%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ANA012-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n013.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 18:38:10 EDT 2022
% Result : Unsatisfiable 0.65s 1.06s
% Output : Refutation 0.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : ANA012-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n013.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 : Fri Jul 8 03:36:29 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.65/1.06 *** allocated 10000 integers for termspace/termends
% 0.65/1.06 *** allocated 10000 integers for clauses
% 0.65/1.06 *** allocated 10000 integers for justifications
% 0.65/1.06 Bliksem 1.12
% 0.65/1.06
% 0.65/1.06
% 0.65/1.06 Automatic Strategy Selection
% 0.65/1.06
% 0.65/1.06 Clauses:
% 0.65/1.06 [
% 0.65/1.06 [ ~( =( 'v_c', 'c_0' ) ) ],
% 0.65/1.06 [ ~( 'c_lessequals'( 'c_1', 'c_times'( X, 'c_HOL_Oabs'( 'v_c', 't_a' ),
% 0.65/1.06 't_a' ), 't_a' ) ) ],
% 0.65/1.06 [ 'class_Ring__and__Field_Oordered__field'( 't_a' ) ],
% 0.65/1.06 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~( =(
% 0.65/1.06 'c_HOL_Oabs'( Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 0.65/1.06 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.65/1.06 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_times'(
% 0.65/1.06 'c_HOL_Oinverse'( Y, X ), Y, X ), 'c_1' ) ],
% 0.65/1.06 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.65/1.06 'class_Ring__and__Field_Ofield'( X ) ],
% 0.65/1.06 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.65/1.06 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 0.65/1.06 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.65/1.06 'class_Orderings_Oorder'( X ) ]
% 0.65/1.06 ] .
% 0.65/1.06
% 0.65/1.06
% 0.65/1.06 percentage equality = 0.294118, percentage horn = 0.888889
% 0.65/1.06 This is a problem with some equality
% 0.65/1.06
% 0.65/1.06
% 0.65/1.06
% 0.65/1.06 Options Used:
% 0.65/1.06
% 0.65/1.06 useres = 1
% 0.65/1.06 useparamod = 1
% 0.65/1.06 useeqrefl = 1
% 0.65/1.06 useeqfact = 1
% 0.65/1.06 usefactor = 1
% 0.65/1.06 usesimpsplitting = 0
% 0.65/1.06 usesimpdemod = 5
% 0.65/1.06 usesimpres = 3
% 0.65/1.06
% 0.65/1.06 resimpinuse = 1000
% 0.65/1.06 resimpclauses = 20000
% 0.65/1.06 substype = eqrewr
% 0.65/1.06 backwardsubs = 1
% 0.65/1.06 selectoldest = 5
% 0.65/1.06
% 0.65/1.06 litorderings [0] = split
% 0.65/1.06 litorderings [1] = extend the termordering, first sorting on arguments
% 0.65/1.06
% 0.65/1.06 termordering = kbo
% 0.65/1.06
% 0.65/1.06 litapriori = 0
% 0.65/1.06 termapriori = 1
% 0.65/1.06 litaposteriori = 0
% 0.65/1.06 termaposteriori = 0
% 0.65/1.06 demodaposteriori = 0
% 0.65/1.06 ordereqreflfact = 0
% 0.65/1.06
% 0.65/1.06 litselect = negord
% 0.65/1.06
% 0.65/1.06 maxweight = 15
% 0.65/1.06 maxdepth = 30000
% 0.65/1.06 maxlength = 115
% 0.65/1.06 maxnrvars = 195
% 0.65/1.06 excuselevel = 1
% 0.65/1.06 increasemaxweight = 1
% 0.65/1.06
% 0.65/1.06 maxselected = 10000000
% 0.65/1.06 maxnrclauses = 10000000
% 0.65/1.06
% 0.65/1.06 showgenerated = 0
% 0.65/1.06 showkept = 0
% 0.65/1.06 showselected = 0
% 0.65/1.06 showdeleted = 0
% 0.65/1.06 showresimp = 1
% 0.65/1.06 showstatus = 2000
% 0.65/1.06
% 0.65/1.06 prologoutput = 1
% 0.65/1.06 nrgoals = 5000000
% 0.65/1.06 totalproof = 1
% 0.65/1.06
% 0.65/1.06 Symbols occurring in the translation:
% 0.65/1.06
% 0.65/1.06 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.65/1.06 . [1, 2] (w:1, o:27, a:1, s:1, b:0),
% 0.65/1.06 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 0.65/1.06 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.65/1.06 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.65/1.06 'v_c' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.65/1.06 'c_0' [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.65/1.06 'c_1' [41, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.65/1.06 't_a' [43, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.65/1.06 'c_HOL_Oabs' [44, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.65/1.06 'c_times' [45, 3] (w:1, o:54, a:1, s:1, b:0),
% 0.65/1.06 'c_lessequals' [46, 3] (w:1, o:55, a:1, s:1, b:0),
% 0.65/1.06 'class_Ring__and__Field_Oordered__field' [47, 1] (w:1, o:23, a:1, s:1
% 0.65/1.06 , b:0),
% 0.65/1.06 'class_OrderedGroup_Olordered__ab__group__abs' [49, 1] (w:1, o:24, a:
% 0.65/1.06 1, s:1, b:0),
% 0.65/1.06 'class_Orderings_Oorder' [51, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.65/1.06 'class_Ring__and__Field_Ofield' [53, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.65/1.06 'c_HOL_Oinverse' [54, 2] (w:1, o:53, a:1, s:1, b:0).
