TSTP Solution File: NUM853+2 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : NUM853+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n016.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 06:27:06 EDT 2022

% Result   : Theorem 0.71s 1.11s
% Output   : Refutation 0.71s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : NUM853+2 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12  % Command  : bliksem %s
% 0.12/0.32  % Computer : n016.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % DateTime : Thu Jul  7 18:59:37 EDT 2022
% 0.12/0.32  % CPUTime  : 
% 0.71/1.11  *** allocated 10000 integers for termspace/termends
% 0.71/1.11  *** allocated 10000 integers for clauses
% 0.71/1.11  *** allocated 10000 integers for justifications
% 0.71/1.11  Bliksem 1.12
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  Automatic Strategy Selection
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  Clauses:
% 0.71/1.11  
% 0.71/1.11  { ! greater( vd486, vd488 ) }.
% 0.71/1.11  { greater( vmul( vd486, vd487 ), vmul( vd488, vd487 ) ) }.
% 0.71/1.11  { ! less( X, Y ), less( vmul( X, Z ), vmul( Y, Z ) ) }.
% 0.71/1.11  { ! X = Y, vmul( X, Z ) = vmul( Y, Z ) }.
% 0.71/1.11  { ! greater( X, Y ), greater( vmul( X, Z ), vmul( Y, Z ) ) }.
% 0.71/1.11  { vmul( vmul( X, Y ), Z ) = vmul( X, vmul( Y, Z ) ) }.
% 0.71/1.11  { vmul( X, vplus( Y, Z ) ) = vplus( vmul( X, Y ), vmul( X, Z ) ) }.
% 0.71/1.11  { vmul( X, Y ) = vmul( Y, X ) }.
% 0.71/1.11  { vmul( vsucc( X ), Y ) = vplus( vmul( X, Y ), Y ) }.
% 0.71/1.11  { vmul( v1, X ) = X }.
% 0.71/1.11  { vmul( X, vsucc( Y ) ) = vplus( vmul( X, Y ), X ) }.
% 0.71/1.11  { vmul( X, v1 ) = X }.
% 0.71/1.11  { ! less( X, vplus( Y, v1 ) ), leq( X, Y ) }.
% 0.71/1.11  { ! greater( X, Y ), geq( X, vplus( Y, v1 ) ) }.
% 0.71/1.11  { geq( X, v1 ) }.
% 0.71/1.11  { ! geq( Z, T ), ! geq( X, Y ), geq( vplus( X, Z ), vplus( Y, T ) ) }.
% 0.71/1.11  { ! less( X, Y ), greater( Y, X ) }.
% 0.71/1.11  { ! greater( X, Y ), less( Y, X ) }.
% 0.71/1.11  { X = Y, greater( X, Y ), less( X, Y ) }.
% 0.71/1.11  { ! X = Y, ! less( X, Y ) }.
% 0.71/1.11  { ! greater( X, Y ), ! less( X, Y ) }.
% 0.71/1.11  { ! X = Y, ! greater( X, Y ) }.
% 0.71/1.11  { ! less( Y, X ), X = vplus( Y, skol1( X, Y ) ) }.
% 0.71/1.11  { ! X = vplus( Y, Z ), less( Y, X ) }.
% 0.71/1.11  { ! greater( Y, X ), Y = vplus( X, skol2( X, Y ) ) }.
% 0.71/1.11  { ! Y = vplus( X, Z ), greater( Y, X ) }.
% 0.71/1.11  { X = Y, X = vplus( Y, skol3( X, Y ) ), Y = vplus( X, skol4( X, Y ) ) }.
% 0.71/1.11  { ! X = Y, ! Y = vplus( X, Z ) }.
% 0.71/1.11  { ! X = vplus( Y, Z ), ! Y = vplus( X, T ) }.
% 0.71/1.11  { ! X = Y, ! X = vplus( Y, Z ) }.
% 0.71/1.11  { X = Y, ! vplus( Z, X ) = vplus( Z, Y ) }.
% 0.71/1.11  { ! Y = vplus( X, Y ) }.
% 0.71/1.11  { vplus( Y, X ) = vplus( X, Y ) }.
% 0.71/1.11  { vplus( vsucc( X ), Y ) = vsucc( vplus( X, Y ) ) }.
% 0.71/1.11  { vplus( v1, X ) = vsucc( X ) }.
% 0.71/1.11  { vplus( vplus( X, Y ), Z ) = vplus( X, vplus( Y, Z ) ) }.
% 0.71/1.11  { vplus( X, vsucc( Y ) ) = vsucc( vplus( X, Y ) ) }.
% 0.71/1.11  { vplus( X, v1 ) = vsucc( X ) }.
% 0.71/1.11  { X = v1, X = vsucc( vskolem2( X ) ) }.
% 0.71/1.11  { ! vsucc( X ) = X }.
