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Bliksem---1.12.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : KRS128+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n019.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 02:42:22 EDT 2022

% Result   : Unsatisfiable 0.71s 1.11s
% Output   : Refutation 0.71s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : KRS128+1 : TPTP v8.1.0. Released v3.1.0.
% 0.12/0.14  % Command  : bliksem %s
% 0.13/0.35  % Computer : n019.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % DateTime : Tue Jun  7 13:34:40 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.71/1.11  *** allocated 10000 integers for termspace/termends
% 0.71/1.11  *** allocated 10000 integers for clauses
% 0.71/1.11  *** allocated 10000 integers for justifications
% 0.71/1.11  Bliksem 1.12
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  Automatic Strategy Selection
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  Clauses:
% 0.71/1.11  
% 0.71/1.11  { cowlThing( X ) }.
% 0.71/1.11  { ! cowlNothing( X ) }.
% 0.71/1.11  { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.71/1.11  { xsd_integer( X ), xsd_string( X ) }.
% 0.71/1.11  { ! cUnsatisfiable( X ), alpha1( X ) }.
% 0.71/1.11  { ! cUnsatisfiable( X ), alpha2( X ) }.
% 0.71/1.11  { ! alpha1( X ), ! alpha2( X ), cUnsatisfiable( X ) }.
% 0.71/1.11  { ! alpha2( X ), alpha3( X ) }.
% 0.71/1.11  { ! alpha2( X ), alpha4( X ) }.
% 0.71/1.11  { ! alpha3( X ), ! alpha4( X ), alpha2( X ) }.
% 0.71/1.11  { ! alpha4( X ), ! rr( X, Y ), ca_Cx4( Y ) }.
% 0.71/1.11  { ! ca_Cx4( skol1( Y ) ), alpha4( X ) }.
% 0.71/1.11  { rr( X, skol1( X ) ), alpha4( X ) }.
% 0.71/1.11  { ! alpha3( X ), ! rr( X, Y ), cd( Y ) }.
% 0.71/1.11  { ! cd( skol2( Y ) ), alpha3( X ) }.
% 0.71/1.11  { rr( X, skol2( X ) ), alpha3( X ) }.
% 0.71/1.11  { ! alpha1( X ), cexcomp( skol3( Y ) ) }.
% 0.71/1.11  { ! alpha1( X ), rr( X, skol3( X ) ) }.
% 0.71/1.11  { ! rr( X, Y ), ! cexcomp( Y ), alpha1( X ) }.
% 0.71/1.11  { ! cc( X ), cdxcomp( X ) }.
% 0.71/1.11  { ! cd( X ), ra_Px2( X, skol4( X ) ) }.
% 0.71/1.11  { ! ra_Px2( X, Y ), cd( X ) }.
% 0.71/1.11  { ! cdxcomp( X ), ! ra_Px2( X, Y ) }.
% 0.71/1.11  { ra_Px2( X, skol5( X ) ), cdxcomp( X ) }.
% 0.71/1.11  { ! ce( X ), ! ra_Px1( X, Y ) }.
% 0.71/1.11  { ra_Px1( X, skol6( X ) ), ce( X ) }.
% 0.71/1.11  { ! cexcomp( X ), ra_Px1( X, skol7( X ) ) }.
% 0.71/1.11  { ! ra_Px1( X, Y ), cexcomp( X ) }.
% 0.71/1.11  { ! ca_Cx4( X ), ra_Px4( X, skol8( X ) ) }.
% 0.71/1.11  { ! ra_Px4( X, Y ), ca_Cx4( X ) }.
% 0.71/1.11  { ! ca_Cx4xcomp( X ), ! ra_Px4( X, Y ) }.
% 0.71/1.11  { ra_Px4( X, skol9( X ) ), ca_Cx4xcomp( X ) }.
% 0.71/1.11  { ! ca_Cx4xcomp( X ), cd( X ) }.
% 0.71/1.11  { ! ca_Cx4xcomp( X ), cexcomp( X ) }.
% 0.71/1.11  { ! cd( X ), ! cexcomp( X ), ca_Cx4xcomp( X ) }.
% 0.71/1.11  { cUnsatisfiable( i2003_11_14_17_22_31584 ) }.
% 0.71/1.11  
% 0.71/1.11  percentage equality = 0.000000, percentage horn = 0.833333
% 0.71/1.11  This a non-horn, non-equality problem
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  Options Used:
% 0.71/1.11  
% 0.71/1.11  useres =            1
% 0.71/1.11  useparamod =        0
% 0.71/1.11  useeqrefl =         0
% 0.71/1.11  useeqfact =         0
% 0.71/1.11  usefactor =         1
% 0.71/1.11  usesimpsplitting =  0
% 0.71/1.11  usesimpdemod =      0
% 0.71/1.11  usesimpres =        3
% 0.71/1.11  
% 0.71/1.11  resimpinuse      =  1000
% 0.71/1.11  resimpclauses =     20000
% 0.71/1.11  substype =          standard
% 0.71/1.11  backwardsubs =      1
% 0.71/1.11  selectoldest =      5
% 0.71/1.11  
% 0.71/1.11  litorderings [0] =  split
% 0.71/1.11  litorderings [1] =  liftord
% 0.71/1.11  
% 0.71/1.11  termordering =      none
% 0.71/1.11  
% 0.71/1.11  litapriori =        1
% 0.71/1.11  termapriori =       0
% 0.71/1.11  litaposteriori =    0
% 0.71/1.11  termaposteriori =   0
% 0.71/1.11  demodaposteriori =  0
% 0.71/1.11  ordereqreflfact =   0
% 0.71/1.11  
% 0.71/1.11  litselect =         none
% 0.71/1.11  
% 0.71/1.11  maxweight =         15
% 0.71/1.11  maxdepth =          30000
% 0.71/1.11  maxlength =         115
% 0.71/1.11  maxnrvars =         195
% 0.71/1.11  excuselevel =       1
