TSTP Solution File: ANA037-2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ANA037-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n011.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 : Thu Jul 14 18:38:40 EDT 2022
% Result : Unsatisfiable 0.60s 1.01s
% Output : Refutation 0.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : ANA037-2 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12 % Command : bliksem %s
% 0.11/0.32 % Computer : n011.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % DateTime : Fri Jul 8 04:26:39 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.60/1.01 *** allocated 10000 integers for termspace/termends
% 0.60/1.01 *** allocated 10000 integers for clauses
% 0.60/1.01 *** allocated 10000 integers for justifications
% 0.60/1.01 Bliksem 1.12
% 0.60/1.01
% 0.60/1.01
% 0.60/1.01 Automatic Strategy Selection
% 0.60/1.01
% 0.60/1.01 Clauses:
% 0.60/1.01 [
% 0.60/1.01 [ 'c_lessequals'( 'c_0', 'v_f'( 'v_xa' ), 't_b' ) ],
% 0.60/1.01 [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_a'( 'v_xa' ), 't_b' ), 'c_times'(
% 0.60/1.01 'v_c', 'v_f'( 'v_xa' ), 't_b' ), 't_b' ) ],
% 0.60/1.01 [ ~( 'c_lessequals'( 'c_HOL_Oabs'( 'v_a'( 'v_xa' ), 't_b' ), 'c_times'(
% 0.60/1.01 'c_Orderings_Omax'( 'v_c', 'v_ca', 't_b' ), 'v_f'( 'v_xa' ), 't_b' ),
% 0.60/1.01 't_b' ) ) ],
% 0.60/1.01 [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.60/1.01 'c_Orderings_Omax'( Y, Z, X ), X ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 0.60/1.01 ~( 'c_lessequals'( T, Y, X ) ), 'c_lessequals'( T, Z, X ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), ~(
% 0.60/1.01 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( 'c_0', T, X ) ),
% 0.60/1.01 'c_lessequals'( 'c_times'( Y, T, X ), 'c_times'( Z, T, X ), X ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.60/1.01 'class_Orderings_Olinorder'( X ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.60/1.01 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.60/1.01 'class_Orderings_Oorder'( X ) ]
% 0.60/1.01 ] .
% 0.60/1.01
% 0.60/1.01
% 0.60/1.01 percentage equality = 0.000000, percentage horn = 1.000000
% 0.60/1.01 This is a near-Horn, non-equality problem
% 0.60/1.01
% 0.60/1.01
% 0.60/1.01 Options Used:
% 0.60/1.01
% 0.60/1.01 useres = 1
% 0.60/1.01 useparamod = 0
% 0.60/1.01 useeqrefl = 0
% 0.60/1.01 useeqfact = 0
% 0.60/1.01 usefactor = 1
% 0.60/1.01 usesimpsplitting = 0
% 0.60/1.01 usesimpdemod = 0
% 0.60/1.01 usesimpres = 4
% 0.60/1.01
% 0.60/1.01 resimpinuse = 1000
% 0.60/1.01 resimpclauses = 20000
% 0.60/1.01 substype = standard
% 0.60/1.01 backwardsubs = 1
% 0.60/1.01 selectoldest = 5
% 0.60/1.01
% 0.60/1.01 litorderings [0] = split
% 0.60/1.01 litorderings [1] = liftord
% 0.60/1.01
% 0.60/1.01 termordering = none
% 0.60/1.01
% 0.60/1.01 litapriori = 1
% 0.60/1.01 termapriori = 0
% 0.60/1.01 litaposteriori = 0
% 0.60/1.01 termaposteriori = 0
% 0.60/1.01 demodaposteriori = 0
% 0.60/1.01 ordereqreflfact = 0
% 0.60/1.01
% 0.60/1.01 litselect = negative
% 0.60/1.01
% 0.60/1.01 maxweight = 30000
% 0.60/1.01 maxdepth = 30000
% 0.60/1.01 maxlength = 115
% 0.60/1.01 maxnrvars = 195
% 0.60/1.01 excuselevel = 0
% 0.60/1.01 increasemaxweight = 0
% 0.60/1.01
% 0.60/1.01 maxselected = 10000000
% 0.60/1.01 maxnrclauses = 10000000
% 0.60/1.01
% 0.60/1.01 showgenerated = 0
% 0.60/1.01 showkept = 0
% 0.60/1.01 showselected = 0
% 0.60/1.01 showdeleted = 0
% 0.60/1.01 showresimp = 1
% 0.60/1.01 showstatus = 2000
