TSTP Solution File: PUZ131+1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : PUZ131+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n025.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 : Mon Jul 18 17:58:33 EDT 2022

% Result   : Theorem 0.69s 1.09s
% Output   : Refutation 0.69s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : PUZ131+1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12  % Command  : bliksem %s
% 0.13/0.33  % Computer : n025.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % DateTime : Sun May 29 01:55:26 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.69/1.09  *** allocated 10000 integers for termspace/termends
% 0.69/1.09  *** allocated 10000 integers for clauses
% 0.69/1.09  *** allocated 10000 integers for justifications
% 0.69/1.09  Bliksem 1.12
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  Automatic Strategy Selection
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  Clauses:
% 0.69/1.09  
% 0.69/1.09  { student( skol1 ) }.
% 0.69/1.09  { professor( skol2 ) }.
% 0.69/1.09  { course( skol3 ) }.
% 0.69/1.09  { student( michael ) }.
% 0.69/1.09  { professor( victor ) }.
% 0.69/1.09  { course( csc410 ) }.
% 0.69/1.09  { ! course( X ), professor( coordinatorof( X ) ) }.
% 0.69/1.09  { ! student( X ), course( skol4( Y ) ) }.
% 0.69/1.09  { ! student( X ), enrolled( X, skol4( X ) ) }.
% 0.69/1.09  { ! professor( X ), course( skol5( Y ) ) }.
% 0.69/1.09  { ! professor( X ), teaches( X, skol5( X ) ) }.
% 0.69/1.09  { ! course( X ), student( skol6( Y ) ) }.
% 0.69/1.09  { ! course( X ), enrolled( skol6( X ), X ) }.
% 0.69/1.09  { ! course( X ), professor( skol7( Y ) ) }.
% 0.69/1.09  { ! course( X ), teaches( skol7( X ), X ) }.
% 0.69/1.09  { ! course( X ), teaches( coordinatorof( X ), X ) }.
% 0.69/1.09  { ! student( X ), ! course( Y ), ! enrolled( X, Y ), ! professor( Z ), ! 
% 0.69/1.09    teaches( Z, Y ), taughtby( X, Z ) }.
% 0.69/1.09  { enrolled( michael, csc410 ) }.
% 0.69/1.09  { coordinatorof( csc410 ) = victor }.
% 0.69/1.09  { ! taughtby( michael, victor ) }.
% 0.69/1.09  
% 0.69/1.09  percentage equality = 0.028571, percentage horn = 1.000000
% 0.69/1.09  This is a problem with some equality
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  Options Used:
% 0.69/1.09  
% 0.69/1.09  useres =            1
% 0.69/1.09  useparamod =        1
% 0.69/1.09  useeqrefl =         1
% 0.69/1.09  useeqfact =         1
% 0.69/1.09  usefactor =         1
% 0.69/1.09  usesimpsplitting =  0
% 0.69/1.09  usesimpdemod =      5
% 0.69/1.09  usesimpres =        3
% 0.69/1.09  
% 0.69/1.09  resimpinuse      =  1000
% 0.69/1.09  resimpclauses =     20000
% 0.69/1.09  substype =          eqrewr
% 0.69/1.09  backwardsubs =      1
% 0.69/1.09  selectoldest =      5
% 0.69/1.09  
% 0.69/1.09  litorderings [0] =  split
% 0.69/1.09  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.69/1.09  
% 0.69/1.09  termordering =      kbo
% 0.69/1.09  
