TSTP Solution File: SET813+4 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SET813+4 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n006.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 0s
% DateTime : Mon Jul 18 22:52:11 EDT 2022

% Result   : Theorem 0.88s 1.26s
% Output   : Refutation 0.88s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET813+4 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n006.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % DateTime : Sun Jul 10 16:33:05 EDT 2022
% 0.13/0.35  % 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  { ! subset( X, Y ), ! member( Z, X ), member( Z, Y ) }.
% 0.46/1.10  { ! member( skol1( Z, Y ), Y ), subset( X, Y ) }.
% 0.46/1.10  { member( skol1( X, Y ), X ), subset( X, Y ) }.
% 0.46/1.10  { ! equal_set( X, Y ), subset( X, Y ) }.
% 0.46/1.10  { ! equal_set( X, Y ), subset( Y, X ) }.
% 0.46/1.10  { ! subset( X, Y ), ! subset( Y, X ), equal_set( X, Y ) }.
% 0.46/1.10  { ! member( X, power_set( Y ) ), subset( X, Y ) }.
% 0.46/1.10  { ! subset( X, Y ), member( X, power_set( Y ) ) }.
% 0.46/1.10  { ! member( X, intersection( Y, Z ) ), member( X, Y ) }.
% 0.46/1.10  { ! member( X, intersection( Y, Z ) ), member( X, Z ) }.
% 0.46/1.10  { ! member( X, Y ), ! member( X, Z ), member( X, intersection( Y, Z ) ) }.
% 0.46/1.10  { ! member( X, union( Y, Z ) ), member( X, Y ), member( X, Z ) }.
% 0.46/1.10  { ! member( X, Y ), member( X, union( Y, Z ) ) }.
% 0.46/1.10  { ! member( X, Z ), member( X, union( Y, Z ) ) }.
% 0.46/1.10  { ! member( X, empty_set ) }.
% 0.46/1.10  { ! member( X, difference( Z, Y ) ), member( X, Z ) }.
% 0.46/1.10  { ! member( X, difference( Z, Y ) ), ! member( X, Y ) }.
% 0.46/1.10  { ! member( X, Z ), member( X, Y ), member( X, difference( Z, Y ) ) }.
% 0.46/1.10  { ! member( X, singleton( Y ) ), X = Y }.
% 0.46/1.10  { ! X = Y, member( X, singleton( Y ) ) }.
% 0.46/1.10  { ! member( X, unordered_pair( Y, Z ) ), X = Y, X = Z }.
% 0.46/1.10  { ! X = Y, member( X, unordered_pair( Y, Z ) ) }.
% 0.46/1.10  { ! X = Z, member( X, unordered_pair( Y, Z ) ) }.
% 0.46/1.10  { ! member( X, sum( Y ) ), member( skol2( Z, Y ), Y ) }.
% 0.46/1.10  { ! member( X, sum( Y ) ), member( X, skol2( X, Y ) ) }.
% 0.46/1.10  { ! member( Z, Y ), ! member( X, Z ), member( X, sum( Y ) ) }.
% 0.46/1.10  { ! member( X, product( Y ) ), ! member( Z, Y ), member( X, Z ) }.
% 0.46/1.10  { member( skol3( Z, Y ), Y ), member( X, product( Y ) ) }.
% 0.46/1.10  { ! member( X, skol3( X, Y ) ), member( X, product( Y ) ) }.
% 0.46/1.10  { ! member( X, on ), set( X ) }.
% 0.46/1.10  { ! member( X, on ), alpha1( X ) }.
% 0.46/1.10  { ! set( X ), ! alpha1( X ), member( X, on ) }.
% 0.46/1.10  { ! alpha1( X ), strict_well_order( member_predicate, X ) }.
% 0.46/1.10  { ! alpha1( X ), alpha5( X ) }.
% 0.46/1.10  { ! strict_well_order( member_predicate, X ), ! alpha5( X ), alpha1( X ) }
% 0.46/1.10    .
% 0.46/1.10  { ! alpha5( X ), ! member( Y, X ), subset( Y, X ) }.
% 0.46/1.10  { member( skol4( X ), X ), alpha5( X ) }.
% 0.46/1.10  { ! subset( skol4( X ), X ), alpha5( X ) }.
% 0.46/1.10  { ! strict_well_order( X, Y ), strict_order( X, Y ) }.
% 0.46/1.10  { ! strict_well_order( X, Y ), alpha2( X, Y ) }.
% 0.46/1.10  { ! strict_order( X, Y ), ! alpha2( X, Y ), strict_well_order( X, Y ) }.
% 0.46/1.10  { ! alpha2( X, Y ), ! alpha6( Y, Z ), least( skol5( X, Z ), X, Z ) }.
% 0.46/1.10  { alpha6( Y, skol11( Z, Y ) ), alpha2( X, Y ) }.
% 0.46/1.10  { ! least( Z, X, skol11( X, Y ) ), alpha2( X, Y ) }.
% 0.46/1.10  { ! alpha6( X, Y ), subset( Y, X ) }.
% 0.46/1.10  { ! alpha6( X, Y ), member( skol6( Y ), Y ) }.
% 0.46/1.10  { ! subset( Y, X ), ! member( Z, Y ), alpha6( X, Y ) }.
% 0.46/1.10  { ! least( Z, X, Y ), member( Z, Y ) }.
% 0.46/1.10  { ! least( Z, X, Y ), alpha3( X, Y, Z ) }.
% 0.46/1.10  { ! member( Z, Y ), ! alpha3( X, Y, Z ), least( Z, X, Y ) }.
% 0.46/1.10  { ! alpha3( X, Y, Z ), ! member( T, Y ), alpha7( X, Z, T ) }.
% 0.46/1.10  { member( skol7( T, Y, U ), Y ), alpha3( X, Y, Z ) }.
% 0.46/1.10  { ! alpha7( X, Z, skol7( X, Y, Z ) ), alpha3( X, Y, Z ) }.
% 0.46/1.10  { ! alpha7( X, Y, Z ), Y = Z, apply( X, Y, Z ) }.
% 0.46/1.10  { ! Y = Z, alpha7( X, Y, Z ) }.
% 0.46/1.10  { ! apply( X, Y, Z ), alpha7( X, Y, Z ) }.
