TSTP Solution File: ANA016-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ANA016-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n021.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 18:38:14 EDT 2022
% Result : Unsatisfiable 0.69s 1.08s
% Output : Refutation 0.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ANA016-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Fri Jul 8 02:38:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.69/1.08 *** allocated 10000 integers for termspace/termends
% 0.69/1.08 *** allocated 10000 integers for clauses
% 0.69/1.08 *** allocated 10000 integers for justifications
% 0.69/1.08 Bliksem 1.12
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 Automatic Strategy Selection
% 0.69/1.08
% 0.69/1.08 Clauses:
% 0.69/1.08 [
% 0.69/1.08 [ ~( =( 'v_c', 'c_0' ) ) ],
% 0.69/1.08 [ ~( =( 'v_g'( 'v_x' ), 'c_times'( 'v_c', 'c_times'( 'c_HOL_Oinverse'(
% 0.69/1.08 'v_c', 't_a' ), 'v_g'( 'v_x' ), 't_a' ), 't_a' ) ) ) ],
% 0.69/1.08 [ 'class_Ring__and__Field_Oordered__field'( 't_a' ) ],
% 0.69/1.08 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 'c_times'( 'c_1', Y,
% 0.69/1.08 X ), Y ) ],
% 0.69/1.08 [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), =( 'c_times'(
% 0.69/1.08 'c_times'( Y, Z, X ), T, X ), 'c_times'( Y, 'c_times'( Z, T, X ), X ) ) ]
% 0.69/1.08 ,
% 0.69/1.08 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_times'(
% 0.69/1.08 Y, 'c_HOL_Oinverse'( Y, X ), X ), 'c_1' ) ],
% 0.69/1.08 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.69/1.08 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.69/1.08 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.69/1.08 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 0.69/1.08 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.69/1.08 'class_Ring__and__Field_Ofield'( X ) ]
% 0.69/1.08 ] .
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 percentage equality = 0.375000, percentage horn = 0.888889
% 0.69/1.08 This is a problem with some equality
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 Options Used:
% 0.69/1.08
% 0.69/1.08 useres = 1
% 0.69/1.08 useparamod = 1
% 0.69/1.08 useeqrefl = 1
% 0.69/1.08 useeqfact = 1
% 0.69/1.08 usefactor = 1
% 0.69/1.08 usesimpsplitting = 0
% 0.69/1.08 usesimpdemod = 5
% 0.69/1.08 usesimpres = 3
% 0.69/1.08
% 0.69/1.08 resimpinuse = 1000
% 0.69/1.08 resimpclauses = 20000
% 0.69/1.08 substype = eqrewr
% 0.69/1.08 backwardsubs = 1
% 0.69/1.08 selectoldest = 5
% 0.69/1.08
% 0.69/1.08 litorderings [0] = split
% 0.69/1.08 litorderings [1] = extend the termordering, first sorting on arguments
% 0.69/1.08
% 0.69/1.08 termordering = kbo
% 0.69/1.08
% 0.69/1.08 litapriori = 0
% 0.69/1.08 termapriori = 1
% 0.69/1.08 litaposteriori = 0
% 0.69/1.08 termaposteriori = 0
% 0.69/1.08 demodaposteriori = 0
% 0.69/1.08 ordereqreflfact = 0
% 0.69/1.08
% 0.69/1.08 litselect = negord
% 0.69/1.08
% 0.69/1.08 maxweight = 15
% 0.69/1.08 maxdepth = 30000
% 0.69/1.08 maxlength = 115
% 0.69/1.08 maxnrvars = 195
% 0.69/1.08 excuselevel = 1
% 0.69/1.08 increasemaxweight = 1
% 0.69/1.08
% 0.69/1.08 maxselected = 10000000
% 0.69/1.08 maxnrclauses = 10000000
% 0.69/1.08
% 0.69/1.08 showgenerated = 0
% 0.69/1.08 showkept = 0
% 0.69/1.08 showselected = 0
% 0.69/1.08 showdeleted = 0
% 0.69/1.08 showresimp = 1
% 0.69/1.08 showstatus = 2000
% 0.69/1.08
% 0.69/1.08 prologoutput = 1
% 0.69/1.08 nrgoals = 5000000
% 0.69/1.08 totalproof = 1
% 0.69/1.08
% 0.69/1.08 Symbols occurring in the translation:
% 0.69/1.08
