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Bliksem---1.12.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SWX200+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n031.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 : Tue May  5 06:56:47 PM UTC 2026

% Result   : Theorem 0.71s 1.10s
% Output   : Refutation 0.71s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWX200+1 : TPTP v9.3.0. Released v9.3.0.
% 0.12/0.13  % Command  : bliksem %s
% 0.18/0.34  % Computer : n031.cluster.edu
% 0.18/0.34  % Model    : x86_64 x86_64
% 0.18/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34  % Memory   : 8042.1875MB
% 0.18/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34  % CPULimit : 300
% 0.18/0.34  % DateTime : Tue May  5 11:16:23 EDT 2026
% 0.18/0.34  % CPUTime  : 
% 0.71/1.10  *** allocated 10000 integers for termspace/termends
% 0.71/1.10  *** allocated 10000 integers for clauses
% 0.71/1.10  *** allocated 10000 integers for justifications
% 0.71/1.10  Bliksem 1.12
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  Automatic Strategy Selection
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  Clauses:
% 0.71/1.10  
% 0.71/1.10  { head( cons( X, Y ) ) = X }.
% 0.71/1.10  { tail( cons( X, Y ) ) = Y }.
% 0.71/1.10  { ! nil = cons( X, Y ) }.
% 0.71/1.10  { proj1S( s( X ) ) = X }.
% 0.71/1.10  { ! z = s( X ) }.
% 0.71/1.10  { leqNat( z, X ) }.
% 0.71/1.10  { ! leqNat( s( X ), z ) }.
% 0.71/1.10  { ! leqNat( s( X ), s( Y ) ), leqNat( X, Y ) }.
% 0.71/1.10  { ! leqNat( X, Y ), leqNat( s( X ), s( Y ) ) }.
% 0.71/1.10  { merge( nil, X ) = X }.
% 0.71/1.10  { merge( cons( X, Y ), nil ) = cons( X, Y ) }.
% 0.71/1.10  { ! leqNat( X, Y ), merge( cons( X, Z ), cons( Y, T ) ) = cons( X, merge( Z
% 0.71/1.10    , cons( Y, T ) ) ) }.
% 0.71/1.10  { leqNat( X, Y ), merge( cons( X, Z ), cons( Y, T ) ) = cons( Y, merge( 
% 0.71/1.10    cons( X, Z ), T ) ) }.
% 0.71/1.10  { ord( nil ) }.
% 0.71/1.10  { ord( cons( X, nil ) ) }.
% 0.71/1.10  { ! ord( cons( X, cons( Y, Z ) ) ), leqNat( X, Y ) }.
% 0.71/1.10  { ! ord( cons( X, cons( Y, Z ) ) ), ord( cons( Y, Z ) ) }.
% 0.71/1.10  { ! leqNat( X, Y ), ! ord( cons( Y, Z ) ), ord( cons( X, cons( Y, Z ) ) ) }
% 0.71/1.10    .
% 0.71/1.10  { ! ord( X ), ord( Y ), ord( merge( X, Y ) ) }.
