TSTP Solution File: HEN010-4 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : HEN010-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n015.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 : Sat Jul 16 12:47:11 EDT 2022
% Result : Unsatisfiable 1.14s 1.52s
% Output : Refutation 1.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : HEN010-4 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n015.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 : Fri Jul 1 14:41:13 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.14/1.52 *** allocated 10000 integers for termspace/termends
% 1.14/1.52 *** allocated 10000 integers for clauses
% 1.14/1.52 *** allocated 10000 integers for justifications
% 1.14/1.52 Bliksem 1.12
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52 Automatic Strategy Selection
% 1.14/1.52
% 1.14/1.52 Clauses:
% 1.14/1.52 [
% 1.14/1.52 [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ],
% 1.14/1.52 [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ],
% 1.14/1.52 [ 'less_equal'( divide( X, Y ), X ) ],
% 1.14/1.52 [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), divide( divide(
% 1.14/1.52 X, Z ), Y ) ) ],
% 1.14/1.52 [ 'less_equal'( zero, X ) ],
% 1.14/1.52 [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y ) ],
% 1.14/1.52 [ 'less_equal'( X, identity ) ],
% 1.14/1.52 [ =( divide( X, identity ), zero ) ],
% 1.14/1.52 [ =( divide( zero, X ), zero ) ],
% 1.14/1.52 [ =( divide( X, X ), zero ) ],
% 1.14/1.52 [ =( divide( a, zero ), a ) ],
% 1.14/1.52 [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, Z ) ), 'less_equal'( X
% 1.14/1.52 , Z ) ],
% 1.14/1.52 [ ~( 'less_equal'( divide( X, Y ), Z ) ), 'less_equal'( divide( X, Z ),
% 1.14/1.52 Y ) ],
% 1.14/1.52 [ ~( 'less_equal'( X, Y ) ), 'less_equal'( divide( Z, Y ), divide( Z, X
% 1.14/1.52 ) ) ],
% 1.14/1.52 [ ~( 'less_equal'( X, Y ) ), 'less_equal'( divide( X, Z ), divide( Y, Z
% 1.14/1.52 ) ) ],
% 1.14/1.52 [ =( divide( identity, divide( identity, divide( identity, X ) ) ),
% 1.14/1.52 divide( identity, X ) ) ],
% 1.14/1.52 [ ~( =( divide( identity, a ), divide( divide( identity, a ), divide(
% 1.14/1.52 identity, divide( identity, a ) ) ) ) ) ]
% 1.14/1.52 ] .
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52 percentage equality = 0.346154, percentage horn = 1.000000
% 1.14/1.52 This is a problem with some equality
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52 Options Used:
% 1.14/1.52
% 1.14/1.52 useres = 1
% 1.14/1.52 useparamod = 1
% 1.14/1.52 useeqrefl = 1
% 1.14/1.52 useeqfact = 1
% 1.14/1.52 usefactor = 1
% 1.14/1.52 usesimpsplitting = 0
% 1.14/1.52 usesimpdemod = 5
% 1.14/1.52 usesimpres = 3
% 1.14/1.52
% 1.14/1.52 resimpinuse = 1000
% 1.14/1.52 resimpclauses = 20000
% 1.14/1.52 substype = eqrewr
% 1.14/1.52 backwardsubs = 1
% 1.14/1.52 selectoldest = 5
% 1.14/1.52
% 1.14/1.52 litorderings [0] = split
% 1.14/1.52 litorderings [1] = extend the termordering, first sorting on arguments
% 1.14/1.52
% 1.14/1.52 termordering = kbo
% 1.14/1.52
% 1.14/1.52 litapriori = 0
% 1.14/1.52 termapriori = 1
% 1.14/1.52 litaposteriori = 0
% 1.14/1.52 termaposteriori = 0
% 1.14/1.52 demodaposteriori = 0
% 1.14/1.52 ordereqreflfact = 0
% 1.14/1.52
% 1.14/1.52 litselect = negord
% 1.14/1.52
% 1.14/1.52 maxweight = 15
% 1.14/1.52 maxdepth = 30000
% 1.14/1.52 maxlength = 115
% 1.14/1.52 maxnrvars = 195
% 1.14/1.52 excuselevel = 1
% 1.14/1.52 increasemaxweight = 1
% 1.14/1.52
% 1.14/1.52 maxselected = 10000000
% 1.14/1.52 maxnrclauses = 10000000
% 1.14/1.52
% 1.14/1.52 showgenerated = 0
% 1.14/1.52 showkept = 0
% 1.14/1.52 showselected = 0
% 1.14/1.52 showdeleted = 0
% 1.14/1.52 showresimp = 1
% 1.14/1.52 showstatus = 2000
% 1.14/1.52
% 1.14/1.52 prologoutput = 1
% 1.14/1.52 nrgoals = 5000000
% 1.14/1.52 totalproof = 1
% 1.14/1.52
% 1.14/1.52 Symbols occurring in the translation:
% 1.14/1.52
% 1.14/1.52 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.14/1.52 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 1.14/1.52 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 1.14/1.52 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.14/1.52 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.14/1.52 'less_equal' [41, 2] (w:1, o:45, a:1, s:1, b:0),
% 1.14/1.52 divide [42, 2] (w:1, o:46, a:1, s:1, b:0),
% 1.14/1.52 zero [43, 0] (w:1, o:11, a:1, s:1, b:0),
% 1.14/1.52 identity [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 1.14/1.52 a [46, 0] (w:1, o:14, a:1, s:1, b:0).