% 0.46/1.10  { ! apply( member_predicate, X, Y ), member( X, Y ) }.
% 0.46/1.10  { ! member( X, Y ), apply( member_predicate, X, Y ) }.
% 0.46/1.10  { ! strict_order( X, Y ), alpha4( X, Y ) }.
% 0.46/1.10  { ! strict_order( X, Y ), alpha8( X, Y ) }.
% 0.46/1.10  { ! alpha4( X, Y ), ! alpha8( X, Y ), strict_order( X, Y ) }.
% 0.46/1.10  { ! alpha8( X, Y ), ! alpha12( Y, Z, T, U ), alpha13( X, Z, T, U ) }.
% 0.46/1.10  { alpha12( Y, skol8( X, Y ), skol12( X, Y ), skol14( X, Y ) ), alpha8( X, Y
% 0.46/1.10     ) }.
% 0.46/1.10  { ! alpha13( X, skol8( X, Y ), skol12( X, Y ), skol14( X, Y ) ), alpha8( X
% 0.46/1.10    , Y ) }.
% 0.46/1.10  { ! alpha13( X, Y, Z, T ), ! alpha14( X, Y, Z, T ), apply( X, Y, T ) }.
% 0.46/1.10  { alpha14( X, Y, Z, T ), alpha13( X, Y, Z, T ) }.
% 0.46/1.10  { ! apply( X, Y, T ), alpha13( X, Y, Z, T ) }.
% 0.46/1.10  { ! alpha14( X, Y, Z, T ), apply( X, Y, Z ) }.
% 0.46/1.10  { ! alpha14( X, Y, Z, T ), apply( X, Z, T ) }.
% 0.46/1.10  { ! apply( X, Y, Z ), ! apply( X, Z, T ), alpha14( X, Y, Z, T ) }.
% 0.46/1.10  { ! alpha12( X, Y, Z, T ), member( Y, X ) }.
% 0.46/1.10  { ! alpha12( X, Y, Z, T ), alpha10( X, Z, T ) }.
% 0.46/1.10  { ! member( Y, X ), ! alpha10( X, Z, T ), alpha12( X, Y, Z, T ) }.
% 0.88/1.26  { ! alpha10( X, Y, Z ), member( Y, X ) }.
% 0.88/1.26  { ! alpha10( X, Y, Z ), member( Z, X ) }.
% 0.88/1.26  { ! member( Y, X ), ! member( Z, X ), alpha10( X, Y, Z ) }.
% 0.88/1.26  { ! alpha4( X, Y ), ! alpha9( Y, Z, T ), alpha11( X, Z, T ) }.
% 0.88/1.26  { alpha9( Y, skol9( X, Y ), skol13( X, Y ) ), alpha4( X, Y ) }.
% 0.88/1.26  { ! alpha11( X, skol9( X, Y ), skol13( X, Y ) ), alpha4( X, Y ) }.
% 0.88/1.26  { ! alpha11( X, Y, Z ), ! apply( X, Y, Z ), ! apply( X, Z, Y ) }.
% 0.88/1.26  { apply( X, Y, Z ), alpha11( X, Y, Z ) }.
% 0.88/1.26  { apply( X, Z, Y ), alpha11( X, Y, Z ) }.
% 0.88/1.26  { ! alpha9( X, Y, Z ), member( Y, X ) }.
% 0.88/1.26  { ! alpha9( X, Y, Z ), member( Z, X ) }.
% 0.88/1.26  { ! member( Y, X ), ! member( Z, X ), alpha9( X, Y, Z ) }.
% 0.88/1.26  { ! set( X ), ! member( Y, X ), set( Y ) }.
% 0.88/1.26  { ! member( T, initial_segment( X, Y, Z ) ), member( T, Z ) }.
% 0.88/1.26  { ! member( T, initial_segment( X, Y, Z ) ), apply( Y, T, X ) }.
% 0.88/1.26  { ! member( T, Z ), ! apply( Y, T, X ), member( T, initial_segment( X, Y, Z
% 0.88/1.26     ) ) }.
% 0.88/1.26  { ! member( Y, suc( X ) ), member( Y, union( X, singleton( X ) ) ) }.
% 0.88/1.26  { ! member( Y, union( X, singleton( X ) ) ), member( Y, suc( X ) ) }.
% 0.88/1.26  { member( skol10, on ) }.
% 0.88/1.26  { ! member( skol10, suc( skol10 ) ) }.
