↑ Up

Bliksem---1.12.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : PRO010+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n032.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 17:39:55 EDT 2022

% Result   : Theorem 0.53s 0.98s
% Output   : Refutation 0.53s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem  : PRO010+1 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.08  % Command  : bliksem %s
% 0.08/0.27  % Computer : n032.cluster.edu
% 0.08/0.27  % Model    : x86_64 x86_64
% 0.08/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27  % Memory   : 8042.1875MB
% 0.08/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27  % CPULimit : 300
% 0.08/0.27  % DateTime : Mon Jun 13 03:42:26 EDT 2022
% 0.08/0.28  % CPUTime  : 
% 0.49/0.91  *** allocated 10000 integers for termspace/termends
% 0.49/0.91  *** allocated 10000 integers for clauses
% 0.49/0.91  *** allocated 10000 integers for justifications
% 0.49/0.91  Bliksem 1.12
% 0.49/0.91  
% 0.49/0.91  
% 0.49/0.91  Automatic Strategy Selection
% 0.49/0.91  
% 0.49/0.91  
% 0.49/0.91  Clauses:
% 0.49/0.91  
% 0.49/0.91  { ! occurrence_of( Y, X ), activity( X ) }.
% 0.49/0.91  { ! occurrence_of( Y, X ), activity_occurrence( Y ) }.
% 0.49/0.91  { ! activity_occurrence( X ), activity( skol1( Y ) ) }.
% 0.49/0.91  { ! activity_occurrence( X ), occurrence_of( X, skol1( X ) ) }.
% 0.49/0.91  { ! occurrence_of( Z, X ), ! occurrence_of( Z, Y ), X = Y }.
% 0.49/0.91  { ! activity( X ), subactivity( X, X ) }.
% 0.49/0.91  { ! earlier( X, Y ), ! earlier( Y, X ) }.
% 0.49/0.91  { ! earlier( X, Z ), ! earlier( Z, Y ), earlier( X, Y ) }.
% 0.49/0.91  { ! earlier( X, Z ), ! earlier( Y, Z ), earlier( Y, X ), earlier( X, Y ), X
% 0.49/0.91     = Y }.
% 0.49/0.91  { ! occurrence_of( X, Y ), ! arboreal( X ), atomic( Y ) }.
% 0.49/0.91  { ! occurrence_of( X, Y ), ! atomic( Y ), arboreal( X ) }.
% 0.49/0.91  { ! legal( X ), arboreal( X ) }.
% 0.49/0.91  { ! legal( Y ), ! earlier( X, Y ), legal( X ) }.
% 0.49/0.91  { ! precedes( X, Y ), earlier( X, Y ) }.
% 0.49/0.91  { ! precedes( X, Y ), legal( Y ) }.
% 0.49/0.91  { ! earlier( X, Y ), ! legal( Y ), precedes( X, Y ) }.
% 0.49/0.91  { ! min_precedes( Y, Z, X ), subactivity( skol2( X, T, U ), X ) }.
% 0.49/0.91  { ! min_precedes( Y, Z, X ), alpha6( X, Y, Z, skol2( X, Y, Z ) ) }.
% 0.49/0.91  { ! alpha6( X, Y, Z, T ), atocc( Z, skol3( U, W, Z, V0 ) ) }.
% 0.49/0.91  { ! alpha6( X, Y, Z, T ), subactivity( skol3( X, U, Z, W ), X ) }.
% 0.49/0.91  { ! alpha6( X, Y, Z, T ), atocc( Y, T ) }.
% 0.49/0.91  { ! subactivity( U, X ), ! atocc( Y, T ), ! atocc( Z, U ), alpha6( X, Y, Z
% 0.49/0.91    , T ) }.
% 0.49/0.91  { ! root( Y, X ), atocc( Y, skol4( Z, Y ) ) }.
% 0.49/0.91  { ! root( Y, X ), subactivity( skol4( X, Y ), X ) }.
% 0.49/0.91  { ! min_precedes( Z, X, Y ), root( skol5( T, Y ), Y ) }.
% 0.49/0.91  { ! min_precedes( Z, X, Y ), min_precedes( skol5( X, Y ), X, Y ) }.
% 0.49/0.91  { ! min_precedes( Z, X, Y ), ! root( X, Y ) }.
% 0.49/0.91  { ! min_precedes( X, Y, Z ), precedes( X, Y ) }.
% 0.49/0.91  { ! root( X, Y ), legal( X ) }.
% 0.49/0.91  { ! atocc( X, Y ), ! legal( X ), root( X, Y ) }.
% 0.49/0.91  { ! min_precedes( T, X, Z ), ! min_precedes( T, Y, Z ), ! precedes( X, Y )
% 0.49/0.91    , min_precedes( X, Y, Z ) }.
% 0.49/0.91  { ! min_precedes( Y, Z, X ), ! atomic( X ) }.
% 0.49/0.91  { ! min_precedes( X, T, Z ), ! min_precedes( Y, T, Z ), ! precedes( X, Y )
% 0.49/0.91    , min_precedes( X, Y, Z ) }.
% 0.49/0.91  { ! leaf( X, Y ), alpha1( X, Y ) }.
% 0.49/0.91  { ! leaf( X, Y ), ! min_precedes( X, Z, Y ) }.
% 0.49/0.91  { ! alpha1( X, Y ), min_precedes( X, skol6( X, Y ), Y ), leaf( X, Y ) }.
% 0.49/0.91  { ! alpha1( X, Y ), root( X, Y ), min_precedes( skol7( X, Y ), X, Y ) }.
% 0.49/0.91  { ! root( X, Y ), alpha1( X, Y ) }.
% 0.49/0.91  { ! min_precedes( Z, X, Y ), alpha1( X, Y ) }.
% 0.49/0.91  { ! next_subocc( X, Y, Z ), min_precedes( X, Y, Z ) }.
% 0.49/0.91  { ! next_subocc( X, Y, Z ), alpha2( X, Y, Z ) }.
% 0.49/0.91  { ! min_precedes( X, Y, Z ), ! alpha2( X, Y, Z ), next_subocc( X, Y, Z ) }
% 0.49/0.91    .
% 0.49/0.91  { ! alpha2( X, Y, Z ), ! min_precedes( X, T, Z ), ! min_precedes( T, Y, Z )
% 0.49/0.91     }.
% 0.49/0.91  { min_precedes( skol8( T, Y, Z ), Y, Z ), alpha2( X, Y, Z ) }.
% 0.49/0.91  { min_precedes( X, skol8( X, Y, Z ), Z ), alpha2( X, Y, Z ) }.
% 0.49/0.91  { ! atocc( X, Y ), subactivity( Y, skol9( Z, Y ) ) }.
% 0.49/0.91  { ! atocc( X, Y ), alpha3( X, skol9( X, Y ) ) }.
% 0.49/0.91  { ! subactivity( Y, Z ), ! alpha3( X, Z ), atocc( X, Y ) }.
% 0.49/0.91  { ! alpha3( X, Y ), atomic( Y ) }.
% 0.49/0.91  { ! alpha3( X, Y ), occurrence_of( X, Y ) }.
% 0.49/0.91  { ! atomic( Y ), ! occurrence_of( X, Y ), alpha3( X, Y ) }.
% 0.49/0.91  { ! subactivity_occurrence( X, Y ), activity_occurrence( X ) }.
% 0.49/0.91  { ! subactivity_occurrence( X, Y ), activity_occurrence( Y ) }.
% 0.49/0.91  { ! min_precedes( Y, Z, X ), subactivity_occurrence( Z, skol10( T, U, Z ) )
% 0.49/0.91     }.
% 0.49/0.91  { ! min_precedes( Y, Z, X ), subactivity_occurrence( Y, skol10( T, Y, Z ) )
% 0.49/0.91     }.
% 0.49/0.91  { ! min_precedes( Y, Z, X ), occurrence_of( skol10( X, Y, Z ), X ) }.
% 0.49/0.91  { ! root( Y, X ), atomic( X ), subactivity_occurrence( Y, skol11( Z, Y ) )
% 0.49/0.91     }.
% 0.49/0.91  { ! root( Y, X ), atomic( X ), occurrence_of( skol11( X, Y ), X ) }.
% 0.49/0.91  { ! occurrence_of( Y, X ), atomic( X ), subactivity_occurrence( skol12( Z, 
% 0.49/0.91    Y ), Y ) }.
% 0.49/0.91  { ! occurrence_of( Y, X ), atomic( X ), root( skol12( X, Y ), X ) }.
% 0.49/0.91  { ! occurrence_of( T, X ), ! arboreal( Y ), ! arboreal( Z ), ! 
% 0.49/0.91    subactivity_occurrence( Y, T ), ! subactivity_occurrence( Z, T ), 
% 0.49/0.91    min_precedes( Y, Z, X ), min_precedes( Z, Y, X ), Y = Z }.
% 0.49/0.91  { ! min_precedes( X, Z, T ), ! occurrence_of( Y, T ), ! 
% 0.49/0.91    subactivity_occurrence( Z, Y ), subactivity_occurrence( X, Y ) }.
% 0.49/0.91  { ! occurrence_of( Z, X ), ! occurrence_of( T, Y ), atomic( X ), ! 
% 0.53/0.98    subactivity_occurrence( Z, T ), subactivity( X, Y ) }.
% 0.53/0.98  { ! subactivity_occurrence( X, Z ), ! subactivity_occurrence( Z, Y ), 
% 0.53/0.98    subactivity_occurrence( X, Y ) }.
% 0.53/0.98  { ! occurrence_of( X, Z ), ! occurrence_of( Y, T ), ! subactivity( Z, T ), 
% 0.53/0.98    subactivity_occurrence( X, Y ), subactivity_occurrence( skol13( U, Y ), Y
% 0.53/0.98     ) }.
% 0.53/0.98  { ! occurrence_of( X, Z ), ! occurrence_of( Y, T ), ! subactivity( Z, T ), 
% 0.53/0.98    subactivity_occurrence( X, Y ), ! subactivity_occurrence( skol13( X, Y )
% 0.53/0.98    , X ) }.
% 0.53/0.98  { ! root_occ( X, Y ), occurrence_of( Y, skol14( Z, Y ) ) }.
% 0.53/0.98  { ! root_occ( X, Y ), alpha4( X, Y, skol14( X, Y ) ) }.
% 0.53/0.98  { ! occurrence_of( Y, Z ), ! alpha4( X, Y, Z ), root_occ( X, Y ) }.
% 0.53/0.98  { ! alpha4( X, Y, Z ), subactivity_occurrence( X, Y ) }.
% 0.53/0.98  { ! alpha4( X, Y, Z ), root( X, Z ) }.
% 0.53/0.98  { ! subactivity_occurrence( X, Y ), ! root( X, Z ), alpha4( X, Y, Z ) }.
