.09  
% 0.70/1.09  
% 0.70/1.09  Unprocessed initial clauses:
% 0.70/1.09  
% 0.70/1.09  (20) {G0,W2,D2,L1,V1,M1}  { cowlThing( X ) }.
% 0.70/1.09  (21) {G0,W2,D2,L1,V1,M1}  { ! cowlNothing( X ) }.
% 0.70/1.09  (22) {G0,W4,D2,L2,V1,M2}  { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.70/1.09  (23) {G0,W4,D2,L2,V1,M2}  { xsd_integer( X ), xsd_string( X ) }.
% 0.70/1.09  (24) {G0,W2,D2,L1,V0,M1}  { cowlThing( iX ) }.
% 0.70/1.09  (25) {G0,W3,D2,L1,V0,M1}  { rhasLeader( iX, iY ) }.
% 0.70/1.09  (26) {G0,W2,D2,L1,V0,M1}  { cowlThing( iY ) }.
% 0.70/1.09  (27) {G0,W6,D2,L2,V2,M2}  { ! rhasLeader( X, Y ), rhasHead( X, Y ) }.
% 0.70/1.09  (28) {G0,W6,D2,L2,V2,M2}  { ! rhasHead( X, Y ), rhasLeader( X, Y ) }.
% 0.70/1.09  (29) {G0,W15,D2,L7,V0,M7}  { ! cowlThing( skol1 ), cowlNothing( skol1 ), 
% 0.70/1.09    alpha1( skol2 ), ! xsd_integer( skol2 ), ! cowlThing( iX ), ! rhasHead( 
% 0.70/1.09    iX, iY ), ! cowlThing( iY ) }.
% 0.70/1.09  (30) {G0,W15,D2,L7,V0,M7}  { ! cowlThing( skol1 ), cowlNothing( skol1 ), 
% 0.70/1.09    alpha1( skol2 ), ! xsd_string( skol2 ), ! cowlThing( iX ), ! rhasHead( iX
% 0.70/1.09    , iY ), ! cowlThing( iY ) }.
% 0.70/1.09  (31) {G0,W4,D2,L2,V1,M2}  { ! alpha1( X ), xsd_string( X ) }.
% 0.70/1.09  (32) {G0,W4,D2,L2,V1,M2}  { ! alpha1( X ), xsd_integer( X ) }.
% 0.70/1.09  (33) {G0,W6,D2,L3,V1,M3}  { ! xsd_string( X ), ! xsd_integer( X ), alpha1( 
% 0.70/1.09    X ) }.
% 0.70/1.09  
% 0.70/1.09  
% 0.70/1.09  Total Proof:
% 0.70/1.09  
% 0.70/1.09  subsumption: (0) {G0,W2,D2,L1,V1,M1} I { cowlThing( X ) }.
% 0.70/1.09  parent0: (20) {G0,W2,D2,L1,V1,M1}  { cowlThing( X ) }.
% 0.70/1.09  substitution0:
% 0.70/1.09     X := X
% 0.70/1.09  end
% 0.70/1.09  permutation0:
% 0.70/1.09     0 ==> 0
% 0.70/1.09  end
% 0.70/1.09  
% 0.70/1.09  subsumption: (1) {G0,W2,D2,L1,V1,M1} I { ! cowlNothing( X ) }.
% 0.70/1.09  parent0: (21) {G0,W2,D2,L1,V1,M1}  { ! cowlNothing( X ) }.
% 0.70/1.09  substitution0:
% 0.70/1.09     X := X
% 0.70/1.09  end
% 0.70/1.09  permutation0:
% 0.70/1.09     0 ==> 0
% 0.70/1.09  end
% 0.70/1.09  
% 0.70/1.09  subsumption: (2) {G0,W4,D2,L2,V1,M1} I { ! xsd_string( X ), ! xsd_integer( 
% 0.70/1.09    X ) }.
