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Bliksem---1.12.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SET579+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n007.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 22:50:24 EDT 2022

% Result   : Theorem 1.72s 2.09s
% Output   : Refutation 1.72s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET579+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13  % Command  : bliksem %s
% 0.12/0.34  % Computer : n007.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % DateTime : Mon Jul 11 04:20:17 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 1.72/2.09  *** allocated 10000 integers for termspace/termends
% 1.72/2.09  *** allocated 10000 integers for clauses
% 1.72/2.09  *** allocated 10000 integers for justifications
% 1.72/2.09  Bliksem 1.12
% 1.72/2.09  
% 1.72/2.09  
% 1.72/2.09  Automatic Strategy Selection
% 1.72/2.09  
% 1.72/2.09  
% 1.72/2.09  Clauses:
% 1.72/2.09  
% 1.72/2.09  { ! member( Z, difference( X, Y ) ), member( Z, X ) }.
% 1.72/2.09  { ! member( Z, difference( X, Y ) ), ! member( Z, Y ) }.
% 1.72/2.09  { ! member( Z, X ), member( Z, Y ), member( Z, difference( X, Y ) ) }.
% 1.72/2.09  { ! X = Y, subset( X, Y ) }.
% 1.72/2.09  { ! X = Y, subset( Y, X ) }.
% 1.72/2.09  { ! subset( X, Y ), ! subset( Y, X ), X = Y }.
% 1.72/2.09  { ! subset( X, Y ), ! member( Z, X ), member( Z, Y ) }.
% 1.72/2.09  { ! member( skol1( Z, Y ), Y ), subset( X, Y ) }.
% 1.72/2.09  { member( skol1( X, Y ), X ), subset( X, Y ) }.
% 1.72/2.09  { subset( X, X ) }.
% 1.72/2.09  { ! member( X, skol2 ), member( X, skol3 ) }.
% 1.72/2.09  { ! member( X, skol2 ), ! member( X, skol4 ) }.
% 1.72/2.09  { ! member( X, skol3 ), member( X, skol4 ), member( X, skol2 ) }.
% 1.72/2.09  { ! skol2 = difference( skol3, skol4 ) }.
% 1.72/2.09  
% 1.72/2.09  percentage equality = 0.133333, percentage horn = 0.785714
% 1.72/2.09  This is a problem with some equality
% 1.72/2.09  
% 1.72/2.09  
% 1.72/2.09  
% 1.72/2.09  Options Used:
% 1.72/2.09  
% 1.72/2.09  useres =            1
% 1.72/2.09  useparamod =        1
% 1.72/2.09  useeqrefl =         1
% 1.72/2.09  useeqfact =         1
% 1.72/2.09  usefactor =         1
% 1.72/2.09  usesimpsplitting =  0
% 1.72/2.09  usesimpdemod =      5
% 1.72/2.09  usesimpres =        3
% 1.72/2.09  
% 1.72/2.09  resimpinuse      =  1000
% 1.72/2.09  resimpclauses =     20000
% 1.72/2.09  substype =          eqrewr
% 1.72/2.09  backwardsubs =      1
% 1.72/2.09  selectoldest =      5
% 1.72/2.09  
% 1.72/2.09  litorderings [0] =  split
% 1.72/2.09  litorderings [1] =  extend the termordering, first sorting on arguments
% 1.72/2.09  
% 1.72/2.09  termordering =      kbo
% 1.72/2.09  
% 1.72/2.09  litapriori =        0
% 1.72/2.09  termapriori =       1
% 1.72/2.09  litaposteriori =    0
% 1.72/2.09  termaposteriori =   0
% 1.72/2.09  demodaposteriori =  0
% 1.72/2.09  ordereqreflfact =   0
% 1.72/2.09  
% 1.72/2.09  litselect =         negord
% 1.72/2.09  
% 1.72/2.09  maxweight =         15
% 1.72/2.09  maxdepth =          30000
% 1.72/2.09  maxlength =         115
% 1.72/2.09  maxnrvars =         195
% 1.72/2.09  excuselevel =       1
% 1.72/2.09  increasemaxweight = 1
% 1.72/2.09  
% 1.72/2.09  maxselected =       10000000
% 1.72/2.09  maxnrclauses =      10000000
% 1.72/2.09  
% 1.72/2.09  showgenerated =    0
% 1.72/2.09  showkept =         0
% 1.72/2.09  showselected =     0
% 1.72/2.09  showdeleted =      0
% 1.72/2.09  showresimp =       1
% 1.72/2.09  showstatus =       2000
% 1.72/2.09  
% 1.72/2.09  prologoutput =     0
% 1.72/2.09  nrgoals =          5000000
% 1.72/2.09  totalproof =       1
% 1.72/2.09  
% 1.72/2.09  Symbols occurring in the translation:
% 1.72/2.09  
% 1.72/2.09  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 1.72/2.09  .  [1, 2]      (w:1, o:18, a:1, s:1, b:0), 
% 1.72/2.09  !  [4, 1]      (w:0, o:13, a:1, s:1, b:0), 
% 1.72/2.09  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.72/2.09  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.72/2.09  difference  [38, 2]      (w:1, o:42, a:1, s:1, b:0), 
% 1.72/2.09  member  [39, 2]      (w:1, o:43, a:1, s:1, b:0), 
% 1.72/2.09  subset  [40, 2]      (w:1, o:44, a:1, s:1, b:0), 
% 1.72/2.09  skol1  [42, 2]      (w:1, o:45, a:1, s:1, b:1), 
% 1.72/2.09  skol2  [43, 0]      (w:1, o:10, a:1, s:1, b:1), 
% 1.72/2.09  skol3  [44, 0]      (w:1, o:11, a:1, s:1, b:1), 
% 1.72/2.09  skol4  [45, 0]      (w:1, o:12, a:1, s:1, b:1).
