TSTP Solution File: KRS125+1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : KRS125+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 02:42:21 EDT 2022

% Result   : Unsatisfiable 0.70s 1.08s
% Output   : Refutation 0.70s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : KRS125+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n028.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % DateTime : Tue Jun  7 17:24:30 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.70/1.08  *** allocated 10000 integers for termspace/termends
% 0.70/1.08  *** allocated 10000 integers for clauses
% 0.70/1.08  *** allocated 10000 integers for justifications
% 0.70/1.08  Bliksem 1.12
% 0.70/1.08  
% 0.70/1.08  
% 0.70/1.08  Automatic Strategy Selection
% 0.70/1.08  
% 0.70/1.08  
% 0.70/1.08  Clauses:
% 0.70/1.08  
% 0.70/1.08  { cowlThing( X ) }.
% 0.70/1.08  { ! cowlNothing( X ) }.
% 0.70/1.08  { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.70/1.08  { xsd_integer( X ), xsd_string( X ) }.
% 0.70/1.08  { ! cUnsatisfiable( X ), ce3( X ) }.
% 0.70/1.08  { ! cUnsatisfiable( X ), cf( X ) }.
% 0.70/1.08  { ! ce3( X ), ! cf( X ), cUnsatisfiable( X ) }.
% 0.70/1.08  { ! cc( X ), cdxcomp( X ) }.
% 0.70/1.08  { ! cc1( X ), cd1xcomp( X ) }.
% 0.70/1.08  { ! cc1( X ), cd1( X ) }.
% 0.70/1.08  { ! cd( X ), ! ra_Px1( X, Y ) }.
% 0.70/1.08  { ra_Px1( X, skol1( X ) ), cd( X ) }.
% 0.70/1.08  { ! cdxcomp( X ), ra_Px1( X, skol2( X ) ) }.
% 0.70/1.08  { ! ra_Px1( X, Y ), cdxcomp( X ) }.
% 0.70/1.08  { ! cd1( X ), ra_Px2( X, skol3( X ) ) }.
% 0.70/1.08  { ! ra_Px2( X, Y ), cd1( X ) }.
% 0.70/1.08  { ! cd1xcomp( X ), ! ra_Px2( X, Y ) }.
% 0.70/1.08  { ra_Px2( X, skol4( X ) ), cd1xcomp( X ) }.
% 0.70/1.08  { ! ce3( X ), cc( X ) }.
% 0.70/1.08  { ! cf( X ), cd( X ) }.
% 0.70/1.08  { cUnsatisfiable( i2003_11_14_17_22_17947 ) }.
% 0.70/1.08  
% 0.70/1.08  percentage equality = 0.000000, percentage horn = 0.857143
% 0.70/1.08  This a non-horn, non-equality problem
% 0.70/1.08  
% 0.70/1.08  
% 0.70/1.08  Options Used:
% 0.70/1.08  
% 0.70/1.08  useres =            1
% 0.70/1.08  useparamod =        0
% 0.70/1.08  useeqrefl =         0
% 0.70/1.08  useeqfact =         0
% 0.70/1.08  usefactor =         1
% 0.70/1.08  usesimpsplitting =  0
% 0.70/1.08  usesimpdemod =      0
% 0.70/1.08  usesimpres =        3
% 0.70/1.08  
% 0.70/1.08  resimpinuse      =  1000
% 0.70/1.08  resimpclauses =     20000
% 0.70/1.08  substype =          standard
% 0.70/1.08  backwardsubs =      1
% 0.70/1.08  selectoldest =      5
% 0.70/1.08  
% 0.70/1.08  litorderings [0] =  split
% 0.70/1.08  litorderings [1] =  liftord
% 0.70/1.08  
% 0.70/1.08  termordering =      none
% 0.70/1.08  
% 0.70/1.08  litapriori =        1
% 0.70/1.08  termapriori =       0
% 0.70/1.08  litaposteriori =    0
