TSTP Solution File: ALG029+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG029+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n019.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 12:09:10 EDT 2022
% Result : Theorem 9.34s 9.78s
% Output : Refutation 9.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG029+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.33 % Computer : n019.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Thu Jun 9 03:29:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 9.34/9.77 *** allocated 10000 integers for termspace/termends
% 9.34/9.77 *** allocated 10000 integers for clauses
% 9.34/9.77 *** allocated 10000 integers for justifications
% 9.34/9.77 Bliksem 1.12
% 9.34/9.77
% 9.34/9.77
% 9.34/9.77 Automatic Strategy Selection
% 9.34/9.77
% 9.34/9.77
% 9.34/9.77 Clauses:
% 9.34/9.77
% 9.34/9.77 { ! sorti1( X ), ! sorti1( Y ), sorti1( op1( X, Y ) ) }.
% 9.34/9.77 { ! sorti2( X ), ! sorti2( Y ), sorti2( op2( X, Y ) ) }.
% 9.34/9.77 { ! sorti1( X ), ! sorti1( Y ), op1( X, Y ) = op1( Y, X ) }.
% 9.34/9.77 { sorti2( skol1 ) }.
% 9.34/9.77 { sorti2( skol2 ) }.
% 9.34/9.77 { ! op2( skol1, skol2 ) = op2( skol2, skol1 ) }.
% 9.34/9.77 { ! sorti1( X ), sorti2( h( X ) ) }.
% 9.34/9.77 { ! sorti2( X ), sorti1( j( X ) ) }.
% 9.34/9.77 { ! sorti1( X ), ! sorti1( Y ), h( op1( X, Y ) ) = op2( h( X ), h( Y ) ) }
% 9.34/9.77 .
% 9.34/9.77 { ! sorti2( X ), ! sorti2( Y ), j( op2( X, Y ) ) = op1( j( X ), j( Y ) ) }
% 9.34/9.77 .
% 9.34/9.77 { ! sorti2( X ), h( j( X ) ) = X }.
% 9.34/9.77 { ! sorti1( X ), j( h( X ) ) = X }.
% 9.34/9.77
% 9.34/9.77 percentage equality = 0.230769, percentage horn = 1.000000
% 9.34/9.77 This is a problem with some equality
% 9.34/9.77
% 9.34/9.77
% 9.34/9.77
% 9.34/9.77 Options Used:
% 9.34/9.77
% 9.34/9.77 useres = 1
% 9.34/9.77 useparamod = 1
% 9.34/9.77 useeqrefl = 1
% 9.34/9.77 useeqfact = 1
% 9.34/9.77 usefactor = 1
% 9.34/9.77 usesimpsplitting = 0
% 9.34/9.77 usesimpdemod = 5
% 9.34/9.78 usesimpres = 3
% 9.34/9.78
% 9.34/9.78 resimpinuse = 1000
% 9.34/9.78 resimpclauses = 20000
% 9.34/9.78 substype = eqrewr
% 9.34/9.78 backwardsubs = 1
% 9.34/9.78 selectoldest = 5
% 9.34/9.78
% 9.34/9.78 litorderings [0] = split
% 9.34/9.78 litorderings [1] = extend the termordering, first sorting on arguments
% 9.34/9.78
% 9.34/9.78 termordering = kbo
% 9.34/9.78
% 9.34/9.78 litapriori = 0
% 9.34/9.78 termapriori = 1
% 9.34/9.78 litaposteriori = 0
% 9.34/9.78 termaposteriori = 0
% 9.34/9.78 demodaposteriori = 0
% 9.34/9.78 ordereqreflfact = 0
% 9.34/9.78
% 9.34/9.78 litselect = negord
% 9.34/9.78
% 9.34/9.78 maxweight = 15
% 9.34/9.78 maxdepth = 30000
% 9.34/9.78 maxlength = 115
% 9.34/9.78 maxnrvars = 195
% 9.34/9.78 excuselevel = 1
% 9.34/9.78 increasemaxweight = 1
% 9.34/9.78
% 9.34/9.78 maxselected = 10000000
% 9.34/9.78 maxnrclauses = 10000000
% 9.34/9.78
% 9.34/9.78 showgenerated = 0
% 9.34/9.78 showkept = 0
% 9.34/9.78 showselected = 0
% 9.34/9.78 showdeleted = 0
% 9.34/9.78 showresimp = 1
% 9.34/9.78 showstatus = 2000
% 9.34/9.78
% 9.34/9.78 prologoutput = 0
% 9.34/9.78 nrgoals = 5000000
% 9.34/9.78 totalproof = 1
% 9.34/9.78
% 9.34/9.78 Symbols occurring in the translation:
% 9.34/9.78
% 9.34/9.78 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 9.34/9.78 . [1, 2] (w:1, o:25, a:1, s:1, b:0),
% 9.34/9.78 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 9.34/9.78 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 9.34/9.78 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 9.34/9.78 sorti1 [36, 1] (w:1, o:21, a:1, s:1, b:0),
% 9.34/9.78 op1 [38, 2] (w:1, o:49, a:1, s:1, b:0),
% 9.34/9.78 sorti2 [39, 1] (w:1, o:22, a:1, s:1, b:0),
% 9.34/9.78 op2 [40, 2] (w:1, o:50, a:1, s:1, b:0),
% 9.34/9.78 h [41, 1] (w:1, o:23, a:1, s:1, b:0),
% 9.34/9.78 j [42, 1] (w:1, o:24, a:1, s:1, b:0),
% 9.34/9.78 skol1 [49, 0] (w:1, o:14, a:1, s:1, b:1),
% 9.34/9.78 skol2 [50, 0] (w:1, o:15, a:1, s:1, b:1).