% 0.65/1.06
% 0.65/1.06
% 0.65/1.06 Starting Search:
% 0.65/1.06
% 0.65/1.06
% 0.65/1.06 Bliksems!, er is een bewijs:
% 0.65/1.06 % SZS status Unsatisfiable
% 0.65/1.06 % SZS output start Refutation
% 0.65/1.06
% 0.65/1.06 clause( 0, [ ~( =( 'c_0', 'v_c' ) ) ] )
% 0.65/1.06 .
% 0.65/1.06 clause( 1, [ ~( 'c_lessequals'( 'c_1', 'c_times'( X, 'c_HOL_Oabs'( 'v_c',
% 0.65/1.06 't_a' ), 't_a' ), 't_a' ) ) ] )
% 0.65/1.06 .
% 0.65/1.06 clause( 2, [ 'class_Ring__and__Field_Oordered__field'( 't_a' ) ] )
% 0.65/1.06 .
% 0.65/1.06 clause( 3, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~(
% 0.65/1.06 =( 'c_HOL_Oabs'( Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ] )
% 0.65/1.06 .
% 0.65/1.06 clause( 4, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X )
% 0.65/1.06 ] )
% 0.65/1.06 .
% 0.65/1.06 clause( 5, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =(
% 0.65/1.06 'c_times'( 'c_HOL_Oinverse'( Y, X ), Y, X ), 'c_1' ) ] )
% 0.65/1.06 .
% 0.65/1.06 clause( 6, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.65/1.06 'class_Ring__and__Field_Ofield'( X ) ] )
% 0.65/1.06 .
% 0.65/1.06 clause( 7, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.65/1.06 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 0.65/1.06 .
% 0.65/1.06 clause( 8, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.65/1.06 'class_Orderings_Oorder'( X ) ] )
% 0.65/1.06 .
% 0.65/1.06 clause( 9, [ 'class_Orderings_Oorder'( 't_a' ) ] )
% 0.65/1.06 .
% 0.65/1.06 clause( 10, [ 'class_OrderedGroup_Olordered__ab__group__abs'( 't_a' ) ] )
% 0.65/1.06 .
% 0.65/1.06 clause( 11, [ 'class_Ring__and__Field_Ofield'( 't_a' ) ] )
% 0.65/1.06 .
% 0.65/1.06 clause( 12, [ 'c_lessequals'( X, X, 't_a' ) ] )
% 0.65/1.06 .
% 0.65/1.06 clause( 26, [ ~( =( X, 'v_c' ) ), ~(
% 0.65/1.06 'class_OrderedGroup_Olordered__ab__group__abs'( Y ) ), ~( =( 'c_HOL_Oabs'(
% 0.65/1.06 X, Y ), 'c_0' ) ) ] )
% 0.65/1.06 .
% 0.65/1.06 clause( 28, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~(
% 0.65/1.06 =( 'c_HOL_Oabs'( 'v_c', X ), 'c_0' ) ) ] )
% 0.65/1.06 .
% 0.65/1.06 clause( 33, [ ~( =( 'c_HOL_Oabs'( 'v_c', 't_a' ), 'c_0' ) ) ] )
% 0.65/1.06 .
% 0.65/1.06 clause( 57, [ ~( 'class_Ring__and__Field_Ofield'( 't_a' ) ), =(
% 0.65/1.06 'c_HOL_Oabs'( 'v_c', 't_a' ), 'c_0' ) ] )
% 0.65/1.06 .
% 0.65/1.06 clause( 63, [] )
% 0.65/1.06 .
% 0.65/1.06
% 0.65/1.06
% 0.65/1.06 % SZS output end Refutation
% 0.65/1.06 found a proof!