% 0.69/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.69/1.08 . [1, 2] (w:1, o:30, a:1, s:1, b:0),
% 0.69/1.08 ! [4, 1] (w:0, o:20, a:1, s:1, b:0),
% 0.69/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.08 'v_c' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.69/1.08 'c_0' [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.69/1.08 'v_x' [41, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.69/1.08 'v_g' [42, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.69/1.08 't_a' [43, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.69/1.08 'c_HOL_Oinverse' [44, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.69/1.08 'c_times' [45, 3] (w:1, o:56, a:1, s:1, b:0),
% 0.69/1.08 'class_Ring__and__Field_Oordered__field' [46, 1] (w:1, o:26, a:1, s:1
% 0.69/1.08 , b:0),
% 0.69/1.08 'class_OrderedGroup_Omonoid__mult' [48, 1] (w:1, o:27, a:1, s:1, b:0)
% 0.69/1.08 ,
% 0.69/1.08 'c_1' [49, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.69/1.08 'class_OrderedGroup_Osemigroup__mult' [51, 1] (w:1, o:28, a:1, s:1
% 0.69/1.08 , b:0),
% 0.69/1.08 'class_Ring__and__Field_Ofield' [55, 1] (w:1, o:29, a:1, s:1, b:0).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 Starting Search:
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 Bliksems!, er is een bewijs:
% 0.69/1.08 % SZS status Unsatisfiable
% 0.69/1.08 % SZS output start Refutation
% 0.69/1.08
% 0.69/1.08 clause( 0, [ ~( =( 'c_0', 'v_c' ) ) ] )
% 0.69/1.08 .
% 0.69/1.08 clause( 1, [ ~( =( 'c_times'( 'v_c', 'c_times'( 'c_HOL_Oinverse'( 'v_c',
% 0.69/1.08 't_a' ), 'v_g'( 'v_x' ), 't_a' ), 't_a' ), 'v_g'( 'v_x' ) ) ) ] )
% 0.69/1.08 .
% 0.69/1.08 clause( 2, [ 'class_Ring__and__Field_Oordered__field'( 't_a' ) ] )
% 0.69/1.08 .
% 0.69/1.08 clause( 3, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 'c_times'(
% 0.69/1.08 'c_1', Y, X ), Y ) ] )
% 0.69/1.08 .
% 0.69/1.08 clause( 4, [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), =( 'c_times'(
% 0.69/1.08 Y, 'c_times'( Z, T, X ), X ), 'c_times'( 'c_times'( Y, Z, X ), T, X ) ) ]
% 0.69/1.08 )
% 0.69/1.08 .
% 0.69/1.08 clause( 5, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =(
% 0.69/1.08 'c_times'( Y, 'c_HOL_Oinverse'( Y, X ), X ), 'c_1' ) ] )
% 0.69/1.08 .
% 0.69/1.08 clause( 6, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.69/1.08 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 0.69/1.08 .
% 0.69/1.08 clause( 7, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.69/1.08 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 0.69/1.08 .
% 0.69/1.08 clause( 8, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.69/1.08 'class_Ring__and__Field_Ofield'( X ) ] )
% 0.69/1.08 .
% 0.69/1.08 clause( 9, [ 'class_Ring__and__Field_Ofield'( 't_a' ) ] )
% 0.69/1.08 .
% 0.69/1.08 clause( 15, [ =( 'c_times'( 'c_1', X, Y ), X ), ~(
% 0.69/1.08 'class_Ring__and__Field_Ofield'( Y ) ) ] )
% 0.69/1.08 .
% 0.69/1.08 clause( 18, [ =( 'c_times'( X, 'c_times'( Y, Z, T ), T ), 'c_times'(
% 0.69/1.08 'c_times'( X, Y, T ), Z, T ) ), ~( 'class_Ring__and__Field_Ofield'( T ) )
% 0.69/1.08 ] )
% 0.69/1.08 .
% 0.69/1.08 clause( 41, [ ~( =( X, 'v_c' ) ), ~( 'class_Ring__and__Field_Ofield'( Y ) )
% 0.69/1.08 , =( 'c_times'( X, 'c_HOL_Oinverse'( X, Y ), Y ), 'c_1' ) ] )
% 0.69/1.08 .
% 0.69/1.08 clause( 43, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'(
% 0.69/1.08 'v_c', 'c_HOL_Oinverse'( 'v_c', X ), X ), 'c_1' ) ] )
% 0.69/1.08 .
% 0.69/1.08 clause( 59, [] )
% 0.69/1.08 .
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 % SZS output end Refutation
% 0.69/1.08 found a proof!
