TSTP Solution File: SWV401+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV401+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n007.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 : Wed Jul 20 16:24:44 EDT 2022
% Result : Theorem 6.06s 6.49s
% Output : Refutation 6.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWV401+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n007.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 : Tue Jun 14 17:30:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 6.06/6.49 *** allocated 10000 integers for termspace/termends
% 6.06/6.49 *** allocated 10000 integers for clauses
% 6.06/6.49 *** allocated 10000 integers for justifications
% 6.06/6.49 Bliksem 1.12
% 6.06/6.49
% 6.06/6.49
% 6.06/6.49 Automatic Strategy Selection
% 6.06/6.49
% 6.06/6.49
% 6.06/6.49 Clauses:
% 6.06/6.49
% 6.06/6.49 { ! less_than( X, Z ), ! less_than( Z, Y ), less_than( X, Y ) }.
% 6.06/6.49 { less_than( X, Y ), less_than( Y, X ) }.
% 6.06/6.49 { less_than( X, X ) }.
% 6.06/6.49 { ! strictly_less_than( X, Y ), less_than( X, Y ) }.
% 6.06/6.49 { ! strictly_less_than( X, Y ), ! less_than( Y, X ) }.
% 6.06/6.49 { ! less_than( X, Y ), less_than( Y, X ), strictly_less_than( X, Y ) }.
% 6.06/6.49 { less_than( bottom, X ) }.
% 6.06/6.49 { ! isnonempty_slb( create_slb ) }.
% 6.06/6.49 { isnonempty_slb( insert_slb( X, pair( Y, Z ) ) ) }.
% 6.06/6.49 { ! contains_slb( create_slb, X ) }.
% 6.06/6.49 { ! contains_slb( insert_slb( X, pair( Y, T ) ), Z ), contains_slb( X, Z )
% 6.06/6.49 , Y = Z }.
% 6.06/6.49 { ! contains_slb( X, Z ), contains_slb( insert_slb( X, pair( Y, T ) ), Z )
% 6.06/6.49 }.
% 6.06/6.49 { ! Y = Z, contains_slb( insert_slb( X, pair( Y, T ) ), Z ) }.
% 6.06/6.49 { ! pair_in_list( create_slb, X, Y ) }.
% 6.06/6.49 { ! pair_in_list( insert_slb( X, pair( Y, T ) ), Z, U ), pair_in_list( X, Z
% 6.06/6.49 , U ), alpha1( Y, Z, T, U ) }.
% 6.06/6.49 { ! pair_in_list( X, Z, U ), pair_in_list( insert_slb( X, pair( Y, T ) ), Z
% 6.06/6.49 , U ) }.
% 6.06/6.49 { ! alpha1( Y, Z, T, U ), pair_in_list( insert_slb( X, pair( Y, T ) ), Z, U
% 6.06/6.49 ) }.
% 6.06/6.49 { ! alpha1( X, Y, Z, T ), X = Y }.
% 6.06/6.49 { ! alpha1( X, Y, Z, T ), Z = T }.
% 6.06/6.49 { ! X = Y, ! Z = T, alpha1( X, Y, Z, T ) }.
% 6.06/6.49 { remove_slb( insert_slb( X, pair( Y, Z ) ), Y ) = X }.
% 6.06/6.49 { Y = Z, ! contains_slb( X, Z ), remove_slb( insert_slb( X, pair( Y, T ) )
% 6.06/6.49 , Z ) = insert_slb( remove_slb( X, Z ), pair( Y, T ) ) }.
% 6.06/6.49 { lookup_slb( insert_slb( X, pair( Y, Z ) ), Y ) = Z }.
% 6.06/6.49 { Y = Z, ! contains_slb( X, Z ), lookup_slb( insert_slb( X, pair( Y, T ) )
% 6.06/6.49 , Z ) = lookup_slb( X, Z ) }.
% 6.06/6.49 { update_slb( create_slb, X ) = create_slb }.
% 6.06/6.49 { ! strictly_less_than( Y, X ), update_slb( insert_slb( Z, pair( T, Y ) ),
% 6.06/6.49 X ) = insert_slb( update_slb( Z, X ), pair( T, X ) ) }.
% 6.06/6.49 { ! less_than( X, Y ), update_slb( insert_slb( Z, pair( T, Y ) ), X ) =
% 6.06/6.49 insert_slb( update_slb( Z, X ), pair( T, Y ) ) }.
% 6.06/6.49 { ! pair_in_list( skol1, X, Y ), ! less_than( Z, Y ), pair_in_list(
% 6.06/6.49 update_slb( skol1, Z ), X, Y ) }.
% 6.06/6.49 { pair_in_list( insert_slb( skol1, pair( skol5, skol6 ) ), skol2, skol3 ) }
% 6.06/6.49 .
% 6.06/6.49 { less_than( skol4, skol3 ) }.
% 6.06/6.49 { ! pair_in_list( update_slb( insert_slb( skol1, pair( skol5, skol6 ) ),
% 6.06/6.49 skol4 ), skol2, skol3 ) }.
% 6.06/6.49
% 6.06/6.49 percentage equality = 0.258621, percentage horn = 0.806452
% 6.06/6.49 This is a problem with some equality
% 6.06/6.49
% 6.06/6.49
% 6.06/6.49
% 6.06/6.49 Options Used:
% 6.06/6.49
% 6.06/6.49 useres = 1
% 6.06/6.49 useparamod = 1
% 6.06/6.49 useeqrefl = 1
% 6.06/6.49 useeqfact = 1
% 6.06/6.49 usefactor = 1
% 6.06/6.49 usesimpsplitting = 0
% 6.06/6.49 usesimpdemod = 5
% 6.06/6.49 usesimpres = 3
% 6.06/6.49
% 6.06/6.49 resimpinuse = 1000
% 6.06/6.49 resimpclauses = 20000
% 6.06/6.49 substype = eqrewr
% 6.06/6.49 backwardsubs = 1
% 6.06/6.49 selectoldest = 5
% 6.06/6.49
% 6.06/6.49 litorderings [0] = split
% 6.06/6.49 litorderings [1] = extend the termordering, first sorting on arguments
% 6.06/6.49
% 6.06/6.49 termordering = kbo
% 6.06/6.49
% 6.06/6.49 litapriori = 0
% 6.06/6.49 termapriori = 1
% 6.06/6.49 litaposteriori = 0
% 6.06/6.49 termaposteriori = 0
% 6.06/6.49 demodaposteriori = 0
% 6.06/6.49 ordereqreflfact = 0
% 6.06/6.49
% 6.06/6.49 litselect = negord
% 6.06/6.49
% 6.06/6.49 maxweight = 15
% 6.06/6.49 maxdepth = 30000
% 6.06/6.49 maxlength = 115
% 6.06/6.49 maxnrvars = 195
% 6.06/6.49 excuselevel = 1
% 6.06/6.49 increasemaxweight = 1
% 6.06/6.49
% 6.06/6.49 maxselected = 10000000
% 6.06/6.49 maxnrclauses = 10000000
% 6.06/6.49
% 6.06/6.49 showgenerated = 0
% 6.06/6.49 showkept = 0
% 6.06/6.49 showselected = 0
% 6.06/6.49 showdeleted = 0
% 6.06/6.49 showresimp = 1
% 6.06/6.49 showstatus = 2000
% 6.06/6.49
% 6.06/6.49 prologoutput = 0
% 6.06/6.49 nrgoals = 5000000
% 6.06/6.49 totalproof = 1
% 6.06/6.49
% 6.06/6.49 Symbols occurring in the translation:
% 6.06/6.49
% 6.06/6.49 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 6.06/6.49 . [1, 2] (w:1, o:29, a:1, s:1, b:0),
% 6.06/6.49 ! [4, 1] (w:0, o:23, a:1, s:1, b:0),
% 6.06/6.49 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 6.06/6.49 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 6.06/6.49 less_than [38, 2] (w:1, o:53, a:1, s:1, b:0),
% 6.06/6.49 strictly_less_than [39, 2] (w:1, o:55, a:1, s:1, b:0),
% 6.06/6.49 bottom [40, 0] (w:1, o:9, a:1, s:1, b:0),
% 6.06/6.49 create_slb [41, 0] (w:1, o:10, a:1, s:1, b:0),
% 6.06/6.49 isnonempty_slb [42, 1] (w:1, o:28, a:1, s:1, b:0),
% 6.06/6.49 pair [43, 2] (w:1, o:56, a:1, s:1, b:0),
% 6.06/6.49 insert_slb [44, 2] (w:1, o:57, a:1, s:1, b:0),
% 6.06/6.49 contains_slb [45, 2] (w:1, o:58, a:1, s:1, b:0),
% 6.06/6.49 pair_in_list [47, 3] (w:1, o:61, a:1, s:1, b:0),
% 6.06/6.49 remove_slb [49, 2] (w:1, o:54, a:1, s:1, b:0),
% 6.06/6.49 lookup_slb [50, 2] (w:1, o:59, a:1, s:1, b:0),
% 6.06/6.49 update_slb [51, 2] (w:1, o:60, a:1, s:1, b:0),
% 6.06/6.49 alpha1 [56, 4] (w:1, o:62, a:1, s:1, b:1),
% 6.06/6.49 skol1 [57, 0] (w:1, o:17, a:1, s:1, b:1),
% 6.06/6.49 skol2 [58, 0] (w:1, o:18, a:1, s:1, b:1),
% 6.06/6.49 skol3 [59, 0] (w:1, o:19, a:1, s:1, b:1),
% 6.06/6.49 skol4 [60, 0] (w:1, o:20, a:1, s:1, b:1),
% 6.06/6.49 skol5 [61, 0] (w:1, o:21, a:1, s:1, b:1),
% 6.06/6.49 skol6 [62, 0] (w:1, o:22, a:1, s:1, b:1).
