TSTP Solution File: PUZ131-10 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : PUZ131-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n019.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   : Unsatisfiable 0.74s 1.10s
% Output   : Refutation 0.74s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : PUZ131-10 : TPTP v8.1.0. Released v7.5.0.
% 0.06/0.13  % Command  : bliksem %s
% 0.12/0.34  % Computer : n019.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % DateTime : Sun May 29 01:43:11 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.74/1.10  *** allocated 10000 integers for termspace/termends
% 0.74/1.10  *** allocated 10000 integers for clauses
% 0.74/1.10  *** allocated 10000 integers for justifications
% 0.74/1.10  Bliksem 1.12
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  Automatic Strategy Selection
% 0.74/1.10  
% 0.74/1.10  Clauses:
% 0.74/1.10  [
% 0.74/1.10     [ =( ifeq( X, X, Y, Z ), Y ) ],
% 0.74/1.10     [ =( student( 'sK7_student_type_A' ), true ) ],
% 0.74/1.10     [ =( professor( 'sK6_professor_type_A' ), true ) ],
% 0.74/1.10     [ =( course( 'sK5_course_type_A' ), true ) ],
% 0.74/1.10     [ =( student( michael ), true ) ],
% 0.74/1.10     [ =( professor( victor ), true ) ],
% 0.74/1.10     [ =( course( csc410 ), true ) ],
% 0.74/1.10     [ =( ifeq( course( X ), true, professor( coordinatorof( X ) ), true ), 
% 0.74/1.10    true ) ],
% 0.74/1.10     [ =( ifeq( student( X ), true, enrolled( X, 
% 0.74/1.10    'sK4_student_enrolled_axiom_Y'( X ) ), true ), true ) ],
% 0.74/1.10     [ =( ifeq( student( X ), true, course( 'sK4_student_enrolled_axiom_Y'( X
% 0.74/1.10     ) ), true ), true ) ],
% 0.74/1.10     [ =( ifeq( professor( X ), true, teaches( X, 'sK3_professor_teaches_Y'( 
% 0.74/1.10    X ) ), true ), true ) ],
% 0.74/1.10     [ =( ifeq( professor( X ), true, course( 'sK3_professor_teaches_Y'( X )
% 0.74/1.10     ), true ), true ) ],
% 0.74/1.10     [ =( ifeq( course( X ), true, enrolled( 'sK2_course_enrolled_Y'( X ), X
% 0.74/1.10     ), true ), true ) ],
% 0.74/1.10     [ =( ifeq( course( X ), true, student( 'sK2_course_enrolled_Y'( X ) ), 
% 0.74/1.10    true ), true ) ],
% 0.74/1.10     [ =( ifeq( course( X ), true, teaches( 'sK1_course_teaches_Y'( X ), X )
% 0.74/1.10    , true ), true ) ],
% 0.74/1.10     [ =( ifeq( course( X ), true, professor( 'sK1_course_teaches_Y'( X ) ), 
% 0.74/1.10    true ), true ) ],
% 0.74/1.10     [ =( ifeq( course( X ), true, teaches( coordinatorof( X ), X ), true ), 
% 0.74/1.10    true ) ],
% 0.74/1.10     [ =( ifeq( teaches( X, Y ), true, ifeq( enrolled( Z, Y ), true, ifeq( 
% 0.74/1.10    course( Y ), true, ifeq( professor( X ), true, ifeq( student( Z ), true, 
% 0.74/1.10    taughtby( Z, X ), true ), true ), true ), true ), true ), true ) ],
% 0.74/1.10     [ =( enrolled( michael, csc410 ), true ) ],
% 0.74/1.10     [ =( coordinatorof( csc410 ), victor ) ],
% 0.74/1.10     [ ~( =( taughtby( michael, victor ), true ) ) ]
% 0.74/1.10  ] .
