TSTP Solution File: GRP777+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP777+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.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 07:39:32 EDT 2022
% Result : Theorem 0.85s 1.20s
% Output : Refutation 0.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP777+1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Mon Jun 13 08:17:32 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.85/1.20 *** allocated 10000 integers for termspace/termends
% 0.85/1.20 *** allocated 10000 integers for clauses
% 0.85/1.20 *** allocated 10000 integers for justifications
% 0.85/1.20 Bliksem 1.12
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 Automatic Strategy Selection
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 Clauses:
% 0.85/1.20
% 0.85/1.20 { difference( Y, product( Y, X ) ) = X }.
% 0.85/1.20 { product( Y, difference( Y, X ) ) = X }.
% 0.85/1.20 { quotient( product( Y, X ), X ) = Y }.
% 0.85/1.20 { product( quotient( Y, X ), X ) = Y }.
% 0.85/1.20 { product( product( T, Z ), product( Y, X ) ) = product( product( T, Y ),
% 0.85/1.20 product( Z, X ) ) }.
% 0.85/1.20 { product( X, X ) = X }.
% 0.85/1.20 { product( product( product( Y, X ), X ), product( X, product( X, Y ) ) ) =
% 0.85/1.20 X }.
% 0.85/1.20 { bigC( Z, Y, X ) = product( product( Z, Y ), product( X, Z ) ) }.
% 0.85/1.20 { product( product( a, c ), product( c, b ) ) = product( a, b ) }.
% 0.85/1.20 { ! bigC( a, b, skol1 ) = bigC( c, c, skol1 ) }.
% 0.85/1.20
% 0.85/1.20 percentage equality = 1.000000, percentage horn = 1.000000
% 0.85/1.20 This is a pure equality problem
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 Options Used:
% 0.85/1.20
% 0.85/1.20 useres = 1
% 0.85/1.20 useparamod = 1
% 0.85/1.20 useeqrefl = 1
% 0.85/1.20 useeqfact = 1
% 0.85/1.20 usefactor = 1
% 0.85/1.20 usesimpsplitting = 0
% 0.85/1.20 usesimpdemod = 5
% 0.85/1.20 usesimpres = 3
% 0.85/1.20
% 0.85/1.20 resimpinuse = 1000
% 0.85/1.20 resimpclauses = 20000
% 0.85/1.20 substype = eqrewr
% 0.85/1.20 backwardsubs = 1
% 0.85/1.20 selectoldest = 5
% 0.85/1.20
% 0.85/1.20 litorderings [0] = split
% 0.85/1.20 litorderings [1] = extend the termordering, first sorting on arguments
% 0.85/1.20
% 0.85/1.20 termordering = kbo
% 0.85/1.20
% 0.85/1.20 litapriori = 0
% 0.85/1.20 termapriori = 1
% 0.85/1.20 litaposteriori = 0
% 0.85/1.20 termaposteriori = 0
% 0.85/1.20 demodaposteriori = 0
% 0.85/1.20 ordereqreflfact = 0
% 0.85/1.20
% 0.85/1.20 litselect = negord
% 0.85/1.20
% 0.85/1.20 maxweight = 15
% 0.85/1.20 maxdepth = 30000
% 0.85/1.20 maxlength = 115
% 0.85/1.20 maxnrvars = 195
% 0.85/1.20 excuselevel = 1
% 0.85/1.20 increasemaxweight = 1
% 0.85/1.20
% 0.85/1.20 maxselected = 10000000
% 0.85/1.20 maxnrclauses = 10000000
% 0.85/1.20
% 0.85/1.20 showgenerated = 0
% 0.85/1.20 showkept = 0
% 0.85/1.20 showselected = 0
% 0.85/1.20 showdeleted = 0
% 0.85/1.20 showresimp = 1
% 0.85/1.20 showstatus = 2000
% 0.85/1.20
% 0.85/1.20 prologoutput = 0
% 0.85/1.20 nrgoals = 5000000
% 0.85/1.20 totalproof = 1
% 0.85/1.20
% 0.85/1.20 Symbols occurring in the translation:
% 0.85/1.20
% 0.85/1.20 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.85/1.20 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.85/1.20 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.85/1.20 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.85/1.20 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.85/1.20 product [37, 2] (w:1, o:44, a:1, s:1, b:0),
% 0.85/1.20 difference [38, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.85/1.20 quotient [39, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.85/1.20 bigC [42, 3] (w:1, o:47, a:1, s:1, b:0),
% 0.85/1.20 a [43, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.85/1.20 c [44, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.85/1.20 b [45, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.85/1.20 skol1 [47, 0] (w:1, o:14, a:1, s:1, b:1).
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 Starting Search:
% 0.85/1.20
% 0.85/1.20 *** allocated 15000 integers for clauses
% 0.85/1.20 *** allocated 22500 integers for clauses
% 0.85/1.20 *** allocated 33750 integers for clauses
% 0.85/1.20 *** allocated 50625 integers for clauses
% 0.85/1.20 *** allocated 75937 integers for clauses
% 0.85/1.20 *** allocated 113905 integers for clauses
% 0.85/1.20
% 0.85/1.20 Bliksems!, er is een bewijs:
% 0.85/1.20 % SZS status Theorem
% 0.85/1.20 % SZS output start Refutation
% 0.85/1.20
% 0.85/1.20 (0) {G0,W7,D4,L1,V2,M1} I { difference( Y, product( Y, X ) ) ==> X }.
% 0.85/1.20 (1) {G0,W7,D4,L1,V2,M1} I { product( Y, difference( Y, X ) ) ==> X }.
% 0.85/1.20 (2) {G0,W7,D4,L1,V2,M1} I { quotient( product( Y, X ), X ) ==> Y }.
% 0.85/1.20 (3) {G0,W7,D4,L1,V2,M1} I { product( quotient( Y, X ), X ) ==> Y }.
% 0.85/1.20 (4) {G0,W15,D4,L1,V4,M1} I { product( product( T, Z ), product( Y, X ) ) =
% 0.85/1.20 product( product( T, Y ), product( Z, X ) ) }.
% 0.85/1.20 (5) {G0,W5,D3,L1,V1,M1} I { product( X, X ) ==> X }.
% 0.85/1.20 (6) {G0,W13,D5,L1,V2,M1} I { product( product( product( Y, X ), X ),
% 0.85/1.20 product( X, product( X, Y ) ) ) ==> X }.
% 0.85/1.20 (7) {G0,W12,D4,L1,V3,M1} I { product( product( Z, Y ), product( X, Z ) )
% 0.85/1.20 ==> bigC( Z, Y, X ) }.
% 0.85/1.20 (8) {G0,W11,D4,L1,V0,M1} I { product( product( a, c ), product( c, b ) )
% 0.85/1.20 ==> product( a, b ) }.
% 0.85/1.20 (9) {G0,W9,D3,L1,V0,M1} I { ! bigC( c, c, skol1 ) ==> bigC( a, b, skol1 )
% 0.85/1.20 }.
% 0.85/1.20 (11) {G1,W7,D4,L1,V2,M1} P(1,2) { quotient( Y, difference( X, Y ) ) ==> X
% 0.85/1.20 }.
% 0.85/1.20 (12) {G1,W7,D4,L1,V2,M1} P(3,0) { difference( quotient( X, Y ), X ) ==> Y
% 0.85/1.20 }.
% 0.85/1.20 (16) {G1,W15,D5,L1,V4,M1} P(4,0) { difference( product( X, Y ), product(
% 0.85/1.20 product( X, Z ), product( Y, T ) ) ) ==> product( Z, T ) }.
% 0.85/1.20 (17) {G1,W15,D5,L1,V4,M1} P(1,4) { product( product( X, Z ), product(
% 0.85/1.20 difference( X, Y ), T ) ) ==> product( Y, product( Z, T ) ) }.
% 0.85/1.20 (18) {G1,W15,D5,L1,V4,M1} P(1,4) { product( product( Z, X ), product( T,
% 0.85/1.20 difference( X, Y ) ) ) ==> product( product( Z, T ), Y ) }.
% 0.85/1.20 (19) {G1,W15,D5,L1,V4,M1} P(4,2) { quotient( product( product( X, Z ),
% 0.85/1.20 product( Y, T ) ), product( Z, T ) ) ==> product( X, Y ) }.
% 0.85/1.20 (20) {G1,W15,D5,L1,V4,M1} P(3,4) { product( product( quotient( X, Y ), Z )
% 0.85/1.20 , product( Y, T ) ) ==> product( X, product( Z, T ) ) }.
% 0.85/1.20 (21) {G1,W15,D5,L1,V4,M1} P(3,4) { product( product( Z, quotient( X, Y ) )
% 0.85/1.20 , product( T, Y ) ) ==> product( product( Z, T ), X ) }.
% 0.85/1.20 (22) {G1,W13,D4,L1,V3,M1} P(5,4) { product( product( X, Y ), product( X, Z
% 0.85/1.20 ) ) ==> product( X, product( Y, Z ) ) }.
% 0.85/1.20 (23) {G1,W13,D4,L1,V3,M1} P(5,4) { product( product( Y, X ), product( Z, X
% 0.85/1.20 ) ) ==> product( product( Y, Z ), X ) }.
% 0.85/1.20 (24) {G1,W19,D5,L1,V2,M1} P(8,4) { product( product( product( a, c ), X ),
% 0.85/1.20 product( product( c, b ), Y ) ) ==> product( product( a, b ), product( X
% 0.85/1.20 , Y ) ) }.
% 0.85/1.20 (25) {G1,W19,D5,L1,V2,M1} P(8,4) { product( product( X, product( a, c ) ),
% 0.85/1.20 product( Y, product( c, b ) ) ) ==> product( product( X, Y ), product( a
% 0.85/1.20 , b ) ) }.
% 0.85/1.20 (32) {G1,W9,D3,L1,V3,M1} P(7,4);d(7) { bigC( X, Y, Z ) = bigC( X, Z, Y )
% 0.85/1.20 }.
% 0.85/1.20 (40) {G1,W12,D4,L1,V3,M1} P(3,7) { bigC( Y, Z, quotient( X, Y ) ) ==>
% 0.85/1.20 product( product( Y, Z ), X ) }.
% 0.85/1.20 (41) {G1,W6,D3,L1,V1,M1} P(7,5);d(5) { bigC( X, X, X ) ==> X }.
% 0.85/1.20 (42) {G1,W10,D4,L1,V2,M1} P(5,7) { product( X, product( Y, X ) ) ==> bigC(
% 0.85/1.20 X, X, Y ) }.
% 0.85/1.20 (43) {G1,W10,D4,L1,V2,M1} P(5,7) { product( product( X, Y ), X ) ==> bigC(
% 0.85/1.20 X, Y, X ) }.
% 0.85/1.20 (49) {G2,W14,D5,L1,V0,M1} P(8,6);d(7);d(22);d(25) { product( product( bigC
% 0.85/1.20 ( c, b, a ), a ), product( a, b ) ) ==> product( a, c ) }.
% 0.85/1.20 (50) {G1,W21,D6,L1,V4,M1} P(6,4) { product( product( product( product( X, Y
% 0.85/1.20 ), Y ), Z ), product( product( Y, product( Y, X ) ), T ) ) ==> product(
% 0.85/1.20 Y, product( Z, T ) ) }.
% 0.85/1.20 (51) {G1,W21,D6,L1,V4,M1} P(6,4) { product( product( Z, product( product( X
% 0.85/1.20 , Y ), Y ) ), product( T, product( Y, product( Y, X ) ) ) ) ==> product(
% 0.85/1.20 product( Z, T ), Y ) }.
% 0.85/1.20 (52) {G1,W23,D6,L1,V3,M1} P(4,6) { product( product( product( X, Y ),
% 0.85/1.20 product( product( Y, Z ), Z ) ), product( product( Y, Z ), product(
% 0.85/1.20 product( Y, Z ), X ) ) ) ==> product( Y, Z ) }.
% 0.85/1.20 (62) {G2,W9,D3,L1,V0,M1} P(32,9) { ! bigC( a, b, skol1 ) ==> bigC( c, skol1
% 0.85/1.20 , c ) }.
% 0.85/1.20 (66) {G2,W10,D4,L1,V2,M1} P(42,0) { difference( X, bigC( X, X, Y ) ) ==>
% 0.85/1.20 product( Y, X ) }.
% 0.85/1.20 (68) {G3,W10,D4,L1,V2,M1} P(32,66) { difference( X, bigC( X, Y, X ) ) ==>
% 0.85/1.20 product( Y, X ) }.
% 0.85/1.20 (69) {G4,W10,D4,L1,V2,M1} P(68,11) { quotient( bigC( X, Y, X ), product( Y
% 0.85/1.20 , X ) ) ==> X }.
% 0.85/1.20 (71) {G5,W10,D5,L1,V2,M1} P(3,69) { quotient( bigC( Y, quotient( X, Y ), Y
% 0.85/1.20 ), X ) ==> Y }.
% 0.85/1.20 (76) {G2,W10,D4,L1,V2,M1} P(43,2) { quotient( bigC( X, Y, X ), X ) ==>
% 0.85/1.20 product( X, Y ) }.
% 0.85/1.20 (78) {G3,W10,D4,L1,V2,M1} P(32,76) { quotient( bigC( X, X, Y ), X ) ==>
% 0.85/1.20 product( X, Y ) }.
% 0.85/1.20 (80) {G2,W12,D4,L1,V3,M1} P(7,16) { difference( product( X, Z ), bigC( X, Y
% 0.85/1.20 , Z ) ) ==> product( Y, X ) }.
% 0.85/1.20 (82) {G2,W15,D5,L1,V4,M1} P(1,16) { difference( product( Z, X ), product(
% 0.85/1.20 product( Z, T ), Y ) ) ==> product( T, difference( X, Y ) ) }.
% 0.85/1.20 (85) {G6,W10,D4,L1,V2,M1} P(71,3) { bigC( X, quotient( Y, X ), X ) ==>
% 0.85/1.20 product( X, Y ) }.
% 0.85/1.20 (87) {G7,W11,D4,L1,V2,M1} P(85,76) { quotient( product( X, Y ), X ) ==>
% 0.85/1.20 product( X, quotient( Y, X ) ) }.
% 0.85/1.20 (90) {G8,W11,D5,L1,V2,M1} P(87,12) { difference( product( X, quotient( Y, X
% 0.85/1.20 ) ), product( X, Y ) ) ==> X }.
% 0.85/1.20 (91) {G8,W11,D5,L1,V2,M1} P(1,87) { product( X, quotient( difference( X, Y
% 0.85/1.20 ), X ) ) ==> quotient( Y, X ) }.
% 0.85/1.20 (93) {G2,W12,D4,L1,V3,M1} P(17,7) { bigC( X, Y, difference( X, Z ) ) ==>
% 0.85/1.20 product( Z, product( Y, X ) ) }.
% 0.85/1.20 (110) {G9,W11,D4,L1,V2,M1} P(91,0) { quotient( difference( X, Y ), X ) ==>
% 0.85/1.20 difference( X, quotient( Y, X ) ) }.
% 0.85/1.20 (111) {G10,W11,D5,L1,V2,M1} P(110,12) { difference( difference( X, quotient
% 0.85/1.20 ( Y, X ) ), difference( X, Y ) ) ==> X }.
% 0.85/1.20 (115) {G11,W11,D5,L1,V2,M1} P(71,111);d(85) { difference( difference( Y, X
% 0.85/1.20 ), difference( Y, product( X, Y ) ) ) ==> Y }.
% 0.85/1.20 (126) {G12,W11,D4,L1,V2,M1} P(115,1) { difference( X, product( Y, X ) ) ==>
% 0.85/1.20 product( difference( X, Y ), X ) }.
% 0.85/1.20 (127) {G13,W11,D5,L1,V2,M1} P(126,11) { quotient( product( Y, X ), product
% 0.85/1.20 ( difference( X, Y ), X ) ) ==> X }.
% 0.85/1.20 (138) {G2,W15,D5,L1,V4,M1} P(3,19) { quotient( product( X, product( Z, T )
% 0.85/1.20 ), product( Y, T ) ) ==> product( quotient( X, Y ), Z ) }.
% 0.85/1.20 (139) {G2,W15,D5,L1,V4,M1} P(3,19) { quotient( product( product( Z, T ), X
% 0.85/1.20 ), product( T, Y ) ) ==> product( Z, quotient( X, Y ) ) }.
% 0.85/1.20 (145) {G4,W15,D4,L1,V3,M1} P(68,93) { product( bigC( X, Y, X ), product( Z
% 0.85/1.20 , X ) ) ==> bigC( X, Z, product( Y, X ) ) }.
% 0.85/1.20 (160) {G2,W12,D4,L1,V3,M1} P(40,32) { bigC( X, quotient( Z, X ), Y ) ==>
% 0.85/1.20 product( product( X, Y ), Z ) }.
% 0.85/1.20 (165) {G2,W13,D5,L1,V3,M1} P(5,21) { product( product( Y, quotient( Z, X )
% 0.85/1.20 ), X ) ==> product( product( Y, X ), Z ) }.
% 0.85/1.20 (170) {G5,W14,D5,L1,V3,M1} P(43,23);d(145) { product( product( product( X,
% 0.85/1.20 Y ), Z ), X ) ==> bigC( X, Z, product( Y, X ) ) }.
% 0.85/1.20 (204) {G3,W13,D5,L1,V3,M1} P(165,2) { quotient( product( product( X, Z ), Y
% 0.85/1.20 ), Z ) ==> product( X, quotient( Y, Z ) ) }.
% 0.85/1.20 (206) {G4,W12,D4,L1,V2,M1} P(43,204) { quotient( bigC( X, Y, X ), Y ) ==>
% 0.85/1.20 product( X, quotient( X, Y ) ) }.
% 0.85/1.20 (211) {G4,W13,D4,L1,V3,M1} P(3,204) { product( quotient( X, Y ), quotient(
% 0.85/1.20 Z, Y ) ) ==> quotient( product( X, Z ), Y ) }.
% 0.85/1.20 (223) {G7,W13,D5,L1,V3,M1} P(71,211);d(85) { quotient( product( Z, product
% 0.85/1.20 ( X, Y ) ), Y ) ==> product( quotient( Z, Y ), X ) }.
% 0.85/1.20 (233) {G8,W13,D5,L1,V2,M1} P(6,223);d(139) { product( product( X, quotient
% 0.85/1.20 ( Y, X ) ), Y ) ==> quotient( Y, product( Y, X ) ) }.
% 0.85/1.20 (235) {G8,W9,D5,L1,V0,M1} P(8,223);d(2) { product( quotient( product( a, c
% 0.85/1.20 ), b ), c ) ==> a }.
% 0.85/1.20 (244) {G9,W13,D4,L1,V1,M1} P(235,20) { product( product( a, c ), product( c
% 0.85/1.20 , X ) ) ==> product( a, product( b, X ) ) }.
% 0.85/1.20 (299) {G10,W11,D4,L1,V0,M1} P(244,23) { product( a, product( b, c ) ) ==>
% 0.85/1.20 product( product( a, c ), c ) }.
% 0.85/1.20 (301) {G10,W9,D3,L1,V0,M1} P(244,7);d(42) { bigC( a, c, c ) ==> bigC( a, a
% 0.85/1.20 , b ) }.
% 0.85/1.20 (307) {G11,W11,D6,L1,V0,M1} P(299,90);d(82) { product( c, difference(
% 0.85/1.20 quotient( product( b, c ), a ), c ) ) ==> a }.
