TSTP Solution File: KRS085+1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : KRS085+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 02:42:11 EDT 2022

% Result   : Unsatisfiable 0.45s 0.91s
% Output   : Refutation 0.45s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : KRS085+1 : TPTP v8.1.0. Released v3.1.0.
% 0.00/0.09  % Command  : bliksem %s
% 0.08/0.28  % Computer : n032.cluster.edu
% 0.08/0.28  % Model    : x86_64 x86_64
% 0.08/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28  % Memory   : 8042.1875MB
% 0.08/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28  % CPULimit : 300
% 0.08/0.28  % DateTime : Tue Jun  7 08:28:05 EDT 2022
% 0.08/0.28  % CPUTime  : 
% 0.45/0.91  *** allocated 10000 integers for termspace/termends
% 0.45/0.91  *** allocated 10000 integers for clauses
% 0.45/0.91  *** allocated 10000 integers for justifications
% 0.45/0.91  Bliksem 1.12
% 0.45/0.91  
% 0.45/0.91  
% 0.45/0.91  Automatic Strategy Selection
% 0.45/0.91  
% 0.45/0.91  
% 0.45/0.91  Clauses:
% 0.45/0.91  
% 0.45/0.91  { ! Y = X, ! cUnsatisfiable( Y ), cUnsatisfiable( X ) }.
% 0.45/0.91  { ! Y = X, ! cowlNothing( Y ), cowlNothing( X ) }.
% 0.45/0.91  { ! Y = X, ! cowlThing( Y ), cowlThing( X ) }.
% 0.45/0.91  { ! Y = X, ! cp1( Y ), cp1( X ) }.
% 0.45/0.91  { ! Z = X, ! rf( Z, Y ), rf( X, Y ) }.
% 0.45/0.91  { ! Z = X, ! rf( Y, Z ), rf( Y, X ) }.
% 0.45/0.91  { ! Z = X, ! rinvF( Z, Y ), rinvF( X, Y ) }.
% 0.45/0.91  { ! Z = X, ! rinvF( Y, Z ), rinvF( Y, X ) }.
% 0.45/0.91  { ! Z = X, ! rinvR( Z, Y ), rinvR( X, Y ) }.
% 0.45/0.91  { ! Z = X, ! rinvR( Y, Z ), rinvR( Y, X ) }.
% 0.45/0.91  { ! Z = X, ! rr( Z, Y ), rr( X, Y ) }.
% 0.45/0.91  { ! Z = X, ! rr( Y, Z ), rr( Y, X ) }.
% 0.45/0.91  { ! Y = X, ! xsd_integer( Y ), xsd_integer( X ) }.
% 0.45/0.91  { ! Y = X, ! xsd_string( Y ), xsd_string( X ) }.
% 0.45/0.91  { cowlThing( X ) }.
% 0.45/0.91  { ! cowlNothing( X ) }.
% 0.45/0.91  { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.45/0.91  { xsd_integer( X ), xsd_string( X ) }.
% 0.45/0.91  { ! cUnsatisfiable( X ), alpha1( X ) }.
% 0.45/0.91  { ! cUnsatisfiable( X ), cp1( X ) }.
% 0.45/0.91  { ! alpha1( X ), ! cp1( X ), cUnsatisfiable( X ) }.
% 0.45/0.91  { ! alpha1( X ), alpha2( skol1( Y ) ) }.
% 0.45/0.91  { ! alpha1( X ), rr( X, skol1( X ) ) }.
% 0.45/0.91  { ! rr( X, Y ), ! alpha2( Y ), alpha1( X ) }.
% 0.45/0.91  { ! alpha2( X ), alpha3( skol2( Y ) ) }.
% 0.45/0.91  { ! alpha2( X ), rr( X, skol2( X ) ) }.
% 0.45/0.91  { ! rr( X, Y ), ! alpha3( Y ), alpha2( X ) }.
% 0.45/0.91  { ! alpha3( X ), cp1( X ) }.
% 0.45/0.91  { ! alpha3( X ), alpha4( X ) }.
% 0.45/0.91  { ! cp1( X ), ! alpha4( X ), alpha3( X ) }.
% 0.45/0.91  { ! alpha4( X ), ! rinvR( X, Y ), ! cp1( Y ) }.
% 0.45/0.91  { cp1( skol3( Y ) ), alpha4( X ) }.
% 0.45/0.91  { rinvR( X, skol3( X ) ), alpha4( X ) }.
% 0.45/0.91  { ! cowlThing( X ), ! rf( X, Y ), ! rf( X, Z ), Y = Z }.
% 0.45/0.91  { ! rinvF( X, Y ), rf( Y, X ) }.
% 0.45/0.91  { ! rf( Y, X ), rinvF( X, Y ) }.
% 0.45/0.91  { ! rinvR( X, Y ), rr( Y, X ) }.
% 0.45/0.91  { ! rr( Y, X ), rinvR( X, Y ) }.
% 0.45/0.91  { ! rr( X, Z ), ! rr( Z, Y ), rr( X, Y ) }.
% 0.45/0.91  { cUnsatisfiable( i2003_11_14_17_19_39537 ) }.