% 0.60/1.01
% 0.60/1.01 prologoutput = 1
% 0.60/1.01 nrgoals = 5000000
% 0.60/1.01 totalproof = 1
% 0.60/1.01
% 0.60/1.01 Symbols occurring in the translation:
% 0.60/1.01
% 0.60/1.01 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.60/1.01 . [1, 2] (w:1, o:34, a:1, s:1, b:0),
% 0.60/1.01 ! [4, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.60/1.01 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.60/1.01 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.60/1.01 'c_0' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.60/1.01 'v_xa' [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.60/1.01 'v_f' [41, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.60/1.01 't_b' [42, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.60/1.01 'c_lessequals' [43, 3] (w:1, o:60, a:1, s:1, b:0),
% 0.60/1.01 'v_a' [44, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.60/1.01 'c_HOL_Oabs' [45, 2] (w:1, o:59, a:1, s:1, b:0),
% 0.60/1.01 'v_c' [46, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.60/1.01 'c_times' [47, 3] (w:1, o:61, a:1, s:1, b:0),
% 0.60/1.01 'v_ca' [48, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.60/1.01 'c_Orderings_Omax' [49, 3] (w:1, o:62, a:1, s:1, b:0),
% 0.60/1.01 'class_Ring__and__Field_Oordered__idom' [50, 1] (w:1, o:30, a:1, s:1
% 0.60/1.01 , b:0),
% 0.60/1.01 'class_Orderings_Olinorder' [52, 1] (w:1, o:31, a:1, s:1, b:0),
% 0.60/1.01 'class_Orderings_Oorder' [56, 1] (w:1, o:32, a:1, s:1, b:0),
% 0.60/1.01 'class_Ring__and__Field_Opordered__semiring' [58, 1] (w:1, o:33, a:1
% 0.60/1.01 , s:1, b:0).
% 0.60/1.01
% 0.60/1.01
% 0.60/1.01 Starting Search:
% 0.60/1.01
% 0.60/1.01
% 0.60/1.01 Bliksems!, er is een bewijs:
% 0.60/1.01 % SZS status Unsatisfiable
% 0.60/1.01 % SZS output start Refutation
% 0.60/1.01
% 0.60/1.01 clause( 0, [ 'c_lessequals'( 'c_0', 'v_f'( 'v_xa' ), 't_b' ) ] )
% 0.60/1.01 .
% 0.60/1.01 clause( 1, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_a'( 'v_xa' ), 't_b' ),
% 0.60/1.01 'c_times'( 'v_c', 'v_f'( 'v_xa' ), 't_b' ), 't_b' ) ] )
% 0.60/1.01 .
% 0.60/1.01 clause( 2, [ ~( 'c_lessequals'( 'c_HOL_Oabs'( 'v_a'( 'v_xa' ), 't_b' ),
% 0.60/1.01 'c_times'( 'c_Orderings_Omax'( 'v_c', 'v_ca', 't_b' ), 'v_f'( 'v_xa' ),
% 0.60/1.01 't_b' ), 't_b' ) ) ] )
% 0.60/1.01 .
% 0.60/1.01 clause( 3, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.60/1.01 .
% 0.60/1.01 clause( 4, [ 'c_lessequals'( Y, 'c_Orderings_Omax'( Y, Z, X ), X ), ~(
% 0.60/1.01 'class_Orderings_Olinorder'( X ) ) ] )
% 0.60/1.01 .
% 0.60/1.01 clause( 5, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X
% 0.60/1.01 ) ), 'c_lessequals'( T, Z, X ), ~( 'c_lessequals'( T, Y, X ) ) ] )
% 0.60/1.01 .
% 0.60/1.01 clause( 6, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), ~(
% 0.60/1.01 'c_lessequals'( 'c_0', T, X ) ), 'c_lessequals'( 'c_times'( Y, T, X ),
% 0.60/1.01 'c_times'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 0.60/1.01 .
% 0.60/1.01 clause( 7, [ 'class_Orderings_Olinorder'( X ), ~(
% 0.60/1.01 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 0.60/1.01 .
% 0.60/1.01 clause( 8, [ 'class_Ring__and__Field_Opordered__semiring'( X ), ~(
% 0.60/1.01 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 0.60/1.01 .
% 0.60/1.01 clause( 9, [ 'class_Orderings_Oorder'( X ), ~(
% 0.60/1.01 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 0.60/1.01 .
% 0.60/1.01 clause( 11, [ 'class_Orderings_Oorder'( 't_b' ) ] )
% 0.60/1.01 .
