TSTP Solution File: ALG178+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG178+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n022.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 12:09:48 EDT 2022
% Result : Theorem 12.92s 13.34s
% Output : Refutation 12.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG178+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Wed Jun 8 14:25:20 EDT 2022
% 0.13/0.35 % CPUTime :
% 12.92/13.34 *** allocated 10000 integers for termspace/termends
% 12.92/13.34 *** allocated 10000 integers for clauses
% 12.92/13.34 *** allocated 10000 integers for justifications
% 12.92/13.34 Bliksem 1.12
% 12.92/13.34
% 12.92/13.34
% 12.92/13.34 Automatic Strategy Selection
% 12.92/13.34
% 12.92/13.34
% 12.92/13.34 Clauses:
% 12.92/13.34
% 12.92/13.34 { ! sorti1( X ), ! sorti1( Y ), sorti1( op1( X, Y ) ) }.
% 12.92/13.34 { ! sorti2( X ), ! sorti2( Y ), sorti2( op2( X, Y ) ) }.
% 12.92/13.34 { ! sorti1( X ), ! sorti1( Y ), op1( X, op1( X, Y ) ) = Y }.
% 12.92/13.34 { sorti2( skol1 ) }.
% 12.92/13.34 { sorti2( skol2 ) }.
% 12.92/13.34 { ! op2( skol1, op2( skol1, skol2 ) ) = skol2 }.
% 12.92/13.34 { ! sorti1( X ), sorti2( h( X ) ) }.
% 12.92/13.34 { ! sorti2( X ), sorti1( j( X ) ) }.
% 12.92/13.34 { ! sorti1( X ), ! sorti1( Y ), h( op1( X, Y ) ) = op2( h( X ), h( Y ) ) }
% 12.92/13.34 .
% 12.92/13.34 { ! sorti2( X ), ! sorti2( Y ), j( op2( X, Y ) ) = op1( j( X ), j( Y ) ) }
% 12.92/13.34 .
% 12.92/13.34 { ! sorti2( X ), h( j( X ) ) = X }.
% 12.92/13.34 { ! sorti1( X ), j( h( X ) ) = X }.
% 12.92/13.34
% 12.92/13.34 percentage equality = 0.230769, percentage horn = 1.000000
% 12.92/13.34 This is a problem with some equality
% 12.92/13.34
% 12.92/13.34
% 12.92/13.34
% 12.92/13.34 Options Used:
% 12.92/13.34
% 12.92/13.34 useres = 1
% 12.92/13.34 useparamod = 1
% 12.92/13.34 useeqrefl = 1
% 12.92/13.34 useeqfact = 1
% 12.92/13.34 usefactor = 1
% 12.92/13.34 usesimpsplitting = 0
% 12.92/13.34 usesimpdemod = 5
% 12.92/13.34 usesimpres = 3
% 12.92/13.34
% 12.92/13.34 resimpinuse = 1000
% 12.92/13.34 resimpclauses = 20000
% 12.92/13.34 substype = eqrewr
% 12.92/13.34 backwardsubs = 1
% 12.92/13.34 selectoldest = 5
% 12.92/13.34
% 12.92/13.34 litorderings [0] = split
% 12.92/13.34 litorderings [1] = extend the termordering, first sorting on arguments
% 12.92/13.34
% 12.92/13.34 termordering = kbo
% 12.92/13.34
% 12.92/13.34 litapriori = 0
% 12.92/13.34 termapriori = 1
% 12.92/13.34 litaposteriori = 0
% 12.92/13.34 termaposteriori = 0
% 12.92/13.34 demodaposteriori = 0
% 12.92/13.34 ordereqreflfact = 0
% 12.92/13.34
% 12.92/13.34 litselect = negord
% 12.92/13.34
% 12.92/13.34 maxweight = 15
% 12.92/13.34 maxdepth = 30000
% 12.92/13.34 maxlength = 115
% 12.92/13.34 maxnrvars = 195
% 12.92/13.34 excuselevel = 1
% 12.92/13.34 increasemaxweight = 1
% 12.92/13.34
% 12.92/13.34 maxselected = 10000000
% 12.92/13.34 maxnrclauses = 10000000
% 12.92/13.34
% 12.92/13.34 showgenerated = 0
% 12.92/13.34 showkept = 0
% 12.92/13.34 showselected = 0
% 12.92/13.34 showdeleted = 0
% 12.92/13.34 showresimp = 1
% 12.92/13.34 showstatus = 2000
% 12.92/13.34
% 12.92/13.34 prologoutput = 0
% 12.92/13.34 nrgoals = 5000000
% 12.92/13.34 totalproof = 1
% 12.92/13.34
% 12.92/13.34 Symbols occurring in the translation:
% 12.92/13.34
% 12.92/13.34 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 12.92/13.34 . [1, 2] (w:1, o:25, a:1, s:1, b:0),
% 12.92/13.34 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 12.92/13.34 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 12.92/13.34 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 12.92/13.34 sorti1 [36, 1] (w:1, o:21, a:1, s:1, b:0),
% 12.92/13.34 op1 [38, 2] (w:1, o:49, a:1, s:1, b:0),
% 12.92/13.34 sorti2 [39, 1] (w:1, o:22, a:1, s:1, b:0),
% 12.92/13.34 op2 [40, 2] (w:1, o:50, a:1, s:1, b:0),
% 12.92/13.34 h [41, 1] (w:1, o:23, a:1, s:1, b:0),
% 12.92/13.34 j [42, 1] (w:1, o:24, a:1, s:1, b:0),
% 12.92/13.34 skol1 [49, 0] (w:1, o:14, a:1, s:1, b:1),
% 12.92/13.34 skol2 [50, 0] (w:1, o:15, a:1, s:1, b:1).