% 0.69/1.09  litapriori =        0
% 0.69/1.09  termapriori =       1
% 0.69/1.09  litaposteriori =    0
% 0.69/1.09  termaposteriori =   0
% 0.69/1.09  demodaposteriori =  0
% 0.69/1.09  ordereqreflfact =   0
% 0.69/1.09  
% 0.69/1.09  litselect =         negord
% 0.69/1.09  
% 0.69/1.09  maxweight =         15
% 0.69/1.09  maxdepth =          30000
% 0.69/1.09  maxlength =         115
% 0.69/1.09  maxnrvars =         195
% 0.69/1.09  excuselevel =       1
% 0.69/1.09  increasemaxweight = 1
% 0.69/1.09  
% 0.69/1.09  maxselected =       10000000
% 0.69/1.09  maxnrclauses =      10000000
% 0.69/1.09  
% 0.69/1.09  showgenerated =    0
% 0.69/1.09  showkept =         0
% 0.69/1.09  showselected =     0
% 0.69/1.09  showdeleted =      0
% 0.69/1.09  showresimp =       1
% 0.69/1.09  showstatus =       2000
% 0.69/1.09  
% 0.69/1.09  prologoutput =     0
% 0.69/1.09  nrgoals =          5000000
% 0.69/1.09  totalproof =       1
% 0.69/1.09  
% 0.69/1.09  Symbols occurring in the translation:
% 0.69/1.09  
% 0.69/1.09  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.69/1.09  .  [1, 2]      (w:1, o:29, a:1, s:1, b:0), 
% 0.69/1.09  !  [4, 1]      (w:0, o:16, a:1, s:1, b:0), 
% 0.69/1.09  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.69/1.09  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.69/1.09  student  [36, 1]      (w:1, o:21, a:1, s:1, b:0), 
% 0.69/1.09  professor  [37, 1]      (w:1, o:22, a:1, s:1, b:0), 
% 0.69/1.09  course  [38, 1]      (w:1, o:23, a:1, s:1, b:0), 
% 0.69/1.09  michael  [39, 0]      (w:1, o:7, a:1, s:1, b:0), 
% 0.69/1.09  victor  [40, 0]      (w:1, o:8, a:1, s:1, b:0), 
% 0.69/1.09  csc410  [41, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.69/1.09  coordinatorof  [42, 1]      (w:1, o:24, a:1, s:1, b:0), 
% 0.69/1.09  enrolled  [45, 2]      (w:1, o:53, a:1, s:1, b:0), 
% 0.69/1.09  teaches  [46, 2]      (w:1, o:54, a:1, s:1, b:0), 
% 0.69/1.09  taughtby  [48, 2]      (w:1, o:55, a:1, s:1, b:0), 
% 0.69/1.09  skol1  [49, 0]      (w:1, o:13, a:1, s:1, b:1), 
% 0.69/1.09  skol2  [50, 0]      (w:1, o:14, a:1, s:1, b:1), 
% 0.69/1.09  skol3  [51, 0]      (w:1, o:15, a:1, s:1, b:1), 
% 0.69/1.09  skol4  [52, 1]      (w:1, o:25, a:1, s:1, b:1), 
% 0.69/1.09  skol5  [53, 1]      (w:1, o:26, a:1, s:1, b:1), 
% 0.69/1.09  skol6  [54, 1]      (w:1, o:27, a:1, s:1, b:1), 
% 0.69/1.09  skol7  [55, 1]      (w:1, o:28, a:1, s:1, b:1).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  Starting Search:
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  Bliksems!, er is een bewijs:
% 0.69/1.09  % SZS status Theorem
% 0.69/1.09  % SZS output start Refutation
% 0.69/1.09  
% 0.69/1.09  (3) {G0,W2,D2,L1,V0,M1} I { student( michael ) }.
% 0.69/1.09  (4) {G0,W2,D2,L1,V0,M1} I { professor( victor ) }.
% 0.69/1.09  (5) {G0,W2,D2,L1,V0,M1} I { course( csc410 ) }.
% 0.69/1.09  (15) {G0,W6,D3,L2,V1,M2} I { ! course( X ), teaches( coordinatorof( X ), X
% 0.69/1.09     ) }.
