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Bliksem---1.12.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : KRS170+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n021.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 02:42:32 EDT 2022

% Result   : Theorem 0.69s 1.10s
% Output   : Refutation 0.69s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : KRS170+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13  % Command  : bliksem %s
% 0.12/0.33  % Computer : n021.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % DateTime : Tue Jun  7 14:56:21 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.69/1.10  *** allocated 10000 integers for termspace/termends
% 0.69/1.10  *** allocated 10000 integers for clauses
% 0.69/1.10  *** allocated 10000 integers for justifications
% 0.69/1.10  Bliksem 1.12
% 0.69/1.10  
% 0.69/1.10  
% 0.69/1.10  Automatic Strategy Selection
% 0.69/1.10  
% 0.69/1.10  
% 0.69/1.10  Clauses:
% 0.69/1.10  
% 0.69/1.10  { cowlThing( X ) }.
% 0.69/1.10  { ! cowlNothing( X ) }.
% 0.69/1.10  { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.69/1.10  { xsd_integer( X ), xsd_string( X ) }.
% 0.69/1.10  { ! rhasLeader( X, Y ), rhasHead( X, Y ) }.
% 0.69/1.10  { ! rhasHead( X, Y ), rhasLeader( X, Y ) }.
% 0.69/1.10  { alpha1, rhasHead( skol1, skol5 ) }.
% 0.69/1.10  { alpha1, ! rhasLeader( skol1, skol5 ) }.
% 0.69/1.10  { ! alpha1, alpha2, rhasLeader( skol2, skol6 ) }.
% 0.69/1.10  { ! alpha1, alpha2, ! rhasHead( skol2, skol6 ) }.
% 0.69/1.10  { ! alpha2, alpha1 }.
% 0.69/1.10  { ! rhasLeader( X, Y ), rhasHead( X, Y ), alpha1 }.
% 0.69/1.10  { ! alpha2, alpha3, alpha4 }.
% 0.69/1.10  { ! alpha3, alpha2 }.
% 0.69/1.10  { ! alpha4, alpha2 }.
% 0.69/1.10  { ! alpha4, alpha5( skol3 ), ! xsd_integer( skol3 ) }.
% 0.69/1.10  { ! alpha4, alpha5( skol3 ), ! xsd_string( skol3 ) }.
% 0.69/1.10  { ! alpha5( X ), alpha4 }.
% 0.69/1.10  { xsd_integer( X ), xsd_string( X ), alpha4 }.
% 0.69/1.10  { ! alpha5( X ), xsd_string( X ) }.
% 0.69/1.10  { ! alpha5( X ), xsd_integer( X ) }.
% 0.69/1.10  { ! xsd_string( X ), ! xsd_integer( X ), alpha5( X ) }.
% 0.69/1.10  { ! alpha3, ! cowlThing( skol4 ), cowlNothing( skol4 ) }.
% 0.69/1.10  { cowlThing( X ), alpha3 }.
% 0.69/1.10  { ! cowlNothing( X ), alpha3 }.
% 0.69/1.10  
% 0.69/1.10  percentage equality = 0.000000, percentage horn = 0.800000
% 0.69/1.10  This a non-horn, non-equality problem
% 0.69/1.10  
% 0.69/1.10  
% 0.69/1.10  Options Used:
% 0.69/1.10  
% 0.69/1.10  useres =            1
% 0.69/1.10  useparamod =        0
% 0.69/1.10  useeqrefl =         0
% 0.69/1.10  useeqfact =         0
% 0.69/1.10  usefactor =         1
% 0.69/1.10  usesimpsplitting =  0
% 0.69/1.10  usesimpdemod =      0
% 0.69/1.10  usesimpres =        3
% 0.69/1.10  
% 0.69/1.10  resimpinuse      =  1000
% 0.69/1.10  resimpclauses =     20000
% 0.69/1.10  substype =          standard
% 0.69/1.10  backwardsubs =      1
% 0.69/1.10  selectoldest =      5
% 0.69/1.10  
% 0.69/1.10  litorderings [0] =  split
% 0.69/1.10  litorderings [1] =  liftord
% 0.69/1.10  
% 0.69/1.10  termordering =      none
% 0.69/1.10  
% 0.69/1.10  litapriori =        1
% 0.69/1.10  termapriori =       0
% 0.69/1.10  litaposteriori =    0
% 0.69/1.10  termaposteriori =   0
% 0.69/1.10  demodaposteriori =  0
% 0.69/1.10  ordereqreflfact =   0
% 0.69/1.10  
% 0.69/1.10  litselect =         none
% 0.69/1.10  
% 0.69/1.10  maxweight =         15
% 0.69/1.10  maxdepth =          30000
% 0.69/1.10  maxlength =         115
% 0.69/1.10  maxnrvars =         195
% 0.69/1.10  excuselevel =       1
% 0.69/1.10  increasemaxweight = 1
% 0.69/1.10  
% 0.69/1.10  maxselected =       10000000
% 0.69/1.10  maxnrclauses =      10000000
% 0.69/1.10  
% 0.69/1.10  showgenerated =    0
% 0.69/1.10  showkept =         0
% 0.69/1.10  showselected =     0
% 0.69/1.10  showdeleted =      0
% 0.69/1.10  showresimp =       1
% 0.69/1.10  showstatus =       2000
% 0.69/1.10  
% 0.69/1.10  prologoutput =     0
% 0.69/1.10  nrgoals =          5000000
% 0.69/1.10  totalproof =       1
% 0.69/1.10  
% 0.69/1.10  Symbols occurring in the translation:
% 0.69/1.10  
% 0.69/1.10  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.69/1.10  .  [1, 2]      (w:1, o:28, a:1, s:1, b:0), 
% 0.69/1.10  !  [4, 1]      (w:0, o:18, a:1, s:1, b:0), 
% 0.69/1.10  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.69/1.10  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.69/1.10  cowlThing  [36, 1]      (w:1, o:23, a:1, s:1, b:0), 
% 0.69/1.10  cowlNothing  [37, 1]      (w:1, o:24, a:1, s:1, b:0), 
% 0.69/1.10  xsd_string  [38, 1]      (w:1, o:25, a:1, s:1, b:0), 
% 0.69/1.10  xsd_integer  [39, 1]      (w:1, o:26, a:1, s:1, b:0), 
% 0.69/1.10  rhasLeader  [41, 2]      (w:1, o:52, a:1, s:1, b:0), 
% 0.69/1.10  rhasHead  [42, 2]      (w:1, o:53, a:1, s:1, b:0), 
% 0.69/1.10  alpha1  [43, 0]      (w:1, o:8, a:1, s:1, b:0), 
% 0.69/1.10  alpha2  [44, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.69/1.10  alpha3  [45, 0]      (w:1, o:10, a:1, s:1, b:0), 
% 0.69/1.10  alpha4  [46, 0]      (w:1, o:11, a:1, s:1, b:0), 
% 0.69/1.10  alpha5  [47, 1]      (w:1, o:27, a:1, s:1, b:0), 
% 0.69/1.10  skol1  [48, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 0.69/1.10  skol2  [49, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 0.69/1.10  skol3  [50, 0]      (w:1, o:14, a:1, s:1, b:0), 
% 0.69/1.10  skol4  [51, 0]      (w:1, o:15, a:1, s:1, b:0), 
% 0.69/1.10  skol5  [52, 0]      (w:1, o:16, a:1, s:1, b:0), 
% 0.69/1.10  skol6  [53, 0]      (w:1, o:17, a:1, s:1, b:0).
