TSTP Solution File: KRS127+1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : KRS127+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n032.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 : Sun Jul 17 02:42:21 EDT 2022

% Result   : Unsatisfiable 0.56s 1.04s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem  : KRS127+1 : TPTP v8.1.0. Released v3.1.0.
% 0.05/0.11  % Command  : bliksem %s
% 0.10/0.30  % Computer : n032.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % DateTime : Tue Jun  7 09:00:35 EDT 2022
% 0.10/0.30  % CPUTime  : 
% 0.56/1.04  *** allocated 10000 integers for termspace/termends
% 0.56/1.04  *** allocated 10000 integers for clauses
% 0.56/1.04  *** allocated 10000 integers for justifications
% 0.56/1.04  Bliksem 1.12
% 0.56/1.04  
% 0.56/1.04  
% 0.56/1.04  Automatic Strategy Selection
% 0.56/1.04  
% 0.56/1.04  
% 0.56/1.04  Clauses:
% 0.56/1.04  
% 0.56/1.04  { ! Y = X, ! cUnsatisfiable( Y ), cUnsatisfiable( X ) }.
% 0.56/1.04  { ! Y = X, ! cc( Y ), cc( X ) }.
% 0.56/1.04  { ! Y = X, ! cd( Y ), cd( X ) }.
% 0.56/1.04  { ! Y = X, ! cdxcomp( Y ), cdxcomp( X ) }.
% 0.56/1.04  { ! Y = X, ! cowlNothing( Y ), cowlNothing( X ) }.
% 0.56/1.04  { ! Y = X, ! cowlThing( Y ), cowlThing( X ) }.
% 0.56/1.04  { ! Z = X, ! ra_Px1( Z, Y ), ra_Px1( X, Y ) }.
% 0.56/1.04  { ! Z = X, ! ra_Px1( Y, Z ), ra_Px1( Y, X ) }.
% 0.56/1.04  { ! Z = X, ! rr( Z, Y ), rr( X, Y ) }.
% 0.56/1.04  { ! Z = X, ! rr( Y, Z ), rr( Y, X ) }.
% 0.56/1.04  { ! Y = X, ! xsd_integer( Y ), xsd_integer( X ) }.
% 0.56/1.04  { ! Y = X, ! xsd_string( Y ), xsd_string( X ) }.
% 0.56/1.04  { cowlThing( X ) }.
% 0.56/1.04  { ! cowlNothing( X ) }.
% 0.56/1.04  { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.56/1.04  { xsd_integer( X ), xsd_string( X ) }.
% 0.56/1.04  { ! cUnsatisfiable( X ), alpha1( X ) }.
% 0.56/1.04  { ! cUnsatisfiable( X ), alpha2( X ) }.
% 0.56/1.04  { ! alpha1( X ), ! alpha2( X ), cUnsatisfiable( X ) }.
% 0.56/1.04  { ! alpha2( X ), alpha3( X ) }.
% 0.56/1.04  { ! alpha2( X ), alpha4( X ) }.
% 0.56/1.04  { ! alpha3( X ), ! alpha4( X ), alpha2( X ) }.
% 0.56/1.04  { ! alpha4( X ), ! alpha5( X, Y, Z ), Y = Z }.
% 0.56/1.04  { alpha5( X, skol1( X ), skol6( X ) ), alpha4( X ) }.
% 0.56/1.04  { ! skol1( X ) = skol6( X ), alpha4( X ) }.
% 0.56/1.04  { ! alpha5( X, Y, Z ), rr( X, Y ) }.
% 0.56/1.04  { ! alpha5( X, Y, Z ), rr( X, Z ) }.
% 0.56/1.04  { ! rr( X, Y ), ! rr( X, Z ), alpha5( X, Y, Z ) }.
% 0.56/1.04  { ! alpha3( X ), cd( skol2( Y ) ) }.
% 0.56/1.04  { ! alpha3( X ), rr( X, skol2( X ) ) }.
% 0.56/1.04  { ! rr( X, Y ), ! cd( Y ), alpha3( X ) }.
% 0.56/1.04  { ! alpha1( X ), cc( skol3( Y ) ) }.
% 0.56/1.04  { ! alpha1( X ), rr( X, skol3( X ) ) }.
% 0.56/1.04  { ! rr( X, Y ), ! cc( Y ), alpha1( X ) }.
% 0.56/1.04  { ! cc( X ), cdxcomp( X ) }.
% 0.56/1.04  { ! cd( X ), ! ra_Px1( X, Y ) }.
% 0.56/1.04  { ra_Px1( X, skol4( X ) ), cd( X ) }.
% 0.56/1.04  { ! cdxcomp( X ), ra_Px1( X, skol5( X ) ) }.
% 0.56/1.04  { ! ra_Px1( X, Y ), cdxcomp( X ) }.
% 0.56/1.04  { cUnsatisfiable( i2003_11_14_17_22_27794 ) }.
% 0.56/1.04  
% 0.56/1.04  percentage equality = 0.147368, percentage horn = 0.925000
% 0.56/1.04  This is a problem with some equality
% 0.56/1.04  
% 0.56/1.04  
% 0.56/1.04  
% 0.56/1.04  Options Used:
% 0.56/1.04  
% 0.56/1.04  useres =            1
% 0.56/1.04  useparamod =        1
% 0.56/1.04  useeqrefl =         1
% 0.56/1.04  useeqfact =         1
% 0.56/1.04  usefactor =         1
% 0.56/1.04  usesimpsplitting =  0
% 0.56/1.04  usesimpdemod =      5
% 0.56/1.04  usesimpres =        3
% 0.56/1.04  
% 0.56/1.04  resimpinuse      =  1000
% 0.56/1.04  resimpclauses =     20000
% 0.56/1.04  substype =          eqrewr
% 0.56/1.04  backwardsubs =      1
% 0.56/1.04  selectoldest =      5
% 0.56/1.04  
% 0.56/1.04  litorderings [0] =  split
% 0.56/1.04  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.56/1.04  
% 0.56/1.04  termordering =      kbo
% 0.56/1.04  
% 0.56/1.04  litapriori =        0
% 0.56/1.04  termapriori =       1
% 0.56/1.04  litaposteriori =    0
% 0.56/1.04  termaposteriori =   0
% 0.56/1.04  demodaposteriori =  0
% 0.56/1.04  ordereqreflfact =   0
% 0.56/1.04  
% 0.56/1.04  litselect =         negord
% 0.56/1.04  
% 0.56/1.04  maxweight =         15
% 0.56/1.04  maxdepth =          30000
% 0.56/1.04  maxlength =         115
% 0.56/1.04  maxnrvars =         195
% 0.56/1.04  excuselevel =       1
% 0.56/1.04  increasemaxweight = 1
% 0.56/1.04  
% 0.56/1.04  maxselected =       10000000
% 0.56/1.04  maxnrclauses =      10000000
% 0.56/1.04  
% 0.56/1.04  showgenerated =    0
% 0.56/1.04  showkept =         0
% 0.56/1.04  showselected =     0
% 0.56/1.04  showdeleted =      0
% 0.56/1.04  showresimp =       1
% 0.56/1.04  showstatus =       2000
% 0.56/1.04  
% 0.56/1.04  prologoutput =     0
% 0.56/1.04  nrgoals =          5000000
% 0.56/1.04  totalproof =       1
% 0.56/1.04  
% 0.56/1.04  Symbols occurring in the translation:
% 0.56/1.04  
% 0.56/1.04  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.56/1.04  .  [1, 2]      (w:1, o:37, a:1, s:1, b:0), 
% 0.56/1.04  !  [4, 1]      (w:0, o:14, a:1, s:1, b:0), 
% 0.56/1.04  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.56/1.04  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.56/1.04  cUnsatisfiable  [37, 1]      (w:1, o:19, a:1, s:1, b:0), 
% 0.56/1.04  cc  [38, 1]      (w:1, o:20, a:1, s:1, b:0), 
% 0.56/1.04  cd  [39, 1]      (w:1, o:21, a:1, s:1, b:0), 
% 0.56/1.04  cdxcomp  [40, 1]      (w:1, o:22, a:1, s:1, b:0), 
% 0.56/1.04  cowlNothing  [41, 1]      (w:1, o:23, a:1, s:1, b:0), 
% 0.56/1.04  cowlThing  [42, 1]      (w:1, o:24, a:1, s:1, b:0), 
% 0.56/1.04  ra_Px1  [44, 2]      (w:1, o:61, a:1, s:1, b:0), 
% 0.56/1.04  rr  [45, 2]      (w:1, o:62, a:1, s:1, b:0), 
% 0.56/1.04  xsd_integer  [46, 1]      (w:1, o:25, a:1, s:1, b:0), 
% 0.56/1.04  xsd_string  [47, 1]      (w:1, o:26, a:1, s:1, b:0), 
% 0.56/1.04  i2003_11_14_17_22_27794  [52, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 0.56/1.04  alpha1  [53, 1]      (w:1, o:27, a:1, s:1, b:1), 
% 0.56/1.04  alpha2  [54, 1]      (w:1, o:28, a:1, s:1, b:1), 
% 0.56/1.04  alpha3  [55, 1]      (w:1, o:29, a:1, s:1, b:1), 
% 0.56/1.04  alpha4  [56, 1]      (w:1, o:30, a:1, s:1, b:1), 
% 0.56/1.04  alpha5  [57, 3]      (w:1, o:63, a:1, s:1, b:1), 
% 0.56/1.04  skol1  [58, 1]      (w:1, o:31, a:1, s:1, b:1), 
% 0.56/1.04  skol2  [59, 1]      (w:1, o:32, a:1, s:1, b:1), 
% 0.56/1.04  skol3  [60, 1]      (w:1, o:33, a:1, s:1, b:1), 
% 0.56/1.04  skol4  [61, 1]      (w:1, o:34, a:1, s:1, b:1), 
% 0.56/1.04  skol5  [62, 1]      (w:1, o:35, a:1, s:1, b:1), 
% 0.56/1.04  skol6  [63, 1]      (w:1, o:36, a:1, s:1, b:1).
