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Bliksem---1.12.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : KRS078+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n022.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 02:42:09 EDT 2022

% Result   : Unsatisfiable 0.91s 1.28s
% Output   : Refutation 0.91s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : KRS078+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.12  % Command  : bliksem %s
% 0.12/0.32  % Computer : n022.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % DateTime : Tue Jun  7 13:46:20 EDT 2022
% 0.12/0.32  % CPUTime  : 
% 0.91/1.28  *** allocated 10000 integers for termspace/termends
% 0.91/1.28  *** allocated 10000 integers for clauses
% 0.91/1.28  *** allocated 10000 integers for justifications
% 0.91/1.28  Bliksem 1.12
% 0.91/1.28  
% 0.91/1.28  
% 0.91/1.28  Automatic Strategy Selection
% 0.91/1.28  
% 0.91/1.28  
% 0.91/1.28  Clauses:
% 0.91/1.28  
% 0.91/1.28  { ! Y = X, ! cUnsatisfiable( Y ), cUnsatisfiable( X ) }.
% 0.91/1.28  { ! Y = X, ! cowlNothing( Y ), cowlNothing( X ) }.
% 0.91/1.28  { ! Y = X, ! cowlThing( Y ), cowlThing( X ) }.
% 0.91/1.28  { ! Y = X, ! cp( Y ), cp( X ) }.
% 0.91/1.28  { ! Y = X, ! cq( Y ), cq( X ) }.
% 0.91/1.28  { ! Z = X, ! rinvR( Z, Y ), rinvR( X, Y ) }.
% 0.91/1.28  { ! Z = X, ! rinvR( Y, Z ), rinvR( Y, X ) }.
% 0.91/1.28  { ! Z = X, ! rr( Z, Y ), rr( X, Y ) }.
% 0.91/1.28  { ! Z = X, ! rr( Y, Z ), rr( Y, X ) }.
% 0.91/1.28  { ! Z = X, ! rs( Z, Y ), rs( X, Y ) }.
% 0.91/1.28  { ! Z = X, ! rs( Y, Z ), rs( Y, X ) }.
% 0.91/1.28  { ! Y = X, ! xsd_integer( Y ), xsd_integer( X ) }.
% 0.91/1.28  { ! Y = X, ! xsd_string( Y ), xsd_string( X ) }.
% 0.91/1.28  { cowlThing( X ) }.
% 0.91/1.28  { ! cowlNothing( X ) }.
% 0.91/1.28  { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.91/1.28  { xsd_integer( X ), xsd_string( X ) }.
% 0.91/1.28  { ! cUnsatisfiable( X ), alpha1( X ) }.
% 0.91/1.28  { ! cUnsatisfiable( X ), alpha2( X ) }.
% 0.91/1.28  { ! alpha1( X ), ! alpha2( X ), cUnsatisfiable( X ) }.
% 0.91/1.28  { ! alpha2( X ), alpha4( skol1( Y ) ) }.
% 0.91/1.28  { ! alpha2( X ), rs( X, skol1( X ) ) }.
% 0.91/1.28  { ! rs( X, Y ), ! alpha4( Y ), alpha2( X ) }.
% 0.91/1.28  { ! alpha4( X ), ! cq( X ) }.
% 0.91/1.28  { ! alpha4( X ), ! cp( X ) }.
% 0.91/1.28  { cq( X ), cp( X ), alpha4( X ) }.
% 0.91/1.28  { ! alpha1( X ), alpha3( skol2( Y ) ) }.
% 0.91/1.28  { ! alpha1( X ), rr( X, skol2( X ) ) }.
% 0.91/1.28  { ! rr( X, Y ), ! alpha3( Y ), alpha1( X ) }.
% 0.91/1.28  { ! alpha3( X ), alpha5( X ) }.
% 0.91/1.28  { ! alpha3( X ), alpha6( X ) }.
% 0.91/1.28  { ! alpha5( X ), ! alpha6( X ), alpha3( X ) }.
% 0.91/1.28  { ! alpha6( X ), ! alpha8( X, Y, Z ), Y = Z }.
% 0.91/1.28  { alpha8( X, skol3( X ), skol6( X ) ), alpha6( X ) }.
% 0.91/1.28  { ! skol3( X ) = skol6( X ), alpha6( X ) }.
% 0.91/1.28  { ! alpha8( X, Y, Z ), rinvR( X, Y ) }.
% 0.91/1.28  { ! alpha8( X, Y, Z ), rinvR( X, Z ) }.
% 0.91/1.28  { ! rinvR( X, Y ), ! rinvR( X, Z ), alpha8( X, Y, Z ) }.
% 0.91/1.28  { ! alpha5( X ), alpha7( skol4( Y ) ) }.
% 0.91/1.28  { ! alpha5( X ), rinvR( X, skol4( X ) ) }.
% 0.91/1.28  { ! rinvR( X, Y ), ! alpha7( Y ), alpha5( X ) }.
% 0.91/1.28  { ! alpha7( X ), ! rs( X, Y ), cp( Y ) }.
% 0.91/1.28  { ! cp( skol5( Y ) ), alpha7( X ) }.
% 0.91/1.28  { rs( X, skol5( X ) ), alpha7( X ) }.
% 0.91/1.28  { ! rinvR( X, Y ), rr( Y, X ) }.
% 0.91/1.28  { ! rr( Y, X ), rinvR( X, Y ) }.
% 0.91/1.28  { cUnsatisfiable( i2003_11_14_17_19_13721 ) }.