% 0.70/1.09  parent0: (22) {G0,W4,D2,L2,V1,M2}  { ! xsd_string( X ), ! xsd_integer( X )
% 0.70/1.09     }.
% 0.70/1.09  substitution0:
% 0.70/1.09     X := X
% 0.70/1.09  end
% 0.70/1.09  permutation0:
% 0.70/1.09     0 ==> 0
% 0.70/1.09     1 ==> 1
% 0.70/1.09  end
% 0.70/1.09  
% 0.70/1.09  subsumption: (3) {G0,W4,D2,L2,V1,M1} I { xsd_string( X ), xsd_integer( X )
% 0.70/1.09     }.
% 0.70/1.09  parent0: (23) {G0,W4,D2,L2,V1,M2}  { xsd_integer( X ), xsd_string( X ) }.
% 0.70/1.09  substitution0:
% 0.70/1.09     X := X
% 0.70/1.09  end
% 0.70/1.09  permutation0:
% 0.70/1.09     0 ==> 1
% 0.70/1.09     1 ==> 0
% 0.70/1.09  end
% 0.70/1.09  
% 0.70/1.09  subsumption: (4) {G0,W3,D2,L1,V0,M1} I { rhasLeader( iX, iY ) }.
% 0.70/1.09  parent0: (25) {G0,W3,D2,L1,V0,M1}  { rhasLeader( iX, iY ) }.
% 0.70/1.09  substitution0:
% 0.70/1.09  end
% 0.70/1.09  permutation0:
% 0.70/1.09     0 ==> 0
% 0.70/1.09  end
% 0.70/1.09  
% 0.70/1.09  subsumption: (5) {G0,W6,D2,L2,V2,M1} I { ! rhasLeader( X, Y ), rhasHead( X
% 0.70/1.09    , Y ) }.
% 0.70/1.09  parent0: (27) {G0,W6,D2,L2,V2,M2}  { ! rhasLeader( X, Y ), rhasHead( X, Y )
% 0.70/1.09     }.
% 0.70/1.09  substitution0:
% 0.70/1.09     X := X
% 0.70/1.09     Y := Y
% 0.70/1.09  end
% 0.70/1.09  permutation0:
% 0.70/1.09     0 ==> 0
% 0.70/1.09     1 ==> 1
% 0.70/1.09  end
% 0.70/1.09  
% 0.70/1.09  resolution: (34) {G1,W13,D2,L6,V0,M6}  { cowlNothing( skol1 ), alpha1( 
% 0.70/1.09    skol2 ), ! xsd_integer( skol2 ), ! cowlThing( iX ), ! rhasHead( iX, iY )
% 0.70/1.09    , ! cowlThing( iY ) }.
% 0.70/1.09  parent0[0]: (29) {G0,W15,D2,L7,V0,M7}  { ! cowlThing( skol1 ), cowlNothing
% 0.70/1.09    ( skol1 ), alpha1( skol2 ), ! xsd_integer( skol2 ), ! cowlThing( iX ), ! 
% 0.70/1.09    rhasHead( iX, iY ), ! cowlThing( iY ) }.
% 0.70/1.09  parent1[0]: (0) {G0,W2,D2,L1,V1,M1} I { cowlThing( X ) }.
% 0.70/1.09  substitution0:
% 0.70/1.09  end
% 0.70/1.09  substitution1:
% 0.70/1.09     X := skol1
% 0.70/1.09  end
% 0.70/1.09  
% 0.70/1.09  subsumption: (7) {G1,W13,D2,L6,V0,M1} I;r(0) { cowlNothing( skol1 ), ! 
% 0.70/1.09    xsd_integer( skol2 ), ! cowlThing( iX ), alpha1( skol2 ), ! cowlThing( iY
% 0.70/1.09     ), ! rhasHead( iX, iY ) }.
% 0.70/1.09  parent0: (34) {G1,W13,D2,L6,V0,M6}  { cowlNothing( skol1 ), alpha1( skol2 )
% 0.70/1.09    , ! xsd_integer( skol2 ), ! cowlThing( iX ), ! rhasHead( iX, iY ), ! 