% 0.71/1.10  
% 0.71/1.10  percentage equality = 0.310345, percentage horn = 0.894737
% 0.71/1.10  This is a problem with some equality
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  Options Used:
% 0.71/1.10  
% 0.71/1.10  useres =            1
% 0.71/1.10  useparamod =        1
% 0.71/1.10  useeqrefl =         1
% 0.71/1.10  useeqfact =         1
% 0.71/1.10  usefactor =         1
% 0.71/1.10  usesimpsplitting =  0
% 0.71/1.10  usesimpdemod =      5
% 0.71/1.10  usesimpres =        3
% 0.71/1.10  
% 0.71/1.10  resimpinuse      =  1000
% 0.71/1.10  resimpclauses =     20000
% 0.71/1.10  substype =          eqrewr
% 0.71/1.10  backwardsubs =      1
% 0.71/1.10  selectoldest =      5
% 0.71/1.10  
% 0.71/1.10  litorderings [0] =  split
% 0.71/1.10  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.71/1.10  
% 0.71/1.10  termordering =      kbo
% 0.71/1.10  
% 0.71/1.10  litapriori =        0
% 0.71/1.10  termapriori =       1
% 0.71/1.10  litaposteriori =    0
% 0.71/1.10  termaposteriori =   0
% 0.71/1.10  demodaposteriori =  0
% 0.71/1.10  ordereqreflfact =   0
% 0.71/1.10  
% 0.71/1.10  litselect =         negord
% 0.71/1.10  
% 0.71/1.10  maxweight =         15
% 0.71/1.10  maxdepth =          30000
% 0.71/1.10  maxlength =         115
% 0.71/1.10  maxnrvars =         195
% 0.71/1.10  excuselevel =       1
% 0.71/1.10  increasemaxweight = 1
% 0.71/1.10  
% 0.71/1.10  maxselected =       10000000
% 0.71/1.10  maxnrclauses =      10000000
% 0.71/1.10  
% 0.71/1.10  showgenerated =    0
% 0.71/1.10  showkept =         0
% 0.71/1.10  showselected =     0
% 0.71/1.10  showdeleted =      0
% 0.71/1.10  showresimp =       1
% 0.71/1.10  showstatus =       2000
% 0.71/1.10  
% 0.71/1.10  prologoutput =     0
% 0.71/1.10  nrgoals =          5000000
% 0.71/1.10  totalproof =       1
% 0.71/1.10  
% 0.71/1.10  Symbols occurring in the translation:
% 0.71/1.10  
% 0.71/1.10  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.71/1.10  .  [1, 2]      (w:1, o:26, a:1, s:1, b:0), 
% 0.71/1.10  !  [4, 1]      (w:0, o:16, a:1, s:1, b:0), 
% 0.71/1.10  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.71/1.10  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.71/1.10  cons  [37, 2]      (w:1, o:50, a:1, s:1, b:0), 
% 0.71/1.10  head  [38, 1]      (w:1, o:21, a:1, s:1, b:0), 
% 0.71/1.10  tail  [39, 1]      (w:1, o:23, a:1, s:1, b:0), 
% 0.71/1.10  nil  [40, 0]      (w:1, o:8, a:1, s:1, b:0), 
% 0.71/1.10  s  [41, 1]      (w:1, o:22, a:1, s:1, b:0), 
% 0.71/1.10  proj1S  [42, 1]      (w:1, o:25, a:1, s:1, b:0), 
% 0.71/1.10  z  [43, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.71/1.10  leqNat  [45, 2]      (w:1, o:51, a:1, s:1, b:0), 
% 0.71/1.10  merge  [48, 2]      (w:1, o:52, a:1, s:1, b:0), 
% 0.71/1.10  ord  [52, 1]      (w:1, o:24, a:1, s:1, b:0).
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  Starting Search:
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  Bliksems!, er is een bewijs:
% 0.71/1.10  % SZS status Theorem
% 0.71/1.10  % SZS output start Refutation
% 0.71/1.10  
% 0.71/1.10  (6) {G0,W4,D3,L1,V1,M1} I { ! leqNat( s( X ), z ) }.
% 0.71/1.10  (7) {G0,W8,D3,L2,V2,M2} I { ! leqNat( s( X ), s( Y ) ), leqNat( X, Y ) }.
% 0.71/1.10  (9) {G0,W5,D3,L1,V1,M1} I { merge( nil, X ) ==> X }.
% 0.71/1.10  (13) {G0,W2,D2,L1,V0,M1} I { ord( nil ) }.
% 0.71/1.10  (15) {G0,W9,D4,L2,V3,M2} I { ! ord( cons( X, cons( Y, Z ) ) ), leqNat( X, Y
% 0.71/1.10     ) }.
% 0.71/1.10  (18) {G0,W8,D3,L3,V2,M3} I { ! ord( X ), ord( Y ), ord( merge( X, Y ) ) }.
% 0.71/1.10  (20) {G1,W6,D4,L1,V1,M1} R(7,6) { ! leqNat( s( s( X ) ), s( z ) ) }.
% 0.71/1.10  (21) {G2,W8,D5,L1,V1,M1} R(20,7) { ! leqNat( s( s( s( X ) ) ), s( s( z ) )
% 0.71/1.10     ) }.