% 0.69/1.10  
% 0.69/1.10  
% 0.69/1.10  Starting Search:
% 0.69/1.10  
% 0.69/1.10  
% 0.69/1.10  Bliksems!, er is een bewijs:
% 0.69/1.10  % SZS status Theorem
% 0.69/1.10  % SZS output start Refutation
% 0.69/1.10  
% 0.69/1.10  (0) {G0,W2,D2,L1,V1,M1} I { cowlThing( X ) }.
% 0.69/1.10  (1) {G0,W2,D2,L1,V1,M1} I { ! cowlNothing( X ) }.
% 0.69/1.10  (2) {G0,W4,D2,L2,V1,M1} I { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.69/1.10  (3) {G0,W4,D2,L2,V1,M1} I { xsd_string( X ), xsd_integer( X ) }.
% 0.69/1.10  (4) {G0,W6,D2,L2,V2,M1} I { ! rhasLeader( X, Y ), rhasHead( X, Y ) }.
% 0.69/1.10  (5) {G0,W6,D2,L2,V2,M1} I { rhasLeader( X, Y ), ! rhasHead( X, Y ) }.
% 0.69/1.10  (6) {G0,W4,D2,L2,V0,M1} I { alpha1, rhasHead( skol1, skol5 ) }.
% 0.69/1.10  (7) {G0,W4,D2,L2,V0,M1} I { alpha1, ! rhasLeader( skol1, skol5 ) }.
% 0.69/1.10  (8) {G0,W5,D2,L3,V0,M1} I { alpha2, rhasLeader( skol2, skol6 ), ! alpha1
% 0.69/1.10     }.
% 0.69/1.10  (9) {G0,W5,D2,L3,V0,M1} I { alpha2, ! rhasHead( skol2, skol6 ), ! alpha1
% 0.69/1.10     }.
% 0.69/1.10  (11) {G0,W3,D1,L3,V0,M1} I { alpha3, alpha4, ! alpha2 }.
% 0.69/1.10  (14) {G0,W5,D2,L3,V0,M1} I { alpha5( skol3 ), ! xsd_integer( skol3 ), ! 
% 0.69/1.10    alpha4 }.
% 0.69/1.10  (15) {G0,W5,D2,L3,V0,M1} I { alpha5( skol3 ), ! xsd_string( skol3 ), ! 
% 0.69/1.10    alpha4 }.
% 0.69/1.10  (17) {G0,W4,D2,L2,V1,M1} I { xsd_string( X ), ! alpha5( X ) }.
% 0.69/1.10  (18) {G0,W4,D2,L2,V1,M1} I { xsd_integer( X ), ! alpha5( X ) }.
% 0.69/1.10  (19) {G1,W3,D2,L2,V0,M1} I;r(0) { cowlNothing( skol4 ), ! alpha3 }.
% 0.69/1.10  (20) {G2,W1,D1,L1,V0,M1} S(19);r(1) { ! alpha3 }.
% 0.69/1.10  (21) {G1,W1,D1,L1,V0,M1} R(5,6);r(7) { alpha1 }.
% 0.69/1.10  (22) {G2,W4,D2,L2,V0,M1} R(21,8) { alpha2, rhasLeader( skol2, skol6 ) }.
% 0.69/1.10  (23) {G2,W4,D2,L2,V0,M1} R(21,9) { alpha2, ! rhasHead( skol2, skol6 ) }.
% 0.69/1.10  (24) {G3,W1,D1,L1,V0,M1} R(23,4);r(22) { alpha2 }.
% 0.69/1.10  (25) {G4,W1,D1,L1,V0,M1} R(24,11);r(20) { alpha4 }.
% 0.69/1.10  (26) {G5,W4,D2,L2,V0,M1} R(25,14) { ! xsd_integer( skol3 ), alpha5( skol3 )
% 0.69/1.10     }.
% 0.69/1.10  (27) {G5,W4,D2,L2,V0,M1} R(25,15) { ! xsd_string( skol3 ), alpha5( skol3 )
% 0.69/1.10     }.
% 0.69/1.10  (28) {G6,W2,D2,L1,V0,M1} R(26,17);r(3) { xsd_string( skol3 ) }.
% 0.69/1.10  (29) {G7,W2,D2,L1,V0,M1} S(27);r(28) { alpha5( skol3 ) }.
% 0.69/1.10  (30) {G8,W2,D2,L1,V0,M1} R(29,18) { xsd_integer( skol3 ) }.