% 0.85/1.20 (316) {G12,W13,D4,L1,V1,M1} P(307,18);d(165) { product( product( X, a ),
% 0.85/1.20 product( b, c ) ) ==> product( product( X, c ), c ) }.
% 0.85/1.20 (337) {G13,W6,D3,L1,V0,M1} P(316,7);d(43);d(41) { bigC( c, a, b ) ==> c }.
% 0.85/1.20 (343) {G14,W9,D4,L1,V0,M1} P(337,80) { difference( product( c, b ), c ) ==>
% 0.85/1.20 product( a, c ) }.
% 0.85/1.20 (345) {G14,W6,D3,L1,V0,M1} P(337,32) { bigC( c, b, a ) ==> c }.
% 0.85/1.20 (348) {G15,W9,D4,L1,V0,M1} P(343,127);d(8);d(138) { product( quotient( c, a
% 0.85/1.20 ), c ) ==> product( c, b ) }.
% 0.85/1.20 (353) {G16,W15,D5,L1,V1,M1} P(348,23) { product( product( X, c ), product(
% 0.85/1.20 c, b ) ) ==> product( product( X, quotient( c, a ) ), c ) }.
% 0.85/1.20 (390) {G15,W11,D4,L1,V0,M1} S(49);d(345) { product( product( c, a ),
% 0.85/1.20 product( a, b ) ) ==> product( a, c ) }.
% 0.85/1.20 (428) {G17,W13,D5,L1,V1,M1} P(50,25);d(353);d(233);d(6) { product( Y,
% 0.85/1.20 quotient( c, product( c, a ) ) ) ==> product( Y, product( a, b ) ) }.
% 0.85/1.20 (464) {G17,W13,D5,L1,V1,M1} P(51,24);d(353);d(233);d(6) { product( quotient
% 0.85/1.20 ( c, product( c, a ) ), Y ) ==> product( product( a, b ), Y ) }.
% 0.85/1.20 (466) {G18,W9,D4,L1,V0,M1} P(25,52);d(353);d(233);d(428);d(464);d(464);d(6)
% 0.85/1.20 { quotient( c, product( c, a ) ) ==> product( a, b ) }.
% 0.85/1.20 (469) {G19,W15,D4,L1,V1,M1} P(466,160);d(170) { bigC( product( c, a ),
% 0.85/1.20 product( a, b ), X ) ==> bigC( c, X, product( a, c ) ) }.
% 0.85/1.20 (475) {G20,W13,D4,L1,V0,M1} P(466,85);d(469);d(43) { bigC( c, product( c, a
% 0.85/1.20 ), product( a, c ) ) ==> bigC( c, a, c ) }.
% 0.85/1.20 (497) {G21,W9,D3,L1,V0,M1} P(390,43);d(7);d(301);d(469);d(475) { bigC( c, a
% 0.85/1.20 , c ) ==> bigC( a, a, b ) }.
% 0.85/1.20 (499) {G22,W9,D4,L1,V0,M1} P(497,206);d(78) { product( c, quotient( c, a )
% 0.85/1.20 ) ==> product( a, b ) }.
% 0.85/1.20 (548) {G23,W9,D3,L1,V1,M1} P(499,21);d(7);d(43) { bigC( a, b, X ) = bigC( c
% 0.85/1.20 , X, c ) }.
% 0.85/1.20 (632) {G24,W0,D0,L0,V0,M0} P(548,62);q { }.
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 % SZS output end Refutation
% 0.85/1.20 found a proof!
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 Unprocessed initial clauses:
% 0.85/1.20
% 0.85/1.20 (634) {G0,W7,D4,L1,V2,M1} { difference( Y, product( Y, X ) ) = X }.
% 0.85/1.20 (635) {G0,W7,D4,L1,V2,M1} { product( Y, difference( Y, X ) ) = X }.
% 0.85/1.20 (636) {G0,W7,D4,L1,V2,M1} { quotient( product( Y, X ), X ) = Y }.
% 0.85/1.20 (637) {G0,W7,D4,L1,V2,M1} { product( quotient( Y, X ), X ) = Y }.
% 0.85/1.20 (638) {G0,W15,D4,L1,V4,M1} { product( product( T, Z ), product( Y, X ) ) =
% 0.85/1.20 product( product( T, Y ), product( Z, X ) ) }.
% 0.85/1.20 (639) {G0,W5,D3,L1,V1,M1} { product( X, X ) = X }.
% 0.85/1.20 (640) {G0,W13,D5,L1,V2,M1} { product( product( product( Y, X ), X ),
% 0.85/1.20 product( X, product( X, Y ) ) ) = X }.
% 0.85/1.20 (641) {G0,W12,D4,L1,V3,M1} { bigC( Z, Y, X ) = product( product( Z, Y ),
% 0.85/1.20 product( X, Z ) ) }.
% 0.85/1.20 (642) {G0,W11,D4,L1,V0,M1} { product( product( a, c ), product( c, b ) ) =
% 0.85/1.20 product( a, b ) }.
% 0.85/1.20 (643) {G0,W9,D3,L1,V0,M1} { ! bigC( a, b, skol1 ) = bigC( c, c, skol1 )
% 0.85/1.20 }.
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 Total Proof:
% 0.85/1.20
% 0.85/1.20 subsumption: (0) {G0,W7,D4,L1,V2,M1} I { difference( Y, product( Y, X ) )
% 0.85/1.20 ==> X }.
% 0.85/1.20 parent0: (634) {G0,W7,D4,L1,V2,M1} { difference( Y, product( Y, X ) ) = X
% 0.85/1.20 }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := X
% 0.85/1.20 Y := Y
% 0.85/1.20 end
% 0.85/1.20 permutation0:
% 0.85/1.20 0 ==> 0
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 subsumption: (1) {G0,W7,D4,L1,V2,M1} I { product( Y, difference( Y, X ) )
% 0.85/1.20 ==> X }.
% 0.85/1.20 parent0: (635) {G0,W7,D4,L1,V2,M1} { product( Y, difference( Y, X ) ) = X
% 0.85/1.20 }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := X
% 0.85/1.20 Y := Y
% 0.85/1.20 end
% 0.85/1.20 permutation0:
% 0.85/1.20 0 ==> 0
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 subsumption: (2) {G0,W7,D4,L1,V2,M1} I { quotient( product( Y, X ), X ) ==>
% 0.85/1.20 Y }.
% 0.85/1.20 parent0: (636) {G0,W7,D4,L1,V2,M1} { quotient( product( Y, X ), X ) = Y
% 0.85/1.20 }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := X
% 0.85/1.20 Y := Y
% 0.85/1.20 end
% 0.85/1.20 permutation0:
% 0.85/1.20 0 ==> 0
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 subsumption: (3) {G0,W7,D4,L1,V2,M1} I { product( quotient( Y, X ), X ) ==>
% 0.85/1.20 Y }.
% 0.85/1.20 parent0: (637) {G0,W7,D4,L1,V2,M1} { product( quotient( Y, X ), X ) = Y
% 0.85/1.20 }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := X
% 0.85/1.20 Y := Y
% 0.85/1.20 end
% 0.85/1.20 permutation0:
% 0.85/1.20 0 ==> 0
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 subsumption: (4) {G0,W15,D4,L1,V4,M1} I { product( product( T, Z ), product
% 0.85/1.20 ( Y, X ) ) = product( product( T, Y ), product( Z, X ) ) }.
% 0.85/1.20 parent0: (638) {G0,W15,D4,L1,V4,M1} { product( product( T, Z ), product( Y
% 0.85/1.20 , X ) ) = product( product( T, Y ), product( Z, X ) ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := X
% 0.85/1.20 Y := Y
% 0.85/1.20 Z := Z
% 0.85/1.20 T := T
% 0.85/1.20 end
% 0.85/1.20 permutation0:
% 0.85/1.20 0 ==> 0
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 subsumption: (5) {G0,W5,D3,L1,V1,M1} I { product( X, X ) ==> X }.
% 0.85/1.20 parent0: (639) {G0,W5,D3,L1,V1,M1} { product( X, X ) = X }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := X
% 0.85/1.20 end
% 0.85/1.20 permutation0:
% 0.85/1.20 0 ==> 0
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 subsumption: (6) {G0,W13,D5,L1,V2,M1} I { product( product( product( Y, X )
% 0.85/1.20 , X ), product( X, product( X, Y ) ) ) ==> X }.
% 0.85/1.20 parent0: (640) {G0,W13,D5,L1,V2,M1} { product( product( product( Y, X ), X
% 0.85/1.20 ), product( X, product( X, Y ) ) ) = X }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := X
% 0.85/1.20 Y := Y
% 0.85/1.20 end
% 0.85/1.20 permutation0:
% 0.85/1.20 0 ==> 0
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 eqswap: (675) {G0,W12,D4,L1,V3,M1} { product( product( X, Y ), product( Z
% 0.85/1.20 , X ) ) = bigC( X, Y, Z ) }.
% 0.85/1.20 parent0[0]: (641) {G0,W12,D4,L1,V3,M1} { bigC( Z, Y, X ) = product(
% 0.85/1.20 product( Z, Y ), product( X, Z ) ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := Z
% 0.85/1.20 Y := Y
% 0.85/1.20 Z := X
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 subsumption: (7) {G0,W12,D4,L1,V3,M1} I { product( product( Z, Y ), product
% 0.85/1.20 ( X, Z ) ) ==> bigC( Z, Y, X ) }.
% 0.85/1.20 parent0: (675) {G0,W12,D4,L1,V3,M1} { product( product( X, Y ), product( Z
% 0.85/1.20 , X ) ) = bigC( X, Y, Z ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := Z
% 0.85/1.20 Y := Y
% 0.85/1.20 Z := X
% 0.85/1.20 end
% 0.85/1.20 permutation0:
% 0.85/1.20 0 ==> 0
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 subsumption: (8) {G0,W11,D4,L1,V0,M1} I { product( product( a, c ), product
% 0.85/1.20 ( c, b ) ) ==> product( a, b ) }.
% 0.85/1.20 parent0: (642) {G0,W11,D4,L1,V0,M1} { product( product( a, c ), product( c
% 0.85/1.20 , b ) ) = product( a, b ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 end
% 0.85/1.20 permutation0:
% 0.85/1.20 0 ==> 0
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 eqswap: (692) {G0,W9,D3,L1,V0,M1} { ! bigC( c, c, skol1 ) = bigC( a, b,
% 0.85/1.20 skol1 ) }.
% 0.85/1.20 parent0[0]: (643) {G0,W9,D3,L1,V0,M1} { ! bigC( a, b, skol1 ) = bigC( c, c
% 0.85/1.20 , skol1 ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 subsumption: (9) {G0,W9,D3,L1,V0,M1} I { ! bigC( c, c, skol1 ) ==> bigC( a
% 0.85/1.20 , b, skol1 ) }.
% 0.85/1.20 parent0: (692) {G0,W9,D3,L1,V0,M1} { ! bigC( c, c, skol1 ) = bigC( a, b,
% 0.85/1.20 skol1 ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 end
% 0.85/1.20 permutation0:
% 0.85/1.20 0 ==> 0
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 eqswap: (694) {G0,W7,D4,L1,V2,M1} { X ==> quotient( product( X, Y ), Y )
% 0.85/1.20 }.
% 0.85/1.20 parent0[0]: (2) {G0,W7,D4,L1,V2,M1} I { quotient( product( Y, X ), X ) ==>
% 0.85/1.20 Y }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := Y
% 0.85/1.20 Y := X
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 paramod: (695) {G1,W7,D4,L1,V2,M1} { X ==> quotient( Y, difference( X, Y )
% 0.85/1.20 ) }.
% 0.85/1.20 parent0[0]: (1) {G0,W7,D4,L1,V2,M1} I { product( Y, difference( Y, X ) )
% 0.85/1.20 ==> X }.
% 0.85/1.20 parent1[0; 3]: (694) {G0,W7,D4,L1,V2,M1} { X ==> quotient( product( X, Y )
% 0.85/1.20 , Y ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := Y
% 0.85/1.20 Y := X
% 0.85/1.20 end
% 0.85/1.20 substitution1:
% 0.85/1.20 X := X
% 0.85/1.20 Y := difference( X, Y )
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 eqswap: (696) {G1,W7,D4,L1,V2,M1} { quotient( Y, difference( X, Y ) ) ==>
% 0.85/1.20 X }.
% 0.85/1.20 parent0[0]: (695) {G1,W7,D4,L1,V2,M1} { X ==> quotient( Y, difference( X,
% 0.85/1.20 Y ) ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := X
% 0.85/1.20 Y := Y
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 subsumption: (11) {G1,W7,D4,L1,V2,M1} P(1,2) { quotient( Y, difference( X,
% 0.85/1.20 Y ) ) ==> X }.
% 0.85/1.20 parent0: (696) {G1,W7,D4,L1,V2,M1} { quotient( Y, difference( X, Y ) ) ==>
% 0.85/1.20 X }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := X
% 0.85/1.20 Y := Y
% 0.85/1.20 end
% 0.85/1.20 permutation0:
% 0.85/1.20 0 ==> 0
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 eqswap: (698) {G0,W7,D4,L1,V2,M1} { Y ==> difference( X, product( X, Y ) )
% 0.85/1.20 }.
% 0.85/1.20 parent0[0]: (0) {G0,W7,D4,L1,V2,M1} I { difference( Y, product( Y, X ) )
% 0.85/1.20 ==> X }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := Y
% 0.85/1.20 Y := X
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 paramod: (699) {G1,W7,D4,L1,V2,M1} { X ==> difference( quotient( Y, X ), Y
% 0.85/1.20 ) }.
% 0.85/1.20 parent0[0]: (3) {G0,W7,D4,L1,V2,M1} I { product( quotient( Y, X ), X ) ==>
% 0.85/1.20 Y }.
% 0.85/1.20 parent1[0; 6]: (698) {G0,W7,D4,L1,V2,M1} { Y ==> difference( X, product( X
% 0.85/1.20 , Y ) ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := X
% 0.85/1.20 Y := Y
% 0.85/1.20 end
% 0.85/1.20 substitution1:
% 0.85/1.20 X := quotient( Y, X )
% 0.85/1.20 Y := X
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 eqswap: (700) {G1,W7,D4,L1,V2,M1} { difference( quotient( Y, X ), Y ) ==>
% 0.85/1.20 X }.
% 0.85/1.20 parent0[0]: (699) {G1,W7,D4,L1,V2,M1} { X ==> difference( quotient( Y, X )
% 0.85/1.20 , Y ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := X
% 0.85/1.20 Y := Y
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 subsumption: (12) {G1,W7,D4,L1,V2,M1} P(3,0) { difference( quotient( X, Y )
% 0.85/1.20 , X ) ==> Y }.
% 0.85/1.20 parent0: (700) {G1,W7,D4,L1,V2,M1} { difference( quotient( Y, X ), Y ) ==>
% 0.85/1.20 X }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := Y
% 0.85/1.20 Y := X
% 0.85/1.20 end
% 0.85/1.20 permutation0:
% 0.85/1.20 0 ==> 0
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 eqswap: (701) {G0,W7,D4,L1,V2,M1} { Y ==> difference( X, product( X, Y ) )
% 0.85/1.20 }.
% 0.85/1.20 parent0[0]: (0) {G0,W7,D4,L1,V2,M1} I { difference( Y, product( Y, X ) )
% 0.85/1.20 ==> X }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := Y
% 0.85/1.20 Y := X
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 paramod: (702) {G1,W15,D5,L1,V4,M1} { product( X, Y ) ==> difference(
% 0.85/1.20 product( Z, T ), product( product( Z, X ), product( T, Y ) ) ) }.
% 0.85/1.20 parent0[0]: (4) {G0,W15,D4,L1,V4,M1} I { product( product( T, Z ), product
% 0.85/1.20 ( Y, X ) ) = product( product( T, Y ), product( Z, X ) ) }.
% 0.85/1.20 parent1[0; 8]: (701) {G0,W7,D4,L1,V2,M1} { Y ==> difference( X, product( X
% 0.85/1.20 , Y ) ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := Y
% 0.85/1.20 Y := X
% 0.85/1.20 Z := T
% 0.85/1.20 T := Z
% 0.85/1.20 end
% 0.85/1.20 substitution1:
% 0.85/1.20 X := product( Z, T )
% 0.85/1.20 Y := product( X, Y )
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 eqswap: (705) {G1,W15,D5,L1,V4,M1} { difference( product( Z, T ), product
% 0.85/1.20 ( product( Z, X ), product( T, Y ) ) ) ==> product( X, Y ) }.
% 0.85/1.20 parent0[0]: (702) {G1,W15,D5,L1,V4,M1} { product( X, Y ) ==> difference(
% 0.85/1.20 product( Z, T ), product( product( Z, X ), product( T, Y ) ) ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := X
% 0.85/1.20 Y := Y
% 0.85/1.20 Z := Z
% 0.85/1.20 T := T
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 subsumption: (16) {G1,W15,D5,L1,V4,M1} P(4,0) { difference( product( X, Y )
% 0.85/1.20 , product( product( X, Z ), product( Y, T ) ) ) ==> product( Z, T ) }.
% 0.85/1.20 parent0: (705) {G1,W15,D5,L1,V4,M1} { difference( product( Z, T ), product
% 0.85/1.20 ( product( Z, X ), product( T, Y ) ) ) ==> product( X, Y ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := Z
% 0.85/1.20 Y := T
% 0.85/1.20 Z := X
% 0.85/1.20 T := Y
% 0.85/1.20 end
% 0.85/1.20 permutation0:
% 0.85/1.20 0 ==> 0
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 paramod: (709) {G1,W15,D5,L1,V4,M1} { product( product( X, Y ), product(
% 0.85/1.20 difference( X, Z ), T ) ) = product( Z, product( Y, T ) ) }.
% 0.85/1.20 parent0[0]: (1) {G0,W7,D4,L1,V2,M1} I { product( Y, difference( Y, X ) )
% 0.85/1.20 ==> X }.
% 0.85/1.20 parent1[0; 11]: (4) {G0,W15,D4,L1,V4,M1} I { product( product( T, Z ),
% 0.85/1.20 product( Y, X ) ) = product( product( T, Y ), product( Z, X ) ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := Z
% 0.85/1.20 Y := X
% 0.85/1.20 end
% 0.85/1.20 substitution1:
% 0.85/1.20 X := T
% 0.85/1.20 Y := difference( X, Z )
% 0.85/1.20 Z := Y
% 0.85/1.20 T := X
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 subsumption: (17) {G1,W15,D5,L1,V4,M1} P(1,4) { product( product( X, Z ),
% 0.85/1.20 product( difference( X, Y ), T ) ) ==> product( Y, product( Z, T ) ) }.
% 0.85/1.20 parent0: (709) {G1,W15,D5,L1,V4,M1} { product( product( X, Y ), product(
% 0.85/1.20 difference( X, Z ), T ) ) = product( Z, product( Y, T ) ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := X
% 0.85/1.20 Y := Z
% 0.85/1.20 Z := Y
% 0.85/1.20 T := T
% 0.85/1.20 end
% 0.85/1.20 permutation0:
% 0.85/1.20 0 ==> 0
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 paramod: (715) {G1,W15,D5,L1,V4,M1} { product( product( X, Y ), product( Z
% 0.85/1.20 , difference( Y, T ) ) ) = product( product( X, Z ), T ) }.
