TSTP Solution File: KRS134+1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : KRS134+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n017.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 02:42:23 EDT 2022

% Result   : Theorem 0.72s 1.09s
% Output   : Refutation 0.72s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : KRS134+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n017.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
% 0.13/0.35  % DateTime : Tue Jun  7 11:38:32 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.72/1.09  *** allocated 10000 integers for termspace/termends
% 0.72/1.09  *** allocated 10000 integers for clauses
% 0.72/1.09  *** allocated 10000 integers for justifications
% 0.72/1.09  Bliksem 1.12
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  Automatic Strategy Selection
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  Clauses:
% 0.72/1.09  
% 0.72/1.09  { cowlThing( X ) }.
% 0.72/1.09  { ! cowlNothing( X ) }.
% 0.72/1.09  { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.72/1.09  { xsd_integer( X ), xsd_string( X ) }.
% 0.72/1.09  { ! rprop( Y, X ), cA( X ) }.
% 0.72/1.09  { alpha1, cowlThing( skol1 ) }.
% 0.72/1.09  { alpha1, rprop( skol1, skol4 ) }.
% 0.72/1.09  { alpha1, ! cA( skol4 ) }.
% 0.72/1.09  { ! alpha1, alpha2, alpha3 }.
% 0.72/1.09  { ! alpha2, alpha1 }.
% 0.72/1.09  { ! alpha3, alpha1 }.
% 0.72/1.09  { ! alpha3, alpha4( skol2 ), ! xsd_integer( skol2 ) }.
% 0.72/1.09  { ! alpha3, alpha4( skol2 ), ! xsd_string( skol2 ) }.
% 0.72/1.09  { ! alpha4( X ), alpha3 }.
% 0.72/1.09  { xsd_integer( X ), xsd_string( X ), alpha3 }.
% 0.72/1.09  { ! alpha4( X ), xsd_string( X ) }.
% 0.72/1.09  { ! alpha4( X ), xsd_integer( X ) }.
% 0.72/1.09  { ! xsd_string( X ), ! xsd_integer( X ), alpha4( X ) }.
% 0.72/1.09  { ! alpha2, ! cowlThing( skol3 ), cowlNothing( skol3 ) }.
% 0.72/1.09  { cowlThing( X ), alpha2 }.
% 0.72/1.09  { ! cowlNothing( X ), alpha2 }.
% 0.72/1.09  
% 0.72/1.09  percentage equality = 0.000000, percentage horn = 0.764706
% 0.72/1.09  This a non-horn, non-equality problem
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  Options Used:
% 0.72/1.09  
% 0.72/1.09  useres =            1
% 0.72/1.09  useparamod =        0
% 0.72/1.09  useeqrefl =         0
% 0.72/1.09  useeqfact =         0
% 0.72/1.09  usefactor =         1
% 0.72/1.09  usesimpsplitting =  0
% 0.72/1.09  usesimpdemod =      0
% 0.72/1.09  usesimpres =        3
% 0.72/1.09  
% 0.72/1.09  resimpinuse      =  1000
% 0.72/1.09  resimpclauses =     20000
% 0.72/1.09  substype =          standard
% 0.72/1.09  backwardsubs =      1
% 0.72/1.09  selectoldest =      5
% 0.72/1.09  
% 0.72/1.09  litorderings [0] =  split
% 0.72/1.09  litorderings [1] =  liftord
% 0.72/1.09  
% 0.72/1.09  termordering =      none
% 0.72/1.09  
% 0.72/1.09  litapriori =        1
% 0.72/1.09  termapriori =       0
% 0.72/1.09  litaposteriori =    0
% 0.72/1.09  termaposteriori =   0
% 0.72/1.09  demodaposteriori =  0
% 0.72/1.09  ordereqreflfact =   0
% 0.72/1.09  
% 0.72/1.09  litselect =         none
% 0.72/1.09  
% 0.72/1.09  maxweight =         15
% 0.72/1.09  maxdepth =          30000
% 0.72/1.09  maxlength =         115
% 0.72/1.09  maxnrvars =         195
