TSTP Solution File: SET625+3 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SET625+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n012.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 : Mon Jul 18 22:50:54 EDT 2022

% Result   : Theorem 0.43s 1.06s
% Output   : Refutation 0.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET625+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13  % Command  : bliksem %s
% 0.12/0.33  % Computer : n012.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % DateTime : Sun Jul 10 11:13:43 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.43/1.05  *** allocated 10000 integers for termspace/termends
% 0.43/1.05  *** allocated 10000 integers for clauses
% 0.43/1.05  *** allocated 10000 integers for justifications
% 0.43/1.05  Bliksem 1.12
% 0.43/1.05  
% 0.43/1.05  
% 0.43/1.05  Automatic Strategy Selection
% 0.43/1.05  
% 0.43/1.05  
% 0.43/1.05  Clauses:
% 0.43/1.05  
% 0.43/1.05  { ! intersect( X, Y ), member( skol1( Z, Y ), Y ) }.
% 0.43/1.05  { ! intersect( X, Y ), member( skol1( X, Y ), X ) }.
% 0.43/1.05  { ! member( Z, X ), ! member( Z, Y ), intersect( X, Y ) }.
% 0.43/1.05  { ! subset( X, Y ), ! member( Z, X ), member( Z, Y ) }.
% 0.43/1.05  { ! member( skol2( Z, Y ), Y ), subset( X, Y ) }.
% 0.43/1.05  { member( skol2( X, Y ), X ), subset( X, Y ) }.
% 0.43/1.05  { ! intersect( X, Y ), intersect( Y, X ) }.
% 0.43/1.05  { subset( X, X ) }.
% 0.43/1.05  { intersect( skol3, skol5 ) }.
% 0.43/1.05  { subset( skol5, skol4 ) }.
% 0.43/1.05  { ! intersect( skol3, skol4 ) }.
% 0.43/1.05  
% 0.43/1.05  percentage equality = 0.000000, percentage horn = 0.909091
% 0.43/1.05  This is a near-Horn, non-equality  problem
% 0.43/1.05  
% 0.43/1.05  
% 0.43/1.05  Options Used:
% 0.43/1.05  
% 0.43/1.05  useres =            1
% 0.43/1.05  useparamod =        0
% 0.43/1.05  useeqrefl =         0
% 0.43/1.05  useeqfact =         0
% 0.43/1.05  usefactor =         1
% 0.43/1.05  usesimpsplitting =  0
% 0.43/1.05  usesimpdemod =      0
% 0.43/1.05  usesimpres =        4
% 0.43/1.05  
% 0.43/1.05  resimpinuse      =  1000
% 0.43/1.05  resimpclauses =     20000
% 0.43/1.05  substype =          standard
% 0.43/1.06  backwardsubs =      1
% 0.43/1.06  selectoldest =      5
% 0.43/1.06  
% 0.43/1.06  litorderings [0] =  split
% 0.43/1.06  litorderings [1] =  liftord
% 0.43/1.06  
% 0.43/1.06  termordering =      none
% 0.43/1.06  
% 0.43/1.06  litapriori =        1
% 0.43/1.06  termapriori =       0
% 0.43/1.06  litaposteriori =    0
% 0.43/1.06  termaposteriori =   0
% 0.43/1.06  demodaposteriori =  0
% 0.43/1.06  ordereqreflfact =   0
% 0.43/1.06  
% 0.43/1.06  litselect =         negative
% 0.43/1.06  
% 0.43/1.06  maxweight =         30000
% 0.43/1.06  maxdepth =          30000
% 0.43/1.06  maxlength =         115
% 0.43/1.06  maxnrvars =         195