% 1.72/2.09  
% 1.72/2.09  
% 1.72/2.09  Starting Search:
% 1.72/2.09  
% 1.72/2.09  *** allocated 15000 integers for clauses
% 1.72/2.09  *** allocated 22500 integers for clauses
% 1.72/2.09  *** allocated 33750 integers for clauses
% 1.72/2.09  *** allocated 15000 integers for termspace/termends
% 1.72/2.09  *** allocated 50625 integers for clauses
% 1.72/2.09  Resimplifying inuse:
% 1.72/2.09  Done
% 1.72/2.09  
% 1.72/2.09  *** allocated 22500 integers for termspace/termends
% 1.72/2.09  *** allocated 75937 integers for clauses
% 1.72/2.09  *** allocated 33750 integers for termspace/termends
% 1.72/2.09  *** allocated 113905 integers for clauses
% 1.72/2.09  
% 1.72/2.09  Intermediate Status:
% 1.72/2.09  Generated:    7731
% 1.72/2.09  Kept:         2013
% 1.72/2.09  Inuse:        169
% 1.72/2.09  Deleted:      6
% 1.72/2.09  Deletedinuse: 2
% 1.72/2.09  
% 1.72/2.09  Resimplifying inuse:
% 1.72/2.09  Done
% 1.72/2.09  
% 1.72/2.09  *** allocated 50625 integers for termspace/termends
% 1.72/2.09  *** allocated 170857 integers for clauses
% 1.72/2.09  Resimplifying inuse:
% 1.72/2.09  Done
% 1.72/2.09  
% 1.72/2.09  *** allocated 75937 integers for termspace/termends
% 1.72/2.09  
% 1.72/2.09  Intermediate Status:
% 1.72/2.09  Generated:    20582
% 1.72/2.09  Kept:         4026
% 1.72/2.09  Inuse:        329
% 1.72/2.09  Deleted:      120
% 1.72/2.09  Deletedinuse: 91
% 1.72/2.09  
% 1.72/2.09  Resimplifying inuse:
% 1.72/2.09  Done
% 1.72/2.09  
% 1.72/2.09  *** allocated 256285 integers for clauses
% 1.72/2.09  Resimplifying inuse:
% 1.72/2.09  Done
% 1.72/2.09  
% 1.72/2.09  *** allocated 113905 integers for termspace/termends
% 1.72/2.09  
% 1.72/2.09  Intermediate Status:
% 1.72/2.09  Generated:    33874
% 1.72/2.09  Kept:         6102
% 1.72/2.09  Inuse:        471
% 1.72/2.09  Deleted:      161
% 1.72/2.09  Deletedinuse: 106
% 1.72/2.09  
% 1.72/2.09  Resimplifying inuse:
% 1.72/2.09  Done
% 1.72/2.09  
% 1.72/2.09  *** allocated 384427 integers for clauses
% 1.72/2.09  Resimplifying inuse:
% 1.72/2.09  Done
% 1.72/2.09  
% 1.72/2.09  *** allocated 170857 integers for termspace/termends
% 1.72/2.09  
% 1.72/2.09  Intermediate Status:
% 1.72/2.09  Generated:    49171
% 1.72/2.09  Kept:         8110
% 1.72/2.09  Inuse:        560
% 1.72/2.09  Deleted:      187
% 1.72/2.09  Deletedinuse: 118
% 1.72/2.09  
% 1.72/2.09  Resimplifying inuse:
% 1.72/2.09  Done
% 1.72/2.09  
% 1.72/2.09  Resimplifying inuse:
% 1.72/2.09  Done
% 1.72/2.09  
% 1.72/2.09  *** allocated 576640 integers for clauses
% 1.72/2.09  
% 1.72/2.09  Intermediate Status:
% 1.72/2.09  Generated:    61709
% 1.72/2.09  Kept:         10124
% 1.72/2.09  Inuse:        690
% 1.72/2.09  Deleted:      283
% 1.72/2.09  Deletedinuse: 192
% 1.72/2.09  
% 1.72/2.09  Resimplifying inuse:
% 1.72/2.09  Done
% 1.72/2.09  
% 1.72/2.09  Resimplifying inuse:
% 1.72/2.09  Done
% 1.72/2.09  
% 1.72/2.09  *** allocated 256285 integers for termspace/termends
% 1.72/2.09  
% 1.72/2.09  Bliksems!, er is een bewijs:
% 1.72/2.09  % SZS status Theorem
% 1.72/2.09  % SZS output start Refutation
% 1.72/2.09  
% 1.72/2.09  (0) {G0,W8,D3,L2,V3,M2} I { ! member( Z, difference( X, Y ) ), member( Z, X
% 1.72/2.09     ) }.
% 1.72/2.09  (1) {G0,W8,D3,L2,V3,M2} I { ! member( Z, difference( X, Y ) ), ! member( Z
% 1.72/2.09    , Y ) }.
% 1.72/2.09  (2) {G0,W11,D3,L3,V3,M3} I { ! member( Z, X ), member( Z, Y ), member( Z, 
% 1.72/2.09    difference( X, Y ) ) }.
% 1.72/2.09  (3) {G0,W6,D2,L2,V2,M2} I { ! X = Y, subset( X, Y ) }.
% 1.72/2.09  (4) {G0,W9,D2,L3,V2,M3} I { ! subset( X, Y ), ! subset( Y, X ), X = Y }.
% 1.72/2.09  (5) {G0,W9,D2,L3,V3,M3} I { ! subset( X, Y ), ! member( Z, X ), member( Z, 
% 1.72/2.09    Y ) }.
% 1.72/2.09  (6) {G0,W8,D3,L2,V3,M2} I { ! member( skol1( Z, Y ), Y ), subset( X, Y )
% 1.72/2.09     }.
% 1.72/2.09  (7) {G0,W8,D3,L2,V2,M2} I { member( skol1( X, Y ), X ), subset( X, Y ) }.
% 1.72/2.09  (9) {G0,W6,D2,L2,V1,M2} I { ! member( X, skol2 ), member( X, skol3 ) }.
% 1.72/2.09  (10) {G0,W6,D2,L2,V1,M2} I { ! member( X, skol2 ), ! member( X, skol4 ) }.
% 1.72/2.09  (11) {G0,W9,D2,L3,V1,M3} I { ! member( X, skol3 ), member( X, skol4 ), 
% 1.72/2.09    member( X, skol2 ) }.
