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Bliksem---1.12.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : KRS069+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n027.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 02:42:07 EDT 2022

% Result   : Unsatisfiable 0.72s 1.10s
% Output   : Refutation 0.72s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : KRS069+1 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n027.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 : Tue Jun  7 15:15:25 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.72/1.10  *** allocated 10000 integers for termspace/termends
% 0.72/1.10  *** allocated 10000 integers for clauses
% 0.72/1.10  *** allocated 10000 integers for justifications
% 0.72/1.10  Bliksem 1.12
% 0.72/1.10  
% 0.72/1.10  
% 0.72/1.10  Automatic Strategy Selection
% 0.72/1.10  
% 0.72/1.10  
% 0.72/1.10  Clauses:
% 0.72/1.10  
% 0.72/1.10  { ! Y = X, ! cUnsatisfiable( Y ), cUnsatisfiable( X ) }.
% 0.72/1.10  { ! Y = X, ! cowlNothing( Y ), cowlNothing( X ) }.
% 0.72/1.10  { ! Y = X, ! cowlThing( Y ), cowlThing( X ) }.
% 0.72/1.10  { ! Y = X, ! cp1( Y ), cp1( X ) }.
% 0.72/1.10  { ! Y = X, ! cp2( Y ), cp2( X ) }.
% 0.72/1.10  { ! Z = X, ! rf1( Z, Y ), rf1( X, Y ) }.
% 0.72/1.10  { ! Z = X, ! rf1( Y, Z ), rf1( Y, X ) }.
% 0.72/1.10  { ! Z = X, ! rf2( Z, Y ), rf2( X, Y ) }.
% 0.72/1.10  { ! Z = X, ! rf2( Y, Z ), rf2( Y, X ) }.
% 0.72/1.10  { ! Z = X, ! rf3( Z, Y ), rf3( X, Y ) }.
% 0.72/1.10  { ! Z = X, ! rf3( Y, Z ), rf3( Y, X ) }.
% 0.72/1.10  { ! Y = X, ! xsd_integer( Y ), xsd_integer( X ) }.
% 0.72/1.10  { ! Y = X, ! xsd_string( Y ), xsd_string( X ) }.
% 0.72/1.10  { cowlThing( X ) }.
% 0.72/1.10  { ! cowlNothing( X ) }.
% 0.72/1.10  { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.72/1.10  { xsd_integer( X ), xsd_string( X ) }.
% 0.72/1.10  { ! cUnsatisfiable( X ), alpha1( X ) }.
% 0.72/1.10  { ! cUnsatisfiable( X ), alpha2( X ) }.
% 0.72/1.10  { ! alpha1( X ), ! alpha2( X ), cUnsatisfiable( X ) }.
% 0.72/1.10  { ! alpha2( X ), alpha3( X ) }.
% 0.72/1.10  { ! alpha2( X ), alpha4( X ) }.
% 0.72/1.10  { ! alpha3( X ), ! alpha4( X ), alpha2( X ) }.
% 0.72/1.10  { ! alpha4( X ), cp2( skol1( Y ) ) }.
% 0.72/1.10  { ! alpha4( X ), rf3( X, skol1( X ) ) }.
% 0.72/1.10  { ! rf3( X, Y ), ! cp2( Y ), alpha4( X ) }.
% 0.72/1.10  { ! alpha3( X ), ! cp1( skol2( Y ) ) }.
% 0.72/1.10  { ! alpha3( X ), rf2( X, skol2( X ) ) }.
% 0.72/1.10  { ! rf2( X, Y ), cp1( Y ), alpha3( X ) }.
% 0.72/1.10  { ! alpha1( X ), cp1( skol3( Y ) ) }.
% 0.72/1.10  { ! alpha1( X ), rf1( X, skol3( X ) ) }.
% 0.72/1.10  { ! rf1( X, Y ), ! cp1( Y ), alpha1( X ) }.
% 0.72/1.10  { ! rf1( Z, X ), ! rf1( Z, Y ), X = Y }.
% 0.72/1.10  { ! rf2( Z, X ), ! rf2( Z, Y ), X = Y }.
% 0.72/1.10  { ! rf3( Z, X ), ! rf3( Z, Y ), X = Y }.
% 0.72/1.10  { cUnsatisfiable( i2003_11_14_17_18_2750 ) }.
% 0.72/1.10  { ! rf3( X, Y ), rf1( X, Y ) }.
% 0.72/1.10  { ! rf3( X, Y ), rf2( X, Y ) }.
% 0.72/1.10  
% 0.72/1.10  percentage equality = 0.170213, percentage horn = 0.947368
% 0.72/1.10  This is a problem with some equality
% 0.72/1.10  
% 0.72/1.10  
% 0.72/1.10  
% 0.72/1.10  Options Used:
% 0.72/1.10  
% 0.72/1.10  useres =            1
% 0.72/1.10  useparamod =        1
% 0.72/1.10  useeqrefl =         1
% 0.72/1.10  useeqfact =         1
% 0.72/1.10  usefactor =         1
% 0.72/1.10  usesimpsplitting =  0
% 0.72/1.10  usesimpdemod =      5
% 0.72/1.10  usesimpres =        3
% 0.72/1.10  
% 0.72/1.10  resimpinuse      =  1000
% 0.72/1.10  resimpclauses =     20000
% 0.72/1.10  substype =          eqrewr
% 0.72/1.10  backwardsubs =      1
% 0.72/1.10  selectoldest =      5
% 0.72/1.10  
% 0.72/1.10  litorderings [0] =  split
% 0.72/1.10  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.72/1.10  
% 0.72/1.10  termordering =      kbo
% 0.72/1.10  
% 0.72/1.10  litapriori =        0
% 0.72/1.10  termapriori =       1
% 0.72/1.10  litaposteriori =    0
% 0.72/1.10  termaposteriori =   0
% 0.72/1.10  demodaposteriori =  0
% 0.72/1.10  ordereqreflfact =   0
% 0.72/1.10  
% 0.72/1.10  litselect =         negord
% 0.72/1.10  
% 0.72/1.10  maxweight =         15
% 0.72/1.10  maxdepth =          30000
% 0.72/1.10  maxlength =         115
% 0.72/1.10  maxnrvars =         195
% 0.72/1.10  excuselevel =       1
% 0.72/1.10  increasemaxweight = 1
% 0.72/1.10  
% 0.72/1.10  maxselected =       10000000
% 0.72/1.10  maxnrclauses =      10000000
% 0.72/1.10  
% 0.72/1.10  showgenerated =    0
% 0.72/1.10  showkept =         0
% 0.72/1.10  showselected =     0
% 0.72/1.10  showdeleted =      0
% 0.72/1.10  showresimp =       1
% 0.72/1.10  showstatus =       2000
% 0.72/1.10  
% 0.72/1.10  prologoutput =     0
% 0.72/1.10  nrgoals =          5000000
% 0.72/1.10  totalproof =       1
% 0.72/1.10  
% 0.72/1.10  Symbols occurring in the translation:
% 0.72/1.10  
% 0.72/1.10  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.72/1.10  .  [1, 2]      (w:1, o:32, a:1, s:1, b:0), 
% 0.72/1.10  !  [4, 1]      (w:0, o:13, a:1, s:1, b:0), 
% 0.72/1.10  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.72/1.10  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.72/1.10  cUnsatisfiable  [37, 1]      (w:1, o:18, a:1, s:1, b:0), 
% 0.72/1.10  cowlNothing  [38, 1]      (w:1, o:19, a:1, s:1, b:0), 
% 0.72/1.10  cowlThing  [39, 1]      (w:1, o:20, a:1, s:1, b:0), 
% 0.72/1.10  cp1  [40, 1]      (w:1, o:21, a:1, s:1, b:0), 
% 0.72/1.10  cp2  [41, 1]      (w:1, o:22, a:1, s:1, b:0), 
% 0.72/1.10  rf1  [43, 2]      (w:1, o:56, a:1, s:1, b:0), 
% 0.72/1.10  rf2  [44, 2]      (w:1, o:57, a:1, s:1, b:0), 
% 0.72/1.10  rf3  [45, 2]      (w:1, o:58, a:1, s:1, b:0), 
% 0.72/1.10  xsd_integer  [46, 1]      (w:1, o:23, a:1, s:1, b:0), 
% 0.72/1.10  xsd_string  [47, 1]      (w:1, o:24, a:1, s:1, b:0), 
% 0.72/1.10  i2003_11_14_17_18_2750  [51, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 0.72/1.10  alpha1  [52, 1]      (w:1, o:25, a:1, s:1, b:1), 
% 0.72/1.10  alpha2  [53, 1]      (w:1, o:26, a:1, s:1, b:1), 
% 0.72/1.10  alpha3  [54, 1]      (w:1, o:27, a:1, s:1, b:1), 
% 0.72/1.10  alpha4  [55, 1]      (w:1, o:28, a:1, s:1, b:1), 
% 0.72/1.10  skol1  [56, 1]      (w:1, o:29, a:1, s:1, b:1), 
% 0.72/1.10  skol2  [57, 1]      (w:1, o:30, a:1, s:1, b:1), 
% 0.72/1.10  skol3  [58, 1]      (w:1, o:31, a:1, s:1, b:1).