% 0.43/1.06  excuselevel =       0
% 0.43/1.06  increasemaxweight = 0
% 0.43/1.06  
% 0.43/1.06  maxselected =       10000000
% 0.43/1.06  maxnrclauses =      10000000
% 0.43/1.06  
% 0.43/1.06  showgenerated =    0
% 0.43/1.06  showkept =         0
% 0.43/1.06  showselected =     0
% 0.43/1.06  showdeleted =      0
% 0.43/1.06  showresimp =       1
% 0.43/1.06  showstatus =       2000
% 0.43/1.06  
% 0.43/1.06  prologoutput =     0
% 0.43/1.06  nrgoals =          5000000
% 0.43/1.06  totalproof =       1
% 0.43/1.06  
% 0.43/1.06  Symbols occurring in the translation:
% 0.43/1.06  
% 0.43/1.06  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.43/1.06  .  [1, 2]      (w:1, o:17, a:1, s:1, b:0), 
% 0.43/1.06  !  [4, 1]      (w:1, o:12, a:1, s:1, b:0), 
% 0.43/1.06  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.43/1.06  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.43/1.06  intersect  [37, 2]      (w:1, o:41, a:1, s:1, b:0), 
% 0.43/1.06  member  [39, 2]      (w:1, o:42, a:1, s:1, b:0), 
% 0.43/1.06  subset  [40, 2]      (w:1, o:43, a:1, s:1, b:0), 
% 0.43/1.06  skol1  [41, 2]      (w:1, o:44, a:1, s:1, b:0), 
% 0.43/1.06  skol2  [42, 2]      (w:1, o:45, a:1, s:1, b:0), 
% 0.43/1.06  skol3  [43, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.43/1.06  skol4  [44, 0]      (w:1, o:10, a:1, s:1, b:0), 
% 0.43/1.06  skol5  [45, 0]      (w:1, o:11, a:1, s:1, b:0).
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  Starting Search:
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  Bliksems!, er is een bewijs:
% 0.43/1.06  % SZS status Theorem
% 0.43/1.06  % SZS output start Refutation
% 0.43/1.06  
% 0.43/1.06  (0) {G0,W9,D3,L2,V3,M1} I { member( skol1( Z, Y ), Y ), ! intersect( X, Y )
% 0.43/1.06     }.
% 0.43/1.06  (1) {G0,W9,D3,L2,V2,M1} I { member( skol1( X, Y ), X ), ! intersect( X, Y )
% 0.43/1.06     }.
% 0.43/1.06  (2) {G0,W11,D2,L3,V3,M1} I { intersect( X, Y ), ! member( Z, X ), ! member
% 0.43/1.06    ( Z, Y ) }.
% 0.43/1.06  (3) {G0,W11,D2,L3,V3,M1} I { ! subset( X, Y ), member( Z, Y ), ! member( Z
% 0.43/1.06    , X ) }.
% 0.43/1.06  (6) {G0,W7,D2,L2,V2,M1} I { intersect( Y, X ), ! intersect( X, Y ) }.
% 0.43/1.06  (8) {G0,W3,D2,L1,V0,M1} I { intersect( skol3, skol5 ) }.
% 0.43/1.06  (9) {G0,W3,D2,L1,V0,M1} I { subset( skol5, skol4 ) }.
% 0.43/1.06  (10) {G0,W4,D2,L1,V0,M1} I { ! intersect( skol3, skol4 ) }.
% 0.43/1.06  (13) {G1,W5,D3,L1,V1,M1} R(0,8) { member( skol1( X, skol5 ), skol5 ) }.
% 0.43/1.06  (18) {G1,W5,D3,L1,V0,M1} R(1,8) { member( skol1( skol3, skol5 ), skol3 )
% 0.43/1.06     }.
% 0.43/1.06  (19) {G2,W9,D3,L2,V1,M1} R(2,18) { intersect( X, skol3 ), ! member( skol1( 
% 0.43/1.06    skol3, skol5 ), X ) }.
% 0.43/1.06  (25) {G2,W9,D3,L2,V2,M1} R(3,13) { member( skol1( Y, skol5 ), X ), ! subset
% 0.43/1.06    ( skol5, X ) }.
