TSTP Solution File: NUM458+2 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : NUM458+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n014.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 06:22:28 EDT 2022

% Result   : Theorem 0.72s 1.10s
% Output   : Refutation 0.72s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : NUM458+2 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n014.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % DateTime : Tue Jul  5 13:23:23 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.72/1.10  *** allocated 10000 integers for termspace/termends
% 0.72/1.10  *** allocated 10000 integers for clauses
% 0.72/1.10  *** allocated 10000 integers for justifications
% 0.72/1.10  Bliksem 1.12
% 0.72/1.10  
% 0.72/1.10  
% 0.72/1.10  Automatic Strategy Selection
% 0.72/1.10  
% 0.72/1.10  
% 0.72/1.10  Clauses:
% 0.72/1.10  
% 0.72/1.10  { && }.
% 0.72/1.10  { aNaturalNumber0( sz00 ) }.
% 0.72/1.10  { aNaturalNumber0( sz10 ) }.
% 0.72/1.10  { ! sz10 = sz00 }.
% 0.72/1.10  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0
% 0.72/1.10    ( X, Y ) ) }.
% 0.72/1.10  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0
% 0.72/1.10    ( X, Y ) ) }.
% 0.72/1.10  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtpldt0( X, Y ) = 
% 0.72/1.10    sdtpldt0( Y, X ) }.
% 0.72/1.10  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), 
% 0.72/1.10    sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ) }.
% 0.72/1.10  { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) = X }.
% 0.72/1.10  { ! aNaturalNumber0( X ), X = sdtpldt0( sz00, X ) }.
% 0.72/1.10  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtasdt0( X, Y ) = 
% 0.72/1.10    sdtasdt0( Y, X ) }.
% 0.72/1.10  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), 
% 0.72/1.10    sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ) }.
% 0.72/1.10  { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 ) = X }.
% 0.72/1.10  { ! aNaturalNumber0( X ), X = sdtasdt0( sz10, X ) }.
% 0.72/1.10  { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 ) = sz00 }.
% 0.72/1.10  { ! aNaturalNumber0( X ), sz00 = sdtasdt0( sz00, X ) }.
% 0.72/1.10  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), 
% 0.72/1.10    sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X
% 0.72/1.10    , Z ) ) }.
% 0.72/1.10  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), 
% 0.72/1.10    sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0( sdtasdt0( Y, X ), sdtasdt0( Z
% 0.72/1.10    , X ) ) }.
% 0.72/1.10  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.72/1.10     sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z }.
% 0.72/1.10  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.72/1.10     sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z }.
% 0.72/1.10  { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), ! 
% 0.72/1.10    aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ), Y = Z }.
% 0.72/1.10  { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), ! 
% 0.72/1.10    aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ), Y = Z }.
% 0.72/1.10  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.72/1.10    , X = sz00 }.
% 0.72/1.10  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.72/1.10    , Y = sz00 }.
% 0.72/1.10  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sz00
% 0.72/1.10    , X = sz00, Y = sz00 }.
% 0.72/1.10  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), 
% 0.72/1.10    aNaturalNumber0( skol1( Z, T ) ) }.
% 0.72/1.10  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), 
% 0.72/1.10    sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 0.72/1.10  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.72/1.10     sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y ) }.
% 0.72/1.10  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.72/1.10     = sdtmndt0( Y, X ), aNaturalNumber0( Z ) }.
% 0.72/1.10  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.72/1.10     = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y }.
% 0.72/1.10  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! 
% 0.72/1.10    aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 0.72/1.10  { aNaturalNumber0( xm ) }.
% 0.72/1.10  { ! aNaturalNumber0( X ), ! sdtpldt0( xm, X ) = xm }.
% 0.72/1.10  { ! sdtlseqdt0( xm, xm ) }.