% 0.88/1.26  
% 0.88/1.26  percentage equality = 0.037915, percentage horn = 0.849462
% 0.88/1.26  This is a problem with some equality
% 0.88/1.26  
% 0.88/1.26  
% 0.88/1.26  
% 0.88/1.26  Options Used:
% 0.88/1.26  
% 0.88/1.26  useres =            1
% 0.88/1.26  useparamod =        1
% 0.88/1.26  useeqrefl =         1
% 0.88/1.26  useeqfact =         1
% 0.88/1.26  usefactor =         1
% 0.88/1.26  usesimpsplitting =  0
% 0.88/1.26  usesimpdemod =      5
% 0.88/1.26  usesimpres =        3
% 0.88/1.26  
% 0.88/1.26  resimpinuse      =  1000
% 0.88/1.26  resimpclauses =     20000
% 0.88/1.26  substype =          eqrewr
% 0.88/1.26  backwardsubs =      1
% 0.88/1.26  selectoldest =      5
% 0.88/1.26  
% 0.88/1.26  litorderings [0] =  split
% 0.88/1.26  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.88/1.26  
% 0.88/1.26  termordering =      kbo
% 0.88/1.26  
% 0.88/1.26  litapriori =        0
% 0.88/1.26  termapriori =       1
% 0.88/1.26  litaposteriori =    0
% 0.88/1.26  termaposteriori =   0
% 0.88/1.26  demodaposteriori =  0
% 0.88/1.26  ordereqreflfact =   0
% 0.88/1.26  
% 0.88/1.26  litselect =         negord
% 0.88/1.26  
% 0.88/1.26  maxweight =         15
% 0.88/1.26  maxdepth =          30000
% 0.88/1.26  maxlength =         115
% 0.88/1.26  maxnrvars =         195
% 0.88/1.26  excuselevel =       1
% 0.88/1.26  increasemaxweight = 1
% 0.88/1.26  
% 0.88/1.26  maxselected =       10000000
% 0.88/1.26  maxnrclauses =      10000000
% 0.88/1.26  
% 0.88/1.26  showgenerated =    0
% 0.88/1.26  showkept =         0
% 0.88/1.26  showselected =     0
% 0.88/1.26  showdeleted =      0
% 0.88/1.26  showresimp =       1
% 0.88/1.26  showstatus =       2000
% 0.88/1.26  
% 0.88/1.26  prologoutput =     0
% 0.88/1.26  nrgoals =          5000000
% 0.88/1.26  totalproof =       1
% 0.88/1.26  
% 0.88/1.26  Symbols occurring in the translation:
% 0.88/1.26  
% 0.88/1.26  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.88/1.26  .  [1, 2]      (w:1, o:33, a:1, s:1, b:0), 
% 0.88/1.26  !  [4, 1]      (w:0, o:18, a:1, s:1, b:0), 
% 0.88/1.26  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.88/1.26  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.88/1.26  subset  [37, 2]      (w:1, o:59, a:1, s:1, b:0), 
% 0.88/1.26  member  [39, 2]      (w:1, o:60, a:1, s:1, b:0), 
% 0.88/1.26  equal_set  [40, 2]      (w:1, o:62, a:1, s:1, b:0), 
% 0.88/1.26  power_set  [41, 1]      (w:1, o:23, a:1, s:1, b:0), 
% 0.88/1.26  intersection  [42, 2]      (w:1, o:63, a:1, s:1, b:0), 
% 0.88/1.26  union  [43, 2]      (w:1, o:64, a:1, s:1, b:0), 
% 0.88/1.26  empty_set  [44, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.88/1.26  difference  [46, 2]      (w:1, o:61, a:1, s:1, b:0), 
% 0.88/1.26  singleton  [47, 1]      (w:1, o:24, a:1, s:1, b:0), 
% 0.88/1.26  unordered_pair  [48, 2]      (w:1, o:65, a:1, s:1, b:0), 
% 0.88/1.26  sum  [49, 1]      (w:1, o:25, a:1, s:1, b:0), 
% 0.88/1.26  product  [51, 1]      (w:1, o:26, a:1, s:1, b:0), 
% 0.88/1.26  on  [52, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 0.88/1.26  set  [53, 1]      (w:1, o:27, a:1, s:1, b:0), 
% 0.88/1.26  member_predicate  [54, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 0.88/1.26  strict_well_order  [55, 2]      (w:1, o:57, a:1, s:1, b:0), 
% 0.88/1.26  strict_order  [57, 2]      (w:1, o:58, a:1, s:1, b:0), 
% 0.88/1.26  least  [58, 3]      (w:1, o:80, a:1, s:1, b:0), 
% 0.88/1.26  apply  [60, 3]      (w:1, o:81, a:1, s:1, b:0), 
% 0.88/1.26  initial_segment  [62, 3]      (w:1, o:82, a:1, s:1, b:0), 
% 0.88/1.26  suc  [63, 1]      (w:1, o:28, a:1, s:1, b:0), 
% 0.88/1.26  alpha1  [64, 1]      (w:1, o:29, a:1, s:1, b:1), 
% 0.88/1.26  alpha2  [65, 2]      (w:1, o:66, a:1, s:1, b:1), 
% 0.88/1.26  alpha3  [66, 3]      (w:1, o:83, a:1, s:1, b:1), 
% 0.88/1.26  alpha4  [67, 2]      (w:1, o:67, a:1, s:1, b:1), 
% 0.88/1.26  alpha5  [68, 1]      (w:1, o:30, a:1, s:1, b:1), 
% 0.88/1.26  alpha6  [69, 2]      (w:1, o:68, a:1, s:1, b:1), 
% 0.88/1.26  alpha7  [70, 3]      (w:1, o:84, a:1, s:1, b:1), 
% 0.88/1.26  alpha8  [71, 2]      (w:1, o:69, a:1, s:1, b:1), 
% 0.88/1.26  alpha9  [72, 3]      (w:1, o:85, a:1, s:1, b:1), 
% 0.88/1.26  alpha10  [73, 3]      (w:1, o:86, a:1, s:1, b:1), 
% 0.88/1.26  alpha11  [74, 3]      (w:1, o:87, a:1, s:1, b:1), 
% 0.88/1.26  alpha12  [75, 4]      (w:1, o:89, a:1, s:1, b:1), 
% 0.88/1.26  alpha13  [76, 4]      (w:1, o:90, a:1, s:1, b:1), 
% 0.88/1.26  alpha14  [77, 4]      (w:1, o:91, a:1, s:1, b:1), 
% 0.88/1.26  skol1  [78, 2]      (w:1, o:70, a:1, s:1, b:1), 
% 0.88/1.26  skol2  [79, 2]      (w:1, o:75, a:1, s:1, b:1), 
% 0.88/1.26  skol3  [80, 2]      (w:1, o:76, a:1, s:1, b:1), 
% 0.88/1.26  skol4  [81, 1]      (w:1, o:31, a:1, s:1, b:1), 
% 0.88/1.26  skol5  [82, 2]      (w:1, o:77, a:1, s:1, b:1), 
% 0.88/1.26  skol6  [83, 1]      (w:1, o:32, a:1, s:1, b:1), 
% 0.88/1.26  skol7  [84, 3]      (w:1, o:88, a:1, s:1, b:1), 
% 0.88/1.26  skol8  [85, 2]      (w:1, o:78, a:1, s:1, b:1), 
% 0.88/1.26  skol9  [86, 2]      (w:1, o:79, a:1, s:1, b:1), 
% 0.88/1.26  skol10  [87, 0]      (w:1, o:17, a:1, s:1, b:1), 
% 0.88/1.26  skol11  [88, 2]      (w:1, o:71, a:1, s:1, b:1), 
% 0.88/1.26  skol12  [89, 2]      (w:1, o:72, a:1, s:1, b:1), 
% 0.88/1.26  skol13  [90, 2]      (w:1, o:73, a:1, s:1, b:1), 
% 0.88/1.26  skol14  [91, 2]      (w:1, o:74, a:1, s:1, b:1).