% 12.92/13.34
% 12.92/13.34
% 12.92/13.34 Starting Search:
% 12.92/13.34
% 12.92/13.34 *** allocated 15000 integers for clauses
% 12.92/13.34 *** allocated 22500 integers for clauses
% 12.92/13.34 *** allocated 33750 integers for clauses
% 12.92/13.34 *** allocated 50625 integers for clauses
% 12.92/13.34 *** allocated 15000 integers for termspace/termends
% 12.92/13.34 *** allocated 75937 integers for clauses
% 12.92/13.34 Resimplifying inuse:
% 12.92/13.34 Done
% 12.92/13.34
% 12.92/13.34 *** allocated 22500 integers for termspace/termends
% 12.92/13.34 *** allocated 113905 integers for clauses
% 12.92/13.34 *** allocated 33750 integers for termspace/termends
% 12.92/13.34 *** allocated 170857 integers for clauses
% 12.92/13.34
% 12.92/13.34 Intermediate Status:
% 12.92/13.34 Generated: 3928
% 12.92/13.34 Kept: 2029
% 12.92/13.34 Inuse: 109
% 12.92/13.34 Deleted: 22
% 12.92/13.34 Deletedinuse: 6
% 12.92/13.34
% 12.92/13.34 Resimplifying inuse:
% 12.92/13.34 Done
% 12.92/13.34
% 12.92/13.34 *** allocated 50625 integers for termspace/termends
% 12.92/13.34 *** allocated 256285 integers for clauses
% 12.92/13.34 Resimplifying inuse:
% 12.92/13.34 Done
% 12.92/13.34
% 12.92/13.34 *** allocated 75937 integers for termspace/termends
% 12.92/13.34
% 12.92/13.34 Intermediate Status:
% 12.92/13.34 Generated: 7145
% 12.92/13.34 Kept: 4114
% 12.92/13.34 Inuse: 139
% 12.92/13.34 Deleted: 25
% 12.92/13.34 Deletedinuse: 6
% 12.92/13.34
% 12.92/13.34 Resimplifying inuse:
% 12.92/13.34 Done
% 12.92/13.34
% 12.92/13.34 *** allocated 384427 integers for clauses
% 12.92/13.34 Resimplifying inuse:
% 12.92/13.34 Done
% 12.92/13.34
% 12.92/13.34 *** allocated 113905 integers for termspace/termends
% 12.92/13.34
% 12.92/13.34 Intermediate Status:
% 12.92/13.34 Generated: 10947
% 12.92/13.34 Kept: 6214
% 12.92/13.34 Inuse: 169
% 12.92/13.34 Deleted: 28
% 12.92/13.34 Deletedinuse: 6
% 12.92/13.34
% 12.92/13.34 Resimplifying inuse:
% 12.92/13.34 Done
% 12.92/13.34
% 12.92/13.34 *** allocated 576640 integers for clauses
% 12.92/13.34 Resimplifying inuse:
% 12.92/13.34 Done
% 12.92/13.34
% 12.92/13.34
% 12.92/13.34 Intermediate Status:
% 12.92/13.34 Generated: 15544
% 12.92/13.34 Kept: 8473
% 12.92/13.34 Inuse: 207
% 12.92/13.34 Deleted: 30
% 12.92/13.34 Deletedinuse: 6
% 12.92/13.34
% 12.92/13.34 Resimplifying inuse:
% 12.92/13.34 Done
% 12.92/13.34
% 12.92/13.34 *** allocated 170857 integers for termspace/termends
% 12.92/13.34 Resimplifying inuse:
% 12.92/13.34 Done
% 12.92/13.34
% 12.92/13.34
% 12.92/13.34 Intermediate Status:
% 12.92/13.34 Generated: 19180
% 12.92/13.34 Kept: 10502
% 12.92/13.34 Inuse: 239
% 12.92/13.34 Deleted: 34
% 12.92/13.34 Deletedinuse: 6
% 12.92/13.34
% 12.92/13.34 Resimplifying inuse:
% 12.92/13.34 Done
% 12.92/13.34
% 12.92/13.34 *** allocated 864960 integers for clauses
% 12.92/13.34 Resimplifying inuse:
% 12.92/13.34 Done
% 12.92/13.34
% 12.92/13.34
% 12.92/13.34 Intermediate Status:
% 12.92/13.34 Generated: 26500
% 12.92/13.34 Kept: 12545
% 12.92/13.34 Inuse: 306
% 12.92/13.34 Deleted: 42
% 12.92/13.34 Deletedinuse: 8
% 12.92/13.34
% 12.92/13.34 Resimplifying inuse:
% 12.92/13.34 Done
% 12.92/13.34
% 12.92/13.34 *** allocated 256285 integers for termspace/termends
% 12.92/13.34 Resimplifying inuse:
% 12.92/13.34 Done
% 12.92/13.34
% 12.92/13.34
% 12.92/13.34 Intermediate Status:
% 12.92/13.34 Generated: 32027
% 12.92/13.34 Kept: 14679
% 12.92/13.34 Inuse: 329
% 12.92/13.34 Deleted: 55
% 12.92/13.34 Deletedinuse: 20
% 12.92/13.34
% 12.92/13.34 Resimplifying inuse:
% 12.92/13.34 Done
% 12.92/13.34
% 12.92/13.34 Resimplifying inuse:
% 12.92/13.34 Done
% 12.92/13.34
% 12.92/13.34 *** allocated 1297440 integers for clauses
% 12.92/13.34
% 12.92/13.34 Intermediate Status:
% 12.92/13.34 Generated: 35674
% 12.92/13.34 Kept: 16715
% 12.92/13.34 Inuse: 342
% 12.92/13.34 Deleted: 55
% 12.92/13.34 Deletedinuse: 20
% 12.92/13.34
% 12.92/13.34 Resimplifying inuse:
% 12.92/13.34 Done
% 12.92/13.34
% 12.92/13.34 Resimplifying inuse:
% 12.92/13.34 Done
% 12.92/13.34
% 12.92/13.34 *** allocated 384427 integers for termspace/termends
% 12.92/13.34
% 12.92/13.34 Intermediate Status:
% 12.92/13.34 Generated: 39773
% 12.92/13.34 Kept: 18861
% 12.92/13.34 Inuse: 355
% 12.92/13.34 Deleted: 55
% 12.92/13.34 Deletedinuse: 20
% 12.92/13.34
% 12.92/13.34 Resimplifying inuse:
% 12.92/13.34 Done
% 12.92/13.34
% 12.92/13.34 Resimplifying clauses:
% 12.92/13.34 Done
% 12.92/13.34
% 12.92/13.34 Resimplifying inuse:
% 12.92/13.34 Done
% 12.92/13.34
% 12.92/13.34
% 12.92/13.34 Intermediate Status:
% 12.92/13.34 Generated: 45215
% 12.92/13.34 Kept: 20943
% 12.92/13.34 Inuse: 373
% 12.92/13.34 Deleted: 682
% 12.92/13.34 Deletedinuse: 23
% 12.92/13.34
% 12.92/13.34 Resimplifying inuse:
% 12.92/13.34 Done
% 12.92/13.34
% 12.92/13.34 Resimplifying inuse:
% 12.92/13.34 Done
% 12.92/13.34
% 12.92/13.34
% 12.92/13.34 Intermediate Status:
% 12.92/13.34 Generated: 49914
% 12.92/13.34 Kept: 23204
% 12.92/13.34 Inuse: 386
% 12.92/13.34 Deleted: 682
% 12.92/13.34 Deletedinuse: 23
% 12.92/13.34
% 12.92/13.34 Resimplifying inuse:
% 12.92/13.34 Done
% 12.92/13.34
% 12.92/13.34 *** allocated 1946160 integers for clauses
% 12.92/13.34 Resimplifying inuse:
% 12.92/13.34 Done
% 12.92/13.34
% 12.92/13.34
% 12.92/13.34 Intermediate Status:
% 12.92/13.34 Generated: 57359
% 12.92/13.34 Kept: 25255
% 12.92/13.34 Inuse: 426
% 12.92/13.34 Deleted: 684
% 12.92/13.34 Deletedinuse: 23
% 12.92/13.34
% 12.92/13.34 Resimplifying inuse:
% 12.92/13.34 Done
% 12.92/13.34
% 12.92/13.34 Resimplifying inuse:
% 12.92/13.34 Done
% 12.92/13.34
% 12.92/13.34
% 12.92/13.34 Intermediate Status:
% 12.92/13.34 Generated: 60941
% 12.92/13.34 Kept: 27265
% 12.92/13.34 Inuse: 440
% 12.92/13.34 Deleted: 686
% 12.92/13.34 Deletedinuse: 25
% 12.92/13.34
% 12.92/13.34 *** allocated 576640 integers for termspace/termends
% 12.92/13.34 Resimplifying inuse:
% 12.92/13.34 Done
% 12.92/13.34
% 12.92/13.34 Resimplifying inuse:
% 12.92/13.34 Done
% 12.92/13.34
% 12.92/13.34
% 12.92/13.34 Intermediate Status:
% 12.92/13.34 Generated: 67835
% 12.92/13.34 Kept: 29303
% 12.92/13.34 Inuse: 478
% 12.92/13.34 Deleted: 686
% 12.92/13.34 Deletedinuse: 25
% 12.92/13.34
% 12.92/13.34 Resimplifying inuse:
% 12.92/13.34 Done
% 12.92/13.34
% 12.92/13.34
% 12.92/13.34 Intermediate Status:
% 12.92/13.34 Generated: 76739
% 12.92/13.34 Kept: 31450
% 12.92/13.34 Inuse: 508
% 12.92/13.34 Deleted: 686
% 12.92/13.34 Deletedinuse: 25
% 12.92/13.34
% 12.92/13.34 Resimplifying inuse:
% 12.92/13.34 Done
% 12.92/13.34
% 12.92/13.34 Resimplifying inuse:
% 12.92/13.34 Done
% 12.92/13.34
% 12.92/13.34
% 12.92/13.34 Intermediate Status:
% 12.92/13.34 Generated: 82354
% 12.92/13.34 Kept: 33511
% 12.92/13.34 Inuse: 520
% 12.92/13.34 Deleted: 686
% 12.92/13.34 Deletedinuse: 25
% 12.92/13.34
% 12.92/13.34 Resimplifying inuse:
% 12.92/13.34 Done
% 12.92/13.34
% 12.92/13.34
% 12.92/13.34 Bliksems!, er is een bewijs:
% 12.92/13.34 % SZS status Theorem
% 12.92/13.34 % SZS output start Refutation
% 12.92/13.34
% 12.92/13.34 (1) {G0,W8,D3,L3,V2,M3} I { ! sorti2( X ), ! sorti2( Y ), sorti2( op2( X, Y
% 12.92/13.34 ) ) }.