% 0.85/1.20 parent0[0]: (1) {G0,W7,D4,L1,V2,M1} I { product( Y, difference( Y, X ) )
% 0.85/1.20 ==> X }.
% 0.85/1.20 parent1[0; 14]: (4) {G0,W15,D4,L1,V4,M1} I { product( product( T, Z ),
% 0.85/1.20 product( Y, X ) ) = product( product( T, Y ), product( Z, X ) ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := T
% 0.85/1.20 Y := Y
% 0.85/1.20 end
% 0.85/1.20 substitution1:
% 0.85/1.20 X := difference( Y, T )
% 0.85/1.20 Y := Z
% 0.85/1.20 Z := Y
% 0.85/1.20 T := X
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 subsumption: (18) {G1,W15,D5,L1,V4,M1} P(1,4) { product( product( Z, X ),
% 0.85/1.20 product( T, difference( X, Y ) ) ) ==> product( product( Z, T ), Y ) }.
% 0.85/1.20 parent0: (715) {G1,W15,D5,L1,V4,M1} { product( product( X, Y ), product( Z
% 0.85/1.20 , difference( Y, T ) ) ) = product( product( X, Z ), T ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := Z
% 0.85/1.20 Y := X
% 0.85/1.20 Z := T
% 0.85/1.20 T := Y
% 0.85/1.20 end
% 0.85/1.20 permutation0:
% 0.85/1.20 0 ==> 0
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 eqswap: (716) {G0,W7,D4,L1,V2,M1} { X ==> quotient( product( X, Y ), Y )
% 0.85/1.20 }.
% 0.85/1.20 parent0[0]: (2) {G0,W7,D4,L1,V2,M1} I { quotient( product( Y, X ), X ) ==>
% 0.85/1.20 Y }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := Y
% 0.85/1.20 Y := X
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 paramod: (717) {G1,W15,D5,L1,V4,M1} { product( X, Y ) ==> quotient(
% 0.85/1.20 product( product( X, Z ), product( Y, T ) ), product( Z, T ) ) }.
% 0.85/1.20 parent0[0]: (4) {G0,W15,D4,L1,V4,M1} I { product( product( T, Z ), product
% 0.85/1.20 ( Y, X ) ) = product( product( T, Y ), product( Z, X ) ) }.
% 0.85/1.20 parent1[0; 5]: (716) {G0,W7,D4,L1,V2,M1} { X ==> quotient( product( X, Y )
% 0.85/1.20 , Y ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := T
% 0.85/1.20 Y := Z
% 0.85/1.20 Z := Y
% 0.85/1.20 T := X
% 0.85/1.20 end
% 0.85/1.20 substitution1:
% 0.85/1.20 X := product( X, Y )
% 0.85/1.20 Y := product( Z, T )
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 eqswap: (720) {G1,W15,D5,L1,V4,M1} { quotient( product( product( X, Z ),
% 0.85/1.20 product( Y, T ) ), product( Z, T ) ) ==> product( X, Y ) }.
% 0.85/1.20 parent0[0]: (717) {G1,W15,D5,L1,V4,M1} { product( X, Y ) ==> quotient(
% 0.85/1.20 product( product( X, Z ), product( Y, T ) ), product( Z, T ) ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := X
% 0.85/1.20 Y := Y
% 0.85/1.20 Z := Z
% 0.85/1.20 T := T
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 subsumption: (19) {G1,W15,D5,L1,V4,M1} P(4,2) { quotient( product( product
% 0.85/1.20 ( X, Z ), product( Y, T ) ), product( Z, T ) ) ==> product( X, Y ) }.
% 0.85/1.20 parent0: (720) {G1,W15,D5,L1,V4,M1} { quotient( product( product( X, Z ),
% 0.85/1.20 product( Y, T ) ), product( Z, T ) ) ==> product( X, Y ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := X
% 0.85/1.20 Y := Y
% 0.85/1.20 Z := Z
% 0.85/1.20 T := T
% 0.85/1.20 end
% 0.85/1.20 permutation0:
% 0.85/1.20 0 ==> 0
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 paramod: (724) {G1,W15,D5,L1,V4,M1} { product( product( quotient( X, Y ),
% 0.85/1.20 Z ), product( Y, T ) ) = product( X, product( Z, T ) ) }.
% 0.85/1.20 parent0[0]: (3) {G0,W7,D4,L1,V2,M1} I { product( quotient( Y, X ), X ) ==>
% 0.85/1.20 Y }.
% 0.85/1.20 parent1[0; 11]: (4) {G0,W15,D4,L1,V4,M1} I { product( product( T, Z ),
% 0.85/1.20 product( Y, X ) ) = product( product( T, Y ), product( Z, X ) ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := Y
% 0.85/1.20 Y := X
% 0.85/1.20 end
% 0.85/1.20 substitution1:
% 0.85/1.20 X := T
% 0.85/1.20 Y := Y
% 0.85/1.20 Z := Z
% 0.85/1.20 T := quotient( X, Y )
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 subsumption: (20) {G1,W15,D5,L1,V4,M1} P(3,4) { product( product( quotient
% 0.85/1.20 ( X, Y ), Z ), product( Y, T ) ) ==> product( X, product( Z, T ) ) }.
% 0.85/1.20 parent0: (724) {G1,W15,D5,L1,V4,M1} { product( product( quotient( X, Y ),
% 0.85/1.20 Z ), product( Y, T ) ) = product( X, product( Z, T ) ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := X
% 0.85/1.20 Y := Y
% 0.85/1.20 Z := Z
% 0.85/1.20 T := T
% 0.85/1.20 end
% 0.85/1.20 permutation0:
% 0.85/1.20 0 ==> 0
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 paramod: (730) {G1,W15,D5,L1,V4,M1} { product( product( X, quotient( Y, Z
% 0.85/1.20 ) ), product( T, Z ) ) = product( product( X, T ), Y ) }.
% 0.85/1.20 parent0[0]: (3) {G0,W7,D4,L1,V2,M1} I { product( quotient( Y, X ), X ) ==>
% 0.85/1.20 Y }.
% 0.85/1.20 parent1[0; 14]: (4) {G0,W15,D4,L1,V4,M1} I { product( product( T, Z ),
% 0.85/1.20 product( Y, X ) ) = product( product( T, Y ), product( Z, X ) ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := Z
% 0.85/1.20 Y := Y
% 0.85/1.20 end
% 0.85/1.20 substitution1:
% 0.85/1.20 X := Z
% 0.85/1.20 Y := T
% 0.85/1.20 Z := quotient( Y, Z )
% 0.85/1.20 T := X
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 subsumption: (21) {G1,W15,D5,L1,V4,M1} P(3,4) { product( product( Z,
% 0.85/1.20 quotient( X, Y ) ), product( T, Y ) ) ==> product( product( Z, T ), X )
% 0.85/1.20 }.
% 0.85/1.20 parent0: (730) {G1,W15,D5,L1,V4,M1} { product( product( X, quotient( Y, Z
% 0.85/1.20 ) ), product( T, Z ) ) = product( product( X, T ), Y ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := Z
% 0.85/1.20 Y := X
% 0.85/1.20 Z := Y
% 0.85/1.20 T := T
% 0.85/1.20 end
% 0.85/1.20 permutation0:
% 0.85/1.20 0 ==> 0
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 paramod: (740) {G1,W13,D4,L1,V3,M1} { product( product( X, Y ), product( X
% 0.85/1.20 , Z ) ) = product( X, product( Y, Z ) ) }.
% 0.85/1.20 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { product( X, X ) ==> X }.
% 0.85/1.20 parent1[0; 9]: (4) {G0,W15,D4,L1,V4,M1} I { product( product( T, Z ),
% 0.85/1.20 product( Y, X ) ) = product( product( T, Y ), product( Z, X ) ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := X
% 0.85/1.20 end
% 0.85/1.20 substitution1:
% 0.85/1.20 X := Z
% 0.85/1.20 Y := X
% 0.85/1.20 Z := Y
% 0.85/1.20 T := X
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 subsumption: (22) {G1,W13,D4,L1,V3,M1} P(5,4) { product( product( X, Y ),
% 0.85/1.20 product( X, Z ) ) ==> product( X, product( Y, Z ) ) }.
% 0.85/1.20 parent0: (740) {G1,W13,D4,L1,V3,M1} { product( product( X, Y ), product( X
% 0.85/1.20 , Z ) ) = product( X, product( Y, Z ) ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := X
% 0.85/1.20 Y := Y
% 0.85/1.20 Z := Z
% 0.85/1.20 end
% 0.85/1.20 permutation0:
% 0.85/1.20 0 ==> 0
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 paramod: (757) {G1,W13,D4,L1,V3,M1} { product( product( X, Y ), product( Z
% 0.85/1.20 , Y ) ) = product( product( X, Z ), Y ) }.
% 0.85/1.20 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { product( X, X ) ==> X }.
% 0.85/1.20 parent1[0; 12]: (4) {G0,W15,D4,L1,V4,M1} I { product( product( T, Z ),
% 0.85/1.20 product( Y, X ) ) = product( product( T, Y ), product( Z, X ) ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := Y
% 0.85/1.20 end
% 0.85/1.20 substitution1:
% 0.85/1.20 X := Y
% 0.85/1.20 Y := Z
% 0.85/1.20 Z := Y
% 0.85/1.20 T := X
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 subsumption: (23) {G1,W13,D4,L1,V3,M1} P(5,4) { product( product( Y, X ),
% 0.85/1.20 product( Z, X ) ) ==> product( product( Y, Z ), X ) }.
% 0.85/1.20 parent0: (757) {G1,W13,D4,L1,V3,M1} { product( product( X, Y ), product( Z
% 0.85/1.20 , Y ) ) = product( product( X, Z ), Y ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := Y
% 0.85/1.20 Y := X
% 0.85/1.20 Z := Z
% 0.85/1.20 end
% 0.85/1.20 permutation0:
% 0.85/1.20 0 ==> 0
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 paramod: (770) {G1,W19,D5,L1,V2,M1} { product( product( product( a, c ), X
% 0.85/1.20 ), product( product( c, b ), Y ) ) = product( product( a, b ), product(
% 0.85/1.20 X, Y ) ) }.
% 0.85/1.20 parent0[0]: (8) {G0,W11,D4,L1,V0,M1} I { product( product( a, c ), product
% 0.85/1.20 ( c, b ) ) ==> product( a, b ) }.
% 0.85/1.20 parent1[0; 13]: (4) {G0,W15,D4,L1,V4,M1} I { product( product( T, Z ),
% 0.85/1.20 product( Y, X ) ) = product( product( T, Y ), product( Z, X ) ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 end
% 0.85/1.20 substitution1:
% 0.85/1.20 X := Y
% 0.85/1.20 Y := product( c, b )
% 0.85/1.20 Z := X
% 0.85/1.20 T := product( a, c )
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 subsumption: (24) {G1,W19,D5,L1,V2,M1} P(8,4) { product( product( product(
% 0.85/1.20 a, c ), X ), product( product( c, b ), Y ) ) ==> product( product( a, b )
% 0.85/1.20 , product( X, Y ) ) }.
% 0.85/1.20 parent0: (770) {G1,W19,D5,L1,V2,M1} { product( product( product( a, c ), X
% 0.85/1.20 ), product( product( c, b ), Y ) ) = product( product( a, b ), product(
% 0.85/1.20 X, Y ) ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := X
% 0.85/1.20 Y := Y
% 0.85/1.20 end
% 0.85/1.20 permutation0:
% 0.85/1.20 0 ==> 0
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 paramod: (781) {G1,W19,D5,L1,V2,M1} { product( product( X, product( a, c )
% 0.85/1.20 ), product( Y, product( c, b ) ) ) = product( product( X, Y ), product(
% 0.85/1.20 a, b ) ) }.
% 0.85/1.20 parent0[0]: (8) {G0,W11,D4,L1,V0,M1} I { product( product( a, c ), product
% 0.85/1.20 ( c, b ) ) ==> product( a, b ) }.
% 0.85/1.20 parent1[0; 16]: (4) {G0,W15,D4,L1,V4,M1} I { product( product( T, Z ),
% 0.85/1.20 product( Y, X ) ) = product( product( T, Y ), product( Z, X ) ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 end
% 0.85/1.20 substitution1:
% 0.85/1.20 X := product( c, b )
% 0.85/1.20 Y := Y
% 0.85/1.20 Z := product( a, c )
% 0.85/1.20 T := X
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 subsumption: (25) {G1,W19,D5,L1,V2,M1} P(8,4) { product( product( X,
% 0.85/1.20 product( a, c ) ), product( Y, product( c, b ) ) ) ==> product( product(
% 0.85/1.20 X, Y ), product( a, b ) ) }.
% 0.85/1.20 parent0: (781) {G1,W19,D5,L1,V2,M1} { product( product( X, product( a, c )
% 0.85/1.20 ), product( Y, product( c, b ) ) ) = product( product( X, Y ), product(
% 0.85/1.20 a, b ) ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := X
% 0.85/1.20 Y := Y
% 0.85/1.20 end
% 0.85/1.20 permutation0:
% 0.85/1.20 0 ==> 0
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 *** allocated 15000 integers for termspace/termends
% 0.85/1.20 eqswap: (783) {G0,W12,D4,L1,V3,M1} { bigC( X, Y, Z ) ==> product( product
% 0.85/1.20 ( X, Y ), product( Z, X ) ) }.
% 0.85/1.20 parent0[0]: (7) {G0,W12,D4,L1,V3,M1} I { product( product( Z, Y ), product
% 0.85/1.20 ( X, Z ) ) ==> bigC( Z, Y, X ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := Z
% 0.85/1.20 Y := Y
% 0.85/1.20 Z := X
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 paramod: (785) {G1,W12,D4,L1,V3,M1} { bigC( X, Y, Z ) ==> product( product
% 0.85/1.20 ( X, Z ), product( Y, X ) ) }.
% 0.85/1.20 parent0[0]: (4) {G0,W15,D4,L1,V4,M1} I { product( product( T, Z ), product
% 0.85/1.20 ( Y, X ) ) = product( product( T, Y ), product( Z, X ) ) }.
% 0.85/1.20 parent1[0; 5]: (783) {G0,W12,D4,L1,V3,M1} { bigC( X, Y, Z ) ==> product(
% 0.85/1.20 product( X, Y ), product( Z, X ) ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := X
% 0.85/1.20 Y := Z
% 0.85/1.20 Z := Y
% 0.85/1.20 T := X
% 0.85/1.20 end
% 0.85/1.20 substitution1:
% 0.85/1.20 X := X
% 0.85/1.20 Y := Y
% 0.85/1.20 Z := Z
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 paramod: (811) {G1,W9,D3,L1,V3,M1} { bigC( X, Y, Z ) ==> bigC( X, Z, Y )
% 0.85/1.20 }.
% 0.85/1.20 parent0[0]: (7) {G0,W12,D4,L1,V3,M1} I { product( product( Z, Y ), product
% 0.85/1.20 ( X, Z ) ) ==> bigC( Z, Y, X ) }.
% 0.85/1.20 parent1[0; 5]: (785) {G1,W12,D4,L1,V3,M1} { bigC( X, Y, Z ) ==> product(
% 0.85/1.20 product( X, Z ), product( Y, X ) ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := Y
% 0.85/1.20 Y := Z
% 0.85/1.20 Z := X
% 0.85/1.20 end
% 0.85/1.20 substitution1:
% 0.85/1.20 X := X
% 0.85/1.20 Y := Y
% 0.85/1.20 Z := Z
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 subsumption: (32) {G1,W9,D3,L1,V3,M1} P(7,4);d(7) { bigC( X, Y, Z ) = bigC
% 0.85/1.20 ( X, Z, Y ) }.
% 0.85/1.20 parent0: (811) {G1,W9,D3,L1,V3,M1} { bigC( X, Y, Z ) ==> bigC( X, Z, Y )
% 0.85/1.20 }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := X
% 0.85/1.20 Y := Y
% 0.85/1.20 Z := Z
% 0.85/1.20 end
% 0.85/1.20 permutation0:
% 0.85/1.20 0 ==> 0
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 eqswap: (813) {G0,W12,D4,L1,V3,M1} { bigC( X, Y, Z ) ==> product( product
% 0.85/1.20 ( X, Y ), product( Z, X ) ) }.
% 0.85/1.20 parent0[0]: (7) {G0,W12,D4,L1,V3,M1} I { product( product( Z, Y ), product
% 0.85/1.20 ( X, Z ) ) ==> bigC( Z, Y, X ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := Z
% 0.85/1.20 Y := Y
% 0.85/1.20 Z := X
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 paramod: (815) {G1,W12,D4,L1,V3,M1} { bigC( X, Y, quotient( Z, X ) ) ==>
% 0.85/1.20 product( product( X, Y ), Z ) }.
% 0.85/1.20 parent0[0]: (3) {G0,W7,D4,L1,V2,M1} I { product( quotient( Y, X ), X ) ==>
% 0.85/1.20 Y }.
% 0.85/1.20 parent1[0; 11]: (813) {G0,W12,D4,L1,V3,M1} { bigC( X, Y, Z ) ==> product(
% 0.85/1.20 product( X, Y ), product( Z, X ) ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := X
% 0.85/1.20 Y := Z
% 0.85/1.20 end
% 0.85/1.20 substitution1:
% 0.85/1.20 X := X
% 0.85/1.20 Y := Y
% 0.85/1.20 Z := quotient( Z, X )
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 subsumption: (40) {G1,W12,D4,L1,V3,M1} P(3,7) { bigC( Y, Z, quotient( X, Y
% 0.85/1.20 ) ) ==> product( product( Y, Z ), X ) }.
% 0.85/1.20 parent0: (815) {G1,W12,D4,L1,V3,M1} { bigC( X, Y, quotient( Z, X ) ) ==>
% 0.85/1.20 product( product( X, Y ), Z ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := Y
% 0.85/1.20 Y := Z
% 0.85/1.20 Z := X
% 0.85/1.20 end
% 0.85/1.20 permutation0:
% 0.85/1.20 0 ==> 0
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 eqswap: (818) {G0,W12,D4,L1,V3,M1} { bigC( X, Y, Z ) ==> product( product
% 0.85/1.20 ( X, Y ), product( Z, X ) ) }.
% 0.85/1.20 parent0[0]: (7) {G0,W12,D4,L1,V3,M1} I { product( product( Z, Y ), product
% 0.85/1.20 ( X, Z ) ) ==> bigC( Z, Y, X ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := Z
% 0.85/1.20 Y := Y
% 0.85/1.20 Z := X
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 paramod: (821) {G1,W8,D3,L1,V1,M1} { bigC( X, X, X ) ==> product( X, X )
% 0.85/1.20 }.
% 0.85/1.20 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { product( X, X ) ==> X }.
% 0.85/1.20 parent1[0; 5]: (818) {G0,W12,D4,L1,V3,M1} { bigC( X, Y, Z ) ==> product(
% 0.85/1.20 product( X, Y ), product( Z, X ) ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := product( X, X )
% 0.85/1.20 end
% 0.85/1.20 substitution1:
% 0.85/1.20 X := X
% 0.85/1.20 Y := X
% 0.85/1.20 Z := X
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 paramod: (825) {G1,W6,D3,L1,V1,M1} { bigC( X, X, X ) ==> X }.