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52 Starting Search:
% 1.14/1.52
% 1.14/1.52 Resimplifying inuse:
% 1.14/1.52 Done
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52 Intermediate Status:
% 1.14/1.52 Generated: 31791
% 1.14/1.52 Kept: 2015
% 1.14/1.52 Inuse: 181
% 1.14/1.52 Deleted: 81
% 1.14/1.52 Deletedinuse: 18
% 1.14/1.52
% 1.14/1.52 Resimplifying inuse:
% 1.14/1.52
% 1.14/1.52 Bliksems!, er is een bewijs:
% 1.14/1.52 % SZS status Unsatisfiable
% 1.14/1.52 % SZS output start Refutation
% 1.14/1.52
% 1.14/1.52 clause( 1, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 1.14/1.52 .
% 1.14/1.52 clause( 2, [ 'less_equal'( divide( X, Y ), X ) ] )
% 1.14/1.52 .
% 1.14/1.52 clause( 3, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), divide(
% 1.14/1.52 divide( X, Z ), Y ) ) ] )
% 1.14/1.52 .
% 1.14/1.52 clause( 4, [ 'less_equal'( zero, X ) ] )
% 1.14/1.52 .
% 1.14/1.52 clause( 5, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y
% 1.14/1.52 ) ] )
% 1.14/1.52 .
% 1.14/1.52 clause( 9, [ =( divide( X, X ), zero ) ] )
% 1.14/1.52 .
% 1.14/1.52 clause( 12, [ ~( 'less_equal'( divide( X, Y ), Z ) ), 'less_equal'( divide(
% 1.14/1.52 X, Z ), Y ) ] )
% 1.14/1.52 .
% 1.14/1.52 clause( 13, [ ~( 'less_equal'( X, Y ) ), 'less_equal'( divide( Z, Y ),
% 1.14/1.52 divide( Z, X ) ) ] )
% 1.14/1.52 .
% 1.14/1.52 clause( 15, [ =( divide( identity, divide( identity, divide( identity, X )
% 1.14/1.52 ) ), divide( identity, X ) ) ] )
% 1.14/1.52 .
% 1.14/1.52 clause( 16, [ ~( =( divide( divide( identity, a ), divide( identity, divide(
% 1.14/1.52 identity, a ) ) ), divide( identity, a ) ) ) ] )
% 1.14/1.52 .
% 1.14/1.52 clause( 20, [ 'less_equal'( X, X ) ] )
% 1.14/1.52 .
% 1.14/1.52 clause( 64, [ ~( 'less_equal'( divide( divide( X, Y ), Z ), divide( divide(
% 1.14/1.52 X, Z ), divide( Y, Z ) ) ) ), =( divide( divide( X, Z ), divide( Y, Z ) )
% 1.14/1.52 , divide( divide( X, Y ), Z ) ) ] )
% 1.14/1.52 .
% 1.14/1.52 clause( 69, [ ~( 'less_equal'( X, zero ) ), =( zero, X ) ] )
% 1.14/1.52 .
% 1.14/1.52 clause( 99, [ 'less_equal'( divide( X, divide( X, Y ) ), Y ) ] )
% 1.14/1.52 .
