TSTP Solution File: NUM395+1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : NUM395+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n015.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 06:21:55 EDT 2022

% Result   : Theorem 0.75s 1.15s
% Output   : Refutation 0.75s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14  % Problem  : NUM395+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.14  % Command  : bliksem %s
% 0.14/0.36  % Computer : n015.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % DateTime : Thu Jul  7 02:16:19 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.75/1.15  *** allocated 10000 integers for termspace/termends
% 0.75/1.15  *** allocated 10000 integers for clauses
% 0.75/1.15  *** allocated 10000 integers for justifications
% 0.75/1.15  Bliksem 1.12
% 0.75/1.15  
% 0.75/1.15  
% 0.75/1.15  Automatic Strategy Selection
% 0.75/1.15  
% 0.75/1.15  
% 0.75/1.15  Clauses:
% 0.75/1.15  
% 0.75/1.15  { element( skol1( X ), X ) }.
% 0.75/1.15  { ! element( X, Y ), empty( Y ), in( X, Y ) }.
% 0.75/1.15  { ! in( X, Y ), ! in( Y, X ) }.
% 0.75/1.15  { ! in( X, Y ), element( X, Y ) }.
% 0.75/1.15  { ! empty( X ), function( X ) }.
% 0.75/1.15  { ! relation( X ), ! empty( X ), ! function( X ), relation( X ) }.
% 0.75/1.15  { ! relation( X ), ! empty( X ), ! function( X ), function( X ) }.
% 0.75/1.15  { ! relation( X ), ! empty( X ), ! function( X ), one_to_one( X ) }.
% 0.75/1.15  { ! empty( X ), relation( X ) }.
% 0.75/1.15  { ! in( X, Y ), ! empty( Y ) }.
% 0.75/1.15  { ! empty( X ), X = Y, ! empty( Y ) }.
% 0.75/1.15  { ! ordinal( X ), epsilon_transitive( X ) }.
% 0.75/1.15  { ! ordinal( X ), epsilon_connected( X ) }.
% 0.75/1.15  { ! epsilon_transitive( X ), ! epsilon_connected( X ), ordinal( X ) }.
% 0.75/1.15  { epsilon_transitive( skol2 ) }.
% 0.75/1.15  { epsilon_connected( skol2 ) }.
% 0.75/1.15  { ordinal( skol2 ) }.
% 0.75/1.15  { relation( skol3 ) }.
% 0.75/1.15  { function( skol3 ) }.
% 0.75/1.15  { relation( skol4 ) }.
% 0.75/1.15  { empty( skol4 ) }.
% 0.75/1.15  { function( skol4 ) }.
% 0.75/1.15  { relation( skol5 ) }.
% 0.75/1.15  { function( skol5 ) }.
% 0.75/1.15  { one_to_one( skol5 ) }.
% 0.75/1.15  { relation( skol6 ) }.
% 0.75/1.15  { relation_empty_yielding( skol6 ) }.
% 0.75/1.15  { function( skol6 ) }.
% 0.75/1.15  { relation( skol7 ) }.
% 0.75/1.15  { relation_non_empty( skol7 ) }.
% 0.75/1.15  { function( skol7 ) }.
% 0.75/1.15  { empty( empty_set ) }.
% 0.75/1.15  { relation( empty_set ) }.
% 0.75/1.15  { empty( empty_set ) }.
% 0.75/1.15  { relation( empty_set ) }.
% 0.75/1.15  { relation_empty_yielding( empty_set ) }.
% 0.75/1.15  { empty( skol8 ) }.
% 0.75/1.15  { relation( skol8 ) }.
% 0.75/1.15  { ! empty( skol9 ) }.
% 0.75/1.15  { relation( skol9 ) }.
% 0.75/1.15  { relation( skol10 ) }.
% 0.75/1.15  { relation_empty_yielding( skol10 ) }.
% 0.75/1.15  { empty( empty_set ) }.
% 0.75/1.15  { empty( skol11 ) }.
% 0.75/1.15  { ! empty( skol12 ) }.
% 0.75/1.15  { ! empty( X ), X = empty_set }.
% 0.75/1.15  { ! ordinal( empty_set ) }.