% 0.43/1.06  (28) {G3,W5,D3,L1,V1,M1} R(25,9) { member( skol1( X, skol5 ), skol4 ) }.
% 0.43/1.06  (36) {G4,W3,D2,L1,V0,M1} R(19,28) { intersect( skol4, skol3 ) }.
% 0.43/1.06  (38) {G5,W0,D0,L0,V0,M0} R(36,6);r(10) {  }.
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  % SZS output end Refutation
% 0.43/1.06  found a proof!
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  Unprocessed initial clauses:
% 0.43/1.06  
% 0.43/1.06  (40) {G0,W9,D3,L2,V3,M2}  { ! intersect( X, Y ), member( skol1( Z, Y ), Y )
% 0.43/1.06     }.
% 0.43/1.06  (41) {G0,W9,D3,L2,V2,M2}  { ! intersect( X, Y ), member( skol1( X, Y ), X )
% 0.43/1.06     }.
% 0.43/1.06  (42) {G0,W11,D2,L3,V3,M3}  { ! member( Z, X ), ! member( Z, Y ), intersect
% 0.43/1.06    ( X, Y ) }.
% 0.43/1.06  (43) {G0,W11,D2,L3,V3,M3}  { ! subset( X, Y ), ! member( Z, X ), member( Z
% 0.43/1.06    , Y ) }.
% 0.43/1.06  (44) {G0,W9,D3,L2,V3,M2}  { ! member( skol2( Z, Y ), Y ), subset( X, Y )
% 0.43/1.06     }.
% 0.43/1.06  (45) {G0,W8,D3,L2,V2,M2}  { member( skol2( X, Y ), X ), subset( X, Y ) }.
% 0.43/1.06  (46) {G0,W7,D2,L2,V2,M2}  { ! intersect( X, Y ), intersect( Y, X ) }.
% 0.43/1.06  (47) {G0,W3,D2,L1,V1,M1}  { subset( X, X ) }.
% 0.43/1.06  (48) {G0,W3,D2,L1,V0,M1}  { intersect( skol3, skol5 ) }.
% 0.43/1.06  (49) {G0,W3,D2,L1,V0,M1}  { subset( skol5, skol4 ) }.
% 0.43/1.06  (50) {G0,W4,D2,L1,V0,M1}  { ! intersect( skol3, skol4 ) }.
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  Total Proof:
% 0.43/1.06  
% 0.43/1.06  subsumption: (0) {G0,W9,D3,L2,V3,M1} I { member( skol1( Z, Y ), Y ), ! 
% 0.43/1.06    intersect( X, Y ) }.
% 0.43/1.06  parent0: (40) {G0,W9,D3,L2,V3,M2}  { ! intersect( X, Y ), member( skol1( Z
% 0.43/1.06    , Y ), Y ) }.
% 0.43/1.06  substitution0:
% 0.43/1.06     X := X
% 0.43/1.06     Y := Y
% 0.43/1.06     Z := Z
% 0.43/1.06  end
% 0.43/1.06  permutation0:
% 0.43/1.06     0 ==> 1
% 0.43/1.06     1 ==> 0
% 0.43/1.06  end
% 0.43/1.06  
% 0.43/1.06  subsumption: (1) {G0,W9,D3,L2,V2,M1} I { member( skol1( X, Y ), X ), ! 
% 0.43/1.06    intersect( X, Y ) }.
% 0.43/1.06  parent0: (41) {G0,W9,D3,L2,V2,M2}  { ! intersect( X, Y ), member( skol1( X
% 0.43/1.06    , Y ), X ) }.
