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Bliksem---1.12.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : PRO010+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n005.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 17:39:56 EDT 2022

% Result   : Theorem 0.89s 1.30s
% Output   : Refutation 0.89s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : PRO010+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13  % Command  : bliksem %s
% 0.12/0.34  % Computer : n005.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % DateTime : Mon Jun 13 02:55:39 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.44/1.10  *** allocated 10000 integers for termspace/termends
% 0.44/1.10  *** allocated 10000 integers for clauses
% 0.44/1.10  *** allocated 10000 integers for justifications
% 0.44/1.10  Bliksem 1.12
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  Automatic Strategy Selection
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  Clauses:
% 0.44/1.10  
% 0.44/1.10  { ! occurrence_of( Y, X ), activity( X ) }.
% 0.44/1.10  { ! occurrence_of( Y, X ), activity_occurrence( Y ) }.
% 0.44/1.10  { ! activity_occurrence( X ), activity( skol1( Y ) ) }.
% 0.44/1.10  { ! activity_occurrence( X ), occurrence_of( X, skol1( X ) ) }.
% 0.44/1.10  { ! occurrence_of( Z, X ), ! occurrence_of( Z, Y ), X = Y }.
% 0.44/1.10  { ! activity( X ), subactivity( X, X ) }.
% 0.44/1.10  { ! earlier( X, Y ), ! earlier( Y, X ) }.
% 0.44/1.10  { ! earlier( X, Z ), ! earlier( Z, Y ), earlier( X, Y ) }.
% 0.44/1.10  { ! earlier( X, Z ), ! earlier( Y, Z ), earlier( Y, X ), earlier( X, Y ), X
% 0.44/1.10     = Y }.
% 0.44/1.10  { ! occurrence_of( X, Y ), ! arboreal( X ), atomic( Y ) }.
% 0.44/1.10  { ! occurrence_of( X, Y ), ! atomic( Y ), arboreal( X ) }.
% 0.44/1.10  { ! legal( X ), arboreal( X ) }.
% 0.44/1.10  { ! legal( Y ), ! earlier( X, Y ), legal( X ) }.
% 0.44/1.10  { ! precedes( X, Y ), earlier( X, Y ) }.
% 0.44/1.10  { ! precedes( X, Y ), legal( Y ) }.
% 0.44/1.10  { ! earlier( X, Y ), ! legal( Y ), precedes( X, Y ) }.
% 0.44/1.10  { ! min_precedes( Y, Z, X ), subactivity( skol2( X, T, U ), X ) }.
% 0.44/1.10  { ! min_precedes( Y, Z, X ), alpha6( X, Y, Z, skol2( X, Y, Z ) ) }.
% 0.44/1.10  { ! alpha6( X, Y, Z, T ), atocc( Z, skol3( U, W, Z, V0 ) ) }.
% 0.44/1.10  { ! alpha6( X, Y, Z, T ), subactivity( skol3( X, U, Z, W ), X ) }.
% 0.44/1.10  { ! alpha6( X, Y, Z, T ), atocc( Y, T ) }.
% 0.44/1.10  { ! subactivity( U, X ), ! atocc( Y, T ), ! atocc( Z, U ), alpha6( X, Y, Z
% 0.44/1.10    , T ) }.
% 0.44/1.10  { ! root( Y, X ), atocc( Y, skol4( Z, Y ) ) }.
% 0.44/1.10  { ! root( Y, X ), subactivity( skol4( X, Y ), X ) }.
% 0.44/1.10  { ! min_precedes( Z, X, Y ), root( skol5( T, Y ), Y ) }.
% 0.44/1.10  { ! min_precedes( Z, X, Y ), min_precedes( skol5( X, Y ), X, Y ) }.
% 0.44/1.10  { ! min_precedes( Z, X, Y ), ! root( X, Y ) }.
% 0.44/1.10  { ! min_precedes( X, Y, Z ), precedes( X, Y ) }.
% 0.44/1.10  { ! root( X, Y ), legal( X ) }.
% 0.44/1.10  { ! atocc( X, Y ), ! legal( X ), root( X, Y ) }.
% 0.44/1.10  { ! min_precedes( T, X, Z ), ! min_precedes( T, Y, Z ), ! precedes( X, Y )
% 0.44/1.10    , min_precedes( X, Y, Z ) }.
% 0.44/1.10  { ! min_precedes( Y, Z, X ), ! atomic( X ) }.
% 0.44/1.10  { ! min_precedes( X, T, Z ), ! min_precedes( Y, T, Z ), ! precedes( X, Y )
% 0.44/1.10    , min_precedes( X, Y, Z ) }.
% 0.44/1.10  { ! leaf( X, Y ), alpha1( X, Y ) }.
% 0.44/1.10  { ! leaf( X, Y ), ! min_precedes( X, Z, Y ) }.
% 0.44/1.10  { ! alpha1( X, Y ), min_precedes( X, skol6( X, Y ), Y ), leaf( X, Y ) }.
% 0.44/1.10  { ! alpha1( X, Y ), root( X, Y ), min_precedes( skol7( X, Y ), X, Y ) }.
% 0.44/1.10  { ! root( X, Y ), alpha1( X, Y ) }.
% 0.44/1.10  { ! min_precedes( Z, X, Y ), alpha1( X, Y ) }.
% 0.44/1.10  { ! next_subocc( X, Y, Z ), min_precedes( X, Y, Z ) }.
% 0.44/1.10  { ! next_subocc( X, Y, Z ), alpha2( X, Y, Z ) }.
% 0.44/1.10  { ! min_precedes( X, Y, Z ), ! alpha2( X, Y, Z ), next_subocc( X, Y, Z ) }
% 0.44/1.10    .
% 0.44/1.10  { ! alpha2( X, Y, Z ), ! min_precedes( X, T, Z ), ! min_precedes( T, Y, Z )
% 0.44/1.10     }.
% 0.44/1.10  { min_precedes( skol8( T, Y, Z ), Y, Z ), alpha2( X, Y, Z ) }.
% 0.44/1.10  { min_precedes( X, skol8( X, Y, Z ), Z ), alpha2( X, Y, Z ) }.
% 0.44/1.10  { ! atocc( X, Y ), subactivity( Y, skol9( Z, Y ) ) }.
% 0.44/1.10  { ! atocc( X, Y ), alpha3( X, skol9( X, Y ) ) }.
% 0.44/1.10  { ! subactivity( Y, Z ), ! alpha3( X, Z ), atocc( X, Y ) }.
% 0.44/1.10  { ! alpha3( X, Y ), atomic( Y ) }.
% 0.44/1.10  { ! alpha3( X, Y ), occurrence_of( X, Y ) }.
% 0.44/1.10  { ! atomic( Y ), ! occurrence_of( X, Y ), alpha3( X, Y ) }.
% 0.44/1.10  { ! subactivity_occurrence( X, Y ), activity_occurrence( X ) }.
% 0.44/1.10  { ! subactivity_occurrence( X, Y ), activity_occurrence( Y ) }.
% 0.44/1.10  { ! min_precedes( Y, Z, X ), subactivity_occurrence( Z, skol10( T, U, Z ) )
% 0.44/1.10     }.
% 0.44/1.10  { ! min_precedes( Y, Z, X ), subactivity_occurrence( Y, skol10( T, Y, Z ) )
% 0.44/1.10     }.
% 0.44/1.10  { ! min_precedes( Y, Z, X ), occurrence_of( skol10( X, Y, Z ), X ) }.
% 0.44/1.10  { ! root( Y, X ), atomic( X ), subactivity_occurrence( Y, skol11( Z, Y ) )
% 0.44/1.10     }.
% 0.44/1.10  { ! root( Y, X ), atomic( X ), occurrence_of( skol11( X, Y ), X ) }.
% 0.44/1.10  { ! occurrence_of( Y, X ), atomic( X ), subactivity_occurrence( skol12( Z, 
% 0.44/1.10    Y ), Y ) }.
% 0.44/1.10  { ! occurrence_of( Y, X ), atomic( X ), root( skol12( X, Y ), X ) }.
% 0.44/1.10  { ! occurrence_of( T, X ), ! arboreal( Y ), ! arboreal( Z ), ! 
% 0.44/1.10    subactivity_occurrence( Y, T ), ! subactivity_occurrence( Z, T ), 
% 0.44/1.10    min_precedes( Y, Z, X ), min_precedes( Z, Y, X ), Y = Z }.
% 0.44/1.10  { ! min_precedes( X, Z, T ), ! occurrence_of( Y, T ), ! 
% 0.44/1.10    subactivity_occurrence( Z, Y ), subactivity_occurrence( X, Y ) }.
% 0.44/1.10  { ! occurrence_of( Z, X ), ! occurrence_of( T, Y ), atomic( X ), ! 
% 0.44/1.10    subactivity_occurrence( Z, T ), subactivity( X, Y ) }.
% 0.44/1.10  { ! subactivity_occurrence( X, Z ), ! subactivity_occurrence( Z, Y ), 
% 0.44/1.10    subactivity_occurrence( X, Y ) }.
% 0.44/1.10  { ! occurrence_of( X, Z ), ! occurrence_of( Y, T ), ! subactivity( Z, T ), 
% 0.44/1.10    subactivity_occurrence( X, Y ), subactivity_occurrence( skol13( U, Y ), Y
% 0.44/1.10     ) }.
% 0.44/1.10  { ! occurrence_of( X, Z ), ! occurrence_of( Y, T ), ! subactivity( Z, T ), 
% 0.44/1.10    subactivity_occurrence( X, Y ), ! subactivity_occurrence( skol13( X, Y )
% 0.44/1.10    , X ) }.
% 0.44/1.10  { ! root_occ( X, Y ), occurrence_of( Y, skol14( Z, Y ) ) }.
% 0.44/1.10  { ! root_occ( X, Y ), alpha4( X, Y, skol14( X, Y ) ) }.
% 0.44/1.10  { ! occurrence_of( Y, Z ), ! alpha4( X, Y, Z ), root_occ( X, Y ) }.
% 0.44/1.10  { ! alpha4( X, Y, Z ), subactivity_occurrence( X, Y ) }.
% 0.44/1.10  { ! alpha4( X, Y, Z ), root( X, Z ) }.
% 0.44/1.10  { ! subactivity_occurrence( X, Y ), ! root( X, Z ), alpha4( X, Y, Z ) }.