% 0.75/1.15  { ! ordinal( X ), epsilon_transitive( X ) }.
% 0.75/1.15  { ! ordinal( X ), epsilon_connected( X ) }.
% 0.75/1.15  { ! epsilon_transitive( X ), ! epsilon_connected( X ), ordinal( X ) }.
% 0.75/1.15  { epsilon_transitive( empty_set ) }.
% 0.75/1.15  { epsilon_connected( empty_set ) }.
% 0.75/1.15  
% 0.75/1.15  percentage equality = 0.032787, percentage horn = 0.977273
% 0.75/1.15  This is a problem with some equality
% 0.75/1.15  
% 0.75/1.15  
% 0.75/1.15  
% 0.75/1.15  Options Used:
% 0.75/1.15  
% 0.75/1.15  useres =            1
% 0.75/1.15  useparamod =        1
% 0.75/1.15  useeqrefl =         1
% 0.75/1.15  useeqfact =         1
% 0.75/1.15  usefactor =         1
% 0.75/1.15  usesimpsplitting =  0
% 0.75/1.15  usesimpdemod =      5
% 0.75/1.15  usesimpres =        3
% 0.75/1.15  
% 0.75/1.15  resimpinuse      =  1000
% 0.75/1.15  resimpclauses =     20000
% 0.75/1.15  substype =          eqrewr
% 0.75/1.15  backwardsubs =      1
% 0.75/1.15  selectoldest =      5
% 0.75/1.15  
% 0.75/1.15  litorderings [0] =  split
% 0.75/1.15  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.75/1.15  
% 0.75/1.15  termordering =      kbo
% 0.75/1.15  
% 0.75/1.15  litapriori =        0
% 0.75/1.15  termapriori =       1
% 0.75/1.15  litaposteriori =    0
% 0.75/1.15  termaposteriori =   0
% 0.75/1.15  demodaposteriori =  0
% 0.75/1.15  ordereqreflfact =   0
% 0.75/1.15  
% 0.75/1.15  litselect =         negord
% 0.75/1.15  
% 0.75/1.15  maxweight =         15
% 0.75/1.15  maxdepth =          30000
% 0.75/1.15  maxlength =         115
% 0.75/1.15  maxnrvars =         195
% 0.75/1.15  excuselevel =       1
% 0.75/1.15  increasemaxweight = 1
% 0.75/1.15  
% 0.75/1.15  maxselected =       10000000
% 0.75/1.15  maxnrclauses =      10000000
% 0.75/1.15  
% 0.75/1.15  showgenerated =    0
% 0.75/1.15  showkept =         0
% 0.75/1.15  showselected =     0
% 0.75/1.15  showdeleted =      0
% 0.75/1.15  showresimp =       1
% 0.75/1.15  showstatus =       2000
% 0.75/1.15  
% 0.75/1.15  prologoutput =     0
% 0.75/1.15  nrgoals =          5000000
% 0.75/1.15  totalproof =       1
% 0.75/1.15  
% 0.75/1.15  Symbols occurring in the translation:
% 0.75/1.15  
% 0.75/1.15  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.75/1.15  .  [1, 2]      (w:1, o:35, a:1, s:1, b:0), 
% 0.75/1.15  !  [4, 1]      (w:0, o:20, a:1, s:1, b:0), 
% 0.75/1.15  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.75/1.15  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.75/1.15  element  [37, 2]      (w:1, o:59, a:1, s:1, b:0), 
% 0.75/1.15  empty  [38, 1]      (w:1, o:25, a:1, s:1, b:0), 
% 0.75/1.15  in  [39, 2]      (w:1, o:60, a:1, s:1, b:0), 
% 0.75/1.15  function  [40, 1]      (w:1, o:28, a:1, s:1, b:0), 
