TSTP Solution File: PHI009+1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : PHI009+1 : TPTP v8.1.0. Released v7.2.0.
% 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 : Mon Jul 18 16:43:06 EDT 2022

% Result   : Theorem 0.73s 1.12s
% Output   : Refutation 0.73s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : PHI009+1 : TPTP v8.1.0. Released v7.2.0.
% 0.07/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n024.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 : Thu Jun  2 01:26:06 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.73/1.12  *** allocated 10000 integers for termspace/termends
% 0.73/1.12  *** allocated 10000 integers for clauses
% 0.73/1.12  *** allocated 10000 integers for justifications
% 0.73/1.12  Bliksem 1.12
% 0.73/1.12  
% 0.73/1.12  
% 0.73/1.12  Automatic Strategy Selection
% 0.73/1.12  
% 0.73/1.12  
% 0.73/1.12  Clauses:
% 0.73/1.12  
% 0.73/1.12  { ! property( X ), ! property( Y ), ! object( Z ), ! is_the( Z, X ), ! 
% 0.73/1.12    exemplifies_property( Y, Z ), alpha1( X, Y ) }.
% 0.73/1.12  { ! property( X ), ! property( Y ), ! object( Z ), ! alpha1( X, Y ), is_the
% 0.73/1.12    ( Z, X ) }.
% 0.73/1.12  { ! property( X ), ! property( Y ), ! object( Z ), ! alpha1( X, Y ), 
% 0.73/1.12    exemplifies_property( Y, Z ) }.
% 0.73/1.12  { ! alpha1( X, Y ), object( skol1( Z, T ) ) }.
% 0.73/1.12  { ! alpha1( X, Y ), alpha3( X, Y, skol1( X, Y ) ) }.
% 0.73/1.12  { ! object( Z ), ! alpha3( X, Y, Z ), alpha1( X, Y ) }.
% 0.73/1.12  { ! alpha3( X, Y, Z ), exemplifies_property( X, Z ) }.
% 0.73/1.12  { ! alpha3( X, Y, Z ), alpha5( X, Y, Z ) }.
% 0.73/1.12  { ! exemplifies_property( X, Z ), ! alpha5( X, Y, Z ), alpha3( X, Y, Z ) }
% 0.73/1.12    .
% 0.73/1.12  { ! alpha5( X, Y, Z ), alpha2( X, Z ) }.
% 0.73/1.12  { ! alpha5( X, Y, Z ), exemplifies_property( Y, Z ) }.
% 0.73/1.12  { ! alpha2( X, Z ), ! exemplifies_property( Y, Z ), alpha5( X, Y, Z ) }.
% 0.73/1.12  { ! alpha2( X, Y ), ! object( Z ), alpha4( X, Y, Z ) }.
% 0.73/1.12  { object( skol2( Z, T ) ), alpha2( X, Y ) }.
% 0.73/1.12  { ! alpha4( X, Y, skol2( X, Y ) ), alpha2( X, Y ) }.
% 0.73/1.12  { ! alpha4( X, Y, Z ), ! exemplifies_property( X, Z ), Z = Y }.
% 0.73/1.12  { exemplifies_property( X, Z ), alpha4( X, Y, Z ) }.
% 0.73/1.12  { ! Z = Y, alpha4( X, Y, Z ) }.
% 0.73/1.12  { property( skol3 ) }.
% 0.73/1.12  { object( skol4 ) }.
% 0.73/1.12  { exemplifies_property( skol3, skol4 ) }.
% 0.73/1.12  { ! object( X ), ! exemplifies_property( skol3, X ), X = skol4 }.
% 0.73/1.12  { ! object( X ), ! is_the( X, skol3 ) }.
% 0.73/1.12  
% 0.73/1.12  percentage equality = 0.050847, percentage horn = 0.913043
% 0.73/1.12  This is a problem with some equality
% 0.73/1.12  
% 0.73/1.12  
% 0.73/1.12  
% 0.73/1.12  Options Used:
% 0.73/1.12  
% 0.73/1.12  useres =            1
% 0.73/1.12  useparamod =        1
% 0.73/1.12  useeqrefl =         1
% 0.73/1.12  useeqfact =         1
% 0.73/1.12  usefactor =         1
% 0.73/1.12  usesimpsplitting =  0
% 0.73/1.12  usesimpdemod =      5
% 0.73/1.12  usesimpres =        3
% 0.73/1.12  
% 0.73/1.12  resimpinuse      =  1000
% 0.73/1.12  resimpclauses =     20000
% 0.73/1.12  substype =          eqrewr
% 0.73/1.12  backwardsubs =      1
% 0.73/1.12  selectoldest =      5
% 0.73/1.12  
% 0.73/1.12  litorderings [0] =  split
% 0.73/1.12  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.73/1.12  
% 0.73/1.12  termordering =      kbo
% 0.73/1.12  
% 0.73/1.12  litapriori =        0
% 0.73/1.12  termapriori =       1
% 0.73/1.12  litaposteriori =    0
% 0.73/1.12  termaposteriori =   0
% 0.73/1.12  demodaposteriori =  0
% 0.73/1.12  ordereqreflfact =   0
% 0.73/1.12  
% 0.73/1.12  litselect =         negord
% 0.73/1.12  
% 0.73/1.12  maxweight =         15
% 0.73/1.12  maxdepth =          30000
% 0.73/1.12  maxlength =         115
% 0.73/1.12  maxnrvars =         195
% 0.73/1.12  excuselevel =       1
% 0.73/1.12  increasemaxweight = 1
% 0.73/1.12  
% 0.73/1.12  maxselected =       10000000
% 0.73/1.12  maxnrclauses =      10000000
% 0.73/1.12  
% 0.73/1.12  showgenerated =    0
% 0.73/1.12  showkept =         0
% 0.73/1.12  showselected =     0
% 0.73/1.12  showdeleted =      0
% 0.73/1.12  showresimp =       1
% 0.73/1.12  showstatus =       2000
% 0.73/1.12  
% 0.73/1.12  prologoutput =     0
% 0.73/1.12  nrgoals =          5000000
% 0.73/1.12  totalproof =       1
% 0.73/1.12  
% 0.73/1.12  Symbols occurring in the translation:
% 0.73/1.12  
% 0.73/1.12  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.73/1.12  .  [1, 2]      (w:1, o:21, a:1, s:1, b:0), 
% 0.73/1.12  !  [4, 1]      (w:0, o:14, a:1, s:1, b:0), 
% 0.73/1.12  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.73/1.12  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.73/1.12  property  [38, 1]      (w:1, o:20, a:1, s:1, b:0), 
% 0.73/1.12  object  [39, 1]      (w:1, o:19, a:1, s:1, b:0), 
% 0.73/1.12  is_the  [40, 2]      (w:1, o:45, a:1, s:1, b:0), 
% 0.73/1.12  exemplifies_property  [41, 2]      (w:1, o:46, a:1, s:1, b:0), 
% 0.73/1.12  alpha1  [45, 2]      (w:1, o:47, a:1, s:1, b:1), 
% 0.73/1.12  alpha2  [46, 2]      (w:1, o:48, a:1, s:1, b:1), 
% 0.73/1.12  alpha3  [47, 3]      (w:1, o:51, a:1, s:1, b:1), 
% 0.73/1.12  alpha4  [48, 3]      (w:1, o:52, a:1, s:1, b:1), 
% 0.73/1.12  alpha5  [49, 3]      (w:1, o:53, a:1, s:1, b:1), 
% 0.73/1.12  skol1  [50, 2]      (w:1, o:49, a:1, s:1, b:1), 
% 0.73/1.12  skol2  [51, 2]      (w:1, o:50, a:1, s:1, b:1), 
% 0.73/1.12  skol3  [52, 0]      (w:1, o:12, a:1, s:1, b:1), 
% 0.73/1.12  skol4  [53, 0]      (w:1, o:13, a:1, s:1, b:1).
