TSTP Solution File: SET821-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET821-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n004.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 22:52:17 EDT 2022
% Result : Unsatisfiable 0.43s 1.06s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET821-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Mon Jul 11 02:15:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.43/1.06 *** allocated 10000 integers for termspace/termends
% 0.43/1.06 *** allocated 10000 integers for clauses
% 0.43/1.06 *** allocated 10000 integers for justifications
% 0.43/1.06 Bliksem 1.12
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 Automatic Strategy Selection
% 0.43/1.06
% 0.43/1.06 Clauses:
% 0.43/1.06 [
% 0.43/1.06 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Y, X ) ) ],
% 0.43/1.06 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_uminus'( Y, 'tc_set'( Z ) ),
% 0.43/1.06 Z ) ) ],
% 0.43/1.06 [ 'c_in'( X, Y, Z ), 'c_in'( X, 'c_uminus'( Y, 'tc_set'( Z ) ), Z ) ]
% 0.43/1.06 ,
% 0.43/1.06 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_insert'( T, Y, Z ), Z ) ],
% 0.43/1.06 [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ],
% 0.43/1.06 [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ), =( X, Y
% 0.43/1.06 ) ],
% 0.43/1.06 [ 'c_less'( 'v_a', 'v_b', 'tc_IntDef_Oint' ) ],
% 0.43/1.06 [ 'c_less'( 'v_b', 'v_c', 'tc_IntDef_Oint' ) ],
% 0.43/1.06 [ 'c_in'( 'v_c', X, 'tc_IntDef_Oint' ), ~( 'c_in'( 'v_b', X,
% 0.43/1.06 'tc_IntDef_Oint' ) ), 'c_in'( 'v_a', X, 'tc_IntDef_Oint' ) ],
% 0.43/1.06 [ 'class_Orderings_Oorder'( 'tc_IntDef_Oint' ) ]
% 0.43/1.06 ] .
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 percentage equality = 0.055556, percentage horn = 0.700000
% 0.43/1.06 This is a problem with some equality
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 Options Used:
% 0.43/1.06
% 0.43/1.06 useres = 1
% 0.43/1.06 useparamod = 1
% 0.43/1.06 useeqrefl = 1
% 0.43/1.06 useeqfact = 1
% 0.43/1.06 usefactor = 1
% 0.43/1.06 usesimpsplitting = 0
% 0.43/1.06 usesimpdemod = 5
% 0.43/1.06 usesimpres = 3
% 0.43/1.06
% 0.43/1.06 resimpinuse = 1000
% 0.43/1.06 resimpclauses = 20000
% 0.43/1.06 substype = eqrewr
% 0.43/1.06 backwardsubs = 1
% 0.43/1.06 selectoldest = 5
% 0.43/1.06
% 0.43/1.06 litorderings [0] = split
% 0.43/1.06 litorderings [1] = extend the termordering, first sorting on arguments
% 0.43/1.06
% 0.43/1.06 termordering = kbo
% 0.43/1.06
% 0.43/1.06 litapriori = 0
% 0.43/1.06 termapriori = 1
% 0.43/1.06 litaposteriori = 0
% 0.43/1.06 termaposteriori = 0
% 0.43/1.06 demodaposteriori = 0
% 0.43/1.06 ordereqreflfact = 0
% 0.43/1.06
% 0.43/1.06 litselect = negord
% 0.43/1.06
% 0.43/1.06 maxweight = 15
% 0.43/1.06 maxdepth = 30000
% 0.43/1.06 maxlength = 115
% 0.43/1.06 maxnrvars = 195
% 0.43/1.06 excuselevel = 1
% 0.43/1.06 increasemaxweight = 1
% 0.43/1.06
% 0.43/1.06 maxselected = 10000000
% 0.43/1.06 maxnrclauses = 10000000
% 0.43/1.06
% 0.43/1.06 showgenerated = 0
% 0.43/1.06 showkept = 0
% 0.43/1.06 showselected = 0
% 0.43/1.06 showdeleted = 0
% 0.43/1.06 showresimp = 1
% 0.43/1.06 showstatus = 2000
% 0.43/1.06
% 0.43/1.06 prologoutput = 1
% 0.43/1.06 nrgoals = 5000000
% 0.43/1.06 totalproof = 1
% 0.43/1.06
% 0.43/1.06 Symbols occurring in the translation:
% 0.43/1.06
% 0.43/1.06 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.43/1.06 . [1, 2] (w:1, o:28, a:1, s:1, b:0),
% 0.43/1.06 ! [4, 1] (w:0, o:21, a:1, s:1, b:0),
% 0.43/1.06 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.06 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.06 'class_Orderings_Oorder' [40, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.43/1.06 'c_less' [42, 3] (w:1, o:54, a:1, s:1, b:0),
% 0.43/1.06 'c_in' [45, 3] (w:1, o:55, a:1, s:1, b:0),
% 0.43/1.06 'tc_set' [46, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.43/1.06 'c_uminus' [47, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.43/1.06 'c_insert' [51, 3] (w:1, o:56, a:1, s:1, b:0),
% 0.43/1.06 'v_a' [52, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.43/1.06 'v_b' [53, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.43/1.06 'tc_IntDef_Oint' [54, 0] (w:1, o:18, a:1, s:1, b:0),
% 0.43/1.06 'v_c' [55, 0] (w:1, o:19, a:1, s:1, b:0).