% 0.85/1.20 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { product( X, X ) ==> X }.
% 0.85/1.20 parent1[0; 5]: (821) {G1,W8,D3,L1,V1,M1} { bigC( X, X, X ) ==> product( X
% 0.85/1.20 , X ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := X
% 0.85/1.20 end
% 0.85/1.20 substitution1:
% 0.85/1.20 X := X
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 subsumption: (41) {G1,W6,D3,L1,V1,M1} P(7,5);d(5) { bigC( X, X, X ) ==> X
% 0.85/1.20 }.
% 0.85/1.20 parent0: (825) {G1,W6,D3,L1,V1,M1} { bigC( X, X, X ) ==> X }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := X
% 0.85/1.20 end
% 0.85/1.20 permutation0:
% 0.85/1.20 0 ==> 0
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 eqswap: (828) {G0,W12,D4,L1,V3,M1} { bigC( X, Y, Z ) ==> product( product
% 0.85/1.20 ( X, Y ), product( Z, X ) ) }.
% 0.85/1.20 parent0[0]: (7) {G0,W12,D4,L1,V3,M1} I { product( product( Z, Y ), product
% 0.85/1.20 ( X, Z ) ) ==> bigC( Z, Y, X ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := Z
% 0.85/1.20 Y := Y
% 0.85/1.20 Z := X
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 paramod: (832) {G1,W10,D4,L1,V2,M1} { bigC( X, X, Y ) ==> product( X,
% 0.85/1.20 product( Y, X ) ) }.
% 0.85/1.20 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { product( X, X ) ==> X }.
% 0.85/1.20 parent1[0; 6]: (828) {G0,W12,D4,L1,V3,M1} { bigC( X, Y, Z ) ==> product(
% 0.85/1.20 product( X, Y ), product( Z, X ) ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := X
% 0.85/1.20 end
% 0.85/1.20 substitution1:
% 0.85/1.20 X := X
% 0.85/1.20 Y := X
% 0.85/1.20 Z := Y
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 eqswap: (837) {G1,W10,D4,L1,V2,M1} { product( X, product( Y, X ) ) ==>
% 0.85/1.20 bigC( X, X, Y ) }.
% 0.85/1.20 parent0[0]: (832) {G1,W10,D4,L1,V2,M1} { bigC( X, X, Y ) ==> product( X,
% 0.85/1.20 product( Y, X ) ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := X
% 0.85/1.20 Y := Y
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 subsumption: (42) {G1,W10,D4,L1,V2,M1} P(5,7) { product( X, product( Y, X )
% 0.85/1.20 ) ==> bigC( X, X, Y ) }.
% 0.85/1.20 parent0: (837) {G1,W10,D4,L1,V2,M1} { product( X, product( Y, X ) ) ==>
% 0.85/1.20 bigC( X, X, Y ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := X
% 0.85/1.20 Y := Y
% 0.85/1.20 end
% 0.85/1.20 permutation0:
% 0.85/1.20 0 ==> 0
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 eqswap: (840) {G0,W12,D4,L1,V3,M1} { bigC( X, Y, Z ) ==> product( product
% 0.85/1.20 ( X, Y ), product( Z, X ) ) }.
% 0.85/1.20 parent0[0]: (7) {G0,W12,D4,L1,V3,M1} I { product( product( Z, Y ), product
% 0.85/1.20 ( X, Z ) ) ==> bigC( Z, Y, X ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := Z
% 0.85/1.20 Y := Y
% 0.85/1.20 Z := X
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 paramod: (845) {G1,W10,D4,L1,V2,M1} { bigC( X, Y, X ) ==> product( product
% 0.85/1.20 ( X, Y ), X ) }.
% 0.85/1.20 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { product( X, X ) ==> X }.
% 0.85/1.20 parent1[0; 9]: (840) {G0,W12,D4,L1,V3,M1} { bigC( X, Y, Z ) ==> product(
% 0.85/1.20 product( X, Y ), product( Z, X ) ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := X
% 0.85/1.20 end
% 0.85/1.20 substitution1:
% 0.85/1.20 X := X
% 0.85/1.20 Y := Y
% 0.85/1.20 Z := X
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 eqswap: (850) {G1,W10,D4,L1,V2,M1} { product( product( X, Y ), X ) ==>
% 0.85/1.20 bigC( X, Y, X ) }.
% 0.85/1.20 parent0[0]: (845) {G1,W10,D4,L1,V2,M1} { bigC( X, Y, X ) ==> product(
% 0.85/1.20 product( X, Y ), X ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := X
% 0.85/1.20 Y := Y
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 subsumption: (43) {G1,W10,D4,L1,V2,M1} P(5,7) { product( product( X, Y ), X
% 0.85/1.20 ) ==> bigC( X, Y, X ) }.
% 0.85/1.20 parent0: (850) {G1,W10,D4,L1,V2,M1} { product( product( X, Y ), X ) ==>
% 0.85/1.20 bigC( X, Y, X ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := X
% 0.85/1.20 Y := Y
% 0.85/1.20 end
% 0.85/1.20 permutation0:
% 0.85/1.20 0 ==> 0
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 eqswap: (852) {G0,W13,D5,L1,V2,M1} { Y ==> product( product( product( X, Y
% 0.85/1.20 ), Y ), product( Y, product( Y, X ) ) ) }.
% 0.85/1.20 parent0[0]: (6) {G0,W13,D5,L1,V2,M1} I { product( product( product( Y, X )
% 0.85/1.20 , X ), product( X, product( X, Y ) ) ) ==> X }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := Y
% 0.85/1.20 Y := X
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 paramod: (857) {G1,W23,D6,L1,V0,M1} { product( a, c ) ==> product( product
% 0.85/1.20 ( product( product( c, b ), product( a, c ) ), product( a, c ) ), product
% 0.85/1.20 ( product( a, c ), product( a, b ) ) ) }.
% 0.85/1.20 parent0[0]: (8) {G0,W11,D4,L1,V0,M1} I { product( product( a, c ), product
% 0.85/1.20 ( c, b ) ) ==> product( a, b ) }.
% 0.85/1.20 parent1[0; 20]: (852) {G0,W13,D5,L1,V2,M1} { Y ==> product( product(
% 0.85/1.20 product( X, Y ), Y ), product( Y, product( Y, X ) ) ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 end
% 0.85/1.20 substitution1:
% 0.85/1.20 X := product( c, b )
% 0.85/1.20 Y := product( a, c )
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 paramod: (858) {G1,W20,D5,L1,V0,M1} { product( a, c ) ==> product( product
% 0.85/1.20 ( bigC( c, b, a ), product( a, c ) ), product( product( a, c ), product(
% 0.85/1.20 a, b ) ) ) }.
% 0.85/1.20 parent0[0]: (7) {G0,W12,D4,L1,V3,M1} I { product( product( Z, Y ), product
% 0.85/1.20 ( X, Z ) ) ==> bigC( Z, Y, X ) }.
% 0.85/1.20 parent1[0; 6]: (857) {G1,W23,D6,L1,V0,M1} { product( a, c ) ==> product(
% 0.85/1.20 product( product( product( c, b ), product( a, c ) ), product( a, c ) ),
% 0.85/1.20 product( product( a, c ), product( a, b ) ) ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := a
% 0.85/1.20 Y := b
% 0.85/1.20 Z := c
% 0.85/1.20 end
% 0.85/1.20 substitution1:
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 paramod: (859) {G2,W18,D5,L1,V0,M1} { product( a, c ) ==> product( product
% 0.85/1.20 ( bigC( c, b, a ), product( a, c ) ), product( a, product( c, b ) ) ) }.
% 0.85/1.20 parent0[0]: (22) {G1,W13,D4,L1,V3,M1} P(5,4) { product( product( X, Y ),
% 0.85/1.20 product( X, Z ) ) ==> product( X, product( Y, Z ) ) }.
% 0.85/1.20 parent1[0; 13]: (858) {G1,W20,D5,L1,V0,M1} { product( a, c ) ==> product(
% 0.85/1.20 product( bigC( c, b, a ), product( a, c ) ), product( product( a, c ),
% 0.85/1.20 product( a, b ) ) ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := a
% 0.85/1.20 Y := c
% 0.85/1.20 Z := b
% 0.85/1.20 end
% 0.85/1.20 substitution1:
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 paramod: (860) {G2,W14,D5,L1,V0,M1} { product( a, c ) ==> product( product
% 0.85/1.20 ( bigC( c, b, a ), a ), product( a, b ) ) }.
% 0.85/1.20 parent0[0]: (25) {G1,W19,D5,L1,V2,M1} P(8,4) { product( product( X, product
% 0.85/1.20 ( a, c ) ), product( Y, product( c, b ) ) ) ==> product( product( X, Y )
% 0.85/1.20 , product( a, b ) ) }.
% 0.85/1.20 parent1[0; 4]: (859) {G2,W18,D5,L1,V0,M1} { product( a, c ) ==> product(
% 0.85/1.20 product( bigC( c, b, a ), product( a, c ) ), product( a, product( c, b )
% 0.85/1.20 ) ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := bigC( c, b, a )
% 0.85/1.20 Y := a
% 0.85/1.20 end
% 0.85/1.20 substitution1:
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 eqswap: (861) {G2,W14,D5,L1,V0,M1} { product( product( bigC( c, b, a ), a
% 0.85/1.20 ), product( a, b ) ) ==> product( a, c ) }.
% 0.85/1.20 parent0[0]: (860) {G2,W14,D5,L1,V0,M1} { product( a, c ) ==> product(
% 0.85/1.20 product( bigC( c, b, a ), a ), product( a, b ) ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 subsumption: (49) {G2,W14,D5,L1,V0,M1} P(8,6);d(7);d(22);d(25) { product(
% 0.85/1.20 product( bigC( c, b, a ), a ), product( a, b ) ) ==> product( a, c ) }.
% 0.85/1.20 parent0: (861) {G2,W14,D5,L1,V0,M1} { product( product( bigC( c, b, a ), a
% 0.85/1.20 ), product( a, b ) ) ==> product( a, c ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 end
% 0.85/1.20 permutation0:
% 0.85/1.20 0 ==> 0
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 paramod: (917) {G1,W21,D6,L1,V4,M1} { product( product( product( product(
% 0.85/1.20 X, Y ), Y ), Z ), product( product( Y, product( Y, X ) ), T ) ) = product
% 0.85/1.20 ( Y, product( Z, T ) ) }.
% 0.85/1.20 parent0[0]: (6) {G0,W13,D5,L1,V2,M1} I { product( product( product( Y, X )
% 0.85/1.20 , X ), product( X, product( X, Y ) ) ) ==> X }.
% 0.85/1.20 parent1[0; 17]: (4) {G0,W15,D4,L1,V4,M1} I { product( product( T, Z ),
% 0.85/1.20 product( Y, X ) ) = product( product( T, Y ), product( Z, X ) ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := Y
% 0.85/1.20 Y := X
% 0.85/1.20 end
% 0.85/1.20 substitution1:
% 0.85/1.20 X := T
% 0.85/1.20 Y := product( Y, product( Y, X ) )
% 0.85/1.20 Z := Z
% 0.85/1.20 T := product( product( X, Y ), Y )
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 subsumption: (50) {G1,W21,D6,L1,V4,M1} P(6,4) { product( product( product(
% 0.85/1.20 product( X, Y ), Y ), Z ), product( product( Y, product( Y, X ) ), T ) )
% 0.85/1.20 ==> product( Y, product( Z, T ) ) }.
% 0.85/1.20 parent0: (917) {G1,W21,D6,L1,V4,M1} { product( product( product( product(
% 0.85/1.20 X, Y ), Y ), Z ), product( product( Y, product( Y, X ) ), T ) ) = product
% 0.85/1.20 ( Y, product( Z, T ) ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := X
% 0.85/1.20 Y := Y
% 0.85/1.20 Z := Z
% 0.85/1.20 T := T
% 0.85/1.20 end
% 0.85/1.20 permutation0:
% 0.85/1.20 0 ==> 0
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 paramod: (976) {G1,W21,D6,L1,V4,M1} { product( product( X, product(
% 0.85/1.20 product( Y, Z ), Z ) ), product( T, product( Z, product( Z, Y ) ) ) ) =
% 0.85/1.20 product( product( X, T ), Z ) }.
% 0.85/1.20 parent0[0]: (6) {G0,W13,D5,L1,V2,M1} I { product( product( product( Y, X )
% 0.85/1.20 , X ), product( X, product( X, Y ) ) ) ==> X }.
% 0.85/1.20 parent1[0; 20]: (4) {G0,W15,D4,L1,V4,M1} I { product( product( T, Z ),
% 0.85/1.20 product( Y, X ) ) = product( product( T, Y ), product( Z, X ) ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := Z
% 0.85/1.20 Y := Y
% 0.85/1.20 end
% 0.85/1.20 substitution1:
% 0.85/1.20 X := product( Z, product( Z, Y ) )
% 0.85/1.20 Y := T
% 0.85/1.20 Z := product( product( Y, Z ), Z )
% 0.85/1.20 T := X
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 subsumption: (51) {G1,W21,D6,L1,V4,M1} P(6,4) { product( product( Z,
% 0.85/1.20 product( product( X, Y ), Y ) ), product( T, product( Y, product( Y, X )
% 0.85/1.20 ) ) ) ==> product( product( Z, T ), Y ) }.
% 0.85/1.20 parent0: (976) {G1,W21,D6,L1,V4,M1} { product( product( X, product(
% 0.85/1.20 product( Y, Z ), Z ) ), product( T, product( Z, product( Z, Y ) ) ) ) =
% 0.85/1.20 product( product( X, T ), Z ) }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := Z
% 0.85/1.20 Y := X
% 0.85/1.20 Z := Y
% 0.85/1.20 T := T
% 0.85/1.20 end
% 0.85/1.20 permutation0:
% 0.85/1.20 0 ==> 0
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 eqswap: (978) {G0,W13,D5,L1,V2,M1} { Y ==> product( product( product( X, Y
% 0.85/1.20 ), Y ), product( Y, product( Y, X ) ) ) }.
% 0.85/1.20 parent0[0]: (6) {G0,W13,D5,L1,V2,M1} I { product( product( product( Y, X )
% 0.85/1.20 , X ), product( X, product( X, Y ) ) ) ==> X }.
% 0.85/1.20 substitution0:
% 0.85/1.20 X := Y
% 0.85/1.20 Y := X
% 0.85/1.20 end
% 0.85/1.20
% 0.85/1.20 paramod: (980) {G1,W23,D6,L1,V3,M1} { product( X, Y ) ==> product( product
% 0.85/1.21 ( product( Z, X ), product( product( X, Y ), Y ) ), product( product( X,
% 0.85/1.21 Y ), product( product( X, Y ), Z ) ) ) }.
% 0.85/1.21 parent0[0]: (4) {G0,W15,D4,L1,V4,M1} I { product( product( T, Z ), product
% 0.85/1.21 ( Y, X ) ) = product( product( T, Y ), product( Z, X ) ) }.
% 0.85/1.21 parent1[0; 5]: (978) {G0,W13,D5,L1,V2,M1} { Y ==> product( product(
% 0.85/1.21 product( X, Y ), Y ), product( Y, product( Y, X ) ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := Y
% 0.85/1.21 Y := X
% 0.85/1.21 Z := product( X, Y )
% 0.85/1.21 T := Z
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := Z
% 0.85/1.21 Y := product( X, Y )
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1005) {G1,W23,D6,L1,V3,M1} { product( product( product( Z, X ),
% 0.85/1.21 product( product( X, Y ), Y ) ), product( product( X, Y ), product(
% 0.85/1.21 product( X, Y ), Z ) ) ) ==> product( X, Y ) }.
% 0.85/1.21 parent0[0]: (980) {G1,W23,D6,L1,V3,M1} { product( X, Y ) ==> product(
% 0.85/1.21 product( product( Z, X ), product( product( X, Y ), Y ) ), product(
% 0.85/1.21 product( X, Y ), product( product( X, Y ), Z ) ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 Z := Z
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 subsumption: (52) {G1,W23,D6,L1,V3,M1} P(4,6) { product( product( product(
% 0.85/1.21 X, Y ), product( product( Y, Z ), Z ) ), product( product( Y, Z ),
% 0.85/1.21 product( product( Y, Z ), X ) ) ) ==> product( Y, Z ) }.
% 0.85/1.21 parent0: (1005) {G1,W23,D6,L1,V3,M1} { product( product( product( Z, X ),
% 0.85/1.21 product( product( X, Y ), Y ) ), product( product( X, Y ), product(
% 0.85/1.21 product( X, Y ), Z ) ) ) ==> product( X, Y ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := Y
% 0.85/1.21 Y := Z
% 0.85/1.21 Z := X
% 0.85/1.21 end
% 0.85/1.21 permutation0:
% 0.85/1.21 0 ==> 0
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1029) {G0,W9,D3,L1,V0,M1} { ! bigC( a, b, skol1 ) ==> bigC( c, c
% 0.85/1.21 , skol1 ) }.
% 0.85/1.21 parent0[0]: (9) {G0,W9,D3,L1,V0,M1} I { ! bigC( c, c, skol1 ) ==> bigC( a,
% 0.85/1.21 b, skol1 ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1031) {G1,W9,D3,L1,V0,M1} { ! bigC( a, b, skol1 ) ==> bigC( c,
% 0.85/1.21 skol1, c ) }.
% 0.85/1.21 parent0[0]: (32) {G1,W9,D3,L1,V3,M1} P(7,4);d(7) { bigC( X, Y, Z ) = bigC(
% 0.85/1.21 X, Z, Y ) }.
% 0.85/1.21 parent1[0; 6]: (1029) {G0,W9,D3,L1,V0,M1} { ! bigC( a, b, skol1 ) ==> bigC
% 0.85/1.21 ( c, c, skol1 ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := c
% 0.85/1.21 Y := c
% 0.85/1.21 Z := skol1
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 subsumption: (62) {G2,W9,D3,L1,V0,M1} P(32,9) { ! bigC( a, b, skol1 ) ==>
% 0.85/1.21 bigC( c, skol1, c ) }.
% 0.85/1.21 parent0: (1031) {G1,W9,D3,L1,V0,M1} { ! bigC( a, b, skol1 ) ==> bigC( c,
% 0.85/1.21 skol1, c ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 end
% 0.85/1.21 permutation0:
% 0.85/1.21 0 ==> 0
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1039) {G0,W7,D4,L1,V2,M1} { Y ==> difference( X, product( X, Y )
% 0.85/1.21 ) }.
% 0.85/1.21 parent0[0]: (0) {G0,W7,D4,L1,V2,M1} I { difference( Y, product( Y, X ) )
% 0.85/1.21 ==> X }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := Y
% 0.85/1.21 Y := X
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1040) {G1,W10,D4,L1,V2,M1} { product( X, Y ) ==> difference( Y,
% 0.85/1.21 bigC( Y, Y, X ) ) }.
% 0.85/1.21 parent0[0]: (42) {G1,W10,D4,L1,V2,M1} P(5,7) { product( X, product( Y, X )
% 0.85/1.21 ) ==> bigC( X, X, Y ) }.