% 0.73/1.12  
% 0.73/1.12  
% 0.73/1.12  Starting Search:
% 0.73/1.12  
% 0.73/1.12  
% 0.73/1.12  Bliksems!, er is een bewijs:
% 0.73/1.12  % SZS status Theorem
% 0.73/1.12  % SZS output start Refutation
% 0.73/1.12  
% 0.73/1.12  (1) {G0,W12,D2,L5,V3,M5} I { ! property( X ), ! property( Y ), ! object( Z
% 0.73/1.12     ), ! alpha1( X, Y ), is_the( Z, X ) }.
% 0.73/1.12  (5) {G0,W9,D2,L3,V3,M3} I { ! object( Z ), ! alpha3( X, Y, Z ), alpha1( X, 
% 0.73/1.12    Y ) }.
% 0.73/1.12  (8) {G0,W11,D2,L3,V3,M3} I { ! exemplifies_property( X, Z ), ! alpha5( X, Y
% 0.73/1.12    , Z ), alpha3( X, Y, Z ) }.
% 0.73/1.12  (11) {G0,W10,D2,L3,V3,M3} I { ! alpha2( X, Z ), ! exemplifies_property( Y, 
% 0.73/1.12    Z ), alpha5( X, Y, Z ) }.
% 0.73/1.12  (13) {G0,W7,D3,L2,V4,M2} I { object( skol2( Z, T ) ), alpha2( X, Y ) }.
% 0.73/1.12  (14) {G0,W9,D3,L2,V2,M2} I { ! alpha4( X, Y, skol2( X, Y ) ), alpha2( X, Y
% 0.73/1.12     ) }.
% 0.73/1.12  (16) {G0,W7,D2,L2,V3,M2} I { exemplifies_property( X, Z ), alpha4( X, Y, Z
% 0.73/1.12     ) }.
% 0.73/1.12  (17) {G0,W7,D2,L2,V3,M2} I { ! Z = Y, alpha4( X, Y, Z ) }.
% 0.73/1.12  (18) {G0,W2,D2,L1,V0,M1} I { property( skol3 ) }.
% 0.73/1.12  (19) {G0,W2,D2,L1,V0,M1} I { object( skol4 ) }.
% 0.73/1.12  (20) {G0,W3,D2,L1,V0,M1} I { exemplifies_property( skol3, skol4 ) }.
% 0.73/1.12  (21) {G0,W8,D2,L3,V1,M3} I { ! object( X ), ! exemplifies_property( skol3, 
% 0.73/1.12    X ), X = skol4 }.
% 0.73/1.12  (22) {G0,W5,D2,L2,V1,M2} I { ! object( X ), ! is_the( X, skol3 ) }.
% 0.73/1.12  (39) {G1,W7,D2,L3,V2,M3} R(1,22);f;r(18) { ! property( X ), ! object( Y ), 
% 0.73/1.12    ! alpha1( skol3, X ) }.
% 0.73/1.12  (48) {G2,W5,D2,L2,V1,M2} R(39,18) { ! object( X ), ! alpha1( skol3, skol3 )
% 0.73/1.12     }.
% 0.73/1.12  (50) {G3,W3,D2,L1,V0,M1} R(48,19) { ! alpha1( skol3, skol3 ) }.
% 0.73/1.12  (129) {G4,W6,D2,L2,V1,M2} R(5,50) { ! object( X ), ! alpha3( skol3, skol3, 
% 0.73/1.12    X ) }.
% 0.73/1.12  (139) {G5,W4,D2,L1,V0,M1} R(129,19) { ! alpha3( skol3, skol3, skol4 ) }.
% 0.73/1.12  (152) {G6,W4,D2,L1,V0,M1} R(8,139);r(20) { ! alpha5( skol3, skol3, skol4 )
% 0.73/1.12     }.
% 0.73/1.12  (174) {G7,W3,D2,L1,V0,M1} R(11,152);r(20) { ! alpha2( skol3, skol4 ) }.
% 0.73/1.12  (188) {G8,W4,D3,L1,V2,M1} R(174,13) { object( skol2( X, Y ) ) }.
% 0.73/1.12  (209) {G8,W6,D3,L1,V0,M1} R(14,174) { ! alpha4( skol3, skol4, skol2( skol3
% 0.73/1.12    , skol4 ) ) }.
% 0.73/1.12  (213) {G9,W5,D3,L1,V0,M1} R(209,16) { exemplifies_property( skol3, skol2( 
% 0.73/1.12    skol3, skol4 ) ) }.
% 0.73/1.12  (214) {G9,W5,D3,L1,V0,M1} R(209,17) { ! skol2( skol3, skol4 ) ==> skol4 }.
% 0.73/1.12  (217) {G10,W5,D3,L1,V0,M1} R(213,21);r(188) { skol2( skol3, skol4 ) ==> 
% 0.73/1.12    skol4 }.
% 0.73/1.12  (219) {G11,W0,D0,L0,V0,M0} S(217);r(214) {  }.
% 0.73/1.12  
% 0.73/1.12  
% 0.73/1.12  % SZS output end Refutation
% 0.73/1.12  found a proof!
% 0.73/1.12  
% 0.73/1.12  *** allocated 15000 integers for clauses
% 0.73/1.12  
% 0.73/1.12  Unprocessed initial clauses:
% 0.73/1.12  
% 0.73/1.12  (221) {G0,W15,D2,L6,V3,M6}  { ! property( X ), ! property( Y ), ! object( Z
% 0.73/1.12     ), ! is_the( Z, X ), ! exemplifies_property( Y, Z ), alpha1( X, Y ) }.