% 9.34/9.78
% 9.34/9.78
% 9.34/9.78 Starting Search:
% 9.34/9.78
% 9.34/9.78 *** allocated 15000 integers for clauses
% 9.34/9.78 *** allocated 22500 integers for clauses
% 9.34/9.78 *** allocated 33750 integers for clauses
% 9.34/9.78 *** allocated 50625 integers for clauses
% 9.34/9.78 *** allocated 15000 integers for termspace/termends
% 9.34/9.78 *** allocated 75937 integers for clauses
% 9.34/9.78 Resimplifying inuse:
% 9.34/9.78 Done
% 9.34/9.78
% 9.34/9.78 *** allocated 22500 integers for termspace/termends
% 9.34/9.78 *** allocated 113905 integers for clauses
% 9.34/9.78 *** allocated 33750 integers for termspace/termends
% 9.34/9.78 *** allocated 170857 integers for clauses
% 9.34/9.78
% 9.34/9.78 Intermediate Status:
% 9.34/9.78 Generated: 3758
% 9.34/9.78 Kept: 2005
% 9.34/9.78 Inuse: 107
% 9.34/9.78 Deleted: 25
% 9.34/9.78 Deletedinuse: 6
% 9.34/9.78
% 9.34/9.78 Resimplifying inuse:
% 9.34/9.78 Done
% 9.34/9.78
% 9.34/9.78 *** allocated 50625 integers for termspace/termends
% 9.34/9.78 *** allocated 256285 integers for clauses
% 9.34/9.78 Resimplifying inuse:
% 9.34/9.78 Done
% 9.34/9.78
% 9.34/9.78 *** allocated 75937 integers for termspace/termends
% 9.34/9.78
% 9.34/9.78 Intermediate Status:
% 9.34/9.78 Generated: 6963
% 9.34/9.78 Kept: 4089
% 9.34/9.78 Inuse: 137
% 9.34/9.78 Deleted: 27
% 9.34/9.78 Deletedinuse: 6
% 9.34/9.78
% 9.34/9.78 Resimplifying inuse:
% 9.34/9.78 Done
% 9.34/9.78
% 9.34/9.78 *** allocated 384427 integers for clauses
% 9.34/9.78 Resimplifying inuse:
% 9.34/9.78 Done
% 9.34/9.78
% 9.34/9.78 *** allocated 113905 integers for termspace/termends
% 9.34/9.78
% 9.34/9.78 Intermediate Status:
% 9.34/9.78 Generated: 10517
% 9.34/9.78 Kept: 6092
% 9.34/9.78 Inuse: 169
% 9.34/9.78 Deleted: 31
% 9.34/9.78 Deletedinuse: 6
% 9.34/9.78
% 9.34/9.78 Resimplifying inuse:
% 9.34/9.78 Done
% 9.34/9.78
% 9.34/9.78 *** allocated 576640 integers for clauses
% 9.34/9.78 Resimplifying inuse:
% 9.34/9.78 Done
% 9.34/9.78
% 9.34/9.78
% 9.34/9.78 Intermediate Status:
% 9.34/9.78 Generated: 14939
% 9.34/9.78 Kept: 8130
% 9.34/9.78 Inuse: 205
% 9.34/9.78 Deleted: 33
% 9.34/9.78 Deletedinuse: 6
% 9.34/9.78
% 9.34/9.78 Resimplifying inuse:
% 9.34/9.78 Done
% 9.34/9.78
% 9.34/9.78 *** allocated 170857 integers for termspace/termends
% 9.34/9.78 Resimplifying inuse:
% 9.34/9.78 Done
% 9.34/9.78
% 9.34/9.78
% 9.34/9.78 Intermediate Status:
% 9.34/9.78 Generated: 18239
% 9.34/9.78 Kept: 10173
% 9.34/9.78 Inuse: 230
% 9.34/9.78 Deleted: 35
% 9.34/9.78 Deletedinuse: 6
% 9.34/9.78
% 9.34/9.78 Resimplifying inuse:
% 9.34/9.78 Done
% 9.34/9.78
% 9.34/9.78 *** allocated 864960 integers for clauses
% 9.34/9.78 Resimplifying inuse:
% 9.34/9.78 Done
% 9.34/9.78
% 9.34/9.78
% 9.34/9.78 Intermediate Status:
% 9.34/9.78 Generated: 24023
% 9.34/9.78 Kept: 12185
% 9.34/9.78 Inuse: 281
% 9.34/9.78 Deleted: 50
% 9.34/9.78 Deletedinuse: 16
% 9.34/9.78
% 9.34/9.78 *** allocated 256285 integers for termspace/termends
% 9.34/9.78 Resimplifying inuse:
% 9.34/9.78 Done
% 9.34/9.78
% 9.34/9.78 Resimplifying inuse:
% 9.34/9.78 Done
% 9.34/9.78
% 9.34/9.78
% 9.34/9.78 Intermediate Status:
% 9.34/9.78 Generated: 27805
% 9.34/9.78 Kept: 14250
% 9.34/9.78 Inuse: 302
% 9.34/9.78 Deleted: 54
% 9.34/9.78 Deletedinuse: 16
% 9.34/9.78
% 9.34/9.78 Resimplifying inuse:
% 9.34/9.78 Done
% 9.34/9.78
% 9.34/9.78 Resimplifying inuse:
% 9.34/9.78 Done
% 9.34/9.78
% 9.34/9.78 *** allocated 1297440 integers for clauses
% 9.34/9.78
% 9.34/9.78 Intermediate Status:
% 9.34/9.78 Generated: 32845
% 9.34/9.78 Kept: 16357
% 9.34/9.78 Inuse: 321
% 9.34/9.78 Deleted: 54
% 9.34/9.78 Deletedinuse: 16
% 9.34/9.78
% 9.34/9.78 Resimplifying inuse:
% 9.34/9.78 Done
% 9.34/9.78
% 9.34/9.78 Resimplifying inuse:
% 9.34/9.78 Done
% 9.34/9.78
% 9.34/9.78
% 9.34/9.78 Intermediate Status:
% 9.34/9.78 Generated: 36459
% 9.34/9.78 Kept: 18475
% 9.34/9.78 Inuse: 332
% 9.34/9.78 Deleted: 54
% 9.34/9.78 Deletedinuse: 16
% 9.34/9.78
% 9.34/9.78 *** allocated 384427 integers for termspace/termends
% 9.34/9.78 Resimplifying inuse:
% 9.34/9.78 Done
% 9.34/9.78
% 9.34/9.78 Resimplifying clauses:
% 9.34/9.78 Done
% 9.34/9.78
% 9.34/9.78
% 9.34/9.78 Intermediate Status:
% 9.34/9.78 Generated: 40789
% 9.34/9.78 Kept: 20475
% 9.34/9.78 Inuse: 346
% 9.34/9.78 Deleted: 347
% 9.34/9.78 Deletedinuse: 16
% 9.34/9.78
% 9.34/9.78 Resimplifying inuse:
% 9.34/9.78 Done
% 9.34/9.78
% 9.34/9.78 Resimplifying inuse:
% 9.34/9.78 Done
% 9.34/9.78
% 9.34/9.78
% 9.34/9.78 Intermediate Status:
% 9.34/9.78 Generated: 46450
% 9.34/9.78 Kept: 22597
% 9.34/9.78 Inuse: 365
% 9.34/9.78 Deleted: 347
% 9.34/9.78 Deletedinuse: 16
% 9.34/9.78
% 9.34/9.78 Resimplifying inuse:
% 9.34/9.78 Done
% 9.34/9.78
% 9.34/9.78 Resimplifying inuse:
% 9.34/9.78 Done
% 9.34/9.78
% 9.34/9.78 *** allocated 1946160 integers for clauses
% 9.34/9.78
% 9.34/9.78 Intermediate Status:
% 9.34/9.78 Generated: 51823
% 9.34/9.78 Kept: 24945
% 9.34/9.78 Inuse: 383
% 9.34/9.78 Deleted: 357
% 9.34/9.78 Deletedinuse: 26
% 9.34/9.78
% 9.34/9.78 Resimplifying inuse:
% 9.34/9.78 Done
% 9.34/9.78
% 9.34/9.78 Resimplifying inuse:
% 9.34/9.78 Done
% 9.34/9.78
% 9.34/9.78
% 9.34/9.78 Intermediate Status:
% 9.34/9.78 Generated: 58513
% 9.34/9.78 Kept: 26948
% 9.34/9.78 Inuse: 429
% 9.34/9.78 Deleted: 357
% 9.34/9.78 Deletedinuse: 26
% 9.34/9.78
% 9.34/9.78 Resimplifying inuse:
% 9.34/9.78 Done
% 9.34/9.78
% 9.34/9.78 *** allocated 576640 integers for termspace/termends
% 9.34/9.78 Resimplifying inuse:
% 9.34/9.78 Done
% 9.34/9.78
% 9.34/9.78
% 9.34/9.78 Bliksems!, er is een bewijs:
% 9.34/9.78 % SZS status Theorem
% 9.34/9.78 % SZS output start Refutation
% 9.34/9.78
% 9.34/9.78 (1) {G0,W8,D3,L3,V2,M3} I { ! sorti2( X ), ! sorti2( Y ), sorti2( op2( X, Y
% 9.34/9.78 ) ) }.
% 9.34/9.78 (2) {G0,W11,D3,L3,V2,M3} I { ! sorti1( X ), ! sorti1( Y ), op1( X, Y ) =
% 9.34/9.78 op1( Y, X ) }.
% 9.34/9.78 (3) {G0,W2,D2,L1,V0,M1} I { sorti2( skol1 ) }.
% 9.34/9.78 (4) {G0,W2,D2,L1,V0,M1} I { sorti2( skol2 ) }.
% 9.34/9.78 (5) {G0,W7,D3,L1,V0,M1} I { ! op2( skol1, skol2 ) ==> op2( skol2, skol1 )
% 9.34/9.78 }.
