TSTP Solution File: NUM457+1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : NUM457+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n029.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 06:22:27 EDT 2022

% Result   : Theorem 0.83s 1.28s
% Output   : Refutation 0.83s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14  % Problem  : NUM457+1 : TPTP v8.1.0. Released v4.0.0.
% 0.09/0.15  % Command  : bliksem %s
% 0.14/0.37  % Computer : n029.cluster.edu
% 0.14/0.37  % Model    : x86_64 x86_64
% 0.14/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37  % Memory   : 8042.1875MB
% 0.14/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit : 300
% 0.14/0.37  % DateTime : Wed Jul  6 05:34:28 EDT 2022
% 0.14/0.37  % CPUTime  : 
% 0.83/1.28  *** allocated 10000 integers for termspace/termends
% 0.83/1.28  *** allocated 10000 integers for clauses
% 0.83/1.28  *** allocated 10000 integers for justifications
% 0.83/1.28  Bliksem 1.12
% 0.83/1.28  
% 0.83/1.28  
% 0.83/1.28  Automatic Strategy Selection
% 0.83/1.28  
% 0.83/1.28  
% 0.83/1.28  Clauses:
% 0.83/1.28  
% 0.83/1.28  { && }.
% 0.83/1.28  { aNaturalNumber0( sz00 ) }.
% 0.83/1.28  { aNaturalNumber0( sz10 ) }.
% 0.83/1.28  { ! sz10 = sz00 }.
% 0.83/1.28  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0
% 0.83/1.28    ( X, Y ) ) }.
% 0.83/1.28  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0
% 0.83/1.28    ( X, Y ) ) }.
% 0.83/1.28  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtpldt0( X, Y ) = 
% 0.83/1.28    sdtpldt0( Y, X ) }.
% 0.83/1.28  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), 
% 0.83/1.28    sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ) }.
% 0.83/1.28  { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) = X }.
% 0.83/1.28  { ! aNaturalNumber0( X ), X = sdtpldt0( sz00, X ) }.
% 0.83/1.28  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtasdt0( X, Y ) = 
% 0.83/1.28    sdtasdt0( Y, X ) }.
% 0.83/1.28  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), 
% 0.83/1.28    sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ) }.
% 0.83/1.28  { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 ) = X }.
% 0.83/1.28  { ! aNaturalNumber0( X ), X = sdtasdt0( sz10, X ) }.
% 0.83/1.28  { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 ) = sz00 }.
% 0.83/1.28  { ! aNaturalNumber0( X ), sz00 = sdtasdt0( sz00, X ) }.
% 0.83/1.28  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), 
% 0.83/1.28    sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X
% 0.83/1.28    , Z ) ) }.
% 0.83/1.28  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), 
% 0.83/1.28    sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0( sdtasdt0( Y, X ), sdtasdt0( Z
% 0.83/1.28    , X ) ) }.
% 0.83/1.28  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.83/1.28     sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z }.
% 0.83/1.28  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.83/1.28     sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z }.
% 0.83/1.28  { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), ! 
% 0.83/1.28    aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ), Y = Z }.
% 0.83/1.28  { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), ! 
% 0.83/1.28    aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ), Y = Z }.
% 0.83/1.28  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.83/1.28    , X = sz00 }.
% 0.83/1.28  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.83/1.28    , Y = sz00 }.
% 0.83/1.28  { aNaturalNumber0( xm ) }.
% 0.83/1.28  { aNaturalNumber0( xn ) }.
% 0.83/1.28  { sdtasdt0( xm, xn ) = sz00 }.
% 0.83/1.28  { ! xm = sz00 }.
% 0.83/1.28  { ! xn = sz00 }.