% 0.70/1.09    cowlThing( iY ) }.
% 0.70/1.09  substitution0:
% 0.70/1.09  end
% 0.70/1.09  permutation0:
% 0.70/1.09     0 ==> 0
% 0.70/1.09     1 ==> 3
% 0.70/1.09     2 ==> 1
% 0.70/1.09     3 ==> 2
% 0.70/1.09     4 ==> 5
% 0.70/1.09     5 ==> 4
% 0.70/1.09  end
% 0.70/1.09  
% 0.70/1.09  resolution: (40) {G1,W13,D2,L6,V0,M6}  { cowlNothing( skol1 ), alpha1( 
% 0.70/1.09    skol2 ), ! xsd_string( skol2 ), ! cowlThing( iX ), ! rhasHead( iX, iY ), 
% 0.70/1.09    ! cowlThing( iY ) }.
% 0.70/1.09  parent0[0]: (30) {G0,W15,D2,L7,V0,M7}  { ! cowlThing( skol1 ), cowlNothing
% 0.70/1.09    ( skol1 ), alpha1( skol2 ), ! xsd_string( skol2 ), ! cowlThing( iX ), ! 
% 0.70/1.09    rhasHead( iX, iY ), ! cowlThing( iY ) }.
% 0.70/1.09  parent1[0]: (0) {G0,W2,D2,L1,V1,M1} I { cowlThing( X ) }.
% 0.70/1.09  substitution0:
% 0.70/1.09  end
% 0.70/1.09  substitution1:
% 0.70/1.09     X := skol1
% 0.70/1.09  end
% 0.70/1.09  
% 0.70/1.09  subsumption: (8) {G1,W13,D2,L6,V0,M1} I;r(0) { cowlNothing( skol1 ), ! 
% 0.70/1.09    xsd_string( skol2 ), ! cowlThing( iX ), alpha1( skol2 ), ! cowlThing( iY
% 0.70/1.09     ), ! rhasHead( iX, iY ) }.
% 0.70/1.09  parent0: (40) {G1,W13,D2,L6,V0,M6}  { cowlNothing( skol1 ), alpha1( skol2 )
% 0.70/1.09    , ! xsd_string( skol2 ), ! cowlThing( iX ), ! rhasHead( iX, iY ), ! 
% 0.70/1.09    cowlThing( iY ) }.
% 0.70/1.09  substitution0:
% 0.70/1.09  end
% 0.70/1.09  permutation0:
% 0.70/1.09     0 ==> 0
% 0.70/1.09     1 ==> 3
% 0.70/1.09     2 ==> 1
% 0.70/1.09     3 ==> 2
% 0.70/1.09     4 ==> 5
% 0.70/1.09     5 ==> 4
% 0.70/1.09  end
% 0.70/1.09  
% 0.70/1.09  subsumption: (9) {G0,W4,D2,L2,V1,M1} I { xsd_string( X ), ! alpha1( X ) }.
% 0.70/1.09  parent0: (31) {G0,W4,D2,L2,V1,M2}  { ! alpha1( X ), xsd_string( X ) }.
% 0.70/1.09  substitution0:
% 0.70/1.09     X := X
% 0.70/1.09  end
% 0.70/1.09  permutation0:
% 0.70/1.09     0 ==> 1
% 0.70/1.09     1 ==> 0
% 0.70/1.09  end
% 0.70/1.09  
% 0.70/1.09  subsumption: (10) {G0,W4,D2,L2,V1,M1} I { xsd_integer( X ), ! alpha1( X )
% 0.70/1.09     }.
% 0.70/1.09  parent0: (32) {G0,W4,D2,L2,V1,M2}  { ! alpha1( X ), xsd_integer( X ) }.