% 0.71/1.11  { X = Y, ! vsucc( X ) = vsucc( Y ) }.
% 0.71/1.11  
% 0.71/1.11  percentage equality = 0.582090, percentage horn = 0.926829
% 0.71/1.11  This is a problem with some equality
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  Options Used:
% 0.71/1.11  
% 0.71/1.11  useres =            1
% 0.71/1.11  useparamod =        1
% 0.71/1.11  useeqrefl =         1
% 0.71/1.11  useeqfact =         1
% 0.71/1.11  usefactor =         1
% 0.71/1.11  usesimpsplitting =  0
% 0.71/1.11  usesimpdemod =      5
% 0.71/1.11  usesimpres =        3
% 0.71/1.11  
% 0.71/1.11  resimpinuse      =  1000
% 0.71/1.11  resimpclauses =     20000
% 0.71/1.11  substype =          eqrewr
% 0.71/1.11  backwardsubs =      1
% 0.71/1.11  selectoldest =      5
% 0.71/1.11  
% 0.71/1.11  litorderings [0] =  split
% 0.71/1.11  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.71/1.11  
% 0.71/1.11  termordering =      kbo
% 0.71/1.11  
% 0.71/1.11  litapriori =        0
% 0.71/1.11  termapriori =       1
% 0.71/1.11  litaposteriori =    0
% 0.71/1.11  termaposteriori =   0
% 0.71/1.11  demodaposteriori =  0
% 0.71/1.11  ordereqreflfact =   0
% 0.71/1.11  
% 0.71/1.11  litselect =         negord
% 0.71/1.11  
% 0.71/1.11  maxweight =         15
% 0.71/1.11  maxdepth =          30000
% 0.71/1.11  maxlength =         115
% 0.71/1.11  maxnrvars =         195
% 0.71/1.11  excuselevel =       1
% 0.71/1.11  increasemaxweight = 1
% 0.71/1.11  
% 0.71/1.11  maxselected =       10000000
% 0.71/1.11  maxnrclauses =      10000000
% 0.71/1.11  
% 0.71/1.11  showgenerated =    0
% 0.71/1.11  showkept =         0
% 0.71/1.11  showselected =     0
% 0.71/1.11  showdeleted =      0
% 0.71/1.11  showresimp =       1
% 0.71/1.11  showstatus =       2000
% 0.71/1.11  
% 0.71/1.11  prologoutput =     0
% 0.71/1.11  nrgoals =          5000000
% 0.71/1.11  totalproof =       1
% 0.71/1.11  
% 0.71/1.11  Symbols occurring in the translation:
% 0.71/1.11  
% 0.71/1.11  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.71/1.11  .  [1, 2]      (w:1, o:81, a:1, s:1, b:0), 
% 0.71/1.11  !  [4, 1]      (w:0, o:74, a:1, s:1, b:0), 
% 0.71/1.11  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.71/1.11  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.71/1.11  vd486  [35, 0]      (w:1, o:6, a:1, s:1, b:0), 
% 0.71/1.11  vd488  [36, 0]      (w:1, o:8, a:1, s:1, b:0), 
% 0.71/1.11  greater  [37, 2]      (w:1, o:105, a:1, s:1, b:0), 
% 0.71/1.11  vd487  [38, 0]      (w:1, o:7, a:1, s:1, b:0), 
% 0.71/1.11  vmul  [39, 2]      (w:1, o:106, a:1, s:1, b:0), 
% 0.71/1.11  less  [43, 2]      (w:1, o:107, a:1, s:1, b:0), 
% 0.71/1.11  vplus  [54, 2]      (w:1, o:108, a:1, s:1, b:0), 
% 0.71/1.11  vsucc  [59, 1]      (w:1, o:79, a:1, s:1, b:0), 
% 0.71/1.11  v1  [61, 0]      (w:1, o:61, a:1, s:1, b:0), 
% 0.71/1.11  leq  [66, 2]      (w:1, o:109, a:1, s:1, b:0), 
% 0.71/1.11  geq  [69, 2]      (w:1, o:110, a:1, s:1, b:0), 
% 0.71/1.11  vskolem2  [107, 1]      (w:1, o:80, a:1, s:1, b:0), 
% 0.71/1.11  skol1  [111, 2]      (w:1, o:111, a:1, s:1, b:1), 
% 0.71/1.11  skol2  [112, 2]      (w:1, o:112, a:1, s:1, b:1), 
% 0.71/1.11  skol3  [113, 2]      (w:1, o:113, a:1, s:1, b:1), 
% 0.71/1.11  skol4  [114, 2]      (w:1, o:114, a:1, s:1, b:1).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  Starting Search:
% 0.71/1.11  
% 0.71/1.11  *** allocated 15000 integers for clauses
% 0.71/1.11  *** allocated 22500 integers for clauses
% 0.71/1.11  *** allocated 33750 integers for clauses
% 0.71/1.11  *** allocated 50625 integers for clauses
% 0.71/1.11  *** allocated 15000 integers for termspace/termends
% 0.71/1.11  *** allocated 75937 integers for clauses
% 0.71/1.11  *** allocated 22500 integers for termspace/termends
% 0.71/1.11  
% 0.71/1.11  Bliksems!, er is een bewijs:
% 0.71/1.11  % SZS status Theorem
% 0.71/1.11  % SZS output start Refutation
% 0.71/1.11  
% 0.71/1.11  (0) {G0,W3,D2,L1,V0,M1} I { ! greater( vd486, vd488 ) }.