% 0.69/1.09  (16) {G0,W15,D2,L6,V3,M6} I { ! student( X ), ! course( Y ), ! enrolled( X
% 0.69/1.09    , Y ), ! professor( Z ), ! teaches( Z, Y ), taughtby( X, Z ) }.
% 0.69/1.09  (17) {G0,W3,D2,L1,V0,M1} I { enrolled( michael, csc410 ) }.
% 0.69/1.09  (18) {G0,W4,D3,L1,V0,M1} I { coordinatorof( csc410 ) ==> victor }.
% 0.69/1.09  (19) {G0,W3,D2,L1,V0,M1} I { ! taughtby( michael, victor ) }.
% 0.69/1.09  (35) {G1,W3,D2,L1,V0,M1} R(15,5);d(18) { teaches( victor, csc410 ) }.
% 0.69/1.09  (59) {G2,W10,D2,L4,V1,M4} R(16,35);r(5) { ! student( X ), ! enrolled( X, 
% 0.69/1.09    csc410 ), ! professor( victor ), taughtby( X, victor ) }.
% 0.69/1.09  (85) {G3,W8,D2,L3,V1,M3} S(59);r(4) { ! student( X ), ! enrolled( X, csc410
% 0.69/1.09     ), taughtby( X, victor ) }.
% 0.69/1.09  (88) {G4,W3,D2,L1,V0,M1} R(85,17);r(3) { taughtby( michael, victor ) }.
% 0.69/1.09  (91) {G5,W0,D0,L0,V0,M0} S(88);r(19) {  }.
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  % SZS output end Refutation
% 0.69/1.09  found a proof!
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  Unprocessed initial clauses:
% 0.69/1.09  
% 0.69/1.09  (93) {G0,W2,D2,L1,V0,M1}  { student( skol1 ) }.
% 0.69/1.09  (94) {G0,W2,D2,L1,V0,M1}  { professor( skol2 ) }.
% 0.69/1.09  (95) {G0,W2,D2,L1,V0,M1}  { course( skol3 ) }.
% 0.69/1.09  (96) {G0,W2,D2,L1,V0,M1}  { student( michael ) }.
% 0.69/1.09  (97) {G0,W2,D2,L1,V0,M1}  { professor( victor ) }.
% 0.69/1.09  (98) {G0,W2,D2,L1,V0,M1}  { course( csc410 ) }.
% 0.69/1.09  (99) {G0,W5,D3,L2,V1,M2}  { ! course( X ), professor( coordinatorof( X ) )
% 0.69/1.09     }.
% 0.69/1.09  (100) {G0,W5,D3,L2,V2,M2}  { ! student( X ), course( skol4( Y ) ) }.
% 0.69/1.09  (101) {G0,W6,D3,L2,V1,M2}  { ! student( X ), enrolled( X, skol4( X ) ) }.
% 0.69/1.09  (102) {G0,W5,D3,L2,V2,M2}  { ! professor( X ), course( skol5( Y ) ) }.
% 0.69/1.09  (103) {G0,W6,D3,L2,V1,M2}  { ! professor( X ), teaches( X, skol5( X ) ) }.
% 0.69/1.09  (104) {G0,W5,D3,L2,V2,M2}  { ! course( X ), student( skol6( Y ) ) }.
% 0.69/1.09  (105) {G0,W6,D3,L2,V1,M2}  { ! course( X ), enrolled( skol6( X ), X ) }.
% 0.69/1.09  (106) {G0,W5,D3,L2,V2,M2}  { ! course( X ), professor( skol7( Y ) ) }.
% 0.69/1.09  (107) {G0,W6,D3,L2,V1,M2}  { ! course( X ), teaches( skol7( X ), X ) }.
% 0.69/1.09  (108) {G0,W6,D3,L2,V1,M2}  { ! course( X ), teaches( coordinatorof( X ), X
% 0.69/1.09     ) }.