% 0.56/1.04  
% 0.56/1.04  
% 0.56/1.04  Starting Search:
% 0.56/1.04  
% 0.56/1.04  *** allocated 15000 integers for clauses
% 0.56/1.04  *** allocated 22500 integers for clauses
% 0.56/1.04  *** allocated 33750 integers for clauses
% 0.56/1.04  *** allocated 15000 integers for termspace/termends
% 0.56/1.04  *** allocated 50625 integers for clauses
% 0.56/1.04  Resimplifying inuse:
% 0.56/1.04  Done
% 0.56/1.04  
% 0.56/1.04  *** allocated 22500 integers for termspace/termends
% 0.56/1.04  *** allocated 75937 integers for clauses
% 0.56/1.04  *** allocated 33750 integers for termspace/termends
% 0.56/1.04  *** allocated 113905 integers for clauses
% 0.56/1.04  
% 0.56/1.04  Intermediate Status:
% 0.56/1.04  Generated:    6650
% 0.56/1.04  Kept:         2027
% 0.56/1.04  Inuse:        241
% 0.56/1.04  Deleted:      13
% 0.56/1.04  Deletedinuse: 2
% 0.56/1.04  
% 0.56/1.04  Resimplifying inuse:
% 0.56/1.04  Done
% 0.56/1.04  
% 0.56/1.04  *** allocated 50625 integers for termspace/termends
% 0.56/1.04  
% 0.56/1.04  Bliksems!, er is een bewijs:
% 0.56/1.04  % SZS status Unsatisfiable
% 0.56/1.04  % SZS output start Refutation
% 0.56/1.04  
% 0.56/1.04  (0) {G0,W7,D2,L3,V2,M3} I { ! Y = X, ! cUnsatisfiable( Y ), cUnsatisfiable
% 0.56/1.04    ( X ) }.
% 0.56/1.04  (3) {G0,W7,D2,L3,V2,M3} I { ! Y = X, ! cdxcomp( Y ), cdxcomp( X ) }.
% 0.56/1.04  (16) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X ) }.
% 0.56/1.04  (17) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha2( X ) }.
% 0.56/1.04  (19) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), alpha3( X ) }.
% 0.56/1.04  (20) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), alpha4( X ) }.
% 0.56/1.04  (22) {G0,W9,D2,L3,V3,M3} I { ! alpha4( X ), ! alpha5( X, Y, Z ), Y = Z }.
% 0.56/1.04  (27) {G0,W10,D2,L3,V3,M3} I { ! rr( X, Y ), ! rr( X, Z ), alpha5( X, Y, Z )
% 0.56/1.04     }.
% 0.56/1.04  (28) {G0,W5,D3,L2,V2,M2} I { ! alpha3( X ), cd( skol2( Y ) ) }.
% 0.56/1.04  (29) {G0,W6,D3,L2,V1,M2} I { ! alpha3( X ), rr( X, skol2( X ) ) }.
% 0.56/1.04  (31) {G0,W5,D3,L2,V2,M2} I { ! alpha1( X ), cc( skol3( Y ) ) }.
% 0.56/1.04  (32) {G0,W6,D3,L2,V1,M2} I { ! alpha1( X ), rr( X, skol3( X ) ) }.
% 0.56/1.04  (34) {G0,W4,D2,L2,V1,M2} I { ! cc( X ), cdxcomp( X ) }.
% 0.56/1.04  (35) {G0,W5,D2,L2,V2,M2} I { ! cd( X ), ! ra_Px1( X, Y ) }.
% 0.56/1.04  (37) {G0,W6,D3,L2,V1,M2} I { ! cdxcomp( X ), ra_Px1( X, skol5( X ) ) }.
% 0.56/1.04  (39) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( i2003_11_14_17_22_27794 ) }.
% 0.56/1.04  (42) {G1,W5,D2,L2,V1,M2} R(0,39) { ! i2003_11_14_17_22_27794 = X, 
% 0.56/1.04    cUnsatisfiable( X ) }.
% 0.56/1.04  (43) {G1,W4,D2,L2,V1,M2} R(17,19) { ! cUnsatisfiable( X ), alpha3( X ) }.
% 0.56/1.04  (46) {G1,W2,D2,L1,V0,M1} R(17,39) { alpha2( i2003_11_14_17_22_27794 ) }.
% 0.56/1.04  (47) {G2,W2,D2,L1,V0,M1} R(46,19) { alpha3( i2003_11_14_17_22_27794 ) }.
% 0.56/1.04  (48) {G2,W2,D2,L1,V0,M1} R(46,20) { alpha4( i2003_11_14_17_22_27794 ) }.
% 0.56/1.04  (54) {G1,W2,D2,L1,V0,M1} R(16,39) { alpha1( i2003_11_14_17_22_27794 ) }.
% 0.56/1.04  (59) {G2,W5,D2,L2,V1,M2} R(42,16) { ! i2003_11_14_17_22_27794 = X, alpha1( 
% 0.56/1.04    X ) }.
% 0.56/1.04  (61) {G2,W5,D2,L2,V1,M2} R(42,43) { ! i2003_11_14_17_22_27794 = X, alpha3( 
% 0.56/1.04    X ) }.
% 0.56/1.04  (65) {G2,W3,D3,L1,V1,M1} R(31,54) { cc( skol3( X ) ) }.
% 0.56/1.04  (69) {G3,W3,D3,L1,V1,M1} R(65,34) { cdxcomp( skol3( X ) ) }.
% 0.56/1.04  (70) {G4,W6,D3,L2,V2,M2} R(69,3) { ! skol3( X ) = Y, cdxcomp( Y ) }.
% 0.56/1.04  (75) {G3,W3,D3,L1,V1,M1} R(28,47) { cd( skol2( X ) ) }.
% 0.56/1.04  (76) {G4,W4,D3,L1,V2,M1} R(75,35) { ! ra_Px1( skol2( X ), Y ) }.
% 0.56/1.04  (91) {G5,W3,D3,L1,V1,M1} R(37,76) { ! cdxcomp( skol2( X ) ) }.
% 0.56/1.04  (98) {G6,W5,D3,L1,V2,M1} R(91,70) { ! skol3( X ) = skol2( Y ) }.
% 0.56/1.04  (157) {G3,W7,D2,L2,V2,M2} R(22,48) { ! alpha5( i2003_11_14_17_22_27794, X, 
% 0.56/1.04    Y ), X = Y }.
% 0.56/1.04  (221) {G3,W7,D3,L2,V1,M2} R(32,59) { rr( X, skol3( X ) ), ! 
% 0.56/1.04    i2003_11_14_17_22_27794 = X }.
% 0.56/1.04  (241) {G3,W7,D3,L2,V1,M2} R(29,61) { rr( X, skol2( X ) ), ! 
% 0.56/1.04    i2003_11_14_17_22_27794 = X }.
% 0.56/1.04  (302) {G7,W6,D3,L1,V2,M1} R(157,98) { ! alpha5( i2003_11_14_17_22_27794, 
% 0.56/1.04    skol3( X ), skol2( Y ) ) }.
% 0.56/1.04  (462) {G8,W8,D3,L2,V2,M2} R(302,27) { ! rr( i2003_11_14_17_22_27794, skol3
% 0.56/1.04    ( X ) ), ! rr( i2003_11_14_17_22_27794, skol2( Y ) ) }.