% 1.14/1.52 clause( 109, [ =( divide( X, divide( X, zero ) ), zero ) ] )
% 1.14/1.52 .
% 1.14/1.52 clause( 114, [ 'less_equal'( X, divide( X, zero ) ) ] )
% 1.14/1.52 .
% 1.14/1.52 clause( 137, [ =( divide( X, zero ), X ) ] )
% 1.14/1.52 .
% 1.14/1.52 clause( 1181, [ =( divide( divide( X, Y ), Y ), divide( X, Y ) ) ] )
% 1.14/1.52 .
% 1.14/1.52 clause( 1526, [ =( divide( divide( identity, X ), divide( identity, divide(
% 1.14/1.52 identity, X ) ) ), divide( identity, X ) ) ] )
% 1.14/1.52 .
% 1.14/1.52 clause( 2016, [] )
% 1.14/1.52 .
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52 % SZS output end Refutation
% 1.14/1.52 found a proof!
% 1.14/1.52
% 1.14/1.52 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.14/1.52
% 1.14/1.52 initialclauses(
% 1.14/1.52 [ clause( 2018, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 1.14/1.52 , clause( 2019, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 1.14/1.52 , clause( 2020, [ 'less_equal'( divide( X, Y ), X ) ] )
% 1.14/1.52 , clause( 2021, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ),
% 1.14/1.52 divide( divide( X, Z ), Y ) ) ] )
% 1.14/1.52 , clause( 2022, [ 'less_equal'( zero, X ) ] )
% 1.14/1.52 , clause( 2023, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =(
% 1.14/1.52 X, Y ) ] )
% 1.14/1.52 , clause( 2024, [ 'less_equal'( X, identity ) ] )
% 1.14/1.52 , clause( 2025, [ =( divide( X, identity ), zero ) ] )
% 1.14/1.52 , clause( 2026, [ =( divide( zero, X ), zero ) ] )
% 1.14/1.52 , clause( 2027, [ =( divide( X, X ), zero ) ] )
% 1.14/1.52 , clause( 2028, [ =( divide( a, zero ), a ) ] )
% 1.14/1.52 , clause( 2029, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, Z ) ),
% 1.14/1.52 'less_equal'( X, Z ) ] )
% 1.14/1.52 , clause( 2030, [ ~( 'less_equal'( divide( X, Y ), Z ) ), 'less_equal'(
% 1.14/1.52 divide( X, Z ), Y ) ] )
% 1.14/1.52 , clause( 2031, [ ~( 'less_equal'( X, Y ) ), 'less_equal'( divide( Z, Y ),
% 1.14/1.52 divide( Z, X ) ) ] )
% 1.14/1.52 , clause( 2032, [ ~( 'less_equal'( X, Y ) ), 'less_equal'( divide( X, Z ),
% 1.14/1.52 divide( Y, Z ) ) ] )
% 1.14/1.52 , clause( 2033, [ =( divide( identity, divide( identity, divide( identity,
% 1.14/1.52 X ) ) ), divide( identity, X ) ) ] )
% 1.14/1.52 , clause( 2034, [ ~( =( divide( identity, a ), divide( divide( identity, a
% 1.14/1.52 ), divide( identity, divide( identity, a ) ) ) ) ) ] )
% 1.14/1.52 ] ).
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52 subsumption(
% 1.14/1.52 clause( 1, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 1.14/1.52 , clause( 2019, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 1.14/1.52 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.14/1.52 ), ==>( 1, 1 )] ) ).
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52 subsumption(
% 1.14/1.52 clause( 2, [ 'less_equal'( divide( X, Y ), X ) ] )
% 1.14/1.52 , clause( 2020, [ 'less_equal'( divide( X, Y ), X ) ] )
% 1.14/1.52 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.14/1.52 )] ) ).