% 0.53/0.98  { ! leaf_occ( X, Y ), occurrence_of( Y, skol15( Z, Y ) ) }.
% 0.53/0.98  { ! leaf_occ( X, Y ), alpha5( X, Y, skol15( X, Y ) ) }.
% 0.53/0.98  { ! occurrence_of( Y, Z ), ! alpha5( X, Y, Z ), leaf_occ( X, Y ) }.
% 0.53/0.98  { ! alpha5( X, Y, Z ), subactivity_occurrence( X, Y ) }.
% 0.53/0.98  { ! alpha5( X, Y, Z ), leaf( X, Z ) }.
% 0.53/0.98  { ! subactivity_occurrence( X, Y ), ! leaf( X, Z ), alpha5( X, Y, Z ) }.
% 0.53/0.98  { ! occurrence_of( X, tptp0 ), alpha7( X, skol16( X ) ) }.
% 0.53/0.98  { ! occurrence_of( X, tptp0 ), alpha9( skol16( X ), skol21( X ) ) }.
% 0.53/0.98  { ! occurrence_of( X, tptp0 ), alpha11( X, skol21( X ) ) }.
% 0.53/0.98  { ! alpha11( X, Y ), alpha13( skol17( Z, T ) ) }.
% 0.53/0.98  { ! alpha11( X, Y ), next_subocc( Y, skol17( Z, Y ), tptp0 ) }.
% 0.53/0.98  { ! alpha11( X, Y ), leaf_occ( skol17( X, Y ), X ) }.
% 0.53/0.98  { ! alpha13( Z ), ! next_subocc( Y, Z, tptp0 ), ! leaf_occ( Z, X ), alpha11
% 0.53/0.98    ( X, Y ) }.
% 0.53/0.98  { ! alpha13( X ), occurrence_of( X, tptp1 ), occurrence_of( X, tptp2 ) }.
% 0.53/0.98  { ! occurrence_of( X, tptp1 ), alpha13( X ) }.
% 0.53/0.98  { ! occurrence_of( X, tptp2 ), alpha13( X ) }.
% 0.53/0.98  { ! alpha9( X, Y ), occurrence_of( Y, tptp4 ) }.
% 0.53/0.98  { ! alpha9( X, Y ), next_subocc( X, Y, tptp0 ) }.
% 0.53/0.98  { ! occurrence_of( Y, tptp4 ), ! next_subocc( X, Y, tptp0 ), alpha9( X, Y )
% 0.53/0.98     }.
% 0.53/0.98  { ! alpha7( X, Y ), occurrence_of( Y, tptp3 ) }.
% 0.53/0.98  { ! alpha7( X, Y ), root_occ( Y, X ) }.
% 0.53/0.98  { ! occurrence_of( Y, tptp3 ), ! root_occ( Y, X ), alpha7( X, Y ) }.
% 0.53/0.98  { activity( tptp0 ) }.
% 0.53/0.98  { ! atomic( tptp0 ) }.
% 0.53/0.98  { atomic( tptp4 ) }.
% 0.53/0.98  { atomic( tptp1 ) }.
% 0.53/0.98  { atomic( tptp2 ) }.
% 0.53/0.98  { atomic( tptp3 ) }.
% 0.53/0.98  { ! tptp4 = tptp3 }.
% 0.53/0.98  { ! tptp4 = tptp1 }.
% 0.53/0.98  { ! tptp4 = tptp2 }.
% 0.53/0.98  { ! tptp3 = tptp1 }.
% 0.53/0.98  { ! tptp3 = tptp2 }.
% 0.53/0.98  { ! tptp1 = tptp2 }.
% 0.53/0.98  { occurrence_of( skol18, tptp0 ) }.
% 0.53/0.98  { ! leaf_occ( X, skol18 ), alpha12( X, Y ), occurrence_of( X, tptp2 ) }.
% 0.53/0.98  { ! leaf_occ( X, skol18 ), alpha12( X, Y ), alpha10( Y ) }.
% 0.53/0.98  { ! alpha12( X, Y ), occurrence_of( X, tptp1 ) }.
% 0.53/0.98  { ! alpha12( X, Y ), alpha8( Y ) }.
% 0.53/0.98  { ! occurrence_of( X, tptp1 ), ! alpha8( Y ), alpha12( X, Y ) }.
% 0.53/0.98  { ! alpha10( X ), occurrence_of( skol19( Y ), tptp1 ) }.
% 0.53/0.98  { ! alpha10( X ), min_precedes( X, skol19( X ), tptp0 ) }.
% 0.53/0.98  { ! occurrence_of( Y, tptp1 ), ! min_precedes( X, Y, tptp0 ), alpha10( X )
% 0.53/0.98     }.
% 0.53/0.98  { ! alpha8( X ), occurrence_of( skol20( Y ), tptp2 ) }.
% 0.53/0.98  { ! alpha8( X ), min_precedes( X, skol20( X ), tptp0 ) }.
% 0.53/0.98  { ! occurrence_of( Y, tptp2 ), ! min_precedes( X, Y, tptp0 ), alpha8( X ) }
% 0.53/0.98    .
% 0.53/0.98  
% 0.53/0.98  percentage equality = 0.032028, percentage horn = 0.872881
% 0.53/0.98  This is a problem with some equality
% 0.53/0.98  
% 0.53/0.98  
% 0.53/0.98  
% 0.53/0.98  Options Used:
% 0.53/0.98  
% 0.53/0.98  useres =            1
% 0.53/0.98  useparamod =        1
% 0.53/0.98  useeqrefl =         1
% 0.53/0.98  useeqfact =         1
% 0.53/0.98  usefactor =         1
% 0.53/0.98  usesimpsplitting =  0
% 0.53/0.98  usesimpdemod =      5
% 0.53/0.98  usesimpres =        3
% 0.53/0.98  
% 0.53/0.98  resimpinuse      =  1000
% 0.53/0.98  resimpclauses =     20000
% 0.53/0.98  substype =          eqrewr
% 0.53/0.98  backwardsubs =      1
% 0.53/0.98  selectoldest =      5
% 0.53/0.98  
% 0.53/0.98  litorderings [0] =  split
% 0.53/0.98  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.53/0.98  
% 0.53/0.98  termordering =      kbo
% 0.53/0.98  
% 0.53/0.98  litapriori =        0
% 0.53/0.98  termapriori =       1
% 0.53/0.98  litaposteriori =    0
% 0.53/0.98  termaposteriori =   0
% 0.53/0.98  demodaposteriori =  0
% 0.53/0.98  ordereqreflfact =   0
% 0.53/0.98  
% 0.53/0.98  litselect =         negord
% 0.53/0.98  
% 0.53/0.98  maxweight =         15
% 0.53/0.98  maxdepth =          30000
% 0.53/0.98  maxlength =         115
% 0.53/0.98  maxnrvars =         195
% 0.53/0.98  excuselevel =       1
% 0.53/0.98  increasemaxweight = 1
% 0.53/0.98  
% 0.53/0.98  maxselected =       10000000
% 0.53/0.98  maxnrclauses =      10000000
% 0.53/0.98  
% 0.53/0.98  showgenerated =    0
% 0.53/0.98  showkept =         0
% 0.53/0.98  showselected =     0
% 0.53/0.98  showdeleted =      0
% 0.53/0.98  showresimp =       1
% 0.53/0.98  showstatus =       2000
% 0.53/0.98  
% 0.53/0.98  prologoutput =     0
% 0.53/0.98  nrgoals =          5000000
% 0.53/0.98  totalproof =       1
% 0.53/0.98  
% 0.53/0.98  Symbols occurring in the translation:
% 0.53/0.98  
% 0.53/0.98  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.53/0.98  .  [1, 2]      (w:1, o:144, a:1, s:1, b:0), 
% 0.53/0.98  !  [4, 1]      (w:0, o:126, a:1, s:1, b:0), 
% 0.53/0.98  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.53/0.98  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.53/0.98  occurrence_of  [37, 2]      (w:1, o:168, a:1, s:1, b:0), 
% 0.53/0.98  activity  [38, 1]      (w:1, o:131, a:1, s:1, b:0), 
% 0.53/0.98  activity_occurrence  [39, 1]      (w:1, o:132, a:1, s:1, b:0), 
% 0.53/0.98  subactivity  [46, 2]      (w:1, o:171, a:1, s:1, b:0), 
% 0.53/0.98  earlier  [49, 2]      (w:1, o:172, a:1, s:1, b:0), 
% 0.53/0.98  arboreal  [58, 1]      (w:1, o:133, a:1, s:1, b:0), 
% 0.53/0.98  atomic  [59, 1]      (w:1, o:134, a:1, s:1, b:0), 
% 0.53/0.98  legal  [61, 1]      (w:1, o:135, a:1, s:1, b:0), 
% 0.53/0.98  precedes  [66, 2]      (w:1, o:173, a:1, s:1, b:0), 
% 0.53/0.98  min_precedes  [70, 3]      (w:1, o:195, a:1, s:1, b:0), 
% 0.53/0.98  atocc  [73, 2]      (w:1, o:174, a:1, s:1, b:0), 
% 0.53/0.98  root  [76, 2]      (w:1, o:169, a:1, s:1, b:0), 
% 0.53/0.98  leaf  [105, 2]      (w:1, o:175, a:1, s:1, b:0), 
% 0.53/0.98  next_subocc  [111, 3]      (w:1, o:196, a:1, s:1, b:0), 
% 0.53/0.98  subactivity_occurrence  [118, 2]      (w:1, o:176, a:1, s:1, b:0), 
% 0.53/0.98  root_occ  [151, 2]      (w:1, o:170, a:1, s:1, b:0), 
% 0.53/0.98  leaf_occ  [155, 2]      (w:1, o:177, a:1, s:1, b:0), 
% 0.53/0.98  tptp0  [158, 0]      (w:1, o:121, a:1, s:1, b:0), 
% 0.53/0.98  tptp3  [162, 0]      (w:1, o:123, a:1, s:1, b:0), 
% 0.53/0.98  tptp4  [163, 0]      (w:1, o:124, a:1, s:1, b:0), 
% 0.53/0.98  tptp1  [164, 0]      (w:1, o:125, a:1, s:1, b:0), 
% 0.53/0.98  tptp2  [165, 0]      (w:1, o:122, a:1, s:1, b:0), 