% 0.71/1.11  (1) {G0,W7,D3,L1,V0,M1} I { greater( vmul( vd486, vd487 ), vmul( vd488, 
% 0.71/1.11    vd487 ) ) }.
% 0.71/1.11  (2) {G0,W10,D3,L2,V3,M2} I { ! less( X, Y ), less( vmul( X, Z ), vmul( Y, Z
% 0.71/1.11     ) ) }.
% 0.71/1.11  (16) {G0,W6,D2,L2,V2,M2} I { ! less( X, Y ), greater( Y, X ) }.
% 0.71/1.11  (17) {G0,W6,D2,L2,V2,M2} I { ! greater( X, Y ), less( Y, X ) }.
% 0.71/1.11  (18) {G0,W9,D2,L3,V2,M3} I { X = Y, greater( X, Y ), less( X, Y ) }.
% 0.71/1.11  (20) {G0,W6,D2,L2,V2,M2} I { ! greater( X, Y ), ! less( X, Y ) }.
% 0.71/1.11  (21) {G0,W6,D2,L2,V2,M2} I { ! X = Y, ! greater( X, Y ) }.
% 0.71/1.11  (29) {G0,W10,D3,L2,V3,M2} I { X = Y, ! vplus( Z, X ) = vplus( Z, Y ) }.
% 0.71/1.11  (42) {G1,W3,D2,L1,V1,M1} Q(21) { ! greater( X, X ) }.
% 0.71/1.11  (101) {G1,W3,D2,L1,V0,M1} R(16,0) { ! less( vd488, vd486 ) }.
% 0.71/1.11  (267) {G2,W6,D2,L2,V0,M2} R(18,101) { vd488 ==> vd486, greater( vd488, 
% 0.71/1.11    vd486 ) }.
% 0.71/1.11  (457) {G3,W3,D2,L1,V0,M1} P(267,1);r(42) { greater( vd488, vd486 ) }.
% 0.71/1.11  (458) {G4,W3,D2,L1,V0,M1} R(457,17) { less( vd486, vd488 ) }.
% 0.71/1.11  (467) {G5,W7,D3,L1,V1,M1} R(458,2) { less( vmul( vd486, X ), vmul( vd488, X
% 0.71/1.11     ) ) }.
% 0.71/1.11  (802) {G6,W7,D3,L1,V1,M1} R(467,20) { ! greater( vmul( vd486, X ), vmul( 
% 0.71/1.11    vd488, X ) ) }.
% 0.71/1.11  (1191) {G1,W14,D3,L2,V2,M2} P(29,1) { greater( vmul( vd486, vd487 ), vmul( 
% 0.71/1.11    X, vd487 ) ), ! vplus( Y, vd488 ) = vplus( Y, X ) }.
% 0.71/1.11  (1193) {G7,W0,D0,L0,V0,M0} Q(1191);r(802) {  }.
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  % SZS output end Refutation
% 0.71/1.11  found a proof!
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  Unprocessed initial clauses:
% 0.71/1.11  
% 0.71/1.11  (1195) {G0,W3,D2,L1,V0,M1}  { ! greater( vd486, vd488 ) }.
% 0.71/1.11  (1196) {G0,W7,D3,L1,V0,M1}  { greater( vmul( vd486, vd487 ), vmul( vd488, 
% 0.71/1.11    vd487 ) ) }.
% 0.71/1.11  (1197) {G0,W10,D3,L2,V3,M2}  { ! less( X, Y ), less( vmul( X, Z ), vmul( Y
% 0.71/1.11    , Z ) ) }.
% 0.71/1.11  (1198) {G0,W10,D3,L2,V3,M2}  { ! X = Y, vmul( X, Z ) = vmul( Y, Z ) }.
% 0.71/1.11  (1199) {G0,W10,D3,L2,V3,M2}  { ! greater( X, Y ), greater( vmul( X, Z ), 
% 0.71/1.11    vmul( Y, Z ) ) }.
% 0.71/1.11  (1200) {G0,W11,D4,L1,V3,M1}  { vmul( vmul( X, Y ), Z ) = vmul( X, vmul( Y, 
% 0.71/1.11    Z ) ) }.