% 0.71/1.10  (29) {G1,W2,D2,L1,V1,M1} R(18,13);d(9);f { ord( X ) }.
% 0.71/1.10  (34) {G2,W3,D2,L1,V2,M1} S(15);r(29) { leqNat( X, Y ) }.
% 0.71/1.10  (36) {G3,W0,D0,L0,V0,M0} R(34,21) {  }.
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  % SZS output end Refutation
% 0.71/1.10  found a proof!
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  Unprocessed initial clauses:
% 0.71/1.10  
% 0.71/1.10  (38) {G0,W6,D4,L1,V2,M1}  { head( cons( X, Y ) ) = X }.
% 0.71/1.10  (39) {G0,W6,D4,L1,V2,M1}  { tail( cons( X, Y ) ) = Y }.
% 0.71/1.10  (40) {G0,W5,D3,L1,V2,M1}  { ! nil = cons( X, Y ) }.
% 0.71/1.10  (41) {G0,W5,D4,L1,V1,M1}  { proj1S( s( X ) ) = X }.
% 0.71/1.10  (42) {G0,W4,D3,L1,V1,M1}  { ! z = s( X ) }.
% 0.71/1.10  (43) {G0,W3,D2,L1,V1,M1}  { leqNat( z, X ) }.
% 0.71/1.10  (44) {G0,W4,D3,L1,V1,M1}  { ! leqNat( s( X ), z ) }.
% 0.71/1.10  (45) {G0,W8,D3,L2,V2,M2}  { ! leqNat( s( X ), s( Y ) ), leqNat( X, Y ) }.
% 0.71/1.10  (46) {G0,W8,D3,L2,V2,M2}  { ! leqNat( X, Y ), leqNat( s( X ), s( Y ) ) }.
% 0.71/1.10  (47) {G0,W5,D3,L1,V1,M1}  { merge( nil, X ) = X }.
% 0.71/1.10  (48) {G0,W9,D4,L1,V2,M1}  { merge( cons( X, Y ), nil ) = cons( X, Y ) }.
% 0.71/1.10  (49) {G0,W18,D5,L2,V4,M2}  { ! leqNat( X, Y ), merge( cons( X, Z ), cons( Y
% 0.71/1.10    , T ) ) = cons( X, merge( Z, cons( Y, T ) ) ) }.
% 0.71/1.10  (50) {G0,W18,D5,L2,V4,M2}  { leqNat( X, Y ), merge( cons( X, Z ), cons( Y, 
% 0.71/1.10    T ) ) = cons( Y, merge( cons( X, Z ), T ) ) }.
% 0.71/1.10  (51) {G0,W2,D2,L1,V0,M1}  { ord( nil ) }.
% 0.71/1.10  (52) {G0,W4,D3,L1,V1,M1}  { ord( cons( X, nil ) ) }.
% 0.71/1.10  (53) {G0,W9,D4,L2,V3,M2}  { ! ord( cons( X, cons( Y, Z ) ) ), leqNat( X, Y
% 0.71/1.10     ) }.
% 0.71/1.10  (54) {G0,W10,D4,L2,V3,M2}  { ! ord( cons( X, cons( Y, Z ) ) ), ord( cons( Y
% 0.71/1.10    , Z ) ) }.
% 0.71/1.10  (55) {G0,W13,D4,L3,V3,M3}  { ! leqNat( X, Y ), ! ord( cons( Y, Z ) ), ord( 
% 0.71/1.10    cons( X, cons( Y, Z ) ) ) }.
% 0.71/1.10  (56) {G0,W8,D3,L3,V2,M3}  { ! ord( X ), ord( Y ), ord( merge( X, Y ) ) }.
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  Total Proof:
% 0.71/1.10  
% 0.71/1.10  subsumption: (6) {G0,W4,D3,L1,V1,M1} I { ! leqNat( s( X ), z ) }.
% 0.71/1.10  parent0: (44) {G0,W4,D3,L1,V1,M1}  { ! leqNat( s( X ), z ) }.
