TSTP Solution File: KRS079+1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : KRS079+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n020.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 02:42:10 EDT 2022

% Result   : Unsatisfiable 0.87s 1.27s
% Output   : Refutation 0.87s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : KRS079+1 : TPTP v8.1.0. Released v3.1.0.
% 0.08/0.15  % Command  : bliksem %s
% 0.14/0.37  % Computer : n020.cluster.edu
% 0.14/0.37  % Model    : x86_64 x86_64
% 0.14/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37  % Memory   : 8042.1875MB
% 0.14/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit : 300
% 0.14/0.37  % DateTime : Tue Jun  7 18:49:51 EDT 2022
% 0.14/0.37  % CPUTime  : 
% 0.87/1.27  *** allocated 10000 integers for termspace/termends
% 0.87/1.27  *** allocated 10000 integers for clauses
% 0.87/1.27  *** allocated 10000 integers for justifications
% 0.87/1.27  Bliksem 1.12
% 0.87/1.27  
% 0.87/1.27  
% 0.87/1.27  Automatic Strategy Selection
% 0.87/1.27  
% 0.87/1.27  
% 0.87/1.27  Clauses:
% 0.87/1.27  
% 0.87/1.27  { ! Y = X, ! cUnsatisfiable( Y ), cUnsatisfiable( X ) }.
% 0.87/1.27  { ! Y = X, ! cowlNothing( Y ), cowlNothing( X ) }.
% 0.87/1.27  { ! Y = X, ! cowlThing( Y ), cowlThing( X ) }.
% 0.87/1.27  { ! Y = X, ! cp1( Y ), cp1( X ) }.
% 0.87/1.27  { ! Y = X, ! cp2( Y ), cp2( X ) }.
% 0.87/1.27  { ! Z = X, ! rf1( Z, Y ), rf1( X, Y ) }.
% 0.87/1.27  { ! Z = X, ! rf1( Y, Z ), rf1( Y, X ) }.
% 0.87/1.27  { ! Z = X, ! rf2( Z, Y ), rf2( X, Y ) }.
% 0.87/1.27  { ! Z = X, ! rf2( Y, Z ), rf2( Y, X ) }.
% 0.87/1.27  { ! Z = X, ! rr( Z, Y ), rr( X, Y ) }.
% 0.87/1.27  { ! Z = X, ! rr( Y, Z ), rr( Y, X ) }.
% 0.87/1.27  { ! Y = X, ! xsd_integer( Y ), xsd_integer( X ) }.
% 0.87/1.27  { ! Y = X, ! xsd_string( Y ), xsd_string( X ) }.
% 0.87/1.27  { cowlThing( X ) }.
% 0.87/1.27  { ! cowlNothing( X ) }.
% 0.87/1.27  { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.87/1.27  { xsd_integer( X ), xsd_string( X ) }.
% 0.87/1.27  { ! cUnsatisfiable( X ), alpha1( X ) }.
% 0.87/1.27  { ! cUnsatisfiable( X ), alpha2( X ) }.
% 0.87/1.27  { ! alpha1( X ), ! alpha2( X ), cUnsatisfiable( X ) }.
% 0.87/1.27  { ! alpha2( X ), alpha3( X ) }.
% 0.87/1.27  { ! alpha2( X ), alpha4( X ) }.
% 0.87/1.27  { ! alpha3( X ), ! alpha4( X ), alpha2( X ) }.
% 0.87/1.27  { ! alpha4( X ), cowlThing( skol1( Y ) ) }.
% 0.87/1.27  { ! alpha4( X ), rr( X, skol1( X ) ) }.
% 0.87/1.27  { ! rr( X, Y ), ! cowlThing( Y ), alpha4( X ) }.
% 0.87/1.27  { ! alpha3( X ), cp1( skol2( Y ) ) }.
% 0.87/1.27  { ! alpha3( X ), rf1( X, skol2( X ) ) }.
% 0.87/1.27  { ! rf1( X, Y ), ! cp1( Y ), alpha3( X ) }.
% 0.87/1.27  { ! alpha1( X ), cp2( skol3( Y ) ) }.
% 0.87/1.27  { ! alpha1( X ), rf2( X, skol3( X ) ) }.
% 0.87/1.27  { ! rf2( X, Y ), ! cp2( Y ), alpha1( X ) }.
% 0.87/1.27  { ! cp1( X ), ! cp2( X ) }.
% 0.87/1.27  { ! cowlThing( X ), ! rf1( X, Y ), ! rf1( X, Z ), Y = Z }.
% 0.87/1.27  { ! cowlThing( X ), ! rf2( X, Y ), ! rf2( X, Z ), Y = Z }.
% 0.87/1.27  { cUnsatisfiable( i2003_11_14_17_19_17492 ) }.
% 0.87/1.27  { ! rr( X, Y ), rf1( X, Y ) }.
% 0.87/1.27  { ! rr( X, Y ), rf2( X, Y ) }.
% 0.87/1.27  
% 0.87/1.27  percentage equality = 0.161290, percentage horn = 0.972973
% 0.87/1.27  This is a problem with some equality
% 0.87/1.27  
% 0.87/1.27  
% 0.87/1.27  
% 0.87/1.27  Options Used:
% 0.87/1.27  
% 0.87/1.27  useres =            1
% 0.87/1.27  useparamod =        1
% 0.87/1.27  useeqrefl =         1
% 0.87/1.27  useeqfact =         1
% 0.87/1.27  usefactor =         1
% 0.87/1.27  usesimpsplitting =  0
% 0.87/1.27  usesimpdemod =      5
% 0.87/1.27  usesimpres =        3
% 0.87/1.27  
% 0.87/1.27  resimpinuse      =  1000
% 0.87/1.27  resimpclauses =     20000
% 0.87/1.27  substype =          eqrewr
% 0.87/1.27  backwardsubs =      1
% 0.87/1.27  selectoldest =      5
% 0.87/1.27  
% 0.87/1.27  litorderings [0] =  split
% 0.87/1.27  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.87/1.27  
% 0.87/1.27  termordering =      kbo
% 0.87/1.27  
% 0.87/1.27  litapriori =        0
% 0.87/1.27  termapriori =       1
% 0.87/1.27  litaposteriori =    0
% 0.87/1.27  termaposteriori =   0
% 0.87/1.27  demodaposteriori =  0
% 0.87/1.27  ordereqreflfact =   0
% 0.87/1.27  
% 0.87/1.27  litselect =         negord
% 0.87/1.27  
% 0.87/1.27  maxweight =         15
% 0.87/1.27  maxdepth =          30000
% 0.87/1.27  maxlength =         115
% 0.87/1.27  maxnrvars =         195
% 0.87/1.27  excuselevel =       1
% 0.87/1.27  increasemaxweight = 1
% 0.87/1.27  
% 0.87/1.27  maxselected =       10000000
% 0.87/1.27  maxnrclauses =      10000000
% 0.87/1.27  
% 0.87/1.27  showgenerated =    0
% 0.87/1.27  showkept =         0
% 0.87/1.27  showselected =     0
% 0.87/1.27  showdeleted =      0
% 0.87/1.27  showresimp =       1
% 0.87/1.27  showstatus =       2000
% 0.87/1.27  
% 0.87/1.27  prologoutput =     0
% 0.87/1.27  nrgoals =          5000000
% 0.87/1.27  totalproof =       1
% 0.87/1.27  
% 0.87/1.27  Symbols occurring in the translation:
% 0.87/1.27  
% 0.87/1.27  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.87/1.27  .  [1, 2]      (w:1, o:33, a:1, s:1, b:0), 
% 0.87/1.27  !  [4, 1]      (w:0, o:14, a:1, s:1, b:0), 
% 0.87/1.27  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.87/1.27  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.87/1.27  cUnsatisfiable  [37, 1]      (w:1, o:19, a:1, s:1, b:0), 
% 0.87/1.27  cowlNothing  [38, 1]      (w:1, o:20, a:1, s:1, b:0), 
% 0.87/1.27  cowlThing  [39, 1]      (w:1, o:21, a:1, s:1, b:0), 
% 0.87/1.27  cp1  [40, 1]      (w:1, o:22, a:1, s:1, b:0), 
% 0.87/1.27  cp2  [41, 1]      (w:1, o:23, a:1, s:1, b:0), 
% 0.87/1.27  rf1  [43, 2]      (w:1, o:57, a:1, s:1, b:0), 
% 0.87/1.27  rf2  [44, 2]      (w:1, o:58, a:1, s:1, b:0), 
% 0.87/1.27  rr  [45, 2]      (w:1, o:59, a:1, s:1, b:0), 
% 0.87/1.27  xsd_integer  [46, 1]      (w:1, o:24, a:1, s:1, b:0), 
% 0.87/1.27  xsd_string  [47, 1]      (w:1, o:25, a:1, s:1, b:0), 
% 0.87/1.27  i2003_11_14_17_19_17492  [52, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 0.87/1.27  alpha1  [53, 1]      (w:1, o:26, a:1, s:1, b:1), 
% 0.87/1.27  alpha2  [54, 1]      (w:1, o:27, a:1, s:1, b:1), 
% 0.87/1.27  alpha3  [55, 1]      (w:1, o:28, a:1, s:1, b:1), 
% 0.87/1.27  alpha4  [56, 1]      (w:1, o:29, a:1, s:1, b:1), 
% 0.87/1.27  skol1  [57, 1]      (w:1, o:30, a:1, s:1, b:1), 
% 0.87/1.27  skol2  [58, 1]      (w:1, o:31, a:1, s:1, b:1), 
% 0.87/1.27  skol3  [59, 1]      (w:1, o:32, a:1, s:1, b:1).