% 0.75/1.15  relation  [41, 1]      (w:1, o:29, a:1, s:1, b:0), 
% 0.75/1.15  one_to_one  [42, 1]      (w:1, o:30, a:1, s:1, b:0), 
% 0.75/1.15  ordinal  [43, 1]      (w:1, o:31, a:1, s:1, b:0), 
% 0.75/1.15  epsilon_transitive  [44, 1]      (w:1, o:26, a:1, s:1, b:0), 
% 0.75/1.15  epsilon_connected  [45, 1]      (w:1, o:27, a:1, s:1, b:0), 
% 0.75/1.15  relation_empty_yielding  [46, 1]      (w:1, o:32, a:1, s:1, b:0), 
% 0.75/1.15  relation_non_empty  [47, 1]      (w:1, o:33, a:1, s:1, b:0), 
% 0.75/1.15  empty_set  [48, 0]      (w:1, o:8, a:1, s:1, b:0), 
% 0.75/1.15  skol1  [49, 1]      (w:1, o:34, a:1, s:1, b:1), 
% 0.75/1.15  skol2  [50, 0]      (w:1, o:12, a:1, s:1, b:1), 
% 0.75/1.15  skol3  [51, 0]      (w:1, o:13, a:1, s:1, b:1), 
% 0.75/1.15  skol4  [52, 0]      (w:1, o:14, a:1, s:1, b:1), 
% 0.75/1.15  skol5  [53, 0]      (w:1, o:15, a:1, s:1, b:1), 
% 0.75/1.15  skol6  [54, 0]      (w:1, o:16, a:1, s:1, b:1), 
% 0.75/1.15  skol7  [55, 0]      (w:1, o:17, a:1, s:1, b:1), 
% 0.75/1.15  skol8  [56, 0]      (w:1, o:18, a:1, s:1, b:1), 
% 0.75/1.15  skol9  [57, 0]      (w:1, o:19, a:1, s:1, b:1), 
% 0.75/1.15  skol10  [58, 0]      (w:1, o:9, a:1, s:1, b:1), 
% 0.75/1.15  skol11  [59, 0]      (w:1, o:10, a:1, s:1, b:1), 
% 0.75/1.15  skol12  [60, 0]      (w:1, o:11, a:1, s:1, b:1).
% 0.75/1.15  
% 0.75/1.15  
% 0.75/1.15  Starting Search:
% 0.75/1.15  
% 0.75/1.15  
% 0.75/1.15  Bliksems!, er is een bewijs:
% 0.75/1.15  % SZS status Theorem
% 0.75/1.15  % SZS output start Refutation
% 0.75/1.15  
% 0.75/1.15  (11) {G0,W6,D2,L3,V1,M3} I { ! epsilon_transitive( X ), ! epsilon_connected
% 0.75/1.15    ( X ), ordinal( X ) }.
% 0.75/1.15  (41) {G0,W2,D2,L1,V0,M1} I { ! ordinal( empty_set ) }.
% 0.75/1.15  (42) {G0,W2,D2,L1,V0,M1} I { epsilon_transitive( empty_set ) }.
% 0.75/1.15  (43) {G0,W2,D2,L1,V0,M1} I { epsilon_connected( empty_set ) }.
% 0.75/1.15  (90) {G1,W2,D2,L1,V0,M1} R(11,41);r(42) { ! epsilon_connected( empty_set )
% 0.75/1.15     }.
% 0.75/1.15  (92) {G2,W0,D0,L0,V0,M0} S(90);r(43) {  }.
% 0.75/1.15  
% 0.75/1.15  
% 0.75/1.15  % SZS output end Refutation
% 0.75/1.15  found a proof!
% 0.75/1.15  
% 0.75/1.15  
% 0.75/1.15  Unprocessed initial clauses:
% 0.75/1.15  
% 0.75/1.15  (94) {G0,W4,D3,L1,V1,M1}  { element( skol1( X ), X ) }.
% 0.75/1.15  (95) {G0,W8,D2,L3,V2,M3}  { ! element( X, Y ), empty( Y ), in( X, Y ) }.
% 0.75/1.15  (96) {G0,W6,D2,L2,V2,M2}  { ! in( X, Y ), ! in( Y, X ) }.
% 0.75/1.15  (97) {G0,W6,D2,L2,V2,M2}  { ! in( X, Y ), element( X, Y ) }.
% 0.75/1.15  (98) {G0,W4,D2,L2,V1,M2}  { ! empty( X ), function( X ) }.
% 0.75/1.15  (99) {G0,W8,D2,L4,V1,M4}  { ! relation( X ), ! empty( X ), ! function( X )
% 0.75/1.15    , relation( X ) }.
