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Bliksem---1.12.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : KRS166+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n027.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 02:42:30 EDT 2022

% Result   : Theorem 0.41s 1.04s
% Output   : Refutation 0.41s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : KRS166+1 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.11  % Command  : bliksem %s
% 0.12/0.32  % Computer : n027.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 19:34:40 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.41/1.04  *** allocated 10000 integers for termspace/termends
% 0.41/1.04  *** allocated 10000 integers for clauses
% 0.41/1.04  *** allocated 10000 integers for justifications
% 0.41/1.04  Bliksem 1.12
% 0.41/1.04  
% 0.41/1.04  
% 0.41/1.04  Automatic Strategy Selection
% 0.41/1.04  
% 0.41/1.04  
% 0.41/1.04  Clauses:
% 0.41/1.04  
% 0.41/1.04  { cowlThing( X ) }.
% 0.41/1.04  { ! cowlNothing( X ) }.
% 0.41/1.04  { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.41/1.04  { xsd_integer( X ), xsd_string( X ) }.
% 0.41/1.04  { ! cAutomobile( X ), cCar( X ) }.
% 0.41/1.04  { ! cCar( X ), cAutomobile( X ) }.
% 0.41/1.04  { alpha1, alpha2( skol1 ), cAutomobile( skol1 ) }.
% 0.41/1.04  { alpha1, alpha2( skol1 ), ! cCar( skol1 ) }.
% 0.41/1.04  { ! alpha2( X ), cCar( X ) }.
% 0.41/1.04  { ! alpha2( X ), ! cAutomobile( X ) }.
% 0.41/1.04  { ! cCar( X ), cAutomobile( X ), alpha2( X ) }.
% 0.41/1.04  { ! alpha1, alpha3, alpha4 }.
% 0.41/1.04  { ! alpha3, alpha1 }.
% 0.41/1.04  { ! alpha4, alpha1 }.
% 0.41/1.04  { ! alpha4, alpha5( skol2 ), ! xsd_integer( skol2 ) }.
% 0.41/1.04  { ! alpha4, alpha5( skol2 ), ! xsd_string( skol2 ) }.
% 0.41/1.04  { ! alpha5( X ), alpha4 }.
% 0.41/1.04  { xsd_integer( X ), xsd_string( X ), alpha4 }.
% 0.41/1.04  { ! alpha5( X ), xsd_string( X ) }.
% 0.41/1.04  { ! alpha5( X ), xsd_integer( X ) }.
% 0.41/1.04  { ! xsd_string( X ), ! xsd_integer( X ), alpha5( X ) }.
% 0.41/1.04  { ! alpha3, ! cowlThing( skol3 ), cowlNothing( skol3 ) }.
% 0.41/1.04  { cowlThing( X ), alpha3 }.
% 0.41/1.04  { ! cowlNothing( X ), alpha3 }.
% 0.41/1.04  
% 0.41/1.04  percentage equality = 0.000000, percentage horn = 0.789474
% 0.41/1.04  This a non-horn, non-equality problem
% 0.41/1.04  
% 0.41/1.04  
% 0.41/1.04  Options Used:
% 0.41/1.04  
% 0.41/1.04  useres =            1
% 0.41/1.04  useparamod =        0
% 0.41/1.04  useeqrefl =         0
% 0.41/1.04  useeqfact =         0
% 0.41/1.04  usefactor =         1
% 0.41/1.04  usesimpsplitting =  0
% 0.41/1.04  usesimpdemod =      0
% 0.41/1.04  usesimpres =        3
% 0.41/1.04  
% 0.41/1.04  resimpinuse      =  1000
% 0.41/1.04  resimpclauses =     20000
% 0.41/1.04  substype =          standard
% 0.41/1.04  backwardsubs =      1
% 0.41/1.04  selectoldest =      5
% 0.41/1.04  
% 0.41/1.04  litorderings [0] =  split
% 0.41/1.04  litorderings [1] =  liftord
% 0.41/1.04  
% 0.41/1.04  termordering =      none
% 0.41/1.04  
% 0.41/1.04  litapriori =        1
% 0.41/1.04  termapriori =       0
% 0.41/1.04  litaposteriori =    0
% 0.41/1.04  termaposteriori =   0
% 0.41/1.04  demodaposteriori =  0
% 0.41/1.04  ordereqreflfact =   0
% 0.41/1.04  
% 0.41/1.04  litselect =         none
% 0.41/1.04  
% 0.41/1.04  maxweight =         15
% 0.41/1.04  maxdepth =          30000
% 0.41/1.04  maxlength =         115
% 0.41/1.04  maxnrvars =         195
% 0.41/1.04  excuselevel =       1
% 0.41/1.04  increasemaxweight = 1
% 0.41/1.04  
% 0.41/1.04  maxselected =       10000000
% 0.41/1.04  maxnrclauses =      10000000
% 0.41/1.04  
% 0.41/1.04  showgenerated =    0
% 0.41/1.04  showkept =         0
% 0.41/1.04  showselected =     0
% 0.41/1.04  showdeleted =      0
% 0.41/1.04  showresimp =       1
% 0.41/1.04  showstatus =       2000
% 0.41/1.04  
% 0.41/1.04  prologoutput =     0
% 0.41/1.04  nrgoals =          5000000
% 0.41/1.04  totalproof =       1
% 0.41/1.04  
% 0.41/1.04  Symbols occurring in the translation:
% 0.41/1.04  
% 0.41/1.04  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.41/1.04  .  [1, 2]      (w:1, o:26, a:1, s:1, b:0), 
% 0.41/1.04  !  [4, 1]      (w:0, o:13, a:1, s:1, b:0), 
% 0.41/1.04  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.41/1.04  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.41/1.04  cowlThing  [36, 1]      (w:1, o:18, a:1, s:1, b:0), 
% 0.41/1.04  cowlNothing  [37, 1]      (w:1, o:19, a:1, s:1, b:0), 
% 0.41/1.04  xsd_string  [38, 1]      (w:1, o:20, a:1, s:1, b:0), 
% 0.41/1.04  xsd_integer  [39, 1]      (w:1, o:21, a:1, s:1, b:0), 
% 0.41/1.04  cAutomobile  [40, 1]      (w:1, o:22, a:1, s:1, b:0), 
% 0.41/1.04  cCar  [41, 1]      (w:1, o:23, a:1, s:1, b:0), 
% 0.41/1.04  alpha1  [42, 0]      (w:1, o:7, a:1, s:1, b:0), 
% 0.41/1.04  alpha2  [43, 1]      (w:1, o:24, a:1, s:1, b:0), 
% 0.41/1.04  alpha3  [44, 0]      (w:1, o:8, a:1, s:1, b:0), 
% 0.41/1.04  alpha4  [45, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.41/1.04  alpha5  [46, 1]      (w:1, o:25, a:1, s:1, b:0), 
% 0.41/1.04  skol1  [47, 0]      (w:1, o:10, a:1, s:1, b:0), 
% 0.41/1.04  skol2  [48, 0]      (w:1, o:11, a:1, s:1, b:0), 
% 0.41/1.04  skol3  [49, 0]      (w:1, o:12, a:1, s:1, b:0).
