TSTP Solution File: KRS143+1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : KRS143+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n029.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 0s
% DateTime : Sun Jul 17 02:42:25 EDT 2022

% Result   : Theorem 0.46s 1.11s
% Output   : Refutation 0.46s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : KRS143+1 : TPTP v8.1.0. Released v3.1.0.
% 0.08/0.13  % Command  : bliksem %s
% 0.14/0.35  % Computer : n029.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % DateTime : Tue Jun  7 05:32:20 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.46/1.10  *** allocated 10000 integers for termspace/termends
% 0.46/1.10  *** allocated 10000 integers for clauses
% 0.46/1.10  *** allocated 10000 integers for justifications
% 0.46/1.10  Bliksem 1.12
% 0.46/1.10  
% 0.46/1.10  
% 0.46/1.10  Automatic Strategy Selection
% 0.46/1.10  
% 0.46/1.10  
% 0.46/1.10  Clauses:
% 0.46/1.10  
% 0.46/1.10  { ! Y = X, ! cc( Y ), cc( X ) }.
% 0.46/1.10  { ! Y = X, ! cowlNothing( Y ), cowlNothing( X ) }.
% 0.46/1.10  { ! Y = X, ! cowlThing( Y ), cowlThing( X ) }.
% 0.46/1.10  { ! Z = X, ! rp( Z, Y ), rp( X, Y ) }.
% 0.46/1.10  { ! Z = X, ! rp( Y, Z ), rp( Y, X ) }.
% 0.46/1.10  { ! Y = X, ! xsd_integer( Y ), xsd_integer( X ) }.
% 0.46/1.10  { ! Y = X, ! xsd_string( Y ), xsd_string( X ) }.
% 0.46/1.10  { cowlThing( X ) }.
% 0.46/1.10  { ! cowlNothing( X ) }.
% 0.46/1.10  { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.46/1.10  { xsd_integer( X ), xsd_string( X ) }.
% 0.46/1.10  { ! cc( X ), rp( X, skol1( X ) ) }.
% 0.46/1.10  { ! cc( X ), ! rp( X, Y ), ! rp( X, Z ), Y = Z }.
% 0.46/1.10  { alpha1, cc( skol2 ) }.
% 0.46/1.10  { alpha1, ! rp( skol2, X ), alpha2( skol2 ) }.
% 0.46/1.10  { ! alpha2( X ), rp( X, skol3( X ) ) }.
% 0.46/1.10  { ! alpha2( X ), rp( X, skol6( X ) ) }.
% 0.46/1.10  { ! alpha2( X ), ! skol3( X ) = skol6( X ) }.
% 0.46/1.10  { ! rp( X, Y ), ! rp( X, Z ), Y = Z, alpha2( X ) }.
% 0.46/1.10  { ! alpha1, alpha3, alpha4 }.
% 0.46/1.10  { ! alpha3, alpha1 }.
% 0.46/1.10  { ! alpha4, alpha1 }.
% 0.46/1.10  { ! alpha4, alpha5( skol4 ), ! xsd_integer( skol4 ) }.
% 0.46/1.10  { ! alpha4, alpha5( skol4 ), ! xsd_string( skol4 ) }.
% 0.46/1.10  { ! alpha5( X ), alpha4 }.
% 0.46/1.10  { xsd_integer( X ), xsd_string( X ), alpha4 }.
% 0.46/1.10  { ! alpha5( X ), xsd_string( X ) }.
% 0.46/1.10  { ! alpha5( X ), xsd_integer( X ) }.
% 0.46/1.10  { ! xsd_string( X ), ! xsd_integer( X ), alpha5( X ) }.
% 0.46/1.10  { ! alpha3, ! cowlThing( skol5 ), cowlNothing( skol5 ) }.
% 0.46/1.10  { cowlThing( X ), alpha3 }.
% 0.46/1.10  { ! cowlNothing( X ), alpha3 }.
% 0.46/1.10  
% 0.46/1.10  percentage equality = 0.142857, percentage horn = 0.821429
% 0.46/1.10  This is a problem with some equality
% 0.46/1.10  
% 0.46/1.10  
% 0.46/1.10  
% 0.46/1.10  Options Used:
% 0.46/1.10  
% 0.46/1.10  useres =            1
% 0.46/1.10  useparamod =        1
% 0.46/1.10  useeqrefl =         1
% 0.46/1.10  useeqfact =         1
% 0.46/1.10  usefactor =         1
% 0.46/1.10  usesimpsplitting =  0
% 0.46/1.10  usesimpdemod =      5
% 0.46/1.10  usesimpres =        3
% 0.46/1.10  
% 0.46/1.10  resimpinuse      =  1000
% 0.46/1.10  resimpclauses =     20000
% 0.46/1.10  substype =          eqrewr
% 0.46/1.10  backwardsubs =      1
% 0.46/1.10  selectoldest =      5
% 0.46/1.10  
% 0.46/1.10  litorderings [0] =  split
% 0.46/1.10  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.46/1.10  
% 0.46/1.10  termordering =      kbo
% 0.46/1.10  
% 0.46/1.10  litapriori =        0
% 0.46/1.10  termapriori =       1
% 0.46/1.11  litaposteriori =    0
% 0.46/1.11  termaposteriori =   0
% 0.46/1.11  demodaposteriori =  0
% 0.46/1.11  ordereqreflfact =   0
% 0.46/1.11  
% 0.46/1.11  litselect =         negord
% 0.46/1.11  
% 0.46/1.11  maxweight =         15
% 0.46/1.11  maxdepth =          30000
% 0.46/1.11  maxlength =         115
% 0.46/1.11  maxnrvars =         195
% 0.46/1.11  excuselevel =       1
% 0.46/1.11  increasemaxweight = 1
% 0.46/1.11  
% 0.46/1.11  maxselected =       10000000
% 0.46/1.11  maxnrclauses =      10000000
% 0.46/1.11  
% 0.46/1.11  showgenerated =    0
% 0.46/1.11  showkept =         0
% 0.46/1.11  showselected =     0
% 0.46/1.11  showdeleted =      0
% 0.46/1.11  showresimp =       1
% 0.46/1.11  showstatus =       2000
% 0.46/1.11  
% 0.46/1.11  prologoutput =     0
% 0.46/1.11  nrgoals =          5000000
% 0.46/1.11  totalproof =       1
% 0.46/1.11  
% 0.46/1.11  Symbols occurring in the translation:
% 0.46/1.11  
% 0.46/1.11  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.46/1.11  .  [1, 2]      (w:1, o:33, a:1, s:1, b:0), 
% 0.46/1.11  !  [4, 1]      (w:0, o:18, a:1, s:1, b:0), 
% 0.46/1.11  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.46/1.11  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.46/1.11  cc  [37, 1]      (w:1, o:23, a:1, s:1, b:0), 
% 0.46/1.11  cowlNothing  [38, 1]      (w:1, o:24, a:1, s:1, b:0), 
% 0.46/1.11  cowlThing  [39, 1]      (w:1, o:25, a:1, s:1, b:0), 
% 0.46/1.11  rp  [41, 2]      (w:1, o:57, a:1, s:1, b:0), 
% 0.46/1.11  xsd_integer  [42, 1]      (w:1, o:26, a:1, s:1, b:0), 
% 0.46/1.11  xsd_string  [43, 1]      (w:1, o:27, a:1, s:1, b:0), 
% 0.46/1.11  alpha1  [47, 0]      (w:1, o:12, a:1, s:1, b:1), 
% 0.46/1.11  alpha2  [48, 1]      (w:1, o:28, a:1, s:1, b:1), 
% 0.46/1.11  alpha3  [49, 0]      (w:1, o:13, a:1, s:1, b:1), 
% 0.46/1.11  alpha4  [50, 0]      (w:1, o:14, a:1, s:1, b:1), 
% 0.46/1.11  alpha5  [51, 1]      (w:1, o:29, a:1, s:1, b:1), 
% 0.46/1.11  skol1  [52, 1]      (w:1, o:30, a:1, s:1, b:1), 
% 0.46/1.11  skol2  [53, 0]      (w:1, o:15, a:1, s:1, b:1), 
% 0.46/1.11  skol3  [54, 1]      (w:1, o:31, a:1, s:1, b:1), 
% 0.46/1.11  skol4  [55, 0]      (w:1, o:16, a:1, s:1, b:1), 
% 0.46/1.11  skol5  [56, 0]      (w:1, o:17, a:1, s:1, b:1), 
% 0.46/1.11  skol6  [57, 1]      (w:1, o:32, a:1, s:1, b:1).