% 0.43/1.06  substitution0:
% 0.43/1.06     X := X
% 0.43/1.06     Y := Y
% 0.43/1.06  end
% 0.43/1.06  permutation0:
% 0.43/1.06     0 ==> 1
% 0.43/1.06     1 ==> 0
% 0.43/1.06  end
% 0.43/1.06  
% 0.43/1.06  subsumption: (2) {G0,W11,D2,L3,V3,M1} I { intersect( X, Y ), ! member( Z, X
% 0.43/1.06     ), ! member( Z, Y ) }.
% 0.43/1.06  parent0: (42) {G0,W11,D2,L3,V3,M3}  { ! member( Z, X ), ! member( Z, Y ), 
% 0.43/1.06    intersect( X, Y ) }.
% 0.43/1.06  substitution0:
% 0.43/1.06     X := X
% 0.43/1.06     Y := Y
% 0.43/1.06     Z := Z
% 0.43/1.06  end
% 0.43/1.06  permutation0:
% 0.43/1.06     0 ==> 1
% 0.43/1.06     1 ==> 2
% 0.43/1.06     2 ==> 0
% 0.43/1.06  end
% 0.43/1.06  
% 0.43/1.06  subsumption: (3) {G0,W11,D2,L3,V3,M1} I { ! subset( X, Y ), member( Z, Y )
% 0.43/1.06    , ! member( Z, X ) }.
% 0.43/1.06  parent0: (43) {G0,W11,D2,L3,V3,M3}  { ! subset( X, Y ), ! member( Z, X ), 
% 0.43/1.06    member( Z, Y ) }.
% 0.43/1.06  substitution0:
% 0.43/1.06     X := X
% 0.43/1.06     Y := Y
% 0.43/1.06     Z := Z
% 0.43/1.06  end
% 0.43/1.06  permutation0:
% 0.43/1.06     0 ==> 0
% 0.43/1.06     1 ==> 2
% 0.43/1.06     2 ==> 1
% 0.43/1.06  end
% 0.43/1.06  
% 0.43/1.06  subsumption: (6) {G0,W7,D2,L2,V2,M1} I { intersect( Y, X ), ! intersect( X
% 0.43/1.06    , Y ) }.
% 0.43/1.06  parent0: (46) {G0,W7,D2,L2,V2,M2}  { ! intersect( X, Y ), intersect( Y, X )
% 0.43/1.06     }.
% 0.43/1.06  substitution0:
% 0.43/1.06     X := X
% 0.43/1.06     Y := Y
% 0.43/1.06  end
% 0.43/1.06  permutation0:
% 0.43/1.06     0 ==> 1
% 0.43/1.06     1 ==> 0
% 0.43/1.06  end
% 0.43/1.06  
% 0.43/1.06  subsumption: (8) {G0,W3,D2,L1,V0,M1} I { intersect( skol3, skol5 ) }.
% 0.43/1.06  parent0: (48) {G0,W3,D2,L1,V0,M1}  { intersect( skol3, skol5 ) }.
% 0.43/1.06  substitution0:
% 0.43/1.06  end
% 0.43/1.06  permutation0:
% 0.43/1.06     0 ==> 0
% 0.43/1.06  end
% 0.43/1.06  
% 0.43/1.06  subsumption: (9) {G0,W3,D2,L1,V0,M1} I { subset( skol5, skol4 ) }.
% 0.43/1.06  parent0: (49) {G0,W3,D2,L1,V0,M1}  { subset( skol5, skol4 ) }.
% 0.43/1.06  substitution0:
% 0.43/1.06  end
% 0.43/1.06  permutation0:
% 0.43/1.06     0 ==> 0
% 0.43/1.06  end
% 0.43/1.06  
% 0.43/1.06  subsumption: (10) {G0,W4,D2,L1,V0,M1} I { ! intersect( skol3, skol4 ) }.
% 0.43/1.06  parent0: (50) {G0,W4,D2,L1,V0,M1}  { ! intersect( skol3, skol4 ) }.