% 0.69/1.10  (31) {G9,W0,D0,L0,V0,M0} R(30,2);r(28) {  }.
% 0.69/1.10  
% 0.69/1.10  
% 0.69/1.10  % SZS output end Refutation
% 0.69/1.10  found a proof!
% 0.69/1.10  
% 0.69/1.10  
% 0.69/1.10  Unprocessed initial clauses:
% 0.69/1.10  
% 0.69/1.10  (33) {G0,W2,D2,L1,V1,M1}  { cowlThing( X ) }.
% 0.69/1.10  (34) {G0,W2,D2,L1,V1,M1}  { ! cowlNothing( X ) }.
% 0.69/1.10  (35) {G0,W4,D2,L2,V1,M2}  { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.69/1.10  (36) {G0,W4,D2,L2,V1,M2}  { xsd_integer( X ), xsd_string( X ) }.
% 0.69/1.10  (37) {G0,W6,D2,L2,V2,M2}  { ! rhasLeader( X, Y ), rhasHead( X, Y ) }.
% 0.69/1.10  (38) {G0,W6,D2,L2,V2,M2}  { ! rhasHead( X, Y ), rhasLeader( X, Y ) }.
% 0.69/1.10  (39) {G0,W4,D2,L2,V0,M2}  { alpha1, rhasHead( skol1, skol5 ) }.
% 0.69/1.10  (40) {G0,W4,D2,L2,V0,M2}  { alpha1, ! rhasLeader( skol1, skol5 ) }.
% 0.69/1.10  (41) {G0,W5,D2,L3,V0,M3}  { ! alpha1, alpha2, rhasLeader( skol2, skol6 )
% 0.69/1.10     }.
% 0.69/1.10  (42) {G0,W5,D2,L3,V0,M3}  { ! alpha1, alpha2, ! rhasHead( skol2, skol6 )
% 0.69/1.10     }.
% 0.69/1.10  (43) {G0,W2,D1,L2,V0,M2}  { ! alpha2, alpha1 }.
% 0.69/1.10  (44) {G0,W7,D2,L3,V2,M3}  { ! rhasLeader( X, Y ), rhasHead( X, Y ), alpha1
% 0.69/1.10     }.
% 0.69/1.10  (45) {G0,W3,D1,L3,V0,M3}  { ! alpha2, alpha3, alpha4 }.
% 0.69/1.10  (46) {G0,W2,D1,L2,V0,M2}  { ! alpha3, alpha2 }.
% 0.69/1.10  (47) {G0,W2,D1,L2,V0,M2}  { ! alpha4, alpha2 }.
% 0.69/1.10  (48) {G0,W5,D2,L3,V0,M3}  { ! alpha4, alpha5( skol3 ), ! xsd_integer( skol3
% 0.69/1.10     ) }.
% 0.69/1.10  (49) {G0,W5,D2,L3,V0,M3}  { ! alpha4, alpha5( skol3 ), ! xsd_string( skol3
% 0.69/1.10     ) }.
% 0.69/1.10  (50) {G0,W3,D2,L2,V1,M2}  { ! alpha5( X ), alpha4 }.
% 0.69/1.10  (51) {G0,W5,D2,L3,V1,M3}  { xsd_integer( X ), xsd_string( X ), alpha4 }.
% 0.69/1.10  (52) {G0,W4,D2,L2,V1,M2}  { ! alpha5( X ), xsd_string( X ) }.
% 0.69/1.10  (53) {G0,W4,D2,L2,V1,M2}  { ! alpha5( X ), xsd_integer( X ) }.
% 0.69/1.10  (54) {G0,W6,D2,L3,V1,M3}  { ! xsd_string( X ), ! xsd_integer( X ), alpha5( 
% 0.69/1.10    X ) }.
% 0.69/1.10  (55) {G0,W5,D2,L3,V0,M3}  { ! alpha3, ! cowlThing( skol4 ), cowlNothing( 
% 0.69/1.10    skol4 ) }.
% 0.69/1.10  (56) {G0,W3,D2,L2,V1,M2}  { cowlThing( X ), alpha3 }.
% 0.69/1.10  (57) {G0,W3,D2,L2,V1,M2}  { ! cowlNothing( X ), alpha3 }.
% 0.69/1.10  
% 0.69/1.10  
% 0.69/1.10  Total Proof:
% 0.69/1.10  
% 0.69/1.10  subsumption: (0) {G0,W2,D2,L1,V1,M1} I { cowlThing( X ) }.
% 0.69/1.10  parent0: (33) {G0,W2,D2,L1,V1,M1}  { cowlThing( X ) }.
% 0.69/1.10  substitution0:
% 0.69/1.10     X := X
% 0.69/1.10  end
% 0.69/1.10  permutation0:
% 0.69/1.10     0 ==> 0
% 0.69/1.10  end
% 0.69/1.10  
% 0.69/1.10  subsumption: (1) {G0,W2,D2,L1,V1,M1} I { ! cowlNothing( X ) }.
% 0.69/1.10  parent0: (34) {G0,W2,D2,L1,V1,M1}  { ! cowlNothing( X ) }.
% 0.69/1.10  substitution0:
% 0.69/1.10     X := X
% 0.69/1.10  end
% 0.69/1.10  permutation0:
% 0.69/1.10     0 ==> 0
% 0.69/1.10  end
% 0.69/1.10  
% 0.69/1.10  subsumption: (2) {G0,W4,D2,L2,V1,M1} I { ! xsd_string( X ), ! xsd_integer( 
% 0.69/1.10    X ) }.
% 0.69/1.10  parent0: (35) {G0,W4,D2,L2,V1,M2}  { ! xsd_string( X ), ! xsd_integer( X )
% 0.69/1.10     }.
% 0.69/1.10  substitution0:
% 0.69/1.10     X := X
% 0.69/1.10  end
% 0.69/1.10  permutation0:
% 0.69/1.10     0 ==> 0
% 0.69/1.10     1 ==> 1
% 0.69/1.10  end
% 0.69/1.10  
% 0.69/1.10  subsumption: (3) {G0,W4,D2,L2,V1,M1} I { xsd_string( X ), xsd_integer( X )
% 0.69/1.10     }.