% 0.41/1.04  
% 0.41/1.04  
% 0.41/1.04  Starting Search:
% 0.41/1.04  
% 0.41/1.04  
% 0.41/1.04  Bliksems!, er is een bewijs:
% 0.41/1.04  % SZS status Theorem
% 0.41/1.04  % SZS output start Refutation
% 0.41/1.04  
% 0.41/1.04  (0) {G0,W2,D2,L1,V1,M1} I { cowlThing( X ) }.
% 0.41/1.04  (1) {G0,W2,D2,L1,V1,M1} I { ! cowlNothing( X ) }.
% 0.41/1.04  (2) {G0,W4,D2,L2,V1,M1} I { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.41/1.04  (3) {G0,W4,D2,L2,V1,M1} I { xsd_string( X ), xsd_integer( X ) }.
% 0.41/1.04  (4) {G0,W4,D2,L2,V1,M1} I { ! cAutomobile( X ), cCar( X ) }.
% 0.41/1.04  (5) {G0,W4,D2,L2,V1,M1} I { cAutomobile( X ), ! cCar( X ) }.
% 0.41/1.04  (6) {G0,W5,D2,L3,V0,M1} I { alpha1, cAutomobile( skol1 ), alpha2( skol1 )
% 0.41/1.04     }.
% 0.41/1.04  (7) {G0,W5,D2,L3,V0,M1} I { alpha1, ! cCar( skol1 ), alpha2( skol1 ) }.
% 0.41/1.04  (8) {G0,W4,D2,L2,V1,M1} I { cCar( X ), ! alpha2( X ) }.
% 0.41/1.04  (9) {G0,W4,D2,L2,V1,M1} I { ! cAutomobile( X ), ! alpha2( X ) }.
% 0.41/1.04  (10) {G0,W3,D1,L3,V0,M1} I { alpha3, alpha4, ! alpha1 }.
% 0.41/1.04  (13) {G0,W5,D2,L3,V0,M1} I { alpha5( skol2 ), ! xsd_integer( skol2 ), ! 
% 0.41/1.04    alpha4 }.
% 0.41/1.04  (14) {G0,W5,D2,L3,V0,M1} I { alpha5( skol2 ), ! xsd_string( skol2 ), ! 
% 0.41/1.04    alpha4 }.
% 0.41/1.04  (16) {G0,W4,D2,L2,V1,M1} I { xsd_string( X ), ! alpha5( X ) }.
% 0.41/1.04  (17) {G0,W4,D2,L2,V1,M1} I { xsd_integer( X ), ! alpha5( X ) }.
% 0.41/1.04  (18) {G1,W3,D2,L2,V0,M1} I;r(0) { cowlNothing( skol3 ), ! alpha3 }.
% 0.41/1.04  (19) {G2,W1,D1,L1,V0,M1} S(18);r(1) { ! alpha3 }.
% 0.41/1.04  (20) {G1,W3,D2,L2,V0,M1} R(7,9);r(4) { alpha1, ! cAutomobile( skol1 ) }.
% 0.41/1.04  (21) {G2,W3,D2,L2,V0,M1} S(6);r(20) { alpha1, alpha2( skol1 ) }.
% 0.41/1.04  (22) {G3,W3,D2,L2,V0,M1} R(21,8) { alpha1, cCar( skol1 ) }.
% 0.41/1.04  (23) {G4,W1,D1,L1,V0,M1} R(22,5);r(20) { alpha1 }.
% 0.41/1.04  (24) {G5,W1,D1,L1,V0,M1} R(23,10);r(19) { alpha4 }.
% 0.41/1.04  (25) {G6,W4,D2,L2,V0,M1} R(24,13) { ! xsd_integer( skol2 ), alpha5( skol2 )
% 0.41/1.04     }.
% 0.41/1.04  (26) {G6,W4,D2,L2,V0,M1} R(24,14) { ! xsd_string( skol2 ), alpha5( skol2 )
% 0.41/1.04     }.
% 0.41/1.04  (27) {G7,W2,D2,L1,V0,M1} R(25,16);r(3) { xsd_string( skol2 ) }.
% 0.41/1.04  (28) {G8,W2,D2,L1,V0,M1} S(26);r(27) { alpha5( skol2 ) }.
% 0.41/1.04  (29) {G9,W2,D2,L1,V0,M1} R(28,17) { xsd_integer( skol2 ) }.
% 0.41/1.04  (30) {G10,W0,D0,L0,V0,M0} R(29,2);r(27) {  }.
% 0.41/1.04  
% 0.41/1.04  
% 0.41/1.04  % SZS output end Refutation
% 0.41/1.04  found a proof!