% 0.72/1.09  excuselevel =       1
% 0.72/1.09  increasemaxweight = 1
% 0.72/1.09  
% 0.72/1.09  maxselected =       10000000
% 0.72/1.09  maxnrclauses =      10000000
% 0.72/1.09  
% 0.72/1.09  showgenerated =    0
% 0.72/1.09  showkept =         0
% 0.72/1.09  showselected =     0
% 0.72/1.09  showdeleted =      0
% 0.72/1.09  showresimp =       1
% 0.72/1.09  showstatus =       2000
% 0.72/1.09  
% 0.72/1.09  prologoutput =     0
% 0.72/1.09  nrgoals =          5000000
% 0.72/1.09  totalproof =       1
% 0.72/1.09  
% 0.72/1.09  Symbols occurring in the translation:
% 0.72/1.09  
% 0.72/1.09  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.72/1.09  .  [1, 2]      (w:1, o:26, a:1, s:1, b:0), 
% 0.72/1.09  !  [4, 1]      (w:0, o:15, a:1, s:1, b:0), 
% 0.72/1.09  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.72/1.09  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.72/1.09  cowlThing  [36, 1]      (w:1, o:20, a:1, s:1, b:0), 
% 0.72/1.09  cowlNothing  [37, 1]      (w:1, o:21, a:1, s:1, b:0), 
% 0.72/1.09  xsd_string  [38, 1]      (w:1, o:22, a:1, s:1, b:0), 
% 0.72/1.09  xsd_integer  [39, 1]      (w:1, o:23, a:1, s:1, b:0), 
% 0.72/1.09  rprop  [41, 2]      (w:1, o:50, a:1, s:1, b:0), 
% 0.72/1.09  cA  [42, 1]      (w:1, o:24, a:1, s:1, b:0), 
% 0.72/1.09  alpha1  [43, 0]      (w:1, o:8, a:1, s:1, b:0), 
% 0.72/1.09  alpha2  [44, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.72/1.09  alpha3  [45, 0]      (w:1, o:10, a:1, s:1, b:0), 
% 0.72/1.09  alpha4  [46, 1]      (w:1, o:25, a:1, s:1, b:0), 
% 0.72/1.09  skol1  [47, 0]      (w:1, o:11, a:1, s:1, b:0), 
% 0.72/1.09  skol2  [48, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 0.72/1.09  skol3  [49, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 0.72/1.09  skol4  [50, 0]      (w:1, o:14, a:1, s:1, b:0).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  Starting Search:
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  Bliksems!, er is een bewijs:
% 0.72/1.09  % SZS status Theorem
% 0.72/1.09  % SZS output start Refutation
% 0.72/1.09  
% 0.72/1.09  (0) {G0,W2,D2,L1,V1,M1} I { cowlThing( X ) }.
% 0.72/1.09  (1) {G0,W2,D2,L1,V1,M1} I { ! cowlNothing( X ) }.
% 0.72/1.09  (2) {G0,W4,D2,L2,V1,M1} I { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.72/1.09  (3) {G0,W4,D2,L2,V1,M1} I { xsd_string( X ), xsd_integer( X ) }.
% 0.72/1.09  (4) {G0,W5,D2,L2,V2,M1} I { cA( X ), ! rprop( Y, X ) }.
% 0.72/1.09  (5) {G0,W4,D2,L2,V0,M1} I { alpha1, rprop( skol1, skol4 ) }.
% 0.72/1.09  (6) {G0,W3,D2,L2,V0,M1} I { alpha1, ! cA( skol4 ) }.
% 0.72/1.09  (7) {G0,W3,D1,L3,V0,M1} I { alpha2, alpha3, ! alpha1 }.
% 0.72/1.09  (10) {G0,W5,D2,L3,V0,M1} I { alpha4( skol2 ), ! xsd_integer( skol2 ), ! 
% 0.72/1.09    alpha3 }.
% 0.72/1.09  (11) {G0,W5,D2,L3,V0,M1} I { alpha4( skol2 ), ! xsd_string( skol2 ), ! 
% 0.72/1.09    alpha3 }.
% 0.72/1.09  (13) {G0,W4,D2,L2,V1,M1} I { xsd_string( X ), ! alpha4( X ) }.
% 0.72/1.09  (14) {G0,W4,D2,L2,V1,M1} I { xsd_integer( X ), ! alpha4( X ) }.
% 0.72/1.09  (15) {G1,W3,D2,L2,V0,M1} I;r(0) { cowlNothing( skol3 ), ! alpha2 }.
% 0.72/1.09  (16) {G2,W1,D1,L1,V0,M1} S(15);r(1) { ! alpha2 }.
% 0.72/1.09  (17) {G1,W1,D1,L1,V0,M1} R(4,5);r(6) { alpha1 }.
% 0.72/1.09  (18) {G3,W1,D1,L1,V0,M1} R(17,7);r(16) { alpha3 }.
