TSTP Solution File: LAT381+1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : LAT381+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 0s
% DateTime : Sun Jul 17 03:51:49 EDT 2022

% Result   : Theorem 0.44s 0.96s
% Output   : Refutation 0.44s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.07  % Problem  : LAT381+1 : TPTP v8.1.0. Released v4.0.0.
% 0.02/0.07  % Command  : bliksem %s
% 0.06/0.25  % Computer : n012.cluster.edu
% 0.06/0.25  % Model    : x86_64 x86_64
% 0.06/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25  % Memory   : 8042.1875MB
% 0.06/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25  % CPULimit : 300
% 0.06/0.25  % DateTime : Wed Jun 29 19:55:48 EDT 2022
% 0.06/0.25  % CPUTime  : 
% 0.44/0.96  *** allocated 10000 integers for termspace/termends
% 0.44/0.96  *** allocated 10000 integers for clauses
% 0.44/0.96  *** allocated 10000 integers for justifications
% 0.44/0.96  Bliksem 1.12
% 0.44/0.96  
% 0.44/0.96  
% 0.44/0.96  Automatic Strategy Selection
% 0.44/0.96  
% 0.44/0.96  
% 0.44/0.96  Clauses:
% 0.44/0.96  
% 0.44/0.96  { && }.
% 0.44/0.96  { && }.
% 0.44/0.96  { ! aSet0( X ), ! aElementOf0( Y, X ), aElement0( Y ) }.
% 0.44/0.96  { ! aSet0( X ), ! isEmpty0( X ), ! aElementOf0( Y, X ) }.
% 0.44/0.96  { ! aSet0( X ), aElementOf0( skol1( X ), X ), isEmpty0( X ) }.
% 0.44/0.96  { ! aSet0( X ), ! aSubsetOf0( Y, X ), aSet0( Y ) }.
% 0.44/0.96  { ! aSet0( X ), ! aSubsetOf0( Y, X ), alpha1( X, Y ) }.
% 0.44/0.96  { ! aSet0( X ), ! aSet0( Y ), ! alpha1( X, Y ), aSubsetOf0( Y, X ) }.
% 0.44/0.96  { ! alpha1( X, Y ), ! aElementOf0( Z, Y ), aElementOf0( Z, X ) }.
% 0.44/0.96  { aElementOf0( skol2( Z, Y ), Y ), alpha1( X, Y ) }.
% 0.44/0.96  { ! aElementOf0( skol2( X, Y ), X ), alpha1( X, Y ) }.
% 0.44/0.96  { && }.
% 0.44/0.96  { ! aElement0( X ), sdtlseqdt0( X, X ) }.
% 0.44/0.96  { ! aElement0( X ), ! aElement0( Y ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y
% 0.44/0.96    , X ), X = Y }.
% 0.44/0.96  { ! aElement0( X ), ! aElement0( Y ), ! aElement0( Z ), ! sdtlseqdt0( X, Y
% 0.44/0.96     ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 0.44/0.96  { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aLowerBoundOfIn0( Z, Y, X ), 
% 0.44/0.96    aElementOf0( Z, X ) }.
% 0.44/0.96  { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aLowerBoundOfIn0( Z, Y, X ), alpha2
% 0.44/0.96    ( Y, Z ) }.
% 0.44/0.96  { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aElementOf0( Z, X ), ! alpha2( Y, Z
% 0.44/0.96     ), aLowerBoundOfIn0( Z, Y, X ) }.
% 0.44/0.96  { ! alpha2( X, Y ), ! aElementOf0( Z, X ), sdtlseqdt0( Y, Z ) }.
% 0.44/0.96  { ! sdtlseqdt0( Y, skol3( Z, Y ) ), alpha2( X, Y ) }.
% 0.44/0.96  { aElementOf0( skol3( X, Y ), X ), alpha2( X, Y ) }.
% 0.44/0.96  { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aUpperBoundOfIn0( Z, Y, X ), 
% 0.44/0.96    aElementOf0( Z, X ) }.
% 0.44/0.96  { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aUpperBoundOfIn0( Z, Y, X ), alpha3
% 0.44/0.96    ( Y, Z ) }.
% 0.44/0.96  { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aElementOf0( Z, X ), ! alpha3( Y, Z
% 0.44/0.96     ), aUpperBoundOfIn0( Z, Y, X ) }.
% 0.44/0.96  { ! alpha3( X, Y ), ! aElementOf0( Z, X ), sdtlseqdt0( Z, Y ) }.
% 0.44/0.96  { ! sdtlseqdt0( skol4( Z, Y ), Y ), alpha3( X, Y ) }.
% 0.44/0.96  { aElementOf0( skol4( X, Y ), X ), alpha3( X, Y ) }.
% 0.44/0.96  { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aInfimumOfIn0( Z, Y, X ), 
% 0.44/0.96    aElementOf0( Z, X ) }.
% 0.44/0.96  { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aInfimumOfIn0( Z, Y, X ), alpha4( X
% 0.44/0.96    , Y, Z ) }.
% 0.44/0.96  { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aElementOf0( Z, X ), ! alpha4( X, Y
% 0.44/0.96    , Z ), aInfimumOfIn0( Z, Y, X ) }.
% 0.44/0.96  { ! alpha4( X, Y, Z ), aLowerBoundOfIn0( Z, Y, X ) }.
% 0.44/0.96  { ! alpha4( X, Y, Z ), alpha6( X, Y, Z ) }.
% 0.44/0.96  { ! aLowerBoundOfIn0( Z, Y, X ), ! alpha6( X, Y, Z ), alpha4( X, Y, Z ) }.
% 0.44/0.96  { ! alpha6( X, Y, Z ), ! aLowerBoundOfIn0( T, Y, X ), sdtlseqdt0( T, Z ) }
% 0.44/0.96    .
% 0.44/0.96  { ! sdtlseqdt0( skol5( T, U, Z ), Z ), alpha6( X, Y, Z ) }.
% 0.44/0.96  { aLowerBoundOfIn0( skol5( X, Y, Z ), Y, X ), alpha6( X, Y, Z ) }.
% 0.44/0.96  { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aSupremumOfIn0( Z, Y, X ), 
% 0.44/0.96    aElementOf0( Z, X ) }.
% 0.44/0.96  { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aSupremumOfIn0( Z, Y, X ), alpha5( 
% 0.44/0.96    X, Y, Z ) }.
% 0.44/0.96  { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aElementOf0( Z, X ), ! alpha5( X, Y
% 0.44/0.96    , Z ), aSupremumOfIn0( Z, Y, X ) }.
% 0.44/0.96  { ! alpha5( X, Y, Z ), aUpperBoundOfIn0( Z, Y, X ) }.
% 0.44/0.96  { ! alpha5( X, Y, Z ), alpha7( X, Y, Z ) }.
% 0.44/0.96  { ! aUpperBoundOfIn0( Z, Y, X ), ! alpha7( X, Y, Z ), alpha5( X, Y, Z ) }.
% 0.44/0.96  { ! alpha7( X, Y, Z ), ! aUpperBoundOfIn0( T, Y, X ), sdtlseqdt0( Z, T ) }
% 0.44/0.96    .
% 0.44/0.96  { ! sdtlseqdt0( Z, skol6( T, U, Z ) ), alpha7( X, Y, Z ) }.
% 0.44/0.96  { aUpperBoundOfIn0( skol6( X, Y, Z ), Y, X ), alpha7( X, Y, Z ) }.
% 0.44/0.96  { aSet0( xT ) }.
% 0.44/0.96  { aSubsetOf0( xS, xT ) }.
% 0.44/0.96  { aSupremumOfIn0( xu, xS, xT ) }.
% 0.44/0.96  { aSupremumOfIn0( xv, xS, xT ) }.
% 0.44/0.96  { ! xu = xv }.
