TSTP Solution File: SEU116+1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SEU116+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n004.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 Jul 19 07:10:41 EDT 2022

% Result   : Theorem 0.71s 1.08s
% Output   : Refutation 0.71s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU116+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13  % Command  : bliksem %s
% 0.14/0.34  % Computer : n004.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % DateTime : Sun Jun 19 11:42:38 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.71/1.08  *** allocated 10000 integers for termspace/termends
% 0.71/1.08  *** allocated 10000 integers for clauses
% 0.71/1.08  *** allocated 10000 integers for justifications
% 0.71/1.08  Bliksem 1.12
% 0.71/1.08  
% 0.71/1.08  
% 0.71/1.08  Automatic Strategy Selection
% 0.71/1.08  
% 0.71/1.08  
% 0.71/1.08  Clauses:
% 0.71/1.08  
% 0.71/1.08  { subset( X, X ) }.
% 0.71/1.08  { ! in( X, Y ), ! in( Y, X ) }.
% 0.71/1.08  { empty( empty_set ) }.
% 0.71/1.08  { ! in( X, Y ), element( X, Y ) }.
% 0.71/1.08  { ! in( X, Z ), ! element( Z, powerset( Y ) ), element( X, Y ) }.
% 0.71/1.08  { ! in( X, Y ), ! element( Y, powerset( Z ) ), ! empty( Z ) }.
% 0.71/1.08  { ! empty( X ), X = Y, ! empty( Y ) }.
% 0.71/1.08  { ! empty( powerset( X ) ) }.
% 0.71/1.08  { cup_closed( powerset( X ) ) }.
% 0.71/1.08  { diff_closed( powerset( X ) ) }.
% 0.71/1.08  { preboolean( powerset( X ) ) }.
% 0.71/1.08  { ! preboolean( X ), cup_closed( X ) }.
% 0.71/1.08  { ! preboolean( X ), diff_closed( X ) }.
% 0.71/1.08  { ! cup_closed( X ), ! diff_closed( X ), preboolean( X ) }.
% 0.71/1.08  { ! empty( X ), finite( X ) }.
% 0.71/1.08  { ! finite( X ), ! element( Y, powerset( X ) ), finite( Y ) }.
% 0.71/1.08  { ! empty( powerset( X ) ) }.
% 0.71/1.08  { ! element( X, Y ), empty( Y ), in( X, Y ) }.
% 0.71/1.08  { ! element( X, powerset( Y ) ), subset( X, Y ) }.
% 0.71/1.08  { ! subset( X, Y ), element( X, powerset( Y ) ) }.
% 0.71/1.08  { ! empty( X ), X = empty_set }.
% 0.71/1.08  { ! in( X, Y ), ! empty( Y ) }.
% 0.71/1.08  { element( skol1( X ), X ) }.
% 0.71/1.08  { preboolean( finite_subsets( X ) ) }.
% 0.71/1.08  { ! empty( finite_subsets( X ) ) }.
% 0.71/1.08  { cup_closed( finite_subsets( X ) ) }.
% 0.71/1.08  { diff_closed( finite_subsets( X ) ) }.
% 0.71/1.08  { preboolean( finite_subsets( X ) ) }.
% 0.71/1.08  { ! element( X, finite_subsets( Y ) ), finite( X ) }.
% 0.71/1.08  { ! empty( skol2 ) }.
% 0.71/1.08  { cup_closed( skol2 ) }.
% 0.71/1.08  { cap_closed( skol2 ) }.
% 0.71/1.08  { diff_closed( skol2 ) }.
% 0.71/1.08  { preboolean( skol2 ) }.
% 0.71/1.08  { ! empty( skol3 ) }.
% 0.71/1.08  { finite( skol3 ) }.
% 0.71/1.08  { empty( skol4( Y ) ) }.
% 0.71/1.08  { relation( skol4( Y ) ) }.
% 0.71/1.08  { function( skol4( Y ) ) }.
% 0.71/1.08  { one_to_one( skol4( Y ) ) }.
% 0.71/1.08  { epsilon_transitive( skol4( Y ) ) }.
% 0.71/1.08  { epsilon_connected( skol4( Y ) ) }.
% 0.71/1.08  { ordinal( skol4( Y ) ) }.
% 0.71/1.08  { natural( skol4( Y ) ) }.
% 0.71/1.08  { finite( skol4( Y ) ) }.