% 0.87/1.27  
% 0.87/1.27  
% 0.87/1.27  Starting Search:
% 0.87/1.27  
% 0.87/1.27  *** allocated 15000 integers for clauses
% 0.87/1.27  *** allocated 22500 integers for clauses
% 0.87/1.27  *** allocated 33750 integers for clauses
% 0.87/1.27  *** allocated 15000 integers for termspace/termends
% 0.87/1.27  *** allocated 50625 integers for clauses
% 0.87/1.27  
% 0.87/1.27  Bliksems!, er is een bewijs:
% 0.87/1.27  % SZS status Unsatisfiable
% 0.87/1.27  % SZS output start Refutation
% 0.87/1.27  
% 0.87/1.27  (4) {G0,W7,D2,L3,V2,M3} I { ! Y = X, ! cp2( Y ), cp2( X ) }.
% 0.87/1.27  (13) {G0,W2,D2,L1,V1,M1} I { cowlThing( X ) }.
% 0.87/1.27  (17) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X ) }.
% 0.87/1.27  (18) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha2( X ) }.
% 0.87/1.27  (20) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), alpha3( X ) }.
% 0.87/1.27  (21) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), alpha4( X ) }.
% 0.87/1.27  (23) {G0,W6,D3,L2,V1,M2} I { ! alpha4( X ), rr( X, skol1( X ) ) }.
% 0.87/1.27  (25) {G0,W5,D3,L2,V2,M2} I { ! alpha3( X ), cp1( skol2( Y ) ) }.
% 0.87/1.27  (26) {G0,W6,D3,L2,V1,M2} I { ! alpha3( X ), rf1( X, skol2( X ) ) }.
% 0.87/1.27  (28) {G0,W5,D3,L2,V2,M2} I { ! alpha1( X ), cp2( skol3( Y ) ) }.
% 0.87/1.27  (29) {G0,W6,D3,L2,V1,M2} I { ! alpha1( X ), rf2( X, skol3( X ) ) }.
% 0.87/1.27  (31) {G0,W4,D2,L2,V1,M2} I { ! cp1( X ), ! cp2( X ) }.
% 0.87/1.27  (32) {G1,W9,D2,L3,V3,M3} I;r(13) { ! rf1( X, Y ), ! rf1( X, Z ), Y = Z }.
% 0.87/1.27  (33) {G1,W9,D2,L3,V3,M3} I;r(13) { ! rf2( X, Y ), ! rf2( X, Z ), Y = Z }.
% 0.87/1.27  (34) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( i2003_11_14_17_19_17492 ) }.
% 0.87/1.27  (35) {G0,W6,D2,L2,V2,M2} I { ! rr( X, Y ), rf1( X, Y ) }.
% 0.87/1.27  (36) {G0,W6,D2,L2,V2,M2} I { ! rr( X, Y ), rf2( X, Y ) }.
% 0.87/1.27  (42) {G1,W2,D2,L1,V0,M1} R(18,34) { alpha2( i2003_11_14_17_19_17492 ) }.
% 0.87/1.27  (43) {G2,W2,D2,L1,V0,M1} R(42,20) { alpha3( i2003_11_14_17_19_17492 ) }.
% 0.87/1.27  (44) {G2,W2,D2,L1,V0,M1} R(42,21) { alpha4( i2003_11_14_17_19_17492 ) }.
% 0.87/1.27  (48) {G1,W2,D2,L1,V0,M1} R(17,34) { alpha1( i2003_11_14_17_19_17492 ) }.
% 0.87/1.27  (59) {G2,W3,D3,L1,V1,M1} R(28,48) { cp2( skol3( X ) ) }.
% 0.87/1.27  (68) {G3,W3,D3,L1,V1,M1} R(25,43) { cp1( skol2( X ) ) }.
% 0.87/1.27  (71) {G4,W3,D3,L1,V1,M1} R(68,31) { ! cp2( skol2( X ) ) }.
% 0.87/1.27  (72) {G5,W6,D3,L2,V2,M2} R(71,4) { ! X = skol2( Y ), ! cp2( X ) }.
% 0.87/1.27  (83) {G6,W5,D3,L1,V2,M1} R(72,59) { ! skol3( X ) = skol2( Y ) }.
% 0.87/1.27  (99) {G1,W6,D3,L2,V1,M2} R(29,17) { rf2( X, skol3( X ) ), ! cUnsatisfiable
% 0.87/1.27    ( X ) }.
% 0.87/1.27  (112) {G3,W4,D3,L1,V0,M1} R(26,43) { rf1( i2003_11_14_17_19_17492, skol2( 
% 0.87/1.27    i2003_11_14_17_19_17492 ) ) }.
% 0.87/1.27  (131) {G3,W4,D3,L1,V0,M1} R(23,44) { rr( i2003_11_14_17_19_17492, skol1( 
% 0.87/1.27    i2003_11_14_17_19_17492 ) ) }.
% 0.87/1.27  (135) {G4,W4,D3,L1,V0,M1} R(131,35) { rf1( i2003_11_14_17_19_17492, skol1( 
% 0.87/1.27    i2003_11_14_17_19_17492 ) ) }.
% 0.87/1.27  (136) {G4,W4,D3,L1,V0,M1} R(131,36) { rf2( i2003_11_14_17_19_17492, skol1( 
% 0.87/1.27    i2003_11_14_17_19_17492 ) ) }.
% 0.87/1.27  (206) {G5,W7,D3,L2,V1,M2} R(32,135) { ! rf1( i2003_11_14_17_19_17492, X ), 
% 0.87/1.27    skol1( i2003_11_14_17_19_17492 ) = X }.
% 0.87/1.27  (294) {G5,W7,D3,L2,V1,M2} R(33,136) { ! rf2( i2003_11_14_17_19_17492, X ), 
% 0.87/1.27    skol1( i2003_11_14_17_19_17492 ) = X }.
% 0.87/1.27  (464) {G6,W5,D3,L1,V0,M1} R(294,99);r(34) { skol3( i2003_11_14_17_19_17492
% 0.87/1.27     ) ==> skol1( i2003_11_14_17_19_17492 ) }.
% 0.87/1.27  (552) {G7,W5,D3,L1,V1,M1} P(464,83) { ! skol1( i2003_11_14_17_19_17492 ) = 
% 0.87/1.27    skol2( X ) }.
% 0.87/1.27  (954) {G8,W0,D0,L0,V0,M0} R(206,112);r(552) {  }.
% 0.87/1.27  
% 0.87/1.27  
% 0.87/1.27  % SZS output end Refutation
% 0.87/1.27  found a proof!
