TSTP Solution File: NUM839+2 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : NUM839+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n026.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 06:26:56 EDT 2022

% Result   : Theorem 0.72s 1.21s
% Output   : Refutation 0.72s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM839+2 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n026.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 : Thu Jul  7 10:14:24 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.72/1.21  *** allocated 10000 integers for termspace/termends
% 0.72/1.21  *** allocated 10000 integers for clauses
% 0.72/1.21  *** allocated 10000 integers for justifications
% 0.72/1.21  Bliksem 1.12
% 0.72/1.21  
% 0.72/1.21  
% 0.72/1.21  Automatic Strategy Selection
% 0.72/1.21  
% 0.72/1.21  
% 0.72/1.21  Clauses:
% 0.72/1.21  
% 0.72/1.21  { ! greater( vd328, vd329 ) }.
% 0.72/1.21  { greater( vplus( vd328, vd330 ), vplus( vd329, vd330 ) ) }.
% 0.72/1.21  { ! less( X, Y ), less( vplus( X, Z ), vplus( Y, Z ) ) }.
% 0.72/1.21  { ! X = Y, vplus( X, Z ) = vplus( Y, Z ) }.
% 0.72/1.21  { ! greater( X, Y ), greater( vplus( X, Z ), vplus( Y, Z ) ) }.
% 0.72/1.21  { greater( vplus( X, Y ), X ) }.
% 0.72/1.21  { ! leq( Z, Y ), ! leq( X, Z ), leq( X, Y ) }.
% 0.72/1.21  { ! less( Z, Y ), ! leq( X, Z ), less( X, Y ) }.
% 0.72/1.21  { ! leq( Z, Y ), ! less( X, Z ), less( X, Y ) }.
% 0.72/1.21  { ! less( Z, Y ), ! less( X, Z ), less( X, Y ) }.
% 0.72/1.21  { ! leq( X, Y ), geq( Y, X ) }.
% 0.72/1.21  { ! geq( X, Y ), leq( Y, X ) }.
% 0.72/1.21  { ! leq( Y, X ), less( Y, X ), Y = X }.
% 0.72/1.21  { ! less( Y, X ), leq( Y, X ) }.
% 0.72/1.21  { ! Y = X, leq( Y, X ) }.
% 0.72/1.21  { ! geq( Y, X ), greater( Y, X ), Y = X }.
% 0.72/1.21  { ! greater( Y, X ), geq( Y, X ) }.
% 0.72/1.21  { ! Y = X, geq( Y, X ) }.
% 0.72/1.21  { ! less( X, Y ), greater( Y, X ) }.
% 0.72/1.21  { ! greater( X, Y ), less( Y, X ) }.
% 0.72/1.21  { X = Y, greater( X, Y ), less( X, Y ) }.
% 0.72/1.21  { ! X = Y, ! less( X, Y ) }.
% 0.72/1.21  { ! greater( X, Y ), ! less( X, Y ) }.
% 0.72/1.21  { ! X = Y, ! greater( X, Y ) }.
% 0.72/1.21  { ! less( Y, X ), X = vplus( Y, skol1( X, Y ) ) }.
% 0.72/1.21  { ! X = vplus( Y, Z ), less( Y, X ) }.
% 0.72/1.21  { ! greater( Y, X ), Y = vplus( X, skol2( X, Y ) ) }.
% 0.72/1.21  { ! Y = vplus( X, Z ), greater( Y, X ) }.
% 0.72/1.21  { X = Y, X = vplus( Y, skol3( X, Y ) ), Y = vplus( X, skol4( X, Y ) ) }.
% 0.72/1.21  { ! X = Y, ! Y = vplus( X, Z ) }.
% 0.72/1.21  { ! X = vplus( Y, Z ), ! Y = vplus( X, T ) }.
% 0.72/1.21  { ! X = Y, ! X = vplus( Y, Z ) }.
% 0.72/1.21  { X = Y, ! vplus( Z, X ) = vplus( Z, Y ) }.
% 0.72/1.21  { ! Y = vplus( X, Y ) }.
% 0.72/1.21  { vplus( Y, X ) = vplus( X, Y ) }.
% 0.72/1.21  { vplus( vsucc( X ), Y ) = vsucc( vplus( X, Y ) ) }.
% 0.72/1.21  { vplus( v1, X ) = vsucc( X ) }.