% 9.34/9.78 (7) {G0,W5,D3,L2,V1,M2} I { ! sorti2( X ), sorti1( j( X ) ) }.
% 9.34/9.78 (8) {G0,W14,D4,L3,V2,M3} I { ! sorti1( X ), ! sorti1( Y ), op2( h( X ), h(
% 9.34/9.78 Y ) ) ==> h( op1( X, Y ) ) }.
% 9.34/9.78 (9) {G0,W14,D4,L3,V2,M3} I { ! sorti2( X ), ! sorti2( Y ), op1( j( X ), j(
% 9.34/9.78 Y ) ) ==> j( op2( X, Y ) ) }.
% 9.34/9.78 (10) {G0,W7,D4,L2,V1,M2} I { ! sorti2( X ), h( j( X ) ) ==> X }.
% 9.34/9.78 (16) {G1,W3,D3,L1,V0,M1} R(7,3) { sorti1( j( skol1 ) ) }.
% 9.34/9.78 (17) {G1,W3,D3,L1,V0,M1} R(7,4) { sorti1( j( skol2 ) ) }.
% 9.34/9.78 (55) {G1,W6,D3,L2,V1,M2} R(1,4) { ! sorti2( X ), sorti2( op2( X, skol2 ) )
% 9.34/9.78 }.
% 9.34/9.78 (92) {G2,W11,D4,L2,V1,M2} R(2,17) { ! sorti1( X ), op1( j( skol2 ), X ) =
% 9.34/9.78 op1( X, j( skol2 ) ) }.
% 9.34/9.78 (168) {G1,W14,D5,L3,V2,M3} R(8,7);d(10) { ! sorti1( X ), ! sorti2( Y ), h(
% 9.34/9.78 op1( X, j( Y ) ) ) ==> op2( h( X ), Y ) }.
% 9.34/9.78 (220) {G1,W12,D4,L2,V1,M2} R(9,3) { ! sorti2( X ), op1( j( skol1 ), j( X )
% 9.34/9.78 ) ==> j( op2( skol1, X ) ) }.
% 9.34/9.78 (257) {G2,W11,D5,L2,V1,M2} R(10,55) { h( j( op2( X, skol2 ) ) ) ==> op2( X
% 9.34/9.78 , skol2 ), ! sorti2( X ) }.
% 9.34/9.78 (269) {G1,W5,D4,L1,V0,M1} R(10,4) { h( j( skol2 ) ) ==> skol2 }.
% 9.34/9.78 (10416) {G3,W11,D4,L1,V0,M1} R(92,16) { op1( j( skol1 ), j( skol2 ) ) ==>
% 9.34/9.78 op1( j( skol2 ), j( skol1 ) ) }.
% 9.34/9.78 (28330) {G4,W10,D4,L1,V0,M1} R(220,4);d(10416) { op1( j( skol2 ), j( skol1
% 9.34/9.78 ) ) ==> j( op2( skol1, skol2 ) ) }.
% 9.34/9.78 (28333) {G5,W9,D3,L2,V0,M2} P(28330,168);d(257);d(269);r(17) { ! sorti2(
% 9.34/9.78 skol1 ), op2( skol1, skol2 ) ==> op2( skol2, skol1 ) }.
% 9.34/9.78 (28334) {G6,W0,D0,L0,V0,M0} S(28333);r(3);r(5) { }.
% 9.34/9.78
% 9.34/9.78
% 9.34/9.78 % SZS output end Refutation
% 9.34/9.78 found a proof!
% 9.34/9.78
% 9.34/9.78
% 9.34/9.78 Unprocessed initial clauses:
% 9.34/9.78
% 9.34/9.78 (28336) {G0,W8,D3,L3,V2,M3} { ! sorti1( X ), ! sorti1( Y ), sorti1( op1( X
% 9.34/9.78 , Y ) ) }.
% 9.34/9.78 (28337) {G0,W8,D3,L3,V2,M3} { ! sorti2( X ), ! sorti2( Y ), sorti2( op2( X
% 9.34/9.78 , Y ) ) }.
% 9.34/9.78 (28338) {G0,W11,D3,L3,V2,M3} { ! sorti1( X ), ! sorti1( Y ), op1( X, Y ) =
% 9.34/9.78 op1( Y, X ) }.
% 9.34/9.78 (28339) {G0,W2,D2,L1,V0,M1} { sorti2( skol1 ) }.
% 9.34/9.78 (28340) {G0,W2,D2,L1,V0,M1} { sorti2( skol2 ) }.
% 9.34/9.78 (28341) {G0,W7,D3,L1,V0,M1} { ! op2( skol1, skol2 ) = op2( skol2, skol1 )
% 9.34/9.78 }.
% 9.34/9.78 (28342) {G0,W5,D3,L2,V1,M2} { ! sorti1( X ), sorti2( h( X ) ) }.
% 9.34/9.78 (28343) {G0,W5,D3,L2,V1,M2} { ! sorti2( X ), sorti1( j( X ) ) }.
% 9.34/9.78 (28344) {G0,W14,D4,L3,V2,M3} { ! sorti1( X ), ! sorti1( Y ), h( op1( X, Y
% 9.34/9.78 ) ) = op2( h( X ), h( Y ) ) }.
% 9.34/9.78 (28345) {G0,W14,D4,L3,V2,M3} { ! sorti2( X ), ! sorti2( Y ), j( op2( X, Y
% 9.34/9.78 ) ) = op1( j( X ), j( Y ) ) }.
% 9.34/9.78 (28346) {G0,W7,D4,L2,V1,M2} { ! sorti2( X ), h( j( X ) ) = X }.
% 9.34/9.78 (28347) {G0,W7,D4,L2,V1,M2} { ! sorti1( X ), j( h( X ) ) = X }.
% 9.34/9.78
% 9.34/9.78
% 9.34/9.78 Total Proof:
% 9.34/9.78
% 9.34/9.78 subsumption: (1) {G0,W8,D3,L3,V2,M3} I { ! sorti2( X ), ! sorti2( Y ),
% 9.34/9.78 sorti2( op2( X, Y ) ) }.
% 9.34/9.78 parent0: (28337) {G0,W8,D3,L3,V2,M3} { ! sorti2( X ), ! sorti2( Y ),
% 9.34/9.78 sorti2( op2( X, Y ) ) }.
% 9.34/9.78 substitution0:
% 9.34/9.78 X := X
% 9.34/9.78 Y := Y
% 9.34/9.78 end
% 9.34/9.78 permutation0:
% 9.34/9.78 0 ==> 0
% 9.34/9.78 1 ==> 1
% 9.34/9.78 2 ==> 2
% 9.34/9.78 end
% 9.34/9.78
% 9.34/9.78 subsumption: (2) {G0,W11,D3,L3,V2,M3} I { ! sorti1( X ), ! sorti1( Y ), op1
% 9.34/9.78 ( X, Y ) = op1( Y, X ) }.
% 9.34/9.78 parent0: (28338) {G0,W11,D3,L3,V2,M3} { ! sorti1( X ), ! sorti1( Y ), op1
% 9.34/9.78 ( X, Y ) = op1( Y, X ) }.
% 9.34/9.78 substitution0:
% 9.34/9.78 X := X
% 9.34/9.78 Y := Y
% 9.34/9.78 end
% 9.34/9.78 permutation0:
% 9.34/9.78 0 ==> 0
% 9.34/9.78 1 ==> 1
% 9.34/9.78 2 ==> 2
% 9.34/9.78 end
% 9.34/9.78
% 9.34/9.78 subsumption: (3) {G0,W2,D2,L1,V0,M1} I { sorti2( skol1 ) }.
% 9.34/9.78 parent0: (28339) {G0,W2,D2,L1,V0,M1} { sorti2( skol1 ) }.