% 0.73/1.12  (222) {G0,W12,D2,L5,V3,M5}  { ! property( X ), ! property( Y ), ! object( Z
% 0.73/1.12     ), ! alpha1( X, Y ), is_the( Z, X ) }.
% 0.73/1.12  (223) {G0,W12,D2,L5,V3,M5}  { ! property( X ), ! property( Y ), ! object( Z
% 0.73/1.12     ), ! alpha1( X, Y ), exemplifies_property( Y, Z ) }.
% 0.73/1.12  (224) {G0,W7,D3,L2,V4,M2}  { ! alpha1( X, Y ), object( skol1( Z, T ) ) }.
% 0.73/1.12  (225) {G0,W9,D3,L2,V2,M2}  { ! alpha1( X, Y ), alpha3( X, Y, skol1( X, Y )
% 0.73/1.12     ) }.
% 0.73/1.12  (226) {G0,W9,D2,L3,V3,M3}  { ! object( Z ), ! alpha3( X, Y, Z ), alpha1( X
% 0.73/1.12    , Y ) }.
% 0.73/1.12  (227) {G0,W7,D2,L2,V3,M2}  { ! alpha3( X, Y, Z ), exemplifies_property( X, 
% 0.73/1.12    Z ) }.
% 0.73/1.12  (228) {G0,W8,D2,L2,V3,M2}  { ! alpha3( X, Y, Z ), alpha5( X, Y, Z ) }.
% 0.73/1.12  (229) {G0,W11,D2,L3,V3,M3}  { ! exemplifies_property( X, Z ), ! alpha5( X, 
% 0.73/1.12    Y, Z ), alpha3( X, Y, Z ) }.
% 0.73/1.12  (230) {G0,W7,D2,L2,V3,M2}  { ! alpha5( X, Y, Z ), alpha2( X, Z ) }.
% 0.73/1.12  (231) {G0,W7,D2,L2,V3,M2}  { ! alpha5( X, Y, Z ), exemplifies_property( Y, 
% 0.73/1.12    Z ) }.
% 0.73/1.12  (232) {G0,W10,D2,L3,V3,M3}  { ! alpha2( X, Z ), ! exemplifies_property( Y, 
% 0.73/1.12    Z ), alpha5( X, Y, Z ) }.
% 0.73/1.12  (233) {G0,W9,D2,L3,V3,M3}  { ! alpha2( X, Y ), ! object( Z ), alpha4( X, Y
% 0.73/1.12    , Z ) }.
% 0.73/1.12  (234) {G0,W7,D3,L2,V4,M2}  { object( skol2( Z, T ) ), alpha2( X, Y ) }.
% 0.73/1.12  (235) {G0,W9,D3,L2,V2,M2}  { ! alpha4( X, Y, skol2( X, Y ) ), alpha2( X, Y
% 0.73/1.12     ) }.
% 0.73/1.12  (236) {G0,W10,D2,L3,V3,M3}  { ! alpha4( X, Y, Z ), ! exemplifies_property( 
% 0.73/1.12    X, Z ), Z = Y }.
% 0.73/1.12  (237) {G0,W7,D2,L2,V3,M2}  { exemplifies_property( X, Z ), alpha4( X, Y, Z
% 0.73/1.12     ) }.
% 0.73/1.12  (238) {G0,W7,D2,L2,V3,M2}  { ! Z = Y, alpha4( X, Y, Z ) }.
% 0.73/1.12  (239) {G0,W2,D2,L1,V0,M1}  { property( skol3 ) }.
% 0.73/1.12  (240) {G0,W2,D2,L1,V0,M1}  { object( skol4 ) }.
% 0.73/1.12  (241) {G0,W3,D2,L1,V0,M1}  { exemplifies_property( skol3, skol4 ) }.
% 0.73/1.12  (242) {G0,W8,D2,L3,V1,M3}  { ! object( X ), ! exemplifies_property( skol3, 
% 0.73/1.12    X ), X = skol4 }.
% 0.73/1.12  (243) {G0,W5,D2,L2,V1,M2}  { ! object( X ), ! is_the( X, skol3 ) }.
% 0.73/1.12  
% 0.73/1.12  
% 0.73/1.12  Total Proof:
% 0.73/1.12  
% 0.73/1.12  subsumption: (1) {G0,W12,D2,L5,V3,M5} I { ! property( X ), ! property( Y )
% 0.73/1.12    , ! object( Z ), ! alpha1( X, Y ), is_the( Z, X ) }.
% 0.73/1.12  parent0: (222) {G0,W12,D2,L5,V3,M5}  { ! property( X ), ! property( Y ), ! 
% 0.73/1.12    object( Z ), ! alpha1( X, Y ), is_the( Z, X ) }.
% 0.73/1.12  substitution0:
% 0.73/1.12     X := X
% 0.73/1.12     Y := Y
% 0.73/1.12     Z := Z
% 0.73/1.12  end
% 0.73/1.12  permutation0:
% 0.73/1.12     0 ==> 0
% 0.73/1.12     1 ==> 1
% 0.73/1.12     2 ==> 2
% 0.73/1.12     3 ==> 3
% 0.73/1.12     4 ==> 4
% 0.73/1.12  end
% 0.73/1.12  
% 0.73/1.12  subsumption: (5) {G0,W9,D2,L3,V3,M3} I { ! object( Z ), ! alpha3( X, Y, Z )
% 0.73/1.12    , alpha1( X, Y ) }.
% 0.73/1.12  parent0: (226) {G0,W9,D2,L3,V3,M3}  { ! object( Z ), ! alpha3( X, Y, Z ), 
% 0.73/1.12    alpha1( X, Y ) }.
% 0.73/1.12  substitution0:
% 0.73/1.12     X := X
% 0.73/1.12     Y := Y
% 0.73/1.12     Z := Z
% 0.73/1.12  end
% 0.73/1.12  permutation0:
% 0.73/1.12     0 ==> 0
% 0.73/1.12     1 ==> 1
% 0.73/1.12     2 ==> 2
% 0.73/1.12  end
% 0.73/1.12  
% 0.73/1.12  subsumption: (8) {G0,W11,D2,L3,V3,M3} I { ! exemplifies_property( X, Z ), !
% 0.73/1.12     alpha5( X, Y, Z ), alpha3( X, Y, Z ) }.
% 0.73/1.12  parent0: (229) {G0,W11,D2,L3,V3,M3}  { ! exemplifies_property( X, Z ), ! 