% 0.70/1.08  termaposteriori =   0
% 0.70/1.08  demodaposteriori =  0
% 0.70/1.08  ordereqreflfact =   0
% 0.70/1.08  
% 0.70/1.08  litselect =         none
% 0.70/1.08  
% 0.70/1.08  maxweight =         15
% 0.70/1.08  maxdepth =          30000
% 0.70/1.08  maxlength =         115
% 0.70/1.08  maxnrvars =         195
% 0.70/1.08  excuselevel =       1
% 0.70/1.08  increasemaxweight = 1
% 0.70/1.08  
% 0.70/1.08  maxselected =       10000000
% 0.70/1.08  maxnrclauses =      10000000
% 0.70/1.08  
% 0.70/1.08  showgenerated =    0
% 0.70/1.08  showkept =         0
% 0.70/1.08  showselected =     0
% 0.70/1.08  showdeleted =      0
% 0.70/1.08  showresimp =       1
% 0.70/1.08  showstatus =       2000
% 0.70/1.08  
% 0.70/1.08  prologoutput =     0
% 0.70/1.08  nrgoals =          5000000
% 0.70/1.08  totalproof =       1
% 0.70/1.08  
% 0.70/1.08  Symbols occurring in the translation:
% 0.70/1.08  
% 0.70/1.08  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.70/1.08  .  [1, 2]      (w:1, o:32, a:1, s:1, b:0), 
% 0.70/1.08  !  [4, 1]      (w:0, o:10, a:1, s:1, b:0), 
% 0.70/1.08  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.70/1.08  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.70/1.08  cowlThing  [36, 1]      (w:1, o:15, a:1, s:1, b:0), 
% 0.70/1.08  cowlNothing  [37, 1]      (w:1, o:16, a:1, s:1, b:0), 
% 0.70/1.08  xsd_string  [38, 1]      (w:1, o:17, a:1, s:1, b:0), 
% 0.70/1.08  xsd_integer  [39, 1]      (w:1, o:18, a:1, s:1, b:0), 
% 0.70/1.08  cUnsatisfiable  [40, 1]      (w:1, o:19, a:1, s:1, b:0), 
% 0.70/1.08  ce3  [41, 1]      (w:1, o:25, a:1, s:1, b:0), 
% 0.70/1.08  cf  [42, 1]      (w:1, o:26, a:1, s:1, b:0), 
% 0.70/1.08  cc  [43, 1]      (w:1, o:27, a:1, s:1, b:0), 
% 0.70/1.08  cdxcomp  [44, 1]      (w:1, o:21, a:1, s:1, b:0), 
% 0.70/1.08  cc1  [45, 1]      (w:1, o:20, a:1, s:1, b:0), 
% 0.70/1.08  cd1xcomp  [46, 1]      (w:1, o:22, a:1, s:1, b:0), 
% 0.70/1.08  cd1  [47, 1]      (w:1, o:23, a:1, s:1, b:0), 
% 0.70/1.08  cd  [48, 1]      (w:1, o:24, a:1, s:1, b:0), 
% 0.70/1.08  ra_Px1  [50, 2]      (w:1, o:56, a:1, s:1, b:0), 
% 0.70/1.08  ra_Px2  [52, 2]      (w:1, o:57, a:1, s:1, b:0), 
% 0.70/1.08  i2003_11_14_17_22_17947  [53, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.70/1.08  skol1  [54, 1]      (w:1, o:28, a:1, s:1, b:0), 
% 0.70/1.08  skol2  [55, 1]      (w:1, o:29, a:1, s:1, b:0), 
% 0.70/1.08  skol3  [56, 1]      (w:1, o:30, a:1, s:1, b:0), 
% 0.70/1.08  skol4  [57, 1]      (w:1, o:31, a:1, s:1, b:0).
% 0.70/1.08  
% 0.70/1.08  
% 0.70/1.08  Starting Search:
% 0.70/1.08  
% 0.70/1.08  
% 0.70/1.08  Bliksems!, er is een bewijs:
% 0.70/1.08  % SZS status Unsatisfiable
% 0.70/1.08  % SZS output start Refutation
% 0.70/1.08  
% 0.70/1.08  (4) {G0,W4,D2,L2,V1,M1} I { ! cUnsatisfiable( X ), ce3( X ) }.