% 0.71/1.11  increasemaxweight = 1
% 0.71/1.11  
% 0.71/1.11  maxselected =       10000000
% 0.71/1.11  maxnrclauses =      10000000
% 0.71/1.11  
% 0.71/1.11  showgenerated =    0
% 0.71/1.11  showkept =         0
% 0.71/1.11  showselected =     0
% 0.71/1.11  showdeleted =      0
% 0.71/1.11  showresimp =       1
% 0.71/1.11  showstatus =       2000
% 0.71/1.11  
% 0.71/1.11  prologoutput =     0
% 0.71/1.11  nrgoals =          5000000
% 0.71/1.11  totalproof =       1
% 0.71/1.11  
% 0.71/1.11  Symbols occurring in the translation:
% 0.71/1.11  
% 0.71/1.11  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.71/1.11  .  [1, 2]      (w:1, o:40, a:1, s:1, b:0), 
% 0.71/1.11  !  [4, 1]      (w:0, o:10, a:1, s:1, b:0), 
% 0.71/1.11  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.71/1.11  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.71/1.11  cowlThing  [36, 1]      (w:1, o:15, a:1, s:1, b:0), 
% 0.71/1.11  cowlNothing  [37, 1]      (w:1, o:16, a:1, s:1, b:0), 
% 0.71/1.11  xsd_string  [38, 1]      (w:1, o:17, a:1, s:1, b:0), 
% 0.71/1.11  xsd_integer  [39, 1]      (w:1, o:18, a:1, s:1, b:0), 
% 0.71/1.11  cUnsatisfiable  [40, 1]      (w:1, o:19, a:1, s:1, b:0), 
% 0.71/1.11  rr  [42, 2]      (w:1, o:64, a:1, s:1, b:0), 
% 0.71/1.11  cexcomp  [43, 1]      (w:1, o:23, a:1, s:1, b:0), 
% 0.71/1.11  cd  [44, 1]      (w:1, o:21, a:1, s:1, b:0), 
% 0.71/1.11  ca_Cx4  [45, 1]      (w:1, o:24, a:1, s:1, b:0), 
% 0.71/1.11  cc  [46, 1]      (w:1, o:20, a:1, s:1, b:0), 
% 0.71/1.11  cdxcomp  [47, 1]      (w:1, o:22, a:1, s:1, b:0), 
% 0.71/1.11  ra_Px2  [49, 2]      (w:1, o:66, a:1, s:1, b:0), 
% 0.71/1.11  ce  [50, 1]      (w:1, o:25, a:1, s:1, b:0), 
% 0.71/1.11  ra_Px1  [51, 2]      (w:1, o:65, a:1, s:1, b:0), 
% 0.71/1.11  ra_Px4  [52, 2]      (w:1, o:67, a:1, s:1, b:0), 
% 0.71/1.11  ca_Cx4xcomp  [53, 1]      (w:1, o:26, a:1, s:1, b:0), 
% 0.71/1.11  i2003_11_14_17_22_31584  [54, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.71/1.11  alpha1  [55, 1]      (w:1, o:27, a:1, s:1, b:0), 
% 0.71/1.11  alpha2  [56, 1]      (w:1, o:28, a:1, s:1, b:0), 
% 0.71/1.11  alpha3  [57, 1]      (w:1, o:29, a:1, s:1, b:0), 
% 0.71/1.11  alpha4  [58, 1]      (w:1, o:30, a:1, s:1, b:0), 
% 0.71/1.11  skol1  [59, 1]      (w:1, o:31, a:1, s:1, b:0), 
% 0.71/1.11  skol2  [60, 1]      (w:1, o:32, a:1, s:1, b:0), 
% 0.71/1.11  skol3  [61, 1]      (w:1, o:33, a:1, s:1, b:0), 
% 0.71/1.11  skol4  [62, 1]      (w:1, o:34, a:1, s:1, b:0), 
% 0.71/1.11  skol5  [63, 1]      (w:1, o:35, a:1, s:1, b:0), 
% 0.71/1.11  skol6  [64, 1]      (w:1, o:36, a:1, s:1, b:0), 
% 0.71/1.11  skol7  [65, 1]      (w:1, o:37, a:1, s:1, b:0), 
% 0.71/1.11  skol8  [66, 1]      (w:1, o:38, a:1, s:1, b:0), 
% 0.71/1.11  skol9  [67, 1]      (w:1, o:39, a:1, s:1, b:0).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  Starting Search:
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  Bliksems!, er is een bewijs:
% 0.71/1.11  % SZS status Unsatisfiable
% 0.71/1.11  % SZS output start Refutation
% 0.71/1.11  
% 0.71/1.11  (4) {G0,W4,D2,L2,V1,M1} I { ! cUnsatisfiable( X ), alpha1( X ) }.
% 0.71/1.11  (5) {G0,W4,D2,L2,V1,M1} I { ! cUnsatisfiable( X ), alpha2( X ) }.
% 0.71/1.11  (7) {G0,W4,D2,L2,V1,M1} I { ! alpha2( X ), alpha3( X ) }.
% 0.71/1.11  (8) {G0,W4,D2,L2,V1,M1} I { ! alpha2( X ), alpha4( X ) }.
% 0.71/1.11  (10) {G0,W7,D2,L3,V2,M1} I { ! alpha4( X ), ca_Cx4( Y ), ! rr( X, Y ) }.
% 0.71/1.11  (13) {G0,W7,D2,L3,V2,M1} I { ! alpha3( X ), cd( Y ), ! rr( X, Y ) }.
% 0.71/1.11  (16) {G0,W5,D3,L2,V2,M1} I { cexcomp( skol3( Y ) ), ! alpha1( X ) }.
% 0.71/1.11  (17) {G0,W6,D3,L2,V1,M1} I { ! alpha1( X ), rr( X, skol3( X ) ) }.
% 0.71/1.11  (28) {G0,W6,D3,L2,V1,M1} I { ! ca_Cx4( X ), ra_Px4( X, skol8( X ) ) }.
% 0.71/1.11  (30) {G0,W5,D2,L2,V2,M1} I { ! ca_Cx4xcomp( X ), ! ra_Px4( X, Y ) }.
% 0.71/1.11  (34) {G0,W6,D2,L3,V1,M1} I { ! cd( X ), ! cexcomp( X ), ca_Cx4xcomp( X )
% 0.71/1.11     }.
% 0.71/1.11  (35) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( i2003_11_14_17_22_31584 ) }.
% 0.71/1.11  (36) {G1,W5,D3,L2,V2,M1} R(16,4) { ! cUnsatisfiable( Y ), cexcomp( skol3( X
% 0.71/1.11     ) ) }.
% 0.71/1.11  (41) {G1,W4,D2,L2,V1,M1} R(28,30) { ! ca_Cx4( X ), ! ca_Cx4xcomp( X ) }.