% 0.53/0.98  alpha1  [171, 2]      (w:1, o:178, a:1, s:1, b:1), 
% 0.53/0.98  alpha2  [172, 3]      (w:1, o:197, a:1, s:1, b:1), 
% 0.53/0.98  alpha3  [173, 2]      (w:1, o:179, a:1, s:1, b:1), 
% 0.53/0.98  alpha4  [174, 3]      (w:1, o:198, a:1, s:1, b:1), 
% 0.53/0.98  alpha5  [175, 3]      (w:1, o:199, a:1, s:1, b:1), 
% 0.53/0.98  alpha6  [176, 4]      (w:1, o:203, a:1, s:1, b:1), 
% 0.53/0.98  alpha7  [177, 2]      (w:1, o:180, a:1, s:1, b:1), 
% 0.53/0.98  alpha8  [178, 1]      (w:1, o:136, a:1, s:1, b:1), 
% 0.53/0.98  alpha9  [179, 2]      (w:1, o:181, a:1, s:1, b:1), 
% 0.53/0.98  alpha10  [180, 1]      (w:1, o:137, a:1, s:1, b:1), 
% 0.53/0.98  alpha11  [181, 2]      (w:1, o:182, a:1, s:1, b:1), 
% 0.53/0.98  alpha12  [182, 2]      (w:1, o:183, a:1, s:1, b:1), 
% 0.53/0.98  alpha13  [183, 1]      (w:1, o:138, a:1, s:1, b:1), 
% 0.53/0.98  skol1  [184, 1]      (w:1, o:139, a:1, s:1, b:1), 
% 0.53/0.98  skol2  [185, 3]      (w:1, o:201, a:1, s:1, b:1), 
% 0.53/0.98  skol3  [186, 4]      (w:1, o:204, a:1, s:1, b:1), 
% 0.53/0.98  skol4  [187, 2]      (w:1, o:184, a:1, s:1, b:1), 
% 0.53/0.98  skol5  [188, 2]      (w:1, o:185, a:1, s:1, b:1), 
% 0.53/0.98  skol6  [189, 2]      (w:1, o:186, a:1, s:1, b:1), 
% 0.53/0.98  skol7  [190, 2]      (w:1, o:187, a:1, s:1, b:1), 
% 0.53/0.98  skol8  [191, 3]      (w:1, o:202, a:1, s:1, b:1), 
% 0.53/0.98  skol9  [192, 2]      (w:1, o:188, a:1, s:1, b:1), 
% 0.53/0.98  skol10  [193, 3]      (w:1, o:200, a:1, s:1, b:1), 
% 0.53/0.98  skol11  [194, 2]      (w:1, o:189, a:1, s:1, b:1), 
% 0.53/0.98  skol12  [195, 2]      (w:1, o:190, a:1, s:1, b:1), 
% 0.53/0.98  skol13  [196, 2]      (w:1, o:191, a:1, s:1, b:1), 
% 0.53/0.98  skol14  [197, 2]      (w:1, o:192, a:1, s:1, b:1), 
% 0.53/0.98  skol15  [198, 2]      (w:1, o:193, a:1, s:1, b:1), 
% 0.53/0.98  skol16  [199, 1]      (w:1, o:140, a:1, s:1, b:1), 
% 0.53/0.98  skol17  [200, 2]      (w:1, o:194, a:1, s:1, b:1), 
% 0.53/0.98  skol18  [201, 0]      (w:1, o:120, a:1, s:1, b:1), 
% 0.53/0.98  skol19  [202, 1]      (w:1, o:141, a:1, s:1, b:1), 
% 0.53/0.98  skol20  [203, 1]      (w:1, o:142, a:1, s:1, b:1), 
% 0.53/0.98  skol21  [204, 1]      (w:1, o:143, a:1, s:1, b:1).
% 0.53/0.98  
% 0.53/0.98  
% 0.53/0.98  Starting Search:
% 0.53/0.98  
% 0.53/0.98  *** allocated 15000 integers for clauses
% 0.53/0.98  *** allocated 22500 integers for clauses
% 0.53/0.98  *** allocated 33750 integers for clauses
% 0.53/0.98  *** allocated 15000 integers for termspace/termends
% 0.53/0.98  *** allocated 50625 integers for clauses
% 0.53/0.98  Resimplifying inuse:
% 0.53/0.98  Done
% 0.53/0.98  
% 0.53/0.98  *** allocated 22500 integers for termspace/termends
% 0.53/0.98  *** allocated 75937 integers for clauses
% 0.53/0.98  *** allocated 33750 integers for termspace/termends
% 0.53/0.98  *** allocated 113905 integers for clauses
% 0.53/0.98  
% 0.53/0.98  Intermediate Status:
% 0.53/0.98  Generated:    6073
% 0.53/0.98  Kept:         2004
% 0.53/0.98  Inuse:        381
% 0.53/0.98  Deleted:      22
% 0.53/0.98  Deletedinuse: 11
% 0.53/0.98  
% 0.53/0.98  Resimplifying inuse:
% 0.53/0.98  Done
% 0.53/0.98  
% 0.53/0.98  
% 0.53/0.98  Bliksems!, er is een bewijs:
% 0.53/0.98  % SZS status Theorem
% 0.53/0.98  % SZS output start Refutation
% 0.53/0.98  
% 0.53/0.98  (9) {G0,W7,D2,L3,V2,M3} I { ! occurrence_of( X, Y ), ! arboreal( X ), 
% 0.53/0.98    atomic( Y ) }.
% 0.53/0.98  (11) {G0,W4,D2,L2,V1,M2} I { ! legal( X ), arboreal( X ) }.
% 0.53/0.98  (12) {G0,W7,D2,L3,V2,M3} I { ! legal( Y ), ! earlier( X, Y ), legal( X )
% 0.53/0.98     }.
% 0.53/0.98  (13) {G0,W6,D2,L2,V2,M2} I { ! precedes( X, Y ), earlier( X, Y ) }.
% 0.53/0.98  (14) {G0,W5,D2,L2,V2,M2} I { ! precedes( X, Y ), legal( Y ) }.
% 0.53/0.98  (27) {G0,W7,D2,L2,V3,M2} I { ! min_precedes( X, Y, Z ), precedes( X, Y )
% 0.53/0.98     }.
% 0.53/0.98  (80) {G0,W7,D3,L2,V1,M2} I { ! occurrence_of( X, tptp0 ), alpha11( X, 
% 0.53/0.98    skol21( X ) ) }.
% 0.53/0.98  (83) {G0,W8,D3,L2,V2,M2} I { ! alpha11( X, Y ), leaf_occ( skol17( X, Y ), X
% 0.53/0.98     ) }.
% 0.53/0.98  (95) {G0,W2,D2,L1,V0,M1} I { ! atomic( tptp0 ) }.
% 0.53/0.98  (106) {G0,W3,D2,L1,V0,M1} I { occurrence_of( skol18, tptp0 ) }.
% 0.53/0.98  (108) {G0,W8,D2,L3,V2,M3} I { ! leaf_occ( X, skol18 ), alpha12( X, Y ), 
% 0.53/0.98    alpha10( Y ) }.
% 0.53/0.98  (110) {G0,W5,D2,L2,V2,M2} I { ! alpha12( X, Y ), alpha8( Y ) }.
% 0.53/0.98  (113) {G0,W7,D3,L2,V1,M2} I { ! alpha10( X ), min_precedes( X, skol19( X )
% 0.53/0.98    , tptp0 ) }.
% 0.53/0.98  (116) {G0,W7,D3,L2,V1,M2} I { ! alpha8( X ), min_precedes( X, skol20( X ), 
% 0.53/0.98    tptp0 ) }.
% 0.53/0.98  (222) {G1,W2,D2,L1,V0,M1} R(9,106);r(95) { ! arboreal( skol18 ) }.
% 0.53/0.98  (226) {G2,W2,D2,L1,V0,M1} R(222,11) { ! legal( skol18 ) }.
% 0.53/0.98  (252) {G3,W5,D2,L2,V1,M2} R(12,226) { ! legal( X ), ! earlier( skol18, X )
% 0.53/0.98     }.
% 0.53/0.98  (281) {G4,W5,D2,L2,V1,M2} R(13,252) { ! precedes( skol18, X ), ! legal( X )
% 0.53/0.98     }.
% 0.53/0.98  (299) {G5,W6,D2,L2,V2,M2} R(281,14) { ! precedes( skol18, X ), ! precedes( 
% 0.53/0.98    Y, X ) }.
% 0.53/0.98  (301) {G6,W3,D2,L1,V1,M1} F(299) { ! precedes( skol18, X ) }.
% 0.53/0.98  (450) {G7,W4,D2,L1,V2,M1} R(27,301) { ! min_precedes( skol18, X, Y ) }.
% 0.53/0.98  (1803) {G1,W4,D3,L1,V0,M1} R(80,106) { alpha11( skol18, skol21( skol18 ) )
% 0.53/0.98     }.
% 0.53/0.98  (2179) {G8,W2,D2,L1,V0,M1} R(113,450) { ! alpha10( skol18 ) }.
% 0.53/0.98  (2279) {G8,W2,D2,L1,V0,M1} R(116,450) { ! alpha8( skol18 ) }.
% 0.53/0.98  (2295) {G9,W3,D2,L1,V1,M1} R(2279,110) { ! alpha12( X, skol18 ) }.
% 0.53/0.98  (2296) {G10,W3,D2,L1,V1,M1} R(2295,108);r(2179) { ! leaf_occ( X, skol18 )
% 0.53/0.98     }.
% 0.53/0.98  (2297) {G11,W3,D2,L1,V1,M1} R(2296,83) { ! alpha11( skol18, X ) }.
% 0.53/0.98  (2302) {G12,W0,D0,L0,V0,M0} R(2297,1803) {  }.
% 0.53/0.98  
% 0.53/0.98  
% 0.53/0.98  % SZS output end Refutation
% 0.53/0.98  found a proof!
% 0.53/0.98  
% 0.53/0.98  *** allocated 50625 integers for termspace/termends
% 0.53/0.98  
% 0.53/0.98  Unprocessed initial clauses:
% 0.53/0.98  
% 0.53/0.98  (2304) {G0,W5,D2,L2,V2,M2}  { ! occurrence_of( Y, X ), activity( X ) }.
% 0.53/0.98  (2305) {G0,W5,D2,L2,V2,M2}  { ! occurrence_of( Y, X ), activity_occurrence
% 0.53/0.98    ( Y ) }.
% 0.53/0.98  (2306) {G0,W5,D3,L2,V2,M2}  { ! activity_occurrence( X ), activity( skol1( 
% 0.53/0.98    Y ) ) }.
% 0.53/0.98  (2307) {G0,W6,D3,L2,V1,M2}  { ! activity_occurrence( X ), occurrence_of( X
% 0.53/0.98    , skol1( X ) ) }.
% 0.53/0.98  (2308) {G0,W9,D2,L3,V3,M3}  { ! occurrence_of( Z, X ), ! occurrence_of( Z, 
% 0.53/0.98    Y ), X = Y }.