% 0.60/1.01 clause( 12, [ 'class_Ring__and__Field_Opordered__semiring'( 't_b' ) ] )
% 0.60/1.01 .
% 0.60/1.01 clause( 13, [ 'class_Orderings_Olinorder'( 't_b' ) ] )
% 0.60/1.01 .
% 0.60/1.01 clause( 14, [ 'c_lessequals'( X, 'c_Orderings_Omax'( X, Y, 't_b' ), 't_b' )
% 0.60/1.01 ] )
% 0.60/1.01 .
% 0.60/1.01 clause( 15, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_a'( 'v_xa' ), 't_b' ), X,
% 0.60/1.01 't_b' ), ~( 'c_lessequals'( 'c_times'( 'v_c', 'v_f'( 'v_xa' ), 't_b' ), X
% 0.60/1.01 , 't_b' ) ) ] )
% 0.60/1.01 .
% 0.60/1.01 clause( 22, [ 'c_lessequals'( 'c_times'( Y, X, 't_b' ), 'c_times'(
% 0.60/1.01 'c_Orderings_Omax'( Y, Z, 't_b' ), X, 't_b' ), 't_b' ), ~( 'c_lessequals'(
% 0.60/1.01 'c_0', X, 't_b' ) ) ] )
% 0.60/1.01 .
% 0.60/1.01 clause( 103, [ 'c_lessequals'( 'c_times'( X, 'v_f'( 'v_xa' ), 't_b' ),
% 0.60/1.01 'c_times'( 'c_Orderings_Omax'( X, Y, 't_b' ), 'v_f'( 'v_xa' ), 't_b' ),
% 0.60/1.01 't_b' ) ] )
% 0.60/1.01 .
% 0.60/1.01 clause( 104, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_a'( 'v_xa' ), 't_b' ),
% 0.60/1.01 'c_times'( 'c_Orderings_Omax'( 'v_c', X, 't_b' ), 'v_f'( 'v_xa' ), 't_b'
% 0.60/1.01 ), 't_b' ) ] )
% 0.60/1.01 .
% 0.60/1.01 clause( 109, [] )
% 0.60/1.01 .
% 0.60/1.01
% 0.60/1.01
% 0.60/1.01 % SZS output end Refutation
% 0.60/1.01 found a proof!
% 0.60/1.01
% 0.60/1.01 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.60/1.01
% 0.60/1.01 initialclauses(
% 0.60/1.01 [ clause( 111, [ 'c_lessequals'( 'c_0', 'v_f'( 'v_xa' ), 't_b' ) ] )
% 0.60/1.01 , clause( 112, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_a'( 'v_xa' ), 't_b' ),
% 0.60/1.01 'c_times'( 'v_c', 'v_f'( 'v_xa' ), 't_b' ), 't_b' ) ] )
% 0.60/1.01 , clause( 113, [ ~( 'c_lessequals'( 'c_HOL_Oabs'( 'v_a'( 'v_xa' ), 't_b' )
% 0.60/1.01 , 'c_times'( 'c_Orderings_Omax'( 'v_c', 'v_ca', 't_b' ), 'v_f'( 'v_xa' )
% 0.60/1.01 , 't_b' ), 't_b' ) ) ] )
% 0.60/1.01 , clause( 114, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.60/1.01 , clause( 115, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.60/1.01 'c_Orderings_Omax'( Y, Z, X ), X ) ] )
% 0.60/1.01 , clause( 116, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y,
% 0.60/1.01 Z, X ) ), ~( 'c_lessequals'( T, Y, X ) ), 'c_lessequals'( T, Z, X ) ] )
% 0.60/1.01 , clause( 117, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.60/1.01 ~( 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( 'c_0', T, X ) ),
% 0.60/1.01 'c_lessequals'( 'c_times'( Y, T, X ), 'c_times'( Z, T, X ), X ) ] )
% 0.60/1.01 , clause( 118, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.60/1.01 'class_Orderings_Olinorder'( X ) ] )
% 0.60/1.01 , clause( 119, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.60/1.01 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 0.60/1.01 , clause( 120, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.60/1.01 'class_Orderings_Oorder'( X ) ] )
% 0.60/1.01 ] ).