% 12.92/13.34 (2) {G0,W11,D4,L3,V2,M3} I { ! sorti1( X ), ! sorti1( Y ), op1( X, op1( X,
% 12.92/13.34 Y ) ) ==> Y }.
% 12.92/13.34 (3) {G0,W2,D2,L1,V0,M1} I { sorti2( skol1 ) }.
% 12.92/13.34 (4) {G0,W2,D2,L1,V0,M1} I { sorti2( skol2 ) }.
% 12.92/13.34 (5) {G0,W7,D4,L1,V0,M1} I { ! op2( skol1, op2( skol1, skol2 ) ) ==> skol2
% 12.92/13.34 }.
% 12.92/13.34 (7) {G0,W5,D3,L2,V1,M2} I { ! sorti2( X ), sorti1( j( X ) ) }.
% 12.92/13.34 (9) {G0,W14,D4,L3,V2,M3} I { ! sorti2( X ), ! sorti2( Y ), op1( j( X ), j(
% 12.92/13.34 Y ) ) ==> j( op2( X, Y ) ) }.
% 12.92/13.34 (10) {G0,W7,D4,L2,V1,M2} I { ! sorti2( X ), h( j( X ) ) ==> X }.
% 12.92/13.34 (17) {G1,W3,D3,L1,V0,M1} R(7,3) { sorti1( j( skol1 ) ) }.
% 12.92/13.34 (18) {G1,W3,D3,L1,V0,M1} R(7,4) { sorti1( j( skol2 ) ) }.
% 12.92/13.34 (51) {G1,W6,D3,L2,V1,M2} R(1,3) { ! sorti2( X ), sorti2( op2( skol1, X ) )
% 12.92/13.34 }.
% 12.92/13.34 (76) {G2,W4,D3,L1,V0,M1} R(51,4) { sorti2( op2( skol1, skol2 ) ) }.
% 12.92/13.34 (84) {G3,W6,D4,L1,V0,M1} R(76,51) { sorti2( op2( skol1, op2( skol1, skol2 )
% 12.92/13.34 ) ) }.
% 12.92/13.34 (95) {G2,W11,D5,L2,V1,M2} R(2,18) { ! sorti1( X ), op1( X, op1( X, j( skol2
% 12.92/13.34 ) ) ) ==> j( skol2 ) }.
% 12.92/13.34 (233) {G1,W12,D4,L2,V1,M2} R(9,3) { ! sorti2( X ), op1( j( skol1 ), j( X )
% 12.92/13.34 ) ==> j( op2( skol1, X ) ) }.
% 12.92/13.34 (281) {G1,W5,D4,L1,V0,M1} R(10,4) { h( j( skol2 ) ) ==> skol2 }.
% 12.92/13.34 (34201) {G3,W14,D5,L1,V0,M1} R(233,76) { op1( j( skol1 ), j( op2( skol1,
% 12.92/13.34 skol2 ) ) ) ==> j( op2( skol1, op2( skol1, skol2 ) ) ) }.
% 12.92/13.34 (34203) {G2,W10,D4,L1,V0,M1} R(233,4) { op1( j( skol1 ), j( skol2 ) ) ==> j
% 12.92/13.34 ( op2( skol1, skol2 ) ) }.
% 12.92/13.34 (34206) {G4,W9,D5,L1,V0,M1} P(34203,95);d(34201);r(17) { j( op2( skol1, op2
% 12.92/13.34 ( skol1, skol2 ) ) ) ==> j( skol2 ) }.
% 12.92/13.34 (34210) {G5,W7,D4,L1,V0,M1} P(34206,10);d(281);r(84) { op2( skol1, op2(
% 12.92/13.34 skol1, skol2 ) ) ==> skol2 }.
% 12.92/13.34 (34211) {G6,W0,D0,L0,V0,M0} S(34210);r(5) { }.
% 12.92/13.34
% 12.92/13.34
% 12.92/13.34 % SZS output end Refutation
% 12.92/13.34 found a proof!
% 12.92/13.34
% 12.92/13.34
% 12.92/13.34 Unprocessed initial clauses:
% 12.92/13.34
% 12.92/13.34 (34213) {G0,W8,D3,L3,V2,M3} { ! sorti1( X ), ! sorti1( Y ), sorti1( op1( X
% 12.92/13.34 , Y ) ) }.
% 12.92/13.34 (34214) {G0,W8,D3,L3,V2,M3} { ! sorti2( X ), ! sorti2( Y ), sorti2( op2( X
% 12.92/13.34 , Y ) ) }.
% 12.92/13.34 (34215) {G0,W11,D4,L3,V2,M3} { ! sorti1( X ), ! sorti1( Y ), op1( X, op1(
% 12.92/13.34 X, Y ) ) = Y }.
% 12.92/13.34 (34216) {G0,W2,D2,L1,V0,M1} { sorti2( skol1 ) }.
% 12.92/13.34 (34217) {G0,W2,D2,L1,V0,M1} { sorti2( skol2 ) }.
% 12.92/13.34 (34218) {G0,W7,D4,L1,V0,M1} { ! op2( skol1, op2( skol1, skol2 ) ) = skol2
% 12.92/13.34 }.
% 12.92/13.34 (34219) {G0,W5,D3,L2,V1,M2} { ! sorti1( X ), sorti2( h( X ) ) }.
% 12.92/13.34 (34220) {G0,W5,D3,L2,V1,M2} { ! sorti2( X ), sorti1( j( X ) ) }.
% 12.92/13.34 (34221) {G0,W14,D4,L3,V2,M3} { ! sorti1( X ), ! sorti1( Y ), h( op1( X, Y
% 12.92/13.34 ) ) = op2( h( X ), h( Y ) ) }.
% 12.92/13.34 (34222) {G0,W14,D4,L3,V2,M3} { ! sorti2( X ), ! sorti2( Y ), j( op2( X, Y
% 12.92/13.34 ) ) = op1( j( X ), j( Y ) ) }.