% 0.91/1.28  
% 0.91/1.28  percentage equality = 0.132743, percentage horn = 0.914894
% 0.91/1.28  This is a problem with some equality
% 0.91/1.28  
% 0.91/1.28  
% 0.91/1.28  
% 0.91/1.28  Options Used:
% 0.91/1.28  
% 0.91/1.28  useres =            1
% 0.91/1.28  useparamod =        1
% 0.91/1.28  useeqrefl =         1
% 0.91/1.28  useeqfact =         1
% 0.91/1.28  usefactor =         1
% 0.91/1.28  usesimpsplitting =  0
% 0.91/1.28  usesimpdemod =      5
% 0.91/1.28  usesimpres =        3
% 0.91/1.28  
% 0.91/1.28  resimpinuse      =  1000
% 0.91/1.28  resimpclauses =     20000
% 0.91/1.28  substype =          eqrewr
% 0.91/1.28  backwardsubs =      1
% 0.91/1.28  selectoldest =      5
% 0.91/1.28  
% 0.91/1.28  litorderings [0] =  split
% 0.91/1.28  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.91/1.28  
% 0.91/1.28  termordering =      kbo
% 0.91/1.28  
% 0.91/1.28  litapriori =        0
% 0.91/1.28  termapriori =       1
% 0.91/1.28  litaposteriori =    0
% 0.91/1.28  termaposteriori =   0
% 0.91/1.28  demodaposteriori =  0
% 0.91/1.28  ordereqreflfact =   0
% 0.91/1.28  
% 0.91/1.28  litselect =         negord
% 0.91/1.28  
% 0.91/1.28  maxweight =         15
% 0.91/1.28  maxdepth =          30000
% 0.91/1.28  maxlength =         115
% 0.91/1.28  maxnrvars =         195
% 0.91/1.28  excuselevel =       1
% 0.91/1.28  increasemaxweight = 1
% 0.91/1.28  
% 0.91/1.28  maxselected =       10000000
% 0.91/1.28  maxnrclauses =      10000000
% 0.91/1.28  
% 0.91/1.28  showgenerated =    0
% 0.91/1.28  showkept =         0
% 0.91/1.28  showselected =     0
% 0.91/1.28  showdeleted =      0
% 0.91/1.28  showresimp =       1
% 0.91/1.28  showstatus =       2000
% 0.91/1.28  
% 0.91/1.28  prologoutput =     0
% 0.91/1.28  nrgoals =          5000000
% 0.91/1.28  totalproof =       1
% 0.91/1.28  
% 0.91/1.28  Symbols occurring in the translation:
% 0.91/1.28  
% 0.91/1.28  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.91/1.28  .  [1, 2]      (w:1, o:41, a:1, s:1, b:0), 
% 0.91/1.28  !  [4, 1]      (w:0, o:16, a:1, s:1, b:0), 
% 0.91/1.28  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.91/1.28  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.91/1.28  cUnsatisfiable  [37, 1]      (w:1, o:21, a:1, s:1, b:0), 
% 0.91/1.28  cowlNothing  [38, 1]      (w:1, o:22, a:1, s:1, b:0), 
% 0.91/1.28  cowlThing  [39, 1]      (w:1, o:23, a:1, s:1, b:0), 
% 0.91/1.28  cp  [40, 1]      (w:1, o:24, a:1, s:1, b:0), 
% 0.91/1.28  cq  [41, 1]      (w:1, o:25, a:1, s:1, b:0), 
% 0.91/1.28  rinvR  [43, 2]      (w:1, o:65, a:1, s:1, b:0), 
% 0.91/1.28  rr  [44, 2]      (w:1, o:66, a:1, s:1, b:0), 
% 0.91/1.28  rs  [45, 2]      (w:1, o:67, a:1, s:1, b:0), 
% 0.91/1.28  xsd_integer  [46, 1]      (w:1, o:26, a:1, s:1, b:0), 
% 0.91/1.28  xsd_string  [47, 1]      (w:1, o:27, a:1, s:1, b:0), 
% 0.91/1.28  i2003_11_14_17_19_13721  [54, 0]      (w:1, o:15, a:1, s:1, b:0), 
% 0.91/1.28  alpha1  [55, 1]      (w:1, o:28, a:1, s:1, b:1), 
% 0.91/1.28  alpha2  [56, 1]      (w:1, o:29, a:1, s:1, b:1), 
% 0.91/1.28  alpha3  [57, 1]      (w:1, o:30, a:1, s:1, b:1), 
% 0.91/1.28  alpha4  [58, 1]      (w:1, o:31, a:1, s:1, b:1), 
% 0.91/1.28  alpha5  [59, 1]      (w:1, o:32, a:1, s:1, b:1), 
% 0.91/1.28  alpha6  [60, 1]      (w:1, o:33, a:1, s:1, b:1), 
% 0.91/1.28  alpha7  [61, 1]      (w:1, o:34, a:1, s:1, b:1), 
% 0.91/1.28  alpha8  [62, 3]      (w:1, o:68, a:1, s:1, b:1), 
% 0.91/1.28  skol1  [63, 1]      (w:1, o:35, a:1, s:1, b:1), 
% 0.91/1.28  skol2  [64, 1]      (w:1, o:36, a:1, s:1, b:1), 
% 0.91/1.28  skol3  [65, 1]      (w:1, o:37, a:1, s:1, b:1), 
% 0.91/1.28  skol4  [66, 1]      (w:1, o:38, a:1, s:1, b:1), 
% 0.91/1.28  skol5  [67, 1]      (w:1, o:39, a:1, s:1, b:1), 
% 0.91/1.28  skol6  [68, 1]      (w:1, o:40, a:1, s:1, b:1).
% 0.91/1.28  
% 0.91/1.28  
% 0.91/1.28  Starting Search:
% 0.91/1.28  
% 0.91/1.28  *** allocated 15000 integers for clauses
% 0.91/1.28  *** allocated 22500 integers for clauses
% 0.91/1.28  *** allocated 33750 integers for clauses
% 0.91/1.28  *** allocated 15000 integers for termspace/termends
% 0.91/1.28  *** allocated 50625 integers for clauses
% 0.91/1.28  Resimplifying inuse:
% 0.91/1.28  Done
% 0.91/1.28  
% 0.91/1.28  *** allocated 22500 integers for termspace/termends
% 0.91/1.28  *** allocated 75937 integers for clauses
% 0.91/1.28  *** allocated 33750 integers for termspace/termends
% 0.91/1.28  
% 0.91/1.28  Intermediate Status:
% 0.91/1.28  Generated:    6388
% 0.91/1.28  Kept:         2004
% 0.91/1.28  Inuse:        249
% 0.91/1.28  Deleted:      20
% 0.91/1.28  Deletedinuse: 5
% 0.91/1.28  
% 0.91/1.28  Resimplifying inuse:
% 0.91/1.28  Done
% 0.91/1.28  
% 0.91/1.28  *** allocated 113905 integers for clauses
% 0.91/1.28  *** allocated 50625 integers for termspace/termends
% 0.91/1.28  Resimplifying inuse:
% 0.91/1.28  Done
% 0.91/1.28  
% 0.91/1.28  *** allocated 170857 integers for clauses
% 0.91/1.28  *** allocated 75937 integers for termspace/termends
% 0.91/1.28  
% 0.91/1.28  Intermediate Status:
% 0.91/1.28  Generated:    14112
% 0.91/1.28  Kept:         4047
% 0.91/1.28  Inuse:        359
% 0.91/1.28  Deleted:      31
% 0.91/1.28  Deletedinuse: 5
% 0.91/1.28  
% 0.91/1.28  Resimplifying inuse:
% 0.91/1.28  
% 0.91/1.28  Bliksems!, er is een bewijs:
% 0.91/1.28  % SZS status Unsatisfiable
% 0.91/1.28  % SZS output start Refutation
% 0.91/1.28  
% 0.91/1.28  (0) {G0,W7,D2,L3,V2,M3} I { ! Y = X, ! cUnsatisfiable( Y ), cUnsatisfiable
% 0.91/1.28    ( X ) }.
% 0.91/1.28  (17) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X ) }.
% 0.91/1.28  (18) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha2( X ) }.
% 0.91/1.28  (20) {G0,W5,D3,L2,V2,M2} I { ! alpha2( X ), alpha4( skol1( Y ) ) }.
% 0.91/1.28  (21) {G0,W6,D3,L2,V1,M2} I { ! alpha2( X ), rs( X, skol1( X ) ) }.
% 0.91/1.28  (24) {G0,W4,D2,L2,V1,M2} I { ! alpha4( X ), ! cp( X ) }.
% 0.91/1.28  (26) {G0,W5,D3,L2,V2,M2} I { ! alpha1( X ), alpha3( skol2( Y ) ) }.
% 0.91/1.28  (27) {G0,W6,D3,L2,V1,M2} I { ! alpha1( X ), rr( X, skol2( X ) ) }.
% 0.91/1.28  (29) {G0,W4,D2,L2,V1,M2} I { ! alpha3( X ), alpha5( X ) }.
% 0.91/1.28  (30) {G0,W4,D2,L2,V1,M2} I { ! alpha3( X ), alpha6( X ) }.
% 0.91/1.28  (32) {G0,W9,D2,L3,V3,M3} I { ! alpha6( X ), ! alpha8( X, Y, Z ), Y = Z }.
% 0.91/1.28  (37) {G0,W10,D2,L3,V3,M3} I { ! rinvR( X, Y ), ! rinvR( X, Z ), alpha8( X, 
% 0.91/1.28    Y, Z ) }.