% 0.56/1.04  (2681) {G9,W4,D3,L1,V1,M1} R(462,221);q { ! rr( i2003_11_14_17_22_27794, 
% 0.56/1.04    skol2( X ) ) }.
% 0.56/1.04  (2690) {G10,W0,D0,L0,V0,M0} R(2681,241);q {  }.
% 0.56/1.04  
% 0.56/1.04  
% 0.56/1.04  % SZS output end Refutation
% 0.56/1.04  found a proof!
% 0.56/1.04  
% 0.56/1.04  
% 0.56/1.04  Unprocessed initial clauses:
% 0.56/1.04  
% 0.56/1.04  (2692) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! cUnsatisfiable( Y ), 
% 0.56/1.04    cUnsatisfiable( X ) }.
% 0.56/1.04  (2693) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! cc( Y ), cc( X ) }.
% 0.56/1.04  (2694) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! cd( Y ), cd( X ) }.
% 0.56/1.04  (2695) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! cdxcomp( Y ), cdxcomp( X ) }.
% 0.56/1.04  (2696) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! cowlNothing( Y ), cowlNothing( X )
% 0.56/1.04     }.
% 0.56/1.04  (2697) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! cowlThing( Y ), cowlThing( X ) }.
% 0.56/1.04  (2698) {G0,W9,D2,L3,V3,M3}  { ! Z = X, ! ra_Px1( Z, Y ), ra_Px1( X, Y ) }.
% 0.56/1.04  (2699) {G0,W9,D2,L3,V3,M3}  { ! Z = X, ! ra_Px1( Y, Z ), ra_Px1( Y, X ) }.
% 0.56/1.04  (2700) {G0,W9,D2,L3,V3,M3}  { ! Z = X, ! rr( Z, Y ), rr( X, Y ) }.
% 0.56/1.04  (2701) {G0,W9,D2,L3,V3,M3}  { ! Z = X, ! rr( Y, Z ), rr( Y, X ) }.
% 0.56/1.04  (2702) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! xsd_integer( Y ), xsd_integer( X )
% 0.56/1.04     }.
% 0.56/1.04  (2703) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! xsd_string( Y ), xsd_string( X )
% 0.56/1.04     }.
% 0.56/1.04  (2704) {G0,W2,D2,L1,V1,M1}  { cowlThing( X ) }.
% 0.56/1.04  (2705) {G0,W2,D2,L1,V1,M1}  { ! cowlNothing( X ) }.
% 0.56/1.04  (2706) {G0,W4,D2,L2,V1,M2}  { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.56/1.04  (2707) {G0,W4,D2,L2,V1,M2}  { xsd_integer( X ), xsd_string( X ) }.
% 0.56/1.04  (2708) {G0,W4,D2,L2,V1,M2}  { ! cUnsatisfiable( X ), alpha1( X ) }.
% 0.56/1.04  (2709) {G0,W4,D2,L2,V1,M2}  { ! cUnsatisfiable( X ), alpha2( X ) }.
% 0.56/1.04  (2710) {G0,W6,D2,L3,V1,M3}  { ! alpha1( X ), ! alpha2( X ), cUnsatisfiable
% 0.56/1.04    ( X ) }.
% 0.56/1.04  (2711) {G0,W4,D2,L2,V1,M2}  { ! alpha2( X ), alpha3( X ) }.
% 0.56/1.04  (2712) {G0,W4,D2,L2,V1,M2}  { ! alpha2( X ), alpha4( X ) }.
% 0.56/1.04  (2713) {G0,W6,D2,L3,V1,M3}  { ! alpha3( X ), ! alpha4( X ), alpha2( X ) }.
% 0.56/1.04  (2714) {G0,W9,D2,L3,V3,M3}  { ! alpha4( X ), ! alpha5( X, Y, Z ), Y = Z }.
% 0.56/1.04  (2715) {G0,W8,D3,L2,V1,M2}  { alpha5( X, skol1( X ), skol6( X ) ), alpha4( 
% 0.56/1.04    X ) }.
% 0.56/1.04  (2716) {G0,W7,D3,L2,V1,M2}  { ! skol1( X ) = skol6( X ), alpha4( X ) }.
% 0.56/1.04  (2717) {G0,W7,D2,L2,V3,M2}  { ! alpha5( X, Y, Z ), rr( X, Y ) }.
% 0.56/1.04  (2718) {G0,W7,D2,L2,V3,M2}  { ! alpha5( X, Y, Z ), rr( X, Z ) }.
% 0.56/1.04  (2719) {G0,W10,D2,L3,V3,M3}  { ! rr( X, Y ), ! rr( X, Z ), alpha5( X, Y, Z
% 0.56/1.04     ) }.
% 0.56/1.04  (2720) {G0,W5,D3,L2,V2,M2}  { ! alpha3( X ), cd( skol2( Y ) ) }.
% 0.56/1.04  (2721) {G0,W6,D3,L2,V1,M2}  { ! alpha3( X ), rr( X, skol2( X ) ) }.
% 0.56/1.04  (2722) {G0,W7,D2,L3,V2,M3}  { ! rr( X, Y ), ! cd( Y ), alpha3( X ) }.
% 0.56/1.04  (2723) {G0,W5,D3,L2,V2,M2}  { ! alpha1( X ), cc( skol3( Y ) ) }.
% 0.56/1.04  (2724) {G0,W6,D3,L2,V1,M2}  { ! alpha1( X ), rr( X, skol3( X ) ) }.
% 0.56/1.04  (2725) {G0,W7,D2,L3,V2,M3}  { ! rr( X, Y ), ! cc( Y ), alpha1( X ) }.
% 0.56/1.04  (2726) {G0,W4,D2,L2,V1,M2}  { ! cc( X ), cdxcomp( X ) }.
% 0.56/1.04  (2727) {G0,W5,D2,L2,V2,M2}  { ! cd( X ), ! ra_Px1( X, Y ) }.
% 0.56/1.04  (2728) {G0,W6,D3,L2,V1,M2}  { ra_Px1( X, skol4( X ) ), cd( X ) }.
% 0.56/1.04  (2729) {G0,W6,D3,L2,V1,M2}  { ! cdxcomp( X ), ra_Px1( X, skol5( X ) ) }.
% 0.56/1.04  (2730) {G0,W5,D2,L2,V2,M2}  { ! ra_Px1( X, Y ), cdxcomp( X ) }.
% 0.56/1.04  (2731) {G0,W2,D2,L1,V0,M1}  { cUnsatisfiable( i2003_11_14_17_22_27794 ) }.
% 0.56/1.04  
% 0.56/1.04  
% 0.56/1.04  Total Proof:
% 0.56/1.04  
% 0.56/1.04  subsumption: (0) {G0,W7,D2,L3,V2,M3} I { ! Y = X, ! cUnsatisfiable( Y ), 
% 0.56/1.04    cUnsatisfiable( X ) }.
% 0.56/1.04  parent0: (2692) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! cUnsatisfiable( Y ), 
% 0.56/1.04    cUnsatisfiable( X ) }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := X
% 0.56/1.04     Y := Y
% 0.56/1.04  end
% 0.56/1.04  permutation0:
% 0.56/1.04     0 ==> 0
% 0.56/1.04     1 ==> 1
% 0.56/1.04     2 ==> 2
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  subsumption: (3) {G0,W7,D2,L3,V2,M3} I { ! Y = X, ! cdxcomp( Y ), cdxcomp( 
% 0.56/1.04    X ) }.
% 0.56/1.04  parent0: (2695) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! cdxcomp( Y ), cdxcomp( X
% 0.56/1.04     ) }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := X
% 0.56/1.04     Y := Y
% 0.56/1.04  end
% 0.56/1.04  permutation0:
% 0.56/1.04     0 ==> 0
% 0.56/1.04     1 ==> 1
% 0.56/1.04     2 ==> 2
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  subsumption: (16) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X
% 0.56/1.04     ) }.
% 0.56/1.04  parent0: (2708) {G0,W4,D2,L2,V1,M2}  { ! cUnsatisfiable( X ), alpha1( X )
% 0.56/1.04     }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := X
% 0.56/1.04  end
% 0.56/1.04  permutation0:
% 0.56/1.04     0 ==> 0
% 0.56/1.04     1 ==> 1
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  subsumption: (17) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha2( X
% 0.56/1.04     ) }.