% 0.71/1.08  { element( skol4( X ), powerset( X ) ) }.
% 0.71/1.08  { empty( X ), ! empty( skol5( Y ) ) }.
% 0.71/1.08  { empty( X ), finite( skol5( Y ) ) }.
% 0.71/1.08  { empty( X ), element( skol5( X ), powerset( X ) ) }.
% 0.71/1.08  { empty( X ), ! empty( skol6( Y ) ) }.
% 0.71/1.08  { empty( X ), finite( skol6( Y ) ) }.
% 0.71/1.08  { empty( X ), element( skol6( X ), powerset( X ) ) }.
% 0.71/1.08  { empty( X ), ! empty( skol7( Y ) ) }.
% 0.71/1.08  { empty( X ), element( skol7( X ), powerset( X ) ) }.
% 0.71/1.08  { empty( skol8( Y ) ) }.
% 0.71/1.08  { element( skol8( X ), powerset( X ) ) }.
% 0.71/1.08  { empty( skol9 ) }.
% 0.71/1.08  { ! empty( skol10 ) }.
% 0.71/1.08  { element( skol11, finite_subsets( skol12 ) ) }.
% 0.71/1.08  { ! finite( skol11 ) }.
% 0.71/1.08  
% 0.71/1.08  percentage equality = 0.022727, percentage horn = 0.896552
% 0.71/1.08  This is a problem with some equality
% 0.71/1.08  
% 0.71/1.08  
% 0.71/1.08  
% 0.71/1.08  Options Used:
% 0.71/1.08  
% 0.71/1.08  useres =            1
% 0.71/1.08  useparamod =        1
% 0.71/1.08  useeqrefl =         1
% 0.71/1.08  useeqfact =         1
% 0.71/1.08  usefactor =         1
% 0.71/1.08  usesimpsplitting =  0
% 0.71/1.08  usesimpdemod =      5
% 0.71/1.08  usesimpres =        3
% 0.71/1.08  
% 0.71/1.08  resimpinuse      =  1000
% 0.71/1.08  resimpclauses =     20000
% 0.71/1.08  substype =          eqrewr
% 0.71/1.08  backwardsubs =      1
% 0.71/1.08  selectoldest =      5
% 0.71/1.08  
% 0.71/1.08  litorderings [0] =  split
% 0.71/1.08  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.71/1.08  
% 0.71/1.08  termordering =      kbo
% 0.71/1.08  
% 0.71/1.08  litapriori =        0
% 0.71/1.08  termapriori =       1
% 0.71/1.08  litaposteriori =    0
% 0.71/1.08  termaposteriori =   0
% 0.71/1.08  demodaposteriori =  0
% 0.71/1.08  ordereqreflfact =   0
% 0.71/1.08  
% 0.71/1.08  litselect =         negord
% 0.71/1.08  
% 0.71/1.08  maxweight =         15
% 0.71/1.08  maxdepth =          30000
% 0.71/1.08  maxlength =         115
% 0.71/1.08  maxnrvars =         195
% 0.71/1.08  excuselevel =       1
% 0.71/1.08  increasemaxweight = 1
% 0.71/1.08  
% 0.71/1.08  maxselected =       10000000
% 0.71/1.08  maxnrclauses =      10000000
% 0.71/1.08  
% 0.71/1.08  showgenerated =    0
% 0.71/1.08  showkept =         0
% 0.71/1.08  showselected =     0
% 0.71/1.08  showdeleted =      0
% 0.71/1.08  showresimp =       1
% 0.71/1.08  showstatus =       2000
% 0.71/1.08  
% 0.71/1.08  prologoutput =     0
% 0.71/1.08  nrgoals =          5000000
% 0.71/1.08  totalproof =       1
% 0.71/1.08  
% 0.71/1.08  Symbols occurring in the translation:
% 0.71/1.08  
% 0.71/1.08  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.71/1.08  .  [1, 2]      (w:1, o:42, a:1, s:1, b:0), 
% 0.71/1.08  !  [4, 1]      (w:0, o:16, a:1, s:1, b:0), 