% 0.72/1.09  (19) {G4,W4,D2,L2,V0,M1} R(18,10) { ! xsd_integer( skol2 ), alpha4( skol2 )
% 0.72/1.09     }.
% 0.72/1.09  (20) {G5,W2,D2,L1,V0,M1} R(19,13);r(3) { xsd_string( skol2 ) }.
% 0.72/1.09  (21) {G6,W2,D2,L1,V0,M1} S(11);r(20);r(18) { alpha4( skol2 ) }.
% 0.72/1.09  (22) {G7,W2,D2,L1,V0,M1} R(21,14) { xsd_integer( skol2 ) }.
% 0.72/1.09  (23) {G8,W0,D0,L0,V0,M0} R(22,2);r(20) {  }.
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  % SZS output end Refutation
% 0.72/1.09  found a proof!
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  Unprocessed initial clauses:
% 0.72/1.09  
% 0.72/1.09  (25) {G0,W2,D2,L1,V1,M1}  { cowlThing( X ) }.
% 0.72/1.09  (26) {G0,W2,D2,L1,V1,M1}  { ! cowlNothing( X ) }.
% 0.72/1.09  (27) {G0,W4,D2,L2,V1,M2}  { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.72/1.09  (28) {G0,W4,D2,L2,V1,M2}  { xsd_integer( X ), xsd_string( X ) }.
% 0.72/1.09  (29) {G0,W5,D2,L2,V2,M2}  { ! rprop( Y, X ), cA( X ) }.
% 0.72/1.09  (30) {G0,W3,D2,L2,V0,M2}  { alpha1, cowlThing( skol1 ) }.
% 0.72/1.09  (31) {G0,W4,D2,L2,V0,M2}  { alpha1, rprop( skol1, skol4 ) }.
% 0.72/1.09  (32) {G0,W3,D2,L2,V0,M2}  { alpha1, ! cA( skol4 ) }.
% 0.72/1.09  (33) {G0,W3,D1,L3,V0,M3}  { ! alpha1, alpha2, alpha3 }.
% 0.72/1.09  (34) {G0,W2,D1,L2,V0,M2}  { ! alpha2, alpha1 }.
% 0.72/1.09  (35) {G0,W2,D1,L2,V0,M2}  { ! alpha3, alpha1 }.
% 0.72/1.09  (36) {G0,W5,D2,L3,V0,M3}  { ! alpha3, alpha4( skol2 ), ! xsd_integer( skol2
% 0.72/1.09     ) }.
% 0.72/1.09  (37) {G0,W5,D2,L3,V0,M3}  { ! alpha3, alpha4( skol2 ), ! xsd_string( skol2
% 0.72/1.09     ) }.
% 0.72/1.09  (38) {G0,W3,D2,L2,V1,M2}  { ! alpha4( X ), alpha3 }.
% 0.72/1.09  (39) {G0,W5,D2,L3,V1,M3}  { xsd_integer( X ), xsd_string( X ), alpha3 }.
% 0.72/1.09  (40) {G0,W4,D2,L2,V1,M2}  { ! alpha4( X ), xsd_string( X ) }.
% 0.72/1.09  (41) {G0,W4,D2,L2,V1,M2}  { ! alpha4( X ), xsd_integer( X ) }.
% 0.72/1.09  (42) {G0,W6,D2,L3,V1,M3}  { ! xsd_string( X ), ! xsd_integer( X ), alpha4( 
% 0.72/1.09    X ) }.
% 0.72/1.09  (43) {G0,W5,D2,L3,V0,M3}  { ! alpha2, ! cowlThing( skol3 ), cowlNothing( 
% 0.72/1.09    skol3 ) }.
% 0.72/1.09  (44) {G0,W3,D2,L2,V1,M2}  { cowlThing( X ), alpha2 }.
% 0.72/1.09  (45) {G0,W3,D2,L2,V1,M2}  { ! cowlNothing( X ), alpha2 }.
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  Total Proof:
% 0.72/1.09  
% 0.72/1.09  subsumption: (0) {G0,W2,D2,L1,V1,M1} I { cowlThing( X ) }.
% 0.72/1.09  parent0: (25) {G0,W2,D2,L1,V1,M1}  { cowlThing( X ) }.
% 0.72/1.09  substitution0:
% 0.72/1.09     X := X
% 0.72/1.09  end
% 0.72/1.09  permutation0:
% 0.72/1.09     0 ==> 0
% 0.72/1.09  end
% 0.72/1.09  
% 0.72/1.09  subsumption: (1) {G0,W2,D2,L1,V1,M1} I { ! cowlNothing( X ) }.
