TSTP Solution File: GRP012+5 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP012+5 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n012.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 : Sat Jul 16 07:34:18 EDT 2022
% Result : Theorem 2.14s 2.55s
% Output : Refutation 2.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP012+5 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Tue Jun 14 13:45:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 2.14/2.55 *** allocated 10000 integers for termspace/termends
% 2.14/2.55 *** allocated 10000 integers for clauses
% 2.14/2.55 *** allocated 10000 integers for justifications
% 2.14/2.55 Bliksem 1.12
% 2.14/2.55
% 2.14/2.55
% 2.14/2.55 Automatic Strategy Selection
% 2.14/2.55
% 2.14/2.55
% 2.14/2.55 Clauses:
% 2.14/2.55
% 2.14/2.55 { product( X, Y, skol2( X, Y ) ) }.
% 2.14/2.55 { ! product( X, T, U ), ! product( T, W, Y ), ! product( U, W, Z ), product
% 2.14/2.55 ( X, Y, Z ) }.
% 2.14/2.55 { ! product( T, U, Y ), ! product( U, X, W ), ! product( T, W, Z ), product
% 2.14/2.55 ( Y, X, Z ) }.
% 2.14/2.55 { product( X, skol1, X ) }.
% 2.14/2.55 { product( skol1, X, X ) }.
% 2.14/2.55 { product( X, inverse( X ), skol1 ) }.
% 2.14/2.55 { product( inverse( X ), X, skol1 ) }.
% 2.14/2.55 { product( inverse( skol5 ), inverse( skol6 ), skol3 ) }.
% 2.14/2.55 { product( skol6, skol5, skol4 ) }.
% 2.14/2.55 { ! product( inverse( skol3 ), inverse( skol4 ), skol1 ) }.
% 2.14/2.55
% 2.14/2.55 percentage equality = 0.000000, percentage horn = 1.000000
% 2.14/2.55 This is a near-Horn, non-equality problem
% 2.14/2.55
% 2.14/2.55
% 2.14/2.55 Options Used:
% 2.14/2.55
% 2.14/2.55 useres = 1
% 2.14/2.55 useparamod = 0
% 2.14/2.55 useeqrefl = 0
% 2.14/2.55 useeqfact = 0
% 2.14/2.55 usefactor = 1
% 2.14/2.55 usesimpsplitting = 0
% 2.14/2.55 usesimpdemod = 0
% 2.14/2.55 usesimpres = 4
% 2.14/2.55
% 2.14/2.55 resimpinuse = 1000
% 2.14/2.55 resimpclauses = 20000
% 2.14/2.55 substype = standard
% 2.14/2.55 backwardsubs = 1
% 2.14/2.55 selectoldest = 5
% 2.14/2.55
% 2.14/2.55 litorderings [0] = split
% 2.14/2.55 litorderings [1] = liftord
% 2.14/2.55
% 2.14/2.55 termordering = none
% 2.14/2.55
% 2.14/2.55 litapriori = 1
% 2.14/2.55 termapriori = 0
% 2.14/2.55 litaposteriori = 0
% 2.14/2.55 termaposteriori = 0
% 2.14/2.55 demodaposteriori = 0
% 2.14/2.55 ordereqreflfact = 0
% 2.14/2.55
% 2.14/2.55 litselect = negative
% 2.14/2.55
% 2.14/2.55 maxweight = 30000
% 2.14/2.55 maxdepth = 30000
% 2.14/2.55 maxlength = 115
% 2.14/2.55 maxnrvars = 195
% 2.14/2.55 excuselevel = 0
% 2.14/2.55 increasemaxweight = 0
% 2.14/2.55
% 2.14/2.55 maxselected = 10000000
% 2.14/2.55 maxnrclauses = 10000000
% 2.14/2.55
% 2.14/2.55 showgenerated = 0
% 2.14/2.55 showkept = 0
% 2.14/2.55 showselected = 0
% 2.14/2.55 showdeleted = 0
% 2.14/2.55 showresimp = 1
% 2.14/2.55 showstatus = 2000
% 2.14/2.55
% 2.14/2.55 prologoutput = 0
% 2.14/2.55 nrgoals = 5000000
% 2.14/2.55 totalproof = 1
% 2.14/2.55
% 2.14/2.55 Symbols occurring in the translation:
% 2.14/2.55
% 2.14/2.55 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.14/2.55 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 2.14/2.55 ! [4, 1] (w:1, o:18, a:1, s:1, b:0),
% 2.14/2.55 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.14/2.55 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.14/2.55 product [39, 3] (w:1, o:49, a:1, s:1, b:0),
% 2.14/2.55 inverse [43, 1] (w:1, o:23, a:1, s:1, b:0),
% 2.14/2.55 skol1 [44, 0] (w:1, o:13, a:1, s:1, b:0),
% 2.14/2.55 skol2 [45, 2] (w:1, o:48, a:1, s:1, b:0),
% 2.14/2.55 skol3 [46, 0] (w:1, o:14, a:1, s:1, b:0),
% 2.14/2.55 skol4 [47, 0] (w:1, o:15, a:1, s:1, b:0),
% 2.14/2.55 skol5 [48, 0] (w:1, o:16, a:1, s:1, b:0),
% 2.14/2.55 skol6 [49, 0] (w:1, o:17, a:1, s:1, b:0).
% 2.14/2.55
% 2.14/2.55
% 2.14/2.55 Starting Search:
% 2.14/2.55
% 2.14/2.55 *** allocated 15000 integers for clauses
% 2.14/2.55 *** allocated 22500 integers for clauses
% 2.14/2.55 *** allocated 33750 integers for clauses
% 2.14/2.55 *** allocated 50625 integers for clauses
% 2.14/2.55 *** allocated 15000 integers for termspace/termends
% 2.14/2.55 *** allocated 75937 integers for clauses
% 2.14/2.55 Resimplifying inuse:
% 2.14/2.55 Done
% 2.14/2.55
% 2.14/2.55 *** allocated 22500 integers for termspace/termends
% 2.14/2.55 *** allocated 113905 integers for clauses
% 2.14/2.55 *** allocated 33750 integers for termspace/termends
% 2.14/2.55 *** allocated 170857 integers for clauses
% 2.14/2.55
% 2.14/2.55 Intermediate Status:
% 2.14/2.55 Generated: 3034
% 2.14/2.55 Kept: 2011
% 2.14/2.55 Inuse: 165
% 2.14/2.55 Deleted: 22
% 2.14/2.55 Deletedinuse: 12
% 2.14/2.55
% 2.14/2.55 Resimplifying inuse:
% 2.14/2.55 Done
% 2.14/2.55
% 2.14/2.55 *** allocated 50625 integers for termspace/termends
% 2.14/2.55 *** allocated 256285 integers for clauses
% 2.14/2.55 Resimplifying inuse:
% 2.14/2.55 Done
% 2.14/2.55
% 2.14/2.55 *** allocated 75937 integers for termspace/termends
% 2.14/2.55
% 2.14/2.55 Intermediate Status:
% 2.14/2.55 Generated: 6206
% 2.14/2.55 Kept: 4029
% 2.14/2.55 Inuse: 259
% 2.14/2.55 Deleted: 49
% 2.14/2.55 Deletedinuse: 29
% 2.14/2.55
% 2.14/2.55 Resimplifying inuse:
% 2.14/2.55 Done
% 2.14/2.55
% 2.14/2.55 *** allocated 384427 integers for clauses
% 2.14/2.55 Resimplifying inuse:
% 2.14/2.55 Done
% 2.14/2.55
% 2.14/2.55 *** allocated 113905 integers for termspace/termends
% 2.14/2.55
% 2.14/2.55 Intermediate Status:
% 2.14/2.55 Generated: 8839
% 2.14/2.55 Kept: 6030
% 2.14/2.55 Inuse: 332
% 2.14/2.55 Deleted: 66
% 2.14/2.55 Deletedinuse: 30
% 2.14/2.55
% 2.14/2.55 Resimplifying inuse:
% 2.14/2.55 Done
% 2.14/2.55
% 2.14/2.55 *** allocated 576640 integers for clauses
% 2.14/2.55 Resimplifying inuse:
% 2.14/2.55 Done
% 2.14/2.55
% 2.14/2.55 *** allocated 170857 integers for termspace/termends
% 2.14/2.55
% 2.14/2.55 Intermediate Status:
% 2.14/2.55 Generated: 11673
% 2.14/2.55 Kept: 8040
% 2.14/2.55 Inuse: 407
% 2.14/2.55 Deleted: 76
% 2.14/2.55 Deletedinuse: 31
% 2.14/2.55
% 2.14/2.55 Resimplifying inuse:
% 2.14/2.55 Done
% 2.14/2.55
% 2.14/2.55 Resimplifying inuse:
% 2.14/2.55 Done
% 2.14/2.55
% 2.14/2.55
% 2.14/2.55 Intermediate Status:
% 2.14/2.55 Generated: 14474
% 2.14/2.55 Kept: 10068
% 2.14/2.55 Inuse: 479
% 2.14/2.55 Deleted: 85
% 2.14/2.55 Deletedinuse: 33
% 2.14/2.55
% 2.14/2.55 Resimplifying inuse:
% 2.14/2.55 Done
% 2.14/2.55
% 2.14/2.55 *** allocated 864960 integers for clauses
% 2.14/2.55 Resimplifying inuse:
% 2.14/2.55 Done
% 2.14/2.55