% 0.45/0.91  
% 0.45/0.91  percentage equality = 0.151515, percentage horn = 0.925000
% 0.45/0.91  This is a problem with some equality
% 0.45/0.91  
% 0.45/0.91  
% 0.45/0.91  
% 0.45/0.91  Options Used:
% 0.45/0.91  
% 0.45/0.91  useres =            1
% 0.45/0.91  useparamod =        1
% 0.45/0.91  useeqrefl =         1
% 0.45/0.91  useeqfact =         1
% 0.45/0.91  usefactor =         1
% 0.45/0.91  usesimpsplitting =  0
% 0.45/0.91  usesimpdemod =      5
% 0.45/0.91  usesimpres =        3
% 0.45/0.91  
% 0.45/0.91  resimpinuse      =  1000
% 0.45/0.91  resimpclauses =     20000
% 0.45/0.91  substype =          eqrewr
% 0.45/0.91  backwardsubs =      1
% 0.45/0.91  selectoldest =      5
% 0.45/0.91  
% 0.45/0.91  litorderings [0] =  split
% 0.45/0.91  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.45/0.91  
% 0.45/0.91  termordering =      kbo
% 0.45/0.91  
% 0.45/0.91  litapriori =        0
% 0.45/0.91  termapriori =       1
% 0.45/0.91  litaposteriori =    0
% 0.45/0.91  termaposteriori =   0
% 0.45/0.91  demodaposteriori =  0
% 0.45/0.91  ordereqreflfact =   0
% 0.45/0.91  
% 0.45/0.91  litselect =         negord
% 0.45/0.91  
% 0.45/0.91  maxweight =         15
% 0.45/0.91  maxdepth =          30000
% 0.45/0.91  maxlength =         115
% 0.45/0.91  maxnrvars =         195
% 0.45/0.91  excuselevel =       1
% 0.45/0.91  increasemaxweight = 1
% 0.45/0.91  
% 0.45/0.91  maxselected =       10000000
% 0.45/0.91  maxnrclauses =      10000000
% 0.45/0.91  
% 0.45/0.91  showgenerated =    0
% 0.45/0.91  showkept =         0
% 0.45/0.91  showselected =     0
% 0.45/0.91  showdeleted =      0
% 0.45/0.91  showresimp =       1
% 0.45/0.91  showstatus =       2000
% 0.45/0.91  
% 0.45/0.91  prologoutput =     0
% 0.45/0.91  nrgoals =          5000000
% 0.45/0.91  totalproof =       1
% 0.45/0.91  
% 0.45/0.91  Symbols occurring in the translation:
% 0.45/0.91  
% 0.45/0.91  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.45/0.91  .  [1, 2]      (w:1, o:34, a:1, s:1, b:0), 
% 0.45/0.91  !  [4, 1]      (w:0, o:16, a:1, s:1, b:0), 
% 0.45/0.91  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.45/0.91  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.45/0.91  cUnsatisfiable  [37, 1]      (w:1, o:21, a:1, s:1, b:0), 
% 0.45/0.91  cowlNothing  [38, 1]      (w:1, o:22, a:1, s:1, b:0), 
% 0.45/0.91  cowlThing  [39, 1]      (w:1, o:23, a:1, s:1, b:0), 
% 0.45/0.91  cp1  [40, 1]      (w:1, o:24, a:1, s:1, b:0), 
% 0.45/0.91  rf  [42, 2]      (w:1, o:58, a:1, s:1, b:0), 
% 0.45/0.91  rinvF  [43, 2]      (w:1, o:59, a:1, s:1, b:0), 
% 0.45/0.91  rinvR  [44, 2]      (w:1, o:60, a:1, s:1, b:0), 
% 0.45/0.91  rr  [45, 2]      (w:1, o:61, a:1, s:1, b:0), 
% 0.45/0.91  xsd_integer  [46, 1]      (w:1, o:25, a:1, s:1, b:0), 
% 0.45/0.91  xsd_string  [47, 1]      (w:1, o:26, a:1, s:1, b:0), 
% 0.45/0.91  i2003_11_14_17_19_39537  [54, 0]      (w:1, o:15, a:1, s:1, b:0), 
% 0.45/0.91  alpha1  [55, 1]      (w:1, o:27, a:1, s:1, b:1), 
% 0.45/0.91  alpha2  [56, 1]      (w:1, o:28, a:1, s:1, b:1), 
% 0.45/0.91  alpha3  [57, 1]      (w:1, o:29, a:1, s:1, b:1), 
% 0.45/0.91  alpha4  [58, 1]      (w:1, o:30, a:1, s:1, b:1), 
% 0.45/0.91  skol1  [59, 1]      (w:1, o:31, a:1, s:1, b:1), 
% 0.45/0.91  skol2  [60, 1]      (w:1, o:32, a:1, s:1, b:1), 
% 0.45/0.91  skol3  [61, 1]      (w:1, o:33, a:1, s:1, b:1).
% 0.45/0.91  
% 0.45/0.91  
% 0.45/0.91  Starting Search:
% 0.45/0.91  
% 0.45/0.91  *** allocated 15000 integers for clauses
% 0.45/0.91  *** allocated 22500 integers for clauses
% 0.45/0.91  *** allocated 33750 integers for clauses
% 0.45/0.91  *** allocated 15000 integers for termspace/termends
% 0.45/0.91  
% 0.45/0.91  Bliksems!, er is een bewijs:
% 0.45/0.91  % SZS status Unsatisfiable
% 0.45/0.91  % SZS output start Refutation
% 0.45/0.91  
% 0.45/0.91  (18) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X ) }.
% 0.45/0.91  (19) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), cp1( X ) }.
% 0.45/0.91  (21) {G0,W5,D3,L2,V2,M2} I { ! alpha1( X ), alpha2( skol1( Y ) ) }.
% 0.45/0.91  (22) {G0,W6,D3,L2,V1,M2} I { ! alpha1( X ), rr( X, skol1( X ) ) }.
% 0.45/0.91  (24) {G0,W5,D3,L2,V2,M2} I { ! alpha2( X ), alpha3( skol2( Y ) ) }.
% 0.45/0.91  (25) {G0,W6,D3,L2,V1,M2} I { ! alpha2( X ), rr( X, skol2( X ) ) }.
% 0.45/0.91  (26) {G0,W7,D2,L3,V2,M3} I { ! rr( X, Y ), ! alpha3( Y ), alpha2( X ) }.
% 0.45/0.91  (28) {G0,W4,D2,L2,V1,M2} I { ! alpha3( X ), alpha4( X ) }.
% 0.45/0.91  (30) {G0,W7,D2,L3,V2,M3} I { ! alpha4( X ), ! rinvR( X, Y ), ! cp1( Y ) }.
% 0.45/0.91  (37) {G0,W6,D2,L2,V2,M2} I { ! rr( Y, X ), rinvR( X, Y ) }.
% 0.45/0.91  (38) {G0,W9,D2,L3,V3,M3} I { ! rr( X, Z ), ! rr( Z, Y ), rr( X, Y ) }.
% 0.45/0.91  (39) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( i2003_11_14_17_19_39537 ) }.
% 0.45/0.91  (43) {G1,W2,D2,L1,V0,M1} R(19,39) { cp1( i2003_11_14_17_19_39537 ) }.
% 0.45/0.91  (45) {G1,W2,D2,L1,V0,M1} R(18,39) { alpha1( i2003_11_14_17_19_39537 ) }.
% 0.45/0.91  (50) {G1,W5,D3,L2,V2,M2} R(24,28) { ! alpha2( X ), alpha4( skol2( Y ) ) }.
% 0.45/0.91  (60) {G2,W3,D3,L1,V1,M1} R(21,45) { alpha2( skol1( X ) ) }.
% 0.45/0.91  (61) {G3,W3,D3,L1,V1,M1} R(60,50) { alpha4( skol2( X ) ) }.
% 0.45/0.91  (63) {G3,W3,D3,L1,V1,M1} R(60,24) { alpha3( skol2( X ) ) }.
% 0.45/0.91  (116) {G1,W6,D3,L2,V1,M2} R(25,37) { ! alpha2( X ), rinvR( skol2( X ), X )
% 0.45/0.91     }.
% 0.45/0.91  (117) {G3,W6,D4,L1,V1,M1} R(25,60) { rr( skol1( X ), skol2( skol1( X ) ) )
% 0.45/0.91     }.
% 0.45/0.91  (124) {G1,W6,D3,L2,V1,M2} R(22,18) { rr( X, skol1( X ) ), ! cUnsatisfiable
% 0.45/0.91    ( X ) }.
% 0.45/0.91  (179) {G4,W4,D2,L2,V1,M2} R(30,116);r(61) { ! cp1( X ), ! alpha2( X ) }.