% 0.72/1.09  parent0: (26) {G0,W2,D2,L1,V1,M1}  { ! cowlNothing( X ) }.
% 0.72/1.09  substitution0:
% 0.72/1.09     X := X
% 0.72/1.09  end
% 0.72/1.09  permutation0:
% 0.72/1.09     0 ==> 0
% 0.72/1.09  end
% 0.72/1.09  
% 0.72/1.09  subsumption: (2) {G0,W4,D2,L2,V1,M1} I { ! xsd_string( X ), ! xsd_integer( 
% 0.72/1.09    X ) }.
% 0.72/1.09  parent0: (27) {G0,W4,D2,L2,V1,M2}  { ! xsd_string( X ), ! xsd_integer( X )
% 0.72/1.09     }.
% 0.72/1.09  substitution0:
% 0.72/1.09     X := X
% 0.72/1.09  end
% 0.72/1.09  permutation0:
% 0.72/1.09     0 ==> 0
% 0.72/1.09     1 ==> 1
% 0.72/1.09  end
% 0.72/1.09  
% 0.72/1.09  subsumption: (3) {G0,W4,D2,L2,V1,M1} I { xsd_string( X ), xsd_integer( X )
% 0.72/1.09     }.
% 0.72/1.09  parent0: (28) {G0,W4,D2,L2,V1,M2}  { xsd_integer( X ), xsd_string( X ) }.
% 0.72/1.09  substitution0:
% 0.72/1.09     X := X
% 0.72/1.09  end
% 0.72/1.09  permutation0:
% 0.72/1.09     0 ==> 1
% 0.72/1.09     1 ==> 0
% 0.72/1.09  end
% 0.72/1.09  
% 0.72/1.09  subsumption: (4) {G0,W5,D2,L2,V2,M1} I { cA( X ), ! rprop( Y, X ) }.
% 0.72/1.09  parent0: (29) {G0,W5,D2,L2,V2,M2}  { ! rprop( Y, X ), cA( X ) }.
% 0.72/1.09  substitution0:
% 0.72/1.09     X := X
% 0.72/1.09     Y := Y
% 0.72/1.09  end
% 0.72/1.09  permutation0:
% 0.72/1.09     0 ==> 1
% 0.72/1.09     1 ==> 0
% 0.72/1.09  end
% 0.72/1.09  
% 0.72/1.09  subsumption: (5) {G0,W4,D2,L2,V0,M1} I { alpha1, rprop( skol1, skol4 ) }.
% 0.72/1.09  parent0: (31) {G0,W4,D2,L2,V0,M2}  { alpha1, rprop( skol1, skol4 ) }.
% 0.72/1.09  substitution0:
% 0.72/1.09  end
% 0.72/1.09  permutation0:
% 0.72/1.09     0 ==> 0
% 0.72/1.09     1 ==> 1
% 0.72/1.09  end
% 0.72/1.09  
% 0.72/1.09  subsumption: (6) {G0,W3,D2,L2,V0,M1} I { alpha1, ! cA( skol4 ) }.
% 0.72/1.09  parent0: (32) {G0,W3,D2,L2,V0,M2}  { alpha1, ! cA( skol4 ) }.
% 0.72/1.09  substitution0:
% 0.72/1.09  end
% 0.72/1.09  permutation0:
% 0.72/1.09     0 ==> 0
% 0.72/1.09     1 ==> 1
% 0.72/1.09  end
% 0.72/1.09  
% 0.72/1.09  subsumption: (7) {G0,W3,D1,L3,V0,M1} I { alpha2, alpha3, ! alpha1 }.
% 0.72/1.09  parent0: (33) {G0,W3,D1,L3,V0,M3}  { ! alpha1, alpha2, alpha3 }.
% 0.72/1.09  substitution0:
% 0.72/1.09  end
% 0.72/1.09  permutation0:
% 0.72/1.09     0 ==> 2
% 0.72/1.09     1 ==> 0
% 0.72/1.09     2 ==> 1
% 0.72/1.09  end
% 0.72/1.09  
% 0.72/1.09  subsumption: (10) {G0,W5,D2,L3,V0,M1} I { alpha4( skol2 ), ! xsd_integer( 
% 0.72/1.09    skol2 ), ! alpha3 }.
% 0.72/1.09  parent0: (36) {G0,W5,D2,L3,V0,M3}  { ! alpha3, alpha4( skol2 ), ! 
% 0.72/1.09    xsd_integer( skol2 ) }.