% 0.41/1.04  
% 0.41/1.04  
% 0.41/1.04  Unprocessed initial clauses:
% 0.41/1.04  
% 0.41/1.04  (32) {G0,W2,D2,L1,V1,M1}  { cowlThing( X ) }.
% 0.41/1.04  (33) {G0,W2,D2,L1,V1,M1}  { ! cowlNothing( X ) }.
% 0.41/1.04  (34) {G0,W4,D2,L2,V1,M2}  { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.41/1.04  (35) {G0,W4,D2,L2,V1,M2}  { xsd_integer( X ), xsd_string( X ) }.
% 0.41/1.04  (36) {G0,W4,D2,L2,V1,M2}  { ! cAutomobile( X ), cCar( X ) }.
% 0.41/1.04  (37) {G0,W4,D2,L2,V1,M2}  { ! cCar( X ), cAutomobile( X ) }.
% 0.41/1.04  (38) {G0,W5,D2,L3,V0,M3}  { alpha1, alpha2( skol1 ), cAutomobile( skol1 )
% 0.41/1.04     }.
% 0.41/1.04  (39) {G0,W5,D2,L3,V0,M3}  { alpha1, alpha2( skol1 ), ! cCar( skol1 ) }.
% 0.41/1.04  (40) {G0,W4,D2,L2,V1,M2}  { ! alpha2( X ), cCar( X ) }.
% 0.41/1.04  (41) {G0,W4,D2,L2,V1,M2}  { ! alpha2( X ), ! cAutomobile( X ) }.
% 0.41/1.04  (42) {G0,W6,D2,L3,V1,M3}  { ! cCar( X ), cAutomobile( X ), alpha2( X ) }.
% 0.41/1.04  (43) {G0,W3,D1,L3,V0,M3}  { ! alpha1, alpha3, alpha4 }.
% 0.41/1.04  (44) {G0,W2,D1,L2,V0,M2}  { ! alpha3, alpha1 }.
% 0.41/1.04  (45) {G0,W2,D1,L2,V0,M2}  { ! alpha4, alpha1 }.
% 0.41/1.04  (46) {G0,W5,D2,L3,V0,M3}  { ! alpha4, alpha5( skol2 ), ! xsd_integer( skol2
% 0.41/1.04     ) }.
% 0.41/1.04  (47) {G0,W5,D2,L3,V0,M3}  { ! alpha4, alpha5( skol2 ), ! xsd_string( skol2
% 0.41/1.04     ) }.
% 0.41/1.04  (48) {G0,W3,D2,L2,V1,M2}  { ! alpha5( X ), alpha4 }.
% 0.41/1.04  (49) {G0,W5,D2,L3,V1,M3}  { xsd_integer( X ), xsd_string( X ), alpha4 }.
% 0.41/1.04  (50) {G0,W4,D2,L2,V1,M2}  { ! alpha5( X ), xsd_string( X ) }.
% 0.41/1.04  (51) {G0,W4,D2,L2,V1,M2}  { ! alpha5( X ), xsd_integer( X ) }.
% 0.41/1.04  (52) {G0,W6,D2,L3,V1,M3}  { ! xsd_string( X ), ! xsd_integer( X ), alpha5( 
% 0.41/1.04    X ) }.
% 0.41/1.04  (53) {G0,W5,D2,L3,V0,M3}  { ! alpha3, ! cowlThing( skol3 ), cowlNothing( 
% 0.41/1.04    skol3 ) }.
% 0.41/1.04  (54) {G0,W3,D2,L2,V1,M2}  { cowlThing( X ), alpha3 }.
% 0.41/1.04  (55) {G0,W3,D2,L2,V1,M2}  { ! cowlNothing( X ), alpha3 }.
% 0.41/1.04  
% 0.41/1.04  
% 0.41/1.04  Total Proof:
% 0.41/1.04  
% 0.41/1.04  subsumption: (0) {G0,W2,D2,L1,V1,M1} I { cowlThing( X ) }.
% 0.41/1.04  parent0: (32) {G0,W2,D2,L1,V1,M1}  { cowlThing( X ) }.
% 0.41/1.04  substitution0:
% 0.41/1.04     X := X
% 0.41/1.04  end
% 0.41/1.04  permutation0:
% 0.41/1.04     0 ==> 0
% 0.41/1.04  end
% 0.41/1.04  
% 0.41/1.04  subsumption: (1) {G0,W2,D2,L1,V1,M1} I { ! cowlNothing( X ) }.
% 0.41/1.04  parent0: (33) {G0,W2,D2,L1,V1,M1}  { ! cowlNothing( X ) }.
% 0.41/1.04  substitution0:
% 0.41/1.04     X := X
% 0.41/1.04  end
% 0.41/1.04  permutation0:
% 0.41/1.04     0 ==> 0
% 0.41/1.04  end
% 0.41/1.04  
% 0.41/1.04  subsumption: (2) {G0,W4,D2,L2,V1,M1} I { ! xsd_string( X ), ! xsd_integer( 
% 0.41/1.04    X ) }.
% 0.41/1.04  parent0: (34) {G0,W4,D2,L2,V1,M2}  { ! xsd_string( X ), ! xsd_integer( X )
% 0.41/1.04     }.
% 0.41/1.04  substitution0:
% 0.41/1.04     X := X
% 0.41/1.04  end
% 0.41/1.04  permutation0:
% 0.41/1.04     0 ==> 0
% 0.41/1.04     1 ==> 1
% 0.41/1.04  end
% 0.41/1.04  
% 0.41/1.04  subsumption: (3) {G0,W4,D2,L2,V1,M1} I { xsd_string( X ), xsd_integer( X )
% 0.41/1.04     }.
% 0.41/1.04  parent0: (35) {G0,W4,D2,L2,V1,M2}  { xsd_integer( X ), xsd_string( X ) }.