% 0.45/0.91  (230) {G5,W2,D2,L1,V0,M1} R(179,43) { ! alpha2( i2003_11_14_17_19_39537 )
% 0.45/0.91     }.
% 0.45/0.91  (247) {G6,W5,D2,L2,V1,M2} R(230,26) { ! rr( i2003_11_14_17_19_39537, X ), !
% 0.45/0.91     alpha3( X ) }.
% 0.45/0.91  (353) {G7,W4,D3,L1,V1,M1} R(247,63) { ! rr( i2003_11_14_17_19_39537, skol2
% 0.45/0.91    ( X ) ) }.
% 0.45/0.91  (355) {G8,W7,D3,L2,V2,M2} R(353,38) { ! rr( i2003_11_14_17_19_39537, X ), !
% 0.45/0.91     rr( X, skol2( Y ) ) }.
% 0.45/0.91  (851) {G9,W4,D3,L1,V1,M1} R(355,117) { ! rr( i2003_11_14_17_19_39537, skol1
% 0.45/0.91    ( X ) ) }.
% 0.45/0.91  (863) {G10,W0,D0,L0,V0,M0} R(851,124);r(39) {  }.
% 0.45/0.91  
% 0.45/0.91  
% 0.45/0.91  % SZS output end Refutation
% 0.45/0.91  found a proof!
% 0.45/0.91  
% 0.45/0.91  *** allocated 50625 integers for clauses
% 0.45/0.91  
% 0.45/0.91  Unprocessed initial clauses:
% 0.45/0.91  
% 0.45/0.91  (865) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! cUnsatisfiable( Y ), cUnsatisfiable
% 0.45/0.91    ( X ) }.
% 0.45/0.91  (866) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! cowlNothing( Y ), cowlNothing( X )
% 0.45/0.91     }.
% 0.45/0.91  (867) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! cowlThing( Y ), cowlThing( X ) }.
% 0.45/0.91  (868) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! cp1( Y ), cp1( X ) }.
% 0.45/0.91  (869) {G0,W9,D2,L3,V3,M3}  { ! Z = X, ! rf( Z, Y ), rf( X, Y ) }.
% 0.45/0.91  (870) {G0,W9,D2,L3,V3,M3}  { ! Z = X, ! rf( Y, Z ), rf( Y, X ) }.
% 0.45/0.91  (871) {G0,W9,D2,L3,V3,M3}  { ! Z = X, ! rinvF( Z, Y ), rinvF( X, Y ) }.
% 0.45/0.91  (872) {G0,W9,D2,L3,V3,M3}  { ! Z = X, ! rinvF( Y, Z ), rinvF( Y, X ) }.
% 0.45/0.91  (873) {G0,W9,D2,L3,V3,M3}  { ! Z = X, ! rinvR( Z, Y ), rinvR( X, Y ) }.
% 0.45/0.91  (874) {G0,W9,D2,L3,V3,M3}  { ! Z = X, ! rinvR( Y, Z ), rinvR( Y, X ) }.
% 0.45/0.91  (875) {G0,W9,D2,L3,V3,M3}  { ! Z = X, ! rr( Z, Y ), rr( X, Y ) }.
% 0.45/0.91  (876) {G0,W9,D2,L3,V3,M3}  { ! Z = X, ! rr( Y, Z ), rr( Y, X ) }.
% 0.45/0.91  (877) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! xsd_integer( Y ), xsd_integer( X )
% 0.45/0.91     }.
% 0.45/0.91  (878) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! xsd_string( Y ), xsd_string( X )
% 0.45/0.91     }.
% 0.45/0.91  (879) {G0,W2,D2,L1,V1,M1}  { cowlThing( X ) }.
% 0.45/0.91  (880) {G0,W2,D2,L1,V1,M1}  { ! cowlNothing( X ) }.
% 0.45/0.91  (881) {G0,W4,D2,L2,V1,M2}  { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.45/0.91  (882) {G0,W4,D2,L2,V1,M2}  { xsd_integer( X ), xsd_string( X ) }.
% 0.45/0.91  (883) {G0,W4,D2,L2,V1,M2}  { ! cUnsatisfiable( X ), alpha1( X ) }.
% 0.45/0.91  (884) {G0,W4,D2,L2,V1,M2}  { ! cUnsatisfiable( X ), cp1( X ) }.
% 0.45/0.91  (885) {G0,W6,D2,L3,V1,M3}  { ! alpha1( X ), ! cp1( X ), cUnsatisfiable( X )
% 0.45/0.91     }.
% 0.45/0.91  (886) {G0,W5,D3,L2,V2,M2}  { ! alpha1( X ), alpha2( skol1( Y ) ) }.
% 0.45/0.91  (887) {G0,W6,D3,L2,V1,M2}  { ! alpha1( X ), rr( X, skol1( X ) ) }.
% 0.45/0.91  (888) {G0,W7,D2,L3,V2,M3}  { ! rr( X, Y ), ! alpha2( Y ), alpha1( X ) }.
% 0.45/0.91  (889) {G0,W5,D3,L2,V2,M2}  { ! alpha2( X ), alpha3( skol2( Y ) ) }.
% 0.45/0.91  (890) {G0,W6,D3,L2,V1,M2}  { ! alpha2( X ), rr( X, skol2( X ) ) }.
% 0.45/0.91  (891) {G0,W7,D2,L3,V2,M3}  { ! rr( X, Y ), ! alpha3( Y ), alpha2( X ) }.
% 0.45/0.91  (892) {G0,W4,D2,L2,V1,M2}  { ! alpha3( X ), cp1( X ) }.
% 0.45/0.91  (893) {G0,W4,D2,L2,V1,M2}  { ! alpha3( X ), alpha4( X ) }.
% 0.45/0.91  (894) {G0,W6,D2,L3,V1,M3}  { ! cp1( X ), ! alpha4( X ), alpha3( X ) }.
% 0.45/0.91  (895) {G0,W7,D2,L3,V2,M3}  { ! alpha4( X ), ! rinvR( X, Y ), ! cp1( Y ) }.
% 0.45/0.91  (896) {G0,W5,D3,L2,V2,M2}  { cp1( skol3( Y ) ), alpha4( X ) }.
% 0.45/0.91  (897) {G0,W6,D3,L2,V1,M2}  { rinvR( X, skol3( X ) ), alpha4( X ) }.
% 0.45/0.91  (898) {G0,W11,D2,L4,V3,M4}  { ! cowlThing( X ), ! rf( X, Y ), ! rf( X, Z )
% 0.45/0.91    , Y = Z }.
% 0.45/0.91  (899) {G0,W6,D2,L2,V2,M2}  { ! rinvF( X, Y ), rf( Y, X ) }.
% 0.45/0.91  (900) {G0,W6,D2,L2,V2,M2}  { ! rf( Y, X ), rinvF( X, Y ) }.
% 0.45/0.91  (901) {G0,W6,D2,L2,V2,M2}  { ! rinvR( X, Y ), rr( Y, X ) }.