% 2.14/2.55 *** allocated 256285 integers for termspace/termends
% 2.14/2.55
% 2.14/2.55 Intermediate Status:
% 2.14/2.55 Generated: 17085
% 2.14/2.55 Kept: 12099
% 2.14/2.55 Inuse: 531
% 2.14/2.55 Deleted: 88
% 2.14/2.55 Deletedinuse: 33
% 2.14/2.55
% 2.14/2.55 Resimplifying inuse:
% 2.14/2.55 Done
% 2.14/2.55
% 2.14/2.55 Resimplifying inuse:
% 2.14/2.55 Done
% 2.14/2.55
% 2.14/2.55
% 2.14/2.55 Intermediate Status:
% 2.14/2.55 Generated: 19672
% 2.14/2.55 Kept: 14110
% 2.14/2.55 Inuse: 562
% 2.14/2.55 Deleted: 96
% 2.14/2.55 Deletedinuse: 40
% 2.14/2.55
% 2.14/2.55 Resimplifying inuse:
% 2.14/2.55 Done
% 2.14/2.55
% 2.14/2.55 *** allocated 1297440 integers for clauses
% 2.14/2.55 Resimplifying inuse:
% 2.14/2.55 Done
% 2.14/2.55
% 2.14/2.55
% 2.14/2.55 Intermediate Status:
% 2.14/2.55 Generated: 22392
% 2.14/2.55 Kept: 16199
% 2.14/2.55 Inuse: 599
% 2.14/2.55 Deleted: 109
% 2.14/2.55 Deletedinuse: 52
% 2.14/2.55
% 2.14/2.55 Resimplifying inuse:
% 2.14/2.55 Done
% 2.14/2.55
% 2.14/2.55 Resimplifying inuse:
% 2.14/2.55 Done
% 2.14/2.55
% 2.14/2.55 *** allocated 384427 integers for termspace/termends
% 2.14/2.55
% 2.14/2.55 Intermediate Status:
% 2.14/2.55 Generated: 25214
% 2.14/2.55 Kept: 18271
% 2.14/2.55 Inuse: 633
% 2.14/2.55 Deleted: 133
% 2.14/2.55 Deletedinuse: 75
% 2.14/2.55
% 2.14/2.55 Resimplifying inuse:
% 2.14/2.55 Done
% 2.14/2.55
% 2.14/2.55 Resimplifying inuse:
% 2.14/2.55 Done
% 2.14/2.55
% 2.14/2.55 Resimplifying clauses:
% 2.14/2.55 Done
% 2.14/2.55
% 2.14/2.55
% 2.14/2.55 Intermediate Status:
% 2.14/2.55 Generated: 28463
% 2.14/2.55 Kept: 20309
% 2.14/2.55 Inuse: 682
% 2.14/2.55 Deleted: 2250
% 2.14/2.55 Deletedinuse: 86
% 2.14/2.55
% 2.14/2.55 Resimplifying inuse:
% 2.14/2.55 Done
% 2.14/2.55
% 2.14/2.55 Resimplifying inuse:
% 2.14/2.55 Done
% 2.14/2.55
% 2.14/2.55
% 2.14/2.55 Intermediate Status:
% 2.14/2.55 Generated: 31054
% 2.14/2.55 Kept: 22321
% 2.14/2.55 Inuse: 713
% 2.14/2.55 Deleted: 2252
% 2.14/2.55 Deletedinuse: 88
% 2.14/2.55
% 2.14/2.55 Resimplifying inuse:
% 2.14/2.55 Done
% 2.14/2.55
% 2.14/2.55 *** allocated 1946160 integers for clauses
% 2.14/2.55 Resimplifying inuse:
% 2.14/2.55 Done
% 2.14/2.55
% 2.14/2.55
% 2.14/2.55 Intermediate Status:
% 2.14/2.55 Generated: 34047
% 2.14/2.55 Kept: 24334
% 2.14/2.55 Inuse: 766
% 2.14/2.55 Deleted: 2252
% 2.14/2.55 Deletedinuse: 88
% 2.14/2.55
% 2.14/2.55 Resimplifying inuse:
% 2.14/2.55 Done
% 2.14/2.55
% 2.14/2.55 Resimplifying inuse:
% 2.14/2.55 Done
% 2.14/2.55
% 2.14/2.55
% 2.14/2.55 Intermediate Status:
% 2.14/2.55 Generated: 37087
% 2.14/2.55 Kept: 26357
% 2.14/2.55 Inuse: 824
% 2.14/2.55 Deleted: 2256
% 2.14/2.55 Deletedinuse: 91
% 2.14/2.55
% 2.14/2.55 Resimplifying inuse:
% 2.14/2.55 Done
% 2.14/2.55
% 2.14/2.55 *** allocated 576640 integers for termspace/termends
% 2.14/2.55 Resimplifying inuse:
% 2.14/2.55 Done
% 2.14/2.55
% 2.14/2.55
% 2.14/2.55 Intermediate Status:
% 2.14/2.55 Generated: 39458
% 2.14/2.55 Kept: 28383
% 2.14/2.55 Inuse: 847
% 2.14/2.55 Deleted: 2257
% 2.14/2.55 Deletedinuse: 92
% 2.14/2.55
% 2.14/2.55 Resimplifying inuse:
% 2.14/2.55 Done
% 2.14/2.55
% 2.14/2.55 Resimplifying inuse:
% 2.14/2.55 Done
% 2.14/2.55
% 2.14/2.55
% 2.14/2.55 Intermediate Status:
% 2.14/2.55 Generated: 42365
% 2.14/2.55 Kept: 30402
% 2.14/2.55 Inuse: 892
% 2.14/2.55 Deleted: 2259
% 2.14/2.55 Deletedinuse: 92
% 2.14/2.55
% 2.14/2.55 Resimplifying inuse:
% 2.14/2.55 Done
% 2.14/2.55
% 2.14/2.55
% 2.14/2.55 Bliksems!, er is een bewijs:
% 2.14/2.55 % SZS status Theorem
% 2.14/2.55 % SZS output start Refutation
% 2.14/2.55
% 2.14/2.55 (0) {G0,W6,D3,L1,V2,M1} I { product( X, Y, skol2( X, Y ) ) }.
% 2.14/2.55 (1) {G0,W19,D2,L4,V6,M1} I { ! product( T, W, Y ), ! product( X, T, U ),
% 2.14/2.55 product( X, Y, Z ), ! product( U, W, Z ) }.
% 2.14/2.55 (2) {G0,W19,D2,L4,V6,M1} I { ! product( T, U, Y ), ! product( T, W, Z ),
% 2.14/2.55 product( Y, X, Z ), ! product( U, X, W ) }.
% 2.14/2.55 (3) {G0,W4,D2,L1,V1,M1} I { product( X, skol1, X ) }.
% 2.14/2.55 (4) {G0,W4,D2,L1,V1,M1} I { product( skol1, X, X ) }.
% 2.14/2.55 (5) {G0,W5,D3,L1,V1,M1} I { product( X, inverse( X ), skol1 ) }.
% 2.14/2.55 (6) {G0,W5,D3,L1,V1,M1} I { product( inverse( X ), X, skol1 ) }.
% 2.14/2.55 (7) {G0,W6,D3,L1,V0,M1} I { product( inverse( skol5 ), inverse( skol6 ),
% 2.14/2.55 skol3 ) }.
% 2.14/2.55 (8) {G0,W4,D2,L1,V0,M1} I { product( skol6, skol5, skol4 ) }.
% 2.14/2.55 (9) {G0,W7,D3,L1,V0,M1} I { ! product( inverse( skol3 ), inverse( skol4 ),
% 2.14/2.55 skol1 ) }.
% 2.14/2.55 (12) {G1,W14,D2,L3,V3,M1} F(1) { ! product( X, X, Y ), product( Z, Y, Z ),
% 2.14/2.55 ! product( Z, X, Z ) }.
% 2.14/2.55 (15) {G1,W14,D2,L3,V3,M1} F(2) { ! product( X, X, Y ), product( Y, Z, Z ),
% 2.14/2.55 ! product( X, Z, Z ) }.
% 2.14/2.55 (20) {G1,W16,D3,L3,V5,M1} R(1,0) { ! product( X, Y, Z ), product( T, Z,
% 2.14/2.55 skol2( U, Y ) ), ! product( T, X, U ) }.
% 2.14/2.55 (21) {G1,W15,D3,L3,V4,M1} R(1,5) { ! product( X, inverse( Y ), Z ), product
% 2.14/2.55 ( T, Z, skol1 ), ! product( T, X, Y ) }.
% 2.14/2.55 (22) {G1,W15,D3,L3,V4,M1} R(1,6) { product( T, Z, skol1 ), ! product( X, Y
% 2.14/2.55 , Z ), ! product( T, X, inverse( Y ) ) }.
% 2.14/2.55 (24) {G1,W14,D2,L3,V4,M1} R(1,3) { ! product( X, skol1, Y ), product( Z, Y
% 2.14/2.55 , T ), ! product( Z, X, T ) }.
% 2.14/2.55 (25) {G1,W14,D2,L3,V4,M1} R(1,4) { ! product( X, Y, Z ), product( T, Z, Y )
% 2.14/2.55 , ! product( T, X, skol1 ) }.
% 2.14/2.55 (38) {G1,W14,D2,L3,V4,M1} R(2,3) { ! product( X, Y, Z ), product( Z, skol1
% 2.14/2.55 , T ), ! product( X, Y, T ) }.
% 2.14/2.55 (50) {G2,W10,D3,L2,V2,M1} R(38,5) { product( Y, skol1, skol1 ), ! product(
% 2.14/2.55 X, inverse( X ), Y ) }.
% 2.14/2.55 (53) {G2,W9,D2,L2,V2,M1} R(38,3) { product( Y, skol1, X ), ! product( X,
% 2.14/2.55 skol1, Y ) }.
% 2.14/2.55 (54) {G2,W9,D2,L2,V2,M1} R(38,4) { product( Y, skol1, X ), ! product( skol1
% 2.14/2.55 , X, Y ) }.
% 2.14/2.55 (72) {G3,W6,D3,L1,V1,M1} R(54,0) { product( skol2( skol1, X ), skol1, X )
% 2.14/2.55 }.
% 2.14/2.55 (75) {G4,W11,D3,L2,V2,M1} R(72,38) { product( Y, skol1, X ), ! product(
% 2.14/2.55 skol2( skol1, X ), skol1, Y ) }.
% 2.14/2.55 (83) {G2,W9,D2,L2,V2,M1} R(12,3) { product( Y, X, Y ), ! product( skol1,
% 2.14/2.55 skol1, X ) }.
% 2.14/2.55 (119) {G2,W9,D2,L2,V2,M1} R(15,4) { product( X, Y, Y ), ! product( skol1,
% 2.14/2.55 skol1, X ) }.
% 2.14/2.55 (181) {G2,W12,D3,L2,V3,M1} R(20,6) { product( inverse( X ), Z, skol2( skol1
% 2.14/2.55 , Y ) ), ! product( X, Y, Z ) }.
