TSTP Solution File: SET925+1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SET925+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 0s
% DateTime : Mon Jul 18 22:53:23 EDT 2022

% Result   : Theorem 0.42s 1.05s
% Output   : Refutation 0.42s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET925+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n008.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % DateTime : Mon Jul 11 04:21:08 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.42/1.05  *** allocated 10000 integers for termspace/termends
% 0.42/1.05  *** allocated 10000 integers for clauses
% 0.42/1.05  *** allocated 10000 integers for justifications
% 0.42/1.05  Bliksem 1.12
% 0.42/1.05  
% 0.42/1.05  
% 0.42/1.05  Automatic Strategy Selection
% 0.42/1.05  
% 0.42/1.05  
% 0.42/1.05  Clauses:
% 0.42/1.05  
% 0.42/1.05  { ! in( X, Y ), ! in( Y, X ) }.
% 0.42/1.05  { empty( empty_set ) }.
% 0.42/1.05  { empty( skol1 ) }.
% 0.42/1.05  { ! empty( skol2 ) }.
% 0.42/1.05  { alpha1( skol3, skol4 ), in( skol3, skol4 ) }.
% 0.42/1.05  { alpha1( skol3, skol4 ), ! set_difference( singleton( skol3 ), skol4 ) = 
% 0.42/1.05    empty_set }.
% 0.42/1.05  { ! alpha1( X, Y ), set_difference( singleton( X ), Y ) = empty_set }.
% 0.42/1.05  { ! alpha1( X, Y ), ! in( X, Y ) }.
% 0.42/1.05  { ! set_difference( singleton( X ), Y ) = empty_set, in( X, Y ), alpha1( X
% 0.42/1.05    , Y ) }.
% 0.42/1.05  { ! set_difference( singleton( X ), Y ) = empty_set, in( X, Y ) }.
% 0.42/1.05  { ! in( X, Y ), set_difference( singleton( X ), Y ) = empty_set }.
% 0.42/1.05  
% 0.42/1.05  percentage equality = 0.250000, percentage horn = 0.818182
% 0.42/1.05  This is a problem with some equality
% 0.42/1.05  
% 0.42/1.05  
% 0.42/1.05  
% 0.42/1.05  Options Used:
% 0.42/1.05  
% 0.42/1.05  useres =            1
% 0.42/1.05  useparamod =        1
% 0.42/1.05  useeqrefl =         1
% 0.42/1.05  useeqfact =         1
% 0.42/1.05  usefactor =         1
% 0.42/1.05  usesimpsplitting =  0
% 0.42/1.05  usesimpdemod =      5
% 0.42/1.05  usesimpres =        3
% 0.42/1.05  
% 0.42/1.05  resimpinuse      =  1000
% 0.42/1.05  resimpclauses =     20000
% 0.42/1.05  substype =          eqrewr
% 0.42/1.05  backwardsubs =      1
% 0.42/1.05  selectoldest =      5
% 0.42/1.05  
% 0.42/1.05  litorderings [0] =  split
% 0.42/1.05  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.42/1.05  
% 0.42/1.05  termordering =      kbo
% 0.42/1.05  
% 0.42/1.05  litapriori =        0
% 0.42/1.05  termapriori =       1
% 0.42/1.05  litaposteriori =    0
% 0.42/1.05  termaposteriori =   0
% 0.42/1.05  demodaposteriori =  0
% 0.42/1.05  ordereqreflfact =   0
% 0.42/1.05  
% 0.42/1.05  litselect =         negord
% 0.42/1.05  
% 0.42/1.05  maxweight =         15
% 0.42/1.05  maxdepth =          30000
% 0.42/1.05  maxlength =         115
% 0.42/1.05  maxnrvars =         195