% 0.60/1.01
% 0.60/1.01
% 0.60/1.01
% 0.60/1.01 subsumption(
% 0.60/1.01 clause( 0, [ 'c_lessequals'( 'c_0', 'v_f'( 'v_xa' ), 't_b' ) ] )
% 0.60/1.01 , clause( 111, [ 'c_lessequals'( 'c_0', 'v_f'( 'v_xa' ), 't_b' ) ] )
% 0.60/1.01 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.60/1.01
% 0.60/1.01
% 0.60/1.01 subsumption(
% 0.60/1.01 clause( 1, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_a'( 'v_xa' ), 't_b' ),
% 0.60/1.01 'c_times'( 'v_c', 'v_f'( 'v_xa' ), 't_b' ), 't_b' ) ] )
% 0.60/1.01 , clause( 112, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_a'( 'v_xa' ), 't_b' ),
% 0.60/1.01 'c_times'( 'v_c', 'v_f'( 'v_xa' ), 't_b' ), 't_b' ) ] )
% 0.60/1.01 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.60/1.01
% 0.60/1.01
% 0.60/1.01 subsumption(
% 0.60/1.01 clause( 2, [ ~( 'c_lessequals'( 'c_HOL_Oabs'( 'v_a'( 'v_xa' ), 't_b' ),
% 0.60/1.01 'c_times'( 'c_Orderings_Omax'( 'v_c', 'v_ca', 't_b' ), 'v_f'( 'v_xa' ),
% 0.60/1.01 't_b' ), 't_b' ) ) ] )
% 0.60/1.01 , clause( 113, [ ~( 'c_lessequals'( 'c_HOL_Oabs'( 'v_a'( 'v_xa' ), 't_b' )
% 0.60/1.01 , 'c_times'( 'c_Orderings_Omax'( 'v_c', 'v_ca', 't_b' ), 'v_f'( 'v_xa' )
% 0.60/1.01 , 't_b' ), 't_b' ) ) ] )
% 0.60/1.01 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.60/1.01
% 0.60/1.01
% 0.60/1.01 subsumption(
% 0.60/1.01 clause( 3, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.60/1.01 , clause( 114, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.60/1.01 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.60/1.01
% 0.60/1.01
% 0.60/1.01 subsumption(
% 0.60/1.01 clause( 4, [ 'c_lessequals'( Y, 'c_Orderings_Omax'( Y, Z, X ), X ), ~(
% 0.60/1.01 'class_Orderings_Olinorder'( X ) ) ] )
% 0.60/1.01 , clause( 115, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.60/1.01 'c_Orderings_Omax'( Y, Z, X ), X ) ] )
% 0.60/1.01 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.60/1.01 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.60/1.01
% 0.60/1.01
% 0.60/1.01 subsumption(
% 0.60/1.01 clause( 5, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X
% 0.60/1.01 ) ), 'c_lessequals'( T, Z, X ), ~( 'c_lessequals'( T, Y, X ) ) ] )
% 0.60/1.01 , clause( 116, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y,
% 0.60/1.01 Z, X ) ), ~( 'c_lessequals'( T, Y, X ) ), 'c_lessequals'( T, Z, X ) ] )
% 0.60/1.01 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.60/1.01 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 3 ), ==>( 3, 2 )] )
% 0.60/1.01 ).
% 0.60/1.01
% 0.60/1.01
% 0.60/1.01 subsumption(
% 0.60/1.01 clause( 6, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), ~(
% 0.60/1.01 'c_lessequals'( 'c_0', T, X ) ), 'c_lessequals'( 'c_times'( Y, T, X ),
% 0.60/1.01 'c_times'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 0.60/1.01 , clause( 117, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.60/1.01 ~( 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( 'c_0', T, X ) ),
% 0.60/1.01 'c_lessequals'( 'c_times'( Y, T, X ), 'c_times'( Z, T, X ), X ) ] )
% 0.60/1.01 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.60/1.01 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 3 ), ==>( 2, 1 ), ==>( 3, 2 )] )
% 0.60/1.01 ).
% 0.60/1.01
% 0.60/1.01
% 0.60/1.01 subsumption(
% 0.60/1.01 clause( 7, [ 'class_Orderings_Olinorder'( X ), ~(
% 0.60/1.01 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 0.60/1.01 , clause( 118, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.60/1.01 'class_Orderings_Olinorder'( X ) ] )
% 0.60/1.01 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.60/1.01 0 )] ) ).
% 0.60/1.01
% 0.60/1.01
% 0.60/1.01 subsumption(
% 0.60/1.01 clause( 8, [ 'class_Ring__and__Field_Opordered__semiring'( X ), ~(
% 0.60/1.01 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 0.60/1.01 , clause( 119, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.60/1.01 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 0.60/1.01 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.60/1.01 0 )] ) ).
