TSTP Solution File: KRS092+1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : KRS092+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n028.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 02:42:13 EDT 2022

% Result   : Unsatisfiable 0.59s 0.98s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : KRS092+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.12  % Command  : bliksem %s
% 0.12/0.32  % Computer : n028.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 12:28:30 EDT 2022
% 0.12/0.32  % CPUTime  : 
% 0.59/0.98  *** allocated 10000 integers for termspace/termends
% 0.59/0.98  *** allocated 10000 integers for clauses
% 0.59/0.98  *** allocated 10000 integers for justifications
% 0.59/0.98  Bliksem 1.12
% 0.59/0.98  
% 0.59/0.98  
% 0.59/0.98  Automatic Strategy Selection
% 0.59/0.98  
% 0.59/0.98  
% 0.59/0.98  Clauses:
% 0.59/0.98  
% 0.59/0.98  { cowlThing( X ) }.
% 0.59/0.98  { ! cowlNothing( X ) }.
% 0.59/0.98  { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.59/0.98  { xsd_integer( X ), xsd_string( X ) }.
% 0.59/0.98  { ! cUnsatisfiable( X ), alpha1( X ) }.
% 0.59/0.98  { ! cUnsatisfiable( X ), alpha2( X ) }.
% 0.59/0.98  { ! alpha1( X ), ! alpha2( X ), cUnsatisfiable( X ) }.
% 0.59/0.98  { ! alpha2( X ), ! rr( X, Y ), alpha3( Y ) }.
% 0.59/0.98  { ! alpha3( skol1( Y ) ), alpha2( X ) }.
% 0.59/0.98  { rr( X, skol1( X ) ), alpha2( X ) }.
% 0.59/0.98  { ! alpha3( X ), cd( X ) }.
% 0.59/0.98  { ! alpha3( X ), cc( X ) }.
% 0.59/0.98  { ! cd( X ), ! cc( X ), alpha3( X ) }.
% 0.59/0.98  { ! alpha1( X ), cowlThing( skol2( Y ) ) }.
% 0.59/0.98  { ! alpha1( X ), rr( X, skol2( X ) ) }.
% 0.59/0.98  { ! rr( X, Y ), ! cowlThing( Y ), alpha1( X ) }.
% 0.59/0.98  { ! cc( X ), ! cd( X ) }.
% 0.59/0.98  { ! cc1( X ), cd1( X ) }.
% 0.59/0.98  { ! cc1( X ), ! cd1( X ) }.
% 0.59/0.98  { ! ce3( X ), cc( X ) }.
% 0.59/0.98  { ! cf( X ), cd( X ) }.
% 0.59/0.98  { cUnsatisfiable( i2003_11_14_17_20_04172 ) }.
% 0.59/0.98  
% 0.59/0.98  percentage equality = 0.000000, percentage horn = 0.904762
% 0.59/0.98  This is a near-Horn, non-equality  problem
% 0.59/0.98  
% 0.59/0.98  
% 0.59/0.98  Options Used:
% 0.59/0.98  
% 0.59/0.98  useres =            1
% 0.59/0.98  useparamod =        0
% 0.59/0.98  useeqrefl =         0
% 0.59/0.98  useeqfact =         0
% 0.59/0.98  usefactor =         1
% 0.59/0.98  usesimpsplitting =  0
% 0.59/0.98  usesimpdemod =      0
% 0.59/0.98  usesimpres =        4
% 0.59/0.98  
% 0.59/0.98  resimpinuse      =  1000
% 0.59/0.98  resimpclauses =     20000
% 0.59/0.98  substype =          standard
% 0.59/0.98  backwardsubs =      1
% 0.59/0.98  selectoldest =      5