% 0.41/1.04  substitution0:
% 0.41/1.04     X := X
% 0.41/1.04  end
% 0.41/1.04  permutation0:
% 0.41/1.04     0 ==> 1
% 0.41/1.04     1 ==> 0
% 0.41/1.04  end
% 0.41/1.04  
% 0.41/1.04  subsumption: (4) {G0,W4,D2,L2,V1,M1} I { ! cAutomobile( X ), cCar( X ) }.
% 0.41/1.04  parent0: (36) {G0,W4,D2,L2,V1,M2}  { ! cAutomobile( X ), cCar( X ) }.
% 0.41/1.04  substitution0:
% 0.41/1.04     X := X
% 0.41/1.04  end
% 0.41/1.04  permutation0:
% 0.41/1.04     0 ==> 0
% 0.41/1.04     1 ==> 1
% 0.41/1.04  end
% 0.41/1.04  
% 0.41/1.04  subsumption: (5) {G0,W4,D2,L2,V1,M1} I { cAutomobile( X ), ! cCar( X ) }.
% 0.41/1.04  parent0: (37) {G0,W4,D2,L2,V1,M2}  { ! cCar( X ), cAutomobile( X ) }.
% 0.41/1.04  substitution0:
% 0.41/1.04     X := X
% 0.41/1.04  end
% 0.41/1.04  permutation0:
% 0.41/1.04     0 ==> 1
% 0.41/1.04     1 ==> 0
% 0.41/1.04  end
% 0.41/1.04  
% 0.41/1.04  subsumption: (6) {G0,W5,D2,L3,V0,M1} I { alpha1, cAutomobile( skol1 ), 
% 0.41/1.04    alpha2( skol1 ) }.
% 0.41/1.04  parent0: (38) {G0,W5,D2,L3,V0,M3}  { alpha1, alpha2( skol1 ), cAutomobile( 
% 0.41/1.04    skol1 ) }.
% 0.41/1.04  substitution0:
% 0.41/1.04  end
% 0.41/1.04  permutation0:
% 0.41/1.04     0 ==> 0
% 0.41/1.04     1 ==> 2
% 0.41/1.04     2 ==> 1
% 0.41/1.04  end
% 0.41/1.04  
% 0.41/1.04  subsumption: (7) {G0,W5,D2,L3,V0,M1} I { alpha1, ! cCar( skol1 ), alpha2( 
% 0.41/1.04    skol1 ) }.
% 0.41/1.04  parent0: (39) {G0,W5,D2,L3,V0,M3}  { alpha1, alpha2( skol1 ), ! cCar( skol1
% 0.41/1.04     ) }.
% 0.41/1.04  substitution0:
% 0.41/1.04  end
% 0.41/1.04  permutation0:
% 0.41/1.04     0 ==> 0
% 0.41/1.04     1 ==> 2
% 0.41/1.04     2 ==> 1
% 0.41/1.04  end
% 0.41/1.04  
% 0.41/1.04  subsumption: (8) {G0,W4,D2,L2,V1,M1} I { cCar( X ), ! alpha2( X ) }.
% 0.41/1.04  parent0: (40) {G0,W4,D2,L2,V1,M2}  { ! alpha2( X ), cCar( X ) }.
% 0.41/1.04  substitution0:
% 0.41/1.04     X := X
% 0.41/1.04  end
% 0.41/1.04  permutation0:
% 0.41/1.04     0 ==> 1
% 0.41/1.04     1 ==> 0
% 0.41/1.04  end
% 0.41/1.04  
% 0.41/1.04  subsumption: (9) {G0,W4,D2,L2,V1,M1} I { ! cAutomobile( X ), ! alpha2( X )
% 0.41/1.04     }.
% 0.41/1.04  parent0: (41) {G0,W4,D2,L2,V1,M2}  { ! alpha2( X ), ! cAutomobile( X ) }.
% 0.41/1.04  substitution0:
% 0.41/1.04     X := X
% 0.41/1.04  end
% 0.41/1.04  permutation0:
% 0.41/1.04     0 ==> 1
% 0.41/1.04     1 ==> 0
% 0.41/1.04  end
% 0.41/1.04  
% 0.41/1.04  subsumption: (10) {G0,W3,D1,L3,V0,M1} I { alpha3, alpha4, ! alpha1 }.
% 0.41/1.04  parent0: (43) {G0,W3,D1,L3,V0,M3}  { ! alpha1, alpha3, alpha4 }.
% 0.41/1.04  substitution0:
% 0.41/1.04  end
% 0.41/1.04  permutation0:
% 0.41/1.04     0 ==> 2
% 0.41/1.04     1 ==> 0
% 0.41/1.04     2 ==> 1
% 0.41/1.04  end
% 0.41/1.04  
% 0.41/1.04  subsumption: (13) {G0,W5,D2,L3,V0,M1} I { alpha5( skol2 ), ! xsd_integer( 
% 0.41/1.04    skol2 ), ! alpha4 }.
% 0.41/1.04  parent0: (46) {G0,W5,D2,L3,V0,M3}  { ! alpha4, alpha5( skol2 ), ! 
% 0.41/1.04    xsd_integer( skol2 ) }.
% 0.41/1.04  substitution0:
% 0.41/1.04  end
% 0.41/1.04  permutation0:
% 0.41/1.04     0 ==> 2
% 0.41/1.04     1 ==> 0
% 0.41/1.04     2 ==> 1
% 0.41/1.04  end
% 0.41/1.04  
% 0.41/1.04  subsumption: (14) {G0,W5,D2,L3,V0,M1} I { alpha5( skol2 ), ! xsd_string( 
% 0.41/1.04    skol2 ), ! alpha4 }.
% 0.41/1.04  parent0: (47) {G0,W5,D2,L3,V0,M3}  { ! alpha4, alpha5( skol2 ), ! 
% 0.41/1.04    xsd_string( skol2 ) }.