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 Starting Search:
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 Bliksems!, er is een bewijs:
% 0.43/1.06 % SZS status Unsatisfiable
% 0.43/1.06 % SZS output start Refutation
% 0.43/1.06
% 0.43/1.06 clause( 0, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Y, X ) ) ]
% 0.43/1.06 )
% 0.43/1.06 .
% 0.43/1.06 clause( 1, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_uminus'( Y, 'tc_set'(
% 0.43/1.06 Z ) ), Z ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 3, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_insert'( T, Y, Z ), Z )
% 0.43/1.06 ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 4, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 5, [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z, T )
% 0.43/1.06 , =( X, Y ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 6, [ 'c_less'( 'v_a', 'v_b', 'tc_IntDef_Oint' ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 7, [ 'c_less'( 'v_b', 'v_c', 'tc_IntDef_Oint' ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 8, [ 'c_in'( 'v_c', X, 'tc_IntDef_Oint' ), ~( 'c_in'( 'v_b', X,
% 0.43/1.06 'tc_IntDef_Oint' ) ), 'c_in'( 'v_a', X, 'tc_IntDef_Oint' ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 9, [ 'class_Orderings_Oorder'( 'tc_IntDef_Oint' ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 10, [ ~( 'c_less'( X, X, 'tc_IntDef_Oint' ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 11, [ ~( 'c_in'( X, 'c_uminus'( 'c_insert'( X, Y, Z ), 'tc_set'( Z
% 0.43/1.06 ) ), Z ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 13, [ 'c_in'( X, 'c_insert'( Y, 'c_insert'( X, Z, T ), T ), T ) ]
% 0.43/1.06 )
% 0.43/1.06 .
% 0.43/1.06 clause( 16, [ ~( 'c_in'( X, 'c_uminus'( 'c_insert'( Y, 'c_insert'( X, Z, T
% 0.43/1.06 ), T ), 'tc_set'( T ) ), T ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 27, [ 'c_in'( 'v_c', 'c_insert'( 'v_b', X, 'tc_IntDef_Oint' ),
% 0.43/1.06 'tc_IntDef_Oint' ), 'c_in'( 'v_a', 'c_insert'( 'v_b', X, 'tc_IntDef_Oint'
% 0.43/1.06 ), 'tc_IntDef_Oint' ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 83, [ 'c_in'( 'v_a', 'c_insert'( 'v_b', X, 'tc_IntDef_Oint' ),
% 0.43/1.06 'tc_IntDef_Oint' ), 'c_in'( 'v_c', X, 'tc_IntDef_Oint' ), =( 'v_c', 'v_b'
% 0.43/1.06 ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 86, [ 'c_in'( 'v_a', 'c_insert'( 'v_b', X, 'tc_IntDef_Oint' ),
% 0.43/1.06 'tc_IntDef_Oint' ), 'c_in'( 'v_c', X, 'tc_IntDef_Oint' ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 87, [ 'c_in'( 'v_c', X, 'tc_IntDef_Oint' ), 'c_in'( 'v_a', X,
% 0.43/1.06 'tc_IntDef_Oint' ), =( 'v_b', 'v_a' ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 102, [ 'c_in'( 'v_c', X, 'tc_IntDef_Oint' ), 'c_in'( 'v_a', X,
% 0.43/1.06 'tc_IntDef_Oint' ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 113, [ 'c_in'( 'v_a', 'c_uminus'( 'c_insert'( 'v_c', X,
% 0.43/1.06 'tc_IntDef_Oint' ), 'tc_set'( 'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint' ) ]
% 0.43/1.06 )
% 0.43/1.06 .