% 0.46/1.11  
% 0.46/1.11  
% 0.46/1.11  Starting Search:
% 0.46/1.11  
% 0.46/1.11  
% 0.46/1.11  Bliksems!, er is een bewijs:
% 0.46/1.11  % SZS status Theorem
% 0.46/1.11  % SZS output start Refutation
% 0.46/1.11  
% 0.46/1.11  (7) {G0,W2,D2,L1,V1,M1} I { cowlThing( X ) }.
% 0.46/1.11  (8) {G0,W2,D2,L1,V1,M1} I { ! cowlNothing( X ) }.
% 0.46/1.11  (9) {G0,W4,D2,L2,V1,M2} I { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.46/1.11  (10) {G0,W4,D2,L2,V1,M2} I { xsd_integer( X ), xsd_string( X ) }.
% 0.46/1.11  (11) {G0,W6,D3,L2,V1,M2} I { ! cc( X ), rp( X, skol1( X ) ) }.
% 0.46/1.11  (12) {G0,W11,D2,L4,V3,M4} I { ! cc( X ), ! rp( X, Y ), ! rp( X, Z ), Y = Z
% 0.46/1.11     }.
% 0.46/1.11  (13) {G0,W3,D2,L2,V0,M2} I { alpha1, cc( skol2 ) }.
% 0.46/1.11  (14) {G0,W6,D2,L3,V1,M3} I { alpha1, ! rp( skol2, X ), alpha2( skol2 ) }.
% 0.46/1.11  (15) {G0,W6,D3,L2,V1,M2} I { ! alpha2( X ), rp( X, skol3( X ) ) }.
% 0.46/1.11  (16) {G0,W6,D3,L2,V1,M2} I { ! alpha2( X ), rp( X, skol6( X ) ) }.
% 0.46/1.11  (17) {G0,W7,D3,L2,V1,M2} I { ! alpha2( X ), ! skol6( X ) ==> skol3( X ) }.
% 0.46/1.11  (19) {G0,W3,D1,L3,V0,M3} I { ! alpha1, alpha3, alpha4 }.
% 0.46/1.11  (22) {G0,W5,D2,L3,V0,M3} I { ! alpha4, alpha5( skol4 ), ! xsd_integer( 
% 0.46/1.11    skol4 ) }.
% 0.46/1.11  (23) {G0,W5,D2,L3,V0,M3} I { ! alpha4, alpha5( skol4 ), ! xsd_string( skol4
% 0.46/1.11     ) }.
% 0.46/1.11  (25) {G0,W4,D2,L2,V1,M2} I { ! alpha5( X ), xsd_string( X ) }.
% 0.46/1.11  (26) {G0,W4,D2,L2,V1,M2} I { ! alpha5( X ), xsd_integer( X ) }.
% 0.46/1.11  (27) {G1,W3,D2,L2,V0,M2} I;r(7) { ! alpha3, cowlNothing( skol5 ) }.
% 0.46/1.11  (30) {G2,W1,D1,L1,V0,M1} S(27);r(8) { ! alpha3 }.
% 0.46/1.11  (31) {G3,W2,D1,L2,V0,M2} R(30,19) { ! alpha1, alpha4 }.
% 0.46/1.11  (32) {G4,W3,D2,L2,V0,M2} R(13,31) { cc( skol2 ), alpha4 }.
% 0.46/1.11  (35) {G1,W2,D2,L1,V1,M1} R(9,25);r(26) { ! alpha5( X ) }.
% 0.46/1.11  (37) {G2,W3,D2,L2,V0,M2} S(23);r(35) { ! alpha4, ! xsd_string( skol4 ) }.
% 0.46/1.11  (38) {G3,W3,D2,L2,V0,M2} R(37,10) { ! alpha4, xsd_integer( skol4 ) }.
% 0.46/1.11  (48) {G4,W1,D1,L1,V0,M1} S(22);r(35);r(38) { ! alpha4 }.
% 0.46/1.11  (54) {G5,W2,D2,L1,V0,M1} R(48,32) { cc( skol2 ) }.
% 0.46/1.11  (55) {G5,W1,D1,L1,V0,M1} R(48,31) { ! alpha1 }.
% 0.46/1.11  (59) {G6,W5,D2,L2,V1,M2} S(14);r(55) { ! rp( skol2, X ), alpha2( skol2 )
% 0.46/1.11     }.
% 0.46/1.11  (61) {G6,W4,D3,L1,V0,M1} R(11,54) { rp( skol2, skol1( skol2 ) ) }.
% 0.46/1.11  (67) {G7,W2,D2,L1,V0,M1} R(59,61) { alpha2( skol2 ) }.
% 0.46/1.11  (68) {G8,W4,D3,L1,V0,M1} R(16,67) { rp( skol2, skol6( skol2 ) ) }.
% 0.46/1.11  (102) {G8,W4,D3,L1,V0,M1} R(15,67) { rp( skol2, skol3( skol2 ) ) }.
% 0.46/1.11  (106) {G9,W7,D3,L2,V1,M2} R(102,12);r(54) { ! rp( skol2, X ), skol3( skol2
% 0.46/1.11     ) = X }.
% 0.46/1.11  (113) {G8,W5,D3,L1,V0,M1} R(17,67) { ! skol6( skol2 ) ==> skol3( skol2 )
% 0.46/1.11     }.
% 0.46/1.11  (154) {G10,W5,D3,L1,V0,M1} R(106,68) { skol6( skol2 ) ==> skol3( skol2 )
% 0.46/1.11     }.
% 0.46/1.11  (155) {G10,W5,D3,L1,V0,M1} R(106,61) { skol3( skol2 ) ==> skol1( skol2 )
% 0.46/1.11     }.
% 0.46/1.11  (166) {G11,W0,D0,L0,V0,M0} P(106,113);q;d(154);d(155);r(61) {  }.
% 0.46/1.11  
% 0.46/1.11  
% 0.46/1.11  % SZS output end Refutation
% 0.46/1.11  found a proof!
% 0.46/1.11  
% 0.46/1.11  
% 0.46/1.11  Unprocessed initial clauses:
% 0.46/1.11  
% 0.46/1.11  (168) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! cc( Y ), cc( X ) }.
% 0.46/1.11  (169) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! cowlNothing( Y ), cowlNothing( X )
% 0.46/1.11     }.
% 0.46/1.11  (170) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! cowlThing( Y ), cowlThing( X ) }.
% 0.46/1.11  (171) {G0,W9,D2,L3,V3,M3}  { ! Z = X, ! rp( Z, Y ), rp( X, Y ) }.