% 0.45/0.91  (902) {G0,W6,D2,L2,V2,M2}  { ! rr( Y, X ), rinvR( X, Y ) }.
% 0.45/0.91  (903) {G0,W9,D2,L3,V3,M3}  { ! rr( X, Z ), ! rr( Z, Y ), rr( X, Y ) }.
% 0.45/0.91  (904) {G0,W2,D2,L1,V0,M1}  { cUnsatisfiable( i2003_11_14_17_19_39537 ) }.
% 0.45/0.91  
% 0.45/0.91  
% 0.45/0.91  Total Proof:
% 0.45/0.91  
% 0.45/0.91  subsumption: (18) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X
% 0.45/0.91     ) }.
% 0.45/0.91  parent0: (883) {G0,W4,D2,L2,V1,M2}  { ! cUnsatisfiable( X ), alpha1( X )
% 0.45/0.91     }.
% 0.45/0.91  substitution0:
% 0.45/0.91     X := X
% 0.45/0.91  end
% 0.45/0.91  permutation0:
% 0.45/0.91     0 ==> 0
% 0.45/0.91     1 ==> 1
% 0.45/0.91  end
% 0.45/0.91  
% 0.45/0.91  subsumption: (19) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), cp1( X )
% 0.45/0.91     }.
% 0.45/0.91  parent0: (884) {G0,W4,D2,L2,V1,M2}  { ! cUnsatisfiable( X ), cp1( X ) }.
% 0.45/0.91  substitution0:
% 0.45/0.91     X := X
% 0.45/0.91  end
% 0.45/0.91  permutation0:
% 0.45/0.91     0 ==> 0
% 0.45/0.91     1 ==> 1
% 0.45/0.91  end
% 0.45/0.91  
% 0.45/0.91  subsumption: (21) {G0,W5,D3,L2,V2,M2} I { ! alpha1( X ), alpha2( skol1( Y )
% 0.45/0.91     ) }.
% 0.45/0.91  parent0: (886) {G0,W5,D3,L2,V2,M2}  { ! alpha1( X ), alpha2( skol1( Y ) )
% 0.45/0.91     }.
% 0.45/0.91  substitution0:
% 0.45/0.91     X := X
% 0.45/0.91     Y := Y
% 0.45/0.91  end
% 0.45/0.91  permutation0:
% 0.45/0.91     0 ==> 0
% 0.45/0.91     1 ==> 1
% 0.45/0.91  end
% 0.45/0.91  
% 0.45/0.91  subsumption: (22) {G0,W6,D3,L2,V1,M2} I { ! alpha1( X ), rr( X, skol1( X )
% 0.45/0.91     ) }.
% 0.45/0.91  parent0: (887) {G0,W6,D3,L2,V1,M2}  { ! alpha1( X ), rr( X, skol1( X ) )
% 0.45/0.91     }.
% 0.45/0.91  substitution0:
% 0.45/0.91     X := X
% 0.45/0.91  end
% 0.45/0.91  permutation0:
% 0.45/0.91     0 ==> 0
% 0.45/0.91     1 ==> 1
% 0.45/0.91  end
% 0.45/0.91  
% 0.45/0.91  subsumption: (24) {G0,W5,D3,L2,V2,M2} I { ! alpha2( X ), alpha3( skol2( Y )
% 0.45/0.91     ) }.
% 0.45/0.91  parent0: (889) {G0,W5,D3,L2,V2,M2}  { ! alpha2( X ), alpha3( skol2( Y ) )
% 0.45/0.91     }.
% 0.45/0.91  substitution0:
% 0.45/0.91     X := X
% 0.45/0.91     Y := Y
% 0.45/0.91  end
% 0.45/0.91  permutation0:
% 0.45/0.91     0 ==> 0
% 0.45/0.91     1 ==> 1
% 0.45/0.91  end
% 0.45/0.91  
% 0.45/0.91  subsumption: (25) {G0,W6,D3,L2,V1,M2} I { ! alpha2( X ), rr( X, skol2( X )
% 0.45/0.91     ) }.
% 0.45/0.91  parent0: (890) {G0,W6,D3,L2,V1,M2}  { ! alpha2( X ), rr( X, skol2( X ) )
% 0.45/0.91     }.
% 0.45/0.91  substitution0:
% 0.45/0.91     X := X
% 0.45/0.91  end
% 0.45/0.91  permutation0:
% 0.45/0.91     0 ==> 0
% 0.45/0.91     1 ==> 1
% 0.45/0.91  end
% 0.45/0.91  
% 0.45/0.91  subsumption: (26) {G0,W7,D2,L3,V2,M3} I { ! rr( X, Y ), ! alpha3( Y ), 
% 0.45/0.91    alpha2( X ) }.
% 0.45/0.91  parent0: (891) {G0,W7,D2,L3,V2,M3}  { ! rr( X, Y ), ! alpha3( Y ), alpha2( 
% 0.45/0.91    X ) }.
% 0.45/0.91  substitution0:
% 0.45/0.91     X := X
% 0.45/0.91     Y := Y
% 0.45/0.91  end
% 0.45/0.91  permutation0:
% 0.45/0.91     0 ==> 0
% 0.45/0.91     1 ==> 1
% 0.45/0.91     2 ==> 2
% 0.45/0.91  end
% 0.45/0.91  
% 0.45/0.91  subsumption: (28) {G0,W4,D2,L2,V1,M2} I { ! alpha3( X ), alpha4( X ) }.
% 0.45/0.91  parent0: (893) {G0,W4,D2,L2,V1,M2}  { ! alpha3( X ), alpha4( X ) }.
% 0.45/0.91  substitution0:
% 0.45/0.91     X := X
% 0.45/0.91  end
% 0.45/0.91  permutation0:
% 0.45/0.91     0 ==> 0
% 0.45/0.91     1 ==> 1
% 0.45/0.91  end
% 0.45/0.91  
% 0.45/0.91  subsumption: (30) {G0,W7,D2,L3,V2,M3} I { ! alpha4( X ), ! rinvR( X, Y ), !
% 0.45/0.91     cp1( Y ) }.
% 0.45/0.91  parent0: (895) {G0,W7,D2,L3,V2,M3}  { ! alpha4( X ), ! rinvR( X, Y ), ! cp1
% 0.45/0.91    ( Y ) }.
% 0.45/0.91  substitution0:
% 0.45/0.91     X := X
% 0.45/0.91     Y := Y
% 0.45/0.91  end
% 0.45/0.91  permutation0:
% 0.45/0.91     0 ==> 0
% 0.45/0.91     1 ==> 1
% 0.45/0.91     2 ==> 2
% 0.45/0.91  end
% 0.45/0.91  
% 0.45/0.91  subsumption: (37) {G0,W6,D2,L2,V2,M2} I { ! rr( Y, X ), rinvR( X, Y ) }.
% 0.45/0.91  parent0: (902) {G0,W6,D2,L2,V2,M2}  { ! rr( Y, X ), rinvR( X, Y ) }.