% 0.43/1.06 clause( 119, [] )
% 0.43/1.06 .
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 % SZS output end Refutation
% 0.43/1.06 found a proof!
% 0.43/1.06
% 0.43/1.06 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.06
% 0.43/1.06 initialclauses(
% 0.43/1.06 [ clause( 121, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Y, X )
% 0.43/1.06 ) ] )
% 0.43/1.06 , clause( 122, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_uminus'( Y,
% 0.43/1.07 'tc_set'( Z ) ), Z ) ) ] )
% 0.43/1.07 , clause( 123, [ 'c_in'( X, Y, Z ), 'c_in'( X, 'c_uminus'( Y, 'tc_set'( Z )
% 0.43/1.07 ), Z ) ] )
% 0.43/1.07 , clause( 124, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_insert'( T, Y, Z ),
% 0.43/1.07 Z ) ] )
% 0.43/1.07 , clause( 125, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 0.43/1.07 , clause( 126, [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z,
% 0.43/1.07 T ), =( X, Y ) ] )
% 0.43/1.07 , clause( 127, [ 'c_less'( 'v_a', 'v_b', 'tc_IntDef_Oint' ) ] )
% 0.43/1.07 , clause( 128, [ 'c_less'( 'v_b', 'v_c', 'tc_IntDef_Oint' ) ] )
% 0.43/1.07 , clause( 129, [ 'c_in'( 'v_c', X, 'tc_IntDef_Oint' ), ~( 'c_in'( 'v_b', X
% 0.43/1.07 , 'tc_IntDef_Oint' ) ), 'c_in'( 'v_a', X, 'tc_IntDef_Oint' ) ] )
% 0.43/1.07 , clause( 130, [ 'class_Orderings_Oorder'( 'tc_IntDef_Oint' ) ] )
% 0.43/1.07 ] ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 0, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Y, X ) ) ]
% 0.43/1.07 )
% 0.43/1.07 , clause( 121, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Y, X )
% 0.43/1.07 ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.07 ), ==>( 1, 1 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 1, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_uminus'( Y, 'tc_set'(
% 0.43/1.07 Z ) ), Z ) ) ] )
% 0.43/1.07 , clause( 122, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_uminus'( Y,
% 0.43/1.07 'tc_set'( Z ) ), Z ) ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.43/1.07 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 3, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_insert'( T, Y, Z ), Z )
% 0.43/1.07 ] )
% 0.43/1.07 , clause( 124, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_insert'( T, Y, Z ),
% 0.43/1.07 Z ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.43/1.07 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 4, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 0.43/1.07 , clause( 125, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.43/1.07 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 5, [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z, T )
% 0.43/1.07 , =( X, Y ) ] )
% 0.43/1.07 , clause( 126, [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z,
% 0.43/1.07 T ), =( X, Y ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.43/1.07 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 6, [ 'c_less'( 'v_a', 'v_b', 'tc_IntDef_Oint' ) ] )
% 0.43/1.07 , clause( 127, [ 'c_less'( 'v_a', 'v_b', 'tc_IntDef_Oint' ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 7, [ 'c_less'( 'v_b', 'v_c', 'tc_IntDef_Oint' ) ] )
% 0.43/1.07 , clause( 128, [ 'c_less'( 'v_b', 'v_c', 'tc_IntDef_Oint' ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 8, [ 'c_in'( 'v_c', X, 'tc_IntDef_Oint' ), ~( 'c_in'( 'v_b', X,
% 0.43/1.07 'tc_IntDef_Oint' ) ), 'c_in'( 'v_a', X, 'tc_IntDef_Oint' ) ] )