% 0.56/1.04  parent0: (2709) {G0,W4,D2,L2,V1,M2}  { ! cUnsatisfiable( X ), alpha2( X )
% 0.56/1.04     }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := X
% 0.56/1.04  end
% 0.56/1.04  permutation0:
% 0.56/1.04     0 ==> 0
% 0.56/1.04     1 ==> 1
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  subsumption: (19) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), alpha3( X ) }.
% 0.56/1.04  parent0: (2711) {G0,W4,D2,L2,V1,M2}  { ! alpha2( X ), alpha3( X ) }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := X
% 0.56/1.04  end
% 0.56/1.04  permutation0:
% 0.56/1.04     0 ==> 0
% 0.56/1.04     1 ==> 1
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  subsumption: (20) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), alpha4( X ) }.
% 0.56/1.04  parent0: (2712) {G0,W4,D2,L2,V1,M2}  { ! alpha2( X ), alpha4( X ) }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := X
% 0.56/1.04  end
% 0.56/1.04  permutation0:
% 0.56/1.04     0 ==> 0
% 0.56/1.04     1 ==> 1
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  subsumption: (22) {G0,W9,D2,L3,V3,M3} I { ! alpha4( X ), ! alpha5( X, Y, Z
% 0.56/1.04     ), Y = Z }.
% 0.56/1.04  parent0: (2714) {G0,W9,D2,L3,V3,M3}  { ! alpha4( X ), ! alpha5( X, Y, Z ), 
% 0.56/1.04    Y = Z }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := X
% 0.56/1.04     Y := Y
% 0.56/1.04     Z := Z
% 0.56/1.04  end
% 0.56/1.04  permutation0:
% 0.56/1.04     0 ==> 0
% 0.56/1.04     1 ==> 1
% 0.56/1.04     2 ==> 2
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  subsumption: (27) {G0,W10,D2,L3,V3,M3} I { ! rr( X, Y ), ! rr( X, Z ), 
% 0.56/1.04    alpha5( X, Y, Z ) }.
% 0.56/1.04  parent0: (2719) {G0,W10,D2,L3,V3,M3}  { ! rr( X, Y ), ! rr( X, Z ), alpha5
% 0.56/1.04    ( X, Y, Z ) }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := X
% 0.56/1.04     Y := Y
% 0.56/1.04     Z := Z
% 0.56/1.04  end
% 0.56/1.04  permutation0:
% 0.56/1.04     0 ==> 0
% 0.56/1.04     1 ==> 1
% 0.56/1.04     2 ==> 2
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  subsumption: (28) {G0,W5,D3,L2,V2,M2} I { ! alpha3( X ), cd( skol2( Y ) )
% 0.56/1.04     }.
% 0.56/1.04  parent0: (2720) {G0,W5,D3,L2,V2,M2}  { ! alpha3( X ), cd( skol2( Y ) ) }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := X
% 0.56/1.04     Y := Y
% 0.56/1.04  end
% 0.56/1.04  permutation0:
% 0.56/1.04     0 ==> 0
% 0.56/1.04     1 ==> 1
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  subsumption: (29) {G0,W6,D3,L2,V1,M2} I { ! alpha3( X ), rr( X, skol2( X )
% 0.56/1.04     ) }.
% 0.56/1.04  parent0: (2721) {G0,W6,D3,L2,V1,M2}  { ! alpha3( X ), rr( X, skol2( X ) )
% 0.56/1.04     }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := X
% 0.56/1.04  end
% 0.56/1.04  permutation0:
% 0.56/1.04     0 ==> 0
% 0.56/1.04     1 ==> 1
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  subsumption: (31) {G0,W5,D3,L2,V2,M2} I { ! alpha1( X ), cc( skol3( Y ) )
% 0.56/1.04     }.
% 0.56/1.04  parent0: (2723) {G0,W5,D3,L2,V2,M2}  { ! alpha1( X ), cc( skol3( Y ) ) }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := X
% 0.56/1.04     Y := Y
% 0.56/1.04  end
% 0.56/1.04  permutation0:
% 0.56/1.04     0 ==> 0
% 0.56/1.04     1 ==> 1
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  subsumption: (32) {G0,W6,D3,L2,V1,M2} I { ! alpha1( X ), rr( X, skol3( X )
% 0.56/1.04     ) }.
% 0.56/1.04  parent0: (2724) {G0,W6,D3,L2,V1,M2}  { ! alpha1( X ), rr( X, skol3( X ) )
% 0.56/1.04     }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := X
% 0.56/1.04  end
% 0.56/1.04  permutation0:
% 0.56/1.04     0 ==> 0
% 0.56/1.04     1 ==> 1
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  subsumption: (34) {G0,W4,D2,L2,V1,M2} I { ! cc( X ), cdxcomp( X ) }.
% 0.56/1.04  parent0: (2726) {G0,W4,D2,L2,V1,M2}  { ! cc( X ), cdxcomp( X ) }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := X
% 0.56/1.04  end
% 0.56/1.04  permutation0:
% 0.56/1.04     0 ==> 0
% 0.56/1.04     1 ==> 1
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  subsumption: (35) {G0,W5,D2,L2,V2,M2} I { ! cd( X ), ! ra_Px1( X, Y ) }.
% 0.56/1.04  parent0: (2727) {G0,W5,D2,L2,V2,M2}  { ! cd( X ), ! ra_Px1( X, Y ) }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := X
% 0.56/1.04     Y := Y
% 0.56/1.04  end
% 0.56/1.04  permutation0:
% 0.56/1.04     0 ==> 0
% 0.56/1.04     1 ==> 1
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  subsumption: (37) {G0,W6,D3,L2,V1,M2} I { ! cdxcomp( X ), ra_Px1( X, skol5
% 0.56/1.04    ( X ) ) }.
% 0.56/1.04  parent0: (2729) {G0,W6,D3,L2,V1,M2}  { ! cdxcomp( X ), ra_Px1( X, skol5( X
% 0.56/1.04     ) ) }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := X
% 0.56/1.04  end
% 0.56/1.04  permutation0:
% 0.56/1.04     0 ==> 0
% 0.56/1.04     1 ==> 1
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  subsumption: (39) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( 
% 0.56/1.04    i2003_11_14_17_22_27794 ) }.
% 0.56/1.04  parent0: (2731) {G0,W2,D2,L1,V0,M1}  { cUnsatisfiable( 
% 0.56/1.04    i2003_11_14_17_22_27794 ) }.
% 0.56/1.04  substitution0:
% 0.56/1.04  end
% 0.56/1.04  permutation0:
% 0.56/1.04     0 ==> 0
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  eqswap: (2933) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! cUnsatisfiable( X ), 
% 0.56/1.04    cUnsatisfiable( Y ) }.
% 0.56/1.04  parent0[0]: (0) {G0,W7,D2,L3,V2,M3} I { ! Y = X, ! cUnsatisfiable( Y ), 
% 0.56/1.04    cUnsatisfiable( X ) }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := Y
% 0.56/1.04     Y := X
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  resolution: (2934) {G1,W5,D2,L2,V1,M2}  { ! X = i2003_11_14_17_22_27794, 
% 0.56/1.04    cUnsatisfiable( X ) }.
% 0.56/1.04  parent0[1]: (2933) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! cUnsatisfiable( X ), 
% 0.56/1.04    cUnsatisfiable( Y ) }.
% 0.56/1.04  parent1[0]: (39) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( 
% 0.56/1.04    i2003_11_14_17_22_27794 ) }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := i2003_11_14_17_22_27794
% 0.56/1.04     Y := X
% 0.56/1.04  end
% 0.56/1.04  substitution1:
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  eqswap: (2935) {G1,W5,D2,L2,V1,M2}  { ! i2003_11_14_17_22_27794 = X, 
% 0.56/1.04    cUnsatisfiable( X ) }.
% 0.56/1.04  parent0[0]: (2934) {G1,W5,D2,L2,V1,M2}  { ! X = i2003_11_14_17_22_27794, 
% 0.56/1.04    cUnsatisfiable( X ) }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := X
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  subsumption: (42) {G1,W5,D2,L2,V1,M2} R(0,39) { ! i2003_11_14_17_22_27794 =
% 0.56/1.04     X, cUnsatisfiable( X ) }.
% 0.56/1.04  parent0: (2935) {G1,W5,D2,L2,V1,M2}  { ! i2003_11_14_17_22_27794 = X, 
% 0.56/1.04    cUnsatisfiable( X ) }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := X
% 0.56/1.04  end
% 0.56/1.04  permutation0:
% 0.56/1.04     0 ==> 0
% 0.56/1.04     1 ==> 1
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  resolution: (2936) {G1,W4,D2,L2,V1,M2}  { alpha3( X ), ! cUnsatisfiable( X
% 0.56/1.04     ) }.