% 0.71/1.10  substitution0:
% 0.71/1.10     X := X
% 0.71/1.10  end
% 0.71/1.10  permutation0:
% 0.71/1.10     0 ==> 0
% 0.71/1.10  end
% 0.71/1.10  
% 0.71/1.10  subsumption: (7) {G0,W8,D3,L2,V2,M2} I { ! leqNat( s( X ), s( Y ) ), leqNat
% 0.71/1.10    ( X, Y ) }.
% 0.71/1.10  parent0: (45) {G0,W8,D3,L2,V2,M2}  { ! leqNat( s( X ), s( Y ) ), leqNat( X
% 0.71/1.10    , Y ) }.
% 0.71/1.10  substitution0:
% 0.71/1.10     X := X
% 0.71/1.10     Y := Y
% 0.71/1.10  end
% 0.71/1.10  permutation0:
% 0.71/1.10     0 ==> 0
% 0.71/1.10     1 ==> 1
% 0.71/1.10  end
% 0.71/1.10  
% 0.71/1.10  subsumption: (9) {G0,W5,D3,L1,V1,M1} I { merge( nil, X ) ==> X }.
% 0.71/1.10  parent0: (47) {G0,W5,D3,L1,V1,M1}  { merge( nil, X ) = X }.
% 0.71/1.10  substitution0:
% 0.71/1.10     X := X
% 0.71/1.10  end
% 0.71/1.10  permutation0:
% 0.71/1.10     0 ==> 0
% 0.71/1.10  end
% 0.71/1.10  
% 0.71/1.10  subsumption: (13) {G0,W2,D2,L1,V0,M1} I { ord( nil ) }.
% 0.71/1.10  parent0: (51) {G0,W2,D2,L1,V0,M1}  { ord( nil ) }.
% 0.71/1.10  substitution0:
% 0.71/1.10  end
% 0.71/1.10  permutation0:
% 0.71/1.10     0 ==> 0
% 0.71/1.10  end
% 0.71/1.10  
% 0.71/1.10  subsumption: (15) {G0,W9,D4,L2,V3,M2} I { ! ord( cons( X, cons( Y, Z ) ) )
% 0.71/1.10    , leqNat( X, Y ) }.
% 0.71/1.10  parent0: (53) {G0,W9,D4,L2,V3,M2}  { ! ord( cons( X, cons( Y, Z ) ) ), 
% 0.71/1.10    leqNat( X, Y ) }.
% 0.71/1.10  substitution0:
% 0.71/1.10     X := X
% 0.71/1.10     Y := Y
% 0.71/1.10     Z := Z
% 0.71/1.10  end
% 0.71/1.10  permutation0:
% 0.71/1.10     0 ==> 0
% 0.71/1.10     1 ==> 1
% 0.71/1.10  end
% 0.71/1.10  
% 0.71/1.10  subsumption: (18) {G0,W8,D3,L3,V2,M3} I { ! ord( X ), ord( Y ), ord( merge
% 0.71/1.10    ( X, Y ) ) }.
% 0.71/1.10  parent0: (56) {G0,W8,D3,L3,V2,M3}  { ! ord( X ), ord( Y ), ord( merge( X, Y
% 0.71/1.10     ) ) }.
% 0.71/1.10  substitution0:
% 0.71/1.10     X := X
% 0.71/1.10     Y := Y
% 0.71/1.10  end
% 0.71/1.10  permutation0:
% 0.71/1.10     0 ==> 0
% 0.71/1.10     1 ==> 1
% 0.71/1.10     2 ==> 2
% 0.71/1.10  end
% 0.71/1.10  
% 0.71/1.10  resolution: (100) {G1,W6,D4,L1,V1,M1}  { ! leqNat( s( s( X ) ), s( z ) )
% 0.71/1.10     }.
% 0.71/1.10  parent0[0]: (6) {G0,W4,D3,L1,V1,M1} I { ! leqNat( s( X ), z ) }.
% 0.71/1.10  parent1[1]: (7) {G0,W8,D3,L2,V2,M2} I { ! leqNat( s( X ), s( Y ) ), leqNat
% 0.71/1.10    ( X, Y ) }.