% 6.06/6.49
% 6.06/6.49
% 6.06/6.49 Starting Search:
% 6.06/6.49
% 6.06/6.49 *** allocated 15000 integers for clauses
% 6.06/6.49 *** allocated 22500 integers for clauses
% 6.06/6.49 *** allocated 33750 integers for clauses
% 6.06/6.49 *** allocated 15000 integers for termspace/termends
% 6.06/6.49 *** allocated 50625 integers for clauses
% 6.06/6.49 *** allocated 22500 integers for termspace/termends
% 6.06/6.49 Resimplifying inuse:
% 6.06/6.49 Done
% 6.06/6.49
% 6.06/6.49 *** allocated 75937 integers for clauses
% 6.06/6.49 *** allocated 33750 integers for termspace/termends
% 6.06/6.49 *** allocated 113905 integers for clauses
% 6.06/6.49 *** allocated 50625 integers for termspace/termends
% 6.06/6.49
% 6.06/6.49 Intermediate Status:
% 6.06/6.49 Generated: 6373
% 6.06/6.49 Kept: 2004
% 6.06/6.49 Inuse: 175
% 6.06/6.49 Deleted: 0
% 6.06/6.49 Deletedinuse: 0
% 6.06/6.49
% 6.06/6.49 Resimplifying inuse:
% 6.06/6.49 Done
% 6.06/6.49
% 6.06/6.49 *** allocated 170857 integers for clauses
% 6.06/6.49 Resimplifying inuse:
% 6.06/6.49 Done
% 6.06/6.49
% 6.06/6.49 *** allocated 75937 integers for termspace/termends
% 6.06/6.49
% 6.06/6.49 Intermediate Status:
% 6.06/6.49 Generated: 21614
% 6.06/6.49 Kept: 4172
% 6.06/6.49 Inuse: 321
% 6.06/6.49 Deleted: 10
% 6.06/6.49 Deletedinuse: 0
% 6.06/6.49
% 6.06/6.49 Resimplifying inuse:
% 6.06/6.49 Done
% 6.06/6.49
% 6.06/6.49 *** allocated 256285 integers for clauses
% 6.06/6.49 *** allocated 113905 integers for termspace/termends
% 6.06/6.49 Resimplifying inuse:
% 6.06/6.49 Done
% 6.06/6.49
% 6.06/6.49 *** allocated 384427 integers for clauses
% 6.06/6.49
% 6.06/6.49 Intermediate Status:
% 6.06/6.49 Generated: 40749
% 6.06/6.49 Kept: 6464
% 6.06/6.49 Inuse: 469
% 6.06/6.49 Deleted: 16
% 6.06/6.49 Deletedinuse: 4
% 6.06/6.49
% 6.06/6.49 Resimplifying inuse:
% 6.06/6.49 Done
% 6.06/6.49
% 6.06/6.49 *** allocated 170857 integers for termspace/termends
% 6.06/6.49 Resimplifying inuse:
% 6.06/6.49 Done
% 6.06/6.49
% 6.06/6.49
% 6.06/6.49 Intermediate Status:
% 6.06/6.49 Generated: 60930
% 6.06/6.49 Kept: 8464
% 6.06/6.49 Inuse: 600
% 6.06/6.49 Deleted: 16
% 6.06/6.49 Deletedinuse: 4
% 6.06/6.49
% 6.06/6.49 Resimplifying inuse:
% 6.06/6.49 Done
% 6.06/6.49
% 6.06/6.49 Resimplifying inuse:
% 6.06/6.49 Done
% 6.06/6.49
% 6.06/6.49 *** allocated 576640 integers for clauses
% 6.06/6.49
% 6.06/6.49 Intermediate Status:
% 6.06/6.49 Generated: 82658
% 6.06/6.49 Kept: 11024
% 6.06/6.49 Inuse: 722
% 6.06/6.49 Deleted: 19
% 6.06/6.49 Deletedinuse: 4
% 6.06/6.49
% 6.06/6.49 Resimplifying inuse:
% 6.06/6.49 Done
% 6.06/6.49
% 6.06/6.49 *** allocated 256285 integers for termspace/termends
% 6.06/6.49 Resimplifying inuse:
% 6.06/6.49 Done
% 6.06/6.49
% 6.06/6.49
% 6.06/6.49 Intermediate Status:
% 6.06/6.49 Generated: 146621
% 6.06/6.49 Kept: 13033
% 6.06/6.49 Inuse: 882
% 6.06/6.49 Deleted: 22
% 6.06/6.49 Deletedinuse: 4
% 6.06/6.49
% 6.06/6.49 Resimplifying inuse:
% 6.06/6.49 Done
% 6.06/6.49
% 6.06/6.49 Resimplifying inuse:
% 6.06/6.49 Done
% 6.06/6.49
% 6.06/6.49
% 6.06/6.49 Intermediate Status:
% 6.06/6.49 Generated: 178048
% 6.06/6.49 Kept: 15033
% 6.06/6.49 Inuse: 995
% 6.06/6.49 Deleted: 26
% 6.06/6.49 Deletedinuse: 4
% 6.06/6.49
% 6.06/6.49 Resimplifying inuse:
% 6.06/6.49 Done
% 6.06/6.49
% 6.06/6.49 *** allocated 864960 integers for clauses
% 6.06/6.49 Resimplifying inuse:
% 6.06/6.49 Done
% 6.06/6.49
% 6.06/6.49 *** allocated 384427 integers for termspace/termends
% 6.06/6.49
% 6.06/6.49 Intermediate Status:
% 6.06/6.49 Generated: 235021
% 6.06/6.49 Kept: 17036
% 6.06/6.49 Inuse: 1266
% 6.06/6.49 Deleted: 29
% 6.06/6.49 Deletedinuse: 4
% 6.06/6.49
% 6.06/6.49 Resimplifying inuse:
% 6.06/6.49 Done
% 6.06/6.49
% 6.06/6.49 Resimplifying inuse:
% 6.06/6.49 Done
% 6.06/6.49
% 6.06/6.49
% 6.06/6.49 Intermediate Status:
% 6.06/6.49 Generated: 288275
% 6.06/6.49 Kept: 19042
% 6.06/6.49 Inuse: 1502
% 6.06/6.49 Deleted: 37
% 6.06/6.49 Deletedinuse: 4
% 6.06/6.49
% 6.06/6.49 Resimplifying inuse:
% 6.06/6.49 Done
% 6.06/6.49
% 6.06/6.49 Resimplifying clauses:
% 6.06/6.49 Done
% 6.06/6.49
% 6.06/6.49
% 6.06/6.49 Bliksems!, er is een bewijs:
% 6.06/6.49 % SZS status Theorem
% 6.06/6.49 % SZS output start Refutation
% 6.06/6.49
% 6.06/6.49 (1) {G0,W6,D2,L2,V2,M2} I { less_than( X, Y ), less_than( Y, X ) }.
% 6.06/6.49 (4) {G0,W6,D2,L2,V2,M2} I { ! strictly_less_than( X, Y ), ! less_than( Y, X
% 6.06/6.49 ) }.
% 6.06/6.49 (5) {G1,W6,D2,L2,V2,M2} I;r(1) { less_than( Y, X ), strictly_less_than( X,
% 6.06/6.49 Y ) }.
% 6.06/6.49 (14) {G0,W17,D4,L3,V5,M3} I { ! pair_in_list( insert_slb( X, pair( Y, T ) )
% 6.06/6.49 , Z, U ), pair_in_list( X, Z, U ), alpha1( Y, Z, T, U ) }.
% 6.06/6.49 (15) {G0,W12,D4,L2,V5,M2} I { ! pair_in_list( X, Z, U ), pair_in_list(
% 6.06/6.49 insert_slb( X, pair( Y, T ) ), Z, U ) }.
% 6.06/6.49 (16) {G0,W13,D4,L2,V5,M2} I { ! alpha1( Y, Z, T, U ), pair_in_list(
% 6.06/6.49 insert_slb( X, pair( Y, T ) ), Z, U ) }.
% 6.06/6.49 (17) {G0,W8,D2,L2,V4,M2} I { ! alpha1( X, Y, Z, T ), X = Y }.
% 6.06/6.49 (18) {G0,W8,D2,L2,V4,M2} I { ! alpha1( X, Y, Z, T ), Z = T }.
% 6.06/6.49 (19) {G0,W11,D2,L3,V4,M3} I { ! X = Y, ! Z = T, alpha1( X, Y, Z, T ) }.
% 6.06/6.49 (25) {G0,W18,D5,L2,V4,M2} I { ! strictly_less_than( Y, X ), update_slb(
% 6.06/6.49 insert_slb( Z, pair( T, Y ) ), X ) = insert_slb( update_slb( Z, X ), pair
% 6.06/6.49 ( T, X ) ) }.
% 6.06/6.49 (26) {G0,W18,D5,L2,V4,M2} I { ! less_than( X, Y ), update_slb( insert_slb(
% 6.06/6.49 Z, pair( T, Y ) ), X ) ==> insert_slb( update_slb( Z, X ), pair( T, Y ) )
% 6.06/6.49 }.
% 6.06/6.49 (27) {G0,W13,D3,L3,V3,M3} I { ! pair_in_list( skol1, X, Y ), ! less_than( Z
% 6.06/6.49 , Y ), pair_in_list( update_slb( skol1, Z ), X, Y ) }.
% 6.06/6.49 (28) {G0,W8,D4,L1,V0,M1} I { pair_in_list( insert_slb( skol1, pair( skol5,
% 6.06/6.49 skol6 ) ), skol2, skol3 ) }.
% 6.06/6.49 (29) {G0,W3,D2,L1,V0,M1} I { less_than( skol4, skol3 ) }.
% 6.06/6.49 (30) {G0,W10,D5,L1,V0,M1} I { ! pair_in_list( update_slb( insert_slb( skol1
% 6.06/6.49 , pair( skol5, skol6 ) ), skol4 ), skol2, skol3 ) }.
% 6.06/6.49 (34) {G1,W8,D2,L2,V3,M2} Q(19) { ! X = Y, alpha1( X, Y, Z, Z ) }.
% 6.06/6.49 (35) {G2,W5,D2,L1,V2,M1} Q(34) { alpha1( X, X, Y, Y ) }.
% 6.06/6.49 (49) {G1,W3,D2,L1,V0,M1} R(4,29) { ! strictly_less_than( skol3, skol4 ) }.
% 6.06/6.49 (289) {G3,W8,D4,L1,V3,M1} R(16,35) { pair_in_list( insert_slb( X, pair( Y,
% 6.06/6.49 Z ) ), Y, Z ) }.
% 6.06/6.49 (414) {G2,W8,D2,L2,V3,M2} P(17,49) { ! strictly_less_than( X, skol4 ), !
% 6.06/6.49 alpha1( skol3, X, Y, Z ) }.
% 6.06/6.49 (754) {G3,W9,D2,L3,V3,M3} R(414,19) { ! strictly_less_than( X, skol4 ), !
% 6.06/6.49 skol3 = X, ! Y = Z }.
% 6.06/6.49 (763) {G4,W6,D2,L2,V1,M2} F(754) { ! strictly_less_than( X, skol4 ), !
% 6.06/6.49 skol3 = X }.
% 6.06/6.49 (844) {G5,W6,D2,L2,V1,M2} R(763,5) { ! skol3 = X, less_than( skol4, X ) }.
% 6.06/6.49 (881) {G1,W15,D5,L1,V2,M1} R(26,29) { update_slb( insert_slb( X, pair( Y,
% 6.06/6.49 skol3 ) ), skol4 ) ==> insert_slb( update_slb( X, skol4 ), pair( Y, skol3
% 6.06/6.49 ) ) }.
% 6.06/6.49 (1022) {G1,W9,D2,L2,V0,M2} R(28,14) { pair_in_list( skol1, skol2, skol3 ),
% 6.06/6.49 alpha1( skol5, skol2, skol6, skol3 ) }.
% 6.06/6.49 (1121) {G1,W13,D4,L2,V0,M2} P(26,30) { ! pair_in_list( insert_slb(
% 6.06/6.49 update_slb( skol1, skol4 ), pair( skol5, skol6 ) ), skol2, skol3 ), !
% 6.06/6.49 less_than( skol4, skol6 ) }.
% 6.06/6.49 (1122) {G1,W13,D4,L2,V0,M2} P(25,30) { ! pair_in_list( insert_slb(
% 6.06/6.49 update_slb( skol1, skol4 ), pair( skol5, skol4 ) ), skol2, skol3 ), !
% 6.06/6.49 strictly_less_than( skol6, skol4 ) }.
% 6.06/6.49 (3238) {G2,W7,D2,L2,V0,M2} R(1022,17) { pair_in_list( skol1, skol2, skol3 )
% 6.06/6.49 , skol5 ==> skol2 }.
% 6.06/6.49 (3241) {G2,W7,D2,L2,V0,M2} R(1022,18) { pair_in_list( skol1, skol2, skol3 )
% 6.06/6.49 , skol6 ==> skol3 }.
% 6.06/6.49 (3272) {G4,W4,D2,L1,V0,M1} P(3238,30);d(3241);d(881);r(289) { pair_in_list
% 6.06/6.49 ( skol1, skol2, skol3 ) }.
% 6.06/6.49 (3290) {G5,W9,D3,L2,V1,M2} R(3272,27) { ! less_than( X, skol3 ),
% 6.06/6.49 pair_in_list( update_slb( skol1, X ), skol2, skol3 ) }.
% 6.06/6.49 (13634) {G6,W6,D3,L1,V0,M1} R(3290,844);q { pair_in_list( update_slb( skol1
% 6.06/6.49 , skol4 ), skol2, skol3 ) }.
% 6.06/6.49 (13670) {G7,W10,D4,L1,V2,M1} R(13634,15) { pair_in_list( insert_slb(
% 6.06/6.49 update_slb( skol1, skol4 ), pair( X, Y ) ), skol2, skol3 ) }.
% 6.06/6.49 (20027) {G8,W3,D2,L1,V0,M1} S(1121);r(13670) { ! less_than( skol4, skol6 )
% 6.06/6.49 }.