% 0.71/1.11  (42) {G2,W6,D2,L3,V1,M1} R(41,34) { ! cd( X ), ! cexcomp( X ), ! ca_Cx4( X
% 0.71/1.11     ) }.
% 0.71/1.11  (50) {G1,W7,D3,L3,V1,M1} R(17,13) { ! alpha1( X ), cd( skol3( X ) ), ! 
% 0.71/1.11    alpha3( X ) }.
% 0.71/1.11  (51) {G1,W7,D3,L3,V1,M1} R(17,10) { ! alpha1( X ), ca_Cx4( skol3( X ) ), ! 
% 0.71/1.11    alpha4( X ) }.
% 0.71/1.11  (61) {G2,W7,D3,L3,V1,M1} R(50,7) { cd( skol3( X ) ), ! alpha1( X ), ! 
% 0.71/1.11    alpha2( X ) }.
% 0.71/1.11  (62) {G3,W5,D3,L2,V1,M1} R(61,5);r(4) { ! cUnsatisfiable( X ), cd( skol3( X
% 0.71/1.11     ) ) }.
% 0.71/1.11  (68) {G2,W7,D3,L3,V1,M1} R(51,8) { ca_Cx4( skol3( X ) ), ! alpha1( X ), ! 
% 0.71/1.11    alpha2( X ) }.
% 0.71/1.11  (69) {G3,W5,D3,L2,V1,M1} R(68,5);r(4) { ! cUnsatisfiable( X ), ca_Cx4( 
% 0.71/1.11    skol3( X ) ) }.
% 0.71/1.11  (70) {G4,W5,D3,L2,V1,M1} R(69,42);r(62) { ! cUnsatisfiable( X ), ! cexcomp
% 0.71/1.11    ( skol3( X ) ) }.
% 0.71/1.11  (72) {G5,W4,D2,L2,V2,M2} R(70,36) { ! cUnsatisfiable( Y ), ! cUnsatisfiable
% 0.71/1.11    ( X ) }.
% 0.71/1.11  (73) {G6,W2,D2,L1,V1,M1} F(72) { ! cUnsatisfiable( X ) }.
% 0.71/1.11  (74) {G7,W0,D0,L0,V0,M0} R(73,35) {  }.
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  % SZS output end Refutation
% 0.71/1.11  found a proof!
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  Unprocessed initial clauses:
% 0.71/1.11  
% 0.71/1.11  (76) {G0,W2,D2,L1,V1,M1}  { cowlThing( X ) }.
% 0.71/1.11  (77) {G0,W2,D2,L1,V1,M1}  { ! cowlNothing( X ) }.
% 0.71/1.11  (78) {G0,W4,D2,L2,V1,M2}  { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.71/1.11  (79) {G0,W4,D2,L2,V1,M2}  { xsd_integer( X ), xsd_string( X ) }.
% 0.71/1.11  (80) {G0,W4,D2,L2,V1,M2}  { ! cUnsatisfiable( X ), alpha1( X ) }.
% 0.71/1.11  (81) {G0,W4,D2,L2,V1,M2}  { ! cUnsatisfiable( X ), alpha2( X ) }.
% 0.71/1.11  (82) {G0,W6,D2,L3,V1,M3}  { ! alpha1( X ), ! alpha2( X ), cUnsatisfiable( X
% 0.71/1.11     ) }.
% 0.71/1.11  (83) {G0,W4,D2,L2,V1,M2}  { ! alpha2( X ), alpha3( X ) }.
% 0.71/1.11  (84) {G0,W4,D2,L2,V1,M2}  { ! alpha2( X ), alpha4( X ) }.
% 0.71/1.11  (85) {G0,W6,D2,L3,V1,M3}  { ! alpha3( X ), ! alpha4( X ), alpha2( X ) }.
% 0.71/1.11  (86) {G0,W7,D2,L3,V2,M3}  { ! alpha4( X ), ! rr( X, Y ), ca_Cx4( Y ) }.
% 0.71/1.11  (87) {G0,W5,D3,L2,V2,M2}  { ! ca_Cx4( skol1( Y ) ), alpha4( X ) }.
% 0.71/1.11  (88) {G0,W6,D3,L2,V1,M2}  { rr( X, skol1( X ) ), alpha4( X ) }.
% 0.71/1.11  (89) {G0,W7,D2,L3,V2,M3}  { ! alpha3( X ), ! rr( X, Y ), cd( Y ) }.
% 0.71/1.11  (90) {G0,W5,D3,L2,V2,M2}  { ! cd( skol2( Y ) ), alpha3( X ) }.
% 0.71/1.11  (91) {G0,W6,D3,L2,V1,M2}  { rr( X, skol2( X ) ), alpha3( X ) }.
% 0.71/1.11  (92) {G0,W5,D3,L2,V2,M2}  { ! alpha1( X ), cexcomp( skol3( Y ) ) }.
% 0.71/1.11  (93) {G0,W6,D3,L2,V1,M2}  { ! alpha1( X ), rr( X, skol3( X ) ) }.
% 0.71/1.11  (94) {G0,W7,D2,L3,V2,M3}  { ! rr( X, Y ), ! cexcomp( Y ), alpha1( X ) }.
% 0.71/1.11  (95) {G0,W4,D2,L2,V1,M2}  { ! cc( X ), cdxcomp( X ) }.
% 0.71/1.11  (96) {G0,W6,D3,L2,V1,M2}  { ! cd( X ), ra_Px2( X, skol4( X ) ) }.
% 0.71/1.11  (97) {G0,W5,D2,L2,V2,M2}  { ! ra_Px2( X, Y ), cd( X ) }.
% 0.71/1.11  (98) {G0,W5,D2,L2,V2,M2}  { ! cdxcomp( X ), ! ra_Px2( X, Y ) }.
% 0.71/1.11  (99) {G0,W6,D3,L2,V1,M2}  { ra_Px2( X, skol5( X ) ), cdxcomp( X ) }.
% 0.71/1.11  (100) {G0,W5,D2,L2,V2,M2}  { ! ce( X ), ! ra_Px1( X, Y ) }.
% 0.71/1.11  (101) {G0,W6,D3,L2,V1,M2}  { ra_Px1( X, skol6( X ) ), ce( X ) }.
% 0.71/1.11  (102) {G0,W6,D3,L2,V1,M2}  { ! cexcomp( X ), ra_Px1( X, skol7( X ) ) }.
% 0.71/1.11  (103) {G0,W5,D2,L2,V2,M2}  { ! ra_Px1( X, Y ), cexcomp( X ) }.