% 0.60/1.01
% 0.60/1.01
% 0.60/1.01 subsumption(
% 0.60/1.01 clause( 9, [ 'class_Orderings_Oorder'( X ), ~(
% 0.60/1.01 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 0.60/1.01 , clause( 120, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.60/1.01 'class_Orderings_Oorder'( X ) ] )
% 0.60/1.01 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.60/1.01 0 )] ) ).
% 0.60/1.01
% 0.60/1.01
% 0.60/1.01 resolution(
% 0.60/1.01 clause( 130, [ 'class_Orderings_Oorder'( 't_b' ) ] )
% 0.60/1.01 , clause( 9, [ 'class_Orderings_Oorder'( X ), ~(
% 0.60/1.01 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 0.60/1.01 , 1, clause( 3, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.60/1.01 , 0, substitution( 0, [ :=( X, 't_b' )] ), substitution( 1, [] )).
% 0.60/1.01
% 0.60/1.01
% 0.60/1.01 subsumption(
% 0.60/1.01 clause( 11, [ 'class_Orderings_Oorder'( 't_b' ) ] )
% 0.60/1.01 , clause( 130, [ 'class_Orderings_Oorder'( 't_b' ) ] )
% 0.60/1.01 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.60/1.01
% 0.60/1.01
% 0.60/1.01 resolution(
% 0.60/1.01 clause( 131, [ 'class_Ring__and__Field_Opordered__semiring'( 't_b' ) ] )
% 0.60/1.01 , clause( 8, [ 'class_Ring__and__Field_Opordered__semiring'( X ), ~(
% 0.60/1.01 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 0.60/1.01 , 1, clause( 3, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.60/1.01 , 0, substitution( 0, [ :=( X, 't_b' )] ), substitution( 1, [] )).
% 0.60/1.01
% 0.60/1.01
% 0.60/1.01 subsumption(
% 0.60/1.01 clause( 12, [ 'class_Ring__and__Field_Opordered__semiring'( 't_b' ) ] )
% 0.60/1.01 , clause( 131, [ 'class_Ring__and__Field_Opordered__semiring'( 't_b' ) ] )
% 0.60/1.01 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.60/1.01
% 0.60/1.01
% 0.60/1.01 resolution(
% 0.60/1.01 clause( 132, [ 'class_Orderings_Olinorder'( 't_b' ) ] )
% 0.60/1.01 , clause( 7, [ 'class_Orderings_Olinorder'( X ), ~(
% 0.60/1.01 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 0.60/1.01 , 1, clause( 3, [ 'class_Ring__and__Field_Oordered__idom'( 't_b' ) ] )
% 0.60/1.01 , 0, substitution( 0, [ :=( X, 't_b' )] ), substitution( 1, [] )).
% 0.60/1.01
% 0.60/1.01
% 0.60/1.01 subsumption(
% 0.60/1.01 clause( 13, [ 'class_Orderings_Olinorder'( 't_b' ) ] )
% 0.60/1.01 , clause( 132, [ 'class_Orderings_Olinorder'( 't_b' ) ] )
% 0.60/1.02 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.60/1.02
% 0.60/1.02
% 0.60/1.02 resolution(
% 0.60/1.02 clause( 133, [ 'c_lessequals'( X, 'c_Orderings_Omax'( X, Y, 't_b' ), 't_b'
% 0.60/1.02 ) ] )
% 0.60/1.02 , clause( 4, [ 'c_lessequals'( Y, 'c_Orderings_Omax'( Y, Z, X ), X ), ~(
% 0.60/1.02 'class_Orderings_Olinorder'( X ) ) ] )
% 0.60/1.02 , 1, clause( 13, [ 'class_Orderings_Olinorder'( 't_b' ) ] )
% 0.60/1.02 , 0, substitution( 0, [ :=( X, 't_b' ), :=( Y, X ), :=( Z, Y )] ),
% 0.60/1.02 substitution( 1, [] )).
% 0.60/1.02
% 0.60/1.02
% 0.60/1.02 subsumption(
% 0.60/1.02 clause( 14, [ 'c_lessequals'( X, 'c_Orderings_Omax'( X, Y, 't_b' ), 't_b' )
% 0.60/1.02 ] )
% 0.60/1.02 , clause( 133, [ 'c_lessequals'( X, 'c_Orderings_Omax'( X, Y, 't_b' ),
% 0.60/1.02 't_b' ) ] )
% 0.60/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.60/1.02 )] ) ).