% 0.73/1.12    alpha5( X, Y, Z ), alpha3( X, Y, Z ) }.
% 0.73/1.12  substitution0:
% 0.73/1.12     X := X
% 0.73/1.12     Y := Y
% 0.73/1.12     Z := Z
% 0.73/1.12  end
% 0.73/1.12  permutation0:
% 0.73/1.12     0 ==> 0
% 0.73/1.12     1 ==> 1
% 0.73/1.12     2 ==> 2
% 0.73/1.12  end
% 0.73/1.12  
% 0.73/1.12  subsumption: (11) {G0,W10,D2,L3,V3,M3} I { ! alpha2( X, Z ), ! 
% 0.73/1.12    exemplifies_property( Y, Z ), alpha5( X, Y, Z ) }.
% 0.73/1.12  parent0: (232) {G0,W10,D2,L3,V3,M3}  { ! alpha2( X, Z ), ! 
% 0.73/1.12    exemplifies_property( Y, Z ), alpha5( X, Y, Z ) }.
% 0.73/1.12  substitution0:
% 0.73/1.12     X := X
% 0.73/1.12     Y := Y
% 0.73/1.12     Z := Z
% 0.73/1.12  end
% 0.73/1.12  permutation0:
% 0.73/1.12     0 ==> 0
% 0.73/1.12     1 ==> 1
% 0.73/1.12     2 ==> 2
% 0.73/1.12  end
% 0.73/1.12  
% 0.73/1.12  subsumption: (13) {G0,W7,D3,L2,V4,M2} I { object( skol2( Z, T ) ), alpha2( 
% 0.73/1.12    X, Y ) }.
% 0.73/1.12  parent0: (234) {G0,W7,D3,L2,V4,M2}  { object( skol2( Z, T ) ), alpha2( X, Y
% 0.73/1.12     ) }.
% 0.73/1.12  substitution0:
% 0.73/1.12     X := X
% 0.73/1.12     Y := Y
% 0.73/1.12     Z := Z
% 0.73/1.12     T := T
% 0.73/1.12  end
% 0.73/1.12  permutation0:
% 0.73/1.12     0 ==> 0
% 0.73/1.12     1 ==> 1
% 0.73/1.12  end
% 0.73/1.12  
% 0.73/1.12  subsumption: (14) {G0,W9,D3,L2,V2,M2} I { ! alpha4( X, Y, skol2( X, Y ) ), 
% 0.73/1.12    alpha2( X, Y ) }.
% 0.73/1.12  parent0: (235) {G0,W9,D3,L2,V2,M2}  { ! alpha4( X, Y, skol2( X, Y ) ), 
% 0.73/1.12    alpha2( X, Y ) }.
% 0.73/1.12  substitution0:
% 0.73/1.12     X := X
% 0.73/1.12     Y := Y
% 0.73/1.12  end
% 0.73/1.12  permutation0:
% 0.73/1.12     0 ==> 0
% 0.73/1.12     1 ==> 1
% 0.73/1.12  end
% 0.73/1.12  
% 0.73/1.12  subsumption: (16) {G0,W7,D2,L2,V3,M2} I { exemplifies_property( X, Z ), 
% 0.73/1.12    alpha4( X, Y, Z ) }.
% 0.73/1.12  parent0: (237) {G0,W7,D2,L2,V3,M2}  { exemplifies_property( X, Z ), alpha4
% 0.73/1.12    ( X, Y, Z ) }.
% 0.73/1.12  substitution0:
% 0.73/1.12     X := X
% 0.73/1.12     Y := Y
% 0.73/1.12     Z := Z
% 0.73/1.12  end
% 0.73/1.12  permutation0:
% 0.73/1.12     0 ==> 0
% 0.73/1.12     1 ==> 1
% 0.73/1.12  end
% 0.73/1.12  
% 0.73/1.12  subsumption: (17) {G0,W7,D2,L2,V3,M2} I { ! Z = Y, alpha4( X, Y, Z ) }.
% 0.73/1.12  parent0: (238) {G0,W7,D2,L2,V3,M2}  { ! Z = Y, alpha4( X, Y, Z ) }.
% 0.73/1.12  substitution0:
% 0.73/1.12     X := X
% 0.73/1.12     Y := Y
% 0.73/1.12     Z := Z
% 0.73/1.12  end
% 0.73/1.12  permutation0:
% 0.73/1.12     0 ==> 0
% 0.73/1.12     1 ==> 1
% 0.73/1.12  end
% 0.73/1.12  
% 0.73/1.12  subsumption: (18) {G0,W2,D2,L1,V0,M1} I { property( skol3 ) }.
% 0.73/1.12  parent0: (239) {G0,W2,D2,L1,V0,M1}  { property( skol3 ) }.
% 0.73/1.12  substitution0:
% 0.73/1.12  end
% 0.73/1.12  permutation0:
% 0.73/1.12     0 ==> 0
% 0.73/1.12  end
% 0.73/1.12  
% 0.73/1.12  subsumption: (19) {G0,W2,D2,L1,V0,M1} I { object( skol4 ) }.
% 0.73/1.12  parent0: (240) {G0,W2,D2,L1,V0,M1}  { object( skol4 ) }.
% 0.73/1.12  substitution0:
% 0.73/1.12  end
% 0.73/1.12  permutation0:
% 0.73/1.12     0 ==> 0
% 0.73/1.12  end
% 0.73/1.12  
% 0.73/1.12  subsumption: (20) {G0,W3,D2,L1,V0,M1} I { exemplifies_property( skol3, 
% 0.73/1.12    skol4 ) }.
% 0.73/1.12  parent0: (241) {G0,W3,D2,L1,V0,M1}  { exemplifies_property( skol3, skol4 )
% 0.73/1.12     }.
% 0.73/1.12  substitution0:
% 0.73/1.12  end
% 0.73/1.12  permutation0:
% 0.73/1.12     0 ==> 0
% 0.73/1.12  end
% 0.73/1.12  
% 0.73/1.12  subsumption: (21) {G0,W8,D2,L3,V1,M3} I { ! object( X ), ! 
% 0.73/1.12    exemplifies_property( skol3, X ), X = skol4 }.
% 0.73/1.12  parent0: (242) {G0,W8,D2,L3,V1,M3}  { ! object( X ), ! exemplifies_property
% 0.73/1.12    ( skol3, X ), X = skol4 }.