% 0.69/1.10  parent0: (36) {G0,W4,D2,L2,V1,M2}  { xsd_integer( X ), xsd_string( X ) }.
% 0.69/1.10  substitution0:
% 0.69/1.10     X := X
% 0.69/1.10  end
% 0.69/1.10  permutation0:
% 0.69/1.10     0 ==> 1
% 0.69/1.10     1 ==> 0
% 0.69/1.10  end
% 0.69/1.10  
% 0.69/1.10  subsumption: (4) {G0,W6,D2,L2,V2,M1} I { ! rhasLeader( X, Y ), rhasHead( X
% 0.69/1.10    , Y ) }.
% 0.69/1.10  parent0: (37) {G0,W6,D2,L2,V2,M2}  { ! rhasLeader( X, Y ), rhasHead( X, Y )
% 0.69/1.10     }.
% 0.69/1.10  substitution0:
% 0.69/1.10     X := X
% 0.69/1.10     Y := Y
% 0.69/1.10  end
% 0.69/1.10  permutation0:
% 0.69/1.10     0 ==> 0
% 0.69/1.10     1 ==> 1
% 0.69/1.10  end
% 0.69/1.10  
% 0.69/1.10  subsumption: (5) {G0,W6,D2,L2,V2,M1} I { rhasLeader( X, Y ), ! rhasHead( X
% 0.69/1.10    , Y ) }.
% 0.69/1.10  parent0: (38) {G0,W6,D2,L2,V2,M2}  { ! rhasHead( X, Y ), rhasLeader( X, Y )
% 0.69/1.10     }.
% 0.69/1.10  substitution0:
% 0.69/1.10     X := X
% 0.69/1.10     Y := Y
% 0.69/1.10  end
% 0.69/1.10  permutation0:
% 0.69/1.10     0 ==> 1
% 0.69/1.10     1 ==> 0
% 0.69/1.10  end
% 0.69/1.10  
% 0.69/1.10  subsumption: (6) {G0,W4,D2,L2,V0,M1} I { alpha1, rhasHead( skol1, skol5 )
% 0.69/1.10     }.
% 0.69/1.10  parent0: (39) {G0,W4,D2,L2,V0,M2}  { alpha1, rhasHead( skol1, skol5 ) }.
% 0.69/1.10  substitution0:
% 0.69/1.10  end
% 0.69/1.10  permutation0:
% 0.69/1.10     0 ==> 0
% 0.69/1.10     1 ==> 1
% 0.69/1.10  end
% 0.69/1.10  
% 0.69/1.10  subsumption: (7) {G0,W4,D2,L2,V0,M1} I { alpha1, ! rhasLeader( skol1, skol5
% 0.69/1.10     ) }.
% 0.69/1.10  parent0: (40) {G0,W4,D2,L2,V0,M2}  { alpha1, ! rhasLeader( skol1, skol5 )
% 0.69/1.10     }.
% 0.69/1.10  substitution0:
% 0.69/1.10  end
% 0.69/1.10  permutation0:
% 0.69/1.10     0 ==> 0
% 0.69/1.10     1 ==> 1
% 0.69/1.10  end
% 0.69/1.10  
% 0.69/1.10  subsumption: (8) {G0,W5,D2,L3,V0,M1} I { alpha2, rhasLeader( skol2, skol6 )
% 0.69/1.10    , ! alpha1 }.
% 0.69/1.10  parent0: (41) {G0,W5,D2,L3,V0,M3}  { ! alpha1, alpha2, rhasLeader( skol2, 
% 0.69/1.10    skol6 ) }.
% 0.69/1.10  substitution0:
% 0.69/1.10  end
% 0.69/1.10  permutation0:
% 0.69/1.10     0 ==> 2
% 0.69/1.10     1 ==> 0
% 0.69/1.10     2 ==> 1
% 0.69/1.10  end
% 0.69/1.10  
% 0.69/1.10  subsumption: (9) {G0,W5,D2,L3,V0,M1} I { alpha2, ! rhasHead( skol2, skol6 )
% 0.69/1.10    , ! alpha1 }.
% 0.69/1.10  parent0: (42) {G0,W5,D2,L3,V0,M3}  { ! alpha1, alpha2, ! rhasHead( skol2, 
% 0.69/1.10    skol6 ) }.
% 0.69/1.10  substitution0:
% 0.69/1.10  end
% 0.69/1.10  permutation0:
% 0.69/1.10     0 ==> 2
% 0.69/1.10     1 ==> 0
% 0.69/1.10     2 ==> 1
% 0.69/1.10  end
% 0.69/1.10  
% 0.69/1.10  subsumption: (11) {G0,W3,D1,L3,V0,M1} I { alpha3, alpha4, ! alpha2 }.
% 0.69/1.10  parent0: (45) {G0,W3,D1,L3,V0,M3}  { ! alpha2, alpha3, alpha4 }.
% 0.69/1.10  substitution0:
% 0.69/1.10  end
% 0.69/1.10  permutation0:
% 0.69/1.10     0 ==> 2
% 0.69/1.10     1 ==> 0
% 0.69/1.10     2 ==> 1
% 0.69/1.10  end
% 0.69/1.10  
% 0.69/1.10  subsumption: (14) {G0,W5,D2,L3,V0,M1} I { alpha5( skol3 ), ! xsd_integer( 
% 0.69/1.10    skol3 ), ! alpha4 }.
% 0.69/1.10  parent0: (48) {G0,W5,D2,L3,V0,M3}  { ! alpha4, alpha5( skol3 ), ! 
% 0.69/1.10    xsd_integer( skol3 ) }.