% 0.91/1.28  (38) {G0,W5,D3,L2,V2,M2} I { ! alpha5( X ), alpha7( skol4( Y ) ) }.
% 0.91/1.28  (39) {G0,W6,D3,L2,V1,M2} I { ! alpha5( X ), rinvR( X, skol4( X ) ) }.
% 0.91/1.28  (41) {G0,W7,D2,L3,V2,M3} I { ! alpha7( X ), ! rs( X, Y ), cp( Y ) }.
% 0.91/1.28  (45) {G0,W6,D2,L2,V2,M2} I { ! rr( Y, X ), rinvR( X, Y ) }.
% 0.91/1.28  (46) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( i2003_11_14_17_19_13721 ) }.
% 0.91/1.28  (49) {G1,W5,D2,L2,V1,M2} R(0,46) { ! i2003_11_14_17_19_13721 = X, 
% 0.91/1.28    cUnsatisfiable( X ) }.
% 0.91/1.28  (51) {G1,W2,D2,L1,V0,M1} R(18,46) { alpha2( i2003_11_14_17_19_13721 ) }.
% 0.91/1.28  (53) {G1,W2,D2,L1,V0,M1} R(17,46) { alpha1( i2003_11_14_17_19_13721 ) }.
% 0.91/1.28  (60) {G1,W5,D3,L2,V2,M2} R(38,29) { alpha7( skol4( X ) ), ! alpha3( Y ) }.
% 0.91/1.28  (63) {G2,W3,D3,L1,V1,M1} R(26,53) { alpha3( skol2( X ) ) }.
% 0.91/1.28  (66) {G3,W3,D3,L1,V1,M1} R(63,60) { alpha7( skol4( X ) ) }.
% 0.91/1.28  (67) {G3,W3,D3,L1,V1,M1} R(63,29) { alpha5( skol2( X ) ) }.
% 0.91/1.28  (68) {G3,W3,D3,L1,V1,M1} R(63,30) { alpha6( skol2( X ) ) }.
% 0.91/1.28  (73) {G2,W3,D3,L1,V1,M1} R(20,51) { alpha4( skol1( X ) ) }.
% 0.91/1.28  (77) {G3,W3,D3,L1,V1,M1} R(73,24) { ! cp( skol1( X ) ) }.
% 0.91/1.28  (104) {G4,W6,D4,L1,V1,M1} R(39,67) { rinvR( skol2( X ), skol4( skol2( X ) )
% 0.91/1.28     ) }.
% 0.91/1.28  (122) {G2,W4,D3,L1,V0,M1} R(27,53) { rr( i2003_11_14_17_19_13721, skol2( 
% 0.91/1.28    i2003_11_14_17_19_13721 ) ) }.
% 0.91/1.28  (125) {G3,W4,D3,L1,V0,M1} R(122,45) { rinvR( skol2( i2003_11_14_17_19_13721
% 0.91/1.28     ), i2003_11_14_17_19_13721 ) }.
% 0.91/1.28  (147) {G1,W6,D3,L2,V1,M2} R(21,18) { rs( X, skol1( X ) ), ! cUnsatisfiable
% 0.91/1.28    ( X ) }.
% 0.91/1.28  (435) {G4,W4,D2,L2,V1,M2} R(41,147);r(77) { ! alpha7( X ), ! cUnsatisfiable
% 0.91/1.28    ( X ) }.
% 0.91/1.28  (466) {G5,W3,D3,L1,V1,M1} R(435,66) { ! cUnsatisfiable( skol4( X ) ) }.
% 0.91/1.28  (471) {G6,W4,D3,L1,V1,M1} R(466,49) { ! skol4( X ) ==> 
% 0.91/1.28    i2003_11_14_17_19_13721 }.
% 0.91/1.28  (490) {G7,W10,D3,L3,V3,M3} P(32,471) { ! Y = i2003_11_14_17_19_13721, ! 
% 0.91/1.28    alpha6( Z ), ! alpha8( Z, skol4( X ), Y ) }.
% 0.91/1.28  (493) {G8,W7,D3,L2,V2,M2} Q(490) { ! alpha6( X ), ! alpha8( X, skol4( Y ), 
% 0.91/1.28    i2003_11_14_17_19_13721 ) }.
% 0.91/1.28  (648) {G9,W6,D3,L1,V2,M1} R(493,68) { ! alpha8( skol2( X ), skol4( Y ), 
% 0.91/1.28    i2003_11_14_17_19_13721 ) }.
% 0.91/1.28  (678) {G10,W9,D3,L2,V2,M2} R(648,37) { ! rinvR( skol2( X ), skol4( Y ) ), !
% 0.91/1.28     rinvR( skol2( X ), i2003_11_14_17_19_13721 ) }.
% 0.91/1.28  (4032) {G11,W4,D3,L1,V1,M1} R(678,104) { ! rinvR( skol2( X ), 
% 0.91/1.28    i2003_11_14_17_19_13721 ) }.
% 0.91/1.28  (4047) {G12,W0,D0,L0,V0,M0} S(125);r(4032) {  }.
% 0.91/1.28  
% 0.91/1.28  
% 0.91/1.28  % SZS output end Refutation
% 0.91/1.28  found a proof!
% 0.91/1.28  
% 0.91/1.28  
% 0.91/1.28  Unprocessed initial clauses:
% 0.91/1.28  
% 0.91/1.28  (4049) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! cUnsatisfiable( Y ), 
% 0.91/1.28    cUnsatisfiable( X ) }.
% 0.91/1.28  (4050) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! cowlNothing( Y ), cowlNothing( X )
% 0.91/1.28     }.
% 0.91/1.28  (4051) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! cowlThing( Y ), cowlThing( X ) }.
% 0.91/1.28  (4052) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! cp( Y ), cp( X ) }.
% 0.91/1.28  (4053) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! cq( Y ), cq( X ) }.
% 0.91/1.28  (4054) {G0,W9,D2,L3,V3,M3}  { ! Z = X, ! rinvR( Z, Y ), rinvR( X, Y ) }.
% 0.91/1.28  (4055) {G0,W9,D2,L3,V3,M3}  { ! Z = X, ! rinvR( Y, Z ), rinvR( Y, X ) }.
% 0.91/1.28  (4056) {G0,W9,D2,L3,V3,M3}  { ! Z = X, ! rr( Z, Y ), rr( X, Y ) }.
% 0.91/1.28  (4057) {G0,W9,D2,L3,V3,M3}  { ! Z = X, ! rr( Y, Z ), rr( Y, X ) }.
% 0.91/1.28  (4058) {G0,W9,D2,L3,V3,M3}  { ! Z = X, ! rs( Z, Y ), rs( X, Y ) }.
% 0.91/1.28  (4059) {G0,W9,D2,L3,V3,M3}  { ! Z = X, ! rs( Y, Z ), rs( Y, X ) }.
% 0.91/1.28  (4060) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! xsd_integer( Y ), xsd_integer( X )
% 0.91/1.28     }.
% 0.91/1.28  (4061) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! xsd_string( Y ), xsd_string( X )
% 0.91/1.28     }.
% 0.91/1.28  (4062) {G0,W2,D2,L1,V1,M1}  { cowlThing( X ) }.
% 0.91/1.28  (4063) {G0,W2,D2,L1,V1,M1}  { ! cowlNothing( X ) }.
% 0.91/1.28  (4064) {G0,W4,D2,L2,V1,M2}  { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.91/1.28  (4065) {G0,W4,D2,L2,V1,M2}  { xsd_integer( X ), xsd_string( X ) }.