% 0.69/1.09  (109) {G0,W15,D2,L6,V3,M6}  { ! student( X ), ! course( Y ), ! enrolled( X
% 0.69/1.09    , Y ), ! professor( Z ), ! teaches( Z, Y ), taughtby( X, Z ) }.
% 0.69/1.09  (110) {G0,W3,D2,L1,V0,M1}  { enrolled( michael, csc410 ) }.
% 0.69/1.09  (111) {G0,W4,D3,L1,V0,M1}  { coordinatorof( csc410 ) = victor }.
% 0.69/1.09  (112) {G0,W3,D2,L1,V0,M1}  { ! taughtby( michael, victor ) }.
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  Total Proof:
% 0.69/1.09  
% 0.69/1.09  subsumption: (3) {G0,W2,D2,L1,V0,M1} I { student( michael ) }.
% 0.69/1.09  parent0: (96) {G0,W2,D2,L1,V0,M1}  { student( michael ) }.
% 0.69/1.09  substitution0:
% 0.69/1.09  end
% 0.69/1.09  permutation0:
% 0.69/1.09     0 ==> 0
% 0.69/1.09  end
% 0.69/1.09  
% 0.69/1.09  subsumption: (4) {G0,W2,D2,L1,V0,M1} I { professor( victor ) }.
% 0.69/1.09  parent0: (97) {G0,W2,D2,L1,V0,M1}  { professor( victor ) }.
% 0.69/1.09  substitution0:
% 0.69/1.09  end
% 0.69/1.09  permutation0:
% 0.69/1.09     0 ==> 0
% 0.69/1.09  end
% 0.69/1.09  
% 0.69/1.09  subsumption: (5) {G0,W2,D2,L1,V0,M1} I { course( csc410 ) }.
% 0.69/1.09  parent0: (98) {G0,W2,D2,L1,V0,M1}  { course( csc410 ) }.
% 0.69/1.09  substitution0:
% 0.69/1.09  end
% 0.69/1.09  permutation0:
% 0.69/1.09     0 ==> 0
% 0.69/1.09  end
% 0.69/1.09  
% 0.69/1.09  subsumption: (15) {G0,W6,D3,L2,V1,M2} I { ! course( X ), teaches( 
% 0.69/1.09    coordinatorof( X ), X ) }.
% 0.69/1.09  parent0: (108) {G0,W6,D3,L2,V1,M2}  { ! course( X ), teaches( coordinatorof
% 0.69/1.09    ( X ), X ) }.
% 0.69/1.09  substitution0:
% 0.69/1.09     X := X
% 0.69/1.09  end
% 0.69/1.09  permutation0:
% 0.69/1.09     0 ==> 0
% 0.69/1.09     1 ==> 1
% 0.69/1.09  end
% 0.69/1.09  
% 0.69/1.09  subsumption: (16) {G0,W15,D2,L6,V3,M6} I { ! student( X ), ! course( Y ), !
% 0.69/1.09     enrolled( X, Y ), ! professor( Z ), ! teaches( Z, Y ), taughtby( X, Z )
% 0.69/1.09     }.
% 0.69/1.09  parent0: (109) {G0,W15,D2,L6,V3,M6}  { ! student( X ), ! course( Y ), ! 
% 0.69/1.09    enrolled( X, Y ), ! professor( Z ), ! teaches( Z, Y ), taughtby( X, Z )
% 0.69/1.09     }.
% 0.69/1.09  substitution0:
% 0.69/1.09     X := X
% 0.69/1.09     Y := Y
% 0.69/1.09     Z := Z
% 0.69/1.09  end
% 0.69/1.09  permutation0:
% 0.69/1.09     0 ==> 0
% 0.69/1.09     1 ==> 1
% 0.69/1.09     2 ==> 2
% 0.69/1.09     3 ==> 3
% 0.69/1.09     4 ==> 4
% 0.69/1.09     5 ==> 5
% 0.69/1.09  end
% 0.69/1.09  
% 0.69/1.09  subsumption: (17) {G0,W3,D2,L1,V0,M1} I { enrolled( michael, csc410 ) }.