% 0.72/1.21  { vplus( vplus( X, Y ), Z ) = vplus( X, vplus( Y, Z ) ) }.
% 0.72/1.21  { vplus( X, vsucc( Y ) ) = vsucc( vplus( X, Y ) ) }.
% 0.72/1.21  { vplus( X, v1 ) = vsucc( X ) }.
% 0.72/1.21  { X = v1, X = vsucc( vskolem2( X ) ) }.
% 0.72/1.21  { ! vsucc( X ) = X }.
% 0.72/1.21  { X = Y, ! vsucc( X ) = vsucc( Y ) }.
% 0.72/1.21  
% 0.72/1.21  percentage equality = 0.433735, percentage horn = 0.883721
% 0.72/1.21  This is a problem with some equality
% 0.72/1.21  
% 0.72/1.21  
% 0.72/1.21  
% 0.72/1.21  Options Used:
% 0.72/1.21  
% 0.72/1.21  useres =            1
% 0.72/1.21  useparamod =        1
% 0.72/1.21  useeqrefl =         1
% 0.72/1.21  useeqfact =         1
% 0.72/1.21  usefactor =         1
% 0.72/1.21  usesimpsplitting =  0
% 0.72/1.21  usesimpdemod =      5
% 0.72/1.21  usesimpres =        3
% 0.72/1.21  
% 0.72/1.21  resimpinuse      =  1000
% 0.72/1.21  resimpclauses =     20000
% 0.72/1.21  substype =          eqrewr
% 0.72/1.21  backwardsubs =      1
% 0.72/1.21  selectoldest =      5
% 0.72/1.21  
% 0.72/1.21  litorderings [0] =  split
% 0.72/1.21  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.72/1.21  
% 0.72/1.21  termordering =      kbo
% 0.72/1.21  
% 0.72/1.21  litapriori =        0
% 0.72/1.21  termapriori =       1
% 0.72/1.21  litaposteriori =    0
% 0.72/1.21  termaposteriori =   0
% 0.72/1.21  demodaposteriori =  0
% 0.72/1.21  ordereqreflfact =   0
% 0.72/1.21  
% 0.72/1.21  litselect =         negord
% 0.72/1.21  
% 0.72/1.21  maxweight =         15
% 0.72/1.21  maxdepth =          30000
% 0.72/1.21  maxlength =         115
% 0.72/1.21  maxnrvars =         195
% 0.72/1.21  excuselevel =       1
% 0.72/1.21  increasemaxweight = 1
% 0.72/1.21  
% 0.72/1.21  maxselected =       10000000
% 0.72/1.21  maxnrclauses =      10000000
% 0.72/1.21  
% 0.72/1.21  showgenerated =    0
% 0.72/1.21  showkept =         0
% 0.72/1.21  showselected =     0
% 0.72/1.21  showdeleted =      0
% 0.72/1.21  showresimp =       1
% 0.72/1.21  showstatus =       2000
% 0.72/1.21  
% 0.72/1.21  prologoutput =     0
% 0.72/1.21  nrgoals =          5000000
% 0.72/1.21  totalproof =       1
% 0.72/1.21  
% 0.72/1.21  Symbols occurring in the translation:
% 0.72/1.21  
% 0.72/1.21  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.72/1.21  .  [1, 2]      (w:1, o:74, a:1, s:1, b:0), 
% 0.72/1.21  !  [4, 1]      (w:0, o:67, a:1, s:1, b:0), 
% 0.72/1.21  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.72/1.21  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.72/1.21  vd328  [35, 0]      (w:1, o:6, a:1, s:1, b:0), 
% 0.72/1.21  vd329  [36, 0]      (w:1, o:7, a:1, s:1, b:0), 
% 0.72/1.21  greater  [37, 2]      (w:1, o:98, a:1, s:1, b:0), 
% 0.72/1.21  vd330  [38, 0]      (w:1, o:8, a:1, s:1, b:0), 
% 0.72/1.21  vplus  [39, 2]      (w:1, o:99, a:1, s:1, b:0), 
% 0.72/1.21  less  [43, 2]      (w:1, o:100, a:1, s:1, b:0), 
% 0.72/1.21  leq  [49, 2]      (w:1, o:101, a:1, s:1, b:0), 
% 0.72/1.21  geq  [58, 2]      (w:1, o:102, a:1, s:1, b:0), 
% 0.72/1.21  vsucc  [90, 1]      (w:1, o:72, a:1, s:1, b:0), 
% 0.72/1.21  v1  [92, 0]      (w:1, o:66, a:1, s:1, b:0), 
% 0.72/1.21  vskolem2  [99, 1]      (w:1, o:73, a:1, s:1, b:0), 
% 0.72/1.21  skol1  [103, 2]      (w:1, o:103, a:1, s:1, b:1), 
% 0.72/1.21  skol2  [104, 2]      (w:1, o:104, a:1, s:1, b:1), 
% 0.72/1.21  skol3  [105, 2]      (w:1, o:105, a:1, s:1, b:1), 
% 0.72/1.21  skol4  [106, 2]      (w:1, o:106, a:1, s:1, b:1).