% 0.45/0.91  substitution0:
% 0.45/0.91     X := X
% 0.45/0.91     Y := Y
% 0.45/0.91  end
% 0.45/0.91  permutation0:
% 0.45/0.91     0 ==> 0
% 0.45/0.91     1 ==> 1
% 0.45/0.91  end
% 0.45/0.91  
% 0.45/0.91  subsumption: (38) {G0,W9,D2,L3,V3,M3} I { ! rr( X, Z ), ! rr( Z, Y ), rr( X
% 0.45/0.91    , Y ) }.
% 0.45/0.91  parent0: (903) {G0,W9,D2,L3,V3,M3}  { ! rr( X, Z ), ! rr( Z, Y ), rr( X, Y
% 0.45/0.91     ) }.
% 0.45/0.91  substitution0:
% 0.45/0.91     X := X
% 0.45/0.91     Y := Y
% 0.45/0.91     Z := Z
% 0.45/0.91  end
% 0.45/0.91  permutation0:
% 0.45/0.91     0 ==> 0
% 0.45/0.91     1 ==> 1
% 0.45/0.91     2 ==> 2
% 0.45/0.91  end
% 0.45/0.91  
% 0.45/0.91  subsumption: (39) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( 
% 0.45/0.91    i2003_11_14_17_19_39537 ) }.
% 0.45/0.91  parent0: (904) {G0,W2,D2,L1,V0,M1}  { cUnsatisfiable( 
% 0.45/0.91    i2003_11_14_17_19_39537 ) }.
% 0.45/0.91  substitution0:
% 0.45/0.91  end
% 0.45/0.91  permutation0:
% 0.45/0.91     0 ==> 0
% 0.45/0.91  end
% 0.45/0.91  
% 0.45/0.91  resolution: (1078) {G1,W2,D2,L1,V0,M1}  { cp1( i2003_11_14_17_19_39537 )
% 0.45/0.91     }.
% 0.45/0.91  parent0[0]: (19) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), cp1( X )
% 0.45/0.91     }.
% 0.45/0.91  parent1[0]: (39) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( 
% 0.45/0.91    i2003_11_14_17_19_39537 ) }.
% 0.45/0.91  substitution0:
% 0.45/0.91     X := i2003_11_14_17_19_39537
% 0.45/0.91  end
% 0.45/0.91  substitution1:
% 0.45/0.91  end
% 0.45/0.91  
% 0.45/0.91  subsumption: (43) {G1,W2,D2,L1,V0,M1} R(19,39) { cp1( 
% 0.45/0.91    i2003_11_14_17_19_39537 ) }.
% 0.45/0.91  parent0: (1078) {G1,W2,D2,L1,V0,M1}  { cp1( i2003_11_14_17_19_39537 ) }.
% 0.45/0.91  substitution0:
% 0.45/0.91  end
% 0.45/0.91  permutation0:
% 0.45/0.91     0 ==> 0
% 0.45/0.91  end
% 0.45/0.91  
% 0.45/0.91  resolution: (1079) {G1,W2,D2,L1,V0,M1}  { alpha1( i2003_11_14_17_19_39537 )
% 0.45/0.91     }.
% 0.45/0.91  parent0[0]: (18) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X )
% 0.45/0.91     }.
% 0.45/0.91  parent1[0]: (39) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( 
% 0.45/0.91    i2003_11_14_17_19_39537 ) }.
% 0.45/0.91  substitution0:
% 0.45/0.91     X := i2003_11_14_17_19_39537
% 0.45/0.91  end
% 0.45/0.91  substitution1:
% 0.45/0.91  end
% 0.45/0.91  
% 0.45/0.91  subsumption: (45) {G1,W2,D2,L1,V0,M1} R(18,39) { alpha1( 
% 0.45/0.91    i2003_11_14_17_19_39537 ) }.
% 0.45/0.91  parent0: (1079) {G1,W2,D2,L1,V0,M1}  { alpha1( i2003_11_14_17_19_39537 )
% 0.45/0.91     }.
% 0.45/0.91  substitution0:
% 0.45/0.91  end
% 0.45/0.91  permutation0:
% 0.45/0.91     0 ==> 0
% 0.45/0.91  end
% 0.45/0.91  
% 0.45/0.91  resolution: (1080) {G1,W5,D3,L2,V2,M2}  { alpha4( skol2( X ) ), ! alpha2( Y
% 0.45/0.91     ) }.
% 0.45/0.91  parent0[0]: (28) {G0,W4,D2,L2,V1,M2} I { ! alpha3( X ), alpha4( X ) }.
% 0.45/0.91  parent1[1]: (24) {G0,W5,D3,L2,V2,M2} I { ! alpha2( X ), alpha3( skol2( Y )
% 0.45/0.91     ) }.
% 0.45/0.91  substitution0:
% 0.45/0.91     X := skol2( X )
% 0.45/0.91  end
% 0.45/0.91  substitution1:
% 0.45/0.91     X := Y
% 0.45/0.91     Y := X
% 0.45/0.91  end
% 0.45/0.91  
% 0.45/0.91  subsumption: (50) {G1,W5,D3,L2,V2,M2} R(24,28) { ! alpha2( X ), alpha4( 
% 0.45/0.91    skol2( Y ) ) }.
% 0.45/0.91  parent0: (1080) {G1,W5,D3,L2,V2,M2}  { alpha4( skol2( X ) ), ! alpha2( Y )
% 0.45/0.91     }.
% 0.45/0.91  substitution0:
% 0.45/0.91     X := Y
% 0.45/0.91     Y := X
% 0.45/0.91  end
% 0.45/0.91  permutation0:
% 0.45/0.91     0 ==> 1
% 0.45/0.91     1 ==> 0
% 0.45/0.91  end
% 0.45/0.91  
% 0.45/0.91  resolution: (1081) {G1,W3,D3,L1,V1,M1}  { alpha2( skol1( X ) ) }.
% 0.45/0.91  parent0[0]: (21) {G0,W5,D3,L2,V2,M2} I { ! alpha1( X ), alpha2( skol1( Y )
% 0.45/0.91     ) }.
% 0.45/0.91  parent1[0]: (45) {G1,W2,D2,L1,V0,M1} R(18,39) { alpha1( 
% 0.45/0.91    i2003_11_14_17_19_39537 ) }.
% 0.45/0.91  substitution0:
% 0.45/0.91     X := i2003_11_14_17_19_39537
% 0.45/0.91     Y := X
% 0.45/0.91  end
% 0.45/0.91  substitution1:
% 0.45/0.91  end
% 0.45/0.91  
% 0.45/0.91  subsumption: (60) {G2,W3,D3,L1,V1,M1} R(21,45) { alpha2( skol1( X ) ) }.
% 0.45/0.91  parent0: (1081) {G1,W3,D3,L1,V1,M1}  { alpha2( skol1( X ) ) }.