% 0.72/1.10  
% 0.72/1.10  percentage equality = 0.339286, percentage horn = 0.911765
% 0.72/1.10  This is a problem with some equality
% 0.72/1.10  
% 0.72/1.10  
% 0.72/1.10  
% 0.72/1.10  Options Used:
% 0.72/1.10  
% 0.72/1.10  useres =            1
% 0.72/1.10  useparamod =        1
% 0.72/1.10  useeqrefl =         1
% 0.72/1.10  useeqfact =         1
% 0.72/1.10  usefactor =         1
% 0.72/1.10  usesimpsplitting =  0
% 0.72/1.10  usesimpdemod =      5
% 0.72/1.10  usesimpres =        3
% 0.72/1.10  
% 0.72/1.10  resimpinuse      =  1000
% 0.72/1.10  resimpclauses =     20000
% 0.72/1.10  substype =          eqrewr
% 0.72/1.10  backwardsubs =      1
% 0.72/1.10  selectoldest =      5
% 0.72/1.10  
% 0.72/1.10  litorderings [0] =  split
% 0.72/1.10  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.72/1.10  
% 0.72/1.10  termordering =      kbo
% 0.72/1.10  
% 0.72/1.10  litapriori =        0
% 0.72/1.10  termapriori =       1
% 0.72/1.10  litaposteriori =    0
% 0.72/1.10  termaposteriori =   0
% 0.72/1.10  demodaposteriori =  0
% 0.72/1.10  ordereqreflfact =   0
% 0.72/1.10  
% 0.72/1.10  litselect =         negord
% 0.72/1.10  
% 0.72/1.10  maxweight =         15
% 0.72/1.10  maxdepth =          30000
% 0.72/1.10  maxlength =         115
% 0.72/1.10  maxnrvars =         195
% 0.72/1.10  excuselevel =       1
% 0.72/1.10  increasemaxweight = 1
% 0.72/1.10  
% 0.72/1.10  maxselected =       10000000
% 0.72/1.10  maxnrclauses =      10000000
% 0.72/1.10  
% 0.72/1.10  showgenerated =    0
% 0.72/1.10  showkept =         0
% 0.72/1.10  showselected =     0
% 0.72/1.10  showdeleted =      0
% 0.72/1.10  showresimp =       1
% 0.72/1.10  showstatus =       2000
% 0.72/1.10  
% 0.72/1.10  prologoutput =     0
% 0.72/1.10  nrgoals =          5000000
% 0.72/1.10  totalproof =       1
% 0.72/1.10  
% 0.72/1.10  Symbols occurring in the translation:
% 0.72/1.10  
% 0.72/1.10  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.72/1.10  .  [1, 2]      (w:1, o:18, a:1, s:1, b:0), 
% 0.72/1.10  &&  [3, 0]      (w:1, o:4, a:1, s:1, b:0), 
% 0.72/1.10  !  [4, 1]      (w:0, o:12, a:1, s:1, b:0), 
% 0.72/1.10  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.72/1.10  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.72/1.10  aNaturalNumber0  [36, 1]      (w:1, o:17, a:1, s:1, b:0), 
% 0.72/1.10  sz00  [37, 0]      (w:1, o:7, a:1, s:1, b:0), 
% 0.72/1.10  sz10  [38, 0]      (w:1, o:8, a:1, s:1, b:0), 
% 0.72/1.10  sdtpldt0  [40, 2]      (w:1, o:42, a:1, s:1, b:0), 
% 0.72/1.10  sdtasdt0  [41, 2]      (w:1, o:43, a:1, s:1, b:0), 
% 0.72/1.10  sdtlseqdt0  [43, 2]      (w:1, o:44, a:1, s:1, b:0), 
% 0.72/1.10  sdtmndt0  [44, 2]      (w:1, o:45, a:1, s:1, b:0), 
% 0.72/1.10  xm  [45, 0]      (w:1, o:11, a:1, s:1, b:0), 
% 0.72/1.10  skol1  [46, 2]      (w:1, o:46, a:1, s:1, b:1).