% 2.14/2.55 (182) {G2,W11,D3,L2,V2,M1} R(20,8) { product( skol6, Y, skol2( skol4, X ) )
% 2.14/2.55 , ! product( skol5, X, Y ) }.
% 2.14/2.55 (230) {G2,W12,D4,L2,V3,M1} R(21,0) { product( Y, Z, skol1 ), ! product( X,
% 2.14/2.55 inverse( skol2( Y, X ) ), Z ) }.
% 2.14/2.55 (283) {G2,W10,D3,L2,V2,M1} R(22,3) { product( inverse( X ), Y, skol1 ), !
% 2.14/2.55 product( skol1, X, Y ) }.
% 2.14/2.55 (385) {G2,W9,D2,L2,V2,M1} R(24,4) { product( skol1, Y, X ), ! product( X,
% 2.14/2.55 skol1, Y ) }.
% 2.14/2.55 (438) {G2,W10,D3,L2,V3,M1} R(25,5) { product( X, Z, Y ), ! product( inverse
% 2.14/2.55 ( X ), Y, Z ) }.
% 2.14/2.55 (642) {G3,W5,D3,L1,V0,M1} R(438,7) { product( skol5, skol3, inverse( skol6
% 2.14/2.55 ) ) }.
% 2.14/2.55 (18044) {G4,W7,D3,L1,V0,M1} R(182,642) { product( skol6, inverse( skol6 ),
% 2.14/2.55 skol2( skol4, skol3 ) ) }.
% 2.14/2.55 (18100) {G5,W6,D3,L1,V0,M1} R(18044,50) { product( skol2( skol4, skol3 ),
% 2.14/2.55 skol1, skol1 ) }.
% 2.14/2.55 (18143) {G6,W6,D3,L1,V0,M1} R(18100,385) { product( skol1, skol1, skol2(
% 2.14/2.55 skol4, skol3 ) ) }.
% 2.14/2.55 (18302) {G7,W6,D3,L1,V1,M1} R(18143,119) { product( skol2( skol4, skol3 ),
% 2.14/2.55 X, X ) }.
% 2.14/2.55 (18334) {G8,W7,D4,L1,V0,M1} R(18302,50) { product( inverse( skol2( skol4,
% 2.14/2.55 skol3 ) ), skol1, skol1 ) }.
% 2.14/2.55 (18932) {G9,W7,D4,L1,V0,M1} R(18334,385) { product( skol1, skol1, inverse(
% 2.14/2.55 skol2( skol4, skol3 ) ) ) }.
% 2.14/2.55 (19011) {G10,W7,D4,L1,V1,M1} R(18932,83) { product( X, inverse( skol2(
% 2.14/2.55 skol4, skol3 ) ), X ) }.
% 2.14/2.55 (24619) {G11,W4,D2,L1,V0,M1} R(230,19011) { product( skol4, skol3, skol1 )
% 2.14/2.55 }.
% 2.14/2.55 (24706) {G12,W7,D3,L1,V0,M1} R(24619,181) { product( inverse( skol4 ),
% 2.14/2.55 skol1, skol2( skol1, skol3 ) ) }.
% 2.14/2.55 (24765) {G13,W7,D3,L1,V0,M1} R(24706,53) { product( skol2( skol1, skol3 ),
% 2.14/2.55 skol1, inverse( skol4 ) ) }.
% 2.14/2.55 (24904) {G14,W5,D3,L1,V0,M1} R(24765,75) { product( inverse( skol4 ), skol1
% 2.14/2.55 , skol3 ) }.
% 2.14/2.55 (24945) {G15,W5,D3,L1,V0,M1} R(24904,385) { product( skol1, skol3, inverse
% 2.14/2.55 ( skol4 ) ) }.
% 2.14/2.55 (31204) {G16,W0,D0,L0,V0,M0} R(283,24945);r(9) { }.
% 2.14/2.55
% 2.14/2.55
% 2.14/2.55 % SZS output end Refutation
% 2.14/2.55 found a proof!
% 2.14/2.55
% 2.14/2.55
% 2.14/2.55 Unprocessed initial clauses:
% 2.14/2.55
% 2.14/2.55 (31206) {G0,W6,D3,L1,V2,M1} { product( X, Y, skol2( X, Y ) ) }.
% 2.14/2.55 (31207) {G0,W19,D2,L4,V6,M4} { ! product( X, T, U ), ! product( T, W, Y )
% 2.14/2.55 , ! product( U, W, Z ), product( X, Y, Z ) }.
% 2.14/2.55 (31208) {G0,W19,D2,L4,V6,M4} { ! product( T, U, Y ), ! product( U, X, W )
% 2.14/2.55 , ! product( T, W, Z ), product( Y, X, Z ) }.
% 2.14/2.55 (31209) {G0,W4,D2,L1,V1,M1} { product( X, skol1, X ) }.
% 2.14/2.55 (31210) {G0,W4,D2,L1,V1,M1} { product( skol1, X, X ) }.
% 2.14/2.55 (31211) {G0,W5,D3,L1,V1,M1} { product( X, inverse( X ), skol1 ) }.
% 2.14/2.55 (31212) {G0,W5,D3,L1,V1,M1} { product( inverse( X ), X, skol1 ) }.
% 2.14/2.55 (31213) {G0,W6,D3,L1,V0,M1} { product( inverse( skol5 ), inverse( skol6 )
% 2.14/2.55 , skol3 ) }.
% 2.14/2.55 (31214) {G0,W4,D2,L1,V0,M1} { product( skol6, skol5, skol4 ) }.
% 2.14/2.55 (31215) {G0,W7,D3,L1,V0,M1} { ! product( inverse( skol3 ), inverse( skol4
% 2.14/2.55 ), skol1 ) }.
% 2.14/2.55
% 2.14/2.55
% 2.14/2.55 Total Proof:
% 2.14/2.55
% 2.14/2.55 subsumption: (0) {G0,W6,D3,L1,V2,M1} I { product( X, Y, skol2( X, Y ) ) }.
% 2.14/2.55 parent0: (31206) {G0,W6,D3,L1,V2,M1} { product( X, Y, skol2( X, Y ) ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := X
% 2.14/2.55 Y := Y
% 2.14/2.55 end
% 2.14/2.55 permutation0:
% 2.14/2.55 0 ==> 0
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 subsumption: (1) {G0,W19,D2,L4,V6,M1} I { ! product( T, W, Y ), ! product(
% 2.14/2.55 X, T, U ), product( X, Y, Z ), ! product( U, W, Z ) }.
% 2.14/2.55 parent0: (31207) {G0,W19,D2,L4,V6,M4} { ! product( X, T, U ), ! product( T
% 2.14/2.55 , W, Y ), ! product( U, W, Z ), product( X, Y, Z ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := X
% 2.14/2.55 Y := Y
% 2.14/2.55 Z := Z
% 2.14/2.55 T := T
% 2.14/2.55 U := U
% 2.14/2.55 W := W
% 2.14/2.55 end
% 2.14/2.55 permutation0:
% 2.14/2.55 0 ==> 1
% 2.14/2.55 1 ==> 0
% 2.14/2.55 2 ==> 3
% 2.14/2.55 3 ==> 2
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 subsumption: (2) {G0,W19,D2,L4,V6,M1} I { ! product( T, U, Y ), ! product(
% 2.14/2.55 T, W, Z ), product( Y, X, Z ), ! product( U, X, W ) }.
% 2.14/2.55 parent0: (31208) {G0,W19,D2,L4,V6,M4} { ! product( T, U, Y ), ! product( U
% 2.14/2.55 , X, W ), ! product( T, W, Z ), product( Y, X, Z ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := X
% 2.14/2.55 Y := Y
% 2.14/2.55 Z := Z
% 2.14/2.55 T := T
% 2.14/2.55 U := U
% 2.14/2.55 W := W
% 2.14/2.55 end
% 2.14/2.55 permutation0:
% 2.14/2.55 0 ==> 0
% 2.14/2.55 1 ==> 3
% 2.14/2.55 2 ==> 1
% 2.14/2.55 3 ==> 2
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 subsumption: (3) {G0,W4,D2,L1,V1,M1} I { product( X, skol1, X ) }.
% 2.14/2.55 parent0: (31209) {G0,W4,D2,L1,V1,M1} { product( X, skol1, X ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := X
% 2.14/2.55 end
% 2.14/2.55 permutation0:
% 2.14/2.55 0 ==> 0
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 subsumption: (4) {G0,W4,D2,L1,V1,M1} I { product( skol1, X, X ) }.
% 2.14/2.55 parent0: (31210) {G0,W4,D2,L1,V1,M1} { product( skol1, X, X ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := X
% 2.14/2.55 end
% 2.14/2.55 permutation0:
% 2.14/2.55 0 ==> 0
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 subsumption: (5) {G0,W5,D3,L1,V1,M1} I { product( X, inverse( X ), skol1 )
% 2.14/2.55 }.
% 2.14/2.55 parent0: (31211) {G0,W5,D3,L1,V1,M1} { product( X, inverse( X ), skol1 )
% 2.14/2.55 }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := X
% 2.14/2.55 end
% 2.14/2.55 permutation0:
% 2.14/2.55 0 ==> 0
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 subsumption: (6) {G0,W5,D3,L1,V1,M1} I { product( inverse( X ), X, skol1 )
% 2.14/2.55 }.
% 2.14/2.55 parent0: (31212) {G0,W5,D3,L1,V1,M1} { product( inverse( X ), X, skol1 )
% 2.14/2.55 }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := X
% 2.14/2.55 end
% 2.14/2.55 permutation0:
% 2.14/2.55 0 ==> 0
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 subsumption: (7) {G0,W6,D3,L1,V0,M1} I { product( inverse( skol5 ), inverse
% 2.14/2.55 ( skol6 ), skol3 ) }.
% 2.14/2.55 parent0: (31213) {G0,W6,D3,L1,V0,M1} { product( inverse( skol5 ), inverse
% 2.14/2.55 ( skol6 ), skol3 ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 end
% 2.14/2.55 permutation0:
% 2.14/2.55 0 ==> 0
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 subsumption: (8) {G0,W4,D2,L1,V0,M1} I { product( skol6, skol5, skol4 ) }.