% 0.59/0.98  
% 0.59/0.98  litorderings [0] =  split
% 0.59/0.98  litorderings [1] =  liftord
% 0.59/0.98  
% 0.59/0.98  termordering =      none
% 0.59/0.98  
% 0.59/0.98  litapriori =        1
% 0.59/0.98  termapriori =       0
% 0.59/0.98  litaposteriori =    0
% 0.59/0.98  termaposteriori =   0
% 0.59/0.98  demodaposteriori =  0
% 0.59/0.98  ordereqreflfact =   0
% 0.59/0.98  
% 0.59/0.98  litselect =         negative
% 0.59/0.98  
% 0.59/0.98  maxweight =         30000
% 0.59/0.98  maxdepth =          30000
% 0.59/0.98  maxlength =         115
% 0.59/0.98  maxnrvars =         195
% 0.59/0.98  excuselevel =       0
% 0.59/0.98  increasemaxweight = 0
% 0.59/0.98  
% 0.59/0.98  maxselected =       10000000
% 0.59/0.98  maxnrclauses =      10000000
% 0.59/0.98  
% 0.59/0.98  showgenerated =    0
% 0.59/0.98  showkept =         0
% 0.59/0.98  showselected =     0
% 0.59/0.98  showdeleted =      0
% 0.59/0.98  showresimp =       1
% 0.59/0.98  showstatus =       2000
% 0.59/0.98  
% 0.59/0.98  prologoutput =     0
% 0.59/0.98  nrgoals =          5000000
% 0.59/0.98  totalproof =       1
% 0.59/0.98  
% 0.59/0.98  Symbols occurring in the translation:
% 0.59/0.98  
% 0.59/0.98  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.59/0.98  .  [1, 2]      (w:1, o:30, a:1, s:1, b:0), 
% 0.59/0.98  !  [4, 1]      (w:1, o:9, a:1, s:1, b:0), 
% 0.59/0.98  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.59/0.98  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.59/0.98  cowlThing  [36, 1]      (w:1, o:14, a:1, s:1, b:0), 
% 0.59/0.98  cowlNothing  [37, 1]      (w:1, o:15, a:1, s:1, b:0), 
% 0.59/0.98  xsd_string  [38, 1]      (w:1, o:16, a:1, s:1, b:0), 
% 0.59/0.98  xsd_integer  [39, 1]      (w:1, o:17, a:1, s:1, b:0), 
% 0.59/0.98  cUnsatisfiable  [40, 1]      (w:1, o:18, a:1, s:1, b:0), 
% 0.59/0.98  rr  [42, 2]      (w:1, o:54, a:1, s:1, b:0), 
% 0.59/0.98  cd  [43, 1]      (w:1, o:21, a:1, s:1, b:0), 
% 0.59/0.98  cc  [44, 1]      (w:1, o:19, a:1, s:1, b:0), 
% 0.59/0.98  cc1  [45, 1]      (w:1, o:20, a:1, s:1, b:0), 
% 0.59/0.98  cd1  [46, 1]      (w:1, o:22, a:1, s:1, b:0), 
% 0.59/0.98  ce3  [47, 1]      (w:1, o:23, a:1, s:1, b:0), 
% 0.59/0.98  cf  [48, 1]      (w:1, o:24, a:1, s:1, b:0), 
% 0.59/0.98  i2003_11_14_17_20_04172  [49, 0]      (w:1, o:8, a:1, s:1, b:0), 
% 0.59/0.98  alpha1  [50, 1]      (w:1, o:25, a:1, s:1, b:0), 
% 0.59/0.98  alpha2  [51, 1]      (w:1, o:26, a:1, s:1, b:0), 
% 0.59/0.98  alpha3  [52, 1]      (w:1, o:27, a:1, s:1, b:0), 
% 0.59/0.98  skol1  [53, 1]      (w:1, o:28, a:1, s:1, b:0), 
% 0.59/0.98  skol2  [54, 1]      (w:1, o:29, a:1, s:1, b:0).