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  percentage equality = 1.000000, percentage horn = 1.000000
% 0.74/1.10  This is a pure equality problem
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  Options Used:
% 0.74/1.10  
% 0.74/1.10  useres =            1
% 0.74/1.10  useparamod =        1
% 0.74/1.10  useeqrefl =         1
% 0.74/1.10  useeqfact =         1
% 0.74/1.10  usefactor =         1
% 0.74/1.10  usesimpsplitting =  0
% 0.74/1.10  usesimpdemod =      5
% 0.74/1.10  usesimpres =        3
% 0.74/1.10  
% 0.74/1.10  resimpinuse      =  1000
% 0.74/1.10  resimpclauses =     20000
% 0.74/1.10  substype =          eqrewr
% 0.74/1.10  backwardsubs =      1
% 0.74/1.10  selectoldest =      5
% 0.74/1.10  
% 0.74/1.10  litorderings [0] =  split
% 0.74/1.10  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.74/1.10  
% 0.74/1.10  termordering =      kbo
% 0.74/1.10  
% 0.74/1.10  litapriori =        0
% 0.74/1.10  termapriori =       1
% 0.74/1.10  litaposteriori =    0
% 0.74/1.10  termaposteriori =   0
% 0.74/1.10  demodaposteriori =  0
% 0.74/1.10  ordereqreflfact =   0
% 0.74/1.10  
% 0.74/1.10  litselect =         negord
% 0.74/1.10  
% 0.74/1.10  maxweight =         15
% 0.74/1.10  maxdepth =          30000
% 0.74/1.10  maxlength =         115
% 0.74/1.10  maxnrvars =         195
% 0.74/1.10  excuselevel =       1
% 0.74/1.10  increasemaxweight = 1
% 0.74/1.10  
% 0.74/1.10  maxselected =       10000000
% 0.74/1.10  maxnrclauses =      10000000
% 0.74/1.10  
% 0.74/1.10  showgenerated =    0
% 0.74/1.10  showkept =         0
% 0.74/1.10  showselected =     0
% 0.74/1.10  showdeleted =      0
% 0.74/1.10  showresimp =       1
% 0.74/1.10  showstatus =       2000
% 0.74/1.10  
% 0.74/1.10  prologoutput =     1
% 0.74/1.10  nrgoals =          5000000
% 0.74/1.10  totalproof =       1
% 0.74/1.10  
% 0.74/1.10  Symbols occurring in the translation:
% 0.74/1.10  
% 0.74/1.10  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.74/1.10  .  [1, 2]      (w:1, o:35, a:1, s:1, b:0), 
% 0.74/1.10  !  [4, 1]      (w:0, o:22, a:1, s:1, b:0), 
% 0.74/1.10  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.74/1.10  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.74/1.10  ifeq  [42, 4]      (w:1, o:63, a:1, s:1, b:0), 
% 0.74/1.10  'sK7_student_type_A'  [43, 0]      (w:1, o:7, a:1, s:1, b:0), 
% 0.74/1.10  student  [44, 1]      (w:1, o:27, a:1, s:1, b:0), 
% 0.74/1.10  true  [45, 0]      (w:1, o:15, a:1, s:1, b:0), 
% 0.74/1.10  'sK6_professor_type_A'  [46, 0]      (w:1, o:6, a:1, s:1, b:0), 
% 0.74/1.10  professor  [47, 1]      (w:1, o:28, a:1, s:1, b:0), 
% 0.74/1.10  'sK5_course_type_A'  [48, 0]      (w:1, o:5, a:1, s:1, b:0), 
% 0.74/1.10  course  [49, 1]      (w:1, o:29, a:1, s:1, b:0), 
% 0.74/1.10  michael  [50, 0]      (w:1, o:16, a:1, s:1, b:0), 
% 0.74/1.10  victor  [51, 0]      (w:1, o:17, a:1, s:1, b:0), 
% 0.74/1.10  csc410  [52, 0]      (w:1, o:18, a:1, s:1, b:0), 
% 0.74/1.10  coordinatorof  [53, 1]      (w:1, o:30, a:1, s:1, b:0), 
% 0.74/1.10  'sK4_student_enrolled_axiom_Y'  [55, 1]      (w:1, o:34, a:1, s:1, b:0), 
% 0.74/1.10  enrolled  [56, 2]      (w:1, o:60, a:1, s:1, b:0), 
% 0.74/1.10  'sK3_professor_teaches_Y'  [57, 1]      (w:1, o:33, a:1, s:1, b:0), 
% 0.74/1.10  teaches  [58, 2]      (w:1, o:61, a:1, s:1, b:0), 
% 0.74/1.10  'sK2_course_enrolled_Y'  [59, 1]      (w:1, o:32, a:1, s:1, b:0), 
% 0.74/1.10  'sK1_course_teaches_Y'  [60, 1]      (w:1, o:31, a:1, s:1, b:0), 
% 0.74/1.10  taughtby  [63, 2]      (w:1, o:62, a:1, s:1, b:0).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  Starting Search:
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  Bliksems!, er is een bewijs:
% 0.74/1.10  % SZS status Unsatisfiable
% 0.74/1.10  % SZS output start Refutation
% 0.74/1.10  
% 0.74/1.10  clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 0.74/1.10  .