% 0.70/1.09  substitution0:
% 0.70/1.09     X := X
% 0.70/1.09  end
% 0.70/1.09  permutation0:
% 0.70/1.09     0 ==> 1
% 0.70/1.09     1 ==> 0
% 0.70/1.09  end
% 0.70/1.09  
% 0.70/1.09  resolution: (43) {G1,W11,D2,L5,V0,M5}  { ! xsd_string( skol2 ), ! cowlThing
% 0.70/1.09    ( iX ), alpha1( skol2 ), ! cowlThing( iY ), ! rhasHead( iX, iY ) }.
% 0.70/1.09  parent0[0]: (1) {G0,W2,D2,L1,V1,M1} I { ! cowlNothing( X ) }.
% 0.70/1.09  parent1[0]: (8) {G1,W13,D2,L6,V0,M1} I;r(0) { cowlNothing( skol1 ), ! 
% 0.70/1.09    xsd_string( skol2 ), ! cowlThing( iX ), alpha1( skol2 ), ! cowlThing( iY
% 0.70/1.09     ), ! rhasHead( iX, iY ) }.
% 0.70/1.09  substitution0:
% 0.70/1.09     X := skol1
% 0.70/1.09  end
% 0.70/1.09  substitution1:
% 0.70/1.09  end
% 0.70/1.09  
% 0.70/1.09  resolution: (44) {G1,W9,D2,L4,V0,M4}  { ! xsd_string( skol2 ), alpha1( 
% 0.70/1.09    skol2 ), ! cowlThing( iY ), ! rhasHead( iX, iY ) }.
% 0.70/1.09  parent0[1]: (43) {G1,W11,D2,L5,V0,M5}  { ! xsd_string( skol2 ), ! cowlThing
% 0.70/1.09    ( iX ), alpha1( skol2 ), ! cowlThing( iY ), ! rhasHead( iX, iY ) }.
% 0.70/1.09  parent1[0]: (0) {G0,W2,D2,L1,V1,M1} I { cowlThing( X ) }.
% 0.70/1.09  substitution0:
% 0.70/1.09  end
% 0.70/1.09  substitution1:
% 0.70/1.09     X := iX
% 0.70/1.09  end
% 0.70/1.09  
% 0.70/1.09  resolution: (46) {G1,W7,D2,L3,V0,M3}  { ! xsd_string( skol2 ), alpha1( 
% 0.70/1.09    skol2 ), ! rhasHead( iX, iY ) }.
% 0.70/1.09  parent0[2]: (44) {G1,W9,D2,L4,V0,M4}  { ! xsd_string( skol2 ), alpha1( 
% 0.70/1.09    skol2 ), ! cowlThing( iY ), ! rhasHead( iX, iY ) }.
% 0.70/1.09  parent1[0]: (0) {G0,W2,D2,L1,V1,M1} I { cowlThing( X ) }.
% 0.70/1.09  substitution0:
% 0.70/1.09  end
% 0.70/1.09  substitution1:
% 0.70/1.09     X := iY
% 0.70/1.09  end
% 0.70/1.09  
% 0.70/1.09  subsumption: (11) {G2,W7,D2,L3,V0,M1} S(8);r(1);r(0);r(0) { ! xsd_string( 
% 0.70/1.09    skol2 ), alpha1( skol2 ), ! rhasHead( iX, iY ) }.
% 0.70/1.09  parent0: (46) {G1,W7,D2,L3,V0,M3}  { ! xsd_string( skol2 ), alpha1( skol2 )
% 0.70/1.09    , ! rhasHead( iX, iY ) }.
% 0.70/1.09  substitution0:
% 0.70/1.09  end
% 0.70/1.09  permutation0:
% 0.70/1.09     0 ==> 0
% 0.70/1.09     1 ==> 1
% 0.70/1.09     2 ==> 2
% 0.70/1.09  end
% 0.70/1.09  
% 0.70/1.09  resolution: (47) {G1,W11,D2,L5,V0,M5}  { ! xsd_integer( skol2 ), ! 