% 0.43/1.07 , clause( 129, [ 'c_in'( 'v_c', X, 'tc_IntDef_Oint' ), ~( 'c_in'( 'v_b', X
% 0.43/1.07 , 'tc_IntDef_Oint' ) ), 'c_in'( 'v_a', X, 'tc_IntDef_Oint' ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.43/1.07 1 ), ==>( 2, 2 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 9, [ 'class_Orderings_Oorder'( 'tc_IntDef_Oint' ) ] )
% 0.43/1.07 , clause( 130, [ 'class_Orderings_Oorder'( 'tc_IntDef_Oint' ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 136, [ ~( 'c_less'( X, X, 'tc_IntDef_Oint' ) ) ] )
% 0.43/1.07 , clause( 0, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Y, X ) )
% 0.43/1.07 ] )
% 0.43/1.07 , 0, clause( 9, [ 'class_Orderings_Oorder'( 'tc_IntDef_Oint' ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, 'tc_IntDef_Oint' ), :=( Y, X )] ),
% 0.43/1.07 substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 10, [ ~( 'c_less'( X, X, 'tc_IntDef_Oint' ) ) ] )
% 0.43/1.07 , clause( 136, [ ~( 'c_less'( X, X, 'tc_IntDef_Oint' ) ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 137, [ ~( 'c_in'( X, 'c_uminus'( 'c_insert'( X, Y, Z ), 'tc_set'( Z
% 0.43/1.07 ) ), Z ) ) ] )
% 0.43/1.07 , clause( 1, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_uminus'( Y,
% 0.43/1.07 'tc_set'( Z ) ), Z ) ) ] )
% 0.43/1.07 , 0, clause( 4, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'c_insert'( X, Y, Z ) ), :=( Z,
% 0.43/1.07 Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 11, [ ~( 'c_in'( X, 'c_uminus'( 'c_insert'( X, Y, Z ), 'tc_set'( Z
% 0.43/1.07 ) ), Z ) ) ] )
% 0.43/1.07 , clause( 137, [ ~( 'c_in'( X, 'c_uminus'( 'c_insert'( X, Y, Z ), 'tc_set'(
% 0.43/1.07 Z ) ), Z ) ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.43/1.07 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 138, [ 'c_in'( X, 'c_insert'( T, 'c_insert'( X, Y, Z ), Z ), Z ) ]
% 0.43/1.07 )
% 0.43/1.07 , clause( 3, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_insert'( T, Y, Z ), Z
% 0.43/1.07 ) ] )
% 0.43/1.07 , 0, clause( 4, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'c_insert'( X, Y, Z ) ), :=( Z,
% 0.43/1.07 Z ), :=( T, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 0.43/1.07 ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 13, [ 'c_in'( X, 'c_insert'( Y, 'c_insert'( X, Z, T ), T ), T ) ]
% 0.43/1.07 )
% 0.43/1.07 , clause( 138, [ 'c_in'( X, 'c_insert'( T, 'c_insert'( X, Y, Z ), Z ), Z )
% 0.43/1.07 ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] ),
% 0.43/1.07 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 139, [ ~( 'c_in'( X, 'c_uminus'( 'c_insert'( Y, 'c_insert'( X, Z, T
% 0.43/1.07 ), T ), 'tc_set'( T ) ), T ) ) ] )
% 0.43/1.07 , clause( 1, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_uminus'( Y,
% 0.43/1.07 'tc_set'( Z ) ), Z ) ) ] )
% 0.43/1.07 , 0, clause( 13, [ 'c_in'( X, 'c_insert'( Y, 'c_insert'( X, Z, T ), T ), T
% 0.43/1.07 ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'c_insert'( Y, 'c_insert'( X, Z
% 0.43/1.07 , T ), T ) ), :=( Z, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ),
% 0.43/1.07 :=( Z, Z ), :=( T, T )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 16, [ ~( 'c_in'( X, 'c_uminus'( 'c_insert'( Y, 'c_insert'( X, Z, T
% 0.43/1.07 ), T ), 'tc_set'( T ) ), T ) ) ] )
% 0.43/1.07 , clause( 139, [ ~( 'c_in'( X, 'c_uminus'( 'c_insert'( Y, 'c_insert'( X, Z