% 1.72/2.09  (12) {G0,W5,D3,L1,V0,M1} I { ! difference( skol3, skol4 ) ==> skol2 }.
% 1.72/2.09  (17) {G1,W10,D3,L2,V4,M2} R(6,0) { subset( X, Y ), ! member( skol1( Z, Y )
% 1.72/2.09    , difference( Y, T ) ) }.
% 1.72/2.09  (18) {G1,W8,D3,L2,V2,M2} R(6,9) { subset( X, skol3 ), ! member( skol1( Y, 
% 1.72/2.09    skol3 ), skol2 ) }.
% 1.72/2.09  (33) {G1,W19,D4,L3,V4,M3} R(2,6) { ! member( skol1( X, difference( Y, Z ) )
% 1.72/2.09    , Y ), member( skol1( X, difference( Y, Z ) ), Z ), subset( T, difference
% 1.72/2.09    ( Y, Z ) ) }.
% 1.72/2.09  (36) {G1,W11,D3,L3,V2,M3} R(2,9) { member( X, Y ), member( X, difference( 
% 1.72/2.09    skol3, Y ) ), ! member( X, skol2 ) }.
% 1.72/2.09  (58) {G2,W10,D3,L2,V3,M2} R(18,0) { subset( X, skol3 ), ! member( skol1( Y
% 1.72/2.09    , skol3 ), difference( skol2, Z ) ) }.
% 1.72/2.09  (60) {G1,W11,D3,L3,V3,M3} R(4,6) { ! subset( X, Y ), Y = X, ! member( skol1
% 1.72/2.09    ( Z, X ), X ) }.
% 1.72/2.09  (61) {G1,W6,D2,L2,V2,M2} R(4,3);r(3) { X = Y, ! Y = X }.
% 1.72/2.09  (82) {G1,W13,D3,L3,V1,M3} P(4,12) { ! X = skol2, ! subset( difference( 
% 1.72/2.09    skol3, skol4 ), X ), ! subset( X, difference( skol3, skol4 ) ) }.
% 1.72/2.09  (85) {G2,W10,D3,L2,V0,M2} Q(82) { ! subset( difference( skol3, skol4 ), 
% 1.72/2.09    skol2 ), ! subset( skol2, difference( skol3, skol4 ) ) }.
% 1.72/2.09  (206) {G1,W11,D3,L3,V3,M3} R(7,5) { subset( X, Y ), ! subset( X, Z ), 
% 1.72/2.09    member( skol1( X, Y ), Z ) }.
% 1.72/2.09  (212) {G2,W6,D2,L2,V1,M2} R(7,18) { subset( skol2, skol3 ), subset( X, 
% 1.72/2.09    skol3 ) }.
% 1.72/2.09  (220) {G1,W12,D4,L2,V3,M2} R(7,1) { subset( difference( X, Y ), Z ), ! 
% 1.72/2.09    member( skol1( difference( X, Y ), Z ), Y ) }.
% 1.72/2.09  (228) {G3,W3,D2,L1,V0,M1} F(212) { subset( skol2, skol3 ) }.
% 1.72/2.09  (229) {G4,W6,D2,L2,V0,M2} R(228,4) { ! subset( skol3, skol2 ), skol3 ==> 
% 1.72/2.09    skol2 }.
% 1.72/2.09  (375) {G5,W8,D3,L2,V0,M2} P(229,12) { ! difference( skol2, skol4 ) ==> 
% 1.72/2.09    skol2, ! subset( skol3, skol2 ) }.
% 1.72/2.09  (480) {G2,W8,D3,L2,V3,M2} R(17,7) { subset( X, Y ), subset( difference( Y, 
% 1.72/2.09    Z ), Y ) }.
% 1.72/2.09  (489) {G3,W5,D3,L1,V2,M1} F(480) { subset( difference( X, Y ), X ) }.
% 1.72/2.09  (1358) {G2,W8,D3,L2,V1,M2} R(36,10);f { member( X, difference( skol3, skol4
% 1.72/2.09     ) ), ! member( X, skol2 ) }.
% 1.72/2.09  (2614) {G3,W8,D3,L2,V2,M2} R(58,7) { subset( X, skol3 ), subset( difference
% 1.72/2.09    ( skol2, Y ), skol3 ) }.
% 1.72/2.09  (2622) {G4,W5,D3,L1,V1,M1} F(2614) { subset( difference( skol2, X ), skol3
% 1.72/2.09     ) }.
% 1.72/2.09  (2626) {G5,W8,D3,L2,V2,M2} P(61,2622) { subset( difference( skol2, Y ), X )
% 1.72/2.09    , ! X = skol3 }.
% 1.72/2.09  (2672) {G6,W11,D3,L3,V2,M3} P(229,2626) { subset( difference( skol2, X ), Y
% 1.72/2.09     ), ! Y = skol2, ! subset( skol3, skol2 ) }.
% 1.72/2.09  (2822) {G7,W11,D3,L3,V1,M3} P(4,375);r(2672) { ! X = skol2, ! subset( skol3
% 1.72/2.09    , skol2 ), ! subset( X, difference( skol2, skol4 ) ) }.
% 1.72/2.09  (2826) {G8,W8,D3,L2,V0,M2} Q(2822) { ! subset( skol3, skol2 ), ! subset( 
% 1.72/2.09    skol2, difference( skol2, skol4 ) ) }.
% 1.72/2.09  (2831) {G9,W10,D4,L2,V1,M2} R(2826,33);r(10) { ! subset( skol3, skol2 ), ! 
% 1.72/2.09    member( skol1( X, difference( skol2, skol4 ) ), skol2 ) }.
% 1.72/2.09  (2851) {G10,W3,D2,L1,V0,M1} R(2826,7);r(2831) { ! subset( skol3, skol2 )
% 1.72/2.09     }.
% 1.72/2.09  (2877) {G11,W5,D3,L1,V1,M1} R(2851,6) { ! member( skol1( X, skol2 ), skol2
% 1.72/2.09     ) }.
% 1.72/2.09  (2960) {G12,W13,D3,L3,V3,M3} P(60,2877) { ! member( skol1( Y, X ), X ), ! 