% 0.70/1.09    cowlThing( iX ), alpha1( skol2 ), ! cowlThing( iY ), ! rhasHead( iX, iY )
% 0.70/1.09     }.
% 0.70/1.09  parent0[0]: (1) {G0,W2,D2,L1,V1,M1} I { ! cowlNothing( X ) }.
% 0.70/1.09  parent1[0]: (7) {G1,W13,D2,L6,V0,M1} I;r(0) { cowlNothing( skol1 ), ! 
% 0.70/1.09    xsd_integer( skol2 ), ! cowlThing( iX ), alpha1( skol2 ), ! cowlThing( iY
% 0.70/1.09     ), ! rhasHead( iX, iY ) }.
% 0.70/1.09  substitution0:
% 0.70/1.09     X := skol1
% 0.70/1.09  end
% 0.70/1.09  substitution1:
% 0.70/1.09  end
% 0.70/1.09  
% 0.70/1.09  resolution: (48) {G1,W9,D2,L4,V0,M4}  { ! xsd_integer( skol2 ), alpha1( 
% 0.70/1.09    skol2 ), ! cowlThing( iY ), ! rhasHead( iX, iY ) }.
% 0.70/1.09  parent0[1]: (47) {G1,W11,D2,L5,V0,M5}  { ! xsd_integer( skol2 ), ! 
% 0.70/1.09    cowlThing( iX ), alpha1( skol2 ), ! cowlThing( iY ), ! rhasHead( iX, iY )
% 0.70/1.09     }.
% 0.70/1.09  parent1[0]: (0) {G0,W2,D2,L1,V1,M1} I { cowlThing( X ) }.
% 0.70/1.09  substitution0:
% 0.70/1.09  end
% 0.70/1.09  substitution1:
% 0.70/1.09     X := iX
% 0.70/1.09  end
% 0.70/1.09  
% 0.70/1.09  resolution: (50) {G1,W7,D2,L3,V0,M3}  { ! xsd_integer( skol2 ), alpha1( 
% 0.70/1.09    skol2 ), ! rhasHead( iX, iY ) }.
% 0.70/1.09  parent0[2]: (48) {G1,W9,D2,L4,V0,M4}  { ! xsd_integer( skol2 ), alpha1( 
% 0.70/1.09    skol2 ), ! cowlThing( iY ), ! rhasHead( iX, iY ) }.
% 0.70/1.09  parent1[0]: (0) {G0,W2,D2,L1,V1,M1} I { cowlThing( X ) }.
% 0.70/1.09  substitution0:
% 0.70/1.09  end
% 0.70/1.09  substitution1:
% 0.70/1.09     X := iY
% 0.70/1.09  end
% 0.70/1.09  
% 0.70/1.09  subsumption: (12) {G2,W7,D2,L3,V0,M1} S(7);r(1);r(0);r(0) { ! xsd_integer( 
% 0.70/1.09    skol2 ), alpha1( skol2 ), ! rhasHead( iX, iY ) }.
% 0.70/1.09  parent0: (50) {G1,W7,D2,L3,V0,M3}  { ! xsd_integer( skol2 ), alpha1( skol2
% 0.70/1.09     ), ! rhasHead( iX, iY ) }.
% 0.70/1.09  substitution0:
% 0.70/1.09  end
% 0.70/1.09  permutation0:
% 0.70/1.09     0 ==> 0
% 0.70/1.09     1 ==> 1
% 0.70/1.09     2 ==> 2
% 0.70/1.09  end
% 0.70/1.09  
% 0.70/1.09  resolution: (51) {G1,W7,D2,L3,V0,M3}  { ! xsd_integer( skol2 ), alpha1( 
% 0.70/1.09    skol2 ), ! rhasLeader( iX, iY ) }.
% 0.70/1.09  parent0[2]: (12) {G2,W7,D2,L3,V0,M1} S(7);r(1);r(0);r(0) { ! xsd_integer( 
% 0.70/1.09    skol2 ), alpha1( skol2 ), ! rhasHead( iX, iY ) }.