% 0.43/1.07 , T ), T ), 'tc_set'( T ) ), T ) ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.43/1.07 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 140, [ 'c_in'( 'v_c', 'c_insert'( 'v_b', X, 'tc_IntDef_Oint' ),
% 0.43/1.07 'tc_IntDef_Oint' ), 'c_in'( 'v_a', 'c_insert'( 'v_b', X, 'tc_IntDef_Oint'
% 0.43/1.07 ), 'tc_IntDef_Oint' ) ] )
% 0.43/1.07 , clause( 8, [ 'c_in'( 'v_c', X, 'tc_IntDef_Oint' ), ~( 'c_in'( 'v_b', X,
% 0.43/1.07 'tc_IntDef_Oint' ) ), 'c_in'( 'v_a', X, 'tc_IntDef_Oint' ) ] )
% 0.43/1.07 , 1, clause( 4, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, 'c_insert'( 'v_b', X, 'tc_IntDef_Oint' ) )] )
% 0.43/1.07 , substitution( 1, [ :=( X, 'v_b' ), :=( Y, X ), :=( Z, 'tc_IntDef_Oint'
% 0.43/1.07 )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 27, [ 'c_in'( 'v_c', 'c_insert'( 'v_b', X, 'tc_IntDef_Oint' ),
% 0.43/1.07 'tc_IntDef_Oint' ), 'c_in'( 'v_a', 'c_insert'( 'v_b', X, 'tc_IntDef_Oint'
% 0.43/1.07 ), 'tc_IntDef_Oint' ) ] )
% 0.43/1.07 , clause( 140, [ 'c_in'( 'v_c', 'c_insert'( 'v_b', X, 'tc_IntDef_Oint' ),
% 0.43/1.07 'tc_IntDef_Oint' ), 'c_in'( 'v_a', 'c_insert'( 'v_b', X, 'tc_IntDef_Oint'
% 0.43/1.07 ), 'tc_IntDef_Oint' ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.43/1.07 1 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 141, [ =( Y, X ), ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ),
% 0.43/1.07 'c_in'( X, Z, T ) ] )
% 0.43/1.07 , clause( 5, [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z, T
% 0.43/1.07 ), =( X, Y ) ] )
% 0.43/1.07 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.43/1.07 ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 142, [ =( 'v_b', 'v_c' ), 'c_in'( 'v_c', X, 'tc_IntDef_Oint' ),
% 0.43/1.07 'c_in'( 'v_a', 'c_insert'( 'v_b', X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint'
% 0.43/1.07 ) ] )
% 0.43/1.07 , clause( 141, [ =( Y, X ), ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ),
% 0.43/1.07 'c_in'( X, Z, T ) ] )
% 0.43/1.07 , 1, clause( 27, [ 'c_in'( 'v_c', 'c_insert'( 'v_b', X, 'tc_IntDef_Oint' )
% 0.43/1.07 , 'tc_IntDef_Oint' ), 'c_in'( 'v_a', 'c_insert'( 'v_b', X,
% 0.43/1.07 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, 'v_c' ), :=( Y, 'v_b' ), :=( Z, X ), :=( T,
% 0.43/1.07 'tc_IntDef_Oint' )] ), substitution( 1, [ :=( X, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 145, [ =( 'v_c', 'v_b' ), 'c_in'( 'v_c', X, 'tc_IntDef_Oint' ),
% 0.43/1.07 'c_in'( 'v_a', 'c_insert'( 'v_b', X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint'
% 0.43/1.07 ) ] )
% 0.43/1.07 , clause( 142, [ =( 'v_b', 'v_c' ), 'c_in'( 'v_c', X, 'tc_IntDef_Oint' ),
% 0.43/1.07 'c_in'( 'v_a', 'c_insert'( 'v_b', X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint'
% 0.43/1.07 ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 83, [ 'c_in'( 'v_a', 'c_insert'( 'v_b', X, 'tc_IntDef_Oint' ),
% 0.43/1.07 'tc_IntDef_Oint' ), 'c_in'( 'v_c', X, 'tc_IntDef_Oint' ), =( 'v_c', 'v_b'
% 0.43/1.07 ) ] )
% 0.43/1.07 , clause( 145, [ =( 'v_c', 'v_b' ), 'c_in'( 'v_c', X, 'tc_IntDef_Oint' ),
% 0.43/1.07 'c_in'( 'v_a', 'c_insert'( 'v_b', X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint'
% 0.43/1.07 ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.43/1.07 1 ), ==>( 2, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 147, [ 'c_less'( 'v_b', 'v_b', 'tc_IntDef_Oint' ), 'c_in'( 'v_a',