% 0.87/1.27  
% 0.87/1.27  
% 0.87/1.27  Unprocessed initial clauses:
% 0.87/1.27  
% 0.87/1.27  (956) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! cUnsatisfiable( Y ), cUnsatisfiable
% 0.87/1.27    ( X ) }.
% 0.87/1.27  (957) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! cowlNothing( Y ), cowlNothing( X )
% 0.87/1.27     }.
% 0.87/1.27  (958) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! cowlThing( Y ), cowlThing( X ) }.
% 0.87/1.27  (959) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! cp1( Y ), cp1( X ) }.
% 0.87/1.27  (960) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! cp2( Y ), cp2( X ) }.
% 0.87/1.27  (961) {G0,W9,D2,L3,V3,M3}  { ! Z = X, ! rf1( Z, Y ), rf1( X, Y ) }.
% 0.87/1.27  (962) {G0,W9,D2,L3,V3,M3}  { ! Z = X, ! rf1( Y, Z ), rf1( Y, X ) }.
% 0.87/1.27  (963) {G0,W9,D2,L3,V3,M3}  { ! Z = X, ! rf2( Z, Y ), rf2( X, Y ) }.
% 0.87/1.27  (964) {G0,W9,D2,L3,V3,M3}  { ! Z = X, ! rf2( Y, Z ), rf2( Y, X ) }.
% 0.87/1.27  (965) {G0,W9,D2,L3,V3,M3}  { ! Z = X, ! rr( Z, Y ), rr( X, Y ) }.
% 0.87/1.27  (966) {G0,W9,D2,L3,V3,M3}  { ! Z = X, ! rr( Y, Z ), rr( Y, X ) }.
% 0.87/1.27  (967) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! xsd_integer( Y ), xsd_integer( X )
% 0.87/1.27     }.
% 0.87/1.27  (968) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! xsd_string( Y ), xsd_string( X )
% 0.87/1.27     }.
% 0.87/1.27  (969) {G0,W2,D2,L1,V1,M1}  { cowlThing( X ) }.
% 0.87/1.27  (970) {G0,W2,D2,L1,V1,M1}  { ! cowlNothing( X ) }.
% 0.87/1.27  (971) {G0,W4,D2,L2,V1,M2}  { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.87/1.27  (972) {G0,W4,D2,L2,V1,M2}  { xsd_integer( X ), xsd_string( X ) }.
% 0.87/1.27  (973) {G0,W4,D2,L2,V1,M2}  { ! cUnsatisfiable( X ), alpha1( X ) }.
% 0.87/1.27  (974) {G0,W4,D2,L2,V1,M2}  { ! cUnsatisfiable( X ), alpha2( X ) }.
% 0.87/1.27  (975) {G0,W6,D2,L3,V1,M3}  { ! alpha1( X ), ! alpha2( X ), cUnsatisfiable( 
% 0.87/1.27    X ) }.
% 0.87/1.27  (976) {G0,W4,D2,L2,V1,M2}  { ! alpha2( X ), alpha3( X ) }.
% 0.87/1.27  (977) {G0,W4,D2,L2,V1,M2}  { ! alpha2( X ), alpha4( X ) }.
% 0.87/1.27  (978) {G0,W6,D2,L3,V1,M3}  { ! alpha3( X ), ! alpha4( X ), alpha2( X ) }.
% 0.87/1.27  (979) {G0,W5,D3,L2,V2,M2}  { ! alpha4( X ), cowlThing( skol1( Y ) ) }.
% 0.87/1.27  (980) {G0,W6,D3,L2,V1,M2}  { ! alpha4( X ), rr( X, skol1( X ) ) }.
% 0.87/1.27  (981) {G0,W7,D2,L3,V2,M3}  { ! rr( X, Y ), ! cowlThing( Y ), alpha4( X )
% 0.87/1.27     }.
% 0.87/1.27  (982) {G0,W5,D3,L2,V2,M2}  { ! alpha3( X ), cp1( skol2( Y ) ) }.
% 0.87/1.27  (983) {G0,W6,D3,L2,V1,M2}  { ! alpha3( X ), rf1( X, skol2( X ) ) }.
% 0.87/1.27  (984) {G0,W7,D2,L3,V2,M3}  { ! rf1( X, Y ), ! cp1( Y ), alpha3( X ) }.
% 0.87/1.27  (985) {G0,W5,D3,L2,V2,M2}  { ! alpha1( X ), cp2( skol3( Y ) ) }.
% 0.87/1.27  (986) {G0,W6,D3,L2,V1,M2}  { ! alpha1( X ), rf2( X, skol3( X ) ) }.
% 0.87/1.27  (987) {G0,W7,D2,L3,V2,M3}  { ! rf2( X, Y ), ! cp2( Y ), alpha1( X ) }.
% 0.87/1.27  (988) {G0,W4,D2,L2,V1,M2}  { ! cp1( X ), ! cp2( X ) }.
% 0.87/1.27  (989) {G0,W11,D2,L4,V3,M4}  { ! cowlThing( X ), ! rf1( X, Y ), ! rf1( X, Z
% 0.87/1.27     ), Y = Z }.
% 0.87/1.27  (990) {G0,W11,D2,L4,V3,M4}  { ! cowlThing( X ), ! rf2( X, Y ), ! rf2( X, Z
% 0.87/1.27     ), Y = Z }.
% 0.87/1.27  (991) {G0,W2,D2,L1,V0,M1}  { cUnsatisfiable( i2003_11_14_17_19_17492 ) }.
% 0.87/1.27  (992) {G0,W6,D2,L2,V2,M2}  { ! rr( X, Y ), rf1( X, Y ) }.
% 0.87/1.27  (993) {G0,W6,D2,L2,V2,M2}  { ! rr( X, Y ), rf2( X, Y ) }.
% 0.87/1.27  
% 0.87/1.27  
% 0.87/1.27  Total Proof:
% 0.87/1.27  
% 0.87/1.27  subsumption: (4) {G0,W7,D2,L3,V2,M3} I { ! Y = X, ! cp2( Y ), cp2( X ) }.
% 0.87/1.27  parent0: (960) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! cp2( Y ), cp2( X ) }.
% 0.87/1.27  substitution0:
% 0.87/1.27     X := X
% 0.87/1.27     Y := Y
% 0.87/1.27  end
% 0.87/1.27  permutation0:
% 0.87/1.27     0 ==> 0
% 0.87/1.27     1 ==> 1
% 0.87/1.27     2 ==> 2
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  subsumption: (13) {G0,W2,D2,L1,V1,M1} I { cowlThing( X ) }.
% 0.87/1.27  parent0: (969) {G0,W2,D2,L1,V1,M1}  { cowlThing( X ) }.
% 0.87/1.27  substitution0:
% 0.87/1.27     X := X
% 0.87/1.27  end
% 0.87/1.27  permutation0:
% 0.87/1.27     0 ==> 0
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  subsumption: (17) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X
% 0.87/1.27     ) }.
% 0.87/1.27  parent0: (973) {G0,W4,D2,L2,V1,M2}  { ! cUnsatisfiable( X ), alpha1( X )
% 0.87/1.27     }.
% 0.87/1.27  substitution0:
% 0.87/1.27     X := X
% 0.87/1.27  end
% 0.87/1.27  permutation0:
% 0.87/1.27     0 ==> 0
% 0.87/1.27     1 ==> 1
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  subsumption: (18) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha2( X
% 0.87/1.27     ) }.
% 0.87/1.27  parent0: (974) {G0,W4,D2,L2,V1,M2}  { ! cUnsatisfiable( X ), alpha2( X )
% 0.87/1.27     }.
% 0.87/1.27  substitution0:
% 0.87/1.27     X := X
% 0.87/1.27  end
% 0.87/1.27  permutation0:
% 0.87/1.27     0 ==> 0
% 0.87/1.27     1 ==> 1
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  subsumption: (20) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), alpha3( X ) }.
% 0.87/1.27  parent0: (976) {G0,W4,D2,L2,V1,M2}  { ! alpha2( X ), alpha3( X ) }.
% 0.87/1.27  substitution0:
% 0.87/1.27     X := X
% 0.87/1.27  end
% 0.87/1.27  permutation0:
% 0.87/1.27     0 ==> 0
% 0.87/1.27     1 ==> 1
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  subsumption: (21) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), alpha4( X ) }.