% 0.72/1.21  
% 0.72/1.21  
% 0.72/1.21  Starting Search:
% 0.72/1.21  
% 0.72/1.21  *** allocated 15000 integers for clauses
% 0.72/1.21  *** allocated 22500 integers for clauses
% 0.72/1.21  *** allocated 33750 integers for clauses
% 0.72/1.21  *** allocated 50625 integers for clauses
% 0.72/1.21  *** allocated 15000 integers for termspace/termends
% 0.72/1.21  Resimplifying inuse:
% 0.72/1.21  Done
% 0.72/1.21  
% 0.72/1.21  *** allocated 75937 integers for clauses
% 0.72/1.21  *** allocated 22500 integers for termspace/termends
% 0.72/1.21  *** allocated 113905 integers for clauses
% 0.72/1.21  *** allocated 33750 integers for termspace/termends
% 0.72/1.21  
% 0.72/1.21  Intermediate Status:
% 0.72/1.21  Generated:    5033
% 0.72/1.21  Kept:         2060
% 0.72/1.21  Inuse:        131
% 0.72/1.21  Deleted:      0
% 0.72/1.21  Deletedinuse: 0
% 0.72/1.21  
% 0.72/1.21  Resimplifying inuse:
% 0.72/1.21  Done
% 0.72/1.21  
% 0.72/1.21  *** allocated 170857 integers for clauses
% 0.72/1.21  *** allocated 50625 integers for termspace/termends
% 0.72/1.21  
% 0.72/1.21  Bliksems!, er is een bewijs:
% 0.72/1.21  % SZS status Theorem
% 0.72/1.21  % SZS output start Refutation
% 0.72/1.21  
% 0.72/1.21  (0) {G0,W3,D2,L1,V0,M1} I { ! greater( vd328, vd329 ) }.
% 0.72/1.21  (1) {G0,W7,D3,L1,V0,M1} I { greater( vplus( vd328, vd330 ), vplus( vd329, 
% 0.72/1.21    vd330 ) ) }.
% 0.72/1.21  (2) {G0,W10,D3,L2,V3,M2} I { ! less( X, Y ), less( vplus( X, Z ), vplus( Y
% 0.72/1.21    , Z ) ) }.
% 0.72/1.21  (12) {G0,W9,D2,L3,V2,M3} I { ! leq( Y, X ), less( Y, X ), Y = X }.
% 0.72/1.21  (14) {G0,W6,D2,L2,V2,M2} I { ! Y = X, leq( Y, X ) }.
% 0.72/1.21  (20) {G0,W9,D2,L3,V2,M3} I { X = Y, greater( X, Y ), less( X, Y ) }.
% 0.72/1.21  (22) {G0,W6,D2,L2,V2,M2} I { ! greater( X, Y ), ! less( X, Y ) }.
% 0.72/1.21  (23) {G0,W6,D2,L2,V2,M2} I { ! X = Y, ! greater( X, Y ) }.
% 0.72/1.21  (42) {G1,W3,D2,L1,V1,M1} Q(14) { leq( X, X ) }.
% 0.72/1.21  (51) {G1,W7,D3,L1,V0,M1} R(23,1) { ! vplus( vd329, vd330 ) ==> vplus( vd328
% 0.72/1.21    , vd330 ) }.
% 0.72/1.21  (53) {G1,W10,D3,L2,V3,M2} R(22,2) { ! greater( vplus( X, Y ), vplus( Z, Y )
% 0.72/1.21     ), ! less( X, Z ) }.
