TSTP Solution File: NUM843+1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : NUM843+1 : TPTP v8.1.0. Released v4.1.0.
% 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 06:26:58 EDT 2022

% Result   : Theorem 0.77s 1.21s
% Output   : Refutation 0.77s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : NUM843+1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.15  % Command  : bliksem %s
% 0.15/0.37  % Computer : n015.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % DateTime : Thu Jul  7 10:23:19 EDT 2022
% 0.15/0.37  % CPUTime  : 
% 0.77/1.21  *** allocated 10000 integers for termspace/termends
% 0.77/1.21  *** allocated 10000 integers for clauses
% 0.77/1.21  *** allocated 10000 integers for justifications
% 0.77/1.21  Bliksem 1.12
% 0.77/1.21  
% 0.77/1.21  
% 0.77/1.21  Automatic Strategy Selection
% 0.77/1.21  
% 0.77/1.21  
% 0.77/1.21  Clauses:
% 0.77/1.21  
% 0.77/1.21  { ! greater( vd390, vd391 ) }.
% 0.77/1.21  { ! leq( vd390, vd391 ) }.
% 0.77/1.21  { less( vd390, vplus( vd391, v1 ) ) }.
% 0.77/1.21  { ! greater( X, Y ), geq( X, vplus( Y, v1 ) ) }.
% 0.77/1.21  { geq( X, v1 ) }.
% 0.77/1.21  { ! geq( Z, T ), ! geq( X, Y ), geq( vplus( X, Z ), vplus( Y, T ) ) }.
% 0.77/1.21  { ! greater( Z, T ), ! geq( X, Y ), greater( vplus( X, Z ), vplus( Y, T ) )
% 0.77/1.21     }.
% 0.77/1.21  { ! geq( Z, T ), ! greater( X, Y ), greater( vplus( X, Z ), vplus( Y, T ) )
% 0.77/1.21     }.
% 0.77/1.21  { ! greater( Z, T ), ! greater( X, Y ), greater( vplus( X, Z ), vplus( Y, T
% 0.77/1.21     ) ) }.
% 0.77/1.21  { ! less( vplus( X, Z ), vplus( Y, Z ) ), less( X, Y ) }.
% 0.77/1.21  { ! vplus( X, Z ) = vplus( Y, Z ), X = Y }.
% 0.77/1.21  { ! greater( vplus( X, Z ), vplus( Y, Z ) ), greater( X, Y ) }.
% 0.77/1.21  { ! less( X, Y ), less( vplus( X, Z ), vplus( Y, Z ) ) }.
% 0.77/1.21  { ! X = Y, vplus( X, Z ) = vplus( Y, Z ) }.
% 0.77/1.21  { ! greater( X, Y ), greater( vplus( X, Z ), vplus( Y, Z ) ) }.
% 0.77/1.21  { greater( vplus( X, Y ), X ) }.
% 0.77/1.21  { ! leq( Z, Y ), ! leq( X, Z ), leq( X, Y ) }.
% 0.77/1.21  { ! less( Z, Y ), ! leq( X, Z ), less( X, Y ) }.
% 0.77/1.21  { ! leq( Z, Y ), ! less( X, Z ), less( X, Y ) }.
% 0.77/1.21  { ! less( Z, Y ), ! less( X, Z ), less( X, Y ) }.
% 0.77/1.21  { ! leq( X, Y ), geq( Y, X ) }.
% 0.77/1.21  { ! geq( X, Y ), leq( Y, X ) }.
% 0.77/1.21  { ! leq( Y, X ), less( Y, X ), Y = X }.
% 0.77/1.21  { ! less( Y, X ), leq( Y, X ) }.
% 0.77/1.21  { ! Y = X, leq( Y, X ) }.
% 0.77/1.21  { ! geq( Y, X ), greater( Y, X ), Y = X }.
% 0.77/1.21  { ! greater( Y, X ), geq( Y, X ) }.
% 0.77/1.21  { ! Y = X, geq( Y, X ) }.
% 0.77/1.21  { ! less( X, Y ), greater( Y, X ) }.
% 0.77/1.21  { ! greater( X, Y ), less( Y, X ) }.
% 0.77/1.21  { X = Y, greater( X, Y ), less( X, Y ) }.
% 0.77/1.21  { ! X = Y, ! less( X, Y ) }.
% 0.77/1.21  { ! greater( X, Y ), ! less( X, Y ) }.
% 0.77/1.21  { ! X = Y, ! greater( X, Y ) }.
% 0.77/1.21  { ! less( Y, X ), X = vplus( Y, skol1( X, Y ) ) }.
% 0.77/1.21  { ! X = vplus( Y, Z ), less( Y, X ) }.
% 0.77/1.21  { ! greater( Y, X ), Y = vplus( X, skol2( X, Y ) ) }.
% 0.77/1.21  { ! Y = vplus( X, Z ), greater( Y, X ) }.
% 0.77/1.21  { X = Y, X = vplus( Y, skol3( X, Y ) ), Y = vplus( X, skol4( X, Y ) ) }.