% 0.44/0.96  
% 0.44/0.96  percentage equality = 0.014388, percentage horn = 0.875000
% 0.44/0.96  This is a problem with some equality
% 0.44/0.96  
% 0.44/0.96  
% 0.44/0.96  
% 0.44/0.96  Options Used:
% 0.44/0.96  
% 0.44/0.96  useres =            1
% 0.44/0.96  useparamod =        1
% 0.44/0.96  useeqrefl =         1
% 0.44/0.96  useeqfact =         1
% 0.44/0.96  usefactor =         1
% 0.44/0.96  usesimpsplitting =  0
% 0.44/0.96  usesimpdemod =      5
% 0.44/0.96  usesimpres =        3
% 0.44/0.96  
% 0.44/0.96  resimpinuse      =  1000
% 0.44/0.96  resimpclauses =     20000
% 0.44/0.96  substype =          eqrewr
% 0.44/0.96  backwardsubs =      1
% 0.44/0.96  selectoldest =      5
% 0.44/0.96  
% 0.44/0.96  litorderings [0] =  split
% 0.44/0.96  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.44/0.96  
% 0.44/0.96  termordering =      kbo
% 0.44/0.96  
% 0.44/0.96  litapriori =        0
% 0.44/0.96  termapriori =       1
% 0.44/0.96  litaposteriori =    0
% 0.44/0.96  termaposteriori =   0
% 0.44/0.96  demodaposteriori =  0
% 0.44/0.96  ordereqreflfact =   0
% 0.44/0.96  
% 0.44/0.96  litselect =         negord
% 0.44/0.96  
% 0.44/0.96  maxweight =         15
% 0.44/0.96  maxdepth =          30000
% 0.44/0.96  maxlength =         115
% 0.44/0.96  maxnrvars =         195
% 0.44/0.96  excuselevel =       1
% 0.44/0.96  increasemaxweight = 1
% 0.44/0.96  
% 0.44/0.96  maxselected =       10000000
% 0.44/0.96  maxnrclauses =      10000000
% 0.44/0.96  
% 0.44/0.96  showgenerated =    0
% 0.44/0.96  showkept =         0
% 0.44/0.96  showselected =     0
% 0.44/0.96  showdeleted =      0
% 0.44/0.96  showresimp =       1
% 0.44/0.96  showstatus =       2000
% 0.44/0.96  
% 0.44/0.96  prologoutput =     0
% 0.44/0.96  nrgoals =          5000000
% 0.44/0.96  totalproof =       1
% 0.44/0.96  
% 0.44/0.96  Symbols occurring in the translation:
% 0.44/0.96  
% 0.44/0.96  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.44/0.96  .  [1, 2]      (w:1, o:23, a:1, s:1, b:0), 
% 0.44/0.96  &&  [3, 0]      (w:1, o:4, a:1, s:1, b:0), 
% 0.44/0.96  !  [4, 1]      (w:0, o:14, a:1, s:1, b:0), 
% 0.44/0.96  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.44/0.96  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.44/0.96  aSet0  [36, 1]      (w:1, o:19, a:1, s:1, b:0), 
% 0.44/0.96  aElement0  [37, 1]      (w:1, o:20, a:1, s:1, b:0), 
% 0.44/0.96  aElementOf0  [39, 2]      (w:1, o:47, a:1, s:1, b:0), 
% 0.44/0.96  isEmpty0  [40, 1]      (w:1, o:21, a:1, s:1, b:0), 
% 0.44/0.96  aSubsetOf0  [41, 2]      (w:1, o:48, a:1, s:1, b:0), 
% 0.44/0.96  sdtlseqdt0  [43, 2]      (w:1, o:49, a:1, s:1, b:0), 
% 0.44/0.96  aLowerBoundOfIn0  [44, 3]      (w:1, o:56, a:1, s:1, b:0), 
% 0.44/0.96  aUpperBoundOfIn0  [46, 3]      (w:1, o:57, a:1, s:1, b:0), 
% 0.44/0.96  aInfimumOfIn0  [47, 3]      (w:1, o:58, a:1, s:1, b:0), 
% 0.44/0.96  aSupremumOfIn0  [48, 3]      (w:1, o:59, a:1, s:1, b:0), 
% 0.44/0.96  xT  [49, 0]      (w:1, o:11, a:1, s:1, b:0), 
% 0.44/0.96  xS  [50, 0]      (w:1, o:10, a:1, s:1, b:0), 
% 0.44/0.96  xu  [51, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 0.44/0.96  xv  [52, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 0.44/0.96  alpha1  [53, 2]      (w:1, o:50, a:1, s:1, b:1), 
% 0.44/0.96  alpha2  [54, 2]      (w:1, o:51, a:1, s:1, b:1), 
% 0.44/0.96  alpha3  [55, 2]      (w:1, o:52, a:1, s:1, b:1), 
% 0.44/0.96  alpha4  [56, 3]      (w:1, o:60, a:1, s:1, b:1), 
% 0.44/0.96  alpha5  [57, 3]      (w:1, o:61, a:1, s:1, b:1), 
% 0.44/0.96  alpha6  [58, 3]      (w:1, o:62, a:1, s:1, b:1), 
% 0.44/0.96  alpha7  [59, 3]      (w:1, o:63, a:1, s:1, b:1), 
% 0.44/0.96  skol1  [60, 1]      (w:1, o:22, a:1, s:1, b:1), 
% 0.44/0.96  skol2  [61, 2]      (w:1, o:53, a:1, s:1, b:1), 
% 0.44/0.96  skol3  [62, 2]      (w:1, o:54, a:1, s:1, b:1), 
% 0.44/0.96  skol4  [63, 2]      (w:1, o:55, a:1, s:1, b:1), 
% 0.44/0.96  skol5  [64, 3]      (w:1, o:64, a:1, s:1, b:1), 
% 0.44/0.96  skol6  [65, 3]      (w:1, o:65, a:1, s:1, b:1).
% 0.44/0.96  
% 0.44/0.96  
% 0.44/0.96  Starting Search:
% 0.44/0.96  
% 0.44/0.96  *** allocated 15000 integers for clauses
% 0.44/0.96  *** allocated 22500 integers for clauses
% 0.44/0.96  *** allocated 33750 integers for clauses
% 0.44/0.96  *** allocated 15000 integers for termspace/termends
% 0.44/0.96  *** allocated 50625 integers for clauses
% 0.44/0.96  Resimplifying inuse:
% 0.44/0.96  Done
% 0.44/0.96  
% 0.44/0.96  *** allocated 22500 integers for termspace/termends
% 0.44/0.96  *** allocated 75937 integers for clauses
% 0.44/0.96  *** allocated 33750 integers for termspace/termends
% 0.44/0.96  *** allocated 113905 integers for clauses
% 0.44/0.96  
% 0.44/0.96  Intermediate Status:
% 0.44/0.96  Generated:    5914
% 0.44/0.96  Kept:         2006
% 0.44/0.96  Inuse:        322
% 0.44/0.96  Deleted:      61
% 0.44/0.96  Deletedinuse: 41
% 0.44/0.96  
% 0.44/0.96  Resimplifying inuse:
% 0.44/0.96  Done
% 0.44/0.96  
% 0.44/0.96  *** allocated 50625 integers for termspace/termends
% 0.44/0.96  *** allocated 170857 integers for clauses
% 0.44/0.96  
% 0.44/0.96  Bliksems!, er is een bewijs:
% 0.44/0.96  % SZS status Theorem
% 0.44/0.96  % SZS output start Refutation
% 0.44/0.96  
% 0.44/0.96  (1) {G0,W7,D2,L3,V2,M3} I { ! aSet0( X ), ! aElementOf0( Y, X ), aElement0
% 0.44/0.96    ( Y ) }.
% 0.44/0.96  (11) {G0,W13,D2,L5,V2,M5} I { ! aElement0( X ), ! aElement0( Y ), ! 
% 0.44/0.96    sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 0.44/0.96  (34) {G0,W12,D2,L4,V3,M4} I { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! 
% 0.44/0.96    aSupremumOfIn0( Z, Y, X ), aElementOf0( Z, X ) }.
% 0.44/0.96  (35) {G0,W13,D2,L4,V3,M4} I { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! 
% 0.44/0.96    aSupremumOfIn0( Z, Y, X ), alpha5( X, Y, Z ) }.
% 0.44/0.96  (37) {G0,W8,D2,L2,V3,M2} I { ! alpha5( X, Y, Z ), aUpperBoundOfIn0( Z, Y, X
% 0.44/0.96     ) }.
% 0.44/0.96  (38) {G0,W8,D2,L2,V3,M2} I { ! alpha5( X, Y, Z ), alpha7( X, Y, Z ) }.
% 0.44/0.96  (40) {G0,W11,D2,L3,V4,M3} I { ! alpha7( X, Y, Z ), ! aUpperBoundOfIn0( T, Y
% 0.44/0.96    , X ), sdtlseqdt0( Z, T ) }.
% 0.44/0.96  (43) {G0,W2,D2,L1,V0,M1} I { aSet0( xT ) }.
% 0.44/0.96  (44) {G0,W3,D2,L1,V0,M1} I { aSubsetOf0( xS, xT ) }.
% 0.44/0.96  (45) {G0,W4,D2,L1,V0,M1} I { aSupremumOfIn0( xu, xS, xT ) }.
% 0.44/0.96  (46) {G0,W4,D2,L1,V0,M1} I { aSupremumOfIn0( xv, xS, xT ) }.
% 0.44/0.96  (47) {G0,W3,D2,L1,V0,M1} I { ! xv ==> xu }.
% 0.44/0.96  (49) {G1,W5,D2,L2,V1,M2} R(1,43) { ! aElementOf0( X, xT ), aElement0( X )
% 0.44/0.96     }.
% 0.44/0.96  (867) {G1,W6,D2,L2,V0,M2} R(34,45);r(43) { ! aSubsetOf0( xS, xT ), 
% 0.44/0.96    aElementOf0( xu, xT ) }.
% 0.44/0.96  (869) {G1,W6,D2,L2,V0,M2} R(34,46);r(43) { ! aSubsetOf0( xS, xT ), 
% 0.44/0.96    aElementOf0( xv, xT ) }.
% 0.44/0.96  (872) {G2,W3,D2,L1,V0,M1} S(867);r(44) { aElementOf0( xu, xT ) }.
% 0.44/0.96  (882) {G3,W2,D2,L1,V0,M1} R(872,49) { aElement0( xu ) }.
% 0.44/0.96  (901) {G1,W7,D2,L2,V0,M2} R(35,45);r(43) { ! aSubsetOf0( xS, xT ), alpha5( 
% 0.44/0.96    xT, xS, xu ) }.
% 0.44/0.96  (902) {G1,W7,D2,L2,V0,M2} R(35,46);r(43) { ! aSubsetOf0( xS, xT ), alpha5( 
% 0.44/0.96    xT, xS, xv ) }.
% 0.44/0.96  (1034) {G2,W3,D2,L1,V0,M1} S(869);r(44) { aElementOf0( xv, xT ) }.
% 0.44/0.96  (1041) {G3,W2,D2,L1,V0,M1} R(1034,49) { aElement0( xv ) }.
% 0.44/0.96  (1322) {G2,W4,D2,L1,V0,M1} S(901);r(44) { alpha5( xT, xS, xu ) }.
% 0.44/0.96  (1324) {G3,W4,D2,L1,V0,M1} R(1322,38) { alpha7( xT, xS, xu ) }.
% 0.44/0.96  (1325) {G3,W4,D2,L1,V0,M1} R(1322,37) { aUpperBoundOfIn0( xu, xS, xT ) }.