% 0.74/1.10  clause( 4, [ =( student( michael ), true ) ] )
% 0.74/1.10  .
% 0.74/1.10  clause( 5, [ =( professor( victor ), true ) ] )
% 0.74/1.10  .
% 0.74/1.10  clause( 6, [ =( course( csc410 ), true ) ] )
% 0.74/1.10  .
% 0.74/1.10  clause( 16, [ =( ifeq( course( X ), true, teaches( coordinatorof( X ), X )
% 0.74/1.10    , true ), true ) ] )
% 0.74/1.10  .
% 0.74/1.10  clause( 17, [ =( ifeq( teaches( X, Y ), true, ifeq( enrolled( Z, Y ), true
% 0.74/1.10    , ifeq( course( Y ), true, ifeq( professor( X ), true, ifeq( student( Z )
% 0.74/1.10    , true, taughtby( Z, X ), true ), true ), true ), true ), true ), true )
% 0.74/1.10     ] )
% 0.74/1.10  .
% 0.74/1.10  clause( 18, [ =( enrolled( michael, csc410 ), true ) ] )
% 0.74/1.10  .
% 0.74/1.10  clause( 19, [ =( coordinatorof( csc410 ), victor ) ] )
% 0.74/1.10  .
% 0.74/1.10  clause( 20, [ ~( =( taughtby( michael, victor ), true ) ) ] )
% 0.74/1.10  .
% 0.74/1.10  clause( 95, [ =( teaches( victor, csc410 ), true ) ] )
% 0.74/1.10  .
% 0.74/1.10  clause( 108, [ =( ifeq( teaches( X, csc410 ), true, ifeq( professor( X ), 
% 0.74/1.10    true, taughtby( michael, X ), true ), true ), true ) ] )
% 0.74/1.10  .
% 0.74/1.10  clause( 417, [] )
% 0.74/1.10  .
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  % SZS output end Refutation
% 0.74/1.10  found a proof!