% 0.72/1.10  
% 0.72/1.10  
% 0.72/1.10  Starting Search:
% 0.72/1.10  
% 0.72/1.10  *** allocated 15000 integers for clauses
% 0.72/1.10  *** allocated 22500 integers for clauses
% 0.72/1.10  *** allocated 33750 integers for clauses
% 0.72/1.10  *** allocated 15000 integers for termspace/termends
% 0.72/1.10  *** allocated 50625 integers for clauses
% 0.72/1.10  Resimplifying inuse:
% 0.72/1.10  Done
% 0.72/1.10  
% 0.72/1.10  
% 0.72/1.10  Bliksems!, er is een bewijs:
% 0.72/1.10  % SZS status Unsatisfiable
% 0.72/1.10  % SZS output start Refutation
% 0.72/1.10  
% 0.72/1.10  (10) {G0,W9,D2,L3,V3,M3} I { ! Z = X, ! rf3( Y, Z ), rf3( Y, X ) }.
% 0.72/1.10  (17) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X ) }.
% 0.72/1.10  (18) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha2( X ) }.
% 0.72/1.10  (20) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), alpha3( X ) }.
% 0.72/1.10  (21) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), alpha4( X ) }.
% 0.72/1.10  (24) {G0,W6,D3,L2,V1,M2} I { ! alpha4( X ), rf3( X, skol1( X ) ) }.
% 0.72/1.10  (26) {G0,W5,D3,L2,V2,M2} I { ! alpha3( X ), ! cp1( skol2( Y ) ) }.
% 0.72/1.10  (27) {G0,W6,D3,L2,V1,M2} I { ! alpha3( X ), rf2( X, skol2( X ) ) }.
% 0.72/1.10  (29) {G0,W5,D3,L2,V2,M2} I { ! alpha1( X ), cp1( skol3( Y ) ) }.
% 0.72/1.10  (30) {G0,W6,D3,L2,V1,M2} I { ! alpha1( X ), rf1( X, skol3( X ) ) }.
% 0.72/1.10  (32) {G0,W9,D2,L3,V3,M3} I { ! rf1( Z, X ), ! rf1( Z, Y ), X = Y }.
% 0.72/1.10  (33) {G0,W9,D2,L3,V3,M3} I { ! rf2( Z, X ), ! rf2( Z, Y ), X = Y }.
% 0.72/1.10  (35) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( i2003_11_14_17_18_2750 ) }.
% 0.72/1.10  (36) {G0,W6,D2,L2,V2,M2} I { ! rf3( X, Y ), rf1( X, Y ) }.
% 0.72/1.10  (37) {G0,W6,D2,L2,V2,M2} I { ! rf3( X, Y ), rf2( X, Y ) }.
% 0.72/1.10  (43) {G1,W2,D2,L1,V0,M1} R(18,35) { alpha2( i2003_11_14_17_18_2750 ) }.
% 0.72/1.10  (44) {G2,W2,D2,L1,V0,M1} R(43,20) { alpha3( i2003_11_14_17_18_2750 ) }.
% 0.72/1.10  (45) {G2,W2,D2,L1,V0,M1} R(43,21) { alpha4( i2003_11_14_17_18_2750 ) }.
% 0.72/1.10  (49) {G1,W2,D2,L1,V0,M1} R(17,35) { alpha1( i2003_11_14_17_18_2750 ) }.
% 0.72/1.10  (58) {G2,W3,D3,L1,V1,M1} R(29,49) { cp1( skol3( X ) ) }.
% 0.72/1.10  (64) {G3,W3,D3,L1,V1,M1} R(26,44) { ! cp1( skol2( X ) ) }.
% 0.72/1.10  (94) {G1,W6,D3,L2,V1,M2} R(30,17) { rf1( X, skol3( X ) ), ! cUnsatisfiable
% 0.72/1.10    ( X ) }.
% 0.72/1.10  (106) {G1,W6,D3,L2,V1,M2} R(27,20) { rf2( X, skol2( X ) ), ! alpha2( X )
% 0.72/1.10     }.
% 0.72/1.10  (123) {G3,W4,D3,L1,V0,M1} R(24,45) { rf3( i2003_11_14_17_18_2750, skol1( 
% 0.72/1.10    i2003_11_14_17_18_2750 ) ) }.
% 0.72/1.10  (127) {G4,W4,D3,L1,V0,M1} R(123,36) { rf1( i2003_11_14_17_18_2750, skol1( 
% 0.72/1.10    i2003_11_14_17_18_2750 ) ) }.
% 0.72/1.10  (128) {G4,W4,D3,L1,V0,M1} R(123,37) { rf2( i2003_11_14_17_18_2750, skol1( 
% 0.72/1.10    i2003_11_14_17_18_2750 ) ) }.
% 0.72/1.10  (239) {G5,W7,D3,L2,V1,M2} R(32,127) { ! rf1( i2003_11_14_17_18_2750, X ), 
% 0.72/1.10    skol1( i2003_11_14_17_18_2750 ) = X }.
% 0.72/1.10  (329) {G5,W7,D3,L2,V1,M2} R(33,128) { ! rf2( i2003_11_14_17_18_2750, X ), 
% 0.72/1.10    skol1( i2003_11_14_17_18_2750 ) = X }.
% 0.72/1.10  (411) {G6,W5,D3,L1,V0,M1} R(329,106);r(43) { skol2( i2003_11_14_17_18_2750
% 0.72/1.10     ) ==> skol1( i2003_11_14_17_18_2750 ) }.
% 0.72/1.10  (566) {G7,W3,D3,L1,V0,M1} P(411,64) { ! cp1( skol1( i2003_11_14_17_18_2750
% 0.72/1.10     ) ) }.
% 0.72/1.10  (568) {G8,W5,D2,L2,V1,M2} P(329,566) { ! cp1( X ), ! rf2( 
% 0.72/1.10    i2003_11_14_17_18_2750, X ) }.
% 0.72/1.10  (577) {G9,W4,D3,L1,V1,M1} R(568,58) { ! rf2( i2003_11_14_17_18_2750, skol3
% 0.72/1.10    ( X ) ) }.
% 0.72/1.10  (584) {G10,W4,D3,L1,V1,M1} R(577,37) { ! rf3( i2003_11_14_17_18_2750, skol3
% 0.72/1.10    ( X ) ) }.
% 0.72/1.10  (613) {G11,W7,D3,L2,V2,M2} R(584,10) { ! X = skol3( Y ), ! rf3( 
% 0.72/1.10    i2003_11_14_17_18_2750, X ) }.
% 0.72/1.10  (932) {G12,W4,D3,L1,V1,M1} R(239,613);r(123) { ! rf1( 
% 0.72/1.10    i2003_11_14_17_18_2750, skol3( X ) ) }.
% 0.72/1.10  (1027) {G13,W0,D0,L0,V0,M0} R(932,94);r(35) {  }.
% 0.72/1.10  
% 0.72/1.10  
% 0.72/1.10  % SZS output end Refutation
% 0.72/1.10  found a proof!
% 0.72/1.10  
% 0.72/1.10  
% 0.72/1.10  Unprocessed initial clauses:
% 0.72/1.10  
% 0.72/1.10  (1029) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! cUnsatisfiable( Y ), 
% 0.72/1.10    cUnsatisfiable( X ) }.
% 0.72/1.10  (1030) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! cowlNothing( Y ), cowlNothing( X )
% 0.72/1.10     }.
% 0.72/1.10  (1031) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! cowlThing( Y ), cowlThing( X ) }.
% 0.72/1.10  (1032) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! cp1( Y ), cp1( X ) }.
% 0.72/1.10  (1033) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! cp2( Y ), cp2( X ) }.
% 0.72/1.10  (1034) {G0,W9,D2,L3,V3,M3}  { ! Z = X, ! rf1( Z, Y ), rf1( X, Y ) }.
% 0.72/1.10  (1035) {G0,W9,D2,L3,V3,M3}  { ! Z = X, ! rf1( Y, Z ), rf1( Y, X ) }.