% 0.44/0.96  (1328) {G4,W7,D2,L2,V1,M2} R(1324,40) { ! aUpperBoundOfIn0( X, xS, xT ), 
% 0.44/0.96    sdtlseqdt0( xu, X ) }.
% 0.44/0.96  (1338) {G4,W7,D2,L2,V1,M2} R(1325,40) { ! alpha7( xT, xS, X ), sdtlseqdt0( 
% 0.44/0.96    X, xu ) }.
% 0.44/0.96  (1455) {G5,W7,D2,L2,V1,M2} R(1338,38) { sdtlseqdt0( X, xu ), ! alpha5( xT, 
% 0.44/0.96    xS, X ) }.
% 0.44/0.96  (1472) {G5,W7,D2,L2,V1,M2} R(1328,37) { sdtlseqdt0( xu, X ), ! alpha5( xT, 
% 0.44/0.96    xS, X ) }.
% 0.44/0.96  (1488) {G2,W4,D2,L1,V0,M1} S(902);r(44) { alpha5( xT, xS, xv ) }.
% 0.44/0.96  (1508) {G6,W3,D2,L1,V0,M1} R(1488,1472) { sdtlseqdt0( xu, xv ) }.
% 0.44/0.96  (1509) {G6,W3,D2,L1,V0,M1} R(1488,1455) { sdtlseqdt0( xv, xu ) }.
% 0.44/0.96  (1520) {G7,W8,D2,L3,V0,M3} R(1509,11);r(1041) { ! aElement0( xu ), ! 
% 0.44/0.96    sdtlseqdt0( xu, xv ), xv ==> xu }.
% 0.44/0.96  (2983) {G8,W0,D0,L0,V0,M0} S(1520);r(882);r(1508);r(47) {  }.
% 0.44/0.96  
% 0.44/0.96  
% 0.44/0.96  % SZS output end Refutation
% 0.44/0.96  found a proof!
% 0.44/0.96  
% 0.44/0.96  
% 0.44/0.96  Unprocessed initial clauses:
% 0.44/0.96  
% 0.44/0.96  (2985) {G0,W1,D1,L1,V0,M1}  { && }.
% 0.44/0.96  (2986) {G0,W1,D1,L1,V0,M1}  { && }.
% 0.44/0.96  (2987) {G0,W7,D2,L3,V2,M3}  { ! aSet0( X ), ! aElementOf0( Y, X ), 
% 0.44/0.96    aElement0( Y ) }.
% 0.44/0.96  (2988) {G0,W7,D2,L3,V2,M3}  { ! aSet0( X ), ! isEmpty0( X ), ! aElementOf0
% 0.44/0.96    ( Y, X ) }.
% 0.44/0.96  (2989) {G0,W8,D3,L3,V1,M3}  { ! aSet0( X ), aElementOf0( skol1( X ), X ), 
% 0.44/0.96    isEmpty0( X ) }.
% 0.44/0.96  (2990) {G0,W7,D2,L3,V2,M3}  { ! aSet0( X ), ! aSubsetOf0( Y, X ), aSet0( Y
% 0.44/0.96     ) }.
% 0.44/0.96  (2991) {G0,W8,D2,L3,V2,M3}  { ! aSet0( X ), ! aSubsetOf0( Y, X ), alpha1( X
% 0.44/0.96    , Y ) }.
% 0.44/0.96  (2992) {G0,W10,D2,L4,V2,M4}  { ! aSet0( X ), ! aSet0( Y ), ! alpha1( X, Y )
% 0.44/0.96    , aSubsetOf0( Y, X ) }.
% 0.44/0.96  (2993) {G0,W9,D2,L3,V3,M3}  { ! alpha1( X, Y ), ! aElementOf0( Z, Y ), 
% 0.44/0.96    aElementOf0( Z, X ) }.
% 0.44/0.96  (2994) {G0,W8,D3,L2,V3,M2}  { aElementOf0( skol2( Z, Y ), Y ), alpha1( X, Y
% 0.44/0.96     ) }.
% 0.44/0.96  (2995) {G0,W8,D3,L2,V2,M2}  { ! aElementOf0( skol2( X, Y ), X ), alpha1( X
% 0.44/0.96    , Y ) }.
% 0.44/0.96  (2996) {G0,W1,D1,L1,V0,M1}  { && }.
% 0.44/0.96  (2997) {G0,W5,D2,L2,V1,M2}  { ! aElement0( X ), sdtlseqdt0( X, X ) }.
% 0.44/0.96  (2998) {G0,W13,D2,L5,V2,M5}  { ! aElement0( X ), ! aElement0( Y ), ! 
% 0.44/0.96    sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 0.44/0.96  (2999) {G0,W15,D2,L6,V3,M6}  { ! aElement0( X ), ! aElement0( Y ), ! 
% 0.44/0.96    aElement0( Z ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X
% 0.44/0.96    , Z ) }.
% 0.44/0.96  (3000) {G0,W12,D2,L4,V3,M4}  { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! 
% 0.44/0.96    aLowerBoundOfIn0( Z, Y, X ), aElementOf0( Z, X ) }.
% 0.44/0.96  (3001) {G0,W12,D2,L4,V3,M4}  { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! 
% 0.44/0.96    aLowerBoundOfIn0( Z, Y, X ), alpha2( Y, Z ) }.
% 0.44/0.96  (3002) {G0,W15,D2,L5,V3,M5}  { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! 
% 0.44/0.96    aElementOf0( Z, X ), ! alpha2( Y, Z ), aLowerBoundOfIn0( Z, Y, X ) }.
% 0.44/0.96  (3003) {G0,W9,D2,L3,V3,M3}  { ! alpha2( X, Y ), ! aElementOf0( Z, X ), 
% 0.44/0.96    sdtlseqdt0( Y, Z ) }.
% 0.44/0.96  (3004) {G0,W8,D3,L2,V3,M2}  { ! sdtlseqdt0( Y, skol3( Z, Y ) ), alpha2( X, 
% 0.44/0.96    Y ) }.
% 0.44/0.96  (3005) {G0,W8,D3,L2,V2,M2}  { aElementOf0( skol3( X, Y ), X ), alpha2( X, Y
% 0.44/0.96     ) }.
% 0.44/0.96  (3006) {G0,W12,D2,L4,V3,M4}  { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! 
% 0.44/0.96    aUpperBoundOfIn0( Z, Y, X ), aElementOf0( Z, X ) }.
% 0.44/0.96  (3007) {G0,W12,D2,L4,V3,M4}  { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! 
% 0.44/0.96    aUpperBoundOfIn0( Z, Y, X ), alpha3( Y, Z ) }.
% 0.44/0.96  (3008) {G0,W15,D2,L5,V3,M5}  { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! 
% 0.44/0.96    aElementOf0( Z, X ), ! alpha3( Y, Z ), aUpperBoundOfIn0( Z, Y, X ) }.
% 0.44/0.96  (3009) {G0,W9,D2,L3,V3,M3}  { ! alpha3( X, Y ), ! aElementOf0( Z, X ), 
% 0.44/0.96    sdtlseqdt0( Z, Y ) }.
% 0.44/0.96  (3010) {G0,W8,D3,L2,V3,M2}  { ! sdtlseqdt0( skol4( Z, Y ), Y ), alpha3( X, 
% 0.44/0.96    Y ) }.
% 0.44/0.96  (3011) {G0,W8,D3,L2,V2,M2}  { aElementOf0( skol4( X, Y ), X ), alpha3( X, Y
% 0.44/0.96     ) }.
% 0.44/0.96  (3012) {G0,W12,D2,L4,V3,M4}  { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! 
% 0.44/0.96    aInfimumOfIn0( Z, Y, X ), aElementOf0( Z, X ) }.
% 0.44/0.96  (3013) {G0,W13,D2,L4,V3,M4}  { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! 
% 0.44/0.96    aInfimumOfIn0( Z, Y, X ), alpha4( X, Y, Z ) }.
% 0.44/0.96  (3014) {G0,W16,D2,L5,V3,M5}  { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! 
% 0.44/0.96    aElementOf0( Z, X ), ! alpha4( X, Y, Z ), aInfimumOfIn0( Z, Y, X ) }.
% 0.44/0.96  (3015) {G0,W8,D2,L2,V3,M2}  { ! alpha4( X, Y, Z ), aLowerBoundOfIn0( Z, Y, 
% 0.44/0.96    X ) }.
% 0.44/0.96  (3016) {G0,W8,D2,L2,V3,M2}  { ! alpha4( X, Y, Z ), alpha6( X, Y, Z ) }.
% 0.44/0.96  (3017) {G0,W12,D2,L3,V3,M3}  { ! aLowerBoundOfIn0( Z, Y, X ), ! alpha6( X, 
% 0.44/0.96    Y, Z ), alpha4( X, Y, Z ) }.
% 0.44/0.96  (3018) {G0,W11,D2,L3,V4,M3}  { ! alpha6( X, Y, Z ), ! aLowerBoundOfIn0( T, 
% 0.44/0.96    Y, X ), sdtlseqdt0( T, Z ) }.
% 0.44/0.96  (3019) {G0,W10,D3,L2,V5,M2}  { ! sdtlseqdt0( skol5( T, U, Z ), Z ), alpha6
% 0.44/0.96    ( X, Y, Z ) }.
% 0.44/0.96  (3020) {G0,W11,D3,L2,V3,M2}  { aLowerBoundOfIn0( skol5( X, Y, Z ), Y, X ), 
% 0.44/0.96    alpha6( X, Y, Z ) }.
% 0.44/0.96  (3021) {G0,W12,D2,L4,V3,M4}  { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! 
% 0.44/0.96    aSupremumOfIn0( Z, Y, X ), aElementOf0( Z, X ) }.