% 0.77/1.21  { ! X = Y, ! Y = vplus( X, Z ) }.
% 0.77/1.21  { ! X = vplus( Y, Z ), ! Y = vplus( X, T ) }.
% 0.77/1.21  { ! X = Y, ! X = vplus( Y, Z ) }.
% 0.77/1.21  { X = Y, ! vplus( Z, X ) = vplus( Z, Y ) }.
% 0.77/1.21  { ! Y = vplus( X, Y ) }.
% 0.77/1.21  { vplus( Y, X ) = vplus( X, Y ) }.
% 0.77/1.21  { vplus( vsucc( X ), Y ) = vsucc( vplus( X, Y ) ) }.
% 0.77/1.21  { vplus( v1, X ) = vsucc( X ) }.
% 0.77/1.21  { vplus( vplus( X, Y ), Z ) = vplus( X, vplus( Y, Z ) ) }.
% 0.77/1.21  { vplus( X, vsucc( Y ) ) = vsucc( vplus( X, Y ) ) }.
% 0.77/1.21  { vplus( X, v1 ) = vsucc( X ) }.
% 0.77/1.21  { X = v1, X = vsucc( vskolem2( X ) ) }.
% 0.77/1.21  { ! vsucc( X ) = X }.
% 0.77/1.21  { X = Y, ! vsucc( X ) = vsucc( Y ) }.
% 0.77/1.21  { ! vsucc( X ) = vsucc( Y ), X = Y }.
% 0.77/1.21  { ! vsucc( X ) = v1 }.
% 0.77/1.21  
% 0.77/1.21  percentage equality = 0.367925, percentage horn = 0.907407
% 0.77/1.21  This is a problem with some equality
% 0.77/1.21  
% 0.77/1.21  
% 0.77/1.21  
% 0.77/1.21  Options Used:
% 0.77/1.21  
% 0.77/1.21  useres =            1
% 0.77/1.21  useparamod =        1
% 0.77/1.21  useeqrefl =         1
% 0.77/1.21  useeqfact =         1
% 0.77/1.21  usefactor =         1
% 0.77/1.21  usesimpsplitting =  0
% 0.77/1.21  usesimpdemod =      5
% 0.77/1.21  usesimpres =        3
% 0.77/1.21  
% 0.77/1.21  resimpinuse      =  1000
% 0.77/1.21  resimpclauses =     20000
% 0.77/1.21  substype =          eqrewr
% 0.77/1.21  backwardsubs =      1
% 0.77/1.21  selectoldest =      5
% 0.77/1.21  
% 0.77/1.21  litorderings [0] =  split
% 0.77/1.21  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.77/1.21  
% 0.77/1.21  termordering =      kbo
% 0.77/1.21  
% 0.77/1.21  litapriori =        0
% 0.77/1.21  termapriori =       1
% 0.77/1.21  litaposteriori =    0
% 0.77/1.21  termaposteriori =   0
% 0.77/1.21  demodaposteriori =  0
% 0.77/1.21  ordereqreflfact =   0
% 0.77/1.21  
% 0.77/1.21  litselect =         negord
% 0.77/1.21  
% 0.77/1.21  maxweight =         15
% 0.77/1.21  maxdepth =          30000
% 0.77/1.21  maxlength =         115
% 0.77/1.21  maxnrvars =         195
% 0.77/1.21  excuselevel =       1
% 0.77/1.21  increasemaxweight = 1
% 0.77/1.21  
% 0.77/1.21  maxselected =       10000000
% 0.77/1.21  maxnrclauses =      10000000
% 0.77/1.21  
% 0.77/1.21  showgenerated =    0
% 0.77/1.21  showkept =         0
% 0.77/1.21  showselected =     0
% 0.77/1.21  showdeleted =      0
% 0.77/1.21  showresimp =       1
% 0.77/1.21  showstatus =       2000
% 0.77/1.21  
% 0.77/1.21  prologoutput =     0
% 0.77/1.21  nrgoals =          5000000
% 0.77/1.21  totalproof =       1
% 0.77/1.21  
% 0.77/1.21  Symbols occurring in the translation:
% 0.77/1.21  
% 0.77/1.21  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.77/1.21  .  [1, 2]      (w:1, o:94, a:1, s:1, b:0), 
% 0.77/1.21  !  [4, 1]      (w:0, o:87, a:1, s:1, b:0), 
% 0.77/1.21  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.77/1.21  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.77/1.21  vd390  [35, 0]      (w:1, o:6, a:1, s:1, b:0), 
% 0.77/1.21  vd391  [36, 0]      (w:1, o:7, a:1, s:1, b:0), 
% 0.77/1.21  greater  [37, 2]      (w:1, o:118, a:1, s:1, b:0), 
% 0.77/1.21  leq  [38, 2]      (w:1, o:119, a:1, s:1, b:0), 
% 0.77/1.21  v1  [39, 0]      (w:1, o:8, a:1, s:1, b:0), 
% 0.77/1.21  vplus  [40, 2]      (w:1, o:120, a:1, s:1, b:0), 
% 0.77/1.21  less  [41, 2]      (w:1, o:121, a:1, s:1, b:0), 
% 0.77/1.21  geq  [44, 2]      (w:1, o:122, a:1, s:1, b:0), 
% 0.77/1.21  vsucc  [108, 1]      (w:1, o:92, a:1, s:1, b:0), 
% 0.77/1.21  vskolem2  [116, 1]      (w:1, o:93, a:1, s:1, b:0), 
% 0.77/1.21  skol1  [123, 2]      (w:1, o:123, a:1, s:1, b:1), 
% 0.77/1.21  skol2  [124, 2]      (w:1, o:124, a:1, s:1, b:1), 
% 0.77/1.21  skol3  [125, 2]      (w:1, o:125, a:1, s:1, b:1), 
% 0.77/1.21  skol4  [126, 2]      (w:1, o:126, a:1, s:1, b:1).