% 0.73/1.12  substitution0:
% 0.73/1.12     X := X
% 0.73/1.12  end
% 0.73/1.12  permutation0:
% 0.73/1.12     0 ==> 0
% 0.73/1.12     1 ==> 1
% 0.73/1.12     2 ==> 2
% 0.73/1.12  end
% 0.73/1.12  
% 0.73/1.12  subsumption: (22) {G0,W5,D2,L2,V1,M2} I { ! object( X ), ! is_the( X, skol3
% 0.73/1.12     ) }.
% 0.73/1.12  parent0: (243) {G0,W5,D2,L2,V1,M2}  { ! object( X ), ! is_the( X, skol3 )
% 0.73/1.12     }.
% 0.73/1.12  substitution0:
% 0.73/1.12     X := X
% 0.73/1.12  end
% 0.73/1.12  permutation0:
% 0.73/1.12     0 ==> 0
% 0.73/1.12     1 ==> 1
% 0.73/1.12  end
% 0.73/1.12  
% 0.73/1.12  resolution: (297) {G1,W11,D2,L5,V2,M5}  { ! object( X ), ! property( skol3
% 0.73/1.12     ), ! property( Y ), ! object( X ), ! alpha1( skol3, Y ) }.
% 0.73/1.12  parent0[1]: (22) {G0,W5,D2,L2,V1,M2} I { ! object( X ), ! is_the( X, skol3
% 0.73/1.12     ) }.
% 0.73/1.12  parent1[4]: (1) {G0,W12,D2,L5,V3,M5} I { ! property( X ), ! property( Y ), 
% 0.73/1.12    ! object( Z ), ! alpha1( X, Y ), is_the( Z, X ) }.
% 0.73/1.12  substitution0:
% 0.73/1.12     X := X
% 0.73/1.12  end
% 0.73/1.12  substitution1:
% 0.73/1.12     X := skol3
% 0.73/1.12     Y := Y
% 0.73/1.12     Z := X
% 0.73/1.12  end
% 0.73/1.12  
% 0.73/1.12  resolution: (300) {G1,W9,D2,L4,V2,M4}  { ! object( X ), ! property( Y ), ! 
% 0.73/1.12    object( X ), ! alpha1( skol3, Y ) }.
% 0.73/1.12  parent0[1]: (297) {G1,W11,D2,L5,V2,M5}  { ! object( X ), ! property( skol3
% 0.73/1.12     ), ! property( Y ), ! object( X ), ! alpha1( skol3, Y ) }.
% 0.73/1.12  parent1[0]: (18) {G0,W2,D2,L1,V0,M1} I { property( skol3 ) }.
% 0.73/1.12  substitution0:
% 0.73/1.12     X := X
% 0.73/1.12     Y := Y
% 0.73/1.12  end
% 0.73/1.12  substitution1:
% 0.73/1.12  end
% 0.73/1.12  
% 0.73/1.12  factor: (301) {G1,W7,D2,L3,V2,M3}  { ! object( X ), ! property( Y ), ! 
% 0.73/1.12    alpha1( skol3, Y ) }.
% 0.73/1.12  parent0[0, 2]: (300) {G1,W9,D2,L4,V2,M4}  { ! object( X ), ! property( Y )
% 0.73/1.12    , ! object( X ), ! alpha1( skol3, Y ) }.
% 0.73/1.12  substitution0:
% 0.73/1.12     X := X
% 0.73/1.12     Y := Y
% 0.73/1.12  end
% 0.73/1.12  
% 0.73/1.12  subsumption: (39) {G1,W7,D2,L3,V2,M3} R(1,22);f;r(18) { ! property( X ), ! 
% 0.73/1.12    object( Y ), ! alpha1( skol3, X ) }.
% 0.73/1.12  parent0: (301) {G1,W7,D2,L3,V2,M3}  { ! object( X ), ! property( Y ), ! 
% 0.73/1.12    alpha1( skol3, Y ) }.
% 0.73/1.12  substitution0:
% 0.73/1.12     X := Y
% 0.73/1.12     Y := X
% 0.73/1.12  end
% 0.73/1.12  permutation0:
% 0.73/1.12     0 ==> 1
% 0.73/1.12     1 ==> 0
% 0.73/1.12     2 ==> 2
% 0.73/1.12  end
% 0.73/1.12  
% 0.73/1.12  resolution: (302) {G1,W5,D2,L2,V1,M2}  { ! object( X ), ! alpha1( skol3, 
% 0.73/1.12    skol3 ) }.
% 0.73/1.12  parent0[0]: (39) {G1,W7,D2,L3,V2,M3} R(1,22);f;r(18) { ! property( X ), ! 
% 0.73/1.12    object( Y ), ! alpha1( skol3, X ) }.
% 0.73/1.12  parent1[0]: (18) {G0,W2,D2,L1,V0,M1} I { property( skol3 ) }.
% 0.73/1.12  substitution0:
% 0.73/1.12     X := skol3
% 0.73/1.12     Y := X
% 0.73/1.12  end
% 0.73/1.12  substitution1:
% 0.73/1.12  end
% 0.73/1.12  
% 0.73/1.12  subsumption: (48) {G2,W5,D2,L2,V1,M2} R(39,18) { ! object( X ), ! alpha1( 
% 0.73/1.12    skol3, skol3 ) }.
% 0.73/1.12  parent0: (302) {G1,W5,D2,L2,V1,M2}  { ! object( X ), ! alpha1( skol3, skol3
% 0.73/1.12     ) }.
% 0.73/1.12  substitution0:
% 0.73/1.12     X := X
% 0.73/1.12  end
% 0.73/1.12  permutation0:
% 0.73/1.12     0 ==> 0
% 0.73/1.12     1 ==> 1
% 0.73/1.12  end
% 0.73/1.12  
% 0.73/1.12  resolution: (303) {G1,W3,D2,L1,V0,M1}  { ! alpha1( skol3, skol3 ) }.
% 0.73/1.12  parent0[0]: (48) {G2,W5,D2,L2,V1,M2} R(39,18) { ! object( X ), ! alpha1( 
% 0.73/1.12    skol3, skol3 ) }.
% 0.73/1.12  parent1[0]: (19) {G0,W2,D2,L1,V0,M1} I { object( skol4 ) }.
% 0.73/1.12  substitution0:
% 0.73/1.12     X := skol4
% 0.73/1.12  end
% 0.73/1.12  substitution1:
% 0.73/1.12  end
% 0.73/1.12  
% 0.73/1.12  subsumption: (50) {G3,W3,D2,L1,V0,M1} R(48,19) { ! alpha1( skol3, skol3 )
% 0.73/1.12     }.
% 0.73/1.12  parent0: (303) {G1,W3,D2,L1,V0,M1}  { ! alpha1( skol3, skol3 ) }.