% 0.74/1.10  
% 0.74/1.10  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.74/1.10  
% 0.74/1.10  initialclauses(
% 0.74/1.10  [ clause( 419, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 0.74/1.10  , clause( 420, [ =( student( 'sK7_student_type_A' ), true ) ] )
% 0.74/1.10  , clause( 421, [ =( professor( 'sK6_professor_type_A' ), true ) ] )
% 0.74/1.10  , clause( 422, [ =( course( 'sK5_course_type_A' ), true ) ] )
% 0.74/1.10  , clause( 423, [ =( student( michael ), true ) ] )
% 0.74/1.10  , clause( 424, [ =( professor( victor ), true ) ] )
% 0.74/1.10  , clause( 425, [ =( course( csc410 ), true ) ] )
% 0.74/1.10  , clause( 426, [ =( ifeq( course( X ), true, professor( coordinatorof( X )
% 0.74/1.10     ), true ), true ) ] )
% 0.74/1.10  , clause( 427, [ =( ifeq( student( X ), true, enrolled( X, 
% 0.74/1.10    'sK4_student_enrolled_axiom_Y'( X ) ), true ), true ) ] )
% 0.74/1.10  , clause( 428, [ =( ifeq( student( X ), true, course( 
% 0.74/1.10    'sK4_student_enrolled_axiom_Y'( X ) ), true ), true ) ] )
% 0.74/1.10  , clause( 429, [ =( ifeq( professor( X ), true, teaches( X, 
% 0.74/1.10    'sK3_professor_teaches_Y'( X ) ), true ), true ) ] )
% 0.74/1.10  , clause( 430, [ =( ifeq( professor( X ), true, course( 
% 0.74/1.10    'sK3_professor_teaches_Y'( X ) ), true ), true ) ] )
% 0.74/1.10  , clause( 431, [ =( ifeq( course( X ), true, enrolled( 
% 0.74/1.10    'sK2_course_enrolled_Y'( X ), X ), true ), true ) ] )
% 0.74/1.10  , clause( 432, [ =( ifeq( course( X ), true, student( 
% 0.74/1.10    'sK2_course_enrolled_Y'( X ) ), true ), true ) ] )
% 0.74/1.10  , clause( 433, [ =( ifeq( course( X ), true, teaches( 
% 0.74/1.10    'sK1_course_teaches_Y'( X ), X ), true ), true ) ] )
% 0.74/1.10  , clause( 434, [ =( ifeq( course( X ), true, professor( 
% 0.74/1.10    'sK1_course_teaches_Y'( X ) ), true ), true ) ] )
% 0.74/1.10  , clause( 435, [ =( ifeq( course( X ), true, teaches( coordinatorof( X ), X
% 0.74/1.10     ), true ), true ) ] )
% 0.74/1.10  , clause( 436, [ =( ifeq( teaches( X, Y ), true, ifeq( enrolled( Z, Y ), 
% 0.74/1.10    true, ifeq( course( Y ), true, ifeq( professor( X ), true, ifeq( student( 
% 0.74/1.10    Z ), true, taughtby( Z, X ), true ), true ), true ), true ), true ), true
% 0.74/1.10     ) ] )
% 0.74/1.10  , clause( 437, [ =( enrolled( michael, csc410 ), true ) ] )
% 0.74/1.10  , clause( 438, [ =( coordinatorof( csc410 ), victor ) ] )
% 0.74/1.10  , clause( 439, [ ~( =( taughtby( michael, victor ), true ) ) ] )
% 0.74/1.10  ] ).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  subsumption(
% 0.74/1.10  clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 0.74/1.10  , clause( 419, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 0.74/1.10  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.74/1.10    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  subsumption(
% 0.74/1.10  clause( 4, [ =( student( michael ), true ) ] )
% 0.74/1.10  , clause( 423, [ =( student( michael ), true ) ] )
% 0.74/1.10  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  subsumption(
% 0.74/1.10  clause( 5, [ =( professor( victor ), true ) ] )
% 0.74/1.10  , clause( 424, [ =( professor( victor ), true ) ] )
% 0.74/1.10  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  subsumption(
% 0.74/1.10  clause( 6, [ =( course( csc410 ), true ) ] )
% 0.74/1.10  , clause( 425, [ =( course( csc410 ), true ) ] )
% 0.74/1.10  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  subsumption(