% 9.34/9.78 substitution0:
% 9.34/9.78 end
% 9.34/9.78 permutation0:
% 9.34/9.78 0 ==> 0
% 9.34/9.78 end
% 9.34/9.78
% 9.34/9.78 subsumption: (4) {G0,W2,D2,L1,V0,M1} I { sorti2( skol2 ) }.
% 9.34/9.78 parent0: (28340) {G0,W2,D2,L1,V0,M1} { sorti2( skol2 ) }.
% 9.34/9.78 substitution0:
% 9.34/9.78 end
% 9.34/9.78 permutation0:
% 9.34/9.78 0 ==> 0
% 9.34/9.78 end
% 9.34/9.78
% 9.34/9.78 subsumption: (5) {G0,W7,D3,L1,V0,M1} I { ! op2( skol1, skol2 ) ==> op2(
% 9.34/9.78 skol2, skol1 ) }.
% 9.34/9.78 parent0: (28341) {G0,W7,D3,L1,V0,M1} { ! op2( skol1, skol2 ) = op2( skol2
% 9.34/9.78 , skol1 ) }.
% 9.34/9.78 substitution0:
% 9.34/9.78 end
% 9.34/9.78 permutation0:
% 9.34/9.78 0 ==> 0
% 9.34/9.78 end
% 9.34/9.78
% 9.34/9.78 subsumption: (7) {G0,W5,D3,L2,V1,M2} I { ! sorti2( X ), sorti1( j( X ) )
% 9.34/9.78 }.
% 9.34/9.78 parent0: (28343) {G0,W5,D3,L2,V1,M2} { ! sorti2( X ), sorti1( j( X ) ) }.
% 9.34/9.78 substitution0:
% 9.34/9.78 X := X
% 9.34/9.78 end
% 9.34/9.78 permutation0:
% 9.34/9.78 0 ==> 0
% 9.34/9.78 1 ==> 1
% 9.34/9.78 end
% 9.34/9.78
% 9.34/9.78 eqswap: (28371) {G0,W14,D4,L3,V2,M3} { op2( h( X ), h( Y ) ) = h( op1( X,
% 9.34/9.78 Y ) ), ! sorti1( X ), ! sorti1( Y ) }.
% 9.34/9.78 parent0[2]: (28344) {G0,W14,D4,L3,V2,M3} { ! sorti1( X ), ! sorti1( Y ), h
% 9.34/9.78 ( op1( X, Y ) ) = op2( h( X ), h( Y ) ) }.
% 9.34/9.78 substitution0:
% 9.34/9.78 X := X
% 9.34/9.78 Y := Y
% 9.34/9.78 end
% 9.34/9.78
% 9.34/9.78 subsumption: (8) {G0,W14,D4,L3,V2,M3} I { ! sorti1( X ), ! sorti1( Y ), op2
% 9.34/9.78 ( h( X ), h( Y ) ) ==> h( op1( X, Y ) ) }.
% 9.34/9.78 parent0: (28371) {G0,W14,D4,L3,V2,M3} { op2( h( X ), h( Y ) ) = h( op1( X
% 9.34/9.78 , Y ) ), ! sorti1( X ), ! sorti1( Y ) }.
% 9.34/9.78 substitution0:
% 9.34/9.78 X := X
% 9.34/9.78 Y := Y
% 9.34/9.78 end
% 9.34/9.78 permutation0:
% 9.34/9.78 0 ==> 2
% 9.34/9.78 1 ==> 0
% 9.34/9.78 2 ==> 1
% 9.34/9.78 end
% 9.34/9.78
% 9.34/9.78 eqswap: (28381) {G0,W14,D4,L3,V2,M3} { op1( j( X ), j( Y ) ) = j( op2( X,
% 9.34/9.78 Y ) ), ! sorti2( X ), ! sorti2( Y ) }.
% 9.34/9.78 parent0[2]: (28345) {G0,W14,D4,L3,V2,M3} { ! sorti2( X ), ! sorti2( Y ), j
% 9.34/9.78 ( op2( X, Y ) ) = op1( j( X ), j( Y ) ) }.
% 9.34/9.78 substitution0:
% 9.34/9.78 X := X
% 9.34/9.78 Y := Y
% 9.34/9.78 end
% 9.34/9.78
% 9.34/9.78 subsumption: (9) {G0,W14,D4,L3,V2,M3} I { ! sorti2( X ), ! sorti2( Y ), op1
% 9.34/9.78 ( j( X ), j( Y ) ) ==> j( op2( X, Y ) ) }.
% 9.34/9.78 parent0: (28381) {G0,W14,D4,L3,V2,M3} { op1( j( X ), j( Y ) ) = j( op2( X
% 9.34/9.78 , Y ) ), ! sorti2( X ), ! sorti2( Y ) }.
% 9.34/9.78 substitution0:
% 9.34/9.78 X := X
% 9.34/9.78 Y := Y
% 9.34/9.78 end
% 9.34/9.78 permutation0:
% 9.34/9.78 0 ==> 2
% 9.34/9.78 1 ==> 0
% 9.34/9.78 2 ==> 1
% 9.34/9.78 end
% 9.34/9.78
% 9.34/9.78 subsumption: (10) {G0,W7,D4,L2,V1,M2} I { ! sorti2( X ), h( j( X ) ) ==> X
% 9.34/9.78 }.
% 9.34/9.78 parent0: (28346) {G0,W7,D4,L2,V1,M2} { ! sorti2( X ), h( j( X ) ) = X }.
% 9.34/9.78 substitution0:
% 9.34/9.78 X := X
% 9.34/9.78 end
% 9.34/9.78 permutation0:
% 9.34/9.78 0 ==> 0
% 9.34/9.78 1 ==> 1
% 9.34/9.78 end
% 9.34/9.78
% 9.34/9.78 resolution: (28395) {G1,W3,D3,L1,V0,M1} { sorti1( j( skol1 ) ) }.
% 9.34/9.78 parent0[0]: (7) {G0,W5,D3,L2,V1,M2} I { ! sorti2( X ), sorti1( j( X ) ) }.
% 9.34/9.78 parent1[0]: (3) {G0,W2,D2,L1,V0,M1} I { sorti2( skol1 ) }.
% 9.34/9.78 substitution0:
% 9.34/9.78 X := skol1
% 9.34/9.78 end
% 9.34/9.78 substitution1:
% 9.34/9.78 end
% 9.34/9.78
% 9.34/9.78 subsumption: (16) {G1,W3,D3,L1,V0,M1} R(7,3) { sorti1( j( skol1 ) ) }.
% 9.34/9.78 parent0: (28395) {G1,W3,D3,L1,V0,M1} { sorti1( j( skol1 ) ) }.
% 9.34/9.78 substitution0:
% 9.34/9.78 end
% 9.34/9.78 permutation0:
% 9.34/9.78 0 ==> 0
% 9.34/9.78 end
% 9.34/9.78
% 9.34/9.78 resolution: (28396) {G1,W3,D3,L1,V0,M1} { sorti1( j( skol2 ) ) }.
% 9.34/9.78 parent0[0]: (7) {G0,W5,D3,L2,V1,M2} I { ! sorti2( X ), sorti1( j( X ) ) }.
% 9.34/9.78 parent1[0]: (4) {G0,W2,D2,L1,V0,M1} I { sorti2( skol2 ) }.
% 9.34/9.78 substitution0:
% 9.34/9.78 X := skol2
% 9.34/9.78 end
% 9.34/9.78 substitution1:
% 9.34/9.78 end
% 9.34/9.78
% 9.34/9.78 subsumption: (17) {G1,W3,D3,L1,V0,M1} R(7,4) { sorti1( j( skol2 ) ) }.
% 9.34/9.78 parent0: (28396) {G1,W3,D3,L1,V0,M1} { sorti1( j( skol2 ) ) }.