% 1.72/2.09    subset( X, skol2 ), ! member( skol1( Z, X ), X ) }.
% 1.72/2.09  (2965) {G13,W8,D3,L2,V2,M2} F(2960) { ! member( skol1( X, Y ), Y ), ! 
% 1.72/2.09    subset( Y, skol2 ) }.
% 1.72/2.09  (3883) {G14,W12,D4,L2,V1,M2} R(2965,1358) { ! subset( difference( skol3, 
% 1.72/2.09    skol4 ), skol2 ), ! member( skol1( X, difference( skol3, skol4 ) ), skol2
% 1.72/2.09     ) }.
% 1.72/2.09  (3944) {G15,W5,D3,L1,V0,M1} R(85,7);r(3883) { ! subset( difference( skol3, 
% 1.72/2.09    skol4 ), skol2 ) }.
% 1.72/2.09  (11774) {G16,W7,D4,L1,V0,M1} R(220,3944) { ! member( skol1( difference( 
% 1.72/2.09    skol3, skol4 ), skol2 ), skol4 ) }.
% 1.72/2.09  (11797) {G17,W7,D4,L1,V0,M1} R(11774,11);r(2877) { ! member( skol1( 
% 1.72/2.09    difference( skol3, skol4 ), skol2 ), skol3 ) }.
% 1.72/2.09  (11808) {G18,W5,D3,L1,V0,M1} R(11797,206);r(3944) { ! subset( difference( 
% 1.72/2.09    skol3, skol4 ), skol3 ) }.
% 1.72/2.09  (11832) {G19,W0,D0,L0,V0,M0} S(11808);r(489) {  }.
% 1.72/2.09  
% 1.72/2.09  
% 1.72/2.09  % SZS output end Refutation
% 1.72/2.09  found a proof!
% 1.72/2.09  
% 1.72/2.09  
% 1.72/2.09  Unprocessed initial clauses:
% 1.72/2.09  
% 1.72/2.09  (11834) {G0,W8,D3,L2,V3,M2}  { ! member( Z, difference( X, Y ) ), member( Z
% 1.72/2.09    , X ) }.
% 1.72/2.09  (11835) {G0,W8,D3,L2,V3,M2}  { ! member( Z, difference( X, Y ) ), ! member
% 1.72/2.09    ( Z, Y ) }.
% 1.72/2.09  (11836) {G0,W11,D3,L3,V3,M3}  { ! member( Z, X ), member( Z, Y ), member( Z
% 1.72/2.09    , difference( X, Y ) ) }.
% 1.72/2.09  (11837) {G0,W6,D2,L2,V2,M2}  { ! X = Y, subset( X, Y ) }.
% 1.72/2.09  (11838) {G0,W6,D2,L2,V2,M2}  { ! X = Y, subset( Y, X ) }.
% 1.72/2.09  (11839) {G0,W9,D2,L3,V2,M3}  { ! subset( X, Y ), ! subset( Y, X ), X = Y
% 1.72/2.09     }.
% 1.72/2.09  (11840) {G0,W9,D2,L3,V3,M3}  { ! subset( X, Y ), ! member( Z, X ), member( 
% 1.72/2.09    Z, Y ) }.
% 1.72/2.09  (11841) {G0,W8,D3,L2,V3,M2}  { ! member( skol1( Z, Y ), Y ), subset( X, Y )
% 1.72/2.09     }.
% 1.72/2.09  (11842) {G0,W8,D3,L2,V2,M2}  { member( skol1( X, Y ), X ), subset( X, Y )
% 1.72/2.09     }.
% 1.72/2.09  (11843) {G0,W3,D2,L1,V1,M1}  { subset( X, X ) }.
% 1.72/2.09  (11844) {G0,W6,D2,L2,V1,M2}  { ! member( X, skol2 ), member( X, skol3 ) }.
% 1.72/2.09  (11845) {G0,W6,D2,L2,V1,M2}  { ! member( X, skol2 ), ! member( X, skol4 )
% 1.72/2.09     }.
% 1.72/2.09  (11846) {G0,W9,D2,L3,V1,M3}  { ! member( X, skol3 ), member( X, skol4 ), 
% 1.72/2.09    member( X, skol2 ) }.
% 1.72/2.09  (11847) {G0,W5,D3,L1,V0,M1}  { ! skol2 = difference( skol3, skol4 ) }.
% 1.72/2.09  
% 1.72/2.09  
% 1.72/2.09  Total Proof:
% 1.72/2.09  
% 1.72/2.09  subsumption: (0) {G0,W8,D3,L2,V3,M2} I { ! member( Z, difference( X, Y ) )
% 1.72/2.09    , member( Z, X ) }.
% 1.72/2.09  parent0: (11834) {G0,W8,D3,L2,V3,M2}  { ! member( Z, difference( X, Y ) ), 
% 1.72/2.09    member( Z, X ) }.
% 1.72/2.09  substitution0:
% 1.72/2.09     X := X
% 1.72/2.09     Y := Y
% 1.72/2.09     Z := Z
% 1.72/2.09  end
% 1.72/2.09  permutation0:
% 1.72/2.09     0 ==> 0
% 1.72/2.09     1 ==> 1
% 1.72/2.09  end
% 1.72/2.09  
% 1.72/2.09  subsumption: (1) {G0,W8,D3,L2,V3,M2} I { ! member( Z, difference( X, Y ) )
% 1.72/2.09    , ! member( Z, Y ) }.
% 1.72/2.09  parent0: (11835) {G0,W8,D3,L2,V3,M2}  { ! member( Z, difference( X, Y ) ), 
% 1.72/2.09    ! member( Z, Y ) }.
% 1.72/2.09  substitution0:
% 1.72/2.09     X := X
% 1.72/2.09     Y := Y
% 1.72/2.09     Z := Z
% 1.72/2.09  end
% 1.72/2.09  permutation0:
% 1.72/2.09     0 ==> 0
% 1.72/2.09     1 ==> 1
% 1.72/2.09  end
% 1.72/2.09  
% 1.72/2.09  subsumption: (2) {G0,W11,D3,L3,V3,M3} I { ! member( Z, X ), member( Z, Y )
% 1.72/2.09    , member( Z, difference( X, Y ) ) }.