% 0.88/1.26  
% 0.88/1.26  
% 0.88/1.26  Starting Search:
% 0.88/1.26  
% 0.88/1.26  *** allocated 15000 integers for clauses
% 0.88/1.26  *** allocated 22500 integers for clauses
% 0.88/1.26  *** allocated 33750 integers for clauses
% 0.88/1.26  *** allocated 50625 integers for clauses
% 0.88/1.26  *** allocated 15000 integers for termspace/termends
% 0.88/1.26  *** allocated 75937 integers for clauses
% 0.88/1.26  *** allocated 22500 integers for termspace/termends
% 0.88/1.26  Resimplifying inuse:
% 0.88/1.26  Done
% 0.88/1.26  
% 0.88/1.26  *** allocated 113905 integers for clauses
% 0.88/1.26  *** allocated 33750 integers for termspace/termends
% 0.88/1.26  
% 0.88/1.26  Intermediate Status:
% 0.88/1.26  Generated:    2689
% 0.88/1.26  Kept:         2007
% 0.88/1.26  Inuse:        127
% 0.88/1.26  Deleted:      3
% 0.88/1.26  Deletedinuse: 1
% 0.88/1.26  
% 0.88/1.26  *** allocated 170857 integers for clauses
% 0.88/1.26  Resimplifying inuse:
% 0.88/1.26  Done
% 0.88/1.26  
% 0.88/1.26  *** allocated 50625 integers for termspace/termends
% 0.88/1.26  Resimplifying inuse:
% 0.88/1.26  Done
% 0.88/1.26  
% 0.88/1.26  *** allocated 256285 integers for clauses
% 0.88/1.26  *** allocated 75937 integers for termspace/termends
% 0.88/1.26  
% 0.88/1.26  Intermediate Status:
% 0.88/1.26  Generated:    5419
% 0.88/1.26  Kept:         4097
% 0.88/1.26  Inuse:        229
% 0.88/1.26  Deleted:      14
% 0.88/1.26  Deletedinuse: 12
% 0.88/1.26  
% 0.88/1.26  Resimplifying inuse:
% 0.88/1.26  Done
% 0.88/1.26  
% 0.88/1.26  Resimplifying inuse:
% 0.88/1.26  Done
% 0.88/1.26  
% 0.88/1.26  *** allocated 384427 integers for clauses
% 0.88/1.26  *** allocated 113905 integers for termspace/termends
% 0.88/1.26  
% 0.88/1.26  Intermediate Status:
% 0.88/1.26  Generated:    8141
% 0.88/1.26  Kept:         6101
% 0.88/1.26  Inuse:        362
% 0.88/1.26  Deleted:      16
% 0.88/1.26  Deletedinuse: 12
% 0.88/1.26  
% 0.88/1.26  Resimplifying inuse:
% 0.88/1.26  Done
% 0.88/1.26  
% 0.88/1.26  
% 0.88/1.26  Bliksems!, er is een bewijs:
% 0.88/1.26  % SZS status Theorem
% 0.88/1.26  % SZS output start Refutation
% 0.88/1.26  
% 0.88/1.26  (13) {G0,W8,D3,L2,V3,M2} I { ! member( X, Z ), member( X, union( Y, Z ) )
% 0.88/1.26     }.
% 0.88/1.26  (19) {G0,W7,D3,L2,V2,M2} I { ! X = Y, member( X, singleton( Y ) ) }.
% 0.88/1.26  (90) {G0,W10,D4,L2,V2,M2} I { ! member( Y, union( X, singleton( X ) ) ), 
% 0.88/1.26    member( Y, suc( X ) ) }.
% 0.88/1.26  (92) {G0,W4,D3,L1,V0,M1} I { ! member( skol10, suc( skol10 ) ) }.
% 0.88/1.26  (96) {G1,W4,D3,L1,V1,M1} Q(19) { member( X, singleton( X ) ) }.
% 0.88/1.26  (435) {G2,W6,D4,L1,V2,M1} R(13,96) { member( X, union( Y, singleton( X ) )
% 0.88/1.26     ) }.
% 0.88/1.26  (6982) {G3,W0,D0,L0,V0,M0} R(90,92);r(435) {  }.
% 0.88/1.26  
% 0.88/1.26  
% 0.88/1.26  % SZS output end Refutation
% 0.88/1.26  found a proof!
% 0.88/1.26  
% 0.88/1.26  
% 0.88/1.26  Unprocessed initial clauses:
% 0.88/1.26  
% 0.88/1.26  (6984) {G0,W9,D2,L3,V3,M3}  { ! subset( X, Y ), ! member( Z, X ), member( Z
% 0.88/1.26    , Y ) }.
% 0.88/1.26  (6985) {G0,W8,D3,L2,V3,M2}  { ! member( skol1( Z, Y ), Y ), subset( X, Y )
% 0.88/1.26     }.
% 0.88/1.26  (6986) {G0,W8,D3,L2,V2,M2}  { member( skol1( X, Y ), X ), subset( X, Y )
% 0.88/1.26     }.
% 0.88/1.26  (6987) {G0,W6,D2,L2,V2,M2}  { ! equal_set( X, Y ), subset( X, Y ) }.
% 0.88/1.26  (6988) {G0,W6,D2,L2,V2,M2}  { ! equal_set( X, Y ), subset( Y, X ) }.
% 0.88/1.26  (6989) {G0,W9,D2,L3,V2,M3}  { ! subset( X, Y ), ! subset( Y, X ), equal_set
% 0.88/1.26    ( X, Y ) }.
% 0.88/1.26  (6990) {G0,W7,D3,L2,V2,M2}  { ! member( X, power_set( Y ) ), subset( X, Y )
% 0.88/1.26     }.
% 0.88/1.26  (6991) {G0,W7,D3,L2,V2,M2}  { ! subset( X, Y ), member( X, power_set( Y ) )
% 0.88/1.26     }.
% 0.88/1.26  (6992) {G0,W8,D3,L2,V3,M2}  { ! member( X, intersection( Y, Z ) ), member( 
% 0.88/1.26    X, Y ) }.
% 0.88/1.26  (6993) {G0,W8,D3,L2,V3,M2}  { ! member( X, intersection( Y, Z ) ), member( 
% 0.88/1.26    X, Z ) }.