% 0.53/0.98  (2309) {G0,W5,D2,L2,V1,M2}  { ! activity( X ), subactivity( X, X ) }.
% 0.53/0.98  (2310) {G0,W6,D2,L2,V2,M2}  { ! earlier( X, Y ), ! earlier( Y, X ) }.
% 0.53/0.98  (2311) {G0,W9,D2,L3,V3,M3}  { ! earlier( X, Z ), ! earlier( Z, Y ), earlier
% 0.53/0.98    ( X, Y ) }.
% 0.53/0.98  (2312) {G0,W15,D2,L5,V3,M5}  { ! earlier( X, Z ), ! earlier( Y, Z ), 
% 0.53/0.98    earlier( Y, X ), earlier( X, Y ), X = Y }.
% 0.53/0.98  (2313) {G0,W7,D2,L3,V2,M3}  { ! occurrence_of( X, Y ), ! arboreal( X ), 
% 0.53/0.98    atomic( Y ) }.
% 0.53/0.98  (2314) {G0,W7,D2,L3,V2,M3}  { ! occurrence_of( X, Y ), ! atomic( Y ), 
% 0.53/0.98    arboreal( X ) }.
% 0.53/0.98  (2315) {G0,W4,D2,L2,V1,M2}  { ! legal( X ), arboreal( X ) }.
% 0.53/0.98  (2316) {G0,W7,D2,L3,V2,M3}  { ! legal( Y ), ! earlier( X, Y ), legal( X )
% 0.53/0.98     }.
% 0.53/0.98  (2317) {G0,W6,D2,L2,V2,M2}  { ! precedes( X, Y ), earlier( X, Y ) }.
% 0.53/0.98  (2318) {G0,W5,D2,L2,V2,M2}  { ! precedes( X, Y ), legal( Y ) }.
% 0.53/0.98  (2319) {G0,W8,D2,L3,V2,M3}  { ! earlier( X, Y ), ! legal( Y ), precedes( X
% 0.53/0.98    , Y ) }.
% 0.53/0.98  (2320) {G0,W10,D3,L2,V5,M2}  { ! min_precedes( Y, Z, X ), subactivity( 
% 0.53/0.98    skol2( X, T, U ), X ) }.
% 0.53/0.98  (2321) {G0,W12,D3,L2,V3,M2}  { ! min_precedes( Y, Z, X ), alpha6( X, Y, Z, 
% 0.53/0.98    skol2( X, Y, Z ) ) }.
% 0.53/0.98  (2322) {G0,W12,D3,L2,V7,M2}  { ! alpha6( X, Y, Z, T ), atocc( Z, skol3( U, 
% 0.53/0.98    W, Z, V0 ) ) }.
% 0.53/0.98  (2323) {G0,W12,D3,L2,V6,M2}  { ! alpha6( X, Y, Z, T ), subactivity( skol3( 
% 0.53/0.98    X, U, Z, W ), X ) }.
% 0.53/0.98  (2324) {G0,W8,D2,L2,V4,M2}  { ! alpha6( X, Y, Z, T ), atocc( Y, T ) }.
% 0.53/0.98  (2325) {G0,W14,D2,L4,V5,M4}  { ! subactivity( U, X ), ! atocc( Y, T ), ! 
% 0.53/0.98    atocc( Z, U ), alpha6( X, Y, Z, T ) }.
% 0.53/0.98  (2326) {G0,W8,D3,L2,V3,M2}  { ! root( Y, X ), atocc( Y, skol4( Z, Y ) ) }.
% 0.53/0.98  (2327) {G0,W8,D3,L2,V2,M2}  { ! root( Y, X ), subactivity( skol4( X, Y ), X
% 0.53/0.98     ) }.
% 0.53/0.98  (2328) {G0,W9,D3,L2,V4,M2}  { ! min_precedes( Z, X, Y ), root( skol5( T, Y
% 0.53/0.98     ), Y ) }.
% 0.53/0.98  (2329) {G0,W10,D3,L2,V3,M2}  { ! min_precedes( Z, X, Y ), min_precedes( 
% 0.53/0.98    skol5( X, Y ), X, Y ) }.
% 0.53/0.98  (2330) {G0,W7,D2,L2,V3,M2}  { ! min_precedes( Z, X, Y ), ! root( X, Y ) }.
% 0.53/0.98  (2331) {G0,W7,D2,L2,V3,M2}  { ! min_precedes( X, Y, Z ), precedes( X, Y )
% 0.53/0.98     }.
% 0.53/0.98  (2332) {G0,W5,D2,L2,V2,M2}  { ! root( X, Y ), legal( X ) }.
% 0.53/0.98  (2333) {G0,W8,D2,L3,V2,M3}  { ! atocc( X, Y ), ! legal( X ), root( X, Y )
% 0.53/0.98     }.
% 0.53/0.98  (2334) {G0,W15,D2,L4,V4,M4}  { ! min_precedes( T, X, Z ), ! min_precedes( T
% 0.53/0.98    , Y, Z ), ! precedes( X, Y ), min_precedes( X, Y, Z ) }.
% 0.53/0.98  (2335) {G0,W6,D2,L2,V3,M2}  { ! min_precedes( Y, Z, X ), ! atomic( X ) }.
% 0.53/0.98  (2336) {G0,W15,D2,L4,V4,M4}  { ! min_precedes( X, T, Z ), ! min_precedes( Y
% 0.53/0.98    , T, Z ), ! precedes( X, Y ), min_precedes( X, Y, Z ) }.
% 0.53/0.98  (2337) {G0,W6,D2,L2,V2,M2}  { ! leaf( X, Y ), alpha1( X, Y ) }.
% 0.53/0.98  (2338) {G0,W7,D2,L2,V3,M2}  { ! leaf( X, Y ), ! min_precedes( X, Z, Y ) }.
% 0.53/0.98  (2339) {G0,W12,D3,L3,V2,M3}  { ! alpha1( X, Y ), min_precedes( X, skol6( X
% 0.53/0.98    , Y ), Y ), leaf( X, Y ) }.
% 0.53/0.98  (2340) {G0,W12,D3,L3,V2,M3}  { ! alpha1( X, Y ), root( X, Y ), min_precedes
% 0.53/0.98    ( skol7( X, Y ), X, Y ) }.
% 0.53/0.98  (2341) {G0,W6,D2,L2,V2,M2}  { ! root( X, Y ), alpha1( X, Y ) }.
% 0.53/0.98  (2342) {G0,W7,D2,L2,V3,M2}  { ! min_precedes( Z, X, Y ), alpha1( X, Y ) }.
% 0.53/0.98  (2343) {G0,W8,D2,L2,V3,M2}  { ! next_subocc( X, Y, Z ), min_precedes( X, Y
% 0.53/0.98    , Z ) }.
% 0.53/0.98  (2344) {G0,W8,D2,L2,V3,M2}  { ! next_subocc( X, Y, Z ), alpha2( X, Y, Z )
% 0.53/0.98     }.
% 0.53/0.98  (2345) {G0,W12,D2,L3,V3,M3}  { ! min_precedes( X, Y, Z ), ! alpha2( X, Y, Z
% 0.53/0.98     ), next_subocc( X, Y, Z ) }.
% 0.53/0.98  (2346) {G0,W12,D2,L3,V4,M3}  { ! alpha2( X, Y, Z ), ! min_precedes( X, T, Z
% 0.53/0.98     ), ! min_precedes( T, Y, Z ) }.
% 0.53/0.98  (2347) {G0,W11,D3,L2,V4,M2}  { min_precedes( skol8( T, Y, Z ), Y, Z ), 
% 0.53/0.98    alpha2( X, Y, Z ) }.
% 0.53/0.98  (2348) {G0,W11,D3,L2,V3,M2}  { min_precedes( X, skol8( X, Y, Z ), Z ), 
% 0.53/0.98    alpha2( X, Y, Z ) }.
% 0.53/0.98  (2349) {G0,W8,D3,L2,V3,M2}  { ! atocc( X, Y ), subactivity( Y, skol9( Z, Y
% 0.53/0.98     ) ) }.
% 0.53/0.98  (2350) {G0,W8,D3,L2,V2,M2}  { ! atocc( X, Y ), alpha3( X, skol9( X, Y ) )
% 0.53/0.98     }.
% 0.53/0.98  (2351) {G0,W9,D2,L3,V3,M3}  { ! subactivity( Y, Z ), ! alpha3( X, Z ), 
% 0.53/0.98    atocc( X, Y ) }.
% 0.53/0.98  (2352) {G0,W5,D2,L2,V2,M2}  { ! alpha3( X, Y ), atomic( Y ) }.
% 0.53/0.98  (2353) {G0,W6,D2,L2,V2,M2}  { ! alpha3( X, Y ), occurrence_of( X, Y ) }.
% 0.53/0.98  (2354) {G0,W8,D2,L3,V2,M3}  { ! atomic( Y ), ! occurrence_of( X, Y ), 
% 0.53/0.98    alpha3( X, Y ) }.
% 0.53/0.98  (2355) {G0,W5,D2,L2,V2,M2}  { ! subactivity_occurrence( X, Y ), 
% 0.53/0.98    activity_occurrence( X ) }.
% 0.53/0.98  (2356) {G0,W5,D2,L2,V2,M2}  { ! subactivity_occurrence( X, Y ), 
% 0.53/0.98    activity_occurrence( Y ) }.
% 0.53/0.98  (2357) {G0,W10,D3,L2,V5,M2}  { ! min_precedes( Y, Z, X ), 
% 0.53/0.98    subactivity_occurrence( Z, skol10( T, U, Z ) ) }.
% 0.53/0.98  (2358) {G0,W10,D3,L2,V4,M2}  { ! min_precedes( Y, Z, X ), 
% 0.53/0.98    subactivity_occurrence( Y, skol10( T, Y, Z ) ) }.
% 0.53/0.98  (2359) {G0,W10,D3,L2,V3,M2}  { ! min_precedes( Y, Z, X ), occurrence_of( 
% 0.53/0.98    skol10( X, Y, Z ), X ) }.
% 0.53/0.98  (2360) {G0,W10,D3,L3,V3,M3}  { ! root( Y, X ), atomic( X ), 
% 0.53/0.98    subactivity_occurrence( Y, skol11( Z, Y ) ) }.
% 0.53/0.98  (2361) {G0,W10,D3,L3,V2,M3}  { ! root( Y, X ), atomic( X ), occurrence_of( 
% 0.53/0.98    skol11( X, Y ), X ) }.
% 0.53/0.98  (2362) {G0,W10,D3,L3,V3,M3}  { ! occurrence_of( Y, X ), atomic( X ), 
% 0.53/0.98    subactivity_occurrence( skol12( Z, Y ), Y ) }.