% 0.41/1.04  substitution0:
% 0.41/1.04  end
% 0.41/1.04  permutation0:
% 0.41/1.04     0 ==> 2
% 0.41/1.04     1 ==> 0
% 0.41/1.04     2 ==> 1
% 0.41/1.04  end
% 0.41/1.04  
% 0.41/1.04  subsumption: (16) {G0,W4,D2,L2,V1,M1} I { xsd_string( X ), ! alpha5( X )
% 0.41/1.04     }.
% 0.41/1.04  parent0: (50) {G0,W4,D2,L2,V1,M2}  { ! alpha5( X ), xsd_string( X ) }.
% 0.41/1.04  substitution0:
% 0.41/1.04     X := X
% 0.41/1.04  end
% 0.41/1.04  permutation0:
% 0.41/1.04     0 ==> 1
% 0.41/1.04     1 ==> 0
% 0.41/1.04  end
% 0.41/1.04  
% 0.41/1.04  subsumption: (17) {G0,W4,D2,L2,V1,M1} I { xsd_integer( X ), ! alpha5( X )
% 0.41/1.04     }.
% 0.41/1.04  parent0: (51) {G0,W4,D2,L2,V1,M2}  { ! alpha5( X ), xsd_integer( X ) }.
% 0.41/1.04  substitution0:
% 0.41/1.04     X := X
% 0.41/1.04  end
% 0.41/1.04  permutation0:
% 0.41/1.04     0 ==> 1
% 0.41/1.04     1 ==> 0
% 0.41/1.04  end
% 0.41/1.04  
% 0.41/1.04  resolution: (56) {G1,W3,D2,L2,V0,M2}  { ! alpha3, cowlNothing( skol3 ) }.
% 0.41/1.04  parent0[1]: (53) {G0,W5,D2,L3,V0,M3}  { ! alpha3, ! cowlThing( skol3 ), 
% 0.41/1.04    cowlNothing( skol3 ) }.
% 0.41/1.04  parent1[0]: (0) {G0,W2,D2,L1,V1,M1} I { cowlThing( X ) }.
% 0.41/1.04  substitution0:
% 0.41/1.04  end
% 0.41/1.04  substitution1:
% 0.41/1.04     X := skol3
% 0.41/1.04  end
% 0.41/1.04  
% 0.41/1.04  subsumption: (18) {G1,W3,D2,L2,V0,M1} I;r(0) { cowlNothing( skol3 ), ! 
% 0.41/1.04    alpha3 }.
% 0.41/1.04  parent0: (56) {G1,W3,D2,L2,V0,M2}  { ! alpha3, cowlNothing( skol3 ) }.
% 0.41/1.04  substitution0:
% 0.41/1.04  end
% 0.41/1.04  permutation0:
% 0.41/1.04     0 ==> 1
% 0.41/1.04     1 ==> 0
% 0.41/1.04  end
% 0.41/1.04  
% 0.41/1.04  resolution: (57) {G1,W1,D1,L1,V0,M1}  { ! alpha3 }.
% 0.41/1.04  parent0[0]: (1) {G0,W2,D2,L1,V1,M1} I { ! cowlNothing( X ) }.
% 0.41/1.04  parent1[0]: (18) {G1,W3,D2,L2,V0,M1} I;r(0) { cowlNothing( skol3 ), ! 
% 0.41/1.04    alpha3 }.
% 0.41/1.04  substitution0:
% 0.41/1.04     X := skol3
% 0.41/1.04  end
% 0.41/1.04  substitution1:
% 0.41/1.04  end
% 0.41/1.04  
% 0.41/1.04  subsumption: (19) {G2,W1,D1,L1,V0,M1} S(18);r(1) { ! alpha3 }.
% 0.41/1.04  parent0: (57) {G1,W1,D1,L1,V0,M1}  { ! alpha3 }.
% 0.41/1.04  substitution0:
% 0.41/1.04  end
% 0.41/1.04  permutation0:
% 0.41/1.04     0 ==> 0
% 0.41/1.04  end
% 0.41/1.04  
% 0.41/1.04  resolution: (58) {G1,W5,D2,L3,V0,M3}  { ! cAutomobile( skol1 ), alpha1, ! 
% 0.41/1.04    cCar( skol1 ) }.
% 0.41/1.04  parent0[1]: (9) {G0,W4,D2,L2,V1,M1} I { ! cAutomobile( X ), ! alpha2( X )
% 0.41/1.04     }.
% 0.41/1.04  parent1[2]: (7) {G0,W5,D2,L3,V0,M1} I { alpha1, ! cCar( skol1 ), alpha2( 
% 0.41/1.04    skol1 ) }.
% 0.41/1.04  substitution0:
% 0.41/1.04     X := skol1
% 0.41/1.04  end
% 0.41/1.04  substitution1:
% 0.41/1.04  end
% 0.41/1.04  
% 0.41/1.04  resolution: (59) {G1,W5,D2,L3,V0,M3}  { ! cAutomobile( skol1 ), alpha1, ! 
% 0.41/1.04    cAutomobile( skol1 ) }.
% 0.41/1.04  parent0[2]: (58) {G1,W5,D2,L3,V0,M3}  { ! cAutomobile( skol1 ), alpha1, ! 
% 0.41/1.04    cCar( skol1 ) }.
% 0.41/1.04  parent1[1]: (4) {G0,W4,D2,L2,V1,M1} I { ! cAutomobile( X ), cCar( X ) }.
% 0.41/1.04  substitution0:
% 0.41/1.04  end
% 0.41/1.04  substitution1:
% 0.41/1.04     X := skol1
% 0.41/1.04  end
% 0.41/1.04  
% 0.41/1.04  factor: (60) {G1,W3,D2,L2,V0,M2}  { ! cAutomobile( skol1 ), alpha1 }.
% 0.41/1.04  parent0[0, 2]: (59) {G1,W5,D2,L3,V0,M3}  { ! cAutomobile( skol1 ), alpha1, 
% 0.41/1.04    ! cAutomobile( skol1 ) }.