% 0.71/1.10  substitution0:
% 0.71/1.10     X := X
% 0.71/1.10  end
% 0.71/1.10  substitution1:
% 0.71/1.10     X := s( X )
% 0.71/1.10     Y := z
% 0.71/1.10  end
% 0.71/1.10  
% 0.71/1.10  subsumption: (20) {G1,W6,D4,L1,V1,M1} R(7,6) { ! leqNat( s( s( X ) ), s( z
% 0.71/1.10     ) ) }.
% 0.71/1.10  parent0: (100) {G1,W6,D4,L1,V1,M1}  { ! leqNat( s( s( X ) ), s( z ) ) }.
% 0.71/1.10  substitution0:
% 0.71/1.10     X := X
% 0.71/1.10  end
% 0.71/1.10  permutation0:
% 0.71/1.10     0 ==> 0
% 0.71/1.10  end
% 0.71/1.10  
% 0.71/1.10  resolution: (101) {G1,W8,D5,L1,V1,M1}  { ! leqNat( s( s( s( X ) ) ), s( s( 
% 0.71/1.10    z ) ) ) }.
% 0.71/1.10  parent0[0]: (20) {G1,W6,D4,L1,V1,M1} R(7,6) { ! leqNat( s( s( X ) ), s( z )
% 0.71/1.10     ) }.
% 0.71/1.10  parent1[1]: (7) {G0,W8,D3,L2,V2,M2} I { ! leqNat( s( X ), s( Y ) ), leqNat
% 0.71/1.10    ( X, Y ) }.
% 0.71/1.10  substitution0:
% 0.71/1.10     X := X
% 0.71/1.10  end
% 0.71/1.10  substitution1:
% 0.71/1.10     X := s( s( X ) )
% 0.71/1.10     Y := s( z )
% 0.71/1.10  end
% 0.71/1.10  
% 0.71/1.10  subsumption: (21) {G2,W8,D5,L1,V1,M1} R(20,7) { ! leqNat( s( s( s( X ) ) )
% 0.71/1.10    , s( s( z ) ) ) }.
% 0.71/1.10  parent0: (101) {G1,W8,D5,L1,V1,M1}  { ! leqNat( s( s( s( X ) ) ), s( s( z )
% 0.71/1.10     ) ) }.
% 0.71/1.10  substitution0:
% 0.71/1.10     X := X
% 0.71/1.10  end
% 0.71/1.10  permutation0:
% 0.71/1.10     0 ==> 0
% 0.71/1.10  end
% 0.71/1.10  
% 0.71/1.10  resolution: (103) {G1,W6,D3,L2,V1,M2}  { ord( X ), ord( merge( nil, X ) )
% 0.71/1.10     }.
% 0.71/1.10  parent0[0]: (18) {G0,W8,D3,L3,V2,M3} I { ! ord( X ), ord( Y ), ord( merge( 
% 0.71/1.10    X, Y ) ) }.
% 0.71/1.10  parent1[0]: (13) {G0,W2,D2,L1,V0,M1} I { ord( nil ) }.
% 0.71/1.10  substitution0:
% 0.71/1.10     X := nil
% 0.71/1.10     Y := X
% 0.71/1.10  end
% 0.71/1.10  substitution1:
% 0.71/1.10  end
% 0.71/1.10  
% 0.71/1.10  paramod: (104) {G1,W4,D2,L2,V1,M2}  { ord( X ), ord( X ) }.
% 0.71/1.10  parent0[0]: (9) {G0,W5,D3,L1,V1,M1} I { merge( nil, X ) ==> X }.
% 0.71/1.10  parent1[1; 1]: (103) {G1,W6,D3,L2,V1,M2}  { ord( X ), ord( merge( nil, X )
% 0.71/1.10     ) }.
% 0.71/1.10  substitution0:
% 0.71/1.10     X := X
% 0.71/1.10  end
% 0.71/1.10  substitution1:
% 0.71/1.10     X := X
% 0.71/1.10  end
% 0.71/1.10  
% 0.71/1.10  factor: (105) {G1,W2,D2,L1,V1,M1}  { ord( X ) }.
% 0.71/1.10  parent0[0, 1]: (104) {G1,W4,D2,L2,V1,M2}  { ord( X ), ord( X ) }.