% 0.59/0.98  
% 0.59/0.98  
% 0.59/0.98  Starting Search:
% 0.59/0.98  
% 0.59/0.98  
% 0.59/0.98  Bliksems!, er is een bewijs:
% 0.59/0.98  % SZS status Unsatisfiable
% 0.59/0.98  % SZS output start Refutation
% 0.59/0.98  
% 0.59/0.98  (4) {G0,W5,D2,L2,V1,M1} I { alpha1( X ), ! cUnsatisfiable( X ) }.
% 0.59/0.98  (5) {G0,W5,D2,L2,V1,M1} I { alpha2( X ), ! cUnsatisfiable( X ) }.
% 0.59/0.98  (7) {G0,W9,D2,L3,V2,M1} I { ! alpha2( X ), alpha3( Y ), ! rr( X, Y ) }.
% 0.59/0.98  (10) {G0,W5,D2,L2,V1,M1} I { cd( X ), ! alpha3( X ) }.
% 0.59/0.98  (11) {G0,W5,D2,L2,V1,M1} I { cc( X ), ! alpha3( X ) }.
% 0.59/0.98  (13) {G0,W7,D3,L2,V1,M1} I { rr( X, skol2( X ) ), ! alpha1( X ) }.
% 0.59/0.98  (15) {G0,W6,D2,L2,V1,M1} I { ! cc( X ), ! cd( X ) }.
% 0.59/0.98  (20) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( i2003_11_14_17_20_04172 ) }.
% 0.59/0.98  (21) {G1,W2,D2,L1,V0,M1} R(4,20) { alpha1( i2003_11_14_17_20_04172 ) }.
% 0.59/0.98  (22) {G1,W2,D2,L1,V0,M1} R(5,20) { alpha2( i2003_11_14_17_20_04172 ) }.
% 0.59/0.98  (24) {G2,W4,D3,L1,V0,M1} R(13,21) { rr( i2003_11_14_17_20_04172, skol2( 
% 0.59/0.98    i2003_11_14_17_20_04172 ) ) }.
% 0.59/0.98  (25) {G3,W3,D3,L1,V0,M1} R(24,7);r(22) { alpha3( skol2( 
% 0.59/0.98    i2003_11_14_17_20_04172 ) ) }.
% 0.59/0.98  (26) {G4,W3,D3,L1,V0,M1} R(25,10) { cd( skol2( i2003_11_14_17_20_04172 ) )
% 0.59/0.98     }.
% 0.59/0.98  (27) {G4,W3,D3,L1,V0,M1} R(25,11) { cc( skol2( i2003_11_14_17_20_04172 ) )
% 0.59/0.98     }.
% 0.59/0.98  (28) {G5,W0,D0,L0,V0,M0} R(26,15);r(27) {  }.
% 0.59/0.98  
% 0.59/0.98  
% 0.59/0.98  % SZS output end Refutation
% 0.59/0.98  found a proof!
% 0.59/0.98  
% 0.59/0.98  
% 0.59/0.98  Unprocessed initial clauses:
% 0.59/0.98  
% 0.59/0.98  (30) {G0,W2,D2,L1,V1,M1}  { cowlThing( X ) }.
% 0.59/0.98  (31) {G0,W3,D2,L1,V1,M1}  { ! cowlNothing( X ) }.
% 0.59/0.98  (32) {G0,W6,D2,L2,V1,M2}  { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.59/0.98  (33) {G0,W4,D2,L2,V1,M2}  { xsd_integer( X ), xsd_string( X ) }.
% 0.59/0.98  (34) {G0,W5,D2,L2,V1,M2}  { ! cUnsatisfiable( X ), alpha1( X ) }.
% 0.59/0.98  (35) {G0,W5,D2,L2,V1,M2}  { ! cUnsatisfiable( X ), alpha2( X ) }.
% 0.59/0.98  (36) {G0,W8,D2,L3,V1,M3}  { ! alpha1( X ), ! alpha2( X ), cUnsatisfiable( X
% 0.59/0.98     ) }.
% 0.59/0.98  (37) {G0,W9,D2,L3,V2,M3}  { ! alpha2( X ), ! rr( X, Y ), alpha3( Y ) }.