% 2.14/2.55 parent0: (31214) {G0,W4,D2,L1,V0,M1} { product( skol6, skol5, skol4 ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 end
% 2.14/2.55 permutation0:
% 2.14/2.55 0 ==> 0
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 subsumption: (9) {G0,W7,D3,L1,V0,M1} I { ! product( inverse( skol3 ),
% 2.14/2.55 inverse( skol4 ), skol1 ) }.
% 2.14/2.55 parent0: (31215) {G0,W7,D3,L1,V0,M1} { ! product( inverse( skol3 ),
% 2.14/2.55 inverse( skol4 ), skol1 ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 end
% 2.14/2.55 permutation0:
% 2.14/2.55 0 ==> 0
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 factor: (31286) {G0,W14,D2,L3,V3,M3} { ! product( X, X, Y ), ! product( Z
% 2.14/2.55 , X, Z ), product( Z, Y, Z ) }.
% 2.14/2.55 parent0[1, 3]: (1) {G0,W19,D2,L4,V6,M1} I { ! product( T, W, Y ), ! product
% 2.14/2.55 ( X, T, U ), product( X, Y, Z ), ! product( U, W, Z ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := Z
% 2.14/2.55 Y := Y
% 2.14/2.55 Z := Z
% 2.14/2.55 T := X
% 2.14/2.55 U := Z
% 2.14/2.55 W := X
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 subsumption: (12) {G1,W14,D2,L3,V3,M1} F(1) { ! product( X, X, Y ), product
% 2.14/2.55 ( Z, Y, Z ), ! product( Z, X, Z ) }.
% 2.14/2.55 parent0: (31286) {G0,W14,D2,L3,V3,M3} { ! product( X, X, Y ), ! product( Z
% 2.14/2.55 , X, Z ), product( Z, Y, Z ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := X
% 2.14/2.55 Y := Y
% 2.14/2.55 Z := Z
% 2.14/2.55 end
% 2.14/2.55 permutation0:
% 2.14/2.55 0 ==> 0
% 2.14/2.55 1 ==> 2
% 2.14/2.55 2 ==> 1
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 factor: (31290) {G0,W14,D2,L3,V3,M3} { ! product( X, X, Y ), ! product( X
% 2.14/2.55 , Z, Z ), product( Y, Z, Z ) }.
% 2.14/2.55 parent0[1, 3]: (2) {G0,W19,D2,L4,V6,M1} I { ! product( T, U, Y ), ! product
% 2.14/2.55 ( T, W, Z ), product( Y, X, Z ), ! product( U, X, W ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := Z
% 2.14/2.55 Y := Y
% 2.14/2.55 Z := Z
% 2.14/2.55 T := X
% 2.14/2.55 U := X
% 2.14/2.55 W := Z
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 subsumption: (15) {G1,W14,D2,L3,V3,M1} F(2) { ! product( X, X, Y ), product
% 2.14/2.55 ( Y, Z, Z ), ! product( X, Z, Z ) }.
% 2.14/2.55 parent0: (31290) {G0,W14,D2,L3,V3,M3} { ! product( X, X, Y ), ! product( X
% 2.14/2.55 , Z, Z ), product( Y, Z, Z ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := X
% 2.14/2.55 Y := Y
% 2.14/2.55 Z := Z
% 2.14/2.55 end
% 2.14/2.55 permutation0:
% 2.14/2.55 0 ==> 0
% 2.14/2.55 1 ==> 2
% 2.14/2.55 2 ==> 1
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 resolution: (31294) {G1,W16,D3,L3,V5,M3} { ! product( X, Y, Z ), ! product
% 2.14/2.55 ( T, X, U ), product( T, Z, skol2( U, Y ) ) }.
% 2.14/2.55 parent0[3]: (1) {G0,W19,D2,L4,V6,M1} I { ! product( T, W, Y ), ! product( X
% 2.14/2.55 , T, U ), product( X, Y, Z ), ! product( U, W, Z ) }.
% 2.14/2.55 parent1[0]: (0) {G0,W6,D3,L1,V2,M1} I { product( X, Y, skol2( X, Y ) ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := T
% 2.14/2.55 Y := Z
% 2.14/2.55 Z := skol2( U, Y )
% 2.14/2.55 T := X
% 2.14/2.55 U := U
% 2.14/2.55 W := Y
% 2.14/2.55 end
% 2.14/2.55 substitution1:
% 2.14/2.55 X := U
% 2.14/2.55 Y := Y
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 subsumption: (20) {G1,W16,D3,L3,V5,M1} R(1,0) { ! product( X, Y, Z ),
% 2.14/2.55 product( T, Z, skol2( U, Y ) ), ! product( T, X, U ) }.
% 2.14/2.55 parent0: (31294) {G1,W16,D3,L3,V5,M3} { ! product( X, Y, Z ), ! product( T
% 2.14/2.55 , X, U ), product( T, Z, skol2( U, Y ) ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := X
% 2.14/2.55 Y := Y
% 2.14/2.55 Z := Z
% 2.14/2.55 T := T
% 2.14/2.55 U := U
% 2.14/2.55 end
% 2.14/2.55 permutation0:
% 2.14/2.55 0 ==> 0
% 2.14/2.55 1 ==> 2
% 2.14/2.55 2 ==> 1
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 resolution: (31299) {G1,W15,D3,L3,V4,M3} { ! product( X, inverse( Y ), Z )
% 2.14/2.55 , ! product( T, X, Y ), product( T, Z, skol1 ) }.
% 2.14/2.55 parent0[3]: (1) {G0,W19,D2,L4,V6,M1} I { ! product( T, W, Y ), ! product( X
% 2.14/2.55 , T, U ), product( X, Y, Z ), ! product( U, W, Z ) }.
% 2.14/2.55 parent1[0]: (5) {G0,W5,D3,L1,V1,M1} I { product( X, inverse( X ), skol1 )
% 2.14/2.55 }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := T
% 2.14/2.55 Y := Z
% 2.14/2.55 Z := skol1
% 2.14/2.55 T := X
% 2.14/2.55 U := Y
% 2.14/2.55 W := inverse( Y )
% 2.14/2.55 end
% 2.14/2.55 substitution1:
% 2.14/2.55 X := Y
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 subsumption: (21) {G1,W15,D3,L3,V4,M1} R(1,5) { ! product( X, inverse( Y )
% 2.14/2.55 , Z ), product( T, Z, skol1 ), ! product( T, X, Y ) }.
% 2.14/2.55 parent0: (31299) {G1,W15,D3,L3,V4,M3} { ! product( X, inverse( Y ), Z ), !
% 2.14/2.55 product( T, X, Y ), product( T, Z, skol1 ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := X
% 2.14/2.55 Y := Y
% 2.14/2.55 Z := Z
% 2.14/2.55 T := T
% 2.14/2.55 end
% 2.14/2.55 permutation0:
% 2.14/2.55 0 ==> 0
% 2.14/2.55 1 ==> 2
% 2.14/2.55 2 ==> 1
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 resolution: (31303) {G1,W15,D3,L3,V4,M3} { ! product( X, Y, Z ), ! product
% 2.14/2.55 ( T, X, inverse( Y ) ), product( T, Z, skol1 ) }.
% 2.14/2.55 parent0[3]: (1) {G0,W19,D2,L4,V6,M1} I { ! product( T, W, Y ), ! product( X
% 2.14/2.55 , T, U ), product( X, Y, Z ), ! product( U, W, Z ) }.
% 2.14/2.55 parent1[0]: (6) {G0,W5,D3,L1,V1,M1} I { product( inverse( X ), X, skol1 )
% 2.14/2.55 }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := T
% 2.14/2.55 Y := Z
% 2.14/2.55 Z := skol1
% 2.14/2.55 T := X
% 2.14/2.55 U := inverse( Y )
% 2.14/2.55 W := Y
% 2.14/2.55 end
% 2.14/2.55 substitution1:
% 2.14/2.55 X := Y
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 subsumption: (22) {G1,W15,D3,L3,V4,M1} R(1,6) { product( T, Z, skol1 ), !
% 2.14/2.55 product( X, Y, Z ), ! product( T, X, inverse( Y ) ) }.
% 2.14/2.55 parent0: (31303) {G1,W15,D3,L3,V4,M3} { ! product( X, Y, Z ), ! product( T
% 2.14/2.55 , X, inverse( Y ) ), product( T, Z, skol1 ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := X
% 2.14/2.55 Y := Y
% 2.14/2.55 Z := Z
% 2.14/2.55 T := T
% 2.14/2.55 end
% 2.14/2.55 permutation0:
% 2.14/2.55 0 ==> 1
% 2.14/2.55 1 ==> 2
% 2.14/2.55 2 ==> 0
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 resolution: (31308) {G1,W14,D2,L3,V4,M3} { ! product( X, skol1, Y ), !
% 2.14/2.55 product( Z, X, T ), product( Z, Y, T ) }.
% 2.14/2.55 parent0[3]: (1) {G0,W19,D2,L4,V6,M1} I { ! product( T, W, Y ), ! product( X
% 2.14/2.55 , T, U ), product( X, Y, Z ), ! product( U, W, Z ) }.
% 2.14/2.55 parent1[0]: (3) {G0,W4,D2,L1,V1,M1} I { product( X, skol1, X ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := Z
% 2.14/2.55 Y := Y
% 2.14/2.55 Z := T
% 2.14/2.55 T := X
% 2.14/2.55 U := T
% 2.14/2.55 W := skol1
% 2.14/2.55 end
% 2.14/2.55 substitution1:
% 2.14/2.55 X := T
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 subsumption: (24) {G1,W14,D2,L3,V4,M1} R(1,3) { ! product( X, skol1, Y ),
% 2.14/2.55 product( Z, Y, T ), ! product( Z, X, T ) }.
% 2.14/2.55 parent0: (31308) {G1,W14,D2,L3,V4,M3} { ! product( X, skol1, Y ), !