% 0.72/1.21  (427) {G1,W6,D2,L2,V0,M2} R(20,0) { vd329 ==> vd328, less( vd328, vd329 )
% 0.72/1.21     }.
% 0.72/1.21  (2645) {G2,W13,D3,L3,V1,M3} P(12,51) { ! vplus( X, vd330 ) = vplus( vd328, 
% 0.72/1.21    vd330 ), ! leq( X, vd329 ), less( X, vd329 ) }.
% 0.72/1.21  (2650) {G3,W3,D2,L1,V0,M1} Q(2645);d(427);r(42) { less( vd328, vd329 ) }.
% 0.72/1.21  (2720) {G4,W0,D0,L0,V0,M0} R(53,1);r(2650) {  }.
% 0.72/1.21  
% 0.72/1.21  
% 0.72/1.21  % SZS output end Refutation
% 0.72/1.21  found a proof!
% 0.72/1.21  
% 0.72/1.21  
% 0.72/1.21  Unprocessed initial clauses:
% 0.72/1.21  
% 0.72/1.21  (2722) {G0,W3,D2,L1,V0,M1}  { ! greater( vd328, vd329 ) }.
% 0.72/1.21  (2723) {G0,W7,D3,L1,V0,M1}  { greater( vplus( vd328, vd330 ), vplus( vd329
% 0.72/1.21    , vd330 ) ) }.
% 0.72/1.21  (2724) {G0,W10,D3,L2,V3,M2}  { ! less( X, Y ), less( vplus( X, Z ), vplus( 
% 0.72/1.21    Y, Z ) ) }.
% 0.72/1.21  (2725) {G0,W10,D3,L2,V3,M2}  { ! X = Y, vplus( X, Z ) = vplus( Y, Z ) }.
% 0.72/1.21  (2726) {G0,W10,D3,L2,V3,M2}  { ! greater( X, Y ), greater( vplus( X, Z ), 
% 0.72/1.21    vplus( Y, Z ) ) }.
% 0.72/1.21  (2727) {G0,W5,D3,L1,V2,M1}  { greater( vplus( X, Y ), X ) }.
% 0.72/1.21  (2728) {G0,W9,D2,L3,V3,M3}  { ! leq( Z, Y ), ! leq( X, Z ), leq( X, Y ) }.
% 0.72/1.21  (2729) {G0,W9,D2,L3,V3,M3}  { ! less( Z, Y ), ! leq( X, Z ), less( X, Y )
% 0.72/1.21     }.
% 0.72/1.21  (2730) {G0,W9,D2,L3,V3,M3}  { ! leq( Z, Y ), ! less( X, Z ), less( X, Y )
% 0.72/1.21     }.
% 0.72/1.21  (2731) {G0,W9,D2,L3,V3,M3}  { ! less( Z, Y ), ! less( X, Z ), less( X, Y )
% 0.72/1.21     }.
% 0.72/1.21  (2732) {G0,W6,D2,L2,V2,M2}  { ! leq( X, Y ), geq( Y, X ) }.
% 0.72/1.21  (2733) {G0,W6,D2,L2,V2,M2}  { ! geq( X, Y ), leq( Y, X ) }.
% 0.72/1.21  (2734) {G0,W9,D2,L3,V2,M3}  { ! leq( Y, X ), less( Y, X ), Y = X }.
% 0.72/1.21  (2735) {G0,W6,D2,L2,V2,M2}  { ! less( Y, X ), leq( Y, X ) }.
% 0.72/1.21  (2736) {G0,W6,D2,L2,V2,M2}  { ! Y = X, leq( Y, X ) }.
% 0.72/1.21  (2737) {G0,W9,D2,L3,V2,M3}  { ! geq( Y, X ), greater( Y, X ), Y = X }.
% 0.72/1.21  (2738) {G0,W6,D2,L2,V2,M2}  { ! greater( Y, X ), geq( Y, X ) }.
% 0.72/1.21  (2739) {G0,W6,D2,L2,V2,M2}  { ! Y = X, geq( Y, X ) }.
% 0.72/1.21  (2740) {G0,W6,D2,L2,V2,M2}  { ! less( X, Y ), greater( Y, X ) }.
% 0.72/1.21  (2741) {G0,W6,D2,L2,V2,M2}  { ! greater( X, Y ), less( Y, X ) }.