% 0.44/0.96  (3022) {G0,W13,D2,L4,V3,M4}  { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! 
% 0.44/0.96    aSupremumOfIn0( Z, Y, X ), alpha5( X, Y, Z ) }.
% 0.44/0.96  (3023) {G0,W16,D2,L5,V3,M5}  { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! 
% 0.44/0.96    aElementOf0( Z, X ), ! alpha5( X, Y, Z ), aSupremumOfIn0( Z, Y, X ) }.
% 0.44/0.96  (3024) {G0,W8,D2,L2,V3,M2}  { ! alpha5( X, Y, Z ), aUpperBoundOfIn0( Z, Y, 
% 0.44/0.96    X ) }.
% 0.44/0.96  (3025) {G0,W8,D2,L2,V3,M2}  { ! alpha5( X, Y, Z ), alpha7( X, Y, Z ) }.
% 0.44/0.96  (3026) {G0,W12,D2,L3,V3,M3}  { ! aUpperBoundOfIn0( Z, Y, X ), ! alpha7( X, 
% 0.44/0.96    Y, Z ), alpha5( X, Y, Z ) }.
% 0.44/0.96  (3027) {G0,W11,D2,L3,V4,M3}  { ! alpha7( X, Y, Z ), ! aUpperBoundOfIn0( T, 
% 0.44/0.96    Y, X ), sdtlseqdt0( Z, T ) }.
% 0.44/0.96  (3028) {G0,W10,D3,L2,V5,M2}  { ! sdtlseqdt0( Z, skol6( T, U, Z ) ), alpha7
% 0.44/0.96    ( X, Y, Z ) }.
% 0.44/0.96  (3029) {G0,W11,D3,L2,V3,M2}  { aUpperBoundOfIn0( skol6( X, Y, Z ), Y, X ), 
% 0.44/0.96    alpha7( X, Y, Z ) }.
% 0.44/0.96  (3030) {G0,W2,D2,L1,V0,M1}  { aSet0( xT ) }.
% 0.44/0.96  (3031) {G0,W3,D2,L1,V0,M1}  { aSubsetOf0( xS, xT ) }.
% 0.44/0.96  (3032) {G0,W4,D2,L1,V0,M1}  { aSupremumOfIn0( xu, xS, xT ) }.
% 0.44/0.96  (3033) {G0,W4,D2,L1,V0,M1}  { aSupremumOfIn0( xv, xS, xT ) }.
% 0.44/0.96  (3034) {G0,W3,D2,L1,V0,M1}  { ! xu = xv }.
% 0.44/0.96  
% 0.44/0.96  
% 0.44/0.96  Total Proof:
% 0.44/0.96  
% 0.44/0.96  subsumption: (1) {G0,W7,D2,L3,V2,M3} I { ! aSet0( X ), ! aElementOf0( Y, X
% 0.44/0.96     ), aElement0( Y ) }.
% 0.44/0.96  parent0: (2987) {G0,W7,D2,L3,V2,M3}  { ! aSet0( X ), ! aElementOf0( Y, X )
% 0.44/0.96    , aElement0( Y ) }.
% 0.44/0.96  substitution0:
% 0.44/0.96     X := X
% 0.44/0.96     Y := Y
% 0.44/0.96  end
% 0.44/0.96  permutation0:
% 0.44/0.96     0 ==> 0
% 0.44/0.96     1 ==> 1
% 0.44/0.96     2 ==> 2
% 0.44/0.96  end
% 0.44/0.96  
% 0.44/0.96  subsumption: (11) {G0,W13,D2,L5,V2,M5} I { ! aElement0( X ), ! aElement0( Y
% 0.44/0.96     ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 0.44/0.96  parent0: (2998) {G0,W13,D2,L5,V2,M5}  { ! aElement0( X ), ! aElement0( Y )
% 0.44/0.96    , ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 0.44/0.96  substitution0:
% 0.44/0.96     X := X
% 0.44/0.96     Y := Y
% 0.44/0.96  end
% 0.44/0.96  permutation0:
% 0.44/0.96     0 ==> 0
% 0.44/0.96     1 ==> 1
% 0.44/0.96     2 ==> 2
% 0.44/0.96     3 ==> 3
% 0.44/0.96     4 ==> 4
% 0.44/0.96  end
% 0.44/0.96  
% 0.44/0.96  subsumption: (34) {G0,W12,D2,L4,V3,M4} I { ! aSet0( X ), ! aSubsetOf0( Y, X
% 0.44/0.96     ), ! aSupremumOfIn0( Z, Y, X ), aElementOf0( Z, X ) }.
% 0.44/0.96  parent0: (3021) {G0,W12,D2,L4,V3,M4}  { ! aSet0( X ), ! aSubsetOf0( Y, X )
% 0.44/0.96    , ! aSupremumOfIn0( Z, Y, X ), aElementOf0( Z, X ) }.
% 0.44/0.96  substitution0:
% 0.44/0.96     X := X
% 0.44/0.96     Y := Y
% 0.44/0.96     Z := Z
% 0.44/0.96  end
% 0.44/0.96  permutation0:
% 0.44/0.96     0 ==> 0
% 0.44/0.96     1 ==> 1
% 0.44/0.96     2 ==> 2
% 0.44/0.96     3 ==> 3
% 0.44/0.96  end
% 0.44/0.96  
% 0.44/0.96  subsumption: (35) {G0,W13,D2,L4,V3,M4} I { ! aSet0( X ), ! aSubsetOf0( Y, X
% 0.44/0.96     ), ! aSupremumOfIn0( Z, Y, X ), alpha5( X, Y, Z ) }.
% 0.44/0.96  parent0: (3022) {G0,W13,D2,L4,V3,M4}  { ! aSet0( X ), ! aSubsetOf0( Y, X )
% 0.44/0.96    , ! aSupremumOfIn0( Z, Y, X ), alpha5( X, Y, Z ) }.
% 0.44/0.96  substitution0:
% 0.44/0.96     X := X
% 0.44/0.96     Y := Y
% 0.44/0.96     Z := Z
% 0.44/0.96  end
% 0.44/0.96  permutation0:
% 0.44/0.96     0 ==> 0
% 0.44/0.96     1 ==> 1
% 0.44/0.96     2 ==> 2
% 0.44/0.96     3 ==> 3
% 0.44/0.96  end
% 0.44/0.96  
% 0.44/0.96  subsumption: (37) {G0,W8,D2,L2,V3,M2} I { ! alpha5( X, Y, Z ), 
% 0.44/0.96    aUpperBoundOfIn0( Z, Y, X ) }.
% 0.44/0.96  parent0: (3024) {G0,W8,D2,L2,V3,M2}  { ! alpha5( X, Y, Z ), 
% 0.44/0.96    aUpperBoundOfIn0( Z, Y, X ) }.
% 0.44/0.96  substitution0:
% 0.44/0.96     X := X
% 0.44/0.96     Y := Y
% 0.44/0.96     Z := Z
% 0.44/0.96  end
% 0.44/0.96  permutation0:
% 0.44/0.96     0 ==> 0
% 0.44/0.96     1 ==> 1
% 0.44/0.96  end
% 0.44/0.96  
% 0.44/0.96  subsumption: (38) {G0,W8,D2,L2,V3,M2} I { ! alpha5( X, Y, Z ), alpha7( X, Y
% 0.44/0.96    , Z ) }.
% 0.44/0.96  parent0: (3025) {G0,W8,D2,L2,V3,M2}  { ! alpha5( X, Y, Z ), alpha7( X, Y, Z
% 0.44/0.96     ) }.
% 0.44/0.96  substitution0:
% 0.44/0.96     X := X
% 0.44/0.96     Y := Y
% 0.44/0.96     Z := Z
% 0.44/0.96  end
% 0.44/0.96  permutation0:
% 0.44/0.96     0 ==> 0
% 0.44/0.96     1 ==> 1
% 0.44/0.96  end
% 0.44/0.96  
% 0.44/0.96  subsumption: (40) {G0,W11,D2,L3,V4,M3} I { ! alpha7( X, Y, Z ), ! 
% 0.44/0.96    aUpperBoundOfIn0( T, Y, X ), sdtlseqdt0( Z, T ) }.
% 0.44/0.96  parent0: (3027) {G0,W11,D2,L3,V4,M3}  { ! alpha7( X, Y, Z ), ! 
% 0.44/0.96    aUpperBoundOfIn0( T, Y, X ), sdtlseqdt0( Z, T ) }.
% 0.44/0.96  substitution0:
% 0.44/0.96     X := X
% 0.44/0.96     Y := Y
% 0.44/0.96     Z := Z
% 0.44/0.96     T := T
% 0.44/0.96  end
% 0.44/0.96  permutation0:
% 0.44/0.96     0 ==> 0
% 0.44/0.96     1 ==> 1
% 0.44/0.96     2 ==> 2
% 0.44/0.96  end
% 0.44/0.96  
% 0.44/0.96  subsumption: (43) {G0,W2,D2,L1,V0,M1} I { aSet0( xT ) }.
% 0.44/0.96  parent0: (3030) {G0,W2,D2,L1,V0,M1}  { aSet0( xT ) }.
% 0.44/0.96  substitution0:
% 0.44/0.96  end
% 0.44/0.96  permutation0:
% 0.44/0.96     0 ==> 0
% 0.44/0.96  end
% 0.44/0.96  
% 0.44/0.96  subsumption: (44) {G0,W3,D2,L1,V0,M1} I { aSubsetOf0( xS, xT ) }.
% 0.44/0.96  parent0: (3031) {G0,W3,D2,L1,V0,M1}  { aSubsetOf0( xS, xT ) }.