% 0.71/1.11  (1201) {G0,W13,D4,L1,V3,M1}  { vmul( X, vplus( Y, Z ) ) = vplus( vmul( X, Y
% 0.71/1.11     ), vmul( X, Z ) ) }.
% 0.71/1.11  (1202) {G0,W7,D3,L1,V2,M1}  { vmul( X, Y ) = vmul( Y, X ) }.
% 0.71/1.11  (1203) {G0,W10,D4,L1,V2,M1}  { vmul( vsucc( X ), Y ) = vplus( vmul( X, Y )
% 0.71/1.11    , Y ) }.
% 0.71/1.11  (1204) {G0,W5,D3,L1,V1,M1}  { vmul( v1, X ) = X }.
% 0.71/1.11  (1205) {G0,W10,D4,L1,V2,M1}  { vmul( X, vsucc( Y ) ) = vplus( vmul( X, Y )
% 0.71/1.11    , X ) }.
% 0.71/1.11  (1206) {G0,W5,D3,L1,V1,M1}  { vmul( X, v1 ) = X }.
% 0.71/1.11  (1207) {G0,W8,D3,L2,V2,M2}  { ! less( X, vplus( Y, v1 ) ), leq( X, Y ) }.
% 0.71/1.11  (1208) {G0,W8,D3,L2,V2,M2}  { ! greater( X, Y ), geq( X, vplus( Y, v1 ) )
% 0.71/1.11     }.
% 0.71/1.11  (1209) {G0,W3,D2,L1,V1,M1}  { geq( X, v1 ) }.
% 0.71/1.11  (1210) {G0,W13,D3,L3,V4,M3}  { ! geq( Z, T ), ! geq( X, Y ), geq( vplus( X
% 0.71/1.11    , Z ), vplus( Y, T ) ) }.
% 0.71/1.11  (1211) {G0,W6,D2,L2,V2,M2}  { ! less( X, Y ), greater( Y, X ) }.
% 0.71/1.11  (1212) {G0,W6,D2,L2,V2,M2}  { ! greater( X, Y ), less( Y, X ) }.
% 0.71/1.11  (1213) {G0,W9,D2,L3,V2,M3}  { X = Y, greater( X, Y ), less( X, Y ) }.
% 0.71/1.11  (1214) {G0,W6,D2,L2,V2,M2}  { ! X = Y, ! less( X, Y ) }.
% 0.71/1.11  (1215) {G0,W6,D2,L2,V2,M2}  { ! greater( X, Y ), ! less( X, Y ) }.
% 0.71/1.11  (1216) {G0,W6,D2,L2,V2,M2}  { ! X = Y, ! greater( X, Y ) }.
% 0.71/1.11  (1217) {G0,W10,D4,L2,V2,M2}  { ! less( Y, X ), X = vplus( Y, skol1( X, Y )
% 0.71/1.11     ) }.
% 0.71/1.11  (1218) {G0,W8,D3,L2,V3,M2}  { ! X = vplus( Y, Z ), less( Y, X ) }.
% 0.71/1.11  (1219) {G0,W10,D4,L2,V2,M2}  { ! greater( Y, X ), Y = vplus( X, skol2( X, Y
% 0.71/1.11     ) ) }.
% 0.71/1.11  (1220) {G0,W8,D3,L2,V3,M2}  { ! Y = vplus( X, Z ), greater( Y, X ) }.
% 0.71/1.11  (1221) {G0,W17,D4,L3,V2,M3}  { X = Y, X = vplus( Y, skol3( X, Y ) ), Y = 
% 0.71/1.11    vplus( X, skol4( X, Y ) ) }.
% 0.71/1.11  (1222) {G0,W8,D3,L2,V3,M2}  { ! X = Y, ! Y = vplus( X, Z ) }.
% 0.71/1.11  (1223) {G0,W10,D3,L2,V4,M2}  { ! X = vplus( Y, Z ), ! Y = vplus( X, T ) }.
% 0.71/1.11  (1224) {G0,W8,D3,L2,V3,M2}  { ! X = Y, ! X = vplus( Y, Z ) }.
% 0.71/1.11  (1225) {G0,W10,D3,L2,V3,M2}  { X = Y, ! vplus( Z, X ) = vplus( Z, Y ) }.
% 0.71/1.11  (1226) {G0,W5,D3,L1,V2,M1}  { ! Y = vplus( X, Y ) }.
% 0.71/1.11  (1227) {G0,W7,D3,L1,V2,M1}  { vplus( Y, X ) = vplus( X, Y ) }.
% 0.71/1.11  (1228) {G0,W9,D4,L1,V2,M1}  { vplus( vsucc( X ), Y ) = vsucc( vplus( X, Y )
% 0.71/1.11     ) }.