% 0.71/1.11  (104) {G0,W6,D3,L2,V1,M2}  { ! ca_Cx4( X ), ra_Px4( X, skol8( X ) ) }.
% 0.71/1.11  (105) {G0,W5,D2,L2,V2,M2}  { ! ra_Px4( X, Y ), ca_Cx4( X ) }.
% 0.71/1.11  (106) {G0,W5,D2,L2,V2,M2}  { ! ca_Cx4xcomp( X ), ! ra_Px4( X, Y ) }.
% 0.71/1.11  (107) {G0,W6,D3,L2,V1,M2}  { ra_Px4( X, skol9( X ) ), ca_Cx4xcomp( X ) }.
% 0.71/1.11  (108) {G0,W4,D2,L2,V1,M2}  { ! ca_Cx4xcomp( X ), cd( X ) }.
% 0.71/1.11  (109) {G0,W4,D2,L2,V1,M2}  { ! ca_Cx4xcomp( X ), cexcomp( X ) }.
% 0.71/1.11  (110) {G0,W6,D2,L3,V1,M3}  { ! cd( X ), ! cexcomp( X ), ca_Cx4xcomp( X )
% 0.71/1.11     }.
% 0.71/1.11  (111) {G0,W2,D2,L1,V0,M1}  { cUnsatisfiable( i2003_11_14_17_22_31584 ) }.
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  Total Proof:
% 0.71/1.11  
% 0.71/1.11  subsumption: (4) {G0,W4,D2,L2,V1,M1} I { ! cUnsatisfiable( X ), alpha1( X )
% 0.71/1.11     }.
% 0.71/1.11  parent0: (80) {G0,W4,D2,L2,V1,M2}  { ! cUnsatisfiable( X ), alpha1( X ) }.
% 0.71/1.11  substitution0:
% 0.71/1.11     X := X
% 0.71/1.11  end
% 0.71/1.11  permutation0:
% 0.71/1.11     0 ==> 0
% 0.71/1.11     1 ==> 1
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  subsumption: (5) {G0,W4,D2,L2,V1,M1} I { ! cUnsatisfiable( X ), alpha2( X )
% 0.71/1.11     }.
% 0.71/1.11  parent0: (81) {G0,W4,D2,L2,V1,M2}  { ! cUnsatisfiable( X ), alpha2( X ) }.
% 0.71/1.11  substitution0:
% 0.71/1.11     X := X
% 0.71/1.11  end
% 0.71/1.11  permutation0:
% 0.71/1.11     0 ==> 0
% 0.71/1.11     1 ==> 1
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  subsumption: (7) {G0,W4,D2,L2,V1,M1} I { ! alpha2( X ), alpha3( X ) }.
% 0.71/1.11  parent0: (83) {G0,W4,D2,L2,V1,M2}  { ! alpha2( X ), alpha3( X ) }.
% 0.71/1.11  substitution0:
% 0.71/1.11     X := X
% 0.71/1.11  end
% 0.71/1.11  permutation0:
% 0.71/1.11     0 ==> 0
% 0.71/1.11     1 ==> 1
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  subsumption: (8) {G0,W4,D2,L2,V1,M1} I { ! alpha2( X ), alpha4( X ) }.
% 0.71/1.11  parent0: (84) {G0,W4,D2,L2,V1,M2}  { ! alpha2( X ), alpha4( X ) }.
% 0.71/1.11  substitution0:
% 0.71/1.11     X := X
% 0.71/1.11  end
% 0.71/1.11  permutation0:
% 0.71/1.11     0 ==> 0
% 0.71/1.11     1 ==> 1
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  subsumption: (10) {G0,W7,D2,L3,V2,M1} I { ! alpha4( X ), ca_Cx4( Y ), ! rr
% 0.71/1.11    ( X, Y ) }.
% 0.71/1.11  parent0: (86) {G0,W7,D2,L3,V2,M3}  { ! alpha4( X ), ! rr( X, Y ), ca_Cx4( Y
% 0.71/1.11     ) }.
% 0.71/1.11  substitution0:
% 0.71/1.11     X := X
% 0.71/1.11     Y := Y
% 0.71/1.11  end
% 0.71/1.11  permutation0:
% 0.71/1.11     0 ==> 0
% 0.71/1.11     1 ==> 2
% 0.71/1.11     2 ==> 1
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  subsumption: (13) {G0,W7,D2,L3,V2,M1} I { ! alpha3( X ), cd( Y ), ! rr( X, 
% 0.71/1.11    Y ) }.
% 0.71/1.11  parent0: (89) {G0,W7,D2,L3,V2,M3}  { ! alpha3( X ), ! rr( X, Y ), cd( Y )
% 0.71/1.11     }.
% 0.71/1.11  substitution0:
% 0.71/1.11     X := X
% 0.71/1.11     Y := Y
% 0.71/1.11  end
% 0.71/1.11  permutation0:
% 0.71/1.11     0 ==> 0
% 0.71/1.11     1 ==> 2
% 0.71/1.11     2 ==> 1
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  subsumption: (16) {G0,W5,D3,L2,V2,M1} I { cexcomp( skol3( Y ) ), ! alpha1( 
% 0.71/1.11    X ) }.
% 0.71/1.11  parent0: (92) {G0,W5,D3,L2,V2,M2}  { ! alpha1( X ), cexcomp( skol3( Y ) )
% 0.71/1.11     }.
% 0.71/1.11  substitution0:
% 0.71/1.11     X := X
% 0.71/1.11     Y := Y
% 0.71/1.11  end
% 0.71/1.11  permutation0:
% 0.71/1.11     0 ==> 1
% 0.71/1.11     1 ==> 0
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  subsumption: (17) {G0,W6,D3,L2,V1,M1} I { ! alpha1( X ), rr( X, skol3( X )
% 0.71/1.11     ) }.
% 0.71/1.11  parent0: (93) {G0,W6,D3,L2,V1,M2}  { ! alpha1( X ), rr( X, skol3( X ) ) }.
% 0.71/1.11  substitution0:
% 0.71/1.11     X := X
% 0.71/1.11  end
% 0.71/1.11  permutation0:
% 0.71/1.11     0 ==> 0
% 0.71/1.11     1 ==> 1
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  subsumption: (28) {G0,W6,D3,L2,V1,M1} I { ! ca_Cx4( X ), ra_Px4( X, skol8( 
% 0.71/1.11    X ) ) }.