% 0.43/1.06  substitution0:
% 0.43/1.06  end
% 0.43/1.06  permutation0:
% 0.43/1.06     0 ==> 0
% 0.43/1.06  end
% 0.43/1.06  
% 0.43/1.06  resolution: (57) {G1,W5,D3,L1,V1,M1}  { member( skol1( X, skol5 ), skol5 )
% 0.43/1.06     }.
% 0.43/1.06  parent0[1]: (0) {G0,W9,D3,L2,V3,M1} I { member( skol1( Z, Y ), Y ), ! 
% 0.43/1.06    intersect( X, Y ) }.
% 0.43/1.06  parent1[0]: (8) {G0,W3,D2,L1,V0,M1} I { intersect( skol3, skol5 ) }.
% 0.43/1.06  substitution0:
% 0.43/1.06     X := skol3
% 0.43/1.06     Y := skol5
% 0.43/1.06     Z := X
% 0.43/1.06  end
% 0.43/1.06  substitution1:
% 0.43/1.06  end
% 0.43/1.06  
% 0.43/1.06  subsumption: (13) {G1,W5,D3,L1,V1,M1} R(0,8) { member( skol1( X, skol5 ), 
% 0.43/1.06    skol5 ) }.
% 0.43/1.06  parent0: (57) {G1,W5,D3,L1,V1,M1}  { member( skol1( X, skol5 ), skol5 ) }.
% 0.43/1.06  substitution0:
% 0.43/1.06     X := X
% 0.43/1.06  end
% 0.43/1.06  permutation0:
% 0.43/1.06     0 ==> 0
% 0.43/1.06  end
% 0.43/1.06  
% 0.43/1.06  resolution: (58) {G1,W5,D3,L1,V0,M1}  { member( skol1( skol3, skol5 ), 
% 0.43/1.06    skol3 ) }.
% 0.43/1.06  parent0[1]: (1) {G0,W9,D3,L2,V2,M1} I { member( skol1( X, Y ), X ), ! 
% 0.43/1.06    intersect( X, Y ) }.
% 0.43/1.06  parent1[0]: (8) {G0,W3,D2,L1,V0,M1} I { intersect( skol3, skol5 ) }.
% 0.43/1.06  substitution0:
% 0.43/1.06     X := skol3
% 0.43/1.06     Y := skol5
% 0.43/1.06  end
% 0.43/1.06  substitution1:
% 0.43/1.06  end
% 0.43/1.06  
% 0.43/1.06  subsumption: (18) {G1,W5,D3,L1,V0,M1} R(1,8) { member( skol1( skol3, skol5
% 0.43/1.06     ), skol3 ) }.
% 0.43/1.06  parent0: (58) {G1,W5,D3,L1,V0,M1}  { member( skol1( skol3, skol5 ), skol3 )
% 0.43/1.06     }.
% 0.43/1.06  substitution0:
% 0.43/1.06  end
% 0.43/1.06  permutation0:
% 0.43/1.06     0 ==> 0
% 0.43/1.06  end
% 0.43/1.06  
% 0.43/1.06  resolution: (60) {G1,W9,D3,L2,V1,M2}  { intersect( X, skol3 ), ! member( 
% 0.43/1.06    skol1( skol3, skol5 ), X ) }.
% 0.43/1.06  parent0[2]: (2) {G0,W11,D2,L3,V3,M1} I { intersect( X, Y ), ! member( Z, X
% 0.43/1.06     ), ! member( Z, Y ) }.
% 0.43/1.06  parent1[0]: (18) {G1,W5,D3,L1,V0,M1} R(1,8) { member( skol1( skol3, skol5 )
% 0.43/1.06    , skol3 ) }.
% 0.43/1.06  substitution0:
% 0.43/1.06     X := X
% 0.43/1.06     Y := skol3
% 0.43/1.06     Z := skol1( skol3, skol5 )
% 0.43/1.06  end
% 0.43/1.06  substitution1:
% 0.43/1.06  end
% 0.43/1.06  
% 0.43/1.06  subsumption: (19) {G2,W9,D3,L2,V1,M1} R(2,18) { intersect( X, skol3 ), ! 