% 0.69/1.08
% 0.69/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.08
% 0.69/1.08 initialclauses(
% 0.69/1.08 [ clause( 61, [ ~( =( 'v_c', 'c_0' ) ) ] )
% 0.69/1.08 , clause( 62, [ ~( =( 'v_g'( 'v_x' ), 'c_times'( 'v_c', 'c_times'(
% 0.69/1.08 'c_HOL_Oinverse'( 'v_c', 't_a' ), 'v_g'( 'v_x' ), 't_a' ), 't_a' ) ) ) ]
% 0.69/1.08 )
% 0.69/1.08 , clause( 63, [ 'class_Ring__and__Field_Oordered__field'( 't_a' ) ] )
% 0.69/1.08 , clause( 64, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 'c_times'(
% 0.69/1.08 'c_1', Y, X ), Y ) ] )
% 0.69/1.08 , clause( 65, [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), =(
% 0.69/1.08 'c_times'( 'c_times'( Y, Z, X ), T, X ), 'c_times'( Y, 'c_times'( Z, T, X
% 0.69/1.08 ), X ) ) ] )
% 0.69/1.08 , clause( 66, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ),
% 0.69/1.08 =( 'c_times'( Y, 'c_HOL_Oinverse'( Y, X ), X ), 'c_1' ) ] )
% 0.69/1.08 , clause( 67, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.69/1.08 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 0.69/1.08 , clause( 68, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.69/1.08 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 0.69/1.08 , clause( 69, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.69/1.08 'class_Ring__and__Field_Ofield'( X ) ] )
% 0.69/1.08 ] ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 eqswap(
% 0.69/1.08 clause( 70, [ ~( =( 'c_0', 'v_c' ) ) ] )
% 0.69/1.08 , clause( 61, [ ~( =( 'v_c', 'c_0' ) ) ] )
% 0.69/1.08 , 0, substitution( 0, [] )).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 subsumption(
% 0.69/1.08 clause( 0, [ ~( =( 'c_0', 'v_c' ) ) ] )
% 0.69/1.08 , clause( 70, [ ~( =( 'c_0', 'v_c' ) ) ] )
% 0.69/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 eqswap(
% 0.69/1.08 clause( 72, [ ~( =( 'c_times'( 'v_c', 'c_times'( 'c_HOL_Oinverse'( 'v_c',
% 0.69/1.08 't_a' ), 'v_g'( 'v_x' ), 't_a' ), 't_a' ), 'v_g'( 'v_x' ) ) ) ] )
% 0.69/1.08 , clause( 62, [ ~( =( 'v_g'( 'v_x' ), 'c_times'( 'v_c', 'c_times'(
% 0.69/1.08 'c_HOL_Oinverse'( 'v_c', 't_a' ), 'v_g'( 'v_x' ), 't_a' ), 't_a' ) ) ) ]
% 0.69/1.08 )
% 0.69/1.08 , 0, substitution( 0, [] )).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 subsumption(
% 0.69/1.08 clause( 1, [ ~( =( 'c_times'( 'v_c', 'c_times'( 'c_HOL_Oinverse'( 'v_c',
% 0.69/1.08 't_a' ), 'v_g'( 'v_x' ), 't_a' ), 't_a' ), 'v_g'( 'v_x' ) ) ) ] )
% 0.69/1.08 , clause( 72, [ ~( =( 'c_times'( 'v_c', 'c_times'( 'c_HOL_Oinverse'( 'v_c'
% 0.69/1.08 , 't_a' ), 'v_g'( 'v_x' ), 't_a' ), 't_a' ), 'v_g'( 'v_x' ) ) ) ] )
% 0.69/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 subsumption(
% 0.69/1.08 clause( 2, [ 'class_Ring__and__Field_Oordered__field'( 't_a' ) ] )
% 0.69/1.08 , clause( 63, [ 'class_Ring__and__Field_Oordered__field'( 't_a' ) ] )
% 0.69/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 subsumption(
% 0.69/1.08 clause( 3, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 'c_times'(
% 0.69/1.08 'c_1', Y, X ), Y ) ] )
% 0.69/1.08 , clause( 64, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 'c_times'(
% 0.69/1.08 'c_1', Y, X ), Y ) ] )
% 0.69/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.08 ), ==>( 1, 1 )] ) ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 eqswap(
% 0.69/1.08 clause( 81, [ =( 'c_times'( X, 'c_times'( Y, T, Z ), Z ), 'c_times'(
% 0.69/1.08 'c_times'( X, Y, Z ), T, Z ) ), ~( 'class_OrderedGroup_Osemigroup__mult'(
% 0.69/1.08 Z ) ) ] )
% 0.69/1.08 , clause( 65, [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), =(
% 0.69/1.08 'c_times'( 'c_times'( Y, Z, X ), T, X ), 'c_times'( Y, 'c_times'( Z, T, X
% 0.69/1.08 ), X ) ) ] )
% 0.69/1.08 , 1, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, T )] )