% 0.85/1.21 parent1[0; 6]: (1039) {G0,W7,D4,L1,V2,M1} { Y ==> difference( X, product(
% 0.85/1.21 X, Y ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := Y
% 0.85/1.21 Y := X
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := Y
% 0.85/1.21 Y := product( X, Y )
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1041) {G1,W10,D4,L1,V2,M1} { difference( Y, bigC( Y, Y, X ) ) ==>
% 0.85/1.21 product( X, Y ) }.
% 0.85/1.21 parent0[0]: (1040) {G1,W10,D4,L1,V2,M1} { product( X, Y ) ==> difference(
% 0.85/1.21 Y, bigC( Y, Y, X ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 subsumption: (66) {G2,W10,D4,L1,V2,M1} P(42,0) { difference( X, bigC( X, X
% 0.85/1.21 , Y ) ) ==> product( Y, X ) }.
% 0.85/1.21 parent0: (1041) {G1,W10,D4,L1,V2,M1} { difference( Y, bigC( Y, Y, X ) )
% 0.85/1.21 ==> product( X, Y ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := Y
% 0.85/1.21 Y := X
% 0.85/1.21 end
% 0.85/1.21 permutation0:
% 0.85/1.21 0 ==> 0
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1042) {G2,W10,D4,L1,V2,M1} { product( Y, X ) ==> difference( X,
% 0.85/1.21 bigC( X, X, Y ) ) }.
% 0.85/1.21 parent0[0]: (66) {G2,W10,D4,L1,V2,M1} P(42,0) { difference( X, bigC( X, X,
% 0.85/1.21 Y ) ) ==> product( Y, X ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1043) {G2,W10,D4,L1,V2,M1} { product( X, Y ) ==> difference( Y,
% 0.85/1.21 bigC( Y, X, Y ) ) }.
% 0.85/1.21 parent0[0]: (32) {G1,W9,D3,L1,V3,M1} P(7,4);d(7) { bigC( X, Y, Z ) = bigC(
% 0.85/1.21 X, Z, Y ) }.
% 0.85/1.21 parent1[0; 6]: (1042) {G2,W10,D4,L1,V2,M1} { product( Y, X ) ==>
% 0.85/1.21 difference( X, bigC( X, X, Y ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := Y
% 0.85/1.21 Y := Y
% 0.85/1.21 Z := X
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := Y
% 0.85/1.21 Y := X
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1046) {G2,W10,D4,L1,V2,M1} { difference( Y, bigC( Y, X, Y ) ) ==>
% 0.85/1.21 product( X, Y ) }.
% 0.85/1.21 parent0[0]: (1043) {G2,W10,D4,L1,V2,M1} { product( X, Y ) ==> difference(
% 0.85/1.21 Y, bigC( Y, X, Y ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 subsumption: (68) {G3,W10,D4,L1,V2,M1} P(32,66) { difference( X, bigC( X, Y
% 0.85/1.21 , X ) ) ==> product( Y, X ) }.
% 0.85/1.21 parent0: (1046) {G2,W10,D4,L1,V2,M1} { difference( Y, bigC( Y, X, Y ) )
% 0.85/1.21 ==> product( X, Y ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := Y
% 0.85/1.21 Y := X
% 0.85/1.21 end
% 0.85/1.21 permutation0:
% 0.85/1.21 0 ==> 0
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1048) {G1,W7,D4,L1,V2,M1} { Y ==> quotient( X, difference( Y, X )
% 0.85/1.21 ) }.
% 0.85/1.21 parent0[0]: (11) {G1,W7,D4,L1,V2,M1} P(1,2) { quotient( Y, difference( X, Y
% 0.85/1.21 ) ) ==> X }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := Y
% 0.85/1.21 Y := X
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1049) {G2,W10,D4,L1,V2,M1} { X ==> quotient( bigC( X, Y, X ),
% 0.85/1.21 product( Y, X ) ) }.
% 0.85/1.21 parent0[0]: (68) {G3,W10,D4,L1,V2,M1} P(32,66) { difference( X, bigC( X, Y
% 0.85/1.21 , X ) ) ==> product( Y, X ) }.
% 0.85/1.21 parent1[0; 7]: (1048) {G1,W7,D4,L1,V2,M1} { Y ==> quotient( X, difference
% 0.85/1.21 ( Y, X ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := bigC( X, Y, X )
% 0.85/1.21 Y := X
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1050) {G2,W10,D4,L1,V2,M1} { quotient( bigC( X, Y, X ), product(
% 0.85/1.21 Y, X ) ) ==> X }.
% 0.85/1.21 parent0[0]: (1049) {G2,W10,D4,L1,V2,M1} { X ==> quotient( bigC( X, Y, X )
% 0.85/1.21 , product( Y, X ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 subsumption: (69) {G4,W10,D4,L1,V2,M1} P(68,11) { quotient( bigC( X, Y, X )
% 0.85/1.21 , product( Y, X ) ) ==> X }.
% 0.85/1.21 parent0: (1050) {G2,W10,D4,L1,V2,M1} { quotient( bigC( X, Y, X ), product
% 0.85/1.21 ( Y, X ) ) ==> X }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21 permutation0:
% 0.85/1.21 0 ==> 0
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1052) {G4,W10,D4,L1,V2,M1} { X ==> quotient( bigC( X, Y, X ),
% 0.85/1.21 product( Y, X ) ) }.
% 0.85/1.21 parent0[0]: (69) {G4,W10,D4,L1,V2,M1} P(68,11) { quotient( bigC( X, Y, X )
% 0.85/1.21 , product( Y, X ) ) ==> X }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1055) {G1,W10,D5,L1,V2,M1} { X ==> quotient( bigC( X, quotient(
% 0.85/1.21 Y, X ), X ), Y ) }.
% 0.85/1.21 parent0[0]: (3) {G0,W7,D4,L1,V2,M1} I { product( quotient( Y, X ), X ) ==>
% 0.85/1.21 Y }.
% 0.85/1.21 parent1[0; 9]: (1052) {G4,W10,D4,L1,V2,M1} { X ==> quotient( bigC( X, Y, X
% 0.85/1.21 ), product( Y, X ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := X
% 0.85/1.21 Y := quotient( Y, X )
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1056) {G1,W10,D5,L1,V2,M1} { quotient( bigC( X, quotient( Y, X )
% 0.85/1.21 , X ), Y ) ==> X }.
% 0.85/1.21 parent0[0]: (1055) {G1,W10,D5,L1,V2,M1} { X ==> quotient( bigC( X,
% 0.85/1.21 quotient( Y, X ), X ), Y ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 subsumption: (71) {G5,W10,D5,L1,V2,M1} P(3,69) { quotient( bigC( Y,
% 0.85/1.21 quotient( X, Y ), Y ), X ) ==> Y }.
% 0.85/1.21 parent0: (1056) {G1,W10,D5,L1,V2,M1} { quotient( bigC( X, quotient( Y, X )
% 0.85/1.21 , X ), Y ) ==> X }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := Y
% 0.85/1.21 Y := X
% 0.85/1.21 end
% 0.85/1.21 permutation0:
% 0.85/1.21 0 ==> 0
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1058) {G0,W7,D4,L1,V2,M1} { X ==> quotient( product( X, Y ), Y )
% 0.85/1.21 }.
% 0.85/1.21 parent0[0]: (2) {G0,W7,D4,L1,V2,M1} I { quotient( product( Y, X ), X ) ==>
% 0.85/1.21 Y }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := Y
% 0.85/1.21 Y := X
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1059) {G1,W10,D4,L1,V2,M1} { product( X, Y ) ==> quotient( bigC
% 0.85/1.21 ( X, Y, X ), X ) }.
% 0.85/1.21 parent0[0]: (43) {G1,W10,D4,L1,V2,M1} P(5,7) { product( product( X, Y ), X
% 0.85/1.21 ) ==> bigC( X, Y, X ) }.
% 0.85/1.21 parent1[0; 5]: (1058) {G0,W7,D4,L1,V2,M1} { X ==> quotient( product( X, Y
% 0.85/1.21 ), Y ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := product( X, Y )
% 0.85/1.21 Y := X
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1060) {G1,W10,D4,L1,V2,M1} { quotient( bigC( X, Y, X ), X ) ==>
% 0.85/1.21 product( X, Y ) }.
% 0.85/1.21 parent0[0]: (1059) {G1,W10,D4,L1,V2,M1} { product( X, Y ) ==> quotient(
% 0.85/1.21 bigC( X, Y, X ), X ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 subsumption: (76) {G2,W10,D4,L1,V2,M1} P(43,2) { quotient( bigC( X, Y, X )
% 0.85/1.21 , X ) ==> product( X, Y ) }.
% 0.85/1.21 parent0: (1060) {G1,W10,D4,L1,V2,M1} { quotient( bigC( X, Y, X ), X ) ==>
% 0.85/1.21 product( X, Y ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21 permutation0:
% 0.85/1.21 0 ==> 0
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1061) {G2,W10,D4,L1,V2,M1} { product( X, Y ) ==> quotient( bigC(
% 0.85/1.21 X, Y, X ), X ) }.
% 0.85/1.21 parent0[0]: (76) {G2,W10,D4,L1,V2,M1} P(43,2) { quotient( bigC( X, Y, X ),
% 0.85/1.21 X ) ==> product( X, Y ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1062) {G2,W10,D4,L1,V2,M1} { product( X, Y ) ==> quotient( bigC
% 0.85/1.21 ( X, X, Y ), X ) }.
% 0.85/1.21 parent0[0]: (32) {G1,W9,D3,L1,V3,M1} P(7,4);d(7) { bigC( X, Y, Z ) = bigC(
% 0.85/1.21 X, Z, Y ) }.
% 0.85/1.21 parent1[0; 5]: (1061) {G2,W10,D4,L1,V2,M1} { product( X, Y ) ==> quotient
% 0.85/1.21 ( bigC( X, Y, X ), X ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 Z := X
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1065) {G2,W10,D4,L1,V2,M1} { quotient( bigC( X, X, Y ), X ) ==>
% 0.85/1.21 product( X, Y ) }.
% 0.85/1.21 parent0[0]: (1062) {G2,W10,D4,L1,V2,M1} { product( X, Y ) ==> quotient(
% 0.85/1.21 bigC( X, X, Y ), X ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 subsumption: (78) {G3,W10,D4,L1,V2,M1} P(32,76) { quotient( bigC( X, X, Y )
% 0.85/1.21 , X ) ==> product( X, Y ) }.
% 0.85/1.21 parent0: (1065) {G2,W10,D4,L1,V2,M1} { quotient( bigC( X, X, Y ), X ) ==>
% 0.85/1.21 product( X, Y ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21 permutation0:
% 0.85/1.21 0 ==> 0
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1067) {G1,W15,D5,L1,V4,M1} { product( Z, T ) ==> difference(
% 0.85/1.21 product( X, Y ), product( product( X, Z ), product( Y, T ) ) ) }.
% 0.85/1.21 parent0[0]: (16) {G1,W15,D5,L1,V4,M1} P(4,0) { difference( product( X, Y )
% 0.85/1.21 , product( product( X, Z ), product( Y, T ) ) ) ==> product( Z, T ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 Z := Z
% 0.85/1.21 T := T
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1070) {G1,W12,D4,L1,V3,M1} { product( X, Y ) ==> difference(
% 0.85/1.21 product( Y, Z ), bigC( Y, X, Z ) ) }.
% 0.85/1.21 parent0[0]: (7) {G0,W12,D4,L1,V3,M1} I { product( product( Z, Y ), product
% 0.85/1.21 ( X, Z ) ) ==> bigC( Z, Y, X ) }.
% 0.85/1.21 parent1[0; 8]: (1067) {G1,W15,D5,L1,V4,M1} { product( Z, T ) ==>
% 0.85/1.21 difference( product( X, Y ), product( product( X, Z ), product( Y, T ) )
% 0.85/1.21 ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := Z
% 0.85/1.21 Y := X
% 0.85/1.21 Z := Y
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := Y
% 0.85/1.21 Y := Z
% 0.85/1.21 Z := X
% 0.85/1.21 T := Y
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1075) {G1,W12,D4,L1,V3,M1} { difference( product( Y, Z ), bigC( Y
% 0.85/1.21 , X, Z ) ) ==> product( X, Y ) }.
% 0.85/1.21 parent0[0]: (1070) {G1,W12,D4,L1,V3,M1} { product( X, Y ) ==> difference(
% 0.85/1.21 product( Y, Z ), bigC( Y, X, Z ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 Z := Z
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 subsumption: (80) {G2,W12,D4,L1,V3,M1} P(7,16) { difference( product( X, Z
% 0.85/1.21 ), bigC( X, Y, Z ) ) ==> product( Y, X ) }.
% 0.85/1.21 parent0: (1075) {G1,W12,D4,L1,V3,M1} { difference( product( Y, Z ), bigC(
% 0.85/1.21 Y, X, Z ) ) ==> product( X, Y ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := Y
% 0.85/1.21 Y := X
% 0.85/1.21 Z := Z
% 0.85/1.21 end
% 0.85/1.21 permutation0:
% 0.85/1.21 0 ==> 0
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1079) {G1,W15,D5,L1,V4,M1} { product( Z, T ) ==> difference(
% 0.85/1.21 product( X, Y ), product( product( X, Z ), product( Y, T ) ) ) }.
% 0.85/1.21 parent0[0]: (16) {G1,W15,D5,L1,V4,M1} P(4,0) { difference( product( X, Y )
% 0.85/1.21 , product( product( X, Z ), product( Y, T ) ) ) ==> product( Z, T ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 Z := Z
% 0.85/1.21 T := T
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1084) {G1,W15,D5,L1,V4,M1} { product( X, difference( Y, Z ) )
% 0.85/1.21 ==> difference( product( T, Y ), product( product( T, X ), Z ) ) }.
% 0.85/1.21 parent0[0]: (1) {G0,W7,D4,L1,V2,M1} I { product( Y, difference( Y, X ) )
% 0.85/1.21 ==> X }.
% 0.85/1.21 parent1[0; 14]: (1079) {G1,W15,D5,L1,V4,M1} { product( Z, T ) ==>
% 0.85/1.21 difference( product( X, Y ), product( product( X, Z ), product( Y, T ) )
% 0.85/1.21 ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := Z
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := T
% 0.85/1.21 Y := Y
% 0.85/1.21 Z := X
% 0.85/1.21 T := difference( Y, Z )
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1088) {G1,W15,D5,L1,V4,M1} { difference( product( T, Y ), product
% 0.85/1.21 ( product( T, X ), Z ) ) ==> product( X, difference( Y, Z ) ) }.
% 0.85/1.21 parent0[0]: (1084) {G1,W15,D5,L1,V4,M1} { product( X, difference( Y, Z ) )
% 0.85/1.21 ==> difference( product( T, Y ), product( product( T, X ), Z ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 Z := Z
% 0.85/1.21 T := T
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 subsumption: (82) {G2,W15,D5,L1,V4,M1} P(1,16) { difference( product( Z, X
% 0.85/1.21 ), product( product( Z, T ), Y ) ) ==> product( T, difference( X, Y ) )
% 0.85/1.21 }.
% 0.85/1.21 parent0: (1088) {G1,W15,D5,L1,V4,M1} { difference( product( T, Y ),
% 0.85/1.21 product( product( T, X ), Z ) ) ==> product( X, difference( Y, Z ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := T
% 0.85/1.21 Y := X
% 0.85/1.21 Z := Y
% 0.85/1.21 T := Z
% 0.85/1.21 end
% 0.85/1.21 permutation0:
% 0.85/1.21 0 ==> 0
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1090) {G0,W7,D4,L1,V2,M1} { X ==> product( quotient( X, Y ), Y )
% 0.85/1.21 }.
% 0.85/1.21 parent0[0]: (3) {G0,W7,D4,L1,V2,M1} I { product( quotient( Y, X ), X ) ==>
% 0.85/1.21 Y }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := Y
% 0.85/1.21 Y := X
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1091) {G1,W10,D4,L1,V2,M1} { bigC( X, quotient( Y, X ), X ) ==>
% 0.85/1.21 product( X, Y ) }.
% 0.85/1.21 parent0[0]: (71) {G5,W10,D5,L1,V2,M1} P(3,69) { quotient( bigC( Y, quotient
% 0.85/1.21 ( X, Y ), Y ), X ) ==> Y }.
% 0.85/1.21 parent1[0; 8]: (1090) {G0,W7,D4,L1,V2,M1} { X ==> product( quotient( X, Y
% 0.85/1.21 ), Y ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := Y
% 0.85/1.21 Y := X
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := bigC( X, quotient( Y, X ), X )
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 subsumption: (85) {G6,W10,D4,L1,V2,M1} P(71,3) { bigC( X, quotient( Y, X )
% 0.85/1.21 , X ) ==> product( X, Y ) }.
% 0.85/1.21 parent0: (1091) {G1,W10,D4,L1,V2,M1} { bigC( X, quotient( Y, X ), X ) ==>
% 0.85/1.21 product( X, Y ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21 permutation0:
% 0.85/1.21 0 ==> 0
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1094) {G2,W10,D4,L1,V2,M1} { product( X, Y ) ==> quotient( bigC(
% 0.85/1.21 X, Y, X ), X ) }.
% 0.85/1.21 parent0[0]: (76) {G2,W10,D4,L1,V2,M1} P(43,2) { quotient( bigC( X, Y, X ),
% 0.85/1.21 X ) ==> product( X, Y ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1097) {G3,W11,D4,L1,V2,M1} { product( X, quotient( Y, X ) ) ==>
% 0.85/1.21 quotient( product( X, Y ), X ) }.
% 0.85/1.21 parent0[0]: (85) {G6,W10,D4,L1,V2,M1} P(71,3) { bigC( X, quotient( Y, X ),
% 0.85/1.21 X ) ==> product( X, Y ) }.
% 0.85/1.21 parent1[0; 7]: (1094) {G2,W10,D4,L1,V2,M1} { product( X, Y ) ==> quotient
% 0.85/1.21 ( bigC( X, Y, X ), X ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := X
% 0.85/1.21 Y := quotient( Y, X )
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1098) {G3,W11,D4,L1,V2,M1} { quotient( product( X, Y ), X ) ==>
% 0.85/1.21 product( X, quotient( Y, X ) ) }.
% 0.85/1.21 parent0[0]: (1097) {G3,W11,D4,L1,V2,M1} { product( X, quotient( Y, X ) )
% 0.85/1.21 ==> quotient( product( X, Y ), X ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 subsumption: (87) {G7,W11,D4,L1,V2,M1} P(85,76) { quotient( product( X, Y )
% 0.85/1.21 , X ) ==> product( X, quotient( Y, X ) ) }.
% 0.85/1.21 parent0: (1098) {G3,W11,D4,L1,V2,M1} { quotient( product( X, Y ), X ) ==>
% 0.85/1.21 product( X, quotient( Y, X ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21 permutation0:
% 0.85/1.21 0 ==> 0
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1100) {G1,W7,D4,L1,V2,M1} { Y ==> difference( quotient( X, Y ), X
% 0.85/1.21 ) }.
% 0.85/1.21 parent0[0]: (12) {G1,W7,D4,L1,V2,M1} P(3,0) { difference( quotient( X, Y )
% 0.85/1.21 , X ) ==> Y }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1101) {G2,W11,D5,L1,V2,M1} { X ==> difference( product( X,
% 0.85/1.21 quotient( Y, X ) ), product( X, Y ) ) }.