% 0.74/1.10  clause( 16, [ =( ifeq( course( X ), true, teaches( coordinatorof( X ), X )
% 0.74/1.10    , true ), true ) ] )
% 0.74/1.10  , clause( 435, [ =( ifeq( course( X ), true, teaches( coordinatorof( X ), X
% 0.74/1.10     ), true ), true ) ] )
% 0.74/1.10  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  subsumption(
% 0.74/1.10  clause( 17, [ =( ifeq( teaches( X, Y ), true, ifeq( enrolled( Z, Y ), true
% 0.74/1.10    , ifeq( course( Y ), true, ifeq( professor( X ), true, ifeq( student( Z )
% 0.74/1.10    , true, taughtby( Z, X ), true ), true ), true ), true ), true ), true )
% 0.74/1.10     ] )
% 0.74/1.10  , clause( 436, [ =( ifeq( teaches( X, Y ), true, ifeq( enrolled( Z, Y ), 
% 0.74/1.10    true, ifeq( course( Y ), true, ifeq( professor( X ), true, ifeq( student( 
% 0.74/1.10    Z ), true, taughtby( Z, X ), true ), true ), true ), true ), true ), true
% 0.74/1.10     ) ] )
% 0.74/1.10  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.74/1.10    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  subsumption(
% 0.74/1.10  clause( 18, [ =( enrolled( michael, csc410 ), true ) ] )
% 0.74/1.10  , clause( 437, [ =( enrolled( michael, csc410 ), true ) ] )
% 0.74/1.10  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  subsumption(
% 0.74/1.10  clause( 19, [ =( coordinatorof( csc410 ), victor ) ] )
% 0.74/1.10  , clause( 438, [ =( coordinatorof( csc410 ), victor ) ] )
% 0.74/1.10  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  subsumption(
% 0.74/1.10  clause( 20, [ ~( =( taughtby( michael, victor ), true ) ) ] )
% 0.74/1.10  , clause( 439, [ ~( =( taughtby( michael, victor ), true ) ) ] )
% 0.74/1.10  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  eqswap(
% 0.74/1.10  clause( 555, [ =( true, ifeq( course( X ), true, teaches( coordinatorof( X
% 0.74/1.10     ), X ), true ) ) ] )
% 0.74/1.10  , clause( 16, [ =( ifeq( course( X ), true, teaches( coordinatorof( X ), X
% 0.74/1.10     ), true ), true ) ] )
% 0.74/1.10  , 0, substitution( 0, [ :=( X, X )] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  paramod(
% 0.74/1.10  clause( 558, [ =( true, ifeq( true, true, teaches( coordinatorof( csc410 )
% 0.74/1.10    , csc410 ), true ) ) ] )
% 0.74/1.10  , clause( 6, [ =( course( csc410 ), true ) ] )
% 0.74/1.10  , 0, clause( 555, [ =( true, ifeq( course( X ), true, teaches( 
% 0.74/1.10    coordinatorof( X ), X ), true ) ) ] )
% 0.74/1.10  , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, csc410 )] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  paramod(
% 0.74/1.10  clause( 559, [ =( true, teaches( coordinatorof( csc410 ), csc410 ) ) ] )
% 0.74/1.10  , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 0.74/1.10  , 0, clause( 558, [ =( true, ifeq( true, true, teaches( coordinatorof( 
% 0.74/1.10    csc410 ), csc410 ), true ) ) ] )
% 0.74/1.10  , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, teaches( coordinatorof( 
% 0.74/1.10    csc410 ), csc410 ) ), :=( Z, true )] ), substitution( 1, [] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  paramod(
% 0.74/1.10  clause( 560, [ =( true, teaches( victor, csc410 ) ) ] )
% 0.74/1.10  , clause( 19, [ =( coordinatorof( csc410 ), victor ) ] )
% 0.74/1.10  , 0, clause( 559, [ =( true, teaches( coordinatorof( csc410 ), csc410 ) ) ]
% 0.74/1.10     )
% 0.74/1.10  , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  eqswap(