% 0.44/1.10  { ! leaf_occ( X, Y ), occurrence_of( Y, skol15( Z, Y ) ) }.
% 0.44/1.10  { ! leaf_occ( X, Y ), alpha5( X, Y, skol15( X, Y ) ) }.
% 0.44/1.10  { ! occurrence_of( Y, Z ), ! alpha5( X, Y, Z ), leaf_occ( X, Y ) }.
% 0.44/1.10  { ! alpha5( X, Y, Z ), subactivity_occurrence( X, Y ) }.
% 0.44/1.10  { ! alpha5( X, Y, Z ), leaf( X, Z ) }.
% 0.44/1.10  { ! subactivity_occurrence( X, Y ), ! leaf( X, Z ), alpha5( X, Y, Z ) }.
% 0.44/1.10  { ! occurrence_of( Z, T ), ! root_occ( X, Z ), ! root_occ( Y, Z ), X = Y }
% 0.44/1.10    .
% 0.44/1.10  { ! occurrence_of( Z, T ), atomic( T ), ! leaf_occ( X, Z ), ! leaf_occ( Y, 
% 0.44/1.10    Z ), X = Y }.
% 0.44/1.10  { ! occurrence_of( Z, Y ), ! leaf_occ( X, Z ), ! min_precedes( X, T, Y ) }
% 0.44/1.10    .
% 0.44/1.10  { ! occurrence_of( Z, Y ), ! root_occ( X, Z ), ! min_precedes( T, X, Y ) }
% 0.44/1.10    .
% 0.44/1.10  { ! next_subocc( Z, X, T ), ! next_subocc( Z, Y, T ), ! occurrence_of( U, T
% 0.44/1.10     ), ! subactivity_occurrence( Y, U ), ! subactivity_occurrence( X, U ), X
% 0.44/1.10     = Y }.
% 0.44/1.10  { ! next_subocc( X, Z, T ), ! next_subocc( Y, Z, T ), X = Y }.
% 0.44/1.10  { ! occurrence_of( T, Z ), ! leaf_occ( X, T ), ! root_occ( Y, T ), X = Y, 
% 0.44/1.10    min_precedes( Y, X, Z ) }.
% 0.44/1.10  { ! occurrence_of( T, Z ), ! subactivity_occurrence( X, T ), ! root_occ( Y
% 0.44/1.10    , T ), ! arboreal( X ), min_precedes( Y, X, Z ), Y = X }.
% 0.44/1.10  { ! occurrence_of( T, Z ), ! subactivity_occurrence( X, T ), ! leaf_occ( Y
% 0.44/1.10    , T ), ! arboreal( X ), min_precedes( X, Y, Z ), Y = X }.
% 0.44/1.10  { ! next_subocc( X, Y, Z ), arboreal( X ) }.
% 0.44/1.10  { ! next_subocc( X, Y, Z ), arboreal( Y ) }.
% 0.44/1.10  { ! leaf( X, Y ), atomic( Y ), occurrence_of( skol16( Z, Y ), Y ) }.
% 0.44/1.10  { ! leaf( X, Y ), atomic( Y ), leaf_occ( X, skol16( X, Y ) ) }.
% 0.44/1.10  { ! min_precedes( X, Y, Z ), arboreal( X ) }.
% 0.44/1.10  { ! occurrence_of( T, X ), ! root_occ( Z, T ), ! leaf_occ( U, T ), ! 
% 0.44/1.10    subactivity_occurrence( Y, T ), ! min_precedes( Y, U, X ), Y = Z, 
% 0.44/1.10    min_precedes( Z, Y, X ) }.
% 0.44/1.10  { ! occurrence_of( T, X ), ! root_occ( U, T ), ! leaf_occ( Z, T ), ! 
% 0.44/1.10    subactivity_occurrence( Y, T ), ! min_precedes( U, Y, X ), Y = Z, 
% 0.44/1.10    min_precedes( Y, Z, X ) }.
% 0.44/1.10  { ! occurrence_of( X, tptp0 ), alpha7( X, skol17( X ) ) }.
% 0.44/1.10  { ! occurrence_of( X, tptp0 ), alpha9( skol17( X ), skol22( X ) ) }.
% 0.44/1.10  { ! occurrence_of( X, tptp0 ), alpha11( X, skol22( X ) ) }.
% 0.44/1.10  { ! alpha11( X, Y ), alpha13( skol18( Z, T ) ) }.
% 0.44/1.10  { ! alpha11( X, Y ), next_subocc( Y, skol18( Z, Y ), tptp0 ) }.
% 0.44/1.10  { ! alpha11( X, Y ), leaf_occ( skol18( X, Y ), X ) }.
% 0.44/1.10  { ! alpha13( Z ), ! next_subocc( Y, Z, tptp0 ), ! leaf_occ( Z, X ), alpha11
% 0.44/1.10    ( X, Y ) }.
% 0.44/1.10  { ! alpha13( X ), occurrence_of( X, tptp1 ), occurrence_of( X, tptp2 ) }.
% 0.44/1.10  { ! occurrence_of( X, tptp1 ), alpha13( X ) }.
% 0.44/1.10  { ! occurrence_of( X, tptp2 ), alpha13( X ) }.
% 0.44/1.10  { ! alpha9( X, Y ), occurrence_of( Y, tptp4 ) }.
% 0.44/1.10  { ! alpha9( X, Y ), next_subocc( X, Y, tptp0 ) }.
% 0.44/1.10  { ! occurrence_of( Y, tptp4 ), ! next_subocc( X, Y, tptp0 ), alpha9( X, Y )
% 0.44/1.10     }.
% 0.44/1.10  { ! alpha7( X, Y ), occurrence_of( Y, tptp3 ) }.
% 0.44/1.10  { ! alpha7( X, Y ), root_occ( Y, X ) }.
% 0.44/1.10  { ! occurrence_of( Y, tptp3 ), ! root_occ( Y, X ), alpha7( X, Y ) }.
% 0.44/1.10  { activity( tptp0 ) }.
% 0.44/1.10  { ! atomic( tptp0 ) }.
% 0.44/1.10  { atomic( tptp4 ) }.
% 0.44/1.10  { atomic( tptp1 ) }.
% 0.44/1.10  { atomic( tptp2 ) }.
% 0.44/1.10  { atomic( tptp3 ) }.
% 0.44/1.10  { ! tptp4 = tptp3 }.
% 0.44/1.10  { ! tptp4 = tptp1 }.
% 0.44/1.10  { ! tptp4 = tptp2 }.
% 0.44/1.10  { ! tptp3 = tptp1 }.
% 0.44/1.10  { ! tptp3 = tptp2 }.
% 0.44/1.10  { ! tptp1 = tptp2 }.
% 0.44/1.10  { occurrence_of( skol19, tptp0 ) }.
% 0.44/1.10  { ! leaf_occ( X, skol19 ), alpha12( X, Y ), occurrence_of( X, tptp2 ) }.
% 0.89/1.30  { ! leaf_occ( X, skol19 ), alpha12( X, Y ), alpha10( Y ) }.
% 0.89/1.30  { ! alpha12( X, Y ), occurrence_of( X, tptp1 ) }.
% 0.89/1.30  { ! alpha12( X, Y ), alpha8( Y ) }.
% 0.89/1.30  { ! occurrence_of( X, tptp1 ), ! alpha8( Y ), alpha12( X, Y ) }.
% 0.89/1.30  { ! alpha10( X ), occurrence_of( skol20( Y ), tptp1 ) }.
% 0.89/1.30  { ! alpha10( X ), min_precedes( X, skol20( X ), tptp0 ) }.
% 0.89/1.30  { ! occurrence_of( Y, tptp1 ), ! min_precedes( X, Y, tptp0 ), alpha10( X )
% 0.89/1.30     }.
% 0.89/1.30  { ! alpha8( X ), occurrence_of( skol21( Y ), tptp2 ) }.
% 0.89/1.30  { ! alpha8( X ), min_precedes( X, skol21( X ), tptp0 ) }.
% 0.89/1.30  { ! occurrence_of( Y, tptp2 ), ! min_precedes( X, Y, tptp0 ), alpha8( X ) }
% 0.89/1.30    .