% 0.44/0.96  substitution0:
% 0.44/0.96  end
% 0.44/0.96  permutation0:
% 0.44/0.96     0 ==> 0
% 0.44/0.96  end
% 0.44/0.96  
% 0.44/0.96  subsumption: (45) {G0,W4,D2,L1,V0,M1} I { aSupremumOfIn0( xu, xS, xT ) }.
% 0.44/0.96  parent0: (3032) {G0,W4,D2,L1,V0,M1}  { aSupremumOfIn0( xu, xS, xT ) }.
% 0.44/0.96  substitution0:
% 0.44/0.96  end
% 0.44/0.96  permutation0:
% 0.44/0.96     0 ==> 0
% 0.44/0.96  end
% 0.44/0.96  
% 0.44/0.96  subsumption: (46) {G0,W4,D2,L1,V0,M1} I { aSupremumOfIn0( xv, xS, xT ) }.
% 0.44/0.96  parent0: (3033) {G0,W4,D2,L1,V0,M1}  { aSupremumOfIn0( xv, xS, xT ) }.
% 0.44/0.96  substitution0:
% 0.44/0.96  end
% 0.44/0.96  permutation0:
% 0.44/0.96     0 ==> 0
% 0.44/0.96  end
% 0.44/0.96  
% 0.44/0.96  eqswap: (3139) {G0,W3,D2,L1,V0,M1}  { ! xv = xu }.
% 0.44/0.96  parent0[0]: (3034) {G0,W3,D2,L1,V0,M1}  { ! xu = xv }.
% 0.44/0.96  substitution0:
% 0.44/0.96  end
% 0.44/0.96  
% 0.44/0.96  subsumption: (47) {G0,W3,D2,L1,V0,M1} I { ! xv ==> xu }.
% 0.44/0.96  parent0: (3139) {G0,W3,D2,L1,V0,M1}  { ! xv = xu }.
% 0.44/0.96  substitution0:
% 0.44/0.96  end
% 0.44/0.96  permutation0:
% 0.44/0.96     0 ==> 0
% 0.44/0.96  end
% 0.44/0.96  
% 0.44/0.96  resolution: (3140) {G1,W5,D2,L2,V1,M2}  { ! aElementOf0( X, xT ), aElement0
% 0.44/0.96    ( X ) }.
% 0.44/0.96  parent0[0]: (1) {G0,W7,D2,L3,V2,M3} I { ! aSet0( X ), ! aElementOf0( Y, X )
% 0.44/0.96    , aElement0( Y ) }.
% 0.44/0.96  parent1[0]: (43) {G0,W2,D2,L1,V0,M1} I { aSet0( xT ) }.
% 0.44/0.96  substitution0:
% 0.44/0.96     X := xT
% 0.44/0.96     Y := X
% 0.44/0.96  end
% 0.44/0.96  substitution1:
% 0.44/0.96  end
% 0.44/0.96  
% 0.44/0.96  subsumption: (49) {G1,W5,D2,L2,V1,M2} R(1,43) { ! aElementOf0( X, xT ), 
% 0.44/0.96    aElement0( X ) }.
% 0.44/0.96  parent0: (3140) {G1,W5,D2,L2,V1,M2}  { ! aElementOf0( X, xT ), aElement0( X
% 0.44/0.96     ) }.
% 0.44/0.96  substitution0:
% 0.44/0.96     X := X
% 0.44/0.96  end
% 0.44/0.96  permutation0:
% 0.44/0.96     0 ==> 0
% 0.44/0.96     1 ==> 1
% 0.44/0.96  end
% 0.44/0.96  
% 0.44/0.96  resolution: (3141) {G1,W8,D2,L3,V0,M3}  { ! aSet0( xT ), ! aSubsetOf0( xS, 
% 0.44/0.96    xT ), aElementOf0( xu, xT ) }.
% 0.44/0.96  parent0[2]: (34) {G0,W12,D2,L4,V3,M4} I { ! aSet0( X ), ! aSubsetOf0( Y, X
% 0.44/0.96     ), ! aSupremumOfIn0( Z, Y, X ), aElementOf0( Z, X ) }.
% 0.44/0.96  parent1[0]: (45) {G0,W4,D2,L1,V0,M1} I { aSupremumOfIn0( xu, xS, xT ) }.
% 0.44/0.96  substitution0:
% 0.44/0.96     X := xT
% 0.44/0.96     Y := xS
% 0.44/0.96     Z := xu
% 0.44/0.96  end
% 0.44/0.96  substitution1:
% 0.44/0.96  end
% 0.44/0.96  
% 0.44/0.96  resolution: (3142) {G1,W6,D2,L2,V0,M2}  { ! aSubsetOf0( xS, xT ), 
% 0.44/0.96    aElementOf0( xu, xT ) }.
% 0.44/0.96  parent0[0]: (3141) {G1,W8,D2,L3,V0,M3}  { ! aSet0( xT ), ! aSubsetOf0( xS, 
% 0.44/0.96    xT ), aElementOf0( xu, xT ) }.
% 0.44/0.96  parent1[0]: (43) {G0,W2,D2,L1,V0,M1} I { aSet0( xT ) }.
% 0.44/0.96  substitution0:
% 0.44/0.96  end
% 0.44/0.96  substitution1:
% 0.44/0.96  end
% 0.44/0.96  
% 0.44/0.96  subsumption: (867) {G1,W6,D2,L2,V0,M2} R(34,45);r(43) { ! aSubsetOf0( xS, 
% 0.44/0.96    xT ), aElementOf0( xu, xT ) }.
% 0.44/0.96  parent0: (3142) {G1,W6,D2,L2,V0,M2}  { ! aSubsetOf0( xS, xT ), aElementOf0
% 0.44/0.96    ( xu, xT ) }.
% 0.44/0.96  substitution0:
% 0.44/0.96  end
% 0.44/0.96  permutation0:
% 0.44/0.96     0 ==> 0
% 0.44/0.96     1 ==> 1
% 0.44/0.96  end
% 0.44/0.96  
% 0.44/0.96  resolution: (3143) {G1,W8,D2,L3,V0,M3}  { ! aSet0( xT ), ! aSubsetOf0( xS, 
% 0.44/0.96    xT ), aElementOf0( xv, xT ) }.
% 0.44/0.96  parent0[2]: (34) {G0,W12,D2,L4,V3,M4} I { ! aSet0( X ), ! aSubsetOf0( Y, X
% 0.44/0.96     ), ! aSupremumOfIn0( Z, Y, X ), aElementOf0( Z, X ) }.
% 0.44/0.96  parent1[0]: (46) {G0,W4,D2,L1,V0,M1} I { aSupremumOfIn0( xv, xS, xT ) }.
% 0.44/0.96  substitution0:
% 0.44/0.96     X := xT
% 0.44/0.96     Y := xS
% 0.44/0.96     Z := xv
% 0.44/0.96  end
% 0.44/0.96  substitution1:
% 0.44/0.96  end
% 0.44/0.96  
% 0.44/0.96  resolution: (3144) {G1,W6,D2,L2,V0,M2}  { ! aSubsetOf0( xS, xT ), 
% 0.44/0.96    aElementOf0( xv, xT ) }.
% 0.44/0.96  parent0[0]: (3143) {G1,W8,D2,L3,V0,M3}  { ! aSet0( xT ), ! aSubsetOf0( xS, 
% 0.44/0.96    xT ), aElementOf0( xv, xT ) }.
% 0.44/0.96  parent1[0]: (43) {G0,W2,D2,L1,V0,M1} I { aSet0( xT ) }.
% 0.44/0.96  substitution0:
% 0.44/0.96  end
% 0.44/0.96  substitution1:
% 0.44/0.96  end
% 0.44/0.96  
% 0.44/0.96  subsumption: (869) {G1,W6,D2,L2,V0,M2} R(34,46);r(43) { ! aSubsetOf0( xS, 
% 0.44/0.96    xT ), aElementOf0( xv, xT ) }.
% 0.44/0.96  parent0: (3144) {G1,W6,D2,L2,V0,M2}  { ! aSubsetOf0( xS, xT ), aElementOf0
% 0.44/0.96    ( xv, xT ) }.
% 0.44/0.96  substitution0:
% 0.44/0.96  end
% 0.44/0.96  permutation0:
% 0.44/0.96     0 ==> 0
% 0.44/0.96     1 ==> 1
% 0.44/0.96  end
% 0.44/0.96  
% 0.44/0.96  resolution: (3145) {G1,W3,D2,L1,V0,M1}  { aElementOf0( xu, xT ) }.
% 0.44/0.96  parent0[0]: (867) {G1,W6,D2,L2,V0,M2} R(34,45);r(43) { ! aSubsetOf0( xS, xT
% 0.44/0.96     ), aElementOf0( xu, xT ) }.
% 0.44/0.96  parent1[0]: (44) {G0,W3,D2,L1,V0,M1} I { aSubsetOf0( xS, xT ) }.
% 0.44/0.96  substitution0:
% 0.44/0.96  end
% 0.44/0.96  substitution1:
% 0.44/0.96  end
% 0.44/0.96  
% 0.44/0.96  subsumption: (872) {G2,W3,D2,L1,V0,M1} S(867);r(44) { aElementOf0( xu, xT )
% 0.44/0.96     }.
% 0.44/0.96  parent0: (3145) {G1,W3,D2,L1,V0,M1}  { aElementOf0( xu, xT ) }.
% 0.44/0.96  substitution0:
% 0.44/0.96  end
% 0.44/0.96  permutation0:
% 0.44/0.96     0 ==> 0
% 0.44/0.96  end
% 0.44/0.96  
% 0.44/0.96  resolution: (3146) {G2,W2,D2,L1,V0,M1}  { aElement0( xu ) }.