% 0.87/1.27  parent0: (977) {G0,W4,D2,L2,V1,M2}  { ! alpha2( X ), alpha4( X ) }.
% 0.87/1.27  substitution0:
% 0.87/1.27     X := X
% 0.87/1.27  end
% 0.87/1.27  permutation0:
% 0.87/1.27     0 ==> 0
% 0.87/1.27     1 ==> 1
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  subsumption: (23) {G0,W6,D3,L2,V1,M2} I { ! alpha4( X ), rr( X, skol1( X )
% 0.87/1.27     ) }.
% 0.87/1.27  parent0: (980) {G0,W6,D3,L2,V1,M2}  { ! alpha4( X ), rr( X, skol1( X ) )
% 0.87/1.27     }.
% 0.87/1.27  substitution0:
% 0.87/1.27     X := X
% 0.87/1.27  end
% 0.87/1.27  permutation0:
% 0.87/1.27     0 ==> 0
% 0.87/1.27     1 ==> 1
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  subsumption: (25) {G0,W5,D3,L2,V2,M2} I { ! alpha3( X ), cp1( skol2( Y ) )
% 0.87/1.27     }.
% 0.87/1.27  parent0: (982) {G0,W5,D3,L2,V2,M2}  { ! alpha3( X ), cp1( skol2( Y ) ) }.
% 0.87/1.27  substitution0:
% 0.87/1.27     X := X
% 0.87/1.27     Y := Y
% 0.87/1.27  end
% 0.87/1.27  permutation0:
% 0.87/1.27     0 ==> 0
% 0.87/1.27     1 ==> 1
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  subsumption: (26) {G0,W6,D3,L2,V1,M2} I { ! alpha3( X ), rf1( X, skol2( X )
% 0.87/1.27     ) }.
% 0.87/1.27  parent0: (983) {G0,W6,D3,L2,V1,M2}  { ! alpha3( X ), rf1( X, skol2( X ) )
% 0.87/1.27     }.
% 0.87/1.27  substitution0:
% 0.87/1.27     X := X
% 0.87/1.27  end
% 0.87/1.27  permutation0:
% 0.87/1.27     0 ==> 0
% 0.87/1.27     1 ==> 1
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  subsumption: (28) {G0,W5,D3,L2,V2,M2} I { ! alpha1( X ), cp2( skol3( Y ) )
% 0.87/1.27     }.
% 0.87/1.27  parent0: (985) {G0,W5,D3,L2,V2,M2}  { ! alpha1( X ), cp2( skol3( Y ) ) }.
% 0.87/1.27  substitution0:
% 0.87/1.27     X := X
% 0.87/1.27     Y := Y
% 0.87/1.27  end
% 0.87/1.27  permutation0:
% 0.87/1.27     0 ==> 0
% 0.87/1.27     1 ==> 1
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  subsumption: (29) {G0,W6,D3,L2,V1,M2} I { ! alpha1( X ), rf2( X, skol3( X )
% 0.87/1.27     ) }.
% 0.87/1.27  parent0: (986) {G0,W6,D3,L2,V1,M2}  { ! alpha1( X ), rf2( X, skol3( X ) )
% 0.87/1.27     }.
% 0.87/1.27  substitution0:
% 0.87/1.27     X := X
% 0.87/1.27  end
% 0.87/1.27  permutation0:
% 0.87/1.27     0 ==> 0
% 0.87/1.27     1 ==> 1
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  subsumption: (31) {G0,W4,D2,L2,V1,M2} I { ! cp1( X ), ! cp2( X ) }.
% 0.87/1.27  parent0: (988) {G0,W4,D2,L2,V1,M2}  { ! cp1( X ), ! cp2( X ) }.
% 0.87/1.27  substitution0:
% 0.87/1.27     X := X
% 0.87/1.27  end
% 0.87/1.27  permutation0:
% 0.87/1.27     0 ==> 0
% 0.87/1.27     1 ==> 1
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  resolution: (1162) {G1,W9,D2,L3,V3,M3}  { ! rf1( X, Y ), ! rf1( X, Z ), Y =
% 0.87/1.27     Z }.
% 0.87/1.27  parent0[0]: (989) {G0,W11,D2,L4,V3,M4}  { ! cowlThing( X ), ! rf1( X, Y ), 
% 0.87/1.27    ! rf1( X, Z ), Y = Z }.
% 0.87/1.27  parent1[0]: (13) {G0,W2,D2,L1,V1,M1} I { cowlThing( X ) }.
% 0.87/1.27  substitution0:
% 0.87/1.27     X := X
% 0.87/1.27     Y := Y
% 0.87/1.27     Z := Z
% 0.87/1.27  end
% 0.87/1.27  substitution1:
% 0.87/1.27     X := X
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  subsumption: (32) {G1,W9,D2,L3,V3,M3} I;r(13) { ! rf1( X, Y ), ! rf1( X, Z
% 0.87/1.27     ), Y = Z }.
% 0.87/1.27  parent0: (1162) {G1,W9,D2,L3,V3,M3}  { ! rf1( X, Y ), ! rf1( X, Z ), Y = Z
% 0.87/1.27     }.
% 0.87/1.27  substitution0:
% 0.87/1.27     X := X
% 0.87/1.27     Y := Y
% 0.87/1.27     Z := Z
% 0.87/1.27  end
% 0.87/1.27  permutation0:
% 0.87/1.27     0 ==> 0
% 0.87/1.27     1 ==> 1
% 0.87/1.27     2 ==> 2
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  resolution: (1188) {G1,W9,D2,L3,V3,M3}  { ! rf2( X, Y ), ! rf2( X, Z ), Y =
% 0.87/1.27     Z }.
% 0.87/1.27  parent0[0]: (990) {G0,W11,D2,L4,V3,M4}  { ! cowlThing( X ), ! rf2( X, Y ), 
% 0.87/1.27    ! rf2( X, Z ), Y = Z }.
% 0.87/1.27  parent1[0]: (13) {G0,W2,D2,L1,V1,M1} I { cowlThing( X ) }.
% 0.87/1.27  substitution0:
% 0.87/1.27     X := X
% 0.87/1.27     Y := Y
% 0.87/1.27     Z := Z
% 0.87/1.27  end
% 0.87/1.27  substitution1:
% 0.87/1.27     X := X
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  subsumption: (33) {G1,W9,D2,L3,V3,M3} I;r(13) { ! rf2( X, Y ), ! rf2( X, Z
% 0.87/1.27     ), Y = Z }.
% 0.87/1.27  parent0: (1188) {G1,W9,D2,L3,V3,M3}  { ! rf2( X, Y ), ! rf2( X, Z ), Y = Z
% 0.87/1.27     }.
% 0.87/1.27  substitution0:
% 0.87/1.27     X := X
% 0.87/1.27     Y := Y
% 0.87/1.27     Z := Z
% 0.87/1.27  end
% 0.87/1.27  permutation0:
% 0.87/1.27     0 ==> 0
% 0.87/1.27     1 ==> 1
% 0.87/1.27     2 ==> 2
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  subsumption: (34) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( 
% 0.87/1.27    i2003_11_14_17_19_17492 ) }.
% 0.87/1.27  parent0: (991) {G0,W2,D2,L1,V0,M1}  { cUnsatisfiable( 
% 0.87/1.27    i2003_11_14_17_19_17492 ) }.
% 0.87/1.27  substitution0:
% 0.87/1.27  end
% 0.87/1.27  permutation0:
% 0.87/1.27     0 ==> 0
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  subsumption: (35) {G0,W6,D2,L2,V2,M2} I { ! rr( X, Y ), rf1( X, Y ) }.
% 0.87/1.27  parent0: (992) {G0,W6,D2,L2,V2,M2}  { ! rr( X, Y ), rf1( X, Y ) }.
% 0.87/1.27  substitution0:
% 0.87/1.27     X := X
% 0.87/1.27     Y := Y
% 0.87/1.27  end
% 0.87/1.27  permutation0:
% 0.87/1.27     0 ==> 0
% 0.87/1.27     1 ==> 1
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  subsumption: (36) {G0,W6,D2,L2,V2,M2} I { ! rr( X, Y ), rf2( X, Y ) }.