% 2.14/2.55 product( Z, X, T ), product( Z, Y, T ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := X
% 2.14/2.55 Y := Y
% 2.14/2.55 Z := Z
% 2.14/2.55 T := T
% 2.14/2.55 end
% 2.14/2.55 permutation0:
% 2.14/2.55 0 ==> 0
% 2.14/2.55 1 ==> 2
% 2.14/2.55 2 ==> 1
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 resolution: (31313) {G1,W14,D2,L3,V4,M3} { ! product( X, Y, Z ), ! product
% 2.14/2.55 ( T, X, skol1 ), product( T, Z, Y ) }.
% 2.14/2.55 parent0[3]: (1) {G0,W19,D2,L4,V6,M1} I { ! product( T, W, Y ), ! product( X
% 2.14/2.55 , T, U ), product( X, Y, Z ), ! product( U, W, Z ) }.
% 2.14/2.55 parent1[0]: (4) {G0,W4,D2,L1,V1,M1} I { product( skol1, X, X ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := T
% 2.14/2.55 Y := Z
% 2.14/2.55 Z := Y
% 2.14/2.55 T := X
% 2.14/2.55 U := skol1
% 2.14/2.55 W := Y
% 2.14/2.55 end
% 2.14/2.55 substitution1:
% 2.14/2.55 X := Y
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 subsumption: (25) {G1,W14,D2,L3,V4,M1} R(1,4) { ! product( X, Y, Z ),
% 2.14/2.55 product( T, Z, Y ), ! product( T, X, skol1 ) }.
% 2.14/2.55 parent0: (31313) {G1,W14,D2,L3,V4,M3} { ! product( X, Y, Z ), ! product( T
% 2.14/2.55 , X, skol1 ), product( T, Z, Y ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := X
% 2.14/2.55 Y := Y
% 2.14/2.55 Z := Z
% 2.14/2.55 T := T
% 2.14/2.55 end
% 2.14/2.55 permutation0:
% 2.14/2.55 0 ==> 0
% 2.14/2.55 1 ==> 2
% 2.14/2.55 2 ==> 1
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 resolution: (31319) {G1,W14,D2,L3,V4,M3} { ! product( X, Y, Z ), ! product
% 2.14/2.55 ( X, Y, T ), product( Z, skol1, T ) }.
% 2.14/2.55 parent0[3]: (2) {G0,W19,D2,L4,V6,M1} I { ! product( T, U, Y ), ! product( T
% 2.14/2.55 , W, Z ), product( Y, X, Z ), ! product( U, X, W ) }.
% 2.14/2.55 parent1[0]: (3) {G0,W4,D2,L1,V1,M1} I { product( X, skol1, X ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := skol1
% 2.14/2.55 Y := Z
% 2.14/2.55 Z := T
% 2.14/2.55 T := X
% 2.14/2.55 U := Y
% 2.14/2.55 W := Y
% 2.14/2.55 end
% 2.14/2.55 substitution1:
% 2.14/2.55 X := Y
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 subsumption: (38) {G1,W14,D2,L3,V4,M1} R(2,3) { ! product( X, Y, Z ),
% 2.14/2.55 product( Z, skol1, T ), ! product( X, Y, T ) }.
% 2.14/2.55 parent0: (31319) {G1,W14,D2,L3,V4,M3} { ! product( X, Y, Z ), ! product( X
% 2.14/2.55 , Y, T ), product( Z, skol1, T ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := X
% 2.14/2.55 Y := Y
% 2.14/2.55 Z := Z
% 2.14/2.55 T := T
% 2.14/2.55 end
% 2.14/2.55 permutation0:
% 2.14/2.55 0 ==> 0
% 2.14/2.55 1 ==> 2
% 2.14/2.55 2 ==> 1
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 resolution: (31324) {G1,W10,D3,L2,V2,M2} { ! product( X, inverse( X ), Y )
% 2.14/2.55 , product( Y, skol1, skol1 ) }.
% 2.14/2.55 parent0[2]: (38) {G1,W14,D2,L3,V4,M1} R(2,3) { ! product( X, Y, Z ),
% 2.14/2.55 product( Z, skol1, T ), ! product( X, Y, T ) }.
% 2.14/2.55 parent1[0]: (5) {G0,W5,D3,L1,V1,M1} I { product( X, inverse( X ), skol1 )
% 2.14/2.55 }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := X
% 2.14/2.55 Y := inverse( X )
% 2.14/2.55 Z := Y
% 2.14/2.55 T := skol1
% 2.14/2.55 end
% 2.14/2.55 substitution1:
% 2.14/2.55 X := X
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 subsumption: (50) {G2,W10,D3,L2,V2,M1} R(38,5) { product( Y, skol1, skol1 )
% 2.14/2.55 , ! product( X, inverse( X ), Y ) }.
% 2.14/2.55 parent0: (31324) {G1,W10,D3,L2,V2,M2} { ! product( X, inverse( X ), Y ),
% 2.14/2.55 product( Y, skol1, skol1 ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := X
% 2.14/2.55 Y := Y
% 2.14/2.55 end
% 2.14/2.55 permutation0:
% 2.14/2.55 0 ==> 1
% 2.14/2.55 1 ==> 0
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 resolution: (31326) {G1,W9,D2,L2,V2,M2} { ! product( X, skol1, Y ),
% 2.14/2.55 product( Y, skol1, X ) }.
% 2.14/2.55 parent0[2]: (38) {G1,W14,D2,L3,V4,M1} R(2,3) { ! product( X, Y, Z ),
% 2.14/2.55 product( Z, skol1, T ), ! product( X, Y, T ) }.
% 2.14/2.55 parent1[0]: (3) {G0,W4,D2,L1,V1,M1} I { product( X, skol1, X ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := X
% 2.14/2.55 Y := skol1
% 2.14/2.55 Z := Y
% 2.14/2.55 T := X
% 2.14/2.55 end
% 2.14/2.55 substitution1:
% 2.14/2.55 X := X
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 subsumption: (53) {G2,W9,D2,L2,V2,M1} R(38,3) { product( Y, skol1, X ), !
% 2.14/2.55 product( X, skol1, Y ) }.
% 2.14/2.55 parent0: (31326) {G1,W9,D2,L2,V2,M2} { ! product( X, skol1, Y ), product(
% 2.14/2.55 Y, skol1, X ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := X
% 2.14/2.55 Y := Y
% 2.14/2.55 end
% 2.14/2.55 permutation0:
% 2.14/2.55 0 ==> 1
% 2.14/2.55 1 ==> 0
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 resolution: (31328) {G1,W9,D2,L2,V2,M2} { ! product( skol1, X, Y ),
% 2.14/2.55 product( Y, skol1, X ) }.
% 2.14/2.55 parent0[2]: (38) {G1,W14,D2,L3,V4,M1} R(2,3) { ! product( X, Y, Z ),
% 2.14/2.55 product( Z, skol1, T ), ! product( X, Y, T ) }.
% 2.14/2.55 parent1[0]: (4) {G0,W4,D2,L1,V1,M1} I { product( skol1, X, X ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := skol1
% 2.14/2.55 Y := X
% 2.14/2.55 Z := Y
% 2.14/2.55 T := X
% 2.14/2.55 end
% 2.14/2.55 substitution1:
% 2.14/2.55 X := X
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 subsumption: (54) {G2,W9,D2,L2,V2,M1} R(38,4) { product( Y, skol1, X ), !
% 2.14/2.55 product( skol1, X, Y ) }.
% 2.14/2.55 parent0: (31328) {G1,W9,D2,L2,V2,M2} { ! product( skol1, X, Y ), product(
% 2.14/2.55 Y, skol1, X ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := X
% 2.14/2.55 Y := Y
% 2.14/2.55 end
% 2.14/2.55 permutation0:
% 2.14/2.55 0 ==> 1
% 2.14/2.55 1 ==> 0
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 resolution: (31329) {G1,W6,D3,L1,V1,M1} { product( skol2( skol1, X ),
% 2.14/2.55 skol1, X ) }.
% 2.14/2.55 parent0[1]: (54) {G2,W9,D2,L2,V2,M1} R(38,4) { product( Y, skol1, X ), !
% 2.14/2.55 product( skol1, X, Y ) }.
% 2.14/2.55 parent1[0]: (0) {G0,W6,D3,L1,V2,M1} I { product( X, Y, skol2( X, Y ) ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := X
% 2.14/2.55 Y := skol2( skol1, X )
% 2.14/2.55 end
% 2.14/2.55 substitution1:
% 2.14/2.55 X := skol1
% 2.14/2.55 Y := X
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 subsumption: (72) {G3,W6,D3,L1,V1,M1} R(54,0) { product( skol2( skol1, X )
% 2.14/2.55 , skol1, X ) }.
% 2.14/2.55 parent0: (31329) {G1,W6,D3,L1,V1,M1} { product( skol2( skol1, X ), skol1,
% 2.14/2.55 X ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := X
% 2.14/2.55 end
% 2.14/2.55 permutation0:
% 2.14/2.55 0 ==> 0
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 resolution: (31331) {G2,W11,D3,L2,V2,M2} { ! product( skol2( skol1, X ),
% 2.14/2.55 skol1, Y ), product( Y, skol1, X ) }.
% 2.14/2.55 parent0[2]: (38) {G1,W14,D2,L3,V4,M1} R(2,3) { ! product( X, Y, Z ),
% 2.14/2.55 product( Z, skol1, T ), ! product( X, Y, T ) }.
% 2.14/2.55 parent1[0]: (72) {G3,W6,D3,L1,V1,M1} R(54,0) { product( skol2( skol1, X ),
% 2.14/2.55 skol1, X ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := skol2( skol1, X )
% 2.14/2.55 Y := skol1
% 2.14/2.55 Z := Y
% 2.14/2.55 T := X
% 2.14/2.55 end
% 2.14/2.55 substitution1:
% 2.14/2.55 X := X
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 subsumption: (75) {G4,W11,D3,L2,V2,M1} R(72,38) { product( Y, skol1, X ), !
% 2.14/2.55 product( skol2( skol1, X ), skol1, Y ) }.