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52 subsumption(
% 1.14/1.52 clause( 3, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), divide(
% 1.14/1.52 divide( X, Z ), Y ) ) ] )
% 1.14/1.52 , clause( 2021, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ),
% 1.14/1.52 divide( divide( X, Z ), Y ) ) ] )
% 1.14/1.52 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.14/1.52 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52 subsumption(
% 1.14/1.52 clause( 4, [ 'less_equal'( zero, X ) ] )
% 1.14/1.52 , clause( 2022, [ 'less_equal'( zero, X ) ] )
% 1.14/1.52 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52 subsumption(
% 1.14/1.52 clause( 5, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y
% 1.14/1.52 ) ] )
% 1.14/1.52 , clause( 2023, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =(
% 1.14/1.52 X, Y ) ] )
% 1.14/1.52 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.14/1.52 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52 subsumption(
% 1.14/1.52 clause( 9, [ =( divide( X, X ), zero ) ] )
% 1.14/1.52 , clause( 2027, [ =( divide( X, X ), zero ) ] )
% 1.14/1.52 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52 subsumption(
% 1.14/1.52 clause( 12, [ ~( 'less_equal'( divide( X, Y ), Z ) ), 'less_equal'( divide(
% 1.14/1.52 X, Z ), Y ) ] )
% 1.14/1.52 , clause( 2030, [ ~( 'less_equal'( divide( X, Y ), Z ) ), 'less_equal'(
% 1.14/1.52 divide( X, Z ), Y ) ] )
% 1.14/1.52 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.14/1.52 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52 subsumption(
% 1.14/1.52 clause( 13, [ ~( 'less_equal'( X, Y ) ), 'less_equal'( divide( Z, Y ),
% 1.14/1.52 divide( Z, X ) ) ] )
% 1.14/1.52 , clause( 2031, [ ~( 'less_equal'( X, Y ) ), 'less_equal'( divide( Z, Y ),
% 1.14/1.52 divide( Z, X ) ) ] )
% 1.14/1.52 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.14/1.52 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52 subsumption(
% 1.14/1.52 clause( 15, [ =( divide( identity, divide( identity, divide( identity, X )
% 1.14/1.52 ) ), divide( identity, X ) ) ] )
% 1.14/1.52 , clause( 2033, [ =( divide( identity, divide( identity, divide( identity,
% 1.14/1.52 X ) ) ), divide( identity, X ) ) ] )
% 1.14/1.52 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52 eqswap(
% 1.14/1.52 clause( 2086, [ ~( =( divide( divide( identity, a ), divide( identity,
% 1.14/1.52 divide( identity, a ) ) ), divide( identity, a ) ) ) ] )
% 1.14/1.52 , clause( 2034, [ ~( =( divide( identity, a ), divide( divide( identity, a
% 1.14/1.52 ), divide( identity, divide( identity, a ) ) ) ) ) ] )
% 1.14/1.52 , 0, substitution( 0, [] )).
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52 subsumption(
% 1.14/1.52 clause( 16, [ ~( =( divide( divide( identity, a ), divide( identity, divide(
% 1.14/1.52 identity, a ) ) ), divide( identity, a ) ) ) ] )
% 1.14/1.52 , clause( 2086, [ ~( =( divide( divide( identity, a ), divide( identity,
% 1.14/1.52 divide( identity, a ) ) ), divide( identity, a ) ) ) ] )
% 1.14/1.52 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52 eqswap(
% 1.14/1.52 clause( 2087, [ ~( =( zero, divide( X, Y ) ) ), 'less_equal'( X, Y ) ] )
% 1.14/1.52 , clause( 1, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 1.14/1.52 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52 eqswap(
% 1.14/1.52 clause( 2088, [ =( zero, divide( X, X ) ) ] )
% 1.14/1.52 , clause( 9, [ =( divide( X, X ), zero ) ] )
% 1.14/1.52 , 0, substitution( 0, [ :=( X, X )] )).
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52 resolution(
% 1.14/1.52 clause( 2089, [ 'less_equal'( X, X ) ] )
% 1.14/1.52 , clause( 2087, [ ~( =( zero, divide( X, Y ) ) ), 'less_equal'( X, Y ) ] )
% 1.14/1.52 , 0, clause( 2088, [ =( zero, divide( X, X ) ) ] )
% 1.14/1.52 , 0, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [ :=( X
% 1.14/1.52 , X )] )).