% 0.85/1.21 parent0[0]: (87) {G7,W11,D4,L1,V2,M1} P(85,76) { quotient( product( X, Y )
% 0.85/1.21 , X ) ==> product( X, quotient( Y, X ) ) }.
% 0.85/1.21 parent1[0; 3]: (1100) {G1,W7,D4,L1,V2,M1} { Y ==> difference( quotient( X
% 0.85/1.21 , Y ), X ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := product( X, Y )
% 0.85/1.21 Y := X
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1102) {G2,W11,D5,L1,V2,M1} { difference( product( X, quotient( Y
% 0.85/1.21 , X ) ), product( X, Y ) ) ==> X }.
% 0.85/1.21 parent0[0]: (1101) {G2,W11,D5,L1,V2,M1} { X ==> difference( product( X,
% 0.85/1.21 quotient( Y, X ) ), product( X, Y ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 subsumption: (90) {G8,W11,D5,L1,V2,M1} P(87,12) { difference( product( X,
% 0.85/1.21 quotient( Y, X ) ), product( X, Y ) ) ==> X }.
% 0.85/1.21 parent0: (1102) {G2,W11,D5,L1,V2,M1} { difference( product( X, quotient( Y
% 0.85/1.21 , X ) ), product( X, Y ) ) ==> X }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21 permutation0:
% 0.85/1.21 0 ==> 0
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1104) {G7,W11,D4,L1,V2,M1} { product( X, quotient( Y, X ) ) ==>
% 0.85/1.21 quotient( product( X, Y ), X ) }.
% 0.85/1.21 parent0[0]: (87) {G7,W11,D4,L1,V2,M1} P(85,76) { quotient( product( X, Y )
% 0.85/1.21 , X ) ==> product( X, quotient( Y, X ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1105) {G1,W11,D5,L1,V2,M1} { product( X, quotient( difference( X
% 0.85/1.21 , Y ), X ) ) ==> quotient( Y, X ) }.
% 0.85/1.21 parent0[0]: (1) {G0,W7,D4,L1,V2,M1} I { product( Y, difference( Y, X ) )
% 0.85/1.21 ==> X }.
% 0.85/1.21 parent1[0; 9]: (1104) {G7,W11,D4,L1,V2,M1} { product( X, quotient( Y, X )
% 0.85/1.21 ) ==> quotient( product( X, Y ), X ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := Y
% 0.85/1.21 Y := X
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := X
% 0.85/1.21 Y := difference( X, Y )
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 subsumption: (91) {G8,W11,D5,L1,V2,M1} P(1,87) { product( X, quotient(
% 0.85/1.21 difference( X, Y ), X ) ) ==> quotient( Y, X ) }.
% 0.85/1.21 parent0: (1105) {G1,W11,D5,L1,V2,M1} { product( X, quotient( difference( X
% 0.85/1.21 , Y ), X ) ) ==> quotient( Y, X ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21 permutation0:
% 0.85/1.21 0 ==> 0
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1107) {G1,W15,D5,L1,V4,M1} { product( Z, product( Y, T ) ) ==>
% 0.85/1.21 product( product( X, Y ), product( difference( X, Z ), T ) ) }.
% 0.85/1.21 parent0[0]: (17) {G1,W15,D5,L1,V4,M1} P(1,4) { product( product( X, Z ),
% 0.85/1.21 product( difference( X, Y ), T ) ) ==> product( Y, product( Z, T ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Z
% 0.85/1.21 Z := Y
% 0.85/1.21 T := T
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1111) {G1,W12,D4,L1,V3,M1} { product( X, product( Y, Z ) ) ==>
% 0.85/1.21 bigC( Z, Y, difference( Z, X ) ) }.
% 0.85/1.21 parent0[0]: (7) {G0,W12,D4,L1,V3,M1} I { product( product( Z, Y ), product
% 0.85/1.21 ( X, Z ) ) ==> bigC( Z, Y, X ) }.
% 0.85/1.21 parent1[0; 6]: (1107) {G1,W15,D5,L1,V4,M1} { product( Z, product( Y, T ) )
% 0.85/1.21 ==> product( product( X, Y ), product( difference( X, Z ), T ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := difference( Z, X )
% 0.85/1.21 Y := Y
% 0.85/1.21 Z := Z
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := Z
% 0.85/1.21 Y := Y
% 0.85/1.21 Z := X
% 0.85/1.21 T := Z
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1115) {G1,W12,D4,L1,V3,M1} { bigC( Z, Y, difference( Z, X ) ) ==>
% 0.85/1.21 product( X, product( Y, Z ) ) }.
% 0.85/1.21 parent0[0]: (1111) {G1,W12,D4,L1,V3,M1} { product( X, product( Y, Z ) )
% 0.85/1.21 ==> bigC( Z, Y, difference( Z, X ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 Z := Z
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 subsumption: (93) {G2,W12,D4,L1,V3,M1} P(17,7) { bigC( X, Y, difference( X
% 0.85/1.21 , Z ) ) ==> product( Z, product( Y, X ) ) }.
% 0.85/1.21 parent0: (1115) {G1,W12,D4,L1,V3,M1} { bigC( Z, Y, difference( Z, X ) )
% 0.85/1.21 ==> product( X, product( Y, Z ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := Z
% 0.85/1.21 Y := Y
% 0.85/1.21 Z := X
% 0.85/1.21 end
% 0.85/1.21 permutation0:
% 0.85/1.21 0 ==> 0
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1118) {G0,W7,D4,L1,V2,M1} { Y ==> difference( X, product( X, Y )
% 0.85/1.21 ) }.
% 0.85/1.21 parent0[0]: (0) {G0,W7,D4,L1,V2,M1} I { difference( Y, product( Y, X ) )
% 0.85/1.21 ==> X }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := Y
% 0.85/1.21 Y := X
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1121) {G1,W11,D4,L1,V2,M1} { quotient( difference( X, Y ), X )
% 0.85/1.21 ==> difference( X, quotient( Y, X ) ) }.
% 0.85/1.21 parent0[0]: (91) {G8,W11,D5,L1,V2,M1} P(1,87) { product( X, quotient(
% 0.85/1.21 difference( X, Y ), X ) ) ==> quotient( Y, X ) }.
% 0.85/1.21 parent1[0; 8]: (1118) {G0,W7,D4,L1,V2,M1} { Y ==> difference( X, product(
% 0.85/1.21 X, Y ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := X
% 0.85/1.21 Y := quotient( difference( X, Y ), X )
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 subsumption: (110) {G9,W11,D4,L1,V2,M1} P(91,0) { quotient( difference( X,
% 0.85/1.21 Y ), X ) ==> difference( X, quotient( Y, X ) ) }.
% 0.85/1.21 parent0: (1121) {G1,W11,D4,L1,V2,M1} { quotient( difference( X, Y ), X )
% 0.85/1.21 ==> difference( X, quotient( Y, X ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21 permutation0:
% 0.85/1.21 0 ==> 0
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1124) {G1,W7,D4,L1,V2,M1} { Y ==> difference( quotient( X, Y ), X
% 0.85/1.21 ) }.
% 0.85/1.21 parent0[0]: (12) {G1,W7,D4,L1,V2,M1} P(3,0) { difference( quotient( X, Y )
% 0.85/1.21 , X ) ==> Y }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1127) {G2,W11,D5,L1,V2,M1} { X ==> difference( difference( X,
% 0.85/1.21 quotient( Y, X ) ), difference( X, Y ) ) }.
% 0.85/1.21 parent0[0]: (110) {G9,W11,D4,L1,V2,M1} P(91,0) { quotient( difference( X, Y
% 0.85/1.21 ), X ) ==> difference( X, quotient( Y, X ) ) }.
% 0.85/1.21 parent1[0; 3]: (1124) {G1,W7,D4,L1,V2,M1} { Y ==> difference( quotient( X
% 0.85/1.21 , Y ), X ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := difference( X, Y )
% 0.85/1.21 Y := X
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1128) {G2,W11,D5,L1,V2,M1} { difference( difference( X, quotient
% 0.85/1.21 ( Y, X ) ), difference( X, Y ) ) ==> X }.
% 0.85/1.21 parent0[0]: (1127) {G2,W11,D5,L1,V2,M1} { X ==> difference( difference( X
% 0.85/1.21 , quotient( Y, X ) ), difference( X, Y ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 subsumption: (111) {G10,W11,D5,L1,V2,M1} P(110,12) { difference( difference
% 0.85/1.21 ( X, quotient( Y, X ) ), difference( X, Y ) ) ==> X }.
% 0.85/1.21 parent0: (1128) {G2,W11,D5,L1,V2,M1} { difference( difference( X, quotient
% 0.85/1.21 ( Y, X ) ), difference( X, Y ) ) ==> X }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21 permutation0:
% 0.85/1.21 0 ==> 0
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1130) {G10,W11,D5,L1,V2,M1} { X ==> difference( difference( X,
% 0.85/1.21 quotient( Y, X ) ), difference( X, Y ) ) }.
% 0.85/1.21 parent0[0]: (111) {G10,W11,D5,L1,V2,M1} P(110,12) { difference( difference
% 0.85/1.21 ( X, quotient( Y, X ) ), difference( X, Y ) ) ==> X }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1132) {G6,W14,D6,L1,V2,M1} { X ==> difference( difference( X, Y
% 0.85/1.21 ), difference( X, bigC( Y, quotient( X, Y ), Y ) ) ) }.
% 0.85/1.21 parent0[0]: (71) {G5,W10,D5,L1,V2,M1} P(3,69) { quotient( bigC( Y, quotient
% 0.85/1.21 ( X, Y ), Y ), X ) ==> Y }.
% 0.85/1.21 parent1[0; 5]: (1130) {G10,W11,D5,L1,V2,M1} { X ==> difference( difference
% 0.85/1.21 ( X, quotient( Y, X ) ), difference( X, Y ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := X
% 0.85/1.21 Y := bigC( Y, quotient( X, Y ), Y )
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1133) {G7,W11,D5,L1,V2,M1} { X ==> difference( difference( X, Y
% 0.85/1.21 ), difference( X, product( Y, X ) ) ) }.
% 0.85/1.21 parent0[0]: (85) {G6,W10,D4,L1,V2,M1} P(71,3) { bigC( X, quotient( Y, X ),
% 0.85/1.21 X ) ==> product( X, Y ) }.
% 0.85/1.21 parent1[0; 8]: (1132) {G6,W14,D6,L1,V2,M1} { X ==> difference( difference
% 0.85/1.21 ( X, Y ), difference( X, bigC( Y, quotient( X, Y ), Y ) ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := Y
% 0.85/1.21 Y := X
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1134) {G7,W11,D5,L1,V2,M1} { difference( difference( X, Y ),
% 0.85/1.21 difference( X, product( Y, X ) ) ) ==> X }.
% 0.85/1.21 parent0[0]: (1133) {G7,W11,D5,L1,V2,M1} { X ==> difference( difference( X
% 0.85/1.21 , Y ), difference( X, product( Y, X ) ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 subsumption: (115) {G11,W11,D5,L1,V2,M1} P(71,111);d(85) { difference(
% 0.85/1.21 difference( Y, X ), difference( Y, product( X, Y ) ) ) ==> Y }.
% 0.85/1.21 parent0: (1134) {G7,W11,D5,L1,V2,M1} { difference( difference( X, Y ),
% 0.85/1.21 difference( X, product( Y, X ) ) ) ==> X }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := Y
% 0.85/1.21 Y := X
% 0.85/1.21 end
% 0.85/1.21 permutation0:
% 0.85/1.21 0 ==> 0
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1136) {G0,W7,D4,L1,V2,M1} { Y ==> product( X, difference( X, Y )
% 0.85/1.21 ) }.
% 0.85/1.21 parent0[0]: (1) {G0,W7,D4,L1,V2,M1} I { product( Y, difference( Y, X ) )
% 0.85/1.21 ==> X }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := Y
% 0.85/1.21 Y := X
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1139) {G1,W11,D4,L1,V2,M1} { difference( X, product( Y, X ) )
% 0.85/1.21 ==> product( difference( X, Y ), X ) }.
% 0.85/1.21 parent0[0]: (115) {G11,W11,D5,L1,V2,M1} P(71,111);d(85) { difference(
% 0.85/1.21 difference( Y, X ), difference( Y, product( X, Y ) ) ) ==> Y }.
% 0.85/1.21 parent1[0; 10]: (1136) {G0,W7,D4,L1,V2,M1} { Y ==> product( X, difference
% 0.85/1.21 ( X, Y ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := Y
% 0.85/1.21 Y := X
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := difference( X, Y )
% 0.85/1.21 Y := difference( X, product( Y, X ) )
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 subsumption: (126) {G12,W11,D4,L1,V2,M1} P(115,1) { difference( X, product
% 0.85/1.21 ( Y, X ) ) ==> product( difference( X, Y ), X ) }.
% 0.85/1.21 parent0: (1139) {G1,W11,D4,L1,V2,M1} { difference( X, product( Y, X ) )
% 0.85/1.21 ==> product( difference( X, Y ), X ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21 permutation0:
% 0.85/1.21 0 ==> 0
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1142) {G1,W7,D4,L1,V2,M1} { Y ==> quotient( X, difference( Y, X )
% 0.85/1.21 ) }.
% 0.85/1.21 parent0[0]: (11) {G1,W7,D4,L1,V2,M1} P(1,2) { quotient( Y, difference( X, Y
% 0.85/1.21 ) ) ==> X }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := Y
% 0.85/1.21 Y := X
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1143) {G2,W11,D5,L1,V2,M1} { X ==> quotient( product( Y, X ),
% 0.85/1.21 product( difference( X, Y ), X ) ) }.
% 0.85/1.21 parent0[0]: (126) {G12,W11,D4,L1,V2,M1} P(115,1) { difference( X, product(
% 0.85/1.21 Y, X ) ) ==> product( difference( X, Y ), X ) }.
% 0.85/1.21 parent1[0; 6]: (1142) {G1,W7,D4,L1,V2,M1} { Y ==> quotient( X, difference
% 0.85/1.21 ( Y, X ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := product( Y, X )
% 0.85/1.21 Y := X
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1144) {G2,W11,D5,L1,V2,M1} { quotient( product( Y, X ), product(
% 0.85/1.21 difference( X, Y ), X ) ) ==> X }.
% 0.85/1.21 parent0[0]: (1143) {G2,W11,D5,L1,V2,M1} { X ==> quotient( product( Y, X )
% 0.85/1.21 , product( difference( X, Y ), X ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 subsumption: (127) {G13,W11,D5,L1,V2,M1} P(126,11) { quotient( product( Y,
% 0.85/1.21 X ), product( difference( X, Y ), X ) ) ==> X }.
% 0.85/1.21 parent0: (1144) {G2,W11,D5,L1,V2,M1} { quotient( product( Y, X ), product
% 0.85/1.21 ( difference( X, Y ), X ) ) ==> X }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21 permutation0:
% 0.85/1.21 0 ==> 0
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1146) {G1,W15,D5,L1,V4,M1} { product( X, Z ) ==> quotient(
% 0.85/1.21 product( product( X, Y ), product( Z, T ) ), product( Y, T ) ) }.
% 0.85/1.21 parent0[0]: (19) {G1,W15,D5,L1,V4,M1} P(4,2) { quotient( product( product(
% 0.85/1.21 X, Z ), product( Y, T ) ), product( Z, T ) ) ==> product( X, Y ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Z
% 0.85/1.21 Z := Y
% 0.85/1.21 T := T
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1149) {G1,W15,D5,L1,V4,M1} { product( quotient( X, Y ), Z ) ==>
% 0.85/1.21 quotient( product( X, product( Z, T ) ), product( Y, T ) ) }.
% 0.85/1.21 parent0[0]: (3) {G0,W7,D4,L1,V2,M1} I { product( quotient( Y, X ), X ) ==>
% 0.85/1.21 Y }.
% 0.85/1.21 parent1[0; 8]: (1146) {G1,W15,D5,L1,V4,M1} { product( X, Z ) ==> quotient
% 0.85/1.21 ( product( product( X, Y ), product( Z, T ) ), product( Y, T ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := Y
% 0.85/1.21 Y := X
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := quotient( X, Y )
% 0.85/1.21 Y := Y
% 0.85/1.21 Z := Z
% 0.85/1.21 T := T
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1153) {G1,W15,D5,L1,V4,M1} { quotient( product( X, product( Z, T
% 0.85/1.21 ) ), product( Y, T ) ) ==> product( quotient( X, Y ), Z ) }.
% 0.85/1.21 parent0[0]: (1149) {G1,W15,D5,L1,V4,M1} { product( quotient( X, Y ), Z )
% 0.85/1.21 ==> quotient( product( X, product( Z, T ) ), product( Y, T ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 Z := Z
% 0.85/1.21 T := T
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 subsumption: (138) {G2,W15,D5,L1,V4,M1} P(3,19) { quotient( product( X,
% 0.85/1.21 product( Z, T ) ), product( Y, T ) ) ==> product( quotient( X, Y ), Z )
% 0.85/1.21 }.
% 0.85/1.21 parent0: (1153) {G1,W15,D5,L1,V4,M1} { quotient( product( X, product( Z, T
% 0.85/1.21 ) ), product( Y, T ) ) ==> product( quotient( X, Y ), Z ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 Z := Z
% 0.85/1.21 T := T
% 0.85/1.21 end
% 0.85/1.21 permutation0:
% 0.85/1.21 0 ==> 0
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1157) {G1,W15,D5,L1,V4,M1} { product( X, Z ) ==> quotient(
% 0.85/1.21 product( product( X, Y ), product( Z, T ) ), product( Y, T ) ) }.
% 0.85/1.21 parent0[0]: (19) {G1,W15,D5,L1,V4,M1} P(4,2) { quotient( product( product(
% 0.85/1.21 X, Z ), product( Y, T ) ), product( Z, T ) ) ==> product( X, Y ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Z
% 0.85/1.21 Z := Y
% 0.85/1.21 T := T
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1161) {G1,W15,D5,L1,V4,M1} { product( X, quotient( Y, Z ) ) ==>
% 0.85/1.21 quotient( product( product( X, T ), Y ), product( T, Z ) ) }.
% 0.85/1.21 parent0[0]: (3) {G0,W7,D4,L1,V2,M1} I { product( quotient( Y, X ), X ) ==>
% 0.85/1.21 Y }.
% 0.85/1.21 parent1[0; 11]: (1157) {G1,W15,D5,L1,V4,M1} { product( X, Z ) ==> quotient
% 0.85/1.21 ( product( product( X, Y ), product( Z, T ) ), product( Y, T ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := Z
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := X
% 0.85/1.21 Y := T
% 0.85/1.21 Z := quotient( Y, Z )
% 0.85/1.21 T := Z
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1165) {G1,W15,D5,L1,V4,M1} { quotient( product( product( X, T ),
% 0.85/1.21 Y ), product( T, Z ) ) ==> product( X, quotient( Y, Z ) ) }.
% 0.85/1.21 parent0[0]: (1161) {G1,W15,D5,L1,V4,M1} { product( X, quotient( Y, Z ) )
% 0.85/1.21 ==> quotient( product( product( X, T ), Y ), product( T, Z ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 Z := Z
% 0.85/1.21 T := T
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 subsumption: (139) {G2,W15,D5,L1,V4,M1} P(3,19) { quotient( product(
% 0.85/1.21 product( Z, T ), X ), product( T, Y ) ) ==> product( Z, quotient( X, Y )
% 0.85/1.21 ) }.