% 0.71/1.11  parent0: (104) {G0,W6,D3,L2,V1,M2}  { ! ca_Cx4( X ), ra_Px4( X, skol8( X )
% 0.71/1.11     ) }.
% 0.71/1.11  substitution0:
% 0.71/1.11     X := X
% 0.71/1.11  end
% 0.71/1.11  permutation0:
% 0.71/1.11     0 ==> 0
% 0.71/1.11     1 ==> 1
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  subsumption: (30) {G0,W5,D2,L2,V2,M1} I { ! ca_Cx4xcomp( X ), ! ra_Px4( X, 
% 0.71/1.11    Y ) }.
% 0.71/1.11  parent0: (106) {G0,W5,D2,L2,V2,M2}  { ! ca_Cx4xcomp( X ), ! ra_Px4( X, Y )
% 0.71/1.11     }.
% 0.71/1.11  substitution0:
% 0.71/1.11     X := X
% 0.71/1.11     Y := Y
% 0.71/1.11  end
% 0.71/1.11  permutation0:
% 0.71/1.11     0 ==> 0
% 0.71/1.11     1 ==> 1
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  subsumption: (34) {G0,W6,D2,L3,V1,M1} I { ! cd( X ), ! cexcomp( X ), 
% 0.71/1.11    ca_Cx4xcomp( X ) }.
% 0.71/1.11  parent0: (110) {G0,W6,D2,L3,V1,M3}  { ! cd( X ), ! cexcomp( X ), 
% 0.71/1.11    ca_Cx4xcomp( X ) }.
% 0.71/1.11  substitution0:
% 0.71/1.11     X := X
% 0.71/1.11  end
% 0.71/1.11  permutation0:
% 0.71/1.11     0 ==> 0
% 0.71/1.11     1 ==> 1
% 0.71/1.11     2 ==> 2
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  subsumption: (35) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( 
% 0.71/1.11    i2003_11_14_17_22_31584 ) }.
% 0.71/1.11  parent0: (111) {G0,W2,D2,L1,V0,M1}  { cUnsatisfiable( 
% 0.71/1.11    i2003_11_14_17_22_31584 ) }.
% 0.71/1.11  substitution0:
% 0.71/1.11  end
% 0.71/1.11  permutation0:
% 0.71/1.11     0 ==> 0
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  resolution: (112) {G1,W5,D3,L2,V2,M2}  { cexcomp( skol3( X ) ), ! 
% 0.71/1.11    cUnsatisfiable( Y ) }.
% 0.71/1.11  parent0[1]: (16) {G0,W5,D3,L2,V2,M1} I { cexcomp( skol3( Y ) ), ! alpha1( X
% 0.71/1.11     ) }.
% 0.71/1.11  parent1[1]: (4) {G0,W4,D2,L2,V1,M1} I { ! cUnsatisfiable( X ), alpha1( X )
% 0.71/1.11     }.
% 0.71/1.11  substitution0:
% 0.71/1.11     X := Y
% 0.71/1.11     Y := X
% 0.71/1.11  end
% 0.71/1.11  substitution1:
% 0.71/1.11     X := Y
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  subsumption: (36) {G1,W5,D3,L2,V2,M1} R(16,4) { ! cUnsatisfiable( Y ), 
% 0.71/1.11    cexcomp( skol3( X ) ) }.
% 0.71/1.11  parent0: (112) {G1,W5,D3,L2,V2,M2}  { cexcomp( skol3( X ) ), ! 
% 0.71/1.11    cUnsatisfiable( Y ) }.
% 0.71/1.11  substitution0:
% 0.71/1.11     X := X
% 0.71/1.11     Y := Y
% 0.71/1.11  end
% 0.71/1.11  permutation0:
% 0.71/1.11     0 ==> 1
% 0.71/1.11     1 ==> 0
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  resolution: (113) {G1,W4,D2,L2,V1,M2}  { ! ca_Cx4xcomp( X ), ! ca_Cx4( X )
% 0.71/1.11     }.
% 0.71/1.11  parent0[1]: (30) {G0,W5,D2,L2,V2,M1} I { ! ca_Cx4xcomp( X ), ! ra_Px4( X, Y
% 0.71/1.11     ) }.
% 0.71/1.11  parent1[1]: (28) {G0,W6,D3,L2,V1,M1} I { ! ca_Cx4( X ), ra_Px4( X, skol8( X
% 0.71/1.11     ) ) }.
% 0.71/1.11  substitution0:
% 0.71/1.11     X := X
% 0.71/1.11     Y := skol8( X )
% 0.71/1.11  end
% 0.71/1.11  substitution1:
% 0.71/1.11     X := X
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  subsumption: (41) {G1,W4,D2,L2,V1,M1} R(28,30) { ! ca_Cx4( X ), ! 
% 0.71/1.11    ca_Cx4xcomp( X ) }.
% 0.71/1.11  parent0: (113) {G1,W4,D2,L2,V1,M2}  { ! ca_Cx4xcomp( X ), ! ca_Cx4( X ) }.
% 0.71/1.11  substitution0:
% 0.71/1.11     X := X
% 0.71/1.11  end
% 0.71/1.11  permutation0:
% 0.71/1.11     0 ==> 1
% 0.71/1.11     1 ==> 0
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  resolution: (114) {G1,W6,D2,L3,V1,M3}  { ! ca_Cx4( X ), ! cd( X ), ! 
% 0.71/1.11    cexcomp( X ) }.
% 0.71/1.11  parent0[1]: (41) {G1,W4,D2,L2,V1,M1} R(28,30) { ! ca_Cx4( X ), ! 
% 0.71/1.11    ca_Cx4xcomp( X ) }.
% 0.71/1.11  parent1[2]: (34) {G0,W6,D2,L3,V1,M1} I { ! cd( X ), ! cexcomp( X ), 
% 0.71/1.11    ca_Cx4xcomp( X ) }.
% 0.71/1.11  substitution0:
% 0.71/1.11     X := X
% 0.71/1.11  end
% 0.71/1.11  substitution1:
% 0.71/1.11     X := X
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  subsumption: (42) {G2,W6,D2,L3,V1,M1} R(41,34) { ! cd( X ), ! cexcomp( X )
% 0.71/1.11    , ! ca_Cx4( X ) }.
% 0.71/1.11  parent0: (114) {G1,W6,D2,L3,V1,M3}  { ! ca_Cx4( X ), ! cd( X ), ! cexcomp( 
% 0.71/1.11    X ) }.