% 0.70/1.09  parent1[1]: (5) {G0,W6,D2,L2,V2,M1} I { ! rhasLeader( X, Y ), rhasHead( X, 
% 0.70/1.09    Y ) }.
% 0.70/1.09  substitution0:
% 0.70/1.09  end
% 0.70/1.09  substitution1:
% 0.70/1.09     X := iX
% 0.70/1.09     Y := iY
% 0.70/1.09  end
% 0.70/1.09  
% 0.70/1.09  resolution: (52) {G1,W4,D2,L2,V0,M2}  { ! xsd_integer( skol2 ), alpha1( 
% 0.70/1.09    skol2 ) }.
% 0.70/1.09  parent0[2]: (51) {G1,W7,D2,L3,V0,M3}  { ! xsd_integer( skol2 ), alpha1( 
% 0.70/1.09    skol2 ), ! rhasLeader( iX, iY ) }.
% 0.70/1.09  parent1[0]: (4) {G0,W3,D2,L1,V0,M1} I { rhasLeader( iX, iY ) }.
% 0.70/1.09  substitution0:
% 0.70/1.09  end
% 0.70/1.09  substitution1:
% 0.70/1.09  end
% 0.70/1.09  
% 0.70/1.09  subsumption: (13) {G3,W4,D2,L2,V0,M1} R(12,5);r(4) { ! xsd_integer( skol2 )
% 0.70/1.09    , alpha1( skol2 ) }.
% 0.70/1.09  parent0: (52) {G1,W4,D2,L2,V0,M2}  { ! xsd_integer( skol2 ), alpha1( skol2
% 0.70/1.09     ) }.
% 0.70/1.09  substitution0:
% 0.70/1.09  end
% 0.70/1.09  permutation0:
% 0.70/1.09     0 ==> 0
% 0.70/1.09     1 ==> 1
% 0.70/1.09  end
% 0.70/1.09  
% 0.70/1.09  resolution: (53) {G1,W4,D2,L2,V0,M2}  { xsd_string( skol2 ), ! xsd_integer
% 0.70/1.09    ( skol2 ) }.
% 0.70/1.09  parent0[1]: (9) {G0,W4,D2,L2,V1,M1} I { xsd_string( X ), ! alpha1( X ) }.
% 0.70/1.09  parent1[1]: (13) {G3,W4,D2,L2,V0,M1} R(12,5);r(4) { ! xsd_integer( skol2 )
% 0.70/1.09    , alpha1( skol2 ) }.
% 0.70/1.09  substitution0:
% 0.70/1.09     X := skol2
% 0.70/1.09  end
% 0.70/1.09  substitution1:
% 0.70/1.09  end
% 0.70/1.09  
% 0.70/1.09  resolution: (54) {G1,W4,D2,L2,V0,M2}  { xsd_string( skol2 ), xsd_string( 
% 0.70/1.09    skol2 ) }.
% 0.70/1.09  parent0[1]: (53) {G1,W4,D2,L2,V0,M2}  { xsd_string( skol2 ), ! xsd_integer
% 0.70/1.09    ( skol2 ) }.
% 0.70/1.09  parent1[1]: (3) {G0,W4,D2,L2,V1,M1} I { xsd_string( X ), xsd_integer( X )
% 0.70/1.09     }.
% 0.70/1.09  substitution0:
% 0.70/1.09  end
% 0.70/1.09  substitution1:
% 0.70/1.09     X := skol2
% 0.70/1.09  end
% 0.70/1.09  
% 0.70/1.09  factor: (55) {G1,W2,D2,L1,V0,M1}  { xsd_string( skol2 ) }.
% 0.70/1.09  parent0[0, 1]: (54) {G1,W4,D2,L2,V0,M2}  { xsd_string( skol2 ), xsd_string
% 0.70/1.09    ( skol2 ) }.