% 0.85/1.21 parent0: (1165) {G1,W15,D5,L1,V4,M1} { quotient( product( product( X, T )
% 0.85/1.21 , Y ), product( T, Z ) ) ==> product( X, quotient( Y, Z ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := Z
% 0.85/1.21 Y := X
% 0.85/1.21 Z := Y
% 0.85/1.21 T := T
% 0.85/1.21 end
% 0.85/1.21 permutation0:
% 0.85/1.21 0 ==> 0
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1168) {G2,W12,D4,L1,V3,M1} { product( Z, product( Y, X ) ) ==>
% 0.85/1.21 bigC( X, Y, difference( X, Z ) ) }.
% 0.85/1.21 parent0[0]: (93) {G2,W12,D4,L1,V3,M1} P(17,7) { bigC( X, Y, difference( X,
% 0.85/1.21 Z ) ) ==> product( Z, product( Y, X ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 Z := Z
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1169) {G3,W15,D4,L1,V3,M1} { product( bigC( X, Y, X ), product(
% 0.85/1.21 Z, X ) ) ==> bigC( X, Z, product( Y, X ) ) }.
% 0.85/1.21 parent0[0]: (68) {G3,W10,D4,L1,V2,M1} P(32,66) { difference( X, bigC( X, Y
% 0.85/1.21 , X ) ) ==> product( Y, X ) }.
% 0.85/1.21 parent1[0; 12]: (1168) {G2,W12,D4,L1,V3,M1} { product( Z, product( Y, X )
% 0.85/1.21 ) ==> bigC( X, Y, difference( X, Z ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Z
% 0.85/1.21 Z := bigC( X, Y, X )
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 subsumption: (145) {G4,W15,D4,L1,V3,M1} P(68,93) { product( bigC( X, Y, X )
% 0.85/1.21 , product( Z, X ) ) ==> bigC( X, Z, product( Y, X ) ) }.
% 0.85/1.21 parent0: (1169) {G3,W15,D4,L1,V3,M1} { product( bigC( X, Y, X ), product(
% 0.85/1.21 Z, X ) ) ==> bigC( X, Z, product( Y, X ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 Z := Z
% 0.85/1.21 end
% 0.85/1.21 permutation0:
% 0.85/1.21 0 ==> 0
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1171) {G1,W12,D4,L1,V3,M1} { product( product( X, Y ), Z ) ==>
% 0.85/1.21 bigC( X, Y, quotient( Z, X ) ) }.
% 0.85/1.21 parent0[0]: (40) {G1,W12,D4,L1,V3,M1} P(3,7) { bigC( Y, Z, quotient( X, Y )
% 0.85/1.21 ) ==> product( product( Y, Z ), X ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := Z
% 0.85/1.21 Y := X
% 0.85/1.21 Z := Y
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1172) {G2,W12,D4,L1,V3,M1} { product( product( X, Y ), Z ) ==>
% 0.85/1.21 bigC( X, quotient( Z, X ), Y ) }.
% 0.85/1.21 parent0[0]: (32) {G1,W9,D3,L1,V3,M1} P(7,4);d(7) { bigC( X, Y, Z ) = bigC(
% 0.85/1.21 X, Z, Y ) }.
% 0.85/1.21 parent1[0; 6]: (1171) {G1,W12,D4,L1,V3,M1} { product( product( X, Y ), Z )
% 0.85/1.21 ==> bigC( X, Y, quotient( Z, X ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 Z := quotient( Z, X )
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 Z := Z
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1175) {G2,W12,D4,L1,V3,M1} { bigC( X, quotient( Z, X ), Y ) ==>
% 0.85/1.21 product( product( X, Y ), Z ) }.
% 0.85/1.21 parent0[0]: (1172) {G2,W12,D4,L1,V3,M1} { product( product( X, Y ), Z )
% 0.85/1.21 ==> bigC( X, quotient( Z, X ), Y ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 Z := Z
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 subsumption: (160) {G2,W12,D4,L1,V3,M1} P(40,32) { bigC( X, quotient( Z, X
% 0.85/1.21 ), Y ) ==> product( product( X, Y ), Z ) }.
% 0.85/1.21 parent0: (1175) {G2,W12,D4,L1,V3,M1} { bigC( X, quotient( Z, X ), Y ) ==>
% 0.85/1.21 product( product( X, Y ), Z ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 Z := Z
% 0.85/1.21 end
% 0.85/1.21 permutation0:
% 0.85/1.21 0 ==> 0
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1177) {G1,W15,D5,L1,V4,M1} { product( product( X, T ), Y ) ==>
% 0.85/1.21 product( product( X, quotient( Y, Z ) ), product( T, Z ) ) }.
% 0.85/1.21 parent0[0]: (21) {G1,W15,D5,L1,V4,M1} P(3,4) { product( product( Z,
% 0.85/1.21 quotient( X, Y ) ), product( T, Y ) ) ==> product( product( Z, T ), X )
% 0.85/1.21 }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := Y
% 0.85/1.21 Y := Z
% 0.85/1.21 Z := X
% 0.85/1.21 T := T
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1181) {G1,W13,D5,L1,V3,M1} { product( product( X, Y ), Z ) ==>
% 0.85/1.21 product( product( X, quotient( Z, Y ) ), Y ) }.
% 0.85/1.21 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { product( X, X ) ==> X }.
% 0.85/1.21 parent1[0; 12]: (1177) {G1,W15,D5,L1,V4,M1} { product( product( X, T ), Y
% 0.85/1.21 ) ==> product( product( X, quotient( Y, Z ) ), product( T, Z ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := Y
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Z
% 0.85/1.21 Z := Y
% 0.85/1.21 T := Y
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1185) {G1,W13,D5,L1,V3,M1} { product( product( X, quotient( Z, Y
% 0.85/1.21 ) ), Y ) ==> product( product( X, Y ), Z ) }.
% 0.85/1.21 parent0[0]: (1181) {G1,W13,D5,L1,V3,M1} { product( product( X, Y ), Z )
% 0.85/1.21 ==> product( product( X, quotient( Z, Y ) ), Y ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 Z := Z
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 subsumption: (165) {G2,W13,D5,L1,V3,M1} P(5,21) { product( product( Y,
% 0.85/1.21 quotient( Z, X ) ), X ) ==> product( product( Y, X ), Z ) }.
% 0.85/1.21 parent0: (1185) {G1,W13,D5,L1,V3,M1} { product( product( X, quotient( Z, Y
% 0.85/1.21 ) ), Y ) ==> product( product( X, Y ), Z ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := Y
% 0.85/1.21 Y := X
% 0.85/1.21 Z := Z
% 0.85/1.21 end
% 0.85/1.21 permutation0:
% 0.85/1.21 0 ==> 0
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1187) {G1,W13,D4,L1,V3,M1} { product( product( X, Z ), Y ) ==>
% 0.85/1.21 product( product( X, Y ), product( Z, Y ) ) }.
% 0.85/1.21 parent0[0]: (23) {G1,W13,D4,L1,V3,M1} P(5,4) { product( product( Y, X ),
% 0.85/1.21 product( Z, X ) ) ==> product( product( Y, Z ), X ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := Y
% 0.85/1.21 Y := X
% 0.85/1.21 Z := Z
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1195) {G2,W16,D5,L1,V3,M1} { product( product( product( X, Y ),
% 0.85/1.21 Z ), X ) ==> product( bigC( X, Y, X ), product( Z, X ) ) }.
% 0.85/1.21 parent0[0]: (43) {G1,W10,D4,L1,V2,M1} P(5,7) { product( product( X, Y ), X
% 0.85/1.21 ) ==> bigC( X, Y, X ) }.
% 0.85/1.21 parent1[0; 9]: (1187) {G1,W13,D4,L1,V3,M1} { product( product( X, Z ), Y )
% 0.85/1.21 ==> product( product( X, Y ), product( Z, Y ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := product( X, Y )
% 0.85/1.21 Y := X
% 0.85/1.21 Z := Z
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1198) {G3,W14,D5,L1,V3,M1} { product( product( product( X, Y ),
% 0.85/1.21 Z ), X ) ==> bigC( X, Z, product( Y, X ) ) }.
% 0.85/1.21 parent0[0]: (145) {G4,W15,D4,L1,V3,M1} P(68,93) { product( bigC( X, Y, X )
% 0.85/1.21 , product( Z, X ) ) ==> bigC( X, Z, product( Y, X ) ) }.
% 0.85/1.21 parent1[0; 8]: (1195) {G2,W16,D5,L1,V3,M1} { product( product( product( X
% 0.85/1.21 , Y ), Z ), X ) ==> product( bigC( X, Y, X ), product( Z, X ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 Z := Z
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 Z := Z
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 subsumption: (170) {G5,W14,D5,L1,V3,M1} P(43,23);d(145) { product( product
% 0.85/1.21 ( product( X, Y ), Z ), X ) ==> bigC( X, Z, product( Y, X ) ) }.
% 0.85/1.21 parent0: (1198) {G3,W14,D5,L1,V3,M1} { product( product( product( X, Y ),
% 0.85/1.21 Z ), X ) ==> bigC( X, Z, product( Y, X ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 Z := Z
% 0.85/1.21 end
% 0.85/1.21 permutation0:
% 0.85/1.21 0 ==> 0
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1201) {G0,W7,D4,L1,V2,M1} { X ==> quotient( product( X, Y ), Y )
% 0.85/1.21 }.
% 0.85/1.21 parent0[0]: (2) {G0,W7,D4,L1,V2,M1} I { quotient( product( Y, X ), X ) ==>
% 0.85/1.21 Y }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := Y
% 0.85/1.21 Y := X
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1204) {G1,W13,D5,L1,V3,M1} { product( X, quotient( Y, Z ) ) ==>
% 0.85/1.21 quotient( product( product( X, Z ), Y ), Z ) }.
% 0.85/1.21 parent0[0]: (165) {G2,W13,D5,L1,V3,M1} P(5,21) { product( product( Y,
% 0.85/1.21 quotient( Z, X ) ), X ) ==> product( product( Y, X ), Z ) }.
% 0.85/1.21 parent1[0; 7]: (1201) {G0,W7,D4,L1,V2,M1} { X ==> quotient( product( X, Y
% 0.85/1.21 ), Y ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := Z
% 0.85/1.21 Y := X
% 0.85/1.21 Z := Y
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := product( X, quotient( Y, Z ) )
% 0.85/1.21 Y := Z
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1205) {G1,W13,D5,L1,V3,M1} { quotient( product( product( X, Z ),
% 0.85/1.21 Y ), Z ) ==> product( X, quotient( Y, Z ) ) }.
% 0.85/1.21 parent0[0]: (1204) {G1,W13,D5,L1,V3,M1} { product( X, quotient( Y, Z ) )
% 0.85/1.21 ==> quotient( product( product( X, Z ), Y ), Z ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 Z := Z
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 subsumption: (204) {G3,W13,D5,L1,V3,M1} P(165,2) { quotient( product(
% 0.85/1.21 product( X, Z ), Y ), Z ) ==> product( X, quotient( Y, Z ) ) }.
% 0.85/1.21 parent0: (1205) {G1,W13,D5,L1,V3,M1} { quotient( product( product( X, Z )
% 0.85/1.21 , Y ), Z ) ==> product( X, quotient( Y, Z ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 Z := Z
% 0.85/1.21 end
% 0.85/1.21 permutation0:
% 0.85/1.21 0 ==> 0
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1207) {G3,W13,D5,L1,V3,M1} { product( X, quotient( Z, Y ) ) ==>
% 0.85/1.21 quotient( product( product( X, Y ), Z ), Y ) }.
% 0.85/1.21 parent0[0]: (204) {G3,W13,D5,L1,V3,M1} P(165,2) { quotient( product(
% 0.85/1.21 product( X, Z ), Y ), Z ) ==> product( X, quotient( Y, Z ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Z
% 0.85/1.21 Z := Y
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1209) {G2,W12,D4,L1,V2,M1} { product( X, quotient( X, Y ) ) ==>
% 0.85/1.21 quotient( bigC( X, Y, X ), Y ) }.
% 0.85/1.21 parent0[0]: (43) {G1,W10,D4,L1,V2,M1} P(5,7) { product( product( X, Y ), X
% 0.85/1.21 ) ==> bigC( X, Y, X ) }.
% 0.85/1.21 parent1[0; 7]: (1207) {G3,W13,D5,L1,V3,M1} { product( X, quotient( Z, Y )
% 0.85/1.21 ) ==> quotient( product( product( X, Y ), Z ), Y ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 Z := X
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1212) {G2,W12,D4,L1,V2,M1} { quotient( bigC( X, Y, X ), Y ) ==>
% 0.85/1.21 product( X, quotient( X, Y ) ) }.
% 0.85/1.21 parent0[0]: (1209) {G2,W12,D4,L1,V2,M1} { product( X, quotient( X, Y ) )
% 0.85/1.21 ==> quotient( bigC( X, Y, X ), Y ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 subsumption: (206) {G4,W12,D4,L1,V2,M1} P(43,204) { quotient( bigC( X, Y, X
% 0.85/1.21 ), Y ) ==> product( X, quotient( X, Y ) ) }.
% 0.85/1.21 parent0: (1212) {G2,W12,D4,L1,V2,M1} { quotient( bigC( X, Y, X ), Y ) ==>
% 0.85/1.21 product( X, quotient( X, Y ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21 permutation0:
% 0.85/1.21 0 ==> 0
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1215) {G3,W13,D5,L1,V3,M1} { product( X, quotient( Z, Y ) ) ==>
% 0.85/1.21 quotient( product( product( X, Y ), Z ), Y ) }.
% 0.85/1.21 parent0[0]: (204) {G3,W13,D5,L1,V3,M1} P(165,2) { quotient( product(
% 0.85/1.21 product( X, Z ), Y ), Z ) ==> product( X, quotient( Y, Z ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Z
% 0.85/1.21 Z := Y
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1219) {G1,W13,D4,L1,V3,M1} { product( quotient( X, Y ), quotient
% 0.85/1.21 ( Z, Y ) ) ==> quotient( product( X, Z ), Y ) }.
% 0.85/1.21 parent0[0]: (3) {G0,W7,D4,L1,V2,M1} I { product( quotient( Y, X ), X ) ==>
% 0.85/1.21 Y }.
% 0.85/1.21 parent1[0; 10]: (1215) {G3,W13,D5,L1,V3,M1} { product( X, quotient( Z, Y )
% 0.85/1.21 ) ==> quotient( product( product( X, Y ), Z ), Y ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := Y
% 0.85/1.21 Y := X
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := quotient( X, Y )
% 0.85/1.21 Y := Y
% 0.85/1.21 Z := Z
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 subsumption: (211) {G4,W13,D4,L1,V3,M1} P(3,204) { product( quotient( X, Y
% 0.85/1.21 ), quotient( Z, Y ) ) ==> quotient( product( X, Z ), Y ) }.
% 0.85/1.21 parent0: (1219) {G1,W13,D4,L1,V3,M1} { product( quotient( X, Y ), quotient
% 0.85/1.21 ( Z, Y ) ) ==> quotient( product( X, Z ), Y ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 Z := Z
% 0.85/1.21 end
% 0.85/1.21 permutation0:
% 0.85/1.21 0 ==> 0
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1223) {G4,W13,D4,L1,V3,M1} { quotient( product( X, Z ), Y ) ==>
% 0.85/1.21 product( quotient( X, Y ), quotient( Z, Y ) ) }.
% 0.85/1.21 parent0[0]: (211) {G4,W13,D4,L1,V3,M1} P(3,204) { product( quotient( X, Y )
% 0.85/1.21 , quotient( Z, Y ) ) ==> quotient( product( X, Z ), Y ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 Z := Z
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1226) {G5,W16,D6,L1,V3,M1} { quotient( product( X, bigC( Y,
% 0.85/1.21 quotient( Z, Y ), Y ) ), Z ) ==> product( quotient( X, Z ), Y ) }.
% 0.85/1.21 parent0[0]: (71) {G5,W10,D5,L1,V2,M1} P(3,69) { quotient( bigC( Y, quotient
% 0.85/1.21 ( X, Y ), Y ), X ) ==> Y }.
% 0.85/1.21 parent1[0; 15]: (1223) {G4,W13,D4,L1,V3,M1} { quotient( product( X, Z ), Y
% 0.85/1.21 ) ==> product( quotient( X, Y ), quotient( Z, Y ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := Z
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Z
% 0.85/1.21 Z := bigC( Y, quotient( Z, Y ), Y )
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1227) {G6,W13,D5,L1,V3,M1} { quotient( product( X, product( Y, Z
% 0.85/1.21 ) ), Z ) ==> product( quotient( X, Z ), Y ) }.
% 0.85/1.21 parent0[0]: (85) {G6,W10,D4,L1,V2,M1} P(71,3) { bigC( X, quotient( Y, X ),
% 0.85/1.21 X ) ==> product( X, Y ) }.
% 0.85/1.21 parent1[0; 4]: (1226) {G5,W16,D6,L1,V3,M1} { quotient( product( X, bigC( Y
% 0.85/1.21 , quotient( Z, Y ), Y ) ), Z ) ==> product( quotient( X, Z ), Y ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := Y
% 0.85/1.21 Y := Z
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 Z := Z
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 subsumption: (223) {G7,W13,D5,L1,V3,M1} P(71,211);d(85) { quotient( product
% 0.85/1.21 ( Z, product( X, Y ) ), Y ) ==> product( quotient( Z, Y ), X ) }.
% 0.85/1.21 parent0: (1227) {G6,W13,D5,L1,V3,M1} { quotient( product( X, product( Y, Z
% 0.85/1.21 ) ), Z ) ==> product( quotient( X, Z ), Y ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := Z
% 0.85/1.21 Y := X
% 0.85/1.21 Z := Y
% 0.85/1.21 end
% 0.85/1.21 permutation0:
% 0.85/1.21 0 ==> 0
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1230) {G7,W13,D5,L1,V3,M1} { product( quotient( X, Z ), Y ) ==>
% 0.85/1.21 quotient( product( X, product( Y, Z ) ), Z ) }.
% 0.85/1.21 parent0[0]: (223) {G7,W13,D5,L1,V3,M1} P(71,211);d(85) { quotient( product
% 0.85/1.21 ( Z, product( X, Y ) ), Y ) ==> product( quotient( Z, Y ), X ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := Y
% 0.85/1.21 Y := Z
% 0.85/1.21 Z := X
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1232) {G1,W17,D6,L1,V2,M1} { product( quotient( product( product
% 0.85/1.21 ( X, Y ), Y ), product( Y, X ) ), Y ) ==> quotient( Y, product( Y, X ) )
% 0.85/1.21 }.
% 0.85/1.21 parent0[0]: (6) {G0,W13,D5,L1,V2,M1} I { product( product( product( Y, X )
% 0.85/1.21 , X ), product( X, product( X, Y ) ) ) ==> X }.
% 0.85/1.21 parent1[0; 13]: (1230) {G7,W13,D5,L1,V3,M1} { product( quotient( X, Z ), Y
% 0.85/1.21 ) ==> quotient( product( X, product( Y, Z ) ), Z ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := Y
% 0.85/1.21 Y := X
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := product( product( X, Y ), Y )
% 0.85/1.21 Y := Y
% 0.85/1.21 Z := product( Y, X )
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1234) {G2,W13,D5,L1,V2,M1} { product( product( X, quotient( Y, X
% 0.85/1.21 ) ), Y ) ==> quotient( Y, product( Y, X ) ) }.