% 0.87/1.27  parent0: (993) {G0,W6,D2,L2,V2,M2}  { ! rr( X, Y ), rf2( X, Y ) }.
% 0.87/1.27  substitution0:
% 0.87/1.27     X := X
% 0.87/1.27     Y := Y
% 0.87/1.27  end
% 0.87/1.27  permutation0:
% 0.87/1.27     0 ==> 0
% 0.87/1.27     1 ==> 1
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  resolution: (1235) {G1,W2,D2,L1,V0,M1}  { alpha2( i2003_11_14_17_19_17492 )
% 0.87/1.27     }.
% 0.87/1.27  parent0[0]: (18) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha2( X )
% 0.87/1.27     }.
% 0.87/1.27  parent1[0]: (34) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( 
% 0.87/1.27    i2003_11_14_17_19_17492 ) }.
% 0.87/1.27  substitution0:
% 0.87/1.27     X := i2003_11_14_17_19_17492
% 0.87/1.27  end
% 0.87/1.27  substitution1:
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  subsumption: (42) {G1,W2,D2,L1,V0,M1} R(18,34) { alpha2( 
% 0.87/1.27    i2003_11_14_17_19_17492 ) }.
% 0.87/1.27  parent0: (1235) {G1,W2,D2,L1,V0,M1}  { alpha2( i2003_11_14_17_19_17492 )
% 0.87/1.27     }.
% 0.87/1.27  substitution0:
% 0.87/1.27  end
% 0.87/1.27  permutation0:
% 0.87/1.27     0 ==> 0
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  resolution: (1236) {G1,W2,D2,L1,V0,M1}  { alpha3( i2003_11_14_17_19_17492 )
% 0.87/1.27     }.
% 0.87/1.27  parent0[0]: (20) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), alpha3( X ) }.
% 0.87/1.27  parent1[0]: (42) {G1,W2,D2,L1,V0,M1} R(18,34) { alpha2( 
% 0.87/1.27    i2003_11_14_17_19_17492 ) }.
% 0.87/1.27  substitution0:
% 0.87/1.27     X := i2003_11_14_17_19_17492
% 0.87/1.27  end
% 0.87/1.27  substitution1:
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  subsumption: (43) {G2,W2,D2,L1,V0,M1} R(42,20) { alpha3( 
% 0.87/1.27    i2003_11_14_17_19_17492 ) }.
% 0.87/1.27  parent0: (1236) {G1,W2,D2,L1,V0,M1}  { alpha3( i2003_11_14_17_19_17492 )
% 0.87/1.27     }.
% 0.87/1.27  substitution0:
% 0.87/1.27  end
% 0.87/1.27  permutation0:
% 0.87/1.27     0 ==> 0
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  resolution: (1237) {G1,W2,D2,L1,V0,M1}  { alpha4( i2003_11_14_17_19_17492 )
% 0.87/1.27     }.
% 0.87/1.27  parent0[0]: (21) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), alpha4( X ) }.
% 0.87/1.27  parent1[0]: (42) {G1,W2,D2,L1,V0,M1} R(18,34) { alpha2( 
% 0.87/1.27    i2003_11_14_17_19_17492 ) }.
% 0.87/1.27  substitution0:
% 0.87/1.27     X := i2003_11_14_17_19_17492
% 0.87/1.27  end
% 0.87/1.27  substitution1:
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  subsumption: (44) {G2,W2,D2,L1,V0,M1} R(42,21) { alpha4( 
% 0.87/1.27    i2003_11_14_17_19_17492 ) }.
% 0.87/1.27  parent0: (1237) {G1,W2,D2,L1,V0,M1}  { alpha4( i2003_11_14_17_19_17492 )
% 0.87/1.27     }.
% 0.87/1.27  substitution0:
% 0.87/1.27  end
% 0.87/1.27  permutation0:
% 0.87/1.27     0 ==> 0
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  resolution: (1238) {G1,W2,D2,L1,V0,M1}  { alpha1( i2003_11_14_17_19_17492 )
% 0.87/1.27     }.
% 0.87/1.27  parent0[0]: (17) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X )
% 0.87/1.27     }.
% 0.87/1.27  parent1[0]: (34) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( 
% 0.87/1.27    i2003_11_14_17_19_17492 ) }.
% 0.87/1.27  substitution0:
% 0.87/1.27     X := i2003_11_14_17_19_17492
% 0.87/1.27  end
% 0.87/1.27  substitution1:
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  subsumption: (48) {G1,W2,D2,L1,V0,M1} R(17,34) { alpha1( 
% 0.87/1.27    i2003_11_14_17_19_17492 ) }.
% 0.87/1.27  parent0: (1238) {G1,W2,D2,L1,V0,M1}  { alpha1( i2003_11_14_17_19_17492 )
% 0.87/1.27     }.
% 0.87/1.27  substitution0:
% 0.87/1.27  end
% 0.87/1.27  permutation0:
% 0.87/1.27     0 ==> 0
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  resolution: (1239) {G1,W3,D3,L1,V1,M1}  { cp2( skol3( X ) ) }.
% 0.87/1.27  parent0[0]: (28) {G0,W5,D3,L2,V2,M2} I { ! alpha1( X ), cp2( skol3( Y ) )
% 0.87/1.27     }.
% 0.87/1.27  parent1[0]: (48) {G1,W2,D2,L1,V0,M1} R(17,34) { alpha1( 
% 0.87/1.27    i2003_11_14_17_19_17492 ) }.
% 0.87/1.27  substitution0:
% 0.87/1.27     X := i2003_11_14_17_19_17492
% 0.87/1.27     Y := X
% 0.87/1.27  end
% 0.87/1.27  substitution1:
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  subsumption: (59) {G2,W3,D3,L1,V1,M1} R(28,48) { cp2( skol3( X ) ) }.
% 0.87/1.27  parent0: (1239) {G1,W3,D3,L1,V1,M1}  { cp2( skol3( X ) ) }.
% 0.87/1.27  substitution0:
% 0.87/1.27     X := X
% 0.87/1.27  end
% 0.87/1.27  permutation0:
% 0.87/1.27     0 ==> 0
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  resolution: (1240) {G1,W3,D3,L1,V1,M1}  { cp1( skol2( X ) ) }.
% 0.87/1.27  parent0[0]: (25) {G0,W5,D3,L2,V2,M2} I { ! alpha3( X ), cp1( skol2( Y ) )
% 0.87/1.27     }.
% 0.87/1.27  parent1[0]: (43) {G2,W2,D2,L1,V0,M1} R(42,20) { alpha3( 
% 0.87/1.27    i2003_11_14_17_19_17492 ) }.
% 0.87/1.27  substitution0:
% 0.87/1.27     X := i2003_11_14_17_19_17492
% 0.87/1.27     Y := X
% 0.87/1.27  end
% 0.87/1.27  substitution1:
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  subsumption: (68) {G3,W3,D3,L1,V1,M1} R(25,43) { cp1( skol2( X ) ) }.
% 0.87/1.27  parent0: (1240) {G1,W3,D3,L1,V1,M1}  { cp1( skol2( X ) ) }.
% 0.87/1.27  substitution0:
% 0.87/1.27     X := X
% 0.87/1.27  end
% 0.87/1.27  permutation0:
% 0.87/1.27     0 ==> 0
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  resolution: (1241) {G1,W3,D3,L1,V1,M1}  { ! cp2( skol2( X ) ) }.
% 0.87/1.27  parent0[0]: (31) {G0,W4,D2,L2,V1,M2} I { ! cp1( X ), ! cp2( X ) }.
% 0.87/1.27  parent1[0]: (68) {G3,W3,D3,L1,V1,M1} R(25,43) { cp1( skol2( X ) ) }.
% 0.87/1.27  substitution0:
% 0.87/1.27     X := skol2( X )
% 0.87/1.27  end
% 0.87/1.27  substitution1:
% 0.87/1.27     X := X
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  subsumption: (71) {G4,W3,D3,L1,V1,M1} R(68,31) { ! cp2( skol2( X ) ) }.
% 0.87/1.27  parent0: (1241) {G1,W3,D3,L1,V1,M1}  { ! cp2( skol2( X ) ) }.