% 0.72/1.10  (1036) {G0,W9,D2,L3,V3,M3}  { ! Z = X, ! rf2( Z, Y ), rf2( X, Y ) }.
% 0.72/1.10  (1037) {G0,W9,D2,L3,V3,M3}  { ! Z = X, ! rf2( Y, Z ), rf2( Y, X ) }.
% 0.72/1.10  (1038) {G0,W9,D2,L3,V3,M3}  { ! Z = X, ! rf3( Z, Y ), rf3( X, Y ) }.
% 0.72/1.10  (1039) {G0,W9,D2,L3,V3,M3}  { ! Z = X, ! rf3( Y, Z ), rf3( Y, X ) }.
% 0.72/1.10  (1040) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! xsd_integer( Y ), xsd_integer( X )
% 0.72/1.10     }.
% 0.72/1.10  (1041) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! xsd_string( Y ), xsd_string( X )
% 0.72/1.10     }.
% 0.72/1.10  (1042) {G0,W2,D2,L1,V1,M1}  { cowlThing( X ) }.
% 0.72/1.10  (1043) {G0,W2,D2,L1,V1,M1}  { ! cowlNothing( X ) }.
% 0.72/1.10  (1044) {G0,W4,D2,L2,V1,M2}  { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.72/1.10  (1045) {G0,W4,D2,L2,V1,M2}  { xsd_integer( X ), xsd_string( X ) }.
% 0.72/1.10  (1046) {G0,W4,D2,L2,V1,M2}  { ! cUnsatisfiable( X ), alpha1( X ) }.
% 0.72/1.10  (1047) {G0,W4,D2,L2,V1,M2}  { ! cUnsatisfiable( X ), alpha2( X ) }.
% 0.72/1.10  (1048) {G0,W6,D2,L3,V1,M3}  { ! alpha1( X ), ! alpha2( X ), cUnsatisfiable
% 0.72/1.10    ( X ) }.
% 0.72/1.10  (1049) {G0,W4,D2,L2,V1,M2}  { ! alpha2( X ), alpha3( X ) }.
% 0.72/1.10  (1050) {G0,W4,D2,L2,V1,M2}  { ! alpha2( X ), alpha4( X ) }.
% 0.72/1.10  (1051) {G0,W6,D2,L3,V1,M3}  { ! alpha3( X ), ! alpha4( X ), alpha2( X ) }.
% 0.72/1.10  (1052) {G0,W5,D3,L2,V2,M2}  { ! alpha4( X ), cp2( skol1( Y ) ) }.
% 0.72/1.10  (1053) {G0,W6,D3,L2,V1,M2}  { ! alpha4( X ), rf3( X, skol1( X ) ) }.
% 0.72/1.10  (1054) {G0,W7,D2,L3,V2,M3}  { ! rf3( X, Y ), ! cp2( Y ), alpha4( X ) }.
% 0.72/1.10  (1055) {G0,W5,D3,L2,V2,M2}  { ! alpha3( X ), ! cp1( skol2( Y ) ) }.
% 0.72/1.10  (1056) {G0,W6,D3,L2,V1,M2}  { ! alpha3( X ), rf2( X, skol2( X ) ) }.
% 0.72/1.10  (1057) {G0,W7,D2,L3,V2,M3}  { ! rf2( X, Y ), cp1( Y ), alpha3( X ) }.
% 0.72/1.10  (1058) {G0,W5,D3,L2,V2,M2}  { ! alpha1( X ), cp1( skol3( Y ) ) }.
% 0.72/1.10  (1059) {G0,W6,D3,L2,V1,M2}  { ! alpha1( X ), rf1( X, skol3( X ) ) }.
% 0.72/1.10  (1060) {G0,W7,D2,L3,V2,M3}  { ! rf1( X, Y ), ! cp1( Y ), alpha1( X ) }.
% 0.72/1.10  (1061) {G0,W9,D2,L3,V3,M3}  { ! rf1( Z, X ), ! rf1( Z, Y ), X = Y }.
% 0.72/1.10  (1062) {G0,W9,D2,L3,V3,M3}  { ! rf2( Z, X ), ! rf2( Z, Y ), X = Y }.
% 0.72/1.10  (1063) {G0,W9,D2,L3,V3,M3}  { ! rf3( Z, X ), ! rf3( Z, Y ), X = Y }.
% 0.72/1.10  (1064) {G0,W2,D2,L1,V0,M1}  { cUnsatisfiable( i2003_11_14_17_18_2750 ) }.
% 0.72/1.10  (1065) {G0,W6,D2,L2,V2,M2}  { ! rf3( X, Y ), rf1( X, Y ) }.
% 0.72/1.10  (1066) {G0,W6,D2,L2,V2,M2}  { ! rf3( X, Y ), rf2( X, Y ) }.
% 0.72/1.10  
% 0.72/1.10  
% 0.72/1.10  Total Proof:
% 0.72/1.10  
% 0.72/1.10  subsumption: (10) {G0,W9,D2,L3,V3,M3} I { ! Z = X, ! rf3( Y, Z ), rf3( Y, X
% 0.72/1.10     ) }.
% 0.72/1.10  parent0: (1039) {G0,W9,D2,L3,V3,M3}  { ! Z = X, ! rf3( Y, Z ), rf3( Y, X )
% 0.72/1.10     }.
% 0.72/1.10  substitution0:
% 0.72/1.10     X := X
% 0.72/1.10     Y := Y
% 0.72/1.10     Z := Z
% 0.72/1.10  end
% 0.72/1.10  permutation0:
% 0.72/1.10     0 ==> 0
% 0.72/1.10     1 ==> 1
% 0.72/1.10     2 ==> 2
% 0.72/1.10  end
% 0.72/1.10  
% 0.72/1.10  subsumption: (17) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X
% 0.72/1.10     ) }.
% 0.72/1.10  parent0: (1046) {G0,W4,D2,L2,V1,M2}  { ! cUnsatisfiable( X ), alpha1( X )
% 0.72/1.10     }.
% 0.72/1.10  substitution0:
% 0.72/1.10     X := X
% 0.72/1.10  end
% 0.72/1.10  permutation0:
% 0.72/1.10     0 ==> 0
% 0.72/1.10     1 ==> 1
% 0.72/1.10  end
% 0.72/1.10  
% 0.72/1.10  subsumption: (18) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha2( X
% 0.72/1.10     ) }.
% 0.72/1.10  parent0: (1047) {G0,W4,D2,L2,V1,M2}  { ! cUnsatisfiable( X ), alpha2( X )
% 0.72/1.10     }.
% 0.72/1.10  substitution0:
% 0.72/1.10     X := X
% 0.72/1.10  end
% 0.72/1.10  permutation0:
% 0.72/1.10     0 ==> 0
% 0.72/1.10     1 ==> 1
% 0.72/1.10  end
% 0.72/1.10  
% 0.72/1.10  subsumption: (20) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), alpha3( X ) }.
% 0.72/1.10  parent0: (1049) {G0,W4,D2,L2,V1,M2}  { ! alpha2( X ), alpha3( X ) }.
% 0.72/1.10  substitution0:
% 0.72/1.10     X := X
% 0.72/1.10  end
% 0.72/1.10  permutation0:
% 0.72/1.10     0 ==> 0
% 0.72/1.10     1 ==> 1
% 0.72/1.10  end
% 0.72/1.10  
% 0.72/1.10  subsumption: (21) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), alpha4( X ) }.
% 0.72/1.10  parent0: (1050) {G0,W4,D2,L2,V1,M2}  { ! alpha2( X ), alpha4( X ) }.
% 0.72/1.10  substitution0:
% 0.72/1.10     X := X
% 0.72/1.10  end
% 0.72/1.10  permutation0:
% 0.72/1.10     0 ==> 0
% 0.72/1.10     1 ==> 1
% 0.72/1.10  end
% 0.72/1.10  
% 0.72/1.10  subsumption: (24) {G0,W6,D3,L2,V1,M2} I { ! alpha4( X ), rf3( X, skol1( X )
% 0.72/1.10     ) }.
% 0.72/1.10  parent0: (1053) {G0,W6,D3,L2,V1,M2}  { ! alpha4( X ), rf3( X, skol1( X ) )
% 0.72/1.10     }.
% 0.72/1.10  substitution0:
% 0.72/1.10     X := X
% 0.72/1.10  end
% 0.72/1.10  permutation0:
% 0.72/1.10     0 ==> 0
% 0.72/1.10     1 ==> 1
% 0.72/1.10  end
% 0.72/1.10  
% 0.72/1.10  subsumption: (26) {G0,W5,D3,L2,V2,M2} I { ! alpha3( X ), ! cp1( skol2( Y )
% 0.72/1.10     ) }.