% 0.42/1.05  excuselevel =       1
% 0.42/1.05  increasemaxweight = 1
% 0.42/1.05  
% 0.42/1.05  maxselected =       10000000
% 0.42/1.05  maxnrclauses =      10000000
% 0.42/1.05  
% 0.42/1.05  showgenerated =    0
% 0.42/1.05  showkept =         0
% 0.42/1.05  showselected =     0
% 0.42/1.05  showdeleted =      0
% 0.42/1.05  showresimp =       1
% 0.42/1.05  showstatus =       2000
% 0.42/1.05  
% 0.42/1.05  prologoutput =     0
% 0.42/1.05  nrgoals =          5000000
% 0.42/1.05  totalproof =       1
% 0.42/1.05  
% 0.42/1.05  Symbols occurring in the translation:
% 0.42/1.05  
% 0.42/1.05  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.42/1.05  .  [1, 2]      (w:1, o:20, a:1, s:1, b:0), 
% 0.42/1.05  !  [4, 1]      (w:0, o:13, a:1, s:1, b:0), 
% 0.42/1.05  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.42/1.05  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.42/1.05  in  [37, 2]      (w:1, o:44, a:1, s:1, b:0), 
% 0.42/1.05  empty_set  [38, 0]      (w:1, o:8, a:1, s:1, b:0), 
% 0.42/1.05  empty  [39, 1]      (w:1, o:18, a:1, s:1, b:0), 
% 0.42/1.05  singleton  [40, 1]      (w:1, o:19, a:1, s:1, b:0), 
% 0.42/1.05  set_difference  [41, 2]      (w:1, o:45, a:1, s:1, b:0), 
% 0.42/1.05  alpha1  [42, 2]      (w:1, o:46, a:1, s:1, b:1), 
% 0.42/1.05  skol1  [43, 0]      (w:1, o:9, a:1, s:1, b:1), 
% 0.42/1.05  skol2  [44, 0]      (w:1, o:10, a:1, s:1, b:1), 
% 0.42/1.05  skol3  [45, 0]      (w:1, o:11, a:1, s:1, b:1), 
% 0.42/1.05  skol4  [46, 0]      (w:1, o:12, a:1, s:1, b:1).
% 0.42/1.05  
% 0.42/1.05  
% 0.42/1.05  Starting Search:
% 0.42/1.05  
% 0.42/1.05  
% 0.42/1.05  Bliksems!, er is een bewijs:
% 0.42/1.05  % SZS status Theorem
% 0.42/1.05  % SZS output start Refutation
% 0.42/1.05  
% 0.42/1.05  (4) {G0,W6,D2,L2,V0,M2} I { alpha1( skol3, skol4 ), in( skol3, skol4 ) }.
% 0.42/1.05  (5) {G0,W9,D4,L2,V0,M2} I { alpha1( skol3, skol4 ), ! set_difference( 
% 0.42/1.05    singleton( skol3 ), skol4 ) ==> empty_set }.
% 0.42/1.05  (6) {G0,W9,D4,L2,V2,M2} I { ! alpha1( X, Y ), set_difference( singleton( X
% 0.42/1.05     ), Y ) ==> empty_set }.
% 0.42/1.05  (7) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! in( X, Y ) }.
% 0.42/1.05  (9) {G0,W9,D4,L2,V2,M2} I { ! set_difference( singleton( X ), Y ) ==> 
% 0.42/1.05    empty_set, in( X, Y ) }.
% 0.42/1.05  (10) {G0,W9,D4,L2,V2,M2} I { ! in( X, Y ), set_difference( singleton( X ), 
% 0.42/1.05    Y ) ==> empty_set }.
% 0.42/1.05  (13) {G1,W3,D2,L1,V0,M1} R(10,4);r(5) { alpha1( skol3, skol4 ) }.
% 0.42/1.05  (17) {G1,W3,D2,L1,V2,M1} R(9,7);d(6);q { ! alpha1( X, Y ) }.
% 0.42/1.05  (19) {G2,W0,D0,L0,V0,M0} R(17,13) {  }.
% 0.42/1.05  
% 0.42/1.05  
% 0.42/1.05  % SZS output end Refutation
% 0.42/1.05  found a proof!
% 0.42/1.05  
% 0.42/1.05  
% 0.42/1.05  Unprocessed initial clauses:
% 0.42/1.05  
% 0.42/1.05  (21) {G0,W6,D2,L2,V2,M2}  { ! in( X, Y ), ! in( Y, X ) }.