% 0.87/1.27  substitution0:
% 0.87/1.27     X := X
% 0.87/1.27  end
% 0.87/1.27  permutation0:
% 0.87/1.27     0 ==> 0
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  eqswap: (1242) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! cp2( X ), cp2( Y ) }.
% 0.87/1.27  parent0[0]: (4) {G0,W7,D2,L3,V2,M3} I { ! Y = X, ! cp2( Y ), cp2( X ) }.
% 0.87/1.27  substitution0:
% 0.87/1.27     X := Y
% 0.87/1.27     Y := X
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  resolution: (1243) {G1,W6,D3,L2,V2,M2}  { ! skol2( X ) = Y, ! cp2( Y ) }.
% 0.87/1.27  parent0[0]: (71) {G4,W3,D3,L1,V1,M1} R(68,31) { ! cp2( skol2( X ) ) }.
% 0.87/1.27  parent1[2]: (1242) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! cp2( X ), cp2( Y ) }.
% 0.87/1.27  substitution0:
% 0.87/1.27     X := X
% 0.87/1.27  end
% 0.87/1.27  substitution1:
% 0.87/1.27     X := Y
% 0.87/1.27     Y := skol2( X )
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  eqswap: (1244) {G1,W6,D3,L2,V2,M2}  { ! Y = skol2( X ), ! cp2( Y ) }.
% 0.87/1.27  parent0[0]: (1243) {G1,W6,D3,L2,V2,M2}  { ! skol2( X ) = Y, ! cp2( Y ) }.
% 0.87/1.27  substitution0:
% 0.87/1.27     X := X
% 0.87/1.27     Y := Y
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  subsumption: (72) {G5,W6,D3,L2,V2,M2} R(71,4) { ! X = skol2( Y ), ! cp2( X
% 0.87/1.27     ) }.
% 0.87/1.27  parent0: (1244) {G1,W6,D3,L2,V2,M2}  { ! Y = skol2( X ), ! cp2( Y ) }.
% 0.87/1.27  substitution0:
% 0.87/1.27     X := Y
% 0.87/1.27     Y := X
% 0.87/1.27  end
% 0.87/1.27  permutation0:
% 0.87/1.27     0 ==> 0
% 0.87/1.27     1 ==> 1
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  eqswap: (1245) {G5,W6,D3,L2,V2,M2}  { ! skol2( Y ) = X, ! cp2( X ) }.
% 0.87/1.27  parent0[0]: (72) {G5,W6,D3,L2,V2,M2} R(71,4) { ! X = skol2( Y ), ! cp2( X )
% 0.87/1.27     }.
% 0.87/1.27  substitution0:
% 0.87/1.27     X := X
% 0.87/1.27     Y := Y
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  resolution: (1246) {G3,W5,D3,L1,V2,M1}  { ! skol2( X ) = skol3( Y ) }.
% 0.87/1.27  parent0[1]: (1245) {G5,W6,D3,L2,V2,M2}  { ! skol2( Y ) = X, ! cp2( X ) }.
% 0.87/1.27  parent1[0]: (59) {G2,W3,D3,L1,V1,M1} R(28,48) { cp2( skol3( X ) ) }.
% 0.87/1.27  substitution0:
% 0.87/1.27     X := skol3( Y )
% 0.87/1.27     Y := X
% 0.87/1.27  end
% 0.87/1.27  substitution1:
% 0.87/1.27     X := Y
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  eqswap: (1247) {G3,W5,D3,L1,V2,M1}  { ! skol3( Y ) = skol2( X ) }.
% 0.87/1.27  parent0[0]: (1246) {G3,W5,D3,L1,V2,M1}  { ! skol2( X ) = skol3( Y ) }.
% 0.87/1.27  substitution0:
% 0.87/1.27     X := X
% 0.87/1.27     Y := Y
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  subsumption: (83) {G6,W5,D3,L1,V2,M1} R(72,59) { ! skol3( X ) = skol2( Y )
% 0.87/1.27     }.
% 0.87/1.27  parent0: (1247) {G3,W5,D3,L1,V2,M1}  { ! skol3( Y ) = skol2( X ) }.
% 0.87/1.27  substitution0:
% 0.87/1.27     X := Y
% 0.87/1.27     Y := X
% 0.87/1.27  end
% 0.87/1.27  permutation0:
% 0.87/1.27     0 ==> 0
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  resolution: (1248) {G1,W6,D3,L2,V1,M2}  { rf2( X, skol3( X ) ), ! 
% 0.87/1.27    cUnsatisfiable( X ) }.
% 0.87/1.27  parent0[0]: (29) {G0,W6,D3,L2,V1,M2} I { ! alpha1( X ), rf2( X, skol3( X )
% 0.87/1.27     ) }.
% 0.87/1.27  parent1[1]: (17) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X )
% 0.87/1.27     }.
% 0.87/1.27  substitution0:
% 0.87/1.27     X := X
% 0.87/1.27  end
% 0.87/1.27  substitution1:
% 0.87/1.27     X := X
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  subsumption: (99) {G1,W6,D3,L2,V1,M2} R(29,17) { rf2( X, skol3( X ) ), ! 
% 0.87/1.27    cUnsatisfiable( X ) }.
% 0.87/1.27  parent0: (1248) {G1,W6,D3,L2,V1,M2}  { rf2( X, skol3( X ) ), ! 
% 0.87/1.27    cUnsatisfiable( X ) }.
% 0.87/1.27  substitution0:
% 0.87/1.27     X := X
% 0.87/1.27  end
% 0.87/1.27  permutation0:
% 0.87/1.27     0 ==> 0
% 0.87/1.27     1 ==> 1
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  resolution: (1249) {G1,W4,D3,L1,V0,M1}  { rf1( i2003_11_14_17_19_17492, 
% 0.87/1.27    skol2( i2003_11_14_17_19_17492 ) ) }.
% 0.87/1.27  parent0[0]: (26) {G0,W6,D3,L2,V1,M2} I { ! alpha3( X ), rf1( X, skol2( X )
% 0.87/1.27     ) }.
% 0.87/1.27  parent1[0]: (43) {G2,W2,D2,L1,V0,M1} R(42,20) { alpha3( 
% 0.87/1.27    i2003_11_14_17_19_17492 ) }.
% 0.87/1.27  substitution0:
% 0.87/1.27     X := i2003_11_14_17_19_17492
% 0.87/1.27  end
% 0.87/1.27  substitution1:
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  subsumption: (112) {G3,W4,D3,L1,V0,M1} R(26,43) { rf1( 
% 0.87/1.27    i2003_11_14_17_19_17492, skol2( i2003_11_14_17_19_17492 ) ) }.
% 0.87/1.27  parent0: (1249) {G1,W4,D3,L1,V0,M1}  { rf1( i2003_11_14_17_19_17492, skol2
% 0.87/1.27    ( i2003_11_14_17_19_17492 ) ) }.
% 0.87/1.27  substitution0:
% 0.87/1.27  end
% 0.87/1.27  permutation0:
% 0.87/1.27     0 ==> 0
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  resolution: (1250) {G1,W4,D3,L1,V0,M1}  { rr( i2003_11_14_17_19_17492, 
% 0.87/1.27    skol1( i2003_11_14_17_19_17492 ) ) }.
% 0.87/1.27  parent0[0]: (23) {G0,W6,D3,L2,V1,M2} I { ! alpha4( X ), rr( X, skol1( X ) )
% 0.87/1.27     }.
% 0.87/1.27  parent1[0]: (44) {G2,W2,D2,L1,V0,M1} R(42,21) { alpha4( 
% 0.87/1.27    i2003_11_14_17_19_17492 ) }.
% 0.87/1.27  substitution0:
% 0.87/1.27     X := i2003_11_14_17_19_17492
% 0.87/1.27  end
% 0.87/1.27  substitution1:
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  subsumption: (131) {G3,W4,D3,L1,V0,M1} R(23,44) { rr( 
% 0.87/1.27    i2003_11_14_17_19_17492, skol1( i2003_11_14_17_19_17492 ) ) }.
% 0.87/1.27  parent0: (1250) {G1,W4,D3,L1,V0,M1}  { rr( i2003_11_14_17_19_17492, skol1( 
% 0.87/1.27    i2003_11_14_17_19_17492 ) ) }.