% 0.46/1.11  (172) {G0,W9,D2,L3,V3,M3}  { ! Z = X, ! rp( Y, Z ), rp( Y, X ) }.
% 0.46/1.11  (173) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! xsd_integer( Y ), xsd_integer( X )
% 0.46/1.11     }.
% 0.46/1.11  (174) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! xsd_string( Y ), xsd_string( X )
% 0.46/1.11     }.
% 0.46/1.11  (175) {G0,W2,D2,L1,V1,M1}  { cowlThing( X ) }.
% 0.46/1.11  (176) {G0,W2,D2,L1,V1,M1}  { ! cowlNothing( X ) }.
% 0.46/1.11  (177) {G0,W4,D2,L2,V1,M2}  { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.46/1.11  (178) {G0,W4,D2,L2,V1,M2}  { xsd_integer( X ), xsd_string( X ) }.
% 0.46/1.11  (179) {G0,W6,D3,L2,V1,M2}  { ! cc( X ), rp( X, skol1( X ) ) }.
% 0.46/1.11  (180) {G0,W11,D2,L4,V3,M4}  { ! cc( X ), ! rp( X, Y ), ! rp( X, Z ), Y = Z
% 0.46/1.11     }.
% 0.46/1.11  (181) {G0,W3,D2,L2,V0,M2}  { alpha1, cc( skol2 ) }.
% 0.46/1.11  (182) {G0,W6,D2,L3,V1,M3}  { alpha1, ! rp( skol2, X ), alpha2( skol2 ) }.
% 0.46/1.11  (183) {G0,W6,D3,L2,V1,M2}  { ! alpha2( X ), rp( X, skol3( X ) ) }.
% 0.46/1.11  (184) {G0,W6,D3,L2,V1,M2}  { ! alpha2( X ), rp( X, skol6( X ) ) }.
% 0.46/1.11  (185) {G0,W7,D3,L2,V1,M2}  { ! alpha2( X ), ! skol3( X ) = skol6( X ) }.
% 0.46/1.11  (186) {G0,W11,D2,L4,V3,M4}  { ! rp( X, Y ), ! rp( X, Z ), Y = Z, alpha2( X
% 0.46/1.11     ) }.
% 0.46/1.11  (187) {G0,W3,D1,L3,V0,M3}  { ! alpha1, alpha3, alpha4 }.
% 0.46/1.11  (188) {G0,W2,D1,L2,V0,M2}  { ! alpha3, alpha1 }.
% 0.46/1.11  (189) {G0,W2,D1,L2,V0,M2}  { ! alpha4, alpha1 }.
% 0.46/1.11  (190) {G0,W5,D2,L3,V0,M3}  { ! alpha4, alpha5( skol4 ), ! xsd_integer( 
% 0.46/1.11    skol4 ) }.
% 0.46/1.11  (191) {G0,W5,D2,L3,V0,M3}  { ! alpha4, alpha5( skol4 ), ! xsd_string( skol4
% 0.46/1.11     ) }.
% 0.46/1.11  (192) {G0,W3,D2,L2,V1,M2}  { ! alpha5( X ), alpha4 }.
% 0.46/1.11  (193) {G0,W5,D2,L3,V1,M3}  { xsd_integer( X ), xsd_string( X ), alpha4 }.
% 0.46/1.11  (194) {G0,W4,D2,L2,V1,M2}  { ! alpha5( X ), xsd_string( X ) }.
% 0.46/1.11  (195) {G0,W4,D2,L2,V1,M2}  { ! alpha5( X ), xsd_integer( X ) }.
% 0.46/1.11  (196) {G0,W6,D2,L3,V1,M3}  { ! xsd_string( X ), ! xsd_integer( X ), alpha5
% 0.46/1.11    ( X ) }.
% 0.46/1.11  (197) {G0,W5,D2,L3,V0,M3}  { ! alpha3, ! cowlThing( skol5 ), cowlNothing( 
% 0.46/1.11    skol5 ) }.
% 0.46/1.11  (198) {G0,W3,D2,L2,V1,M2}  { cowlThing( X ), alpha3 }.
% 0.46/1.11  (199) {G0,W3,D2,L2,V1,M2}  { ! cowlNothing( X ), alpha3 }.
% 0.46/1.11  
% 0.46/1.11  
% 0.46/1.11  Total Proof:
% 0.46/1.11  
% 0.46/1.11  subsumption: (7) {G0,W2,D2,L1,V1,M1} I { cowlThing( X ) }.
% 0.46/1.11  parent0: (175) {G0,W2,D2,L1,V1,M1}  { cowlThing( X ) }.
% 0.46/1.11  substitution0:
% 0.46/1.11     X := X
% 0.46/1.11  end
% 0.46/1.11  permutation0:
% 0.46/1.11     0 ==> 0
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  subsumption: (8) {G0,W2,D2,L1,V1,M1} I { ! cowlNothing( X ) }.
% 0.46/1.11  parent0: (176) {G0,W2,D2,L1,V1,M1}  { ! cowlNothing( X ) }.
% 0.46/1.11  substitution0:
% 0.46/1.11     X := X
% 0.46/1.11  end
% 0.46/1.11  permutation0:
% 0.46/1.11     0 ==> 0
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  subsumption: (9) {G0,W4,D2,L2,V1,M2} I { ! xsd_string( X ), ! xsd_integer( 
% 0.46/1.11    X ) }.
% 0.46/1.11  parent0: (177) {G0,W4,D2,L2,V1,M2}  { ! xsd_string( X ), ! xsd_integer( X )
% 0.46/1.11     }.
% 0.46/1.11  substitution0:
% 0.46/1.11     X := X
% 0.46/1.11  end
% 0.46/1.11  permutation0:
% 0.46/1.11     0 ==> 0
% 0.46/1.11     1 ==> 1
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  subsumption: (10) {G0,W4,D2,L2,V1,M2} I { xsd_integer( X ), xsd_string( X )
% 0.46/1.11     }.
% 0.46/1.11  parent0: (178) {G0,W4,D2,L2,V1,M2}  { xsd_integer( X ), xsd_string( X ) }.
% 0.46/1.11  substitution0:
% 0.46/1.11     X := X
% 0.46/1.11  end
% 0.46/1.11  permutation0:
% 0.46/1.11     0 ==> 0
% 0.46/1.11     1 ==> 1
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  subsumption: (11) {G0,W6,D3,L2,V1,M2} I { ! cc( X ), rp( X, skol1( X ) )
% 0.46/1.11     }.
% 0.46/1.11  parent0: (179) {G0,W6,D3,L2,V1,M2}  { ! cc( X ), rp( X, skol1( X ) ) }.
% 0.46/1.11  substitution0:
% 0.46/1.11     X := X
% 0.46/1.11  end
% 0.46/1.11  permutation0:
% 0.46/1.11     0 ==> 0
% 0.46/1.11     1 ==> 1
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  subsumption: (12) {G0,W11,D2,L4,V3,M4} I { ! cc( X ), ! rp( X, Y ), ! rp( X
% 0.46/1.11    , Z ), Y = Z }.
% 0.46/1.11  parent0: (180) {G0,W11,D2,L4,V3,M4}  { ! cc( X ), ! rp( X, Y ), ! rp( X, Z
% 0.46/1.11     ), Y = Z }.
% 0.46/1.11  substitution0:
% 0.46/1.11     X := X
% 0.46/1.11     Y := Y
% 0.46/1.11     Z := Z
% 0.46/1.11  end
% 0.46/1.11  permutation0:
% 0.46/1.11     0 ==> 0
% 0.46/1.11     1 ==> 1
% 0.46/1.11     2 ==> 2
% 0.46/1.11     3 ==> 3
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  subsumption: (13) {G0,W3,D2,L2,V0,M2} I { alpha1, cc( skol2 ) }.