% 0.71/1.08  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.71/1.08  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.71/1.08  subset  [37, 2]      (w:1, o:66, a:1, s:1, b:0), 
% 0.71/1.08  in  [38, 2]      (w:1, o:67, a:1, s:1, b:0), 
% 0.71/1.08  empty_set  [39, 0]      (w:1, o:8, a:1, s:1, b:0), 
% 0.71/1.08  empty  [40, 1]      (w:1, o:23, a:1, s:1, b:0), 
% 0.71/1.08  element  [41, 2]      (w:1, o:68, a:1, s:1, b:0), 
% 0.71/1.08  powerset  [43, 1]      (w:1, o:27, a:1, s:1, b:0), 
% 0.71/1.08  cup_closed  [44, 1]      (w:1, o:28, a:1, s:1, b:0), 
% 0.71/1.08  diff_closed  [45, 1]      (w:1, o:22, a:1, s:1, b:0), 
% 0.71/1.08  preboolean  [46, 1]      (w:1, o:29, a:1, s:1, b:0), 
% 0.71/1.08  finite  [47, 1]      (w:1, o:32, a:1, s:1, b:0), 
% 0.71/1.08  finite_subsets  [48, 1]      (w:1, o:33, a:1, s:1, b:0), 
% 0.71/1.08  cap_closed  [49, 1]      (w:1, o:21, a:1, s:1, b:0), 
% 0.71/1.08  relation  [50, 1]      (w:1, o:34, a:1, s:1, b:0), 
% 0.71/1.08  function  [51, 1]      (w:1, o:35, a:1, s:1, b:0), 
% 0.71/1.08  one_to_one  [52, 1]      (w:1, o:25, a:1, s:1, b:0), 
% 0.71/1.08  epsilon_transitive  [53, 1]      (w:1, o:30, a:1, s:1, b:0), 
% 0.71/1.08  epsilon_connected  [54, 1]      (w:1, o:31, a:1, s:1, b:0), 
% 0.71/1.08  ordinal  [55, 1]      (w:1, o:26, a:1, s:1, b:0), 
% 0.71/1.08  natural  [56, 1]      (w:1, o:24, a:1, s:1, b:0), 
% 0.71/1.08  skol1  [57, 1]      (w:1, o:36, a:1, s:1, b:1), 
% 0.71/1.08  skol2  [58, 0]      (w:1, o:13, a:1, s:1, b:1), 
% 0.71/1.08  skol3  [59, 0]      (w:1, o:14, a:1, s:1, b:1), 
% 0.71/1.08  skol4  [60, 1]      (w:1, o:37, a:1, s:1, b:1), 
% 0.71/1.08  skol5  [61, 1]      (w:1, o:38, a:1, s:1, b:1), 
% 0.71/1.08  skol6  [62, 1]      (w:1, o:39, a:1, s:1, b:1), 
% 0.71/1.08  skol7  [63, 1]      (w:1, o:40, a:1, s:1, b:1), 
% 0.71/1.08  skol8  [64, 1]      (w:1, o:41, a:1, s:1, b:1), 
% 0.71/1.08  skol9  [65, 0]      (w:1, o:15, a:1, s:1, b:1), 
% 0.71/1.08  skol10  [66, 0]      (w:1, o:10, a:1, s:1, b:1), 
% 0.71/1.08  skol11  [67, 0]      (w:1, o:11, a:1, s:1, b:1), 
% 0.71/1.08  skol12  [68, 0]      (w:1, o:12, a:1, s:1, b:1).
% 0.71/1.08  
% 0.71/1.08  
% 0.71/1.08  Starting Search:
% 0.71/1.08  
% 0.71/1.08  
% 0.71/1.08  Bliksems!, er is een bewijs:
% 0.71/1.08  % SZS status Theorem
% 0.71/1.08  % SZS output start Refutation
% 0.71/1.08  
% 0.71/1.08  (26) {G0,W6,D3,L2,V2,M2} I { ! element( X, finite_subsets( Y ) ), finite( X
% 0.71/1.08     ) }.
% 0.71/1.08  (56) {G0,W4,D3,L1,V0,M1} I { element( skol11, finite_subsets( skol12 ) )
% 0.71/1.08     }.
% 0.71/1.08  (57) {G0,W2,D2,L1,V0,M1} I { ! finite( skol11 ) }.
% 0.71/1.08  (172) {G1,W0,D0,L0,V0,M0} R(26,56);r(57) {  }.
% 0.71/1.08  
% 0.71/1.08  
% 0.71/1.08  % SZS output end Refutation
% 0.71/1.08  found a proof!
% 0.71/1.08  
% 0.71/1.08  
% 0.71/1.08  Unprocessed initial clauses:
% 0.71/1.08  
% 0.71/1.08  (174) {G0,W3,D2,L1,V1,M1}  { subset( X, X ) }.