% 0.89/1.30  
% 0.89/1.30  percentage equality = 0.051724, percentage horn = 0.828358
% 0.89/1.30  This is a problem with some equality
% 0.89/1.30  
% 0.89/1.30  
% 0.89/1.30  
% 0.89/1.30  Options Used:
% 0.89/1.30  
% 0.89/1.30  useres =            1
% 0.89/1.30  useparamod =        1
% 0.89/1.30  useeqrefl =         1
% 0.89/1.30  useeqfact =         1
% 0.89/1.30  usefactor =         1
% 0.89/1.30  usesimpsplitting =  0
% 0.89/1.30  usesimpdemod =      5
% 0.89/1.30  usesimpres =        3
% 0.89/1.30  
% 0.89/1.30  resimpinuse      =  1000
% 0.89/1.30  resimpclauses =     20000
% 0.89/1.30  substype =          eqrewr
% 0.89/1.30  backwardsubs =      1
% 0.89/1.30  selectoldest =      5
% 0.89/1.30  
% 0.89/1.30  litorderings [0] =  split
% 0.89/1.30  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.89/1.30  
% 0.89/1.30  termordering =      kbo
% 0.89/1.30  
% 0.89/1.30  litapriori =        0
% 0.89/1.30  termapriori =       1
% 0.89/1.30  litaposteriori =    0
% 0.89/1.30  termaposteriori =   0
% 0.89/1.30  demodaposteriori =  0
% 0.89/1.30  ordereqreflfact =   0
% 0.89/1.30  
% 0.89/1.30  litselect =         negord
% 0.89/1.30  
% 0.89/1.30  maxweight =         15
% 0.89/1.30  maxdepth =          30000
% 0.89/1.30  maxlength =         115
% 0.89/1.30  maxnrvars =         195
% 0.89/1.30  excuselevel =       1
% 0.89/1.30  increasemaxweight = 1
% 0.89/1.30  
% 0.89/1.30  maxselected =       10000000
% 0.89/1.30  maxnrclauses =      10000000
% 0.89/1.30  
% 0.89/1.30  showgenerated =    0
% 0.89/1.30  showkept =         0
% 0.89/1.30  showselected =     0
% 0.89/1.30  showdeleted =      0
% 0.89/1.30  showresimp =       1
% 0.89/1.30  showstatus =       2000
% 0.89/1.30  
% 0.89/1.30  prologoutput =     0
% 0.89/1.30  nrgoals =          5000000
% 0.89/1.30  totalproof =       1
% 0.89/1.30  
% 0.89/1.30  Symbols occurring in the translation:
% 0.89/1.30  
% 0.89/1.30  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.89/1.30  .  [1, 2]      (w:1, o:200, a:1, s:1, b:0), 
% 0.89/1.30  !  [4, 1]      (w:0, o:182, a:1, s:1, b:0), 
% 0.89/1.30  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.89/1.30  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.89/1.30  occurrence_of  [37, 2]      (w:1, o:224, a:1, s:1, b:0), 
% 0.89/1.30  activity  [38, 1]      (w:1, o:187, a:1, s:1, b:0), 
% 0.89/1.30  activity_occurrence  [39, 1]      (w:1, o:188, a:1, s:1, b:0), 
% 0.89/1.30  subactivity  [46, 2]      (w:1, o:227, a:1, s:1, b:0), 
% 0.89/1.30  earlier  [49, 2]      (w:1, o:228, a:1, s:1, b:0), 
% 0.89/1.30  arboreal  [58, 1]      (w:1, o:189, a:1, s:1, b:0), 
% 0.89/1.30  atomic  [59, 1]      (w:1, o:190, a:1, s:1, b:0), 
% 0.89/1.30  legal  [61, 1]      (w:1, o:191, a:1, s:1, b:0), 
% 0.89/1.30  precedes  [66, 2]      (w:1, o:229, a:1, s:1, b:0), 
% 0.89/1.30  min_precedes  [70, 3]      (w:1, o:252, a:1, s:1, b:0), 
% 0.89/1.30  atocc  [73, 2]      (w:1, o:230, a:1, s:1, b:0), 
% 0.89/1.30  root  [76, 2]      (w:1, o:225, a:1, s:1, b:0), 
% 0.89/1.30  leaf  [105, 2]      (w:1, o:231, a:1, s:1, b:0), 
% 0.89/1.30  next_subocc  [111, 3]      (w:1, o:253, a:1, s:1, b:0), 
% 0.89/1.30  subactivity_occurrence  [118, 2]      (w:1, o:232, a:1, s:1, b:0), 
% 0.89/1.30  root_occ  [151, 2]      (w:1, o:226, a:1, s:1, b:0), 
% 0.89/1.30  leaf_occ  [155, 2]      (w:1, o:233, a:1, s:1, b:0), 
% 0.89/1.30  tptp0  [214, 0]      (w:1, o:177, a:1, s:1, b:0), 
% 0.89/1.30  tptp3  [218, 0]      (w:1, o:179, a:1, s:1, b:0), 
% 0.89/1.30  tptp4  [219, 0]      (w:1, o:180, a:1, s:1, b:0), 
% 0.89/1.30  tptp1  [220, 0]      (w:1, o:181, a:1, s:1, b:0), 
% 0.89/1.30  tptp2  [221, 0]      (w:1, o:178, a:1, s:1, b:0), 
% 0.89/1.30  alpha1  [227, 2]      (w:1, o:234, a:1, s:1, b:1), 
% 0.89/1.30  alpha2  [228, 3]      (w:1, o:254, a:1, s:1, b:1), 
% 0.89/1.30  alpha3  [229, 2]      (w:1, o:235, a:1, s:1, b:1), 
% 0.89/1.30  alpha4  [230, 3]      (w:1, o:255, a:1, s:1, b:1), 
% 0.89/1.30  alpha5  [231, 3]      (w:1, o:256, a:1, s:1, b:1), 
% 0.89/1.30  alpha6  [232, 4]      (w:1, o:260, a:1, s:1, b:1), 
% 0.89/1.30  alpha7  [233, 2]      (w:1, o:236, a:1, s:1, b:1), 
% 0.89/1.30  alpha8  [234, 1]      (w:1, o:192, a:1, s:1, b:1), 
% 0.89/1.30  alpha9  [235, 2]      (w:1, o:237, a:1, s:1, b:1), 
% 0.89/1.30  alpha10  [236, 1]      (w:1, o:193, a:1, s:1, b:1), 
% 0.89/1.30  alpha11  [237, 2]      (w:1, o:238, a:1, s:1, b:1), 
% 0.89/1.30  alpha12  [238, 2]      (w:1, o:239, a:1, s:1, b:1), 
% 0.89/1.30  alpha13  [239, 1]      (w:1, o:194, a:1, s:1, b:1), 
% 0.89/1.30  skol1  [240, 1]      (w:1, o:195, a:1, s:1, b:1), 
% 0.89/1.30  skol2  [241, 3]      (w:1, o:258, a:1, s:1, b:1), 
% 0.89/1.30  skol3  [242, 4]      (w:1, o:261, a:1, s:1, b:1), 
% 0.89/1.30  skol4  [243, 2]      (w:1, o:240, a:1, s:1, b:1), 
% 0.89/1.30  skol5  [244, 2]      (w:1, o:241, a:1, s:1, b:1), 
% 0.89/1.30  skol6  [245, 2]      (w:1, o:242, a:1, s:1, b:1), 
% 0.89/1.30  skol7  [246, 2]      (w:1, o:243, a:1, s:1, b:1), 
% 0.89/1.30  skol8  [247, 3]      (w:1, o:259, a:1, s:1, b:1), 
% 0.89/1.30  skol9  [248, 2]      (w:1, o:244, a:1, s:1, b:1), 
% 0.89/1.30  skol10  [249, 3]      (w:1, o:257, a:1, s:1, b:1), 
% 0.89/1.30  skol11  [250, 2]      (w:1, o:245, a:1, s:1, b:1), 
% 0.89/1.30  skol12  [251, 2]      (w:1, o:246, a:1, s:1, b:1), 
% 0.89/1.30  skol13  [252, 2]      (w:1, o:247, a:1, s:1, b:1), 
% 0.89/1.30  skol14  [253, 2]      (w:1, o:248, a:1, s:1, b:1), 
% 0.89/1.30  skol15  [254, 2]      (w:1, o:249, a:1, s:1, b:1), 
% 0.89/1.30  skol16  [255, 2]      (w:1, o:250, a:1, s:1, b:1), 
% 0.89/1.30  skol17  [256, 1]      (w:1, o:196, a:1, s:1, b:1), 
% 0.89/1.30  skol18  [257, 2]      (w:1, o:251, a:1, s:1, b:1), 
% 0.89/1.30  skol19  [258, 0]      (w:1, o:176, a:1, s:1, b:1), 
% 0.89/1.30  skol20  [259, 1]      (w:1, o:197, a:1, s:1, b:1), 
% 0.89/1.30  skol21  [260, 1]      (w:1, o:198, a:1, s:1, b:1), 
% 0.89/1.30  skol22  [261, 1]      (w:1, o:199, a:1, s:1, b:1).
% 0.89/1.30  
% 0.89/1.30  
% 0.89/1.30  Starting Search:
% 0.89/1.30  
% 0.89/1.30  *** allocated 15000 integers for clauses
% 0.89/1.30  *** allocated 22500 integers for clauses
% 0.89/1.30  *** allocated 33750 integers for clauses
% 0.89/1.30  *** allocated 15000 integers for termspace/termends
% 0.89/1.30  *** allocated 50625 integers for clauses
% 0.89/1.30  *** allocated 22500 integers for termspace/termends
% 0.89/1.30  Resimplifying inuse:
% 0.89/1.30  Done
% 0.89/1.30  
% 0.89/1.30  *** allocated 75937 integers for clauses
% 0.89/1.30  *** allocated 33750 integers for termspace/termends
% 0.89/1.30  *** allocated 113905 integers for clauses
% 0.89/1.30  
% 0.89/1.30  Intermediate Status:
% 0.89/1.30  Generated:    6736
% 0.89/1.30  Kept:         2060
% 0.89/1.30  Inuse:        341
% 0.89/1.30  Deleted:      21
% 0.89/1.30  Deletedinuse: 11
% 0.89/1.30  
% 0.89/1.30  Resimplifying inuse:
% 0.89/1.30  Done
% 0.89/1.30  
% 0.89/1.30  *** allocated 50625 integers for termspace/termends
% 0.89/1.30  *** allocated 170857 integers for clauses
% 0.89/1.30  *** allocated 75937 integers for termspace/termends
% 0.89/1.30  Resimplifying inuse:
% 0.89/1.30  Done
% 0.89/1.30  
% 0.89/1.30  
% 0.89/1.30  Intermediate Status:
% 0.89/1.30  Generated:    15724
% 0.89/1.30  Kept:         4065
% 0.89/1.30  Inuse:        482
% 0.89/1.30  Deleted:      32
% 0.89/1.30  Deletedinuse: 15
% 0.89/1.30  
% 0.89/1.30  Resimplifying inuse:
% 0.89/1.30  Done
% 0.89/1.30  
% 0.89/1.30  *** allocated 256285 integers for clauses
% 0.89/1.30  *** allocated 113905 integers for termspace/termends
% 0.89/1.30  
% 0.89/1.30  Bliksems!, er is een bewijs:
% 0.89/1.30  % SZS status Theorem
% 0.89/1.30  % SZS output start Refutation
% 0.89/1.30  
% 0.89/1.30  (9) {G0,W7,D2,L3,V2,M3} I { ! occurrence_of( X, Y ), ! arboreal( X ), 
% 0.89/1.30    atomic( Y ) }.
% 0.89/1.30  (91) {G0,W6,D2,L2,V3,M2} I { ! min_precedes( X, Y, Z ), arboreal( X ) }.
% 0.89/1.30  (96) {G0,W7,D3,L2,V1,M2} I { ! occurrence_of( X, tptp0 ), alpha11( X, 
% 0.89/1.30    skol22( X ) ) }.
% 0.89/1.30  (99) {G0,W8,D3,L2,V2,M2} I { ! alpha11( X, Y ), leaf_occ( skol18( X, Y ), X
% 0.89/1.30     ) }.
% 0.89/1.30  (111) {G0,W2,D2,L1,V0,M1} I { ! atomic( tptp0 ) }.
% 0.89/1.30  (122) {G0,W3,D2,L1,V0,M1} I { occurrence_of( skol19, tptp0 ) }.