% 0.46/1.11  parent0: (181) {G0,W3,D2,L2,V0,M2}  { alpha1, cc( skol2 ) }.
% 0.46/1.11  substitution0:
% 0.46/1.11  end
% 0.46/1.11  permutation0:
% 0.46/1.11     0 ==> 0
% 0.46/1.11     1 ==> 1
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  subsumption: (14) {G0,W6,D2,L3,V1,M3} I { alpha1, ! rp( skol2, X ), alpha2
% 0.46/1.11    ( skol2 ) }.
% 0.46/1.11  parent0: (182) {G0,W6,D2,L3,V1,M3}  { alpha1, ! rp( skol2, X ), alpha2( 
% 0.46/1.11    skol2 ) }.
% 0.46/1.11  substitution0:
% 0.46/1.11     X := X
% 0.46/1.11  end
% 0.46/1.11  permutation0:
% 0.46/1.11     0 ==> 0
% 0.46/1.11     1 ==> 1
% 0.46/1.11     2 ==> 2
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  subsumption: (15) {G0,W6,D3,L2,V1,M2} I { ! alpha2( X ), rp( X, skol3( X )
% 0.46/1.11     ) }.
% 0.46/1.11  parent0: (183) {G0,W6,D3,L2,V1,M2}  { ! alpha2( X ), rp( X, skol3( X ) )
% 0.46/1.11     }.
% 0.46/1.11  substitution0:
% 0.46/1.11     X := X
% 0.46/1.11  end
% 0.46/1.11  permutation0:
% 0.46/1.11     0 ==> 0
% 0.46/1.11     1 ==> 1
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  subsumption: (16) {G0,W6,D3,L2,V1,M2} I { ! alpha2( X ), rp( X, skol6( X )
% 0.46/1.11     ) }.
% 0.46/1.11  parent0: (184) {G0,W6,D3,L2,V1,M2}  { ! alpha2( X ), rp( X, skol6( X ) )
% 0.46/1.11     }.
% 0.46/1.11  substitution0:
% 0.46/1.11     X := X
% 0.46/1.11  end
% 0.46/1.11  permutation0:
% 0.46/1.11     0 ==> 0
% 0.46/1.11     1 ==> 1
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  eqswap: (283) {G0,W7,D3,L2,V1,M2}  { ! skol6( X ) = skol3( X ), ! alpha2( X
% 0.46/1.11     ) }.
% 0.46/1.11  parent0[1]: (185) {G0,W7,D3,L2,V1,M2}  { ! alpha2( X ), ! skol3( X ) = 
% 0.46/1.11    skol6( X ) }.
% 0.46/1.11  substitution0:
% 0.46/1.11     X := X
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  subsumption: (17) {G0,W7,D3,L2,V1,M2} I { ! alpha2( X ), ! skol6( X ) ==> 
% 0.46/1.11    skol3( X ) }.
% 0.46/1.11  parent0: (283) {G0,W7,D3,L2,V1,M2}  { ! skol6( X ) = skol3( X ), ! alpha2( 
% 0.46/1.11    X ) }.
% 0.46/1.11  substitution0:
% 0.46/1.11     X := X
% 0.46/1.11  end
% 0.46/1.11  permutation0:
% 0.46/1.11     0 ==> 1
% 0.46/1.11     1 ==> 0
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  subsumption: (19) {G0,W3,D1,L3,V0,M3} I { ! alpha1, alpha3, alpha4 }.
% 0.46/1.11  parent0: (187) {G0,W3,D1,L3,V0,M3}  { ! alpha1, alpha3, alpha4 }.
% 0.46/1.11  substitution0:
% 0.46/1.11  end
% 0.46/1.11  permutation0:
% 0.46/1.11     0 ==> 0
% 0.46/1.11     1 ==> 1
% 0.46/1.11     2 ==> 2
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  *** allocated 15000 integers for clauses
% 0.46/1.11  subsumption: (22) {G0,W5,D2,L3,V0,M3} I { ! alpha4, alpha5( skol4 ), ! 
% 0.46/1.11    xsd_integer( skol4 ) }.
% 0.46/1.11  parent0: (190) {G0,W5,D2,L3,V0,M3}  { ! alpha4, alpha5( skol4 ), ! 
% 0.46/1.11    xsd_integer( skol4 ) }.
% 0.46/1.11  substitution0:
% 0.46/1.11  end
% 0.46/1.11  permutation0:
% 0.46/1.11     0 ==> 0
% 0.46/1.11     1 ==> 1
% 0.46/1.11     2 ==> 2
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  subsumption: (23) {G0,W5,D2,L3,V0,M3} I { ! alpha4, alpha5( skol4 ), ! 
% 0.46/1.11    xsd_string( skol4 ) }.
% 0.46/1.11  parent0: (191) {G0,W5,D2,L3,V0,M3}  { ! alpha4, alpha5( skol4 ), ! 
% 0.46/1.11    xsd_string( skol4 ) }.
% 0.46/1.11  substitution0:
% 0.46/1.11  end
% 0.46/1.11  permutation0:
% 0.46/1.11     0 ==> 0
% 0.46/1.11     1 ==> 1
% 0.46/1.11     2 ==> 2
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  subsumption: (25) {G0,W4,D2,L2,V1,M2} I { ! alpha5( X ), xsd_string( X )
% 0.46/1.11     }.
% 0.46/1.11  parent0: (194) {G0,W4,D2,L2,V1,M2}  { ! alpha5( X ), xsd_string( X ) }.
% 0.46/1.11  substitution0:
% 0.46/1.11     X := X
% 0.46/1.11  end
% 0.46/1.11  permutation0:
% 0.46/1.11     0 ==> 0
% 0.46/1.11     1 ==> 1
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  subsumption: (26) {G0,W4,D2,L2,V1,M2} I { ! alpha5( X ), xsd_integer( X )
% 0.46/1.11     }.
% 0.46/1.11  parent0: (195) {G0,W4,D2,L2,V1,M2}  { ! alpha5( X ), xsd_integer( X ) }.
% 0.46/1.11  substitution0:
% 0.46/1.11     X := X
% 0.46/1.11  end
% 0.46/1.11  permutation0:
% 0.46/1.11     0 ==> 0
% 0.46/1.11     1 ==> 1
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  resolution: (348) {G1,W3,D2,L2,V0,M2}  { ! alpha3, cowlNothing( skol5 ) }.
% 0.46/1.11  parent0[1]: (197) {G0,W5,D2,L3,V0,M3}  { ! alpha3, ! cowlThing( skol5 ), 
% 0.46/1.11    cowlNothing( skol5 ) }.
% 0.46/1.11  parent1[0]: (7) {G0,W2,D2,L1,V1,M1} I { cowlThing( X ) }.
% 0.46/1.11  substitution0:
% 0.46/1.11  end
% 0.46/1.11  substitution1:
% 0.46/1.11     X := skol5
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  subsumption: (27) {G1,W3,D2,L2,V0,M2} I;r(7) { ! alpha3, cowlNothing( skol5
% 0.46/1.11     ) }.
% 0.46/1.11  parent0: (348) {G1,W3,D2,L2,V0,M2}  { ! alpha3, cowlNothing( skol5 ) }.
% 0.46/1.11  substitution0:
% 0.46/1.11  end
% 0.46/1.11  permutation0:
% 0.46/1.11     0 ==> 0
% 0.46/1.11     1 ==> 1
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  resolution: (349) {G1,W1,D1,L1,V0,M1}  { ! alpha3 }.