% 0.44/0.96  parent0[0]: (49) {G1,W5,D2,L2,V1,M2} R(1,43) { ! aElementOf0( X, xT ), 
% 0.44/0.96    aElement0( X ) }.
% 0.44/0.96  parent1[0]: (872) {G2,W3,D2,L1,V0,M1} S(867);r(44) { aElementOf0( xu, xT )
% 0.44/0.96     }.
% 0.44/0.96  substitution0:
% 0.44/0.96     X := xu
% 0.44/0.96  end
% 0.44/0.96  substitution1:
% 0.44/0.96  end
% 0.44/0.96  
% 0.44/0.96  subsumption: (882) {G3,W2,D2,L1,V0,M1} R(872,49) { aElement0( xu ) }.
% 0.44/0.96  parent0: (3146) {G2,W2,D2,L1,V0,M1}  { aElement0( xu ) }.
% 0.44/0.96  substitution0:
% 0.44/0.96  end
% 0.44/0.96  permutation0:
% 0.44/0.96     0 ==> 0
% 0.44/0.96  end
% 0.44/0.96  
% 0.44/0.96  resolution: (3147) {G1,W9,D2,L3,V0,M3}  { ! aSet0( xT ), ! aSubsetOf0( xS, 
% 0.44/0.96    xT ), alpha5( xT, xS, xu ) }.
% 0.44/0.96  parent0[2]: (35) {G0,W13,D2,L4,V3,M4} I { ! aSet0( X ), ! aSubsetOf0( Y, X
% 0.44/0.96     ), ! aSupremumOfIn0( Z, Y, X ), alpha5( X, Y, Z ) }.
% 0.44/0.96  parent1[0]: (45) {G0,W4,D2,L1,V0,M1} I { aSupremumOfIn0( xu, xS, xT ) }.
% 0.44/0.96  substitution0:
% 0.44/0.96     X := xT
% 0.44/0.96     Y := xS
% 0.44/0.96     Z := xu
% 0.44/0.96  end
% 0.44/0.96  substitution1:
% 0.44/0.96  end
% 0.44/0.96  
% 0.44/0.96  resolution: (3148) {G1,W7,D2,L2,V0,M2}  { ! aSubsetOf0( xS, xT ), alpha5( 
% 0.44/0.96    xT, xS, xu ) }.
% 0.44/0.96  parent0[0]: (3147) {G1,W9,D2,L3,V0,M3}  { ! aSet0( xT ), ! aSubsetOf0( xS, 
% 0.44/0.96    xT ), alpha5( xT, xS, xu ) }.
% 0.44/0.96  parent1[0]: (43) {G0,W2,D2,L1,V0,M1} I { aSet0( xT ) }.
% 0.44/0.96  substitution0:
% 0.44/0.96  end
% 0.44/0.96  substitution1:
% 0.44/0.96  end
% 0.44/0.96  
% 0.44/0.96  subsumption: (901) {G1,W7,D2,L2,V0,M2} R(35,45);r(43) { ! aSubsetOf0( xS, 
% 0.44/0.96    xT ), alpha5( xT, xS, xu ) }.
% 0.44/0.96  parent0: (3148) {G1,W7,D2,L2,V0,M2}  { ! aSubsetOf0( xS, xT ), alpha5( xT, 
% 0.44/0.96    xS, xu ) }.
% 0.44/0.96  substitution0:
% 0.44/0.96  end
% 0.44/0.96  permutation0:
% 0.44/0.96     0 ==> 0
% 0.44/0.96     1 ==> 1
% 0.44/0.96  end
% 0.44/0.96  
% 0.44/0.96  resolution: (3149) {G1,W9,D2,L3,V0,M3}  { ! aSet0( xT ), ! aSubsetOf0( xS, 
% 0.44/0.96    xT ), alpha5( xT, xS, xv ) }.
% 0.44/0.96  parent0[2]: (35) {G0,W13,D2,L4,V3,M4} I { ! aSet0( X ), ! aSubsetOf0( Y, X
% 0.44/0.96     ), ! aSupremumOfIn0( Z, Y, X ), alpha5( X, Y, Z ) }.
% 0.44/0.96  parent1[0]: (46) {G0,W4,D2,L1,V0,M1} I { aSupremumOfIn0( xv, xS, xT ) }.
% 0.44/0.96  substitution0:
% 0.44/0.96     X := xT
% 0.44/0.96     Y := xS
% 0.44/0.96     Z := xv
% 0.44/0.96  end
% 0.44/0.96  substitution1:
% 0.44/0.96  end
% 0.44/0.96  
% 0.44/0.96  resolution: (3150) {G1,W7,D2,L2,V0,M2}  { ! aSubsetOf0( xS, xT ), alpha5( 
% 0.44/0.96    xT, xS, xv ) }.
% 0.44/0.96  parent0[0]: (3149) {G1,W9,D2,L3,V0,M3}  { ! aSet0( xT ), ! aSubsetOf0( xS, 
% 0.44/0.97    xT ), alpha5( xT, xS, xv ) }.
% 0.44/0.97  parent1[0]: (43) {G0,W2,D2,L1,V0,M1} I { aSet0( xT ) }.
% 0.44/0.97  substitution0:
% 0.44/0.97  end
% 0.44/0.97  substitution1:
% 0.44/0.97  end
% 0.44/0.97  
% 0.44/0.97  subsumption: (902) {G1,W7,D2,L2,V0,M2} R(35,46);r(43) { ! aSubsetOf0( xS, 
% 0.44/0.97    xT ), alpha5( xT, xS, xv ) }.
% 0.44/0.97  parent0: (3150) {G1,W7,D2,L2,V0,M2}  { ! aSubsetOf0( xS, xT ), alpha5( xT, 
% 0.44/0.97    xS, xv ) }.
% 0.44/0.97  substitution0:
% 0.44/0.97  end
% 0.44/0.97  permutation0:
% 0.44/0.97     0 ==> 0
% 0.44/0.97     1 ==> 1
% 0.44/0.97  end
% 0.44/0.97  
% 0.44/0.97  resolution: (3151) {G1,W3,D2,L1,V0,M1}  { aElementOf0( xv, xT ) }.
% 0.44/0.97  parent0[0]: (869) {G1,W6,D2,L2,V0,M2} R(34,46);r(43) { ! aSubsetOf0( xS, xT
% 0.44/0.97     ), aElementOf0( xv, xT ) }.
% 0.44/0.97  parent1[0]: (44) {G0,W3,D2,L1,V0,M1} I { aSubsetOf0( xS, xT ) }.
% 0.44/0.97  substitution0:
% 0.44/0.97  end
% 0.44/0.97  substitution1:
% 0.44/0.97  end
% 0.44/0.97  
% 0.44/0.97  subsumption: (1034) {G2,W3,D2,L1,V0,M1} S(869);r(44) { aElementOf0( xv, xT
% 0.44/0.97     ) }.
% 0.44/0.97  parent0: (3151) {G1,W3,D2,L1,V0,M1}  { aElementOf0( xv, xT ) }.
% 0.44/0.97  substitution0:
% 0.44/0.97  end
% 0.44/0.97  permutation0:
% 0.44/0.97     0 ==> 0
% 0.44/0.97  end
% 0.44/0.97  
% 0.44/0.97  resolution: (3152) {G2,W2,D2,L1,V0,M1}  { aElement0( xv ) }.
% 0.44/0.97  parent0[0]: (49) {G1,W5,D2,L2,V1,M2} R(1,43) { ! aElementOf0( X, xT ), 
% 0.44/0.97    aElement0( X ) }.
% 0.44/0.97  parent1[0]: (1034) {G2,W3,D2,L1,V0,M1} S(869);r(44) { aElementOf0( xv, xT )
% 0.44/0.97     }.
% 0.44/0.97  substitution0:
% 0.44/0.97     X := xv
% 0.44/0.97  end
% 0.44/0.97  substitution1:
% 0.44/0.97  end
% 0.44/0.97  
% 0.44/0.97  subsumption: (1041) {G3,W2,D2,L1,V0,M1} R(1034,49) { aElement0( xv ) }.
% 0.44/0.97  parent0: (3152) {G2,W2,D2,L1,V0,M1}  { aElement0( xv ) }.
% 0.44/0.97  substitution0:
% 0.44/0.97  end
% 0.44/0.97  permutation0:
% 0.44/0.97     0 ==> 0
% 0.44/0.97  end
% 0.44/0.97  
% 0.44/0.97  resolution: (3153) {G1,W4,D2,L1,V0,M1}  { alpha5( xT, xS, xu ) }.
% 0.44/0.97  parent0[0]: (901) {G1,W7,D2,L2,V0,M2} R(35,45);r(43) { ! aSubsetOf0( xS, xT
% 0.44/0.97     ), alpha5( xT, xS, xu ) }.
% 0.44/0.97  parent1[0]: (44) {G0,W3,D2,L1,V0,M1} I { aSubsetOf0( xS, xT ) }.
% 0.44/0.97  substitution0:
% 0.44/0.97  end
% 0.44/0.97  substitution1:
% 0.44/0.97  end
% 0.44/0.97  
% 0.44/0.97  subsumption: (1322) {G2,W4,D2,L1,V0,M1} S(901);r(44) { alpha5( xT, xS, xu )
% 0.44/0.97     }.
% 0.44/0.97  parent0: (3153) {G1,W4,D2,L1,V0,M1}  { alpha5( xT, xS, xu ) }.
% 0.44/0.97  substitution0:
% 0.44/0.97  end
% 0.44/0.97  permutation0:
% 0.44/0.97     0 ==> 0
% 0.44/0.97  end
% 0.44/0.97  
% 0.44/0.97  resolution: (3154) {G1,W4,D2,L1,V0,M1}  { alpha7( xT, xS, xu ) }.