% 0.89/1.30  (124) {G0,W8,D2,L3,V2,M3} I { ! leaf_occ( X, skol19 ), alpha12( X, Y ), 
% 0.89/1.30    alpha10( Y ) }.
% 0.89/1.30  (126) {G0,W5,D2,L2,V2,M2} I { ! alpha12( X, Y ), alpha8( Y ) }.
% 0.89/1.30  (129) {G0,W7,D3,L2,V1,M2} I { ! alpha10( X ), min_precedes( X, skol20( X )
% 0.89/1.30    , tptp0 ) }.
% 0.89/1.30  (132) {G0,W7,D3,L2,V1,M2} I { ! alpha8( X ), min_precedes( X, skol21( X ), 
% 0.89/1.30    tptp0 ) }.
% 0.89/1.30  (240) {G1,W2,D2,L1,V0,M1} R(9,122);r(111) { ! arboreal( skol19 ) }.
% 0.89/1.30  (244) {G2,W4,D2,L1,V2,M1} R(240,91) { ! min_precedes( skol19, X, Y ) }.
% 0.89/1.30  (3222) {G1,W4,D3,L1,V0,M1} R(96,122) { alpha11( skol19, skol22( skol19 ) )
% 0.89/1.30     }.
% 0.89/1.30  (3878) {G3,W2,D2,L1,V0,M1} R(129,244) { ! alpha10( skol19 ) }.
% 0.89/1.30  (4092) {G3,W2,D2,L1,V0,M1} R(132,244) { ! alpha8( skol19 ) }.
% 0.89/1.30  (4125) {G4,W3,D2,L1,V1,M1} R(4092,126) { ! alpha12( X, skol19 ) }.
% 0.89/1.30  (4132) {G5,W3,D2,L1,V1,M1} R(4125,124);r(3878) { ! leaf_occ( X, skol19 )
% 0.89/1.30     }.
% 0.89/1.30  (4133) {G6,W3,D2,L1,V1,M1} R(4132,99) { ! alpha11( skol19, X ) }.
% 0.89/1.30  (4186) {G7,W0,D0,L0,V0,M0} R(4133,3222) {  }.
% 0.89/1.30  
% 0.89/1.30  
% 0.89/1.30  % SZS output end Refutation
% 0.89/1.30  found a proof!
% 0.89/1.30  
% 0.89/1.30  
% 0.89/1.30  Unprocessed initial clauses:
% 0.89/1.30  
% 0.89/1.30  (4188) {G0,W5,D2,L2,V2,M2}  { ! occurrence_of( Y, X ), activity( X ) }.
% 0.89/1.30  (4189) {G0,W5,D2,L2,V2,M2}  { ! occurrence_of( Y, X ), activity_occurrence
% 0.89/1.30    ( Y ) }.
% 0.89/1.30  (4190) {G0,W5,D3,L2,V2,M2}  { ! activity_occurrence( X ), activity( skol1( 
% 0.89/1.30    Y ) ) }.
% 0.89/1.30  (4191) {G0,W6,D3,L2,V1,M2}  { ! activity_occurrence( X ), occurrence_of( X
% 0.89/1.30    , skol1( X ) ) }.
% 0.89/1.30  (4192) {G0,W9,D2,L3,V3,M3}  { ! occurrence_of( Z, X ), ! occurrence_of( Z, 
% 0.89/1.30    Y ), X = Y }.
% 0.89/1.30  (4193) {G0,W5,D2,L2,V1,M2}  { ! activity( X ), subactivity( X, X ) }.
% 0.89/1.30  (4194) {G0,W6,D2,L2,V2,M2}  { ! earlier( X, Y ), ! earlier( Y, X ) }.
% 0.89/1.30  (4195) {G0,W9,D2,L3,V3,M3}  { ! earlier( X, Z ), ! earlier( Z, Y ), earlier
% 0.89/1.30    ( X, Y ) }.
% 0.89/1.30  (4196) {G0,W15,D2,L5,V3,M5}  { ! earlier( X, Z ), ! earlier( Y, Z ), 
% 0.89/1.30    earlier( Y, X ), earlier( X, Y ), X = Y }.
% 0.89/1.30  (4197) {G0,W7,D2,L3,V2,M3}  { ! occurrence_of( X, Y ), ! arboreal( X ), 
% 0.89/1.30    atomic( Y ) }.
% 0.89/1.30  (4198) {G0,W7,D2,L3,V2,M3}  { ! occurrence_of( X, Y ), ! atomic( Y ), 
% 0.89/1.30    arboreal( X ) }.
% 0.89/1.30  (4199) {G0,W4,D2,L2,V1,M2}  { ! legal( X ), arboreal( X ) }.
% 0.89/1.30  (4200) {G0,W7,D2,L3,V2,M3}  { ! legal( Y ), ! earlier( X, Y ), legal( X )
% 0.89/1.30     }.
% 0.89/1.30  (4201) {G0,W6,D2,L2,V2,M2}  { ! precedes( X, Y ), earlier( X, Y ) }.
% 0.89/1.30  (4202) {G0,W5,D2,L2,V2,M2}  { ! precedes( X, Y ), legal( Y ) }.
% 0.89/1.30  (4203) {G0,W8,D2,L3,V2,M3}  { ! earlier( X, Y ), ! legal( Y ), precedes( X
% 0.89/1.30    , Y ) }.
% 0.89/1.30  (4204) {G0,W10,D3,L2,V5,M2}  { ! min_precedes( Y, Z, X ), subactivity( 
% 0.89/1.30    skol2( X, T, U ), X ) }.
% 0.89/1.30  (4205) {G0,W12,D3,L2,V3,M2}  { ! min_precedes( Y, Z, X ), alpha6( X, Y, Z, 
% 0.89/1.30    skol2( X, Y, Z ) ) }.
% 0.89/1.30  (4206) {G0,W12,D3,L2,V7,M2}  { ! alpha6( X, Y, Z, T ), atocc( Z, skol3( U, 
% 0.89/1.30    W, Z, V0 ) ) }.
% 0.89/1.30  (4207) {G0,W12,D3,L2,V6,M2}  { ! alpha6( X, Y, Z, T ), subactivity( skol3( 
% 0.89/1.30    X, U, Z, W ), X ) }.
% 0.89/1.30  (4208) {G0,W8,D2,L2,V4,M2}  { ! alpha6( X, Y, Z, T ), atocc( Y, T ) }.
% 0.89/1.30  (4209) {G0,W14,D2,L4,V5,M4}  { ! subactivity( U, X ), ! atocc( Y, T ), ! 
% 0.89/1.30    atocc( Z, U ), alpha6( X, Y, Z, T ) }.
% 0.89/1.30  (4210) {G0,W8,D3,L2,V3,M2}  { ! root( Y, X ), atocc( Y, skol4( Z, Y ) ) }.
% 0.89/1.30  (4211) {G0,W8,D3,L2,V2,M2}  { ! root( Y, X ), subactivity( skol4( X, Y ), X
% 0.89/1.30     ) }.
% 0.89/1.30  (4212) {G0,W9,D3,L2,V4,M2}  { ! min_precedes( Z, X, Y ), root( skol5( T, Y
% 0.89/1.30     ), Y ) }.
% 0.89/1.30  (4213) {G0,W10,D3,L2,V3,M2}  { ! min_precedes( Z, X, Y ), min_precedes( 
% 0.89/1.30    skol5( X, Y ), X, Y ) }.
% 0.89/1.30  (4214) {G0,W7,D2,L2,V3,M2}  { ! min_precedes( Z, X, Y ), ! root( X, Y ) }.
% 0.89/1.30  (4215) {G0,W7,D2,L2,V3,M2}  { ! min_precedes( X, Y, Z ), precedes( X, Y )
% 0.89/1.30     }.
% 0.89/1.30  (4216) {G0,W5,D2,L2,V2,M2}  { ! root( X, Y ), legal( X ) }.
% 0.89/1.30  (4217) {G0,W8,D2,L3,V2,M3}  { ! atocc( X, Y ), ! legal( X ), root( X, Y )
% 0.89/1.30     }.
% 0.89/1.30  (4218) {G0,W15,D2,L4,V4,M4}  { ! min_precedes( T, X, Z ), ! min_precedes( T
% 0.89/1.30    , Y, Z ), ! precedes( X, Y ), min_precedes( X, Y, Z ) }.
% 0.89/1.30  (4219) {G0,W6,D2,L2,V3,M2}  { ! min_precedes( Y, Z, X ), ! atomic( X ) }.
% 0.89/1.30  (4220) {G0,W15,D2,L4,V4,M4}  { ! min_precedes( X, T, Z ), ! min_precedes( Y
% 0.89/1.30    , T, Z ), ! precedes( X, Y ), min_precedes( X, Y, Z ) }.
% 0.89/1.30  (4221) {G0,W6,D2,L2,V2,M2}  { ! leaf( X, Y ), alpha1( X, Y ) }.
% 0.89/1.30  (4222) {G0,W7,D2,L2,V3,M2}  { ! leaf( X, Y ), ! min_precedes( X, Z, Y ) }.
% 0.89/1.30  (4223) {G0,W12,D3,L3,V2,M3}  { ! alpha1( X, Y ), min_precedes( X, skol6( X
% 0.89/1.30    , Y ), Y ), leaf( X, Y ) }.
% 0.89/1.30  (4224) {G0,W12,D3,L3,V2,M3}  { ! alpha1( X, Y ), root( X, Y ), min_precedes
% 0.89/1.30    ( skol7( X, Y ), X, Y ) }.
% 0.89/1.30  (4225) {G0,W6,D2,L2,V2,M2}  { ! root( X, Y ), alpha1( X, Y ) }.
% 0.89/1.30  (4226) {G0,W7,D2,L2,V3,M2}  { ! min_precedes( Z, X, Y ), alpha1( X, Y ) }.
% 0.89/1.30  (4227) {G0,W8,D2,L2,V3,M2}  { ! next_subocc( X, Y, Z ), min_precedes( X, Y
% 0.89/1.30    , Z ) }.
% 0.89/1.30  (4228) {G0,W8,D2,L2,V3,M2}  { ! next_subocc( X, Y, Z ), alpha2( X, Y, Z )
% 0.89/1.30     }.
% 0.89/1.30  (4229) {G0,W12,D2,L3,V3,M3}  { ! min_precedes( X, Y, Z ), ! alpha2( X, Y, Z
% 0.89/1.30     ), next_subocc( X, Y, Z ) }.