% 12.92/13.34 (34223) {G0,W7,D4,L2,V1,M2} { ! sorti2( X ), h( j( X ) ) = X }.
% 12.92/13.34 (34224) {G0,W7,D4,L2,V1,M2} { ! sorti1( X ), j( h( X ) ) = X }.
% 12.92/13.34
% 12.92/13.34
% 12.92/13.34 Total Proof:
% 12.92/13.34
% 12.92/13.34 subsumption: (1) {G0,W8,D3,L3,V2,M3} I { ! sorti2( X ), ! sorti2( Y ),
% 12.92/13.34 sorti2( op2( X, Y ) ) }.
% 12.92/13.34 parent0: (34214) {G0,W8,D3,L3,V2,M3} { ! sorti2( X ), ! sorti2( Y ),
% 12.92/13.34 sorti2( op2( X, Y ) ) }.
% 12.92/13.34 substitution0:
% 12.92/13.34 X := X
% 12.92/13.34 Y := Y
% 12.92/13.34 end
% 12.92/13.34 permutation0:
% 12.92/13.34 0 ==> 0
% 12.92/13.34 1 ==> 1
% 12.92/13.34 2 ==> 2
% 12.92/13.34 end
% 12.92/13.34
% 12.92/13.34 subsumption: (2) {G0,W11,D4,L3,V2,M3} I { ! sorti1( X ), ! sorti1( Y ), op1
% 12.92/13.34 ( X, op1( X, Y ) ) ==> Y }.
% 12.92/13.34 parent0: (34215) {G0,W11,D4,L3,V2,M3} { ! sorti1( X ), ! sorti1( Y ), op1
% 12.92/13.34 ( X, op1( X, Y ) ) = Y }.
% 12.92/13.34 substitution0:
% 12.92/13.34 X := X
% 12.92/13.34 Y := Y
% 12.92/13.34 end
% 12.92/13.34 permutation0:
% 12.92/13.34 0 ==> 0
% 12.92/13.34 1 ==> 1
% 12.92/13.34 2 ==> 2
% 12.92/13.34 end
% 12.92/13.34
% 12.92/13.34 subsumption: (3) {G0,W2,D2,L1,V0,M1} I { sorti2( skol1 ) }.
% 12.92/13.34 parent0: (34216) {G0,W2,D2,L1,V0,M1} { sorti2( skol1 ) }.
% 12.92/13.34 substitution0:
% 12.92/13.34 end
% 12.92/13.34 permutation0:
% 12.92/13.34 0 ==> 0
% 12.92/13.34 end
% 12.92/13.34
% 12.92/13.34 subsumption: (4) {G0,W2,D2,L1,V0,M1} I { sorti2( skol2 ) }.
% 12.92/13.34 parent0: (34217) {G0,W2,D2,L1,V0,M1} { sorti2( skol2 ) }.
% 12.92/13.34 substitution0:
% 12.92/13.34 end
% 12.92/13.34 permutation0:
% 12.92/13.34 0 ==> 0
% 12.92/13.34 end
% 12.92/13.34
% 12.92/13.34 subsumption: (5) {G0,W7,D4,L1,V0,M1} I { ! op2( skol1, op2( skol1, skol2 )
% 12.92/13.34 ) ==> skol2 }.
% 12.92/13.34 parent0: (34218) {G0,W7,D4,L1,V0,M1} { ! op2( skol1, op2( skol1, skol2 ) )
% 12.92/13.34 = skol2 }.
% 12.92/13.34 substitution0:
% 12.92/13.34 end
% 12.92/13.34 permutation0:
% 12.92/13.34 0 ==> 0
% 12.92/13.34 end
% 12.92/13.34
% 12.92/13.34 subsumption: (7) {G0,W5,D3,L2,V1,M2} I { ! sorti2( X ), sorti1( j( X ) )
% 12.92/13.34 }.
% 12.92/13.34 parent0: (34220) {G0,W5,D3,L2,V1,M2} { ! sorti2( X ), sorti1( j( X ) ) }.
% 12.92/13.34 substitution0:
% 12.92/13.34 X := X
% 12.92/13.34 end
% 12.92/13.34 permutation0:
% 12.92/13.34 0 ==> 0
% 12.92/13.34 1 ==> 1
% 12.92/13.34 end
% 12.92/13.34
% 12.92/13.34 eqswap: (34263) {G0,W14,D4,L3,V2,M3} { op1( j( X ), j( Y ) ) = j( op2( X,
% 12.92/13.34 Y ) ), ! sorti2( X ), ! sorti2( Y ) }.
% 12.92/13.34 parent0[2]: (34222) {G0,W14,D4,L3,V2,M3} { ! sorti2( X ), ! sorti2( Y ), j
% 12.92/13.34 ( op2( X, Y ) ) = op1( j( X ), j( Y ) ) }.
% 12.92/13.34 substitution0:
% 12.92/13.34 X := X
% 12.92/13.34 Y := Y
% 12.92/13.34 end
% 12.92/13.34
% 12.92/13.34 subsumption: (9) {G0,W14,D4,L3,V2,M3} I { ! sorti2( X ), ! sorti2( Y ), op1
% 12.92/13.34 ( j( X ), j( Y ) ) ==> j( op2( X, Y ) ) }.
% 12.92/13.34 parent0: (34263) {G0,W14,D4,L3,V2,M3} { op1( j( X ), j( Y ) ) = j( op2( X
% 12.92/13.34 , Y ) ), ! sorti2( X ), ! sorti2( Y ) }.
% 12.92/13.34 substitution0:
% 12.92/13.34 X := X
% 12.92/13.34 Y := Y
% 12.92/13.34 end
% 12.92/13.34 permutation0:
% 12.92/13.34 0 ==> 2
% 12.92/13.34 1 ==> 0
% 12.92/13.34 2 ==> 1
% 12.92/13.34 end
% 12.92/13.34
% 12.92/13.34 subsumption: (10) {G0,W7,D4,L2,V1,M2} I { ! sorti2( X ), h( j( X ) ) ==> X
% 12.92/13.34 }.
% 12.92/13.34 parent0: (34223) {G0,W7,D4,L2,V1,M2} { ! sorti2( X ), h( j( X ) ) = X }.
% 12.92/13.34 substitution0:
% 12.92/13.34 X := X
% 12.92/13.34 end
% 12.92/13.34 permutation0:
% 12.92/13.34 0 ==> 0
% 12.92/13.34 1 ==> 1
% 12.92/13.34 end
% 12.92/13.34
% 12.92/13.34 resolution: (34279) {G1,W3,D3,L1,V0,M1} { sorti1( j( skol1 ) ) }.
% 12.92/13.34 parent0[0]: (7) {G0,W5,D3,L2,V1,M2} I { ! sorti2( X ), sorti1( j( X ) ) }.
% 12.92/13.34 parent1[0]: (3) {G0,W2,D2,L1,V0,M1} I { sorti2( skol1 ) }.
% 12.92/13.34 substitution0:
% 12.92/13.34 X := skol1
% 12.92/13.34 end
% 12.92/13.34 substitution1:
% 12.92/13.34 end
% 12.92/13.34
% 12.92/13.34 subsumption: (17) {G1,W3,D3,L1,V0,M1} R(7,3) { sorti1( j( skol1 ) ) }.
% 12.92/13.34 parent0: (34279) {G1,W3,D3,L1,V0,M1} { sorti1( j( skol1 ) ) }.