% 0.83/1.28  
% 0.83/1.28  percentage equality = 0.379747, percentage horn = 0.931034
% 0.83/1.28  This is a problem with some equality
% 0.83/1.28  
% 0.83/1.28  
% 0.83/1.28  
% 0.83/1.28  Options Used:
% 0.83/1.28  
% 0.83/1.28  useres =            1
% 0.83/1.28  useparamod =        1
% 0.83/1.28  useeqrefl =         1
% 0.83/1.28  useeqfact =         1
% 0.83/1.28  usefactor =         1
% 0.83/1.28  usesimpsplitting =  0
% 0.83/1.28  usesimpdemod =      5
% 0.83/1.28  usesimpres =        3
% 0.83/1.28  
% 0.83/1.28  resimpinuse      =  1000
% 0.83/1.28  resimpclauses =     20000
% 0.83/1.28  substype =          eqrewr
% 0.83/1.28  backwardsubs =      1
% 0.83/1.28  selectoldest =      5
% 0.83/1.28  
% 0.83/1.28  litorderings [0] =  split
% 0.83/1.28  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.83/1.28  
% 0.83/1.28  termordering =      kbo
% 0.83/1.28  
% 0.83/1.28  litapriori =        0
% 0.83/1.28  termapriori =       1
% 0.83/1.28  litaposteriori =    0
% 0.83/1.28  termaposteriori =   0
% 0.83/1.28  demodaposteriori =  0
% 0.83/1.28  ordereqreflfact =   0
% 0.83/1.28  
% 0.83/1.28  litselect =         negord
% 0.83/1.28  
% 0.83/1.28  maxweight =         15
% 0.83/1.28  maxdepth =          30000
% 0.83/1.28  maxlength =         115
% 0.83/1.28  maxnrvars =         195
% 0.83/1.28  excuselevel =       1
% 0.83/1.28  increasemaxweight = 1
% 0.83/1.28  
% 0.83/1.28  maxselected =       10000000
% 0.83/1.28  maxnrclauses =      10000000
% 0.83/1.28  
% 0.83/1.28  showgenerated =    0
% 0.83/1.28  showkept =         0
% 0.83/1.28  showselected =     0
% 0.83/1.28  showdeleted =      0
% 0.83/1.28  showresimp =       1
% 0.83/1.28  showstatus =       2000
% 0.83/1.28  
% 0.83/1.28  prologoutput =     0
% 0.83/1.28  nrgoals =          5000000
% 0.83/1.28  totalproof =       1
% 0.83/1.28  
% 0.83/1.28  Symbols occurring in the translation:
% 0.83/1.28  
% 0.83/1.28  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.83/1.28  .  [1, 2]      (w:1, o:19, a:1, s:1, b:0), 
% 0.83/1.28  &&  [3, 0]      (w:1, o:4, a:1, s:1, b:0), 
% 0.83/1.28  !  [4, 1]      (w:0, o:13, a:1, s:1, b:0), 
% 0.83/1.28  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.83/1.28  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.83/1.28  aNaturalNumber0  [36, 1]      (w:1, o:18, a:1, s:1, b:0), 
% 0.83/1.28  sz00  [37, 0]      (w:1, o:7, a:1, s:1, b:0), 
% 0.83/1.28  sz10  [38, 0]      (w:1, o:8, a:1, s:1, b:0), 
% 0.83/1.28  sdtpldt0  [40, 2]      (w:1, o:43, a:1, s:1, b:0), 
% 0.83/1.28  sdtasdt0  [41, 2]      (w:1, o:44, a:1, s:1, b:0), 
% 0.83/1.28  xm  [43, 0]      (w:1, o:11, a:1, s:1, b:0), 
% 0.83/1.28  xn  [44, 0]      (w:1, o:12, a:1, s:1, b:0).
% 0.83/1.28  
% 0.83/1.28  
% 0.83/1.28  Starting Search:
% 0.83/1.28  
% 0.83/1.28  *** allocated 15000 integers for clauses
% 0.83/1.28  *** allocated 22500 integers for clauses
% 0.83/1.28  *** allocated 33750 integers for clauses
% 0.83/1.28  *** allocated 50625 integers for clauses
% 0.83/1.28  *** allocated 75937 integers for clauses
% 0.83/1.28  *** allocated 15000 integers for termspace/termends
% 0.83/1.28  Resimplifying inuse:
% 0.83/1.28  Done
% 0.83/1.28  
% 0.83/1.28  *** allocated 113905 integers for clauses
% 0.83/1.28  *** allocated 22500 integers for termspace/termends
% 0.83/1.28  
% 0.83/1.28  Bliksems!, er is een bewijs:
% 0.83/1.28  % SZS status Theorem
% 0.83/1.28  % SZS output start Refutation
% 0.83/1.28  
% 0.83/1.28  (1) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz00 ) }.
% 0.83/1.28  (14) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 ) 
% 0.83/1.28    ==> sz00 }.
% 0.83/1.28  (20) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), X = sz00, ! 
% 0.83/1.28    aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) = 
% 0.83/1.28    sdtasdt0( X, Z ), Y = Z }.
% 0.83/1.28  (24) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 0.83/1.28  (25) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 0.83/1.28  (26) {G0,W5,D3,L1,V0,M1} I { sdtasdt0( xm, xn ) ==> sz00 }.