% 0.46/1.11  parent0[0]: (8) {G0,W2,D2,L1,V1,M1} I { ! cowlNothing( X ) }.
% 0.46/1.11  parent1[1]: (27) {G1,W3,D2,L2,V0,M2} I;r(7) { ! alpha3, cowlNothing( skol5
% 0.46/1.11     ) }.
% 0.46/1.11  substitution0:
% 0.46/1.11     X := skol5
% 0.46/1.11  end
% 0.46/1.11  substitution1:
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  subsumption: (30) {G2,W1,D1,L1,V0,M1} S(27);r(8) { ! alpha3 }.
% 0.46/1.11  parent0: (349) {G1,W1,D1,L1,V0,M1}  { ! alpha3 }.
% 0.46/1.11  substitution0:
% 0.46/1.11  end
% 0.46/1.11  permutation0:
% 0.46/1.11     0 ==> 0
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  resolution: (350) {G1,W2,D1,L2,V0,M2}  { ! alpha1, alpha4 }.
% 0.46/1.11  parent0[0]: (30) {G2,W1,D1,L1,V0,M1} S(27);r(8) { ! alpha3 }.
% 0.46/1.11  parent1[1]: (19) {G0,W3,D1,L3,V0,M3} I { ! alpha1, alpha3, alpha4 }.
% 0.46/1.11  substitution0:
% 0.46/1.11  end
% 0.46/1.11  substitution1:
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  subsumption: (31) {G3,W2,D1,L2,V0,M2} R(30,19) { ! alpha1, alpha4 }.
% 0.46/1.11  parent0: (350) {G1,W2,D1,L2,V0,M2}  { ! alpha1, alpha4 }.
% 0.46/1.11  substitution0:
% 0.46/1.11  end
% 0.46/1.11  permutation0:
% 0.46/1.11     0 ==> 0
% 0.46/1.11     1 ==> 1
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  resolution: (351) {G1,W3,D2,L2,V0,M2}  { alpha4, cc( skol2 ) }.
% 0.46/1.11  parent0[0]: (31) {G3,W2,D1,L2,V0,M2} R(30,19) { ! alpha1, alpha4 }.
% 0.46/1.11  parent1[0]: (13) {G0,W3,D2,L2,V0,M2} I { alpha1, cc( skol2 ) }.
% 0.46/1.11  substitution0:
% 0.46/1.11  end
% 0.46/1.11  substitution1:
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  subsumption: (32) {G4,W3,D2,L2,V0,M2} R(13,31) { cc( skol2 ), alpha4 }.
% 0.46/1.11  parent0: (351) {G1,W3,D2,L2,V0,M2}  { alpha4, cc( skol2 ) }.
% 0.46/1.11  substitution0:
% 0.46/1.11  end
% 0.46/1.11  permutation0:
% 0.46/1.11     0 ==> 1
% 0.46/1.11     1 ==> 0
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  resolution: (352) {G1,W4,D2,L2,V1,M2}  { ! xsd_integer( X ), ! alpha5( X )
% 0.46/1.11     }.
% 0.46/1.11  parent0[0]: (9) {G0,W4,D2,L2,V1,M2} I { ! xsd_string( X ), ! xsd_integer( X
% 0.46/1.11     ) }.
% 0.46/1.11  parent1[1]: (25) {G0,W4,D2,L2,V1,M2} I { ! alpha5( X ), xsd_string( X ) }.
% 0.46/1.11  substitution0:
% 0.46/1.11     X := X
% 0.46/1.11  end
% 0.46/1.11  substitution1:
% 0.46/1.11     X := X
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  resolution: (353) {G1,W4,D2,L2,V1,M2}  { ! alpha5( X ), ! alpha5( X ) }.
% 0.46/1.11  parent0[0]: (352) {G1,W4,D2,L2,V1,M2}  { ! xsd_integer( X ), ! alpha5( X )
% 0.46/1.11     }.
% 0.46/1.11  parent1[1]: (26) {G0,W4,D2,L2,V1,M2} I { ! alpha5( X ), xsd_integer( X )
% 0.46/1.11     }.
% 0.46/1.11  substitution0:
% 0.46/1.11     X := X
% 0.46/1.11  end
% 0.46/1.11  substitution1:
% 0.46/1.11     X := X
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  factor: (354) {G1,W2,D2,L1,V1,M1}  { ! alpha5( X ) }.
% 0.46/1.11  parent0[0, 1]: (353) {G1,W4,D2,L2,V1,M2}  { ! alpha5( X ), ! alpha5( X )
% 0.46/1.11     }.
% 0.46/1.11  substitution0:
% 0.46/1.11     X := X
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  subsumption: (35) {G1,W2,D2,L1,V1,M1} R(9,25);r(26) { ! alpha5( X ) }.
% 0.46/1.11  parent0: (354) {G1,W2,D2,L1,V1,M1}  { ! alpha5( X ) }.
% 0.46/1.11  substitution0:
% 0.46/1.11     X := X
% 0.46/1.11  end
% 0.46/1.11  permutation0:
% 0.46/1.11     0 ==> 0
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  resolution: (355) {G1,W3,D2,L2,V0,M2}  { ! alpha4, ! xsd_string( skol4 )
% 0.46/1.11     }.
% 0.46/1.11  parent0[0]: (35) {G1,W2,D2,L1,V1,M1} R(9,25);r(26) { ! alpha5( X ) }.
% 0.46/1.11  parent1[1]: (23) {G0,W5,D2,L3,V0,M3} I { ! alpha4, alpha5( skol4 ), ! 
% 0.46/1.11    xsd_string( skol4 ) }.
% 0.46/1.11  substitution0:
% 0.46/1.11     X := skol4
% 0.46/1.11  end
% 0.46/1.11  substitution1:
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  subsumption: (37) {G2,W3,D2,L2,V0,M2} S(23);r(35) { ! alpha4, ! xsd_string
% 0.46/1.11    ( skol4 ) }.
% 0.46/1.11  parent0: (355) {G1,W3,D2,L2,V0,M2}  { ! alpha4, ! xsd_string( skol4 ) }.
% 0.46/1.11  substitution0:
% 0.46/1.11  end
% 0.46/1.11  permutation0:
% 0.46/1.11     0 ==> 0
% 0.46/1.11     1 ==> 1
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  resolution: (356) {G1,W3,D2,L2,V0,M2}  { ! alpha4, xsd_integer( skol4 ) }.
% 0.46/1.11  parent0[1]: (37) {G2,W3,D2,L2,V0,M2} S(23);r(35) { ! alpha4, ! xsd_string( 
% 0.46/1.11    skol4 ) }.
% 0.46/1.11  parent1[1]: (10) {G0,W4,D2,L2,V1,M2} I { xsd_integer( X ), xsd_string( X )
% 0.46/1.11     }.
% 0.46/1.11  substitution0:
% 0.46/1.11  end
% 0.46/1.11  substitution1:
% 0.46/1.11     X := skol4
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  subsumption: (38) {G3,W3,D2,L2,V0,M2} R(37,10) { ! alpha4, xsd_integer( 
% 0.46/1.11    skol4 ) }.
% 0.46/1.11  parent0: (356) {G1,W3,D2,L2,V0,M2}  { ! alpha4, xsd_integer( skol4 ) }.
% 0.46/1.11  substitution0:
% 0.46/1.11  end
% 0.46/1.11  permutation0:
% 0.46/1.11     0 ==> 0
% 0.46/1.11     1 ==> 1
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  resolution: (357) {G1,W3,D2,L2,V0,M2}  { ! alpha4, ! xsd_integer( skol4 )
% 0.46/1.11     }.