% 0.43/1.06    member( skol1( skol3, skol5 ), X ) }.
% 0.43/1.06  parent0: (60) {G1,W9,D3,L2,V1,M2}  { intersect( X, skol3 ), ! member( skol1
% 0.43/1.06    ( skol3, skol5 ), X ) }.
% 0.43/1.06  substitution0:
% 0.43/1.06     X := X
% 0.43/1.06  end
% 0.43/1.06  permutation0:
% 0.43/1.06     0 ==> 0
% 0.43/1.06     1 ==> 1
% 0.43/1.06  end
% 0.43/1.06  
% 0.43/1.06  resolution: (61) {G1,W9,D3,L2,V2,M2}  { ! subset( skol5, X ), member( skol1
% 0.43/1.06    ( Y, skol5 ), X ) }.
% 0.43/1.06  parent0[2]: (3) {G0,W11,D2,L3,V3,M1} I { ! subset( X, Y ), member( Z, Y ), 
% 0.43/1.06    ! member( Z, X ) }.
% 0.43/1.06  parent1[0]: (13) {G1,W5,D3,L1,V1,M1} R(0,8) { member( skol1( X, skol5 ), 
% 0.43/1.06    skol5 ) }.
% 0.43/1.06  substitution0:
% 0.43/1.06     X := skol5
% 0.43/1.06     Y := X
% 0.43/1.06     Z := skol1( Y, skol5 )
% 0.43/1.06  end
% 0.43/1.06  substitution1:
% 0.43/1.06     X := Y
% 0.43/1.06  end
% 0.43/1.06  
% 0.43/1.06  subsumption: (25) {G2,W9,D3,L2,V2,M1} R(3,13) { member( skol1( Y, skol5 ), 
% 0.43/1.06    X ), ! subset( skol5, X ) }.
% 0.43/1.06  parent0: (61) {G1,W9,D3,L2,V2,M2}  { ! subset( skol5, X ), member( skol1( Y
% 0.43/1.06    , skol5 ), X ) }.
% 0.43/1.06  substitution0:
% 0.43/1.06     X := X
% 0.43/1.06     Y := Y
% 0.43/1.06  end
% 0.43/1.06  permutation0:
% 0.43/1.06     0 ==> 1
% 0.43/1.06     1 ==> 0
% 0.43/1.06  end
% 0.43/1.06  
% 0.43/1.06  resolution: (62) {G1,W5,D3,L1,V1,M1}  { member( skol1( X, skol5 ), skol4 )
% 0.43/1.06     }.
% 0.43/1.06  parent0[1]: (25) {G2,W9,D3,L2,V2,M1} R(3,13) { member( skol1( Y, skol5 ), X
% 0.43/1.06     ), ! subset( skol5, X ) }.
% 0.43/1.06  parent1[0]: (9) {G0,W3,D2,L1,V0,M1} I { subset( skol5, skol4 ) }.
% 0.43/1.06  substitution0:
% 0.43/1.06     X := skol4
% 0.43/1.06     Y := X
% 0.43/1.06  end
% 0.43/1.06  substitution1:
% 0.43/1.06  end
% 0.43/1.06  
% 0.43/1.06  subsumption: (28) {G3,W5,D3,L1,V1,M1} R(25,9) { member( skol1( X, skol5 ), 
% 0.43/1.06    skol4 ) }.
% 0.43/1.06  parent0: (62) {G1,W5,D3,L1,V1,M1}  { member( skol1( X, skol5 ), skol4 ) }.
% 0.43/1.06  substitution0:
% 0.43/1.06     X := X
% 0.43/1.06  end
% 0.43/1.06  permutation0:
% 0.43/1.06     0 ==> 0
% 0.43/1.06  end
% 0.43/1.06  
% 0.43/1.06  resolution: (63) {G3,W3,D2,L1,V0,M1}  { intersect( skol4, skol3 ) }.