% 9.34/9.78 substitution0:
% 9.34/9.78 end
% 9.34/9.78 permutation0:
% 9.34/9.78 0 ==> 0
% 9.34/9.78 end
% 9.34/9.78
% 9.34/9.78 resolution: (28398) {G1,W6,D3,L2,V1,M2} { ! sorti2( X ), sorti2( op2( X,
% 9.34/9.78 skol2 ) ) }.
% 9.34/9.78 parent0[1]: (1) {G0,W8,D3,L3,V2,M3} I { ! sorti2( X ), ! sorti2( Y ),
% 9.34/9.78 sorti2( op2( X, Y ) ) }.
% 9.34/9.78 parent1[0]: (4) {G0,W2,D2,L1,V0,M1} I { sorti2( skol2 ) }.
% 9.34/9.78 substitution0:
% 9.34/9.78 X := X
% 9.34/9.78 Y := skol2
% 9.34/9.78 end
% 9.34/9.78 substitution1:
% 9.34/9.78 end
% 9.34/9.78
% 9.34/9.78 subsumption: (55) {G1,W6,D3,L2,V1,M2} R(1,4) { ! sorti2( X ), sorti2( op2(
% 9.34/9.78 X, skol2 ) ) }.
% 9.34/9.78 parent0: (28398) {G1,W6,D3,L2,V1,M2} { ! sorti2( X ), sorti2( op2( X,
% 9.34/9.78 skol2 ) ) }.
% 9.34/9.78 substitution0:
% 9.34/9.78 X := X
% 9.34/9.78 end
% 9.34/9.78 permutation0:
% 9.34/9.78 0 ==> 0
% 9.34/9.78 1 ==> 1
% 9.34/9.78 end
% 9.34/9.78
% 9.34/9.78 resolution: (28399) {G1,W11,D4,L2,V1,M2} { ! sorti1( X ), op1( j( skol2 )
% 9.34/9.78 , X ) = op1( X, j( skol2 ) ) }.
% 9.34/9.78 parent0[0]: (2) {G0,W11,D3,L3,V2,M3} I { ! sorti1( X ), ! sorti1( Y ), op1
% 9.34/9.78 ( X, Y ) = op1( Y, X ) }.
% 9.34/9.78 parent1[0]: (17) {G1,W3,D3,L1,V0,M1} R(7,4) { sorti1( j( skol2 ) ) }.
% 9.34/9.78 substitution0:
% 9.34/9.78 X := j( skol2 )
% 9.34/9.78 Y := X
% 9.34/9.78 end
% 9.34/9.78 substitution1:
% 9.34/9.78 end
% 9.34/9.78
% 9.34/9.78 subsumption: (92) {G2,W11,D4,L2,V1,M2} R(2,17) { ! sorti1( X ), op1( j(
% 9.34/9.78 skol2 ), X ) = op1( X, j( skol2 ) ) }.
% 9.34/9.78 parent0: (28399) {G1,W11,D4,L2,V1,M2} { ! sorti1( X ), op1( j( skol2 ), X
% 9.34/9.78 ) = op1( X, j( skol2 ) ) }.
% 9.34/9.78 substitution0:
% 9.34/9.78 X := X
% 9.34/9.78 end
% 9.34/9.78 permutation0:
% 9.34/9.78 0 ==> 0
% 9.34/9.78 1 ==> 1
% 9.34/9.78 end
% 9.34/9.78
% 9.34/9.78 eqswap: (28401) {G0,W14,D4,L3,V2,M3} { h( op1( X, Y ) ) ==> op2( h( X ), h
% 9.34/9.78 ( Y ) ), ! sorti1( X ), ! sorti1( Y ) }.
% 9.34/9.78 parent0[2]: (8) {G0,W14,D4,L3,V2,M3} I { ! sorti1( X ), ! sorti1( Y ), op2
% 9.34/9.78 ( h( X ), h( Y ) ) ==> h( op1( X, Y ) ) }.
% 9.34/9.78 substitution0:
% 9.34/9.78 X := X
% 9.34/9.78 Y := Y
% 9.34/9.78 end
% 9.34/9.78
% 9.34/9.78 resolution: (28404) {G1,W16,D5,L3,V2,M3} { h( op1( X, j( Y ) ) ) ==> op2(
% 9.34/9.78 h( X ), h( j( Y ) ) ), ! sorti1( X ), ! sorti2( Y ) }.
% 9.34/9.78 parent0[2]: (28401) {G0,W14,D4,L3,V2,M3} { h( op1( X, Y ) ) ==> op2( h( X
% 9.34/9.78 ), h( Y ) ), ! sorti1( X ), ! sorti1( Y ) }.
% 9.34/9.78 parent1[1]: (7) {G0,W5,D3,L2,V1,M2} I { ! sorti2( X ), sorti1( j( X ) ) }.
% 9.34/9.78 substitution0:
% 9.34/9.78 X := X
% 9.34/9.78 Y := j( Y )
% 9.34/9.78 end
% 9.34/9.78 substitution1:
% 9.34/9.78 X := Y
% 9.34/9.78 end
% 9.34/9.78
% 9.34/9.78 paramod: (28409) {G1,W16,D5,L4,V2,M4} { h( op1( X, j( Y ) ) ) ==> op2( h(
% 9.34/9.78 X ), Y ), ! sorti2( Y ), ! sorti1( X ), ! sorti2( Y ) }.
% 9.34/9.78 parent0[1]: (10) {G0,W7,D4,L2,V1,M2} I { ! sorti2( X ), h( j( X ) ) ==> X
% 9.34/9.78 }.
% 9.34/9.78 parent1[0; 9]: (28404) {G1,W16,D5,L3,V2,M3} { h( op1( X, j( Y ) ) ) ==>
% 9.34/9.78 op2( h( X ), h( j( Y ) ) ), ! sorti1( X ), ! sorti2( Y ) }.
% 9.34/9.78 substitution0:
% 9.34/9.78 X := Y
% 9.34/9.78 end
% 9.34/9.78 substitution1:
% 9.34/9.78 X := X
% 9.34/9.78 Y := Y
% 9.34/9.78 end
% 9.34/9.78
% 9.34/9.78 factor: (28412) {G1,W14,D5,L3,V2,M3} { h( op1( X, j( Y ) ) ) ==> op2( h( X
% 9.34/9.78 ), Y ), ! sorti2( Y ), ! sorti1( X ) }.
% 9.34/9.78 parent0[1, 3]: (28409) {G1,W16,D5,L4,V2,M4} { h( op1( X, j( Y ) ) ) ==>
% 9.34/9.78 op2( h( X ), Y ), ! sorti2( Y ), ! sorti1( X ), ! sorti2( Y ) }.
% 9.34/9.78 substitution0:
% 9.34/9.78 X := X
% 9.34/9.78 Y := Y
% 9.34/9.78 end
% 9.34/9.78
% 9.34/9.78 subsumption: (168) {G1,W14,D5,L3,V2,M3} R(8,7);d(10) { ! sorti1( X ), !
% 9.34/9.78 sorti2( Y ), h( op1( X, j( Y ) ) ) ==> op2( h( X ), Y ) }.
% 9.34/9.78 parent0: (28412) {G1,W14,D5,L3,V2,M3} { h( op1( X, j( Y ) ) ) ==> op2( h(
% 9.34/9.78 X ), Y ), ! sorti2( Y ), ! sorti1( X ) }.
% 9.34/9.78 substitution0:
% 9.34/9.78 X := X
% 9.34/9.78 Y := Y
% 9.34/9.78 end
% 9.34/9.78 permutation0:
% 9.34/9.78 0 ==> 2
% 9.34/9.78 1 ==> 1
% 9.34/9.78 2 ==> 0
% 9.34/9.78 end
% 9.34/9.78
% 9.34/9.78 eqswap: (28413) {G0,W14,D4,L3,V2,M3} { j( op2( X, Y ) ) ==> op1( j( X ), j
% 9.34/9.78 ( Y ) ), ! sorti2( X ), ! sorti2( Y ) }.