% 0.46/1.11  parent0[0]: (35) {G1,W2,D2,L1,V1,M1} R(9,25);r(26) { ! alpha5( X ) }.
% 0.46/1.11  parent1[1]: (22) {G0,W5,D2,L3,V0,M3} I { ! alpha4, alpha5( skol4 ), ! 
% 0.46/1.11    xsd_integer( skol4 ) }.
% 0.46/1.11  substitution0:
% 0.46/1.11     X := skol4
% 0.46/1.11  end
% 0.46/1.11  substitution1:
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  resolution: (358) {G2,W2,D1,L2,V0,M2}  { ! alpha4, ! alpha4 }.
% 0.46/1.11  parent0[1]: (357) {G1,W3,D2,L2,V0,M2}  { ! alpha4, ! xsd_integer( skol4 )
% 0.46/1.11     }.
% 0.46/1.11  parent1[1]: (38) {G3,W3,D2,L2,V0,M2} R(37,10) { ! alpha4, xsd_integer( 
% 0.46/1.11    skol4 ) }.
% 0.46/1.11  substitution0:
% 0.46/1.11  end
% 0.46/1.11  substitution1:
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  factor: (359) {G2,W1,D1,L1,V0,M1}  { ! alpha4 }.
% 0.46/1.11  parent0[0, 1]: (358) {G2,W2,D1,L2,V0,M2}  { ! alpha4, ! alpha4 }.
% 0.46/1.11  substitution0:
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  subsumption: (48) {G4,W1,D1,L1,V0,M1} S(22);r(35);r(38) { ! alpha4 }.
% 0.46/1.11  parent0: (359) {G2,W1,D1,L1,V0,M1}  { ! alpha4 }.
% 0.46/1.11  substitution0:
% 0.46/1.11  end
% 0.46/1.11  permutation0:
% 0.46/1.11     0 ==> 0
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  resolution: (360) {G5,W2,D2,L1,V0,M1}  { cc( skol2 ) }.
% 0.46/1.11  parent0[0]: (48) {G4,W1,D1,L1,V0,M1} S(22);r(35);r(38) { ! alpha4 }.
% 0.46/1.11  parent1[1]: (32) {G4,W3,D2,L2,V0,M2} R(13,31) { cc( skol2 ), alpha4 }.
% 0.46/1.11  substitution0:
% 0.46/1.11  end
% 0.46/1.11  substitution1:
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  subsumption: (54) {G5,W2,D2,L1,V0,M1} R(48,32) { cc( skol2 ) }.
% 0.46/1.11  parent0: (360) {G5,W2,D2,L1,V0,M1}  { cc( skol2 ) }.
% 0.46/1.11  substitution0:
% 0.46/1.11  end
% 0.46/1.11  permutation0:
% 0.46/1.11     0 ==> 0
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  resolution: (361) {G4,W1,D1,L1,V0,M1}  { ! alpha1 }.
% 0.46/1.11  parent0[0]: (48) {G4,W1,D1,L1,V0,M1} S(22);r(35);r(38) { ! alpha4 }.
% 0.46/1.11  parent1[1]: (31) {G3,W2,D1,L2,V0,M2} R(30,19) { ! alpha1, alpha4 }.
% 0.46/1.11  substitution0:
% 0.46/1.11  end
% 0.46/1.11  substitution1:
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  subsumption: (55) {G5,W1,D1,L1,V0,M1} R(48,31) { ! alpha1 }.
% 0.46/1.11  parent0: (361) {G4,W1,D1,L1,V0,M1}  { ! alpha1 }.
% 0.46/1.11  substitution0:
% 0.46/1.11  end
% 0.46/1.11  permutation0:
% 0.46/1.11     0 ==> 0
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  resolution: (362) {G1,W5,D2,L2,V1,M2}  { ! rp( skol2, X ), alpha2( skol2 )
% 0.46/1.11     }.
% 0.46/1.11  parent0[0]: (55) {G5,W1,D1,L1,V0,M1} R(48,31) { ! alpha1 }.
% 0.46/1.11  parent1[0]: (14) {G0,W6,D2,L3,V1,M3} I { alpha1, ! rp( skol2, X ), alpha2( 
% 0.46/1.11    skol2 ) }.
% 0.46/1.11  substitution0:
% 0.46/1.11  end
% 0.46/1.11  substitution1:
% 0.46/1.11     X := X
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  subsumption: (59) {G6,W5,D2,L2,V1,M2} S(14);r(55) { ! rp( skol2, X ), 
% 0.46/1.11    alpha2( skol2 ) }.
% 0.46/1.11  parent0: (362) {G1,W5,D2,L2,V1,M2}  { ! rp( skol2, X ), alpha2( skol2 ) }.
% 0.46/1.11  substitution0:
% 0.46/1.11     X := X
% 0.46/1.11  end
% 0.46/1.11  permutation0:
% 0.46/1.11     0 ==> 0
% 0.46/1.11     1 ==> 1
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  resolution: (363) {G1,W4,D3,L1,V0,M1}  { rp( skol2, skol1( skol2 ) ) }.
% 0.46/1.11  parent0[0]: (11) {G0,W6,D3,L2,V1,M2} I { ! cc( X ), rp( X, skol1( X ) ) }.
% 0.46/1.11  parent1[0]: (54) {G5,W2,D2,L1,V0,M1} R(48,32) { cc( skol2 ) }.
% 0.46/1.11  substitution0:
% 0.46/1.11     X := skol2
% 0.46/1.11  end
% 0.46/1.11  substitution1:
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  subsumption: (61) {G6,W4,D3,L1,V0,M1} R(11,54) { rp( skol2, skol1( skol2 )
% 0.46/1.11     ) }.
% 0.46/1.11  parent0: (363) {G1,W4,D3,L1,V0,M1}  { rp( skol2, skol1( skol2 ) ) }.
% 0.46/1.11  substitution0:
% 0.46/1.11  end
% 0.46/1.11  permutation0:
% 0.46/1.11     0 ==> 0
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  resolution: (364) {G7,W2,D2,L1,V0,M1}  { alpha2( skol2 ) }.
% 0.46/1.11  parent0[0]: (59) {G6,W5,D2,L2,V1,M2} S(14);r(55) { ! rp( skol2, X ), alpha2
% 0.46/1.11    ( skol2 ) }.
% 0.46/1.11  parent1[0]: (61) {G6,W4,D3,L1,V0,M1} R(11,54) { rp( skol2, skol1( skol2 ) )
% 0.46/1.11     }.
% 0.46/1.11  substitution0:
% 0.46/1.11     X := skol1( skol2 )
% 0.46/1.11  end
% 0.46/1.11  substitution1:
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  subsumption: (67) {G7,W2,D2,L1,V0,M1} R(59,61) { alpha2( skol2 ) }.
% 0.46/1.11  parent0: (364) {G7,W2,D2,L1,V0,M1}  { alpha2( skol2 ) }.
% 0.46/1.11  substitution0:
% 0.46/1.11  end
% 0.46/1.11  permutation0:
% 0.46/1.11     0 ==> 0
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  resolution: (365) {G1,W4,D3,L1,V0,M1}  { rp( skol2, skol6( skol2 ) ) }.
% 0.46/1.11  parent0[0]: (16) {G0,W6,D3,L2,V1,M2} I { ! alpha2( X ), rp( X, skol6( X ) )
% 0.46/1.11     }.
% 0.46/1.11  parent1[0]: (67) {G7,W2,D2,L1,V0,M1} R(59,61) { alpha2( skol2 ) }.