% 0.72/1.10  parent0: (1055) {G0,W5,D3,L2,V2,M2}  { ! alpha3( X ), ! cp1( skol2( Y ) )
% 0.72/1.10     }.
% 0.72/1.10  substitution0:
% 0.72/1.10     X := X
% 0.72/1.10     Y := Y
% 0.72/1.10  end
% 0.72/1.10  permutation0:
% 0.72/1.10     0 ==> 0
% 0.72/1.10     1 ==> 1
% 0.72/1.10  end
% 0.72/1.10  
% 0.72/1.10  subsumption: (27) {G0,W6,D3,L2,V1,M2} I { ! alpha3( X ), rf2( X, skol2( X )
% 0.72/1.10     ) }.
% 0.72/1.10  parent0: (1056) {G0,W6,D3,L2,V1,M2}  { ! alpha3( X ), rf2( X, skol2( X ) )
% 0.72/1.10     }.
% 0.72/1.10  substitution0:
% 0.72/1.10     X := X
% 0.72/1.10  end
% 0.72/1.10  permutation0:
% 0.72/1.10     0 ==> 0
% 0.72/1.10     1 ==> 1
% 0.72/1.10  end
% 0.72/1.10  
% 0.72/1.10  subsumption: (29) {G0,W5,D3,L2,V2,M2} I { ! alpha1( X ), cp1( skol3( Y ) )
% 0.72/1.10     }.
% 0.72/1.10  parent0: (1058) {G0,W5,D3,L2,V2,M2}  { ! alpha1( X ), cp1( skol3( Y ) ) }.
% 0.72/1.10  substitution0:
% 0.72/1.10     X := X
% 0.72/1.10     Y := Y
% 0.72/1.10  end
% 0.72/1.10  permutation0:
% 0.72/1.10     0 ==> 0
% 0.72/1.10     1 ==> 1
% 0.72/1.10  end
% 0.72/1.10  
% 0.72/1.10  subsumption: (30) {G0,W6,D3,L2,V1,M2} I { ! alpha1( X ), rf1( X, skol3( X )
% 0.72/1.10     ) }.
% 0.72/1.10  parent0: (1059) {G0,W6,D3,L2,V1,M2}  { ! alpha1( X ), rf1( X, skol3( X ) )
% 0.72/1.10     }.
% 0.72/1.10  substitution0:
% 0.72/1.10     X := X
% 0.72/1.10  end
% 0.72/1.10  permutation0:
% 0.72/1.10     0 ==> 0
% 0.72/1.10     1 ==> 1
% 0.72/1.10  end
% 0.72/1.10  
% 0.72/1.10  subsumption: (32) {G0,W9,D2,L3,V3,M3} I { ! rf1( Z, X ), ! rf1( Z, Y ), X =
% 0.72/1.10     Y }.
% 0.72/1.10  parent0: (1061) {G0,W9,D2,L3,V3,M3}  { ! rf1( Z, X ), ! rf1( Z, Y ), X = Y
% 0.72/1.10     }.
% 0.72/1.10  substitution0:
% 0.72/1.10     X := X
% 0.72/1.10     Y := Y
% 0.72/1.10     Z := Z
% 0.72/1.10  end
% 0.72/1.10  permutation0:
% 0.72/1.10     0 ==> 0
% 0.72/1.10     1 ==> 1
% 0.72/1.10     2 ==> 2
% 0.72/1.10  end
% 0.72/1.10  
% 0.72/1.10  subsumption: (33) {G0,W9,D2,L3,V3,M3} I { ! rf2( Z, X ), ! rf2( Z, Y ), X =
% 0.72/1.10     Y }.
% 0.72/1.10  parent0: (1062) {G0,W9,D2,L3,V3,M3}  { ! rf2( Z, X ), ! rf2( Z, Y ), X = Y
% 0.72/1.10     }.
% 0.72/1.10  substitution0:
% 0.72/1.10     X := X
% 0.72/1.10     Y := Y
% 0.72/1.10     Z := Z
% 0.72/1.10  end
% 0.72/1.10  permutation0:
% 0.72/1.10     0 ==> 0
% 0.72/1.10     1 ==> 1
% 0.72/1.10     2 ==> 2
% 0.72/1.10  end
% 0.72/1.10  
% 0.72/1.10  *** allocated 22500 integers for termspace/termends
% 0.72/1.10  subsumption: (35) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( 
% 0.72/1.10    i2003_11_14_17_18_2750 ) }.
% 0.72/1.10  parent0: (1064) {G0,W2,D2,L1,V0,M1}  { cUnsatisfiable( 
% 0.72/1.10    i2003_11_14_17_18_2750 ) }.
% 0.72/1.10  substitution0:
% 0.72/1.10  end
% 0.72/1.10  permutation0:
% 0.72/1.10     0 ==> 0
% 0.72/1.10  end
% 0.72/1.10  
% 0.72/1.10  subsumption: (36) {G0,W6,D2,L2,V2,M2} I { ! rf3( X, Y ), rf1( X, Y ) }.
% 0.72/1.10  parent0: (1065) {G0,W6,D2,L2,V2,M2}  { ! rf3( X, Y ), rf1( X, Y ) }.
% 0.72/1.10  substitution0:
% 0.72/1.10     X := X
% 0.72/1.10     Y := Y
% 0.72/1.10  end
% 0.72/1.10  permutation0:
% 0.72/1.10     0 ==> 0
% 0.72/1.10     1 ==> 1
% 0.72/1.10  end
% 0.72/1.10  
% 0.72/1.10  subsumption: (37) {G0,W6,D2,L2,V2,M2} I { ! rf3( X, Y ), rf2( X, Y ) }.
% 0.72/1.10  parent0: (1066) {G0,W6,D2,L2,V2,M2}  { ! rf3( X, Y ), rf2( X, Y ) }.
% 0.72/1.10  substitution0:
% 0.72/1.10     X := X
% 0.72/1.10     Y := Y
% 0.72/1.10  end
% 0.72/1.10  permutation0:
% 0.72/1.10     0 ==> 0
% 0.72/1.10     1 ==> 1
% 0.72/1.10  end
% 0.72/1.10  
% 0.72/1.10  resolution: (1272) {G1,W2,D2,L1,V0,M1}  { alpha2( i2003_11_14_17_18_2750 )
% 0.72/1.10     }.
% 0.72/1.10  parent0[0]: (18) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha2( X )
% 0.72/1.10     }.
% 0.72/1.10  parent1[0]: (35) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( 
% 0.72/1.10    i2003_11_14_17_18_2750 ) }.
% 0.72/1.10  substitution0:
% 0.72/1.10     X := i2003_11_14_17_18_2750
% 0.72/1.10  end
% 0.72/1.10  substitution1:
% 0.72/1.10  end
% 0.72/1.10  
% 0.72/1.10  subsumption: (43) {G1,W2,D2,L1,V0,M1} R(18,35) { alpha2( 
% 0.72/1.10    i2003_11_14_17_18_2750 ) }.
% 0.72/1.10  parent0: (1272) {G1,W2,D2,L1,V0,M1}  { alpha2( i2003_11_14_17_18_2750 ) }.
% 0.72/1.10  substitution0:
% 0.72/1.10  end
% 0.72/1.10  permutation0:
% 0.72/1.10     0 ==> 0
% 0.72/1.10  end
% 0.72/1.10  
% 0.72/1.10  resolution: (1273) {G1,W2,D2,L1,V0,M1}  { alpha3( i2003_11_14_17_18_2750 )
% 0.72/1.10     }.
% 0.72/1.10  parent0[0]: (20) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), alpha3( X ) }.
% 0.72/1.10  parent1[0]: (43) {G1,W2,D2,L1,V0,M1} R(18,35) { alpha2( 
% 0.72/1.10    i2003_11_14_17_18_2750 ) }.
% 0.72/1.10  substitution0:
% 0.72/1.10     X := i2003_11_14_17_18_2750
% 0.72/1.10  end
% 0.72/1.10  substitution1:
% 0.72/1.10  end
% 0.72/1.10  
% 0.72/1.10  subsumption: (44) {G2,W2,D2,L1,V0,M1} R(43,20) { alpha3( 
% 0.72/1.10    i2003_11_14_17_18_2750 ) }.
% 0.72/1.10  parent0: (1273) {G1,W2,D2,L1,V0,M1}  { alpha3( i2003_11_14_17_18_2750 ) }.
% 0.72/1.10  substitution0:
% 0.72/1.10  end
% 0.72/1.10  permutation0:
% 0.72/1.10     0 ==> 0
% 0.72/1.10  end
% 0.72/1.10  
% 0.72/1.10  resolution: (1274) {G1,W2,D2,L1,V0,M1}  { alpha4( i2003_11_14_17_18_2750 )
% 0.72/1.10     }.