% 0.43/1.07 'c_insert'( 'v_b', X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_in'(
% 0.43/1.07 'v_c', X, 'tc_IntDef_Oint' ) ] )
% 0.43/1.07 , clause( 83, [ 'c_in'( 'v_a', 'c_insert'( 'v_b', X, 'tc_IntDef_Oint' ),
% 0.43/1.07 'tc_IntDef_Oint' ), 'c_in'( 'v_c', X, 'tc_IntDef_Oint' ), =( 'v_c', 'v_b'
% 0.43/1.07 ) ] )
% 0.43/1.07 , 2, clause( 7, [ 'c_less'( 'v_b', 'v_c', 'tc_IntDef_Oint' ) ] )
% 0.43/1.07 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 184, [ 'c_in'( 'v_a', 'c_insert'( 'v_b', X, 'tc_IntDef_Oint' ),
% 0.43/1.07 'tc_IntDef_Oint' ), 'c_in'( 'v_c', X, 'tc_IntDef_Oint' ) ] )
% 0.43/1.07 , clause( 10, [ ~( 'c_less'( X, X, 'tc_IntDef_Oint' ) ) ] )
% 0.43/1.07 , 0, clause( 147, [ 'c_less'( 'v_b', 'v_b', 'tc_IntDef_Oint' ), 'c_in'(
% 0.43/1.07 'v_a', 'c_insert'( 'v_b', X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 0.43/1.07 'c_in'( 'v_c', X, 'tc_IntDef_Oint' ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, 'v_b' )] ), substitution( 1, [ :=( X, X )] )
% 0.43/1.07 ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 86, [ 'c_in'( 'v_a', 'c_insert'( 'v_b', X, 'tc_IntDef_Oint' ),
% 0.43/1.07 'tc_IntDef_Oint' ), 'c_in'( 'v_c', X, 'tc_IntDef_Oint' ) ] )
% 0.43/1.07 , clause( 184, [ 'c_in'( 'v_a', 'c_insert'( 'v_b', X, 'tc_IntDef_Oint' ),
% 0.43/1.07 'tc_IntDef_Oint' ), 'c_in'( 'v_c', X, 'tc_IntDef_Oint' ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.43/1.07 1 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 185, [ =( Y, X ), ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ),
% 0.43/1.07 'c_in'( X, Z, T ) ] )
% 0.43/1.07 , clause( 5, [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z, T
% 0.43/1.07 ), =( X, Y ) ] )
% 0.43/1.07 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.43/1.07 ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 186, [ =( 'v_b', 'v_a' ), 'c_in'( 'v_a', X, 'tc_IntDef_Oint' ),
% 0.43/1.07 'c_in'( 'v_c', X, 'tc_IntDef_Oint' ) ] )
% 0.43/1.07 , clause( 185, [ =( Y, X ), ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ),
% 0.43/1.07 'c_in'( X, Z, T ) ] )
% 0.43/1.07 , 1, clause( 86, [ 'c_in'( 'v_a', 'c_insert'( 'v_b', X, 'tc_IntDef_Oint' )
% 0.43/1.07 , 'tc_IntDef_Oint' ), 'c_in'( 'v_c', X, 'tc_IntDef_Oint' ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, 'v_a' ), :=( Y, 'v_b' ), :=( Z, X ), :=( T,
% 0.43/1.07 'tc_IntDef_Oint' )] ), substitution( 1, [ :=( X, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 87, [ 'c_in'( 'v_c', X, 'tc_IntDef_Oint' ), 'c_in'( 'v_a', X,
% 0.43/1.07 'tc_IntDef_Oint' ), =( 'v_b', 'v_a' ) ] )
% 0.43/1.07 , clause( 186, [ =( 'v_b', 'v_a' ), 'c_in'( 'v_a', X, 'tc_IntDef_Oint' ),
% 0.43/1.07 'c_in'( 'v_c', X, 'tc_IntDef_Oint' ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.43/1.07 1 ), ==>( 2, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 191, [ 'c_less'( 'v_a', 'v_a', 'tc_IntDef_Oint' ), 'c_in'( 'v_c', X
% 0.43/1.07 , 'tc_IntDef_Oint' ), 'c_in'( 'v_a', X, 'tc_IntDef_Oint' ) ] )
% 0.43/1.07 , clause( 87, [ 'c_in'( 'v_c', X, 'tc_IntDef_Oint' ), 'c_in'( 'v_a', X,
% 0.43/1.07 'tc_IntDef_Oint' ), =( 'v_b', 'v_a' ) ] )
% 0.43/1.07 , 2, clause( 6, [ 'c_less'( 'v_a', 'v_b', 'tc_IntDef_Oint' ) ] )
% 0.43/1.07 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 192, [ 'c_in'( 'v_c', X, 'tc_IntDef_Oint' ), 'c_in'( 'v_a', X,