% 0.88/1.26  (6994) {G0,W11,D3,L3,V3,M3}  { ! member( X, Y ), ! member( X, Z ), member( 
% 0.88/1.26    X, intersection( Y, Z ) ) }.
% 0.88/1.26  (6995) {G0,W11,D3,L3,V3,M3}  { ! member( X, union( Y, Z ) ), member( X, Y )
% 0.88/1.26    , member( X, Z ) }.
% 0.88/1.26  (6996) {G0,W8,D3,L2,V3,M2}  { ! member( X, Y ), member( X, union( Y, Z ) )
% 0.88/1.26     }.
% 0.88/1.26  (6997) {G0,W8,D3,L2,V3,M2}  { ! member( X, Z ), member( X, union( Y, Z ) )
% 0.88/1.26     }.
% 0.88/1.26  (6998) {G0,W3,D2,L1,V1,M1}  { ! member( X, empty_set ) }.
% 0.88/1.26  (6999) {G0,W8,D3,L2,V3,M2}  { ! member( X, difference( Z, Y ) ), member( X
% 0.88/1.26    , Z ) }.
% 0.88/1.26  (7000) {G0,W8,D3,L2,V3,M2}  { ! member( X, difference( Z, Y ) ), ! member( 
% 0.88/1.26    X, Y ) }.
% 0.88/1.26  (7001) {G0,W11,D3,L3,V3,M3}  { ! member( X, Z ), member( X, Y ), member( X
% 0.88/1.26    , difference( Z, Y ) ) }.
% 0.88/1.26  (7002) {G0,W7,D3,L2,V2,M2}  { ! member( X, singleton( Y ) ), X = Y }.
% 0.88/1.26  (7003) {G0,W7,D3,L2,V2,M2}  { ! X = Y, member( X, singleton( Y ) ) }.
% 0.88/1.26  (7004) {G0,W11,D3,L3,V3,M3}  { ! member( X, unordered_pair( Y, Z ) ), X = Y
% 0.88/1.26    , X = Z }.
% 0.88/1.26  (7005) {G0,W8,D3,L2,V3,M2}  { ! X = Y, member( X, unordered_pair( Y, Z ) )
% 0.88/1.26     }.
% 0.88/1.26  (7006) {G0,W8,D3,L2,V3,M2}  { ! X = Z, member( X, unordered_pair( Y, Z ) )
% 0.88/1.26     }.
% 0.88/1.26  (7007) {G0,W9,D3,L2,V3,M2}  { ! member( X, sum( Y ) ), member( skol2( Z, Y
% 0.88/1.26     ), Y ) }.
% 0.88/1.26  (7008) {G0,W9,D3,L2,V2,M2}  { ! member( X, sum( Y ) ), member( X, skol2( X
% 0.88/1.26    , Y ) ) }.
% 0.88/1.26  (7009) {G0,W10,D3,L3,V3,M3}  { ! member( Z, Y ), ! member( X, Z ), member( 
% 0.88/1.26    X, sum( Y ) ) }.
% 0.88/1.26  (7010) {G0,W10,D3,L3,V3,M3}  { ! member( X, product( Y ) ), ! member( Z, Y
% 0.88/1.26     ), member( X, Z ) }.
% 0.88/1.26  (7011) {G0,W9,D3,L2,V3,M2}  { member( skol3( Z, Y ), Y ), member( X, 
% 0.88/1.26    product( Y ) ) }.
% 0.88/1.26  (7012) {G0,W9,D3,L2,V2,M2}  { ! member( X, skol3( X, Y ) ), member( X, 
% 0.88/1.26    product( Y ) ) }.
% 0.88/1.26  (7013) {G0,W5,D2,L2,V1,M2}  { ! member( X, on ), set( X ) }.
% 0.88/1.26  (7014) {G0,W5,D2,L2,V1,M2}  { ! member( X, on ), alpha1( X ) }.
% 0.88/1.26  (7015) {G0,W7,D2,L3,V1,M3}  { ! set( X ), ! alpha1( X ), member( X, on )
% 0.88/1.26     }.
% 0.88/1.26  (7016) {G0,W5,D2,L2,V1,M2}  { ! alpha1( X ), strict_well_order( 
% 0.88/1.26    member_predicate, X ) }.
% 0.88/1.26  (7017) {G0,W4,D2,L2,V1,M2}  { ! alpha1( X ), alpha5( X ) }.
% 0.88/1.26  (7018) {G0,W7,D2,L3,V1,M3}  { ! strict_well_order( member_predicate, X ), !
% 0.88/1.26     alpha5( X ), alpha1( X ) }.
% 0.88/1.26  (7019) {G0,W8,D2,L3,V2,M3}  { ! alpha5( X ), ! member( Y, X ), subset( Y, X
% 0.88/1.26     ) }.
% 0.88/1.26  (7020) {G0,W6,D3,L2,V1,M2}  { member( skol4( X ), X ), alpha5( X ) }.
% 0.88/1.26  (7021) {G0,W6,D3,L2,V1,M2}  { ! subset( skol4( X ), X ), alpha5( X ) }.
% 0.88/1.26  (7022) {G0,W6,D2,L2,V2,M2}  { ! strict_well_order( X, Y ), strict_order( X
% 0.88/1.26    , Y ) }.
% 0.88/1.26  (7023) {G0,W6,D2,L2,V2,M2}  { ! strict_well_order( X, Y ), alpha2( X, Y )
% 0.88/1.26     }.
% 0.88/1.26  (7024) {G0,W9,D2,L3,V2,M3}  { ! strict_order( X, Y ), ! alpha2( X, Y ), 
% 0.88/1.26    strict_well_order( X, Y ) }.
% 0.88/1.26  (7025) {G0,W12,D3,L3,V3,M3}  { ! alpha2( X, Y ), ! alpha6( Y, Z ), least( 
% 0.88/1.26    skol5( X, Z ), X, Z ) }.
% 0.88/1.26  (7026) {G0,W8,D3,L2,V3,M2}  { alpha6( Y, skol11( Z, Y ) ), alpha2( X, Y )
% 0.88/1.26     }.