% 6.06/6.49 (20028) {G8,W3,D2,L1,V0,M1} S(1122);r(13670) { ! strictly_less_than( skol6
% 6.06/6.49 , skol4 ) }.
% 6.06/6.49 (20171) {G9,W0,D0,L0,V0,M0} R(20027,5);r(20028) { }.
% 6.06/6.49
% 6.06/6.49
% 6.06/6.49 % SZS output end Refutation
% 6.06/6.49 found a proof!
% 6.06/6.49
% 6.06/6.49
% 6.06/6.49 Unprocessed initial clauses:
% 6.06/6.49
% 6.06/6.49 (20173) {G0,W9,D2,L3,V3,M3} { ! less_than( X, Z ), ! less_than( Z, Y ),
% 6.06/6.49 less_than( X, Y ) }.
% 6.06/6.49 (20174) {G0,W6,D2,L2,V2,M2} { less_than( X, Y ), less_than( Y, X ) }.
% 6.06/6.49 (20175) {G0,W3,D2,L1,V1,M1} { less_than( X, X ) }.
% 6.06/6.49 (20176) {G0,W6,D2,L2,V2,M2} { ! strictly_less_than( X, Y ), less_than( X,
% 6.06/6.49 Y ) }.
% 6.06/6.49 (20177) {G0,W6,D2,L2,V2,M2} { ! strictly_less_than( X, Y ), ! less_than( Y
% 6.06/6.49 , X ) }.
% 6.06/6.49 (20178) {G0,W9,D2,L3,V2,M3} { ! less_than( X, Y ), less_than( Y, X ),
% 6.06/6.49 strictly_less_than( X, Y ) }.
% 6.06/6.49 (20179) {G0,W3,D2,L1,V1,M1} { less_than( bottom, X ) }.
% 6.06/6.49 (20180) {G0,W2,D2,L1,V0,M1} { ! isnonempty_slb( create_slb ) }.
% 6.06/6.49 (20181) {G0,W6,D4,L1,V3,M1} { isnonempty_slb( insert_slb( X, pair( Y, Z )
% 6.06/6.49 ) ) }.
% 6.06/6.49 (20182) {G0,W3,D2,L1,V1,M1} { ! contains_slb( create_slb, X ) }.
% 6.06/6.49 (20183) {G0,W13,D4,L3,V4,M3} { ! contains_slb( insert_slb( X, pair( Y, T )
% 6.06/6.49 ), Z ), contains_slb( X, Z ), Y = Z }.
% 6.06/6.49 (20184) {G0,W10,D4,L2,V4,M2} { ! contains_slb( X, Z ), contains_slb(
% 6.06/6.49 insert_slb( X, pair( Y, T ) ), Z ) }.
% 6.06/6.49 (20185) {G0,W10,D4,L2,V4,M2} { ! Y = Z, contains_slb( insert_slb( X, pair
% 6.06/6.49 ( Y, T ) ), Z ) }.
% 6.06/6.49 (20186) {G0,W4,D2,L1,V2,M1} { ! pair_in_list( create_slb, X, Y ) }.
% 6.06/6.49 (20187) {G0,W17,D4,L3,V5,M3} { ! pair_in_list( insert_slb( X, pair( Y, T )
% 6.06/6.49 ), Z, U ), pair_in_list( X, Z, U ), alpha1( Y, Z, T, U ) }.
% 6.06/6.49 (20188) {G0,W12,D4,L2,V5,M2} { ! pair_in_list( X, Z, U ), pair_in_list(
% 6.06/6.49 insert_slb( X, pair( Y, T ) ), Z, U ) }.
% 6.06/6.49 (20189) {G0,W13,D4,L2,V5,M2} { ! alpha1( Y, Z, T, U ), pair_in_list(
% 6.06/6.49 insert_slb( X, pair( Y, T ) ), Z, U ) }.
% 6.06/6.49 (20190) {G0,W8,D2,L2,V4,M2} { ! alpha1( X, Y, Z, T ), X = Y }.
% 6.06/6.49 (20191) {G0,W8,D2,L2,V4,M2} { ! alpha1( X, Y, Z, T ), Z = T }.
% 6.06/6.49 (20192) {G0,W11,D2,L3,V4,M3} { ! X = Y, ! Z = T, alpha1( X, Y, Z, T ) }.
% 6.06/6.49 (20193) {G0,W9,D5,L1,V3,M1} { remove_slb( insert_slb( X, pair( Y, Z ) ), Y
% 6.06/6.49 ) = X }.
% 6.06/6.49 (20194) {G0,W21,D5,L3,V4,M3} { Y = Z, ! contains_slb( X, Z ), remove_slb(
% 6.06/6.49 insert_slb( X, pair( Y, T ) ), Z ) = insert_slb( remove_slb( X, Z ), pair
% 6.06/6.49 ( Y, T ) ) }.
% 6.06/6.49 (20195) {G0,W9,D5,L1,V3,M1} { lookup_slb( insert_slb( X, pair( Y, Z ) ), Y
% 6.06/6.49 ) = Z }.
% 6.06/6.49 (20196) {G0,W17,D5,L3,V4,M3} { Y = Z, ! contains_slb( X, Z ), lookup_slb(
% 6.06/6.49 insert_slb( X, pair( Y, T ) ), Z ) = lookup_slb( X, Z ) }.
% 6.06/6.49 (20197) {G0,W5,D3,L1,V1,M1} { update_slb( create_slb, X ) = create_slb }.
% 6.06/6.49 (20198) {G0,W18,D5,L2,V4,M2} { ! strictly_less_than( Y, X ), update_slb(
% 6.06/6.49 insert_slb( Z, pair( T, Y ) ), X ) = insert_slb( update_slb( Z, X ), pair
% 6.06/6.49 ( T, X ) ) }.
% 6.06/6.49 (20199) {G0,W18,D5,L2,V4,M2} { ! less_than( X, Y ), update_slb( insert_slb
% 6.06/6.49 ( Z, pair( T, Y ) ), X ) = insert_slb( update_slb( Z, X ), pair( T, Y ) )
% 6.06/6.49 }.
% 6.06/6.49 (20200) {G0,W13,D3,L3,V3,M3} { ! pair_in_list( skol1, X, Y ), ! less_than
% 6.06/6.49 ( Z, Y ), pair_in_list( update_slb( skol1, Z ), X, Y ) }.
% 6.06/6.49 (20201) {G0,W8,D4,L1,V0,M1} { pair_in_list( insert_slb( skol1, pair( skol5
% 6.06/6.49 , skol6 ) ), skol2, skol3 ) }.
% 6.06/6.49 (20202) {G0,W3,D2,L1,V0,M1} { less_than( skol4, skol3 ) }.
% 6.06/6.49 (20203) {G0,W10,D5,L1,V0,M1} { ! pair_in_list( update_slb( insert_slb(
% 6.06/6.49 skol1, pair( skol5, skol6 ) ), skol4 ), skol2, skol3 ) }.
% 6.06/6.49
% 6.06/6.49
% 6.06/6.49 Total Proof:
% 6.06/6.49
% 6.06/6.49 subsumption: (1) {G0,W6,D2,L2,V2,M2} I { less_than( X, Y ), less_than( Y, X
% 6.06/6.49 ) }.
% 6.06/6.49 parent0: (20174) {G0,W6,D2,L2,V2,M2} { less_than( X, Y ), less_than( Y, X
% 6.06/6.49 ) }.
% 6.06/6.49 substitution0:
% 6.06/6.49 X := X
% 6.06/6.49 Y := Y
% 6.06/6.49 end
% 6.06/6.49 permutation0:
% 6.06/6.49 0 ==> 0
% 6.06/6.49 1 ==> 1
% 6.06/6.49 end
% 6.06/6.49
% 6.06/6.49 subsumption: (4) {G0,W6,D2,L2,V2,M2} I { ! strictly_less_than( X, Y ), !
% 6.06/6.49 less_than( Y, X ) }.
% 6.06/6.49 parent0: (20177) {G0,W6,D2,L2,V2,M2} { ! strictly_less_than( X, Y ), !
% 6.06/6.49 less_than( Y, X ) }.
% 6.06/6.49 substitution0:
% 6.06/6.49 X := X
% 6.06/6.49 Y := Y
% 6.06/6.49 end
% 6.06/6.49 permutation0:
% 6.06/6.49 0 ==> 0
% 6.06/6.49 1 ==> 1
% 6.06/6.49 end
% 6.06/6.49
% 6.06/6.49 resolution: (20215) {G1,W9,D2,L3,V2,M3} { less_than( Y, X ),
% 6.06/6.49 strictly_less_than( X, Y ), less_than( Y, X ) }.
% 6.06/6.49 parent0[0]: (20178) {G0,W9,D2,L3,V2,M3} { ! less_than( X, Y ), less_than(
% 6.06/6.49 Y, X ), strictly_less_than( X, Y ) }.
% 6.06/6.49 parent1[0]: (1) {G0,W6,D2,L2,V2,M2} I { less_than( X, Y ), less_than( Y, X
% 6.06/6.49 ) }.
% 6.06/6.49 substitution0:
% 6.06/6.49 X := X
% 6.06/6.49 Y := Y
% 6.06/6.49 end
% 6.06/6.49 substitution1:
% 6.06/6.49 X := X
% 6.06/6.49 Y := Y
% 6.06/6.49 end
% 6.06/6.49
% 6.06/6.49 factor: (20216) {G1,W6,D2,L2,V2,M2} { less_than( X, Y ),
% 6.06/6.49 strictly_less_than( Y, X ) }.
% 6.06/6.49 parent0[0, 2]: (20215) {G1,W9,D2,L3,V2,M3} { less_than( Y, X ),
% 6.06/6.49 strictly_less_than( X, Y ), less_than( Y, X ) }.
% 6.06/6.49 substitution0:
% 6.06/6.49 X := Y
% 6.06/6.49 Y := X
% 6.06/6.49 end
% 6.06/6.49
% 6.06/6.49 subsumption: (5) {G1,W6,D2,L2,V2,M2} I;r(1) { less_than( Y, X ),
% 6.06/6.49 strictly_less_than( X, Y ) }.
% 6.06/6.49 parent0: (20216) {G1,W6,D2,L2,V2,M2} { less_than( X, Y ),
% 6.06/6.49 strictly_less_than( Y, X ) }.
% 6.06/6.49 substitution0:
% 6.06/6.49 X := Y
% 6.06/6.49 Y := X
% 6.06/6.49 end
% 6.06/6.49 permutation0:
% 6.06/6.49 0 ==> 0
% 6.06/6.49 1 ==> 1
% 6.06/6.49 end
% 6.06/6.49
% 6.06/6.49 subsumption: (14) {G0,W17,D4,L3,V5,M3} I { ! pair_in_list( insert_slb( X,
% 6.06/6.49 pair( Y, T ) ), Z, U ), pair_in_list( X, Z, U ), alpha1( Y, Z, T, U ) }.
% 6.06/6.49 parent0: (20187) {G0,W17,D4,L3,V5,M3} { ! pair_in_list( insert_slb( X,
% 6.06/6.49 pair( Y, T ) ), Z, U ), pair_in_list( X, Z, U ), alpha1( Y, Z, T, U ) }.
% 6.06/6.49 substitution0:
% 6.06/6.49 X := X
% 6.06/6.49 Y := Y
% 6.06/6.49 Z := Z
% 6.06/6.49 T := T
% 6.06/6.49 U := U
% 6.06/6.49 end
% 6.06/6.49 permutation0:
% 6.06/6.49 0 ==> 0
% 6.06/6.49 1 ==> 1
% 6.06/6.49 2 ==> 2
% 6.06/6.49 end
% 6.06/6.49
% 6.06/6.49 subsumption: (15) {G0,W12,D4,L2,V5,M2} I { ! pair_in_list( X, Z, U ),
% 6.06/6.49 pair_in_list( insert_slb( X, pair( Y, T ) ), Z, U ) }.
% 6.06/6.49 parent0: (20188) {G0,W12,D4,L2,V5,M2} { ! pair_in_list( X, Z, U ),
% 6.06/6.49 pair_in_list( insert_slb( X, pair( Y, T ) ), Z, U ) }.