% 0.53/0.98  (2363) {G0,W10,D3,L3,V2,M3}  { ! occurrence_of( Y, X ), atomic( X ), root( 
% 0.53/0.98    skol12( X, Y ), X ) }.
% 0.53/0.98  (2364) {G0,W24,D2,L8,V4,M8}  { ! occurrence_of( T, X ), ! arboreal( Y ), ! 
% 0.53/0.98    arboreal( Z ), ! subactivity_occurrence( Y, T ), ! subactivity_occurrence
% 0.53/0.98    ( Z, T ), min_precedes( Y, Z, X ), min_precedes( Z, Y, X ), Y = Z }.
% 0.53/0.98  (2365) {G0,W13,D2,L4,V4,M4}  { ! min_precedes( X, Z, T ), ! occurrence_of( 
% 0.53/0.98    Y, T ), ! subactivity_occurrence( Z, Y ), subactivity_occurrence( X, Y )
% 0.53/0.98     }.
% 0.53/0.98  (2366) {G0,W14,D2,L5,V4,M5}  { ! occurrence_of( Z, X ), ! occurrence_of( T
% 0.53/0.98    , Y ), atomic( X ), ! subactivity_occurrence( Z, T ), subactivity( X, Y )
% 0.53/0.98     }.
% 0.53/0.98  (2367) {G0,W9,D2,L3,V3,M3}  { ! subactivity_occurrence( X, Z ), ! 
% 0.53/0.98    subactivity_occurrence( Z, Y ), subactivity_occurrence( X, Y ) }.
% 0.53/0.98  (2368) {G0,W17,D3,L5,V5,M5}  { ! occurrence_of( X, Z ), ! occurrence_of( Y
% 0.53/0.98    , T ), ! subactivity( Z, T ), subactivity_occurrence( X, Y ), 
% 0.53/0.98    subactivity_occurrence( skol13( U, Y ), Y ) }.
% 0.53/0.98  (2369) {G0,W17,D3,L5,V4,M5}  { ! occurrence_of( X, Z ), ! occurrence_of( Y
% 0.53/0.98    , T ), ! subactivity( Z, T ), subactivity_occurrence( X, Y ), ! 
% 0.53/0.98    subactivity_occurrence( skol13( X, Y ), X ) }.
% 0.53/0.98  (2370) {G0,W8,D3,L2,V3,M2}  { ! root_occ( X, Y ), occurrence_of( Y, skol14
% 0.53/0.98    ( Z, Y ) ) }.
% 0.53/0.98  (2371) {G0,W9,D3,L2,V2,M2}  { ! root_occ( X, Y ), alpha4( X, Y, skol14( X, 
% 0.53/0.98    Y ) ) }.
% 0.53/0.98  (2372) {G0,W10,D2,L3,V3,M3}  { ! occurrence_of( Y, Z ), ! alpha4( X, Y, Z )
% 0.53/0.98    , root_occ( X, Y ) }.
% 0.53/0.98  (2373) {G0,W7,D2,L2,V3,M2}  { ! alpha4( X, Y, Z ), subactivity_occurrence( 
% 0.53/0.98    X, Y ) }.
% 0.53/0.98  (2374) {G0,W7,D2,L2,V3,M2}  { ! alpha4( X, Y, Z ), root( X, Z ) }.
% 0.53/0.98  (2375) {G0,W10,D2,L3,V3,M3}  { ! subactivity_occurrence( X, Y ), ! root( X
% 0.53/0.98    , Z ), alpha4( X, Y, Z ) }.
% 0.53/0.98  (2376) {G0,W8,D3,L2,V3,M2}  { ! leaf_occ( X, Y ), occurrence_of( Y, skol15
% 0.53/0.98    ( Z, Y ) ) }.
% 0.53/0.98  (2377) {G0,W9,D3,L2,V2,M2}  { ! leaf_occ( X, Y ), alpha5( X, Y, skol15( X, 
% 0.53/0.98    Y ) ) }.
% 0.53/0.98  (2378) {G0,W10,D2,L3,V3,M3}  { ! occurrence_of( Y, Z ), ! alpha5( X, Y, Z )
% 0.53/0.98    , leaf_occ( X, Y ) }.
% 0.53/0.98  (2379) {G0,W7,D2,L2,V3,M2}  { ! alpha5( X, Y, Z ), subactivity_occurrence( 
% 0.53/0.98    X, Y ) }.
% 0.53/0.98  (2380) {G0,W7,D2,L2,V3,M2}  { ! alpha5( X, Y, Z ), leaf( X, Z ) }.
% 0.53/0.98  (2381) {G0,W10,D2,L3,V3,M3}  { ! subactivity_occurrence( X, Y ), ! leaf( X
% 0.53/0.98    , Z ), alpha5( X, Y, Z ) }.
% 0.53/0.98  (2382) {G0,W7,D3,L2,V1,M2}  { ! occurrence_of( X, tptp0 ), alpha7( X, 
% 0.53/0.98    skol16( X ) ) }.
% 0.53/0.98  (2383) {G0,W8,D3,L2,V1,M2}  { ! occurrence_of( X, tptp0 ), alpha9( skol16( 
% 0.53/0.98    X ), skol21( X ) ) }.
% 0.53/0.98  (2384) {G0,W7,D3,L2,V1,M2}  { ! occurrence_of( X, tptp0 ), alpha11( X, 
% 0.53/0.98    skol21( X ) ) }.
% 0.53/0.98  (2385) {G0,W7,D3,L2,V4,M2}  { ! alpha11( X, Y ), alpha13( skol17( Z, T ) )
% 0.53/0.98     }.
% 0.53/0.98  (2386) {G0,W9,D3,L2,V3,M2}  { ! alpha11( X, Y ), next_subocc( Y, skol17( Z
% 0.53/0.98    , Y ), tptp0 ) }.
% 0.53/0.98  (2387) {G0,W8,D3,L2,V2,M2}  { ! alpha11( X, Y ), leaf_occ( skol17( X, Y ), 
% 0.53/0.98    X ) }.
% 0.53/0.98  (2388) {G0,W12,D2,L4,V3,M4}  { ! alpha13( Z ), ! next_subocc( Y, Z, tptp0 )
% 0.53/0.98    , ! leaf_occ( Z, X ), alpha11( X, Y ) }.
% 0.53/0.98  (2389) {G0,W8,D2,L3,V1,M3}  { ! alpha13( X ), occurrence_of( X, tptp1 ), 
% 0.53/0.98    occurrence_of( X, tptp2 ) }.
% 0.53/0.98  (2390) {G0,W5,D2,L2,V1,M2}  { ! occurrence_of( X, tptp1 ), alpha13( X ) }.
% 0.53/0.98  (2391) {G0,W5,D2,L2,V1,M2}  { ! occurrence_of( X, tptp2 ), alpha13( X ) }.
% 0.53/0.98  (2392) {G0,W6,D2,L2,V2,M2}  { ! alpha9( X, Y ), occurrence_of( Y, tptp4 )
% 0.53/0.98     }.
% 0.53/0.98  (2393) {G0,W7,D2,L2,V2,M2}  { ! alpha9( X, Y ), next_subocc( X, Y, tptp0 )
% 0.53/0.98     }.
% 0.53/0.98  (2394) {G0,W10,D2,L3,V2,M3}  { ! occurrence_of( Y, tptp4 ), ! next_subocc( 
% 0.53/0.98    X, Y, tptp0 ), alpha9( X, Y ) }.
% 0.53/0.98  (2395) {G0,W6,D2,L2,V2,M2}  { ! alpha7( X, Y ), occurrence_of( Y, tptp3 )
% 0.53/0.98     }.
% 0.53/0.98  (2396) {G0,W6,D2,L2,V2,M2}  { ! alpha7( X, Y ), root_occ( Y, X ) }.
% 0.53/0.98  (2397) {G0,W9,D2,L3,V2,M3}  { ! occurrence_of( Y, tptp3 ), ! root_occ( Y, X
% 0.53/0.98     ), alpha7( X, Y ) }.
% 0.53/0.98  (2398) {G0,W2,D2,L1,V0,M1}  { activity( tptp0 ) }.
% 0.53/0.98  (2399) {G0,W2,D2,L1,V0,M1}  { ! atomic( tptp0 ) }.
% 0.53/0.98  (2400) {G0,W2,D2,L1,V0,M1}  { atomic( tptp4 ) }.
% 0.53/0.98  (2401) {G0,W2,D2,L1,V0,M1}  { atomic( tptp1 ) }.
% 0.53/0.98  (2402) {G0,W2,D2,L1,V0,M1}  { atomic( tptp2 ) }.
% 0.53/0.98  (2403) {G0,W2,D2,L1,V0,M1}  { atomic( tptp3 ) }.
% 0.53/0.98  (2404) {G0,W3,D2,L1,V0,M1}  { ! tptp4 = tptp3 }.
% 0.53/0.98  (2405) {G0,W3,D2,L1,V0,M1}  { ! tptp4 = tptp1 }.
% 0.53/0.98  (2406) {G0,W3,D2,L1,V0,M1}  { ! tptp4 = tptp2 }.
% 0.53/0.98  (2407) {G0,W3,D2,L1,V0,M1}  { ! tptp3 = tptp1 }.
% 0.53/0.98  (2408) {G0,W3,D2,L1,V0,M1}  { ! tptp3 = tptp2 }.
% 0.53/0.98  (2409) {G0,W3,D2,L1,V0,M1}  { ! tptp1 = tptp2 }.
% 0.53/0.98  (2410) {G0,W3,D2,L1,V0,M1}  { occurrence_of( skol18, tptp0 ) }.
% 0.53/0.98  (2411) {G0,W9,D2,L3,V2,M3}  { ! leaf_occ( X, skol18 ), alpha12( X, Y ), 
% 0.53/0.98    occurrence_of( X, tptp2 ) }.
% 0.53/0.98  (2412) {G0,W8,D2,L3,V2,M3}  { ! leaf_occ( X, skol18 ), alpha12( X, Y ), 
% 0.53/0.98    alpha10( Y ) }.
% 0.53/0.98  (2413) {G0,W6,D2,L2,V2,M2}  { ! alpha12( X, Y ), occurrence_of( X, tptp1 )
% 0.53/0.98     }.
% 0.53/0.98  (2414) {G0,W5,D2,L2,V2,M2}  { ! alpha12( X, Y ), alpha8( Y ) }.
% 0.53/0.98  (2415) {G0,W8,D2,L3,V2,M3}  { ! occurrence_of( X, tptp1 ), ! alpha8( Y ), 
% 0.53/0.98    alpha12( X, Y ) }.
% 0.53/0.98  (2416) {G0,W6,D3,L2,V2,M2}  { ! alpha10( X ), occurrence_of( skol19( Y ), 
% 0.53/0.98    tptp1 ) }.