% 0.69/1.08 ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 subsumption(
% 0.69/1.08 clause( 4, [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), =( 'c_times'(
% 0.69/1.08 Y, 'c_times'( Z, T, X ), X ), 'c_times'( 'c_times'( Y, Z, X ), T, X ) ) ]
% 0.69/1.08 )
% 0.69/1.08 , clause( 81, [ =( 'c_times'( X, 'c_times'( Y, T, Z ), Z ), 'c_times'(
% 0.69/1.08 'c_times'( X, Y, Z ), T, Z ) ), ~( 'class_OrderedGroup_Osemigroup__mult'(
% 0.69/1.08 Z ) ) ] )
% 0.69/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, T )] ),
% 0.69/1.08 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 subsumption(
% 0.69/1.08 clause( 5, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =(
% 0.69/1.08 'c_times'( Y, 'c_HOL_Oinverse'( Y, X ), X ), 'c_1' ) ] )
% 0.69/1.08 , clause( 66, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ),
% 0.69/1.08 =( 'c_times'( Y, 'c_HOL_Oinverse'( Y, X ), X ), 'c_1' ) ] )
% 0.69/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.08 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 subsumption(
% 0.69/1.08 clause( 6, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.69/1.08 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 0.69/1.08 , clause( 67, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.69/1.08 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 0.69/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.69/1.08 1 )] ) ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 subsumption(
% 0.69/1.08 clause( 7, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.69/1.08 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 0.69/1.08 , clause( 68, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.69/1.08 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 0.69/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.69/1.08 1 )] ) ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 subsumption(
% 0.69/1.08 clause( 8, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.69/1.08 'class_Ring__and__Field_Ofield'( X ) ] )
% 0.69/1.08 , clause( 69, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.69/1.08 'class_Ring__and__Field_Ofield'( X ) ] )
% 0.69/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.69/1.08 1 )] ) ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 resolution(
% 0.69/1.08 clause( 110, [ 'class_Ring__and__Field_Ofield'( 't_a' ) ] )
% 0.69/1.08 , clause( 8, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.69/1.08 'class_Ring__and__Field_Ofield'( X ) ] )
% 0.69/1.08 , 0, clause( 2, [ 'class_Ring__and__Field_Oordered__field'( 't_a' ) ] )
% 0.69/1.08 , 0, substitution( 0, [ :=( X, 't_a' )] ), substitution( 1, [] )).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 subsumption(
% 0.69/1.08 clause( 9, [ 'class_Ring__and__Field_Ofield'( 't_a' ) ] )
% 0.69/1.08 , clause( 110, [ 'class_Ring__and__Field_Ofield'( 't_a' ) ] )
% 0.69/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 eqswap(
% 0.69/1.08 clause( 111, [ =( X, 'c_times'( 'c_1', X, Y ) ), ~(
% 0.69/1.08 'class_OrderedGroup_Omonoid__mult'( Y ) ) ] )
% 0.69/1.08 , clause( 3, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 'c_times'(
% 0.69/1.08 'c_1', Y, X ), Y ) ] )
% 0.69/1.08 , 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 resolution(
% 0.69/1.08 clause( 112, [ =( X, 'c_times'( 'c_1', X, Y ) ), ~(
% 0.69/1.08 'class_Ring__and__Field_Ofield'( Y ) ) ] )
% 0.69/1.08 , clause( 111, [ =( X, 'c_times'( 'c_1', X, Y ) ), ~(
% 0.69/1.08 'class_OrderedGroup_Omonoid__mult'( Y ) ) ] )
% 0.69/1.08 , 1, clause( 6, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.69/1.08 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 0.69/1.08 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 0.69/1.08 , Y )] )).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 eqswap(