% 0.73/1.12  substitution0:
% 0.73/1.12  end
% 0.73/1.12  permutation0:
% 0.73/1.12     0 ==> 0
% 0.73/1.12  end
% 0.73/1.12  
% 0.73/1.12  resolution: (304) {G1,W6,D2,L2,V1,M2}  { ! object( X ), ! alpha3( skol3, 
% 0.73/1.12    skol3, X ) }.
% 0.73/1.12  parent0[0]: (50) {G3,W3,D2,L1,V0,M1} R(48,19) { ! alpha1( skol3, skol3 )
% 0.73/1.12     }.
% 0.73/1.12  parent1[2]: (5) {G0,W9,D2,L3,V3,M3} I { ! object( Z ), ! alpha3( X, Y, Z )
% 0.73/1.12    , alpha1( X, Y ) }.
% 0.73/1.12  substitution0:
% 0.73/1.12  end
% 0.73/1.12  substitution1:
% 0.73/1.12     X := skol3
% 0.73/1.12     Y := skol3
% 0.73/1.12     Z := X
% 0.73/1.12  end
% 0.73/1.12  
% 0.73/1.12  subsumption: (129) {G4,W6,D2,L2,V1,M2} R(5,50) { ! object( X ), ! alpha3( 
% 0.73/1.12    skol3, skol3, X ) }.
% 0.73/1.12  parent0: (304) {G1,W6,D2,L2,V1,M2}  { ! object( X ), ! alpha3( skol3, skol3
% 0.73/1.12    , X ) }.
% 0.73/1.12  substitution0:
% 0.73/1.12     X := X
% 0.73/1.12  end
% 0.73/1.12  permutation0:
% 0.73/1.12     0 ==> 0
% 0.73/1.12     1 ==> 1
% 0.73/1.12  end
% 0.73/1.12  
% 0.73/1.12  resolution: (305) {G1,W4,D2,L1,V0,M1}  { ! alpha3( skol3, skol3, skol4 )
% 0.73/1.13     }.
% 0.73/1.13  parent0[0]: (129) {G4,W6,D2,L2,V1,M2} R(5,50) { ! object( X ), ! alpha3( 
% 0.73/1.13    skol3, skol3, X ) }.
% 0.73/1.13  parent1[0]: (19) {G0,W2,D2,L1,V0,M1} I { object( skol4 ) }.
% 0.73/1.13  substitution0:
% 0.73/1.13     X := skol4
% 0.73/1.13  end
% 0.73/1.13  substitution1:
% 0.73/1.13  end
% 0.73/1.13  
% 0.73/1.13  subsumption: (139) {G5,W4,D2,L1,V0,M1} R(129,19) { ! alpha3( skol3, skol3, 
% 0.73/1.13    skol4 ) }.
% 0.73/1.13  parent0: (305) {G1,W4,D2,L1,V0,M1}  { ! alpha3( skol3, skol3, skol4 ) }.
% 0.73/1.13  substitution0:
% 0.73/1.13  end
% 0.73/1.13  permutation0:
% 0.73/1.13     0 ==> 0
% 0.73/1.13  end
% 0.73/1.13  
% 0.73/1.13  resolution: (306) {G1,W7,D2,L2,V0,M2}  { ! exemplifies_property( skol3, 
% 0.73/1.13    skol4 ), ! alpha5( skol3, skol3, skol4 ) }.
% 0.73/1.13  parent0[0]: (139) {G5,W4,D2,L1,V0,M1} R(129,19) { ! alpha3( skol3, skol3, 
% 0.73/1.13    skol4 ) }.
% 0.73/1.13  parent1[2]: (8) {G0,W11,D2,L3,V3,M3} I { ! exemplifies_property( X, Z ), ! 
% 0.73/1.13    alpha5( X, Y, Z ), alpha3( X, Y, Z ) }.
% 0.73/1.13  substitution0:
% 0.73/1.13  end
% 0.73/1.13  substitution1:
% 0.73/1.13     X := skol3
% 0.73/1.13     Y := skol3
% 0.73/1.13     Z := skol4
% 0.73/1.13  end
% 0.73/1.13  
% 0.73/1.13  resolution: (307) {G1,W4,D2,L1,V0,M1}  { ! alpha5( skol3, skol3, skol4 )
% 0.73/1.13     }.
% 0.73/1.13  parent0[0]: (306) {G1,W7,D2,L2,V0,M2}  { ! exemplifies_property( skol3, 
% 0.73/1.13    skol4 ), ! alpha5( skol3, skol3, skol4 ) }.
% 0.73/1.13  parent1[0]: (20) {G0,W3,D2,L1,V0,M1} I { exemplifies_property( skol3, skol4
% 0.73/1.13     ) }.
% 0.73/1.13  substitution0:
% 0.73/1.13  end
% 0.73/1.13  substitution1:
% 0.73/1.13  end
% 0.73/1.13  
% 0.73/1.13  subsumption: (152) {G6,W4,D2,L1,V0,M1} R(8,139);r(20) { ! alpha5( skol3, 
% 0.73/1.13    skol3, skol4 ) }.
% 0.73/1.13  parent0: (307) {G1,W4,D2,L1,V0,M1}  { ! alpha5( skol3, skol3, skol4 ) }.
% 0.73/1.13  substitution0:
% 0.73/1.13  end
% 0.73/1.13  permutation0:
% 0.73/1.13     0 ==> 0
% 0.73/1.13  end
% 0.73/1.13  
% 0.73/1.13  resolution: (308) {G1,W6,D2,L2,V0,M2}  { ! alpha2( skol3, skol4 ), ! 
% 0.73/1.13    exemplifies_property( skol3, skol4 ) }.
% 0.73/1.13  parent0[0]: (152) {G6,W4,D2,L1,V0,M1} R(8,139);r(20) { ! alpha5( skol3, 
% 0.73/1.13    skol3, skol4 ) }.
% 0.73/1.13  parent1[2]: (11) {G0,W10,D2,L3,V3,M3} I { ! alpha2( X, Z ), ! 
% 0.73/1.13    exemplifies_property( Y, Z ), alpha5( X, Y, Z ) }.
% 0.73/1.13  substitution0:
% 0.73/1.13  end
% 0.73/1.13  substitution1:
% 0.73/1.13     X := skol3
% 0.73/1.13     Y := skol3
% 0.73/1.13     Z := skol4
% 0.73/1.13  end
% 0.73/1.13  
% 0.73/1.13  resolution: (309) {G1,W3,D2,L1,V0,M1}  { ! alpha2( skol3, skol4 ) }.
% 0.73/1.13  parent0[1]: (308) {G1,W6,D2,L2,V0,M2}  { ! alpha2( skol3, skol4 ), ! 
% 0.73/1.13    exemplifies_property( skol3, skol4 ) }.