% 0.72/1.10  parent0[0]: (21) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), alpha4( X ) }.
% 0.72/1.10  parent1[0]: (43) {G1,W2,D2,L1,V0,M1} R(18,35) { alpha2( 
% 0.72/1.10    i2003_11_14_17_18_2750 ) }.
% 0.72/1.10  substitution0:
% 0.72/1.10     X := i2003_11_14_17_18_2750
% 0.72/1.10  end
% 0.72/1.10  substitution1:
% 0.72/1.10  end
% 0.72/1.10  
% 0.72/1.10  subsumption: (45) {G2,W2,D2,L1,V0,M1} R(43,21) { alpha4( 
% 0.72/1.10    i2003_11_14_17_18_2750 ) }.
% 0.72/1.10  parent0: (1274) {G1,W2,D2,L1,V0,M1}  { alpha4( i2003_11_14_17_18_2750 ) }.
% 0.72/1.10  substitution0:
% 0.72/1.10  end
% 0.72/1.10  permutation0:
% 0.72/1.10     0 ==> 0
% 0.72/1.10  end
% 0.72/1.10  
% 0.72/1.10  resolution: (1275) {G1,W2,D2,L1,V0,M1}  { alpha1( i2003_11_14_17_18_2750 )
% 0.72/1.10     }.
% 0.72/1.10  parent0[0]: (17) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X )
% 0.72/1.10     }.
% 0.72/1.10  parent1[0]: (35) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( 
% 0.72/1.10    i2003_11_14_17_18_2750 ) }.
% 0.72/1.10  substitution0:
% 0.72/1.10     X := i2003_11_14_17_18_2750
% 0.72/1.10  end
% 0.72/1.10  substitution1:
% 0.72/1.10  end
% 0.72/1.10  
% 0.72/1.10  subsumption: (49) {G1,W2,D2,L1,V0,M1} R(17,35) { alpha1( 
% 0.72/1.10    i2003_11_14_17_18_2750 ) }.
% 0.72/1.10  parent0: (1275) {G1,W2,D2,L1,V0,M1}  { alpha1( i2003_11_14_17_18_2750 ) }.
% 0.72/1.10  substitution0:
% 0.72/1.10  end
% 0.72/1.10  permutation0:
% 0.72/1.10     0 ==> 0
% 0.72/1.10  end
% 0.72/1.10  
% 0.72/1.10  resolution: (1276) {G1,W3,D3,L1,V1,M1}  { cp1( skol3( X ) ) }.
% 0.72/1.10  parent0[0]: (29) {G0,W5,D3,L2,V2,M2} I { ! alpha1( X ), cp1( skol3( Y ) )
% 0.72/1.10     }.
% 0.72/1.10  parent1[0]: (49) {G1,W2,D2,L1,V0,M1} R(17,35) { alpha1( 
% 0.72/1.10    i2003_11_14_17_18_2750 ) }.
% 0.72/1.10  substitution0:
% 0.72/1.10     X := i2003_11_14_17_18_2750
% 0.72/1.10     Y := X
% 0.72/1.10  end
% 0.72/1.10  substitution1:
% 0.72/1.10  end
% 0.72/1.10  
% 0.72/1.10  subsumption: (58) {G2,W3,D3,L1,V1,M1} R(29,49) { cp1( skol3( X ) ) }.
% 0.72/1.10  parent0: (1276) {G1,W3,D3,L1,V1,M1}  { cp1( skol3( X ) ) }.
% 0.72/1.10  substitution0:
% 0.72/1.10     X := X
% 0.72/1.10  end
% 0.72/1.10  permutation0:
% 0.72/1.10     0 ==> 0
% 0.72/1.10  end
% 0.72/1.10  
% 0.72/1.10  resolution: (1277) {G1,W3,D3,L1,V1,M1}  { ! cp1( skol2( X ) ) }.
% 0.72/1.10  parent0[0]: (26) {G0,W5,D3,L2,V2,M2} I { ! alpha3( X ), ! cp1( skol2( Y ) )
% 0.72/1.10     }.
% 0.72/1.10  parent1[0]: (44) {G2,W2,D2,L1,V0,M1} R(43,20) { alpha3( 
% 0.72/1.10    i2003_11_14_17_18_2750 ) }.
% 0.72/1.10  substitution0:
% 0.72/1.10     X := i2003_11_14_17_18_2750
% 0.72/1.10     Y := X
% 0.72/1.10  end
% 0.72/1.10  substitution1:
% 0.72/1.10  end
% 0.72/1.10  
% 0.72/1.10  subsumption: (64) {G3,W3,D3,L1,V1,M1} R(26,44) { ! cp1( skol2( X ) ) }.
% 0.72/1.10  parent0: (1277) {G1,W3,D3,L1,V1,M1}  { ! cp1( skol2( X ) ) }.
% 0.72/1.10  substitution0:
% 0.72/1.10     X := X
% 0.72/1.10  end
% 0.72/1.10  permutation0:
% 0.72/1.10     0 ==> 0
% 0.72/1.10  end
% 0.72/1.10  
% 0.72/1.10  resolution: (1278) {G1,W6,D3,L2,V1,M2}  { rf1( X, skol3( X ) ), ! 
% 0.72/1.10    cUnsatisfiable( X ) }.
% 0.72/1.10  parent0[0]: (30) {G0,W6,D3,L2,V1,M2} I { ! alpha1( X ), rf1( X, skol3( X )
% 0.72/1.10     ) }.
% 0.72/1.10  parent1[1]: (17) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X )
% 0.72/1.10     }.
% 0.72/1.10  substitution0:
% 0.72/1.10     X := X
% 0.72/1.10  end
% 0.72/1.10  substitution1:
% 0.72/1.10     X := X
% 0.72/1.10  end
% 0.72/1.10  
% 0.72/1.10  subsumption: (94) {G1,W6,D3,L2,V1,M2} R(30,17) { rf1( X, skol3( X ) ), ! 
% 0.72/1.10    cUnsatisfiable( X ) }.
% 0.72/1.10  parent0: (1278) {G1,W6,D3,L2,V1,M2}  { rf1( X, skol3( X ) ), ! 
% 0.72/1.10    cUnsatisfiable( X ) }.
% 0.72/1.10  substitution0:
% 0.72/1.10     X := X
% 0.72/1.10  end
% 0.72/1.10  permutation0:
% 0.72/1.10     0 ==> 0
% 0.72/1.10     1 ==> 1
% 0.72/1.10  end
% 0.72/1.10  
% 0.72/1.10  resolution: (1279) {G1,W6,D3,L2,V1,M2}  { rf2( X, skol2( X ) ), ! alpha2( X
% 0.72/1.10     ) }.
% 0.72/1.10  parent0[0]: (27) {G0,W6,D3,L2,V1,M2} I { ! alpha3( X ), rf2( X, skol2( X )
% 0.72/1.10     ) }.
% 0.72/1.10  parent1[1]: (20) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), alpha3( X ) }.
% 0.72/1.10  substitution0:
% 0.72/1.10     X := X
% 0.72/1.10  end
% 0.72/1.10  substitution1:
% 0.72/1.10     X := X
% 0.72/1.10  end
% 0.72/1.10  
% 0.72/1.10  subsumption: (106) {G1,W6,D3,L2,V1,M2} R(27,20) { rf2( X, skol2( X ) ), ! 
% 0.72/1.10    alpha2( X ) }.
% 0.72/1.10  parent0: (1279) {G1,W6,D3,L2,V1,M2}  { rf2( X, skol2( X ) ), ! alpha2( X )
% 0.72/1.10     }.
% 0.72/1.10  substitution0:
% 0.72/1.10     X := X
% 0.72/1.10  end
% 0.72/1.10  permutation0:
% 0.72/1.10     0 ==> 0
% 0.72/1.10     1 ==> 1
% 0.72/1.10  end
% 0.72/1.10  
% 0.72/1.10  resolution: (1280) {G1,W4,D3,L1,V0,M1}  { rf3( i2003_11_14_17_18_2750, 
% 0.72/1.10    skol1( i2003_11_14_17_18_2750 ) ) }.
% 0.72/1.10  parent0[0]: (24) {G0,W6,D3,L2,V1,M2} I { ! alpha4( X ), rf3( X, skol1( X )
% 0.72/1.10     ) }.
% 0.72/1.10  parent1[0]: (45) {G2,W2,D2,L1,V0,M1} R(43,21) { alpha4( 
% 0.72/1.10    i2003_11_14_17_18_2750 ) }.