% 0.71/1.11  substitution0:
% 0.71/1.11     X := X
% 0.71/1.11  end
% 0.71/1.11  permutation0:
% 0.71/1.11     0 ==> 2
% 0.71/1.11     1 ==> 0
% 0.71/1.11     2 ==> 1
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  resolution: (115) {G1,W7,D3,L3,V1,M3}  { ! alpha3( X ), cd( skol3( X ) ), !
% 0.71/1.11     alpha1( X ) }.
% 0.71/1.11  parent0[2]: (13) {G0,W7,D2,L3,V2,M1} I { ! alpha3( X ), cd( Y ), ! rr( X, Y
% 0.71/1.11     ) }.
% 0.71/1.11  parent1[1]: (17) {G0,W6,D3,L2,V1,M1} I { ! alpha1( X ), rr( X, skol3( X ) )
% 0.71/1.11     }.
% 0.71/1.11  substitution0:
% 0.71/1.11     X := X
% 0.71/1.11     Y := skol3( X )
% 0.71/1.11  end
% 0.71/1.11  substitution1:
% 0.71/1.11     X := X
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  subsumption: (50) {G1,W7,D3,L3,V1,M1} R(17,13) { ! alpha1( X ), cd( skol3( 
% 0.71/1.11    X ) ), ! alpha3( X ) }.
% 0.71/1.11  parent0: (115) {G1,W7,D3,L3,V1,M3}  { ! alpha3( X ), cd( skol3( X ) ), ! 
% 0.71/1.11    alpha1( X ) }.
% 0.71/1.11  substitution0:
% 0.71/1.11     X := X
% 0.71/1.11  end
% 0.71/1.11  permutation0:
% 0.71/1.11     0 ==> 2
% 0.71/1.11     1 ==> 1
% 0.71/1.11     2 ==> 0
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  resolution: (116) {G1,W7,D3,L3,V1,M3}  { ! alpha4( X ), ca_Cx4( skol3( X )
% 0.71/1.11     ), ! alpha1( X ) }.
% 0.71/1.11  parent0[2]: (10) {G0,W7,D2,L3,V2,M1} I { ! alpha4( X ), ca_Cx4( Y ), ! rr( 
% 0.71/1.11    X, Y ) }.
% 0.71/1.11  parent1[1]: (17) {G0,W6,D3,L2,V1,M1} I { ! alpha1( X ), rr( X, skol3( X ) )
% 0.71/1.11     }.
% 0.71/1.11  substitution0:
% 0.71/1.11     X := X
% 0.71/1.11     Y := skol3( X )
% 0.71/1.11  end
% 0.71/1.11  substitution1:
% 0.71/1.11     X := X
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  subsumption: (51) {G1,W7,D3,L3,V1,M1} R(17,10) { ! alpha1( X ), ca_Cx4( 
% 0.71/1.11    skol3( X ) ), ! alpha4( X ) }.
% 0.71/1.11  parent0: (116) {G1,W7,D3,L3,V1,M3}  { ! alpha4( X ), ca_Cx4( skol3( X ) ), 
% 0.71/1.11    ! alpha1( X ) }.
% 0.71/1.11  substitution0:
% 0.71/1.11     X := X
% 0.71/1.11  end
% 0.71/1.11  permutation0:
% 0.71/1.11     0 ==> 2
% 0.71/1.11     1 ==> 1
% 0.71/1.11     2 ==> 0
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  resolution: (117) {G1,W7,D3,L3,V1,M3}  { ! alpha1( X ), cd( skol3( X ) ), !
% 0.71/1.11     alpha2( X ) }.
% 0.71/1.11  parent0[2]: (50) {G1,W7,D3,L3,V1,M1} R(17,13) { ! alpha1( X ), cd( skol3( X
% 0.71/1.11     ) ), ! alpha3( X ) }.
% 0.71/1.11  parent1[1]: (7) {G0,W4,D2,L2,V1,M1} I { ! alpha2( X ), alpha3( X ) }.
% 0.71/1.11  substitution0:
% 0.71/1.11     X := X
% 0.71/1.11  end
% 0.71/1.11  substitution1:
% 0.71/1.11     X := X
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  subsumption: (61) {G2,W7,D3,L3,V1,M1} R(50,7) { cd( skol3( X ) ), ! alpha1
% 0.71/1.11    ( X ), ! alpha2( X ) }.
% 0.71/1.11  parent0: (117) {G1,W7,D3,L3,V1,M3}  { ! alpha1( X ), cd( skol3( X ) ), ! 
% 0.71/1.11    alpha2( X ) }.
% 0.71/1.11  substitution0:
% 0.71/1.11     X := X
% 0.71/1.11  end
% 0.71/1.11  permutation0:
% 0.71/1.11     0 ==> 1
% 0.71/1.11     1 ==> 0
% 0.71/1.11     2 ==> 2
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  resolution: (118) {G1,W7,D3,L3,V1,M3}  { cd( skol3( X ) ), ! alpha1( X ), !
% 0.71/1.11     cUnsatisfiable( X ) }.
% 0.71/1.11  parent0[2]: (61) {G2,W7,D3,L3,V1,M1} R(50,7) { cd( skol3( X ) ), ! alpha1( 
% 0.71/1.11    X ), ! alpha2( X ) }.
% 0.71/1.11  parent1[1]: (5) {G0,W4,D2,L2,V1,M1} I { ! cUnsatisfiable( X ), alpha2( X )
% 0.71/1.11     }.
% 0.71/1.11  substitution0:
% 0.71/1.11     X := X
% 0.71/1.11  end
% 0.71/1.11  substitution1:
% 0.71/1.11     X := X
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  resolution: (119) {G1,W7,D3,L3,V1,M3}  { cd( skol3( X ) ), ! cUnsatisfiable
% 0.71/1.11    ( X ), ! cUnsatisfiable( X ) }.
% 0.71/1.11  parent0[1]: (118) {G1,W7,D3,L3,V1,M3}  { cd( skol3( X ) ), ! alpha1( X ), !
% 0.71/1.11     cUnsatisfiable( X ) }.
% 0.71/1.11  parent1[1]: (4) {G0,W4,D2,L2,V1,M1} I { ! cUnsatisfiable( X ), alpha1( X )
% 0.71/1.11     }.