% 0.42/1.05  (22) {G0,W2,D2,L1,V0,M1}  { empty( empty_set ) }.
% 0.42/1.05  (23) {G0,W2,D2,L1,V0,M1}  { empty( skol1 ) }.
% 0.42/1.05  (24) {G0,W2,D2,L1,V0,M1}  { ! empty( skol2 ) }.
% 0.42/1.05  (25) {G0,W6,D2,L2,V0,M2}  { alpha1( skol3, skol4 ), in( skol3, skol4 ) }.
% 0.42/1.05  (26) {G0,W9,D4,L2,V0,M2}  { alpha1( skol3, skol4 ), ! set_difference( 
% 0.42/1.05    singleton( skol3 ), skol4 ) = empty_set }.
% 0.42/1.05  (27) {G0,W9,D4,L2,V2,M2}  { ! alpha1( X, Y ), set_difference( singleton( X
% 0.42/1.05     ), Y ) = empty_set }.
% 0.42/1.05  (28) {G0,W6,D2,L2,V2,M2}  { ! alpha1( X, Y ), ! in( X, Y ) }.
% 0.42/1.05  (29) {G0,W12,D4,L3,V2,M3}  { ! set_difference( singleton( X ), Y ) = 
% 0.42/1.05    empty_set, in( X, Y ), alpha1( X, Y ) }.
% 0.42/1.05  (30) {G0,W9,D4,L2,V2,M2}  { ! set_difference( singleton( X ), Y ) = 
% 0.42/1.05    empty_set, in( X, Y ) }.
% 0.42/1.05  (31) {G0,W9,D4,L2,V2,M2}  { ! in( X, Y ), set_difference( singleton( X ), Y
% 0.42/1.05     ) = empty_set }.
% 0.42/1.05  
% 0.42/1.05  
% 0.42/1.05  Total Proof:
% 0.42/1.05  
% 0.42/1.05  subsumption: (4) {G0,W6,D2,L2,V0,M2} I { alpha1( skol3, skol4 ), in( skol3
% 0.42/1.05    , skol4 ) }.
% 0.42/1.05  parent0: (25) {G0,W6,D2,L2,V0,M2}  { alpha1( skol3, skol4 ), in( skol3, 
% 0.42/1.05    skol4 ) }.
% 0.42/1.05  substitution0:
% 0.42/1.05  end
% 0.42/1.05  permutation0:
% 0.42/1.05     0 ==> 0
% 0.42/1.05     1 ==> 1
% 0.42/1.05  end
% 0.42/1.05  
% 0.42/1.05  subsumption: (5) {G0,W9,D4,L2,V0,M2} I { alpha1( skol3, skol4 ), ! 
% 0.42/1.05    set_difference( singleton( skol3 ), skol4 ) ==> empty_set }.
% 0.42/1.05  parent0: (26) {G0,W9,D4,L2,V0,M2}  { alpha1( skol3, skol4 ), ! 
% 0.42/1.05    set_difference( singleton( skol3 ), skol4 ) = empty_set }.
% 0.42/1.05  substitution0:
% 0.42/1.05  end
% 0.42/1.05  permutation0:
% 0.42/1.05     0 ==> 0
% 0.42/1.05     1 ==> 1
% 0.42/1.05  end
% 0.42/1.05  
% 0.42/1.05  subsumption: (6) {G0,W9,D4,L2,V2,M2} I { ! alpha1( X, Y ), set_difference( 
% 0.42/1.05    singleton( X ), Y ) ==> empty_set }.
% 0.42/1.05  parent0: (27) {G0,W9,D4,L2,V2,M2}  { ! alpha1( X, Y ), set_difference( 
% 0.42/1.05    singleton( X ), Y ) = empty_set }.
% 0.42/1.05  substitution0:
% 0.42/1.05     X := X
% 0.42/1.05     Y := Y
% 0.42/1.05  end
% 0.42/1.05  permutation0:
% 0.42/1.05     0 ==> 0
% 0.42/1.05     1 ==> 1
% 0.42/1.05  end
% 0.42/1.05  
% 0.42/1.05  subsumption: (7) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! in( X, Y ) }.