% 0.70/1.08  (5) {G0,W4,D2,L2,V1,M1} I { ! cUnsatisfiable( X ), cf( X ) }.
% 0.70/1.08  (7) {G0,W4,D2,L2,V1,M1} I { cdxcomp( X ), ! cc( X ) }.
% 0.70/1.08  (10) {G0,W5,D2,L2,V2,M1} I { ! cd( X ), ! ra_Px1( X, Y ) }.
% 0.70/1.08  (12) {G0,W6,D3,L2,V1,M1} I { ! cdxcomp( X ), ra_Px1( X, skol2( X ) ) }.
% 0.70/1.08  (18) {G0,W4,D2,L2,V1,M1} I { ! ce3( X ), cc( X ) }.
% 0.70/1.08  (19) {G0,W4,D2,L2,V1,M1} I { cd( X ), ! cf( X ) }.
% 0.70/1.08  (20) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( i2003_11_14_17_22_17947 ) }.
% 0.70/1.08  (21) {G1,W4,D2,L2,V1,M1} R(7,18) { cdxcomp( X ), ! ce3( X ) }.
% 0.70/1.08  (22) {G1,W4,D2,L2,V1,M1} R(5,19) { ! cUnsatisfiable( X ), cd( X ) }.
% 0.70/1.08  (23) {G2,W4,D2,L2,V1,M1} R(4,21) { ! cUnsatisfiable( X ), cdxcomp( X ) }.
% 0.70/1.08  (27) {G1,W4,D2,L2,V1,M1} R(12,10) { ! cdxcomp( X ), ! cd( X ) }.
% 0.70/1.08  (28) {G3,W2,D2,L1,V1,M1} R(27,22);r(23) { ! cUnsatisfiable( X ) }.
% 0.70/1.08  (29) {G4,W0,D0,L0,V0,M0} R(28,20) {  }.
% 0.70/1.08  
% 0.70/1.08  
% 0.70/1.08  % SZS output end Refutation
% 0.70/1.08  found a proof!
% 0.70/1.08  
% 0.70/1.08  
% 0.70/1.08  Unprocessed initial clauses:
% 0.70/1.08  
% 0.70/1.08  (31) {G0,W2,D2,L1,V1,M1}  { cowlThing( X ) }.
% 0.70/1.08  (32) {G0,W2,D2,L1,V1,M1}  { ! cowlNothing( X ) }.
% 0.70/1.08  (33) {G0,W4,D2,L2,V1,M2}  { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.70/1.08  (34) {G0,W4,D2,L2,V1,M2}  { xsd_integer( X ), xsd_string( X ) }.
% 0.70/1.08  (35) {G0,W4,D2,L2,V1,M2}  { ! cUnsatisfiable( X ), ce3( X ) }.
% 0.70/1.08  (36) {G0,W4,D2,L2,V1,M2}  { ! cUnsatisfiable( X ), cf( X ) }.
% 0.70/1.08  (37) {G0,W6,D2,L3,V1,M3}  { ! ce3( X ), ! cf( X ), cUnsatisfiable( X ) }.
% 0.70/1.08  (38) {G0,W4,D2,L2,V1,M2}  { ! cc( X ), cdxcomp( X ) }.
% 0.70/1.08  (39) {G0,W4,D2,L2,V1,M2}  { ! cc1( X ), cd1xcomp( X ) }.
% 0.70/1.08  (40) {G0,W4,D2,L2,V1,M2}  { ! cc1( X ), cd1( X ) }.
% 0.70/1.08  (41) {G0,W5,D2,L2,V2,M2}  { ! cd( X ), ! ra_Px1( X, Y ) }.
% 0.70/1.08  (42) {G0,W6,D3,L2,V1,M2}  { ra_Px1( X, skol1( X ) ), cd( X ) }.
% 0.70/1.08  (43) {G0,W6,D3,L2,V1,M2}  { ! cdxcomp( X ), ra_Px1( X, skol2( X ) ) }.
% 0.70/1.08  (44) {G0,W5,D2,L2,V2,M2}  { ! ra_Px1( X, Y ), cdxcomp( X ) }.