% 0.77/1.21  
% 0.77/1.21  
% 0.77/1.21  Starting Search:
% 0.77/1.21  
% 0.77/1.21  *** allocated 15000 integers for clauses
% 0.77/1.21  *** allocated 22500 integers for clauses
% 0.77/1.21  *** allocated 33750 integers for clauses
% 0.77/1.21  *** allocated 50625 integers for clauses
% 0.77/1.21  *** allocated 15000 integers for termspace/termends
% 0.77/1.21  Resimplifying inuse:
% 0.77/1.21  Done
% 0.77/1.21  
% 0.77/1.21  *** allocated 75937 integers for clauses
% 0.77/1.21  *** allocated 22500 integers for termspace/termends
% 0.77/1.21  
% 0.77/1.21  Bliksems!, er is een bewijs:
% 0.77/1.21  % SZS status Theorem
% 0.77/1.21  % SZS output start Refutation
% 0.77/1.21  
% 0.77/1.21  (0) {G0,W3,D2,L1,V0,M1} I { ! greater( vd390, vd391 ) }.
% 0.77/1.21  (1) {G0,W3,D2,L1,V0,M1} I { ! leq( vd390, vd391 ) }.
% 0.77/1.21  (23) {G0,W6,D2,L2,V2,M2} I { ! less( Y, X ), leq( Y, X ) }.
% 0.77/1.21  (24) {G0,W6,D2,L2,V2,M2} I { ! Y = X, leq( Y, X ) }.
% 0.77/1.21  (28) {G0,W6,D2,L2,V2,M2} I { ! less( X, Y ), greater( Y, X ) }.
% 0.77/1.21  (29) {G0,W6,D2,L2,V2,M2} I { ! greater( X, Y ), less( Y, X ) }.
% 0.77/1.21  (30) {G0,W9,D2,L3,V2,M3} I { X = Y, greater( X, Y ), less( X, Y ) }.
% 0.77/1.21  (31) {G0,W6,D2,L2,V2,M2} I { ! X = Y, ! less( X, Y ) }.
% 0.77/1.21  (33) {G0,W6,D2,L2,V2,M2} I { ! X = Y, ! greater( X, Y ) }.
% 0.77/1.21  (57) {G1,W3,D2,L1,V1,M1} Q(31) { ! less( X, X ) }.
% 0.77/1.21  (87) {G1,W3,D2,L1,V0,M1} R(28,0) { ! less( vd391, vd390 ) }.
% 0.77/1.21  (134) {G1,W3,D2,L1,V0,M1} R(24,1) { ! vd391 ==> vd390 }.
% 0.77/1.21  (149) {G1,W3,D2,L1,V0,M1} R(23,1) { ! less( vd390, vd391 ) }.
% 0.77/1.21  (151) {G2,W3,D2,L1,V0,M1} R(149,29) { ! greater( vd391, vd390 ) }.
% 0.77/1.21  (1013) {G3,W3,D2,L1,V0,M1} R(30,151);r(87) { vd391 ==> vd390 }.
% 0.77/1.21  (1094) {G4,W6,D2,L2,V1,M2} P(30,134);d(1013);d(1013);r(33) { ! X = vd390, 
% 0.77/1.21    less( X, vd390 ) }.
% 0.77/1.21  (1139) {G5,W0,D0,L0,V0,M0} Q(1094);r(57) {  }.
% 0.77/1.21  
% 0.77/1.21  
% 0.77/1.21  % SZS output end Refutation
% 0.77/1.21  found a proof!
% 0.77/1.21  
% 0.77/1.21  
% 0.77/1.21  Unprocessed initial clauses:
% 0.77/1.21  
% 0.77/1.21  (1141) {G0,W3,D2,L1,V0,M1}  { ! greater( vd390, vd391 ) }.
% 0.77/1.21  (1142) {G0,W3,D2,L1,V0,M1}  { ! leq( vd390, vd391 ) }.
% 0.77/1.21  (1143) {G0,W5,D3,L1,V0,M1}  { less( vd390, vplus( vd391, v1 ) ) }.