% 0.69/1.08 clause( 113, [ =( 'c_times'( 'c_1', X, Y ), X ), ~(
% 0.69/1.08 'class_Ring__and__Field_Ofield'( Y ) ) ] )
% 0.69/1.08 , clause( 112, [ =( X, 'c_times'( 'c_1', X, Y ) ), ~(
% 0.69/1.08 'class_Ring__and__Field_Ofield'( Y ) ) ] )
% 0.69/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 subsumption(
% 0.69/1.08 clause( 15, [ =( 'c_times'( 'c_1', X, Y ), X ), ~(
% 0.69/1.08 'class_Ring__and__Field_Ofield'( Y ) ) ] )
% 0.69/1.08 , clause( 113, [ =( 'c_times'( 'c_1', X, Y ), X ), ~(
% 0.69/1.08 'class_Ring__and__Field_Ofield'( Y ) ) ] )
% 0.69/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.08 ), ==>( 1, 1 )] ) ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 eqswap(
% 0.69/1.08 clause( 114, [ =( 'c_times'( 'c_times'( X, Y, T ), Z, T ), 'c_times'( X,
% 0.69/1.08 'c_times'( Y, Z, T ), T ) ), ~( 'class_OrderedGroup_Osemigroup__mult'( T
% 0.69/1.08 ) ) ] )
% 0.69/1.08 , clause( 4, [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), =(
% 0.69/1.08 'c_times'( Y, 'c_times'( Z, T, X ), X ), 'c_times'( 'c_times'( Y, Z, X )
% 0.69/1.08 , T, X ) ) ] )
% 0.69/1.08 , 1, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )
% 0.69/1.08 ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 resolution(
% 0.69/1.08 clause( 115, [ =( 'c_times'( 'c_times'( X, Y, Z ), T, Z ), 'c_times'( X,
% 0.69/1.08 'c_times'( Y, T, Z ), Z ) ), ~( 'class_Ring__and__Field_Ofield'( Z ) ) ]
% 0.69/1.08 )
% 0.69/1.08 , clause( 114, [ =( 'c_times'( 'c_times'( X, Y, T ), Z, T ), 'c_times'( X,
% 0.69/1.08 'c_times'( Y, Z, T ), T ) ), ~( 'class_OrderedGroup_Osemigroup__mult'( T
% 0.69/1.08 ) ) ] )
% 0.69/1.08 , 1, clause( 7, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.69/1.08 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 136.92/137.37 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, Z )] ),
% 136.92/137.37 substitution( 1, [ :=( X, Z )] )).
% 136.92/137.37
% 136.92/137.37
% 136.92/137.37 eqswap(
% 136.92/137.37 clause( 116, [ =( 'c_times'( X, 'c_times'( Y, T, Z ), Z ), 'c_times'(
% 136.92/137.37 'c_times'( X, Y, Z ), T, Z ) ), ~( 'class_Ring__and__Field_Ofield'( Z ) )
% 136.92/137.37 ] )
% 136.92/137.37 , clause( 115, [ =( 'c_times'( 'c_times'( X, Y, Z ), T, Z ), 'c_times'( X,
% 136.92/137.37 'c_times'( Y, T, Z ), Z ) ), ~( 'class_Ring__and__Field_Ofield'( Z ) ) ]
% 136.92/137.37 )
% 136.92/137.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 136.92/137.37 ).
% 136.92/137.37
% 136.92/137.37
% 136.92/137.37 subsumption(
% 136.92/137.37 clause( 18, [ =( 'c_times'( X, 'c_times'( Y, Z, T ), T ), 'c_times'(
% 136.92/137.37 'c_times'( X, Y, T ), Z, T ) ), ~( 'class_Ring__and__Field_Ofield'( T ) )
% 136.92/137.37 ] )
% 136.92/137.37 , clause( 116, [ =( 'c_times'( X, 'c_times'( Y, T, Z ), Z ), 'c_times'(
% 136.92/137.37 'c_times'( X, Y, Z ), T, Z ) ), ~( 'class_Ring__and__Field_Ofield'( Z ) )
% 136.92/137.37 ] )
% 136.92/137.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, Z )] ),
% 136.92/137.37 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 136.92/137.37
% 136.92/137.37
% 136.92/137.37 eqswap(
% 136.92/137.37 clause( 117, [ =( 'c_0', X ), ~( 'class_Ring__and__Field_Ofield'( Y ) ),
% 136.92/137.37 =( 'c_times'( X, 'c_HOL_Oinverse'( X, Y ), Y ), 'c_1' ) ] )
% 136.92/137.37 , clause( 5, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ),
% 136.92/137.37 =( 'c_times'( Y, 'c_HOL_Oinverse'( Y, X ), X ), 'c_1' ) ] )
% 136.92/137.37 , 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 136.92/137.37
% 136.92/137.37
% 136.92/137.37 eqswap(
% 136.92/137.37 clause( 120, [ ~( =( 'v_c', 'c_0' ) ) ] )
% 136.92/137.37 , clause( 0, [ ~( =( 'c_0', 'v_c' ) ) ] )
% 136.92/137.37 , 0, substitution( 0, [] )).