% 0.88/1.26  (7027) {G0,W9,D3,L2,V3,M2}  { ! least( Z, X, skol11( X, Y ) ), alpha2( X, Y
% 0.88/1.26     ) }.
% 0.88/1.26  (7028) {G0,W6,D2,L2,V2,M2}  { ! alpha6( X, Y ), subset( Y, X ) }.
% 0.88/1.26  (7029) {G0,W7,D3,L2,V2,M2}  { ! alpha6( X, Y ), member( skol6( Y ), Y ) }.
% 0.88/1.26  (7030) {G0,W9,D2,L3,V3,M3}  { ! subset( Y, X ), ! member( Z, Y ), alpha6( X
% 0.88/1.26    , Y ) }.
% 0.88/1.26  (7031) {G0,W7,D2,L2,V3,M2}  { ! least( Z, X, Y ), member( Z, Y ) }.
% 0.88/1.26  (7032) {G0,W8,D2,L2,V3,M2}  { ! least( Z, X, Y ), alpha3( X, Y, Z ) }.
% 0.88/1.26  (7033) {G0,W11,D2,L3,V3,M3}  { ! member( Z, Y ), ! alpha3( X, Y, Z ), least
% 0.88/1.26    ( Z, X, Y ) }.
% 0.88/1.26  (7034) {G0,W11,D2,L3,V4,M3}  { ! alpha3( X, Y, Z ), ! member( T, Y ), 
% 0.88/1.26    alpha7( X, Z, T ) }.
% 0.88/1.26  (7035) {G0,W10,D3,L2,V5,M2}  { member( skol7( T, Y, U ), Y ), alpha3( X, Y
% 0.88/1.26    , Z ) }.
% 0.88/1.26  (7036) {G0,W11,D3,L2,V3,M2}  { ! alpha7( X, Z, skol7( X, Y, Z ) ), alpha3( 
% 0.88/1.26    X, Y, Z ) }.
% 0.88/1.26  (7037) {G0,W11,D2,L3,V3,M3}  { ! alpha7( X, Y, Z ), Y = Z, apply( X, Y, Z )
% 0.88/1.26     }.
% 0.88/1.26  (7038) {G0,W7,D2,L2,V3,M2}  { ! Y = Z, alpha7( X, Y, Z ) }.
% 0.88/1.26  (7039) {G0,W8,D2,L2,V3,M2}  { ! apply( X, Y, Z ), alpha7( X, Y, Z ) }.
% 0.88/1.26  (7040) {G0,W7,D2,L2,V2,M2}  { ! apply( member_predicate, X, Y ), member( X
% 0.88/1.26    , Y ) }.
% 0.88/1.26  (7041) {G0,W7,D2,L2,V2,M2}  { ! member( X, Y ), apply( member_predicate, X
% 0.88/1.26    , Y ) }.
% 0.88/1.26  (7042) {G0,W6,D2,L2,V2,M2}  { ! strict_order( X, Y ), alpha4( X, Y ) }.
% 0.88/1.26  (7043) {G0,W6,D2,L2,V2,M2}  { ! strict_order( X, Y ), alpha8( X, Y ) }.
% 0.88/1.26  (7044) {G0,W9,D2,L3,V2,M3}  { ! alpha4( X, Y ), ! alpha8( X, Y ), 
% 0.88/1.26    strict_order( X, Y ) }.
% 0.88/1.26  (7045) {G0,W13,D2,L3,V5,M3}  { ! alpha8( X, Y ), ! alpha12( Y, Z, T, U ), 
% 0.88/1.26    alpha13( X, Z, T, U ) }.
% 0.88/1.26  (7046) {G0,W14,D3,L2,V2,M2}  { alpha12( Y, skol8( X, Y ), skol12( X, Y ), 
% 0.88/1.26    skol14( X, Y ) ), alpha8( X, Y ) }.
% 0.88/1.26  (7047) {G0,W14,D3,L2,V2,M2}  { ! alpha13( X, skol8( X, Y ), skol12( X, Y )
% 0.88/1.26    , skol14( X, Y ) ), alpha8( X, Y ) }.
% 0.88/1.26  (7048) {G0,W14,D2,L3,V4,M3}  { ! alpha13( X, Y, Z, T ), ! alpha14( X, Y, Z
% 0.88/1.26    , T ), apply( X, Y, T ) }.
% 0.88/1.26  (7049) {G0,W10,D2,L2,V4,M2}  { alpha14( X, Y, Z, T ), alpha13( X, Y, Z, T )
% 0.88/1.26     }.
% 0.88/1.26  (7050) {G0,W9,D2,L2,V4,M2}  { ! apply( X, Y, T ), alpha13( X, Y, Z, T ) }.
% 0.88/1.26  (7051) {G0,W9,D2,L2,V4,M2}  { ! alpha14( X, Y, Z, T ), apply( X, Y, Z ) }.
% 0.88/1.26  (7052) {G0,W9,D2,L2,V4,M2}  { ! alpha14( X, Y, Z, T ), apply( X, Z, T ) }.
% 0.88/1.26  (7053) {G0,W13,D2,L3,V4,M3}  { ! apply( X, Y, Z ), ! apply( X, Z, T ), 
% 0.88/1.26    alpha14( X, Y, Z, T ) }.
% 0.88/1.26  (7054) {G0,W8,D2,L2,V4,M2}  { ! alpha12( X, Y, Z, T ), member( Y, X ) }.
% 0.88/1.26  (7055) {G0,W9,D2,L2,V4,M2}  { ! alpha12( X, Y, Z, T ), alpha10( X, Z, T )
% 0.88/1.26     }.
% 0.88/1.26  (7056) {G0,W12,D2,L3,V4,M3}  { ! member( Y, X ), ! alpha10( X, Z, T ), 
% 0.88/1.26    alpha12( X, Y, Z, T ) }.
% 0.88/1.26  (7057) {G0,W7,D2,L2,V3,M2}  { ! alpha10( X, Y, Z ), member( Y, X ) }.
% 0.88/1.26  (7058) {G0,W7,D2,L2,V3,M2}  { ! alpha10( X, Y, Z ), member( Z, X ) }.
% 0.88/1.26  (7059) {G0,W10,D2,L3,V3,M3}  { ! member( Y, X ), ! member( Z, X ), alpha10
% 0.88/1.26    ( X, Y, Z ) }.