% 0.77/1.21  (1144) {G0,W8,D3,L2,V2,M2}  { ! greater( X, Y ), geq( X, vplus( Y, v1 ) )
% 0.77/1.21     }.
% 0.77/1.21  (1145) {G0,W3,D2,L1,V1,M1}  { geq( X, v1 ) }.
% 0.77/1.21  (1146) {G0,W13,D3,L3,V4,M3}  { ! geq( Z, T ), ! geq( X, Y ), geq( vplus( X
% 0.77/1.21    , Z ), vplus( Y, T ) ) }.
% 0.77/1.21  (1147) {G0,W13,D3,L3,V4,M3}  { ! greater( Z, T ), ! geq( X, Y ), greater( 
% 0.77/1.21    vplus( X, Z ), vplus( Y, T ) ) }.
% 0.77/1.21  (1148) {G0,W13,D3,L3,V4,M3}  { ! geq( Z, T ), ! greater( X, Y ), greater( 
% 0.77/1.21    vplus( X, Z ), vplus( Y, T ) ) }.
% 0.77/1.21  (1149) {G0,W13,D3,L3,V4,M3}  { ! greater( Z, T ), ! greater( X, Y ), 
% 0.77/1.21    greater( vplus( X, Z ), vplus( Y, T ) ) }.
% 0.77/1.21  (1150) {G0,W10,D3,L2,V3,M2}  { ! less( vplus( X, Z ), vplus( Y, Z ) ), less
% 0.77/1.21    ( X, Y ) }.
% 0.77/1.21  (1151) {G0,W10,D3,L2,V3,M2}  { ! vplus( X, Z ) = vplus( Y, Z ), X = Y }.
% 0.77/1.21  (1152) {G0,W10,D3,L2,V3,M2}  { ! greater( vplus( X, Z ), vplus( Y, Z ) ), 
% 0.77/1.21    greater( X, Y ) }.
% 0.77/1.21  (1153) {G0,W10,D3,L2,V3,M2}  { ! less( X, Y ), less( vplus( X, Z ), vplus( 
% 0.77/1.21    Y, Z ) ) }.
% 0.77/1.21  (1154) {G0,W10,D3,L2,V3,M2}  { ! X = Y, vplus( X, Z ) = vplus( Y, Z ) }.
% 0.77/1.21  (1155) {G0,W10,D3,L2,V3,M2}  { ! greater( X, Y ), greater( vplus( X, Z ), 
% 0.77/1.21    vplus( Y, Z ) ) }.
% 0.77/1.21  (1156) {G0,W5,D3,L1,V2,M1}  { greater( vplus( X, Y ), X ) }.
% 0.77/1.21  (1157) {G0,W9,D2,L3,V3,M3}  { ! leq( Z, Y ), ! leq( X, Z ), leq( X, Y ) }.
% 0.77/1.21  (1158) {G0,W9,D2,L3,V3,M3}  { ! less( Z, Y ), ! leq( X, Z ), less( X, Y )
% 0.77/1.21     }.
% 0.77/1.21  (1159) {G0,W9,D2,L3,V3,M3}  { ! leq( Z, Y ), ! less( X, Z ), less( X, Y )
% 0.77/1.21     }.
% 0.77/1.21  (1160) {G0,W9,D2,L3,V3,M3}  { ! less( Z, Y ), ! less( X, Z ), less( X, Y )
% 0.77/1.21     }.
% 0.77/1.21  (1161) {G0,W6,D2,L2,V2,M2}  { ! leq( X, Y ), geq( Y, X ) }.
% 0.77/1.21  (1162) {G0,W6,D2,L2,V2,M2}  { ! geq( X, Y ), leq( Y, X ) }.
% 0.77/1.21  (1163) {G0,W9,D2,L3,V2,M3}  { ! leq( Y, X ), less( Y, X ), Y = X }.
% 0.77/1.21  (1164) {G0,W6,D2,L2,V2,M2}  { ! less( Y, X ), leq( Y, X ) }.
% 0.77/1.21  (1165) {G0,W6,D2,L2,V2,M2}  { ! Y = X, leq( Y, X ) }.
% 0.77/1.21  (1166) {G0,W9,D2,L3,V2,M3}  { ! geq( Y, X ), greater( Y, X ), Y = X }.
% 0.77/1.21  (1167) {G0,W6,D2,L2,V2,M2}  { ! greater( Y, X ), geq( Y, X ) }.
% 0.77/1.21  (1168) {G0,W6,D2,L2,V2,M2}  { ! Y = X, geq( Y, X ) }.
% 0.77/1.21  (1169) {G0,W6,D2,L2,V2,M2}  { ! less( X, Y ), greater( Y, X ) }.
% 0.77/1.21  (1170) {G0,W6,D2,L2,V2,M2}  { ! greater( X, Y ), less( Y, X ) }.
% 0.77/1.21  (1171) {G0,W9,D2,L3,V2,M3}  { X = Y, greater( X, Y ), less( X, Y ) }.
% 0.77/1.21  (1172) {G0,W6,D2,L2,V2,M2}  { ! X = Y, ! less( X, Y ) }.