% 9.34/9.78 parent0[2]: (9) {G0,W14,D4,L3,V2,M3} I { ! sorti2( X ), ! sorti2( Y ), op1
% 9.34/9.78 ( j( X ), j( Y ) ) ==> j( op2( X, Y ) ) }.
% 9.34/9.78 substitution0:
% 9.34/9.78 X := X
% 9.34/9.78 Y := Y
% 9.34/9.78 end
% 9.34/9.78
% 9.34/9.78 resolution: (28414) {G1,W12,D4,L2,V1,M2} { j( op2( skol1, X ) ) ==> op1( j
% 9.34/9.78 ( skol1 ), j( X ) ), ! sorti2( X ) }.
% 9.34/9.78 parent0[1]: (28413) {G0,W14,D4,L3,V2,M3} { j( op2( X, Y ) ) ==> op1( j( X
% 9.34/9.78 ), j( Y ) ), ! sorti2( X ), ! sorti2( Y ) }.
% 9.34/9.78 parent1[0]: (3) {G0,W2,D2,L1,V0,M1} I { sorti2( skol1 ) }.
% 9.34/9.78 substitution0:
% 9.34/9.78 X := skol1
% 9.34/9.78 Y := X
% 9.34/9.78 end
% 9.34/9.78 substitution1:
% 9.34/9.78 end
% 9.34/9.78
% 9.34/9.78 eqswap: (28417) {G1,W12,D4,L2,V1,M2} { op1( j( skol1 ), j( X ) ) ==> j(
% 9.34/9.78 op2( skol1, X ) ), ! sorti2( X ) }.
% 9.34/9.78 parent0[0]: (28414) {G1,W12,D4,L2,V1,M2} { j( op2( skol1, X ) ) ==> op1( j
% 9.34/9.78 ( skol1 ), j( X ) ), ! sorti2( X ) }.
% 9.34/9.78 substitution0:
% 9.34/9.78 X := X
% 9.34/9.78 end
% 9.34/9.78
% 9.34/9.78 subsumption: (220) {G1,W12,D4,L2,V1,M2} R(9,3) { ! sorti2( X ), op1( j(
% 9.34/9.78 skol1 ), j( X ) ) ==> j( op2( skol1, X ) ) }.
% 9.34/9.78 parent0: (28417) {G1,W12,D4,L2,V1,M2} { op1( j( skol1 ), j( X ) ) ==> j(
% 9.34/9.78 op2( skol1, X ) ), ! sorti2( X ) }.
% 9.34/9.78 substitution0:
% 9.34/9.78 X := X
% 9.34/9.78 end
% 9.34/9.78 permutation0:
% 9.34/9.78 0 ==> 1
% 9.34/9.78 1 ==> 0
% 9.34/9.78 end
% 9.34/9.78
% 9.34/9.78 eqswap: (28418) {G0,W7,D4,L2,V1,M2} { X ==> h( j( X ) ), ! sorti2( X ) }.
% 9.34/9.78 parent0[1]: (10) {G0,W7,D4,L2,V1,M2} I { ! sorti2( X ), h( j( X ) ) ==> X
% 9.34/9.78 }.
% 9.34/9.78 substitution0:
% 9.34/9.78 X := X
% 9.34/9.78 end
% 9.34/9.78
% 9.34/9.78 resolution: (28419) {G1,W11,D5,L2,V1,M2} { op2( X, skol2 ) ==> h( j( op2(
% 9.34/9.78 X, skol2 ) ) ), ! sorti2( X ) }.
% 9.34/9.78 parent0[1]: (28418) {G0,W7,D4,L2,V1,M2} { X ==> h( j( X ) ), ! sorti2( X )
% 9.34/9.78 }.
% 9.34/9.78 parent1[1]: (55) {G1,W6,D3,L2,V1,M2} R(1,4) { ! sorti2( X ), sorti2( op2( X
% 9.34/9.78 , skol2 ) ) }.
% 9.34/9.78 substitution0:
% 9.34/9.78 X := op2( X, skol2 )
% 9.34/9.78 end
% 9.34/9.78 substitution1:
% 9.34/9.78 X := X
% 9.34/9.78 end
% 9.34/9.78
% 9.34/9.78 eqswap: (28420) {G1,W11,D5,L2,V1,M2} { h( j( op2( X, skol2 ) ) ) ==> op2(
% 9.34/9.78 X, skol2 ), ! sorti2( X ) }.
% 9.34/9.78 parent0[0]: (28419) {G1,W11,D5,L2,V1,M2} { op2( X, skol2 ) ==> h( j( op2(
% 9.34/9.78 X, skol2 ) ) ), ! sorti2( X ) }.
% 9.34/9.78 substitution0:
% 9.34/9.78 X := X
% 9.34/9.78 end
% 9.34/9.78
% 9.34/9.78 subsumption: (257) {G2,W11,D5,L2,V1,M2} R(10,55) { h( j( op2( X, skol2 ) )
% 9.34/9.78 ) ==> op2( X, skol2 ), ! sorti2( X ) }.
% 9.34/9.78 parent0: (28420) {G1,W11,D5,L2,V1,M2} { h( j( op2( X, skol2 ) ) ) ==> op2
% 9.34/9.78 ( X, skol2 ), ! sorti2( X ) }.
% 9.34/9.78 substitution0:
% 9.34/9.78 X := X
% 9.34/9.78 end
% 9.34/9.78 permutation0:
% 9.34/9.78 0 ==> 0
% 9.34/9.78 1 ==> 1
% 9.34/9.78 end
% 9.34/9.78
% 9.34/9.78 eqswap: (28421) {G0,W7,D4,L2,V1,M2} { X ==> h( j( X ) ), ! sorti2( X ) }.
% 9.34/9.78 parent0[1]: (10) {G0,W7,D4,L2,V1,M2} I { ! sorti2( X ), h( j( X ) ) ==> X
% 9.34/9.78 }.
% 9.34/9.78 substitution0:
% 9.34/9.78 X := X
% 9.34/9.78 end
% 9.34/9.78
% 9.34/9.78 resolution: (28422) {G1,W5,D4,L1,V0,M1} { skol2 ==> h( j( skol2 ) ) }.
% 9.34/9.78 parent0[1]: (28421) {G0,W7,D4,L2,V1,M2} { X ==> h( j( X ) ), ! sorti2( X )
% 9.34/9.78 }.
% 9.34/9.78 parent1[0]: (4) {G0,W2,D2,L1,V0,M1} I { sorti2( skol2 ) }.
% 9.34/9.78 substitution0:
% 9.34/9.78 X := skol2
% 9.34/9.78 end
% 9.34/9.78 substitution1:
% 9.34/9.78 end
% 9.34/9.78
% 9.34/9.78 eqswap: (28423) {G1,W5,D4,L1,V0,M1} { h( j( skol2 ) ) ==> skol2 }.
% 9.34/9.78 parent0[0]: (28422) {G1,W5,D4,L1,V0,M1} { skol2 ==> h( j( skol2 ) ) }.
% 9.34/9.78 substitution0:
% 9.34/9.78 end
% 9.34/9.78
% 9.34/9.78 subsumption: (269) {G1,W5,D4,L1,V0,M1} R(10,4) { h( j( skol2 ) ) ==> skol2
% 9.34/9.78 }.
% 9.34/9.78 parent0: (28423) {G1,W5,D4,L1,V0,M1} { h( j( skol2 ) ) ==> skol2 }.