% 12.92/13.34 substitution0:
% 12.92/13.34 end
% 12.92/13.34 permutation0:
% 12.92/13.34 0 ==> 0
% 12.92/13.34 end
% 12.92/13.34
% 12.92/13.34 resolution: (34280) {G1,W3,D3,L1,V0,M1} { sorti1( j( skol2 ) ) }.
% 12.92/13.34 parent0[0]: (7) {G0,W5,D3,L2,V1,M2} I { ! sorti2( X ), sorti1( j( X ) ) }.
% 12.92/13.34 parent1[0]: (4) {G0,W2,D2,L1,V0,M1} I { sorti2( skol2 ) }.
% 12.92/13.34 substitution0:
% 12.92/13.34 X := skol2
% 12.92/13.34 end
% 12.92/13.34 substitution1:
% 12.92/13.34 end
% 12.92/13.34
% 12.92/13.34 subsumption: (18) {G1,W3,D3,L1,V0,M1} R(7,4) { sorti1( j( skol2 ) ) }.
% 12.92/13.34 parent0: (34280) {G1,W3,D3,L1,V0,M1} { sorti1( j( skol2 ) ) }.
% 12.92/13.34 substitution0:
% 12.92/13.34 end
% 12.92/13.34 permutation0:
% 12.92/13.34 0 ==> 0
% 12.92/13.34 end
% 12.92/13.34
% 12.92/13.34 resolution: (34281) {G1,W6,D3,L2,V1,M2} { ! sorti2( X ), sorti2( op2(
% 12.92/13.34 skol1, X ) ) }.
% 12.92/13.34 parent0[0]: (1) {G0,W8,D3,L3,V2,M3} I { ! sorti2( X ), ! sorti2( Y ),
% 12.92/13.34 sorti2( op2( X, Y ) ) }.
% 12.92/13.34 parent1[0]: (3) {G0,W2,D2,L1,V0,M1} I { sorti2( skol1 ) }.
% 12.92/13.34 substitution0:
% 12.92/13.34 X := skol1
% 12.92/13.34 Y := X
% 12.92/13.34 end
% 12.92/13.34 substitution1:
% 12.92/13.34 end
% 12.92/13.34
% 12.92/13.34 subsumption: (51) {G1,W6,D3,L2,V1,M2} R(1,3) { ! sorti2( X ), sorti2( op2(
% 12.92/13.34 skol1, X ) ) }.
% 12.92/13.34 parent0: (34281) {G1,W6,D3,L2,V1,M2} { ! sorti2( X ), sorti2( op2( skol1,
% 12.92/13.34 X ) ) }.
% 12.92/13.34 substitution0:
% 12.92/13.34 X := X
% 12.92/13.34 end
% 12.92/13.34 permutation0:
% 12.92/13.34 0 ==> 0
% 12.92/13.34 1 ==> 1
% 12.92/13.34 end
% 12.92/13.34
% 12.92/13.34 resolution: (34283) {G1,W4,D3,L1,V0,M1} { sorti2( op2( skol1, skol2 ) )
% 12.92/13.34 }.
% 12.92/13.34 parent0[0]: (51) {G1,W6,D3,L2,V1,M2} R(1,3) { ! sorti2( X ), sorti2( op2(
% 12.92/13.34 skol1, X ) ) }.
% 12.92/13.34 parent1[0]: (4) {G0,W2,D2,L1,V0,M1} I { sorti2( skol2 ) }.
% 12.92/13.34 substitution0:
% 12.92/13.34 X := skol2
% 12.92/13.34 end
% 12.92/13.34 substitution1:
% 12.92/13.34 end
% 12.92/13.34
% 12.92/13.34 subsumption: (76) {G2,W4,D3,L1,V0,M1} R(51,4) { sorti2( op2( skol1, skol2 )
% 12.92/13.34 ) }.
% 12.92/13.34 parent0: (34283) {G1,W4,D3,L1,V0,M1} { sorti2( op2( skol1, skol2 ) ) }.
% 12.92/13.34 substitution0:
% 12.92/13.34 end
% 12.92/13.34 permutation0:
% 12.92/13.34 0 ==> 0
% 12.92/13.34 end
% 12.92/13.34
% 12.92/13.34 resolution: (34284) {G2,W6,D4,L1,V0,M1} { sorti2( op2( skol1, op2( skol1,
% 12.92/13.34 skol2 ) ) ) }.
% 12.92/13.34 parent0[0]: (51) {G1,W6,D3,L2,V1,M2} R(1,3) { ! sorti2( X ), sorti2( op2(
% 12.92/13.34 skol1, X ) ) }.
% 12.92/13.34 parent1[0]: (76) {G2,W4,D3,L1,V0,M1} R(51,4) { sorti2( op2( skol1, skol2 )
% 12.92/13.34 ) }.
% 12.92/13.34 substitution0:
% 12.92/13.34 X := op2( skol1, skol2 )
% 12.92/13.34 end
% 12.92/13.34 substitution1:
% 12.92/13.34 end
% 12.92/13.34
% 12.92/13.34 subsumption: (84) {G3,W6,D4,L1,V0,M1} R(76,51) { sorti2( op2( skol1, op2(
% 12.92/13.34 skol1, skol2 ) ) ) }.
% 12.92/13.34 parent0: (34284) {G2,W6,D4,L1,V0,M1} { sorti2( op2( skol1, op2( skol1,
% 12.92/13.34 skol2 ) ) ) }.
% 12.92/13.34 substitution0:
% 12.92/13.34 end
% 12.92/13.34 permutation0:
% 12.92/13.34 0 ==> 0
% 12.92/13.34 end
% 12.92/13.34
% 12.92/13.34 eqswap: (34285) {G0,W11,D4,L3,V2,M3} { Y ==> op1( X, op1( X, Y ) ), !
% 12.92/13.34 sorti1( X ), ! sorti1( Y ) }.
% 12.92/13.34 parent0[2]: (2) {G0,W11,D4,L3,V2,M3} I { ! sorti1( X ), ! sorti1( Y ), op1
% 12.92/13.34 ( X, op1( X, Y ) ) ==> Y }.
% 12.92/13.34 substitution0:
% 12.92/13.34 X := X
% 12.92/13.34 Y := Y
% 12.92/13.34 end
% 12.92/13.34
% 12.92/13.34 resolution: (34287) {G1,W11,D5,L2,V1,M2} { j( skol2 ) ==> op1( X, op1( X,
% 12.92/13.34 j( skol2 ) ) ), ! sorti1( X ) }.
% 12.92/13.34 parent0[2]: (34285) {G0,W11,D4,L3,V2,M3} { Y ==> op1( X, op1( X, Y ) ), !
% 12.92/13.34 sorti1( X ), ! sorti1( Y ) }.
% 12.92/13.34 parent1[0]: (18) {G1,W3,D3,L1,V0,M1} R(7,4) { sorti1( j( skol2 ) ) }.
% 12.92/13.34 substitution0:
% 12.92/13.34 X := X
% 12.92/13.34 Y := j( skol2 )
% 12.92/13.34 end
% 12.92/13.34 substitution1:
% 12.92/13.34 end
% 12.92/13.34
% 12.92/13.34 eqswap: (34288) {G1,W11,D5,L2,V1,M2} { op1( X, op1( X, j( skol2 ) ) ) ==>
% 12.92/13.34 j( skol2 ), ! sorti1( X ) }.
% 12.92/13.34 parent0[0]: (34287) {G1,W11,D5,L2,V1,M2} { j( skol2 ) ==> op1( X, op1( X,
% 12.92/13.34 j( skol2 ) ) ), ! sorti1( X ) }.