% 0.70/1.08  (45) {G0,W6,D3,L2,V1,M2}  { ! cd1( X ), ra_Px2( X, skol3( X ) ) }.
% 0.70/1.08  (46) {G0,W5,D2,L2,V2,M2}  { ! ra_Px2( X, Y ), cd1( X ) }.
% 0.70/1.08  (47) {G0,W5,D2,L2,V2,M2}  { ! cd1xcomp( X ), ! ra_Px2( X, Y ) }.
% 0.70/1.08  (48) {G0,W6,D3,L2,V1,M2}  { ra_Px2( X, skol4( X ) ), cd1xcomp( X ) }.
% 0.70/1.08  (49) {G0,W4,D2,L2,V1,M2}  { ! ce3( X ), cc( X ) }.
% 0.70/1.08  (50) {G0,W4,D2,L2,V1,M2}  { ! cf( X ), cd( X ) }.
% 0.70/1.08  (51) {G0,W2,D2,L1,V0,M1}  { cUnsatisfiable( i2003_11_14_17_22_17947 ) }.
% 0.70/1.08  
% 0.70/1.08  
% 0.70/1.08  Total Proof:
% 0.70/1.08  
% 0.70/1.08  subsumption: (4) {G0,W4,D2,L2,V1,M1} I { ! cUnsatisfiable( X ), ce3( X )
% 0.70/1.08     }.
% 0.70/1.08  parent0: (35) {G0,W4,D2,L2,V1,M2}  { ! cUnsatisfiable( X ), ce3( X ) }.
% 0.70/1.08  substitution0:
% 0.70/1.08     X := X
% 0.70/1.08  end
% 0.70/1.08  permutation0:
% 0.70/1.08     0 ==> 0
% 0.70/1.08     1 ==> 1
% 0.70/1.08  end
% 0.70/1.08  
% 0.70/1.08  subsumption: (5) {G0,W4,D2,L2,V1,M1} I { ! cUnsatisfiable( X ), cf( X ) }.
% 0.70/1.08  parent0: (36) {G0,W4,D2,L2,V1,M2}  { ! cUnsatisfiable( X ), cf( X ) }.
% 0.70/1.08  substitution0:
% 0.70/1.08     X := X
% 0.70/1.08  end
% 0.70/1.08  permutation0:
% 0.70/1.08     0 ==> 0
% 0.70/1.08     1 ==> 1
% 0.70/1.08  end
% 0.70/1.08  
% 0.70/1.08  subsumption: (7) {G0,W4,D2,L2,V1,M1} I { cdxcomp( X ), ! cc( X ) }.
% 0.70/1.08  parent0: (38) {G0,W4,D2,L2,V1,M2}  { ! cc( X ), cdxcomp( X ) }.
% 0.70/1.08  substitution0:
% 0.70/1.08     X := X
% 0.70/1.08  end
% 0.70/1.08  permutation0:
% 0.70/1.08     0 ==> 1
% 0.70/1.08     1 ==> 0
% 0.70/1.08  end
% 0.70/1.08  
% 0.70/1.08  subsumption: (10) {G0,W5,D2,L2,V2,M1} I { ! cd( X ), ! ra_Px1( X, Y ) }.
% 0.70/1.08  parent0: (41) {G0,W5,D2,L2,V2,M2}  { ! cd( X ), ! ra_Px1( X, Y ) }.
% 0.70/1.08  substitution0:
% 0.70/1.08     X := X
% 0.70/1.08     Y := Y
% 0.70/1.08  end
% 0.70/1.08  permutation0:
% 0.70/1.08     0 ==> 0
% 0.70/1.08     1 ==> 1
% 0.70/1.08  end
% 0.70/1.08  
% 0.70/1.08  subsumption: (12) {G0,W6,D3,L2,V1,M1} I { ! cdxcomp( X ), ra_Px1( X, skol2
% 0.70/1.08    ( X ) ) }.
% 0.70/1.08  parent0: (43) {G0,W6,D3,L2,V1,M2}  { ! cdxcomp( X ), ra_Px1( X, skol2( X )
% 0.70/1.08     ) }.