% 0.71/1.11  (1229) {G0,W6,D3,L1,V1,M1}  { vplus( v1, X ) = vsucc( X ) }.
% 0.71/1.11  (1230) {G0,W11,D4,L1,V3,M1}  { vplus( vplus( X, Y ), Z ) = vplus( X, vplus
% 0.71/1.11    ( Y, Z ) ) }.
% 0.71/1.11  (1231) {G0,W9,D4,L1,V2,M1}  { vplus( X, vsucc( Y ) ) = vsucc( vplus( X, Y )
% 0.71/1.11     ) }.
% 0.71/1.11  (1232) {G0,W6,D3,L1,V1,M1}  { vplus( X, v1 ) = vsucc( X ) }.
% 0.71/1.11  (1233) {G0,W8,D4,L2,V1,M2}  { X = v1, X = vsucc( vskolem2( X ) ) }.
% 0.71/1.11  (1234) {G0,W4,D3,L1,V1,M1}  { ! vsucc( X ) = X }.
% 0.71/1.11  (1235) {G0,W8,D3,L2,V2,M2}  { X = Y, ! vsucc( X ) = vsucc( Y ) }.
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  Total Proof:
% 0.71/1.11  
% 0.71/1.11  subsumption: (0) {G0,W3,D2,L1,V0,M1} I { ! greater( vd486, vd488 ) }.
% 0.71/1.11  parent0: (1195) {G0,W3,D2,L1,V0,M1}  { ! greater( vd486, vd488 ) }.
% 0.71/1.11  substitution0:
% 0.71/1.11  end
% 0.71/1.11  permutation0:
% 0.71/1.11     0 ==> 0
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  subsumption: (1) {G0,W7,D3,L1,V0,M1} I { greater( vmul( vd486, vd487 ), 
% 0.71/1.11    vmul( vd488, vd487 ) ) }.
% 0.71/1.11  parent0: (1196) {G0,W7,D3,L1,V0,M1}  { greater( vmul( vd486, vd487 ), vmul
% 0.71/1.11    ( vd488, vd487 ) ) }.
% 0.71/1.11  substitution0:
% 0.71/1.11  end
% 0.71/1.11  permutation0:
% 0.71/1.11     0 ==> 0
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  subsumption: (2) {G0,W10,D3,L2,V3,M2} I { ! less( X, Y ), less( vmul( X, Z
% 0.71/1.11     ), vmul( Y, Z ) ) }.
% 0.71/1.11  parent0: (1197) {G0,W10,D3,L2,V3,M2}  { ! less( X, Y ), less( vmul( X, Z )
% 0.71/1.11    , vmul( Y, Z ) ) }.
% 0.71/1.11  substitution0:
% 0.71/1.11     X := X
% 0.71/1.11     Y := Y
% 0.71/1.11     Z := Z
% 0.71/1.11  end
% 0.71/1.11  permutation0:
% 0.71/1.11     0 ==> 0
% 0.71/1.11     1 ==> 1
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  subsumption: (16) {G0,W6,D2,L2,V2,M2} I { ! less( X, Y ), greater( Y, X )
% 0.71/1.11     }.
% 0.71/1.11  parent0: (1211) {G0,W6,D2,L2,V2,M2}  { ! less( X, Y ), greater( Y, X ) }.
% 0.71/1.11  substitution0:
% 0.71/1.11     X := X
% 0.71/1.11     Y := Y
% 0.71/1.11  end
% 0.71/1.11  permutation0:
% 0.71/1.11     0 ==> 0
% 0.71/1.11     1 ==> 1
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  subsumption: (17) {G0,W6,D2,L2,V2,M2} I { ! greater( X, Y ), less( Y, X )
% 0.71/1.11     }.
% 0.71/1.11  parent0: (1212) {G0,W6,D2,L2,V2,M2}  { ! greater( X, Y ), less( Y, X ) }.
% 0.71/1.11  substitution0:
% 0.71/1.11     X := X
% 0.71/1.11     Y := Y
% 0.71/1.11  end
% 0.71/1.11  permutation0:
% 0.71/1.11     0 ==> 0
% 0.71/1.11     1 ==> 1
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  subsumption: (18) {G0,W9,D2,L3,V2,M3} I { X = Y, greater( X, Y ), less( X, 
% 0.71/1.11    Y ) }.
% 0.71/1.11  parent0: (1213) {G0,W9,D2,L3,V2,M3}  { X = Y, greater( X, Y ), less( X, Y )
% 0.71/1.11     }.
% 0.71/1.11  substitution0:
% 0.71/1.11     X := X
% 0.71/1.11     Y := Y
% 0.71/1.11  end
% 0.71/1.11  permutation0:
% 0.71/1.11     0 ==> 0
% 0.71/1.11     1 ==> 1
% 0.71/1.11     2 ==> 2
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  subsumption: (20) {G0,W6,D2,L2,V2,M2} I { ! greater( X, Y ), ! less( X, Y )
% 0.71/1.11     }.