% 0.89/1.30  (4230) {G0,W12,D2,L3,V4,M3}  { ! alpha2( X, Y, Z ), ! min_precedes( X, T, Z
% 0.89/1.30     ), ! min_precedes( T, Y, Z ) }.
% 0.89/1.30  (4231) {G0,W11,D3,L2,V4,M2}  { min_precedes( skol8( T, Y, Z ), Y, Z ), 
% 0.89/1.30    alpha2( X, Y, Z ) }.
% 0.89/1.30  (4232) {G0,W11,D3,L2,V3,M2}  { min_precedes( X, skol8( X, Y, Z ), Z ), 
% 0.89/1.30    alpha2( X, Y, Z ) }.
% 0.89/1.30  (4233) {G0,W8,D3,L2,V3,M2}  { ! atocc( X, Y ), subactivity( Y, skol9( Z, Y
% 0.89/1.30     ) ) }.
% 0.89/1.30  (4234) {G0,W8,D3,L2,V2,M2}  { ! atocc( X, Y ), alpha3( X, skol9( X, Y ) )
% 0.89/1.30     }.
% 0.89/1.30  (4235) {G0,W9,D2,L3,V3,M3}  { ! subactivity( Y, Z ), ! alpha3( X, Z ), 
% 0.89/1.30    atocc( X, Y ) }.
% 0.89/1.30  (4236) {G0,W5,D2,L2,V2,M2}  { ! alpha3( X, Y ), atomic( Y ) }.
% 0.89/1.30  (4237) {G0,W6,D2,L2,V2,M2}  { ! alpha3( X, Y ), occurrence_of( X, Y ) }.
% 0.89/1.30  (4238) {G0,W8,D2,L3,V2,M3}  { ! atomic( Y ), ! occurrence_of( X, Y ), 
% 0.89/1.30    alpha3( X, Y ) }.
% 0.89/1.30  (4239) {G0,W5,D2,L2,V2,M2}  { ! subactivity_occurrence( X, Y ), 
% 0.89/1.30    activity_occurrence( X ) }.
% 0.89/1.30  (4240) {G0,W5,D2,L2,V2,M2}  { ! subactivity_occurrence( X, Y ), 
% 0.89/1.30    activity_occurrence( Y ) }.
% 0.89/1.30  (4241) {G0,W10,D3,L2,V5,M2}  { ! min_precedes( Y, Z, X ), 
% 0.89/1.30    subactivity_occurrence( Z, skol10( T, U, Z ) ) }.
% 0.89/1.30  (4242) {G0,W10,D3,L2,V4,M2}  { ! min_precedes( Y, Z, X ), 
% 0.89/1.30    subactivity_occurrence( Y, skol10( T, Y, Z ) ) }.
% 0.89/1.30  (4243) {G0,W10,D3,L2,V3,M2}  { ! min_precedes( Y, Z, X ), occurrence_of( 
% 0.89/1.30    skol10( X, Y, Z ), X ) }.
% 0.89/1.30  (4244) {G0,W10,D3,L3,V3,M3}  { ! root( Y, X ), atomic( X ), 
% 0.89/1.30    subactivity_occurrence( Y, skol11( Z, Y ) ) }.
% 0.89/1.30  (4245) {G0,W10,D3,L3,V2,M3}  { ! root( Y, X ), atomic( X ), occurrence_of( 
% 0.89/1.30    skol11( X, Y ), X ) }.
% 0.89/1.30  (4246) {G0,W10,D3,L3,V3,M3}  { ! occurrence_of( Y, X ), atomic( X ), 
% 0.89/1.30    subactivity_occurrence( skol12( Z, Y ), Y ) }.
% 0.89/1.30  (4247) {G0,W10,D3,L3,V2,M3}  { ! occurrence_of( Y, X ), atomic( X ), root( 
% 0.89/1.30    skol12( X, Y ), X ) }.
% 0.89/1.30  (4248) {G0,W24,D2,L8,V4,M8}  { ! occurrence_of( T, X ), ! arboreal( Y ), ! 
% 0.89/1.30    arboreal( Z ), ! subactivity_occurrence( Y, T ), ! subactivity_occurrence
% 0.89/1.30    ( Z, T ), min_precedes( Y, Z, X ), min_precedes( Z, Y, X ), Y = Z }.
% 0.89/1.30  (4249) {G0,W13,D2,L4,V4,M4}  { ! min_precedes( X, Z, T ), ! occurrence_of( 
% 0.89/1.30    Y, T ), ! subactivity_occurrence( Z, Y ), subactivity_occurrence( X, Y )
% 0.89/1.30     }.
% 0.89/1.30  (4250) {G0,W14,D2,L5,V4,M5}  { ! occurrence_of( Z, X ), ! occurrence_of( T
% 0.89/1.30    , Y ), atomic( X ), ! subactivity_occurrence( Z, T ), subactivity( X, Y )
% 0.89/1.30     }.
% 0.89/1.30  (4251) {G0,W9,D2,L3,V3,M3}  { ! subactivity_occurrence( X, Z ), ! 
% 0.89/1.30    subactivity_occurrence( Z, Y ), subactivity_occurrence( X, Y ) }.
% 0.89/1.30  (4252) {G0,W17,D3,L5,V5,M5}  { ! occurrence_of( X, Z ), ! occurrence_of( Y
% 0.89/1.30    , T ), ! subactivity( Z, T ), subactivity_occurrence( X, Y ), 
% 0.89/1.30    subactivity_occurrence( skol13( U, Y ), Y ) }.
% 0.89/1.30  (4253) {G0,W17,D3,L5,V4,M5}  { ! occurrence_of( X, Z ), ! occurrence_of( Y
% 0.89/1.30    , T ), ! subactivity( Z, T ), subactivity_occurrence( X, Y ), ! 
% 0.89/1.30    subactivity_occurrence( skol13( X, Y ), X ) }.
% 0.89/1.30  (4254) {G0,W8,D3,L2,V3,M2}  { ! root_occ( X, Y ), occurrence_of( Y, skol14
% 0.89/1.30    ( Z, Y ) ) }.
% 0.89/1.30  (4255) {G0,W9,D3,L2,V2,M2}  { ! root_occ( X, Y ), alpha4( X, Y, skol14( X, 
% 0.89/1.30    Y ) ) }.
% 0.89/1.30  (4256) {G0,W10,D2,L3,V3,M3}  { ! occurrence_of( Y, Z ), ! alpha4( X, Y, Z )
% 0.89/1.30    , root_occ( X, Y ) }.
% 0.89/1.30  (4257) {G0,W7,D2,L2,V3,M2}  { ! alpha4( X, Y, Z ), subactivity_occurrence( 
% 0.89/1.30    X, Y ) }.
% 0.89/1.30  (4258) {G0,W7,D2,L2,V3,M2}  { ! alpha4( X, Y, Z ), root( X, Z ) }.
% 0.89/1.30  (4259) {G0,W10,D2,L3,V3,M3}  { ! subactivity_occurrence( X, Y ), ! root( X
% 0.89/1.30    , Z ), alpha4( X, Y, Z ) }.
% 0.89/1.30  (4260) {G0,W8,D3,L2,V3,M2}  { ! leaf_occ( X, Y ), occurrence_of( Y, skol15
% 0.89/1.30    ( Z, Y ) ) }.
% 0.89/1.30  (4261) {G0,W9,D3,L2,V2,M2}  { ! leaf_occ( X, Y ), alpha5( X, Y, skol15( X, 
% 0.89/1.30    Y ) ) }.
% 0.89/1.30  (4262) {G0,W10,D2,L3,V3,M3}  { ! occurrence_of( Y, Z ), ! alpha5( X, Y, Z )
% 0.89/1.30    , leaf_occ( X, Y ) }.
% 0.89/1.30  (4263) {G0,W7,D2,L2,V3,M2}  { ! alpha5( X, Y, Z ), subactivity_occurrence( 
% 0.89/1.30    X, Y ) }.
% 0.89/1.30  (4264) {G0,W7,D2,L2,V3,M2}  { ! alpha5( X, Y, Z ), leaf( X, Z ) }.
% 0.89/1.30  (4265) {G0,W10,D2,L3,V3,M3}  { ! subactivity_occurrence( X, Y ), ! leaf( X
% 0.89/1.30    , Z ), alpha5( X, Y, Z ) }.
% 0.89/1.30  (4266) {G0,W12,D2,L4,V4,M4}  { ! occurrence_of( Z, T ), ! root_occ( X, Z )
% 0.89/1.30    , ! root_occ( Y, Z ), X = Y }.
% 0.89/1.30  (4267) {G0,W14,D2,L5,V4,M5}  { ! occurrence_of( Z, T ), atomic( T ), ! 
% 0.89/1.30    leaf_occ( X, Z ), ! leaf_occ( Y, Z ), X = Y }.
% 0.89/1.30  (4268) {G0,W10,D2,L3,V4,M3}  { ! occurrence_of( Z, Y ), ! leaf_occ( X, Z )
% 0.89/1.30    , ! min_precedes( X, T, Y ) }.
% 0.89/1.30  (4269) {G0,W10,D2,L3,V4,M3}  { ! occurrence_of( Z, Y ), ! root_occ( X, Z )
% 0.89/1.30    , ! min_precedes( T, X, Y ) }.
% 0.89/1.30  (4270) {G0,W20,D2,L6,V5,M6}  { ! next_subocc( Z, X, T ), ! next_subocc( Z, 
% 0.89/1.30    Y, T ), ! occurrence_of( U, T ), ! subactivity_occurrence( Y, U ), ! 
% 0.89/1.30    subactivity_occurrence( X, U ), X = Y }.
% 0.89/1.30  (4271) {G0,W11,D2,L3,V4,M3}  { ! next_subocc( X, Z, T ), ! next_subocc( Y, 
% 0.89/1.30    Z, T ), X = Y }.
% 0.89/1.30  (4272) {G0,W16,D2,L5,V4,M5}  { ! occurrence_of( T, Z ), ! leaf_occ( X, T )
% 0.89/1.30    , ! root_occ( Y, T ), X = Y, min_precedes( Y, X, Z ) }.
% 0.89/1.30  (4273) {G0,W18,D2,L6,V4,M6}  { ! occurrence_of( T, Z ), ! 