% 0.91/1.28  (4066) {G0,W4,D2,L2,V1,M2}  { ! cUnsatisfiable( X ), alpha1( X ) }.
% 0.91/1.28  (4067) {G0,W4,D2,L2,V1,M2}  { ! cUnsatisfiable( X ), alpha2( X ) }.
% 0.91/1.28  (4068) {G0,W6,D2,L3,V1,M3}  { ! alpha1( X ), ! alpha2( X ), cUnsatisfiable
% 0.91/1.28    ( X ) }.
% 0.91/1.28  (4069) {G0,W5,D3,L2,V2,M2}  { ! alpha2( X ), alpha4( skol1( Y ) ) }.
% 0.91/1.28  (4070) {G0,W6,D3,L2,V1,M2}  { ! alpha2( X ), rs( X, skol1( X ) ) }.
% 0.91/1.28  (4071) {G0,W7,D2,L3,V2,M3}  { ! rs( X, Y ), ! alpha4( Y ), alpha2( X ) }.
% 0.91/1.28  (4072) {G0,W4,D2,L2,V1,M2}  { ! alpha4( X ), ! cq( X ) }.
% 0.91/1.28  (4073) {G0,W4,D2,L2,V1,M2}  { ! alpha4( X ), ! cp( X ) }.
% 0.91/1.28  (4074) {G0,W6,D2,L3,V1,M3}  { cq( X ), cp( X ), alpha4( X ) }.
% 0.91/1.28  (4075) {G0,W5,D3,L2,V2,M2}  { ! alpha1( X ), alpha3( skol2( Y ) ) }.
% 0.91/1.28  (4076) {G0,W6,D3,L2,V1,M2}  { ! alpha1( X ), rr( X, skol2( X ) ) }.
% 0.91/1.28  (4077) {G0,W7,D2,L3,V2,M3}  { ! rr( X, Y ), ! alpha3( Y ), alpha1( X ) }.
% 0.91/1.28  (4078) {G0,W4,D2,L2,V1,M2}  { ! alpha3( X ), alpha5( X ) }.
% 0.91/1.28  (4079) {G0,W4,D2,L2,V1,M2}  { ! alpha3( X ), alpha6( X ) }.
% 0.91/1.28  (4080) {G0,W6,D2,L3,V1,M3}  { ! alpha5( X ), ! alpha6( X ), alpha3( X ) }.
% 0.91/1.28  (4081) {G0,W9,D2,L3,V3,M3}  { ! alpha6( X ), ! alpha8( X, Y, Z ), Y = Z }.
% 0.91/1.28  (4082) {G0,W8,D3,L2,V1,M2}  { alpha8( X, skol3( X ), skol6( X ) ), alpha6( 
% 0.91/1.28    X ) }.
% 0.91/1.28  (4083) {G0,W7,D3,L2,V1,M2}  { ! skol3( X ) = skol6( X ), alpha6( X ) }.
% 0.91/1.28  (4084) {G0,W7,D2,L2,V3,M2}  { ! alpha8( X, Y, Z ), rinvR( X, Y ) }.
% 0.91/1.28  (4085) {G0,W7,D2,L2,V3,M2}  { ! alpha8( X, Y, Z ), rinvR( X, Z ) }.
% 0.91/1.28  (4086) {G0,W10,D2,L3,V3,M3}  { ! rinvR( X, Y ), ! rinvR( X, Z ), alpha8( X
% 0.91/1.28    , Y, Z ) }.
% 0.91/1.28  (4087) {G0,W5,D3,L2,V2,M2}  { ! alpha5( X ), alpha7( skol4( Y ) ) }.
% 0.91/1.28  (4088) {G0,W6,D3,L2,V1,M2}  { ! alpha5( X ), rinvR( X, skol4( X ) ) }.
% 0.91/1.28  (4089) {G0,W7,D2,L3,V2,M3}  { ! rinvR( X, Y ), ! alpha7( Y ), alpha5( X )
% 0.91/1.28     }.
% 0.91/1.28  (4090) {G0,W7,D2,L3,V2,M3}  { ! alpha7( X ), ! rs( X, Y ), cp( Y ) }.
% 0.91/1.28  (4091) {G0,W5,D3,L2,V2,M2}  { ! cp( skol5( Y ) ), alpha7( X ) }.
% 0.91/1.28  (4092) {G0,W6,D3,L2,V1,M2}  { rs( X, skol5( X ) ), alpha7( X ) }.
% 0.91/1.28  (4093) {G0,W6,D2,L2,V2,M2}  { ! rinvR( X, Y ), rr( Y, X ) }.
% 0.91/1.28  (4094) {G0,W6,D2,L2,V2,M2}  { ! rr( Y, X ), rinvR( X, Y ) }.
% 0.91/1.28  (4095) {G0,W2,D2,L1,V0,M1}  { cUnsatisfiable( i2003_11_14_17_19_13721 ) }.
% 0.91/1.28  
% 0.91/1.28  
% 0.91/1.28  Total Proof:
% 0.91/1.28  
% 0.91/1.28  subsumption: (0) {G0,W7,D2,L3,V2,M3} I { ! Y = X, ! cUnsatisfiable( Y ), 
% 0.91/1.28    cUnsatisfiable( X ) }.
% 0.91/1.28  parent0: (4049) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! cUnsatisfiable( Y ), 
% 0.91/1.28    cUnsatisfiable( X ) }.
% 0.91/1.28  substitution0:
% 0.91/1.28     X := X
% 0.91/1.28     Y := Y
% 0.91/1.28  end
% 0.91/1.28  permutation0:
% 0.91/1.28     0 ==> 0
% 0.91/1.28     1 ==> 1
% 0.91/1.28     2 ==> 2
% 0.91/1.28  end
% 0.91/1.28  
% 0.91/1.28  subsumption: (17) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X
% 0.91/1.28     ) }.
% 0.91/1.28  parent0: (4066) {G0,W4,D2,L2,V1,M2}  { ! cUnsatisfiable( X ), alpha1( X )
% 0.91/1.28     }.
% 0.91/1.28  substitution0:
% 0.91/1.28     X := X
% 0.91/1.28  end
% 0.91/1.28  permutation0:
% 0.91/1.28     0 ==> 0
% 0.91/1.28     1 ==> 1
% 0.91/1.28  end
% 0.91/1.28  
% 0.91/1.28  subsumption: (18) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha2( X
% 0.91/1.28     ) }.
% 0.91/1.28  parent0: (4067) {G0,W4,D2,L2,V1,M2}  { ! cUnsatisfiable( X ), alpha2( X )
% 0.91/1.28     }.
% 0.91/1.28  substitution0:
% 0.91/1.28     X := X
% 0.91/1.28  end
% 0.91/1.28  permutation0:
% 0.91/1.28     0 ==> 0
% 0.91/1.28     1 ==> 1
% 0.91/1.28  end
% 0.91/1.28  
% 0.91/1.28  subsumption: (20) {G0,W5,D3,L2,V2,M2} I { ! alpha2( X ), alpha4( skol1( Y )
% 0.91/1.28     ) }.
% 0.91/1.28  parent0: (4069) {G0,W5,D3,L2,V2,M2}  { ! alpha2( X ), alpha4( skol1( Y ) )
% 0.91/1.28     }.