% 9.34/9.78 substitution0:
% 9.34/9.78 end
% 9.34/9.78 permutation0:
% 9.34/9.78 0 ==> 0
% 9.34/9.78 end
% 9.34/9.78
% 9.34/9.78 eqswap: (28424) {G2,W11,D4,L2,V1,M2} { op1( X, j( skol2 ) ) = op1( j(
% 9.34/9.78 skol2 ), X ), ! sorti1( X ) }.
% 9.34/9.78 parent0[1]: (92) {G2,W11,D4,L2,V1,M2} R(2,17) { ! sorti1( X ), op1( j(
% 9.34/9.78 skol2 ), X ) = op1( X, j( skol2 ) ) }.
% 9.34/9.78 substitution0:
% 9.34/9.78 X := X
% 9.34/9.78 end
% 9.34/9.78
% 9.34/9.78 resolution: (28425) {G2,W11,D4,L1,V0,M1} { op1( j( skol1 ), j( skol2 ) ) =
% 9.34/9.78 op1( j( skol2 ), j( skol1 ) ) }.
% 9.34/9.78 parent0[1]: (28424) {G2,W11,D4,L2,V1,M2} { op1( X, j( skol2 ) ) = op1( j(
% 9.34/9.78 skol2 ), X ), ! sorti1( X ) }.
% 9.34/9.78 parent1[0]: (16) {G1,W3,D3,L1,V0,M1} R(7,3) { sorti1( j( skol1 ) ) }.
% 9.34/9.78 substitution0:
% 9.34/9.78 X := j( skol1 )
% 9.34/9.78 end
% 9.34/9.78 substitution1:
% 9.34/9.78 end
% 9.34/9.78
% 9.34/9.78 subsumption: (10416) {G3,W11,D4,L1,V0,M1} R(92,16) { op1( j( skol1 ), j(
% 9.34/9.78 skol2 ) ) ==> op1( j( skol2 ), j( skol1 ) ) }.
% 9.34/9.78 parent0: (28425) {G2,W11,D4,L1,V0,M1} { op1( j( skol1 ), j( skol2 ) ) =
% 9.34/9.78 op1( j( skol2 ), j( skol1 ) ) }.
% 9.34/9.78 substitution0:
% 9.34/9.78 end
% 9.34/9.78 permutation0:
% 9.34/9.78 0 ==> 0
% 9.34/9.78 end
% 9.34/9.78
% 9.34/9.78 eqswap: (28427) {G1,W12,D4,L2,V1,M2} { j( op2( skol1, X ) ) ==> op1( j(
% 9.34/9.78 skol1 ), j( X ) ), ! sorti2( X ) }.
% 9.34/9.78 parent0[1]: (220) {G1,W12,D4,L2,V1,M2} R(9,3) { ! sorti2( X ), op1( j(
% 9.34/9.78 skol1 ), j( X ) ) ==> j( op2( skol1, X ) ) }.
% 9.34/9.78 substitution0:
% 9.34/9.78 X := X
% 9.34/9.78 end
% 9.34/9.78
% 9.34/9.78 resolution: (28429) {G1,W10,D4,L1,V0,M1} { j( op2( skol1, skol2 ) ) ==>
% 9.34/9.78 op1( j( skol1 ), j( skol2 ) ) }.
% 9.34/9.78 parent0[1]: (28427) {G1,W12,D4,L2,V1,M2} { j( op2( skol1, X ) ) ==> op1( j
% 9.34/9.78 ( skol1 ), j( X ) ), ! sorti2( X ) }.
% 9.34/9.78 parent1[0]: (4) {G0,W2,D2,L1,V0,M1} I { sorti2( skol2 ) }.
% 9.34/9.78 substitution0:
% 9.34/9.78 X := skol2
% 9.34/9.78 end
% 9.34/9.78 substitution1:
% 9.34/9.78 end
% 9.34/9.78
% 9.34/9.78 paramod: (28430) {G2,W10,D4,L1,V0,M1} { j( op2( skol1, skol2 ) ) ==> op1(
% 9.34/9.78 j( skol2 ), j( skol1 ) ) }.
% 9.34/9.78 parent0[0]: (10416) {G3,W11,D4,L1,V0,M1} R(92,16) { op1( j( skol1 ), j(
% 9.34/9.78 skol2 ) ) ==> op1( j( skol2 ), j( skol1 ) ) }.
% 9.34/9.78 parent1[0; 5]: (28429) {G1,W10,D4,L1,V0,M1} { j( op2( skol1, skol2 ) ) ==>
% 9.34/9.78 op1( j( skol1 ), j( skol2 ) ) }.
% 9.34/9.78 substitution0:
% 9.34/9.78 end
% 9.34/9.78 substitution1:
% 9.34/9.78 end
% 9.34/9.78
% 9.34/9.78 eqswap: (28431) {G2,W10,D4,L1,V0,M1} { op1( j( skol2 ), j( skol1 ) ) ==> j
% 9.34/9.78 ( op2( skol1, skol2 ) ) }.
% 9.34/9.78 parent0[0]: (28430) {G2,W10,D4,L1,V0,M1} { j( op2( skol1, skol2 ) ) ==>
% 9.34/9.78 op1( j( skol2 ), j( skol1 ) ) }.
% 9.34/9.78 substitution0:
% 9.34/9.78 end
% 9.34/9.78
% 9.34/9.78 subsumption: (28330) {G4,W10,D4,L1,V0,M1} R(220,4);d(10416) { op1( j( skol2
% 9.34/9.78 ), j( skol1 ) ) ==> j( op2( skol1, skol2 ) ) }.
% 9.34/9.78 parent0: (28431) {G2,W10,D4,L1,V0,M1} { op1( j( skol2 ), j( skol1 ) ) ==>
% 9.34/9.78 j( op2( skol1, skol2 ) ) }.
% 9.34/9.78 substitution0:
% 9.34/9.78 end
% 9.34/9.78 permutation0:
% 9.34/9.78 0 ==> 0
% 9.34/9.78 end
% 9.34/9.78
% 9.34/9.78 eqswap: (28433) {G1,W14,D5,L3,V2,M3} { op2( h( X ), Y ) ==> h( op1( X, j(
% 9.34/9.78 Y ) ) ), ! sorti1( X ), ! sorti2( Y ) }.
% 9.34/9.78 parent0[2]: (168) {G1,W14,D5,L3,V2,M3} R(8,7);d(10) { ! sorti1( X ), !
% 9.34/9.78 sorti2( Y ), h( op1( X, j( Y ) ) ) ==> op2( h( X ), Y ) }.
% 9.34/9.78 substitution0:
% 9.34/9.78 X := X
% 9.34/9.78 Y := Y
% 9.34/9.78 end
% 9.34/9.78
% 9.34/9.78 paramod: (28436) {G2,W16,D5,L3,V0,M3} { op2( h( j( skol2 ) ), skol1 ) ==>
% 9.34/9.78 h( j( op2( skol1, skol2 ) ) ), ! sorti1( j( skol2 ) ), ! sorti2( skol1 )
% 9.34/9.78 }.
% 9.34/9.78 parent0[0]: (28330) {G4,W10,D4,L1,V0,M1} R(220,4);d(10416) { op1( j( skol2
% 9.34/9.78 ), j( skol1 ) ) ==> j( op2( skol1, skol2 ) ) }.
% 9.34/9.78 parent1[0; 7]: (28433) {G1,W14,D5,L3,V2,M3} { op2( h( X ), Y ) ==> h( op1
% 9.34/9.78 ( X, j( Y ) ) ), ! sorti1( X ), ! sorti2( Y ) }.
% 9.34/9.78 substitution0:
% 9.34/9.78 end
% 9.34/9.78 substitution1:
% 9.34/9.78 X := j( skol2 )
% 9.34/9.78 Y := skol1
% 9.34/9.78 end
% 9.34/9.78
% 9.34/9.78 paramod: (28437) {G3,W16,D5,L4,V0,M4} { op2( h( j( skol2 ) ), skol1 ) ==>
% 9.34/9.78 op2( skol1, skol2 ), ! sorti2( skol1 ), ! sorti1( j( skol2 ) ), ! sorti2
% 9.34/9.78 ( skol1 ) }.