% 12.92/13.34 substitution0:
% 12.92/13.34 X := X
% 12.92/13.34 end
% 12.92/13.34
% 12.92/13.34 subsumption: (95) {G2,W11,D5,L2,V1,M2} R(2,18) { ! sorti1( X ), op1( X, op1
% 12.92/13.34 ( X, j( skol2 ) ) ) ==> j( skol2 ) }.
% 12.92/13.34 parent0: (34288) {G1,W11,D5,L2,V1,M2} { op1( X, op1( X, j( skol2 ) ) ) ==>
% 12.92/13.34 j( skol2 ), ! sorti1( X ) }.
% 12.92/13.34 substitution0:
% 12.92/13.34 X := X
% 12.92/13.34 end
% 12.92/13.34 permutation0:
% 12.92/13.34 0 ==> 1
% 12.92/13.34 1 ==> 0
% 12.92/13.34 end
% 12.92/13.34
% 12.92/13.34 eqswap: (34290) {G0,W14,D4,L3,V2,M3} { j( op2( X, Y ) ) ==> op1( j( X ), j
% 12.92/13.34 ( Y ) ), ! sorti2( X ), ! sorti2( Y ) }.
% 12.92/13.34 parent0[2]: (9) {G0,W14,D4,L3,V2,M3} I { ! sorti2( X ), ! sorti2( Y ), op1
% 12.92/13.34 ( j( X ), j( Y ) ) ==> j( op2( X, Y ) ) }.
% 12.92/13.34 substitution0:
% 12.92/13.34 X := X
% 12.92/13.34 Y := Y
% 12.92/13.34 end
% 12.92/13.34
% 12.92/13.34 resolution: (34291) {G1,W12,D4,L2,V1,M2} { j( op2( skol1, X ) ) ==> op1( j
% 12.92/13.34 ( skol1 ), j( X ) ), ! sorti2( X ) }.
% 12.92/13.34 parent0[1]: (34290) {G0,W14,D4,L3,V2,M3} { j( op2( X, Y ) ) ==> op1( j( X
% 12.92/13.34 ), j( Y ) ), ! sorti2( X ), ! sorti2( Y ) }.
% 12.92/13.34 parent1[0]: (3) {G0,W2,D2,L1,V0,M1} I { sorti2( skol1 ) }.
% 12.92/13.34 substitution0:
% 12.92/13.34 X := skol1
% 12.92/13.34 Y := X
% 12.92/13.34 end
% 12.92/13.34 substitution1:
% 12.92/13.34 end
% 12.92/13.34
% 12.92/13.34 eqswap: (34294) {G1,W12,D4,L2,V1,M2} { op1( j( skol1 ), j( X ) ) ==> j(
% 12.92/13.34 op2( skol1, X ) ), ! sorti2( X ) }.
% 12.92/13.34 parent0[0]: (34291) {G1,W12,D4,L2,V1,M2} { j( op2( skol1, X ) ) ==> op1( j
% 12.92/13.34 ( skol1 ), j( X ) ), ! sorti2( X ) }.
% 12.92/13.34 substitution0:
% 12.92/13.34 X := X
% 12.92/13.34 end
% 12.92/13.34
% 12.92/13.34 subsumption: (233) {G1,W12,D4,L2,V1,M2} R(9,3) { ! sorti2( X ), op1( j(
% 12.92/13.34 skol1 ), j( X ) ) ==> j( op2( skol1, X ) ) }.
% 12.92/13.34 parent0: (34294) {G1,W12,D4,L2,V1,M2} { op1( j( skol1 ), j( X ) ) ==> j(
% 12.92/13.34 op2( skol1, X ) ), ! sorti2( X ) }.
% 12.92/13.34 substitution0:
% 12.92/13.34 X := X
% 12.92/13.34 end
% 12.92/13.34 permutation0:
% 12.92/13.34 0 ==> 1
% 12.92/13.34 1 ==> 0
% 12.92/13.34 end
% 12.92/13.34
% 12.92/13.34 eqswap: (34295) {G0,W7,D4,L2,V1,M2} { X ==> h( j( X ) ), ! sorti2( X ) }.
% 12.92/13.34 parent0[1]: (10) {G0,W7,D4,L2,V1,M2} I { ! sorti2( X ), h( j( X ) ) ==> X
% 12.92/13.34 }.
% 12.92/13.34 substitution0:
% 12.92/13.34 X := X
% 12.92/13.34 end
% 12.92/13.34
% 12.92/13.34 resolution: (34296) {G1,W5,D4,L1,V0,M1} { skol2 ==> h( j( skol2 ) ) }.
% 12.92/13.34 parent0[1]: (34295) {G0,W7,D4,L2,V1,M2} { X ==> h( j( X ) ), ! sorti2( X )
% 12.92/13.34 }.
% 12.92/13.34 parent1[0]: (4) {G0,W2,D2,L1,V0,M1} I { sorti2( skol2 ) }.
% 12.92/13.34 substitution0:
% 12.92/13.34 X := skol2
% 12.92/13.34 end
% 12.92/13.34 substitution1:
% 12.92/13.34 end
% 12.92/13.34
% 12.92/13.34 eqswap: (34297) {G1,W5,D4,L1,V0,M1} { h( j( skol2 ) ) ==> skol2 }.
% 12.92/13.34 parent0[0]: (34296) {G1,W5,D4,L1,V0,M1} { skol2 ==> h( j( skol2 ) ) }.
% 12.92/13.34 substitution0:
% 12.92/13.34 end
% 12.92/13.34
% 12.92/13.34 subsumption: (281) {G1,W5,D4,L1,V0,M1} R(10,4) { h( j( skol2 ) ) ==> skol2
% 12.92/13.34 }.
% 12.92/13.34 parent0: (34297) {G1,W5,D4,L1,V0,M1} { h( j( skol2 ) ) ==> skol2 }.
% 12.92/13.34 substitution0:
% 12.92/13.34 end
% 12.92/13.34 permutation0:
% 12.92/13.34 0 ==> 0
% 12.92/13.34 end
% 12.92/13.34
% 12.92/13.34 eqswap: (34298) {G1,W12,D4,L2,V1,M2} { j( op2( skol1, X ) ) ==> op1( j(
% 12.92/13.34 skol1 ), j( X ) ), ! sorti2( X ) }.
% 12.92/13.34 parent0[1]: (233) {G1,W12,D4,L2,V1,M2} R(9,3) { ! sorti2( X ), op1( j(
% 12.92/13.34 skol1 ), j( X ) ) ==> j( op2( skol1, X ) ) }.
% 12.92/13.34 substitution0:
% 12.92/13.34 X := X
% 12.92/13.34 end
% 12.92/13.34
% 12.92/13.34 resolution: (34299) {G2,W14,D5,L1,V0,M1} { j( op2( skol1, op2( skol1,
% 12.92/13.34 skol2 ) ) ) ==> op1( j( skol1 ), j( op2( skol1, skol2 ) ) ) }.
% 12.92/13.34 parent0[1]: (34298) {G1,W12,D4,L2,V1,M2} { j( op2( skol1, X ) ) ==> op1( j
% 12.92/13.34 ( skol1 ), j( X ) ), ! sorti2( X ) }.
% 12.92/13.34 parent1[0]: (76) {G2,W4,D3,L1,V0,M1} R(51,4) { sorti2( op2( skol1, skol2 )
% 12.92/13.34 ) }.