% 0.91/1.28  substitution0:
% 0.91/1.28     X := X
% 0.91/1.28     Y := Y
% 0.91/1.28  end
% 0.91/1.28  permutation0:
% 0.91/1.28     0 ==> 0
% 0.91/1.28     1 ==> 1
% 0.91/1.28  end
% 0.91/1.28  
% 0.91/1.28  subsumption: (21) {G0,W6,D3,L2,V1,M2} I { ! alpha2( X ), rs( X, skol1( X )
% 0.91/1.28     ) }.
% 0.91/1.28  parent0: (4070) {G0,W6,D3,L2,V1,M2}  { ! alpha2( X ), rs( X, skol1( X ) )
% 0.91/1.28     }.
% 0.91/1.28  substitution0:
% 0.91/1.28     X := X
% 0.91/1.28  end
% 0.91/1.28  permutation0:
% 0.91/1.28     0 ==> 0
% 0.91/1.28     1 ==> 1
% 0.91/1.28  end
% 0.91/1.28  
% 0.91/1.28  subsumption: (24) {G0,W4,D2,L2,V1,M2} I { ! alpha4( X ), ! cp( X ) }.
% 0.91/1.28  parent0: (4073) {G0,W4,D2,L2,V1,M2}  { ! alpha4( X ), ! cp( X ) }.
% 0.91/1.28  substitution0:
% 0.91/1.28     X := X
% 0.91/1.28  end
% 0.91/1.28  permutation0:
% 0.91/1.28     0 ==> 0
% 0.91/1.28     1 ==> 1
% 0.91/1.28  end
% 0.91/1.28  
% 0.91/1.28  subsumption: (26) {G0,W5,D3,L2,V2,M2} I { ! alpha1( X ), alpha3( skol2( Y )
% 0.91/1.28     ) }.
% 0.91/1.28  parent0: (4075) {G0,W5,D3,L2,V2,M2}  { ! alpha1( X ), alpha3( skol2( Y ) )
% 0.91/1.28     }.
% 0.91/1.28  substitution0:
% 0.91/1.28     X := X
% 0.91/1.28     Y := Y
% 0.91/1.28  end
% 0.91/1.28  permutation0:
% 0.91/1.28     0 ==> 0
% 0.91/1.28     1 ==> 1
% 0.91/1.28  end
% 0.91/1.28  
% 0.91/1.28  subsumption: (27) {G0,W6,D3,L2,V1,M2} I { ! alpha1( X ), rr( X, skol2( X )
% 0.91/1.28     ) }.
% 0.91/1.28  parent0: (4076) {G0,W6,D3,L2,V1,M2}  { ! alpha1( X ), rr( X, skol2( X ) )
% 0.91/1.28     }.
% 0.91/1.28  substitution0:
% 0.91/1.28     X := X
% 0.91/1.28  end
% 0.91/1.28  permutation0:
% 0.91/1.28     0 ==> 0
% 0.91/1.28     1 ==> 1
% 0.91/1.28  end
% 0.91/1.28  
% 0.91/1.28  subsumption: (29) {G0,W4,D2,L2,V1,M2} I { ! alpha3( X ), alpha5( X ) }.
% 0.91/1.28  parent0: (4078) {G0,W4,D2,L2,V1,M2}  { ! alpha3( X ), alpha5( X ) }.
% 0.91/1.28  substitution0:
% 0.91/1.28     X := X
% 0.91/1.28  end
% 0.91/1.28  permutation0:
% 0.91/1.28     0 ==> 0
% 0.91/1.28     1 ==> 1
% 0.91/1.28  end
% 0.91/1.28  
% 0.91/1.28  subsumption: (30) {G0,W4,D2,L2,V1,M2} I { ! alpha3( X ), alpha6( X ) }.
% 0.91/1.28  parent0: (4079) {G0,W4,D2,L2,V1,M2}  { ! alpha3( X ), alpha6( X ) }.
% 0.91/1.28  substitution0:
% 0.91/1.28     X := X
% 0.91/1.28  end
% 0.91/1.28  permutation0:
% 0.91/1.28     0 ==> 0
% 0.91/1.28     1 ==> 1
% 0.91/1.28  end
% 0.91/1.28  
% 0.91/1.28  subsumption: (32) {G0,W9,D2,L3,V3,M3} I { ! alpha6( X ), ! alpha8( X, Y, Z
% 0.91/1.28     ), Y = Z }.
% 0.91/1.28  parent0: (4081) {G0,W9,D2,L3,V3,M3}  { ! alpha6( X ), ! alpha8( X, Y, Z ), 
% 0.91/1.28    Y = Z }.
% 0.91/1.28  substitution0:
% 0.91/1.28     X := X
% 0.91/1.28     Y := Y
% 0.91/1.28     Z := Z
% 0.91/1.28  end
% 0.91/1.28  permutation0:
% 0.91/1.28     0 ==> 0
% 0.91/1.28     1 ==> 1
% 0.91/1.28     2 ==> 2
% 0.91/1.28  end
% 0.91/1.28  
% 0.91/1.28  subsumption: (37) {G0,W10,D2,L3,V3,M3} I { ! rinvR( X, Y ), ! rinvR( X, Z )
% 0.91/1.28    , alpha8( X, Y, Z ) }.
% 0.91/1.28  parent0: (4086) {G0,W10,D2,L3,V3,M3}  { ! rinvR( X, Y ), ! rinvR( X, Z ), 
% 0.91/1.28    alpha8( X, Y, Z ) }.
% 0.91/1.28  substitution0:
% 0.91/1.28     X := X
% 0.91/1.28     Y := Y
% 0.91/1.28     Z := Z
% 0.91/1.28  end
% 0.91/1.28  permutation0:
% 0.91/1.28     0 ==> 0
% 0.91/1.28     1 ==> 1
% 0.91/1.28     2 ==> 2
% 0.91/1.28  end
% 0.91/1.28  
% 0.91/1.28  subsumption: (38) {G0,W5,D3,L2,V2,M2} I { ! alpha5( X ), alpha7( skol4( Y )
% 0.91/1.28     ) }.
% 0.91/1.28  parent0: (4087) {G0,W5,D3,L2,V2,M2}  { ! alpha5( X ), alpha7( skol4( Y ) )
% 0.91/1.28     }.
% 0.91/1.28  substitution0:
% 0.91/1.28     X := X
% 0.91/1.28     Y := Y
% 0.91/1.28  end
% 0.91/1.28  permutation0:
% 0.91/1.28     0 ==> 0
% 0.91/1.28     1 ==> 1
% 0.91/1.28  end
% 0.91/1.28  
% 0.91/1.28  subsumption: (39) {G0,W6,D3,L2,V1,M2} I { ! alpha5( X ), rinvR( X, skol4( X
% 0.91/1.28     ) ) }.
% 0.91/1.28  parent0: (4088) {G0,W6,D3,L2,V1,M2}  { ! alpha5( X ), rinvR( X, skol4( X )
% 0.91/1.28     ) }.
% 0.91/1.28  substitution0:
% 0.91/1.28     X := X
% 0.91/1.28  end
% 0.91/1.28  permutation0:
% 0.91/1.28     0 ==> 0
% 0.91/1.28     1 ==> 1
% 0.91/1.28  end
% 0.91/1.28  
% 0.91/1.28  subsumption: (41) {G0,W7,D2,L3,V2,M3} I { ! alpha7( X ), ! rs( X, Y ), cp( 
% 0.91/1.28    Y ) }.
% 0.91/1.28  parent0: (4090) {G0,W7,D2,L3,V2,M3}  { ! alpha7( X ), ! rs( X, Y ), cp( Y )
% 0.91/1.28     }.