% 0.42/1.05  parent0: (28) {G0,W6,D2,L2,V2,M2}  { ! alpha1( X, Y ), ! in( X, Y ) }.
% 0.42/1.05  substitution0:
% 0.42/1.05     X := X
% 0.42/1.05     Y := Y
% 0.42/1.05  end
% 0.42/1.05  permutation0:
% 0.42/1.05     0 ==> 0
% 0.42/1.05     1 ==> 1
% 0.42/1.05  end
% 0.42/1.05  
% 0.42/1.05  subsumption: (9) {G0,W9,D4,L2,V2,M2} I { ! set_difference( singleton( X ), 
% 0.42/1.05    Y ) ==> empty_set, in( X, Y ) }.
% 0.42/1.05  parent0: (30) {G0,W9,D4,L2,V2,M2}  { ! set_difference( singleton( X ), Y ) 
% 0.42/1.05    = empty_set, in( X, Y ) }.
% 0.42/1.05  substitution0:
% 0.42/1.05     X := X
% 0.42/1.05     Y := Y
% 0.42/1.05  end
% 0.42/1.05  permutation0:
% 0.42/1.05     0 ==> 0
% 0.42/1.05     1 ==> 1
% 0.42/1.05  end
% 0.42/1.05  
% 0.42/1.05  subsumption: (10) {G0,W9,D4,L2,V2,M2} I { ! in( X, Y ), set_difference( 
% 0.42/1.05    singleton( X ), Y ) ==> empty_set }.
% 0.42/1.05  parent0: (31) {G0,W9,D4,L2,V2,M2}  { ! in( X, Y ), set_difference( 
% 0.42/1.05    singleton( X ), Y ) = empty_set }.
% 0.42/1.05  substitution0:
% 0.42/1.05     X := X
% 0.42/1.05     Y := Y
% 0.42/1.05  end
% 0.42/1.05  permutation0:
% 0.42/1.05     0 ==> 0
% 0.42/1.05     1 ==> 1
% 0.42/1.05  end
% 0.42/1.05  
% 0.42/1.05  eqswap: (52) {G0,W9,D4,L2,V2,M2}  { empty_set ==> set_difference( singleton
% 0.42/1.05    ( X ), Y ), ! in( X, Y ) }.
% 0.42/1.05  parent0[1]: (10) {G0,W9,D4,L2,V2,M2} I { ! in( X, Y ), set_difference( 
% 0.42/1.05    singleton( X ), Y ) ==> empty_set }.
% 0.42/1.05  substitution0:
% 0.42/1.05     X := X
% 0.42/1.05     Y := Y
% 0.42/1.05  end
% 0.42/1.05  
% 0.42/1.05  eqswap: (53) {G0,W9,D4,L2,V0,M2}  { ! empty_set ==> set_difference( 
% 0.42/1.05    singleton( skol3 ), skol4 ), alpha1( skol3, skol4 ) }.
% 0.42/1.05  parent0[1]: (5) {G0,W9,D4,L2,V0,M2} I { alpha1( skol3, skol4 ), ! 
% 0.42/1.05    set_difference( singleton( skol3 ), skol4 ) ==> empty_set }.
% 0.42/1.05  substitution0:
% 0.42/1.05  end
% 0.42/1.05  
% 0.42/1.05  resolution: (54) {G1,W9,D4,L2,V0,M2}  { empty_set ==> set_difference( 
% 0.42/1.05    singleton( skol3 ), skol4 ), alpha1( skol3, skol4 ) }.
% 0.42/1.05  parent0[1]: (52) {G0,W9,D4,L2,V2,M2}  { empty_set ==> set_difference( 
% 0.42/1.05    singleton( X ), Y ), ! in( X, Y ) }.
% 0.42/1.05  parent1[1]: (4) {G0,W6,D2,L2,V0,M2} I { alpha1( skol3, skol4 ), in( skol3, 
% 0.42/1.05    skol4 ) }.