% 6.06/6.49 substitution0:
% 6.06/6.49 X := X
% 6.06/6.49 Y := Y
% 6.06/6.49 Z := Z
% 6.06/6.49 T := T
% 6.06/6.49 U := U
% 6.06/6.49 end
% 6.06/6.49 permutation0:
% 6.06/6.49 0 ==> 0
% 6.06/6.49 1 ==> 1
% 6.06/6.49 end
% 6.06/6.49
% 6.06/6.49 subsumption: (16) {G0,W13,D4,L2,V5,M2} I { ! alpha1( Y, Z, T, U ),
% 6.06/6.49 pair_in_list( insert_slb( X, pair( Y, T ) ), Z, U ) }.
% 6.06/6.49 parent0: (20189) {G0,W13,D4,L2,V5,M2} { ! alpha1( Y, Z, T, U ),
% 6.06/6.49 pair_in_list( insert_slb( X, pair( Y, T ) ), Z, U ) }.
% 6.06/6.49 substitution0:
% 6.06/6.49 X := X
% 6.06/6.49 Y := Y
% 6.06/6.49 Z := Z
% 6.06/6.49 T := T
% 6.06/6.49 U := U
% 6.06/6.49 end
% 6.06/6.49 permutation0:
% 6.06/6.49 0 ==> 0
% 6.06/6.49 1 ==> 1
% 6.06/6.49 end
% 6.06/6.49
% 6.06/6.49 subsumption: (17) {G0,W8,D2,L2,V4,M2} I { ! alpha1( X, Y, Z, T ), X = Y }.
% 6.06/6.49 parent0: (20190) {G0,W8,D2,L2,V4,M2} { ! alpha1( X, Y, Z, T ), X = Y }.
% 6.06/6.49 substitution0:
% 6.06/6.49 X := X
% 6.06/6.49 Y := Y
% 6.06/6.49 Z := Z
% 6.06/6.49 T := T
% 6.06/6.49 end
% 6.06/6.49 permutation0:
% 6.06/6.49 0 ==> 0
% 6.06/6.49 1 ==> 1
% 6.06/6.49 end
% 6.06/6.49
% 6.06/6.49 subsumption: (18) {G0,W8,D2,L2,V4,M2} I { ! alpha1( X, Y, Z, T ), Z = T }.
% 6.06/6.49 parent0: (20191) {G0,W8,D2,L2,V4,M2} { ! alpha1( X, Y, Z, T ), Z = T }.
% 6.06/6.49 substitution0:
% 6.06/6.49 X := X
% 6.06/6.49 Y := Y
% 6.06/6.49 Z := Z
% 6.06/6.49 T := T
% 6.06/6.49 end
% 6.06/6.49 permutation0:
% 6.06/6.49 0 ==> 0
% 6.06/6.49 1 ==> 1
% 6.06/6.49 end
% 6.06/6.49
% 6.06/6.49 subsumption: (19) {G0,W11,D2,L3,V4,M3} I { ! X = Y, ! Z = T, alpha1( X, Y,
% 6.06/6.49 Z, T ) }.
% 6.06/6.49 parent0: (20192) {G0,W11,D2,L3,V4,M3} { ! X = Y, ! Z = T, alpha1( X, Y, Z
% 6.06/6.49 , T ) }.
% 6.06/6.49 substitution0:
% 6.06/6.49 X := X
% 6.06/6.49 Y := Y
% 6.06/6.49 Z := Z
% 6.06/6.49 T := T
% 6.06/6.49 end
% 6.06/6.49 permutation0:
% 6.06/6.49 0 ==> 0
% 6.06/6.49 1 ==> 1
% 6.06/6.49 2 ==> 2
% 6.06/6.49 end
% 6.06/6.49
% 6.06/6.49 subsumption: (25) {G0,W18,D5,L2,V4,M2} I { ! strictly_less_than( Y, X ),
% 6.06/6.49 update_slb( insert_slb( Z, pair( T, Y ) ), X ) = insert_slb( update_slb(
% 6.06/6.49 Z, X ), pair( T, X ) ) }.
% 6.06/6.49 parent0: (20198) {G0,W18,D5,L2,V4,M2} { ! strictly_less_than( Y, X ),
% 6.06/6.49 update_slb( insert_slb( Z, pair( T, Y ) ), X ) = insert_slb( update_slb(
% 6.06/6.49 Z, X ), pair( T, X ) ) }.
% 6.06/6.49 substitution0:
% 6.06/6.49 X := X
% 6.06/6.49 Y := Y
% 6.06/6.49 Z := Z
% 6.06/6.49 T := T
% 6.06/6.49 end
% 6.06/6.49 permutation0:
% 6.06/6.49 0 ==> 0
% 6.06/6.49 1 ==> 1
% 6.06/6.49 end
% 6.06/6.49
% 6.06/6.49 subsumption: (26) {G0,W18,D5,L2,V4,M2} I { ! less_than( X, Y ), update_slb
% 6.06/6.49 ( insert_slb( Z, pair( T, Y ) ), X ) ==> insert_slb( update_slb( Z, X ),
% 6.06/6.49 pair( T, Y ) ) }.
% 6.06/6.49 parent0: (20199) {G0,W18,D5,L2,V4,M2} { ! less_than( X, Y ), update_slb(
% 6.06/6.49 insert_slb( Z, pair( T, Y ) ), X ) = insert_slb( update_slb( Z, X ), pair
% 6.06/6.49 ( T, Y ) ) }.
% 6.06/6.49 substitution0:
% 6.06/6.49 X := X
% 6.06/6.49 Y := Y
% 6.06/6.49 Z := Z
% 6.06/6.49 T := T
% 6.06/6.49 end
% 6.06/6.49 permutation0:
% 6.06/6.49 0 ==> 0
% 6.06/6.49 1 ==> 1
% 6.06/6.49 end
% 6.06/6.49
% 6.06/6.49 subsumption: (27) {G0,W13,D3,L3,V3,M3} I { ! pair_in_list( skol1, X, Y ), !
% 6.06/6.49 less_than( Z, Y ), pair_in_list( update_slb( skol1, Z ), X, Y ) }.
% 6.06/6.49 parent0: (20200) {G0,W13,D3,L3,V3,M3} { ! pair_in_list( skol1, X, Y ), !
% 6.06/6.49 less_than( Z, Y ), pair_in_list( update_slb( skol1, Z ), X, Y ) }.
% 6.06/6.49 substitution0:
% 6.06/6.49 X := X
% 6.06/6.49 Y := Y
% 6.06/6.49 Z := Z
% 6.06/6.49 end
% 6.06/6.49 permutation0:
% 6.06/6.49 0 ==> 0
% 6.06/6.49 1 ==> 1
% 6.06/6.49 2 ==> 2
% 6.06/6.49 end
% 6.06/6.49
% 6.06/6.49 subsumption: (28) {G0,W8,D4,L1,V0,M1} I { pair_in_list( insert_slb( skol1,
% 6.06/6.49 pair( skol5, skol6 ) ), skol2, skol3 ) }.
% 6.06/6.49 parent0: (20201) {G0,W8,D4,L1,V0,M1} { pair_in_list( insert_slb( skol1,
% 6.06/6.49 pair( skol5, skol6 ) ), skol2, skol3 ) }.
% 6.06/6.49 substitution0:
% 6.06/6.49 end
% 6.06/6.49 permutation0:
% 6.06/6.49 0 ==> 0
% 6.06/6.49 end
% 6.06/6.49
% 6.06/6.49 subsumption: (29) {G0,W3,D2,L1,V0,M1} I { less_than( skol4, skol3 ) }.
% 6.06/6.49 parent0: (20202) {G0,W3,D2,L1,V0,M1} { less_than( skol4, skol3 ) }.
% 6.06/6.49 substitution0:
% 6.06/6.49 end
% 6.06/6.49 permutation0:
% 6.06/6.49 0 ==> 0
% 6.06/6.49 end
% 6.06/6.49
% 6.06/6.49 subsumption: (30) {G0,W10,D5,L1,V0,M1} I { ! pair_in_list( update_slb(
% 6.06/6.49 insert_slb( skol1, pair( skol5, skol6 ) ), skol4 ), skol2, skol3 ) }.
% 6.06/6.49 parent0: (20203) {G0,W10,D5,L1,V0,M1} { ! pair_in_list( update_slb(
% 6.06/6.49 insert_slb( skol1, pair( skol5, skol6 ) ), skol4 ), skol2, skol3 ) }.
% 6.06/6.49 substitution0:
% 6.06/6.49 end
% 6.06/6.49 permutation0:
% 6.06/6.49 0 ==> 0
% 6.06/6.49 end
% 6.06/6.49
% 6.06/6.49 eqswap: (20396) {G0,W11,D2,L3,V4,M3} { ! Y = X, ! Z = T, alpha1( X, Y, Z,
% 6.06/6.49 T ) }.
% 6.06/6.49 parent0[0]: (19) {G0,W11,D2,L3,V4,M3} I { ! X = Y, ! Z = T, alpha1( X, Y, Z
% 6.06/6.49 , T ) }.
% 6.06/6.49 substitution0:
% 6.06/6.49 X := X
% 6.06/6.49 Y := Y
% 6.06/6.49 Z := Z
% 6.06/6.49 T := T
% 6.06/6.49 end
% 6.06/6.49
% 6.06/6.49 eqrefl: (20400) {G0,W8,D2,L2,V3,M2} { ! X = Y, alpha1( Y, X, Z, Z ) }.
% 6.06/6.49 parent0[1]: (20396) {G0,W11,D2,L3,V4,M3} { ! Y = X, ! Z = T, alpha1( X, Y
% 6.06/6.49 , Z, T ) }.
% 6.06/6.49 substitution0:
% 6.06/6.49 X := Y
% 6.06/6.49 Y := X
% 6.06/6.49 Z := Z
% 6.06/6.49 T := Z
% 6.06/6.49 end
% 6.06/6.49
% 6.06/6.49 eqswap: (20401) {G0,W8,D2,L2,V3,M2} { ! Y = X, alpha1( Y, X, Z, Z ) }.
% 6.06/6.49 parent0[0]: (20400) {G0,W8,D2,L2,V3,M2} { ! X = Y, alpha1( Y, X, Z, Z )
% 6.06/6.49 }.
% 6.06/6.49 substitution0:
% 6.06/6.49 X := X
% 6.06/6.49 Y := Y
% 6.06/6.49 Z := Z
% 6.06/6.49 end
% 6.06/6.49
% 6.06/6.49 subsumption: (34) {G1,W8,D2,L2,V3,M2} Q(19) { ! X = Y, alpha1( X, Y, Z, Z )
% 6.06/6.49 }.
% 6.06/6.49 parent0: (20401) {G0,W8,D2,L2,V3,M2} { ! Y = X, alpha1( Y, X, Z, Z ) }.
% 6.06/6.49 substitution0:
% 6.06/6.49 X := Y
% 6.06/6.49 Y := X
% 6.06/6.49 Z := Z
% 6.06/6.49 end
% 6.06/6.49 permutation0:
% 6.06/6.49 0 ==> 0
% 6.06/6.49 1 ==> 1
% 6.06/6.49 end
% 6.06/6.49
% 6.06/6.49 eqswap: (20403) {G1,W8,D2,L2,V3,M2} { ! Y = X, alpha1( X, Y, Z, Z ) }.
% 165.05/165.41 parent0[0]: (34) {G1,W8,D2,L2,V3,M2} Q(19) { ! X = Y, alpha1( X, Y, Z, Z )
% 165.05/165.41 }.
% 165.05/165.41 substitution0:
% 165.05/165.41 X := X
% 165.05/165.41 Y := Y
% 165.05/165.41 Z := Z
% 165.05/165.41 end
% 165.05/165.41
% 165.05/165.41 eqrefl: (20404) {G0,W5,D2,L1,V2,M1} { alpha1( X, X, Y, Y ) }.