% 0.74/1.10  clause( 561, [ =( teaches( victor, csc410 ), true ) ] )
% 0.74/1.10  , clause( 560, [ =( true, teaches( victor, csc410 ) ) ] )
% 0.74/1.10  , 0, substitution( 0, [] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  subsumption(
% 0.74/1.10  clause( 95, [ =( teaches( victor, csc410 ), true ) ] )
% 0.74/1.10  , clause( 561, [ =( teaches( victor, csc410 ), true ) ] )
% 0.74/1.10  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  eqswap(
% 0.74/1.10  clause( 563, [ =( true, ifeq( teaches( X, Y ), true, ifeq( enrolled( Z, Y )
% 0.74/1.10    , true, ifeq( course( Y ), true, ifeq( professor( X ), true, ifeq( 
% 0.74/1.10    student( Z ), true, taughtby( Z, X ), true ), true ), true ), true ), 
% 0.74/1.10    true ) ) ] )
% 0.74/1.10  , clause( 17, [ =( ifeq( teaches( X, Y ), true, ifeq( enrolled( Z, Y ), 
% 0.74/1.10    true, ifeq( course( Y ), true, ifeq( professor( X ), true, ifeq( student( 
% 0.74/1.10    Z ), true, taughtby( Z, X ), true ), true ), true ), true ), true ), true
% 0.74/1.10     ) ] )
% 0.74/1.10  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  paramod(
% 0.74/1.10  clause( 569, [ =( true, ifeq( teaches( X, csc410 ), true, ifeq( true, true
% 0.74/1.10    , ifeq( course( csc410 ), true, ifeq( professor( X ), true, ifeq( student( 
% 0.74/1.10    michael ), true, taughtby( michael, X ), true ), true ), true ), true ), 
% 0.74/1.10    true ) ) ] )
% 0.74/1.10  , clause( 18, [ =( enrolled( michael, csc410 ), true ) ] )
% 0.74/1.10  , 0, clause( 563, [ =( true, ifeq( teaches( X, Y ), true, ifeq( enrolled( Z
% 0.74/1.10    , Y ), true, ifeq( course( Y ), true, ifeq( professor( X ), true, ifeq( 
% 0.74/1.10    student( Z ), true, taughtby( Z, X ), true ), true ), true ), true ), 
% 0.74/1.10    true ) ) ] )
% 0.74/1.10  , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, csc410
% 0.74/1.10     ), :=( Z, michael )] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  paramod(
% 0.74/1.10  clause( 570, [ =( true, ifeq( teaches( X, csc410 ), true, ifeq( course( 
% 0.74/1.10    csc410 ), true, ifeq( professor( X ), true, ifeq( student( michael ), 
% 0.74/1.10    true, taughtby( michael, X ), true ), true ), true ), true ) ) ] )
% 0.74/1.10  , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 0.74/1.10  , 0, clause( 569, [ =( true, ifeq( teaches( X, csc410 ), true, ifeq( true, 
% 0.74/1.10    true, ifeq( course( csc410 ), true, ifeq( professor( X ), true, ifeq( 
% 0.74/1.10    student( michael ), true, taughtby( michael, X ), true ), true ), true )
% 0.74/1.10    , true ), true ) ) ] )
% 0.74/1.10  , 0, 7, substitution( 0, [ :=( X, true ), :=( Y, ifeq( course( csc410 ), 
% 0.74/1.10    true, ifeq( professor( X ), true, ifeq( student( michael ), true, 
% 0.74/1.10    taughtby( michael, X ), true ), true ), true ) ), :=( Z, true )] ), 
% 0.74/1.10    substitution( 1, [ :=( X, X )] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  paramod(
% 0.74/1.10  clause( 571, [ =( true, ifeq( teaches( X, csc410 ), true, ifeq( true, true
% 0.74/1.10    , ifeq( professor( X ), true, ifeq( student( michael ), true, taughtby( 
% 0.74/1.10    michael, X ), true ), true ), true ), true ) ) ] )
% 0.74/1.10  , clause( 6, [ =( course( csc410 ), true ) ] )
% 0.74/1.10  , 0, clause( 570, [ =( true, ifeq( teaches( X, csc410 ), true, ifeq( course( 
% 0.74/1.10    csc410 ), true, ifeq( professor( X ), true, ifeq( student( michael ), 
% 0.74/1.10    true, taughtby( michael, X ), true ), true ), true ), true ) ) ] )