% 1.72/2.09  parent0: (11836) {G0,W11,D3,L3,V3,M3}  { ! member( Z, X ), member( Z, Y ), 
% 1.72/2.09    member( Z, difference( X, Y ) ) }.
% 1.72/2.09  substitution0:
% 1.72/2.09     X := X
% 1.72/2.09     Y := Y
% 1.72/2.09     Z := Z
% 1.72/2.09  end
% 1.72/2.09  permutation0:
% 1.72/2.09     0 ==> 0
% 1.72/2.09     1 ==> 1
% 1.72/2.09     2 ==> 2
% 1.72/2.09  end
% 1.72/2.09  
% 1.72/2.09  subsumption: (3) {G0,W6,D2,L2,V2,M2} I { ! X = Y, subset( X, Y ) }.
% 1.72/2.09  parent0: (11837) {G0,W6,D2,L2,V2,M2}  { ! X = Y, subset( X, Y ) }.
% 1.72/2.09  substitution0:
% 1.72/2.09     X := X
% 1.72/2.09     Y := Y
% 1.72/2.09  end
% 1.72/2.09  permutation0:
% 1.72/2.09     0 ==> 0
% 1.72/2.09     1 ==> 1
% 1.72/2.09  end
% 1.72/2.09  
% 1.72/2.09  subsumption: (4) {G0,W9,D2,L3,V2,M3} I { ! subset( X, Y ), ! subset( Y, X )
% 1.72/2.09    , X = Y }.
% 1.72/2.09  parent0: (11839) {G0,W9,D2,L3,V2,M3}  { ! subset( X, Y ), ! subset( Y, X )
% 1.72/2.09    , X = Y }.
% 1.72/2.09  substitution0:
% 1.72/2.09     X := X
% 1.72/2.09     Y := Y
% 1.72/2.09  end
% 1.72/2.09  permutation0:
% 1.72/2.09     0 ==> 0
% 1.72/2.09     1 ==> 1
% 1.72/2.09     2 ==> 2
% 1.72/2.09  end
% 1.72/2.09  
% 1.72/2.09  subsumption: (5) {G0,W9,D2,L3,V3,M3} I { ! subset( X, Y ), ! member( Z, X )
% 1.72/2.09    , member( Z, Y ) }.
% 1.72/2.09  parent0: (11840) {G0,W9,D2,L3,V3,M3}  { ! subset( X, Y ), ! member( Z, X )
% 1.72/2.09    , member( Z, Y ) }.
% 1.72/2.09  substitution0:
% 1.72/2.09     X := X
% 1.72/2.09     Y := Y
% 1.72/2.09     Z := Z
% 1.72/2.09  end
% 1.72/2.09  permutation0:
% 1.72/2.09     0 ==> 0
% 1.72/2.09     1 ==> 1
% 1.72/2.09     2 ==> 2
% 1.72/2.09  end
% 1.72/2.09  
% 1.72/2.09  subsumption: (6) {G0,W8,D3,L2,V3,M2} I { ! member( skol1( Z, Y ), Y ), 
% 1.72/2.09    subset( X, Y ) }.
% 1.72/2.09  parent0: (11841) {G0,W8,D3,L2,V3,M2}  { ! member( skol1( Z, Y ), Y ), 
% 1.72/2.09    subset( X, Y ) }.
% 1.72/2.09  substitution0:
% 1.72/2.09     X := X
% 1.72/2.09     Y := Y
% 1.72/2.09     Z := Z
% 1.72/2.09  end
% 1.72/2.09  permutation0:
% 1.72/2.09     0 ==> 0
% 1.72/2.09     1 ==> 1
% 1.72/2.09  end
% 1.72/2.09  
% 1.72/2.09  subsumption: (7) {G0,W8,D3,L2,V2,M2} I { member( skol1( X, Y ), X ), subset
% 1.72/2.09    ( X, Y ) }.
% 1.72/2.09  parent0: (11842) {G0,W8,D3,L2,V2,M2}  { member( skol1( X, Y ), X ), subset
% 1.72/2.09    ( X, Y ) }.
% 1.72/2.09  substitution0:
% 1.72/2.09     X := X
% 1.72/2.09     Y := Y
% 1.72/2.09  end
% 1.72/2.09  permutation0:
% 1.72/2.09     0 ==> 0
% 1.72/2.09     1 ==> 1
% 1.72/2.09  end
% 1.72/2.09  
% 1.72/2.09  subsumption: (9) {G0,W6,D2,L2,V1,M2} I { ! member( X, skol2 ), member( X, 
% 1.72/2.09    skol3 ) }.
% 1.72/2.09  parent0: (11844) {G0,W6,D2,L2,V1,M2}  { ! member( X, skol2 ), member( X, 
% 1.72/2.09    skol3 ) }.
% 1.72/2.09  substitution0:
% 1.72/2.09     X := X
% 1.72/2.09  end
% 1.72/2.09  permutation0:
% 1.72/2.09     0 ==> 0
% 1.72/2.09     1 ==> 1
% 1.72/2.09  end
% 1.72/2.09  
% 1.72/2.09  subsumption: (10) {G0,W6,D2,L2,V1,M2} I { ! member( X, skol2 ), ! member( X
% 1.72/2.09    , skol4 ) }.
% 1.72/2.09  parent0: (11845) {G0,W6,D2,L2,V1,M2}  { ! member( X, skol2 ), ! member( X, 
% 1.72/2.09    skol4 ) }.
% 1.72/2.09  substitution0:
% 1.72/2.09     X := X
% 1.72/2.09  end
% 1.72/2.09  permutation0:
% 1.72/2.09     0 ==> 0
% 1.72/2.09     1 ==> 1
% 1.72/2.09  end
% 1.72/2.09  
% 1.72/2.09  subsumption: (11) {G0,W9,D2,L3,V1,M3} I { ! member( X, skol3 ), member( X, 
% 1.72/2.09    skol4 ), member( X, skol2 ) }.