% 0.71/1.10  substitution0:
% 0.71/1.10     X := X
% 0.71/1.10  end
% 0.71/1.10  
% 0.71/1.10  subsumption: (29) {G1,W2,D2,L1,V1,M1} R(18,13);d(9);f { ord( X ) }.
% 0.71/1.10  parent0: (105) {G1,W2,D2,L1,V1,M1}  { ord( X ) }.
% 0.71/1.10  substitution0:
% 0.71/1.10     X := X
% 0.71/1.10  end
% 0.71/1.10  permutation0:
% 0.71/1.10     0 ==> 0
% 0.71/1.10  end
% 0.71/1.10  
% 0.71/1.10  resolution: (106) {G1,W3,D2,L1,V2,M1}  { leqNat( X, Y ) }.
% 0.71/1.10  parent0[0]: (15) {G0,W9,D4,L2,V3,M2} I { ! ord( cons( X, cons( Y, Z ) ) ), 
% 0.71/1.10    leqNat( X, Y ) }.
% 0.71/1.10  parent1[0]: (29) {G1,W2,D2,L1,V1,M1} R(18,13);d(9);f { ord( X ) }.
% 0.71/1.10  substitution0:
% 0.71/1.10     X := X
% 0.71/1.10     Y := Y
% 0.71/1.10     Z := Z
% 0.71/1.10  end
% 0.71/1.10  substitution1:
% 0.71/1.10     X := cons( X, cons( Y, Z ) )
% 0.71/1.10  end
% 0.71/1.10  
% 0.71/1.10  subsumption: (34) {G2,W3,D2,L1,V2,M1} S(15);r(29) { leqNat( X, Y ) }.
% 0.71/1.10  parent0: (106) {G1,W3,D2,L1,V2,M1}  { leqNat( X, Y ) }.
% 0.71/1.10  substitution0:
% 0.71/1.10     X := X
% 0.71/1.10     Y := Y
% 0.71/1.10  end
% 0.71/1.10  permutation0:
% 0.71/1.10     0 ==> 0
% 0.71/1.10  end
% 0.71/1.10  
% 0.71/1.10  resolution: (107) {G3,W0,D0,L0,V0,M0}  {  }.
% 0.71/1.10  parent0[0]: (21) {G2,W8,D5,L1,V1,M1} R(20,7) { ! leqNat( s( s( s( X ) ) ), 
% 0.71/1.10    s( s( z ) ) ) }.
% 0.71/1.10  parent1[0]: (34) {G2,W3,D2,L1,V2,M1} S(15);r(29) { leqNat( X, Y ) }.
% 0.71/1.10  substitution0:
% 0.71/1.10     X := X
% 0.71/1.10  end
% 0.71/1.10  substitution1:
% 0.71/1.10     X := s( s( s( X ) ) )
% 0.71/1.10     Y := s( s( z ) )
% 0.71/1.10  end
% 0.71/1.10  
% 0.71/1.10  subsumption: (36) {G3,W0,D0,L0,V0,M0} R(34,21) {  }.
% 0.71/1.10  parent0: (107) {G3,W0,D0,L0,V0,M0}  {  }.
% 0.71/1.10  substitution0:
% 0.71/1.10  end
% 0.71/1.10  permutation0:
% 0.71/1.10  end
% 0.71/1.10  
% 0.71/1.10  Proof check complete!
% 0.71/1.10  
% 0.71/1.10  Memory use:
% 0.71/1.10  
% 0.71/1.10  space for terms:        734
% 0.71/1.10  space for clauses:      2800
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  clauses generated:      68
% 0.71/1.10  clauses kept:           37
% 0.71/1.10  clauses selected:       21
% 0.71/1.10  clauses deleted:        2
% 0.71/1.10  clauses inuse deleted:  0
% 0.71/1.10  
% 0.71/1.10  subsentry:          289
% 0.71/1.10  literals s-matched: 158
% 0.71/1.10  literals matched:   158
% 0.71/1.10  full subsumption:   9
% 0.71/1.10  
% 0.71/1.10  checksum:           -1998322358
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  Bliksem ended
%------------------------------------------------------------------------------