% 0.69/1.09  parent0: (110) {G0,W3,D2,L1,V0,M1}  { enrolled( michael, csc410 ) }.
% 0.69/1.09  substitution0:
% 0.69/1.09  end
% 0.69/1.09  permutation0:
% 0.69/1.09     0 ==> 0
% 0.69/1.09  end
% 0.69/1.09  
% 0.69/1.09  subsumption: (18) {G0,W4,D3,L1,V0,M1} I { coordinatorof( csc410 ) ==> 
% 0.69/1.09    victor }.
% 0.69/1.09  parent0: (111) {G0,W4,D3,L1,V0,M1}  { coordinatorof( csc410 ) = victor }.
% 0.69/1.09  substitution0:
% 0.69/1.09  end
% 0.69/1.09  permutation0:
% 0.69/1.09     0 ==> 0
% 0.69/1.09  end
% 0.69/1.09  
% 0.69/1.09  subsumption: (19) {G0,W3,D2,L1,V0,M1} I { ! taughtby( michael, victor ) }.
% 0.69/1.09  parent0: (112) {G0,W3,D2,L1,V0,M1}  { ! taughtby( michael, victor ) }.
% 0.69/1.09  substitution0:
% 0.69/1.09  end
% 0.69/1.09  permutation0:
% 0.69/1.09     0 ==> 0
% 0.69/1.09  end
% 0.69/1.09  
% 0.69/1.09  resolution: (116) {G1,W4,D3,L1,V0,M1}  { teaches( coordinatorof( csc410 ), 
% 0.69/1.09    csc410 ) }.
% 0.69/1.09  parent0[0]: (15) {G0,W6,D3,L2,V1,M2} I { ! course( X ), teaches( 
% 0.69/1.09    coordinatorof( X ), X ) }.
% 0.69/1.09  parent1[0]: (5) {G0,W2,D2,L1,V0,M1} I { course( csc410 ) }.
% 0.69/1.09  substitution0:
% 0.69/1.09     X := csc410
% 0.69/1.09  end
% 0.69/1.09  substitution1:
% 0.69/1.09  end
% 0.69/1.09  
% 0.69/1.09  paramod: (117) {G1,W3,D2,L1,V0,M1}  { teaches( victor, csc410 ) }.
% 0.69/1.09  parent0[0]: (18) {G0,W4,D3,L1,V0,M1} I { coordinatorof( csc410 ) ==> victor
% 0.69/1.09     }.
% 0.69/1.09  parent1[0; 1]: (116) {G1,W4,D3,L1,V0,M1}  { teaches( coordinatorof( csc410
% 0.69/1.09     ), csc410 ) }.
% 0.69/1.09  substitution0:
% 0.69/1.09  end
% 0.69/1.09  substitution1:
% 0.69/1.09  end
% 0.69/1.09  
% 0.69/1.09  subsumption: (35) {G1,W3,D2,L1,V0,M1} R(15,5);d(18) { teaches( victor, 
% 0.69/1.09    csc410 ) }.
% 0.69/1.09  parent0: (117) {G1,W3,D2,L1,V0,M1}  { teaches( victor, csc410 ) }.
% 0.69/1.09  substitution0:
% 0.69/1.09  end
% 0.69/1.09  permutation0:
% 0.69/1.09     0 ==> 0
% 0.69/1.09  end
% 0.69/1.09  
% 0.69/1.09  resolution: (118) {G1,W12,D2,L5,V1,M5}  { ! student( X ), ! course( csc410
% 0.69/1.09     ), ! enrolled( X, csc410 ), ! professor( victor ), taughtby( X, victor )
% 0.69/1.09     }.
% 0.69/1.09  parent0[4]: (16) {G0,W15,D2,L6,V3,M6} I { ! student( X ), ! course( Y ), ! 