% 165.05/165.41 parent0[0]: (20403) {G1,W8,D2,L2,V3,M2} { ! Y = X, alpha1( X, Y, Z, Z )
% 165.05/165.41 }.
% 165.05/165.41 substitution0:
% 165.05/165.41 X := X
% 165.05/165.41 Y := X
% 165.05/165.41 Z := Y
% 165.05/165.41 end
% 165.05/165.41
% 165.05/165.41 subsumption: (35) {G2,W5,D2,L1,V2,M1} Q(34) { alpha1( X, X, Y, Y ) }.
% 165.05/165.41 parent0: (20404) {G0,W5,D2,L1,V2,M1} { alpha1( X, X, Y, Y ) }.
% 165.05/165.41 substitution0:
% 165.05/165.41 X := X
% 165.05/165.41 Y := Y
% 165.05/165.41 end
% 165.05/165.41 permutation0:
% 165.05/165.41 0 ==> 0
% 165.05/165.41 end
% 165.05/165.41
% 165.05/165.41 resolution: (20405) {G1,W3,D2,L1,V0,M1} { ! strictly_less_than( skol3,
% 165.05/165.41 skol4 ) }.
% 165.05/165.41 parent0[1]: (4) {G0,W6,D2,L2,V2,M2} I { ! strictly_less_than( X, Y ), !
% 165.05/165.41 less_than( Y, X ) }.
% 165.05/165.41 parent1[0]: (29) {G0,W3,D2,L1,V0,M1} I { less_than( skol4, skol3 ) }.
% 165.05/165.41 substitution0:
% 165.05/165.41 X := skol3
% 165.05/165.41 Y := skol4
% 165.05/165.41 end
% 165.05/165.41 substitution1:
% 165.05/165.41 end
% 165.05/165.41
% 165.05/165.41 subsumption: (49) {G1,W3,D2,L1,V0,M1} R(4,29) { ! strictly_less_than( skol3
% 165.05/165.41 , skol4 ) }.
% 165.05/165.41 parent0: (20405) {G1,W3,D2,L1,V0,M1} { ! strictly_less_than( skol3, skol4
% 165.05/165.41 ) }.
% 165.05/165.41 substitution0:
% 165.05/165.41 end
% 165.05/165.41 permutation0:
% 165.05/165.41 0 ==> 0
% 165.05/165.41 end
% 165.05/165.41
% 165.05/165.41 resolution: (20406) {G1,W8,D4,L1,V3,M1} { pair_in_list( insert_slb( Z,
% 165.05/165.41 pair( X, Y ) ), X, Y ) }.
% 165.05/165.41 parent0[0]: (16) {G0,W13,D4,L2,V5,M2} I { ! alpha1( Y, Z, T, U ),
% 165.05/165.41 pair_in_list( insert_slb( X, pair( Y, T ) ), Z, U ) }.
% 165.05/165.41 parent1[0]: (35) {G2,W5,D2,L1,V2,M1} Q(34) { alpha1( X, X, Y, Y ) }.
% 165.05/165.41 substitution0:
% 165.05/165.41 X := Z
% 165.05/165.41 Y := X
% 165.05/165.41 Z := X
% 165.05/165.41 T := Y
% 165.05/165.41 U := Y
% 165.05/165.41 end
% 165.05/165.41 substitution1:
% 165.05/165.41 X := X
% 165.05/165.41 Y := Y
% 165.05/165.41 end
% 165.05/165.41
% 165.05/165.41 subsumption: (289) {G3,W8,D4,L1,V3,M1} R(16,35) { pair_in_list( insert_slb
% 165.05/165.41 ( X, pair( Y, Z ) ), Y, Z ) }.
% 165.05/165.41 parent0: (20406) {G1,W8,D4,L1,V3,M1} { pair_in_list( insert_slb( Z, pair(
% 165.05/165.41 X, Y ) ), X, Y ) }.
% 165.05/165.41 substitution0:
% 165.05/165.41 X := Y
% 165.05/165.41 Y := Z
% 165.05/165.41 Z := X
% 165.05/165.41 end
% 165.05/165.41 permutation0:
% 165.05/165.41 0 ==> 0
% 165.05/165.41 end
% 165.05/165.41
% 165.05/165.41 *** allocated 15000 integers for justifications
% 165.05/165.41 *** allocated 22500 integers for justifications
% 165.05/165.41 *** allocated 33750 integers for justifications
% 165.05/165.41 *** allocated 50625 integers for justifications
% 165.05/165.41 *** allocated 75937 integers for justifications
% 165.05/165.41 *** allocated 113905 integers for justifications
% 165.05/165.41 *** allocated 170857 integers for justifications
% 165.05/165.41 *** allocated 576640 integers for termspace/termends
% 165.05/165.41 *** allocated 256285 integers for justifications
% 165.05/165.41 *** allocated 384427 integers for justifications
% 165.05/165.41 *** allocated 1297440 integers for clauses
% 165.05/165.41 *** allocated 576640 integers for justifications
% 165.05/165.41 *** allocated 864960 integers for termspace/termends
% 165.05/165.41 *** allocated 864960 integers for justifications
% 165.05/165.41 *** allocated 1297440 integers for justifications
% 165.05/165.41 *** allocated 1297440 integers for termspace/termends
% 165.05/165.41 paramod: (32243) {G1,W8,D2,L2,V3,M2} { ! strictly_less_than( X, skol4 ), !
% 165.05/165.41 alpha1( skol3, X, Y, Z ) }.
% 165.05/165.41 parent0[1]: (17) {G0,W8,D2,L2,V4,M2} I { ! alpha1( X, Y, Z, T ), X = Y }.
% 165.05/165.41 parent1[0; 2]: (49) {G1,W3,D2,L1,V0,M1} R(4,29) { ! strictly_less_than(
% 165.05/165.41 skol3, skol4 ) }.
% 165.05/165.41 substitution0:
% 165.05/165.41 X := skol3
% 165.05/165.41 Y := X
% 165.05/165.41 Z := Y
% 165.05/165.41 T := Z
% 165.05/165.41 end
% 165.05/165.41 substitution1:
% 165.05/165.41 end
% 165.05/165.41
% 165.05/165.41 subsumption: (414) {G2,W8,D2,L2,V3,M2} P(17,49) { ! strictly_less_than( X,
% 165.05/165.41 skol4 ), ! alpha1( skol3, X, Y, Z ) }.
% 165.05/165.41 parent0: (32243) {G1,W8,D2,L2,V3,M2} { ! strictly_less_than( X, skol4 ), !
% 165.05/165.41 alpha1( skol3, X, Y, Z ) }.
% 165.05/165.41 substitution0:
% 165.05/165.41 X := X
% 165.05/165.41 Y := Y
% 165.05/165.41 Z := Z
% 165.05/165.41 end
% 165.05/165.41 permutation0:
% 165.05/165.41 0 ==> 0
% 165.05/165.41 1 ==> 1
% 165.05/165.41 end
% 165.05/165.41
% 165.05/165.41 eqswap: (44078) {G0,W11,D2,L3,V4,M3} { ! Y = X, ! Z = T, alpha1( X, Y, Z,
% 165.05/165.41 T ) }.
% 165.05/165.41 parent0[0]: (19) {G0,W11,D2,L3,V4,M3} I { ! X = Y, ! Z = T, alpha1( X, Y, Z
% 165.05/165.41 , T ) }.
% 165.05/165.41 substitution0:
% 165.05/165.41 X := X
% 165.05/165.41 Y := Y
% 165.05/165.41 Z := Z
% 165.05/165.41 T := T
% 165.05/165.41 end
% 165.05/165.41
% 165.05/165.41 resolution: (44081) {G1,W9,D2,L3,V3,M3} { ! strictly_less_than( X, skol4 )
% 165.05/165.41 , ! X = skol3, ! Y = Z }.
% 165.05/165.41 parent0[1]: (414) {G2,W8,D2,L2,V3,M2} P(17,49) { ! strictly_less_than( X,
% 165.05/165.41 skol4 ), ! alpha1( skol3, X, Y, Z ) }.
% 165.05/165.41 parent1[2]: (44078) {G0,W11,D2,L3,V4,M3} { ! Y = X, ! Z = T, alpha1( X, Y
% 165.05/165.41 , Z, T ) }.
% 165.05/165.41 substitution0:
% 165.05/165.41 X := X
% 165.05/165.41 Y := Y
% 165.05/165.41 Z := Z
% 165.05/165.41 end
% 165.05/165.41 substitution1:
% 165.05/165.41 X := skol3
% 165.05/165.41 Y := X
% 165.05/165.41 Z := Y
% 165.05/165.41 T := Z
% 165.05/165.41 end
% 165.05/165.41
% 165.05/165.41 eqswap: (44082) {G1,W9,D2,L3,V3,M3} { ! skol3 = X, ! strictly_less_than( X
% 165.05/165.41 , skol4 ), ! Y = Z }.
% 165.05/165.41 parent0[1]: (44081) {G1,W9,D2,L3,V3,M3} { ! strictly_less_than( X, skol4 )
% 165.05/165.41 , ! X = skol3, ! Y = Z }.
% 165.05/165.41 substitution0:
% 165.05/165.41 X := X
% 165.05/165.41 Y := Y
% 165.05/165.41 Z := Z
% 165.05/165.41 end
% 165.05/165.41
% 165.05/165.41 subsumption: (754) {G3,W9,D2,L3,V3,M3} R(414,19) { ! strictly_less_than( X
% 165.05/165.41 , skol4 ), ! skol3 = X, ! Y = Z }.
% 165.05/165.41 parent0: (44082) {G1,W9,D2,L3,V3,M3} { ! skol3 = X, ! strictly_less_than(
% 165.05/165.41 X, skol4 ), ! Y = Z }.
% 165.05/165.41 substitution0:
% 165.05/165.41 X := X
% 165.05/165.41 Y := skol3
% 165.05/165.41 Z := X
% 165.05/165.41 end
% 165.05/165.41 permutation0:
% 165.05/165.41 0 ==> 1
% 165.05/165.41 1 ==> 0
% 165.05/165.41 2 ==> 1
% 165.05/165.41 end
% 165.05/165.41
% 165.05/165.41 factor: (44086) {G3,W6,D2,L2,V1,M2} { ! strictly_less_than( X, skol4 ), !
% 165.05/165.41 skol3 = X }.
% 165.05/165.41 parent0[1, 2]: (754) {G3,W9,D2,L3,V3,M3} R(414,19) { ! strictly_less_than(
% 165.05/165.41 X, skol4 ), ! skol3 = X, ! Y = Z }.
% 165.05/165.41 substitution0:
% 165.05/165.41 X := X
% 165.05/165.41 Y := skol3
% 165.05/165.41 Z := X
% 165.05/165.41 end
% 165.05/165.41
% 165.05/165.41 subsumption: (763) {G4,W6,D2,L2,V1,M2} F(754) { ! strictly_less_than( X,
% 165.05/165.41 skol4 ), ! skol3 = X }.
% 165.05/165.41 parent0: (44086) {G3,W6,D2,L2,V1,M2} { ! strictly_less_than( X, skol4 ), !
% 165.05/165.41 skol3 = X }.
% 165.05/165.41 substitution0:
% 165.05/165.41 X := X
% 165.05/165.41 end
% 165.05/165.41 permutation0:
% 165.05/165.41 0 ==> 0
% 165.05/165.41 1 ==> 1
% 165.05/165.41 end
% 165.05/165.41
% 165.05/165.41 eqswap: (44088) {G4,W6,D2,L2,V1,M2} { ! X = skol3, ! strictly_less_than( X
% 165.05/165.41 , skol4 ) }.
% 165.05/165.41 parent0[1]: (763) {G4,W6,D2,L2,V1,M2} F(754) { ! strictly_less_than( X,
% 165.05/165.41 skol4 ), ! skol3 = X }.
% 165.05/165.41 substitution0:
% 165.05/165.41 X := X
% 165.05/165.41 end
% 165.05/165.41
% 165.05/165.41 resolution: (44089) {G2,W6,D2,L2,V1,M2} { ! X = skol3, less_than( skol4, X
% 165.05/165.41 ) }.