% 0.44/0.97  parent0[0]: (38) {G0,W8,D2,L2,V3,M2} I { ! alpha5( X, Y, Z ), alpha7( X, Y
% 0.44/0.97    , Z ) }.
% 0.44/0.97  parent1[0]: (1322) {G2,W4,D2,L1,V0,M1} S(901);r(44) { alpha5( xT, xS, xu )
% 0.44/0.97     }.
% 0.44/0.97  substitution0:
% 0.44/0.97     X := xT
% 0.44/0.97     Y := xS
% 0.44/0.97     Z := xu
% 0.44/0.97  end
% 0.44/0.97  substitution1:
% 0.44/0.97  end
% 0.44/0.97  
% 0.44/0.97  subsumption: (1324) {G3,W4,D2,L1,V0,M1} R(1322,38) { alpha7( xT, xS, xu )
% 0.44/0.97     }.
% 0.44/0.97  parent0: (3154) {G1,W4,D2,L1,V0,M1}  { alpha7( xT, xS, xu ) }.
% 0.44/0.97  substitution0:
% 0.44/0.97  end
% 0.44/0.97  permutation0:
% 0.44/0.97     0 ==> 0
% 0.44/0.97  end
% 0.44/0.97  
% 0.44/0.97  resolution: (3155) {G1,W4,D2,L1,V0,M1}  { aUpperBoundOfIn0( xu, xS, xT )
% 0.44/0.97     }.
% 0.44/0.97  parent0[0]: (37) {G0,W8,D2,L2,V3,M2} I { ! alpha5( X, Y, Z ), 
% 0.44/0.97    aUpperBoundOfIn0( Z, Y, X ) }.
% 0.44/0.97  parent1[0]: (1322) {G2,W4,D2,L1,V0,M1} S(901);r(44) { alpha5( xT, xS, xu )
% 0.44/0.97     }.
% 0.44/0.97  substitution0:
% 0.44/0.97     X := xT
% 0.44/0.97     Y := xS
% 0.44/0.97     Z := xu
% 0.44/0.97  end
% 0.44/0.97  substitution1:
% 0.44/0.97  end
% 0.44/0.97  
% 0.44/0.97  subsumption: (1325) {G3,W4,D2,L1,V0,M1} R(1322,37) { aUpperBoundOfIn0( xu, 
% 0.44/0.97    xS, xT ) }.
% 0.44/0.97  parent0: (3155) {G1,W4,D2,L1,V0,M1}  { aUpperBoundOfIn0( xu, xS, xT ) }.
% 0.44/0.97  substitution0:
% 0.44/0.97  end
% 0.44/0.97  permutation0:
% 0.44/0.97     0 ==> 0
% 0.44/0.97  end
% 0.44/0.97  
% 0.44/0.97  resolution: (3156) {G1,W7,D2,L2,V1,M2}  { ! aUpperBoundOfIn0( X, xS, xT ), 
% 0.44/0.97    sdtlseqdt0( xu, X ) }.
% 0.44/0.97  parent0[0]: (40) {G0,W11,D2,L3,V4,M3} I { ! alpha7( X, Y, Z ), ! 
% 0.44/0.97    aUpperBoundOfIn0( T, Y, X ), sdtlseqdt0( Z, T ) }.
% 0.44/0.97  parent1[0]: (1324) {G3,W4,D2,L1,V0,M1} R(1322,38) { alpha7( xT, xS, xu )
% 0.44/0.97     }.
% 0.44/0.97  substitution0:
% 0.44/0.97     X := xT
% 0.44/0.97     Y := xS
% 0.44/0.97     Z := xu
% 0.44/0.97     T := X
% 0.44/0.97  end
% 0.44/0.97  substitution1:
% 0.44/0.97  end
% 0.44/0.97  
% 0.44/0.97  subsumption: (1328) {G4,W7,D2,L2,V1,M2} R(1324,40) { ! aUpperBoundOfIn0( X
% 0.44/0.97    , xS, xT ), sdtlseqdt0( xu, X ) }.
% 0.44/0.97  parent0: (3156) {G1,W7,D2,L2,V1,M2}  { ! aUpperBoundOfIn0( X, xS, xT ), 
% 0.44/0.97    sdtlseqdt0( xu, X ) }.
% 0.44/0.97  substitution0:
% 0.44/0.97     X := X
% 0.44/0.97  end
% 0.44/0.97  permutation0:
% 0.44/0.97     0 ==> 0
% 0.44/0.97     1 ==> 1
% 0.44/0.97  end
% 0.44/0.97  
% 0.44/0.97  resolution: (3157) {G1,W7,D2,L2,V1,M2}  { ! alpha7( xT, xS, X ), sdtlseqdt0
% 0.44/0.97    ( X, xu ) }.
% 0.44/0.97  parent0[1]: (40) {G0,W11,D2,L3,V4,M3} I { ! alpha7( X, Y, Z ), ! 
% 0.44/0.97    aUpperBoundOfIn0( T, Y, X ), sdtlseqdt0( Z, T ) }.
% 0.44/0.97  parent1[0]: (1325) {G3,W4,D2,L1,V0,M1} R(1322,37) { aUpperBoundOfIn0( xu, 
% 0.44/0.97    xS, xT ) }.
% 0.44/0.97  substitution0:
% 0.44/0.97     X := xT
% 0.44/0.97     Y := xS
% 0.44/0.97     Z := X
% 0.44/0.97     T := xu
% 0.44/0.97  end
% 0.44/0.97  substitution1:
% 0.44/0.97  end
% 0.44/0.97  
% 0.44/0.97  subsumption: (1338) {G4,W7,D2,L2,V1,M2} R(1325,40) { ! alpha7( xT, xS, X )
% 0.44/0.97    , sdtlseqdt0( X, xu ) }.
% 0.44/0.97  parent0: (3157) {G1,W7,D2,L2,V1,M2}  { ! alpha7( xT, xS, X ), sdtlseqdt0( X
% 0.44/0.97    , xu ) }.
% 0.44/0.97  substitution0:
% 0.44/0.97     X := X
% 0.44/0.97  end
% 0.44/0.97  permutation0:
% 0.44/0.97     0 ==> 0
% 0.44/0.97     1 ==> 1
% 0.44/0.97  end
% 0.44/0.97  
% 0.44/0.97  resolution: (3158) {G1,W7,D2,L2,V1,M2}  { sdtlseqdt0( X, xu ), ! alpha5( xT
% 0.44/0.97    , xS, X ) }.
% 0.44/0.97  parent0[0]: (1338) {G4,W7,D2,L2,V1,M2} R(1325,40) { ! alpha7( xT, xS, X ), 
% 0.44/0.97    sdtlseqdt0( X, xu ) }.
% 0.44/0.97  parent1[1]: (38) {G0,W8,D2,L2,V3,M2} I { ! alpha5( X, Y, Z ), alpha7( X, Y
% 0.44/0.97    , Z ) }.
% 0.44/0.97  substitution0:
% 0.44/0.97     X := X
% 0.44/0.97  end
% 0.44/0.97  substitution1:
% 0.44/0.97     X := xT
% 0.44/0.97     Y := xS
% 0.44/0.97     Z := X
% 0.44/0.97  end
% 0.44/0.97  
% 0.44/0.97  subsumption: (1455) {G5,W7,D2,L2,V1,M2} R(1338,38) { sdtlseqdt0( X, xu ), !
% 0.44/0.97     alpha5( xT, xS, X ) }.
% 0.44/0.97  parent0: (3158) {G1,W7,D2,L2,V1,M2}  { sdtlseqdt0( X, xu ), ! alpha5( xT, 
% 0.44/0.97    xS, X ) }.
% 0.44/0.97  substitution0:
% 0.44/0.97     X := X
% 0.44/0.97  end
% 0.44/0.97  permutation0:
% 0.44/0.97     0 ==> 0
% 0.44/0.97     1 ==> 1
% 0.44/0.97  end
% 0.44/0.97  
% 0.44/0.97  resolution: (3159) {G1,W7,D2,L2,V1,M2}  { sdtlseqdt0( xu, X ), ! alpha5( xT
% 0.44/0.97    , xS, X ) }.
% 0.44/0.97  parent0[0]: (1328) {G4,W7,D2,L2,V1,M2} R(1324,40) { ! aUpperBoundOfIn0( X, 
% 0.44/0.97    xS, xT ), sdtlseqdt0( xu, X ) }.
% 0.44/0.97  parent1[1]: (37) {G0,W8,D2,L2,V3,M2} I { ! alpha5( X, Y, Z ), 
% 0.44/0.97    aUpperBoundOfIn0( Z, Y, X ) }.
% 0.44/0.97  substitution0:
% 0.44/0.97     X := X
% 0.44/0.97  end
% 0.44/0.97  substitution1:
% 0.44/0.97     X := xT
% 0.44/0.97     Y := xS
% 0.44/0.97     Z := X
% 0.44/0.97  end
% 0.44/0.97  
% 0.44/0.97  subsumption: (1472) {G5,W7,D2,L2,V1,M2} R(1328,37) { sdtlseqdt0( xu, X ), !
% 0.44/0.97     alpha5( xT, xS, X ) }.
% 0.44/0.97  parent0: (3159) {G1,W7,D2,L2,V1,M2}  { sdtlseqdt0( xu, X ), ! alpha5( xT, 
% 0.44/0.97    xS, X ) }.
% 0.44/0.97  substitution0:
% 0.44/0.97     X := X
% 0.44/0.97  end
% 0.44/0.97  permutation0:
% 0.44/0.97     0 ==> 0
% 0.44/0.97     1 ==> 1
% 0.44/0.97  end
% 0.44/0.97  
% 0.44/0.97  resolution: (3160) {G1,W4,D2,L1,V0,M1}  { alpha5( xT, xS, xv ) }.