% 0.88/1.26  (7060) {G0,W11,D2,L3,V4,M3}  { ! alpha4( X, Y ), ! alpha9( Y, Z, T ), 
% 0.88/1.26    alpha11( X, Z, T ) }.
% 0.88/1.26  (7061) {G0,W11,D3,L2,V2,M2}  { alpha9( Y, skol9( X, Y ), skol13( X, Y ) ), 
% 0.88/1.26    alpha4( X, Y ) }.
% 0.88/1.26  (7062) {G0,W11,D3,L2,V2,M2}  { ! alpha11( X, skol9( X, Y ), skol13( X, Y )
% 0.88/1.26     ), alpha4( X, Y ) }.
% 0.88/1.26  (7063) {G0,W12,D2,L3,V3,M3}  { ! alpha11( X, Y, Z ), ! apply( X, Y, Z ), ! 
% 0.88/1.26    apply( X, Z, Y ) }.
% 0.88/1.26  (7064) {G0,W8,D2,L2,V3,M2}  { apply( X, Y, Z ), alpha11( X, Y, Z ) }.
% 0.88/1.26  (7065) {G0,W8,D2,L2,V3,M2}  { apply( X, Z, Y ), alpha11( X, Y, Z ) }.
% 0.88/1.26  (7066) {G0,W7,D2,L2,V3,M2}  { ! alpha9( X, Y, Z ), member( Y, X ) }.
% 0.88/1.26  (7067) {G0,W7,D2,L2,V3,M2}  { ! alpha9( X, Y, Z ), member( Z, X ) }.
% 0.88/1.26  (7068) {G0,W10,D2,L3,V3,M3}  { ! member( Y, X ), ! member( Z, X ), alpha9( 
% 0.88/1.26    X, Y, Z ) }.
% 0.88/1.26  (7069) {G0,W7,D2,L3,V2,M3}  { ! set( X ), ! member( Y, X ), set( Y ) }.
% 0.88/1.26  (7070) {G0,W9,D3,L2,V4,M2}  { ! member( T, initial_segment( X, Y, Z ) ), 
% 0.88/1.26    member( T, Z ) }.
% 0.88/1.26  (7071) {G0,W10,D3,L2,V4,M2}  { ! member( T, initial_segment( X, Y, Z ) ), 
% 0.88/1.26    apply( Y, T, X ) }.
% 0.88/1.26  (7072) {G0,W13,D3,L3,V4,M3}  { ! member( T, Z ), ! apply( Y, T, X ), member
% 0.88/1.26    ( T, initial_segment( X, Y, Z ) ) }.
% 0.88/1.26  (7073) {G0,W10,D4,L2,V2,M2}  { ! member( Y, suc( X ) ), member( Y, union( X
% 0.88/1.26    , singleton( X ) ) ) }.
% 0.88/1.26  (7074) {G0,W10,D4,L2,V2,M2}  { ! member( Y, union( X, singleton( X ) ) ), 
% 0.88/1.26    member( Y, suc( X ) ) }.
% 0.88/1.26  (7075) {G0,W3,D2,L1,V0,M1}  { member( skol10, on ) }.
% 0.88/1.26  (7076) {G0,W4,D3,L1,V0,M1}  { ! member( skol10, suc( skol10 ) ) }.
% 0.88/1.26  
% 0.88/1.26  
% 0.88/1.26  Total Proof:
% 0.88/1.26  
% 0.88/1.26  subsumption: (13) {G0,W8,D3,L2,V3,M2} I { ! member( X, Z ), member( X, 
% 0.88/1.26    union( Y, Z ) ) }.
% 0.88/1.26  parent0: (6997) {G0,W8,D3,L2,V3,M2}  { ! member( X, Z ), member( X, union( 
% 0.88/1.26    Y, Z ) ) }.
% 0.88/1.26  substitution0:
% 0.88/1.26     X := X
% 0.88/1.26     Y := Y
% 0.88/1.26     Z := Z
% 0.88/1.26  end
% 0.88/1.26  permutation0:
% 0.88/1.26     0 ==> 0
% 0.88/1.26     1 ==> 1
% 0.88/1.26  end
% 0.88/1.26  
% 0.88/1.26  subsumption: (19) {G0,W7,D3,L2,V2,M2} I { ! X = Y, member( X, singleton( Y
% 0.88/1.26     ) ) }.
% 0.88/1.26  parent0: (7003) {G0,W7,D3,L2,V2,M2}  { ! X = Y, member( X, singleton( Y ) )
% 0.88/1.26     }.
% 0.88/1.26  substitution0:
% 0.88/1.26     X := X
% 0.88/1.26     Y := Y
% 0.88/1.26  end
% 0.88/1.26  permutation0:
% 0.88/1.26     0 ==> 0
% 0.88/1.26     1 ==> 1
% 0.88/1.26  end
% 0.88/1.26  
% 0.88/1.26  subsumption: (90) {G0,W10,D4,L2,V2,M2} I { ! member( Y, union( X, singleton
% 0.88/1.26    ( X ) ) ), member( Y, suc( X ) ) }.
% 0.88/1.26  parent0: (7074) {G0,W10,D4,L2,V2,M2}  { ! member( Y, union( X, singleton( X
% 0.88/1.26     ) ) ), member( Y, suc( X ) ) }.
% 0.88/1.26  substitution0:
% 0.88/1.26     X := X
% 0.88/1.26     Y := Y
% 0.88/1.26  end
% 0.88/1.26  permutation0:
% 0.88/1.26     0 ==> 0
% 0.88/1.26     1 ==> 1
% 0.88/1.26  end
% 0.88/1.26  
% 0.88/1.26  subsumption: (92) {G0,W4,D3,L1,V0,M1} I { ! member( skol10, suc( skol10 ) )
% 0.88/1.26     }.
% 0.88/1.26  parent0: (7076) {G0,W4,D3,L1,V0,M1}  { ! member( skol10, suc( skol10 ) )
% 0.88/1.26     }.