% 0.72/1.10  substitution0:
% 0.72/1.10     X := i2003_11_14_17_18_2750
% 0.72/1.10  end
% 0.72/1.10  substitution1:
% 0.72/1.10  end
% 0.72/1.10  
% 0.72/1.10  subsumption: (123) {G3,W4,D3,L1,V0,M1} R(24,45) { rf3( 
% 0.72/1.10    i2003_11_14_17_18_2750, skol1( i2003_11_14_17_18_2750 ) ) }.
% 0.72/1.10  parent0: (1280) {G1,W4,D3,L1,V0,M1}  { rf3( i2003_11_14_17_18_2750, skol1( 
% 0.72/1.10    i2003_11_14_17_18_2750 ) ) }.
% 0.72/1.10  substitution0:
% 0.72/1.10  end
% 0.72/1.10  permutation0:
% 0.72/1.10     0 ==> 0
% 0.72/1.10  end
% 0.72/1.10  
% 0.72/1.10  resolution: (1281) {G1,W4,D3,L1,V0,M1}  { rf1( i2003_11_14_17_18_2750, 
% 0.72/1.10    skol1( i2003_11_14_17_18_2750 ) ) }.
% 0.72/1.10  parent0[0]: (36) {G0,W6,D2,L2,V2,M2} I { ! rf3( X, Y ), rf1( X, Y ) }.
% 0.72/1.10  parent1[0]: (123) {G3,W4,D3,L1,V0,M1} R(24,45) { rf3( 
% 0.72/1.10    i2003_11_14_17_18_2750, skol1( i2003_11_14_17_18_2750 ) ) }.
% 0.72/1.10  substitution0:
% 0.72/1.10     X := i2003_11_14_17_18_2750
% 0.72/1.10     Y := skol1( i2003_11_14_17_18_2750 )
% 0.72/1.10  end
% 0.72/1.10  substitution1:
% 0.72/1.10  end
% 0.72/1.10  
% 0.72/1.10  subsumption: (127) {G4,W4,D3,L1,V0,M1} R(123,36) { rf1( 
% 0.72/1.10    i2003_11_14_17_18_2750, skol1( i2003_11_14_17_18_2750 ) ) }.
% 0.72/1.10  parent0: (1281) {G1,W4,D3,L1,V0,M1}  { rf1( i2003_11_14_17_18_2750, skol1( 
% 0.72/1.10    i2003_11_14_17_18_2750 ) ) }.
% 0.72/1.10  substitution0:
% 0.72/1.10  end
% 0.72/1.10  permutation0:
% 0.72/1.10     0 ==> 0
% 0.72/1.10  end
% 0.72/1.10  
% 0.72/1.10  resolution: (1282) {G1,W4,D3,L1,V0,M1}  { rf2( i2003_11_14_17_18_2750, 
% 0.72/1.10    skol1( i2003_11_14_17_18_2750 ) ) }.
% 0.72/1.10  parent0[0]: (37) {G0,W6,D2,L2,V2,M2} I { ! rf3( X, Y ), rf2( X, Y ) }.
% 0.72/1.10  parent1[0]: (123) {G3,W4,D3,L1,V0,M1} R(24,45) { rf3( 
% 0.72/1.10    i2003_11_14_17_18_2750, skol1( i2003_11_14_17_18_2750 ) ) }.
% 0.72/1.10  substitution0:
% 0.72/1.10     X := i2003_11_14_17_18_2750
% 0.72/1.10     Y := skol1( i2003_11_14_17_18_2750 )
% 0.72/1.10  end
% 0.72/1.10  substitution1:
% 0.72/1.10  end
% 0.72/1.10  
% 0.72/1.10  subsumption: (128) {G4,W4,D3,L1,V0,M1} R(123,37) { rf2( 
% 0.72/1.10    i2003_11_14_17_18_2750, skol1( i2003_11_14_17_18_2750 ) ) }.
% 0.72/1.10  parent0: (1282) {G1,W4,D3,L1,V0,M1}  { rf2( i2003_11_14_17_18_2750, skol1( 
% 0.72/1.10    i2003_11_14_17_18_2750 ) ) }.
% 0.72/1.10  substitution0:
% 0.72/1.10  end
% 0.72/1.10  permutation0:
% 0.72/1.10     0 ==> 0
% 0.72/1.10  end
% 0.72/1.10  
% 0.72/1.10  resolution: (1283) {G1,W7,D3,L2,V1,M2}  { ! rf1( i2003_11_14_17_18_2750, X
% 0.72/1.10     ), skol1( i2003_11_14_17_18_2750 ) = X }.
% 0.72/1.10  parent0[0]: (32) {G0,W9,D2,L3,V3,M3} I { ! rf1( Z, X ), ! rf1( Z, Y ), X = 
% 0.72/1.10    Y }.
% 0.72/1.10  parent1[0]: (127) {G4,W4,D3,L1,V0,M1} R(123,36) { rf1( 
% 0.72/1.10    i2003_11_14_17_18_2750, skol1( i2003_11_14_17_18_2750 ) ) }.
% 0.72/1.10  substitution0:
% 0.72/1.10     X := skol1( i2003_11_14_17_18_2750 )
% 0.72/1.10     Y := X
% 0.72/1.10     Z := i2003_11_14_17_18_2750
% 0.72/1.10  end
% 0.72/1.10  substitution1:
% 0.72/1.10  end
% 0.72/1.10  
% 0.72/1.10  subsumption: (239) {G5,W7,D3,L2,V1,M2} R(32,127) { ! rf1( 
% 0.72/1.10    i2003_11_14_17_18_2750, X ), skol1( i2003_11_14_17_18_2750 ) = X }.
% 0.72/1.10  parent0: (1283) {G1,W7,D3,L2,V1,M2}  { ! rf1( i2003_11_14_17_18_2750, X ), 
% 0.72/1.10    skol1( i2003_11_14_17_18_2750 ) = X }.
% 0.72/1.10  substitution0:
% 0.72/1.10     X := X
% 0.72/1.10  end
% 0.72/1.10  permutation0:
% 0.72/1.10     0 ==> 0
% 0.72/1.10     1 ==> 1
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  resolution: (1285) {G1,W7,D3,L2,V1,M2}  { ! rf2( i2003_11_14_17_18_2750, X
% 0.72/1.11     ), skol1( i2003_11_14_17_18_2750 ) = X }.
% 0.72/1.11  parent0[0]: (33) {G0,W9,D2,L3,V3,M3} I { ! rf2( Z, X ), ! rf2( Z, Y ), X = 
% 0.72/1.11    Y }.
% 0.72/1.11  parent1[0]: (128) {G4,W4,D3,L1,V0,M1} R(123,37) { rf2( 
% 0.72/1.11    i2003_11_14_17_18_2750, skol1( i2003_11_14_17_18_2750 ) ) }.
% 0.72/1.11  substitution0:
% 0.72/1.11     X := skol1( i2003_11_14_17_18_2750 )
% 0.72/1.11     Y := X
% 0.72/1.11     Z := i2003_11_14_17_18_2750
% 0.72/1.11  end
% 0.72/1.11  substitution1:
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  subsumption: (329) {G5,W7,D3,L2,V1,M2} R(33,128) { ! rf2( 
% 0.72/1.11    i2003_11_14_17_18_2750, X ), skol1( i2003_11_14_17_18_2750 ) = X }.
% 0.72/1.11  parent0: (1285) {G1,W7,D3,L2,V1,M2}  { ! rf2( i2003_11_14_17_18_2750, X ), 
% 0.72/1.11    skol1( i2003_11_14_17_18_2750 ) = X }.
% 0.72/1.11  substitution0:
% 0.72/1.11     X := X
% 0.72/1.11  end
% 0.72/1.11  permutation0:
% 0.72/1.11     0 ==> 0
% 0.72/1.11     1 ==> 1
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  eqswap: (1287) {G5,W7,D3,L2,V1,M2}  { X = skol1( i2003_11_14_17_18_2750 ), 
% 0.72/1.11    ! rf2( i2003_11_14_17_18_2750, X ) }.
% 0.72/1.11  parent0[1]: (329) {G5,W7,D3,L2,V1,M2} R(33,128) { ! rf2( 
% 0.72/1.11    i2003_11_14_17_18_2750, X ), skol1( i2003_11_14_17_18_2750 ) = X }.
% 0.72/1.11  substitution0:
% 0.72/1.11     X := X
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  resolution: (1288) {G2,W7,D3,L2,V0,M2}  { skol2( i2003_11_14_17_18_2750 ) =
% 0.72/1.11     skol1( i2003_11_14_17_18_2750 ), ! alpha2( i2003_11_14_17_18_2750 ) }.