% 0.65/1.06
% 0.65/1.06 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.65/1.06
% 0.65/1.06 initialclauses(
% 0.65/1.06 [ clause( 65, [ ~( =( 'v_c', 'c_0' ) ) ] )
% 0.65/1.06 , clause( 66, [ ~( 'c_lessequals'( 'c_1', 'c_times'( X, 'c_HOL_Oabs'( 'v_c'
% 0.65/1.06 , 't_a' ), 't_a' ), 't_a' ) ) ] )
% 0.65/1.06 , clause( 67, [ 'class_Ring__and__Field_Oordered__field'( 't_a' ) ] )
% 0.65/1.06 , clause( 68, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.65/1.06 ~( =( 'c_HOL_Oabs'( Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ] )
% 0.65/1.06 , clause( 69, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X
% 0.65/1.06 ) ] )
% 0.65/1.06 , clause( 70, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ),
% 0.65/1.06 =( 'c_times'( 'c_HOL_Oinverse'( Y, X ), Y, X ), 'c_1' ) ] )
% 0.65/1.06 , clause( 71, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.65/1.06 'class_Ring__and__Field_Ofield'( X ) ] )
% 0.65/1.06 , clause( 72, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.65/1.06 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 0.65/1.06 , clause( 73, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.65/1.06 'class_Orderings_Oorder'( X ) ] )
% 0.65/1.06 ] ).
% 0.65/1.06
% 0.65/1.06
% 0.65/1.06
% 0.65/1.06 eqswap(
% 0.65/1.06 clause( 74, [ ~( =( 'c_0', 'v_c' ) ) ] )
% 0.65/1.06 , clause( 65, [ ~( =( 'v_c', 'c_0' ) ) ] )
% 0.65/1.06 , 0, substitution( 0, [] )).
% 0.65/1.06
% 0.65/1.06
% 0.65/1.06 subsumption(
% 0.65/1.06 clause( 0, [ ~( =( 'c_0', 'v_c' ) ) ] )
% 0.65/1.06 , clause( 74, [ ~( =( 'c_0', 'v_c' ) ) ] )
% 0.65/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.65/1.06
% 0.65/1.06
% 0.65/1.06 subsumption(
% 0.65/1.06 clause( 1, [ ~( 'c_lessequals'( 'c_1', 'c_times'( X, 'c_HOL_Oabs'( 'v_c',
% 0.65/1.06 't_a' ), 't_a' ), 't_a' ) ) ] )
% 0.65/1.06 , clause( 66, [ ~( 'c_lessequals'( 'c_1', 'c_times'( X, 'c_HOL_Oabs'( 'v_c'
% 0.65/1.06 , 't_a' ), 't_a' ), 't_a' ) ) ] )
% 0.65/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.65/1.06
% 0.65/1.06
% 0.65/1.06 subsumption(
% 0.65/1.06 clause( 2, [ 'class_Ring__and__Field_Oordered__field'( 't_a' ) ] )
% 0.65/1.06 , clause( 67, [ 'class_Ring__and__Field_Oordered__field'( 't_a' ) ] )
% 0.65/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.65/1.06
% 0.65/1.06
% 0.65/1.06 subsumption(
% 0.65/1.06 clause( 3, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~(
% 0.65/1.06 =( 'c_HOL_Oabs'( Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ] )
% 0.65/1.06 , clause( 68, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 0.65/1.06 ~( =( 'c_HOL_Oabs'( Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ] )
% 0.65/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.65/1.06 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.65/1.06
% 0.65/1.06
% 0.65/1.06 subsumption(
% 0.65/1.06 clause( 4, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X )
% 0.65/1.06 ] )
% 0.65/1.06 , clause( 69, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X
% 0.65/1.06 ) ] )
% 0.65/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.65/1.06 ), ==>( 1, 1 )] ) ).
% 0.65/1.06
% 0.65/1.06
% 0.65/1.06 subsumption(
% 0.65/1.06 clause( 5, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =(
% 0.65/1.06 'c_times'( 'c_HOL_Oinverse'( Y, X ), Y, X ), 'c_1' ) ] )
% 0.65/1.06 , clause( 70, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ),
% 0.65/1.06 =( 'c_times'( 'c_HOL_Oinverse'( Y, X ), Y, X ), 'c_1' ) ] )
% 0.65/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.65/1.06 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.65/1.06
% 0.65/1.06
% 0.65/1.06 subsumption(
% 0.65/1.06 clause( 6, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.65/1.06 'class_Ring__and__Field_Ofield'( X ) ] )
% 0.65/1.06 , clause( 71, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.65/1.06 'class_Ring__and__Field_Ofield'( X ) ] )
% 0.65/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.65/1.06 1 )] ) ).
% 0.65/1.06
% 0.65/1.06
% 0.65/1.06 subsumption(
% 0.65/1.06 clause( 7, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.65/1.06 'class_OrderedGroup_Olordered__ab__grouCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------