% 0.70/1.09  substitution0:
% 0.70/1.09  end
% 0.70/1.09  
% 0.70/1.09  subsumption: (14) {G4,W2,D2,L1,V0,M1} R(13,9);r(3) { xsd_string( skol2 )
% 0.70/1.09     }.
% 0.70/1.09  parent0: (55) {G1,W2,D2,L1,V0,M1}  { xsd_string( skol2 ) }.
% 0.70/1.09  substitution0:
% 0.70/1.09  end
% 0.70/1.09  permutation0:
% 0.70/1.09     0 ==> 0
% 0.70/1.09  end
% 0.70/1.09  
% 0.70/1.09  resolution: (56) {G3,W5,D2,L2,V0,M2}  { alpha1( skol2 ), ! rhasHead( iX, iY
% 0.70/1.09     ) }.
% 0.70/1.09  parent0[0]: (11) {G2,W7,D2,L3,V0,M1} S(8);r(1);r(0);r(0) { ! xsd_string( 
% 0.70/1.09    skol2 ), alpha1( skol2 ), ! rhasHead( iX, iY ) }.
% 0.70/1.09  parent1[0]: (14) {G4,W2,D2,L1,V0,M1} R(13,9);r(3) { xsd_string( skol2 ) }.
% 0.70/1.09  substitution0:
% 0.70/1.09  end
% 0.70/1.09  substitution1:
% 0.70/1.09  end
% 0.70/1.09  
% 0.70/1.09  subsumption: (15) {G5,W5,D2,L2,V0,M1} S(11);r(14) { alpha1( skol2 ), ! 
% 0.70/1.09    rhasHead( iX, iY ) }.
% 0.70/1.09  parent0: (56) {G3,W5,D2,L2,V0,M2}  { alpha1( skol2 ), ! rhasHead( iX, iY )
% 0.70/1.09     }.
% 0.70/1.09  substitution0:
% 0.70/1.09  end
% 0.70/1.09  permutation0:
% 0.70/1.09     0 ==> 0
% 0.70/1.09     1 ==> 1
% 0.70/1.09  end
% 0.70/1.09  
% 0.70/1.09  resolution: (57) {G1,W5,D2,L2,V0,M2}  { alpha1( skol2 ), ! rhasLeader( iX, 
% 0.70/1.09    iY ) }.
% 0.70/1.09  parent0[1]: (15) {G5,W5,D2,L2,V0,M1} S(11);r(14) { alpha1( skol2 ), ! 
% 0.70/1.09    rhasHead( iX, iY ) }.
% 0.70/1.09  parent1[1]: (5) {G0,W6,D2,L2,V2,M1} I { ! rhasLeader( X, Y ), rhasHead( X, 
% 0.70/1.09    Y ) }.
% 0.70/1.09  substitution0:
% 0.70/1.09  end
% 0.70/1.09  substitution1:
% 0.70/1.09     X := iX
% 0.70/1.09     Y := iY
% 0.70/1.09  end
% 0.70/1.09  
% 0.70/1.09  resolution: (58) {G1,W2,D2,L1,V0,M1}  { alpha1( skol2 ) }.
% 0.70/1.09  parent0[1]: (57) {G1,W5,D2,L2,V0,M2}  { alpha1( skol2 ), ! rhasLeader( iX, 
% 0.70/1.09    iY ) }.
% 0.70/1.09  parent1[0]: (4) {G0,W3,D2,L1,V0,M1} I { rhasLeader( iX, iY ) }.
% 0.70/1.09  substitution0:
% 0.70/1.09  end
% 0.70/1.09  substitution1:
% 0.70/1.09  end
% 0.70/1.09  
% 0.70/1.09  subsumption: (16) {G6,W2,D2,L1,V0,M1} R(15,5);r(4) { alpha1( skol2 ) }.
% 0.70/1.09  parent0: (58) {G1,W2,D2,L1,V0,M1}  { alpha1( skol2 ) }.