% 0.75/1.15  (100) {G0,W8,D2,L4,V1,M4}  { ! relation( X ), ! empty( X ), ! function( X )
% 0.75/1.15    , function( X ) }.
% 0.75/1.15  (101) {G0,W8,D2,L4,V1,M4}  { ! relation( X ), ! empty( X ), ! function( X )
% 0.75/1.15    , one_to_one( X ) }.
% 0.75/1.15  (102) {G0,W4,D2,L2,V1,M2}  { ! empty( X ), relation( X ) }.
% 0.75/1.15  (103) {G0,W5,D2,L2,V2,M2}  { ! in( X, Y ), ! empty( Y ) }.
% 0.75/1.15  (104) {G0,W7,D2,L3,V2,M3}  { ! empty( X ), X = Y, ! empty( Y ) }.
% 0.75/1.15  (105) {G0,W4,D2,L2,V1,M2}  { ! ordinal( X ), epsilon_transitive( X ) }.
% 0.75/1.15  (106) {G0,W4,D2,L2,V1,M2}  { ! ordinal( X ), epsilon_connected( X ) }.
% 0.75/1.15  (107) {G0,W6,D2,L3,V1,M3}  { ! epsilon_transitive( X ), ! epsilon_connected
% 0.75/1.15    ( X ), ordinal( X ) }.
% 0.75/1.15  (108) {G0,W2,D2,L1,V0,M1}  { epsilon_transitive( skol2 ) }.
% 0.75/1.15  (109) {G0,W2,D2,L1,V0,M1}  { epsilon_connected( skol2 ) }.
% 0.75/1.15  (110) {G0,W2,D2,L1,V0,M1}  { ordinal( skol2 ) }.
% 0.75/1.15  (111) {G0,W2,D2,L1,V0,M1}  { relation( skol3 ) }.
% 0.75/1.15  (112) {G0,W2,D2,L1,V0,M1}  { function( skol3 ) }.
% 0.75/1.15  (113) {G0,W2,D2,L1,V0,M1}  { relation( skol4 ) }.
% 0.75/1.15  (114) {G0,W2,D2,L1,V0,M1}  { empty( skol4 ) }.
% 0.75/1.15  (115) {G0,W2,D2,L1,V0,M1}  { function( skol4 ) }.
% 0.75/1.15  (116) {G0,W2,D2,L1,V0,M1}  { relation( skol5 ) }.
% 0.75/1.15  (117) {G0,W2,D2,L1,V0,M1}  { function( skol5 ) }.
% 0.75/1.15  (118) {G0,W2,D2,L1,V0,M1}  { one_to_one( skol5 ) }.
% 0.75/1.15  (119) {G0,W2,D2,L1,V0,M1}  { relation( skol6 ) }.
% 0.75/1.15  (120) {G0,W2,D2,L1,V0,M1}  { relation_empty_yielding( skol6 ) }.
% 0.75/1.15  (121) {G0,W2,D2,L1,V0,M1}  { function( skol6 ) }.
% 0.75/1.15  (122) {G0,W2,D2,L1,V0,M1}  { relation( skol7 ) }.
% 0.75/1.15  (123) {G0,W2,D2,L1,V0,M1}  { relation_non_empty( skol7 ) }.
% 0.75/1.15  (124) {G0,W2,D2,L1,V0,M1}  { function( skol7 ) }.
% 0.75/1.15  (125) {G0,W2,D2,L1,V0,M1}  { empty( empty_set ) }.
% 0.75/1.15  (126) {G0,W2,D2,L1,V0,M1}  { relation( empty_set ) }.
% 0.75/1.15  (127) {G0,W2,D2,L1,V0,M1}  { empty( empty_set ) }.
% 0.75/1.15  (128) {G0,W2,D2,L1,V0,M1}  { relation( empty_set ) }.
% 0.75/1.15  (129) {G0,W2,D2,L1,V0,M1}  { relation_empty_yielding( empty_set ) }.
% 0.75/1.15  (130) {G0,W2,D2,L1,V0,M1}  { empty( skol8 ) }.
% 0.75/1.15  (131) {G0,W2,D2,L1,V0,M1}  { relation( skol8 ) }.