% 0.87/1.27  substitution0:
% 0.87/1.27  end
% 0.87/1.27  permutation0:
% 0.87/1.27     0 ==> 0
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  resolution: (1251) {G1,W4,D3,L1,V0,M1}  { rf1( i2003_11_14_17_19_17492, 
% 0.87/1.27    skol1( i2003_11_14_17_19_17492 ) ) }.
% 0.87/1.27  parent0[0]: (35) {G0,W6,D2,L2,V2,M2} I { ! rr( X, Y ), rf1( X, Y ) }.
% 0.87/1.27  parent1[0]: (131) {G3,W4,D3,L1,V0,M1} R(23,44) { rr( 
% 0.87/1.27    i2003_11_14_17_19_17492, skol1( i2003_11_14_17_19_17492 ) ) }.
% 0.87/1.27  substitution0:
% 0.87/1.27     X := i2003_11_14_17_19_17492
% 0.87/1.27     Y := skol1( i2003_11_14_17_19_17492 )
% 0.87/1.27  end
% 0.87/1.27  substitution1:
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  subsumption: (135) {G4,W4,D3,L1,V0,M1} R(131,35) { rf1( 
% 0.87/1.27    i2003_11_14_17_19_17492, skol1( i2003_11_14_17_19_17492 ) ) }.
% 0.87/1.27  parent0: (1251) {G1,W4,D3,L1,V0,M1}  { rf1( i2003_11_14_17_19_17492, skol1
% 0.87/1.27    ( i2003_11_14_17_19_17492 ) ) }.
% 0.87/1.27  substitution0:
% 0.87/1.27  end
% 0.87/1.27  permutation0:
% 0.87/1.27     0 ==> 0
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  *** allocated 22500 integers for termspace/termends
% 0.87/1.27  resolution: (1252) {G1,W4,D3,L1,V0,M1}  { rf2( i2003_11_14_17_19_17492, 
% 0.87/1.27    skol1( i2003_11_14_17_19_17492 ) ) }.
% 0.87/1.27  parent0[0]: (36) {G0,W6,D2,L2,V2,M2} I { ! rr( X, Y ), rf2( X, Y ) }.
% 0.87/1.27  parent1[0]: (131) {G3,W4,D3,L1,V0,M1} R(23,44) { rr( 
% 0.87/1.27    i2003_11_14_17_19_17492, skol1( i2003_11_14_17_19_17492 ) ) }.
% 0.87/1.27  substitution0:
% 0.87/1.27     X := i2003_11_14_17_19_17492
% 0.87/1.27     Y := skol1( i2003_11_14_17_19_17492 )
% 0.87/1.27  end
% 0.87/1.27  substitution1:
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  subsumption: (136) {G4,W4,D3,L1,V0,M1} R(131,36) { rf2( 
% 0.87/1.27    i2003_11_14_17_19_17492, skol1( i2003_11_14_17_19_17492 ) ) }.
% 0.87/1.27  parent0: (1252) {G1,W4,D3,L1,V0,M1}  { rf2( i2003_11_14_17_19_17492, skol1
% 0.87/1.27    ( i2003_11_14_17_19_17492 ) ) }.
% 0.87/1.27  substitution0:
% 0.87/1.27  end
% 0.87/1.27  permutation0:
% 0.87/1.27     0 ==> 0
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  resolution: (1253) {G2,W7,D3,L2,V1,M2}  { ! rf1( i2003_11_14_17_19_17492, X
% 0.87/1.27     ), skol1( i2003_11_14_17_19_17492 ) = X }.
% 0.87/1.27  parent0[0]: (32) {G1,W9,D2,L3,V3,M3} I;r(13) { ! rf1( X, Y ), ! rf1( X, Z )
% 0.87/1.27    , Y = Z }.
% 0.87/1.27  parent1[0]: (135) {G4,W4,D3,L1,V0,M1} R(131,35) { rf1( 
% 0.87/1.27    i2003_11_14_17_19_17492, skol1( i2003_11_14_17_19_17492 ) ) }.
% 0.87/1.27  substitution0:
% 0.87/1.27     X := i2003_11_14_17_19_17492
% 0.87/1.27     Y := skol1( i2003_11_14_17_19_17492 )
% 0.87/1.27     Z := X
% 0.87/1.27  end
% 0.87/1.27  substitution1:
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  subsumption: (206) {G5,W7,D3,L2,V1,M2} R(32,135) { ! rf1( 
% 0.87/1.27    i2003_11_14_17_19_17492, X ), skol1( i2003_11_14_17_19_17492 ) = X }.
% 0.87/1.27  parent0: (1253) {G2,W7,D3,L2,V1,M2}  { ! rf1( i2003_11_14_17_19_17492, X )
% 0.87/1.27    , skol1( i2003_11_14_17_19_17492 ) = X }.
% 0.87/1.27  substitution0:
% 0.87/1.27     X := X
% 0.87/1.27  end
% 0.87/1.27  permutation0:
% 0.87/1.27     0 ==> 0
% 0.87/1.27     1 ==> 1
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  resolution: (1255) {G2,W7,D3,L2,V1,M2}  { ! rf2( i2003_11_14_17_19_17492, X
% 0.87/1.27     ), skol1( i2003_11_14_17_19_17492 ) = X }.
% 0.87/1.27  parent0[0]: (33) {G1,W9,D2,L3,V3,M3} I;r(13) { ! rf2( X, Y ), ! rf2( X, Z )
% 0.87/1.27    , Y = Z }.
% 0.87/1.27  parent1[0]: (136) {G4,W4,D3,L1,V0,M1} R(131,36) { rf2( 
% 0.87/1.27    i2003_11_14_17_19_17492, skol1( i2003_11_14_17_19_17492 ) ) }.
% 0.87/1.27  substitution0:
% 0.87/1.27     X := i2003_11_14_17_19_17492
% 0.87/1.27     Y := skol1( i2003_11_14_17_19_17492 )
% 0.87/1.27     Z := X
% 0.87/1.27  end
% 0.87/1.27  substitution1:
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  subsumption: (294) {G5,W7,D3,L2,V1,M2} R(33,136) { ! rf2( 
% 0.87/1.27    i2003_11_14_17_19_17492, X ), skol1( i2003_11_14_17_19_17492 ) = X }.
% 0.87/1.27  parent0: (1255) {G2,W7,D3,L2,V1,M2}  { ! rf2( i2003_11_14_17_19_17492, X )
% 0.87/1.27    , skol1( i2003_11_14_17_19_17492 ) = X }.
% 0.87/1.27  substitution0:
% 0.87/1.27     X := X
% 0.87/1.27  end
% 0.87/1.27  permutation0:
% 0.87/1.27     0 ==> 0
% 0.87/1.27     1 ==> 1
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  eqswap: (1257) {G5,W7,D3,L2,V1,M2}  { X = skol1( i2003_11_14_17_19_17492 )
% 0.87/1.27    , ! rf2( i2003_11_14_17_19_17492, X ) }.
% 0.87/1.27  parent0[1]: (294) {G5,W7,D3,L2,V1,M2} R(33,136) { ! rf2( 
% 0.87/1.27    i2003_11_14_17_19_17492, X ), skol1( i2003_11_14_17_19_17492 ) = X }.
% 0.87/1.27  substitution0:
% 0.87/1.27     X := X
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  resolution: (1258) {G2,W7,D3,L2,V0,M2}  { skol3( i2003_11_14_17_19_17492 ) 
% 0.87/1.27    = skol1( i2003_11_14_17_19_17492 ), ! cUnsatisfiable( 
% 0.87/1.27    i2003_11_14_17_19_17492 ) }.
% 0.87/1.27  parent0[1]: (1257) {G5,W7,D3,L2,V1,M2}  { X = skol1( 
% 0.87/1.27    i2003_11_14_17_19_17492 ), ! rf2( i2003_11_14_17_19_17492, X ) }.
% 0.87/1.27  parent1[0]: (99) {G1,W6,D3,L2,V1,M2} R(29,17) { rf2( X, skol3( X ) ), ! 
% 0.87/1.27    cUnsatisfiable( X ) }.