% 0.70/1.09  substitution0:
% 0.70/1.09  end
% 0.70/1.09  permutation0:
% 0.70/1.09     0 ==> 0
% 0.70/1.09  end
% 0.70/1.09  
% 0.70/1.09  resolution: (59) {G1,W2,D2,L1,V0,M1}  { xsd_integer( skol2 ) }.
% 0.70/1.09  parent0[1]: (10) {G0,W4,D2,L2,V1,M1} I { xsd_integer( X ), ! alpha1( X )
% 0.70/1.09     }.
% 0.70/1.09  parent1[0]: (16) {G6,W2,D2,L1,V0,M1} R(15,5);r(4) { alpha1( skol2 ) }.
% 0.70/1.10  substitution0:
% 0.70/1.10     X := skol2
% 0.70/1.10  end
% 0.70/1.10  substitution1:
% 0.70/1.10  end
% 0.70/1.10  
% 0.70/1.10  subsumption: (17) {G7,W2,D2,L1,V0,M1} R(16,10) { xsd_integer( skol2 ) }.
% 0.70/1.10  parent0: (59) {G1,W2,D2,L1,V0,M1}  { xsd_integer( skol2 ) }.
% 0.70/1.10  substitution0:
% 0.70/1.10  end
% 0.70/1.10  permutation0:
% 0.70/1.10     0 ==> 0
% 0.70/1.10  end
% 0.70/1.10  
% 0.70/1.10  resolution: (60) {G1,W2,D2,L1,V0,M1}  { ! xsd_string( skol2 ) }.
% 0.70/1.10  parent0[1]: (2) {G0,W4,D2,L2,V1,M1} I { ! xsd_string( X ), ! xsd_integer( X
% 0.70/1.10     ) }.
% 0.70/1.10  parent1[0]: (17) {G7,W2,D2,L1,V0,M1} R(16,10) { xsd_integer( skol2 ) }.
% 0.70/1.10  substitution0:
% 0.70/1.10     X := skol2
% 0.70/1.10  end
% 0.70/1.10  substitution1:
% 0.70/1.10  end
% 0.70/1.10  
% 0.70/1.10  resolution: (61) {G2,W0,D0,L0,V0,M0}  {  }.
% 0.70/1.10  parent0[0]: (60) {G1,W2,D2,L1,V0,M1}  { ! xsd_string( skol2 ) }.
% 0.70/1.10  parent1[0]: (14) {G4,W2,D2,L1,V0,M1} R(13,9);r(3) { xsd_string( skol2 ) }.
% 0.70/1.10  substitution0:
% 0.70/1.10  end
% 0.70/1.10  substitution1:
% 0.70/1.10  end
% 0.70/1.10  
% 0.70/1.10  subsumption: (18) {G8,W0,D0,L0,V0,M0} R(17,2);r(14) {  }.
% 0.70/1.10  parent0: (61) {G2,W0,D0,L0,V0,M0}  {  }.
% 0.70/1.10  substitution0:
% 0.70/1.10  end
% 0.70/1.10  permutation0:
% 0.70/1.10  end
% 0.70/1.10  
% 0.70/1.10  Proof check complete!
% 0.70/1.10  
% 0.70/1.10  Memory use:
% 0.70/1.10  
% 0.70/1.10  space for terms:        370
% 0.70/1.10  space for clauses:      977
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  clauses generated:      26
% 0.70/1.10  clauses kept:           19
% 0.70/1.10  clauses selected:       15
% 0.70/1.10  clauses deleted:        3
% 0.70/1.10  clauses inuse deleted:  0
% 0.70/1.10  
% 0.70/1.10  subsentry:          17
% 0.70/1.10  literals s-matched: 4
% 0.70/1.10  literals matched:   4
% 0.70/1.10  full subsumption:   0
% 0.70/1.10  
% 0.70/1.10  checksum:           -1074823074
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  Bliksem ended
%------------------------------------------------------------------------------