% 0.44/0.97  parent0[0]: (902) {G1,W7,D2,L2,V0,M2} R(35,46);r(43) { ! aSubsetOf0( xS, xT
% 0.44/0.97     ), alpha5( xT, xS, xv ) }.
% 0.44/0.97  parent1[0]: (44) {G0,W3,D2,L1,V0,M1} I { aSubsetOf0( xS, xT ) }.
% 0.44/0.97  substitution0:
% 0.44/0.97  end
% 0.44/0.97  substitution1:
% 0.44/0.97  end
% 0.44/0.97  
% 0.44/0.97  subsumption: (1488) {G2,W4,D2,L1,V0,M1} S(902);r(44) { alpha5( xT, xS, xv )
% 0.44/0.97     }.
% 0.44/0.97  parent0: (3160) {G1,W4,D2,L1,V0,M1}  { alpha5( xT, xS, xv ) }.
% 0.44/0.97  substitution0:
% 0.44/0.97  end
% 0.44/0.97  permutation0:
% 0.44/0.97     0 ==> 0
% 0.44/0.97  end
% 0.44/0.97  
% 0.44/0.97  resolution: (3161) {G3,W3,D2,L1,V0,M1}  { sdtlseqdt0( xu, xv ) }.
% 0.44/0.97  parent0[1]: (1472) {G5,W7,D2,L2,V1,M2} R(1328,37) { sdtlseqdt0( xu, X ), ! 
% 0.44/0.97    alpha5( xT, xS, X ) }.
% 0.44/0.97  parent1[0]: (1488) {G2,W4,D2,L1,V0,M1} S(902);r(44) { alpha5( xT, xS, xv )
% 0.44/0.97     }.
% 0.44/0.97  substitution0:
% 0.44/0.97     X := xv
% 0.44/0.97  end
% 0.44/0.97  substitution1:
% 0.44/0.97  end
% 0.44/0.97  
% 0.44/0.97  subsumption: (1508) {G6,W3,D2,L1,V0,M1} R(1488,1472) { sdtlseqdt0( xu, xv )
% 0.44/0.97     }.
% 0.44/0.97  parent0: (3161) {G3,W3,D2,L1,V0,M1}  { sdtlseqdt0( xu, xv ) }.
% 0.44/0.97  substitution0:
% 0.44/0.97  end
% 0.44/0.97  permutation0:
% 0.44/0.97     0 ==> 0
% 0.44/0.97  end
% 0.44/0.97  
% 0.44/0.97  resolution: (3162) {G3,W3,D2,L1,V0,M1}  { sdtlseqdt0( xv, xu ) }.
% 0.44/0.97  parent0[1]: (1455) {G5,W7,D2,L2,V1,M2} R(1338,38) { sdtlseqdt0( X, xu ), ! 
% 0.44/0.97    alpha5( xT, xS, X ) }.
% 0.44/0.97  parent1[0]: (1488) {G2,W4,D2,L1,V0,M1} S(902);r(44) { alpha5( xT, xS, xv )
% 0.44/0.97     }.
% 0.44/0.97  substitution0:
% 0.44/0.97     X := xv
% 0.44/0.97  end
% 0.44/0.97  substitution1:
% 0.44/0.97  end
% 0.44/0.97  
% 0.44/0.97  subsumption: (1509) {G6,W3,D2,L1,V0,M1} R(1488,1455) { sdtlseqdt0( xv, xu )
% 0.44/0.97     }.
% 0.44/0.97  parent0: (3162) {G3,W3,D2,L1,V0,M1}  { sdtlseqdt0( xv, xu ) }.
% 0.44/0.97  substitution0:
% 0.44/0.97  end
% 0.44/0.97  permutation0:
% 0.44/0.97     0 ==> 0
% 0.44/0.97  end
% 0.44/0.97  
% 0.44/0.97  resolution: (3163) {G1,W10,D2,L4,V0,M4}  { ! aElement0( xv ), ! aElement0( 
% 0.44/0.97    xu ), ! sdtlseqdt0( xu, xv ), xv = xu }.
% 0.44/0.97  parent0[2]: (11) {G0,W13,D2,L5,V2,M5} I { ! aElement0( X ), ! aElement0( Y
% 0.44/0.97     ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 0.44/0.97  parent1[0]: (1509) {G6,W3,D2,L1,V0,M1} R(1488,1455) { sdtlseqdt0( xv, xu )
% 0.44/0.97     }.
% 0.44/0.97  substitution0:
% 0.44/0.97     X := xv
% 0.44/0.97     Y := xu
% 0.44/0.97  end
% 0.44/0.97  substitution1:
% 0.44/0.97  end
% 0.44/0.97  
% 0.44/0.97  resolution: (3165) {G2,W8,D2,L3,V0,M3}  { ! aElement0( xu ), ! sdtlseqdt0( 
% 0.44/0.97    xu, xv ), xv = xu }.
% 0.44/0.97  parent0[0]: (3163) {G1,W10,D2,L4,V0,M4}  { ! aElement0( xv ), ! aElement0( 
% 0.44/0.97    xu ), ! sdtlseqdt0( xu, xv ), xv = xu }.
% 0.44/0.97  parent1[0]: (1041) {G3,W2,D2,L1,V0,M1} R(1034,49) { aElement0( xv ) }.
% 0.44/0.97  substitution0:
% 0.44/0.97  end
% 0.44/0.97  substitution1:
% 0.44/0.97  end
% 0.44/0.97  
% 0.44/0.97  subsumption: (1520) {G7,W8,D2,L3,V0,M3} R(1509,11);r(1041) { ! aElement0( 
% 0.44/0.97    xu ), ! sdtlseqdt0( xu, xv ), xv ==> xu }.
% 0.44/0.97  parent0: (3165) {G2,W8,D2,L3,V0,M3}  { ! aElement0( xu ), ! sdtlseqdt0( xu
% 0.44/0.97    , xv ), xv = xu }.
% 0.44/0.97  substitution0:
% 0.44/0.97  end
% 0.44/0.97  permutation0:
% 0.44/0.97     0 ==> 0
% 0.44/0.97     1 ==> 1
% 0.44/0.97     2 ==> 2
% 0.44/0.97  end
% 0.44/0.97  
% 0.44/0.97  resolution: (3169) {G4,W6,D2,L2,V0,M2}  { ! sdtlseqdt0( xu, xv ), xv ==> xu
% 0.44/0.97     }.
% 0.44/0.97  parent0[0]: (1520) {G7,W8,D2,L3,V0,M3} R(1509,11);r(1041) { ! aElement0( xu
% 0.44/0.97     ), ! sdtlseqdt0( xu, xv ), xv ==> xu }.
% 0.44/0.97  parent1[0]: (882) {G3,W2,D2,L1,V0,M1} R(872,49) { aElement0( xu ) }.
% 0.44/0.97  substitution0:
% 0.44/0.97  end
% 0.44/0.97  substitution1:
% 0.44/0.97  end
% 0.44/0.97  
% 0.44/0.97  resolution: (3170) {G5,W3,D2,L1,V0,M1}  { xv ==> xu }.
% 0.44/0.97  parent0[0]: (3169) {G4,W6,D2,L2,V0,M2}  { ! sdtlseqdt0( xu, xv ), xv ==> xu
% 0.44/0.97     }.
% 0.44/0.97  parent1[0]: (1508) {G6,W3,D2,L1,V0,M1} R(1488,1472) { sdtlseqdt0( xu, xv )
% 0.44/0.97     }.
% 0.44/0.97  substitution0:
% 0.44/0.97  end
% 0.44/0.97  substitution1:
% 0.44/0.97  end
% 0.44/0.97  
% 0.44/0.97  resolution: (3171) {G1,W0,D0,L0,V0,M0}  {  }.
% 0.44/0.97  parent0[0]: (47) {G0,W3,D2,L1,V0,M1} I { ! xv ==> xu }.
% 0.44/0.97  parent1[0]: (3170) {G5,W3,D2,L1,V0,M1}  { xv ==> xu }.
% 0.44/0.97  substitution0:
% 0.44/0.97  end
% 0.44/0.97  substitution1:
% 0.44/0.97  end
% 0.44/0.97  
% 0.44/0.97  subsumption: (2983) {G8,W0,D0,L0,V0,M0} S(1520);r(882);r(1508);r(47) {  }.
% 0.44/0.97  parent0: (3171) {G1,W0,D0,L0,V0,M0}  {  }.
% 0.44/0.97  substitution0:
% 0.44/0.97  end
% 0.44/0.97  permutation0:
% 0.44/0.97  end
% 0.44/0.97  
% 0.44/0.97  Proof check complete!
% 0.44/0.97  
% 0.44/0.97  Memory use:
% 0.44/0.97  
% 0.44/0.97  space for terms:        41703
% 0.44/0.97  space for clauses:      116695
% 0.44/0.97  
% 0.44/0.97  
% 0.44/0.97  clauses generated:      11757
% 0.44/0.97  clauses kept:           2984
% 0.44/0.97  clauses selected:       438
% 0.44/0.97  clauses deleted:        84
% 0.44/0.97  clauses inuse deleted:  43
% 0.44/0.97  
% 0.44/0.97  subsentry:          17902
% 0.44/0.97  literals s-matched: 13799
% 0.44/0.97  literals matched:   11356
% 0.44/0.97  full subsumption:   1487
% 0.44/0.97  
% 0.44/0.97  checksum:           1862778916
% 0.44/0.97  
% 0.44/0.97  
% 0.44/0.97  Bliksem ended
%------------------------------------------------------------------------------