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52 subsumption(
% 1.14/1.52 clause( 20, [ 'less_equal'( X, X ) ] )
% 1.14/1.52 , clause( 2089, [ 'less_equal'( X, X ) ] )
% 1.14/1.52 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52 resolution(
% 1.14/1.52 clause( 2090, [ ~( 'less_equal'( divide( divide( X, Z ), Y ), divide(
% 1.14/1.52 divide( X, Y ), divide( Z, Y ) ) ) ), =( divide( divide( X, Y ), divide(
% 1.14/1.52 Z, Y ) ), divide( divide( X, Z ), Y ) ) ] )
% 1.14/1.52 , clause( 5, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X,
% 1.14/1.52 Y ) ] )
% 1.14/1.52 , 0, clause( 3, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ),
% 1.14/1.52 divide( divide( X, Z ), Y ) ) ] )
% 1.14/1.52 , 0, substitution( 0, [ :=( X, divide( divide( X, Y ), divide( Z, Y ) ) ),
% 1.14/1.52 :=( Y, divide( divide( X, Z ), Y ) )] ), substitution( 1, [ :=( X, X ),
% 1.14/1.52 :=( Y, Y ), :=( Z, Z )] )).
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52 subsumption(
% 1.14/1.52 clause( 64, [ ~( 'less_equal'( divide( divide( X, Y ), Z ), divide( divide(
% 1.14/1.52 X, Z ), divide( Y, Z ) ) ) ), =( divide( divide( X, Z ), divide( Y, Z ) )
% 1.14/1.52 , divide( divide( X, Y ), Z ) ) ] )
% 1.14/1.52 , clause( 2090, [ ~( 'less_equal'( divide( divide( X, Z ), Y ), divide(
% 1.14/1.52 divide( X, Y ), divide( Z, Y ) ) ) ), =( divide( divide( X, Y ), divide(
% 1.14/1.52 Z, Y ) ), divide( divide( X, Z ), Y ) ) ] )
% 1.14/1.52 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 1.14/1.52 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52 resolution(
% 1.14/1.52 clause( 2092, [ ~( 'less_equal'( X, zero ) ), =( zero, X ) ] )
% 1.14/1.52 , clause( 5, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X,
% 1.14/1.52 Y ) ] )
% 1.14/1.52 , 0, clause( 4, [ 'less_equal'( zero, X ) ] )
% 1.14/1.52 , 0, substitution( 0, [ :=( X, zero ), :=( Y, X )] ), substitution( 1, [
% 1.14/1.52 :=( X, X )] )).
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52 subsumption(
% 1.14/1.52 clause( 69, [ ~( 'less_equal'( X, zero ) ), =( zero, X ) ] )
% 1.14/1.52 , clause( 2092, [ ~( 'less_equal'( X, zero ) ), =( zero, X ) ] )
% 1.14/1.52 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 1.14/1.52 1 )] ) ).
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52 resolution(
% 1.14/1.52 clause( 2094, [ 'less_equal'( divide( X, divide( X, Y ) ), Y ) ] )
% 1.14/1.52 , clause( 12, [ ~( 'less_equal'( divide( X, Y ), Z ) ), 'less_equal'(
% 1.14/1.52 divide( X, Z ), Y ) ] )
% 1.14/1.52 , 0, clause( 20, [ 'less_equal'( X, X ) ] )
% 1.14/1.52 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, divide( X, Y ) )] )
% 1.14/1.52 , substitution( 1, [ :=( X, divide( X, Y ) )] )).
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52 subsumption(
% 1.14/1.52 clause( 99, [ 'less_equal'( divide( X, divide( X, Y ) ), Y ) ] )
% 1.14/1.52 , clause( 2094, [ 'less_equal'( divide( X, divide( X, Y ) ), Y ) ] )
% 1.14/1.52 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.14/1.52 )] ) ).
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52 eqswap(
% 1.14/1.52 clause( 2095, [ =( X, zero ), ~( 'less_equal'( X, zero ) ) ] )
% 1.14/1.52 , clause( 69, [ ~( 'less_equal'( X, zero ) ), =( zero, X ) ] )
% 1.14/1.52 , 1, substitution( 0, [ :=( X, X )] )).
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52 resolution(
% 1.14/1.52 clause( 2096, [ =( divide( X, divide( X, zero ) ), zero ) ] )
% 1.14/1.52 , clause( 2095, [ =( X, zero ), ~( 'less_equal'( X, zero ) ) ] )
% 1.14/1.52 , 1, clause( 99, [ 'less_equal'( divide( X, divide( X, Y ) ), Y ) ] )
% 1.14/1.52 , 0, substitution( 0, [ :=( X, divide( X, divide( X, zero ) ) )] ),
% 1.14/1.52 substitution( 1, [ :=( X, X ), :=( Y, zero )] )).