% 0.69/1.10  substitution0:
% 0.69/1.10  end
% 0.69/1.10  permutation0:
% 0.69/1.10     0 ==> 2
% 0.69/1.10     1 ==> 0
% 0.69/1.10     2 ==> 1
% 0.69/1.10  end
% 0.69/1.10  
% 0.69/1.10  subsumption: (15) {G0,W5,D2,L3,V0,M1} I { alpha5( skol3 ), ! xsd_string( 
% 0.69/1.10    skol3 ), ! alpha4 }.
% 0.69/1.10  parent0: (49) {G0,W5,D2,L3,V0,M3}  { ! alpha4, alpha5( skol3 ), ! 
% 0.69/1.10    xsd_string( skol3 ) }.
% 0.69/1.10  substitution0:
% 0.69/1.10  end
% 0.69/1.10  permutation0:
% 0.69/1.10     0 ==> 2
% 0.69/1.10     1 ==> 0
% 0.69/1.10     2 ==> 1
% 0.69/1.10  end
% 0.69/1.10  
% 0.69/1.10  subsumption: (17) {G0,W4,D2,L2,V1,M1} I { xsd_string( X ), ! alpha5( X )
% 0.69/1.10     }.
% 0.69/1.10  parent0: (52) {G0,W4,D2,L2,V1,M2}  { ! alpha5( X ), xsd_string( X ) }.
% 0.69/1.10  substitution0:
% 0.69/1.10     X := X
% 0.69/1.10  end
% 0.69/1.10  permutation0:
% 0.69/1.10     0 ==> 1
% 0.69/1.10     1 ==> 0
% 0.69/1.10  end
% 0.69/1.10  
% 0.69/1.10  subsumption: (18) {G0,W4,D2,L2,V1,M1} I { xsd_integer( X ), ! alpha5( X )
% 0.69/1.10     }.
% 0.69/1.10  parent0: (53) {G0,W4,D2,L2,V1,M2}  { ! alpha5( X ), xsd_integer( X ) }.
% 0.69/1.10  substitution0:
% 0.69/1.10     X := X
% 0.69/1.10  end
% 0.69/1.10  permutation0:
% 0.69/1.10     0 ==> 1
% 0.69/1.10     1 ==> 0
% 0.69/1.10  end
% 0.69/1.10  
% 0.69/1.10  resolution: (58) {G1,W3,D2,L2,V0,M2}  { ! alpha3, cowlNothing( skol4 ) }.
% 0.69/1.10  parent0[1]: (55) {G0,W5,D2,L3,V0,M3}  { ! alpha3, ! cowlThing( skol4 ), 
% 0.69/1.10    cowlNothing( skol4 ) }.
% 0.69/1.10  parent1[0]: (0) {G0,W2,D2,L1,V1,M1} I { cowlThing( X ) }.
% 0.69/1.10  substitution0:
% 0.69/1.10  end
% 0.69/1.10  substitution1:
% 0.69/1.10     X := skol4
% 0.69/1.10  end
% 0.69/1.10  
% 0.69/1.10  subsumption: (19) {G1,W3,D2,L2,V0,M1} I;r(0) { cowlNothing( skol4 ), ! 
% 0.69/1.10    alpha3 }.
% 0.69/1.10  parent0: (58) {G1,W3,D2,L2,V0,M2}  { ! alpha3, cowlNothing( skol4 ) }.
% 0.69/1.10  substitution0:
% 0.69/1.10  end
% 0.69/1.10  permutation0:
% 0.69/1.10     0 ==> 1
% 0.69/1.10     1 ==> 0
% 0.69/1.10  end
% 0.69/1.10  
% 0.69/1.10  resolution: (59) {G1,W1,D1,L1,V0,M1}  { ! alpha3 }.
% 0.69/1.10  parent0[0]: (1) {G0,W2,D2,L1,V1,M1} I { ! cowlNothing( X ) }.
% 0.69/1.10  parent1[0]: (19) {G1,W3,D2,L2,V0,M1} I;r(0) { cowlNothing( skol4 ), ! 
% 0.69/1.10    alpha3 }.
% 0.69/1.10  substitution0:
% 0.69/1.10     X := skol4
% 0.69/1.10  end
% 0.69/1.10  substitution1:
% 0.69/1.10  end
% 0.69/1.10  
% 0.69/1.10  subsumption: (20) {G2,W1,D1,L1,V0,M1} S(19);r(1) { ! alpha3 }.
% 0.69/1.10  parent0: (59) {G1,W1,D1,L1,V0,M1}  { ! alpha3 }.
% 0.69/1.10  substitution0:
% 0.69/1.10  end
% 0.69/1.10  permutation0:
% 0.69/1.10     0 ==> 0
% 0.69/1.10  end
% 0.69/1.10  
% 0.69/1.10  resolution: (60) {G1,W4,D2,L2,V0,M2}  { rhasLeader( skol1, skol5 ), alpha1
% 0.69/1.10     }.
% 0.69/1.10  parent0[1]: (5) {G0,W6,D2,L2,V2,M1} I { rhasLeader( X, Y ), ! rhasHead( X, 
% 0.69/1.10    Y ) }.
% 0.69/1.10  parent1[1]: (6) {G0,W4,D2,L2,V0,M1} I { alpha1, rhasHead( skol1, skol5 )
% 0.69/1.10     }.
% 0.69/1.10  substitution0:
% 0.69/1.10     X := skol1
% 0.69/1.10     Y := skol5
% 0.69/1.10  end
% 0.69/1.10  substitution1:
% 0.69/1.10  end
% 0.69/1.10  
% 0.69/1.10  resolution: (61) {G1,W2,D1,L2,V0,M2}  { alpha1, alpha1 }.
% 0.69/1.10  parent0[1]: (7) {G0,W4,D2,L2,V0,M1} I { alpha1, ! rhasLeader( skol1, skol5
% 0.69/1.10     ) }.
% 0.69/1.10  parent1[0]: (60) {G1,W4,D2,L2,V0,M2}  { rhasLeader( skol1, skol5 ), alpha1
% 0.69/1.10     }.