% 0.42/1.05  substitution0:
% 0.42/1.05     X := skol3
% 0.42/1.05     Y := skol4
% 0.42/1.05  end
% 0.42/1.05  substitution1:
% 0.42/1.05  end
% 0.42/1.05  
% 0.42/1.05  resolution: (55) {G1,W6,D2,L2,V0,M2}  { alpha1( skol3, skol4 ), alpha1( 
% 0.42/1.05    skol3, skol4 ) }.
% 0.42/1.05  parent0[0]: (53) {G0,W9,D4,L2,V0,M2}  { ! empty_set ==> set_difference( 
% 0.42/1.05    singleton( skol3 ), skol4 ), alpha1( skol3, skol4 ) }.
% 0.42/1.05  parent1[0]: (54) {G1,W9,D4,L2,V0,M2}  { empty_set ==> set_difference( 
% 0.42/1.05    singleton( skol3 ), skol4 ), alpha1( skol3, skol4 ) }.
% 0.42/1.05  substitution0:
% 0.42/1.05  end
% 0.42/1.05  substitution1:
% 0.42/1.05  end
% 0.42/1.05  
% 0.42/1.05  factor: (56) {G1,W3,D2,L1,V0,M1}  { alpha1( skol3, skol4 ) }.
% 0.42/1.05  parent0[0, 1]: (55) {G1,W6,D2,L2,V0,M2}  { alpha1( skol3, skol4 ), alpha1( 
% 0.42/1.05    skol3, skol4 ) }.
% 0.42/1.05  substitution0:
% 0.42/1.05  end
% 0.42/1.05  
% 0.42/1.05  subsumption: (13) {G1,W3,D2,L1,V0,M1} R(10,4);r(5) { alpha1( skol3, skol4 )
% 0.42/1.05     }.
% 0.42/1.05  parent0: (56) {G1,W3,D2,L1,V0,M1}  { alpha1( skol3, skol4 ) }.
% 0.42/1.05  substitution0:
% 0.42/1.05  end
% 0.42/1.05  permutation0:
% 0.42/1.05     0 ==> 0
% 0.42/1.05  end
% 0.42/1.05  
% 0.42/1.05  eqswap: (57) {G0,W9,D4,L2,V2,M2}  { ! empty_set ==> set_difference( 
% 0.42/1.05    singleton( X ), Y ), in( X, Y ) }.
% 0.42/1.05  parent0[0]: (9) {G0,W9,D4,L2,V2,M2} I { ! set_difference( singleton( X ), Y
% 0.42/1.05     ) ==> empty_set, in( X, Y ) }.
% 0.42/1.05  substitution0:
% 0.42/1.05     X := X
% 0.42/1.05     Y := Y
% 0.42/1.05  end
% 0.42/1.05  
% 0.42/1.05  resolution: (59) {G1,W9,D4,L2,V2,M2}  { ! alpha1( X, Y ), ! empty_set ==> 
% 0.42/1.05    set_difference( singleton( X ), Y ) }.
% 0.42/1.05  parent0[1]: (7) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! in( X, Y ) }.
% 0.42/1.05  parent1[1]: (57) {G0,W9,D4,L2,V2,M2}  { ! empty_set ==> set_difference( 
% 0.42/1.05    singleton( X ), Y ), in( X, Y ) }.
% 0.42/1.05  substitution0:
% 0.42/1.05     X := X
% 0.42/1.05     Y := Y
% 0.42/1.05  end
% 0.42/1.05  substitution1:
% 0.42/1.05     X := X
% 0.42/1.05     Y := Y
% 0.42/1.05  end
% 0.42/1.05  
% 0.42/1.05  paramod: (60) {G1,W9,D2,L3,V2,M3}  { ! empty_set ==> empty_set, ! alpha1( X
% 0.42/1.05    , Y ), ! alpha1( X, Y ) }.
% 0.42/1.05  parent0[1]: (6) {G0,W9,D4,L2,V2,M2} I { ! alpha1( X, Y ), set_difference( 
% 0.42/1.05    singleton( X ), Y ) ==> empty_set }.
% 0.42/1.05  parent1[1; 3]: (59) {G1,W9,D4,L2,V2,M2}  { ! alpha1( X, Y ), ! empty_set 
% 0.42/1.05    ==> set_difference( singleton( X ), Y ) }.