% 0.69/1.09    enrolled( X, Y ), ! professor( Z ), ! teaches( Z, Y ), taughtby( X, Z )
% 0.69/1.09     }.
% 0.69/1.09  parent1[0]: (35) {G1,W3,D2,L1,V0,M1} R(15,5);d(18) { teaches( victor, 
% 0.69/1.09    csc410 ) }.
% 0.69/1.09  substitution0:
% 0.69/1.09     X := X
% 0.69/1.09     Y := csc410
% 0.69/1.09     Z := victor
% 0.69/1.09  end
% 0.69/1.09  substitution1:
% 0.69/1.09  end
% 0.69/1.09  
% 0.69/1.09  resolution: (119) {G1,W10,D2,L4,V1,M4}  { ! student( X ), ! enrolled( X, 
% 0.69/1.09    csc410 ), ! professor( victor ), taughtby( X, victor ) }.
% 0.69/1.09  parent0[1]: (118) {G1,W12,D2,L5,V1,M5}  { ! student( X ), ! course( csc410
% 0.69/1.09     ), ! enrolled( X, csc410 ), ! professor( victor ), taughtby( X, victor )
% 0.69/1.09     }.
% 0.69/1.09  parent1[0]: (5) {G0,W2,D2,L1,V0,M1} I { course( csc410 ) }.
% 0.69/1.09  substitution0:
% 0.69/1.09     X := X
% 0.69/1.09  end
% 0.69/1.09  substitution1:
% 0.69/1.09  end
% 0.69/1.09  
% 0.69/1.09  subsumption: (59) {G2,W10,D2,L4,V1,M4} R(16,35);r(5) { ! student( X ), ! 
% 0.69/1.09    enrolled( X, csc410 ), ! professor( victor ), taughtby( X, victor ) }.
% 0.69/1.09  parent0: (119) {G1,W10,D2,L4,V1,M4}  { ! student( X ), ! enrolled( X, 
% 0.69/1.09    csc410 ), ! professor( victor ), taughtby( X, victor ) }.
% 0.69/1.09  substitution0:
% 0.69/1.09     X := X
% 0.69/1.09  end
% 0.69/1.09  permutation0:
% 0.69/1.09     0 ==> 0
% 0.69/1.09     1 ==> 1
% 0.69/1.09     2 ==> 2
% 0.69/1.09     3 ==> 3
% 0.69/1.09  end
% 0.69/1.09  
% 0.69/1.09  resolution: (120) {G1,W8,D2,L3,V1,M3}  { ! student( X ), ! enrolled( X, 
% 0.69/1.09    csc410 ), taughtby( X, victor ) }.
% 0.69/1.09  parent0[2]: (59) {G2,W10,D2,L4,V1,M4} R(16,35);r(5) { ! student( X ), ! 
% 0.69/1.09    enrolled( X, csc410 ), ! professor( victor ), taughtby( X, victor ) }.
% 0.69/1.09  parent1[0]: (4) {G0,W2,D2,L1,V0,M1} I { professor( victor ) }.
% 0.69/1.09  substitution0:
% 0.69/1.09     X := X
% 0.69/1.09  end
% 0.69/1.09  substitution1:
% 0.69/1.09  end
% 0.69/1.09  
% 0.69/1.09  subsumption: (85) {G3,W8,D2,L3,V1,M3} S(59);r(4) { ! student( X ), ! 
% 0.69/1.09    enrolled( X, csc410 ), taughtby( X, victor ) }.
% 0.69/1.09  parent0: (120) {G1,W8,D2,L3,V1,M3}  { ! student( X ), ! enrolled( X, csc410
% 0.69/1.09     ), taughtby( X, victor ) }.