% 0.59/0.98  (38) {G0,W6,D3,L2,V2,M2}  { ! alpha3( skol1( Y ) ), alpha2( X ) }.
% 0.59/0.98  (39) {G0,W6,D3,L2,V1,M2}  { rr( X, skol1( X ) ), alpha2( X ) }.
% 0.59/0.98  (40) {G0,W5,D2,L2,V1,M2}  { ! alpha3( X ), cd( X ) }.
% 0.59/0.98  (41) {G0,W5,D2,L2,V1,M2}  { ! alpha3( X ), cc( X ) }.
% 0.59/0.98  (42) {G0,W8,D2,L3,V1,M3}  { ! cd( X ), ! cc( X ), alpha3( X ) }.
% 0.59/0.98  (43) {G0,W6,D3,L2,V2,M2}  { ! alpha1( X ), cowlThing( skol2( Y ) ) }.
% 0.59/0.98  (44) {G0,W7,D3,L2,V1,M2}  { ! alpha1( X ), rr( X, skol2( X ) ) }.
% 0.59/0.98  (45) {G0,W9,D2,L3,V2,M3}  { ! rr( X, Y ), ! cowlThing( Y ), alpha1( X ) }.
% 0.59/0.98  (46) {G0,W6,D2,L2,V1,M2}  { ! cc( X ), ! cd( X ) }.
% 0.59/0.98  (47) {G0,W5,D2,L2,V1,M2}  { ! cc1( X ), cd1( X ) }.
% 0.59/0.98  (48) {G0,W6,D2,L2,V1,M2}  { ! cc1( X ), ! cd1( X ) }.
% 0.59/0.98  (49) {G0,W5,D2,L2,V1,M2}  { ! ce3( X ), cc( X ) }.
% 0.59/0.98  (50) {G0,W5,D2,L2,V1,M2}  { ! cf( X ), cd( X ) }.
% 0.59/0.98  (51) {G0,W2,D2,L1,V0,M1}  { cUnsatisfiable( i2003_11_14_17_20_04172 ) }.
% 0.59/0.98  
% 0.59/0.98  
% 0.59/0.98  Total Proof:
% 0.59/0.98  
% 0.59/0.98  subsumption: (4) {G0,W5,D2,L2,V1,M1} I { alpha1( X ), ! cUnsatisfiable( X )
% 0.59/0.98     }.
% 0.59/0.98  parent0: (34) {G0,W5,D2,L2,V1,M2}  { ! cUnsatisfiable( X ), alpha1( X ) }.
% 0.59/0.98  substitution0:
% 0.59/0.98     X := X
% 0.59/0.98  end
% 0.59/0.98  permutation0:
% 0.59/0.98     0 ==> 1
% 0.59/0.98     1 ==> 0
% 0.59/0.98  end
% 0.59/0.98  
% 0.59/0.98  subsumption: (5) {G0,W5,D2,L2,V1,M1} I { alpha2( X ), ! cUnsatisfiable( X )
% 0.59/0.98     }.
% 0.59/0.98  parent0: (35) {G0,W5,D2,L2,V1,M2}  { ! cUnsatisfiable( X ), alpha2( X ) }.
% 0.59/0.98  substitution0:
% 0.59/0.98     X := X
% 0.59/0.98  end
% 0.59/0.98  permutation0:
% 0.59/0.98     0 ==> 1
% 0.59/0.98     1 ==> 0
% 0.59/0.98  end
% 0.59/0.98  
% 0.59/0.98  subsumption: (7) {G0,W9,D2,L3,V2,M1} I { ! alpha2( X ), alpha3( Y ), ! rr( 
% 0.59/0.98    X, Y ) }.
% 0.59/0.98  parent0: (37) {G0,W9,D2,L3,V2,M3}  { ! alpha2( X ), ! rr( X, Y ), alpha3( Y
% 0.59/0.98     ) }.