% 0.73/1.13  parent1[0]: (20) {G0,W3,D2,L1,V0,M1} I { exemplifies_property( skol3, skol4
% 0.73/1.13     ) }.
% 0.73/1.13  substitution0:
% 0.73/1.13  end
% 0.73/1.13  substitution1:
% 0.73/1.13  end
% 0.73/1.13  
% 0.73/1.13  subsumption: (174) {G7,W3,D2,L1,V0,M1} R(11,152);r(20) { ! alpha2( skol3, 
% 0.73/1.13    skol4 ) }.
% 0.73/1.13  parent0: (309) {G1,W3,D2,L1,V0,M1}  { ! alpha2( skol3, skol4 ) }.
% 0.73/1.13  substitution0:
% 0.73/1.13  end
% 0.73/1.13  permutation0:
% 0.73/1.13     0 ==> 0
% 0.73/1.13  end
% 0.73/1.13  
% 0.73/1.13  resolution: (310) {G1,W4,D3,L1,V2,M1}  { object( skol2( X, Y ) ) }.
% 0.73/1.13  parent0[0]: (174) {G7,W3,D2,L1,V0,M1} R(11,152);r(20) { ! alpha2( skol3, 
% 0.73/1.13    skol4 ) }.
% 0.73/1.13  parent1[1]: (13) {G0,W7,D3,L2,V4,M2} I { object( skol2( Z, T ) ), alpha2( X
% 0.73/1.13    , Y ) }.
% 0.73/1.13  substitution0:
% 0.73/1.13  end
% 0.73/1.13  substitution1:
% 0.73/1.13     X := skol3
% 0.73/1.13     Y := skol4
% 0.73/1.13     Z := X
% 0.73/1.13     T := Y
% 0.73/1.13  end
% 0.73/1.13  
% 0.73/1.13  subsumption: (188) {G8,W4,D3,L1,V2,M1} R(174,13) { object( skol2( X, Y ) )
% 0.73/1.13     }.
% 0.73/1.13  parent0: (310) {G1,W4,D3,L1,V2,M1}  { object( skol2( X, Y ) ) }.
% 0.73/1.13  substitution0:
% 0.73/1.13     X := X
% 0.73/1.13     Y := Y
% 0.73/1.13  end
% 0.73/1.13  permutation0:
% 0.73/1.13     0 ==> 0
% 0.73/1.13  end
% 0.73/1.13  
% 0.73/1.13  resolution: (311) {G1,W6,D3,L1,V0,M1}  { ! alpha4( skol3, skol4, skol2( 
% 0.73/1.13    skol3, skol4 ) ) }.
% 0.73/1.13  parent0[0]: (174) {G7,W3,D2,L1,V0,M1} R(11,152);r(20) { ! alpha2( skol3, 
% 0.73/1.13    skol4 ) }.
% 0.73/1.13  parent1[1]: (14) {G0,W9,D3,L2,V2,M2} I { ! alpha4( X, Y, skol2( X, Y ) ), 
% 0.73/1.13    alpha2( X, Y ) }.
% 0.73/1.13  substitution0:
% 0.73/1.13  end
% 0.73/1.13  substitution1:
% 0.73/1.13     X := skol3
% 0.73/1.13     Y := skol4
% 0.73/1.13  end
% 0.73/1.13  
% 0.73/1.13  subsumption: (209) {G8,W6,D3,L1,V0,M1} R(14,174) { ! alpha4( skol3, skol4, 
% 0.73/1.13    skol2( skol3, skol4 ) ) }.
% 0.73/1.13  parent0: (311) {G1,W6,D3,L1,V0,M1}  { ! alpha4( skol3, skol4, skol2( skol3
% 0.73/1.13    , skol4 ) ) }.
% 0.73/1.13  substitution0:
% 0.73/1.13  end
% 0.73/1.13  permutation0:
% 0.73/1.13     0 ==> 0
% 0.73/1.13  end
% 0.73/1.13  
% 0.73/1.13  resolution: (312) {G1,W5,D3,L1,V0,M1}  { exemplifies_property( skol3, skol2
% 0.73/1.13    ( skol3, skol4 ) ) }.
% 0.73/1.13  parent0[0]: (209) {G8,W6,D3,L1,V0,M1} R(14,174) { ! alpha4( skol3, skol4, 
% 0.73/1.13    skol2( skol3, skol4 ) ) }.
% 0.73/1.13  parent1[1]: (16) {G0,W7,D2,L2,V3,M2} I { exemplifies_property( X, Z ), 
% 0.73/1.13    alpha4( X, Y, Z ) }.
% 0.73/1.13  substitution0:
% 0.73/1.13  end
% 0.73/1.13  substitution1:
% 0.73/1.13     X := skol3
% 0.73/1.13     Y := skol4
% 0.73/1.13     Z := skol2( skol3, skol4 )
% 0.73/1.13  end
% 0.73/1.13  
% 0.73/1.13  subsumption: (213) {G9,W5,D3,L1,V0,M1} R(209,16) { exemplifies_property( 
% 0.73/1.13    skol3, skol2( skol3, skol4 ) ) }.
% 0.73/1.13  parent0: (312) {G1,W5,D3,L1,V0,M1}  { exemplifies_property( skol3, skol2( 
% 0.73/1.13    skol3, skol4 ) ) }.
% 0.73/1.13  substitution0:
% 0.73/1.13  end
% 0.73/1.13  permutation0:
% 0.73/1.13     0 ==> 0
% 0.73/1.13  end
% 0.73/1.13  
% 0.73/1.13  eqswap: (313) {G0,W7,D2,L2,V3,M2}  { ! Y = X, alpha4( Z, Y, X ) }.
% 0.73/1.13  parent0[0]: (17) {G0,W7,D2,L2,V3,M2} I { ! Z = Y, alpha4( X, Y, Z ) }.
% 0.73/1.13  substitution0:
% 0.73/1.13     X := Z
% 0.73/1.13     Y := Y
% 0.73/1.13     Z := X
% 0.73/1.13  end
% 0.73/1.13  
% 0.73/1.13  resolution: (314) {G1,W5,D3,L1,V0,M1}  { ! skol4 = skol2( skol3, skol4 )
% 0.73/1.13     }.
% 0.73/1.13  parent0[0]: (209) {G8,W6,D3,L1,V0,M1} R(14,174) { ! alpha4( skol3, skol4, 
% 0.73/1.13    skol2( skol3, skol4 ) ) }.
% 0.73/1.13  parent1[1]: (313) {G0,W7,D2,L2,V3,M2}  { ! Y = X, alpha4( Z, Y, X ) }.