% 0.56/1.04  parent0[0]: (19) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), alpha3( X ) }.
% 0.56/1.04  parent1[1]: (17) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha2( X )
% 0.56/1.04     }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := X
% 0.56/1.04  end
% 0.56/1.04  substitution1:
% 0.56/1.04     X := X
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  subsumption: (43) {G1,W4,D2,L2,V1,M2} R(17,19) { ! cUnsatisfiable( X ), 
% 0.56/1.04    alpha3( X ) }.
% 0.56/1.04  parent0: (2936) {G1,W4,D2,L2,V1,M2}  { alpha3( X ), ! cUnsatisfiable( X )
% 0.56/1.04     }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := X
% 0.56/1.04  end
% 0.56/1.04  permutation0:
% 0.56/1.04     0 ==> 1
% 0.56/1.04     1 ==> 0
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  resolution: (2937) {G1,W2,D2,L1,V0,M1}  { alpha2( i2003_11_14_17_22_27794 )
% 0.56/1.04     }.
% 0.56/1.04  parent0[0]: (17) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha2( X )
% 0.56/1.04     }.
% 0.56/1.04  parent1[0]: (39) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( 
% 0.56/1.04    i2003_11_14_17_22_27794 ) }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := i2003_11_14_17_22_27794
% 0.56/1.04  end
% 0.56/1.04  substitution1:
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  subsumption: (46) {G1,W2,D2,L1,V0,M1} R(17,39) { alpha2( 
% 0.56/1.04    i2003_11_14_17_22_27794 ) }.
% 0.56/1.04  parent0: (2937) {G1,W2,D2,L1,V0,M1}  { alpha2( i2003_11_14_17_22_27794 )
% 0.56/1.04     }.
% 0.56/1.04  substitution0:
% 0.56/1.04  end
% 0.56/1.04  permutation0:
% 0.56/1.04     0 ==> 0
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  resolution: (2938) {G1,W2,D2,L1,V0,M1}  { alpha3( i2003_11_14_17_22_27794 )
% 0.56/1.04     }.
% 0.56/1.04  parent0[0]: (19) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), alpha3( X ) }.
% 0.56/1.04  parent1[0]: (46) {G1,W2,D2,L1,V0,M1} R(17,39) { alpha2( 
% 0.56/1.04    i2003_11_14_17_22_27794 ) }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := i2003_11_14_17_22_27794
% 0.56/1.04  end
% 0.56/1.04  substitution1:
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  subsumption: (47) {G2,W2,D2,L1,V0,M1} R(46,19) { alpha3( 
% 0.56/1.04    i2003_11_14_17_22_27794 ) }.
% 0.56/1.04  parent0: (2938) {G1,W2,D2,L1,V0,M1}  { alpha3( i2003_11_14_17_22_27794 )
% 0.56/1.04     }.
% 0.56/1.04  substitution0:
% 0.56/1.04  end
% 0.56/1.04  permutation0:
% 0.56/1.04     0 ==> 0
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  resolution: (2939) {G1,W2,D2,L1,V0,M1}  { alpha4( i2003_11_14_17_22_27794 )
% 0.56/1.04     }.
% 0.56/1.04  parent0[0]: (20) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), alpha4( X ) }.
% 0.56/1.04  parent1[0]: (46) {G1,W2,D2,L1,V0,M1} R(17,39) { alpha2( 
% 0.56/1.04    i2003_11_14_17_22_27794 ) }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := i2003_11_14_17_22_27794
% 0.56/1.04  end
% 0.56/1.04  substitution1:
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  subsumption: (48) {G2,W2,D2,L1,V0,M1} R(46,20) { alpha4( 
% 0.56/1.04    i2003_11_14_17_22_27794 ) }.
% 0.56/1.04  parent0: (2939) {G1,W2,D2,L1,V0,M1}  { alpha4( i2003_11_14_17_22_27794 )
% 0.56/1.04     }.
% 0.56/1.04  substitution0:
% 0.56/1.04  end
% 0.56/1.04  permutation0:
% 0.56/1.04     0 ==> 0
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  resolution: (2940) {G1,W2,D2,L1,V0,M1}  { alpha1( i2003_11_14_17_22_27794 )
% 0.56/1.04     }.
% 0.56/1.04  parent0[0]: (16) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X )
% 0.56/1.04     }.
% 0.56/1.04  parent1[0]: (39) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( 
% 0.56/1.04    i2003_11_14_17_22_27794 ) }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := i2003_11_14_17_22_27794
% 0.56/1.04  end
% 0.56/1.04  substitution1:
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  subsumption: (54) {G1,W2,D2,L1,V0,M1} R(16,39) { alpha1( 
% 0.56/1.04    i2003_11_14_17_22_27794 ) }.
% 0.56/1.04  parent0: (2940) {G1,W2,D2,L1,V0,M1}  { alpha1( i2003_11_14_17_22_27794 )
% 0.56/1.04     }.
% 0.56/1.04  substitution0:
% 0.56/1.04  end
% 0.56/1.04  permutation0:
% 0.56/1.04     0 ==> 0
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  eqswap: (2941) {G1,W5,D2,L2,V1,M2}  { ! X = i2003_11_14_17_22_27794, 
% 0.56/1.04    cUnsatisfiable( X ) }.
% 0.56/1.04  parent0[0]: (42) {G1,W5,D2,L2,V1,M2} R(0,39) { ! i2003_11_14_17_22_27794 = 
% 0.56/1.04    X, cUnsatisfiable( X ) }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := X
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  resolution: (2942) {G1,W5,D2,L2,V1,M2}  { alpha1( X ), ! X = 
% 0.56/1.04    i2003_11_14_17_22_27794 }.
% 0.56/1.04  parent0[0]: (16) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X )
% 0.56/1.04     }.
% 0.56/1.04  parent1[1]: (2941) {G1,W5,D2,L2,V1,M2}  { ! X = i2003_11_14_17_22_27794, 
% 0.56/1.04    cUnsatisfiable( X ) }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := X
% 0.56/1.04  end
% 0.56/1.04  substitution1:
% 0.56/1.04     X := X
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  eqswap: (2943) {G1,W5,D2,L2,V1,M2}  { ! i2003_11_14_17_22_27794 = X, alpha1
% 0.56/1.04    ( X ) }.
% 0.56/1.04  parent0[1]: (2942) {G1,W5,D2,L2,V1,M2}  { alpha1( X ), ! X = 
% 0.56/1.04    i2003_11_14_17_22_27794 }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := X
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  subsumption: (59) {G2,W5,D2,L2,V1,M2} R(42,16) { ! i2003_11_14_17_22_27794 
% 0.56/1.04    = X, alpha1( X ) }.
% 0.56/1.04  parent0: (2943) {G1,W5,D2,L2,V1,M2}  { ! i2003_11_14_17_22_27794 = X, 
% 0.56/1.04    alpha1( X ) }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := X
% 0.56/1.04  end
% 0.56/1.04  permutation0:
% 0.56/1.04     0 ==> 0
% 0.56/1.04     1 ==> 1
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  eqswap: (2944) {G1,W5,D2,L2,V1,M2}  { ! X = i2003_11_14_17_22_27794, 
% 0.56/1.04    cUnsatisfiable( X ) }.
% 0.56/1.04  parent0[0]: (42) {G1,W5,D2,L2,V1,M2} R(0,39) { ! i2003_11_14_17_22_27794 = 
% 0.56/1.04    X, cUnsatisfiable( X ) }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := X
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  resolution: (2945) {G2,W5,D2,L2,V1,M2}  { alpha3( X ), ! X = 
% 0.56/1.04    i2003_11_14_17_22_27794 }.
% 0.56/1.04  parent0[0]: (43) {G1,W4,D2,L2,V1,M2} R(17,19) { ! cUnsatisfiable( X ), 
% 0.56/1.04    alpha3( X ) }.
% 0.56/1.04  parent1[1]: (2944) {G1,W5,D2,L2,V1,M2}  { ! X = i2003_11_14_17_22_27794, 
% 0.56/1.04    cUnsatisfiable( X ) }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := X
% 0.56/1.04  end
% 0.56/1.04  substitution1:
% 0.56/1.04     X := X
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  eqswap: (2946) {G2,W5,D2,L2,V1,M2}  { ! i2003_11_14_17_22_27794 = X, alpha3
% 0.56/1.04    ( X ) }.
% 0.56/1.04  parent0[1]: (2945) {G2,W5,D2,L2,V1,M2}  { alpha3( X ), ! X = 
% 0.56/1.04    i2003_11_14_17_22_27794 }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := X
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  subsumption: (61) {G2,W5,D2,L2,V1,M2} R(42,43) { ! i2003_11_14_17_22_27794 
% 0.56/1.04    = X, alpha3( X ) }.