% 0.70/1.08  substitution0:
% 0.70/1.08     X := X
% 0.70/1.08  end
% 0.70/1.08  permutation0:
% 0.70/1.08     0 ==> 0
% 0.70/1.08     1 ==> 1
% 0.70/1.08  end
% 0.70/1.08  
% 0.70/1.08  subsumption: (18) {G0,W4,D2,L2,V1,M1} I { ! ce3( X ), cc( X ) }.
% 0.70/1.08  parent0: (49) {G0,W4,D2,L2,V1,M2}  { ! ce3( X ), cc( X ) }.
% 0.70/1.08  substitution0:
% 0.70/1.08     X := X
% 0.70/1.08  end
% 0.70/1.08  permutation0:
% 0.70/1.08     0 ==> 0
% 0.70/1.08     1 ==> 1
% 0.70/1.08  end
% 0.70/1.08  
% 0.70/1.08  subsumption: (19) {G0,W4,D2,L2,V1,M1} I { cd( X ), ! cf( X ) }.
% 0.70/1.08  parent0: (50) {G0,W4,D2,L2,V1,M2}  { ! cf( X ), cd( X ) }.
% 0.70/1.08  substitution0:
% 0.70/1.08     X := X
% 0.70/1.08  end
% 0.70/1.08  permutation0:
% 0.70/1.08     0 ==> 1
% 0.70/1.08     1 ==> 0
% 0.70/1.08  end
% 0.70/1.08  
% 0.70/1.08  subsumption: (20) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( 
% 0.70/1.08    i2003_11_14_17_22_17947 ) }.
% 0.70/1.08  parent0: (51) {G0,W2,D2,L1,V0,M1}  { cUnsatisfiable( 
% 0.70/1.08    i2003_11_14_17_22_17947 ) }.
% 0.70/1.08  substitution0:
% 0.70/1.08  end
% 0.70/1.08  permutation0:
% 0.70/1.08     0 ==> 0
% 0.70/1.08  end
% 0.70/1.08  
% 0.70/1.08  resolution: (52) {G1,W4,D2,L2,V1,M2}  { cdxcomp( X ), ! ce3( X ) }.
% 0.70/1.08  parent0[1]: (7) {G0,W4,D2,L2,V1,M1} I { cdxcomp( X ), ! cc( X ) }.
% 0.70/1.08  parent1[1]: (18) {G0,W4,D2,L2,V1,M1} I { ! ce3( X ), cc( X ) }.
% 0.70/1.08  substitution0:
% 0.70/1.08     X := X
% 0.70/1.08  end
% 0.70/1.08  substitution1:
% 0.70/1.08     X := X
% 0.70/1.08  end
% 0.70/1.08  
% 0.70/1.08  subsumption: (21) {G1,W4,D2,L2,V1,M1} R(7,18) { cdxcomp( X ), ! ce3( X )
% 0.70/1.08     }.
% 0.70/1.08  parent0: (52) {G1,W4,D2,L2,V1,M2}  { cdxcomp( X ), ! ce3( X ) }.
% 0.70/1.08  substitution0:
% 0.70/1.08     X := X
% 0.70/1.08  end
% 0.70/1.08  permutation0:
% 0.70/1.08     0 ==> 0
% 0.70/1.08     1 ==> 1
% 0.70/1.08  end
% 0.70/1.08  
% 0.70/1.08  resolution: (53) {G1,W4,D2,L2,V1,M2}  { cd( X ), ! cUnsatisfiable( X ) }.
% 0.70/1.08  parent0[1]: (19) {G0,W4,D2,L2,V1,M1} I { cd( X ), ! cf( X ) }.
% 0.70/1.08  parent1[1]: (5) {G0,W4,D2,L2,V1,M1} I { ! cUnsatisfiable( X ), cf( X ) }.
% 0.70/1.08  substitution0:
% 0.70/1.08     X := X
% 0.70/1.08  end
% 0.70/1.08  substitution1:
% 0.70/1.08     X := X
% 0.70/1.08  end
% 0.70/1.08  
% 0.70/1.08  subsumption: (22) {G1,W4,D2,L2,V1,M1} R(5,19) { ! cUnsatisfiable( X ), cd( 
% 0.70/1.08    X ) }.