% 165.05/165.41 parent0[1]: (44088) {G4,W6,D2,L2,V1,M2} { ! X = skol3, !
% 165.05/165.41 strictly_less_than( X, skol4 ) }.
% 165.05/165.41 parent1[1]: (5) {G1,W6,D2,L2,V2,M2} I;r(1) { less_than( Y, X ),
% 165.05/165.41 strictly_less_than( X, Y ) }.
% 165.05/165.41 substitution0:
% 165.05/165.41 X := X
% 165.05/165.41 end
% 165.05/165.41 substitution1:
% 165.05/165.41 X := X
% 165.05/165.41 Y := skol4
% 165.05/165.41 end
% 165.05/165.41
% 165.05/165.41 eqswap: (44090) {G2,W6,D2,L2,V1,M2} { ! skol3 = X, less_than( skol4, X )
% 165.05/165.41 }.
% 165.05/165.41 parent0[0]: (44089) {G2,W6,D2,L2,V1,M2} { ! X = skol3, less_than( skol4, X
% 165.05/165.41 ) }.
% 165.05/165.41 substitution0:
% 165.05/165.41 X := X
% 165.05/165.41 end
% 165.05/165.41
% 165.05/165.41 subsumption: (844) {G5,W6,D2,L2,V1,M2} R(763,5) { ! skol3 = X, less_than(
% 165.05/165.41 skol4, X ) }.
% 165.05/165.41 parent0: (44090) {G2,W6,D2,L2,V1,M2} { ! skol3 = X, less_than( skol4, X )
% 165.05/165.41 }.
% 165.05/165.41 substitution0:
% 165.05/165.41 X := X
% 165.05/165.41 end
% 165.05/165.41 permutation0:
% 165.05/165.41 0 ==> 0
% 165.05/165.41 1 ==> 1
% 165.05/165.41 end
% 165.05/165.41
% 165.05/165.41 eqswap: (44091) {G0,W18,D5,L2,V4,M2} { insert_slb( update_slb( X, T ),
% 165.05/165.41 pair( Y, Z ) ) ==> update_slb( insert_slb( X, pair( Y, Z ) ), T ), !
% 165.05/165.41 less_than( T, Z ) }.
% 165.05/165.41 parent0[1]: (26) {G0,W18,D5,L2,V4,M2} I { ! less_than( X, Y ), update_slb(
% 165.05/165.41 insert_slb( Z, pair( T, Y ) ), X ) ==> insert_slb( update_slb( Z, X ),
% 165.05/165.41 pair( T, Y ) ) }.
% 165.05/165.41 substitution0:
% 165.05/165.41 X := T
% 165.05/165.41 Y := Z
% 165.05/165.41 Z := X
% 165.05/165.41 T := Y
% 165.05/165.41 end
% 165.05/165.41
% 165.05/165.41 resolution: (44092) {G1,W15,D5,L1,V2,M1} { insert_slb( update_slb( X,
% 165.05/165.41 skol4 ), pair( Y, skol3 ) ) ==> update_slb( insert_slb( X, pair( Y, skol3
% 165.05/165.41 ) ), skol4 ) }.
% 165.05/165.41 parent0[1]: (44091) {G0,W18,D5,L2,V4,M2} { insert_slb( update_slb( X, T )
% 165.05/165.41 , pair( Y, Z ) ) ==> update_slb( insert_slb( X, pair( Y, Z ) ), T ), !
% 165.05/165.41 less_than( T, Z ) }.
% 165.05/165.41 parent1[0]: (29) {G0,W3,D2,L1,V0,M1} I { less_than( skol4, skol3 ) }.
% 165.05/165.41 substitution0:
% 165.05/165.41 X := X
% 165.05/165.41 Y := Y
% 165.05/165.41 Z := skol3
% 165.05/165.41 T := skol4
% 165.05/165.41 end
% 165.05/165.41 substitution1:
% 165.05/165.41 end
% 165.05/165.41
% 165.05/165.41 eqswap: (44093) {G1,W15,D5,L1,V2,M1} { update_slb( insert_slb( X, pair( Y
% 165.05/165.41 , skol3 ) ), skol4 ) ==> insert_slb( update_slb( X, skol4 ), pair( Y,
% 165.05/165.41 skol3 ) ) }.
% 165.05/165.41 parent0[0]: (44092) {G1,W15,D5,L1,V2,M1} { insert_slb( update_slb( X,
% 165.05/165.41 skol4 ), pair( Y, skol3 ) ) ==> update_slb( insert_slb( X, pair( Y, skol3
% 165.05/165.41 ) ), skol4 ) }.
% 165.05/165.41 substitution0:
% 165.05/165.41 X := X
% 165.05/165.41 Y := Y
% 165.05/165.41 end
% 165.05/165.41
% 165.05/165.41 subsumption: (881) {G1,W15,D5,L1,V2,M1} R(26,29) { update_slb( insert_slb(
% 165.05/165.41 X, pair( Y, skol3 ) ), skol4 ) ==> insert_slb( update_slb( X, skol4 ),
% 165.05/165.41 pair( Y, skol3 ) ) }.
% 165.05/165.41 parent0: (44093) {G1,W15,D5,L1,V2,M1} { update_slb( insert_slb( X, pair( Y
% 165.05/165.41 , skol3 ) ), skol4 ) ==> insert_slb( update_slb( X, skol4 ), pair( Y,
% 165.05/165.41 skol3 ) ) }.
% 165.05/165.41 substitution0:
% 165.05/165.41 X := X
% 165.05/165.41 Y := Y
% 165.05/165.41 end
% 165.05/165.41 permutation0:
% 165.05/165.41 0 ==> 0
% 165.05/165.41 end
% 165.05/165.41
% 165.05/165.41 resolution: (44094) {G1,W9,D2,L2,V0,M2} { pair_in_list( skol1, skol2,
% 165.05/165.41 skol3 ), alpha1( skol5, skol2, skol6, skol3 ) }.
% 165.05/165.41 parent0[0]: (14) {G0,W17,D4,L3,V5,M3} I { ! pair_in_list( insert_slb( X,
% 165.05/165.41 pair( Y, T ) ), Z, U ), pair_in_list( X, Z, U ), alpha1( Y, Z, T, U ) }.
% 165.05/165.41 parent1[0]: (28) {G0,W8,D4,L1,V0,M1} I { pair_in_list( insert_slb( skol1,
% 165.05/165.41 pair( skol5, skol6 ) ), skol2, skol3 ) }.
% 165.05/165.41 substitution0:
% 165.05/165.41 X := skol1
% 165.05/165.41 Y := skol5
% 165.05/165.41 Z := skol2
% 165.05/165.41 T := skol6
% 165.05/165.41 U := skol3
% 165.05/165.41 end
% 165.05/165.41 substitution1:
% 165.05/165.41 end
% 165.05/165.41
% 165.05/165.41 subsumption: (1022) {G1,W9,D2,L2,V0,M2} R(28,14) { pair_in_list( skol1,
% 165.05/165.41 skol2, skol3 ), alpha1( skol5, skol2, skol6, skol3 ) }.
% 165.05/165.41 parent0: (44094) {G1,W9,D2,L2,V0,M2} { pair_in_list( skol1, skol2, skol3 )
% 165.05/165.41 , alpha1( skol5, skol2, skol6, skol3 ) }.
% 165.05/165.41 substitution0:
% 165.05/165.41 end
% 165.05/165.41 permutation0:
% 165.05/165.41 0 ==> 0
% 165.05/165.41 1 ==> 1
% 165.05/165.41 end
% 165.05/165.41
% 165.05/165.41 paramod: (44096) {G1,W13,D4,L2,V0,M2} { ! pair_in_list( insert_slb(
% 165.05/165.41 update_slb( skol1, skol4 ), pair( skol5, skol6 ) ), skol2, skol3 ), !
% 165.05/165.41 less_than( skol4, skol6 ) }.
% 165.05/165.41 parent0[1]: (26) {G0,W18,D5,L2,V4,M2} I { ! less_than( X, Y ), update_slb(
% 165.05/165.41 insert_slb( Z, pair( T, Y ) ), X ) ==> insert_slb( update_slb( Z, X ),
% 165.05/165.41 pair( T, Y ) ) }.
% 165.05/165.41 parent1[0; 2]: (30) {G0,W10,D5,L1,V0,M1} I { ! pair_in_list( update_slb(
% 165.05/165.41 insert_slb( skol1, pair( skol5, skol6 ) ), skol4 ), skol2, skol3 ) }.
% 165.05/165.41 substitution0:
% 165.05/165.41 X := skol4
% 165.05/165.41 Y := skol6
% 165.05/165.41 Z := skol1
% 165.05/165.41 T := skol5
% 165.05/165.41 end
% 165.05/165.41 substitution1:
% 165.05/165.41 end
% 165.05/165.41
% 165.05/165.41 subsumption: (1121) {G1,W13,D4,L2,V0,M2} P(26,30) { ! pair_in_list(
% 165.05/165.41 insert_slb( update_slb( skol1, skol4 ), pair( skol5, skol6 ) ), skol2,
% 165.05/165.41 skol3 ), ! less_than( skol4, skol6 ) }.
% 165.05/165.41 parent0: (44096) {G1,W13,D4,L2,V0,M2} { ! pair_in_list( insert_slb(
% 165.05/165.41 update_slb( skol1, skol4 ), pair( skol5, skol6 ) ), skol2, skol3 ), !
% 165.05/165.41 less_than( skol4, skol6 ) }.
% 165.05/165.41 substitution0:
% 165.05/165.41 end
% 165.05/165.41 permutation0:
% 165.05/165.41 0 ==> 0
% 165.05/165.41 1 ==> 1
% 165.05/165.41 end
% 165.05/165.41
% 165.05/165.41 paramod: (44098) {G1,W13,D4,L2,V0,M2} { ! pair_in_list( insert_slb(
% 165.05/165.41 update_slb( skol1, skol4 ), pair( skol5, skol4 ) ), skol2, skol3 ), !
% 165.05/165.41 strictly_less_than( skol6, skol4 ) }.
% 165.05/165.41 parent0[1]: (25) {G0,W18,D5,L2,V4,M2} I { ! strictly_less_than( Y, X ),
% 165.05/165.41 update_slb( insert_slb( Z, pair( T, Y ) ), X ) = insert_slb( update_slb(
% 165.05/165.41 Z, X ), pair( T, X ) ) }.
% 165.05/165.41 parent1[0; 2]: (30) {G0,W10,D5,L1,V0,M1} I { ! pair_in_list( update_slb(
% 165.05/165.41 insert_slb( skol1, pair( skol5, skol6 ) ), skol4 ), skol2, skol3 ) }.
% 165.05/165.41 substitution0:
% 165.05/165.41 X := skol4
% 165.05/165.41 Y := skol6
% 165.05/165.41 Z := skol1
% 165.05/165.41 T := skol5
% 165.05/165.41 end
% 165.05/165.41 substitution1:
% 165.05/165.41 end
% 165.05/165.41
% 165.05/165.41 subsumption: (1122) {G1,W13,D4,L2,V0,M2} P(25,30) { ! pair_in_list(
% 165.05/165.41 insert_slb( update_slb( skol1, skol4 ), pair( skol5, skol4 ) ), skol2,
% 165.05/165.41 skol3 ), ! strictly_less_than( skol6, skol4 ) }.
% 165.05/165.41 parent0: (44098) {G1,W13,D4,L2,V0,M2} { ! pair_in_list( insert_slb(
% 165.05/165.41 update_slb( skol1, skol4 ), pair( skol5, skol4 ) ), skol2, skol3 ), !
% 165.05/165.41 strictly_less_than( skol6, skol4 ) }.