% 0.56/1.04  parent0: (2946) {G2,W5,D2,L2,V1,M2}  { ! i2003_11_14_17_22_27794 = X, 
% 0.56/1.04    alpha3( X ) }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := X
% 0.56/1.04  end
% 0.56/1.04  permutation0:
% 0.56/1.04     0 ==> 0
% 0.56/1.04     1 ==> 1
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  resolution: (2947) {G1,W3,D3,L1,V1,M1}  { cc( skol3( X ) ) }.
% 0.56/1.04  parent0[0]: (31) {G0,W5,D3,L2,V2,M2} I { ! alpha1( X ), cc( skol3( Y ) )
% 0.56/1.04     }.
% 0.56/1.04  parent1[0]: (54) {G1,W2,D2,L1,V0,M1} R(16,39) { alpha1( 
% 0.56/1.04    i2003_11_14_17_22_27794 ) }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := i2003_11_14_17_22_27794
% 0.56/1.04     Y := X
% 0.56/1.04  end
% 0.56/1.04  substitution1:
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  subsumption: (65) {G2,W3,D3,L1,V1,M1} R(31,54) { cc( skol3( X ) ) }.
% 0.56/1.04  parent0: (2947) {G1,W3,D3,L1,V1,M1}  { cc( skol3( X ) ) }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := X
% 0.56/1.04  end
% 0.56/1.04  permutation0:
% 0.56/1.04     0 ==> 0
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  resolution: (2948) {G1,W3,D3,L1,V1,M1}  { cdxcomp( skol3( X ) ) }.
% 0.56/1.04  parent0[0]: (34) {G0,W4,D2,L2,V1,M2} I { ! cc( X ), cdxcomp( X ) }.
% 0.56/1.04  parent1[0]: (65) {G2,W3,D3,L1,V1,M1} R(31,54) { cc( skol3( X ) ) }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := skol3( X )
% 0.56/1.04  end
% 0.56/1.04  substitution1:
% 0.56/1.04     X := X
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  subsumption: (69) {G3,W3,D3,L1,V1,M1} R(65,34) { cdxcomp( skol3( X ) ) }.
% 0.56/1.04  parent0: (2948) {G1,W3,D3,L1,V1,M1}  { cdxcomp( skol3( X ) ) }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := X
% 0.56/1.04  end
% 0.56/1.04  permutation0:
% 0.56/1.04     0 ==> 0
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  eqswap: (2949) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! cdxcomp( X ), cdxcomp( Y )
% 0.56/1.04     }.
% 0.56/1.04  parent0[0]: (3) {G0,W7,D2,L3,V2,M3} I { ! Y = X, ! cdxcomp( Y ), cdxcomp( X
% 0.56/1.04     ) }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := Y
% 0.56/1.04     Y := X
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  resolution: (2950) {G1,W6,D3,L2,V2,M2}  { ! X = skol3( Y ), cdxcomp( X )
% 0.56/1.04     }.
% 0.56/1.04  parent0[1]: (2949) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! cdxcomp( X ), cdxcomp
% 0.56/1.04    ( Y ) }.
% 0.56/1.04  parent1[0]: (69) {G3,W3,D3,L1,V1,M1} R(65,34) { cdxcomp( skol3( X ) ) }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := skol3( Y )
% 0.56/1.04     Y := X
% 0.56/1.04  end
% 0.56/1.04  substitution1:
% 0.56/1.04     X := Y
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  eqswap: (2951) {G1,W6,D3,L2,V2,M2}  { ! skol3( Y ) = X, cdxcomp( X ) }.
% 0.56/1.04  parent0[0]: (2950) {G1,W6,D3,L2,V2,M2}  { ! X = skol3( Y ), cdxcomp( X )
% 0.56/1.04     }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := X
% 0.56/1.04     Y := Y
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  subsumption: (70) {G4,W6,D3,L2,V2,M2} R(69,3) { ! skol3( X ) = Y, cdxcomp( 
% 0.56/1.04    Y ) }.
% 0.56/1.04  parent0: (2951) {G1,W6,D3,L2,V2,M2}  { ! skol3( Y ) = X, cdxcomp( X ) }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := Y
% 0.56/1.04     Y := X
% 0.56/1.04  end
% 0.56/1.04  permutation0:
% 0.56/1.04     0 ==> 0
% 0.56/1.04     1 ==> 1
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  resolution: (2952) {G1,W3,D3,L1,V1,M1}  { cd( skol2( X ) ) }.
% 0.56/1.04  parent0[0]: (28) {G0,W5,D3,L2,V2,M2} I { ! alpha3( X ), cd( skol2( Y ) )
% 0.56/1.04     }.
% 0.56/1.04  parent1[0]: (47) {G2,W2,D2,L1,V0,M1} R(46,19) { alpha3( 
% 0.56/1.04    i2003_11_14_17_22_27794 ) }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := i2003_11_14_17_22_27794
% 0.56/1.04     Y := X
% 0.56/1.04  end
% 0.56/1.04  substitution1:
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  subsumption: (75) {G3,W3,D3,L1,V1,M1} R(28,47) { cd( skol2( X ) ) }.
% 0.56/1.04  parent0: (2952) {G1,W3,D3,L1,V1,M1}  { cd( skol2( X ) ) }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := X
% 0.56/1.04  end
% 0.56/1.04  permutation0:
% 0.56/1.04     0 ==> 0
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  resolution: (2953) {G1,W4,D3,L1,V2,M1}  { ! ra_Px1( skol2( X ), Y ) }.
% 0.56/1.04  parent0[0]: (35) {G0,W5,D2,L2,V2,M2} I { ! cd( X ), ! ra_Px1( X, Y ) }.
% 0.56/1.04  parent1[0]: (75) {G3,W3,D3,L1,V1,M1} R(28,47) { cd( skol2( X ) ) }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := skol2( X )
% 0.56/1.04     Y := Y
% 0.56/1.04  end
% 0.56/1.04  substitution1:
% 0.56/1.04     X := X
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  subsumption: (76) {G4,W4,D3,L1,V2,M1} R(75,35) { ! ra_Px1( skol2( X ), Y )
% 0.56/1.04     }.
% 0.56/1.04  parent0: (2953) {G1,W4,D3,L1,V2,M1}  { ! ra_Px1( skol2( X ), Y ) }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := X
% 0.56/1.04     Y := Y
% 0.56/1.04  end
% 0.56/1.04  permutation0:
% 0.56/1.04     0 ==> 0
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  resolution: (2954) {G1,W3,D3,L1,V1,M1}  { ! cdxcomp( skol2( X ) ) }.
% 0.56/1.04  parent0[0]: (76) {G4,W4,D3,L1,V2,M1} R(75,35) { ! ra_Px1( skol2( X ), Y )
% 0.56/1.04     }.
% 0.56/1.04  parent1[1]: (37) {G0,W6,D3,L2,V1,M2} I { ! cdxcomp( X ), ra_Px1( X, skol5( 
% 0.56/1.04    X ) ) }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := X
% 0.56/1.04     Y := skol5( skol2( X ) )
% 0.56/1.04  end
% 0.56/1.04  substitution1:
% 0.56/1.04     X := skol2( X )
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  subsumption: (91) {G5,W3,D3,L1,V1,M1} R(37,76) { ! cdxcomp( skol2( X ) )
% 0.56/1.04     }.
% 0.56/1.04  parent0: (2954) {G1,W3,D3,L1,V1,M1}  { ! cdxcomp( skol2( X ) ) }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := X
% 0.56/1.04  end
% 0.56/1.04  permutation0:
% 0.56/1.04     0 ==> 0
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  eqswap: (2955) {G4,W6,D3,L2,V2,M2}  { ! Y = skol3( X ), cdxcomp( Y ) }.
% 0.56/1.04  parent0[0]: (70) {G4,W6,D3,L2,V2,M2} R(69,3) { ! skol3( X ) = Y, cdxcomp( Y
% 0.56/1.04     ) }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := X
% 0.56/1.04     Y := Y
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  resolution: (2956) {G5,W5,D3,L1,V2,M1}  { ! skol2( X ) = skol3( Y ) }.
% 0.56/1.04  parent0[0]: (91) {G5,W3,D3,L1,V1,M1} R(37,76) { ! cdxcomp( skol2( X ) ) }.