% 0.87/1.27  substitution0:
% 0.87/1.27     X := skol3( i2003_11_14_17_19_17492 )
% 0.87/1.27  end
% 0.87/1.27  substitution1:
% 0.87/1.27     X := i2003_11_14_17_19_17492
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  resolution: (1259) {G1,W5,D3,L1,V0,M1}  { skol3( i2003_11_14_17_19_17492 ) 
% 0.87/1.27    = skol1( i2003_11_14_17_19_17492 ) }.
% 0.87/1.27  parent0[1]: (1258) {G2,W7,D3,L2,V0,M2}  { skol3( i2003_11_14_17_19_17492 ) 
% 0.87/1.27    = skol1( i2003_11_14_17_19_17492 ), ! cUnsatisfiable( 
% 0.87/1.27    i2003_11_14_17_19_17492 ) }.
% 0.87/1.27  parent1[0]: (34) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( 
% 0.87/1.27    i2003_11_14_17_19_17492 ) }.
% 0.87/1.27  substitution0:
% 0.87/1.27  end
% 0.87/1.27  substitution1:
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  subsumption: (464) {G6,W5,D3,L1,V0,M1} R(294,99);r(34) { skol3( 
% 0.87/1.27    i2003_11_14_17_19_17492 ) ==> skol1( i2003_11_14_17_19_17492 ) }.
% 0.87/1.27  parent0: (1259) {G1,W5,D3,L1,V0,M1}  { skol3( i2003_11_14_17_19_17492 ) = 
% 0.87/1.27    skol1( i2003_11_14_17_19_17492 ) }.
% 0.87/1.27  substitution0:
% 0.87/1.27  end
% 0.87/1.27  permutation0:
% 0.87/1.27     0 ==> 0
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  eqswap: (1262) {G6,W5,D3,L1,V2,M1}  { ! skol2( Y ) = skol3( X ) }.
% 0.87/1.27  parent0[0]: (83) {G6,W5,D3,L1,V2,M1} R(72,59) { ! skol3( X ) = skol2( Y )
% 0.87/1.27     }.
% 0.87/1.27  substitution0:
% 0.87/1.27     X := X
% 0.87/1.27     Y := Y
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  paramod: (1263) {G7,W5,D3,L1,V1,M1}  { ! skol2( X ) = skol1( 
% 0.87/1.27    i2003_11_14_17_19_17492 ) }.
% 0.87/1.27  parent0[0]: (464) {G6,W5,D3,L1,V0,M1} R(294,99);r(34) { skol3( 
% 0.87/1.27    i2003_11_14_17_19_17492 ) ==> skol1( i2003_11_14_17_19_17492 ) }.
% 0.87/1.27  parent1[0; 4]: (1262) {G6,W5,D3,L1,V2,M1}  { ! skol2( Y ) = skol3( X ) }.
% 0.87/1.27  substitution0:
% 0.87/1.27  end
% 0.87/1.27  substitution1:
% 0.87/1.27     X := i2003_11_14_17_19_17492
% 0.87/1.27     Y := X
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  eqswap: (1264) {G7,W5,D3,L1,V1,M1}  { ! skol1( i2003_11_14_17_19_17492 ) = 
% 0.87/1.27    skol2( X ) }.
% 0.87/1.27  parent0[0]: (1263) {G7,W5,D3,L1,V1,M1}  { ! skol2( X ) = skol1( 
% 0.87/1.27    i2003_11_14_17_19_17492 ) }.
% 0.87/1.27  substitution0:
% 0.87/1.27     X := X
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  subsumption: (552) {G7,W5,D3,L1,V1,M1} P(464,83) { ! skol1( 
% 0.87/1.27    i2003_11_14_17_19_17492 ) = skol2( X ) }.
% 0.87/1.27  parent0: (1264) {G7,W5,D3,L1,V1,M1}  { ! skol1( i2003_11_14_17_19_17492 ) =
% 0.87/1.27     skol2( X ) }.
% 0.87/1.27  substitution0:
% 0.87/1.27     X := X
% 0.87/1.27  end
% 0.87/1.27  permutation0:
% 0.87/1.27     0 ==> 0
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  eqswap: (1265) {G5,W7,D3,L2,V1,M2}  { X = skol1( i2003_11_14_17_19_17492 )
% 0.87/1.27    , ! rf1( i2003_11_14_17_19_17492, X ) }.
% 0.87/1.27  parent0[1]: (206) {G5,W7,D3,L2,V1,M2} R(32,135) { ! rf1( 
% 0.87/1.27    i2003_11_14_17_19_17492, X ), skol1( i2003_11_14_17_19_17492 ) = X }.
% 0.87/1.27  substitution0:
% 0.87/1.27     X := X
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  eqswap: (1266) {G7,W5,D3,L1,V1,M1}  { ! skol2( X ) = skol1( 
% 0.87/1.27    i2003_11_14_17_19_17492 ) }.
% 0.87/1.27  parent0[0]: (552) {G7,W5,D3,L1,V1,M1} P(464,83) { ! skol1( 
% 0.87/1.27    i2003_11_14_17_19_17492 ) = skol2( X ) }.
% 0.87/1.27  substitution0:
% 0.87/1.27     X := X
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  resolution: (1267) {G4,W5,D3,L1,V0,M1}  { skol2( i2003_11_14_17_19_17492 ) 
% 0.87/1.27    = skol1( i2003_11_14_17_19_17492 ) }.
% 0.87/1.27  parent0[1]: (1265) {G5,W7,D3,L2,V1,M2}  { X = skol1( 
% 0.87/1.27    i2003_11_14_17_19_17492 ), ! rf1( i2003_11_14_17_19_17492, X ) }.
% 0.87/1.27  parent1[0]: (112) {G3,W4,D3,L1,V0,M1} R(26,43) { rf1( 
% 0.87/1.27    i2003_11_14_17_19_17492, skol2( i2003_11_14_17_19_17492 ) ) }.
% 0.87/1.27  substitution0:
% 0.87/1.27     X := skol2( i2003_11_14_17_19_17492 )
% 0.87/1.27  end
% 0.87/1.27  substitution1:
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  resolution: (1268) {G5,W0,D0,L0,V0,M0}  {  }.
% 0.87/1.27  parent0[0]: (1266) {G7,W5,D3,L1,V1,M1}  { ! skol2( X ) = skol1( 
% 0.87/1.27    i2003_11_14_17_19_17492 ) }.
% 0.87/1.27  parent1[0]: (1267) {G4,W5,D3,L1,V0,M1}  { skol2( i2003_11_14_17_19_17492 ) 
% 0.87/1.27    = skol1( i2003_11_14_17_19_17492 ) }.
% 0.87/1.27  substitution0:
% 0.87/1.27     X := i2003_11_14_17_19_17492
% 0.87/1.27  end
% 0.87/1.27  substitution1:
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  subsumption: (954) {G8,W0,D0,L0,V0,M0} R(206,112);r(552) {  }.
% 0.87/1.27  parent0: (1268) {G5,W0,D0,L0,V0,M0}  {  }.
% 0.87/1.27  substitution0:
% 0.87/1.27  end
% 0.87/1.27  permutation0:
% 0.87/1.27  end
% 0.87/1.27  
% 0.87/1.27  Proof check complete!
% 0.87/1.27  
% 0.87/1.27  Memory use:
% 0.87/1.27  
% 0.87/1.27  space for terms:        12371
% 0.87/1.27  space for clauses:      37099
% 0.87/1.27  
% 0.87/1.27  
% 0.87/1.27  clauses generated:      3163
% 0.87/1.27  clauses kept:           955
% 0.87/1.27  clauses selected:       133
% 0.87/1.27  clauses deleted:        14
% 0.87/1.27  clauses inuse deleted:  0
% 0.87/1.27  
% 0.87/1.27  subsentry:          11291
% 0.87/1.27  literals s-matched: 8602
% 0.87/1.27  literals matched:   8150
% 0.87/1.27  full subsumption:   4428
% 0.87/1.27  
% 0.87/1.27  checksum:           -1456171834
% 0.87/1.27  
% 0.87/1.27  
% 0.87/1.27  Bliksem ended
%------------------------------------------------------------------------------