% 0.45/0.91  substitution0:
% 0.45/0.91     X := X
% 0.45/0.91  end
% 0.45/0.91  permutation0:
% 0.45/0.91     0 ==> 0
% 0.45/0.91  end
% 0.45/0.91  
% 0.45/0.91  resolution: (1082) {G2,W3,D3,L1,V1,M1}  { alpha4( skol2( Y ) ) }.
% 0.45/0.91  parent0[0]: (50) {G1,W5,D3,L2,V2,M2} R(24,28) { ! alpha2( X ), alpha4( 
% 0.45/0.91    skol2( Y ) ) }.
% 0.45/0.91  parent1[0]: (60) {G2,W3,D3,L1,V1,M1} R(21,45) { alpha2( skol1( X ) ) }.
% 0.45/0.91  substitution0:
% 0.45/0.91     X := skol1( X )
% 0.45/0.91     Y := Y
% 0.45/0.91  end
% 0.45/0.91  substitution1:
% 0.45/0.91     X := X
% 0.45/0.91  end
% 0.45/0.91  
% 0.45/0.91  subsumption: (61) {G3,W3,D3,L1,V1,M1} R(60,50) { alpha4( skol2( X ) ) }.
% 0.45/0.91  parent0: (1082) {G2,W3,D3,L1,V1,M1}  { alpha4( skol2( Y ) ) }.
% 0.45/0.91  substitution0:
% 0.45/0.91     X := Y
% 0.45/0.91     Y := X
% 0.45/0.91  end
% 0.45/0.91  permutation0:
% 0.45/0.91     0 ==> 0
% 0.45/0.91  end
% 0.45/0.91  
% 0.45/0.91  resolution: (1083) {G1,W3,D3,L1,V1,M1}  { alpha3( skol2( Y ) ) }.
% 0.45/0.91  parent0[0]: (24) {G0,W5,D3,L2,V2,M2} I { ! alpha2( X ), alpha3( skol2( Y )
% 0.45/0.91     ) }.
% 0.45/0.91  parent1[0]: (60) {G2,W3,D3,L1,V1,M1} R(21,45) { alpha2( skol1( X ) ) }.
% 0.45/0.91  substitution0:
% 0.45/0.91     X := skol1( X )
% 0.45/0.91     Y := Y
% 0.45/0.91  end
% 0.45/0.91  substitution1:
% 0.45/0.91     X := X
% 0.45/0.91  end
% 0.45/0.91  
% 0.45/0.91  subsumption: (63) {G3,W3,D3,L1,V1,M1} R(60,24) { alpha3( skol2( X ) ) }.
% 0.45/0.91  parent0: (1083) {G1,W3,D3,L1,V1,M1}  { alpha3( skol2( Y ) ) }.
% 0.45/0.91  substitution0:
% 0.45/0.91     X := Y
% 0.45/0.91     Y := X
% 0.45/0.91  end
% 0.45/0.91  permutation0:
% 0.45/0.91     0 ==> 0
% 0.45/0.91  end
% 0.45/0.91  
% 0.45/0.91  resolution: (1084) {G1,W6,D3,L2,V1,M2}  { rinvR( skol2( X ), X ), ! alpha2
% 0.45/0.91    ( X ) }.
% 0.45/0.91  parent0[0]: (37) {G0,W6,D2,L2,V2,M2} I { ! rr( Y, X ), rinvR( X, Y ) }.
% 0.45/0.91  parent1[1]: (25) {G0,W6,D3,L2,V1,M2} I { ! alpha2( X ), rr( X, skol2( X ) )
% 0.45/0.91     }.
% 0.45/0.91  substitution0:
% 0.45/0.91     X := skol2( X )
% 0.45/0.91     Y := X
% 0.45/0.91  end
% 0.45/0.91  substitution1:
% 0.45/0.91     X := X
% 0.45/0.91  end
% 0.45/0.91  
% 0.45/0.91  subsumption: (116) {G1,W6,D3,L2,V1,M2} R(25,37) { ! alpha2( X ), rinvR( 
% 0.45/0.91    skol2( X ), X ) }.
% 0.45/0.91  parent0: (1084) {G1,W6,D3,L2,V1,M2}  { rinvR( skol2( X ), X ), ! alpha2( X
% 0.45/0.91     ) }.
% 0.45/0.91  substitution0:
% 0.45/0.91     X := X
% 0.45/0.91  end
% 0.45/0.91  permutation0:
% 0.45/0.91     0 ==> 1
% 0.45/0.91     1 ==> 0
% 0.45/0.91  end
% 0.45/0.91  
% 0.45/0.91  resolution: (1085) {G1,W6,D4,L1,V1,M1}  { rr( skol1( X ), skol2( skol1( X )
% 0.45/0.91     ) ) }.
% 0.45/0.91  parent0[0]: (25) {G0,W6,D3,L2,V1,M2} I { ! alpha2( X ), rr( X, skol2( X ) )
% 0.45/0.91     }.
% 0.45/0.91  parent1[0]: (60) {G2,W3,D3,L1,V1,M1} R(21,45) { alpha2( skol1( X ) ) }.
% 0.45/0.91  substitution0:
% 0.45/0.91     X := skol1( X )
% 0.45/0.91  end
% 0.45/0.91  substitution1:
% 0.45/0.91     X := X
% 0.45/0.91  end
% 0.45/0.91  
% 0.45/0.91  subsumption: (117) {G3,W6,D4,L1,V1,M1} R(25,60) { rr( skol1( X ), skol2( 
% 0.45/0.91    skol1( X ) ) ) }.
% 0.45/0.91  parent0: (1085) {G1,W6,D4,L1,V1,M1}  { rr( skol1( X ), skol2( skol1( X ) )
% 0.45/0.91     ) }.
% 0.45/0.91  substitution0:
% 0.45/0.91     X := X
% 0.45/0.91  end
% 0.45/0.91  permutation0:
% 0.45/0.91     0 ==> 0
% 0.45/0.91  end
% 0.45/0.91  
% 0.45/0.91  resolution: (1086) {G1,W6,D3,L2,V1,M2}  { rr( X, skol1( X ) ), ! 
% 0.45/0.91    cUnsatisfiable( X ) }.
% 0.45/0.91  parent0[0]: (22) {G0,W6,D3,L2,V1,M2} I { ! alpha1( X ), rr( X, skol1( X ) )
% 0.45/0.91     }.
% 0.45/0.91  parent1[1]: (18) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X )
% 0.45/0.91     }.
% 0.45/0.91  substitution0:
% 0.45/0.91     X := X
% 0.45/0.91  end
% 0.45/0.91  substitution1:
% 0.45/0.91     X := X
% 0.45/0.91  end
% 0.45/0.91  
% 0.45/0.91  subsumption: (124) {G1,W6,D3,L2,V1,M2} R(22,18) { rr( X, skol1( X ) ), ! 
% 0.45/0.91    cUnsatisfiable( X ) }.