% 0.56/1.04  parent1[1]: (2955) {G4,W6,D3,L2,V2,M2}  { ! Y = skol3( X ), cdxcomp( Y )
% 0.56/1.04     }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := X
% 0.56/1.04  end
% 0.56/1.04  substitution1:
% 0.56/1.04     X := Y
% 0.56/1.04     Y := skol2( X )
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  eqswap: (2957) {G5,W5,D3,L1,V2,M1}  { ! skol3( Y ) = skol2( X ) }.
% 0.56/1.04  parent0[0]: (2956) {G5,W5,D3,L1,V2,M1}  { ! skol2( X ) = skol3( Y ) }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := X
% 0.56/1.04     Y := Y
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  subsumption: (98) {G6,W5,D3,L1,V2,M1} R(91,70) { ! skol3( X ) = skol2( Y )
% 0.56/1.04     }.
% 0.56/1.04  parent0: (2957) {G5,W5,D3,L1,V2,M1}  { ! skol3( Y ) = skol2( X ) }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := Y
% 0.56/1.04     Y := X
% 0.56/1.04  end
% 0.56/1.04  permutation0:
% 0.56/1.04     0 ==> 0
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  eqswap: (2958) {G0,W9,D2,L3,V3,M3}  { Y = X, ! alpha4( Z ), ! alpha5( Z, X
% 0.56/1.04    , Y ) }.
% 0.56/1.04  parent0[2]: (22) {G0,W9,D2,L3,V3,M3} I { ! alpha4( X ), ! alpha5( X, Y, Z )
% 0.56/1.04    , Y = Z }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := Z
% 0.56/1.04     Y := X
% 0.56/1.04     Z := Y
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  resolution: (2959) {G1,W7,D2,L2,V2,M2}  { X = Y, ! alpha5( 
% 0.56/1.04    i2003_11_14_17_22_27794, Y, X ) }.
% 0.56/1.04  parent0[1]: (2958) {G0,W9,D2,L3,V3,M3}  { Y = X, ! alpha4( Z ), ! alpha5( Z
% 0.56/1.04    , X, Y ) }.
% 0.56/1.04  parent1[0]: (48) {G2,W2,D2,L1,V0,M1} R(46,20) { alpha4( 
% 0.56/1.04    i2003_11_14_17_22_27794 ) }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := Y
% 0.56/1.04     Y := X
% 0.56/1.04     Z := i2003_11_14_17_22_27794
% 0.56/1.04  end
% 0.56/1.04  substitution1:
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  eqswap: (2960) {G1,W7,D2,L2,V2,M2}  { Y = X, ! alpha5( 
% 0.56/1.04    i2003_11_14_17_22_27794, Y, X ) }.
% 0.56/1.04  parent0[0]: (2959) {G1,W7,D2,L2,V2,M2}  { X = Y, ! alpha5( 
% 0.56/1.04    i2003_11_14_17_22_27794, Y, X ) }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := X
% 0.56/1.04     Y := Y
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  subsumption: (157) {G3,W7,D2,L2,V2,M2} R(22,48) { ! alpha5( 
% 0.56/1.04    i2003_11_14_17_22_27794, X, Y ), X = Y }.
% 0.56/1.04  parent0: (2960) {G1,W7,D2,L2,V2,M2}  { Y = X, ! alpha5( 
% 0.56/1.04    i2003_11_14_17_22_27794, Y, X ) }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := Y
% 0.56/1.04     Y := X
% 0.56/1.04  end
% 0.56/1.04  permutation0:
% 0.56/1.04     0 ==> 1
% 0.56/1.04     1 ==> 0
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  eqswap: (2961) {G2,W5,D2,L2,V1,M2}  { ! X = i2003_11_14_17_22_27794, alpha1
% 0.56/1.04    ( X ) }.
% 0.56/1.04  parent0[0]: (59) {G2,W5,D2,L2,V1,M2} R(42,16) { ! i2003_11_14_17_22_27794 =
% 0.56/1.04     X, alpha1( X ) }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := X
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  resolution: (2962) {G1,W7,D3,L2,V1,M2}  { rr( X, skol3( X ) ), ! X = 
% 0.56/1.04    i2003_11_14_17_22_27794 }.
% 0.56/1.04  parent0[0]: (32) {G0,W6,D3,L2,V1,M2} I { ! alpha1( X ), rr( X, skol3( X ) )
% 0.56/1.04     }.
% 0.56/1.04  parent1[1]: (2961) {G2,W5,D2,L2,V1,M2}  { ! X = i2003_11_14_17_22_27794, 
% 0.56/1.04    alpha1( X ) }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := X
% 0.56/1.04  end
% 0.56/1.04  substitution1:
% 0.56/1.04     X := X
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  eqswap: (2963) {G1,W7,D3,L2,V1,M2}  { ! i2003_11_14_17_22_27794 = X, rr( X
% 0.56/1.04    , skol3( X ) ) }.
% 0.56/1.04  parent0[1]: (2962) {G1,W7,D3,L2,V1,M2}  { rr( X, skol3( X ) ), ! X = 
% 0.56/1.04    i2003_11_14_17_22_27794 }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := X
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  subsumption: (221) {G3,W7,D3,L2,V1,M2} R(32,59) { rr( X, skol3( X ) ), ! 
% 0.56/1.04    i2003_11_14_17_22_27794 = X }.
% 0.56/1.04  parent0: (2963) {G1,W7,D3,L2,V1,M2}  { ! i2003_11_14_17_22_27794 = X, rr( X
% 0.56/1.04    , skol3( X ) ) }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := X
% 0.56/1.04  end
% 0.56/1.04  permutation0:
% 0.56/1.04     0 ==> 1
% 0.56/1.04     1 ==> 0
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  eqswap: (2964) {G2,W5,D2,L2,V1,M2}  { ! X = i2003_11_14_17_22_27794, alpha3
% 0.56/1.04    ( X ) }.
% 0.56/1.04  parent0[0]: (61) {G2,W5,D2,L2,V1,M2} R(42,43) { ! i2003_11_14_17_22_27794 =
% 0.56/1.04     X, alpha3( X ) }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := X
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  resolution: (2965) {G1,W7,D3,L2,V1,M2}  { rr( X, skol2( X ) ), ! X = 
% 0.56/1.04    i2003_11_14_17_22_27794 }.
% 0.56/1.04  parent0[0]: (29) {G0,W6,D3,L2,V1,M2} I { ! alpha3( X ), rr( X, skol2( X ) )
% 0.56/1.04     }.
% 0.56/1.04  parent1[1]: (2964) {G2,W5,D2,L2,V1,M2}  { ! X = i2003_11_14_17_22_27794, 
% 0.56/1.04    alpha3( X ) }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := X
% 0.56/1.04  end
% 0.56/1.04  substitution1:
% 0.56/1.04     X := X
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  eqswap: (2966) {G1,W7,D3,L2,V1,M2}  { ! i2003_11_14_17_22_27794 = X, rr( X
% 0.56/1.04    , skol2( X ) ) }.
% 0.56/1.04  parent0[1]: (2965) {G1,W7,D3,L2,V1,M2}  { rr( X, skol2( X ) ), ! X = 
% 0.56/1.04    i2003_11_14_17_22_27794 }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := X
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  subsumption: (241) {G3,W7,D3,L2,V1,M2} R(29,61) { rr( X, skol2( X ) ), ! 
% 0.56/1.04    i2003_11_14_17_22_27794 = X }.
% 0.56/1.04  parent0: (2966) {G1,W7,D3,L2,V1,M2}  { ! i2003_11_14_17_22_27794 = X, rr( X
% 0.56/1.04    , skol2( X ) ) }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := X
% 0.56/1.04  end
% 0.56/1.04  permutation0:
% 0.56/1.04     0 ==> 1
% 0.56/1.04     1 ==> 0
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  eqswap: (2967) {G3,W7,D2,L2,V2,M2}  { Y = X, ! alpha5( 
% 0.56/1.04    i2003_11_14_17_22_27794, X, Y ) }.
% 0.56/1.04  parent0[1]: (157) {G3,W7,D2,L2,V2,M2} R(22,48) { ! alpha5( 
% 0.56/1.04    i2003_11_14_17_22_27794, X, Y ), X = Y }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := X
% 0.56/1.04     Y := Y
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  eqswap: (2968) {G6,W5,D3,L1,V2,M1}  { ! skol2( Y ) = skol3( X ) }.
% 0.56/1.04  parent0[0]: (98) {G6,W5,D3,L1,V2,M1} R(91,70) { ! skol3( X ) = skol2( Y )
% 0.56/1.04     }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := X
% 0.56/1.04     Y := Y
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  resolution: (2969) {G4,W6,D3,L1,V2,M1}  { ! alpha5( i2003_11_14_17_22_27794
% 0.56/1.04    , skol3( Y ), skol2( X ) ) }.