% 0.91/1.28  substitution0:
% 0.91/1.28     X := X
% 0.91/1.28     Y := Y
% 0.91/1.28  end
% 0.91/1.28  permutation0:
% 0.91/1.28     0 ==> 0
% 0.91/1.28     1 ==> 1
% 0.91/1.28     2 ==> 2
% 0.91/1.28  end
% 0.91/1.28  
% 0.91/1.28  subsumption: (45) {G0,W6,D2,L2,V2,M2} I { ! rr( Y, X ), rinvR( X, Y ) }.
% 0.91/1.28  parent0: (4094) {G0,W6,D2,L2,V2,M2}  { ! rr( Y, X ), rinvR( X, Y ) }.
% 0.91/1.28  substitution0:
% 0.91/1.28     X := X
% 0.91/1.28     Y := Y
% 0.91/1.28  end
% 0.91/1.28  permutation0:
% 0.91/1.28     0 ==> 0
% 0.91/1.28     1 ==> 1
% 0.91/1.28  end
% 0.91/1.28  
% 0.91/1.28  subsumption: (46) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( 
% 0.91/1.28    i2003_11_14_17_19_13721 ) }.
% 0.91/1.28  parent0: (4095) {G0,W2,D2,L1,V0,M1}  { cUnsatisfiable( 
% 0.91/1.28    i2003_11_14_17_19_13721 ) }.
% 0.91/1.28  substitution0:
% 0.91/1.28  end
% 0.91/1.28  permutation0:
% 0.91/1.28     0 ==> 0
% 0.91/1.28  end
% 0.91/1.28  
% 0.91/1.28  eqswap: (4324) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! cUnsatisfiable( X ), 
% 0.91/1.28    cUnsatisfiable( Y ) }.
% 0.91/1.28  parent0[0]: (0) {G0,W7,D2,L3,V2,M3} I { ! Y = X, ! cUnsatisfiable( Y ), 
% 0.91/1.28    cUnsatisfiable( X ) }.
% 0.91/1.28  substitution0:
% 0.91/1.28     X := Y
% 0.91/1.28     Y := X
% 0.91/1.28  end
% 0.91/1.28  
% 0.91/1.28  resolution: (4325) {G1,W5,D2,L2,V1,M2}  { ! X = i2003_11_14_17_19_13721, 
% 0.91/1.28    cUnsatisfiable( X ) }.
% 0.91/1.28  parent0[1]: (4324) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! cUnsatisfiable( X ), 
% 0.91/1.28    cUnsatisfiable( Y ) }.
% 0.91/1.28  parent1[0]: (46) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( 
% 0.91/1.28    i2003_11_14_17_19_13721 ) }.
% 0.91/1.28  substitution0:
% 0.91/1.28     X := i2003_11_14_17_19_13721
% 0.91/1.28     Y := X
% 0.91/1.28  end
% 0.91/1.28  substitution1:
% 0.91/1.28  end
% 0.91/1.28  
% 0.91/1.28  eqswap: (4326) {G1,W5,D2,L2,V1,M2}  { ! i2003_11_14_17_19_13721 = X, 
% 0.91/1.28    cUnsatisfiable( X ) }.
% 0.91/1.28  parent0[0]: (4325) {G1,W5,D2,L2,V1,M2}  { ! X = i2003_11_14_17_19_13721, 
% 0.91/1.28    cUnsatisfiable( X ) }.
% 0.91/1.28  substitution0:
% 0.91/1.28     X := X
% 0.91/1.28  end
% 0.91/1.28  
% 0.91/1.28  subsumption: (49) {G1,W5,D2,L2,V1,M2} R(0,46) { ! i2003_11_14_17_19_13721 =
% 0.91/1.28     X, cUnsatisfiable( X ) }.
% 0.91/1.28  parent0: (4326) {G1,W5,D2,L2,V1,M2}  { ! i2003_11_14_17_19_13721 = X, 
% 0.91/1.28    cUnsatisfiable( X ) }.
% 0.91/1.28  substitution0:
% 0.91/1.28     X := X
% 0.91/1.28  end
% 0.91/1.28  permutation0:
% 0.91/1.28     0 ==> 0
% 0.91/1.28     1 ==> 1
% 0.91/1.28  end
% 0.91/1.28  
% 0.91/1.28  resolution: (4327) {G1,W2,D2,L1,V0,M1}  { alpha2( i2003_11_14_17_19_13721 )
% 0.91/1.28     }.
% 0.91/1.28  parent0[0]: (18) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha2( X )
% 0.91/1.28     }.
% 0.91/1.28  parent1[0]: (46) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( 
% 0.91/1.28    i2003_11_14_17_19_13721 ) }.
% 0.91/1.28  substitution0:
% 0.91/1.28     X := i2003_11_14_17_19_13721
% 0.91/1.28  end
% 0.91/1.28  substitution1:
% 0.91/1.28  end
% 0.91/1.28  
% 0.91/1.28  subsumption: (51) {G1,W2,D2,L1,V0,M1} R(18,46) { alpha2( 
% 0.91/1.28    i2003_11_14_17_19_13721 ) }.
% 0.91/1.28  parent0: (4327) {G1,W2,D2,L1,V0,M1}  { alpha2( i2003_11_14_17_19_13721 )
% 0.91/1.28     }.
% 0.91/1.28  substitution0:
% 0.91/1.28  end
% 0.91/1.28  permutation0:
% 0.91/1.28     0 ==> 0
% 0.91/1.28  end
% 0.91/1.28  
% 0.91/1.28  resolution: (4328) {G1,W2,D2,L1,V0,M1}  { alpha1( i2003_11_14_17_19_13721 )
% 0.91/1.28     }.
% 0.91/1.28  parent0[0]: (17) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X )
% 0.91/1.28     }.
% 0.91/1.28  parent1[0]: (46) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( 
% 0.91/1.28    i2003_11_14_17_19_13721 ) }.
% 0.91/1.28  substitution0:
% 0.91/1.28     X := i2003_11_14_17_19_13721
% 0.91/1.28  end
% 0.91/1.28  substitution1:
% 0.91/1.28  end
% 0.91/1.28  
% 0.91/1.28  subsumption: (53) {G1,W2,D2,L1,V0,M1} R(17,46) { alpha1( 
% 0.91/1.28    i2003_11_14_17_19_13721 ) }.
% 0.91/1.28  parent0: (4328) {G1,W2,D2,L1,V0,M1}  { alpha1( i2003_11_14_17_19_13721 )
% 0.91/1.28     }.
% 0.91/1.28  substitution0:
% 0.91/1.28  end
% 0.91/1.28  permutation0:
% 0.91/1.28     0 ==> 0
% 0.91/1.28  end
% 0.91/1.28  
% 0.91/1.28  resolution: (4329) {G1,W5,D3,L2,V2,M2}  { alpha7( skol4( Y ) ), ! alpha3( X
% 0.91/1.28     ) }.
% 0.91/1.28  parent0[0]: (38) {G0,W5,D3,L2,V2,M2} I { ! alpha5( X ), alpha7( skol4( Y )
% 0.91/1.28     ) }.
% 0.91/1.28  parent1[1]: (29) {G0,W4,D2,L2,V1,M2} I { ! alpha3( X ), alpha5( X ) }.
% 0.91/1.28  substitution0:
% 0.91/1.28     X := X
% 0.91/1.28     Y := Y
% 0.91/1.28  end
% 0.91/1.28  substitution1:
% 0.91/1.28     X := X
% 0.91/1.28  end
% 0.91/1.28  
% 0.91/1.28  subsumption: (60) {G1,W5,D3,L2,V2,M2} R(38,29) { alpha7( skol4( X ) ), ! 