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52 subsumption(
% 1.14/1.52 clause( 109, [ =( divide( X, divide( X, zero ) ), zero ) ] )
% 1.14/1.52 , clause( 2096, [ =( divide( X, divide( X, zero ) ), zero ) ] )
% 1.14/1.52 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52 eqswap(
% 1.14/1.52 clause( 2098, [ =( zero, divide( X, divide( X, zero ) ) ) ] )
% 1.14/1.52 , clause( 109, [ =( divide( X, divide( X, zero ) ), zero ) ] )
% 1.14/1.52 , 0, substitution( 0, [ :=( X, X )] )).
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52 eqswap(
% 1.14/1.52 clause( 2099, [ ~( =( zero, divide( X, Y ) ) ), 'less_equal'( X, Y ) ] )
% 1.14/1.52 , clause( 1, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 1.14/1.52 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52 resolution(
% 1.14/1.52 clause( 2100, [ 'less_equal'( X, divide( X, zero ) ) ] )
% 1.14/1.52 , clause( 2099, [ ~( =( zero, divide( X, Y ) ) ), 'less_equal'( X, Y ) ] )
% 1.14/1.52 , 0, clause( 2098, [ =( zero, divide( X, divide( X, zero ) ) ) ] )
% 1.14/1.52 , 0, substitution( 0, [ :=( X, X ), :=( Y, divide( X, zero ) )] ),
% 1.14/1.52 substitution( 1, [ :=( X, X )] )).
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52 subsumption(
% 1.14/1.52 clause( 114, [ 'less_equal'( X, divide( X, zero ) ) ] )
% 1.14/1.52 , clause( 2100, [ 'less_equal'( X, divide( X, zero ) ) ] )
% 1.14/1.52 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52 resolution(
% 1.14/1.52 clause( 2101, [ ~( 'less_equal'( divide( X, zero ), X ) ), =( X, divide( X
% 1.14/1.52 , zero ) ) ] )
% 1.14/1.52 , clause( 5, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X,
% 1.14/1.52 Y ) ] )
% 1.14/1.52 , 0, clause( 114, [ 'less_equal'( X, divide( X, zero ) ) ] )
% 1.14/1.52 , 0, substitution( 0, [ :=( X, X ), :=( Y, divide( X, zero ) )] ),
% 1.14/1.52 substitution( 1, [ :=( X, X )] )).
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52 resolution(
% 1.14/1.52 clause( 2103, [ =( X, divide( X, zero ) ) ] )
% 1.14/1.52 , clause( 2101, [ ~( 'less_equal'( divide( X, zero ), X ) ), =( X, divide(
% 1.14/1.52 X, zero ) ) ] )
% 1.14/1.52 , 0, clause( 2, [ 'less_equal'( divide( X, Y ), X ) ] )
% 1.14/1.52 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), :=( Y
% 1.14/1.52 , zero )] )).
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52 eqswap(
% 1.14/1.52 clause( 2104, [ =( divide( X, zero ), X ) ] )
% 1.14/1.52 , clause( 2103, [ =( X, divide( X, zero ) ) ] )
% 1.14/1.52 , 0, substitution( 0, [ :=( X, X )] )).
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52 subsumption(
% 1.14/1.52 clause( 137, [ =( divide( X, zero ), X ) ] )
% 1.14/1.52 , clause( 2104, [ =( divide( X, zero ), X ) ] )
% 1.14/1.52 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52 eqswap(
% 1.14/1.52 clause( 2105, [ =( divide( divide( X, Z ), Y ), divide( divide( X, Y ),
% 1.14/1.52 divide( Z, Y ) ) ), ~( 'less_equal'( divide( divide( X, Z ), Y ), divide(
% 1.14/1.52 divide( X, Y ), divide( Z, Y ) ) ) ) ] )
% 1.14/1.52 , clause( 64, [ ~( 'less_equal'( divide( divide( X, Y ), Z ), divide(
% 1.14/1.52 divide( X, Z ), divide( Y, Z ) ) ) ), =( divide( divide( X, Z ), divide(
% 1.14/1.52 Y, Z ) ), divide( divide( X, Y ), Z ) ) ] )
% 1.14/1.52 , 1, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52 resolution(
% 1.14/1.52 clause( 2109, [ =( divide( divide( X, Y ), Y ), divide( divide( X, Y ),
% 1.14/1.52 divide( Y, Y ) ) ), ~( 'less_equal'( divide( Y, Y ), Y ) ) ] )
% 1.14/1.52 , clause( 2105, [ =( divide( divide( X, Z ), Y ), divide( divide( X, Y ),
% 1.14/1.52 divide( Z, Y ) ) ), ~( 'less_equal'( divide( divide( X, Z ), Y ), divide(
% 1.14/1.52 divide( X, Y ), divide( Z, Y ) ) ) ) ] )
% 1.14/1.52 , 1, clause( 13, [ ~( 'less_equal'( X, Y ) ), 'less_equal'( divide( Z, Y )
% 1.14/1.52 , divide( Z, X ) ) ] )
% 1.14/1.52 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y )] ),
% 1.14/1.52 substitution( 1, [ :=( X, divide( Y, Y ) ), :=( Y, Y ), :=( Z, divide( X
% 1.14/1.52 , Y ) )] )).