% 0.77/1.21  (1173) {G0,W6,D2,L2,V2,M2}  { ! greater( X, Y ), ! less( X, Y ) }.
% 0.77/1.21  (1174) {G0,W6,D2,L2,V2,M2}  { ! X = Y, ! greater( X, Y ) }.
% 0.77/1.21  (1175) {G0,W10,D4,L2,V2,M2}  { ! less( Y, X ), X = vplus( Y, skol1( X, Y )
% 0.77/1.21     ) }.
% 0.77/1.21  (1176) {G0,W8,D3,L2,V3,M2}  { ! X = vplus( Y, Z ), less( Y, X ) }.
% 0.77/1.21  (1177) {G0,W10,D4,L2,V2,M2}  { ! greater( Y, X ), Y = vplus( X, skol2( X, Y
% 0.77/1.21     ) ) }.
% 0.77/1.21  (1178) {G0,W8,D3,L2,V3,M2}  { ! Y = vplus( X, Z ), greater( Y, X ) }.
% 0.77/1.21  (1179) {G0,W17,D4,L3,V2,M3}  { X = Y, X = vplus( Y, skol3( X, Y ) ), Y = 
% 0.77/1.21    vplus( X, skol4( X, Y ) ) }.
% 0.77/1.21  (1180) {G0,W8,D3,L2,V3,M2}  { ! X = Y, ! Y = vplus( X, Z ) }.
% 0.77/1.21  (1181) {G0,W10,D3,L2,V4,M2}  { ! X = vplus( Y, Z ), ! Y = vplus( X, T ) }.
% 0.77/1.21  (1182) {G0,W8,D3,L2,V3,M2}  { ! X = Y, ! X = vplus( Y, Z ) }.
% 0.77/1.21  (1183) {G0,W10,D3,L2,V3,M2}  { X = Y, ! vplus( Z, X ) = vplus( Z, Y ) }.
% 0.77/1.21  (1184) {G0,W5,D3,L1,V2,M1}  { ! Y = vplus( X, Y ) }.
% 0.77/1.21  (1185) {G0,W7,D3,L1,V2,M1}  { vplus( Y, X ) = vplus( X, Y ) }.
% 0.77/1.21  (1186) {G0,W9,D4,L1,V2,M1}  { vplus( vsucc( X ), Y ) = vsucc( vplus( X, Y )
% 0.77/1.21     ) }.
% 0.77/1.21  (1187) {G0,W6,D3,L1,V1,M1}  { vplus( v1, X ) = vsucc( X ) }.
% 0.77/1.21  (1188) {G0,W11,D4,L1,V3,M1}  { vplus( vplus( X, Y ), Z ) = vplus( X, vplus
% 0.77/1.21    ( Y, Z ) ) }.
% 0.77/1.21  (1189) {G0,W9,D4,L1,V2,M1}  { vplus( X, vsucc( Y ) ) = vsucc( vplus( X, Y )
% 0.77/1.21     ) }.
% 0.77/1.21  (1190) {G0,W6,D3,L1,V1,M1}  { vplus( X, v1 ) = vsucc( X ) }.
% 0.77/1.21  (1191) {G0,W8,D4,L2,V1,M2}  { X = v1, X = vsucc( vskolem2( X ) ) }.
% 0.77/1.21  (1192) {G0,W4,D3,L1,V1,M1}  { ! vsucc( X ) = X }.
% 0.77/1.21  (1193) {G0,W8,D3,L2,V2,M2}  { X = Y, ! vsucc( X ) = vsucc( Y ) }.
% 0.77/1.21  (1194) {G0,W8,D3,L2,V2,M2}  { ! vsucc( X ) = vsucc( Y ), X = Y }.
% 0.77/1.21  (1195) {G0,W4,D3,L1,V1,M1}  { ! vsucc( X ) = v1 }.
% 0.77/1.21  
% 0.77/1.21  
% 0.77/1.21  Total Proof:
% 0.77/1.21  
% 0.77/1.21  subsumption: (0) {G0,W3,D2,L1,V0,M1} I { ! greater( vd390, vd391 ) }.
% 0.77/1.21  parent0: (1141) {G0,W3,D2,L1,V0,M1}  { ! greater( vd390, vd391 ) }.
% 0.77/1.21  substitution0:
% 0.77/1.21  end
% 0.77/1.21  permutation0:
% 0.77/1.21     0 ==> 0
% 0.77/1.21  end
% 0.77/1.21  
% 0.77/1.21  subsumption: (1) {G0,W3,D2,L1,V0,M1} I { ! leq( vd390, vd391 ) }.
% 0.77/1.21  parent0: (1142) {G0,W3,D2,L1,V0,M1}  { ! leq( vd390, vd391 ) }.
% 0.77/1.21  substitution0:
% 0.77/1.21  end
% 0.77/1.21  permutation0:
% 0.77/1.21     0 ==> 0
% 0.77/1.21  end
% 0.77/1.21  
% 0.77/1.21  subsumption: (23) {G0,W6,D2,L2,V2,M2} I { ! less( Y, X ), leq( Y, X ) }.