% 0.59/0.98  substitution0:
% 0.59/0.98     X := X
% 0.59/0.98     Y := Y
% 0.59/0.98  end
% 0.59/0.98  permutation0:
% 0.59/0.98     0 ==> 0
% 0.59/0.98     1 ==> 2
% 0.59/0.98     2 ==> 1
% 0.59/0.98  end
% 0.59/0.98  
% 0.59/0.98  subsumption: (10) {G0,W5,D2,L2,V1,M1} I { cd( X ), ! alpha3( X ) }.
% 0.59/0.98  parent0: (40) {G0,W5,D2,L2,V1,M2}  { ! alpha3( X ), cd( X ) }.
% 0.59/0.98  substitution0:
% 0.59/0.98     X := X
% 0.59/0.98  end
% 0.59/0.98  permutation0:
% 0.59/0.98     0 ==> 1
% 0.59/0.98     1 ==> 0
% 0.59/0.98  end
% 0.59/0.98  
% 0.59/0.98  subsumption: (11) {G0,W5,D2,L2,V1,M1} I { cc( X ), ! alpha3( X ) }.
% 0.59/0.98  parent0: (41) {G0,W5,D2,L2,V1,M2}  { ! alpha3( X ), cc( X ) }.
% 0.59/0.98  substitution0:
% 0.59/0.98     X := X
% 0.59/0.98  end
% 0.59/0.98  permutation0:
% 0.59/0.98     0 ==> 1
% 0.59/0.98     1 ==> 0
% 0.59/0.98  end
% 0.59/0.98  
% 0.59/0.98  subsumption: (13) {G0,W7,D3,L2,V1,M1} I { rr( X, skol2( X ) ), ! alpha1( X
% 0.59/0.98     ) }.
% 0.59/0.98  parent0: (44) {G0,W7,D3,L2,V1,M2}  { ! alpha1( X ), rr( X, skol2( X ) ) }.
% 0.59/0.98  substitution0:
% 0.59/0.98     X := X
% 0.59/0.98  end
% 0.59/0.98  permutation0:
% 0.59/0.98     0 ==> 1
% 0.59/0.98     1 ==> 0
% 0.59/0.98  end
% 0.59/0.98  
% 0.59/0.98  subsumption: (15) {G0,W6,D2,L2,V1,M1} I { ! cc( X ), ! cd( X ) }.
% 0.59/0.98  parent0: (46) {G0,W6,D2,L2,V1,M2}  { ! cc( X ), ! cd( X ) }.
% 0.59/0.98  substitution0:
% 0.59/0.98     X := X
% 0.59/0.98  end
% 0.59/0.98  permutation0:
% 0.59/0.98     0 ==> 0
% 0.59/0.98     1 ==> 1
% 0.59/0.98  end
% 0.59/0.98  
% 0.59/0.98  subsumption: (20) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( 
% 0.59/0.98    i2003_11_14_17_20_04172 ) }.
% 0.59/0.98  parent0: (51) {G0,W2,D2,L1,V0,M1}  { cUnsatisfiable( 
% 0.59/0.98    i2003_11_14_17_20_04172 ) }.
% 0.59/0.98  substitution0:
% 0.59/0.98  end
% 0.59/0.98  permutation0:
% 0.59/0.98     0 ==> 0
% 0.59/0.98  end
% 0.59/0.98  
% 0.59/0.98  resolution: (52) {G1,W2,D2,L1,V0,M1}  { alpha1( i2003_11_14_17_20_04172 )
% 0.59/0.98     }.
% 0.59/0.98  parent0[1]: (4) {G0,W5,D2,L2,V1,M1} I { alpha1( X ), ! cUnsatisfiable( X )
% 0.59/0.98     }.
% 0.59/0.98  parent1[0]: (20) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( 
% 0.59/0.98    i2003_11_14_17_20_04172 ) }.