% 0.70/1.08  parent0: (53) {G1,W4,D2,L2,V1,M2}  { cd( X ), ! cUnsatisfiable( X ) }.
% 0.70/1.08  substitution0:
% 0.70/1.08     X := X
% 0.70/1.08  end
% 0.70/1.08  permutation0:
% 0.70/1.08     0 ==> 1
% 0.70/1.08     1 ==> 0
% 0.70/1.08  end
% 0.70/1.08  
% 0.70/1.08  resolution: (54) {G1,W4,D2,L2,V1,M2}  { cdxcomp( X ), ! cUnsatisfiable( X )
% 0.70/1.08     }.
% 0.70/1.08  parent0[1]: (21) {G1,W4,D2,L2,V1,M1} R(7,18) { cdxcomp( X ), ! ce3( X ) }.
% 0.70/1.08  parent1[1]: (4) {G0,W4,D2,L2,V1,M1} I { ! cUnsatisfiable( X ), ce3( X ) }.
% 0.70/1.08  substitution0:
% 0.70/1.08     X := X
% 0.70/1.08  end
% 0.70/1.08  substitution1:
% 0.70/1.08     X := X
% 0.70/1.08  end
% 0.70/1.08  
% 0.70/1.08  subsumption: (23) {G2,W4,D2,L2,V1,M1} R(4,21) { ! cUnsatisfiable( X ), 
% 0.70/1.08    cdxcomp( X ) }.
% 0.70/1.08  parent0: (54) {G1,W4,D2,L2,V1,M2}  { cdxcomp( X ), ! cUnsatisfiable( X )
% 0.70/1.08     }.
% 0.70/1.08  substitution0:
% 0.70/1.08     X := X
% 0.70/1.08  end
% 0.70/1.08  permutation0:
% 0.70/1.08     0 ==> 1
% 0.70/1.08     1 ==> 0
% 0.70/1.08  end
% 0.70/1.08  
% 0.70/1.08  resolution: (55) {G1,W4,D2,L2,V1,M2}  { ! cd( X ), ! cdxcomp( X ) }.
% 0.70/1.08  parent0[1]: (10) {G0,W5,D2,L2,V2,M1} I { ! cd( X ), ! ra_Px1( X, Y ) }.
% 0.70/1.08  parent1[1]: (12) {G0,W6,D3,L2,V1,M1} I { ! cdxcomp( X ), ra_Px1( X, skol2( 
% 0.70/1.08    X ) ) }.
% 0.70/1.08  substitution0:
% 0.70/1.08     X := X
% 0.70/1.08     Y := skol2( X )
% 0.70/1.08  end
% 0.70/1.08  substitution1:
% 0.70/1.08     X := X
% 0.70/1.08  end
% 0.70/1.08  
% 0.70/1.08  subsumption: (27) {G1,W4,D2,L2,V1,M1} R(12,10) { ! cdxcomp( X ), ! cd( X )
% 0.70/1.08     }.
% 0.70/1.08  parent0: (55) {G1,W4,D2,L2,V1,M2}  { ! cd( X ), ! cdxcomp( X ) }.
% 0.70/1.08  substitution0:
% 0.70/1.08     X := X
% 0.70/1.08  end
% 0.70/1.08  permutation0:
% 0.70/1.08     0 ==> 1
% 0.70/1.08     1 ==> 0
% 0.70/1.08  end
% 0.70/1.08  
% 0.70/1.08  resolution: (56) {G2,W4,D2,L2,V1,M2}  { ! cdxcomp( X ), ! cUnsatisfiable( X
% 0.70/1.08     ) }.
% 0.70/1.08  parent0[1]: (27) {G1,W4,D2,L2,V1,M1} R(12,10) { ! cdxcomp( X ), ! cd( X )
% 0.70/1.08     }.
% 0.70/1.08  parent1[1]: (22) {G1,W4,D2,L2,V1,M1} R(5,19) { ! cUnsatisfiable( X ), cd( X
% 0.70/1.08     ) }.