% 2.14/2.55 parent0: (31331) {G2,W11,D3,L2,V2,M2} { ! product( skol2( skol1, X ),
% 2.14/2.55 skol1, Y ), product( Y, skol1, X ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := X
% 2.14/2.55 Y := Y
% 2.14/2.55 end
% 2.14/2.55 permutation0:
% 2.14/2.55 0 ==> 1
% 2.14/2.55 1 ==> 0
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 resolution: (31333) {G1,W9,D2,L2,V2,M2} { ! product( skol1, skol1, X ),
% 2.14/2.55 product( Y, X, Y ) }.
% 2.14/2.55 parent0[2]: (12) {G1,W14,D2,L3,V3,M1} F(1) { ! product( X, X, Y ), product
% 2.14/2.55 ( Z, Y, Z ), ! product( Z, X, Z ) }.
% 2.14/2.55 parent1[0]: (3) {G0,W4,D2,L1,V1,M1} I { product( X, skol1, X ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := skol1
% 2.14/2.55 Y := X
% 2.14/2.55 Z := Y
% 2.14/2.55 end
% 2.14/2.55 substitution1:
% 2.14/2.55 X := Y
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 subsumption: (83) {G2,W9,D2,L2,V2,M1} R(12,3) { product( Y, X, Y ), !
% 2.14/2.55 product( skol1, skol1, X ) }.
% 2.14/2.55 parent0: (31333) {G1,W9,D2,L2,V2,M2} { ! product( skol1, skol1, X ),
% 2.14/2.55 product( Y, X, Y ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := X
% 2.14/2.55 Y := Y
% 2.14/2.55 end
% 2.14/2.55 permutation0:
% 2.14/2.55 0 ==> 1
% 2.14/2.55 1 ==> 0
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 resolution: (31335) {G1,W9,D2,L2,V2,M2} { ! product( skol1, skol1, X ),
% 2.14/2.55 product( X, Y, Y ) }.
% 2.14/2.55 parent0[2]: (15) {G1,W14,D2,L3,V3,M1} F(2) { ! product( X, X, Y ), product
% 2.14/2.55 ( Y, Z, Z ), ! product( X, Z, Z ) }.
% 2.14/2.55 parent1[0]: (4) {G0,W4,D2,L1,V1,M1} I { product( skol1, X, X ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := skol1
% 2.14/2.55 Y := X
% 2.14/2.55 Z := Y
% 2.14/2.55 end
% 2.14/2.55 substitution1:
% 2.14/2.55 X := Y
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 subsumption: (119) {G2,W9,D2,L2,V2,M1} R(15,4) { product( X, Y, Y ), !
% 2.14/2.55 product( skol1, skol1, X ) }.
% 2.14/2.55 parent0: (31335) {G1,W9,D2,L2,V2,M2} { ! product( skol1, skol1, X ),
% 2.14/2.55 product( X, Y, Y ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := X
% 2.14/2.55 Y := Y
% 2.14/2.55 end
% 2.14/2.55 permutation0:
% 2.14/2.55 0 ==> 1
% 2.14/2.55 1 ==> 0
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 resolution: (31337) {G1,W12,D3,L2,V3,M2} { ! product( X, Y, Z ), product(
% 2.14/2.55 inverse( X ), Z, skol2( skol1, Y ) ) }.
% 2.14/2.55 parent0[2]: (20) {G1,W16,D3,L3,V5,M1} R(1,0) { ! product( X, Y, Z ),
% 2.14/2.55 product( T, Z, skol2( U, Y ) ), ! product( T, X, U ) }.
% 2.14/2.55 parent1[0]: (6) {G0,W5,D3,L1,V1,M1} I { product( inverse( X ), X, skol1 )
% 2.14/2.55 }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := X
% 2.14/2.55 Y := Y
% 2.14/2.55 Z := Z
% 2.14/2.55 T := inverse( X )
% 2.14/2.55 U := skol1
% 2.14/2.55 end
% 2.14/2.55 substitution1:
% 2.14/2.55 X := X
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 subsumption: (181) {G2,W12,D3,L2,V3,M1} R(20,6) { product( inverse( X ), Z
% 2.14/2.55 , skol2( skol1, Y ) ), ! product( X, Y, Z ) }.
% 2.14/2.55 parent0: (31337) {G1,W12,D3,L2,V3,M2} { ! product( X, Y, Z ), product(
% 2.14/2.55 inverse( X ), Z, skol2( skol1, Y ) ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := X
% 2.14/2.55 Y := Y
% 2.14/2.55 Z := Z
% 2.14/2.55 end
% 2.14/2.55 permutation0:
% 2.14/2.55 0 ==> 1
% 2.14/2.55 1 ==> 0
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 resolution: (31339) {G1,W11,D3,L2,V2,M2} { ! product( skol5, X, Y ),
% 2.14/2.55 product( skol6, Y, skol2( skol4, X ) ) }.
% 2.14/2.55 parent0[2]: (20) {G1,W16,D3,L3,V5,M1} R(1,0) { ! product( X, Y, Z ),
% 2.14/2.55 product( T, Z, skol2( U, Y ) ), ! product( T, X, U ) }.
% 2.14/2.55 parent1[0]: (8) {G0,W4,D2,L1,V0,M1} I { product( skol6, skol5, skol4 ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := skol5
% 2.14/2.55 Y := X
% 2.14/2.55 Z := Y
% 2.14/2.55 T := skol6
% 2.14/2.55 U := skol4
% 2.14/2.55 end
% 2.14/2.55 substitution1:
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 subsumption: (182) {G2,W11,D3,L2,V2,M1} R(20,8) { product( skol6, Y, skol2
% 2.14/2.55 ( skol4, X ) ), ! product( skol5, X, Y ) }.
% 2.14/2.55 parent0: (31339) {G1,W11,D3,L2,V2,M2} { ! product( skol5, X, Y ), product
% 2.14/2.55 ( skol6, Y, skol2( skol4, X ) ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := X
% 2.14/2.55 Y := Y
% 2.14/2.55 end
% 2.14/2.55 permutation0:
% 2.14/2.55 0 ==> 1
% 2.14/2.55 1 ==> 0
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 resolution: (31341) {G1,W12,D4,L2,V3,M2} { ! product( X, inverse( skol2( Y
% 2.14/2.55 , X ) ), Z ), product( Y, Z, skol1 ) }.
% 2.14/2.55 parent0[2]: (21) {G1,W15,D3,L3,V4,M1} R(1,5) { ! product( X, inverse( Y ),
% 2.14/2.55 Z ), product( T, Z, skol1 ), ! product( T, X, Y ) }.
% 2.14/2.55 parent1[0]: (0) {G0,W6,D3,L1,V2,M1} I { product( X, Y, skol2( X, Y ) ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := X
% 2.14/2.55 Y := skol2( Y, X )
% 2.14/2.55 Z := Z
% 2.14/2.55 T := Y
% 2.14/2.55 end
% 2.14/2.55 substitution1:
% 2.14/2.55 X := Y
% 2.14/2.55 Y := X
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 subsumption: (230) {G2,W12,D4,L2,V3,M1} R(21,0) { product( Y, Z, skol1 ), !
% 2.14/2.55 product( X, inverse( skol2( Y, X ) ), Z ) }.
% 2.14/2.55 parent0: (31341) {G1,W12,D4,L2,V3,M2} { ! product( X, inverse( skol2( Y, X
% 2.14/2.55 ) ), Z ), product( Y, Z, skol1 ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := X
% 2.14/2.55 Y := Y
% 2.14/2.55 Z := Z
% 2.14/2.55 end
% 2.14/2.55 permutation0:
% 2.14/2.55 0 ==> 1
% 2.14/2.55 1 ==> 0
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 resolution: (31343) {G1,W10,D3,L2,V2,M2} { product( inverse( X ), Y, skol1
% 2.14/2.55 ), ! product( skol1, X, Y ) }.
% 2.14/2.55 parent0[2]: (22) {G1,W15,D3,L3,V4,M1} R(1,6) { product( T, Z, skol1 ), !
% 2.14/2.55 product( X, Y, Z ), ! product( T, X, inverse( Y ) ) }.
% 2.14/2.55 parent1[0]: (3) {G0,W4,D2,L1,V1,M1} I { product( X, skol1, X ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := skol1
% 2.14/2.55 Y := X
% 2.14/2.55 Z := Y
% 2.14/2.55 T := inverse( X )
% 2.14/2.55 end
% 2.14/2.55 substitution1:
% 2.14/2.55 X := inverse( X )
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 subsumption: (283) {G2,W10,D3,L2,V2,M1} R(22,3) { product( inverse( X ), Y
% 2.14/2.55 , skol1 ), ! product( skol1, X, Y ) }.
% 2.14/2.55 parent0: (31343) {G1,W10,D3,L2,V2,M2} { product( inverse( X ), Y, skol1 )
% 2.14/2.55 , ! product( skol1, X, Y ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := X
% 2.14/2.55 Y := Y
% 2.14/2.55 end
% 2.14/2.55 permutation0:
% 2.14/2.55 0 ==> 0
% 2.14/2.55 1 ==> 1
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 resolution: (31345) {G1,W9,D2,L2,V2,M2} { ! product( X, skol1, Y ),
% 2.14/2.55 product( skol1, Y, X ) }.
% 2.14/2.55 parent0[2]: (24) {G1,W14,D2,L3,V4,M1} R(1,3) { ! product( X, skol1, Y ),
% 2.14/2.55 product( Z, Y, T ), ! product( Z, X, T ) }.
% 2.14/2.55 parent1[0]: (4) {G0,W4,D2,L1,V1,M1} I { product( skol1, X, X ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := X
% 2.14/2.55 Y := Y
% 2.14/2.55 Z := skol1
% 2.14/2.55 T := X
% 2.14/2.55 end
% 2.14/2.55 substitution1:
% 2.14/2.55 X := X
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 subsumption: (385) {G2,W9,D2,L2,V2,M1} R(24,4) { product( skol1, Y, X ), !
% 2.14/2.55 product( X, skol1, Y ) }.
% 2.14/2.55 parent0: (31345) {G1,W9,D2,L2,V2,M2} { ! product( X, skol1, Y ), product(
% 2.14/2.55 skol1, Y, X ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := X
% 2.14/2.55 Y := Y
% 2.14/2.55 end
% 2.14/2.55 permutation0:
% 2.14/2.55 0 ==> 1
% 2.14/2.55 1 ==> 0
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 resolution: (31347) {G1,W10,D3,L2,V3,M2} { ! product( inverse( X ), Y, Z )
% 2.14/2.55 , product( X, Z, Y ) }.