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52 paramod(
% 1.14/1.52 clause( 2111, [ ~( 'less_equal'( zero, X ) ), =( divide( divide( Y, X ), X
% 1.14/1.52 ), divide( divide( Y, X ), divide( X, X ) ) ) ] )
% 1.14/1.52 , clause( 9, [ =( divide( X, X ), zero ) ] )
% 1.14/1.52 , 0, clause( 2109, [ =( divide( divide( X, Y ), Y ), divide( divide( X, Y )
% 1.14/1.52 , divide( Y, Y ) ) ), ~( 'less_equal'( divide( Y, Y ), Y ) ) ] )
% 1.14/1.52 , 1, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 1.14/1.52 :=( Y, X )] )).
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52 paramod(
% 1.14/1.52 clause( 2113, [ =( divide( divide( X, Y ), Y ), divide( divide( X, Y ),
% 1.14/1.52 zero ) ), ~( 'less_equal'( zero, Y ) ) ] )
% 1.14/1.52 , clause( 9, [ =( divide( X, X ), zero ) ] )
% 1.14/1.52 , 0, clause( 2111, [ ~( 'less_equal'( zero, X ) ), =( divide( divide( Y, X
% 1.14/1.52 ), X ), divide( divide( Y, X ), divide( X, X ) ) ) ] )
% 1.14/1.52 , 1, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, Y ),
% 1.14/1.52 :=( Y, X )] )).
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52 paramod(
% 1.14/1.52 clause( 2114, [ =( divide( divide( X, Y ), Y ), divide( X, Y ) ), ~(
% 1.14/1.52 'less_equal'( zero, Y ) ) ] )
% 1.14/1.52 , clause( 137, [ =( divide( X, zero ), X ) ] )
% 1.14/1.52 , 0, clause( 2113, [ =( divide( divide( X, Y ), Y ), divide( divide( X, Y )
% 1.14/1.52 , zero ) ), ~( 'less_equal'( zero, Y ) ) ] )
% 1.14/1.52 , 0, 6, substitution( 0, [ :=( X, divide( X, Y ) )] ), substitution( 1, [
% 1.14/1.52 :=( X, X ), :=( Y, Y )] )).
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52 resolution(
% 1.14/1.52 clause( 2115, [ =( divide( divide( X, Y ), Y ), divide( X, Y ) ) ] )
% 1.14/1.52 , clause( 2114, [ =( divide( divide( X, Y ), Y ), divide( X, Y ) ), ~(
% 1.14/1.52 'less_equal'( zero, Y ) ) ] )
% 1.14/1.52 , 1, clause( 4, [ 'less_equal'( zero, X ) ] )
% 1.14/1.52 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 1.14/1.52 , Y )] )).
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52 subsumption(
% 1.14/1.52 clause( 1181, [ =( divide( divide( X, Y ), Y ), divide( X, Y ) ) ] )
% 1.14/1.52 , clause( 2115, [ =( divide( divide( X, Y ), Y ), divide( X, Y ) ) ] )
% 1.14/1.52 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.14/1.52 )] ) ).