% 0.71/1.11  parent0: (1215) {G0,W6,D2,L2,V2,M2}  { ! greater( X, Y ), ! less( X, Y )
% 0.71/1.11     }.
% 0.71/1.11  substitution0:
% 0.71/1.11     X := X
% 0.71/1.11     Y := Y
% 0.71/1.11  end
% 0.71/1.11  permutation0:
% 0.71/1.11     0 ==> 0
% 0.71/1.11     1 ==> 1
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  subsumption: (21) {G0,W6,D2,L2,V2,M2} I { ! X = Y, ! greater( X, Y ) }.
% 0.71/1.11  parent0: (1216) {G0,W6,D2,L2,V2,M2}  { ! X = Y, ! greater( X, Y ) }.
% 0.71/1.11  substitution0:
% 0.71/1.11     X := X
% 0.71/1.11     Y := Y
% 0.71/1.11  end
% 0.71/1.11  permutation0:
% 0.71/1.11     0 ==> 0
% 0.71/1.11     1 ==> 1
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  subsumption: (29) {G0,W10,D3,L2,V3,M2} I { X = Y, ! vplus( Z, X ) = vplus( 
% 0.71/1.11    Z, Y ) }.
% 0.71/1.11  parent0: (1225) {G0,W10,D3,L2,V3,M2}  { X = Y, ! vplus( Z, X ) = vplus( Z, 
% 0.71/1.11    Y ) }.
% 0.71/1.11  substitution0:
% 0.71/1.11     X := X
% 0.71/1.11     Y := Y
% 0.71/1.11     Z := Z
% 0.71/1.11  end
% 0.71/1.11  permutation0:
% 0.71/1.11     0 ==> 0
% 0.71/1.11     1 ==> 1
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  eqswap: (1315) {G0,W6,D2,L2,V2,M2}  { ! Y = X, ! greater( X, Y ) }.
% 0.71/1.11  parent0[0]: (21) {G0,W6,D2,L2,V2,M2} I { ! X = Y, ! greater( X, Y ) }.
% 0.71/1.11  substitution0:
% 0.71/1.11     X := X
% 0.71/1.11     Y := Y
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  eqrefl: (1316) {G0,W3,D2,L1,V1,M1}  { ! greater( X, X ) }.
% 0.71/1.11  parent0[0]: (1315) {G0,W6,D2,L2,V2,M2}  { ! Y = X, ! greater( X, Y ) }.
% 0.71/1.11  substitution0:
% 0.71/1.11     X := X
% 0.71/1.11     Y := X
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  subsumption: (42) {G1,W3,D2,L1,V1,M1} Q(21) { ! greater( X, X ) }.
% 0.71/1.11  parent0: (1316) {G0,W3,D2,L1,V1,M1}  { ! greater( X, X ) }.
% 0.71/1.11  substitution0:
% 0.71/1.11     X := X
% 0.71/1.11  end
% 0.71/1.11  permutation0:
% 0.71/1.11     0 ==> 0
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  resolution: (1317) {G1,W3,D2,L1,V0,M1}  { ! less( vd488, vd486 ) }.
% 0.71/1.11  parent0[0]: (0) {G0,W3,D2,L1,V0,M1} I { ! greater( vd486, vd488 ) }.
% 0.71/1.11  parent1[1]: (16) {G0,W6,D2,L2,V2,M2} I { ! less( X, Y ), greater( Y, X )
% 0.71/1.11     }.
% 0.71/1.11  substitution0:
% 0.71/1.11  end
% 0.71/1.11  substitution1:
% 0.71/1.11     X := vd488
% 0.71/1.11     Y := vd486
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  subsumption: (101) {G1,W3,D2,L1,V0,M1} R(16,0) { ! less( vd488, vd486 ) }.
% 0.71/1.11  parent0: (1317) {G1,W3,D2,L1,V0,M1}  { ! less( vd488, vd486 ) }.
% 0.71/1.11  substitution0:
% 0.71/1.11  end
% 0.71/1.11  permutation0:
% 0.71/1.11     0 ==> 0
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  eqswap: (1318) {G0,W9,D2,L3,V2,M3}  { Y = X, greater( X, Y ), less( X, Y )
% 0.71/1.11     }.
% 0.71/1.11  parent0[0]: (18) {G0,W9,D2,L3,V2,M3} I { X = Y, greater( X, Y ), less( X, Y
% 0.71/1.11     ) }.