% 0.72/1.11  parent0[1]: (1287) {G5,W7,D3,L2,V1,M2}  { X = skol1( i2003_11_14_17_18_2750
% 0.72/1.11     ), ! rf2( i2003_11_14_17_18_2750, X ) }.
% 0.72/1.11  parent1[0]: (106) {G1,W6,D3,L2,V1,M2} R(27,20) { rf2( X, skol2( X ) ), ! 
% 0.72/1.11    alpha2( X ) }.
% 0.72/1.11  substitution0:
% 0.72/1.11     X := skol2( i2003_11_14_17_18_2750 )
% 0.72/1.11  end
% 0.72/1.11  substitution1:
% 0.72/1.11     X := i2003_11_14_17_18_2750
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  resolution: (1289) {G2,W5,D3,L1,V0,M1}  { skol2( i2003_11_14_17_18_2750 ) =
% 0.72/1.11     skol1( i2003_11_14_17_18_2750 ) }.
% 0.72/1.11  parent0[1]: (1288) {G2,W7,D3,L2,V0,M2}  { skol2( i2003_11_14_17_18_2750 ) =
% 0.72/1.11     skol1( i2003_11_14_17_18_2750 ), ! alpha2( i2003_11_14_17_18_2750 ) }.
% 0.72/1.11  parent1[0]: (43) {G1,W2,D2,L1,V0,M1} R(18,35) { alpha2( 
% 0.72/1.11    i2003_11_14_17_18_2750 ) }.
% 0.72/1.11  substitution0:
% 0.72/1.11  end
% 0.72/1.11  substitution1:
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  subsumption: (411) {G6,W5,D3,L1,V0,M1} R(329,106);r(43) { skol2( 
% 0.72/1.11    i2003_11_14_17_18_2750 ) ==> skol1( i2003_11_14_17_18_2750 ) }.
% 0.72/1.11  parent0: (1289) {G2,W5,D3,L1,V0,M1}  { skol2( i2003_11_14_17_18_2750 ) = 
% 0.72/1.11    skol1( i2003_11_14_17_18_2750 ) }.
% 0.72/1.11  substitution0:
% 0.72/1.11  end
% 0.72/1.11  permutation0:
% 0.72/1.11     0 ==> 0
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  paramod: (1292) {G4,W3,D3,L1,V0,M1}  { ! cp1( skol1( i2003_11_14_17_18_2750
% 0.72/1.11     ) ) }.
% 0.72/1.11  parent0[0]: (411) {G6,W5,D3,L1,V0,M1} R(329,106);r(43) { skol2( 
% 0.72/1.11    i2003_11_14_17_18_2750 ) ==> skol1( i2003_11_14_17_18_2750 ) }.
% 0.72/1.11  parent1[0; 2]: (64) {G3,W3,D3,L1,V1,M1} R(26,44) { ! cp1( skol2( X ) ) }.
% 0.72/1.11  substitution0:
% 0.72/1.11  end
% 0.72/1.11  substitution1:
% 0.72/1.11     X := i2003_11_14_17_18_2750
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  subsumption: (566) {G7,W3,D3,L1,V0,M1} P(411,64) { ! cp1( skol1( 
% 0.72/1.11    i2003_11_14_17_18_2750 ) ) }.
% 0.72/1.11  parent0: (1292) {G4,W3,D3,L1,V0,M1}  { ! cp1( skol1( i2003_11_14_17_18_2750
% 0.72/1.11     ) ) }.
% 0.72/1.11  substitution0:
% 0.72/1.11  end
% 0.72/1.11  permutation0:
% 0.72/1.11     0 ==> 0
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  *** allocated 75937 integers for clauses
% 0.72/1.11  *** allocated 33750 integers for termspace/termends
% 0.72/1.11  paramod: (1549) {G6,W5,D2,L2,V1,M2}  { ! cp1( X ), ! rf2( 
% 0.72/1.11    i2003_11_14_17_18_2750, X ) }.
% 0.72/1.11  parent0[1]: (329) {G5,W7,D3,L2,V1,M2} R(33,128) { ! rf2( 
% 0.72/1.11    i2003_11_14_17_18_2750, X ), skol1( i2003_11_14_17_18_2750 ) = X }.
% 0.72/1.11  parent1[0; 2]: (566) {G7,W3,D3,L1,V0,M1} P(411,64) { ! cp1( skol1( 
% 0.72/1.11    i2003_11_14_17_18_2750 ) ) }.
% 0.72/1.11  substitution0:
% 0.72/1.11     X := X
% 0.72/1.11  end
% 0.72/1.11  substitution1:
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  subsumption: (568) {G8,W5,D2,L2,V1,M2} P(329,566) { ! cp1( X ), ! rf2( 
% 0.72/1.11    i2003_11_14_17_18_2750, X ) }.
% 0.72/1.11  parent0: (1549) {G6,W5,D2,L2,V1,M2}  { ! cp1( X ), ! rf2( 
% 0.72/1.11    i2003_11_14_17_18_2750, X ) }.
% 0.72/1.11  substitution0:
% 0.72/1.11     X := X
% 0.72/1.11  end
% 0.72/1.11  permutation0:
% 0.72/1.11     0 ==> 0
% 0.72/1.11     1 ==> 1
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  resolution: (1550) {G3,W4,D3,L1,V1,M1}  { ! rf2( i2003_11_14_17_18_2750, 
% 0.72/1.11    skol3( X ) ) }.
% 0.72/1.11  parent0[0]: (568) {G8,W5,D2,L2,V1,M2} P(329,566) { ! cp1( X ), ! rf2( 
% 0.72/1.11    i2003_11_14_17_18_2750, X ) }.
% 0.72/1.11  parent1[0]: (58) {G2,W3,D3,L1,V1,M1} R(29,49) { cp1( skol3( X ) ) }.
% 0.72/1.11  substitution0:
% 0.72/1.11     X := skol3( X )
% 0.72/1.11  end
% 0.72/1.11  substitution1:
% 0.72/1.11     X := X
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  subsumption: (577) {G9,W4,D3,L1,V1,M1} R(568,58) { ! rf2( 
% 0.72/1.11    i2003_11_14_17_18_2750, skol3( X ) ) }.
% 0.72/1.11  parent0: (1550) {G3,W4,D3,L1,V1,M1}  { ! rf2( i2003_11_14_17_18_2750, skol3
% 0.72/1.11    ( X ) ) }.
% 0.72/1.11  substitution0:
% 0.72/1.11     X := X
% 0.72/1.11  end
% 0.72/1.11  permutation0:
% 0.72/1.11     0 ==> 0
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  resolution: (1551) {G1,W4,D3,L1,V1,M1}  { ! rf3( i2003_11_14_17_18_2750, 
% 0.72/1.11    skol3( X ) ) }.
% 0.72/1.11  parent0[0]: (577) {G9,W4,D3,L1,V1,M1} R(568,58) { ! rf2( 
% 0.72/1.11    i2003_11_14_17_18_2750, skol3( X ) ) }.
% 0.72/1.11  parent1[1]: (37) {G0,W6,D2,L2,V2,M2} I { ! rf3( X, Y ), rf2( X, Y ) }.
% 0.72/1.11  substitution0:
% 0.72/1.11     X := X
% 0.72/1.11  end
% 0.72/1.11  substitution1:
% 0.72/1.11     X := i2003_11_14_17_18_2750
% 0.72/1.11     Y := skol3( X )
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  subsumption: (584) {G10,W4,D3,L1,V1,M1} R(577,37) { ! rf3( 
% 0.72/1.11    i2003_11_14_17_18_2750, skol3( X ) ) }.
% 0.72/1.11  parent0: (1551) {G1,W4,D3,L1,V1,M1}  { ! rf3( i2003_11_14_17_18_2750, skol3
% 0.72/1.11    ( X ) ) }.
% 0.72/1.11  substitution0:
% 0.72/1.11     X := X
% 0.72/1.11  end
% 0.72/1.11  permutation0:
% 0.72/1.11     0 ==> 0
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  eqswap: (1552) {G0,W9,D2,L3,V3,M3}  { ! Y = X, ! rf3( Z, X ), rf3( Z, Y )
% 0.72/1.11     }.
% 0.72/1.11  parent0[0]: (10) {G0,W9,D2,L3,V3,M3} I { ! Z = X, ! rf3( Y, Z ), rf3( Y, X
% 0.72/1.11     ) }.