% 0.83/1.28  (27) {G0,W3,D2,L1,V0,M1} I { ! xm ==> sz00 }.
% 0.83/1.28  (28) {G0,W3,D2,L1,V0,M1} I { ! xn ==> sz00 }.
% 0.83/1.28  (1557) {G1,W19,D3,L5,V2,M5} P(20,26);r(24) { sdtasdt0( X, xn ) ==> sz00, ! 
% 0.83/1.28    aNaturalNumber0( Y ), Y = sz00, ! aNaturalNumber0( X ), ! sdtasdt0( Y, xm
% 0.83/1.28     ) = sdtasdt0( Y, X ) }.
% 0.83/1.28  (1562) {G1,W17,D3,L5,V2,M5} P(20,28);r(25) { ! X = sz00, ! aNaturalNumber0
% 0.83/1.28    ( Y ), Y = sz00, ! aNaturalNumber0( X ), ! sdtasdt0( Y, xn ) = sdtasdt0( 
% 0.83/1.28    Y, X ) }.
% 0.83/1.28  (1565) {G2,W10,D3,L3,V1,M3} Q(1562);d(14);r(1) { ! aNaturalNumber0( X ), X 
% 0.83/1.28    = sz00, ! sdtasdt0( X, xn ) ==> sz00 }.
% 0.83/1.28  (1567) {G3,W12,D3,L3,V1,M3} F(1557);r(1565) { ! aNaturalNumber0( X ), X = 
% 0.83/1.28    sz00, ! sdtasdt0( X, xm ) = sdtasdt0( X, X ) }.
% 0.83/1.28  (1568) {G4,W3,D2,L1,V0,M1} Q(1567);r(24) { xm ==> sz00 }.
% 0.83/1.28  (1584) {G5,W0,D0,L0,V0,M0} S(1568);r(27) {  }.
% 0.83/1.28  
% 0.83/1.28  
% 0.83/1.28  % SZS output end Refutation
% 0.83/1.28  found a proof!
% 0.83/1.28  
% 0.83/1.28  
% 0.83/1.28  Unprocessed initial clauses:
% 0.83/1.28  
% 0.83/1.28  (1586) {G0,W1,D1,L1,V0,M1}  { && }.
% 0.83/1.28  (1587) {G0,W2,D2,L1,V0,M1}  { aNaturalNumber0( sz00 ) }.
% 0.83/1.28  (1588) {G0,W2,D2,L1,V0,M1}  { aNaturalNumber0( sz10 ) }.
% 0.83/1.28  (1589) {G0,W3,D2,L1,V0,M1}  { ! sz10 = sz00 }.
% 0.83/1.28  (1590) {G0,W8,D3,L3,V2,M3}  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.83/1.28     ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 0.83/1.28  (1591) {G0,W8,D3,L3,V2,M3}  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.83/1.28     ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 0.83/1.28  (1592) {G0,W11,D3,L3,V2,M3}  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.83/1.28     ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 0.83/1.28  (1593) {G0,W17,D4,L4,V3,M4}  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.83/1.28     ), ! aNaturalNumber0( Z ), sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X
% 0.83/1.28    , sdtpldt0( Y, Z ) ) }.
% 0.83/1.28  (1594) {G0,W7,D3,L2,V1,M2}  { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) =
% 0.83/1.28     X }.
% 0.83/1.28  (1595) {G0,W7,D3,L2,V1,M2}  { ! aNaturalNumber0( X ), X = sdtpldt0( sz00, X
% 0.83/1.28     ) }.
% 0.83/1.28  (1596) {G0,W11,D3,L3,V2,M3}  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.83/1.28     ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 0.83/1.28  (1597) {G0,W17,D4,L4,V3,M4}  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.83/1.28     ), ! aNaturalNumber0( Z ), sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X
% 0.83/1.28    , sdtasdt0( Y, Z ) ) }.
% 0.83/1.28  (1598) {G0,W7,D3,L2,V1,M2}  { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 ) =
% 0.83/1.28     X }.
% 0.83/1.28  (1599) {G0,W7,D3,L2,V1,M2}  { ! aNaturalNumber0( X ), X = sdtasdt0( sz10, X
% 0.83/1.28     ) }.
% 0.83/1.28  (1600) {G0,W7,D3,L2,V1,M2}  { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 ) =
% 0.83/1.28     sz00 }.