% 9.34/9.78 parent0[0]: (257) {G2,W11,D5,L2,V1,M2} R(10,55) { h( j( op2( X, skol2 ) ) )
% 9.34/9.78 ==> op2( X, skol2 ), ! sorti2( X ) }.
% 9.34/9.78 parent1[0; 6]: (28436) {G2,W16,D5,L3,V0,M3} { op2( h( j( skol2 ) ), skol1
% 9.34/9.78 ) ==> h( j( op2( skol1, skol2 ) ) ), ! sorti1( j( skol2 ) ), ! sorti2(
% 9.34/9.78 skol1 ) }.
% 9.34/9.78 substitution0:
% 9.34/9.78 X := skol1
% 9.34/9.78 end
% 9.34/9.78 substitution1:
% 9.34/9.78 end
% 9.34/9.78
% 9.34/9.78 factor: (28438) {G3,W14,D5,L3,V0,M3} { op2( h( j( skol2 ) ), skol1 ) ==>
% 9.34/9.78 op2( skol1, skol2 ), ! sorti2( skol1 ), ! sorti1( j( skol2 ) ) }.
% 9.34/9.78 parent0[1, 3]: (28437) {G3,W16,D5,L4,V0,M4} { op2( h( j( skol2 ) ), skol1
% 9.34/9.78 ) ==> op2( skol1, skol2 ), ! sorti2( skol1 ), ! sorti1( j( skol2 ) ), !
% 9.34/9.78 sorti2( skol1 ) }.
% 9.34/9.78 substitution0:
% 9.34/9.78 end
% 9.34/9.78
% 9.34/9.78 paramod: (28439) {G2,W12,D3,L3,V0,M3} { op2( skol2, skol1 ) ==> op2( skol1
% 9.34/9.78 , skol2 ), ! sorti2( skol1 ), ! sorti1( j( skol2 ) ) }.
% 9.34/9.78 parent0[0]: (269) {G1,W5,D4,L1,V0,M1} R(10,4) { h( j( skol2 ) ) ==> skol2
% 9.34/9.78 }.
% 9.34/9.78 parent1[0; 2]: (28438) {G3,W14,D5,L3,V0,M3} { op2( h( j( skol2 ) ), skol1
% 9.34/9.78 ) ==> op2( skol1, skol2 ), ! sorti2( skol1 ), ! sorti1( j( skol2 ) ) }.
% 9.34/9.78 substitution0:
% 9.34/9.78 end
% 9.34/9.78 substitution1:
% 9.34/9.78 end
% 9.34/9.78
% 9.34/9.78 resolution: (28440) {G2,W9,D3,L2,V0,M2} { op2( skol2, skol1 ) ==> op2(
% 9.34/9.78 skol1, skol2 ), ! sorti2( skol1 ) }.
% 9.34/9.78 parent0[2]: (28439) {G2,W12,D3,L3,V0,M3} { op2( skol2, skol1 ) ==> op2(
% 9.34/9.78 skol1, skol2 ), ! sorti2( skol1 ), ! sorti1( j( skol2 ) ) }.
% 9.34/9.78 parent1[0]: (17) {G1,W3,D3,L1,V0,M1} R(7,4) { sorti1( j( skol2 ) ) }.
% 9.34/9.78 substitution0:
% 9.34/9.78 end
% 9.34/9.78 substitution1:
% 9.34/9.78 end
% 9.34/9.78
% 9.34/9.78 eqswap: (28441) {G2,W9,D3,L2,V0,M2} { op2( skol1, skol2 ) ==> op2( skol2,
% 9.34/9.78 skol1 ), ! sorti2( skol1 ) }.
% 9.34/9.78 parent0[0]: (28440) {G2,W9,D3,L2,V0,M2} { op2( skol2, skol1 ) ==> op2(
% 9.34/9.78 skol1, skol2 ), ! sorti2( skol1 ) }.
% 9.34/9.78 substitution0:
% 9.34/9.78 end
% 9.34/9.78
% 9.34/9.78 subsumption: (28333) {G5,W9,D3,L2,V0,M2} P(28330,168);d(257);d(269);r(17)
% 9.34/9.78 { ! sorti2( skol1 ), op2( skol1, skol2 ) ==> op2( skol2, skol1 ) }.
% 9.34/9.78 parent0: (28441) {G2,W9,D3,L2,V0,M2} { op2( skol1, skol2 ) ==> op2( skol2
% 9.34/9.78 , skol1 ), ! sorti2( skol1 ) }.
% 9.34/9.78 substitution0:
% 9.34/9.78 end
% 9.34/9.78 permutation0:
% 9.34/9.78 0 ==> 1
% 9.34/9.78 1 ==> 0
% 9.34/9.78 end
% 9.34/9.78
% 9.34/9.78 resolution: (28444) {G1,W7,D3,L1,V0,M1} { op2( skol1, skol2 ) ==> op2(
% 9.34/9.78 skol2, skol1 ) }.
% 9.34/9.78 parent0[0]: (28333) {G5,W9,D3,L2,V0,M2} P(28330,168);d(257);d(269);r(17) {
% 9.34/9.78 ! sorti2( skol1 ), op2( skol1, skol2 ) ==> op2( skol2, skol1 ) }.
% 9.34/9.78 parent1[0]: (3) {G0,W2,D2,L1,V0,M1} I { sorti2( skol1 ) }.
% 9.34/9.78 substitution0:
% 9.34/9.78 end
% 9.34/9.78 substitution1:
% 9.34/9.78 end
% 9.34/9.78
% 9.34/9.78 resolution: (28445) {G1,W0,D0,L0,V0,M0} { }.
% 9.34/9.78 parent0[0]: (5) {G0,W7,D3,L1,V0,M1} I { ! op2( skol1, skol2 ) ==> op2(
% 9.34/9.78 skol2, skol1 ) }.
% 9.34/9.78 parent1[0]: (28444) {G1,W7,D3,L1,V0,M1} { op2( skol1, skol2 ) ==> op2(
% 9.34/9.78 skol2, skol1 ) }.
% 9.34/9.78 substitution0:
% 9.34/9.78 end
% 9.34/9.78 substitution1:
% 9.34/9.78 end
% 9.34/9.78
% 9.34/9.78 subsumption: (28334) {G6,W0,D0,L0,V0,M0} S(28333);r(3);r(5) { }.
% 9.34/9.78 parent0: (28445) {G1,W0,D0,L0,V0,M0} { }.
% 9.34/9.78 substitution0:
% 9.34/9.78 end
% 9.34/9.78 permutation0:
% 9.34/9.78 end
% 9.34/9.78
% 9.34/9.78 Proof check complete!
% 9.34/9.78
% 9.34/9.78 Memory use:
% 9.34/9.78
% 9.34/9.78 space for terms: 395760
% 9.34/9.78 space for clauses: 1499127
% 9.34/9.78
% 9.34/9.78
% 9.34/9.78 clauses generated: 65120
% 9.34/9.78 clauses kept: 28335
% 9.34/9.78 clauses selected: 469
% 9.34/9.78 clauses deleted: 359
% 9.34/9.78 clauses inuse deleted: 26
% 9.34/9.78
% 9.34/9.78 subsentry: 304347
% 9.34/9.78 literals s-matched: 82488
% 9.34/9.78 literals matched: 82488
% 9.34/9.78 full subsumption: 32410
% 9.34/9.78
% 9.34/9.78 checksum: -922460388
% 9.34/9.78
% 9.34/9.78
% 9.34/9.78 Bliksem ended
%------------------------------------------------------------------------------