% 0.91/1.28    alpha3( Y ) }.
% 0.91/1.28  parent0: (4329) {G1,W5,D3,L2,V2,M2}  { alpha7( skol4( Y ) ), ! alpha3( X )
% 0.91/1.28     }.
% 0.91/1.28  substitution0:
% 0.91/1.28     X := Y
% 0.91/1.28     Y := X
% 0.91/1.28  end
% 0.91/1.28  permutation0:
% 0.91/1.28     0 ==> 0
% 0.91/1.28     1 ==> 1
% 0.91/1.28  end
% 0.91/1.28  
% 0.91/1.28  resolution: (4330) {G1,W3,D3,L1,V1,M1}  { alpha3( skol2( X ) ) }.
% 0.91/1.28  parent0[0]: (26) {G0,W5,D3,L2,V2,M2} I { ! alpha1( X ), alpha3( skol2( Y )
% 0.91/1.28     ) }.
% 0.91/1.28  parent1[0]: (53) {G1,W2,D2,L1,V0,M1} R(17,46) { alpha1( 
% 0.91/1.28    i2003_11_14_17_19_13721 ) }.
% 0.91/1.28  substitution0:
% 0.91/1.28     X := i2003_11_14_17_19_13721
% 0.91/1.28     Y := X
% 0.91/1.28  end
% 0.91/1.28  substitution1:
% 0.91/1.28  end
% 0.91/1.28  
% 0.91/1.28  subsumption: (63) {G2,W3,D3,L1,V1,M1} R(26,53) { alpha3( skol2( X ) ) }.
% 0.91/1.28  parent0: (4330) {G1,W3,D3,L1,V1,M1}  { alpha3( skol2( X ) ) }.
% 0.91/1.28  substitution0:
% 0.91/1.28     X := X
% 0.91/1.28  end
% 0.91/1.28  permutation0:
% 0.91/1.28     0 ==> 0
% 0.91/1.28  end
% 0.91/1.28  
% 0.91/1.28  resolution: (4331) {G2,W3,D3,L1,V1,M1}  { alpha7( skol4( X ) ) }.
% 0.91/1.28  parent0[1]: (60) {G1,W5,D3,L2,V2,M2} R(38,29) { alpha7( skol4( X ) ), ! 
% 0.91/1.28    alpha3( Y ) }.
% 0.91/1.28  parent1[0]: (63) {G2,W3,D3,L1,V1,M1} R(26,53) { alpha3( skol2( X ) ) }.
% 0.91/1.28  substitution0:
% 0.91/1.28     X := X
% 0.91/1.28     Y := skol2( Y )
% 0.91/1.28  end
% 0.91/1.28  substitution1:
% 0.91/1.28     X := Y
% 0.91/1.28  end
% 0.91/1.28  
% 0.91/1.28  subsumption: (66) {G3,W3,D3,L1,V1,M1} R(63,60) { alpha7( skol4( X ) ) }.
% 0.91/1.28  parent0: (4331) {G2,W3,D3,L1,V1,M1}  { alpha7( skol4( X ) ) }.
% 0.91/1.28  substitution0:
% 0.91/1.28     X := X
% 0.91/1.28  end
% 0.91/1.28  permutation0:
% 0.91/1.28     0 ==> 0
% 0.91/1.28  end
% 0.91/1.28  
% 0.91/1.28  resolution: (4332) {G1,W3,D3,L1,V1,M1}  { alpha5( skol2( X ) ) }.
% 0.91/1.28  parent0[0]: (29) {G0,W4,D2,L2,V1,M2} I { ! alpha3( X ), alpha5( X ) }.
% 0.91/1.28  parent1[0]: (63) {G2,W3,D3,L1,V1,M1} R(26,53) { alpha3( skol2( X ) ) }.
% 0.91/1.28  substitution0:
% 0.91/1.28     X := skol2( X )
% 0.91/1.28  end
% 0.91/1.28  substitution1:
% 0.91/1.28     X := X
% 0.91/1.28  end
% 0.91/1.28  
% 0.91/1.28  subsumption: (67) {G3,W3,D3,L1,V1,M1} R(63,29) { alpha5( skol2( X ) ) }.
% 0.91/1.28  parent0: (4332) {G1,W3,D3,L1,V1,M1}  { alpha5( skol2( X ) ) }.
% 0.91/1.28  substitution0:
% 0.91/1.28     X := X
% 0.91/1.28  end
% 0.91/1.28  permutation0:
% 0.91/1.28     0 ==> 0
% 0.91/1.28  end
% 0.91/1.28  
% 0.91/1.28  resolution: (4333) {G1,W3,D3,L1,V1,M1}  { alpha6( skol2( X ) ) }.
% 0.91/1.28  parent0[0]: (30) {G0,W4,D2,L2,V1,M2} I { ! alpha3( X ), alpha6( X ) }.
% 0.91/1.28  parent1[0]: (63) {G2,W3,D3,L1,V1,M1} R(26,53) { alpha3( skol2( X ) ) }.
% 0.91/1.28  substitution0:
% 0.91/1.28     X := skol2( X )
% 0.91/1.28  end
% 0.91/1.28  substitution1:
% 0.91/1.28     X := X
% 0.91/1.28  end
% 0.91/1.28  
% 0.91/1.28  subsumption: (68) {G3,W3,D3,L1,V1,M1} R(63,30) { alpha6( skol2( X ) ) }.
% 0.91/1.28  parent0: (4333) {G1,W3,D3,L1,V1,M1}  { alpha6( skol2( X ) ) }.
% 0.91/1.28  substitution0:
% 0.91/1.28     X := X
% 0.91/1.28  end
% 0.91/1.28  permutation0:
% 0.91/1.28     0 ==> 0
% 0.91/1.28  end
% 0.91/1.28  
% 0.91/1.28  resolution: (4334) {G1,W3,D3,L1,V1,M1}  { alpha4( skol1( X ) ) }.
% 0.91/1.28  parent0[0]: (20) {G0,W5,D3,L2,V2,M2} I { ! alpha2( X ), alpha4( skol1( Y )
% 0.91/1.28     ) }.
% 0.91/1.28  parent1[0]: (51) {G1,W2,D2,L1,V0,M1} R(18,46) { alpha2( 
% 0.91/1.28    i2003_11_14_17_19_13721 ) }.
% 0.91/1.28  substitution0:
% 0.91/1.28     X := i2003_11_14_17_19_13721
% 0.91/1.28     Y := X
% 0.91/1.28  end
% 0.91/1.28  substitution1:
% 0.91/1.28  end
% 0.91/1.28  
% 0.91/1.28  subsumption: (73) {G2,W3,D3,L1,V1,M1} R(20,51) { alpha4( skol1( X ) ) }.
% 0.91/1.28  parent0: (4334) {G1,W3,D3,L1,V1,M1}  { alpha4( skol1( X ) ) }.
% 0.91/1.28  substitution0:
% 0.91/1.28     X := X
% 0.91/1.28  end
% 0.91/1.28  permutation0:
% 0.91/1.28     0 ==> 0
% 0.91/1.28  end
% 0.91/1.28  
% 0.91/1.28  resolution: (4335) {G1,W3,D3,L1,V1,M1}  { ! cp( skol1( X ) ) }.
% 0.91/1.28  parent0[0]: (24) {G0,W4,D2,L2,V1,M2} I { ! alpha4( X ), ! cp( X ) }.