% 0.59/0.98  substitution0:
% 0.59/0.98     X := i2003_11_14_17_20_04172
% 0.59/0.98  end
% 0.59/0.98  substitution1:
% 0.59/0.98  end
% 0.59/0.98  
% 0.59/0.98  subsumption: (21) {G1,W2,D2,L1,V0,M1} R(4,20) { alpha1( 
% 0.59/0.98    i2003_11_14_17_20_04172 ) }.
% 0.59/0.98  parent0: (52) {G1,W2,D2,L1,V0,M1}  { alpha1( i2003_11_14_17_20_04172 ) }.
% 0.59/0.98  substitution0:
% 0.59/0.98  end
% 0.59/0.98  permutation0:
% 0.59/0.98     0 ==> 0
% 0.59/0.98  end
% 0.59/0.98  
% 0.59/0.98  resolution: (53) {G1,W2,D2,L1,V0,M1}  { alpha2( i2003_11_14_17_20_04172 )
% 0.59/0.98     }.
% 0.59/0.98  parent0[1]: (5) {G0,W5,D2,L2,V1,M1} I { alpha2( X ), ! cUnsatisfiable( X )
% 0.59/0.98     }.
% 0.59/0.98  parent1[0]: (20) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( 
% 0.59/0.98    i2003_11_14_17_20_04172 ) }.
% 0.59/0.98  substitution0:
% 0.59/0.98     X := i2003_11_14_17_20_04172
% 0.59/0.98  end
% 0.59/0.98  substitution1:
% 0.59/0.98  end
% 0.59/0.98  
% 0.59/0.98  subsumption: (22) {G1,W2,D2,L1,V0,M1} R(5,20) { alpha2( 
% 0.59/0.98    i2003_11_14_17_20_04172 ) }.
% 0.59/0.98  parent0: (53) {G1,W2,D2,L1,V0,M1}  { alpha2( i2003_11_14_17_20_04172 ) }.
% 0.59/0.98  substitution0:
% 0.59/0.98  end
% 0.59/0.98  permutation0:
% 0.59/0.98     0 ==> 0
% 0.59/0.98  end
% 0.59/0.98  
% 0.59/0.98  resolution: (54) {G1,W4,D3,L1,V0,M1}  { rr( i2003_11_14_17_20_04172, skol2
% 0.59/0.98    ( i2003_11_14_17_20_04172 ) ) }.
% 0.59/0.98  parent0[1]: (13) {G0,W7,D3,L2,V1,M1} I { rr( X, skol2( X ) ), ! alpha1( X )
% 0.59/0.98     }.
% 0.59/0.98  parent1[0]: (21) {G1,W2,D2,L1,V0,M1} R(4,20) { alpha1( 
% 0.59/0.98    i2003_11_14_17_20_04172 ) }.
% 0.59/0.98  substitution0:
% 0.59/0.98     X := i2003_11_14_17_20_04172
% 0.59/0.98  end
% 0.59/0.98  substitution1:
% 0.59/0.98  end
% 0.59/0.98  
% 0.59/0.98  subsumption: (24) {G2,W4,D3,L1,V0,M1} R(13,21) { rr( 
% 0.59/0.98    i2003_11_14_17_20_04172, skol2( i2003_11_14_17_20_04172 ) ) }.
% 0.59/0.98  parent0: (54) {G1,W4,D3,L1,V0,M1}  { rr( i2003_11_14_17_20_04172, skol2( 
% 0.59/0.98    i2003_11_14_17_20_04172 ) ) }.
% 0.59/0.98  substitution0:
% 0.59/0.98  end
% 0.59/0.98  permutation0:
% 0.59/0.98     0 ==> 0
% 0.59/0.98  end
% 0.59/0.98  
% 0.59/0.98  resolution: (55) {G1,W6,D3,L2,V0,M2}  { ! alpha2( i2003_11_14_17_20_04172 )
% 0.59/0.98    , alpha3( skol2( i2003_11_14_17_20_04172 ) ) }.
% 0.59/0.98  parent0[2]: (7) {G0,W9,D2,L3,V2,M1} I { ! alpha2( X ), alpha3( Y ), ! rr( X
% 0.59/0.98    , Y ) }.