% 0.89/1.30    subactivity_occurrence( X, T ), ! root_occ( Y, T ), ! arboreal( X ), 
% 0.89/1.30    min_precedes( Y, X, Z ), Y = X }.
% 0.89/1.30  (4274) {G0,W18,D2,L6,V4,M6}  { ! occurrence_of( T, Z ), ! 
% 0.89/1.30    subactivity_occurrence( X, T ), ! leaf_occ( Y, T ), ! arboreal( X ), 
% 0.89/1.30    min_precedes( X, Y, Z ), Y = X }.
% 0.89/1.30  (4275) {G0,W6,D2,L2,V3,M2}  { ! next_subocc( X, Y, Z ), arboreal( X ) }.
% 0.89/1.30  (4276) {G0,W6,D2,L2,V3,M2}  { ! next_subocc( X, Y, Z ), arboreal( Y ) }.
% 0.89/1.30  (4277) {G0,W10,D3,L3,V3,M3}  { ! leaf( X, Y ), atomic( Y ), occurrence_of( 
% 0.89/1.30    skol16( Z, Y ), Y ) }.
% 0.89/1.30  (4278) {G0,W10,D3,L3,V2,M3}  { ! leaf( X, Y ), atomic( Y ), leaf_occ( X, 
% 0.89/1.30    skol16( X, Y ) ) }.
% 0.89/1.30  (4279) {G0,W6,D2,L2,V3,M2}  { ! min_precedes( X, Y, Z ), arboreal( X ) }.
% 0.89/1.30  (4280) {G0,W23,D2,L7,V5,M7}  { ! occurrence_of( T, X ), ! root_occ( Z, T )
% 0.89/1.30    , ! leaf_occ( U, T ), ! subactivity_occurrence( Y, T ), ! min_precedes( Y
% 0.89/1.30    , U, X ), Y = Z, min_precedes( Z, Y, X ) }.
% 0.89/1.30  (4281) {G0,W23,D2,L7,V5,M7}  { ! occurrence_of( T, X ), ! root_occ( U, T )
% 0.89/1.30    , ! leaf_occ( Z, T ), ! subactivity_occurrence( Y, T ), ! min_precedes( U
% 0.89/1.30    , Y, X ), Y = Z, min_precedes( Y, Z, X ) }.
% 0.89/1.30  (4282) {G0,W7,D3,L2,V1,M2}  { ! occurrence_of( X, tptp0 ), alpha7( X, 
% 0.89/1.30    skol17( X ) ) }.
% 0.89/1.30  (4283) {G0,W8,D3,L2,V1,M2}  { ! occurrence_of( X, tptp0 ), alpha9( skol17( 
% 0.89/1.30    X ), skol22( X ) ) }.
% 0.89/1.30  (4284) {G0,W7,D3,L2,V1,M2}  { ! occurrence_of( X, tptp0 ), alpha11( X, 
% 0.89/1.30    skol22( X ) ) }.
% 0.89/1.30  (4285) {G0,W7,D3,L2,V4,M2}  { ! alpha11( X, Y ), alpha13( skol18( Z, T ) )
% 0.89/1.30     }.
% 0.89/1.30  (4286) {G0,W9,D3,L2,V3,M2}  { ! alpha11( X, Y ), next_subocc( Y, skol18( Z
% 0.89/1.30    , Y ), tptp0 ) }.
% 0.89/1.30  (4287) {G0,W8,D3,L2,V2,M2}  { ! alpha11( X, Y ), leaf_occ( skol18( X, Y ), 
% 0.89/1.30    X ) }.
% 0.89/1.30  (4288) {G0,W12,D2,L4,V3,M4}  { ! alpha13( Z ), ! next_subocc( Y, Z, tptp0 )
% 0.89/1.30    , ! leaf_occ( Z, X ), alpha11( X, Y ) }.
% 0.89/1.30  (4289) {G0,W8,D2,L3,V1,M3}  { ! alpha13( X ), occurrence_of( X, tptp1 ), 
% 0.89/1.30    occurrence_of( X, tptp2 ) }.
% 0.89/1.30  (4290) {G0,W5,D2,L2,V1,M2}  { ! occurrence_of( X, tptp1 ), alpha13( X ) }.
% 0.89/1.30  (4291) {G0,W5,D2,L2,V1,M2}  { ! occurrence_of( X, tptp2 ), alpha13( X ) }.
% 0.89/1.30  (4292) {G0,W6,D2,L2,V2,M2}  { ! alpha9( X, Y ), occurrence_of( Y, tptp4 )
% 0.89/1.30     }.
% 0.89/1.30  (4293) {G0,W7,D2,L2,V2,M2}  { ! alpha9( X, Y ), next_subocc( X, Y, tptp0 )
% 0.89/1.30     }.
% 0.89/1.30  (4294) {G0,W10,D2,L3,V2,M3}  { ! occurrence_of( Y, tptp4 ), ! next_subocc( 
% 0.89/1.30    X, Y, tptp0 ), alpha9( X, Y ) }.
% 0.89/1.30  (4295) {G0,W6,D2,L2,V2,M2}  { ! alpha7( X, Y ), occurrence_of( Y, tptp3 )
% 0.89/1.30     }.
% 0.89/1.30  (4296) {G0,W6,D2,L2,V2,M2}  { ! alpha7( X, Y ), root_occ( Y, X ) }.
% 0.89/1.30  (4297) {G0,W9,D2,L3,V2,M3}  { ! occurrence_of( Y, tptp3 ), ! root_occ( Y, X
% 0.89/1.30     ), alpha7( X, Y ) }.
% 0.89/1.30  (4298) {G0,W2,D2,L1,V0,M1}  { activity( tptp0 ) }.
% 0.89/1.30  (4299) {G0,W2,D2,L1,V0,M1}  { ! atomic( tptp0 ) }.
% 0.89/1.30  (4300) {G0,W2,D2,L1,V0,M1}  { atomic( tptp4 ) }.
% 0.89/1.30  (4301) {G0,W2,D2,L1,V0,M1}  { atomic( tptp1 ) }.
% 0.89/1.30  (4302) {G0,W2,D2,L1,V0,M1}  { atomic( tptp2 ) }.
% 0.89/1.30  (4303) {G0,W2,D2,L1,V0,M1}  { atomic( tptp3 ) }.
% 0.89/1.30  (4304) {G0,W3,D2,L1,V0,M1}  { ! tptp4 = tptp3 }.
% 0.89/1.30  (4305) {G0,W3,D2,L1,V0,M1}  { ! tptp4 = tptp1 }.
% 0.89/1.30  (4306) {G0,W3,D2,L1,V0,M1}  { ! tptp4 = tptp2 }.
% 0.89/1.30  (4307) {G0,W3,D2,L1,V0,M1}  { ! tptp3 = tptp1 }.
% 0.89/1.30  (4308) {G0,W3,D2,L1,V0,M1}  { ! tptp3 = tptp2 }.
% 0.89/1.30  (4309) {G0,W3,D2,L1,V0,M1}  { ! tptp1 = tptp2 }.
% 0.89/1.30  (4310) {G0,W3,D2,L1,V0,M1}  { occurrence_of( skol19, tptp0 ) }.
% 0.89/1.30  (4311) {G0,W9,D2,L3,V2,M3}  { ! leaf_occ( X, skol19 ), alpha12( X, Y ), 
% 0.89/1.30    occurrence_of( X, tptp2 ) }.
% 0.89/1.30  (4312) {G0,W8,D2,L3,V2,M3}  { ! leaf_occ( X, skol19 ), alpha12( X, Y ), 
% 0.89/1.30    alpha10( Y ) }.
% 0.89/1.30  (4313) {G0,W6,D2,L2,V2,M2}  { ! alpha12( X, Y ), occurrence_of( X, tptp1 )
% 0.89/1.30     }.
% 0.89/1.30  (4314) {G0,W5,D2,L2,V2,M2}  { ! alpha12( X, Y ), alpha8( Y ) }.
% 0.89/1.30  (4315) {G0,W8,D2,L3,V2,M3}  { ! occurrence_of( X, tptp1 ), ! alpha8( Y ), 
% 0.89/1.30    alpha12( X, Y ) }.
% 0.89/1.30  (4316) {G0,W6,D3,L2,V2,M2}  { ! alpha10( X ), occurrence_of( skol20( Y ), 
% 0.89/1.30    tptp1 ) }.
% 0.89/1.30  (4317) {G0,W7,D3,L2,V1,M2}  { ! alpha10( X ), min_precedes( X, skol20( X )
% 0.89/1.30    , tptp0 ) }.
% 0.89/1.30  (4318) {G0,W9,D2,L3,V2,M3}  { ! occurrence_of( Y, tptp1 ), ! min_precedes( 
% 0.89/1.30    X, Y, tptp0 ), alpha10( X ) }.
% 0.89/1.30  (4319) {G0,W6,D3,L2,V2,M2}  { ! alpha8( X ), occurrence_of( skol21( Y ), 
% 0.89/1.30    tptp2 ) }.
% 0.89/1.30  (4320) {G0,W7,D3,L2,V1,M2}  { ! alpha8( X ), min_precedes( X, skol21( X ), 
% 0.89/1.30    tptp0 ) }.
% 0.89/1.30  (4321) {G0,W9,D2,L3,V2,M3}  { ! occurrence_of( Y, tptp2 ), ! min_precedes( 
% 0.89/1.30    X, Y, tptp0 ), alpha8( X ) }.
% 0.89/1.30  
% 0.89/1.30  
% 0.89/1.30  Total Proof:
% 0.89/1.30  
% 0.89/1.30  subsumption: (9) {G0,W7,D2,L3,V2,M3} I { ! occurrence_of( X, Y ), ! 
% 0.89/1.30    arboreal( X ), atomic( Y ) }.
% 0.89/1.30  parent0: (4197) {G0,W7,D2,L3,V2,M3}  { ! occurrence_of( X, Y ), ! arboreal
% 0.89/1.30    ( X ), atomic( Y ) }.
% 0.89/1.30  substitution0:
% 0.89/1.30     X := X
% 0.89/1.30     Y := Y
% 0.89/1.30  end
% 0.89/1.30  permutation0:
% 0.89/1.30     0 ==> 0
% 0.89/1.30     1 ==> 1
% 0.89/1.30     2 ==> 2
% 0.89/1.30  end
% 0.89/1.30  
% 0.89/1.30  subsumption: (91) {G0,W6,D2,L2,V3,M2} I { ! min_precedes( X, Y, Z ), 
% 0.89/1.30    arboreal( X ) }.