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52 eqswap(
% 1.14/1.52 clause( 2118, [ =( divide( X, Y ), divide( divide( X, Y ), Y ) ) ] )
% 1.14/1.52 , clause( 1181, [ =( divide( divide( X, Y ), Y ), divide( X, Y ) ) ] )
% 1.14/1.52 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52 paramod(
% 1.14/1.52 clause( 2120, [ =( divide( identity, divide( identity, divide( identity, X
% 1.14/1.52 ) ) ), divide( divide( identity, X ), divide( identity, divide( identity
% 1.14/1.52 , X ) ) ) ) ] )
% 1.14/1.52 , clause( 15, [ =( divide( identity, divide( identity, divide( identity, X
% 1.14/1.52 ) ) ), divide( identity, X ) ) ] )
% 1.14/1.52 , 0, clause( 2118, [ =( divide( X, Y ), divide( divide( X, Y ), Y ) ) ] )
% 1.14/1.52 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 1.14/1.52 identity ), :=( Y, divide( identity, divide( identity, X ) ) )] )).
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52 paramod(
% 1.14/1.52 clause( 2121, [ =( divide( identity, X ), divide( divide( identity, X ),
% 1.14/1.52 divide( identity, divide( identity, X ) ) ) ) ] )
% 1.14/1.52 , clause( 15, [ =( divide( identity, divide( identity, divide( identity, X
% 1.14/1.52 ) ) ), divide( identity, X ) ) ] )
% 1.14/1.52 , 0, clause( 2120, [ =( divide( identity, divide( identity, divide(
% 1.14/1.52 identity, X ) ) ), divide( divide( identity, X ), divide( identity,
% 1.14/1.52 divide( identity, X ) ) ) ) ] )
% 1.14/1.52 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.14/1.52 ).
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52 eqswap(
% 1.14/1.52 clause( 2123, [ =( divide( divide( identity, X ), divide( identity, divide(
% 1.14/1.52 identity, X ) ) ), divide( identity, X ) ) ] )
% 1.14/1.52 , clause( 2121, [ =( divide( identity, X ), divide( divide( identity, X ),
% 1.14/1.52 divide( identity, divide( identity, X ) ) ) ) ] )
% 1.14/1.52 , 0, substitution( 0, [ :=( X, X )] )).
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52 subsumption(
% 1.14/1.52 clause( 1526, [ =( divide( divide( identity, X ), divide( identity, divide(
% 1.14/1.52 identity, X ) ) ), divide( identity, X ) ) ] )
% 1.14/1.52 , clause( 2123, [ =( divide( divide( identity, X ), divide( identity,
% 1.14/1.52 divide( identity, X ) ) ), divide( identity, X ) ) ] )
% 1.14/1.52 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52 paramod(
% 1.14/1.52 clause( 2127, [ ~( =( divide( identity, a ), divide( identity, a ) ) ) ] )
% 1.14/1.52 , clause( 1526, [ =( divide( divide( identity, X ), divide( identity,
% 1.14/1.52 divide( identity, X ) ) ), divide( identity, X ) ) ] )
% 1.14/1.52 , 0, clause( 16, [ ~( =( divide( divide( identity, a ), divide( identity,
% 1.14/1.52 divide( identity, a ) ) ), divide( identity, a ) ) ) ] )
% 1.14/1.52 , 0, 2, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52 eqrefl(
% 1.14/1.52 clause( 2128, [] )
% 1.14/1.52 , clause( 2127, [ ~( =( divide( identity, a ), divide( identity, a ) ) ) ]
% 1.14/1.52 )
% 1.14/1.52 , 0, substitution( 0, [] )).
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52 subsumption(
% 1.14/1.52 clause( 2016, [] )
% 1.14/1.52 , clause( 2128, [] )
% 1.14/1.52 , substitution( 0, [] ), permutation( 0, [] ) ).
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52 end.
% 1.14/1.52
% 1.14/1.52 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.14/1.52
% 1.14/1.52 Memory use:
% 1.14/1.52
% 1.14/1.52 space for terms: 29968
% 1.14/1.52 space for clauses: 88717
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52 clauses generated: 31796
% 1.14/1.52 clauses kept: 2017
% 1.14/1.52 clauses selected: 181
% 1.14/1.52 clauses deleted: 86
% 1.14/1.52 clauses inuse deleted: 23
% 1.14/1.52
% 1.14/1.52 subsentry: 210708
% 1.14/1.52 literals s-matched: 97924
% 1.14/1.52 literals matched: 97622
% 1.14/1.52 full subsumption: 52770
% 1.14/1.52
% 1.14/1.52 checksum: -1635367571
% 1.14/1.52
% 1.14/1.52
% 1.14/1.52 Bliksem ended
%------------------------------------------------------------------------------