% 0.43/1.07 'tc_IntDef_Oint' ) ] )
% 0.43/1.07 , clause( 10, [ ~( 'c_less'( X, X, 'tc_IntDef_Oint' ) ) ] )
% 0.43/1.07 , 0, clause( 191, [ 'c_less'( 'v_a', 'v_a', 'tc_IntDef_Oint' ), 'c_in'(
% 0.43/1.07 'v_c', X, 'tc_IntDef_Oint' ), 'c_in'( 'v_a', X, 'tc_IntDef_Oint' ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, 'v_a' )] ), substitution( 1, [ :=( X, X )] )
% 0.43/1.07 ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 102, [ 'c_in'( 'v_c', X, 'tc_IntDef_Oint' ), 'c_in'( 'v_a', X,
% 0.43/1.07 'tc_IntDef_Oint' ) ] )
% 0.43/1.07 , clause( 192, [ 'c_in'( 'v_c', X, 'tc_IntDef_Oint' ), 'c_in'( 'v_a', X,
% 0.43/1.07 'tc_IntDef_Oint' ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.43/1.07 1 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 193, [ 'c_in'( 'v_a', 'c_uminus'( 'c_insert'( 'v_c', X,
% 0.43/1.07 'tc_IntDef_Oint' ), 'tc_set'( 'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint' ) ]
% 0.43/1.07 )
% 0.43/1.07 , clause( 11, [ ~( 'c_in'( X, 'c_uminus'( 'c_insert'( X, Y, Z ), 'tc_set'(
% 0.43/1.07 Z ) ), Z ) ) ] )
% 0.43/1.07 , 0, clause( 102, [ 'c_in'( 'v_c', X, 'tc_IntDef_Oint' ), 'c_in'( 'v_a', X
% 0.43/1.07 , 'tc_IntDef_Oint' ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, 'v_c' ), :=( Y, X ), :=( Z, 'tc_IntDef_Oint'
% 0.43/1.07 )] ), substitution( 1, [ :=( X, 'c_uminus'( 'c_insert'( 'v_c', X,
% 0.43/1.07 'tc_IntDef_Oint' ), 'tc_set'( 'tc_IntDef_Oint' ) ) )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 113, [ 'c_in'( 'v_a', 'c_uminus'( 'c_insert'( 'v_c', X,
% 0.43/1.07 'tc_IntDef_Oint' ), 'tc_set'( 'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint' ) ]
% 0.43/1.07 )
% 0.43/1.07 , clause( 193, [ 'c_in'( 'v_a', 'c_uminus'( 'c_insert'( 'v_c', X,
% 0.43/1.07 'tc_IntDef_Oint' ), 'tc_set'( 'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint' ) ]
% 0.43/1.07 )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 195, [] )
% 0.43/1.07 , clause( 16, [ ~( 'c_in'( X, 'c_uminus'( 'c_insert'( Y, 'c_insert'( X, Z,
% 0.43/1.07 T ), T ), 'tc_set'( T ) ), T ) ) ] )
% 0.43/1.07 , 0, clause( 113, [ 'c_in'( 'v_a', 'c_uminus'( 'c_insert'( 'v_c', X,
% 0.43/1.07 'tc_IntDef_Oint' ), 'tc_set'( 'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint' ) ]
% 0.43/1.07 )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, 'v_a' ), :=( Y, 'v_c' ), :=( Z, X ), :=( T,
% 0.43/1.07 'tc_IntDef_Oint' )] ), substitution( 1, [ :=( X, 'c_insert'( 'v_a', X,
% 0.43/1.07 'tc_IntDef_Oint' ) )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 119, [] )
% 0.43/1.07 , clause( 195, [] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 end.
% 0.43/1.07
% 0.43/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.07
% 0.43/1.07 Memory use:
% 0.43/1.07
% 0.43/1.07 space for terms: 2168
% 0.43/1.07 space for clauses: 7776
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 clauses generated: 416
% 0.43/1.07 clauses kept: 120
% 0.43/1.07 clauses selected: 25
% 0.43/1.07 clauses deleted: 0
% 0.43/1.07 clauses inuse deleted: 0
% 0.43/1.07
% 0.43/1.07 subsentry: 1136
% 0.43/1.07 literals s-matched: 908
% 0.43/1.07 literals matched: 908
% 0.43/1.07 full subsumption: 541
% 0.43/1.07
% 0.43/1.07 checksum: -1119937468
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 Bliksem ended
%------------------------------------------------------------------------------