% 0.89/1.30  parent0: (4279) {G0,W6,D2,L2,V3,M2}  { ! min_precedes( X, Y, Z ), arboreal
% 0.89/1.30    ( X ) }.
% 0.89/1.30  substitution0:
% 0.89/1.30     X := X
% 0.89/1.30     Y := Y
% 0.89/1.30     Z := Z
% 0.89/1.30  end
% 0.89/1.30  permutation0:
% 0.89/1.30     0 ==> 0
% 0.89/1.30     1 ==> 1
% 0.89/1.30  end
% 0.89/1.30  
% 0.89/1.30  subsumption: (96) {G0,W7,D3,L2,V1,M2} I { ! occurrence_of( X, tptp0 ), 
% 0.89/1.30    alpha11( X, skol22( X ) ) }.
% 0.89/1.30  parent0: (4284) {G0,W7,D3,L2,V1,M2}  { ! occurrence_of( X, tptp0 ), alpha11
% 0.89/1.30    ( X, skol22( X ) ) }.
% 0.89/1.30  substitution0:
% 0.89/1.30     X := X
% 0.89/1.30  end
% 0.89/1.30  permutation0:
% 0.89/1.30     0 ==> 0
% 0.89/1.30     1 ==> 1
% 0.89/1.30  end
% 0.89/1.30  
% 0.89/1.30  subsumption: (99) {G0,W8,D3,L2,V2,M2} I { ! alpha11( X, Y ), leaf_occ( 
% 0.89/1.30    skol18( X, Y ), X ) }.
% 0.89/1.30  parent0: (4287) {G0,W8,D3,L2,V2,M2}  { ! alpha11( X, Y ), leaf_occ( skol18
% 0.89/1.30    ( X, Y ), X ) }.
% 0.89/1.30  substitution0:
% 0.89/1.30     X := X
% 0.89/1.30     Y := Y
% 0.89/1.30  end
% 0.89/1.30  permutation0:
% 0.89/1.30     0 ==> 0
% 0.89/1.30     1 ==> 1
% 0.89/1.30  end
% 0.89/1.30  
% 0.89/1.30  subsumption: (111) {G0,W2,D2,L1,V0,M1} I { ! atomic( tptp0 ) }.
% 0.89/1.30  parent0: (4299) {G0,W2,D2,L1,V0,M1}  { ! atomic( tptp0 ) }.
% 0.89/1.30  substitution0:
% 0.89/1.30  end
% 0.89/1.30  permutation0:
% 0.89/1.30     0 ==> 0
% 0.89/1.30  end
% 0.89/1.30  
% 0.89/1.30  subsumption: (122) {G0,W3,D2,L1,V0,M1} I { occurrence_of( skol19, tptp0 )
% 0.89/1.30     }.
% 0.89/1.30  parent0: (4310) {G0,W3,D2,L1,V0,M1}  { occurrence_of( skol19, tptp0 ) }.
% 0.89/1.30  substitution0:
% 0.89/1.30  end
% 0.89/1.30  permutation0:
% 0.89/1.30     0 ==> 0
% 0.89/1.30  end
% 0.89/1.30  
% 0.89/1.30  subsumption: (124) {G0,W8,D2,L3,V2,M3} I { ! leaf_occ( X, skol19 ), alpha12
% 0.89/1.30    ( X, Y ), alpha10( Y ) }.
% 0.89/1.30  parent0: (4312) {G0,W8,D2,L3,V2,M3}  { ! leaf_occ( X, skol19 ), alpha12( X
% 0.89/1.30    , Y ), alpha10( Y ) }.
% 0.89/1.30  substitution0:
% 0.89/1.30     X := X
% 0.89/1.30     Y := Y
% 0.89/1.30  end
% 0.89/1.30  permutation0:
% 0.89/1.30     0 ==> 0
% 0.89/1.30     1 ==> 1
% 0.89/1.30     2 ==> 2
% 0.89/1.30  end
% 0.89/1.30  
% 0.89/1.30  subsumption: (126) {G0,W5,D2,L2,V2,M2} I { ! alpha12( X, Y ), alpha8( Y )
% 0.89/1.30     }.
% 0.89/1.30  parent0: (4314) {G0,W5,D2,L2,V2,M2}  { ! alpha12( X, Y ), alpha8( Y ) }.
% 0.89/1.30  substitution0:
% 0.89/1.30     X := X
% 0.89/1.30     Y := Y
% 0.89/1.30  end
% 0.89/1.30  permutation0:
% 0.89/1.30     0 ==> 0
% 0.89/1.30     1 ==> 1
% 0.89/1.30  end
% 0.89/1.30  
% 0.89/1.30  subsumption: (129) {G0,W7,D3,L2,V1,M2} I { ! alpha10( X ), min_precedes( X
% 0.89/1.30    , skol20( X ), tptp0 ) }.
% 0.89/1.30  parent0: (4317) {G0,W7,D3,L2,V1,M2}  { ! alpha10( X ), min_precedes( X, 
% 0.89/1.30    skol20( X ), tptp0 ) }.
% 0.89/1.30  substitution0:
% 0.89/1.30     X := X
% 0.89/1.30  end
% 0.89/1.30  permutation0:
% 0.89/1.30     0 ==> 0
% 0.89/1.30     1 ==> 1
% 0.89/1.30  end
% 0.89/1.30  
% 0.89/1.30  subsumption: (132) {G0,W7,D3,L2,V1,M2} I { ! alpha8( X ), min_precedes( X, 
% 0.89/1.30    skol21( X ), tptp0 ) }.
% 0.89/1.30  parent0: (4320) {G0,W7,D3,L2,V1,M2}  { ! alpha8( X ), min_precedes( X, 
% 0.89/1.30    skol21( X ), tptp0 ) }.
% 0.89/1.30  substitution0:
% 0.89/1.30     X := X
% 0.89/1.30  end
% 0.89/1.30  permutation0:
% 0.89/1.30     0 ==> 0
% 0.89/1.30     1 ==> 1
% 0.89/1.30  end
% 0.89/1.30  
% 0.89/1.30  resolution: (4625) {G1,W4,D2,L2,V0,M2}  { ! arboreal( skol19 ), atomic( 
% 0.89/1.30    tptp0 ) }.
% 0.89/1.30  parent0[0]: (9) {G0,W7,D2,L3,V2,M3} I { ! occurrence_of( X, Y ), ! arboreal
% 0.89/1.30    ( X ), atomic( Y ) }.
% 0.89/1.30  parent1[0]: (122) {G0,W3,D2,L1,V0,M1} I { occurrence_of( skol19, tptp0 )
% 0.89/1.30     }.
% 0.89/1.30  substitution0:
% 0.89/1.30     X := skol19
% 0.89/1.30     Y := tptp0
% 0.89/1.30  end
% 0.89/1.30  substitution1:
% 0.89/1.30  end
% 0.89/1.30  
% 0.89/1.30  resolution: (4626) {G1,W2,D2,L1,V0,M1}  { ! arboreal( skol19 ) }.
% 0.89/1.30  parent0[0]: (111) {G0,W2,D2,L1,V0,M1} I { ! atomic( tptp0 ) }.
% 0.89/1.30  parent1[1]: (4625) {G1,W4,D2,L2,V0,M2}  { ! arboreal( skol19 ), atomic( 
% 0.89/1.30    tptp0 ) }.
% 0.89/1.30  substitution0:
% 0.89/1.30  end
% 0.89/1.30  substitution1:
% 0.89/1.30  end
% 0.89/1.30  
% 0.89/1.30  subsumption: (240) {G1,W2,D2,L1,V0,M1} R(9,122);r(111) { ! arboreal( skol19
% 0.89/1.30     ) }.
% 0.89/1.30  parent0: (4626) {G1,W2,D2,L1,V0,M1}  { ! arboreal( skol19 ) }.
% 0.89/1.30  substitution0:
% 0.89/1.30  end
% 0.89/1.30  permutation0:
% 0.89/1.30     0 ==> 0
% 0.89/1.30  end
% 0.89/1.30  
% 0.89/1.30  resolution: (4627) {G1,W4,D2,L1,V2,M1}  { ! min_precedes( skol19, X, Y )
% 0.89/1.30     }.
% 0.89/1.30  parent0[0]: (240) {G1,W2,D2,L1,V0,M1} R(9,122);r(111) { ! arboreal( skol19
% 0.89/1.30     ) }.
% 0.89/1.30  parent1[1]: (91) {G0,W6,D2,L2,V3,M2} I { ! min_precedes( X, Y, Z ), 
% 0.89/1.30    arboreal( X ) }.
% 0.89/1.30  substitution0:
% 0.89/1.30  end
% 0.89/1.30  substitution1:
% 0.89/1.30     X := skol19
% 0.89/1.30     Y := X
% 0.89/1.30     Z := Y
% 0.89/1.30  end
% 0.89/1.30  
% 0.89/1.30  subsumption: (244) {G2,W4,D2,L1,V2,M1} R(240,91) { ! min_precedes( skol19, 
% 0.89/1.30    X, Y ) }.
% 0.89/1.30  parent0: (4627) {G1,W4,D2,L1,V2,M1}  { ! min_precedes( skol19, X, Y ) }.
% 0.89/1.30  substitution0:
% 0.89/1.30     X := X
% 0.89/1.30     Y := Y
% 0.89/1.30  end
% 0.89/1.30  permutation0:
% 0.89/1.30     0 ==> 0
% 0.89/1.30  end
% 0.89/1.30  
% 0.89/1.30  resolution: (4628) {G1,W4,D3,L1,V0,M1}  { alpha11( skol19, skol22( skol19 )
% 0.89/1.30     ) }.
% 0.89/1.30  parent0[0]: (96) {G0,W7,D3,L2,V1,M2} I { ! occurrence_of( X, tptp0 ), 
% 0.89/1.30    alpha11( X, skol22( X ) ) }.
% 0.89/1.30  parent1[0]: (122) {G0,W3,D2,L1,V0,M1} I { occurrence_of( skol19, tptp0 )
% 0.89/1.30     }.