% 0.83/1.28  (1601) {G0,W7,D3,L2,V1,M2}  { ! aNaturalNumber0( X ), sz00 = sdtasdt0( sz00
% 0.83/1.28    , X ) }.
% 0.83/1.28  (1602) {G0,W19,D4,L4,V3,M4}  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.83/1.28     ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( 
% 0.83/1.28    sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 0.83/1.28  (1603) {G0,W19,D4,L4,V3,M4}  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.83/1.28     ), ! aNaturalNumber0( Z ), sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0( 
% 0.83/1.28    sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 0.83/1.28  (1604) {G0,W16,D3,L5,V3,M5}  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.83/1.28     ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z
% 0.83/1.28     }.
% 0.83/1.28  (1605) {G0,W16,D3,L5,V3,M5}  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.83/1.28     ), ! aNaturalNumber0( Z ), ! sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z
% 69.68/70.10     }.
% 69.68/70.10  (1606) {G0,W19,D3,L6,V3,M6}  { ! aNaturalNumber0( X ), X = sz00, ! 
% 69.68/70.10    aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) = 
% 69.68/70.10    sdtasdt0( X, Z ), Y = Z }.
% 69.68/70.10  (1607) {G0,W19,D3,L6,V3,M6}  { ! aNaturalNumber0( X ), X = sz00, ! 
% 69.68/70.10    aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) = 
% 69.68/70.10    sdtasdt0( Z, X ), Y = Z }.
% 69.68/70.10  (1608) {G0,W12,D3,L4,V2,M4}  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 69.68/70.10     ), ! sdtpldt0( X, Y ) = sz00, X = sz00 }.
% 69.68/70.10  (1609) {G0,W12,D3,L4,V2,M4}  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 69.68/70.10     ), ! sdtpldt0( X, Y ) = sz00, Y = sz00 }.
% 69.68/70.10  (1610) {G0,W2,D2,L1,V0,M1}  { aNaturalNumber0( xm ) }.
% 69.68/70.10  (1611) {G0,W2,D2,L1,V0,M1}  { aNaturalNumber0( xn ) }.
% 69.68/70.10  (1612) {G0,W5,D3,L1,V0,M1}  { sdtasdt0( xm, xn ) = sz00 }.
% 69.68/70.10  (1613) {G0,W3,D2,L1,V0,M1}  { ! xm = sz00 }.
% 69.68/70.10  (1614) {G0,W3,D2,L1,V0,M1}  { ! xn = sz00 }.
% 69.68/70.10  
% 69.68/70.10  
% 69.68/70.10  Total Proof:
% 69.68/70.10  
% 69.68/70.10  subsumption: (1) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz00 ) }.
% 69.68/70.10  parent0: (1587) {G0,W2,D2,L1,V0,M1}  { aNaturalNumber0( sz00 ) }.
% 69.68/70.10  substitution0:
% 69.68/70.10  end
% 69.68/70.10  permutation0:
% 69.68/70.10     0 ==> 0
% 69.68/70.10  end
% 69.68/70.10  
% 69.68/70.10  subsumption: (14) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0
% 69.68/70.10    ( X, sz00 ) ==> sz00 }.
% 69.68/70.10  parent0: (1600) {G0,W7,D3,L2,V1,M2}  { ! aNaturalNumber0( X ), sdtasdt0( X
% 69.68/70.10    , sz00 ) = sz00 }.
% 69.68/70.10  substitution0:
% 69.68/70.10     X := X
% 69.68/70.10  end
% 69.68/70.10  permutation0:
% 69.68/70.10     0 ==> 0
% 69.68/70.10     1 ==> 1
% 69.68/70.10  end
% 69.68/70.10  
% 69.68/70.10  subsumption: (20) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), X = sz00
% 69.68/70.10    , ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) = 
% 69.68/70.10    sdtasdt0( X, Z ), Y = Z }.
% 69.68/70.10  parent0: (1606) {G0,W19,D3,L6,V3,M6}  { ! aNaturalNumber0( X ), X = sz00, !
% 69.68/70.10     aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) = 
% 69.68/70.10    sdtasdt0( X, Z ), Y = Z }.