% 165.05/165.41 substitution0:
% 165.05/165.41 end
% 165.05/165.41 permutation0:
% 165.05/165.41 0 ==> 0
% 165.05/165.41 1 ==> 1
% 165.05/165.41 end
% 165.05/165.41
% 165.05/165.41 eqswap: (44099) {G0,W8,D2,L2,V4,M2} { Y = X, ! alpha1( X, Y, Z, T ) }.
% 165.05/165.41 parent0[1]: (17) {G0,W8,D2,L2,V4,M2} I { ! alpha1( X, Y, Z, T ), X = Y }.
% 165.05/165.41 substitution0:
% 165.05/165.41 X := X
% 165.05/165.41 Y := Y
% 165.05/165.41 Z := Z
% 165.05/165.41 T := T
% 165.05/165.41 end
% 165.05/165.41
% 165.05/165.41 resolution: (44100) {G1,W7,D2,L2,V0,M2} { skol2 = skol5, pair_in_list(
% 165.05/165.41 skol1, skol2, skol3 ) }.
% 165.05/165.41 parent0[1]: (44099) {G0,W8,D2,L2,V4,M2} { Y = X, ! alpha1( X, Y, Z, T )
% 165.05/165.41 }.
% 165.05/165.41 parent1[1]: (1022) {G1,W9,D2,L2,V0,M2} R(28,14) { pair_in_list( skol1,
% 165.05/165.41 skol2, skol3 ), alpha1( skol5, skol2, skol6, skol3 ) }.
% 165.05/165.41 substitution0:
% 165.05/165.41 X := skol5
% 165.05/165.41 Y := skol2
% 165.05/165.41 Z := skol6
% 165.05/165.41 T := skol3
% 165.05/165.41 end
% 165.05/165.41 substitution1:
% 165.05/165.41 end
% 165.05/165.41
% 165.05/165.41 eqswap: (44101) {G1,W7,D2,L2,V0,M2} { skol5 = skol2, pair_in_list( skol1,
% 165.05/165.41 skol2, skol3 ) }.
% 165.05/165.41 parent0[0]: (44100) {G1,W7,D2,L2,V0,M2} { skol2 = skol5, pair_in_list(
% 165.05/165.41 skol1, skol2, skol3 ) }.
% 165.05/165.41 substitution0:
% 165.05/165.41 end
% 165.05/165.41
% 165.05/165.41 subsumption: (3238) {G2,W7,D2,L2,V0,M2} R(1022,17) { pair_in_list( skol1,
% 165.05/165.41 skol2, skol3 ), skol5 ==> skol2 }.
% 165.05/165.41 parent0: (44101) {G1,W7,D2,L2,V0,M2} { skol5 = skol2, pair_in_list( skol1
% 165.05/165.41 , skol2, skol3 ) }.
% 165.05/165.41 substitution0:
% 165.05/165.41 end
% 165.05/165.41 permutation0:
% 165.05/165.41 0 ==> 1
% 165.05/165.41 1 ==> 0
% 165.05/165.41 end
% 165.05/165.41
% 165.05/165.41 eqswap: (44102) {G0,W8,D2,L2,V4,M2} { Y = X, ! alpha1( Z, T, X, Y ) }.
% 165.05/165.41 parent0[1]: (18) {G0,W8,D2,L2,V4,M2} I { ! alpha1( X, Y, Z, T ), Z = T }.
% 165.05/165.41 substitution0:
% 165.05/165.41 X := Z
% 165.05/165.41 Y := T
% 165.05/165.41 Z := X
% 165.05/165.41 T := Y
% 165.05/165.41 end
% 165.05/165.41
% 165.05/165.41 resolution: (44103) {G1,W7,D2,L2,V0,M2} { skol3 = skol6, pair_in_list(
% 165.05/165.41 skol1, skol2, skol3 ) }.
% 165.05/165.41 parent0[1]: (44102) {G0,W8,D2,L2,V4,M2} { Y = X, ! alpha1( Z, T, X, Y )
% 165.05/165.41 }.
% 165.05/165.41 parent1[1]: (1022) {G1,W9,D2,L2,V0,M2} R(28,14) { pair_in_list( skol1,
% 165.05/165.41 skol2, skol3 ), alpha1( skol5, skol2, skol6, skol3 ) }.
% 165.05/165.41 substitution0:
% 165.05/165.41 X := skol6
% 165.05/165.41 Y := skol3
% 165.05/165.41 Z := skol5
% 165.05/165.41 T := skol2
% 165.05/165.41 end
% 165.05/165.41 substitution1:
% 165.05/165.41 end
% 165.05/165.41
% 165.05/165.41 eqswap: (44104) {G1,W7,D2,L2,V0,M2} { skol6 = skol3, pair_in_list( skol1,
% 165.05/165.41 skol2, skol3 ) }.
% 165.05/165.41 parent0[0]: (44103) {G1,W7,D2,L2,V0,M2} { skol3 = skol6, pair_in_list(
% 165.05/165.41 skol1, skol2, skol3 ) }.
% 165.05/165.41 substitution0:
% 165.05/165.41 end
% 165.05/165.41
% 165.05/165.41 subsumption: (3241) {G2,W7,D2,L2,V0,M2} R(1022,18) { pair_in_list( skol1,
% 165.05/165.41 skol2, skol3 ), skol6 ==> skol3 }.
% 165.05/165.41 parent0: (44104) {G1,W7,D2,L2,V0,M2} { skol6 = skol3, pair_in_list( skol1
% 165.05/165.41 , skol2, skol3 ) }.
% 165.05/165.41 substitution0:
% 165.05/165.41 end
% 165.05/165.41 permutation0:
% 165.05/165.41 0 ==> 1
% 165.05/165.41 1 ==> 0
% 165.05/165.41 end
% 165.05/165.41
% 165.05/165.41 paramod: (44108) {G1,W14,D5,L2,V0,M2} { ! pair_in_list( update_slb(
% 165.05/165.41 insert_slb( skol1, pair( skol2, skol6 ) ), skol4 ), skol2, skol3 ),
% 165.05/165.41 pair_in_list( skol1, skol2, skol3 ) }.
% 165.05/165.41 parent0[1]: (3238) {G2,W7,D2,L2,V0,M2} R(1022,17) { pair_in_list( skol1,
% 165.05/165.41 skol2, skol3 ), skol5 ==> skol2 }.
% 165.05/165.41 parent1[0; 6]: (30) {G0,W10,D5,L1,V0,M1} I { ! pair_in_list( update_slb(
% 165.05/165.41 insert_slb( skol1, pair( skol5, skol6 ) ), skol4 ), skol2, skol3 ) }.
% 165.05/165.41 substitution0:
% 165.05/165.41 end
% 165.05/165.41 substitution1:
% 165.05/165.41 end
% 165.05/165.41
% 165.05/165.41 paramod: (44109) {G2,W18,D5,L3,V0,M3} { ! pair_in_list( update_slb(
% 165.05/165.41 insert_slb( skol1, pair( skol2, skol3 ) ), skol4 ), skol2, skol3 ),
% 165.05/165.41 pair_in_list( skol1, skol2, skol3 ), pair_in_list( skol1, skol2, skol3 )
% 165.05/165.41 }.
% 165.05/165.41 parent0[1]: (3241) {G2,W7,D2,L2,V0,M2} R(1022,18) { pair_in_list( skol1,
% 165.05/165.41 skol2, skol3 ), skol6 ==> skol3 }.
% 165.05/165.41 parent1[0; 7]: (44108) {G1,W14,D5,L2,V0,M2} { ! pair_in_list( update_slb(
% 165.05/165.41 insert_slb( skol1, pair( skol2, skol6 ) ), skol4 ), skol2, skol3 ),
% 165.05/165.41 pair_in_list( skol1, skol2, skol3 ) }.
% 165.05/165.41 substitution0:
% 165.05/165.41 end
% 165.05/165.41 substitution1:
% 165.05/165.41 end
% 165.05/165.41
% 165.05/165.41 factor: (44110) {G2,W14,D5,L2,V0,M2} { ! pair_in_list( update_slb(
% 165.05/165.41 insert_slb( skol1, pair( skol2, skol3 ) ), skol4 ), skol2, skol3 ),
% 165.05/165.41 pair_in_list( skol1, skol2, skol3 ) }.
% 165.05/165.41 parent0[1, 2]: (44109) {G2,W18,D5,L3,V0,M3} { ! pair_in_list( update_slb(
% 165.05/165.41 insert_slb( skol1, pair( skol2, skol3 ) ), skol4 ), skol2, skol3 ),
% 165.05/165.41 pair_in_list( skol1, skol2, skol3 ), pair_in_list( skol1, skol2, skol3 )
% 165.05/165.41 }.
% 165.05/165.41 substitution0:
% 165.05/165.41 end
% 165.05/165.41
% 165.05/165.41 paramod: (44111) {G2,W14,D4,L2,V0,M2} { ! pair_in_list( insert_slb(
% 165.05/165.41 update_slb( skol1, skol4 ), pair( skol2, skol3 ) ), skol2, skol3 ),
% 165.05/165.41 pair_in_list( skol1, skol2, skol3 ) }.
% 165.05/165.41 parent0[0]: (881) {G1,W15,D5,L1,V2,M1} R(26,29) { update_slb( insert_slb( X
% 165.05/165.41 , pair( Y, skol3 ) ), skol4 ) ==> insert_slb( update_slb( X, skol4 ),
% 165.05/165.41 pair( Y, skol3 ) ) }.
% 165.05/165.41 parent1[0; 2]: (44110) {G2,W14,D5,L2,V0,M2} { ! pair_in_list( update_slb(
% 165.05/165.41 insert_slb( skol1, pair( skol2, skol3 ) ), skol4 ), skol2, skol3 ),
% 165.05/165.41 pair_in_list( skol1, skol2, skol3 ) }.
% 165.05/165.41 substitution0:
% 165.05/165.41 X := skol1
% 165.05/165.41 Y := skol2
% 165.05/165.41 end
% 165.05/165.41 substitution1:
% 165.05/165.41 end
% 165.05/165.41
% 165.05/165.41 resolution: (44112) {G3,W4,D2,L1,V0,M1} { pair_in_list( skol1, skol2,
% 165.05/165.41 skol3 ) }.
% 165.05/165.41 parent0[0]: (44111) {G2,W14,D4,L2,V0,M2} { ! pair_in_list( insert_slb(
% 165.05/165.41 update_slb( skol1, skol4 ), pair( skol2, skol3 ) ), skol2, skol3 ),
% 165.05/165.41 pair_in_list( skol1, skol2, skol3 ) }.
% 165.05/165.41 parent1[0]: (289) {G3,W8,D4,L1,V3,M1} R(16,35) { pair_in_list( insert_slb(
% 165.05/165.41 X, pair( Y, Z ) ), Y, Z ) }.
% 165.05/165.41 substitution0:
% 165.05/165.41 end
% 165.05/165.41 substitution1:
% 165.05/165.41 X := update_slb( skol1, skol4 )
% 165.05/165.41 Y := skol2
% 165.05/165.41 Z := skol3
% 165.05/165.41 end
% 165.05/165.41
% 165.05/165.41 subsumption: (3272) {G4,W4,D2,L1,V0,M1} P(3238,30);d(3241);d(881);r(289) {
% 165.05/165.41 pair_in_list( skol1, skol2, skol3 ) }.
% 165.05/165.41 parent0: (44112) {G3,W4,D2,L1,V0,M1} { pair_in_list( skol1, skol2, skol3 )
% 165.05/165.41 }.
% 165.05/165.41 substitution0:
% 165.05/165.41 end
% 165.05/165.41 permutation0:
% 165.05/165.41 0 ==> 0
% 165.05/165.41 end
% 165.05/165.41
% 165.05/165.41 resolution: (44113) {G1,W9,D3,L2,V1,M2} { ! less_than( X, skol3 ),
% 165.05/165.41 pair_in_list( update_slb( skol1, X ), skol2, skol3 ) }.
% 165.05/165.41 parent0[0]: (27) {G0,W13,D3,L3,V3,M3} I { ! pair_in_list( skol1, X, Y ), !