% 0.69/1.10  substitution0:
% 0.69/1.10  end
% 0.69/1.10  substitution1:
% 0.69/1.10  end
% 0.69/1.10  
% 0.69/1.10  factor: (62) {G1,W1,D1,L1,V0,M1}  { alpha1 }.
% 0.69/1.10  parent0[0, 1]: (61) {G1,W2,D1,L2,V0,M2}  { alpha1, alpha1 }.
% 0.69/1.10  substitution0:
% 0.69/1.10  end
% 0.69/1.10  
% 0.69/1.10  subsumption: (21) {G1,W1,D1,L1,V0,M1} R(5,6);r(7) { alpha1 }.
% 0.69/1.10  parent0: (62) {G1,W1,D1,L1,V0,M1}  { alpha1 }.
% 0.69/1.10  substitution0:
% 0.69/1.10  end
% 0.69/1.10  permutation0:
% 0.69/1.10     0 ==> 0
% 0.69/1.10  end
% 0.69/1.10  
% 0.69/1.10  resolution: (63) {G1,W4,D2,L2,V0,M2}  { alpha2, rhasLeader( skol2, skol6 )
% 0.69/1.10     }.
% 0.69/1.10  parent0[2]: (8) {G0,W5,D2,L3,V0,M1} I { alpha2, rhasLeader( skol2, skol6 )
% 0.69/1.10    , ! alpha1 }.
% 0.69/1.10  parent1[0]: (21) {G1,W1,D1,L1,V0,M1} R(5,6);r(7) { alpha1 }.
% 0.69/1.10  substitution0:
% 0.69/1.10  end
% 0.69/1.10  substitution1:
% 0.69/1.10  end
% 0.69/1.10  
% 0.69/1.10  subsumption: (22) {G2,W4,D2,L2,V0,M1} R(21,8) { alpha2, rhasLeader( skol2, 
% 0.69/1.10    skol6 ) }.
% 0.69/1.10  parent0: (63) {G1,W4,D2,L2,V0,M2}  { alpha2, rhasLeader( skol2, skol6 ) }.
% 0.69/1.10  substitution0:
% 0.69/1.10  end
% 0.69/1.10  permutation0:
% 0.69/1.10     0 ==> 0
% 0.69/1.10     1 ==> 1
% 0.69/1.10  end
% 0.69/1.10  
% 0.69/1.10  resolution: (64) {G1,W4,D2,L2,V0,M2}  { alpha2, ! rhasHead( skol2, skol6 )
% 0.69/1.10     }.
% 0.69/1.10  parent0[2]: (9) {G0,W5,D2,L3,V0,M1} I { alpha2, ! rhasHead( skol2, skol6 )
% 0.69/1.10    , ! alpha1 }.
% 0.69/1.10  parent1[0]: (21) {G1,W1,D1,L1,V0,M1} R(5,6);r(7) { alpha1 }.
% 0.69/1.10  substitution0:
% 0.69/1.10  end
% 0.69/1.10  substitution1:
% 0.69/1.10  end
% 0.69/1.10  
% 0.69/1.10  subsumption: (23) {G2,W4,D2,L2,V0,M1} R(21,9) { alpha2, ! rhasHead( skol2, 
% 0.69/1.10    skol6 ) }.
% 0.69/1.10  parent0: (64) {G1,W4,D2,L2,V0,M2}  { alpha2, ! rhasHead( skol2, skol6 ) }.
% 0.69/1.10  substitution0:
% 0.69/1.10  end
% 0.69/1.10  permutation0:
% 0.69/1.10     0 ==> 0
% 0.69/1.10     1 ==> 1
% 0.69/1.10  end
% 0.69/1.10  
% 0.69/1.10  resolution: (65) {G1,W4,D2,L2,V0,M2}  { alpha2, ! rhasLeader( skol2, skol6
% 0.69/1.10     ) }.
% 0.69/1.10  parent0[1]: (23) {G2,W4,D2,L2,V0,M1} R(21,9) { alpha2, ! rhasHead( skol2, 
% 0.69/1.10    skol6 ) }.
% 0.69/1.10  parent1[1]: (4) {G0,W6,D2,L2,V2,M1} I { ! rhasLeader( X, Y ), rhasHead( X, 
% 0.69/1.10    Y ) }.
% 0.69/1.10  substitution0:
% 0.69/1.10  end
% 0.69/1.10  substitution1:
% 0.69/1.10     X := skol2
% 0.69/1.10     Y := skol6
% 0.69/1.10  end
% 0.69/1.10  
% 0.69/1.10  resolution: (66) {G2,W2,D1,L2,V0,M2}  { alpha2, alpha2 }.
% 0.69/1.10  parent0[1]: (65) {G1,W4,D2,L2,V0,M2}  { alpha2, ! rhasLeader( skol2, skol6
% 0.69/1.10     ) }.
% 0.69/1.10  parent1[1]: (22) {G2,W4,D2,L2,V0,M1} R(21,8) { alpha2, rhasLeader( skol2, 
% 0.69/1.10    skol6 ) }.
% 0.69/1.10  substitution0:
% 0.69/1.10  end
% 0.69/1.10  substitution1:
% 0.69/1.10  end
% 0.69/1.10  
% 0.69/1.10  factor: (67) {G2,W1,D1,L1,V0,M1}  { alpha2 }.
% 0.69/1.10  parent0[0, 1]: (66) {G2,W2,D1,L2,V0,M2}  { alpha2, alpha2 }.
% 0.69/1.10  substitution0:
% 0.69/1.10  end
% 0.69/1.10  
% 0.69/1.10  subsumption: (24) {G3,W1,D1,L1,V0,M1} R(23,4);r(22) { alpha2 }.
% 0.69/1.10  parent0: (67) {G2,W1,D1,L1,V0,M1}  { alpha2 }.
% 0.69/1.10  substitution0:
% 0.69/1.10  end
% 0.69/1.10  permutation0:
% 0.69/1.10     0 ==> 0
% 0.69/1.10  end
% 0.69/1.10  
% 0.69/1.10  resolution: (68) {G1,W2,D1,L2,V0,M2}  { alpha3, alpha4 }.