% 0.70/1.08  substitution0:
% 0.70/1.08     X := X
% 0.70/1.08  end
% 0.70/1.08  substitution1:
% 0.70/1.08     X := X
% 0.70/1.08  end
% 0.70/1.08  
% 0.70/1.08  resolution: (57) {G3,W4,D2,L2,V1,M2}  { ! cUnsatisfiable( X ), ! 
% 0.70/1.08    cUnsatisfiable( X ) }.
% 0.70/1.08  parent0[0]: (56) {G2,W4,D2,L2,V1,M2}  { ! cdxcomp( X ), ! cUnsatisfiable( X
% 0.70/1.08     ) }.
% 0.70/1.08  parent1[1]: (23) {G2,W4,D2,L2,V1,M1} R(4,21) { ! cUnsatisfiable( X ), 
% 0.70/1.08    cdxcomp( X ) }.
% 0.70/1.08  substitution0:
% 0.70/1.08     X := X
% 0.70/1.08  end
% 0.70/1.08  substitution1:
% 0.70/1.08     X := X
% 0.70/1.08  end
% 0.70/1.08  
% 0.70/1.08  factor: (58) {G3,W2,D2,L1,V1,M1}  { ! cUnsatisfiable( X ) }.
% 0.70/1.08  parent0[0, 1]: (57) {G3,W4,D2,L2,V1,M2}  { ! cUnsatisfiable( X ), ! 
% 0.70/1.08    cUnsatisfiable( X ) }.
% 0.70/1.08  substitution0:
% 0.70/1.08     X := X
% 0.70/1.08  end
% 0.70/1.08  
% 0.70/1.08  subsumption: (28) {G3,W2,D2,L1,V1,M1} R(27,22);r(23) { ! cUnsatisfiable( X
% 0.70/1.08     ) }.
% 0.70/1.08  parent0: (58) {G3,W2,D2,L1,V1,M1}  { ! cUnsatisfiable( X ) }.
% 0.70/1.08  substitution0:
% 0.70/1.08     X := X
% 0.70/1.08  end
% 0.70/1.08  permutation0:
% 0.70/1.08     0 ==> 0
% 0.70/1.08  end
% 0.70/1.08  
% 0.70/1.08  resolution: (59) {G1,W0,D0,L0,V0,M0}  {  }.
% 0.70/1.08  parent0[0]: (28) {G3,W2,D2,L1,V1,M1} R(27,22);r(23) { ! cUnsatisfiable( X )
% 0.70/1.08     }.
% 0.70/1.08  parent1[0]: (20) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( 
% 0.70/1.08    i2003_11_14_17_22_17947 ) }.
% 0.70/1.08  substitution0:
% 0.70/1.08     X := i2003_11_14_17_22_17947
% 0.70/1.08  end
% 0.70/1.08  substitution1:
% 0.70/1.08  end
% 0.70/1.08  
% 0.70/1.08  subsumption: (29) {G4,W0,D0,L0,V0,M0} R(28,20) {  }.
% 0.70/1.08  parent0: (59) {G1,W0,D0,L0,V0,M0}  {  }.
% 0.70/1.08  substitution0:
% 0.70/1.08  end
% 0.70/1.08  permutation0:
% 0.70/1.08  end
% 0.70/1.08  
% 0.70/1.08  Proof check complete!
% 0.70/1.08  
% 0.70/1.08  Memory use:
% 0.70/1.08  
% 0.70/1.08  space for terms:        429
% 0.70/1.08  space for clauses:      1609
% 0.70/1.08  
% 0.70/1.08  
% 0.70/1.08  clauses generated:      37
% 0.70/1.08  clauses kept:           30
% 0.70/1.08  clauses selected:       28
% 0.70/1.08  clauses deleted:        0
% 0.70/1.08  clauses inuse deleted:  0
% 0.70/1.08  
% 0.70/1.08  subsentry:          0
% 0.70/1.08  literals s-matched: 0
% 0.70/1.08  literals matched:   0
% 0.70/1.08  full subsumption:   0
% 0.70/1.08  
% 0.70/1.08  checksum:           -562068743
% 0.70/1.08  
% 0.70/1.08  
% 0.70/1.08  Bliksem ended
%------------------------------------------------------------------------------