% 0.72/1.09  substitution0:
% 0.72/1.09  end
% 0.72/1.09  permutation0:
% 0.72/1.09     0 ==> 2
% 0.72/1.09     1 ==> 0
% 0.72/1.09     2 ==> 1
% 0.72/1.09  end
% 0.72/1.09  
% 0.72/1.09  subsumption: (11) {G0,W5,D2,L3,V0,M1} I { alpha4( skol2 ), ! xsd_string( 
% 0.72/1.09    skol2 ), ! alpha3 }.
% 0.72/1.09  parent0: (37) {G0,W5,D2,L3,V0,M3}  { ! alpha3, alpha4( skol2 ), ! 
% 0.72/1.09    xsd_string( skol2 ) }.
% 0.72/1.09  substitution0:
% 0.72/1.09  end
% 0.72/1.09  permutation0:
% 0.72/1.09     0 ==> 2
% 0.72/1.09     1 ==> 0
% 0.72/1.09     2 ==> 1
% 0.72/1.09  end
% 0.72/1.09  
% 0.72/1.09  subsumption: (13) {G0,W4,D2,L2,V1,M1} I { xsd_string( X ), ! alpha4( X )
% 0.72/1.09     }.
% 0.72/1.09  parent0: (40) {G0,W4,D2,L2,V1,M2}  { ! alpha4( X ), xsd_string( X ) }.
% 0.72/1.09  substitution0:
% 0.72/1.09     X := X
% 0.72/1.09  end
% 0.72/1.09  permutation0:
% 0.72/1.09     0 ==> 1
% 0.72/1.09     1 ==> 0
% 0.72/1.09  end
% 0.72/1.09  
% 0.72/1.09  subsumption: (14) {G0,W4,D2,L2,V1,M1} I { xsd_integer( X ), ! alpha4( X )
% 0.72/1.09     }.
% 0.72/1.09  parent0: (41) {G0,W4,D2,L2,V1,M2}  { ! alpha4( X ), xsd_integer( X ) }.
% 0.72/1.09  substitution0:
% 0.72/1.09     X := X
% 0.72/1.09  end
% 0.72/1.09  permutation0:
% 0.72/1.09     0 ==> 1
% 0.72/1.09     1 ==> 0
% 0.72/1.09  end
% 0.72/1.09  
% 0.72/1.09  resolution: (46) {G1,W3,D2,L2,V0,M2}  { ! alpha2, cowlNothing( skol3 ) }.
% 0.72/1.09  parent0[1]: (43) {G0,W5,D2,L3,V0,M3}  { ! alpha2, ! cowlThing( skol3 ), 
% 0.72/1.09    cowlNothing( skol3 ) }.
% 0.72/1.09  parent1[0]: (0) {G0,W2,D2,L1,V1,M1} I { cowlThing( X ) }.
% 0.72/1.09  substitution0:
% 0.72/1.09  end
% 0.72/1.09  substitution1:
% 0.72/1.09     X := skol3
% 0.72/1.09  end
% 0.72/1.09  
% 0.72/1.09  subsumption: (15) {G1,W3,D2,L2,V0,M1} I;r(0) { cowlNothing( skol3 ), ! 
% 0.72/1.09    alpha2 }.
% 0.72/1.09  parent0: (46) {G1,W3,D2,L2,V0,M2}  { ! alpha2, cowlNothing( skol3 ) }.
% 0.72/1.09  substitution0:
% 0.72/1.09  end
% 0.72/1.09  permutation0:
% 0.72/1.09     0 ==> 1
% 0.72/1.09     1 ==> 0
% 0.72/1.09  end
% 0.72/1.09  
% 0.72/1.09  resolution: (47) {G1,W1,D1,L1,V0,M1}  { ! alpha2 }.
% 0.72/1.09  parent0[0]: (1) {G0,W2,D2,L1,V1,M1} I { ! cowlNothing( X ) }.
% 0.72/1.09  parent1[0]: (15) {G1,W3,D2,L2,V0,M1} I;r(0) { cowlNothing( skol3 ), ! 
% 0.72/1.09    alpha2 }.
% 0.72/1.09  substitution0:
% 0.72/1.09     X := skol3
% 0.72/1.09  end
% 0.72/1.09  substitution1:
% 0.72/1.09  end
% 0.72/1.09  
% 0.72/1.09  subsumption: (16) {G2,W1,D1,L1,V0,M1} S(15);r(1) { ! alpha2 }.
% 0.72/1.09  parent0: (47) {G1,W1,D1,L1,V0,M1}  { ! alpha2 }.