% 0.42/1.05  substitution0:
% 0.42/1.05     X := X
% 0.42/1.05     Y := Y
% 0.42/1.05  end
% 0.42/1.05  substitution1:
% 0.42/1.05     X := X
% 0.42/1.05     Y := Y
% 0.42/1.05  end
% 0.42/1.05  
% 0.42/1.05  factor: (61) {G1,W6,D2,L2,V2,M2}  { ! empty_set ==> empty_set, ! alpha1( X
% 0.42/1.05    , Y ) }.
% 0.42/1.05  parent0[1, 2]: (60) {G1,W9,D2,L3,V2,M3}  { ! empty_set ==> empty_set, ! 
% 0.42/1.05    alpha1( X, Y ), ! alpha1( X, Y ) }.
% 0.42/1.05  substitution0:
% 0.42/1.05     X := X
% 0.42/1.05     Y := Y
% 0.42/1.05  end
% 0.42/1.05  
% 0.42/1.05  eqrefl: (62) {G0,W3,D2,L1,V2,M1}  { ! alpha1( X, Y ) }.
% 0.42/1.05  parent0[0]: (61) {G1,W6,D2,L2,V2,M2}  { ! empty_set ==> empty_set, ! alpha1
% 0.42/1.05    ( X, Y ) }.
% 0.42/1.05  substitution0:
% 0.42/1.05     X := X
% 0.42/1.05     Y := Y
% 0.42/1.05  end
% 0.42/1.05  
% 0.42/1.05  subsumption: (17) {G1,W3,D2,L1,V2,M1} R(9,7);d(6);q { ! alpha1( X, Y ) }.
% 0.42/1.05  parent0: (62) {G0,W3,D2,L1,V2,M1}  { ! alpha1( X, Y ) }.
% 0.42/1.05  substitution0:
% 0.42/1.05     X := X
% 0.42/1.05     Y := Y
% 0.42/1.05  end
% 0.42/1.05  permutation0:
% 0.42/1.05     0 ==> 0
% 0.42/1.05  end
% 0.42/1.05  
% 0.42/1.05  resolution: (63) {G2,W0,D0,L0,V0,M0}  {  }.
% 0.42/1.05  parent0[0]: (17) {G1,W3,D2,L1,V2,M1} R(9,7);d(6);q { ! alpha1( X, Y ) }.
% 0.42/1.05  parent1[0]: (13) {G1,W3,D2,L1,V0,M1} R(10,4);r(5) { alpha1( skol3, skol4 )
% 0.42/1.05     }.
% 0.42/1.05  substitution0:
% 0.42/1.05     X := skol3
% 0.42/1.05     Y := skol4
% 0.42/1.05  end
% 0.42/1.05  substitution1:
% 0.42/1.05  end
% 0.42/1.05  
% 0.42/1.05  subsumption: (19) {G2,W0,D0,L0,V0,M0} R(17,13) {  }.
% 0.42/1.05  parent0: (63) {G2,W0,D0,L0,V0,M0}  {  }.
% 0.42/1.05  substitution0:
% 0.42/1.05  end
% 0.42/1.05  permutation0:
% 0.42/1.05  end
% 0.42/1.05  
% 0.42/1.05  Proof check complete!
% 0.42/1.05  
% 0.42/1.05  Memory use:
% 0.42/1.05  
% 0.42/1.05  space for terms:        295
% 0.42/1.05  space for clauses:      1123
% 0.42/1.05  
% 0.42/1.05  
% 0.42/1.05  clauses generated:      32
% 0.42/1.05  clauses kept:           20
% 0.42/1.05  clauses selected:       13
% 0.42/1.05  clauses deleted:        1
% 0.42/1.05  clauses inuse deleted:  0
% 0.42/1.05  
% 0.42/1.05  subsentry:          114
% 0.42/1.05  literals s-matched: 60
% 0.42/1.05  literals matched:   60
% 0.42/1.05  full subsumption:   1
% 0.42/1.05  
% 0.42/1.05  checksum:           -2078217323
% 0.42/1.05  
% 0.42/1.05  
% 0.42/1.05  Bliksem ended
%------------------------------------------------------------------------------