% 0.77/1.21  parent0: (1164) {G0,W6,D2,L2,V2,M2}  { ! less( Y, X ), leq( Y, X ) }.
% 0.77/1.21  substitution0:
% 0.77/1.21     X := X
% 0.77/1.21     Y := Y
% 0.77/1.21  end
% 0.77/1.21  permutation0:
% 0.77/1.21     0 ==> 0
% 0.77/1.21     1 ==> 1
% 0.77/1.21  end
% 0.77/1.21  
% 0.77/1.21  subsumption: (24) {G0,W6,D2,L2,V2,M2} I { ! Y = X, leq( Y, X ) }.
% 0.77/1.21  parent0: (1165) {G0,W6,D2,L2,V2,M2}  { ! Y = X, leq( Y, X ) }.
% 0.77/1.21  substitution0:
% 0.77/1.21     X := X
% 0.77/1.21     Y := Y
% 0.77/1.21  end
% 0.77/1.21  permutation0:
% 0.77/1.21     0 ==> 0
% 0.77/1.21     1 ==> 1
% 0.77/1.21  end
% 0.77/1.21  
% 0.77/1.21  subsumption: (28) {G0,W6,D2,L2,V2,M2} I { ! less( X, Y ), greater( Y, X )
% 0.77/1.21     }.
% 0.77/1.21  parent0: (1169) {G0,W6,D2,L2,V2,M2}  { ! less( X, Y ), greater( Y, X ) }.
% 0.77/1.21  substitution0:
% 0.77/1.21     X := X
% 0.77/1.21     Y := Y
% 0.77/1.21  end
% 0.77/1.21  permutation0:
% 0.77/1.21     0 ==> 0
% 0.77/1.21     1 ==> 1
% 0.77/1.21  end
% 0.77/1.21  
% 0.77/1.21  subsumption: (29) {G0,W6,D2,L2,V2,M2} I { ! greater( X, Y ), less( Y, X )
% 0.77/1.21     }.
% 0.77/1.21  parent0: (1170) {G0,W6,D2,L2,V2,M2}  { ! greater( X, Y ), less( Y, X ) }.
% 0.77/1.21  substitution0:
% 0.77/1.21     X := X
% 0.77/1.21     Y := Y
% 0.77/1.21  end
% 0.77/1.21  permutation0:
% 0.77/1.21     0 ==> 0
% 0.77/1.21     1 ==> 1
% 0.77/1.21  end
% 0.77/1.21  
% 0.77/1.21  subsumption: (30) {G0,W9,D2,L3,V2,M3} I { X = Y, greater( X, Y ), less( X, 
% 0.77/1.21    Y ) }.
% 0.77/1.21  parent0: (1171) {G0,W9,D2,L3,V2,M3}  { X = Y, greater( X, Y ), less( X, Y )
% 0.77/1.21     }.
% 0.77/1.21  substitution0:
% 0.77/1.21     X := X
% 0.77/1.21     Y := Y
% 0.77/1.21  end
% 0.77/1.21  permutation0:
% 0.77/1.21     0 ==> 0
% 0.77/1.21     1 ==> 1
% 0.77/1.21     2 ==> 2
% 0.77/1.21  end
% 0.77/1.21  
% 0.77/1.21  subsumption: (31) {G0,W6,D2,L2,V2,M2} I { ! X = Y, ! less( X, Y ) }.
% 0.77/1.21  parent0: (1172) {G0,W6,D2,L2,V2,M2}  { ! X = Y, ! less( X, Y ) }.
% 0.77/1.21  substitution0:
% 0.77/1.21     X := X
% 0.77/1.21     Y := Y
% 0.77/1.21  end
% 0.77/1.21  permutation0:
% 0.77/1.21     0 ==> 0
% 0.77/1.21     1 ==> 1
% 0.77/1.21  end
% 0.77/1.21  
% 0.77/1.21  subsumption: (33) {G0,W6,D2,L2,V2,M2} I { ! X = Y, ! greater( X, Y ) }.
% 0.77/1.21  parent0: (1174) {G0,W6,D2,L2,V2,M2}  { ! X = Y, ! greater( X, Y ) }.
% 0.77/1.21  substitution0:
% 0.77/1.21     X := X
% 0.77/1.21     Y := Y
% 0.77/1.21  end
% 0.77/1.21  permutation0:
% 0.77/1.21     0 ==> 0
% 0.77/1.21     1 ==> 1
% 0.77/1.21  end
% 0.77/1.21  
% 0.77/1.21  eqswap: (1267) {G0,W6,D2,L2,V2,M2}  { ! Y = X, ! less( X, Y ) }.
% 0.77/1.21  parent0[0]: (31) {G0,W6,D2,L2,V2,M2} I { ! X = Y, ! less( X, Y ) }.
% 3.98/4.36  substitution0:
% 3.98/4.36     X := X
% 3.98/4.36     Y := Y
% 3.98/4.36  end
% 3.98/4.36  
% 3.98/4.36  eqrefl: (1268) {G0,W3,D2,L1,V1,M1}  { ! less( X, X ) }.