% 0.69/1.10  parent0[2]: (11) {G0,W3,D1,L3,V0,M1} I { alpha3, alpha4, ! alpha2 }.
% 0.69/1.10  parent1[0]: (24) {G3,W1,D1,L1,V0,M1} R(23,4);r(22) { alpha2 }.
% 0.69/1.10  substitution0:
% 0.69/1.10  end
% 0.69/1.10  substitution1:
% 0.69/1.10  end
% 0.69/1.10  
% 0.69/1.10  resolution: (69) {G2,W1,D1,L1,V0,M1}  { alpha4 }.
% 0.69/1.10  parent0[0]: (20) {G2,W1,D1,L1,V0,M1} S(19);r(1) { ! alpha3 }.
% 0.69/1.10  parent1[0]: (68) {G1,W2,D1,L2,V0,M2}  { alpha3, alpha4 }.
% 0.69/1.10  substitution0:
% 0.69/1.10  end
% 0.69/1.10  substitution1:
% 0.69/1.10  end
% 0.69/1.10  
% 0.69/1.10  subsumption: (25) {G4,W1,D1,L1,V0,M1} R(24,11);r(20) { alpha4 }.
% 0.69/1.10  parent0: (69) {G2,W1,D1,L1,V0,M1}  { alpha4 }.
% 0.69/1.10  substitution0:
% 0.69/1.10  end
% 0.69/1.10  permutation0:
% 0.69/1.10     0 ==> 0
% 0.69/1.10  end
% 0.69/1.10  
% 0.69/1.10  resolution: (70) {G1,W4,D2,L2,V0,M2}  { alpha5( skol3 ), ! xsd_integer( 
% 0.69/1.10    skol3 ) }.
% 0.69/1.10  parent0[2]: (14) {G0,W5,D2,L3,V0,M1} I { alpha5( skol3 ), ! xsd_integer( 
% 0.69/1.10    skol3 ), ! alpha4 }.
% 0.69/1.10  parent1[0]: (25) {G4,W1,D1,L1,V0,M1} R(24,11);r(20) { alpha4 }.
% 0.69/1.10  substitution0:
% 0.69/1.10  end
% 0.69/1.10  substitution1:
% 0.69/1.10  end
% 0.69/1.10  
% 0.69/1.10  subsumption: (26) {G5,W4,D2,L2,V0,M1} R(25,14) { ! xsd_integer( skol3 ), 
% 0.69/1.10    alpha5( skol3 ) }.
% 0.69/1.10  parent0: (70) {G1,W4,D2,L2,V0,M2}  { alpha5( skol3 ), ! xsd_integer( skol3
% 0.69/1.10     ) }.
% 0.69/1.10  substitution0:
% 0.69/1.10  end
% 0.69/1.10  permutation0:
% 0.69/1.10     0 ==> 1
% 0.69/1.10     1 ==> 0
% 0.69/1.10  end
% 0.69/1.10  
% 0.69/1.10  resolution: (71) {G1,W4,D2,L2,V0,M2}  { alpha5( skol3 ), ! xsd_string( 
% 0.69/1.10    skol3 ) }.
% 0.69/1.10  parent0[2]: (15) {G0,W5,D2,L3,V0,M1} I { alpha5( skol3 ), ! xsd_string( 
% 0.69/1.10    skol3 ), ! alpha4 }.
% 0.69/1.10  parent1[0]: (25) {G4,W1,D1,L1,V0,M1} R(24,11);r(20) { alpha4 }.
% 0.69/1.10  substitution0:
% 0.69/1.10  end
% 0.69/1.10  substitution1:
% 0.69/1.10  end
% 0.69/1.10  
% 0.69/1.10  subsumption: (27) {G5,W4,D2,L2,V0,M1} R(25,15) { ! xsd_string( skol3 ), 
% 0.69/1.10    alpha5( skol3 ) }.
% 0.69/1.10  parent0: (71) {G1,W4,D2,L2,V0,M2}  { alpha5( skol3 ), ! xsd_string( skol3 )
% 0.69/1.10     }.
% 0.69/1.10  substitution0:
% 0.69/1.10  end
% 0.69/1.10  permutation0:
% 0.69/1.10     0 ==> 1
% 0.69/1.10     1 ==> 0
% 0.69/1.10  end
% 0.69/1.10  
% 0.69/1.10  resolution: (72) {G1,W4,D2,L2,V0,M2}  { xsd_string( skol3 ), ! xsd_integer
% 0.69/1.10    ( skol3 ) }.
% 0.69/1.10  parent0[1]: (17) {G0,W4,D2,L2,V1,M1} I { xsd_string( X ), ! alpha5( X ) }.
% 0.69/1.10  parent1[1]: (26) {G5,W4,D2,L2,V0,M1} R(25,14) { ! xsd_integer( skol3 ), 
% 0.69/1.10    alpha5( skol3 ) }.
% 0.69/1.10  substitution0:
% 0.69/1.10     X := skol3
% 0.69/1.10  end
% 0.69/1.10  substitution1:
% 0.69/1.10  end
% 0.69/1.10  
% 0.69/1.10  resolution: (73) {G1,W4,D2,L2,V0,M2}  { xsd_string( skol3 ), xsd_string( 
% 0.69/1.10    skol3 ) }.
% 0.69/1.10  parent0[1]: (72) {G1,W4,D2,L2,V0,M2}  { xsd_string( skol3 ), ! xsd_integer
% 0.69/1.10    ( skol3 ) }.
% 0.69/1.10  parent1[1]: (3) {G0,W4,D2,L2,V1,M1} I { xsd_string( X ), xsd_integer( X )
% 0.69/1.10     }.
% 0.69/1.10  substitution0:
% 0.69/1.10  end
% 0.69/1.10  substitution1:
% 0.69/1.10     X := skol3
% 0.69/1.10  end
% 0.69/1.10  
% 0.69/1.10  factor: (74) {G1,W2,D2,L1,V0,M1}  { xsd_string( skol3 ) }.