% 0.56/1.04  parent0[0]: (2968) {G6,W5,D3,L1,V2,M1}  { ! skol2( Y ) = skol3( X ) }.
% 0.56/1.04  parent1[0]: (2967) {G3,W7,D2,L2,V2,M2}  { Y = X, ! alpha5( 
% 0.56/1.04    i2003_11_14_17_22_27794, X, Y ) }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := Y
% 0.56/1.04     Y := X
% 0.56/1.04  end
% 0.56/1.04  substitution1:
% 0.56/1.04     X := skol3( Y )
% 0.56/1.04     Y := skol2( X )
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  subsumption: (302) {G7,W6,D3,L1,V2,M1} R(157,98) { ! alpha5( 
% 0.56/1.04    i2003_11_14_17_22_27794, skol3( X ), skol2( Y ) ) }.
% 0.56/1.04  parent0: (2969) {G4,W6,D3,L1,V2,M1}  { ! alpha5( i2003_11_14_17_22_27794, 
% 0.56/1.04    skol3( Y ), skol2( X ) ) }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := Y
% 0.56/1.04     Y := X
% 0.56/1.04  end
% 0.56/1.04  permutation0:
% 0.56/1.04     0 ==> 0
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  resolution: (2970) {G1,W8,D3,L2,V2,M2}  { ! rr( i2003_11_14_17_22_27794, 
% 0.56/1.04    skol3( X ) ), ! rr( i2003_11_14_17_22_27794, skol2( Y ) ) }.
% 0.56/1.04  parent0[0]: (302) {G7,W6,D3,L1,V2,M1} R(157,98) { ! alpha5( 
% 0.56/1.04    i2003_11_14_17_22_27794, skol3( X ), skol2( Y ) ) }.
% 0.56/1.04  parent1[2]: (27) {G0,W10,D2,L3,V3,M3} I { ! rr( X, Y ), ! rr( X, Z ), 
% 0.56/1.04    alpha5( X, Y, Z ) }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := X
% 0.56/1.04     Y := Y
% 0.56/1.04  end
% 0.56/1.04  substitution1:
% 0.56/1.04     X := i2003_11_14_17_22_27794
% 0.56/1.04     Y := skol3( X )
% 0.56/1.04     Z := skol2( Y )
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  subsumption: (462) {G8,W8,D3,L2,V2,M2} R(302,27) { ! rr( 
% 0.56/1.04    i2003_11_14_17_22_27794, skol3( X ) ), ! rr( i2003_11_14_17_22_27794, 
% 0.56/1.04    skol2( Y ) ) }.
% 0.56/1.04  parent0: (2970) {G1,W8,D3,L2,V2,M2}  { ! rr( i2003_11_14_17_22_27794, skol3
% 0.56/1.04    ( X ) ), ! rr( i2003_11_14_17_22_27794, skol2( Y ) ) }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := X
% 0.56/1.04     Y := Y
% 0.56/1.04  end
% 0.56/1.04  permutation0:
% 0.56/1.04     0 ==> 0
% 0.56/1.04     1 ==> 1
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  eqswap: (2971) {G3,W7,D3,L2,V1,M2}  { ! X = i2003_11_14_17_22_27794, rr( X
% 0.56/1.04    , skol3( X ) ) }.
% 0.56/1.04  parent0[1]: (221) {G3,W7,D3,L2,V1,M2} R(32,59) { rr( X, skol3( X ) ), ! 
% 0.56/1.04    i2003_11_14_17_22_27794 = X }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := X
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  resolution: (2972) {G4,W7,D3,L2,V1,M2}  { ! rr( i2003_11_14_17_22_27794, 
% 0.56/1.04    skol2( X ) ), ! i2003_11_14_17_22_27794 = i2003_11_14_17_22_27794 }.
% 0.56/1.04  parent0[0]: (462) {G8,W8,D3,L2,V2,M2} R(302,27) { ! rr( 
% 0.56/1.04    i2003_11_14_17_22_27794, skol3( X ) ), ! rr( i2003_11_14_17_22_27794, 
% 0.56/1.04    skol2( Y ) ) }.
% 0.56/1.04  parent1[1]: (2971) {G3,W7,D3,L2,V1,M2}  { ! X = i2003_11_14_17_22_27794, rr
% 0.56/1.04    ( X, skol3( X ) ) }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := i2003_11_14_17_22_27794
% 0.56/1.04     Y := X
% 0.56/1.04  end
% 0.56/1.04  substitution1:
% 0.56/1.04     X := i2003_11_14_17_22_27794
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  eqrefl: (2973) {G0,W4,D3,L1,V1,M1}  { ! rr( i2003_11_14_17_22_27794, skol2
% 0.56/1.04    ( X ) ) }.
% 0.56/1.04  parent0[1]: (2972) {G4,W7,D3,L2,V1,M2}  { ! rr( i2003_11_14_17_22_27794, 
% 0.56/1.04    skol2( X ) ), ! i2003_11_14_17_22_27794 = i2003_11_14_17_22_27794 }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := X
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  subsumption: (2681) {G9,W4,D3,L1,V1,M1} R(462,221);q { ! rr( 
% 0.56/1.04    i2003_11_14_17_22_27794, skol2( X ) ) }.
% 0.56/1.04  parent0: (2973) {G0,W4,D3,L1,V1,M1}  { ! rr( i2003_11_14_17_22_27794, skol2
% 0.56/1.04    ( X ) ) }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := X
% 0.56/1.04  end
% 0.56/1.04  permutation0:
% 0.56/1.04     0 ==> 0
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  eqswap: (2974) {G3,W7,D3,L2,V1,M2}  { ! X = i2003_11_14_17_22_27794, rr( X
% 0.56/1.04    , skol2( X ) ) }.
% 0.56/1.04  parent0[1]: (241) {G3,W7,D3,L2,V1,M2} R(29,61) { rr( X, skol2( X ) ), ! 
% 0.56/1.04    i2003_11_14_17_22_27794 = X }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := X
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  resolution: (2975) {G4,W3,D2,L1,V0,M1}  { ! i2003_11_14_17_22_27794 = 
% 0.56/1.04    i2003_11_14_17_22_27794 }.
% 0.56/1.04  parent0[0]: (2681) {G9,W4,D3,L1,V1,M1} R(462,221);q { ! rr( 
% 0.56/1.04    i2003_11_14_17_22_27794, skol2( X ) ) }.
% 0.56/1.04  parent1[1]: (2974) {G3,W7,D3,L2,V1,M2}  { ! X = i2003_11_14_17_22_27794, rr
% 0.56/1.04    ( X, skol2( X ) ) }.
% 0.56/1.04  substitution0:
% 0.56/1.04     X := i2003_11_14_17_22_27794
% 0.56/1.04  end
% 0.56/1.04  substitution1:
% 0.56/1.04     X := i2003_11_14_17_22_27794
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  eqrefl: (2976) {G0,W0,D0,L0,V0,M0}  {  }.
% 0.56/1.04  parent0[0]: (2975) {G4,W3,D2,L1,V0,M1}  { ! i2003_11_14_17_22_27794 = 
% 0.56/1.04    i2003_11_14_17_22_27794 }.
% 0.56/1.04  substitution0:
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  subsumption: (2690) {G10,W0,D0,L0,V0,M0} R(2681,241);q {  }.
% 0.56/1.04  parent0: (2976) {G0,W0,D0,L0,V0,M0}  {  }.
% 0.56/1.04  substitution0:
% 0.56/1.04  end
% 0.56/1.04  permutation0:
% 0.56/1.04  end
% 0.56/1.04  
% 0.56/1.04  Proof check complete!
% 0.56/1.04  
% 0.56/1.04  Memory use:
% 0.56/1.04  
% 0.56/1.04  space for terms:        36937
% 0.56/1.04  space for clauses:      100101
% 0.56/1.04  
% 0.56/1.04  
% 0.56/1.04  clauses generated:      9041
% 0.56/1.04  clauses kept:           2691
% 0.56/1.04  clauses selected:       303
% 0.56/1.04  clauses deleted:        13
% 0.56/1.04  clauses inuse deleted:  2
% 0.56/1.04  
% 0.56/1.04  subsentry:          35503
% 0.56/1.04  literals s-matched: 25312
% 0.56/1.04  literals matched:   24150
% 0.56/1.04  full subsumption:   11134
% 0.56/1.04  
% 0.56/1.04  checksum:           1893327212
% 0.56/1.04  
% 0.56/1.04  
% 0.56/1.04  Bliksem ended
%------------------------------------------------------------------------------