% 0.53/0.98  (2417) {G0,W7,D3,L2,V1,M2}  { ! alpha10( X ), min_precedes( X, skol19( X )
% 0.53/0.98    , tptp0 ) }.
% 0.53/0.98  (2418) {G0,W9,D2,L3,V2,M3}  { ! occurrence_of( Y, tptp1 ), ! min_precedes( 
% 0.53/0.98    X, Y, tptp0 ), alpha10( X ) }.
% 0.53/0.98  (2419) {G0,W6,D3,L2,V2,M2}  { ! alpha8( X ), occurrence_of( skol20( Y ), 
% 0.53/0.98    tptp2 ) }.
% 0.53/0.98  (2420) {G0,W7,D3,L2,V1,M2}  { ! alpha8( X ), min_precedes( X, skol20( X ), 
% 0.53/0.98    tptp0 ) }.
% 0.53/0.98  (2421) {G0,W9,D2,L3,V2,M3}  { ! occurrence_of( Y, tptp2 ), ! min_precedes( 
% 0.53/0.98    X, Y, tptp0 ), alpha8( X ) }.
% 0.53/0.98  
% 0.53/0.98  
% 0.53/0.98  Total Proof:
% 0.53/0.98  
% 0.53/0.98  subsumption: (9) {G0,W7,D2,L3,V2,M3} I { ! occurrence_of( X, Y ), ! 
% 0.53/0.98    arboreal( X ), atomic( Y ) }.
% 0.53/0.98  parent0: (2313) {G0,W7,D2,L3,V2,M3}  { ! occurrence_of( X, Y ), ! arboreal
% 0.53/0.98    ( X ), atomic( Y ) }.
% 0.53/0.98  substitution0:
% 0.53/0.98     X := X
% 0.53/0.98     Y := Y
% 0.53/0.98  end
% 0.53/0.98  permutation0:
% 0.53/0.98     0 ==> 0
% 0.53/0.98     1 ==> 1
% 0.53/0.98     2 ==> 2
% 0.53/0.98  end
% 0.53/0.98  
% 0.53/0.98  subsumption: (11) {G0,W4,D2,L2,V1,M2} I { ! legal( X ), arboreal( X ) }.
% 0.53/0.98  parent0: (2315) {G0,W4,D2,L2,V1,M2}  { ! legal( X ), arboreal( X ) }.
% 0.53/0.98  substitution0:
% 0.53/0.98     X := X
% 0.53/0.98  end
% 0.53/0.98  permutation0:
% 0.53/0.98     0 ==> 0
% 0.53/0.98     1 ==> 1
% 0.53/0.98  end
% 0.53/0.98  
% 0.53/0.98  subsumption: (12) {G0,W7,D2,L3,V2,M3} I { ! legal( Y ), ! earlier( X, Y ), 
% 0.53/0.98    legal( X ) }.
% 0.53/0.98  parent0: (2316) {G0,W7,D2,L3,V2,M3}  { ! legal( Y ), ! earlier( X, Y ), 
% 0.53/0.98    legal( X ) }.
% 0.53/0.98  substitution0:
% 0.53/0.98     X := X
% 0.53/0.98     Y := Y
% 0.53/0.98  end
% 0.53/0.98  permutation0:
% 0.53/0.98     0 ==> 0
% 0.53/0.98     1 ==> 1
% 0.53/0.98     2 ==> 2
% 0.53/0.98  end
% 0.53/0.98  
% 0.53/0.98  subsumption: (13) {G0,W6,D2,L2,V2,M2} I { ! precedes( X, Y ), earlier( X, Y
% 0.53/0.98     ) }.
% 0.53/0.98  parent0: (2317) {G0,W6,D2,L2,V2,M2}  { ! precedes( X, Y ), earlier( X, Y )
% 0.53/0.98     }.
% 0.53/0.98  substitution0:
% 0.53/0.98     X := X
% 0.53/0.98     Y := Y
% 0.53/0.98  end
% 0.53/0.98  permutation0:
% 0.53/0.98     0 ==> 0
% 0.53/0.98     1 ==> 1
% 0.53/0.98  end
% 0.53/0.98  
% 0.53/0.98  subsumption: (14) {G0,W5,D2,L2,V2,M2} I { ! precedes( X, Y ), legal( Y )
% 0.53/0.98     }.
% 0.53/0.98  parent0: (2318) {G0,W5,D2,L2,V2,M2}  { ! precedes( X, Y ), legal( Y ) }.
% 0.53/0.98  substitution0:
% 0.53/0.98     X := X
% 0.53/0.98     Y := Y
% 0.53/0.98  end
% 0.53/0.98  permutation0:
% 0.53/0.98     0 ==> 0
% 0.53/0.98     1 ==> 1
% 0.53/0.98  end
% 0.53/0.98  
% 0.53/0.98  subsumption: (27) {G0,W7,D2,L2,V3,M2} I { ! min_precedes( X, Y, Z ), 
% 0.53/0.98    precedes( X, Y ) }.
% 0.53/0.98  parent0: (2331) {G0,W7,D2,L2,V3,M2}  { ! min_precedes( X, Y, Z ), precedes
% 0.53/0.98    ( X, Y ) }.
% 0.53/0.98  substitution0:
% 0.53/0.98     X := X
% 0.53/0.98     Y := Y
% 0.53/0.98     Z := Z
% 0.53/0.98  end
% 0.53/0.98  permutation0:
% 0.53/0.98     0 ==> 0
% 0.53/0.98     1 ==> 1
% 0.53/0.98  end
% 0.53/0.98  
% 0.53/0.98  subsumption: (80) {G0,W7,D3,L2,V1,M2} I { ! occurrence_of( X, tptp0 ), 
% 0.53/0.98    alpha11( X, skol21( X ) ) }.
% 0.53/0.98  parent0: (2384) {G0,W7,D3,L2,V1,M2}  { ! occurrence_of( X, tptp0 ), alpha11
% 0.53/0.98    ( X, skol21( X ) ) }.
% 0.53/0.98  substitution0:
% 0.53/0.98     X := X
% 0.53/0.98  end
% 0.53/0.98  permutation0:
% 0.53/0.98     0 ==> 0
% 0.53/0.98     1 ==> 1
% 0.53/0.98  end
% 0.53/0.98  
% 0.53/0.98  subsumption: (83) {G0,W8,D3,L2,V2,M2} I { ! alpha11( X, Y ), leaf_occ( 
% 0.53/0.98    skol17( X, Y ), X ) }.
% 0.53/0.98  parent0: (2387) {G0,W8,D3,L2,V2,M2}  { ! alpha11( X, Y ), leaf_occ( skol17
% 0.53/0.98    ( X, Y ), X ) }.
% 0.53/0.98  substitution0:
% 0.53/0.98     X := X
% 0.53/0.98     Y := Y
% 0.53/0.98  end
% 0.53/0.98  permutation0:
% 0.53/0.98     0 ==> 0
% 0.53/0.98     1 ==> 1
% 0.53/0.98  end
% 0.53/0.98  
% 0.53/0.98  subsumption: (95) {G0,W2,D2,L1,V0,M1} I { ! atomic( tptp0 ) }.
% 0.53/0.98  parent0: (2399) {G0,W2,D2,L1,V0,M1}  { ! atomic( tptp0 ) }.
% 0.53/0.98  substitution0:
% 0.53/0.98  end
% 0.53/0.98  permutation0:
% 0.53/0.98     0 ==> 0
% 0.53/0.98  end
% 0.53/0.98  
% 0.53/0.98  subsumption: (106) {G0,W3,D2,L1,V0,M1} I { occurrence_of( skol18, tptp0 )
% 0.53/0.98     }.
% 0.53/0.98  parent0: (2410) {G0,W3,D2,L1,V0,M1}  { occurrence_of( skol18, tptp0 ) }.
% 0.53/0.98  substitution0:
% 0.53/0.98  end
% 0.53/0.98  permutation0:
% 0.53/0.98     0 ==> 0
% 0.53/0.98  end
% 0.53/0.98  
% 0.53/0.98  subsumption: (108) {G0,W8,D2,L3,V2,M3} I { ! leaf_occ( X, skol18 ), alpha12
% 0.53/0.98    ( X, Y ), alpha10( Y ) }.
% 0.53/0.98  parent0: (2412) {G0,W8,D2,L3,V2,M3}  { ! leaf_occ( X, skol18 ), alpha12( X
% 0.53/0.98    , Y ), alpha10( Y ) }.
% 0.53/0.98  substitution0:
% 0.53/0.98     X := X
% 0.53/0.98     Y := Y
% 0.53/0.98  end
% 0.53/0.98  permutation0:
% 0.53/0.98     0 ==> 0
% 0.53/0.98     1 ==> 1
% 0.53/0.98     2 ==> 2
% 0.53/0.98  end
% 0.53/0.98  
% 0.53/0.98  subsumption: (110) {G0,W5,D2,L2,V2,M2} I { ! alpha12( X, Y ), alpha8( Y )
% 0.53/0.98     }.
% 0.53/0.98  parent0: (2414) {G0,W5,D2,L2,V2,M2}  { ! alpha12( X, Y ), alpha8( Y ) }.
% 0.53/0.98  substitution0:
% 0.53/0.98     X := X
% 0.53/0.98     Y := Y
% 0.53/0.98  end
% 0.53/0.98  permutation0:
% 0.53/0.98     0 ==> 0
% 0.53/0.98     1 ==> 1
% 0.53/0.98  end
% 0.53/0.98  
% 0.53/0.98  subsumption: (113) {G0,W7,D3,L2,V1,M2} I { ! alpha10( X ), min_precedes( X
% 0.53/0.98    , skol19( X ), tptp0 ) }.
% 0.53/0.98  parent0: (2417) {G0,W7,D3,L2,V1,M2}  { ! alpha10( X ), min_precedes( X, 
% 0.53/0.98    skol19( X ), tptp0 ) }.
% 0.53/0.98  substitution0:
% 0.53/0.98     X := X
% 0.53/0.98  end
% 0.53/0.98  permutation0:
% 0.53/0.98     0 ==> 0
% 0.53/0.98     1 ==> 1
% 0.53/0.98  end
% 0.53/0.98  
% 0.53/0.98  subsumption: (116) {G0,W7,D3,L2,V1,M2} I { ! alpha8( X ), min_precedes( X, 
% 0.53/0.98    skol20( X ), tptp0 ) }.
% 0.53/0.98  parent0: (2420) {G0,W7,D3,L2,V1,M2}  { ! alpha8( X ), min_precedes( X, 
% 0.53/0.98    skol20( X ), tptp0 ) }.