% 0.72/1.09  substitution0:
% 0.72/1.09  end
% 0.72/1.09  permutation0:
% 0.72/1.09     0 ==> 0
% 0.72/1.09  end
% 0.72/1.09  
% 0.72/1.09  resolution: (48) {G1,W3,D2,L2,V0,M2}  { cA( skol4 ), alpha1 }.
% 0.72/1.09  parent0[1]: (4) {G0,W5,D2,L2,V2,M1} I { cA( X ), ! rprop( Y, X ) }.
% 0.72/1.09  parent1[1]: (5) {G0,W4,D2,L2,V0,M1} I { alpha1, rprop( skol1, skol4 ) }.
% 0.72/1.09  substitution0:
% 0.72/1.09     X := skol4
% 0.72/1.09     Y := skol1
% 0.72/1.09  end
% 0.72/1.09  substitution1:
% 0.72/1.09  end
% 0.72/1.09  
% 0.72/1.09  resolution: (49) {G1,W2,D1,L2,V0,M2}  { alpha1, alpha1 }.
% 0.72/1.09  parent0[1]: (6) {G0,W3,D2,L2,V0,M1} I { alpha1, ! cA( skol4 ) }.
% 0.72/1.09  parent1[0]: (48) {G1,W3,D2,L2,V0,M2}  { cA( skol4 ), alpha1 }.
% 0.72/1.09  substitution0:
% 0.72/1.09  end
% 0.72/1.09  substitution1:
% 0.72/1.09  end
% 0.72/1.09  
% 0.72/1.09  factor: (50) {G1,W1,D1,L1,V0,M1}  { alpha1 }.
% 0.72/1.09  parent0[0, 1]: (49) {G1,W2,D1,L2,V0,M2}  { alpha1, alpha1 }.
% 0.72/1.09  substitution0:
% 0.72/1.09  end
% 0.72/1.09  
% 0.72/1.09  subsumption: (17) {G1,W1,D1,L1,V0,M1} R(4,5);r(6) { alpha1 }.
% 0.72/1.09  parent0: (50) {G1,W1,D1,L1,V0,M1}  { alpha1 }.
% 0.72/1.09  substitution0:
% 0.72/1.09  end
% 0.72/1.09  permutation0:
% 0.72/1.09     0 ==> 0
% 0.72/1.09  end
% 0.72/1.09  
% 0.72/1.09  resolution: (51) {G1,W2,D1,L2,V0,M2}  { alpha2, alpha3 }.
% 0.72/1.09  parent0[2]: (7) {G0,W3,D1,L3,V0,M1} I { alpha2, alpha3, ! alpha1 }.
% 0.72/1.09  parent1[0]: (17) {G1,W1,D1,L1,V0,M1} R(4,5);r(6) { alpha1 }.
% 0.72/1.09  substitution0:
% 0.72/1.09  end
% 0.72/1.09  substitution1:
% 0.72/1.09  end
% 0.72/1.09  
% 0.72/1.09  resolution: (52) {G2,W1,D1,L1,V0,M1}  { alpha3 }.
% 0.72/1.09  parent0[0]: (16) {G2,W1,D1,L1,V0,M1} S(15);r(1) { ! alpha2 }.
% 0.72/1.09  parent1[0]: (51) {G1,W2,D1,L2,V0,M2}  { alpha2, alpha3 }.
% 0.72/1.09  substitution0:
% 0.72/1.09  end
% 0.72/1.09  substitution1:
% 0.72/1.09  end
% 0.72/1.09  
% 0.72/1.09  subsumption: (18) {G3,W1,D1,L1,V0,M1} R(17,7);r(16) { alpha3 }.
% 0.72/1.09  parent0: (52) {G2,W1,D1,L1,V0,M1}  { alpha3 }.
% 0.72/1.09  substitution0:
% 0.72/1.09  end
% 0.72/1.09  permutation0:
% 0.72/1.09     0 ==> 0
% 0.72/1.09  end
% 0.72/1.09  
% 0.72/1.09  resolution: (53) {G1,W4,D2,L2,V0,M2}  { alpha4( skol2 ), ! xsd_integer( 
% 0.72/1.09    skol2 ) }.
% 0.72/1.09  parent0[2]: (10) {G0,W5,D2,L3,V0,M1} I { alpha4( skol2 ), ! xsd_integer( 
% 0.72/1.09    skol2 ), ! alpha3 }.
% 0.72/1.09  parent1[0]: (18) {G3,W1,D1,L1,V0,M1} R(17,7);r(16) { alpha3 }.