% 0.88/1.26  substitution0:
% 0.88/1.26  end
% 0.88/1.26  permutation0:
% 0.88/1.26     0 ==> 0
% 0.88/1.26  end
% 0.88/1.26  
% 0.88/1.26  eqswap: (7123) {G0,W7,D3,L2,V2,M2}  { ! Y = X, member( X, singleton( Y ) )
% 0.88/1.26     }.
% 0.88/1.26  parent0[0]: (19) {G0,W7,D3,L2,V2,M2} I { ! X = Y, member( X, singleton( Y )
% 0.88/1.26     ) }.
% 0.88/1.26  substitution0:
% 0.88/1.26     X := X
% 0.88/1.26     Y := Y
% 0.88/1.26  end
% 0.88/1.26  
% 0.88/1.26  eqrefl: (7124) {G0,W4,D3,L1,V1,M1}  { member( X, singleton( X ) ) }.
% 0.88/1.26  parent0[0]: (7123) {G0,W7,D3,L2,V2,M2}  { ! Y = X, member( X, singleton( Y
% 0.88/1.26     ) ) }.
% 0.88/1.26  substitution0:
% 0.88/1.26     X := X
% 0.88/1.26     Y := X
% 0.88/1.26  end
% 0.88/1.26  
% 0.88/1.26  subsumption: (96) {G1,W4,D3,L1,V1,M1} Q(19) { member( X, singleton( X ) )
% 0.88/1.26     }.
% 0.88/1.26  parent0: (7124) {G0,W4,D3,L1,V1,M1}  { member( X, singleton( X ) ) }.
% 0.88/1.26  substitution0:
% 0.88/1.26     X := X
% 0.88/1.26  end
% 0.88/1.26  permutation0:
% 0.88/1.26     0 ==> 0
% 0.88/1.26  end
% 0.88/1.26  
% 0.88/1.26  resolution: (7125) {G1,W6,D4,L1,V2,M1}  { member( X, union( Y, singleton( X
% 0.88/1.26     ) ) ) }.
% 0.88/1.26  parent0[0]: (13) {G0,W8,D3,L2,V3,M2} I { ! member( X, Z ), member( X, union
% 0.88/1.26    ( Y, Z ) ) }.
% 0.88/1.26  parent1[0]: (96) {G1,W4,D3,L1,V1,M1} Q(19) { member( X, singleton( X ) )
% 0.88/1.26     }.
% 0.88/1.26  substitution0:
% 0.88/1.26     X := X
% 0.88/1.26     Y := Y
% 0.88/1.26     Z := singleton( X )
% 0.88/1.26  end
% 0.88/1.26  substitution1:
% 0.88/1.26     X := X
% 0.88/1.26  end
% 0.88/1.26  
% 0.88/1.26  subsumption: (435) {G2,W6,D4,L1,V2,M1} R(13,96) { member( X, union( Y, 
% 0.88/1.26    singleton( X ) ) ) }.
% 0.88/1.26  parent0: (7125) {G1,W6,D4,L1,V2,M1}  { member( X, union( Y, singleton( X )
% 0.88/1.26     ) ) }.
% 0.88/1.26  substitution0:
% 0.88/1.26     X := X
% 0.88/1.26     Y := Y
% 0.88/1.26  end
% 0.88/1.26  permutation0:
% 0.88/1.26     0 ==> 0
% 0.88/1.26  end
% 0.88/1.26  
% 0.88/1.26  resolution: (7126) {G1,W6,D4,L1,V0,M1}  { ! member( skol10, union( skol10, 
% 0.88/1.26    singleton( skol10 ) ) ) }.
% 0.88/1.26  parent0[0]: (92) {G0,W4,D3,L1,V0,M1} I { ! member( skol10, suc( skol10 ) )
% 0.88/1.26     }.
% 0.88/1.26  parent1[1]: (90) {G0,W10,D4,L2,V2,M2} I { ! member( Y, union( X, singleton
% 0.88/1.26    ( X ) ) ), member( Y, suc( X ) ) }.
% 0.88/1.26  substitution0:
% 0.88/1.26  end
% 0.88/1.26  substitution1:
% 0.88/1.26     X := skol10
% 0.88/1.26     Y := skol10
% 0.88/1.26  end
% 0.88/1.26  
% 0.88/1.26  resolution: (7127) {G2,W0,D0,L0,V0,M0}  {  }.
% 0.88/1.26  parent0[0]: (7126) {G1,W6,D4,L1,V0,M1}  { ! member( skol10, union( skol10, 
% 0.88/1.26    singleton( skol10 ) ) ) }.
% 0.88/1.26  parent1[0]: (435) {G2,W6,D4,L1,V2,M1} R(13,96) { member( X, union( Y, 
% 0.88/1.26    singleton( X ) ) ) }.
% 0.88/1.26  substitution0:
% 0.88/1.26  end
% 0.88/1.26  substitution1:
% 0.88/1.26     X := skol10
% 0.88/1.26     Y := skol10
% 0.88/1.26  end
% 0.88/1.26  
% 0.88/1.26  subsumption: (6982) {G3,W0,D0,L0,V0,M0} R(90,92);r(435) {  }.
% 0.88/1.26  parent0: (7127) {G2,W0,D0,L0,V0,M0}  {  }.
% 0.88/1.26  substitution0:
% 0.88/1.26  end
% 0.88/1.26  permutation0:
% 0.88/1.26  end
% 0.88/1.26  
% 0.88/1.26  Proof check complete!
% 0.88/1.26  
% 0.88/1.26  Memory use:
% 0.88/1.26  
% 0.88/1.26  space for terms:        90779
% 0.88/1.26  space for clauses:      316748
% 0.88/1.26  
% 0.88/1.26  
% 0.88/1.26  clauses generated:      9222
% 0.88/1.26  clauses kept:           6983
% 0.88/1.26  clauses selected:       402
% 0.88/1.26  clauses deleted:        19
% 0.88/1.26  clauses inuse deleted:  15
% 0.88/1.26  
% 0.88/1.26  subsentry:          16450
% 0.88/1.26  literals s-matched: 11744
% 0.88/1.26  literals matched:   10976
% 0.88/1.26  full subsumption:   4076
% 0.88/1.26  
% 0.88/1.26  checksum:           1268873296
% 0.88/1.26  
% 0.88/1.26  
% 0.88/1.26  Bliksem ended
%------------------------------------------------------------------------------