% 0.91/1.28  parent1[0]: (73) {G2,W3,D3,L1,V1,M1} R(20,51) { alpha4( skol1( X ) ) }.
% 0.91/1.28  substitution0:
% 0.91/1.28     X := skol1( X )
% 0.91/1.28  end
% 0.91/1.28  substitution1:
% 0.91/1.28     X := X
% 0.91/1.28  end
% 0.91/1.28  
% 0.91/1.28  subsumption: (77) {G3,W3,D3,L1,V1,M1} R(73,24) { ! cp( skol1( X ) ) }.
% 0.91/1.28  parent0: (4335) {G1,W3,D3,L1,V1,M1}  { ! cp( skol1( X ) ) }.
% 0.91/1.28  substitution0:
% 0.91/1.28     X := X
% 0.91/1.28  end
% 0.91/1.28  permutation0:
% 0.91/1.28     0 ==> 0
% 0.91/1.28  end
% 0.91/1.28  
% 0.91/1.28  resolution: (4336) {G1,W6,D4,L1,V1,M1}  { rinvR( skol2( X ), skol4( skol2( 
% 0.91/1.28    X ) ) ) }.
% 0.91/1.28  parent0[0]: (39) {G0,W6,D3,L2,V1,M2} I { ! alpha5( X ), rinvR( X, skol4( X
% 0.91/1.28     ) ) }.
% 0.91/1.28  parent1[0]: (67) {G3,W3,D3,L1,V1,M1} R(63,29) { alpha5( skol2( X ) ) }.
% 0.91/1.28  substitution0:
% 0.91/1.28     X := skol2( X )
% 0.91/1.28  end
% 0.91/1.28  substitution1:
% 0.91/1.28     X := X
% 0.91/1.28  end
% 0.91/1.28  
% 0.91/1.28  subsumption: (104) {G4,W6,D4,L1,V1,M1} R(39,67) { rinvR( skol2( X ), skol4
% 0.91/1.28    ( skol2( X ) ) ) }.
% 0.91/1.28  parent0: (4336) {G1,W6,D4,L1,V1,M1}  { rinvR( skol2( X ), skol4( skol2( X )
% 0.91/1.28     ) ) }.
% 0.91/1.28  substitution0:
% 0.91/1.28     X := X
% 0.91/1.28  end
% 0.91/1.28  permutation0:
% 0.91/1.28     0 ==> 0
% 0.91/1.28  end
% 0.91/1.28  
% 0.91/1.28  resolution: (4337) {G1,W4,D3,L1,V0,M1}  { rr( i2003_11_14_17_19_13721, 
% 0.91/1.28    skol2( i2003_11_14_17_19_13721 ) ) }.
% 0.91/1.28  parent0[0]: (27) {G0,W6,D3,L2,V1,M2} I { ! alpha1( X ), rr( X, skol2( X ) )
% 0.91/1.28     }.
% 0.91/1.28  parent1[0]: (53) {G1,W2,D2,L1,V0,M1} R(17,46) { alpha1( 
% 0.91/1.28    i2003_11_14_17_19_13721 ) }.
% 0.91/1.28  substitution0:
% 0.91/1.28     X := i2003_11_14_17_19_13721
% 0.91/1.28  end
% 0.91/1.28  substitution1:
% 0.91/1.28  end
% 0.91/1.28  
% 0.91/1.28  subsumption: (122) {G2,W4,D3,L1,V0,M1} R(27,53) { rr( 
% 0.91/1.28    i2003_11_14_17_19_13721, skol2( i2003_11_14_17_19_13721 ) ) }.
% 0.91/1.28  parent0: (4337) {G1,W4,D3,L1,V0,M1}  { rr( i2003_11_14_17_19_13721, skol2( 
% 0.91/1.28    i2003_11_14_17_19_13721 ) ) }.
% 0.91/1.28  substitution0:
% 0.91/1.28  end
% 0.91/1.28  permutation0:
% 0.91/1.28     0 ==> 0
% 0.91/1.28  end
% 0.91/1.28  
% 0.91/1.28  resolution: (4338) {G1,W4,D3,L1,V0,M1}  { rinvR( skol2( 
% 0.91/1.28    i2003_11_14_17_19_13721 ), i2003_11_14_17_19_13721 ) }.
% 0.91/1.28  parent0[0]: (45) {G0,W6,D2,L2,V2,M2} I { ! rr( Y, X ), rinvR( X, Y ) }.
% 0.91/1.28  parent1[0]: (122) {G2,W4,D3,L1,V0,M1} R(27,53) { rr( 
% 0.91/1.28    i2003_11_14_17_19_13721, skol2( i2003_11_14_17_19_13721 ) ) }.
% 0.91/1.28  substitution0:
% 0.91/1.28     X := skol2( i2003_11_14_17_19_13721 )
% 0.91/1.28     Y := i2003_11_14_17_19_13721
% 0.91/1.28  end
% 0.91/1.28  substitution1:
% 0.91/1.28  end
% 0.91/1.28  
% 0.91/1.28  subsumption: (125) {G3,W4,D3,L1,V0,M1} R(122,45) { rinvR( skol2( 
% 0.91/1.28    i2003_11_14_17_19_13721 ), i2003_11_14_17_19_13721 ) }.
% 0.91/1.28  parent0: (4338) {G1,W4,D3,L1,V0,M1}  { rinvR( skol2( 
% 0.91/1.28    i2003_11_14_17_19_13721 ), i2003_11_14_17_19_13721 ) }.
% 0.91/1.28  substitution0:
% 0.91/1.28  end
% 0.91/1.28  permutation0:
% 0.91/1.28     0 ==> 0
% 0.91/1.28  end
% 0.91/1.28  
% 0.91/1.28  resolution: (4339) {G1,W6,D3,L2,V1,M2}  { rs( X, skol1( X ) ), ! 
% 0.91/1.28    cUnsatisfiable( X ) }.
% 0.91/1.28  parent0[0]: (21) {G0,W6,D3,L2,V1,M2} I { ! alpha2( X ), rs( X, skol1( X ) )
% 0.91/1.28     }.
% 0.91/1.28  parent1[1]: (18) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha2( X )
% 0.91/1.28     }.
% 0.91/1.28  substitution0:
% 0.91/1.28     X := X
% 0.91/1.28  end
% 0.91/1.28  substitution1:
% 0.91/1.28     X := X
% 0.91/1.28  end
% 0.91/1.28  
% 0.91/1.28  subsumption: (147) {G1,W6,D3,L2,V1,M2} R(21,18) { rs( X, skol1( X ) ), ! 
% 0.91/1.28    cUnsatisfiable( X ) }.
% 0.91/1.28  parent0: (4339) {G1,W6,D3,L2,V1,M2}  { rs( X, skol1( X ) ), ! 
% 0.91/1.28    cUnsatisfiable( X ) }.
% 0.91/1.28  substitution0:
% 0.91/1.28     X := X
% 0.91/1.28  end
% 0.91/1.28  permutation0:
% 0.91/1.28     0 ==> 0
% 0.91/1.28     1 ==> 1
% 0.91/1.28  end
% 0.91/1.28  
% 0.91/1.28  resolution: (4340) {G1,W7,D3,L3,V1,M3}  { ! alpha7( X ), cp( skol1( X ) ), 
% 0.91/1.28    ! cUnsatisfiable( X ) }.
% 0.91/1.28  parent0[1]: (41) {G0,W7,D2,L3,V2,M3} I { ! alphaCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------