% 2.14/2.55 parent0[2]: (25) {G1,W14,D2,L3,V4,M1} R(1,4) { ! product( X, Y, Z ),
% 2.14/2.55 product( T, Z, Y ), ! product( T, X, skol1 ) }.
% 2.14/2.55 parent1[0]: (5) {G0,W5,D3,L1,V1,M1} I { product( X, inverse( X ), skol1 )
% 2.14/2.55 }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := inverse( X )
% 2.14/2.55 Y := Y
% 2.14/2.55 Z := Z
% 2.14/2.55 T := X
% 2.14/2.55 end
% 2.14/2.55 substitution1:
% 2.14/2.55 X := X
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 subsumption: (438) {G2,W10,D3,L2,V3,M1} R(25,5) { product( X, Z, Y ), !
% 2.14/2.55 product( inverse( X ), Y, Z ) }.
% 2.14/2.55 parent0: (31347) {G1,W10,D3,L2,V3,M2} { ! product( inverse( X ), Y, Z ),
% 2.14/2.55 product( X, Z, Y ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := X
% 2.14/2.55 Y := Y
% 2.14/2.55 Z := Z
% 2.14/2.55 end
% 2.14/2.55 permutation0:
% 2.14/2.55 0 ==> 1
% 2.14/2.55 1 ==> 0
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 resolution: (31348) {G1,W5,D3,L1,V0,M1} { product( skol5, skol3, inverse(
% 2.14/2.55 skol6 ) ) }.
% 2.14/2.55 parent0[1]: (438) {G2,W10,D3,L2,V3,M1} R(25,5) { product( X, Z, Y ), !
% 2.14/2.55 product( inverse( X ), Y, Z ) }.
% 2.14/2.55 parent1[0]: (7) {G0,W6,D3,L1,V0,M1} I { product( inverse( skol5 ), inverse
% 2.14/2.55 ( skol6 ), skol3 ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := skol5
% 2.14/2.55 Y := inverse( skol6 )
% 2.14/2.55 Z := skol3
% 2.14/2.55 end
% 2.14/2.55 substitution1:
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 subsumption: (642) {G3,W5,D3,L1,V0,M1} R(438,7) { product( skol5, skol3,
% 2.14/2.55 inverse( skol6 ) ) }.
% 2.14/2.55 parent0: (31348) {G1,W5,D3,L1,V0,M1} { product( skol5, skol3, inverse(
% 2.14/2.55 skol6 ) ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 end
% 2.14/2.55 permutation0:
% 2.14/2.55 0 ==> 0
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 resolution: (31349) {G3,W7,D3,L1,V0,M1} { product( skol6, inverse( skol6 )
% 2.14/2.55 , skol2( skol4, skol3 ) ) }.
% 2.14/2.55 parent0[1]: (182) {G2,W11,D3,L2,V2,M1} R(20,8) { product( skol6, Y, skol2(
% 2.14/2.55 skol4, X ) ), ! product( skol5, X, Y ) }.
% 2.14/2.55 parent1[0]: (642) {G3,W5,D3,L1,V0,M1} R(438,7) { product( skol5, skol3,
% 2.14/2.55 inverse( skol6 ) ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := skol3
% 2.14/2.55 Y := inverse( skol6 )
% 2.14/2.55 end
% 2.14/2.55 substitution1:
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 subsumption: (18044) {G4,W7,D3,L1,V0,M1} R(182,642) { product( skol6,
% 2.14/2.55 inverse( skol6 ), skol2( skol4, skol3 ) ) }.
% 2.14/2.55 parent0: (31349) {G3,W7,D3,L1,V0,M1} { product( skol6, inverse( skol6 ),
% 2.14/2.55 skol2( skol4, skol3 ) ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 end
% 2.14/2.55 permutation0:
% 2.14/2.55 0 ==> 0
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 resolution: (31350) {G3,W6,D3,L1,V0,M1} { product( skol2( skol4, skol3 ),
% 2.14/2.55 skol1, skol1 ) }.
% 2.14/2.55 parent0[1]: (50) {G2,W10,D3,L2,V2,M1} R(38,5) { product( Y, skol1, skol1 )
% 2.14/2.55 , ! product( X, inverse( X ), Y ) }.
% 2.14/2.55 parent1[0]: (18044) {G4,W7,D3,L1,V0,M1} R(182,642) { product( skol6,
% 2.14/2.55 inverse( skol6 ), skol2( skol4, skol3 ) ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := skol6
% 2.14/2.55 Y := skol2( skol4, skol3 )
% 2.14/2.55 end
% 2.14/2.55 substitution1:
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 subsumption: (18100) {G5,W6,D3,L1,V0,M1} R(18044,50) { product( skol2(
% 2.14/2.55 skol4, skol3 ), skol1, skol1 ) }.
% 2.14/2.55 parent0: (31350) {G3,W6,D3,L1,V0,M1} { product( skol2( skol4, skol3 ),
% 2.14/2.55 skol1, skol1 ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 end
% 2.14/2.55 permutation0:
% 2.14/2.55 0 ==> 0
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 resolution: (31351) {G3,W6,D3,L1,V0,M1} { product( skol1, skol1, skol2(
% 2.14/2.55 skol4, skol3 ) ) }.
% 2.14/2.55 parent0[1]: (385) {G2,W9,D2,L2,V2,M1} R(24,4) { product( skol1, Y, X ), !
% 2.14/2.55 product( X, skol1, Y ) }.
% 2.14/2.55 parent1[0]: (18100) {G5,W6,D3,L1,V0,M1} R(18044,50) { product( skol2( skol4
% 2.14/2.55 , skol3 ), skol1, skol1 ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := skol2( skol4, skol3 )
% 2.14/2.55 Y := skol1
% 2.14/2.55 end
% 2.14/2.55 substitution1:
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 subsumption: (18143) {G6,W6,D3,L1,V0,M1} R(18100,385) { product( skol1,
% 2.14/2.55 skol1, skol2( skol4, skol3 ) ) }.
% 2.14/2.55 parent0: (31351) {G3,W6,D3,L1,V0,M1} { product( skol1, skol1, skol2( skol4
% 2.14/2.55 , skol3 ) ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 end
% 2.14/2.55 permutation0:
% 2.14/2.55 0 ==> 0
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 resolution: (31352) {G3,W6,D3,L1,V1,M1} { product( skol2( skol4, skol3 ),
% 2.14/2.55 X, X ) }.
% 2.14/2.55 parent0[1]: (119) {G2,W9,D2,L2,V2,M1} R(15,4) { product( X, Y, Y ), !
% 2.14/2.55 product( skol1, skol1, X ) }.
% 2.14/2.55 parent1[0]: (18143) {G6,W6,D3,L1,V0,M1} R(18100,385) { product( skol1,
% 2.14/2.55 skol1, skol2( skol4, skol3 ) ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := skol2( skol4, skol3 )
% 2.14/2.55 Y := X
% 2.14/2.55 end
% 2.14/2.55 substitution1:
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 subsumption: (18302) {G7,W6,D3,L1,V1,M1} R(18143,119) { product( skol2(
% 2.14/2.55 skol4, skol3 ), X, X ) }.
% 2.14/2.55 parent0: (31352) {G3,W6,D3,L1,V1,M1} { product( skol2( skol4, skol3 ), X,
% 2.14/2.55 X ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := X
% 2.14/2.55 end
% 2.14/2.55 permutation0:
% 2.14/2.55 0 ==> 0
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 resolution: (31353) {G3,W7,D4,L1,V0,M1} { product( inverse( skol2( skol4,
% 2.14/2.55 skol3 ) ), skol1, skol1 ) }.
% 2.14/2.55 parent0[1]: (50) {G2,W10,D3,L2,V2,M1} R(38,5) { product( Y, skol1, skol1 )
% 2.14/2.55 , ! product( X, inverse( X ), Y ) }.
% 2.14/2.55 parent1[0]: (18302) {G7,W6,D3,L1,V1,M1} R(18143,119) { product( skol2(
% 2.14/2.55 skol4, skol3 ), X, X ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := skol2( skol4, skol3 )
% 2.14/2.55 Y := inverse( skol2( skol4, skol3 ) )
% 2.14/2.55 end
% 2.14/2.55 substitution1:
% 2.14/2.55 X := inverse( skol2( skol4, skol3 ) )
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 subsumption: (18334) {G8,W7,D4,L1,V0,M1} R(18302,50) { product( inverse(
% 2.14/2.55 skol2( skol4, skol3 ) ), skol1, skol1 ) }.
% 2.14/2.55 parent0: (31353) {G3,W7,D4,L1,V0,M1} { product( inverse( skol2( skol4,
% 2.14/2.55 skol3 ) ), skol1, skol1 ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 end
% 2.14/2.55 permutation0:
% 2.14/2.55 0 ==> 0
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 resolution: (31354) {G3,W7,D4,L1,V0,M1} { product( skol1, skol1, inverse(
% 2.14/2.55 skol2( skol4, skol3 ) ) ) }.
% 2.14/2.55 parent0[1]: (385) {G2,W9,D2,L2,V2,M1} R(24,4) { product( skol1, Y, X ), !
% 2.14/2.55 product( X, skol1, Y ) }.
% 2.14/2.55 parent1[0]: (18334) {G8,W7,D4,L1,V0,M1} R(18302,50) { product( inverse(
% 2.14/2.55 skol2( skol4, skol3 ) ), skol1, skol1 ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := inverse( skol2( skol4, skol3 ) )
% 2.14/2.55 Y := skol1
% 2.14/2.55 end
% 2.14/2.55 substitution1:
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 subsumption: (18932) {G9,W7,D4,L1,V0,M1} R(18334,385) { product( skol1,
% 2.14/2.55 skol1, inverse( skol2( skol4, skol3 ) ) ) }.