% 1.72/2.09  parent0: (11846) {G0,W9,D2,L3,V1,M3}  { ! member( X, skol3 ), member( X, 
% 1.72/2.09    skol4 ), member( X, skol2 ) }.
% 1.72/2.09  substitution0:
% 1.72/2.09     X := X
% 1.72/2.09  end
% 1.72/2.09  permutation0:
% 1.72/2.09     0 ==> 0
% 1.72/2.09     1 ==> 1
% 1.72/2.09     2 ==> 2
% 1.72/2.09  end
% 1.72/2.09  
% 1.72/2.09  eqswap: (11873) {G0,W5,D3,L1,V0,M1}  { ! difference( skol3, skol4 ) = skol2
% 1.72/2.09     }.
% 1.72/2.09  parent0[0]: (11847) {G0,W5,D3,L1,V0,M1}  { ! skol2 = difference( skol3, 
% 1.72/2.09    skol4 ) }.
% 1.72/2.09  substitution0:
% 1.72/2.09  end
% 1.72/2.09  
% 1.72/2.09  subsumption: (12) {G0,W5,D3,L1,V0,M1} I { ! difference( skol3, skol4 ) ==> 
% 1.72/2.09    skol2 }.
% 1.72/2.09  parent0: (11873) {G0,W5,D3,L1,V0,M1}  { ! difference( skol3, skol4 ) = 
% 1.72/2.09    skol2 }.
% 1.72/2.09  substitution0:
% 1.72/2.09  end
% 1.72/2.09  permutation0:
% 1.72/2.09     0 ==> 0
% 1.72/2.09  end
% 1.72/2.09  
% 1.72/2.09  resolution: (11874) {G1,W10,D3,L2,V4,M2}  { subset( Z, Y ), ! member( skol1
% 1.72/2.09    ( X, Y ), difference( Y, T ) ) }.
% 1.72/2.09  parent0[0]: (6) {G0,W8,D3,L2,V3,M2} I { ! member( skol1( Z, Y ), Y ), 
% 1.72/2.09    subset( X, Y ) }.
% 1.72/2.09  parent1[1]: (0) {G0,W8,D3,L2,V3,M2} I { ! member( Z, difference( X, Y ) ), 
% 1.72/2.09    member( Z, X ) }.
% 1.72/2.09  substitution0:
% 1.72/2.09     X := Z
% 1.72/2.09     Y := Y
% 1.72/2.09     Z := X
% 1.72/2.09  end
% 1.72/2.09  substitution1:
% 1.72/2.09     X := Y
% 1.72/2.09     Y := T
% 1.72/2.09     Z := skol1( X, Y )
% 1.72/2.09  end
% 1.72/2.09  
% 1.72/2.09  subsumption: (17) {G1,W10,D3,L2,V4,M2} R(6,0) { subset( X, Y ), ! member( 
% 1.72/2.09    skol1( Z, Y ), difference( Y, T ) ) }.
% 1.72/2.09  parent0: (11874) {G1,W10,D3,L2,V4,M2}  { subset( Z, Y ), ! member( skol1( X
% 1.72/2.09    , Y ), difference( Y, T ) ) }.
% 1.72/2.09  substitution0:
% 1.72/2.09     X := Z
% 1.72/2.09     Y := Y
% 1.72/2.09     Z := X
% 1.72/2.09     T := T
% 1.72/2.09  end
% 1.72/2.09  permutation0:
% 1.72/2.09     0 ==> 0
% 1.72/2.09     1 ==> 1
% 1.72/2.09  end
% 1.72/2.09  
% 1.72/2.09  resolution: (11875) {G1,W8,D3,L2,V2,M2}  { subset( Y, skol3 ), ! member( 
% 1.72/2.09    skol1( X, skol3 ), skol2 ) }.
% 1.72/2.09  parent0[0]: (6) {G0,W8,D3,L2,V3,M2} I { ! member( skol1( Z, Y ), Y ), 
% 1.72/2.09    subset( X, Y ) }.
% 1.72/2.09  parent1[1]: (9) {G0,W6,D2,L2,V1,M2} I { ! member( X, skol2 ), member( X, 
% 1.72/2.09    skol3 ) }.
% 1.72/2.09  substitution0:
% 1.72/2.09     X := Y
% 1.72/2.09     Y := skol3
% 1.72/2.09     Z := X
% 1.72/2.09  end
% 1.72/2.09  substitution1:
% 1.72/2.09     X := skol1( X, skol3 )
% 1.72/2.09  end
% 1.72/2.09  
% 1.72/2.09  subsumption: (18) {G1,W8,D3,L2,V2,M2} R(6,9) { subset( X, skol3 ), ! member
% 1.72/2.09    ( skol1( Y, skol3 ), skol2 ) }.
% 1.72/2.09  parent0: (11875) {G1,W8,D3,L2,V2,M2}  { subset( Y, skol3 ), ! member( skol1
% 1.72/2.09    ( X, skol3 ), skol2 ) }.
% 1.72/2.09  substitution0:
% 1.72/2.09     X := Y
% 1.72/2.09     Y := X
% 1.72/2.09  end
% 1.72/2.09  permutation0:
% 1.72/2.09     0 ==> 0
% 1.72/2.09     1 ==> 1
% 1.72/2.09  end
% 1.72/2.09  
% 1.72/2.09  resolution: (11877) {G1,W19,D4,L3,V4,M3}  { subset( T, difference( Y, Z ) )
% 1.72/2.09    , ! member( skol1( X, difference( Y, Z ) ), Y ), member( skol1( X, 
% 1.72/2.09    difference( Y, Z ) ), Z ) }.
% 1.72/2.09  parent0[0]: (6) {G0,W8,D3,L2,V3,M2} I { ! member( skol1( Z, Y ), Y ), 
% 1.72/2.09    subset( X, Y ) }.
% 1.72/2.09  parent1[2]: (2) {G0,W11,D3,L3,V3,M3} I { ! member( Z, X ), member( Z, Y ), 
% 1.72/2.09    member( Z, difference( X, Y ) ) }.