% 0.43/1.06  parent0[1]: (19) {G2,W9,D3,L2,V1,M1} R(2,18) { intersect( X, skol3 ), ! 
% 0.43/1.06    member( skol1( skol3, skol5 ), X ) }.
% 0.43/1.06  parent1[0]: (28) {G3,W5,D3,L1,V1,M1} R(25,9) { member( skol1( X, skol5 ), 
% 0.43/1.06    skol4 ) }.
% 0.43/1.06  substitution0:
% 0.43/1.06     X := skol4
% 0.43/1.06  end
% 0.43/1.06  substitution1:
% 0.43/1.06     X := skol3
% 0.43/1.06  end
% 0.43/1.06  
% 0.43/1.06  subsumption: (36) {G4,W3,D2,L1,V0,M1} R(19,28) { intersect( skol4, skol3 )
% 0.43/1.06     }.
% 0.43/1.06  parent0: (63) {G3,W3,D2,L1,V0,M1}  { intersect( skol4, skol3 ) }.
% 0.43/1.06  substitution0:
% 0.43/1.06  end
% 0.43/1.06  permutation0:
% 0.43/1.06     0 ==> 0
% 0.43/1.06  end
% 0.43/1.06  
% 0.43/1.06  resolution: (64) {G1,W3,D2,L1,V0,M1}  { intersect( skol3, skol4 ) }.
% 0.43/1.06  parent0[1]: (6) {G0,W7,D2,L2,V2,M1} I { intersect( Y, X ), ! intersect( X, 
% 0.43/1.06    Y ) }.
% 0.43/1.06  parent1[0]: (36) {G4,W3,D2,L1,V0,M1} R(19,28) { intersect( skol4, skol3 )
% 0.43/1.06     }.
% 0.43/1.06  substitution0:
% 0.43/1.06     X := skol4
% 0.43/1.06     Y := skol3
% 0.43/1.06  end
% 0.43/1.06  substitution1:
% 0.43/1.06  end
% 0.43/1.06  
% 0.43/1.06  resolution: (65) {G1,W0,D0,L0,V0,M0}  {  }.
% 0.43/1.06  parent0[0]: (10) {G0,W4,D2,L1,V0,M1} I { ! intersect( skol3, skol4 ) }.
% 0.43/1.06  parent1[0]: (64) {G1,W3,D2,L1,V0,M1}  { intersect( skol3, skol4 ) }.
% 0.43/1.06  substitution0:
% 0.43/1.06  end
% 0.43/1.06  substitution1:
% 0.43/1.06  end
% 0.43/1.06  
% 0.43/1.06  subsumption: (38) {G5,W0,D0,L0,V0,M0} R(36,6);r(10) {  }.
% 0.43/1.06  parent0: (65) {G1,W0,D0,L0,V0,M0}  {  }.
% 0.43/1.06  substitution0:
% 0.43/1.06  end
% 0.43/1.06  permutation0:
% 0.43/1.06  end
% 0.43/1.06  
% 0.43/1.06  Proof check complete!
% 0.43/1.06  
% 0.43/1.06  Memory use:
% 0.43/1.06  
% 0.43/1.06  space for terms:        422
% 0.43/1.06  space for clauses:      2002
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  clauses generated:      59
% 0.43/1.06  clauses kept:           39
% 0.43/1.06  clauses selected:       27
% 0.43/1.06  clauses deleted:        0
% 0.43/1.06  clauses inuse deleted:  0
% 0.43/1.06  
% 0.43/1.06  subsentry:          41
% 0.43/1.06  literals s-matched: 30
% 0.43/1.06  literals matched:   20
% 0.43/1.06  full subsumption:   0
% 0.43/1.06  
% 0.43/1.06  checksum:           1965559574
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  Bliksem ended
%------------------------------------------------------------------------------