% 0.71/1.11  substitution0:
% 0.71/1.11     X := X
% 0.71/1.11     Y := Y
% 1.76/2.21  end
% 1.76/2.21  
% 1.76/2.21  resolution: (1319) {G1,W6,D2,L2,V0,M2}  { vd486 = vd488, greater( vd488, 
% 1.76/2.21    vd486 ) }.
% 1.76/2.21  parent0[0]: (101) {G1,W3,D2,L1,V0,M1} R(16,0) { ! less( vd488, vd486 ) }.
% 1.76/2.21  parent1[2]: (1318) {G0,W9,D2,L3,V2,M3}  { Y = X, greater( X, Y ), less( X, 
% 1.76/2.21    Y ) }.
% 1.76/2.21  substitution0:
% 1.76/2.21  end
% 1.76/2.21  substitution1:
% 1.76/2.21     X := vd488
% 1.76/2.21     Y := vd486
% 1.76/2.21  end
% 1.76/2.21  
% 1.76/2.21  eqswap: (1320) {G1,W6,D2,L2,V0,M2}  { vd488 = vd486, greater( vd488, vd486
% 1.76/2.21     ) }.
% 1.76/2.21  parent0[0]: (1319) {G1,W6,D2,L2,V0,M2}  { vd486 = vd488, greater( vd488, 
% 1.76/2.21    vd486 ) }.
% 1.76/2.21  substitution0:
% 1.76/2.21  end
% 1.76/2.21  
% 1.76/2.21  subsumption: (267) {G2,W6,D2,L2,V0,M2} R(18,101) { vd488 ==> vd486, greater
% 1.76/2.21    ( vd488, vd486 ) }.
% 1.76/2.21  parent0: (1320) {G1,W6,D2,L2,V0,M2}  { vd488 = vd486, greater( vd488, vd486
% 1.76/2.21     ) }.
% 1.76/2.21  substitution0:
% 1.76/2.21  end
% 1.76/2.21  permutation0:
% 1.76/2.21     0 ==> 0
% 1.76/2.21     1 ==> 1
% 1.76/2.21  end
% 1.76/2.21  
% 1.76/2.21  paramod: (1322) {G1,W10,D3,L2,V0,M2}  { greater( vmul( vd486, vd487 ), vmul
% 1.76/2.21    ( vd486, vd487 ) ), greater( vd488, vd486 ) }.
% 1.76/2.21  parent0[0]: (267) {G2,W6,D2,L2,V0,M2} R(18,101) { vd488 ==> vd486, greater
% 1.76/2.21    ( vd488, vd486 ) }.
% 1.76/2.21  parent1[0; 5]: (1) {G0,W7,D3,L1,V0,M1} I { greater( vmul( vd486, vd487 ), 
% 1.85/2.21    vmul( vd488, vd487 ) ) }.
% 1.85/2.21  substitution0:
% 1.85/2.21  end
% 1.85/2.21  substitution1:
% 1.85/2.21  end
% 1.85/2.21  
% 1.85/2.21  resolution: (1333) {G2,W3,D2,L1,V0,M1}  { greater( vd488, vd486 ) }.
% 1.85/2.21  parent0[0]: (42) {G1,W3,D2,L1,V1,M1} Q(21) { ! greater( X, X ) }.
% 1.85/2.21  parent1[0]: (1322) {G1,W10,D3,L2,V0,M2}  { greater( vmul( vd486, vd487 ), 
% 1.85/2.21    vmul( vd486, vd487 ) ), greater( vd488, vd486 ) }.
% 1.85/2.21  substitution0:
% 1.85/2.21     X := vmul( vd486, vd487 )
% 1.85/2.21  end
% 1.85/2.21  substitution1:
% 1.85/2.21  end
% 1.85/2.21  
% 1.85/2.21  subsumption: (457) {G3,W3,D2,L1,V0,M1} P(267,1);r(42) { greater( vd488, 
% 1.85/2.21    vd486 ) }.
% 1.85/2.21  parent0: (1333) {G2,W3,D2,L1,V0,M1}  { greater( vd488, vd486 ) }.
% 1.85/2.21  substitution0:
% 1.85/2.21  end
% 1.85/2.21  permutation0:
% 1.85/2.21     0 ==> 0
% 1.85/2.21  end
% 1.85/2.21  
% 1.85/2.21  resolution: (1334) {G1,W3,D2,L1,V0,M1}  { less( vd486, vd488 ) }.
% 1.85/2.21  parent0[0]: (17) {G0,W6,D2,L2,V2,M2} I { ! greater( X, Y ), less( Y, X )
% 1.85/2.21     }.
% 1.85/2.21  parent1[0]: (457) {G3,W3,D2,L1,V0,M1} P(267,1);r(42) { greater( vd488, 
% 1.85/2.21    vd486 ) }.