% 3.98/4.36  parent0[0]: (1267) {G0,W6,D2,L2,V2,M2}  { ! Y = X, ! less( X, Y ) }.
% 3.98/4.36  substitution0:
% 3.98/4.36     X := X
% 3.98/4.36     Y := X
% 3.98/4.36  end
% 3.98/4.36  
% 3.98/4.36  subsumption: (57) {G1,W3,D2,L1,V1,M1} Q(31) { ! less( X, X ) }.
% 3.98/4.36  parent0: (1268) {G0,W3,D2,L1,V1,M1}  { ! less( X, X ) }.
% 3.98/4.36  substitution0:
% 3.98/4.36     X := X
% 3.98/4.36  end
% 3.98/4.36  permutation0:
% 3.98/4.36     0 ==> 0
% 3.98/4.36  end
% 3.98/4.36  
% 3.98/4.36  resolution: (1269) {G1,W3,D2,L1,V0,M1}  { ! less( vd391, vd390 ) }.
% 3.98/4.36  parent0[0]: (0) {G0,W3,D2,L1,V0,M1} I { ! greater( vd390, vd391 ) }.
% 3.98/4.36  parent1[1]: (28) {G0,W6,D2,L2,V2,M2} I { ! less( X, Y ), greater( Y, X )
% 3.98/4.36     }.
% 3.98/4.36  substitution0:
% 3.98/4.36  end
% 3.98/4.36  substitution1:
% 3.98/4.36     X := vd391
% 3.98/4.36     Y := vd390
% 3.98/4.36  end
% 3.98/4.36  
% 3.98/4.36  subsumption: (87) {G1,W3,D2,L1,V0,M1} R(28,0) { ! less( vd391, vd390 ) }.
% 3.98/4.36  parent0: (1269) {G1,W3,D2,L1,V0,M1}  { ! less( vd391, vd390 ) }.
% 3.98/4.36  substitution0:
% 3.98/4.36  end
% 3.98/4.36  permutation0:
% 3.98/4.36     0 ==> 0
% 3.98/4.36  end
% 3.98/4.36  
% 3.98/4.36  eqswap: (1270) {G0,W6,D2,L2,V2,M2}  { ! Y = X, leq( X, Y ) }.
% 3.98/4.36  parent0[0]: (24) {G0,W6,D2,L2,V2,M2} I { ! Y = X, leq( Y, X ) }.
% 3.98/4.36  substitution0:
% 3.98/4.36     X := Y
% 3.98/4.36     Y := X
% 3.98/4.36  end
% 3.98/4.36  
% 3.98/4.36  resolution: (1271) {G1,W3,D2,L1,V0,M1}  { ! vd391 = vd390 }.
% 3.98/4.36  parent0[0]: (1) {G0,W3,D2,L1,V0,M1} I { ! leq( vd390, vd391 ) }.
% 3.98/4.36  parent1[1]: (1270) {G0,W6,D2,L2,V2,M2}  { ! Y = X, leq( X, Y ) }.
% 3.98/4.36  substitution0:
% 3.98/4.36  end
% 3.98/4.36  substitution1:
% 3.98/4.36     X := vd390
% 3.98/4.36     Y := vd391
% 3.98/4.36  end
% 3.98/4.36  
% 3.98/4.36  subsumption: (134) {G1,W3,D2,L1,V0,M1} R(24,1) { ! vd391 ==> vd390 }.
% 3.98/4.36  parent0: (1271) {G1,W3,D2,L1,V0,M1}  { ! vd391 = vd390 }.
% 3.98/4.36  substitution0:
% 3.98/4.36  end
% 3.98/4.36  permutation0:
% 3.98/4.36     0 ==> 0
% 3.98/4.36  end
% 3.98/4.36  
% 3.98/4.36  resolution: (1273) {G1,W3,D2,L1,V0,M1}  { ! less( vd390, vd391 ) }.
% 3.98/4.36  parent0[0]: (1) {G0,W3,D2,L1,V0,M1} I { ! leq( vd390, vd391 ) }.
% 3.98/4.36  parent1[1]: (23) {G0,W6,D2,L2,V2,M2} I { ! less( Y, X ), leq( Y, X ) }.
% 3.98/4.36  substitution0:
% 3.98/4.36  end
% 3.98/4.36  substitution1:
% 3.98/4.36     X := vd391
% 3.98/4.36     Y := vd390
% 3.98/4.36  end
% 3.98/4.36  
% 3.98/4.36  subsumption: (149) {G1,W3,D2,L1,V0,M1} R(23,1) { ! less( vd390, vd391 ) }.
% 3.98/4.36  parent0: (1273) {G1,W3,D2,L1,V0,M1}  { ! less( vd390, vd391 ) }.