% 0.72/1.11  substitution0:
% 0.72/1.11     X := Y
% 0.72/1.11     Y := Z
% 0.72/1.11     Z := X
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  resolution: (1553) {G1,W7,D3,L2,V2,M2}  { ! skol3( X ) = Y, ! rf3( 
% 0.72/1.11    i2003_11_14_17_18_2750, Y ) }.
% 0.72/1.11  parent0[0]: (584) {G10,W4,D3,L1,V1,M1} R(577,37) { ! rf3( 
% 0.72/1.11    i2003_11_14_17_18_2750, skol3( X ) ) }.
% 0.72/1.11  parent1[2]: (1552) {G0,W9,D2,L3,V3,M3}  { ! Y = X, ! rf3( Z, X ), rf3( Z, Y
% 0.72/1.11     ) }.
% 0.72/1.11  substitution0:
% 0.72/1.11     X := X
% 0.72/1.11  end
% 0.72/1.11  substitution1:
% 0.72/1.11     X := Y
% 0.72/1.11     Y := skol3( X )
% 0.72/1.11     Z := i2003_11_14_17_18_2750
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  eqswap: (1554) {G1,W7,D3,L2,V2,M2}  { ! Y = skol3( X ), ! rf3( 
% 0.72/1.11    i2003_11_14_17_18_2750, Y ) }.
% 0.72/1.11  parent0[0]: (1553) {G1,W7,D3,L2,V2,M2}  { ! skol3( X ) = Y, ! rf3( 
% 0.72/1.11    i2003_11_14_17_18_2750, Y ) }.
% 0.72/1.11  substitution0:
% 0.72/1.11     X := X
% 0.72/1.11     Y := Y
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  subsumption: (613) {G11,W7,D3,L2,V2,M2} R(584,10) { ! X = skol3( Y ), ! rf3
% 0.72/1.11    ( i2003_11_14_17_18_2750, X ) }.
% 0.72/1.11  parent0: (1554) {G1,W7,D3,L2,V2,M2}  { ! Y = skol3( X ), ! rf3( 
% 0.72/1.11    i2003_11_14_17_18_2750, Y ) }.
% 0.72/1.11  substitution0:
% 0.72/1.11     X := Y
% 0.72/1.11     Y := X
% 0.72/1.11  end
% 0.72/1.11  permutation0:
% 0.72/1.11     0 ==> 0
% 0.72/1.11     1 ==> 1
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  eqswap: (1555) {G5,W7,D3,L2,V1,M2}  { X = skol1( i2003_11_14_17_18_2750 ), 
% 0.72/1.11    ! rf1( i2003_11_14_17_18_2750, X ) }.
% 0.72/1.11  parent0[1]: (239) {G5,W7,D3,L2,V1,M2} R(32,127) { ! rf1( 
% 0.72/1.11    i2003_11_14_17_18_2750, X ), skol1( i2003_11_14_17_18_2750 ) = X }.
% 0.72/1.11  substitution0:
% 0.72/1.11     X := X
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  eqswap: (1556) {G11,W7,D3,L2,V2,M2}  { ! skol3( Y ) = X, ! rf3( 
% 0.72/1.11    i2003_11_14_17_18_2750, X ) }.
% 0.72/1.11  parent0[0]: (613) {G11,W7,D3,L2,V2,M2} R(584,10) { ! X = skol3( Y ), ! rf3
% 0.72/1.11    ( i2003_11_14_17_18_2750, X ) }.
% 0.72/1.11  substitution0:
% 0.72/1.11     X := X
% 0.72/1.11     Y := Y
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  resolution: (1557) {G6,W8,D3,L2,V1,M2}  { ! rf3( i2003_11_14_17_18_2750, 
% 0.72/1.11    skol1( i2003_11_14_17_18_2750 ) ), ! rf1( i2003_11_14_17_18_2750, skol3( 
% 0.72/1.11    X ) ) }.
% 0.72/1.11  parent0[0]: (1556) {G11,W7,D3,L2,V2,M2}  { ! skol3( Y ) = X, ! rf3( 
% 0.72/1.11    i2003_11_14_17_18_2750, X ) }.
% 0.72/1.11  parent1[0]: (1555) {G5,W7,D3,L2,V1,M2}  { X = skol1( i2003_11_14_17_18_2750
% 0.72/1.11     ), ! rf1( i2003_11_14_17_18_2750, X ) }.
% 0.72/1.11  substitution0:
% 0.72/1.11     X := skol1( i2003_11_14_17_18_2750 )
% 0.72/1.11     Y := X
% 0.72/1.11  end
% 0.72/1.11  substitution1:
% 0.72/1.11     X := skol3( X )
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  resolution: (1558) {G4,W4,D3,L1,V1,M1}  { ! rf1( i2003_11_14_17_18_2750, 
% 0.72/1.11    skol3( X ) ) }.
% 0.72/1.11  parent0[0]: (1557) {G6,W8,D3,L2,V1,M2}  { ! rf3( i2003_11_14_17_18_2750, 
% 0.72/1.11    skol1( i2003_11_14_17_18_2750 ) ), ! rf1( i2003_11_14_17_18_2750, skol3( 
% 0.72/1.11    X ) ) }.
% 0.72/1.11  parent1[0]: (123) {G3,W4,D3,L1,V0,M1} R(24,45) { rf3( 
% 0.72/1.11    i2003_11_14_17_18_2750, skol1( i2003_11_14_17_18_2750 ) ) }.
% 0.72/1.11  substitution0:
% 0.72/1.11     X := X
% 0.72/1.11  end
% 0.72/1.11  substitution1:
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  subsumption: (932) {G12,W4,D3,L1,V1,M1} R(239,613);r(123) { ! rf1( 
% 0.72/1.11    i2003_11_14_17_18_2750, skol3( X ) ) }.
% 0.72/1.11  parent0: (1558) {G4,W4,D3,L1,V1,M1}  { ! rf1( i2003_11_14_17_18_2750, skol3
% 0.72/1.11    ( X ) ) }.
% 0.72/1.11  substitution0:
% 0.72/1.11     X := X
% 0.72/1.11  end
% 0.72/1.11  permutation0:
% 0.72/1.11     0 ==> 0
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  resolution: (1559) {G2,W2,D2,L1,V0,M1}  { ! cUnsatisfiable( 
% 0.72/1.11    i2003_11_14_17_18_2750 ) }.
% 0.72/1.11  parent0[0]: (932) {G12,W4,D3,L1,V1,M1} R(239,613);r(123) { ! rf1( 
% 0.72/1.11    i2003_11_14_17_18_2750, skol3( X ) ) }.
% 0.72/1.11  parent1[0]: (94) {G1,W6,D3,L2,V1,M2} R(30,17) { rf1( X, skol3( X ) ), ! 
% 0.72/1.11    cUnsatisfiable( X ) }.
% 0.72/1.11  substitution0:
% 0.72/1.11     X := i2003_11_14_17_18_2750
% 0.72/1.11  end
% 0.72/1.11  substitution1:
% 0.72/1.11     X := i2003_11_14_17_18_2750
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  resolution: (1560) {G1,W0,D0,L0,V0,M0}  {  }.
% 0.72/1.11  parent0[0]: (1559) {G2,W2,D2,L1,V0,M1}  { ! cUnsatisfiable( 
% 0.72/1.11    i2003_11_14_17_18_2750 ) }.
% 0.72/1.11  parent1[0]: (35) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( 
% 0.72/1.11    i2003_11_14_17_18_2750 ) }.
% 0.72/1.11  substitution0:
% 0.72/1.11  end
% 0.72/1.11  substitution1:
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  subsumption: (1027) {G13,W0,D0,L0,V0,M0} R(932,94);r(35) {  }.
% 0.72/1.11  parent0: (1560) {G1,W0,D0,L0,V0,M0}  {  }.
% 0.72/1.11  substitution0:
% 0.72/1.11  end
% 0.72/1.11  permutation0:
% 0.72/1.11  end
% 0.72/1.11  
% 0.72/1.11  Proof check complete!
% 0.72/1.11  
% 0.72/1.11  Memory use:
% 0.72/1.11  
% 0.72/1.11  space for terms:        13119
% 0.72/1.11  space for clauses:      40473
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  clauses generated:      3265
% 0.72/1.11  clauses kept:           1028
% 0.72/1.11  clauses selected:       123
% 0.72/1.11  clauses deleted:        17
% 0.72/1.11  clauses inuse deleted:  5
% 0.72/1.11  
% 0.72/1.11  subsentry:          20609
% 0.72/1.11  literals s-matched: 8119
% 0.72/1.11  literals matched:   8072
% 0.72/1.11  full subsumption:   2403
% 0.72/1.11  
% 0.72/1.11  checksum:           1222336792
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  Bliksem ended
%------------------------------------------------------------------------------