% 0.71/1.08  (175) {G0,W6,D2,L2,V2,M2}  { ! in( X, Y ), ! in( Y, X ) }.
% 0.71/1.08  (176) {G0,W2,D2,L1,V0,M1}  { empty( empty_set ) }.
% 0.71/1.08  (177) {G0,W6,D2,L2,V2,M2}  { ! in( X, Y ), element( X, Y ) }.
% 0.71/1.08  (178) {G0,W10,D3,L3,V3,M3}  { ! in( X, Z ), ! element( Z, powerset( Y ) ), 
% 0.71/1.08    element( X, Y ) }.
% 0.71/1.08  (179) {G0,W9,D3,L3,V3,M3}  { ! in( X, Y ), ! element( Y, powerset( Z ) ), !
% 0.71/1.08     empty( Z ) }.
% 0.71/1.08  (180) {G0,W7,D2,L3,V2,M3}  { ! empty( X ), X = Y, ! empty( Y ) }.
% 0.71/1.08  (181) {G0,W3,D3,L1,V1,M1}  { ! empty( powerset( X ) ) }.
% 0.71/1.08  (182) {G0,W3,D3,L1,V1,M1}  { cup_closed( powerset( X ) ) }.
% 0.71/1.08  (183) {G0,W3,D3,L1,V1,M1}  { diff_closed( powerset( X ) ) }.
% 0.71/1.08  (184) {G0,W3,D3,L1,V1,M1}  { preboolean( powerset( X ) ) }.
% 0.71/1.08  (185) {G0,W4,D2,L2,V1,M2}  { ! preboolean( X ), cup_closed( X ) }.
% 0.71/1.08  (186) {G0,W4,D2,L2,V1,M2}  { ! preboolean( X ), diff_closed( X ) }.
% 0.71/1.08  (187) {G0,W6,D2,L3,V1,M3}  { ! cup_closed( X ), ! diff_closed( X ), 
% 0.71/1.08    preboolean( X ) }.
% 0.71/1.08  (188) {G0,W4,D2,L2,V1,M2}  { ! empty( X ), finite( X ) }.
% 0.71/1.08  (189) {G0,W8,D3,L3,V2,M3}  { ! finite( X ), ! element( Y, powerset( X ) ), 
% 0.71/1.08    finite( Y ) }.
% 0.71/1.08  (190) {G0,W3,D3,L1,V1,M1}  { ! empty( powerset( X ) ) }.
% 0.71/1.08  (191) {G0,W8,D2,L3,V2,M3}  { ! element( X, Y ), empty( Y ), in( X, Y ) }.
% 0.71/1.08  (192) {G0,W7,D3,L2,V2,M2}  { ! element( X, powerset( Y ) ), subset( X, Y )
% 0.71/1.08     }.
% 0.71/1.08  (193) {G0,W7,D3,L2,V2,M2}  { ! subset( X, Y ), element( X, powerset( Y ) )
% 0.71/1.08     }.
% 0.71/1.08  (194) {G0,W5,D2,L2,V1,M2}  { ! empty( X ), X = empty_set }.
% 0.71/1.08  (195) {G0,W5,D2,L2,V2,M2}  { ! in( X, Y ), ! empty( Y ) }.
% 0.71/1.08  (196) {G0,W4,D3,L1,V1,M1}  { element( skol1( X ), X ) }.
% 0.71/1.08  (197) {G0,W3,D3,L1,V1,M1}  { preboolean( finite_subsets( X ) ) }.
% 0.71/1.08  (198) {G0,W3,D3,L1,V1,M1}  { ! empty( finite_subsets( X ) ) }.
% 0.71/1.08  (199) {G0,W3,D3,L1,V1,M1}  { cup_closed( finite_subsets( X ) ) }.
% 0.71/1.08  (200) {G0,W3,D3,L1,V1,M1}  { diff_closed( finite_subsets( X ) ) }.
% 0.71/1.08  (201) {G0,W3,D3,L1,V1,M1}  { preboolean( finite_subsets( X ) ) }.
% 0.71/1.08  (202) {G0,W6,D3,L2,V2,M2}  { ! element( X, finite_subsets( Y ) ), finite( X
% 0.71/1.08     ) }.