% 0.72/1.21  (2742) {G0,W9,D2,L3,V2,M3}  { X = Y, greater( X, Y ), less( X, Y ) }.
% 0.72/1.21  (2743) {G0,W6,D2,L2,V2,M2}  { ! X = Y, ! less( X, Y ) }.
% 0.72/1.21  (2744) {G0,W6,D2,L2,V2,M2}  { ! greater( X, Y ), ! less( X, Y ) }.
% 0.72/1.21  (2745) {G0,W6,D2,L2,V2,M2}  { ! X = Y, ! greater( X, Y ) }.
% 0.72/1.21  (2746) {G0,W10,D4,L2,V2,M2}  { ! less( Y, X ), X = vplus( Y, skol1( X, Y )
% 0.72/1.21     ) }.
% 0.72/1.21  (2747) {G0,W8,D3,L2,V3,M2}  { ! X = vplus( Y, Z ), less( Y, X ) }.
% 0.72/1.21  (2748) {G0,W10,D4,L2,V2,M2}  { ! greater( Y, X ), Y = vplus( X, skol2( X, Y
% 0.72/1.21     ) ) }.
% 0.72/1.21  (2749) {G0,W8,D3,L2,V3,M2}  { ! Y = vplus( X, Z ), greater( Y, X ) }.
% 0.72/1.21  (2750) {G0,W17,D4,L3,V2,M3}  { X = Y, X = vplus( Y, skol3( X, Y ) ), Y = 
% 0.72/1.21    vplus( X, skol4( X, Y ) ) }.
% 0.72/1.21  (2751) {G0,W8,D3,L2,V3,M2}  { ! X = Y, ! Y = vplus( X, Z ) }.
% 0.72/1.21  (2752) {G0,W10,D3,L2,V4,M2}  { ! X = vplus( Y, Z ), ! Y = vplus( X, T ) }.
% 0.72/1.21  (2753) {G0,W8,D3,L2,V3,M2}  { ! X = Y, ! X = vplus( Y, Z ) }.
% 0.72/1.21  (2754) {G0,W10,D3,L2,V3,M2}  { X = Y, ! vplus( Z, X ) = vplus( Z, Y ) }.
% 0.72/1.21  (2755) {G0,W5,D3,L1,V2,M1}  { ! Y = vplus( X, Y ) }.
% 0.72/1.21  (2756) {G0,W7,D3,L1,V2,M1}  { vplus( Y, X ) = vplus( X, Y ) }.
% 0.72/1.21  (2757) {G0,W9,D4,L1,V2,M1}  { vplus( vsucc( X ), Y ) = vsucc( vplus( X, Y )
% 0.72/1.21     ) }.
% 0.72/1.21  (2758) {G0,W6,D3,L1,V1,M1}  { vplus( v1, X ) = vsucc( X ) }.
% 0.72/1.21  (2759) {G0,W11,D4,L1,V3,M1}  { vplus( vplus( X, Y ), Z ) = vplus( X, vplus
% 0.72/1.21    ( Y, Z ) ) }.
% 0.72/1.21  (2760) {G0,W9,D4,L1,V2,M1}  { vplus( X, vsucc( Y ) ) = vsucc( vplus( X, Y )
% 0.72/1.21     ) }.
% 0.72/1.21  (2761) {G0,W6,D3,L1,V1,M1}  { vplus( X, v1 ) = vsucc( X ) }.
% 0.72/1.21  (2762) {G0,W8,D4,L2,V1,M2}  { X = v1, X = vsucc( vskolem2( X ) ) }.
% 0.72/1.21  (2763) {G0,W4,D3,L1,V1,M1}  { ! vsucc( X ) = X }.
% 0.72/1.21  (2764) {G0,W8,D3,L2,V2,M2}  { X = Y, ! vsucc( X ) = vsucc( Y ) }.
% 0.72/1.21  
% 0.72/1.21  
% 0.72/1.21  Total Proof:
% 0.72/1.21  
% 0.72/1.21  subsumption: (0) {G0,W3,D2,L1,V0,M1} I { ! greater( vd328, vd329 ) }.
% 0.72/1.21  parent0: (2722) {G0,W3,D2,L1,V0,M1}  { ! greater( vd328, vd329 ) }.