% 69.68/70.10  substitution0:
% 69.68/70.10     X := X
% 69.68/70.10     Y := Y
% 69.68/70.10     Z := Z
% 69.68/70.10  end
% 69.68/70.10  permutation0:
% 69.68/70.10     0 ==> 0
% 69.68/70.10     1 ==> 1
% 69.68/70.10     2 ==> 2
% 69.68/70.10     3 ==> 3
% 69.68/70.10     4 ==> 4
% 69.68/70.10     5 ==> 5
% 69.68/70.10  end
% 69.68/70.10  
% 69.68/70.10  *** allocated 33750 integers for termspace/termends
% 69.68/70.10  subsumption: (24) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 69.68/70.10  parent0: (1610) {G0,W2,D2,L1,V0,M1}  { aNaturalNumber0( xm ) }.
% 69.68/70.10  substitution0:
% 69.68/70.10  end
% 69.68/70.10  permutation0:
% 69.68/70.10     0 ==> 0
% 69.68/70.10  end
% 69.68/70.10  
% 69.68/70.10  subsumption: (25) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 69.68/70.10  parent0: (1611) {G0,W2,D2,L1,V0,M1}  { aNaturalNumber0( xn ) }.
% 69.68/70.10  substitution0:
% 69.68/70.10  end
% 69.68/70.10  permutation0:
% 69.68/70.10     0 ==> 0
% 69.68/70.10  end
% 69.68/70.10  
% 69.68/70.10  subsumption: (26) {G0,W5,D3,L1,V0,M1} I { sdtasdt0( xm, xn ) ==> sz00 }.
% 69.68/70.10  parent0: (1612) {G0,W5,D3,L1,V0,M1}  { sdtasdt0( xm, xn ) = sz00 }.
% 69.68/70.10  substitution0:
% 69.68/70.10  end
% 69.68/70.10  permutation0:
% 69.68/70.10     0 ==> 0
% 69.68/70.10  end
% 69.68/70.10  
% 69.68/70.10  *** allocated 170857 integers for clauses
% 69.68/70.10  subsumption: (27) {G0,W3,D2,L1,V0,M1} I { ! xm ==> sz00 }.
% 69.68/70.10  parent0: (1613) {G0,W3,D2,L1,V0,M1}  { ! xm = sz00 }.
% 69.68/70.10  substitution0:
% 69.68/70.10  end
% 69.68/70.10  permutation0:
% 69.68/70.10     0 ==> 0
% 69.68/70.10  end
% 69.68/70.10  
% 69.68/70.10  subsumption: (28) {G0,W3,D2,L1,V0,M1} I { ! xn ==> sz00 }.
% 69.68/70.10  parent0: (1614) {G0,W3,D2,L1,V0,M1}  { ! xn = sz00 }.
% 69.68/70.10  substitution0:
% 69.68/70.10  end
% 69.68/70.10  permutation0:
% 69.68/70.10     0 ==> 0
% 69.68/70.10  end
% 69.68/70.10  
% 69.68/70.10  *** allocated 50625 integers for termspace/termends
% 69.68/70.10  *** allocated 75937 integers for termspace/termends
% 69.68/70.10  *** allocated 15000 integers for justifications
% 69.68/70.10  *** allocated 22500 integers for justifications
% 69.68/70.10  *** allocated 113905 integers for termspace/termends
% 69.68/70.10  *** allocated 33750 integers for justifications
% 69.68/70.10  *** allocated 50625 integers for justifications
% 69.68/70.10  *** allocated 256285 integers for clauses
% 69.68/70.10  *** allocated 170857 integers for termspace/termends
% 69.68/70.10  *** allocated 75937 integers for justifications
% 69.68/70.10  *** allocated 256285 integers for termspace/termends
% 69.68/70.10  *** allocated 113905 integers for justifications
% 69.68/70.10  *** allocated 384427 integers for termspace/termends
% 69.68/70.10  *** allocated 384427 integers for clauses
% 69.68/70.10  *** allocated 576640 integers for termspace/termends
% 69.68/70.10  *** allocated 170857 integers for justifications
% 69.68/70.10  *** allocated 256285 integers for justifications
% 69.68/70.10  *** allocated 576640 integers for clauses
% 69.68/70.10  *** allocated 864960 integers for termspace/termends
% 69.68/70.10  *** allocated 384427 integers for justifications
% 69.68/70.10  *** allocated 1297440 integers for termspace/termends
% 69.68/70.10  *** allocated 864960 integers for clauses
% 69.68/70.10  *** allocated 576640 integers for justifications
% 69.68/70.10  *** allocated 1946160 integers for termspace/termends
% 69.68/70.10  *** allocated 1297440 integers for clauses
% 69.68/70.10  *** allocated 864960 integers for justifications
% 69.68/70.10  *** allocated 2919240 iCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------