% 2.14/2.55 parent0: (31354) {G3,W7,D4,L1,V0,M1} { product( skol1, skol1, inverse(
% 2.14/2.55 skol2( skol4, skol3 ) ) ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 end
% 2.14/2.55 permutation0:
% 2.14/2.55 0 ==> 0
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 resolution: (31355) {G3,W7,D4,L1,V1,M1} { product( X, inverse( skol2(
% 2.14/2.55 skol4, skol3 ) ), X ) }.
% 2.14/2.55 parent0[1]: (83) {G2,W9,D2,L2,V2,M1} R(12,3) { product( Y, X, Y ), !
% 2.14/2.55 product( skol1, skol1, X ) }.
% 2.14/2.55 parent1[0]: (18932) {G9,W7,D4,L1,V0,M1} R(18334,385) { product( skol1,
% 2.14/2.55 skol1, inverse( skol2( skol4, skol3 ) ) ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := inverse( skol2( skol4, skol3 ) )
% 2.14/2.55 Y := X
% 2.14/2.55 end
% 2.14/2.55 substitution1:
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 subsumption: (19011) {G10,W7,D4,L1,V1,M1} R(18932,83) { product( X, inverse
% 2.14/2.55 ( skol2( skol4, skol3 ) ), X ) }.
% 2.14/2.55 parent0: (31355) {G3,W7,D4,L1,V1,M1} { product( X, inverse( skol2( skol4,
% 2.14/2.55 skol3 ) ), X ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := X
% 2.14/2.55 end
% 2.14/2.55 permutation0:
% 2.14/2.55 0 ==> 0
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 resolution: (31356) {G3,W4,D2,L1,V0,M1} { product( skol4, skol3, skol1 )
% 2.14/2.55 }.
% 2.14/2.55 parent0[1]: (230) {G2,W12,D4,L2,V3,M1} R(21,0) { product( Y, Z, skol1 ), !
% 2.14/2.55 product( X, inverse( skol2( Y, X ) ), Z ) }.
% 2.14/2.55 parent1[0]: (19011) {G10,W7,D4,L1,V1,M1} R(18932,83) { product( X, inverse
% 2.14/2.55 ( skol2( skol4, skol3 ) ), X ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := skol3
% 2.14/2.55 Y := skol4
% 2.14/2.55 Z := skol3
% 2.14/2.55 end
% 2.14/2.55 substitution1:
% 2.14/2.55 X := skol3
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 subsumption: (24619) {G11,W4,D2,L1,V0,M1} R(230,19011) { product( skol4,
% 2.14/2.55 skol3, skol1 ) }.
% 2.14/2.55 parent0: (31356) {G3,W4,D2,L1,V0,M1} { product( skol4, skol3, skol1 ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 end
% 2.14/2.55 permutation0:
% 2.14/2.55 0 ==> 0
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 resolution: (31357) {G3,W7,D3,L1,V0,M1} { product( inverse( skol4 ), skol1
% 2.14/2.55 , skol2( skol1, skol3 ) ) }.
% 2.14/2.55 parent0[1]: (181) {G2,W12,D3,L2,V3,M1} R(20,6) { product( inverse( X ), Z,
% 2.14/2.55 skol2( skol1, Y ) ), ! product( X, Y, Z ) }.
% 2.14/2.55 parent1[0]: (24619) {G11,W4,D2,L1,V0,M1} R(230,19011) { product( skol4,
% 2.14/2.55 skol3, skol1 ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := skol4
% 2.14/2.55 Y := skol3
% 2.14/2.55 Z := skol1
% 2.14/2.55 end
% 2.14/2.55 substitution1:
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 subsumption: (24706) {G12,W7,D3,L1,V0,M1} R(24619,181) { product( inverse(
% 2.14/2.55 skol4 ), skol1, skol2( skol1, skol3 ) ) }.
% 2.14/2.55 parent0: (31357) {G3,W7,D3,L1,V0,M1} { product( inverse( skol4 ), skol1,
% 2.14/2.55 skol2( skol1, skol3 ) ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 end
% 2.14/2.55 permutation0:
% 2.14/2.55 0 ==> 0
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 resolution: (31358) {G3,W7,D3,L1,V0,M1} { product( skol2( skol1, skol3 ),
% 2.14/2.55 skol1, inverse( skol4 ) ) }.
% 2.14/2.55 parent0[1]: (53) {G2,W9,D2,L2,V2,M1} R(38,3) { product( Y, skol1, X ), !
% 2.14/2.55 product( X, skol1, Y ) }.
% 2.14/2.55 parent1[0]: (24706) {G12,W7,D3,L1,V0,M1} R(24619,181) { product( inverse(
% 2.14/2.55 skol4 ), skol1, skol2( skol1, skol3 ) ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := inverse( skol4 )
% 2.14/2.55 Y := skol2( skol1, skol3 )
% 2.14/2.55 end
% 2.14/2.55 substitution1:
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 subsumption: (24765) {G13,W7,D3,L1,V0,M1} R(24706,53) { product( skol2(
% 2.14/2.55 skol1, skol3 ), skol1, inverse( skol4 ) ) }.
% 2.14/2.55 parent0: (31358) {G3,W7,D3,L1,V0,M1} { product( skol2( skol1, skol3 ),
% 2.14/2.55 skol1, inverse( skol4 ) ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 end
% 2.14/2.55 permutation0:
% 2.14/2.55 0 ==> 0
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 resolution: (31359) {G5,W5,D3,L1,V0,M1} { product( inverse( skol4 ), skol1
% 2.14/2.55 , skol3 ) }.
% 2.14/2.55 parent0[1]: (75) {G4,W11,D3,L2,V2,M1} R(72,38) { product( Y, skol1, X ), !
% 2.14/2.55 product( skol2( skol1, X ), skol1, Y ) }.
% 2.14/2.55 parent1[0]: (24765) {G13,W7,D3,L1,V0,M1} R(24706,53) { product( skol2(
% 2.14/2.55 skol1, skol3 ), skol1, inverse( skol4 ) ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := skol3
% 2.14/2.55 Y := inverse( skol4 )
% 2.14/2.55 end
% 2.14/2.55 substitution1:
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 subsumption: (24904) {G14,W5,D3,L1,V0,M1} R(24765,75) { product( inverse(
% 2.14/2.55 skol4 ), skol1, skol3 ) }.
% 2.14/2.55 parent0: (31359) {G5,W5,D3,L1,V0,M1} { product( inverse( skol4 ), skol1,
% 2.14/2.55 skol3 ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 end
% 2.14/2.55 permutation0:
% 2.14/2.55 0 ==> 0
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 resolution: (31360) {G3,W5,D3,L1,V0,M1} { product( skol1, skol3, inverse(
% 2.14/2.55 skol4 ) ) }.
% 2.14/2.55 parent0[1]: (385) {G2,W9,D2,L2,V2,M1} R(24,4) { product( skol1, Y, X ), !
% 2.14/2.55 product( X, skol1, Y ) }.
% 2.14/2.55 parent1[0]: (24904) {G14,W5,D3,L1,V0,M1} R(24765,75) { product( inverse(
% 2.14/2.55 skol4 ), skol1, skol3 ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := inverse( skol4 )
% 2.14/2.55 Y := skol3
% 2.14/2.55 end
% 2.14/2.55 substitution1:
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 subsumption: (24945) {G15,W5,D3,L1,V0,M1} R(24904,385) { product( skol1,
% 2.14/2.55 skol3, inverse( skol4 ) ) }.
% 2.14/2.55 parent0: (31360) {G3,W5,D3,L1,V0,M1} { product( skol1, skol3, inverse(
% 2.14/2.55 skol4 ) ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 end
% 2.14/2.55 permutation0:
% 2.14/2.55 0 ==> 0
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 resolution: (31361) {G3,W6,D3,L1,V0,M1} { product( inverse( skol3 ),
% 2.14/2.55 inverse( skol4 ), skol1 ) }.
% 2.14/2.55 parent0[1]: (283) {G2,W10,D3,L2,V2,M1} R(22,3) { product( inverse( X ), Y,
% 2.14/2.55 skol1 ), ! product( skol1, X, Y ) }.
% 2.14/2.55 parent1[0]: (24945) {G15,W5,D3,L1,V0,M1} R(24904,385) { product( skol1,
% 2.14/2.55 skol3, inverse( skol4 ) ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 X := skol3
% 2.14/2.55 Y := inverse( skol4 )
% 2.14/2.55 end
% 2.14/2.55 substitution1:
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 resolution: (31362) {G1,W0,D0,L0,V0,M0} { }.
% 2.14/2.55 parent0[0]: (9) {G0,W7,D3,L1,V0,M1} I { ! product( inverse( skol3 ),
% 2.14/2.55 inverse( skol4 ), skol1 ) }.
% 2.14/2.55 parent1[0]: (31361) {G3,W6,D3,L1,V0,M1} { product( inverse( skol3 ),
% 2.14/2.55 inverse( skol4 ), skol1 ) }.
% 2.14/2.55 substitution0:
% 2.14/2.55 end
% 2.14/2.55 substitution1:
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 subsumption: (31204) {G16,W0,D0,L0,V0,M0} R(283,24945);r(9) { }.
% 2.14/2.55 parent0: (31362) {G1,W0,D0,L0,V0,M0} { }.
% 2.14/2.55 substitution0:
% 2.14/2.55 end
% 2.14/2.55 permutation0:
% 2.14/2.55 end
% 2.14/2.55
% 2.14/2.55 Proof check complete!
% 2.14/2.55
% 2.14/2.55 Memory use:
% 2.14/2.55
% 2.14/2.55 space for terms: 434916
% 2.14/2.55 space for clauses: 1755964
% 2.14/2.55
% 2.14/2.55
% 2.14/2.55 clauses generated: 43440
% 2.14/2.55 clauses kept: 31205
% 2.14/2.55 clauses selected: 904
% 2.14/2.55 clauses deleted: 2259
% 2.14/2.55 clauses inuse deleted: 92
% 2.14/2.55
% 2.14/2.55 subsentry: 411575
% 2.14/2.55 literals s-matched: 148488
% 2.14/2.55 literals matched: 118560
% 2.14/2.55 full subsumption: 9893
% 2.14/2.55
% 2.14/2.55 checksum: -289676483
% 2.14/2.55
% 2.14/2.55
% 2.14/2.55 Bliksem ended
%------------------------------------------------------------------------------