% 0.71/1.11  substitution0:
% 0.71/1.11     X := X
% 0.71/1.11  end
% 0.71/1.11  substitution1:
% 0.71/1.11     X := X
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  factor: (120) {G1,W5,D3,L2,V1,M2}  { cd( skol3( X ) ), ! cUnsatisfiable( X
% 0.71/1.11     ) }.
% 0.71/1.11  parent0[1, 2]: (119) {G1,W7,D3,L3,V1,M3}  { cd( skol3( X ) ), ! 
% 0.71/1.11    cUnsatisfiable( X ), ! cUnsatisfiable( X ) }.
% 0.71/1.11  substitution0:
% 0.71/1.11     X := X
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  subsumption: (62) {G3,W5,D3,L2,V1,M1} R(61,5);r(4) { ! cUnsatisfiable( X )
% 0.71/1.11    , cd( skol3( X ) ) }.
% 0.71/1.11  parent0: (120) {G1,W5,D3,L2,V1,M2}  { cd( skol3( X ) ), ! cUnsatisfiable( X
% 0.71/1.11     ) }.
% 0.71/1.11  substitution0:
% 0.71/1.11     X := X
% 0.71/1.11  end
% 0.71/1.11  permutation0:
% 0.71/1.11     0 ==> 1
% 0.71/1.11     1 ==> 0
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  resolution: (121) {G1,W7,D3,L3,V1,M3}  { ! alpha1( X ), ca_Cx4( skol3( X )
% 0.71/1.11     ), ! alpha2( X ) }.
% 0.71/1.11  parent0[2]: (51) {G1,W7,D3,L3,V1,M1} R(17,10) { ! alpha1( X ), ca_Cx4( 
% 0.71/1.11    skol3( X ) ), ! alpha4( X ) }.
% 0.71/1.11  parent1[1]: (8) {G0,W4,D2,L2,V1,M1} I { ! alpha2( X ), alpha4( X ) }.
% 0.71/1.11  substitution0:
% 0.71/1.11     X := X
% 0.71/1.11  end
% 0.71/1.11  substitution1:
% 0.71/1.11     X := X
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  subsumption: (68) {G2,W7,D3,L3,V1,M1} R(51,8) { ca_Cx4( skol3( X ) ), ! 
% 0.71/1.11    alpha1( X ), ! alpha2( X ) }.
% 0.71/1.11  parent0: (121) {G1,W7,D3,L3,V1,M3}  { ! alpha1( X ), ca_Cx4( skol3( X ) ), 
% 0.71/1.11    ! alpha2( X ) }.
% 0.71/1.11  substitution0:
% 0.71/1.11     X := X
% 0.71/1.11  end
% 0.71/1.11  permutation0:
% 0.71/1.11     0 ==> 1
% 0.71/1.11     1 ==> 0
% 0.71/1.11     2 ==> 2
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  resolution: (122) {G1,W7,D3,L3,V1,M3}  { ca_Cx4( skol3( X ) ), ! alpha1( X
% 0.71/1.11     ), ! cUnsatisfiable( X ) }.
% 0.71/1.11  parent0[2]: (68) {G2,W7,D3,L3,V1,M1} R(51,8) { ca_Cx4( skol3( X ) ), ! 
% 0.71/1.11    alpha1( X ), ! alpha2( X ) }.
% 0.71/1.11  parent1[1]: (5) {G0,W4,D2,L2,V1,M1} I { ! cUnsatisfiable( X ), alpha2( X )
% 0.71/1.11     }.
% 0.71/1.11  substitution0:
% 0.71/1.11     X := X
% 0.71/1.11  end
% 0.71/1.11  substitution1:
% 0.71/1.11     X := X
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  resolution: (123) {G1,W7,D3,L3,V1,M3}  { ca_Cx4( skol3( X ) ), ! 
% 0.71/1.11    cUnsatisfiable( X ), ! cUnsatisfiable( X ) }.
% 0.71/1.11  parent0[1]: (122) {G1,W7,D3,L3,V1,M3}  { ca_Cx4( skol3( X ) ), ! alpha1( X
% 0.71/1.11     ), ! cUnsatisfiable( X ) }.
% 0.71/1.11  parent1[1]: (4) {G0,W4,D2,L2,V1,M1} I { ! cUnsatisfiable( X ), alpha1( X )
% 0.71/1.11     }.
% 0.71/1.11  substitution0:
% 0.71/1.11     X := X
% 0.71/1.11  end
% 0.71/1.11  substitution1:
% 0.71/1.11     X := X
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  factor: (124) {G1,W5,D3,L2,V1,M2}  { ca_Cx4( skol3( X ) ), ! cUnsatisfiable
% 0.71/1.11    ( X ) }.
% 0.71/1.11  parent0[1, 2]: (123) {G1,W7,D3,L3,V1,M3}  { ca_Cx4( skol3( X ) ), ! 
% 0.71/1.11    cUnsatisfiable( X ), ! cUnsatisfiable( X ) }.
% 0.71/1.11  substitution0:
% 0.71/1.11     X := X
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  subsumption: (69) {G3,W5,D3,L2,V1,M1} R(68,5);r(4) { ! cUnsatisfiable( X )
% 0.71/1.11    , ca_Cx4( skol3( X ) ) }.
% 0.71/1.11  parent0: (124) {G1,W5,D3,L2,V1,M2}  { ca_Cx4( skol3( X ) ), ! 
% 0.71/1.11    cUnsatisfiable( X ) }.
% 0.71/1.11  substitution0:
% 0.71/1.11     X := X
% 0.71/1.11  end
% 0.71/1.11  permutation0:
% 0.71/1.11     0 ==> 1
% 0.71/1.11     1 ==> 0
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  resolution: (125) {G3,W8,D3,L3,V1,M3}  { ! cd( skol3( X ) ), ! cexcomp( 
% 0.71/1.11    skol3( X ) ), ! cUnsatisfiable( X ) }.
% 0.71/1.11  parent0[2]: (42) {G2,W6,D2,L3,V1,M1} R(41,34) { ! cd( X ), ! cexcomp( X ), 
% 0.71/1.11    ! ca_Cx4( X ) }.
% 0.71/1.11  parent1[1]: (69) {G3,W5,D3,L2,V1,M1} R(68,5);r(4) { ! cUnsatisfiable( X ), 
% 0.71/1.11    ca_Cx4( skol3( X ) ) }.