% 0.75/1.15  (132) {G0,W2,D2,L1,V0,M1}  { ! empty( skol9 ) }.
% 0.75/1.15  (133) {G0,W2,D2,L1,V0,M1}  { relation( skol9 ) }.
% 0.75/1.15  (134) {G0,W2,D2,L1,V0,M1}  { relation( skol10 ) }.
% 0.75/1.15  (135) {G0,W2,D2,L1,V0,M1}  { relation_empty_yielding( skol10 ) }.
% 0.75/1.15  (136) {G0,W2,D2,L1,V0,M1}  { empty( empty_set ) }.
% 0.75/1.15  (137) {G0,W2,D2,L1,V0,M1}  { empty( skol11 ) }.
% 0.75/1.15  (138) {G0,W2,D2,L1,V0,M1}  { ! empty( skol12 ) }.
% 0.75/1.15  (139) {G0,W5,D2,L2,V1,M2}  { ! empty( X ), X = empty_set }.
% 0.75/1.15  (140) {G0,W2,D2,L1,V0,M1}  { ! ordinal( empty_set ) }.
% 0.75/1.15  (141) {G0,W4,D2,L2,V1,M2}  { ! ordinal( X ), epsilon_transitive( X ) }.
% 0.75/1.15  (142) {G0,W4,D2,L2,V1,M2}  { ! ordinal( X ), epsilon_connected( X ) }.
% 0.75/1.15  (143) {G0,W6,D2,L3,V1,M3}  { ! epsilon_transitive( X ), ! epsilon_connected
% 0.75/1.15    ( X ), ordinal( X ) }.
% 0.75/1.15  (144) {G0,W2,D2,L1,V0,M1}  { epsilon_transitive( empty_set ) }.
% 0.75/1.15  (145) {G0,W2,D2,L1,V0,M1}  { epsilon_connected( empty_set ) }.
% 0.75/1.15  
% 0.75/1.15  
% 0.75/1.15  Total Proof:
% 0.75/1.15  
% 0.75/1.15  subsumption: (11) {G0,W6,D2,L3,V1,M3} I { ! epsilon_transitive( X ), ! 
% 0.75/1.15    epsilon_connected( X ), ordinal( X ) }.
% 0.75/1.15  parent0: (107) {G0,W6,D2,L3,V1,M3}  { ! epsilon_transitive( X ), ! 
% 0.75/1.15    epsilon_connected( X ), ordinal( X ) }.
% 0.75/1.15  substitution0:
% 0.75/1.15     X := X
% 0.75/1.15  end
% 0.75/1.15  permutation0:
% 0.75/1.15     0 ==> 0
% 0.75/1.15     1 ==> 1
% 0.75/1.15     2 ==> 2
% 0.75/1.15  end
% 0.75/1.15  
% 0.75/1.15  subsumption: (41) {G0,W2,D2,L1,V0,M1} I { ! ordinal( empty_set ) }.
% 0.75/1.15  parent0: (140) {G0,W2,D2,L1,V0,M1}  { ! ordinal( empty_set ) }.
% 0.75/1.15  substitution0:
% 0.75/1.15  end
% 0.75/1.15  permutation0:
% 0.75/1.15     0 ==> 0
% 0.75/1.15  end
% 0.75/1.15  
% 0.75/1.15  subsumption: (42) {G0,W2,D2,L1,V0,M1} I { epsilon_transitive( empty_set )
% 0.75/1.15     }.
% 0.75/1.15  parent0: (144) {G0,W2,D2,L1,V0,M1}  { epsilon_transitive( empty_set ) }.
% 0.75/1.15  substitution0:
% 0.75/1.15  end
% 0.75/1.15  permutation0:
% 0.75/1.15     0 ==> 0
% 0.75/1.15  end
% 0.75/1.15  
% 0.75/1.15  subsumption: (43) {G0,W2,D2,L1,V0,M1} I { epsilon_connected( empty_set )
% 0.75/1.15     }.
% 0.75/1.15  parent0: (145) {G0,W2,D2,L1,V0,M1}  { epsilon_connected( empty_set ) }.