% 0.72/1.10  
% 0.72/1.10  
% 0.72/1.10  Starting Search:
% 0.72/1.10  
% 0.72/1.10  *** allocated 15000 integers for clauses
% 0.72/1.10  *** allocated 22500 integers for clauses
% 0.72/1.10  *** allocated 33750 integers for clauses
% 0.72/1.10  *** allocated 50625 integers for clauses
% 0.72/1.10  *** allocated 75937 integers for clauses
% 0.72/1.10  *** allocated 15000 integers for termspace/termends
% 0.72/1.10  
% 0.72/1.10  Bliksems!, er is een bewijs:
% 0.72/1.10  % SZS status Theorem
% 0.72/1.10  % SZS output start Refutation
% 0.72/1.10  
% 0.72/1.10  (1) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz00 ) }.
% 0.72/1.10  (8) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) ==>
% 0.72/1.10     X }.
% 0.72/1.10  (9) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtpldt0( sz00, X ) ==>
% 0.72/1.10     X }.
% 0.72/1.10  (18) {G0,W16,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.72/1.10     ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z
% 0.72/1.10     }.
% 0.72/1.10  (31) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 0.72/1.10  (32) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), ! sdtpldt0( xm, X ) 
% 0.72/1.10    ==> xm }.
% 0.72/1.10  (446) {G1,W5,D3,L1,V0,M1} R(8,31) { sdtpldt0( xm, sz00 ) ==> xm }.
% 0.72/1.10  (982) {G2,W11,D3,L4,V2,M4} P(18,446);d(8);r(32) { ! aNaturalNumber0( Y ), !
% 0.72/1.10     aNaturalNumber0( sz00 ), ! aNaturalNumber0( X ), ! sdtpldt0( Y, X ) ==> 
% 0.72/1.10    Y }.
% 0.72/1.10  (997) {G3,W5,D2,L2,V1,M2} F(982);d(9);r(1) { ! aNaturalNumber0( X ), ! X = 
% 0.72/1.10    sz00 }.
% 0.72/1.10  (1000) {G4,W0,D0,L0,V0,M0} Q(997);r(1) {  }.
% 0.72/1.10  
% 0.72/1.10  
% 0.72/1.10  % SZS output end Refutation
% 0.72/1.10  found a proof!
% 0.72/1.10  
% 0.72/1.10  
% 0.72/1.10  Unprocessed initial clauses:
% 0.72/1.10  
% 0.72/1.10  (1002) {G0,W1,D1,L1,V0,M1}  { && }.
% 0.72/1.10  (1003) {G0,W2,D2,L1,V0,M1}  { aNaturalNumber0( sz00 ) }.
% 0.72/1.10  (1004) {G0,W2,D2,L1,V0,M1}  { aNaturalNumber0( sz10 ) }.
% 0.72/1.10  (1005) {G0,W3,D2,L1,V0,M1}  { ! sz10 = sz00 }.
% 0.72/1.10  (1006) {G0,W8,D3,L3,V2,M3}  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.72/1.10     ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 0.72/1.10  (1007) {G0,W8,D3,L3,V2,M3}  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.72/1.10     ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 0.72/1.10  (1008) {G0,W11,D3,L3,V2,M3}  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.72/1.10     ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 0.72/1.10  (1009) {G0,W17,D4,L4,V3,M4}  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.72/1.10     ), ! aNaturalNumber0( Z ), sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X
% 0.72/1.10    , sdtpldt0( Y, Z ) ) }.
% 0.72/1.10  (1010) {G0,W7,D3,L2,V1,M2}  { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) =
% 0.72/1.10     X }.
% 0.72/1.10  (1011) {G0,W7,D3,L2,V1,M2}  { ! aNaturalNumber0( X ), X = sdtpldt0( sz00, X
% 0.72/1.10     ) }.
% 0.72/1.10  (1012) {G0,W11,D3,L3,V2,M3}  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.72/1.10     ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 0.72/1.10  (1013) {G0,W17,D4,L4,V3,M4}  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.72/1.10     ), ! aNaturalNumber0( Z ), sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X
% 0.72/1.10    , sdtasdt0( Y, Z ) ) }.
% 0.72/1.10  (1014) {G0,W7,D3,L2,V1,M2}  { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 ) =
% 0.72/1.10     X }.