% 1.72/2.09  substitution0:
% 1.72/2.09     X := T
% 1.72/2.09     Y := difference( Y, Z )
% 1.72/2.09     Z := X
% 1.72/2.09  end
% 1.72/2.09  substitution1:
% 1.72/2.09     X := Y
% 1.72/2.09     Y := Z
% 1.72/2.09     Z := skol1( X, difference( Y, Z ) )
% 1.72/2.09  end
% 1.72/2.09  
% 1.72/2.09  subsumption: (33) {G1,W19,D4,L3,V4,M3} R(2,6) { ! member( skol1( X, 
% 1.72/2.09    difference( Y, Z ) ), Y ), member( skol1( X, difference( Y, Z ) ), Z ), 
% 1.72/2.09    subset( T, difference( Y, Z ) ) }.
% 1.72/2.09  parent0: (11877) {G1,W19,D4,L3,V4,M3}  { subset( T, difference( Y, Z ) ), !
% 1.72/2.09     member( skol1( X, difference( Y, Z ) ), Y ), member( skol1( X, 
% 1.72/2.09    difference( Y, Z ) ), Z ) }.
% 1.72/2.09  substitution0:
% 1.72/2.09     X := X
% 1.72/2.09     Y := Y
% 1.72/2.09     Z := Z
% 1.72/2.09     T := T
% 1.72/2.09  end
% 1.72/2.09  permutation0:
% 1.72/2.09     0 ==> 2
% 1.72/2.09     1 ==> 0
% 1.72/2.09     2 ==> 1
% 1.72/2.09  end
% 1.72/2.09  
% 1.72/2.09  resolution: (11878) {G1,W11,D3,L3,V2,M3}  { member( X, Y ), member( X, 
% 1.72/2.09    difference( skol3, Y ) ), ! member( X, skol2 ) }.
% 1.72/2.09  parent0[0]: (2) {G0,W11,D3,L3,V3,M3} I { ! member( Z, X ), member( Z, Y ), 
% 1.72/2.09    member( Z, difference( X, Y ) ) }.
% 1.72/2.09  parent1[1]: (9) {G0,W6,D2,L2,V1,M2} I { ! member( X, skol2 ), member( X, 
% 1.72/2.09    skol3 ) }.
% 1.72/2.09  substitution0:
% 1.72/2.09     X := skol3
% 1.72/2.09     Y := Y
% 1.72/2.09     Z := X
% 1.72/2.09  end
% 1.72/2.09  substitution1:
% 235.72/236.09     X := X
% 235.72/236.09  end
% 235.72/236.09  
% 235.72/236.09  subsumption: (36) {G1,W11,D3,L3,V2,M3} R(2,9) { member( X, Y ), member( X, 
% 235.72/236.09    difference( skol3, Y ) ), ! member( X, skol2 ) }.
% 235.72/236.09  parent0: (11878) {G1,W11,D3,L3,V2,M3}  { member( X, Y ), member( X, 
% 235.72/236.09    difference( skol3, Y ) ), ! member( X, skol2 ) }.
% 235.72/236.09  substitution0:
% 235.72/236.09     X := X
% 235.72/236.09     Y := Y
% 235.72/236.09  end
% 235.72/236.09  permutation0:
% 235.72/236.09     0 ==> 0
% 235.72/236.09     1 ==> 1
% 235.72/236.09     2 ==> 2
% 235.72/236.09  end
% 235.72/236.09  
% 235.72/236.09  resolution: (11879) {G1,W10,D3,L2,V3,M2}  { subset( X, skol3 ), ! member( 
% 235.72/236.09    skol1( Y, skol3 ), difference( skol2, Z ) ) }.
% 235.72/236.09  parent0[1]: (18) {G1,W8,D3,L2,V2,M2} R(6,9) { subset( X, skol3 ), ! member
% 235.72/236.09    ( skol1( Y, skol3 ), skol2 ) }.
% 235.72/236.09  parent1[1]: (0) {G0,W8,D3,L2,V3,M2} I { ! member( Z, difference( X, Y ) ), 
% 235.72/236.09    member( Z, X ) }.
% 235.72/236.09  substitution0:
% 235.72/236.09     X := X
% 235.72/236.09     Y := Y
% 235.72/236.09  end
% 235.72/236.09  substitution1:
% 235.72/236.09     X := skol2
% 235.72/236.09     Y := Z
% 235.72/236.09     Z := skol1( Y, skol3 )
% 235.72/236.09  end
% 235.72/236.09  
% 235.72/236.09  subsumption: (58) {G2,W10,D3,L2,V3,M2} R(18,0) { subset( X, skol3 ), ! 
% 235.72/236.09    member( skol1( Y, skol3 ), difference( skol2, Z ) ) }.
% 235.72/236.09  parent0: (11879) {G1,W10,D3,L2,V3,M2}  { subset( X, skol3 ), ! member( 
% 235.72/236.09    skol1( Y, skol3 ), difference( skol2, Z ) ) }.
% 235.72/236.09  substitution0:
% 235.72/236.09     X := X
% 235.72/236.09     Y := Y
% 235.72/236.09     Z := Z
% 235.72/236.09  end
% 235.72/236.09  permutation0:
% 235.72/236.09     0 ==> 0
% 235.72/236.09     1 ==> 1
% 235.72/236.09  end
% 235.72/236.09  
% 235.72/236.09  resolution: (11880) {G1,W11,D3,L3,V3,M3}  { ! subset( Y, X ), X = Y, ! 
% 235.72/236.09    member( skol1( Z, Y ), Y ) }.
% 235.72/236.09  parent0[0]: (4) {G0,W9,D2,L3,V2,M3} I { ! subset( X, Y ), ! subset( Y, X )
% 235.72/236.09    , X = Y }.
% 235.72/236.09  parent1[1]: (6) {G0,W8,D3,L2,V3,M2} I { ! member( skol1( Z, Y ), Y ), 
% 235.72/236.09    subset( X, Y ) }.
% 235.72/236.09  substitution0:
% 235.72/236.09     X := X
% 235.72/236.09     Y := Y
% 235.72/236.09  end
% 235.72/236.09  substitution1:
% 235.72/236.09     X := X
% 235.72/236.09     Y := Y
% 235.72/236.09     Z := Z
% 235.72/236.09  end
% 235.72/236.09  
% 235.72/236.09  subsumption: (60) {G1,W11,D3,L3,V3,M3} R(4,6) { ! subset( X, Y ), Y = X, ! 