% 0.75/1.15  substitution0:
% 0.75/1.15  end
% 0.75/1.15  permutation0:
% 0.75/1.15     0 ==> 0
% 0.75/1.15  end
% 0.75/1.15  
% 0.75/1.15  resolution: (157) {G1,W4,D2,L2,V0,M2}  { ! epsilon_transitive( empty_set )
% 0.75/1.15    , ! epsilon_connected( empty_set ) }.
% 0.75/1.15  parent0[0]: (41) {G0,W2,D2,L1,V0,M1} I { ! ordinal( empty_set ) }.
% 0.75/1.15  parent1[2]: (11) {G0,W6,D2,L3,V1,M3} I { ! epsilon_transitive( X ), ! 
% 0.75/1.15    epsilon_connected( X ), ordinal( X ) }.
% 0.75/1.15  substitution0:
% 0.75/1.15  end
% 0.75/1.15  substitution1:
% 0.75/1.15     X := empty_set
% 0.75/1.15  end
% 0.75/1.15  
% 0.75/1.15  resolution: (158) {G1,W2,D2,L1,V0,M1}  { ! epsilon_connected( empty_set )
% 0.75/1.15     }.
% 0.75/1.15  parent0[0]: (157) {G1,W4,D2,L2,V0,M2}  { ! epsilon_transitive( empty_set )
% 0.75/1.15    , ! epsilon_connected( empty_set ) }.
% 0.75/1.15  parent1[0]: (42) {G0,W2,D2,L1,V0,M1} I { epsilon_transitive( empty_set )
% 0.75/1.15     }.
% 0.75/1.15  substitution0:
% 0.75/1.15  end
% 0.75/1.15  substitution1:
% 0.75/1.15  end
% 0.75/1.15  
% 0.75/1.15  subsumption: (90) {G1,W2,D2,L1,V0,M1} R(11,41);r(42) { ! epsilon_connected
% 0.75/1.15    ( empty_set ) }.
% 0.75/1.15  parent0: (158) {G1,W2,D2,L1,V0,M1}  { ! epsilon_connected( empty_set ) }.
% 0.75/1.15  substitution0:
% 0.75/1.15  end
% 0.75/1.15  permutation0:
% 0.75/1.15     0 ==> 0
% 0.75/1.15  end
% 0.75/1.15  
% 0.75/1.15  resolution: (159) {G1,W0,D0,L0,V0,M0}  {  }.
% 0.75/1.15  parent0[0]: (90) {G1,W2,D2,L1,V0,M1} R(11,41);r(42) { ! epsilon_connected( 
% 0.75/1.15    empty_set ) }.
% 0.75/1.15  parent1[0]: (43) {G0,W2,D2,L1,V0,M1} I { epsilon_connected( empty_set ) }.
% 0.75/1.15  substitution0:
% 0.75/1.15  end
% 0.75/1.15  substitution1:
% 0.75/1.15  end
% 0.75/1.15  
% 0.75/1.15  subsumption: (92) {G2,W0,D0,L0,V0,M0} S(90);r(43) {  }.
% 0.75/1.15  parent0: (159) {G1,W0,D0,L0,V0,M0}  {  }.
% 0.75/1.15  substitution0:
% 0.75/1.15  end
% 0.75/1.15  permutation0:
% 0.75/1.15  end
% 0.75/1.15  
% 0.75/1.15  Proof check complete!
% 0.75/1.15  
% 0.75/1.15  Memory use:
% 0.75/1.15  
% 0.75/1.15  space for terms:        1008
% 0.75/1.15  space for clauses:      4262
% 0.75/1.15  
% 0.75/1.15  
% 0.75/1.15  clauses generated:      221
% 0.75/1.15  clauses kept:           93
% 0.75/1.15  clauses selected:       60
% 0.75/1.15  clauses deleted:        2
% 0.75/1.15  clauses inuse deleted:  0
% 0.75/1.15  
% 0.75/1.15  subsentry:          188
% 0.75/1.15  literals s-matched: 134
% 0.75/1.15  literals matched:   134
% 0.75/1.15  full subsumption:   23
% 0.75/1.15  
% 0.75/1.15  checksum:           1485881654
% 0.75/1.15  
% 0.75/1.15  
% 0.75/1.15  Bliksem ended
%------------------------------------------------------------------------------