% 0.46/1.11  substitution0:
% 0.46/1.11     X := skol2
% 0.46/1.11  end
% 0.46/1.11  substitution1:
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  subsumption: (68) {G8,W4,D3,L1,V0,M1} R(16,67) { rp( skol2, skol6( skol2 )
% 0.46/1.11     ) }.
% 0.46/1.11  parent0: (365) {G1,W4,D3,L1,V0,M1}  { rp( skol2, skol6( skol2 ) ) }.
% 0.46/1.11  substitution0:
% 0.46/1.11  end
% 0.46/1.11  permutation0:
% 0.46/1.11     0 ==> 0
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  resolution: (366) {G1,W4,D3,L1,V0,M1}  { rp( skol2, skol3( skol2 ) ) }.
% 0.46/1.11  parent0[0]: (15) {G0,W6,D3,L2,V1,M2} I { ! alpha2( X ), rp( X, skol3( X ) )
% 0.46/1.11     }.
% 0.46/1.11  parent1[0]: (67) {G7,W2,D2,L1,V0,M1} R(59,61) { alpha2( skol2 ) }.
% 0.46/1.11  substitution0:
% 0.46/1.11     X := skol2
% 0.46/1.11  end
% 0.46/1.11  substitution1:
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  subsumption: (102) {G8,W4,D3,L1,V0,M1} R(15,67) { rp( skol2, skol3( skol2 )
% 0.46/1.11     ) }.
% 0.46/1.11  parent0: (366) {G1,W4,D3,L1,V0,M1}  { rp( skol2, skol3( skol2 ) ) }.
% 0.46/1.11  substitution0:
% 0.46/1.11  end
% 0.46/1.11  permutation0:
% 0.46/1.11     0 ==> 0
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  resolution: (367) {G1,W9,D3,L3,V1,M3}  { ! cc( skol2 ), ! rp( skol2, X ), 
% 0.46/1.11    skol3( skol2 ) = X }.
% 0.46/1.11  parent0[1]: (12) {G0,W11,D2,L4,V3,M4} I { ! cc( X ), ! rp( X, Y ), ! rp( X
% 0.46/1.11    , Z ), Y = Z }.
% 0.46/1.11  parent1[0]: (102) {G8,W4,D3,L1,V0,M1} R(15,67) { rp( skol2, skol3( skol2 )
% 0.46/1.11     ) }.
% 0.46/1.11  substitution0:
% 0.46/1.11     X := skol2
% 0.46/1.11     Y := skol3( skol2 )
% 0.46/1.11     Z := X
% 0.46/1.11  end
% 0.46/1.11  substitution1:
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  resolution: (369) {G2,W7,D3,L2,V1,M2}  { ! rp( skol2, X ), skol3( skol2 ) =
% 0.46/1.11     X }.
% 0.46/1.11  parent0[0]: (367) {G1,W9,D3,L3,V1,M3}  { ! cc( skol2 ), ! rp( skol2, X ), 
% 0.46/1.11    skol3( skol2 ) = X }.
% 0.46/1.11  parent1[0]: (54) {G5,W2,D2,L1,V0,M1} R(48,32) { cc( skol2 ) }.
% 0.46/1.11  substitution0:
% 0.46/1.11     X := X
% 0.46/1.11  end
% 0.46/1.11  substitution1:
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  subsumption: (106) {G9,W7,D3,L2,V1,M2} R(102,12);r(54) { ! rp( skol2, X ), 
% 0.46/1.11    skol3( skol2 ) = X }.
% 0.46/1.11  parent0: (369) {G2,W7,D3,L2,V1,M2}  { ! rp( skol2, X ), skol3( skol2 ) = X
% 0.46/1.11     }.
% 0.46/1.11  substitution0:
% 0.46/1.11     X := X
% 0.46/1.11  end
% 0.46/1.11  permutation0:
% 0.46/1.11     0 ==> 0
% 0.46/1.11     1 ==> 1
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  eqswap: (371) {G0,W7,D3,L2,V1,M2}  { ! skol3( X ) ==> skol6( X ), ! alpha2
% 0.46/1.11    ( X ) }.
% 0.46/1.11  parent0[1]: (17) {G0,W7,D3,L2,V1,M2} I { ! alpha2( X ), ! skol6( X ) ==> 
% 0.46/1.11    skol3( X ) }.
% 0.46/1.11  substitution0:
% 0.46/1.11     X := X
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  resolution: (372) {G1,W5,D3,L1,V0,M1}  { ! skol3( skol2 ) ==> skol6( skol2
% 0.46/1.11     ) }.
% 0.46/1.11  parent0[1]: (371) {G0,W7,D3,L2,V1,M2}  { ! skol3( X ) ==> skol6( X ), ! 
% 0.46/1.11    alpha2( X ) }.
% 0.46/1.11  parent1[0]: (67) {G7,W2,D2,L1,V0,M1} R(59,61) { alpha2( skol2 ) }.
% 0.46/1.11  substitution0:
% 0.46/1.11     X := skol2
% 0.46/1.11  end
% 0.46/1.11  substitution1:
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  eqswap: (373) {G1,W5,D3,L1,V0,M1}  { ! skol6( skol2 ) ==> skol3( skol2 )
% 0.46/1.11     }.
% 0.46/1.11  parent0[0]: (372) {G1,W5,D3,L1,V0,M1}  { ! skol3( skol2 ) ==> skol6( skol2
% 0.46/1.11     ) }.
% 0.46/1.11  substitution0:
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  subsumption: (113) {G8,W5,D3,L1,V0,M1} R(17,67) { ! skol6( skol2 ) ==> 
% 0.46/1.11    skol3( skol2 ) }.
% 0.46/1.11  parent0: (373) {G1,W5,D3,L1,V0,M1}  { ! skol6( skol2 ) ==> skol3( skol2 )
% 0.46/1.11     }.
% 0.46/1.11  substitution0:
% 0.46/1.11  end
% 0.46/1.11  permutation0:
% 0.46/1.11     0 ==> 0
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  eqswap: (374) {G9,W7,D3,L2,V1,M2}  { X = skol3( skol2 ), ! rp( skol2, X )
% 0.46/1.11     }.
% 0.46/1.11  parent0[1]: (106) {G9,W7,D3,L2,V1,M2} R(102,12);r(54) { ! rp( skol2, X ), 
% 0.46/1.11    skol3( skol2 ) = X }.
% 0.46/1.11  substitution0:
% 0.46/1.11     X := X
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  resolution: (375) {G9,W5,D3,L1,V0,M1}  { skol6( skol2 ) = skol3( skol2 )
% 0.46/1.11     }.
% 0.46/1.11  parent0[1]: (374) {G9,W7,D3,L2,V1,M2}  { X = skol3( skol2 ), ! rp( skol2, X
% 0.46/1.11     ) }.
% 0.46/1.11  parent1[0]: (68) {G8,W4,D3,L1,V0,M1} R(16,67) { rp( skol2, skol6( skol2 ) )
% 0.46/1.11     }.
% 0.46/1.11  substitution0:
% 0.46/1.11     X := skol6( skol2 )
% 0.46/1.11  end
% 0.46/1.11  substitution1:
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  subsumption: (154) {G10,W5,D3,L1,V0,M1} R(106,68) { skol6( skol2 ) ==> 
% 0.46/1.11    skol3( skol2 ) }.
% 0.46/1.11  parent0: (375) {G9,W5,D3,L1,V0,M1}  { skol6( skol2 ) = skol3( skol2 ) }.