% 12.92/13.34 substitution0:
% 12.92/13.34 X := op2( skol1, skol2 )
% 12.92/13.34 end
% 12.92/13.34 substitution1:
% 12.92/13.34 end
% 12.92/13.34
% 12.92/13.34 eqswap: (34300) {G2,W14,D5,L1,V0,M1} { op1( j( skol1 ), j( op2( skol1,
% 12.92/13.34 skol2 ) ) ) ==> j( op2( skol1, op2( skol1, skol2 ) ) ) }.
% 12.92/13.34 parent0[0]: (34299) {G2,W14,D5,L1,V0,M1} { j( op2( skol1, op2( skol1,
% 12.92/13.34 skol2 ) ) ) ==> op1( j( skol1 ), j( op2( skol1, skol2 ) ) ) }.
% 12.92/13.34 substitution0:
% 12.92/13.34 end
% 12.92/13.34
% 12.92/13.34 subsumption: (34201) {G3,W14,D5,L1,V0,M1} R(233,76) { op1( j( skol1 ), j(
% 12.92/13.34 op2( skol1, skol2 ) ) ) ==> j( op2( skol1, op2( skol1, skol2 ) ) ) }.
% 12.92/13.34 parent0: (34300) {G2,W14,D5,L1,V0,M1} { op1( j( skol1 ), j( op2( skol1,
% 12.92/13.34 skol2 ) ) ) ==> j( op2( skol1, op2( skol1, skol2 ) ) ) }.
% 12.92/13.34 substitution0:
% 12.92/13.34 end
% 12.92/13.34 permutation0:
% 12.92/13.34 0 ==> 0
% 12.92/13.34 end
% 12.92/13.34
% 12.92/13.34 eqswap: (34301) {G1,W12,D4,L2,V1,M2} { j( op2( skol1, X ) ) ==> op1( j(
% 12.92/13.34 skol1 ), j( X ) ), ! sorti2( X ) }.
% 12.92/13.34 parent0[1]: (233) {G1,W12,D4,L2,V1,M2} R(9,3) { ! sorti2( X ), op1( j(
% 12.92/13.34 skol1 ), j( X ) ) ==> j( op2( skol1, X ) ) }.
% 12.92/13.34 substitution0:
% 12.92/13.34 X := X
% 12.92/13.34 end
% 12.92/13.34
% 12.92/13.34 resolution: (34302) {G1,W10,D4,L1,V0,M1} { j( op2( skol1, skol2 ) ) ==>
% 12.92/13.34 op1( j( skol1 ), j( skol2 ) ) }.
% 12.92/13.34 parent0[1]: (34301) {G1,W12,D4,L2,V1,M2} { j( op2( skol1, X ) ) ==> op1( j
% 12.92/13.34 ( skol1 ), j( X ) ), ! sorti2( X ) }.
% 12.92/13.34 parent1[0]: (4) {G0,W2,D2,L1,V0,M1} I { sorti2( skol2 ) }.
% 12.92/13.34 substitution0:
% 12.92/13.34 X := skol2
% 12.92/13.34 end
% 12.92/13.34 substitution1:
% 12.92/13.34 end
% 12.92/13.34
% 12.92/13.34 eqswap: (34303) {G1,W10,D4,L1,V0,M1} { op1( j( skol1 ), j( skol2 ) ) ==> j
% 12.92/13.34 ( op2( skol1, skol2 ) ) }.
% 12.92/13.34 parent0[0]: (34302) {G1,W10,D4,L1,V0,M1} { j( op2( skol1, skol2 ) ) ==>
% 12.92/13.34 op1( j( skol1 ), j( skol2 ) ) }.
% 12.92/13.34 substitution0:
% 12.92/13.34 end
% 12.92/13.34
% 12.92/13.34 subsumption: (34203) {G2,W10,D4,L1,V0,M1} R(233,4) { op1( j( skol1 ), j(
% 12.92/13.34 skol2 ) ) ==> j( op2( skol1, skol2 ) ) }.
% 12.92/13.34 parent0: (34303) {G1,W10,D4,L1,V0,M1} { op1( j( skol1 ), j( skol2 ) ) ==>
% 12.92/13.34 j( op2( skol1, skol2 ) ) }.
% 12.92/13.34 substitution0:
% 12.92/13.34 end
% 12.92/13.34 permutation0:
% 12.92/13.34 0 ==> 0
% 12.92/13.34 end
% 12.92/13.34
% 12.92/13.34 eqswap: (34305) {G2,W11,D5,L2,V1,M2} { j( skol2 ) ==> op1( X, op1( X, j(
% 12.92/13.34 skol2 ) ) ), ! sorti1( X ) }.
% 12.92/13.34 parent0[1]: (95) {G2,W11,D5,L2,V1,M2} R(2,18) { ! sorti1( X ), op1( X, op1
% 12.92/13.34 ( X, j( skol2 ) ) ) ==> j( skol2 ) }.
% 12.92/13.34 substitution0:
% 12.92/13.34 X := X
% 12.92/13.34 end
% 12.92/13.34
% 12.92/13.34 paramod: (34307) {G3,W13,D5,L2,V0,M2} { j( skol2 ) ==> op1( j( skol1 ), j
% 12.92/13.34 ( op2( skol1, skol2 ) ) ), ! sorti1( j( skol1 ) ) }.
% 12.92/13.34 parent0[0]: (34203) {G2,W10,D4,L1,V0,M1} R(233,4) { op1( j( skol1 ), j(
% 12.92/13.34 skol2 ) ) ==> j( op2( skol1, skol2 ) ) }.
% 12.92/13.34 parent1[0; 6]: (34305) {G2,W11,D5,L2,V1,M2} { j( skol2 ) ==> op1( X, op1(
% 12.92/13.34 X, j( skol2 ) ) ), ! sorti1( X ) }.
% 12.92/13.34 substitution0:
% 12.92/13.34 end
% 12.92/13.34 substitution1:
% 12.92/13.34 X := j( skol1 )
% 12.92/13.34 end
% 12.92/13.34
% 12.92/13.34 paramod: (34308) {G4,W12,D5,L2,V0,M2} { j( skol2 ) ==> j( op2( skol1, op2
% 12.92/13.34 ( skol1, skol2 ) ) ), ! sorti1( j( skol1 ) ) }.
% 12.92/13.34 parent0[0]: (34201) {G3,W14,D5,L1,V0,M1} R(233,76) { op1( j( skol1 ), j(
% 12.92/13.34 op2( skol1, skol2 ) ) ) ==> j( op2( skol1, op2( skol1, skol2 ) ) ) }.
% 12.92/13.34 parent1[0; 3]: (34307) {G3,W13,D5,L2,V0,M2} { j( skol2 ) ==> op1( j( skol1
% 12.92/13.34 ), j( op2( skol1, skol2 ) ) ), ! sorti1( j( skol1 ) ) }.
% 12.92/13.34 substitution0:
% 12.92/13.34 end
% 12.92/13.34 substitution1:
% 12.92/13.34 end
% 12.92/13.34
% 12.92/13.34 resolution: (34309) {G2,W9,D5,L1,V0,M1} { j( skol2 ) ==> j( op2( skol1,
% 12.92/13.34 op2( skol1, skol2 ) ) ) }.
% 12.92/13.34 parent0[1]: (34308) {G4,W12,D5,L2,V0,M2} { j( skol2 ) ==> j( op2( skol1,
% 12.92/13.34 op2( skol1, skol2 ) ) ), ! sorti1( j( skol1 ) ) }.
% 12.92/13.34 parent1[0]: (17) {G1,W3,D3,L1,V0,M1} R(7,3) { sorti1( j( skol1 ) ) }.