% 0.59/0.98  parent1[0]: (24) {G2,W4,D3,L1,V0,M1} R(13,21) { rr( i2003_11_14_17_20_04172
% 0.59/0.98    , skol2( i2003_11_14_17_20_04172 ) ) }.
% 0.59/0.98  substitution0:
% 0.59/0.98     X := i2003_11_14_17_20_04172
% 0.59/0.98     Y := skol2( i2003_11_14_17_20_04172 )
% 0.59/0.98  end
% 0.59/0.98  substitution1:
% 0.59/0.98  end
% 0.59/0.98  
% 0.59/0.98  resolution: (56) {G2,W3,D3,L1,V0,M1}  { alpha3( skol2( 
% 0.59/0.98    i2003_11_14_17_20_04172 ) ) }.
% 0.59/0.98  parent0[0]: (55) {G1,W6,D3,L2,V0,M2}  { ! alpha2( i2003_11_14_17_20_04172 )
% 0.59/0.98    , alpha3( skol2( i2003_11_14_17_20_04172 ) ) }.
% 0.59/0.98  parent1[0]: (22) {G1,W2,D2,L1,V0,M1} R(5,20) { alpha2( 
% 0.59/0.98    i2003_11_14_17_20_04172 ) }.
% 0.59/0.98  substitution0:
% 0.59/0.98  end
% 0.59/0.98  substitution1:
% 0.59/0.98  end
% 0.59/0.98  
% 0.59/0.98  subsumption: (25) {G3,W3,D3,L1,V0,M1} R(24,7);r(22) { alpha3( skol2( 
% 0.59/0.98    i2003_11_14_17_20_04172 ) ) }.
% 0.59/0.98  parent0: (56) {G2,W3,D3,L1,V0,M1}  { alpha3( skol2( i2003_11_14_17_20_04172
% 0.59/0.98     ) ) }.
% 0.59/0.98  substitution0:
% 0.59/0.98  end
% 0.59/0.98  permutation0:
% 0.59/0.98     0 ==> 0
% 0.59/0.98  end
% 0.59/0.98  
% 0.59/0.98  resolution: (57) {G1,W3,D3,L1,V0,M1}  { cd( skol2( i2003_11_14_17_20_04172
% 0.59/0.98     ) ) }.
% 0.59/0.98  parent0[1]: (10) {G0,W5,D2,L2,V1,M1} I { cd( X ), ! alpha3( X ) }.
% 0.59/0.98  parent1[0]: (25) {G3,W3,D3,L1,V0,M1} R(24,7);r(22) { alpha3( skol2( 
% 0.59/0.98    i2003_11_14_17_20_04172 ) ) }.
% 0.59/0.98  substitution0:
% 0.59/0.98     X := skol2( i2003_11_14_17_20_04172 )
% 0.59/0.98  end
% 0.59/0.98  substitution1:
% 0.59/0.98  end
% 0.59/0.98  
% 0.59/0.98  subsumption: (26) {G4,W3,D3,L1,V0,M1} R(25,10) { cd( skol2( 
% 0.59/0.98    i2003_11_14_17_20_04172 ) ) }.
% 0.59/0.98  parent0: (57) {G1,W3,D3,L1,V0,M1}  { cd( skol2( i2003_11_14_17_20_04172 ) )
% 0.59/0.98     }.
% 0.59/0.98  substitution0:
% 0.59/0.98  end
% 0.59/0.98  permutation0:
% 0.59/0.98     0 ==> 0
% 0.59/0.98  end
% 0.59/0.98  
% 0.59/0.98  resolution: (58) {G1,W3,D3,L1,V0,M1}  { cc( skol2( i2003_11_14_17_20_04172
% 0.59/0.98     ) ) }.
% 0.59/0.98  parent0[1]: (11) {G0,W5,D2,L2,V1,M1} I { cc( X ), ! alpha3( X ) }.