% 0.53/0.98  substitution0:
% 0.53/0.98     X := X
% 0.53/0.98  end
% 0.53/0.98  permutation0:
% 0.53/0.98     0 ==> 0
% 0.53/0.98     1 ==> 1
% 0.53/0.98  end
% 0.53/0.98  
% 0.53/0.98  resolution: (2643) {G1,W4,D2,L2,V0,M2}  { ! arboreal( skol18 ), atomic( 
% 0.53/0.98    tptp0 ) }.
% 0.53/0.98  parent0[0]: (9) {G0,W7,D2,L3,V2,M3} I { ! occurrence_of( X, Y ), ! arboreal
% 0.53/0.98    ( X ), atomic( Y ) }.
% 0.53/0.98  parent1[0]: (106) {G0,W3,D2,L1,V0,M1} I { occurrence_of( skol18, tptp0 )
% 0.53/0.98     }.
% 0.53/0.98  substitution0:
% 0.53/0.98     X := skol18
% 0.53/0.98     Y := tptp0
% 0.53/0.98  end
% 0.53/0.98  substitution1:
% 0.53/0.98  end
% 0.53/0.98  
% 0.53/0.98  resolution: (2644) {G1,W2,D2,L1,V0,M1}  { ! arboreal( skol18 ) }.
% 0.53/0.98  parent0[0]: (95) {G0,W2,D2,L1,V0,M1} I { ! atomic( tptp0 ) }.
% 0.53/0.98  parent1[1]: (2643) {G1,W4,D2,L2,V0,M2}  { ! arboreal( skol18 ), atomic( 
% 0.53/0.98    tptp0 ) }.
% 0.53/0.98  substitution0:
% 0.53/0.98  end
% 0.53/0.98  substitution1:
% 0.53/0.98  end
% 0.53/0.98  
% 0.53/0.98  subsumption: (222) {G1,W2,D2,L1,V0,M1} R(9,106);r(95) { ! arboreal( skol18
% 0.53/0.98     ) }.
% 0.53/0.98  parent0: (2644) {G1,W2,D2,L1,V0,M1}  { ! arboreal( skol18 ) }.
% 0.53/0.98  substitution0:
% 0.53/0.98  end
% 0.53/0.98  permutation0:
% 0.53/0.98     0 ==> 0
% 0.53/0.98  end
% 0.53/0.98  
% 0.53/0.98  resolution: (2645) {G1,W2,D2,L1,V0,M1}  { ! legal( skol18 ) }.
% 0.53/0.98  parent0[0]: (222) {G1,W2,D2,L1,V0,M1} R(9,106);r(95) { ! arboreal( skol18 )
% 0.53/0.98     }.
% 0.53/0.98  parent1[1]: (11) {G0,W4,D2,L2,V1,M2} I { ! legal( X ), arboreal( X ) }.
% 0.53/0.98  substitution0:
% 0.53/0.98  end
% 0.53/0.98  substitution1:
% 0.53/0.98     X := skol18
% 0.53/0.98  end
% 0.53/0.98  
% 0.53/0.98  subsumption: (226) {G2,W2,D2,L1,V0,M1} R(222,11) { ! legal( skol18 ) }.
% 0.53/0.98  parent0: (2645) {G1,W2,D2,L1,V0,M1}  { ! legal( skol18 ) }.
% 0.53/0.98  substitution0:
% 0.53/0.98  end
% 0.53/0.98  permutation0:
% 0.53/0.98     0 ==> 0
% 0.53/0.98  end
% 0.53/0.98  
% 0.53/0.98  resolution: (2646) {G1,W5,D2,L2,V1,M2}  { ! legal( X ), ! earlier( skol18, 
% 0.53/0.98    X ) }.
% 0.53/0.98  parent0[0]: (226) {G2,W2,D2,L1,V0,M1} R(222,11) { ! legal( skol18 ) }.
% 0.53/0.98  parent1[2]: (12) {G0,W7,D2,L3,V2,M3} I { ! legal( Y ), ! earlier( X, Y ), 
% 0.53/0.98    legal( X ) }.
% 0.53/0.98  substitution0:
% 0.53/0.98  end
% 0.53/0.98  substitution1:
% 0.53/0.98     X := skol18
% 0.53/0.98     Y := X
% 0.53/0.98  end
% 0.53/0.98  
% 0.53/0.98  subsumption: (252) {G3,W5,D2,L2,V1,M2} R(12,226) { ! legal( X ), ! earlier
% 0.53/0.98    ( skol18, X ) }.
% 0.53/0.98  parent0: (2646) {G1,W5,D2,L2,V1,M2}  { ! legal( X ), ! earlier( skol18, X )
% 0.53/0.98     }.
% 0.53/0.98  substitution0:
% 0.53/0.98     X := X
% 0.53/0.98  end
% 0.53/0.98  permutation0:
% 0.53/0.98     0 ==> 0
% 0.53/0.98     1 ==> 1
% 0.53/0.98  end
% 0.53/0.98  
% 0.53/0.98  resolution: (2647) {G1,W5,D2,L2,V1,M2}  { ! legal( X ), ! precedes( skol18
% 0.53/0.98    , X ) }.
% 0.53/0.98  parent0[1]: (252) {G3,W5,D2,L2,V1,M2} R(12,226) { ! legal( X ), ! earlier( 
% 0.53/0.98    skol18, X ) }.
% 0.53/0.98  parent1[1]: (13) {G0,W6,D2,L2,V2,M2} I { ! precedes( X, Y ), earlier( X, Y
% 0.53/0.98     ) }.
% 0.53/0.98  substitution0:
% 0.53/0.98     X := X
% 0.53/0.98  end
% 0.53/0.98  substitution1:
% 0.53/0.98     X := skol18
% 0.53/0.98     Y := X
% 0.53/0.98  end
% 0.53/0.98  
% 0.53/0.98  subsumption: (281) {G4,W5,D2,L2,V1,M2} R(13,252) { ! precedes( skol18, X )
% 0.53/0.98    , ! legal( X ) }.
% 0.53/0.98  parent0: (2647) {G1,W5,D2,L2,V1,M2}  { ! legal( X ), ! precedes( skol18, X
% 0.53/0.98     ) }.
% 0.53/0.98  substitution0:
% 0.53/0.98     X := X
% 0.53/0.98  end
% 0.53/0.98  permutation0:
% 0.53/0.98     0 ==> 1
% 0.53/0.98     1 ==> 0
% 0.53/0.98  end
% 0.53/0.98  
% 0.53/0.98  resolution: (2648) {G1,W6,D2,L2,V2,M2}  { ! precedes( skol18, X ), ! 
% 0.53/0.98    precedes( Y, X ) }.
% 0.53/0.98  parent0[1]: (281) {G4,W5,D2,L2,V1,M2} R(13,252) { ! precedes( skol18, X ), 
% 0.53/0.98    ! legal( X ) }.
% 0.53/0.98  parent1[1]: (14) {G0,W5,D2,L2,V2,M2} I { ! precedes( X, Y ), legal( Y ) }.
% 0.53/0.98  substitution0:
% 0.53/0.98     X := X
% 0.53/0.98  end
% 0.53/0.98  substitution1:
% 0.53/0.98     X := Y
% 0.53/0.98     Y := X
% 0.53/0.98  end
% 0.53/0.98  
% 0.53/0.98  subsumption: (299) {G5,W6,D2,L2,V2,M2} R(281,14) { ! precedes( skol18, X )
% 0.53/0.98    , ! precedes( Y, X ) }.
% 0.53/0.98  parent0: (2648) {G1,W6,D2,L2,V2,M2}  { ! precedes( skol18, X ), ! precedes
% 0.53/0.98    ( Y, X ) }.
% 0.53/0.98  substitution0:
% 0.53/0.98     X := X
% 0.53/0.98     Y := skol18
% 0.53/0.98  end
% 0.53/0.98  permutation0:
% 0.53/0.98     0 ==> 0
% 0.53/0.98     1 ==> 0
% 0.53/0.98  end
% 0.53/0.98  
% 0.53/0.98  factor: (2650) {G5,W3,D2,L1,V1,M1}  { ! precedes( skol18, X ) }.
% 0.53/0.98  parent0[0, 1]: (299) {G5,W6,D2,L2,V2,M2} R(281,14) { ! precedes( skol18, X
% 0.53/0.98     ), ! precedes( Y, X ) }.
% 0.53/0.98  substitution0:
% 0.53/0.98     X := X
% 0.53/0.98     Y := skol18
% 0.53/0.98  end
% 0.53/0.98  
% 0.53/0.98  subsumption: (301) {G6,W3,D2,L1,V1,M1} F(299) { ! precedes( skol18, X ) }.
% 0.53/0.98  parent0: (2650) {G5,W3,D2,L1,V1,M1}  { ! precedes( skol18, X ) }.
% 0.53/0.98  substitution0:
% 0.53/0.98     X := X
% 0.53/0.98  end
% 0.53/0.98  permutation0:
% 0.53/0.98     0 ==> 0
% 0.53/0.98  end
% 0.53/0.98  
% 0.53/0.98  resolution: (2651) {G1,W4,D2,L1,V2,M1}  { ! min_precedes( skol18, X, Y )
% 0.53/0.98     }.
% 0.53/0.98  parent0[0]: (301) {G6,W3,D2,L1,V1,M1} F(299) { ! precedes( skol18, X ) }.
% 0.53/0.98  parent1[1]: (27) {G0,W7,D2,L2,V3,M2} I { ! min_precedes( X, Y, Z ), 
% 0.53/0.98    precedes( X, Y ) }.
% 0.53/0.98  substitution0:
% 0.53/0.98     X := X
% 0.53/0.98  end
% 0.53/0.98  substitution1:
% 0.53/0.98     X := skol18
% 0.53/0.98     Y := X
% 0.53/0.98     Z := Y
% 0.53/0.98  end
% 0.53/0.98  
% 0.53/0.98  subsumption: (450) {G7,W4,D2,L1,V2,M1} R(27,301) { ! min_precedes( skol18, 
% 0.53/0.98    X, Y ) }.
% 0.53/0.98  parent0: (2651) {G1,W4,D2,L1,V2,M1}  { ! min_precedes( skol18, X, Y ) }.
% 0.53/0.98  substitution0:
% 0.53/0.98     X := X
% 0.53/0.98     Y := Y
% 0.53/0.98  end
% 0.53/0.98  permutation0:
% 0.53/0.98     0 ==> 0
% 0.53/0.98  end
% 0.53/0.98  
% 0.53/0.98  resolution: (2652) {G1,W4,D3,L1,V0,M1}  { alpha11( skol18, skol21( skol18 )
% 0.53/0.98     ) }.
% 0.53/0.98  parent0[0]: (80) {G0,W7,D3,L2,V1,M2} I { ! occurrence_of( X, tptp0 ), 
% 0.53/0.98    alpha11( X, skol21( X ) ) }.