% 0.41/1.04  substitution0:
% 0.41/1.04  end
% 0.41/1.04  
% 0.41/1.04  subsumption: (20) {G1,W3,D2,L2,V0,M1} R(7,9);r(4) { alpha1, ! cAutomobile( 
% 0.41/1.04    skol1 ) }.
% 0.41/1.04  parent0: (60) {G1,W3,D2,L2,V0,M2}  { ! cAutomobile( skol1 ), alpha1 }.
% 0.41/1.04  substitution0:
% 0.41/1.04  end
% 0.41/1.04  permutation0:
% 0.41/1.04     0 ==> 1
% 0.41/1.04     1 ==> 0
% 0.41/1.04  end
% 0.41/1.04  
% 0.41/1.04  resolution: (61) {G1,W4,D2,L3,V0,M3}  { alpha1, alpha1, alpha2( skol1 ) }.
% 0.41/1.04  parent0[1]: (20) {G1,W3,D2,L2,V0,M1} R(7,9);r(4) { alpha1, ! cAutomobile( 
% 0.41/1.04    skol1 ) }.
% 0.41/1.04  parent1[1]: (6) {G0,W5,D2,L3,V0,M1} I { alpha1, cAutomobile( skol1 ), 
% 0.41/1.04    alpha2( skol1 ) }.
% 0.41/1.04  substitution0:
% 0.41/1.04  end
% 0.41/1.04  substitution1:
% 0.41/1.04  end
% 0.41/1.04  
% 0.41/1.04  factor: (62) {G1,W3,D2,L2,V0,M2}  { alpha1, alpha2( skol1 ) }.
% 0.41/1.04  parent0[0, 1]: (61) {G1,W4,D2,L3,V0,M3}  { alpha1, alpha1, alpha2( skol1 )
% 0.41/1.04     }.
% 0.41/1.04  substitution0:
% 0.41/1.04  end
% 0.41/1.04  
% 0.41/1.04  subsumption: (21) {G2,W3,D2,L2,V0,M1} S(6);r(20) { alpha1, alpha2( skol1 )
% 0.41/1.04     }.
% 0.41/1.04  parent0: (62) {G1,W3,D2,L2,V0,M2}  { alpha1, alpha2( skol1 ) }.
% 0.41/1.04  substitution0:
% 0.41/1.04  end
% 0.41/1.04  permutation0:
% 0.41/1.04     0 ==> 0
% 0.41/1.04     1 ==> 1
% 0.41/1.04  end
% 0.41/1.04  
% 0.41/1.04  resolution: (63) {G1,W3,D2,L2,V0,M2}  { cCar( skol1 ), alpha1 }.
% 0.41/1.04  parent0[1]: (8) {G0,W4,D2,L2,V1,M1} I { cCar( X ), ! alpha2( X ) }.
% 0.41/1.04  parent1[1]: (21) {G2,W3,D2,L2,V0,M1} S(6);r(20) { alpha1, alpha2( skol1 )
% 0.41/1.04     }.
% 0.41/1.04  substitution0:
% 0.41/1.04     X := skol1
% 0.41/1.04  end
% 0.41/1.04  substitution1:
% 0.41/1.04  end
% 0.41/1.04  
% 0.41/1.04  subsumption: (22) {G3,W3,D2,L2,V0,M1} R(21,8) { alpha1, cCar( skol1 ) }.
% 0.41/1.04  parent0: (63) {G1,W3,D2,L2,V0,M2}  { cCar( skol1 ), alpha1 }.
% 0.41/1.04  substitution0:
% 0.41/1.04  end
% 0.41/1.04  permutation0:
% 0.41/1.04     0 ==> 1
% 0.41/1.04     1 ==> 0
% 0.41/1.04  end
% 0.41/1.04  
% 0.41/1.04  resolution: (64) {G1,W3,D2,L2,V0,M2}  { cAutomobile( skol1 ), alpha1 }.
% 0.41/1.04  parent0[1]: (5) {G0,W4,D2,L2,V1,M1} I { cAutomobile( X ), ! cCar( X ) }.
% 0.41/1.04  parent1[1]: (22) {G3,W3,D2,L2,V0,M1} R(21,8) { alpha1, cCar( skol1 ) }.
% 0.41/1.04  substitution0:
% 0.41/1.04     X := skol1
% 0.41/1.04  end
% 0.41/1.04  substitution1:
% 0.41/1.04  end
% 0.41/1.04  
% 0.41/1.04  resolution: (65) {G2,W2,D1,L2,V0,M2}  { alpha1, alpha1 }.
% 0.41/1.04  parent0[1]: (20) {G1,W3,D2,L2,V0,M1} R(7,9);r(4) { alpha1, ! cAutomobile( 
% 0.41/1.04    skol1 ) }.
% 0.41/1.04  parent1[0]: (64) {G1,W3,D2,L2,V0,M2}  { cAutomobile( skol1 ), alpha1 }.
% 0.41/1.04  substitution0:
% 0.41/1.04  end
% 0.41/1.04  substitution1:
% 0.41/1.04  end
% 0.41/1.04  
% 0.41/1.04  factor: (66) {G2,W1,D1,L1,V0,M1}  { alpha1 }.
% 0.41/1.04  parent0[0, 1]: (65) {G2,W2,D1,L2,V0,M2}  { alpha1, alpha1 }.
% 0.41/1.04  substitution0:
% 0.41/1.04  end
% 0.41/1.04  
% 0.41/1.04  subsumption: (23) {G4,W1,D1,L1,V0,M1} R(22,5);r(20) { alpha1 }.
% 0.41/1.04  parent0: (66) {G2,W1,D1,L1,V0,M1}  { alpha1 }.
% 0.41/1.04  substitution0:
% 0.41/1.04  end
% 0.41/1.04  permutation0:
% 0.41/1.04     0 ==> 0
% 0.41/1.04  end
% 0.41/1.04  
% 0.41/1.04  resolution: (67) {G1,W2,D1,L2,V0,M2}  { alpha3, alpha4 }.