% 0.45/0.91  parent0: (1086) {G1,W6,D3,L2,V1,M2}  { rr( X, skol1( X ) ), ! 
% 0.45/0.91    cUnsatisfiable( X ) }.
% 0.45/0.91  substitution0:
% 0.45/0.91     X := X
% 0.45/0.91  end
% 0.45/0.91  permutation0:
% 0.45/0.91     0 ==> 0
% 0.45/0.91     1 ==> 1
% 0.45/0.91  end
% 0.45/0.91  
% 0.45/0.91  resolution: (1087) {G1,W7,D3,L3,V1,M3}  { ! alpha4( skol2( X ) ), ! cp1( X
% 0.45/0.91     ), ! alpha2( X ) }.
% 0.45/0.91  parent0[1]: (30) {G0,W7,D2,L3,V2,M3} I { ! alpha4( X ), ! rinvR( X, Y ), ! 
% 0.45/0.91    cp1( Y ) }.
% 0.45/0.91  parent1[1]: (116) {G1,W6,D3,L2,V1,M2} R(25,37) { ! alpha2( X ), rinvR( 
% 0.45/0.91    skol2( X ), X ) }.
% 0.45/0.91  substitution0:
% 0.45/0.91     X := skol2( X )
% 0.45/0.91     Y := X
% 0.45/0.91  end
% 0.45/0.91  substitution1:
% 0.45/0.91     X := X
% 0.45/0.91  end
% 0.45/0.91  
% 0.45/0.91  resolution: (1088) {G2,W4,D2,L2,V1,M2}  { ! cp1( X ), ! alpha2( X ) }.
% 0.45/0.91  parent0[0]: (1087) {G1,W7,D3,L3,V1,M3}  { ! alpha4( skol2( X ) ), ! cp1( X
% 0.45/0.91     ), ! alpha2( X ) }.
% 0.45/0.91  parent1[0]: (61) {G3,W3,D3,L1,V1,M1} R(60,50) { alpha4( skol2( X ) ) }.
% 0.45/0.91  substitution0:
% 0.45/0.91     X := X
% 0.45/0.91  end
% 0.45/0.91  substitution1:
% 0.45/0.91     X := X
% 0.45/0.91  end
% 0.45/0.91  
% 0.45/0.91  subsumption: (179) {G4,W4,D2,L2,V1,M2} R(30,116);r(61) { ! cp1( X ), ! 
% 0.45/0.91    alpha2( X ) }.
% 0.45/0.91  parent0: (1088) {G2,W4,D2,L2,V1,M2}  { ! cp1( X ), ! alpha2( X ) }.
% 0.45/0.91  substitution0:
% 0.45/0.91     X := X
% 0.45/0.91  end
% 0.45/0.91  permutation0:
% 0.45/0.91     0 ==> 0
% 0.45/0.91     1 ==> 1
% 0.45/0.91  end
% 0.45/0.91  
% 0.45/0.91  resolution: (1089) {G2,W2,D2,L1,V0,M1}  { ! alpha2( i2003_11_14_17_19_39537
% 0.45/0.91     ) }.
% 0.45/0.91  parent0[0]: (179) {G4,W4,D2,L2,V1,M2} R(30,116);r(61) { ! cp1( X ), ! 
% 0.45/0.91    alpha2( X ) }.
% 0.45/0.91  parent1[0]: (43) {G1,W2,D2,L1,V0,M1} R(19,39) { cp1( 
% 0.45/0.91    i2003_11_14_17_19_39537 ) }.
% 0.45/0.91  substitution0:
% 0.45/0.91     X := i2003_11_14_17_19_39537
% 0.45/0.91  end
% 0.45/0.91  substitution1:
% 0.45/0.91  end
% 0.45/0.91  
% 0.45/0.91  subsumption: (230) {G5,W2,D2,L1,V0,M1} R(179,43) { ! alpha2( 
% 0.45/0.91    i2003_11_14_17_19_39537 ) }.
% 0.45/0.91  parent0: (1089) {G2,W2,D2,L1,V0,M1}  { ! alpha2( i2003_11_14_17_19_39537 )
% 0.45/0.91     }.
% 0.45/0.91  substitution0:
% 0.45/0.91  end
% 0.45/0.91  permutation0:
% 0.45/0.91     0 ==> 0
% 0.45/0.91  end
% 0.45/0.91  
% 0.45/0.91  resolution: (1090) {G1,W5,D2,L2,V1,M2}  { ! rr( i2003_11_14_17_19_39537, X
% 0.45/0.91     ), ! alpha3( X ) }.
% 0.45/0.91  parent0[0]: (230) {G5,W2,D2,L1,V0,M1} R(179,43) { ! alpha2( 
% 0.45/0.91    i2003_11_14_17_19_39537 ) }.
% 0.45/0.91  parent1[2]: (26) {G0,W7,D2,L3,V2,M3} I { ! rr( X, Y ), ! alpha3( Y ), 
% 0.45/0.91    alpha2( X ) }.
% 0.45/0.91  substitution0:
% 0.45/0.91  end
% 0.45/0.91  substitution1:
% 0.45/0.91     X := i2003_11_14_17_19_39537
% 0.45/0.91     Y := X
% 0.45/0.91  end
% 0.45/0.91  
% 0.45/0.91  subsumption: (247) {G6,W5,D2,L2,V1,M2} R(230,26) { ! rr( 
% 0.45/0.91    i2003_11_14_17_19_39537, X ), ! alpha3( X ) }.
% 0.45/0.91  parent0: (1090) {G1,W5,D2,L2,V1,M2}  { ! rr( i2003_11_14_17_19_39537, X ), 
% 0.45/0.91    ! alpha3( X ) }.
% 0.45/0.91  substitution0:
% 0.45/0.91     X := X
% 0.45/0.91  end
% 0.45/0.91  permutation0:
% 0.45/0.91     0 ==> 0
% 0.45/0.91     1 ==> 1
% 0.45/0.91  end
% 0.45/0.91  
% 0.45/0.91  resolution: (1091) {G4,W4,D3,L1,V1,M1}  { ! rr( i2003_11_14_17_19_39537, 
% 0.45/0.91    skol2( X ) ) }.
% 0.45/0.91  parent0[1]: (247) {G6,W5,D2,L2,V1,M2} R(230,26) { ! rr( 
% 0.45/0.91    i2003_11_14_17_19_39537, X ), ! alpha3( X ) }.
% 0.45/0.91  parent1[0]: (63) {G3,W3,D3,L1,V1,M1} R(60,24) { alpha3( skol2( X ) ) }.
% 0.45/0.91  substitution0:
% 0.45/0.91     X := skol2( X )
% 0.45/0.91  end
% 0.45/0.91  substitution1:
% 0.45/0.91     X := X
% 0.45/0.91  end
% 0.45/0.91  
% 0.45/0.91  subsumption: (353) {G7,W4,D3,L1,V1,M1} R(247,63) { ! rr( 
% 0.45/0.91    i2003_11_14_17_19_39537, skol2( X ) ) }.