% 0.72/1.10  (1015) {G0,W7,D3,L2,V1,M2}  { ! aNaturalNumber0( X ), X = sdtasdt0( sz10, X
% 0.72/1.10     ) }.
% 0.72/1.10  (1016) {G0,W7,D3,L2,V1,M2}  { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 ) =
% 0.72/1.10     sz00 }.
% 0.72/1.10  (1017) {G0,W7,D3,L2,V1,M2}  { ! aNaturalNumber0( X ), sz00 = sdtasdt0( sz00
% 0.72/1.10    , X ) }.
% 0.72/1.10  (1018) {G0,W19,D4,L4,V3,M4}  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.72/1.10     ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( 
% 0.72/1.10    sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 0.72/1.10  (1019) {G0,W19,D4,L4,V3,M4}  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.72/1.10     ), ! aNaturalNumber0( Z ), sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0( 
% 0.72/1.10    sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 0.72/1.10  (1020) {G0,W16,D3,L5,V3,M5}  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.72/1.10     ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z
% 0.72/1.10     }.
% 0.72/1.10  (1021) {G0,W16,D3,L5,V3,M5}  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.72/1.10     ), ! aNaturalNumber0( Z ), ! sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z
% 0.72/1.10     }.
% 0.72/1.10  (1022) {G0,W19,D3,L6,V3,M6}  { ! aNaturalNumber0( X ), X = sz00, ! 
% 0.72/1.10    aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) = 
% 0.72/1.10    sdtasdt0( X, Z ), Y = Z }.
% 0.72/1.10  (1023) {G0,W19,D3,L6,V3,M6}  { ! aNaturalNumber0( X ), X = sz00, ! 
% 0.72/1.10    aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) = 
% 0.72/1.10    sdtasdt0( Z, X ), Y = Z }.
% 0.72/1.10  (1024) {G0,W12,D3,L4,V2,M4}  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.72/1.10     ), ! sdtpldt0( X, Y ) = sz00, X = sz00 }.
% 0.72/1.10  (1025) {G0,W12,D3,L4,V2,M4}  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.72/1.10     ), ! sdtpldt0( X, Y ) = sz00, Y = sz00 }.
% 0.72/1.10  (1026) {G0,W15,D3,L5,V2,M5}  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.72/1.10     ), ! sdtasdt0( X, Y ) = sz00, X = sz00, Y = sz00 }.
% 0.72/1.10  (1027) {G0,W11,D3,L4,V4,M4}  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.72/1.10     ), ! sdtlseqdt0( X, Y ), aNaturalNumber0( skol1( Z, T ) ) }.
% 0.72/1.10  (1028) {G0,W14,D4,L4,V2,M4}  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.72/1.10     ), ! sdtlseqdt0( X, Y ), sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 0.72/1.10  (1029) {G0,W14,D3,L5,V3,M5}  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.72/1.10     ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y )
% 0.72/1.10     }.
% 0.72/1.10  (1030) {G0,W14,D3,L5,V3,M5}  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.72/1.10     ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), aNaturalNumber0( Z )
% 0.72/1.10     }.
% 0.72/1.10  (1031) {G0,W17,D3,L5,V3,M5}  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.72/1.10     ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y
% 0.72/1.10     }.
% 0.72/1.10  (1032) {G0,W19,D3,L6,V3,M6}  { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.72/1.10     ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y
% 0.72/1.10    , Z = sdtmndt0( Y, X ) }.
% 0.72/1.10  (1033) {G0,W2,D2,L1,V0,M1}  { aNaturalNumber0( xm ) }.
% 0.72/1.10  (1034) {G0,W7,D3,L2,V1,M2}  { ! aNaturalNumber0( X ), ! sdtpldt0( xm, X ) =
% 0.72/1.10     xm }.
% 0.72/1.10  (1035) {G0,W3,D2,L1,V0,M1}  { ! sdtlseqdt0( xm, xm ) }.
% 0.72/1.10  
% 0.72/1.10  
% 0.72/1.10  Total Proof:
% 0.72/1.10  
% 0.72/1.10  subsumption: (1) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz00 ) }.