% 136.92/137.37
% 136.92/137.37
% 136.92/137.37 paramod(
% 136.92/137.37 clause( 121, [ ~( =( 'v_c', X ) ), ~( 'class_Ring__and__Field_Ofield'( Y )
% 136.92/137.37 ), =( 'c_times'( X, 'c_HOL_Oinverse'( X, Y ), Y ), 'c_1' ) ] )
% 136.92/137.37 , clause( 117, [ =( 'c_0', X ), ~( 'class_Ring__and__Field_Ofield'( Y ) ),
% 136.92/137.37 =( 'c_times'( X, 'c_HOL_Oinverse'( X, Y ), Y ), 'c_1' ) ] )
% 136.92/137.37 , 0, clause( 120, [ ~( =( 'v_c', 'c_0' ) ) ] )
% 136.92/137.37 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [] )
% 136.92/137.37 ).
% 136.92/137.37
% 136.92/137.37
% 136.92/137.37 eqswap(
% 136.92/137.37 clause( 494, [ ~( =( X, 'v_c' ) ), ~( 'class_Ring__and__Field_Ofield'( Y )
% 136.92/137.37 ), =( 'c_times'( X, 'c_HOL_Oinverse'( X, Y ), Y ), 'c_1' ) ] )
% 136.92/137.37 , clause( 121, [ ~( =( 'v_c', X ) ), ~( 'class_Ring__and__Field_Ofield'( Y
% 136.92/137.37 ) ), =( 'c_times'( X, 'c_HOL_Oinverse'( X, Y ), Y ), 'c_1' ) ] )
% 136.92/137.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 136.92/137.37
% 136.92/137.37
% 136.92/137.37 subsumption(
% 136.92/137.37 clause( 41, [ ~( =( X, 'v_c' ) ), ~( 'class_Ring__and__Field_Ofield'( Y ) )
% 136.92/137.37 , =( 'c_times'( X, 'c_HOL_Oinverse'( X, Y ), Y ), 'c_1' ) ] )
% 136.92/137.37 , clause( 494, [ ~( =( X, 'v_c' ) ), ~( 'class_Ring__and__Field_Ofield'( Y
% 136.92/137.37 ) ), =( 'c_times'( X, 'c_HOL_Oinverse'( X, Y ), Y ), 'c_1' ) ] )
% 136.92/137.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 136.92/137.37 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 136.92/137.37
% 136.92/137.37
% 136.92/137.37 eqswap(
% 136.92/137.37 clause( 56736, [ ~( =( 'v_c', X ) ), ~( 'class_Ring__and__Field_Ofield'( Y
% 136.92/137.37 ) ), =( 'c_times'( X, 'c_HOL_Oinverse'( X, Y ), Y ), 'c_1' ) ] )
% 136.92/137.37 , clause( 41, [ ~( =( X, 'v_c' ) ), ~( 'class_Ring__and__Field_Ofield'( Y )
% 136.92/137.37 ), =( 'c_times'( X, 'c_HOL_Oinverse'( X, Y ), Y ), 'c_1' ) ] )
% 136.92/137.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 136.92/137.37
% 136.92/137.37
% 136.92/137.37 eqrefl(
% 136.92/137.37 clause( 56739, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'(
% 136.92/137.37 'v_c', 'c_HOL_Oinverse'( 'v_c', X ), X ), 'c_1' ) ] )
% 136.92/137.37 , clause( 56736, [ ~( =( 'v_c', X ) ), ~( 'class_Ring__and__Field_Ofield'(
% 136.92/137.37 Y ) ), =( 'c_times'( X, 'c_HOL_Oinverse'( X, Y ), Y ), 'c_1' ) ] )
% 136.92/137.37 , 0, substitution( 0, [ :=( X, 'v_c' ), :=( Y, X )] )).
% 136.92/137.37
% 136.92/137.37
% 136.92/137.37 subsumption(
% 136.92/137.37 clause( 43, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'(
% 136.92/137.37 'v_c', 'c_HOL_Oinverse'( 'v_c', X ), X ), 'c_1' ) ] )
% 136.92/137.37 , clause( 56739, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'(
% 136.92/137.37 'v_c', 'c_HOL_Oinverse'( 'v_c', X ), X ), 'c_1' ) ] )
% 136.92/137.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 136.92/137.37 1 )] ) ).