% 165.05/165.41 less_than( Z, Y ), pair_in_list( update_slb( skol1, Z ), X, Y ) }.
% 165.05/165.41 parent1[0]: (3272) {G4,W4,D2,L1,V0,M1} P(3238,30);d(3241);d(881);r(289) {
% 165.05/165.41 pair_in_list( skol1, skol2, skol3 ) }.
% 165.05/165.41 substitution0:
% 165.05/165.41 X := skol2
% 165.05/165.41 Y := skol3
% 165.05/165.41 Z := X
% 165.05/165.41 end
% 165.05/165.41 substitution1:
% 165.05/165.41 end
% 165.05/165.41
% 165.05/165.41 subsumption: (3290) {G5,W9,D3,L2,V1,M2} R(3272,27) { ! less_than( X, skol3
% 165.05/165.41 ), pair_in_list( update_slb( skol1, X ), skol2, skol3 ) }.
% 165.05/165.41 parent0: (44113) {G1,W9,D3,L2,V1,M2} { ! less_than( X, skol3 ),
% 165.05/165.41 pair_in_list( update_slb( skol1, X ), skol2, skol3 ) }.
% 165.05/165.41 substitution0:
% 165.05/165.41 X := X
% 165.05/165.41 end
% 165.05/165.41 permutation0:
% 165.05/165.41 0 ==> 0
% 165.05/165.41 1 ==> 1
% 165.05/165.41 end
% 165.05/165.41
% 165.05/165.41 eqswap: (44114) {G5,W6,D2,L2,V1,M2} { ! X = skol3, less_than( skol4, X )
% 165.05/165.41 }.
% 165.05/165.41 parent0[0]: (844) {G5,W6,D2,L2,V1,M2} R(763,5) { ! skol3 = X, less_than(
% 165.05/165.41 skol4, X ) }.
% 165.05/165.41 substitution0:
% 165.05/165.41 X := X
% 165.05/165.41 end
% 165.05/165.41
% 165.05/165.41 resolution: (44115) {G6,W9,D3,L2,V0,M2} { pair_in_list( update_slb( skol1
% 165.05/165.41 , skol4 ), skol2, skol3 ), ! skol3 = skol3 }.
% 165.05/165.41 parent0[0]: (3290) {G5,W9,D3,L2,V1,M2} R(3272,27) { ! less_than( X, skol3 )
% 165.05/165.41 , pair_in_list( update_slb( skol1, X ), skol2, skol3 ) }.
% 165.05/165.41 parent1[1]: (44114) {G5,W6,D2,L2,V1,M2} { ! X = skol3, less_than( skol4, X
% 165.05/165.41 ) }.
% 165.05/165.41 substitution0:
% 165.05/165.41 X := skol4
% 165.05/165.41 end
% 165.05/165.41 substitution1:
% 165.05/165.41 X := skol3
% 165.05/165.41 end
% 165.05/165.41
% 165.05/165.41 eqrefl: (44116) {G0,W6,D3,L1,V0,M1} { pair_in_list( update_slb( skol1,
% 165.05/165.41 skol4 ), skol2, skol3 ) }.
% 165.05/165.41 parent0[1]: (44115) {G6,W9,D3,L2,V0,M2} { pair_in_list( update_slb( skol1
% 165.05/165.41 , skol4 ), skol2, skol3 ), ! skol3 = skol3 }.
% 165.05/165.41 substitution0:
% 165.05/165.41 end
% 165.05/165.41
% 165.05/165.41 subsumption: (13634) {G6,W6,D3,L1,V0,M1} R(3290,844);q { pair_in_list(
% 165.05/165.41 update_slb( skol1, skol4 ), skol2, skol3 ) }.
% 165.05/165.41 parent0: (44116) {G0,W6,D3,L1,V0,M1} { pair_in_list( update_slb( skol1,
% 165.05/165.41 skol4 ), skol2, skol3 ) }.
% 165.05/165.41 substitution0:
% 165.05/165.41 end
% 165.05/165.41 permutation0:
% 165.05/165.41 0 ==> 0
% 165.05/165.41 end
% 165.05/165.41
% 165.05/165.41 resolution: (44117) {G1,W10,D4,L1,V2,M1} { pair_in_list( insert_slb(
% 165.05/165.41 update_slb( skol1, skol4 ), pair( X, Y ) ), skol2, skol3 ) }.
% 165.05/165.41 parent0[0]: (15) {G0,W12,D4,L2,V5,M2} I { ! pair_in_list( X, Z, U ),
% 165.05/165.41 pair_in_list( insert_slb( X, pair( Y, T ) ), Z, U ) }.
% 165.05/165.41 parent1[0]: (13634) {G6,W6,D3,L1,V0,M1} R(3290,844);q { pair_in_list(
% 165.05/165.41 update_slb( skol1, skol4 ), skol2, skol3 ) }.
% 165.05/165.41 substitution0:
% 165.05/165.41 X := update_slb( skol1, skol4 )
% 165.05/165.41 Y := X
% 165.05/165.41 Z := skol2
% 165.05/165.41 T := Y
% 165.05/165.41 U := skol3
% 165.05/165.41 end
% 165.05/165.41 substitution1:
% 165.05/165.41 end
% 165.05/165.41
% 165.05/165.41 subsumption: (13670) {G7,W10,D4,L1,V2,M1} R(13634,15) { pair_in_list(
% 165.05/165.41 insert_slb( update_slb( skol1, skol4 ), pair( X, Y ) ), skol2, skol3 )
% 165.05/165.41 }.
% 165.05/165.41 parent0: (44117) {G1,W10,D4,L1,V2,M1} { pair_in_list( insert_slb(
% 165.05/165.41 update_slb( skol1, skol4 ), pair( X, Y ) ), skol2, skol3 ) }.
% 165.05/165.41 substitution0:
% 165.05/165.41 X := X
% 165.05/165.41 Y := Y
% 165.05/165.41 end
% 165.05/165.41 permutation0:
% 165.05/165.41 0 ==> 0
% 165.05/165.41 end
% 165.05/165.41
% 165.05/165.41 resolution: (44118) {G2,W3,D2,L1,V0,M1} { ! less_than( skol4, skol6 ) }.
% 165.05/165.41 parent0[0]: (1121) {G1,W13,D4,L2,V0,M2} P(26,30) { ! pair_in_list(
% 165.05/165.41 insert_slb( update_slb( skol1, skol4 ), pair( skol5, skol6 ) ), skol2,
% 165.05/165.41 skol3 ), ! less_than( skol4, skol6 ) }.
% 165.05/165.41 parent1[0]: (13670) {G7,W10,D4,L1,V2,M1} R(13634,15) { pair_in_list(
% 165.05/165.41 insert_slb( update_slb( skol1, skol4 ), pair( X, Y ) ), skol2, skol3 )
% 165.05/165.41 }.
% 165.05/165.41 substitution0:
% 165.05/165.41 end
% 165.05/165.41 substitution1:
% 165.05/165.41 X := skol5
% 165.05/165.41 Y := skol6
% 165.05/165.41 end
% 165.05/165.41
% 165.05/165.41 subsumption: (20027) {G8,W3,D2,L1,V0,M1} S(1121);r(13670) { ! less_than(
% 165.05/165.41 skol4, skol6 ) }.
% 165.05/165.41 parent0: (44118) {G2,W3,D2,L1,V0,M1} { ! less_than( skol4, skol6 ) }.
% 165.05/165.41 substitution0:
% 165.05/165.41 end
% 165.05/165.41 permutation0:
% 165.05/165.41 0 ==> 0
% 165.05/165.41 end
% 165.05/165.41
% 165.05/165.41 resolution: (44119) {G2,W3,D2,L1,V0,M1} { ! strictly_less_than( skol6,
% 165.05/165.41 skol4 ) }.
% 165.05/165.41 parent0[0]: (1122) {G1,W13,D4,L2,V0,M2} P(25,30) { ! pair_in_list(
% 165.05/165.41 insert_slb( update_slb( skol1, skol4 ), pair( skol5, skol4 ) ), skol2,
% 165.05/165.41 skol3 ), ! strictly_less_than( skol6, skol4 ) }.
% 165.05/165.41 parent1[0]: (13670) {G7,W10,D4,L1,V2,M1} R(13634,15) { pair_in_list(
% 165.05/165.41 insert_slb( update_slb( skol1, skol4 ), pair( X, Y ) ), skol2, skol3 )
% 165.05/165.41 }.
% 165.05/165.41 substitution0:
% 165.05/165.41 end
% 165.05/165.41 substitution1:
% 165.05/165.41 X := skol5
% 165.05/165.41 Y := skol4
% 165.05/165.41 end
% 165.05/165.41
% 165.05/165.41 subsumption: (20028) {G8,W3,D2,L1,V0,M1} S(1122);r(13670) { !
% 165.05/165.41 strictly_less_than( skol6, skol4 ) }.
% 165.05/165.41 parent0: (44119) {G2,W3,D2,L1,V0,M1} { ! strictly_less_than( skol6, skol4
% 165.05/165.41 ) }.
% 165.05/165.41 substitution0:
% 165.05/165.41 end
% 165.05/165.41 permutation0:
% 165.05/165.41 0 ==> 0
% 165.05/165.41 end
% 165.05/165.41
% 165.05/165.41 resolution: (44120) {G2,W3,D2,L1,V0,M1} { strictly_less_than( skol6, skol4
% 165.05/165.41 ) }.
% 165.05/165.41 parent0[0]: (20027) {G8,W3,D2,L1,V0,M1} S(1121);r(13670) { ! less_than(
% 165.05/165.41 skol4, skol6 ) }.
% 165.05/165.41 parent1[0]: (5) {G1,W6,D2,L2,V2,M2} I;r(1) { less_than( Y, X ),
% 165.05/165.41 strictly_less_than( X, Y ) }.
% 165.05/165.41 substitution0:
% 165.05/165.41 end
% 165.05/165.41 substitution1:
% 165.05/165.41 X := skol6
% 165.05/165.41 Y := skol4
% 165.05/165.41 end
% 165.05/165.41
% 165.05/165.41 resolution: (44121) {G3,W0,D0,L0,V0,M0} { }.
% 165.05/165.41 parent0[0]: (20028) {G8,W3,D2,L1,V0,M1} S(1122);r(13670) { !
% 165.05/165.41 strictly_less_than( skol6, skol4 ) }.
% 165.05/165.41 parent1[0]: (44120) {G2,W3,D2,L1,V0,M1} { strictly_less_than( skol6, skol4
% 165.05/165.41 ) }.
% 165.05/165.41 substitution0:
% 165.05/165.41 end
% 165.05/165.41 substitution1:
% 165.05/165.41 end
% 165.05/165.41
% 165.05/165.41 subsumption: (20171) {G9,W0,D0,L0,V0,M0} R(20027,5);r(20028) { }.
% 165.05/165.41 parent0: (44121) {G3,W0,D0,L0,V0,M0} { }.
% 165.05/165.41 substitution0:
% 165.05/165.41 end
% 165.05/165.41 permutation0:
% 165.05/165.42 end
% 165.05/165.42
% 165.05/165.42 Proof check complete!
% 165.05/165.42
% 165.05/165.42 Memory use:
% 165.05/165.42
% 165.05/165.42 space for terms: 313690
% 165.05/165.42 space for clauses: 775368
% 165.05/165.42
% 165.05/165.42
% 165.05/165.42 clauses generated: 299015
% 165.05/165.42 clauses kept: 20172
% 165.05/165.42 clauses selected: 1531
% 165.05/165.42 clauses deleted: 727
% 165.05/165.42 clauses inuse deleted: 4
% 165.05/165.42
% 165.05/165.42 subsentry: 192406869
% 165.05/165.42 literals s-matched: 76387278
% 165.05/165.42 literals matched: 59664214
% 165.05/165.42 full subsumption: 58574283
% 165.05/165.42
% 165.05/165.42 checksum: 802902876
% 165.05/165.42
% 165.05/165.42
% 165.05/165.42 Bliksem ended
%------------------------------------------------------------------------------