% 1.85/2.21  substitution0:
% 1.85/2.21     X := vd488
% 1.85/2.21     Y := vd486
% 1.85/2.21  end
% 1.85/2.21  substitution1:
% 1.85/2.21  end
% 1.85/2.21  
% 1.85/2.21  subsumption: (458) {G4,W3,D2,L1,V0,M1} R(457,17) { less( vd486, vd488 ) }.
% 1.85/2.21  parent0: (1334) {G1,W3,D2,L1,V0,M1}  { less( vd486, vd488 ) }.
% 1.85/2.21  substitution0:
% 1.85/2.21  end
% 1.85/2.21  permutation0:
% 1.85/2.21     0 ==> 0
% 1.85/2.21  end
% 1.85/2.21  
% 1.85/2.21  resolution: (1335) {G1,W7,D3,L1,V1,M1}  { less( vmul( vd486, X ), vmul( 
% 1.85/2.21    vd488, X ) ) }.
% 1.85/2.21  parent0[0]: (2) {G0,W10,D3,L2,V3,M2} I { ! less( X, Y ), less( vmul( X, Z )
% 1.85/2.21    , vmul( Y, Z ) ) }.
% 1.85/2.21  parent1[0]: (458) {G4,W3,D2,L1,V0,M1} R(457,17) { less( vd486, vd488 ) }.
% 1.85/2.21  substitution0:
% 1.85/2.21     X := vd486
% 1.85/2.21     Y := vd488
% 1.85/2.21     Z := X
% 1.85/2.21  end
% 1.85/2.21  substitution1:
% 1.85/2.21  end
% 1.85/2.21  
% 1.85/2.21  subsumption: (467) {G5,W7,D3,L1,V1,M1} R(458,2) { less( vmul( vd486, X ), 
% 1.85/2.21    vmul( vd488, X ) ) }.
% 1.85/2.21  parent0: (1335) {G1,W7,D3,L1,V1,M1}  { less( vmul( vd486, X ), vmul( vd488
% 1.85/2.21    , X ) ) }.
% 1.85/2.21  substitution0:
% 1.85/2.21     X := X
% 1.85/2.21  end
% 1.85/2.21  permutation0:
% 1.85/2.21     0 ==> 0
% 1.85/2.21  end
% 1.85/2.21  
% 1.85/2.21  resolution: (1336) {G1,W7,D3,L1,V1,M1}  { ! greater( vmul( vd486, X ), vmul
% 1.85/2.21    ( vd488, X ) ) }.
% 1.85/2.21  parent0[1]: (20) {G0,W6,D2,L2,V2,M2} I { ! greater( X, Y ), ! less( X, Y )
% 1.85/2.21     }.
% 1.85/2.21  parent1[0]: (467) {G5,W7,D3,L1,V1,M1} R(458,2) { less( vmul( vd486, X ), 
% 1.85/2.21    vmul( vd488, X ) ) }.
% 1.85/2.21  substitution0:
% 1.85/2.21     X := vmul( vd486, X )
% 1.85/2.21     Y := vmul( vd488, X )
% 1.85/2.21  end
% 1.85/2.21  substitution1:
% 1.85/2.21     X := X
% 1.85/2.21  end
% 1.85/2.21  
% 1.85/2.21  subsumption: (802) {G6,W7,D3,L1,V1,M1} R(467,20) { ! greater( vmul( vd486, 
% 1.85/2.21    X ), vmul( vd488, X ) ) }.
% 1.85/2.21  parent0: (1336) {G1,W7,D3,L1,V1,M1}  { ! greater( vmul( vd486, X ), vmul( 
% 1.85/2.21    vd488, X ) ) }.
% 1.85/2.21  substitution0:
% 1.85/2.21     X := X
% 1.85/2.21  end
% 1.85/2.21  permutation0:
% 1.85/2.21     0 ==> 0
% 1.85/2.21  end
% 1.85/2.21  
% 1.85/2.21  *** allocated 33750 integers for termspace/termends
% 1.85/2.21  *** allocated 15000 integers for justifications
% 1.85/2.21  *** allocated 113905 integers for clauses
% 1.85/2.21  *** allocated 22500 integers for justifications
% 1.85/2.21  *** allocated 50625 integers for termspace/termends
% 1.85/2.21  *** allocated 33750 integers for justifications
% 1.85/2.21  *** allocated 75937 integers for termspace/termends
% 1.85/2.21  *** allocated 50625 integers for justifications
% 1.85/2.21  *** allocated 75937 integers for justifications
% 1.85/2.21  *** allocated 113905 integers for termspace/termends
% 1.85/2.21  *** allocated 113905 integers for justifications
% 1.85/2.21  *** allocated 170857 integers for clauses
% 1.85/2.21  *** allocated 170857 integers for termspace/termends
% 1.85/2.21  *** allocated 170857 integers for justifications
% 1.85/2.21  *** allocated 256285 integers for termspace/termends
% 1.85/2.21  *** allCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------