% 0.69/1.09  substitution0:
% 0.69/1.09     X := X
% 0.69/1.09  end
% 0.69/1.09  permutation0:
% 0.69/1.09     0 ==> 0
% 0.69/1.09     1 ==> 1
% 0.69/1.09     2 ==> 2
% 0.69/1.09  end
% 0.69/1.09  
% 0.69/1.09  resolution: (121) {G1,W5,D2,L2,V0,M2}  { ! student( michael ), taughtby( 
% 0.69/1.09    michael, victor ) }.
% 0.69/1.09  parent0[1]: (85) {G3,W8,D2,L3,V1,M3} S(59);r(4) { ! student( X ), ! 
% 0.69/1.09    enrolled( X, csc410 ), taughtby( X, victor ) }.
% 0.69/1.09  parent1[0]: (17) {G0,W3,D2,L1,V0,M1} I { enrolled( michael, csc410 ) }.
% 0.69/1.09  substitution0:
% 0.69/1.09     X := michael
% 0.69/1.09  end
% 0.69/1.09  substitution1:
% 0.69/1.09  end
% 0.69/1.09  
% 0.69/1.09  resolution: (122) {G1,W3,D2,L1,V0,M1}  { taughtby( michael, victor ) }.
% 0.69/1.09  parent0[0]: (121) {G1,W5,D2,L2,V0,M2}  { ! student( michael ), taughtby( 
% 0.69/1.09    michael, victor ) }.
% 0.69/1.09  parent1[0]: (3) {G0,W2,D2,L1,V0,M1} I { student( michael ) }.
% 0.69/1.09  substitution0:
% 0.69/1.09  end
% 0.69/1.09  substitution1:
% 0.69/1.09  end
% 0.69/1.09  
% 0.69/1.09  subsumption: (88) {G4,W3,D2,L1,V0,M1} R(85,17);r(3) { taughtby( michael, 
% 0.69/1.09    victor ) }.
% 0.69/1.09  parent0: (122) {G1,W3,D2,L1,V0,M1}  { taughtby( michael, victor ) }.
% 0.69/1.09  substitution0:
% 0.69/1.09  end
% 0.69/1.09  permutation0:
% 0.69/1.09     0 ==> 0
% 0.69/1.09  end
% 0.69/1.09  
% 0.69/1.09  resolution: (123) {G1,W0,D0,L0,V0,M0}  {  }.
% 0.69/1.09  parent0[0]: (19) {G0,W3,D2,L1,V0,M1} I { ! taughtby( michael, victor ) }.
% 0.69/1.09  parent1[0]: (88) {G4,W3,D2,L1,V0,M1} R(85,17);r(3) { taughtby( michael, 
% 0.69/1.09    victor ) }.
% 0.69/1.09  substitution0:
% 0.69/1.09  end
% 0.69/1.09  substitution1:
% 0.69/1.09  end
% 0.69/1.09  
% 0.69/1.09  subsumption: (91) {G5,W0,D0,L0,V0,M0} S(88);r(19) {  }.
% 0.69/1.09  parent0: (123) {G1,W0,D0,L0,V0,M0}  {  }.
% 0.69/1.09  substitution0:
% 0.69/1.09  end
% 0.69/1.09  permutation0:
% 0.69/1.09  end
% 0.69/1.09  
% 0.69/1.09  Proof check complete!
% 0.69/1.09  
% 0.69/1.09  Memory use:
% 0.69/1.09  
% 0.69/1.09  space for terms:        1138
% 0.69/1.09  space for clauses:      4462
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  clauses generated:      149
% 0.69/1.09  clauses kept:           92
% 0.69/1.09  clauses selected:       50
% 0.69/1.09  clauses deleted:        4
% 0.69/1.09  clauses inuse deleted:  0
% 0.69/1.09  
% 0.69/1.09  subsentry:          81
% 0.69/1.09  literals s-matched: 71
% 0.69/1.09  literals matched:   71
% 0.69/1.09  full subsumption:   3
% 0.69/1.09  
% 0.69/1.09  checksum:           98989114
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  Bliksem ended
%------------------------------------------------------------------------------