% 0.74/1.10  , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  paramod(
% 0.74/1.10  clause( 572, [ =( true, ifeq( teaches( X, csc410 ), true, ifeq( professor( 
% 0.74/1.10    X ), true, ifeq( student( michael ), true, taughtby( michael, X ), true )
% 0.74/1.10    , true ), true ) ) ] )
% 0.74/1.10  , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 0.74/1.10  , 0, clause( 571, [ =( true, ifeq( teaches( X, csc410 ), true, ifeq( true, 
% 0.74/1.10    true, ifeq( professor( X ), true, ifeq( student( michael ), true, 
% 0.74/1.10    taughtby( michael, X ), true ), true ), true ), true ) ) ] )
% 0.74/1.10  , 0, 7, substitution( 0, [ :=( X, true ), :=( Y, ifeq( professor( X ), true
% 0.74/1.10    , ifeq( student( michael ), true, taughtby( michael, X ), true ), true )
% 0.74/1.10     ), :=( Z, true )] ), substitution( 1, [ :=( X, X )] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  paramod(
% 0.74/1.10  clause( 573, [ =( true, ifeq( teaches( X, csc410 ), true, ifeq( professor( 
% 0.74/1.10    X ), true, ifeq( true, true, taughtby( michael, X ), true ), true ), true
% 0.74/1.10     ) ) ] )
% 0.74/1.10  , clause( 4, [ =( student( michael ), true ) ] )
% 0.74/1.10  , 0, clause( 572, [ =( true, ifeq( teaches( X, csc410 ), true, ifeq( 
% 0.74/1.10    professor( X ), true, ifeq( student( michael ), true, taughtby( michael, 
% 0.74/1.10    X ), true ), true ), true ) ) ] )
% 0.74/1.10  , 0, 12, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  paramod(
% 0.74/1.10  clause( 574, [ =( true, ifeq( teaches( X, csc410 ), true, ifeq( professor( 
% 0.74/1.10    X ), true, taughtby( michael, X ), true ), true ) ) ] )
% 0.74/1.10  , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 0.74/1.10  , 0, clause( 573, [ =( true, ifeq( teaches( X, csc410 ), true, ifeq( 
% 0.74/1.10    professor( X ), true, ifeq( true, true, taughtby( michael, X ), true ), 
% 0.74/1.10    true ), true ) ) ] )
% 0.74/1.10  , 0, 11, substitution( 0, [ :=( X, true ), :=( Y, taughtby( michael, X ) )
% 0.74/1.10    , :=( Z, true )] ), substitution( 1, [ :=( X, X )] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  eqswap(
% 0.74/1.10  clause( 575, [ =( ifeq( teaches( X, csc410 ), true, ifeq( professor( X ), 
% 0.74/1.10    true, taughtby( michael, X ), true ), true ), true ) ] )
% 0.74/1.10  , clause( 574, [ =( true, ifeq( teaches( X, csc410 ), true, ifeq( professor( 
% 0.74/1.10    X ), true, taughtby( michael, X ), true ), true ) ) ] )
% 0.74/1.10  , 0, substitution( 0, [ :=( X, X )] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  subsumption(
% 0.74/1.10  clause( 108, [ =( ifeq( teaches( X, csc410 ), true, ifeq( professor( X ), 
% 0.74/1.10    true, taughtby( michael, X ), true ), true ), true ) ] )
% 0.74/1.10  , clause( 575, [ =( ifeq( teaches( X, csc410 ), true, ifeq( professor( X )
% 0.74/1.10    , true, taughtby( michael, X ), true ), true ), true ) ] )
% 0.74/1.10  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  eqswap(
% 0.74/1.10  clause( 577, [ =( true, ifeq( teaches( X, csc410 ), true, ifeq( professor( 
% 0.74/1.10    X ), true, taughtby( michael, X ), true ), true ) ) ] )
% 0.74/1.10  , clause( 108, [ =( ifeq( teaches( X, csc410 ), true, ifeq( professor( X )
% 0.74/1.10    , true, taughtby( michael, X ), true ), true ), true ) ] )
% 0.74/1.10  , 0, substitution( 0, [ :=( X, X )] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  eqswap(
% 0.74/1.10  clause( 581, [ ~( =( true, taughtby( michael, victor ) ) ) ] )