% 0.41/1.04  parent0[2]: (10) {G0,W3,D1,L3,V0,M1} I { alpha3, alpha4, ! alpha1 }.
% 0.41/1.04  parent1[0]: (23) {G4,W1,D1,L1,V0,M1} R(22,5);r(20) { alpha1 }.
% 0.41/1.04  substitution0:
% 0.41/1.04  end
% 0.41/1.04  substitution1:
% 0.41/1.04  end
% 0.41/1.04  
% 0.41/1.04  resolution: (68) {G2,W1,D1,L1,V0,M1}  { alpha4 }.
% 0.41/1.04  parent0[0]: (19) {G2,W1,D1,L1,V0,M1} S(18);r(1) { ! alpha3 }.
% 0.41/1.04  parent1[0]: (67) {G1,W2,D1,L2,V0,M2}  { alpha3, alpha4 }.
% 0.41/1.04  substitution0:
% 0.41/1.04  end
% 0.41/1.04  substitution1:
% 0.41/1.04  end
% 0.41/1.04  
% 0.41/1.04  subsumption: (24) {G5,W1,D1,L1,V0,M1} R(23,10);r(19) { alpha4 }.
% 0.41/1.04  parent0: (68) {G2,W1,D1,L1,V0,M1}  { alpha4 }.
% 0.41/1.04  substitution0:
% 0.41/1.04  end
% 0.41/1.04  permutation0:
% 0.41/1.04     0 ==> 0
% 0.41/1.04  end
% 0.41/1.04  
% 0.41/1.04  resolution: (69) {G1,W4,D2,L2,V0,M2}  { alpha5( skol2 ), ! xsd_integer( 
% 0.41/1.04    skol2 ) }.
% 0.41/1.04  parent0[2]: (13) {G0,W5,D2,L3,V0,M1} I { alpha5( skol2 ), ! xsd_integer( 
% 0.41/1.04    skol2 ), ! alpha4 }.
% 0.41/1.04  parent1[0]: (24) {G5,W1,D1,L1,V0,M1} R(23,10);r(19) { alpha4 }.
% 0.41/1.04  substitution0:
% 0.41/1.04  end
% 0.41/1.04  substitution1:
% 0.41/1.04  end
% 0.41/1.04  
% 0.41/1.04  subsumption: (25) {G6,W4,D2,L2,V0,M1} R(24,13) { ! xsd_integer( skol2 ), 
% 0.41/1.04    alpha5( skol2 ) }.
% 0.41/1.04  parent0: (69) {G1,W4,D2,L2,V0,M2}  { alpha5( skol2 ), ! xsd_integer( skol2
% 0.41/1.04     ) }.
% 0.41/1.04  substitution0:
% 0.41/1.04  end
% 0.41/1.04  permutation0:
% 0.41/1.04     0 ==> 1
% 0.41/1.04     1 ==> 0
% 0.41/1.04  end
% 0.41/1.04  
% 0.41/1.04  resolution: (70) {G1,W4,D2,L2,V0,M2}  { alpha5( skol2 ), ! xsd_string( 
% 0.41/1.04    skol2 ) }.
% 0.41/1.04  parent0[2]: (14) {G0,W5,D2,L3,V0,M1} I { alpha5( skol2 ), ! xsd_string( 
% 0.41/1.04    skol2 ), ! alpha4 }.
% 0.41/1.04  parent1[0]: (24) {G5,W1,D1,L1,V0,M1} R(23,10);r(19) { alpha4 }.
% 0.41/1.04  substitution0:
% 0.41/1.04  end
% 0.41/1.04  substitution1:
% 0.41/1.04  end
% 0.41/1.04  
% 0.41/1.04  subsumption: (26) {G6,W4,D2,L2,V0,M1} R(24,14) { ! xsd_string( skol2 ), 
% 0.41/1.04    alpha5( skol2 ) }.
% 0.41/1.04  parent0: (70) {G1,W4,D2,L2,V0,M2}  { alpha5( skol2 ), ! xsd_string( skol2 )
% 0.41/1.04     }.
% 0.41/1.04  substitution0:
% 0.41/1.04  end
% 0.41/1.04  permutation0:
% 0.41/1.04     0 ==> 1
% 0.41/1.04     1 ==> 0
% 0.41/1.04  end
% 0.41/1.04  
% 0.41/1.04  resolution: (71) {G1,W4,D2,L2,V0,M2}  { xsd_string( skol2 ), ! xsd_integer
% 0.41/1.04    ( skol2 ) }.
% 0.41/1.04  parent0[1]: (16) {G0,W4,D2,L2,V1,M1} I { xsd_string( X ), ! alpha5( X ) }.
% 0.41/1.04  parent1[1]: (25) {G6,W4,D2,L2,V0,M1} R(24,13) { ! xsd_integer( skol2 ), 
% 0.41/1.04    alpha5( skol2 ) }.
% 0.41/1.04  substitution0:
% 0.41/1.04     X := skol2
% 0.41/1.04  end
% 0.41/1.04  substitution1:
% 0.41/1.04  end
% 0.41/1.04  
% 0.41/1.04  resolution: (72) {G1,W4,D2,L2,V0,M2}  { xsd_string( skol2 ), xsd_string( 
% 0.41/1.04    skol2 ) }.
% 0.41/1.04  parent0[1]: (71) {G1,W4,D2,L2,V0,M2}  { xsd_string( skol2 ), ! xsd_integer
% 0.41/1.04    ( skol2 ) }.
% 0.41/1.04  parent1[1]: (3) {G0,W4,D2,L2,V1,M1} I { xsd_string( X ), xsd_integer( X )
% 0.41/1.04     }.
% 0.41/1.04  substitution0:
% 0.41/1.04  end
% 0.41/1.04  substitution1:
% 0.41/1.04     X := skol2
% 0.41/1.04  end
% 0.41/1.04  
% 0.41/1.04  factor: (73) {G1,W2,D2,L1,V0,M1}  { xsd_string( skol2 ) }.