% 0.60/1.02
% 0.60/1.02
% 0.60/1.02 resolution(
% 0.60/1.02 clause( 135, [ ~( 'class_Orderings_Oorder'( 't_b' ) ), ~( 'c_lessequals'(
% 0.60/1.02 'c_times'( 'v_c', 'v_f'( 'v_xa' ), 't_b' ), X, 't_b' ) ), 'c_lessequals'(
% 0.60/1.02 'c_HOL_Oabs'( 'v_a'( 'v_xa' ), 't_b' ), X, 't_b' ) ] )
% 0.60/1.02 , clause( 5, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z
% 0.60/1.02 , X ) ), 'c_lessequals'( T, Z, X ), ~( 'c_lessequals'( T, Y, X ) ) ] )
% 0.60/1.02 , 3, clause( 1, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_a'( 'v_xa' ), 't_b' ),
% 0.60/1.02 'c_times'( 'v_c', 'v_f'( 'v_xa' ), 't_b' ), 't_b' ) ] )
% 0.60/1.02 , 0, substitution( 0, [ :=( X, 't_b' ), :=( Y, 'c_times'( 'v_c', 'v_f'(
% 0.60/1.02 'v_xa' ), 't_b' ) ), :=( Z, X ), :=( T, 'c_HOL_Oabs'( 'v_a'( 'v_xa' ),
% 0.60/1.02 't_b' ) )] ), substitution( 1, [] )).
% 0.60/1.02
% 0.60/1.02
% 0.60/1.02 resolution(
% 0.60/1.02 clause( 137, [ ~( 'c_lessequals'( 'c_times'( 'v_c', 'v_f'( 'v_xa' ), 't_b'
% 0.60/1.02 ), X, 't_b' ) ), 'c_lessequals'( 'c_HOL_Oabs'( 'v_a'( 'v_xa' ), 't_b' )
% 0.60/1.02 , X, 't_b' ) ] )
% 0.60/1.02 , clause( 135, [ ~( 'class_Orderings_Oorder'( 't_b' ) ), ~( 'c_lessequals'(
% 0.60/1.02 'c_times'( 'v_c', 'v_f'( 'v_xa' ), 't_b' ), X, 't_b' ) ), 'c_lessequals'(
% 0.60/1.02 'c_HOL_Oabs'( 'v_a'( 'v_xa' ), 't_b' ), X, 't_b' ) ] )
% 0.60/1.02 , 0, clause( 11, [ 'class_Orderings_Oorder'( 't_b' ) ] )
% 0.60/1.02 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 0.60/1.02
% 0.60/1.02
% 0.60/1.02 subsumption(
% 0.60/1.02 clause( 15, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_a'( 'v_xa' ), 't_b' ), X,
% 0.60/1.02 't_b' ), ~( 'c_lessequals'( 'c_times'( 'v_c', 'v_f'( 'v_xa' ), 't_b' ), X
% 0.60/1.02 , 't_b' ) ) ] )
% 0.60/1.02 , clause( 137, [ ~( 'c_lessequals'( 'c_times'( 'v_c', 'v_f'( 'v_xa' ),
% 0.60/1.02 't_b' ), X, 't_b' ) ), 'c_lessequals'( 'c_HOL_Oabs'( 'v_a'( 'v_xa' ),
% 0.60/1.02 't_b' ), X, 't_b' ) ] )
% 0.60/1.02 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.60/1.02 0 )] ) ).
% 0.60/1.02
% 0.60/1.02
% 0.60/1.02 resolution(
% 0.60/1.02 clause( 139, [ ~( 'class_Ring__and__Field_Opordered__semiring'( 't_b' ) ),
% 0.60/1.02 ~( 'c_lessequals'( 'c_0', X, 't_b' ) ), 'c_lessequals'( 'c_times'( Y, X,
% 0.60/1.02 't_b' ), 'c_times'( 'c_Orderings_Omax'( Y, Z, 't_b' ), X, 't_b' ), 't_b'
% 0.60/1.02 ) ] )
% 0.60/1.02 , clause( 6, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), ~(
% 0.60/1.02 'c_lessequals'( 'c_0', T, X ) ), 'c_lessequals'( 'c_times'( Y, T, X ),
% 0.60/1.02 'c_times'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 0.60/1.02 , 3, clause( 14, [ 'c_lessequals'( X, 'c_Orderings_Omax'( X, Y, 't_b' ),
% 0.60/1.02 't_b' ) ] )
% 0.60/1.02 , 0, substitution( 0, [ :=( X, 't_b' ), :=( Y, Y ), :=( Z,
% 0.60/1.02 'c_Orderings_Omax'( Y, Z, 't_b' ) ), :=( T, X )] ), substitution( 1, [
% 0.60/1.02 :=( X, Y ), :=( Y, Z )] )).