% 0.69/1.10  parent0[0, 1]: (73) {G1,W4,D2,L2,V0,M2}  { xsd_string( skol3 ), xsd_string
% 0.69/1.10    ( skol3 ) }.
% 0.69/1.10  substitution0:
% 0.69/1.10  end
% 0.69/1.10  
% 0.69/1.10  subsumption: (28) {G6,W2,D2,L1,V0,M1} R(26,17);r(3) { xsd_string( skol3 )
% 0.69/1.10     }.
% 0.69/1.10  parent0: (74) {G1,W2,D2,L1,V0,M1}  { xsd_string( skol3 ) }.
% 0.69/1.10  substitution0:
% 0.69/1.10  end
% 0.69/1.10  permutation0:
% 0.69/1.10     0 ==> 0
% 0.69/1.10  end
% 0.69/1.10  
% 0.69/1.10  resolution: (75) {G6,W2,D2,L1,V0,M1}  { alpha5( skol3 ) }.
% 0.69/1.10  parent0[0]: (27) {G5,W4,D2,L2,V0,M1} R(25,15) { ! xsd_string( skol3 ), 
% 0.69/1.10    alpha5( skol3 ) }.
% 0.69/1.10  parent1[0]: (28) {G6,W2,D2,L1,V0,M1} R(26,17);r(3) { xsd_string( skol3 )
% 0.69/1.10     }.
% 0.69/1.10  substitution0:
% 0.69/1.10  end
% 0.69/1.10  substitution1:
% 0.69/1.10  end
% 0.69/1.10  
% 0.69/1.10  subsumption: (29) {G7,W2,D2,L1,V0,M1} S(27);r(28) { alpha5( skol3 ) }.
% 0.69/1.10  parent0: (75) {G6,W2,D2,L1,V0,M1}  { alpha5( skol3 ) }.
% 0.69/1.10  substitution0:
% 0.69/1.10  end
% 0.69/1.10  permutation0:
% 0.69/1.10     0 ==> 0
% 0.69/1.10  end
% 0.69/1.10  
% 0.69/1.10  resolution: (76) {G1,W2,D2,L1,V0,M1}  { xsd_integer( skol3 ) }.
% 0.69/1.10  parent0[1]: (18) {G0,W4,D2,L2,V1,M1} I { xsd_integer( X ), ! alpha5( X )
% 0.69/1.10     }.
% 0.69/1.10  parent1[0]: (29) {G7,W2,D2,L1,V0,M1} S(27);r(28) { alpha5( skol3 ) }.
% 0.69/1.10  substitution0:
% 0.69/1.10     X := skol3
% 0.69/1.10  end
% 0.69/1.10  substitution1:
% 0.69/1.10  end
% 0.69/1.10  
% 0.69/1.10  subsumption: (30) {G8,W2,D2,L1,V0,M1} R(29,18) { xsd_integer( skol3 ) }.
% 0.69/1.10  parent0: (76) {G1,W2,D2,L1,V0,M1}  { xsd_integer( skol3 ) }.
% 0.69/1.10  substitution0:
% 0.69/1.10  end
% 0.69/1.10  permutation0:
% 0.69/1.10     0 ==> 0
% 0.69/1.10  end
% 0.69/1.10  
% 0.69/1.10  resolution: (77) {G1,W2,D2,L1,V0,M1}  { ! xsd_string( skol3 ) }.
% 0.69/1.10  parent0[1]: (2) {G0,W4,D2,L2,V1,M1} I { ! xsd_string( X ), ! xsd_integer( X
% 0.69/1.10     ) }.
% 0.69/1.10  parent1[0]: (30) {G8,W2,D2,L1,V0,M1} R(29,18) { xsd_integer( skol3 ) }.
% 0.69/1.10  substitution0:
% 0.69/1.10     X := skol3
% 0.69/1.10  end
% 0.69/1.10  substitution1:
% 0.69/1.10  end
% 0.69/1.10  
% 0.69/1.10  resolution: (78) {G2,W0,D0,L0,V0,M0}  {  }.
% 0.69/1.10  parent0[0]: (77) {G1,W2,D2,L1,V0,M1}  { ! xsd_string( skol3 ) }.
% 0.69/1.10  parent1[0]: (28) {G6,W2,D2,L1,V0,M1} R(26,17);r(3) { xsd_string( skol3 )
% 0.69/1.10     }.
% 0.69/1.10  substitution0:
% 0.69/1.10  end
% 0.69/1.10  substitution1:
% 0.69/1.10  end
% 0.69/1.10  
% 0.69/1.10  subsumption: (31) {G9,W0,D0,L0,V0,M0} R(30,2);r(28) {  }.
% 0.69/1.10  parent0: (78) {G2,W0,D0,L0,V0,M0}  {  }.
% 0.69/1.10  substitution0:
% 0.69/1.10  end
% 0.69/1.10  permutation0:
% 0.69/1.10  end
% 0.69/1.10  
% 0.69/1.10  Proof check complete!
% 0.69/1.10  
% 0.69/1.10  Memory use:
% 0.69/1.10  
% 0.69/1.10  space for terms:        405
% 0.69/1.10  space for clauses:      1578
% 0.69/1.10  
% 0.69/1.10  
% 0.69/1.10  clauses generated:      45
% 0.69/1.10  clauses kept:           32
% 0.69/1.10  clauses selected:       29
% 0.69/1.10  clauses deleted:        2
% 0.69/1.10  clauses inuse deleted:  0
% 0.69/1.10  
% 0.69/1.10  subsentry:          14
% 0.69/1.10  literals s-matched: 10
% 0.69/1.10  literals matched:   10
% 0.69/1.10  full subsumption:   0
% 0.69/1.10  
% 0.69/1.10  checksum:           -19864243
% 0.69/1.10  
% 0.69/1.10  
% 0.69/1.10  Bliksem ended
%------------------------------------------------------------------------------