% 0.45/0.91  parent0: (1091) {G4,W4,D3,L1,V1,M1}  { ! rr( i2003_11_14_17_19_39537, skol2
% 0.45/0.91    ( X ) ) }.
% 0.45/0.91  substitution0:
% 0.45/0.91     X := X
% 0.45/0.91  end
% 0.45/0.91  permutation0:
% 0.45/0.91     0 ==> 0
% 0.45/0.91  end
% 0.45/0.91  
% 0.45/0.91  resolution: (1092) {G1,W7,D3,L2,V2,M2}  { ! rr( i2003_11_14_17_19_39537, Y
% 0.45/0.91     ), ! rr( Y, skol2( X ) ) }.
% 0.45/0.91  parent0[0]: (353) {G7,W4,D3,L1,V1,M1} R(247,63) { ! rr( 
% 0.45/0.91    i2003_11_14_17_19_39537, skol2( X ) ) }.
% 0.45/0.91  parent1[2]: (38) {G0,W9,D2,L3,V3,M3} I { ! rr( X, Z ), ! rr( Z, Y ), rr( X
% 0.45/0.91    , Y ) }.
% 0.45/0.91  substitution0:
% 0.45/0.91     X := X
% 0.45/0.91  end
% 0.45/0.91  substitution1:
% 0.45/0.91     X := i2003_11_14_17_19_39537
% 0.45/0.91     Y := skol2( X )
% 0.45/0.91     Z := Y
% 0.45/0.91  end
% 0.45/0.91  
% 0.45/0.91  subsumption: (355) {G8,W7,D3,L2,V2,M2} R(353,38) { ! rr( 
% 0.45/0.91    i2003_11_14_17_19_39537, X ), ! rr( X, skol2( Y ) ) }.
% 0.45/0.91  parent0: (1092) {G1,W7,D3,L2,V2,M2}  { ! rr( i2003_11_14_17_19_39537, Y ), 
% 0.45/0.91    ! rr( Y, skol2( X ) ) }.
% 0.45/0.91  substitution0:
% 0.45/0.91     X := Y
% 0.45/0.91     Y := X
% 0.45/0.91  end
% 0.45/0.91  permutation0:
% 0.45/0.91     0 ==> 0
% 0.45/0.91     1 ==> 1
% 0.45/0.91  end
% 0.45/0.91  
% 0.45/0.91  resolution: (1093) {G4,W4,D3,L1,V1,M1}  { ! rr( i2003_11_14_17_19_39537, 
% 0.45/0.91    skol1( X ) ) }.
% 0.45/0.91  parent0[1]: (355) {G8,W7,D3,L2,V2,M2} R(353,38) { ! rr( 
% 0.45/0.91    i2003_11_14_17_19_39537, X ), ! rr( X, skol2( Y ) ) }.
% 0.45/0.91  parent1[0]: (117) {G3,W6,D4,L1,V1,M1} R(25,60) { rr( skol1( X ), skol2( 
% 0.45/0.91    skol1( X ) ) ) }.
% 0.45/0.91  substitution0:
% 0.45/0.91     X := skol1( X )
% 0.45/0.91     Y := skol1( X )
% 0.45/0.91  end
% 0.45/0.91  substitution1:
% 0.45/0.91     X := X
% 0.45/0.91  end
% 0.45/0.91  
% 0.45/0.91  subsumption: (851) {G9,W4,D3,L1,V1,M1} R(355,117) { ! rr( 
% 0.45/0.91    i2003_11_14_17_19_39537, skol1( X ) ) }.
% 0.45/0.91  parent0: (1093) {G4,W4,D3,L1,V1,M1}  { ! rr( i2003_11_14_17_19_39537, skol1
% 0.45/0.91    ( X ) ) }.
% 0.45/0.91  substitution0:
% 0.45/0.91     X := X
% 0.45/0.91  end
% 0.45/0.91  permutation0:
% 0.45/0.91     0 ==> 0
% 0.45/0.91  end
% 0.45/0.91  
% 0.45/0.91  resolution: (1094) {G2,W2,D2,L1,V0,M1}  { ! cUnsatisfiable( 
% 0.45/0.91    i2003_11_14_17_19_39537 ) }.
% 0.45/0.91  parent0[0]: (851) {G9,W4,D3,L1,V1,M1} R(355,117) { ! rr( 
% 0.45/0.91    i2003_11_14_17_19_39537, skol1( X ) ) }.
% 0.45/0.91  parent1[0]: (124) {G1,W6,D3,L2,V1,M2} R(22,18) { rr( X, skol1( X ) ), ! 
% 0.45/0.91    cUnsatisfiable( X ) }.
% 0.45/0.91  substitution0:
% 0.45/0.91     X := i2003_11_14_17_19_39537
% 0.45/0.91  end
% 0.45/0.91  substitution1:
% 0.45/0.91     X := i2003_11_14_17_19_39537
% 0.45/0.91  end
% 0.45/0.91  
% 0.45/0.91  resolution: (1095) {G1,W0,D0,L0,V0,M0}  {  }.
% 0.45/0.91  parent0[0]: (1094) {G2,W2,D2,L1,V0,M1}  { ! cUnsatisfiable( 
% 0.45/0.91    i2003_11_14_17_19_39537 ) }.
% 0.45/0.91  parent1[0]: (39) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( 
% 0.45/0.91    i2003_11_14_17_19_39537 ) }.
% 0.45/0.91  substitution0:
% 0.45/0.91  end
% 0.45/0.91  substitution1:
% 0.45/0.91  end
% 0.45/0.91  
% 0.45/0.91  subsumption: (863) {G10,W0,D0,L0,V0,M0} R(851,124);r(39) {  }.
% 0.45/0.91  parent0: (1095) {G1,W0,D0,L0,V0,M0}  {  }.
% 0.45/0.91  substitution0:
% 0.45/0.91  end
% 0.45/0.91  permutation0:
% 0.45/0.91  end
% 0.45/0.91  
% 0.45/0.91  Proof check complete!
% 0.45/0.91  
% 0.45/0.91  Memory use:
% 0.45/0.91  
% 0.45/0.91  space for terms:        10804
% 0.45/0.91  space for clauses:      33580
% 0.45/0.91  
% 0.45/0.91  
% 0.45/0.91  clauses generated:      3167
% 0.45/0.91  clauses kept:           864
% 0.45/0.91  clauses selected:       171
% 0.45/0.91  clauses deleted:        21
% 0.45/0.91  clauses inuse deleted:  0
% 0.45/0.91  
% 0.45/0.91  subsentry:          11499
% 0.45/0.91  literals s-matched: 9281
% 0.45/0.91  literals matched:   8865
% 0.45/0.91  full subsumption:   5020
% 0.45/0.91  
% 0.45/0.91  checksum:           -1165357961
% 0.45/0.91  
% 0.45/0.91  
% 0.45/0.91  Bliksem ended
%------------------------------------------------------------------------------