% 0.60/1.02
% 0.60/1.02
% 0.60/1.02 resolution(
% 0.60/1.02 clause( 141, [ ~( 'c_lessequals'( 'c_0', X, 't_b' ) ), 'c_lessequals'(
% 0.60/1.02 'c_times'( Y, X, 't_b' ), 'c_times'( 'c_Orderings_Omax'( Y, Z, 't_b' ), X
% 0.60/1.02 , 't_b' ), 't_b' ) ] )
% 0.60/1.02 , clause( 139, [ ~( 'class_Ring__and__Field_Opordered__semiring'( 't_b' ) )
% 0.60/1.02 , ~( 'c_lessequals'( 'c_0', X, 't_b' ) ), 'c_lessequals'( 'c_times'( Y, X
% 0.60/1.02 , 't_b' ), 'c_times'( 'c_Orderings_Omax'( Y, Z, 't_b' ), X, 't_b' ),
% 0.60/1.02 't_b' ) ] )
% 0.60/1.02 , 0, clause( 12, [ 'class_Ring__and__Field_Opordered__semiring'( 't_b' ) ]
% 0.60/1.02 )
% 0.60/1.02 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.60/1.02 substitution( 1, [] )).
% 0.60/1.02
% 0.60/1.02
% 0.60/1.02 subsumption(
% 0.60/1.02 clause( 22, [ 'c_lessequals'( 'c_times'( Y, X, 't_b' ), 'c_times'(
% 0.60/1.02 'c_Orderings_Omax'( Y, Z, 't_b' ), X, 't_b' ), 't_b' ), ~( 'c_lessequals'(
% 0.60/1.02 'c_0', X, 't_b' ) ) ] )
% 0.60/1.02 , clause( 141, [ ~( 'c_lessequals'( 'c_0', X, 't_b' ) ), 'c_lessequals'(
% 0.60/1.02 'c_times'( Y, X, 't_b' ), 'c_times'( 'c_Orderings_Omax'( Y, Z, 't_b' ), X
% 0.60/1.02 , 't_b' ), 't_b' ) ] )
% 0.60/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.60/1.02 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.60/1.02
% 0.60/1.02
% 0.60/1.02 resolution(
% 0.60/1.02 clause( 142, [ 'c_lessequals'( 'c_times'( X, 'v_f'( 'v_xa' ), 't_b' ),
% 0.60/1.02 'c_times'( 'c_Orderings_Omax'( X, Y, 't_b' ), 'v_f'( 'v_xa' ), 't_b' ),
% 0.60/1.02 't_b' ) ] )
% 0.60/1.02 , clause( 22, [ 'c_lessequals'( 'c_times'( Y, X, 't_b' ), 'c_times'(
% 0.60/1.02 'c_Orderings_Omax'( Y, Z, 't_b' ), X, 't_b' ), 't_b' ), ~( 'c_lessequals'(
% 0.60/1.02 'c_0', X, 't_b' ) ) ] )
% 0.60/1.02 , 1, clause( 0, [ 'c_lessequals'( 'c_0', 'v_f'( 'v_xa' ), 't_b' ) ] )
% 0.60/1.02 , 0, substitution( 0, [ :=( X, 'v_f'( 'v_xa' ) ), :=( Y, X ), :=( Z, Y )] )
% 0.60/1.02 , substitution( 1, [] )).
% 0.60/1.02
% 0.60/1.02
% 0.60/1.02 subsumption(
% 0.60/1.02 clause( 103, [ 'c_lessequals'( 'c_times'( X, 'v_f'( 'v_xa' ), 't_b' ),
% 0.60/1.02 'c_times'( 'c_Orderings_Omax'( X, Y, 't_b' ), 'v_f'( 'v_xa' ), 't_b' ),
% 0.60/1.02 't_b' ) ] )
% 0.60/1.02 , clause( 142, [ 'c_lessequals'( 'c_times'( X, 'v_f'( 'v_xa' ), 't_b' ),
% 0.60/1.02 'c_times'( 'c_Orderings_Omax'( X, Y, 't_b' ), 'v_f'( 'v_xa' ), 't_b' ),
% 0.60/1.02 't_b' ) ] )
% 0.60/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.60/1.02 )] ) ).