% 0.72/1.10  parent0: (1003) {G0,W2,D2,L1,V0,M1}  { aNaturalNumber0( sz00 ) }.
% 0.72/1.10  substitution0:
% 0.72/1.10  end
% 0.72/1.10  permutation0:
% 0.72/1.10     0 ==> 0
% 0.72/1.10  end
% 0.72/1.10  
% 0.72/1.10  subsumption: (8) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtpldt0( 
% 0.72/1.10    X, sz00 ) ==> X }.
% 0.72/1.10  parent0: (1010) {G0,W7,D3,L2,V1,M2}  { ! aNaturalNumber0( X ), sdtpldt0( X
% 0.72/1.10    , sz00 ) = X }.
% 0.72/1.10  substitution0:
% 0.72/1.10     X := X
% 0.72/1.10  end
% 0.72/1.10  permutation0:
% 0.72/1.10     0 ==> 0
% 0.72/1.10     1 ==> 1
% 0.72/1.10  end
% 0.72/1.10  
% 0.72/1.10  eqswap: (1064) {G0,W7,D3,L2,V1,M2}  { sdtpldt0( sz00, X ) = X, ! 
% 0.72/1.10    aNaturalNumber0( X ) }.
% 0.72/1.10  parent0[1]: (1011) {G0,W7,D3,L2,V1,M2}  { ! aNaturalNumber0( X ), X = 
% 0.72/1.10    sdtpldt0( sz00, X ) }.
% 0.72/1.10  substitution0:
% 0.72/1.10     X := X
% 0.72/1.10  end
% 0.72/1.10  
% 0.72/1.10  subsumption: (9) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtpldt0( 
% 0.72/1.10    sz00, X ) ==> X }.
% 0.72/1.10  parent0: (1064) {G0,W7,D3,L2,V1,M2}  { sdtpldt0( sz00, X ) = X, ! 
% 0.72/1.10    aNaturalNumber0( X ) }.
% 0.72/1.10  substitution0:
% 0.72/1.10     X := X
% 0.72/1.10  end
% 0.72/1.10  permutation0:
% 0.72/1.10     0 ==> 1
% 0.72/1.10     1 ==> 0
% 0.72/1.10  end
% 0.72/1.10  
% 0.72/1.10  subsumption: (18) {G0,W16,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), ! 
% 0.72/1.10    aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) = 
% 0.72/1.10    sdtpldt0( X, Z ), Y = Z }.
% 0.72/1.10  parent0: (1020) {G0,W16,D3,L5,V3,M5}  { ! aNaturalNumber0( X ), ! 
% 0.72/1.10    aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) = 
% 0.72/1.10    sdtpldt0( X, Z ), Y = Z }.
% 0.72/1.10  substitution0:
% 0.72/1.10     X := X
% 0.72/1.10     Y := Y
% 0.72/1.10     Z := Z
% 0.72/1.10  end
% 0.72/1.10  permutation0:
% 0.72/1.10     0 ==> 0
% 0.72/1.10     1 ==> 1
% 0.72/1.10     2 ==> 2
% 0.72/1.10     3 ==> 3
% 0.72/1.10     4 ==> 4
% 0.72/1.10  end
% 0.72/1.10  
% 0.72/1.10  *** allocated 22500 integers for termspace/termends
% 0.72/1.10  subsumption: (31) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 0.72/1.10  parent0: (1033) {G0,W2,D2,L1,V0,M1}  { aNaturalNumber0( xm ) }.
% 0.72/1.10  substitution0:
% 0.72/1.10  end
% 0.72/1.10  permutation0:
% 0.72/1.10     0 ==> 0
% 0.72/1.10  end
% 0.72/1.10  
% 0.72/1.10  *** allocated 113905 integers for clauses
% 0.72/1.10  subsumption: (32) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), ! 
% 0.72/1.10    sdtpldt0( xm, X ) ==> xm }.
% 0.72/1.10  parent0: (1034) {G0,W7,D3,Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------