% 0.72/1.21  substitution0:
% 0.72/1.21  end
% 0.72/1.21  permutation0:
% 0.72/1.21     0 ==> 0
% 0.72/1.21  end
% 0.72/1.21  
% 0.72/1.21  subsumption: (1) {G0,W7,D3,L1,V0,M1} I { greater( vplus( vd328, vd330 ), 
% 0.72/1.21    vplus( vd329, vd330 ) ) }.
% 0.72/1.21  parent0: (2723) {G0,W7,D3,L1,V0,M1}  { greater( vplus( vd328, vd330 ), 
% 0.72/1.21    vplus( vd329, vd330 ) ) }.
% 0.72/1.21  substitution0:
% 0.72/1.21  end
% 0.72/1.21  permutation0:
% 0.72/1.21     0 ==> 0
% 0.72/1.21  end
% 0.72/1.21  
% 0.72/1.21  subsumption: (2) {G0,W10,D3,L2,V3,M2} I { ! less( X, Y ), less( vplus( X, Z
% 0.72/1.21     ), vplus( Y, Z ) ) }.
% 0.72/1.21  parent0: (2724) {G0,W10,D3,L2,V3,M2}  { ! less( X, Y ), less( vplus( X, Z )
% 0.72/1.21    , vplus( Y, Z ) ) }.
% 0.72/1.21  substitution0:
% 0.72/1.21     X := X
% 0.72/1.21     Y := Y
% 0.72/1.21     Z := Z
% 0.72/1.21  end
% 0.72/1.21  permutation0:
% 0.72/1.21     0 ==> 0
% 0.72/1.21     1 ==> 1
% 0.72/1.21  end
% 0.72/1.21  
% 0.72/1.21  subsumption: (12) {G0,W9,D2,L3,V2,M3} I { ! leq( Y, X ), less( Y, X ), Y = 
% 0.72/1.21    X }.
% 0.72/1.21  parent0: (2734) {G0,W9,D2,L3,V2,M3}  { ! leq( Y, X ), less( Y, X ), Y = X
% 0.72/1.21     }.
% 0.72/1.21  substitution0:
% 0.72/1.21     X := X
% 0.72/1.21     Y := Y
% 0.72/1.21  end
% 0.72/1.21  permutation0:
% 0.72/1.21     0 ==> 0
% 0.72/1.21     1 ==> 1
% 0.72/1.21     2 ==> 2
% 0.72/1.21  end
% 0.72/1.21  
% 0.72/1.21  subsumption: (14) {G0,W6,D2,L2,V2,M2} I { ! Y = X, leq( Y, X ) }.
% 0.72/1.21  parent0: (2736) {G0,W6,D2,L2,V2,M2}  { ! Y = X, leq( Y, X ) }.
% 0.72/1.21  substitution0:
% 0.72/1.21     X := X
% 0.72/1.21     Y := Y
% 0.72/1.21  end
% 0.72/1.21  permutation0:
% 0.72/1.21     0 ==> 0
% 0.72/1.21     1 ==> 1
% 0.72/1.21  end
% 0.72/1.21  
% 0.72/1.21  subsumption: (20) {G0,W9,D2,L3,V2,M3} I { X = Y, greater( X, Y ), less( X, 
% 0.72/1.21    Y ) }.
% 0.72/1.21  parent0: (2742) {G0,W9,D2,L3,V2,M3}  { X = Y, greater( X, Y ), less( X, Y )
% 0.72/1.21     }.
% 0.72/1.21  substitution0:
% 0.72/1.21     X := X
% 0.72/1.21     Y := Y
% 0.72/1.21  end
% 0.72/1.21  permutation0:
% 0.72/1.21     0 ==> 0
% 0.72/1.21     1 ==> 1
% 0.72/1.21     2 ==> 2
% 0.72/1.21  end
% 0.72/1.21  
% 0.72/1.21  subsumption: (22) {G0,W6,D2,L2,V2,M2} I { ! greater( X, Y ), ! less( X, Y )
% 0.72/1.21     }.
% 0.72/1.21  parent0: (2744) {G0,W6,D2,L2,V2,M2}  { ! greater( X, Y ), ! less( X, Y )
% 0.72/1.21     }.