% 0.71/1.08  (203) {G0,W2,D2,L1,V0,M1}  { ! empty( skol2 ) }.
% 0.71/1.08  (204) {G0,W2,D2,L1,V0,M1}  { cup_closed( skol2 ) }.
% 0.71/1.08  (205) {G0,W2,D2,L1,V0,M1}  { cap_closed( skol2 ) }.
% 0.71/1.08  (206) {G0,W2,D2,L1,V0,M1}  { diff_closed( skol2 ) }.
% 0.71/1.08  (207) {G0,W2,D2,L1,V0,M1}  { preboolean( skol2 ) }.
% 0.71/1.08  (208) {G0,W2,D2,L1,V0,M1}  { ! empty( skol3 ) }.
% 0.71/1.08  (209) {G0,W2,D2,L1,V0,M1}  { finite( skol3 ) }.
% 0.71/1.08  (210) {G0,W3,D3,L1,V1,M1}  { empty( skol4( Y ) ) }.
% 0.71/1.08  (211) {G0,W3,D3,L1,V1,M1}  { relation( skol4( Y ) ) }.
% 0.71/1.08  (212) {G0,W3,D3,L1,V1,M1}  { function( skol4( Y ) ) }.
% 0.71/1.08  (213) {G0,W3,D3,L1,V1,M1}  { one_to_one( skol4( Y ) ) }.
% 0.71/1.08  (214) {G0,W3,D3,L1,V1,M1}  { epsilon_transitive( skol4( Y ) ) }.
% 0.71/1.08  (215) {G0,W3,D3,L1,V1,M1}  { epsilon_connected( skol4( Y ) ) }.
% 0.71/1.08  (216) {G0,W3,D3,L1,V1,M1}  { ordinal( skol4( Y ) ) }.
% 0.71/1.08  (217) {G0,W3,D3,L1,V1,M1}  { natural( skol4( Y ) ) }.
% 0.71/1.08  (218) {G0,W3,D3,L1,V1,M1}  { finite( skol4( Y ) ) }.
% 0.71/1.08  (219) {G0,W5,D3,L1,V1,M1}  { element( skol4( X ), powerset( X ) ) }.
% 0.71/1.08  (220) {G0,W5,D3,L2,V2,M2}  { empty( X ), ! empty( skol5( Y ) ) }.
% 0.71/1.08  (221) {G0,W5,D3,L2,V2,M2}  { empty( X ), finite( skol5( Y ) ) }.
% 0.71/1.08  (222) {G0,W7,D3,L2,V1,M2}  { empty( X ), element( skol5( X ), powerset( X )
% 0.71/1.08     ) }.
% 0.71/1.08  (223) {G0,W5,D3,L2,V2,M2}  { empty( X ), ! empty( skol6( Y ) ) }.
% 0.71/1.08  (224) {G0,W5,D3,L2,V2,M2}  { empty( X ), finite( skol6( Y ) ) }.
% 0.71/1.08  (225) {G0,W7,D3,L2,V1,M2}  { empty( X ), element( skol6( X ), powerset( X )
% 0.71/1.08     ) }.
% 0.71/1.08  (226) {G0,W5,D3,L2,V2,M2}  { empty( X ), ! empty( skol7( Y ) ) }.
% 0.71/1.08  (227) {G0,W7,D3,L2,V1,M2}  { empty( X ), element( skol7( X ), powerset( X )
% 0.71/1.08     ) }.
% 0.71/1.08  (228) {G0,W3,D3,L1,V1,M1}  { empty( skol8( Y ) ) }.
% 0.71/1.08  (229) {G0,W5,D3,L1,V1,M1}  { element( skol8( X ), powerset( X ) ) }.
% 0.71/1.08  (230) {G0,W2,D2,L1,V0,M1}  { empty( skol9 ) }.
% 0.71/1.08  (231) {G0,W2,D2,L1,V0,M1}  { ! empty( skol10 ) }.
% 0.71/1.08  (232) {G0,W4,D3,L1,V0,M1}  { element( skol11, finite_subsets( skol12 ) )
% 0.71/1.08     }.
% 0.71/1.08  (233) {G0,W2,D2,L1,V0,M1}  { ! finite( skol11 ) }.
% 0.71/1.08  
% 0.71/1.08  
% 0.71/1.08  Total Proof:
% 0.71/1.08  
% 0.71/1.08  subsumption: (26) {G0,W6,D3,L2,V2,M2} I { ! element( X, finite_subsets( Y )
% 0.71/1.08     ), finite( X ) }.