% 0.72/1.09  substitution0:
% 0.72/1.09  end
% 0.72/1.09  substitution1:
% 0.72/1.09  end
% 0.72/1.09  
% 0.72/1.09  subsumption: (19) {G4,W4,D2,L2,V0,M1} R(18,10) { ! xsd_integer( skol2 ), 
% 0.72/1.09    alpha4( skol2 ) }.
% 0.72/1.09  parent0: (53) {G1,W4,D2,L2,V0,M2}  { alpha4( skol2 ), ! xsd_integer( skol2
% 0.72/1.09     ) }.
% 0.72/1.09  substitution0:
% 0.72/1.09  end
% 0.72/1.09  permutation0:
% 0.72/1.09     0 ==> 1
% 0.72/1.09     1 ==> 0
% 0.72/1.09  end
% 0.72/1.09  
% 0.72/1.09  resolution: (54) {G1,W4,D2,L2,V0,M2}  { xsd_string( skol2 ), ! xsd_integer
% 0.72/1.09    ( skol2 ) }.
% 0.72/1.09  parent0[1]: (13) {G0,W4,D2,L2,V1,M1} I { xsd_string( X ), ! alpha4( X ) }.
% 0.72/1.09  parent1[1]: (19) {G4,W4,D2,L2,V0,M1} R(18,10) { ! xsd_integer( skol2 ), 
% 0.72/1.09    alpha4( skol2 ) }.
% 0.72/1.09  substitution0:
% 0.72/1.09     X := skol2
% 0.72/1.09  end
% 0.72/1.09  substitution1:
% 0.72/1.09  end
% 0.72/1.09  
% 0.72/1.09  resolution: (55) {G1,W4,D2,L2,V0,M2}  { xsd_string( skol2 ), xsd_string( 
% 0.72/1.09    skol2 ) }.
% 0.72/1.09  parent0[1]: (54) {G1,W4,D2,L2,V0,M2}  { xsd_string( skol2 ), ! xsd_integer
% 0.72/1.09    ( skol2 ) }.
% 0.72/1.09  parent1[1]: (3) {G0,W4,D2,L2,V1,M1} I { xsd_string( X ), xsd_integer( X )
% 0.72/1.09     }.
% 0.72/1.09  substitution0:
% 0.72/1.09  end
% 0.72/1.09  substitution1:
% 0.72/1.09     X := skol2
% 0.72/1.09  end
% 0.72/1.09  
% 0.72/1.09  factor: (56) {G1,W2,D2,L1,V0,M1}  { xsd_string( skol2 ) }.
% 0.72/1.09  parent0[0, 1]: (55) {G1,W4,D2,L2,V0,M2}  { xsd_string( skol2 ), xsd_string
% 0.72/1.09    ( skol2 ) }.
% 0.72/1.09  substitution0:
% 0.72/1.09  end
% 0.72/1.09  
% 0.72/1.09  subsumption: (20) {G5,W2,D2,L1,V0,M1} R(19,13);r(3) { xsd_string( skol2 )
% 0.72/1.09     }.
% 0.72/1.09  parent0: (56) {G1,W2,D2,L1,V0,M1}  { xsd_string( skol2 ) }.
% 0.72/1.09  substitution0:
% 0.72/1.09  end
% 0.72/1.09  permutation0:
% 0.72/1.09     0 ==> 0
% 0.72/1.09  end
% 0.72/1.09  
% 0.72/1.09  resolution: (57) {G1,W3,D2,L2,V0,M2}  { alpha4( skol2 ), ! alpha3 }.
% 0.72/1.09  parent0[1]: (11) {G0,W5,D2,L3,V0,M1} I { alpha4( skol2 ), ! xsd_string( 
% 0.72/1.09    skol2 ), ! alpha3 }.
% 0.72/1.09  parent1[0]: (20) {G5,W2,D2,L1,V0,M1} R(19,13);r(3) { xsd_string( skol2 )
% 0.72/1.09     }.
% 0.72/1.09  substitution0:
% 0.72/1.09  end
% 0.72/1.09  substitution1:
% 0.72/1.09  end
% 0.72/1.09  
% 0.72/1.09  resolution: (58) {G2,W2,D2,L1,V0,M1}  { alpha4( skol2 ) }.
% 0.72/1.09  parent0[1]: (57) {G1,W3,D2,L2,V0,M2}  { alpha4( skol2 ), ! alpha3 }.
% 0.72/1.09  parent1[0]: (18) {G3,W1,D1,L1,V0,M1} R(17,7);r(16) { alpha3 }.