% 0.72/1.21  substitution0:
% 0.72/1.21     X := X
% 0.72/1.21     Y := Y
% 0.72/1.21  end
% 0.72/1.21  permutation0:
% 0.72/1.21     0 ==> 0
% 0.72/1.21     1 ==> 1
% 0.72/1.21  end
% 0.72/1.21  
% 0.72/1.21  subsumption: (23) {G0,W6,D2,L2,V2,M2} I { ! X = Y, ! greater( X, Y ) }.
% 0.72/1.21  parent0: (2745) {G0,W6,D2,L2,V2,M2}  { ! X = Y, ! greater( X, Y ) }.
% 0.72/1.21  substitution0:
% 0.72/1.21     X := X
% 0.72/1.21     Y := Y
% 0.72/1.21  end
% 0.72/1.21  permutation0:
% 0.72/1.21     0 ==> 0
% 0.72/1.21     1 ==> 1
% 0.72/1.21  end
% 0.72/1.21  
% 0.72/1.21  eqswap: (2801) {G0,W6,D2,L2,V2,M2}  { ! Y = X, leq( X, Y ) }.
% 0.72/1.21  parent0[0]: (14) {G0,W6,D2,L2,V2,M2} I { ! Y = X, leq( Y, X ) }.
% 0.72/1.21  substitution0:
% 0.72/1.21     X := Y
% 0.72/1.21     Y := X
% 0.72/1.21  end
% 0.72/1.21  
% 0.72/1.21  eqrefl: (2802) {G0,W3,D2,L1,V1,M1}  { leq( X, X ) }.
% 0.72/1.21  parent0[0]: (2801) {G0,W6,D2,L2,V2,M2}  { ! Y = X, leq( X, Y ) }.
% 0.72/1.21  substitution0:
% 0.72/1.21     X := X
% 0.72/1.21     Y := X
% 0.72/1.21  end
% 0.72/1.21  
% 0.72/1.21  subsumption: (42) {G1,W3,D2,L1,V1,M1} Q(14) { leq( X, X ) }.
% 0.72/1.21  parent0: (2802) {G0,W3,D2,L1,V1,M1}  { leq( X, X ) }.
% 0.72/1.21  substitution0:
% 0.72/1.21     X := X
% 0.72/1.21  end
% 0.72/1.21  permutation0:
% 0.72/1.21     0 ==> 0
% 0.72/1.21  end
% 0.72/1.21  
% 0.72/1.21  eqswap: (2803) {G0,W6,D2,L2,V2,M2}  { ! Y = X, ! greater( X, Y ) }.
% 0.72/1.21  parent0[0]: (23) {G0,W6,D2,L2,V2,M2} I { ! X = Y, ! greater( X, Y ) }.
% 0.72/1.21  substitution0:
% 0.72/1.21     X := X
% 0.72/1.21     Y := Y
% 0.72/1.21  end
% 0.72/1.21  
% 0.72/1.21  resolution: (2804) {G1,W7,D3,L1,V0,M1}  { ! vplus( vd329, vd330 ) = vplus( 
% 0.72/1.21    vd328, vd330 ) }.
% 0.72/1.21  parent0[1]: (2803) {G0,W6,D2,L2,V2,M2}  { ! Y = X, ! greater( X, Y ) }.
% 0.72/1.21  parent1[0]: (1) {G0,W7,D3,L1,V0,M1} I { greater( vplus( vd328, vd330 ), 
% 0.72/1.21    vplus( vd329, vd330 ) ) }.
% 0.72/1.21  substitution0:
% 0.72/1.21     X := vplus( vd328, vd330 )
% 0.72/1.21     Y := vplus( vd329, vd330 )
% 0.72/1.21  end
% 0.72/1.21  substitution1:
% 0.72/1.21  end
% 0.72/1.21  
% 0.72/1.21  subsumption: (51) {G1,W7,D3,L1,V0,M1} R(23,1) { ! vplus( vd329, vd330 ) ==>
% 0.72/1.21     vplus( vd328, vd330 ) }.
% 0.72/1.21  parent0: (2804) {G1,W7,D3,L1,V0,M1}  { ! vplus( vd329, vd330 ) = vplus( 
% 0.72/1.21    vd328, vd330 ) }.
% 0.72/1.21  substitution0:
% 0.72/1.21  end
% 0.72/1.21  permutation0:
% 0.72/1.21     0 ==> 0
% 0.72/1.21  end
% 0.72/1.21  
% 0.72/1.21  resoCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------