% 0.41/1.04  parent0[0, 1]: (72) {G1,W4,D2,L2,V0,M2}  { xsd_string( skol2 ), xsd_string
% 0.41/1.04    ( skol2 ) }.
% 0.41/1.04  substitution0:
% 0.41/1.04  end
% 0.41/1.04  
% 0.41/1.04  subsumption: (27) {G7,W2,D2,L1,V0,M1} R(25,16);r(3) { xsd_string( skol2 )
% 0.41/1.04     }.
% 0.41/1.04  parent0: (73) {G1,W2,D2,L1,V0,M1}  { xsd_string( skol2 ) }.
% 0.41/1.04  substitution0:
% 0.41/1.04  end
% 0.41/1.04  permutation0:
% 0.41/1.04     0 ==> 0
% 0.41/1.04  end
% 0.41/1.04  
% 0.41/1.04  resolution: (74) {G7,W2,D2,L1,V0,M1}  { alpha5( skol2 ) }.
% 0.41/1.04  parent0[0]: (26) {G6,W4,D2,L2,V0,M1} R(24,14) { ! xsd_string( skol2 ), 
% 0.41/1.04    alpha5( skol2 ) }.
% 0.41/1.04  parent1[0]: (27) {G7,W2,D2,L1,V0,M1} R(25,16);r(3) { xsd_string( skol2 )
% 0.41/1.04     }.
% 0.41/1.04  substitution0:
% 0.41/1.04  end
% 0.41/1.04  substitution1:
% 0.41/1.04  end
% 0.41/1.04  
% 0.41/1.04  subsumption: (28) {G8,W2,D2,L1,V0,M1} S(26);r(27) { alpha5( skol2 ) }.
% 0.41/1.04  parent0: (74) {G7,W2,D2,L1,V0,M1}  { alpha5( skol2 ) }.
% 0.41/1.04  substitution0:
% 0.41/1.04  end
% 0.41/1.04  permutation0:
% 0.41/1.04     0 ==> 0
% 0.41/1.04  end
% 0.41/1.04  
% 0.41/1.04  resolution: (75) {G1,W2,D2,L1,V0,M1}  { xsd_integer( skol2 ) }.
% 0.41/1.04  parent0[1]: (17) {G0,W4,D2,L2,V1,M1} I { xsd_integer( X ), ! alpha5( X )
% 0.41/1.04     }.
% 0.41/1.04  parent1[0]: (28) {G8,W2,D2,L1,V0,M1} S(26);r(27) { alpha5( skol2 ) }.
% 0.41/1.04  substitution0:
% 0.41/1.04     X := skol2
% 0.41/1.04  end
% 0.41/1.04  substitution1:
% 0.41/1.04  end
% 0.41/1.04  
% 0.41/1.04  subsumption: (29) {G9,W2,D2,L1,V0,M1} R(28,17) { xsd_integer( skol2 ) }.
% 0.41/1.04  parent0: (75) {G1,W2,D2,L1,V0,M1}  { xsd_integer( skol2 ) }.
% 0.41/1.04  substitution0:
% 0.41/1.04  end
% 0.41/1.04  permutation0:
% 0.41/1.04     0 ==> 0
% 0.41/1.04  end
% 0.41/1.04  
% 0.41/1.04  resolution: (76) {G1,W2,D2,L1,V0,M1}  { ! xsd_string( skol2 ) }.
% 0.41/1.04  parent0[1]: (2) {G0,W4,D2,L2,V1,M1} I { ! xsd_string( X ), ! xsd_integer( X
% 0.41/1.04     ) }.
% 0.41/1.04  parent1[0]: (29) {G9,W2,D2,L1,V0,M1} R(28,17) { xsd_integer( skol2 ) }.
% 0.41/1.04  substitution0:
% 0.41/1.04     X := skol2
% 0.41/1.04  end
% 0.41/1.04  substitution1:
% 0.41/1.04  end
% 0.41/1.04  
% 0.41/1.04  resolution: (77) {G2,W0,D0,L0,V0,M0}  {  }.
% 0.41/1.04  parent0[0]: (76) {G1,W2,D2,L1,V0,M1}  { ! xsd_string( skol2 ) }.
% 0.41/1.04  parent1[0]: (27) {G7,W2,D2,L1,V0,M1} R(25,16);r(3) { xsd_string( skol2 )
% 0.41/1.04     }.
% 0.41/1.04  substitution0:
% 0.41/1.04  end
% 0.41/1.04  substitution1:
% 0.41/1.04  end
% 0.41/1.04  
% 0.41/1.04  subsumption: (30) {G10,W0,D0,L0,V0,M0} R(29,2);r(27) {  }.
% 0.41/1.04  parent0: (77) {G2,W0,D0,L0,V0,M0}  {  }.
% 0.41/1.04  substitution0:
% 0.41/1.04  end
% 0.41/1.04  permutation0:
% 0.41/1.04  end
% 0.41/1.04  
% 0.41/1.04  Proof check complete!
% 0.41/1.04  
% 0.41/1.04  Memory use:
% 0.41/1.04  
% 0.41/1.04  space for terms:        374
% 0.41/1.04  space for clauses:      1512
% 0.41/1.04  
% 0.41/1.04  
% 0.41/1.04  clauses generated:      45
% 0.41/1.04  clauses kept:           31
% 0.41/1.04  clauses selected:       27
% 0.41/1.04  clauses deleted:        3
% 0.41/1.04  clauses inuse deleted:  0
% 0.41/1.04  
% 0.41/1.04  subsentry:          12
% 0.41/1.04  literals s-matched: 10
% 0.41/1.04  literals matched:   10
% 0.41/1.04  full subsumption:   0
% 0.41/1.04  
% 0.41/1.04  checksum:           2003410018
% 0.41/1.04  
% 0.41/1.04  
% 0.41/1.04  Bliksem ended
%------------------------------------------------------------------------------