% 0.46/1.11  substitution0:
% 0.46/1.11  end
% 0.46/1.11  permutation0:
% 0.46/1.11     0 ==> 0
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  eqswap: (377) {G9,W7,D3,L2,V1,M2}  { X = skol3( skol2 ), ! rp( skol2, X )
% 0.46/1.11     }.
% 0.46/1.11  parent0[1]: (106) {G9,W7,D3,L2,V1,M2} R(102,12);r(54) { ! rp( skol2, X ), 
% 0.46/1.11    skol3( skol2 ) = X }.
% 0.46/1.11  substitution0:
% 0.46/1.11     X := X
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  resolution: (378) {G7,W5,D3,L1,V0,M1}  { skol1( skol2 ) = skol3( skol2 )
% 0.46/1.11     }.
% 0.46/1.11  parent0[1]: (377) {G9,W7,D3,L2,V1,M2}  { X = skol3( skol2 ), ! rp( skol2, X
% 0.46/1.11     ) }.
% 0.46/1.11  parent1[0]: (61) {G6,W4,D3,L1,V0,M1} R(11,54) { rp( skol2, skol1( skol2 ) )
% 0.46/1.11     }.
% 0.46/1.11  substitution0:
% 0.46/1.11     X := skol1( skol2 )
% 0.46/1.11  end
% 0.46/1.11  substitution1:
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  eqswap: (379) {G7,W5,D3,L1,V0,M1}  { skol3( skol2 ) = skol1( skol2 ) }.
% 0.46/1.11  parent0[0]: (378) {G7,W5,D3,L1,V0,M1}  { skol1( skol2 ) = skol3( skol2 )
% 0.46/1.11     }.
% 0.46/1.11  substitution0:
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  subsumption: (155) {G10,W5,D3,L1,V0,M1} R(106,61) { skol3( skol2 ) ==> 
% 0.46/1.11    skol1( skol2 ) }.
% 0.46/1.11  parent0: (379) {G7,W5,D3,L1,V0,M1}  { skol3( skol2 ) = skol1( skol2 ) }.
% 0.46/1.11  substitution0:
% 0.46/1.11  end
% 0.46/1.11  permutation0:
% 0.46/1.11     0 ==> 0
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  *** allocated 22500 integers for clauses
% 0.46/1.11  *** allocated 15000 integers for termspace/termends
% 0.46/1.11  eqswap: (380) {G9,W7,D3,L2,V1,M2}  { X = skol3( skol2 ), ! rp( skol2, X )
% 0.46/1.11     }.
% 0.46/1.11  parent0[1]: (106) {G9,W7,D3,L2,V1,M2} R(102,12);r(54) { ! rp( skol2, X ), 
% 0.46/1.11    skol3( skol2 ) = X }.
% 0.46/1.11  substitution0:
% 0.46/1.11     X := X
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  eqswap: (381) {G8,W5,D3,L1,V0,M1}  { ! skol3( skol2 ) ==> skol6( skol2 )
% 0.46/1.11     }.
% 0.46/1.11  parent0[0]: (113) {G8,W5,D3,L1,V0,M1} R(17,67) { ! skol6( skol2 ) ==> skol3
% 0.46/1.11    ( skol2 ) }.
% 0.46/1.11  substitution0:
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  paramod: (387) {G9,W9,D3,L2,V0,M2}  { ! skol3( skol2 ) ==> skol3( skol2 ), 
% 0.46/1.11    ! rp( skol2, skol6( skol2 ) ) }.
% 0.46/1.11  parent0[0]: (380) {G9,W7,D3,L2,V1,M2}  { X = skol3( skol2 ), ! rp( skol2, X
% 0.46/1.11     ) }.
% 0.46/1.11  parent1[0; 4]: (381) {G8,W5,D3,L1,V0,M1}  { ! skol3( skol2 ) ==> skol6( 
% 0.46/1.11    skol2 ) }.
% 0.46/1.11  substitution0:
% 0.46/1.11     X := skol6( skol2 )
% 0.46/1.11  end
% 0.46/1.11  substitution1:
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  eqrefl: (627) {G0,W4,D3,L1,V0,M1}  { ! rp( skol2, skol6( skol2 ) ) }.
% 0.46/1.11  parent0[0]: (387) {G9,W9,D3,L2,V0,M2}  { ! skol3( skol2 ) ==> skol3( skol2
% 0.46/1.11     ), ! rp( skol2, skol6( skol2 ) ) }.
% 0.46/1.11  substitution0:
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  paramod: (628) {G1,W4,D3,L1,V0,M1}  { ! rp( skol2, skol3( skol2 ) ) }.
% 0.46/1.11  parent0[0]: (154) {G10,W5,D3,L1,V0,M1} R(106,68) { skol6( skol2 ) ==> skol3
% 0.46/1.11    ( skol2 ) }.
% 0.46/1.11  parent1[0; 3]: (627) {G0,W4,D3,L1,V0,M1}  { ! rp( skol2, skol6( skol2 ) )
% 0.46/1.11     }.
% 0.46/1.11  substitution0:
% 0.46/1.11  end
% 0.46/1.11  substitution1:
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  paramod: (629) {G2,W4,D3,L1,V0,M1}  { ! rp( skol2, skol1( skol2 ) ) }.
% 0.46/1.11  parent0[0]: (155) {G10,W5,D3,L1,V0,M1} R(106,61) { skol3( skol2 ) ==> skol1
% 0.46/1.11    ( skol2 ) }.
% 0.46/1.11  parent1[0; 3]: (628) {G1,W4,D3,L1,V0,M1}  { ! rp( skol2, skol3( skol2 ) )
% 0.46/1.11     }.
% 0.46/1.11  substitution0:
% 0.46/1.11  end
% 0.46/1.11  substitution1:
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  resolution: (630) {G3,W0,D0,L0,V0,M0}  {  }.
% 0.46/1.11  parent0[0]: (629) {G2,W4,D3,L1,V0,M1}  { ! rp( skol2, skol1( skol2 ) ) }.
% 0.46/1.11  parent1[0]: (61) {G6,W4,D3,L1,V0,M1} R(11,54) { rp( skol2, skol1( skol2 ) )
% 0.46/1.11     }.
% 0.46/1.11  substitution0:
% 0.46/1.11  end
% 0.46/1.11  substitution1:
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  subsumption: (166) {G11,W0,D0,L0,V0,M0} P(106,113);q;d(154);d(155);r(61) { 
% 0.46/1.11     }.
% 0.46/1.11  parent0: (630) {G3,W0,D0,L0,V0,M0}  {  }.
% 0.46/1.11  substitution0:
% 0.46/1.11  end
% 0.46/1.11  permutation0:
% 0.46/1.11  end
% 0.46/1.11  
% 0.46/1.11  Proof check complete!
% 0.46/1.11  
% 0.46/1.11  Memory use:
% 0.46/1.11  
% 0.46/1.11  space for terms:        2344
% 0.46/1.11  space for clauses:      7119
% 0.46/1.11  
% 0.46/1.11  
% 0.46/1.11  clauses generated:      496
% 0.46/1.11  clauses kept:           167
% 0.46/1.11  clauses selected:       46
% 0.46/1.11  clauses deleted:        12
% 0.46/1.11  clauses inuse deleted:  0
% 0.46/1.11  
% 0.46/1.11  subsentry:          9837
% 0.46/1.11  literals s-matched: 2931
% 0.46/1.11  literals matched:   2929
% 0.46/1.11  full subsumption:   322
% 0.46/1.11  
% 0.46/1.11  checksum:           -1045364553
% 0.46/1.11  
% 0.46/1.11  
% 0.46/1.11  Bliksem ended
%------------------------------------------------------------------------------