% 0.71/1.11  substitution0:
% 0.71/1.11     X := skol3( X )
% 0.71/1.11  end
% 0.71/1.11  substitution1:
% 0.71/1.11     X := X
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  resolution: (126) {G4,W7,D3,L3,V1,M3}  { ! cexcomp( skol3( X ) ), ! 
% 0.71/1.11    cUnsatisfiable( X ), ! cUnsatisfiable( X ) }.
% 0.71/1.11  parent0[0]: (125) {G3,W8,D3,L3,V1,M3}  { ! cd( skol3( X ) ), ! cexcomp( 
% 0.71/1.11    skol3( X ) ), ! cUnsatisfiable( X ) }.
% 0.71/1.11  parent1[1]: (62) {G3,W5,D3,L2,V1,M1} R(61,5);r(4) { ! cUnsatisfiable( X ), 
% 0.71/1.11    cd( skol3( X ) ) }.
% 0.71/1.11  substitution0:
% 0.71/1.11     X := X
% 0.71/1.11  end
% 0.71/1.11  substitution1:
% 0.71/1.11     X := X
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  factor: (127) {G4,W5,D3,L2,V1,M2}  { ! cexcomp( skol3( X ) ), ! 
% 0.71/1.11    cUnsatisfiable( X ) }.
% 0.71/1.11  parent0[1, 2]: (126) {G4,W7,D3,L3,V1,M3}  { ! cexcomp( skol3( X ) ), ! 
% 0.71/1.11    cUnsatisfiable( X ), ! cUnsatisfiable( X ) }.
% 0.71/1.11  substitution0:
% 0.71/1.11     X := X
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  subsumption: (70) {G4,W5,D3,L2,V1,M1} R(69,42);r(62) { ! cUnsatisfiable( X
% 0.71/1.11     ), ! cexcomp( skol3( X ) ) }.
% 0.71/1.11  parent0: (127) {G4,W5,D3,L2,V1,M2}  { ! cexcomp( skol3( X ) ), ! 
% 0.71/1.11    cUnsatisfiable( X ) }.
% 0.71/1.11  substitution0:
% 0.71/1.11     X := X
% 0.71/1.11  end
% 0.71/1.11  permutation0:
% 0.71/1.11     0 ==> 1
% 0.71/1.11     1 ==> 0
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  resolution: (128) {G2,W4,D2,L2,V2,M2}  { ! cUnsatisfiable( X ), ! 
% 0.71/1.11    cUnsatisfiable( Y ) }.
% 0.71/1.11  parent0[1]: (70) {G4,W5,D3,L2,V1,M1} R(69,42);r(62) { ! cUnsatisfiable( X )
% 0.71/1.11    , ! cexcomp( skol3( X ) ) }.
% 0.71/1.11  parent1[1]: (36) {G1,W5,D3,L2,V2,M1} R(16,4) { ! cUnsatisfiable( Y ), 
% 0.71/1.11    cexcomp( skol3( X ) ) }.
% 0.71/1.11  substitution0:
% 0.71/1.11     X := X
% 0.71/1.11  end
% 0.71/1.11  substitution1:
% 0.71/1.11     X := X
% 0.71/1.11     Y := Y
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  subsumption: (72) {G5,W4,D2,L2,V2,M2} R(70,36) { ! cUnsatisfiable( Y ), ! 
% 0.71/1.11    cUnsatisfiable( X ) }.
% 0.71/1.11  parent0: (128) {G2,W4,D2,L2,V2,M2}  { ! cUnsatisfiable( X ), ! 
% 0.71/1.11    cUnsatisfiable( Y ) }.
% 0.71/1.11  substitution0:
% 0.71/1.11     X := Y
% 0.71/1.11     Y := Y
% 0.71/1.11  end
% 0.71/1.11  permutation0:
% 0.71/1.11     0 ==> 0
% 0.71/1.11     1 ==> 0
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  factor: (130) {G5,W2,D2,L1,V1,M1}  { ! cUnsatisfiable( X ) }.
% 0.71/1.11  parent0[0, 1]: (72) {G5,W4,D2,L2,V2,M2} R(70,36) { ! cUnsatisfiable( Y ), !
% 0.71/1.11     cUnsatisfiable( X ) }.
% 0.71/1.11  substitution0:
% 0.71/1.11     X := X
% 0.71/1.11     Y := X
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  subsumption: (73) {G6,W2,D2,L1,V1,M1} F(72) { ! cUnsatisfiable( X ) }.
% 0.71/1.11  parent0: (130) {G5,W2,D2,L1,V1,M1}  { ! cUnsatisfiable( X ) }.
% 0.71/1.11  substitution0:
% 0.71/1.11     X := X
% 0.71/1.11  end
% 0.71/1.11  permutation0:
% 0.71/1.11     0 ==> 0
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  resolution: (131) {G1,W0,D0,L0,V0,M0}  {  }.
% 0.71/1.11  parent0[0]: (73) {G6,W2,D2,L1,V1,M1} F(72) { ! cUnsatisfiable( X ) }.
% 0.71/1.11  parent1[0]: (35) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( 
% 0.71/1.11    i2003_11_14_17_22_31584 ) }.
% 0.71/1.11  substitution0:
% 0.71/1.11     X := i2003_11_14_17_22_31584
% 0.71/1.11  end
% 0.71/1.11  substitution1:
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  subsumption: (74) {G7,W0,D0,L0,V0,M0} R(73,35) {  }.
% 0.71/1.11  parent0: (131) {G1,W0,D0,L0,V0,M0}  {  }.
% 0.71/1.11  substitution0:
% 0.71/1.11  end
% 0.71/1.11  permutation0:
% 0.71/1.11  end
% 0.71/1.11  
% 0.71/1.11  Proof check complete!
% 0.71/1.11  
% 0.71/1.11  Memory use:
% 0.71/1.11  
% 0.71/1.11  space for terms:        974
% 0.71/1.11  space for clauses:      3738
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  clauses generated:      102
% 0.71/1.11  clauses kept:           75
% 0.71/1.11  clauses selected:       63
% 0.71/1.11  clauses deleted:        0
% 0.71/1.11  clauses inuse deleted:  0
% 0.71/1.11  
% 0.71/1.11  subsentry:          6
% 0.71/1.11  literals s-matched: 4
% 0.71/1.11  literals matched:   4
% 0.71/1.11  full subsumption:   0
% 0.71/1.11  
% 0.71/1.11  checksum:           -752292263
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  Bliksem ended
%------------------------------------------------------------------------------