% 0.89/1.30  substitution0:
% 0.89/1.30     X := skol19
% 0.89/1.30  end
% 0.89/1.30  substitution1:
% 0.89/1.30  end
% 0.89/1.30  
% 0.89/1.30  subsumption: (3222) {G1,W4,D3,L1,V0,M1} R(96,122) { alpha11( skol19, skol22
% 0.89/1.30    ( skol19 ) ) }.
% 0.89/1.30  parent0: (4628) {G1,W4,D3,L1,V0,M1}  { alpha11( skol19, skol22( skol19 ) )
% 0.89/1.30     }.
% 0.89/1.30  substitution0:
% 0.89/1.30  end
% 0.89/1.30  permutation0:
% 0.89/1.30     0 ==> 0
% 0.89/1.30  end
% 0.89/1.30  
% 0.89/1.30  resolution: (4629) {G1,W2,D2,L1,V0,M1}  { ! alpha10( skol19 ) }.
% 0.89/1.30  parent0[0]: (244) {G2,W4,D2,L1,V2,M1} R(240,91) { ! min_precedes( skol19, X
% 0.89/1.30    , Y ) }.
% 0.89/1.30  parent1[1]: (129) {G0,W7,D3,L2,V1,M2} I { ! alpha10( X ), min_precedes( X, 
% 0.89/1.30    skol20( X ), tptp0 ) }.
% 0.89/1.30  substitution0:
% 0.89/1.30     X := skol20( skol19 )
% 0.89/1.30     Y := tptp0
% 0.89/1.30  end
% 0.89/1.30  substitution1:
% 0.89/1.30     X := skol19
% 0.89/1.30  end
% 0.89/1.30  
% 0.89/1.30  subsumption: (3878) {G3,W2,D2,L1,V0,M1} R(129,244) { ! alpha10( skol19 )
% 0.89/1.30     }.
% 0.89/1.30  parent0: (4629) {G1,W2,D2,L1,V0,M1}  { ! alpha10( skol19 ) }.
% 0.89/1.30  substitution0:
% 0.89/1.30  end
% 0.89/1.30  permutation0:
% 0.89/1.30     0 ==> 0
% 0.89/1.30  end
% 0.89/1.30  
% 0.89/1.30  resolution: (4630) {G1,W2,D2,L1,V0,M1}  { ! alpha8( skol19 ) }.
% 0.89/1.30  parent0[0]: (244) {G2,W4,D2,L1,V2,M1} R(240,91) { ! min_precedes( skol19, X
% 0.89/1.30    , Y ) }.
% 0.89/1.30  parent1[1]: (132) {G0,W7,D3,L2,V1,M2} I { ! alpha8( X ), min_precedes( X, 
% 0.89/1.30    skol21( X ), tptp0 ) }.
% 0.89/1.30  substitution0:
% 0.89/1.30     X := skol21( skol19 )
% 0.89/1.30     Y := tptp0
% 0.89/1.30  end
% 0.89/1.30  substitution1:
% 0.89/1.30     X := skol19
% 0.89/1.30  end
% 0.89/1.30  
% 0.89/1.30  subsumption: (4092) {G3,W2,D2,L1,V0,M1} R(132,244) { ! alpha8( skol19 ) }.
% 0.89/1.30  parent0: (4630) {G1,W2,D2,L1,V0,M1}  { ! alpha8( skol19 ) }.
% 0.89/1.30  substitution0:
% 0.89/1.30  end
% 0.89/1.30  permutation0:
% 0.89/1.30     0 ==> 0
% 0.89/1.30  end
% 0.89/1.30  
% 0.89/1.30  resolution: (4631) {G1,W3,D2,L1,V1,M1}  { ! alpha12( X, skol19 ) }.
% 0.89/1.30  parent0[0]: (4092) {G3,W2,D2,L1,V0,M1} R(132,244) { ! alpha8( skol19 ) }.
% 0.89/1.30  parent1[1]: (126) {G0,W5,D2,L2,V2,M2} I { ! alpha12( X, Y ), alpha8( Y )
% 0.89/1.30     }.
% 0.89/1.30  substitution0:
% 0.89/1.30  end
% 0.89/1.30  substitution1:
% 0.89/1.30     X := X
% 0.89/1.30     Y := skol19
% 0.89/1.30  end
% 0.89/1.30  
% 0.89/1.30  subsumption: (4125) {G4,W3,D2,L1,V1,M1} R(4092,126) { ! alpha12( X, skol19
% 0.89/1.30     ) }.
% 0.89/1.30  parent0: (4631) {G1,W3,D2,L1,V1,M1}  { ! alpha12( X, skol19 ) }.
% 0.89/1.30  substitution0:
% 0.89/1.30     X := X
% 0.89/1.30  end
% 0.89/1.30  permutation0:
% 0.89/1.30     0 ==> 0
% 0.89/1.30  end
% 0.89/1.30  
% 0.89/1.30  resolution: (4632) {G1,W5,D2,L2,V1,M2}  { ! leaf_occ( X, skol19 ), alpha10
% 0.89/1.30    ( skol19 ) }.
% 0.89/1.30  parent0[0]: (4125) {G4,W3,D2,L1,V1,M1} R(4092,126) { ! alpha12( X, skol19 )
% 0.89/1.30     }.
% 0.89/1.30  parent1[1]: (124) {G0,W8,D2,L3,V2,M3} I { ! leaf_occ( X, skol19 ), alpha12
% 0.89/1.30    ( X, Y ), alpha10( Y ) }.
% 0.89/1.30  substitution0:
% 0.89/1.30     X := X
% 0.89/1.30  end
% 0.89/1.30  substitution1:
% 0.89/1.30     X := X
% 0.89/1.30     Y := skol19
% 0.89/1.30  end
% 0.89/1.30  
% 0.89/1.30  resolution: (4633) {G2,W3,D2,L1,V1,M1}  { ! leaf_occ( X, skol19 ) }.
% 0.89/1.30  parent0[0]: (3878) {G3,W2,D2,L1,V0,M1} R(129,244) { ! alpha10( skol19 ) }.
% 0.89/1.30  parent1[1]: (4632) {G1,W5,D2,L2,V1,M2}  { ! leaf_occ( X, skol19 ), alpha10
% 0.89/1.30    ( skol19 ) }.
% 0.89/1.30  substitution0:
% 0.89/1.30  end
% 0.89/1.30  substitution1:
% 0.89/1.30     X := X
% 0.89/1.30  end
% 0.89/1.30  
% 0.89/1.30  subsumption: (4132) {G5,W3,D2,L1,V1,M1} R(4125,124);r(3878) { ! leaf_occ( X
% 0.89/1.30    , skol19 ) }.
% 0.89/1.30  parent0: (4633) {G2,W3,D2,L1,V1,M1}  { ! leaf_occ( X, skol19 ) }.
% 0.89/1.30  substitution0:
% 0.89/1.30     X := X
% 0.89/1.30  end
% 0.89/1.30  permutation0:
% 0.89/1.30     0 ==> 0
% 0.89/1.30  end
% 0.89/1.30  
% 0.89/1.30  resolution: (4634) {G1,W3,D2,L1,V1,M1}  { ! alpha11( skol19, X ) }.
% 0.89/1.30  parent0[0]: (4132) {G5,W3,D2,L1,V1,M1} R(4125,124);r(3878) { ! leaf_occ( X
% 0.89/1.30    , skol19 ) }.
% 0.89/1.30  parent1[1]: (99) {G0,W8,D3,L2,V2,M2} I { ! alpha11( X, Y ), leaf_occ( 
% 0.89/1.30    skol18( X, Y ), X ) }.
% 0.89/1.30  substitution0:
% 0.89/1.30     X := skol18( skol19, X )
% 0.89/1.30  end
% 0.89/1.30  substitution1:
% 0.89/1.30     X := skol19
% 0.89/1.30     Y := X
% 0.89/1.30  end
% 0.89/1.30  
% 0.89/1.30  subsumption: (4133) {G6,W3,D2,L1,V1,M1} R(4132,99) { ! alpha11( skol19, X )
% 0.89/1.30     }.
% 0.89/1.30  parent0: (4634) {G1,W3,D2,L1,V1,M1}  { ! alpha11( skol19, X ) }.
% 0.89/1.30  substitution0:
% 0.89/1.30     X := X
% 0.89/1.30  end
% 0.89/1.30  permutation0:
% 0.89/1.30     0 ==> 0
% 0.89/1.30  end
% 0.89/1.30  
% 0.89/1.30  resolution: (4635) {G2,W0,D0,L0,V0,M0}  {  }.
% 0.89/1.30  parent0[0]: (4133) {G6,W3,D2,L1,V1,M1} R(4132,99) { ! alpha11( skol19, X )
% 0.89/1.30     }.
% 0.89/1.30  parent1[0]: (3222) {G1,W4,D3,L1,V0,M1} R(96,122) { alpha11( skol19, skol22
% 0.89/1.30    ( skol19 ) ) }.
% 0.89/1.30  substitution0:
% 0.89/1.30     X := skol22( skol19 )
% 0.89/1.30  end
% 0.89/1.30  substitution1:
% 0.89/1.30  end
% 0.89/1.30  
% 0.89/1.30  subsumption: (4186) {G7,W0,D0,L0,V0,M0} R(4133,3222) {  }.
% 0.89/1.30  parent0: (4635) {G2,W0,D0,L0,V0,M0}  {  }.
% 0.89/1.30  substitution0:
% 0.89/1.30  end
% 0.89/1.30  permutation0:
% 0.89/1.30  end
% 0.89/1.30  
% 0.89/1.30  Proof check complete!
% 0.89/1.30  
% 0.89/1.30  Memory use:
% 0.89/1.30  
% 0.89/1.30  space for terms:        75890
% 0.89/1.30  space for clauses:      172760
% 0.89/1.30  
% 0.89/1.30  
% 0.89/1.30  clauses generated:      16030
% 0.89/1.30  clauses kept:           4187
% 0.89/1.30  clauses selected:       490
% 0.89/1.30  clauses deleted:        47
% 0.89/1.30  clauses inuse deleted:  30
% 0.89/1.30  
% 0.89/1.30  subsentry:          30431
% 0.89/1.30  literals s-matched: 21909
% 0.89/1.30  literals matched:   21056
% 0.89/1.30  full subsumption:   10619
% 0.89/1.30  
% 0.89/1.30  checksum:           -2139495971
% 0.89/1.30  
% 0.89/1.30  
% 0.89/1.30  Bliksem ended
%------------------------------------------------------------------------------