% 0.59/0.98  parent1[0]: (25) {G3,W3,D3,L1,V0,M1} R(24,7);r(22) { alpha3( skol2( 
% 0.59/0.98    i2003_11_14_17_20_04172 ) ) }.
% 0.59/0.98  substitution0:
% 0.59/0.98     X := skol2( i2003_11_14_17_20_04172 )
% 0.59/0.98  end
% 0.59/0.98  substitution1:
% 0.59/0.98  end
% 0.59/0.98  
% 0.59/0.98  subsumption: (27) {G4,W3,D3,L1,V0,M1} R(25,11) { cc( skol2( 
% 0.59/0.98    i2003_11_14_17_20_04172 ) ) }.
% 0.59/0.98  parent0: (58) {G1,W3,D3,L1,V0,M1}  { cc( skol2( i2003_11_14_17_20_04172 ) )
% 0.59/0.98     }.
% 0.59/0.98  substitution0:
% 0.59/0.98  end
% 0.59/0.98  permutation0:
% 0.59/0.98     0 ==> 0
% 0.59/0.98  end
% 0.59/0.98  
% 0.59/0.98  resolution: (59) {G1,W4,D3,L1,V0,M1}  { ! cc( skol2( 
% 0.59/0.98    i2003_11_14_17_20_04172 ) ) }.
% 0.59/0.98  parent0[1]: (15) {G0,W6,D2,L2,V1,M1} I { ! cc( X ), ! cd( X ) }.
% 0.59/0.98  parent1[0]: (26) {G4,W3,D3,L1,V0,M1} R(25,10) { cd( skol2( 
% 0.59/0.98    i2003_11_14_17_20_04172 ) ) }.
% 0.59/0.98  substitution0:
% 0.59/0.98     X := skol2( i2003_11_14_17_20_04172 )
% 0.59/0.98  end
% 0.59/0.98  substitution1:
% 0.59/0.98  end
% 0.59/0.98  
% 0.59/0.98  resolution: (60) {G2,W0,D0,L0,V0,M0}  {  }.
% 0.59/0.98  parent0[0]: (59) {G1,W4,D3,L1,V0,M1}  { ! cc( skol2( 
% 0.59/0.98    i2003_11_14_17_20_04172 ) ) }.
% 0.59/0.98  parent1[0]: (27) {G4,W3,D3,L1,V0,M1} R(25,11) { cc( skol2( 
% 0.59/0.98    i2003_11_14_17_20_04172 ) ) }.
% 0.59/0.98  substitution0:
% 0.59/0.98  end
% 0.59/0.98  substitution1:
% 0.59/0.98  end
% 0.59/0.98  
% 0.59/0.98  subsumption: (28) {G5,W0,D0,L0,V0,M0} R(26,15);r(27) {  }.
% 0.59/0.98  parent0: (60) {G2,W0,D0,L0,V0,M0}  {  }.
% 0.59/0.98  substitution0:
% 0.59/0.98  end
% 0.59/0.98  permutation0:
% 0.59/0.98  end
% 0.59/0.98  
% 0.59/0.98  Proof check complete!
% 0.59/0.98  
% 0.59/0.98  Memory use:
% 0.59/0.98  
% 0.59/0.98  space for terms:        403
% 0.59/0.98  space for clauses:      1547
% 0.59/0.98  
% 0.59/0.98  
% 0.59/0.98  clauses generated:      33
% 0.59/0.98  clauses kept:           29
% 0.59/0.98  clauses selected:       25
% 0.59/0.98  clauses deleted:        2
% 0.59/0.98  clauses inuse deleted:  0
% 0.59/0.98  
% 0.59/0.98  subsentry:          5
% 0.59/0.98  literals s-matched: 5
% 0.59/0.98  literals matched:   5
% 0.59/0.98  full subsumption:   0
% 0.59/0.98  
% 0.59/0.98  checksum:           51128013
% 0.59/0.98  
% 0.59/0.98  
% 0.59/0.98  Bliksem ended
%------------------------------------------------------------------------------