% 136.92/137.37
% 136.92/137.37
% 136.92/137.37 eqswap(
% 136.92/137.37 clause( 56742, [ ~( =( 'v_g'( 'v_x' ), 'c_times'( 'v_c', 'c_times'(
% 136.92/137.37 'c_HOL_Oinverse'( 'v_c', 't_a' ), 'v_g'( 'v_x' ), 't_a' ), 't_a' ) ) ) ]
% 136.92/137.37 )
% 136.92/137.37 , clause( 1, [ ~( =( 'c_times'( 'v_c', 'c_times'( 'c_HOL_Oinverse'( 'v_c',
% 136.92/137.37 't_a' ), 'v_g'( 'v_x' ), 't_a' ), 't_a' ), 'v_g'( 'v_x' ) ) ) ] )
% 136.92/137.37 , 0, substitution( 0, [] )).
% 136.92/137.37
% 136.92/137.37
% 136.92/137.37 paramod(
% 136.92/137.37 clause( 56745, [ ~( =( 'v_g'( 'v_x' ), 'c_times'( 'c_times'( 'v_c',
% 136.92/137.37 'c_HOL_Oinverse'( 'v_c', 't_a' ), 't_a' ), 'v_g'( 'v_x' ), 't_a' ) ) ),
% 136.92/137.37 ~( 'class_Ring__and__Field_Ofield'( 't_a' ) ) ] )
% 136.92/137.37 , clause( 18, [ =( 'c_times'( X, 'c_times'( Y, Z, T ), T ), 'c_times'(
% 136.92/137.37 'c_times'( X, Y, T ), Z, T ) ), ~( 'class_Ring__and__Field_Ofield'( T ) )
% 136.92/137.37 ] )
% 136.92/137.37 , 0, clause( 56742, [ ~( =( 'v_g'( 'v_x' ), 'c_times'( 'v_c', 'c_times'(
% 136.92/137.37 'c_HOL_Oinverse'( 'v_c', 't_a' ), 'v_g'( 'v_x' ), 't_a' ), 't_a' ) ) ) ]
% 136.92/137.37 )
% 136.92/137.37 , 0, 4, substitution( 0, [ :=( X, 'v_c' ), :=( Y, 'c_HOL_Oinverse'( 'v_c',
% 136.92/137.37 't_a' ) ), :=( Z, 'v_g'( 'v_x' ) ), :=( T, 't_a' )] ), substitution( 1, [] )
% 136.92/137.37 ).
% 136.92/137.37
% 136.92/137.37
% 136.92/137.37 paramod(
% 136.92/137.37 clause( 56746, [ ~( =( 'v_g'( 'v_x' ), 'c_times'( 'c_1', 'v_g'( 'v_x' ),
% 136.92/137.37 't_a' ) ) ), ~( 'class_Ring__and__Field_Ofield'( 't_a' ) ), ~(
% 136.92/137.37 'class_Ring__and__Field_Ofield'( 't_a' ) ) ] )
% 136.92/137.37 , clause( 43, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'(
% 136.92/137.37 'v_c', 'c_HOL_Oinverse'( 'v_c', X ), X ), 'c_1' ) ] )
% 136.92/137.37 , 1, clause( 56745, [ ~( =( 'v_g'( 'v_x' ), 'c_times'( 'c_times'( 'v_c',
% 136.92/137.37 'c_HOL_Oinverse'( 'v_c', 't_a' ), 't_a' ), 'v_g'( 'v_x' ), 't_a' ) ) ),
% 136.92/137.37 ~( 'class_Ring__and__Field_Ofield'( 't_a' ) ) ] )
% 136.92/137.37 , 0, 5, substitution( 0, [ :=( X, 't_a' )] ), substitution( 1, [] )).
% 136.92/137.37
% 136.92/137.37
% 136.92/137.37 factor(
% 136.92/137.37 clause( 56747, [ ~( =( 'v_g'( 'v_x' ), 'c_times'( 'c_1', 'v_g'( 'v_x' ),
% 136.92/137.37 't_a' ) ) ), ~( 'class_Ring__and__Field_Ofield'( 't_a' ) ) ] )
% 136.92/137.37 , clause( 56746, [ ~( =( 'v_g'( 'v_x' ), 'c_times'( 'c_1', 'v_g'( 'v_x' ),
% 136.92/137.37 't_a' ) ) ), ~( 'class_Ring__and__Field_Ofield'( 't_a' ) ), ~(
% 136.92/137.37 'class_Ring__and__Field_Ofield'( 't_a' ) ) ] )
% 136.92/137.37 , 1, 2, substitution( 0, [] )).