% 0.60/1.02
% 0.60/1.02
% 0.60/1.02 resolution(
% 0.60/1.02 clause( 143, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_a'( 'v_xa' ), 't_b' ),
% 0.60/1.02 'c_times'( 'c_Orderings_Omax'( 'v_c', X, 't_b' ), 'v_f'( 'v_xa' ), 't_b'
% 0.60/1.02 ), 't_b' ) ] )
% 0.60/1.02 , clause( 15, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_a'( 'v_xa' ), 't_b' ), X,
% 0.60/1.02 't_b' ), ~( 'c_lessequals'( 'c_times'( 'v_c', 'v_f'( 'v_xa' ), 't_b' ), X
% 0.60/1.02 , 't_b' ) ) ] )
% 0.60/1.02 , 1, clause( 103, [ 'c_lessequals'( 'c_times'( X, 'v_f'( 'v_xa' ), 't_b' )
% 0.60/1.02 , 'c_times'( 'c_Orderings_Omax'( X, Y, 't_b' ), 'v_f'( 'v_xa' ), 't_b' )
% 0.60/1.02 , 't_b' ) ] )
% 0.60/1.02 , 0, substitution( 0, [ :=( X, 'c_times'( 'c_Orderings_Omax'( 'v_c', X,
% 0.60/1.02 't_b' ), 'v_f'( 'v_xa' ), 't_b' ) )] ), substitution( 1, [ :=( X, 'v_c' )
% 0.60/1.02 , :=( Y, X )] )).
% 0.60/1.02
% 0.60/1.02
% 0.60/1.02 subsumption(
% 0.60/1.02 clause( 104, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_a'( 'v_xa' ), 't_b' ),
% 0.60/1.02 'c_times'( 'c_Orderings_Omax'( 'v_c', X, 't_b' ), 'v_f'( 'v_xa' ), 't_b'
% 0.60/1.02 ), 't_b' ) ] )
% 0.60/1.02 , clause( 143, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_a'( 'v_xa' ), 't_b' ),
% 0.60/1.02 'c_times'( 'c_Orderings_Omax'( 'v_c', X, 't_b' ), 'v_f'( 'v_xa' ), 't_b'
% 0.60/1.02 ), 't_b' ) ] )
% 0.60/1.02 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.60/1.02
% 0.60/1.02
% 0.60/1.02 resolution(
% 0.60/1.02 clause( 144, [] )
% 0.60/1.02 , clause( 2, [ ~( 'c_lessequals'( 'c_HOL_Oabs'( 'v_a'( 'v_xa' ), 't_b' ),
% 0.60/1.02 'c_times'( 'c_Orderings_Omax'( 'v_c', 'v_ca', 't_b' ), 'v_f'( 'v_xa' ),
% 0.60/1.02 't_b' ), 't_b' ) ) ] )
% 0.60/1.02 , 0, clause( 104, [ 'c_lessequals'( 'c_HOL_Oabs'( 'v_a'( 'v_xa' ), 't_b' )
% 0.60/1.02 , 'c_times'( 'c_Orderings_Omax'( 'v_c', X, 't_b' ), 'v_f'( 'v_xa' ),
% 0.60/1.02 't_b' ), 't_b' ) ] )
% 0.60/1.02 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_ca' )] )).
% 0.60/1.02
% 0.60/1.02
% 0.60/1.02 subsumption(
% 0.60/1.02 clause( 109, [] )
% 0.60/1.02 , clause( 144, [] )
% 0.60/1.02 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.60/1.02
% 0.60/1.02
% 0.60/1.02 end.
% 0.60/1.02
% 0.60/1.02 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.60/1.02
% 0.60/1.02 Memory use:
% 0.60/1.02
% 0.60/1.02 space for terms: 2648
% 0.60/1.02 space for clauses: 16312
% 0.60/1.02
% 0.60/1.02
% 0.60/1.02 clauses generated: 121
% 0.60/1.02 clauses kept: 110
% 0.60/1.02 clauses selected: 39
% 0.60/1.02 clauses deleted: 0
% 0.60/1.02 clauses inuse deleted: 0
% 0.60/1.02
% 0.60/1.02 subsentry: 37
% 0.60/1.02 literals s-matched: 33
% 0.60/1.02 literals matched: 33
% 0.60/1.02 full subsumption: 0
% 0.60/1.02
% 0.60/1.02 checksum: -1813487596
% 0.60/1.02
% 0.60/1.02
% 0.60/1.02 Bliksem ended
%------------------------------------------------------------------------------