% 0.72/1.09  substitution0:
% 0.72/1.09  end
% 0.72/1.09  substitution1:
% 0.72/1.09  end
% 0.72/1.09  
% 0.72/1.09  subsumption: (21) {G6,W2,D2,L1,V0,M1} S(11);r(20);r(18) { alpha4( skol2 )
% 0.72/1.09     }.
% 0.72/1.09  parent0: (58) {G2,W2,D2,L1,V0,M1}  { alpha4( skol2 ) }.
% 0.72/1.09  substitution0:
% 0.72/1.09  end
% 0.72/1.09  permutation0:
% 0.72/1.09     0 ==> 0
% 0.72/1.09  end
% 0.72/1.09  
% 0.72/1.09  resolution: (59) {G1,W2,D2,L1,V0,M1}  { xsd_integer( skol2 ) }.
% 0.72/1.09  parent0[1]: (14) {G0,W4,D2,L2,V1,M1} I { xsd_integer( X ), ! alpha4( X )
% 0.72/1.09     }.
% 0.72/1.09  parent1[0]: (21) {G6,W2,D2,L1,V0,M1} S(11);r(20);r(18) { alpha4( skol2 )
% 0.72/1.09     }.
% 0.72/1.09  substitution0:
% 0.72/1.09     X := skol2
% 0.72/1.09  end
% 0.72/1.09  substitution1:
% 0.72/1.09  end
% 0.72/1.09  
% 0.72/1.09  subsumption: (22) {G7,W2,D2,L1,V0,M1} R(21,14) { xsd_integer( skol2 ) }.
% 0.72/1.09  parent0: (59) {G1,W2,D2,L1,V0,M1}  { xsd_integer( skol2 ) }.
% 0.72/1.09  substitution0:
% 0.72/1.09  end
% 0.72/1.09  permutation0:
% 0.72/1.09     0 ==> 0
% 0.72/1.09  end
% 0.72/1.09  
% 0.72/1.09  resolution: (60) {G1,W2,D2,L1,V0,M1}  { ! xsd_string( skol2 ) }.
% 0.72/1.09  parent0[1]: (2) {G0,W4,D2,L2,V1,M1} I { ! xsd_string( X ), ! xsd_integer( X
% 0.72/1.09     ) }.
% 0.72/1.09  parent1[0]: (22) {G7,W2,D2,L1,V0,M1} R(21,14) { xsd_integer( skol2 ) }.
% 0.72/1.09  substitution0:
% 0.72/1.09     X := skol2
% 0.72/1.09  end
% 0.72/1.09  substitution1:
% 0.72/1.09  end
% 0.72/1.09  
% 0.72/1.09  resolution: (61) {G2,W0,D0,L0,V0,M0}  {  }.
% 0.72/1.09  parent0[0]: (60) {G1,W2,D2,L1,V0,M1}  { ! xsd_string( skol2 ) }.
% 0.72/1.09  parent1[0]: (20) {G5,W2,D2,L1,V0,M1} R(19,13);r(3) { xsd_string( skol2 )
% 0.72/1.09     }.
% 0.72/1.09  substitution0:
% 0.72/1.09  end
% 0.72/1.09  substitution1:
% 0.72/1.09  end
% 0.72/1.09  
% 0.72/1.09  subsumption: (23) {G8,W0,D0,L0,V0,M0} R(22,2);r(20) {  }.
% 0.72/1.09  parent0: (61) {G2,W0,D0,L0,V0,M0}  {  }.
% 0.72/1.09  substitution0:
% 0.72/1.09  end
% 0.72/1.09  permutation0:
% 0.72/1.09  end
% 0.72/1.09  
% 0.72/1.09  Proof check complete!
% 0.72/1.09  
% 0.72/1.09  Memory use:
% 0.72/1.09  
% 0.72/1.09  space for terms:        313
% 0.72/1.09  space for clauses:      1163
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  clauses generated:      35
% 0.72/1.09  clauses kept:           24
% 0.72/1.09  clauses selected:       21
% 0.72/1.09  clauses deleted:        2
% 0.72/1.09  clauses inuse deleted:  0
% 0.72/1.09  
% 0.72/1.09  subsentry:          9
% 0.72/1.09  literals s-matched: 9
% 0.72/1.09  literals matched:   9
% 0.72/1.09  full subsumption:   0
% 0.72/1.09  
% 0.72/1.09  checksum:           -2147248401
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  Bliksem ended
%------------------------------------------------------------------------------