% 0.74/1.10  , clause( 20, [ ~( =( taughtby( michael, victor ), true ) ) ] )
% 0.74/1.10  , 0, substitution( 0, [] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  paramod(
% 0.74/1.10  clause( 582, [ =( true, ifeq( true, true, ifeq( professor( victor ), true, 
% 0.74/1.10    taughtby( michael, victor ), true ), true ) ) ] )
% 0.74/1.10  , clause( 95, [ =( teaches( victor, csc410 ), true ) ] )
% 0.74/1.10  , 0, clause( 577, [ =( true, ifeq( teaches( X, csc410 ), true, ifeq( 
% 0.74/1.10    professor( X ), true, taughtby( michael, X ), true ), true ) ) ] )
% 0.74/1.10  , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, victor )] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  paramod(
% 0.74/1.10  clause( 583, [ =( true, ifeq( professor( victor ), true, taughtby( michael
% 0.74/1.10    , victor ), true ) ) ] )
% 0.74/1.10  , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 0.74/1.10  , 0, clause( 582, [ =( true, ifeq( true, true, ifeq( professor( victor ), 
% 0.74/1.10    true, taughtby( michael, victor ), true ), true ) ) ] )
% 0.74/1.10  , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, ifeq( professor( victor )
% 0.74/1.10    , true, taughtby( michael, victor ), true ) ), :=( Z, true )] ), 
% 0.74/1.10    substitution( 1, [] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  paramod(
% 0.74/1.10  clause( 584, [ =( true, ifeq( true, true, taughtby( michael, victor ), true
% 0.74/1.10     ) ) ] )
% 0.74/1.10  , clause( 5, [ =( professor( victor ), true ) ] )
% 0.74/1.10  , 0, clause( 583, [ =( true, ifeq( professor( victor ), true, taughtby( 
% 0.74/1.10    michael, victor ), true ) ) ] )
% 0.74/1.10  , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  paramod(
% 0.74/1.10  clause( 585, [ =( true, taughtby( michael, victor ) ) ] )
% 0.74/1.10  , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 0.74/1.10  , 0, clause( 584, [ =( true, ifeq( true, true, taughtby( michael, victor )
% 0.74/1.10    , true ) ) ] )
% 0.74/1.10  , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, taughtby( michael, victor
% 0.74/1.10     ) ), :=( Z, true )] ), substitution( 1, [] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  resolution(
% 0.74/1.10  clause( 586, [] )
% 0.74/1.10  , clause( 581, [ ~( =( true, taughtby( michael, victor ) ) ) ] )
% 0.74/1.10  , 0, clause( 585, [ =( true, taughtby( michael, victor ) ) ] )
% 0.74/1.10  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  subsumption(
% 0.74/1.10  clause( 417, [] )
% 0.74/1.10  , clause( 586, [] )
% 0.74/1.10  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  end.
% 0.74/1.10  
% 0.74/1.10  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.74/1.10  
% 0.74/1.10  Memory use:
% 0.74/1.10  
% 0.74/1.10  space for terms:        4697
% 0.74/1.10  space for clauses:      38218
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  clauses generated:      1153
% 0.74/1.10  clauses kept:           418
% 0.74/1.10  clauses selected:       181
% 0.74/1.10  clauses deleted:        0
% 0.74/1.10  clauses inuse deleted:  0
% 0.74/1.10  
% 0.74/1.10  subsentry:          741
% 0.74/1.10  literals s-matched: 361
% 0.74/1.10  literals matched:   361
% 0.74/1.10  full subsumption:   0
% 0.74/1.10  
% 0.74/1.10  checksum:           240450717
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  Bliksem ended
%------------------------------------------------------------------------------