% 0.71/1.08  parent0: (202) {G0,W6,D3,L2,V2,M2}  { ! element( X, finite_subsets( Y ) ), 
% 0.71/1.08    finite( X ) }.
% 0.71/1.08  substitution0:
% 0.71/1.08     X := X
% 0.71/1.08     Y := Y
% 0.71/1.08  end
% 0.71/1.08  permutation0:
% 0.71/1.08     0 ==> 0
% 0.71/1.08     1 ==> 1
% 0.71/1.08  end
% 0.71/1.08  
% 0.71/1.08  subsumption: (56) {G0,W4,D3,L1,V0,M1} I { element( skol11, finite_subsets( 
% 0.71/1.08    skol12 ) ) }.
% 0.71/1.08  parent0: (232) {G0,W4,D3,L1,V0,M1}  { element( skol11, finite_subsets( 
% 0.71/1.08    skol12 ) ) }.
% 0.71/1.08  substitution0:
% 0.71/1.08  end
% 0.71/1.08  permutation0:
% 0.71/1.08     0 ==> 0
% 0.71/1.08  end
% 0.71/1.08  
% 0.71/1.08  subsumption: (57) {G0,W2,D2,L1,V0,M1} I { ! finite( skol11 ) }.
% 0.71/1.08  parent0: (233) {G0,W2,D2,L1,V0,M1}  { ! finite( skol11 ) }.
% 0.71/1.08  substitution0:
% 0.71/1.08  end
% 0.71/1.08  permutation0:
% 0.71/1.08     0 ==> 0
% 0.71/1.08  end
% 0.71/1.08  
% 0.71/1.08  resolution: (243) {G1,W2,D2,L1,V0,M1}  { finite( skol11 ) }.
% 0.71/1.08  parent0[0]: (26) {G0,W6,D3,L2,V2,M2} I { ! element( X, finite_subsets( Y )
% 0.71/1.08     ), finite( X ) }.
% 0.71/1.08  parent1[0]: (56) {G0,W4,D3,L1,V0,M1} I { element( skol11, finite_subsets( 
% 0.71/1.08    skol12 ) ) }.
% 0.71/1.08  substitution0:
% 0.71/1.08     X := skol11
% 0.71/1.08     Y := skol12
% 0.71/1.08  end
% 0.71/1.08  substitution1:
% 0.71/1.08  end
% 0.71/1.08  
% 0.71/1.08  resolution: (244) {G1,W0,D0,L0,V0,M0}  {  }.
% 0.71/1.08  parent0[0]: (57) {G0,W2,D2,L1,V0,M1} I { ! finite( skol11 ) }.
% 0.71/1.08  parent1[0]: (243) {G1,W2,D2,L1,V0,M1}  { finite( skol11 ) }.
% 0.71/1.08  substitution0:
% 0.71/1.08  end
% 0.71/1.08  substitution1:
% 0.71/1.08  end
% 0.71/1.08  
% 0.71/1.08  subsumption: (172) {G1,W0,D0,L0,V0,M0} R(26,56);r(57) {  }.
% 0.71/1.08  parent0: (244) {G1,W0,D0,L0,V0,M0}  {  }.
% 0.71/1.08  substitution0:
% 0.71/1.08  end
% 0.71/1.08  permutation0:
% 0.71/1.08  end
% 0.71/1.08  
% 0.71/1.08  Proof check complete!
% 0.71/1.08  
% 0.71/1.08  Memory use:
% 0.71/1.08  
% 0.71/1.08  space for terms:        1905
% 0.71/1.08  space for clauses:      8431
% 0.71/1.08  
% 0.71/1.08  
% 0.71/1.08  clauses generated:      500
% 0.71/1.08  clauses kept:           173
% 0.71/1.08  clauses selected:       90
% 0.71/1.08  clauses deleted:        1
% 0.71/1.08  clauses inuse deleted:  0
% 0.71/1.08  
% 0.71/1.08  subsentry:          462
% 0.71/1.08  literals s-matched: 411
% 0.71/1.08  literals matched:   411
% 0.71/1.08  full subsumption:   54
% 0.71/1.08  
% 0.71/1.08  checksum:           -1537670121
% 0.71/1.08  
% 0.71/1.08  
% 0.71/1.08  Bliksem ended
%------------------------------------------------------------------------------