% 0.53/0.98  parent1[0]: (106) {G0,W3,D2,L1,V0,M1} I { occurrence_of( skol18, tptp0 )
% 0.53/0.98     }.
% 0.53/0.98  substitution0:
% 0.53/0.98     X := skol18
% 0.53/0.98  end
% 0.53/0.98  substitution1:
% 0.53/0.98  end
% 0.53/0.98  
% 0.53/0.98  subsumption: (1803) {G1,W4,D3,L1,V0,M1} R(80,106) { alpha11( skol18, skol21
% 0.53/0.98    ( skol18 ) ) }.
% 0.53/0.98  parent0: (2652) {G1,W4,D3,L1,V0,M1}  { alpha11( skol18, skol21( skol18 ) )
% 0.53/0.98     }.
% 0.53/0.98  substitution0:
% 0.53/0.98  end
% 0.53/0.98  permutation0:
% 0.53/0.98     0 ==> 0
% 0.53/0.98  end
% 0.53/0.98  
% 0.53/0.98  resolution: (2653) {G1,W2,D2,L1,V0,M1}  { ! alpha10( skol18 ) }.
% 0.53/0.98  parent0[0]: (450) {G7,W4,D2,L1,V2,M1} R(27,301) { ! min_precedes( skol18, X
% 0.53/0.98    , Y ) }.
% 0.53/0.98  parent1[1]: (113) {G0,W7,D3,L2,V1,M2} I { ! alpha10( X ), min_precedes( X, 
% 0.53/0.98    skol19( X ), tptp0 ) }.
% 0.53/0.98  substitution0:
% 0.53/0.98     X := skol19( skol18 )
% 0.53/0.98     Y := tptp0
% 0.53/0.98  end
% 0.53/0.98  substitution1:
% 0.53/0.98     X := skol18
% 0.53/0.98  end
% 0.53/0.98  
% 0.53/0.98  subsumption: (2179) {G8,W2,D2,L1,V0,M1} R(113,450) { ! alpha10( skol18 )
% 0.53/0.98     }.
% 0.53/0.98  parent0: (2653) {G1,W2,D2,L1,V0,M1}  { ! alpha10( skol18 ) }.
% 0.53/0.98  substitution0:
% 0.53/0.98  end
% 0.53/0.98  permutation0:
% 0.53/0.98     0 ==> 0
% 0.53/0.98  end
% 0.53/0.98  
% 0.53/0.98  resolution: (2654) {G1,W2,D2,L1,V0,M1}  { ! alpha8( skol18 ) }.
% 0.53/0.98  parent0[0]: (450) {G7,W4,D2,L1,V2,M1} R(27,301) { ! min_precedes( skol18, X
% 0.53/0.98    , Y ) }.
% 0.53/0.98  parent1[1]: (116) {G0,W7,D3,L2,V1,M2} I { ! alpha8( X ), min_precedes( X, 
% 0.53/0.98    skol20( X ), tptp0 ) }.
% 0.53/0.98  substitution0:
% 0.53/0.98     X := skol20( skol18 )
% 0.53/0.98     Y := tptp0
% 0.53/0.98  end
% 0.53/0.98  substitution1:
% 0.53/0.98     X := skol18
% 0.53/0.98  end
% 0.53/0.98  
% 0.53/0.98  subsumption: (2279) {G8,W2,D2,L1,V0,M1} R(116,450) { ! alpha8( skol18 ) }.
% 0.53/0.98  parent0: (2654) {G1,W2,D2,L1,V0,M1}  { ! alpha8( skol18 ) }.
% 0.53/0.98  substitution0:
% 0.53/0.98  end
% 0.53/0.98  permutation0:
% 0.53/0.98     0 ==> 0
% 0.53/0.98  end
% 0.53/0.98  
% 0.53/0.98  resolution: (2655) {G1,W3,D2,L1,V1,M1}  { ! alpha12( X, skol18 ) }.
% 0.53/0.98  parent0[0]: (2279) {G8,W2,D2,L1,V0,M1} R(116,450) { ! alpha8( skol18 ) }.
% 0.53/0.98  parent1[1]: (110) {G0,W5,D2,L2,V2,M2} I { ! alpha12( X, Y ), alpha8( Y )
% 0.53/0.98     }.
% 0.53/0.98  substitution0:
% 0.53/0.98  end
% 0.53/0.98  substitution1:
% 0.53/0.98     X := X
% 0.53/0.98     Y := skol18
% 0.53/0.98  end
% 0.53/0.98  
% 0.53/0.98  subsumption: (2295) {G9,W3,D2,L1,V1,M1} R(2279,110) { ! alpha12( X, skol18
% 0.53/0.98     ) }.
% 0.53/0.98  parent0: (2655) {G1,W3,D2,L1,V1,M1}  { ! alpha12( X, skol18 ) }.
% 0.53/0.98  substitution0:
% 0.53/0.98     X := X
% 0.53/0.98  end
% 0.53/0.98  permutation0:
% 0.53/0.98     0 ==> 0
% 0.53/0.98  end
% 0.53/0.98  
% 0.53/0.98  resolution: (2656) {G1,W5,D2,L2,V1,M2}  { ! leaf_occ( X, skol18 ), alpha10
% 0.53/0.98    ( skol18 ) }.
% 0.53/0.98  parent0[0]: (2295) {G9,W3,D2,L1,V1,M1} R(2279,110) { ! alpha12( X, skol18 )
% 0.53/0.98     }.
% 0.53/0.98  parent1[1]: (108) {G0,W8,D2,L3,V2,M3} I { ! leaf_occ( X, skol18 ), alpha12
% 0.53/0.98    ( X, Y ), alpha10( Y ) }.
% 0.53/0.98  substitution0:
% 0.53/0.98     X := X
% 0.53/0.98  end
% 0.53/0.98  substitution1:
% 0.53/0.98     X := X
% 0.53/0.98     Y := skol18
% 0.53/0.98  end
% 0.53/0.98  
% 0.53/0.98  resolution: (2657) {G2,W3,D2,L1,V1,M1}  { ! leaf_occ( X, skol18 ) }.
% 0.53/0.98  parent0[0]: (2179) {G8,W2,D2,L1,V0,M1} R(113,450) { ! alpha10( skol18 ) }.
% 0.53/0.98  parent1[1]: (2656) {G1,W5,D2,L2,V1,M2}  { ! leaf_occ( X, skol18 ), alpha10
% 0.53/0.98    ( skol18 ) }.
% 0.53/0.98  substitution0:
% 0.53/0.98  end
% 0.53/0.98  substitution1:
% 0.53/0.98     X := X
% 0.53/0.98  end
% 0.53/0.98  
% 0.53/0.98  subsumption: (2296) {G10,W3,D2,L1,V1,M1} R(2295,108);r(2179) { ! leaf_occ( 
% 0.53/0.98    X, skol18 ) }.
% 0.53/0.98  parent0: (2657) {G2,W3,D2,L1,V1,M1}  { ! leaf_occ( X, skol18 ) }.
% 0.53/0.98  substitution0:
% 0.53/0.98     X := X
% 0.53/0.98  end
% 0.53/0.98  permutation0:
% 0.53/0.98     0 ==> 0
% 0.53/0.98  end
% 0.53/0.98  
% 0.53/0.98  resolution: (2658) {G1,W3,D2,L1,V1,M1}  { ! alpha11( skol18, X ) }.
% 0.53/0.98  parent0[0]: (2296) {G10,W3,D2,L1,V1,M1} R(2295,108);r(2179) { ! leaf_occ( X
% 0.53/0.98    , skol18 ) }.
% 0.53/0.98  parent1[1]: (83) {G0,W8,D3,L2,V2,M2} I { ! alpha11( X, Y ), leaf_occ( 
% 0.53/0.98    skol17( X, Y ), X ) }.
% 0.53/0.98  substitution0:
% 0.53/0.98     X := skol17( skol18, X )
% 0.53/0.98  end
% 0.53/0.98  substitution1:
% 0.53/0.98     X := skol18
% 0.53/0.98     Y := X
% 0.53/0.98  end
% 0.53/0.98  
% 0.53/0.98  subsumption: (2297) {G11,W3,D2,L1,V1,M1} R(2296,83) { ! alpha11( skol18, X
% 0.53/0.98     ) }.
% 0.53/0.98  parent0: (2658) {G1,W3,D2,L1,V1,M1}  { ! alpha11( skol18, X ) }.
% 0.53/0.98  substitution0:
% 0.53/0.98     X := X
% 0.53/0.98  end
% 0.53/0.98  permutation0:
% 0.53/0.98     0 ==> 0
% 0.53/0.98  end
% 0.53/0.98  
% 0.53/0.98  resolution: (2659) {G2,W0,D0,L0,V0,M0}  {  }.
% 0.53/0.98  parent0[0]: (2297) {G11,W3,D2,L1,V1,M1} R(2296,83) { ! alpha11( skol18, X )
% 0.53/0.98     }.
% 0.53/0.98  parent1[0]: (1803) {G1,W4,D3,L1,V0,M1} R(80,106) { alpha11( skol18, skol21
% 0.53/0.98    ( skol18 ) ) }.
% 0.53/0.98  substitution0:
% 0.53/0.98     X := skol21( skol18 )
% 0.53/0.98  end
% 0.53/0.98  substitution1:
% 0.53/0.98  end
% 0.53/0.98  
% 0.53/0.98  subsumption: (2302) {G12,W0,D0,L0,V0,M0} R(2297,1803) {  }.
% 0.53/0.98  parent0: (2659) {G2,W0,D0,L0,V0,M0}  {  }.
% 0.53/0.98  substitution0:
% 0.53/0.98  end
% 0.53/0.98  permutation0:
% 0.53/0.98  end
% 0.53/0.98  
% 0.53/0.98  Proof check complete!
% 0.53/0.98  
% 0.53/0.98  Memory use:
% 0.53/0.98  
% 0.53/0.98  space for terms:        33568
% 0.53/0.98  space for clauses:      102277
% 0.53/0.98  
% 0.53/0.98  
% 0.53/0.98  clauses generated:      6929
% 0.53/0.98  clauses kept:           2303
% 0.53/0.98  clauses selected:       424
% 0.53/0.98  clauses deleted:        33
% 0.53/0.98  clauses inuse deleted:  17
% 0.53/0.98  
% 0.53/0.98  subsentry:          11558
% 0.53/0.98  literals s-matched: 8579
% 0.53/0.98  literals matched:   8161
% 0.53/0.98  full subsumption:   3819
% 0.53/0.98  
% 0.53/0.98  checksum:           1571375322
% 0.53/0.98  
% 0.53/0.98  
% 0.53/0.98  Bliksem ended
%------------------------------------------------------------------------------