% 3.98/4.36  substitution0:
% 3.98/4.36  end
% 3.98/4.36  permutation0:
% 3.98/4.36     0 ==> 0
% 3.98/4.36  end
% 3.98/4.36  
% 3.98/4.36  resolution: (1274) {G1,W3,D2,L1,V0,M1}  { ! greater( vd391, vd390 ) }.
% 3.98/4.36  parent0[0]: (149) {G1,W3,D2,L1,V0,M1} R(23,1) { ! less( vd390, vd391 ) }.
% 3.98/4.36  parent1[1]: (29) {G0,W6,D2,L2,V2,M2} I { ! greater( X, Y ), less( Y, X )
% 3.98/4.36     }.
% 3.98/4.36  substitution0:
% 3.98/4.36  end
% 3.98/4.36  substitution1:
% 3.98/4.36     X := vd391
% 3.98/4.36     Y := vd390
% 3.98/4.36  end
% 3.98/4.36  
% 3.98/4.36  subsumption: (151) {G2,W3,D2,L1,V0,M1} R(149,29) { ! greater( vd391, vd390
% 3.98/4.36     ) }.
% 3.98/4.36  parent0: (1274) {G1,W3,D2,L1,V0,M1}  { ! greater( vd391, vd390 ) }.
% 3.98/4.36  substitution0:
% 3.98/4.36  end
% 3.98/4.36  permutation0:
% 3.98/4.36     0 ==> 0
% 3.98/4.36  end
% 3.98/4.36  
% 3.98/4.36  eqswap: (1275) {G0,W9,D2,L3,V2,M3}  { Y = X, greater( X, Y ), less( X, Y )
% 3.98/4.36     }.
% 3.98/4.36  parent0[0]: (30) {G0,W9,D2,L3,V2,M3} I { X = Y, greater( X, Y ), less( X, Y
% 3.98/4.36     ) }.
% 3.98/4.36  substitution0:
% 3.98/4.36     X := X
% 3.98/4.36     Y := Y
% 3.98/4.36  end
% 3.98/4.36  
% 3.98/4.36  resolution: (1276) {G1,W6,D2,L2,V0,M2}  { vd390 = vd391, less( vd391, vd390
% 3.98/4.36     ) }.
% 3.98/4.36  parent0[0]: (151) {G2,W3,D2,L1,V0,M1} R(149,29) { ! greater( vd391, vd390 )
% 3.98/4.36     }.
% 3.98/4.36  parent1[1]: (1275) {G0,W9,D2,L3,V2,M3}  { Y = X, greater( X, Y ), less( X, 
% 3.98/4.36    Y ) }.
% 3.98/4.36  substitution0:
% 3.98/4.36  end
% 3.98/4.36  substitution1:
% 3.98/4.36     X := vd391
% 3.98/4.36     Y := vd390
% 3.98/4.36  end
% 3.98/4.36  
% 3.98/4.36  resolution: (1277) {G2,W3,D2,L1,V0,M1}  { vd390 = vd391 }.
% 3.98/4.36  parent0[0]: (87) {G1,W3,D2,L1,V0,M1} R(28,0) { ! less( vd391, vd390 ) }.
% 3.98/4.36  parent1[1]: (1276) {G1,W6,D2,L2,V0,M2}  { vd390 = vd391, less( vd391, vd390
% 3.98/4.36     ) }.
% 3.98/4.36  substitution0:
% 3.98/4.36  end
% 3.98/4.36  substitution1:
% 3.98/4.36  end
% 3.98/4.36  
% 3.98/4.36  eqswap: (1278) {G2,W3,D2,L1,V0,M1}  { vd391 = vd390 }.
% 3.98/4.36  parent0[0]: (1277) {G2,W3,D2,L1,V0,M1}  { vd390 = vd391 }.
% 3.98/4.36  substitution0:
% 3.98/4.36  end
% 3.98/4.36  
% 3.98/4.36  subsumption: (1013) {G3,W3,D2,L1,V0,M1} R(30,151);r(87) { vd391 ==> vd390
% 3.98/4.36     }.
% 3.98/4.36  parent0: (1278) {G2,W3,D2,L1,V0,M1}  { vd391 = vd390 }.
% 3.98/4.36  substitution0:
% 3.98/4.36  end
% 3.98/4.36  permutation0:
% 3.98/4.36     0 ==> 0
% 3.98/4.36  end
% 3.98/4.36  
% 3.98/4.36  *** allocated 33750 integers for termspace/termends
% 3.98/4.36  *** allocated 15000 integers for justifications
% 3.98/4.36  *** allocated 50625 integers for termspace/termends
% 3.98/4.36  *** allocated 22500 integers for justifications
% 3.98/4.36  *** allocated 113905 integers for clauses
% 3.98/4.36  *** allocated 33750 integers for justifications
% 3.98/4.36  *** allocated 75937 integers for termspace/termends
% 3.98/4.36  *** allocated 50625 integers for justifications
% 3.98/4.36  *** allocated 113905 integers for termspace/termends
% 3.98/4.36  *** allocated 170857 integers for clauses
% 3.98/4.36  *** allocated 75937 integers for justifications
% 3.98/4.36  *** allocated 170857 integerCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------