% 12.92/13.34 substitution0:
% 12.92/13.34 end
% 12.92/13.34 substitution1:
% 12.92/13.34 end
% 12.92/13.34
% 12.92/13.34 eqswap: (34310) {G2,W9,D5,L1,V0,M1} { j( op2( skol1, op2( skol1, skol2 ) )
% 12.92/13.34 ) ==> j( skol2 ) }.
% 12.92/13.34 parent0[0]: (34309) {G2,W9,D5,L1,V0,M1} { j( skol2 ) ==> j( op2( skol1,
% 12.92/13.34 op2( skol1, skol2 ) ) ) }.
% 12.92/13.34 substitution0:
% 12.92/13.34 end
% 12.92/13.34
% 12.92/13.34 subsumption: (34206) {G4,W9,D5,L1,V0,M1} P(34203,95);d(34201);r(17) { j(
% 12.92/13.34 op2( skol1, op2( skol1, skol2 ) ) ) ==> j( skol2 ) }.
% 12.92/13.34 parent0: (34310) {G2,W9,D5,L1,V0,M1} { j( op2( skol1, op2( skol1, skol2 )
% 12.92/13.34 ) ) ==> j( skol2 ) }.
% 12.92/13.34 substitution0:
% 12.92/13.34 end
% 12.92/13.34 permutation0:
% 12.92/13.34 0 ==> 0
% 12.92/13.34 end
% 12.92/13.34
% 12.92/13.34 eqswap: (34312) {G0,W7,D4,L2,V1,M2} { X ==> h( j( X ) ), ! sorti2( X ) }.
% 12.92/13.34 parent0[1]: (10) {G0,W7,D4,L2,V1,M2} I { ! sorti2( X ), h( j( X ) ) ==> X
% 12.92/13.34 }.
% 12.92/13.34 substitution0:
% 12.92/13.34 X := X
% 12.92/13.34 end
% 12.92/13.34
% 12.92/13.34 paramod: (34314) {G1,W15,D4,L2,V0,M2} { op2( skol1, op2( skol1, skol2 ) )
% 12.92/13.34 ==> h( j( skol2 ) ), ! sorti2( op2( skol1, op2( skol1, skol2 ) ) ) }.
% 12.92/13.34 parent0[0]: (34206) {G4,W9,D5,L1,V0,M1} P(34203,95);d(34201);r(17) { j( op2
% 12.92/13.34 ( skol1, op2( skol1, skol2 ) ) ) ==> j( skol2 ) }.
% 12.92/13.34 parent1[0; 7]: (34312) {G0,W7,D4,L2,V1,M2} { X ==> h( j( X ) ), ! sorti2(
% 12.92/13.34 X ) }.
% 12.92/13.34 substitution0:
% 12.92/13.34 end
% 12.92/13.34 substitution1:
% 12.92/13.34 X := op2( skol1, op2( skol1, skol2 ) )
% 12.92/13.34 end
% 12.92/13.34
% 12.92/13.34 paramod: (34315) {G2,W13,D4,L2,V0,M2} { op2( skol1, op2( skol1, skol2 ) )
% 12.92/13.34 ==> skol2, ! sorti2( op2( skol1, op2( skol1, skol2 ) ) ) }.
% 12.92/13.34 parent0[0]: (281) {G1,W5,D4,L1,V0,M1} R(10,4) { h( j( skol2 ) ) ==> skol2
% 12.92/13.34 }.
% 12.92/13.34 parent1[0; 6]: (34314) {G1,W15,D4,L2,V0,M2} { op2( skol1, op2( skol1,
% 12.92/13.34 skol2 ) ) ==> h( j( skol2 ) ), ! sorti2( op2( skol1, op2( skol1, skol2 )
% 12.92/13.34 ) ) }.
% 12.92/13.34 substitution0:
% 12.92/13.34 end
% 12.92/13.34 substitution1:
% 12.92/13.34 end
% 12.92/13.34
% 12.92/13.34 resolution: (34316) {G3,W7,D4,L1,V0,M1} { op2( skol1, op2( skol1, skol2 )
% 12.92/13.34 ) ==> skol2 }.
% 12.92/13.34 parent0[1]: (34315) {G2,W13,D4,L2,V0,M2} { op2( skol1, op2( skol1, skol2 )
% 12.92/13.34 ) ==> skol2, ! sorti2( op2( skol1, op2( skol1, skol2 ) ) ) }.
% 12.92/13.34 parent1[0]: (84) {G3,W6,D4,L1,V0,M1} R(76,51) { sorti2( op2( skol1, op2(
% 12.92/13.34 skol1, skol2 ) ) ) }.
% 12.92/13.34 substitution0:
% 12.92/13.34 end
% 12.92/13.34 substitution1:
% 12.92/13.34 end
% 12.92/13.34
% 12.92/13.34 subsumption: (34210) {G5,W7,D4,L1,V0,M1} P(34206,10);d(281);r(84) { op2(
% 12.92/13.34 skol1, op2( skol1, skol2 ) ) ==> skol2 }.
% 12.92/13.34 parent0: (34316) {G3,W7,D4,L1,V0,M1} { op2( skol1, op2( skol1, skol2 ) )
% 12.92/13.34 ==> skol2 }.
% 12.92/13.34 substitution0:
% 12.92/13.34 end
% 12.92/13.34 permutation0:
% 12.92/13.34 0 ==> 0
% 12.92/13.34 end
% 12.92/13.34
% 12.92/13.34 resolution: (34320) {G1,W0,D0,L0,V0,M0} { }.
% 12.92/13.34 parent0[0]: (5) {G0,W7,D4,L1,V0,M1} I { ! op2( skol1, op2( skol1, skol2 ) )
% 12.92/13.34 ==> skol2 }.
% 12.92/13.34 parent1[0]: (34210) {G5,W7,D4,L1,V0,M1} P(34206,10);d(281);r(84) { op2(
% 12.92/13.34 skol1, op2( skol1, skol2 ) ) ==> skol2 }.
% 12.92/13.34 substitution0:
% 12.92/13.34 end
% 12.92/13.34 substitution1:
% 12.92/13.34 end
% 12.92/13.34
% 12.92/13.34 subsumption: (34211) {G6,W0,D0,L0,V0,M0} S(34210);r(5) { }.
% 12.92/13.34 parent0: (34320) {G1,W0,D0,L0,V0,M0} { }.
% 12.92/13.34 substitution0:
% 12.92/13.34 end
% 12.92/13.34 permutation0:
% 12.92/13.34 end
% 12.92/13.34
% 12.92/13.34 Proof check complete!
% 12.92/13.34
% 12.92/13.34 Memory use:
% 12.92/13.34
% 12.92/13.34 space for terms: 483224
% 12.92/13.34 space for clauses: 1817902
% 12.92/13.34
% 12.92/13.34
% 12.92/13.34 clauses generated: 84088
% 12.92/13.34 clauses kept: 34212
% 12.92/13.34 clauses selected: 526
% 12.92/13.34 clauses deleted: 687
% 12.92/13.34 clauses inuse deleted: 25
% 12.92/13.34
% 12.92/13.34 subsentry: 338553
% 12.92/13.34 literals s-matched: 90080
% 12.92/13.34 literals matched: 90080
% 12.92/13.34 full subsumption: 31461
% 12.92/13.34
% 12.92/13.34 checksum: -288080660
% 12.92/13.34
% 12.92/13.34
% 12.92/13.34 Bliksem ended
%------------------------------------------------------------------------------