% 235.72/236.09    member( skol1( Z, X ), X ) }.
% 235.72/236.09  parent0: (11880) {G1,W11,D3,L3,V3,M3}  { ! subset( Y, X ), X = Y, ! member
% 235.72/236.09    ( skol1( Z, Y ), Y ) }.
% 235.72/236.09  substitution0:
% 235.72/236.09     X := Y
% 235.72/236.09     Y := X
% 235.72/236.09     Z := Z
% 235.72/236.09  end
% 235.72/236.09  permutation0:
% 235.72/236.09     0 ==> 0
% 235.72/236.09     1 ==> 1
% 235.72/236.09     2 ==> 2
% 235.72/236.09  end
% 235.72/236.09  
% 235.72/236.09  eqswap: (11882) {G0,W6,D2,L2,V2,M2}  { ! Y = X, subset( X, Y ) }.
% 235.72/236.09  parent0[0]: (3) {G0,W6,D2,L2,V2,M2} I { ! X = Y, subset( X, Y ) }.
% 235.72/236.09  substitution0:
% 235.72/236.09     X := X
% 235.72/236.09     Y := Y
% 235.72/236.09  end
% 235.72/236.09  
% 235.72/236.09  eqswap: (11883) {G0,W6,D2,L2,V2,M2}  { ! Y = X, subset( X, Y ) }.
% 235.72/236.09  parent0[0]: (3) {G0,W6,D2,L2,V2,M2} I { ! X = Y, subset( X, Y ) }.
% 235.72/236.09  substitution0:
% 235.72/236.09     X := X
% 235.72/236.09     Y := Y
% 235.72/236.09  end
% 235.72/236.09  
% 235.72/236.09  resolution: (11884) {G1,W9,D2,L3,V2,M3}  { ! subset( Y, X ), X = Y, ! Y = X
% 235.72/236.09     }.
% 235.72/236.09  parent0[0]: (4) {G0,W9,D2,L3,V2,M3} I { ! subset( X, Y ), ! subset( Y, X )
% 235.72/236.09    , X = Y }.
% 235.72/236.09  parent1[1]: (11882) {G0,W6,D2,L2,V2,M2}  { ! Y = X, subset( X, Y ) }.
% 235.72/236.09  substitution0:
% 235.72/236.09     X := X
% 235.72/236.09     Y := Y
% 235.72/236.09  end
% 235.72/236.09  substitution1:
% 235.72/236.09     X := X
% 235.72/236.09     Y := Y
% 235.72/236.09  end
% 235.72/236.09  
% 235.72/236.09  resolution: (11886) {G1,W9,D2,L3,V2,M3}  { Y = X, ! X = Y, ! Y = X }.
% 235.72/236.09  parent0[0]: (11884) {G1,W9,D2,L3,V2,M3}  { ! subset( Y, X ), X = Y, ! Y = X
% 235.72/236.09     }.
% 235.72/236.09  parent1[1]: (11883) {G0,W6,D2,L2,V2,M2}  { ! Y = X, subset( X, Y ) }.
% 235.72/236.09  substitution0:
% 235.72/236.09     X := Y
% 235.72/236.09     Y := X
% 235.72/236.09  end
% 235.72/236.09  substitution1:
% 235.72/236.09     X := X
% 235.72/236.09     Y := Y
% 235.72/236.09  end
% 235.72/236.09  
% 235.72/236.09  eqswap: (11888) {G1,W9,D2,L3,V2,M3}  { ! Y = X, X = Y, ! Y = X }.
% 235.72/236.09  parent0[2]: (11886) {G1,W9,D2,L3,V2,M3}  { Y = X, ! X = Y, ! Y = X }.
% 235.72/236.09  substitution0:
% 235.72/236.09     X := Y
% 235.72/236.09     Y := X
% 235.72/236.09  end
% 235.72/236.09  
% 235.72/236.09  factor: (11890) {G1,W6,D2,L2,V2,M2}  { ! X = Y, Y = X }.
% 235.72/236.09  parent0[0, 2]: (11888) {G1,W9,D2,L3,V2,M3}  { ! Y = X, X = Y, ! Y = X }.
% 235.72/236.09  substitution0:
% 235.72/236.09     X := Y
% 235.72/236.09     Y := X
% 235.72/236.09  end
% 235.72/236.09  
% 235.72/236.09  subsumption: (61) {G1,W6,D2,L2,V2,M2} R(4,3);r(3) { X = Y, ! Y = X }.
% 235.72/236.09  parent0: (11890) {G1,W6,D2,L2,V2,M2}  { ! X = Y, Y = X }.
% 235.72/236.09  substitution0:
% 235.72/236.09     X := Y
% 235.72/236.09     Y := X
% 235.72/236.09  end
% 235.72/236.09  permutation0:
% 235.72/236.09     0 ==> 1
% 235.72/236.09     1 ==> 0
% 235.72/236.09  end
% 235.72/236.09  
% 235.72/236.09  *** allocated 15000 integers for justifications
% 235.72/236.09  *** allocated 22500 integers for justifications
% 235.72/236.09  *** allocated 33750 integers for justifications
% 235.72/236.09  *** allocated 50625 integers for justifications
% 235.72/236.09  *** allocated 384427 integers for termspace/termends
% 235.72/236.09  *** allocated 75937 integers for justifications
% 235.72/236.09  *** allocated 113905 integers for justifications
% 235.72/236.09  *** allocated 864960 integers for clauses
% 235.72/236.09  *** allocated 170857 integers for justifications
% 235.72/236.09  *** allocated 576640 integers for termspace/termends
% 235.72/236.09  *** allocated 256285 integers for justifications
% 235.72/236.09  *** allocated 864960 integers for termspace/termends
% 235.72/236.09  *** allocated 384427 integers for justifications
% 235.72/236.09  *** allocated 1297440 integers for clauses
% 235.72/236.09  *** allocated 1297440 integers for termspace/termends
% 235.72/236.09  *** allocatedCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------