% 136.92/137.37
% 136.92/137.37
% 136.92/137.37 paramod(
% 136.92/137.37 clause( 56748, [ ~( =( 'v_g'( 'v_x' ), 'v_g'( 'v_x' ) ) ), ~(
% 136.92/137.37 'class_Ring__and__Field_Ofield'( 't_a' ) ), ~(
% 136.92/137.37 'class_Ring__and__Field_Ofield'( 't_a' ) ) ] )
% 136.92/137.37 , clause( 15, [ =( 'c_times'( 'c_1', X, Y ), X ), ~(
% 136.92/137.37 'class_Ring__and__Field_Ofield'( Y ) ) ] )
% 136.92/137.37 , 0, clause( 56747, [ ~( =( 'v_g'( 'v_x' ), 'c_times'( 'c_1', 'v_g'( 'v_x'
% 136.92/137.37 ), 't_a' ) ) ), ~( 'class_Ring__and__Field_Ofield'( 't_a' ) ) ] )
% 136.92/137.37 , 0, 4, substitution( 0, [ :=( X, 'v_g'( 'v_x' ) ), :=( Y, 't_a' )] ),
% 136.92/137.37 substitution( 1, [] )).
% 136.92/137.37
% 136.92/137.37
% 136.92/137.37 factor(
% 136.92/137.37 clause( 56749, [ ~( =( 'v_g'( 'v_x' ), 'v_g'( 'v_x' ) ) ), ~(
% 136.92/137.37 'class_Ring__and__Field_Ofield'( 't_a' ) ) ] )
% 136.92/137.37 , clause( 56748, [ ~( =( 'v_g'( 'v_x' ), 'v_g'( 'v_x' ) ) ), ~(
% 136.92/137.37 'class_Ring__and__Field_Ofield'( 't_a' ) ), ~(
% 136.92/137.37 'class_Ring__and__Field_Ofield'( 't_a' ) ) ] )
% 136.92/137.37 , 1, 2, substitution( 0, [] )).
% 136.92/137.37
% 136.92/137.37
% 136.92/137.37 eqrefl(
% 136.92/137.37 clause( 56750, [ ~( 'class_Ring__and__Field_Ofield'( 't_a' ) ) ] )
% 136.92/137.37 , clause( 56749, [ ~( =( 'v_g'( 'v_x' ), 'v_g'( 'v_x' ) ) ), ~(
% 136.92/137.37 'class_Ring__and__Field_Ofield'( 't_a' ) ) ] )
% 136.92/137.37 , 0, substitution( 0, [] )).
% 136.92/137.37
% 136.92/137.37
% 136.92/137.37 resolution(
% 136.92/137.37 clause( 56751, [] )
% 136.92/137.37 , clause( 56750, [ ~( 'class_Ring__and__Field_Ofield'( 't_a' ) ) ] )
% 136.92/137.37 , 0, clause( 9, [ 'class_Ring__and__Field_Ofield'( 't_a' ) ] )
% 136.92/137.37 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 136.92/137.37
% 136.92/137.37
% 136.92/137.37 subsumption(
% 136.92/137.37 clause( 59, [] )
% 136.92/137.37 , clause( 56751, [] )
% 136.92/137.37 , substitution( 0, [] ), permutation( 0, [] ) ).
% 136.92/137.37
% 136.92/137.37
% 136.92/137.37 end.
% 136.92/137.37
% 136.92/137.37 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 136.92/137.37
% 136.92/137.37 Memory use:
% 136.92/137.37
% 136.92/137.37 space for terms: 986
% 136.92/137.37 space for clauses: 4247
% 136.92/137.37
% 136.92/137.37
% 136.92/137.37 clauses generated: 318
% 136.92/137.37 clauses kept: 60
% 136.92/137.37 clauses selected: 26
% 136.92/137.37 clauses deleted: 0
% 136.92/137.37 clauses inuse deleted: 0
% 136.92/137.37
% 136.92/137.37 subsentry: 449214515
% 136.92/137.37 literals s-matched: 13847301
% 136.92/137.37 literals matched: 12427543
% 136.92/137.37 full subsumption: 12097393
% 136.92/137.37
% 136.92/137.37 checksum: -288717585
% 136.92/137.37
% 136.92/137.37
% 136.92/137.37 Bliksem ended
%------------------------------------------------------------------------------