% 0.73/1.13  substitution0:
% 0.73/1.13  end
% 0.73/1.13  substitution1:
% 0.73/1.13     X := skol2( skol3, skol4 )
% 0.73/1.13     Y := skol4
% 0.73/1.13     Z := skol3
% 0.73/1.13  end
% 0.73/1.13  
% 0.73/1.13  eqswap: (315) {G1,W5,D3,L1,V0,M1}  { ! skol2( skol3, skol4 ) = skol4 }.
% 0.73/1.13  parent0[0]: (314) {G1,W5,D3,L1,V0,M1}  { ! skol4 = skol2( skol3, skol4 )
% 0.73/1.13     }.
% 0.73/1.13  substitution0:
% 0.73/1.13  end
% 0.73/1.13  
% 0.73/1.13  subsumption: (214) {G9,W5,D3,L1,V0,M1} R(209,17) { ! skol2( skol3, skol4 ) 
% 0.73/1.13    ==> skol4 }.
% 0.73/1.13  parent0: (315) {G1,W5,D3,L1,V0,M1}  { ! skol2( skol3, skol4 ) = skol4 }.
% 0.73/1.13  substitution0:
% 0.73/1.13  end
% 0.73/1.13  permutation0:
% 0.73/1.13     0 ==> 0
% 0.73/1.13  end
% 0.73/1.13  
% 0.73/1.13  eqswap: (316) {G0,W8,D2,L3,V1,M3}  { skol4 = X, ! object( X ), ! 
% 0.73/1.13    exemplifies_property( skol3, X ) }.
% 0.73/1.13  parent0[2]: (21) {G0,W8,D2,L3,V1,M3} I { ! object( X ), ! 
% 0.73/1.13    exemplifies_property( skol3, X ), X = skol4 }.
% 0.73/1.13  substitution0:
% 0.73/1.13     X := X
% 0.73/1.13  end
% 0.73/1.13  
% 0.73/1.13  resolution: (317) {G1,W9,D3,L2,V0,M2}  { skol4 = skol2( skol3, skol4 ), ! 
% 0.73/1.13    object( skol2( skol3, skol4 ) ) }.
% 0.73/1.13  parent0[2]: (316) {G0,W8,D2,L3,V1,M3}  { skol4 = X, ! object( X ), ! 
% 0.73/1.13    exemplifies_property( skol3, X ) }.
% 0.73/1.13  parent1[0]: (213) {G9,W5,D3,L1,V0,M1} R(209,16) { exemplifies_property( 
% 0.73/1.13    skol3, skol2( skol3, skol4 ) ) }.
% 0.73/1.13  substitution0:
% 0.73/1.13     X := skol2( skol3, skol4 )
% 0.73/1.13  end
% 0.73/1.13  substitution1:
% 0.73/1.13  end
% 0.73/1.13  
% 0.73/1.13  resolution: (318) {G2,W5,D3,L1,V0,M1}  { skol4 = skol2( skol3, skol4 ) }.
% 0.73/1.13  parent0[1]: (317) {G1,W9,D3,L2,V0,M2}  { skol4 = skol2( skol3, skol4 ), ! 
% 0.73/1.13    object( skol2( skol3, skol4 ) ) }.
% 0.73/1.13  parent1[0]: (188) {G8,W4,D3,L1,V2,M1} R(174,13) { object( skol2( X, Y ) )
% 0.73/1.13     }.
% 0.73/1.13  substitution0:
% 0.73/1.13  end
% 0.73/1.13  substitution1:
% 0.73/1.13     X := skol3
% 0.73/1.13     Y := skol4
% 0.73/1.13  end
% 0.73/1.13  
% 0.73/1.13  eqswap: (319) {G2,W5,D3,L1,V0,M1}  { skol2( skol3, skol4 ) = skol4 }.
% 0.73/1.13  parent0[0]: (318) {G2,W5,D3,L1,V0,M1}  { skol4 = skol2( skol3, skol4 ) }.
% 0.73/1.13  substitution0:
% 0.73/1.13  end
% 0.73/1.13  
% 0.73/1.13  subsumption: (217) {G10,W5,D3,L1,V0,M1} R(213,21);r(188) { skol2( skol3, 
% 0.73/1.13    skol4 ) ==> skol4 }.
% 0.73/1.13  parent0: (319) {G2,W5,D3,L1,V0,M1}  { skol2( skol3, skol4 ) = skol4 }.
% 0.73/1.13  substitution0:
% 0.73/1.13  end
% 0.73/1.13  permutation0:
% 0.73/1.13     0 ==> 0
% 0.73/1.13  end
% 0.73/1.13  
% 0.73/1.13  resolution: (322) {G10,W0,D0,L0,V0,M0}  {  }.
% 0.73/1.13  parent0[0]: (214) {G9,W5,D3,L1,V0,M1} R(209,17) { ! skol2( skol3, skol4 ) 
% 0.73/1.13    ==> skol4 }.
% 0.73/1.13  parent1[0]: (217) {G10,W5,D3,L1,V0,M1} R(213,21);r(188) { skol2( skol3, 
% 0.73/1.13    skol4 ) ==> skol4 }.
% 0.73/1.13  substitution0:
% 0.73/1.13  end
% 0.73/1.13  substitution1:
% 0.73/1.13  end
% 0.73/1.13  
% 0.73/1.13  subsumption: (219) {G11,W0,D0,L0,V0,M0} S(217);r(214) {  }.
% 0.73/1.13  parent0: (322) {G10,W0,D0,L0,V0,M0}  {  }.
% 0.73/1.13  substitution0:
% 0.73/1.13  end
% 0.73/1.13  permutation0:
% 0.73/1.13  end
% 0.73/1.13  
% 0.73/1.13  Proof check complete!
% 0.73/1.13  
% 0.73/1.13  Memory use:
% 0.73/1.13  
% 0.73/1.13  space for terms:        3192
% 0.73/1.13  space for clauses:      9858
% 0.73/1.13  
% 0.73/1.13  
% 0.73/1.13  clauses generated:      352
% 0.73/1.13  clauses kept:           220
% 0.73/1.13  clauses selected:       52
% 0.73/1.13  clauses deleted:        2
% 0.73/1.13  clauses inuse deleted:  0
% 0.73/1.13  
% 0.73/1.13  subsentry:          322
% 0.73/1.13  literals s-matched: 227
% 0.73/1.13  literals matched:   223
% 0.73/1.13  full subsumption:   11
% 0.73/1.13  
% 0.73/1.13  checksum:           892321943
% 0.73/1.13  
% 0.73/1.13  
% 0.73/1.13  Bliksem ended
%------------------------------------------------------------------------------