% 0.85/1.21 parent0[0]: (139) {G2,W15,D5,L1,V4,M1} P(3,19) { quotient( product( product
% 0.85/1.21 ( Z, T ), X ), product( T, Y ) ) ==> product( Z, quotient( X, Y ) ) }.
% 0.85/1.21 parent1[0; 2]: (1232) {G1,W17,D6,L1,V2,M1} { product( quotient( product(
% 0.85/1.21 product( X, Y ), Y ), product( Y, X ) ), Y ) ==> quotient( Y, product( Y
% 0.85/1.21 , X ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := Y
% 0.85/1.21 Y := X
% 0.85/1.21 Z := X
% 0.85/1.21 T := Y
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 subsumption: (233) {G8,W13,D5,L1,V2,M1} P(6,223);d(139) { product( product
% 0.85/1.21 ( X, quotient( Y, X ) ), Y ) ==> quotient( Y, product( Y, X ) ) }.
% 0.85/1.21 parent0: (1234) {G2,W13,D5,L1,V2,M1} { product( product( X, quotient( Y, X
% 0.85/1.21 ) ), Y ) ==> quotient( Y, product( Y, X ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21 permutation0:
% 0.85/1.21 0 ==> 0
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1237) {G7,W13,D5,L1,V3,M1} { product( quotient( X, Z ), Y ) ==>
% 0.85/1.21 quotient( product( X, product( Y, Z ) ), Z ) }.
% 0.85/1.21 parent0[0]: (223) {G7,W13,D5,L1,V3,M1} P(71,211);d(85) { quotient( product
% 0.85/1.21 ( Z, product( X, Y ) ), Y ) ==> product( quotient( Z, Y ), X ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := Y
% 0.85/1.21 Y := Z
% 0.85/1.21 Z := X
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1239) {G1,W13,D5,L1,V0,M1} { product( quotient( product( a, c )
% 0.85/1.21 , b ), c ) ==> quotient( product( a, b ), b ) }.
% 0.85/1.21 parent0[0]: (8) {G0,W11,D4,L1,V0,M1} I { product( product( a, c ), product
% 0.85/1.21 ( c, b ) ) ==> product( a, b ) }.
% 0.85/1.21 parent1[0; 9]: (1237) {G7,W13,D5,L1,V3,M1} { product( quotient( X, Z ), Y
% 0.85/1.21 ) ==> quotient( product( X, product( Y, Z ) ), Z ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := product( a, c )
% 0.85/1.21 Y := c
% 0.85/1.21 Z := b
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1241) {G1,W9,D5,L1,V0,M1} { product( quotient( product( a, c ),
% 0.85/1.21 b ), c ) ==> a }.
% 0.85/1.21 parent0[0]: (2) {G0,W7,D4,L1,V2,M1} I { quotient( product( Y, X ), X ) ==>
% 0.85/1.21 Y }.
% 0.85/1.21 parent1[0; 8]: (1239) {G1,W13,D5,L1,V0,M1} { product( quotient( product( a
% 0.85/1.21 , c ), b ), c ) ==> quotient( product( a, b ), b ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := b
% 0.85/1.21 Y := a
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 subsumption: (235) {G8,W9,D5,L1,V0,M1} P(8,223);d(2) { product( quotient(
% 0.85/1.21 product( a, c ), b ), c ) ==> a }.
% 0.85/1.21 parent0: (1241) {G1,W9,D5,L1,V0,M1} { product( quotient( product( a, c ),
% 0.85/1.21 b ), c ) ==> a }.
% 0.85/1.21 substitution0:
% 0.85/1.21 end
% 0.85/1.21 permutation0:
% 0.85/1.21 0 ==> 0
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1244) {G1,W15,D5,L1,V4,M1} { product( X, product( Z, T ) ) ==>
% 0.85/1.21 product( product( quotient( X, Y ), Z ), product( Y, T ) ) }.
% 0.85/1.21 parent0[0]: (20) {G1,W15,D5,L1,V4,M1} P(3,4) { product( product( quotient(
% 0.85/1.21 X, Y ), Z ), product( Y, T ) ) ==> product( X, product( Z, T ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 Z := Z
% 0.85/1.21 T := T
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1246) {G2,W13,D4,L1,V1,M1} { product( product( a, c ), product(
% 0.85/1.21 c, X ) ) ==> product( a, product( b, X ) ) }.
% 0.85/1.21 parent0[0]: (235) {G8,W9,D5,L1,V0,M1} P(8,223);d(2) { product( quotient(
% 0.85/1.21 product( a, c ), b ), c ) ==> a }.
% 0.85/1.21 parent1[0; 9]: (1244) {G1,W15,D5,L1,V4,M1} { product( X, product( Z, T ) )
% 0.85/1.21 ==> product( product( quotient( X, Y ), Z ), product( Y, T ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := product( a, c )
% 0.85/1.21 Y := b
% 0.85/1.21 Z := c
% 0.85/1.21 T := X
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 subsumption: (244) {G9,W13,D4,L1,V1,M1} P(235,20) { product( product( a, c
% 0.85/1.21 ), product( c, X ) ) ==> product( a, product( b, X ) ) }.
% 0.85/1.21 parent0: (1246) {G2,W13,D4,L1,V1,M1} { product( product( a, c ), product(
% 0.85/1.21 c, X ) ) ==> product( a, product( b, X ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 end
% 0.85/1.21 permutation0:
% 0.85/1.21 0 ==> 0
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1251) {G9,W13,D4,L1,V1,M1} { product( a, product( b, X ) ) ==>
% 0.85/1.21 product( product( a, c ), product( c, X ) ) }.
% 0.85/1.21 parent0[0]: (244) {G9,W13,D4,L1,V1,M1} P(235,20) { product( product( a, c )
% 0.85/1.21 , product( c, X ) ) ==> product( a, product( b, X ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1253) {G2,W11,D4,L1,V0,M1} { product( a, product( b, c ) ) ==>
% 0.85/1.21 product( product( a, c ), c ) }.
% 0.85/1.21 parent0[0]: (23) {G1,W13,D4,L1,V3,M1} P(5,4) { product( product( Y, X ),
% 0.85/1.21 product( Z, X ) ) ==> product( product( Y, Z ), X ) }.
% 0.85/1.21 parent1[0; 6]: (1251) {G9,W13,D4,L1,V1,M1} { product( a, product( b, X ) )
% 0.85/1.21 ==> product( product( a, c ), product( c, X ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := c
% 0.85/1.21 Y := a
% 0.85/1.21 Z := c
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := c
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 subsumption: (299) {G10,W11,D4,L1,V0,M1} P(244,23) { product( a, product( b
% 0.85/1.21 , c ) ) ==> product( product( a, c ), c ) }.
% 0.85/1.21 parent0: (1253) {G2,W11,D4,L1,V0,M1} { product( a, product( b, c ) ) ==>
% 0.85/1.21 product( product( a, c ), c ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 end
% 0.85/1.21 permutation0:
% 0.85/1.21 0 ==> 0
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1255) {G9,W13,D4,L1,V1,M1} { product( a, product( b, X ) ) ==>
% 0.85/1.21 product( product( a, c ), product( c, X ) ) }.
% 0.85/1.21 parent0[0]: (244) {G9,W13,D4,L1,V1,M1} P(235,20) { product( product( a, c )
% 0.85/1.21 , product( c, X ) ) ==> product( a, product( b, X ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1258) {G1,W10,D4,L1,V0,M1} { product( a, product( b, a ) ) ==>
% 0.85/1.21 bigC( a, c, c ) }.
% 0.85/1.21 parent0[0]: (7) {G0,W12,D4,L1,V3,M1} I { product( product( Z, Y ), product
% 0.85/1.21 ( X, Z ) ) ==> bigC( Z, Y, X ) }.
% 0.85/1.21 parent1[0; 6]: (1255) {G9,W13,D4,L1,V1,M1} { product( a, product( b, X ) )
% 0.85/1.21 ==> product( product( a, c ), product( c, X ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := c
% 0.85/1.21 Y := c
% 0.85/1.21 Z := a
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := a
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1259) {G2,W9,D3,L1,V0,M1} { bigC( a, a, b ) ==> bigC( a, c, c )
% 0.85/1.21 }.
% 0.85/1.21 parent0[0]: (42) {G1,W10,D4,L1,V2,M1} P(5,7) { product( X, product( Y, X )
% 0.85/1.21 ) ==> bigC( X, X, Y ) }.
% 0.85/1.21 parent1[0; 1]: (1258) {G1,W10,D4,L1,V0,M1} { product( a, product( b, a ) )
% 0.85/1.21 ==> bigC( a, c, c ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := a
% 0.85/1.21 Y := b
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1260) {G2,W9,D3,L1,V0,M1} { bigC( a, c, c ) ==> bigC( a, a, b )
% 0.85/1.21 }.
% 0.85/1.21 parent0[0]: (1259) {G2,W9,D3,L1,V0,M1} { bigC( a, a, b ) ==> bigC( a, c, c
% 0.85/1.21 ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 subsumption: (301) {G10,W9,D3,L1,V0,M1} P(244,7);d(42) { bigC( a, c, c )
% 0.85/1.21 ==> bigC( a, a, b ) }.
% 0.85/1.21 parent0: (1260) {G2,W9,D3,L1,V0,M1} { bigC( a, c, c ) ==> bigC( a, a, b )
% 0.85/1.21 }.
% 0.85/1.21 substitution0:
% 0.85/1.21 end
% 0.85/1.21 permutation0:
% 0.85/1.21 0 ==> 0
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 *** allocated 22500 integers for termspace/termends
% 0.85/1.21 eqswap: (1262) {G8,W11,D5,L1,V2,M1} { X ==> difference( product( X,
% 0.85/1.21 quotient( Y, X ) ), product( X, Y ) ) }.
% 0.85/1.21 parent0[0]: (90) {G8,W11,D5,L1,V2,M1} P(87,12) { difference( product( X,
% 0.85/1.21 quotient( Y, X ) ), product( X, Y ) ) ==> X }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1264) {G9,W15,D6,L1,V0,M1} { a ==> difference( product( a,
% 0.85/1.21 quotient( product( b, c ), a ) ), product( product( a, c ), c ) ) }.
% 0.85/1.21 parent0[0]: (299) {G10,W11,D4,L1,V0,M1} P(244,23) { product( a, product( b
% 0.85/1.21 , c ) ) ==> product( product( a, c ), c ) }.
% 0.85/1.21 parent1[0; 10]: (1262) {G8,W11,D5,L1,V2,M1} { X ==> difference( product( X
% 0.85/1.21 , quotient( Y, X ) ), product( X, Y ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := a
% 0.85/1.21 Y := product( b, c )
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1265) {G3,W11,D6,L1,V0,M1} { a ==> product( c, difference(
% 0.85/1.21 quotient( product( b, c ), a ), c ) ) }.
% 0.85/1.21 parent0[0]: (82) {G2,W15,D5,L1,V4,M1} P(1,16) { difference( product( Z, X )
% 0.85/1.21 , product( product( Z, T ), Y ) ) ==> product( T, difference( X, Y ) )
% 0.85/1.21 }.
% 0.85/1.21 parent1[0; 2]: (1264) {G9,W15,D6,L1,V0,M1} { a ==> difference( product( a
% 0.85/1.21 , quotient( product( b, c ), a ) ), product( product( a, c ), c ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := quotient( product( b, c ), a )
% 0.85/1.21 Y := c
% 0.85/1.21 Z := a
% 0.85/1.21 T := c
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1266) {G3,W11,D6,L1,V0,M1} { product( c, difference( quotient(
% 0.85/1.21 product( b, c ), a ), c ) ) ==> a }.
% 0.85/1.21 parent0[0]: (1265) {G3,W11,D6,L1,V0,M1} { a ==> product( c, difference(
% 0.85/1.21 quotient( product( b, c ), a ), c ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 subsumption: (307) {G11,W11,D6,L1,V0,M1} P(299,90);d(82) { product( c,
% 0.85/1.21 difference( quotient( product( b, c ), a ), c ) ) ==> a }.
% 0.85/1.21 parent0: (1266) {G3,W11,D6,L1,V0,M1} { product( c, difference( quotient(
% 0.85/1.21 product( b, c ), a ), c ) ) ==> a }.
% 0.85/1.21 substitution0:
% 0.85/1.21 end
% 0.85/1.21 permutation0:
% 0.85/1.21 0 ==> 0
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1268) {G1,W15,D5,L1,V4,M1} { product( product( X, Z ), T ) ==>
% 0.85/1.21 product( product( X, Y ), product( Z, difference( Y, T ) ) ) }.
% 0.85/1.21 parent0[0]: (18) {G1,W15,D5,L1,V4,M1} P(1,4) { product( product( Z, X ),
% 0.85/1.21 product( T, difference( X, Y ) ) ) ==> product( product( Z, T ), Y ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := Y
% 0.85/1.21 Y := T
% 0.85/1.21 Z := X
% 0.85/1.21 T := Z
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1272) {G2,W15,D6,L1,V1,M1} { product( product( X, c ), c ) ==>
% 0.85/1.21 product( product( X, quotient( product( b, c ), a ) ), a ) }.
% 0.85/1.21 parent0[0]: (307) {G11,W11,D6,L1,V0,M1} P(299,90);d(82) { product( c,
% 0.85/1.21 difference( quotient( product( b, c ), a ), c ) ) ==> a }.
% 0.85/1.21 parent1[0; 14]: (1268) {G1,W15,D5,L1,V4,M1} { product( product( X, Z ), T
% 0.85/1.21 ) ==> product( product( X, Y ), product( Z, difference( Y, T ) ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := X
% 0.85/1.21 Y := quotient( product( b, c ), a )
% 0.85/1.21 Z := c
% 0.85/1.21 T := c
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1273) {G3,W13,D4,L1,V1,M1} { product( product( X, c ), c ) ==>
% 0.85/1.21 product( product( X, a ), product( b, c ) ) }.
% 0.85/1.21 parent0[0]: (165) {G2,W13,D5,L1,V3,M1} P(5,21) { product( product( Y,
% 0.85/1.21 quotient( Z, X ) ), X ) ==> product( product( Y, X ), Z ) }.
% 0.85/1.21 parent1[0; 6]: (1272) {G2,W15,D6,L1,V1,M1} { product( product( X, c ), c )
% 0.85/1.21 ==> product( product( X, quotient( product( b, c ), a ) ), a ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := a
% 0.85/1.21 Y := X
% 0.85/1.21 Z := product( b, c )
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := X
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1274) {G3,W13,D4,L1,V1,M1} { product( product( X, a ), product( b
% 0.85/1.21 , c ) ) ==> product( product( X, c ), c ) }.
% 0.85/1.21 parent0[0]: (1273) {G3,W13,D4,L1,V1,M1} { product( product( X, c ), c )
% 0.85/1.21 ==> product( product( X, a ), product( b, c ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 subsumption: (316) {G12,W13,D4,L1,V1,M1} P(307,18);d(165) { product(
% 0.85/1.21 product( X, a ), product( b, c ) ) ==> product( product( X, c ), c ) }.
% 0.85/1.21 parent0: (1274) {G3,W13,D4,L1,V1,M1} { product( product( X, a ), product(
% 0.85/1.21 b, c ) ) ==> product( product( X, c ), c ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 end
% 0.85/1.21 permutation0:
% 0.85/1.21 0 ==> 0
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1275) {G12,W13,D4,L1,V1,M1} { product( product( X, c ), c ) ==>
% 0.85/1.21 product( product( X, a ), product( b, c ) ) }.
% 0.85/1.21 parent0[0]: (316) {G12,W13,D4,L1,V1,M1} P(307,18);d(165) { product( product
% 0.85/1.21 ( X, a ), product( b, c ) ) ==> product( product( X, c ), c ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1279) {G1,W10,D4,L1,V0,M1} { product( product( c, c ), c ) ==>
% 0.85/1.21 bigC( c, a, b ) }.
% 0.85/1.21 parent0[0]: (7) {G0,W12,D4,L1,V3,M1} I { product( product( Z, Y ), product
% 0.85/1.21 ( X, Z ) ) ==> bigC( Z, Y, X ) }.
% 0.85/1.21 parent1[0; 6]: (1275) {G12,W13,D4,L1,V1,M1} { product( product( X, c ), c
% 0.85/1.21 ) ==> product( product( X, a ), product( b, c ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := b
% 0.85/1.21 Y := a
% 0.85/1.21 Z := c
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := c
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1280) {G2,W9,D3,L1,V0,M1} { bigC( c, c, c ) ==> bigC( c, a, b )
% 0.85/1.21 }.
% 0.85/1.21 parent0[0]: (43) {G1,W10,D4,L1,V2,M1} P(5,7) { product( product( X, Y ), X
% 0.85/1.21 ) ==> bigC( X, Y, X ) }.
% 0.85/1.21 parent1[0; 1]: (1279) {G1,W10,D4,L1,V0,M1} { product( product( c, c ), c )
% 0.85/1.21 ==> bigC( c, a, b ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := c
% 0.85/1.21 Y := c
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1281) {G2,W6,D3,L1,V0,M1} { c ==> bigC( c, a, b ) }.
% 0.85/1.21 parent0[0]: (41) {G1,W6,D3,L1,V1,M1} P(7,5);d(5) { bigC( X, X, X ) ==> X
% 0.85/1.21 }.
% 0.85/1.21 parent1[0; 1]: (1280) {G2,W9,D3,L1,V0,M1} { bigC( c, c, c ) ==> bigC( c, a
% 0.85/1.21 , b ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := c
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1282) {G2,W6,D3,L1,V0,M1} { bigC( c, a, b ) ==> c }.
% 0.85/1.21 parent0[0]: (1281) {G2,W6,D3,L1,V0,M1} { c ==> bigC( c, a, b ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 subsumption: (337) {G13,W6,D3,L1,V0,M1} P(316,7);d(43);d(41) { bigC( c, a,
% 0.85/1.21 b ) ==> c }.
% 0.85/1.21 parent0: (1282) {G2,W6,D3,L1,V0,M1} { bigC( c, a, b ) ==> c }.
% 0.85/1.21 substitution0:
% 0.85/1.21 end
% 0.85/1.21 permutation0:
% 0.85/1.21 0 ==> 0
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1284) {G2,W12,D4,L1,V3,M1} { product( Z, X ) ==> difference(
% 0.85/1.21 product( X, Y ), bigC( X, Z, Y ) ) }.
% 0.85/1.21 parent0[0]: (80) {G2,W12,D4,L1,V3,M1} P(7,16) { difference( product( X, Z )
% 0.85/1.21 , bigC( X, Y, Z ) ) ==> product( Y, X ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Z
% 0.85/1.21 Z := Y
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1285) {G3,W9,D4,L1,V0,M1} { product( a, c ) ==> difference(
% 0.85/1.21 product( c, b ), c ) }.
% 0.85/1.21 parent0[0]: (337) {G13,W6,D3,L1,V0,M1} P(316,7);d(43);d(41) { bigC( c, a, b
% 0.85/1.21 ) ==> c }.
% 0.85/1.21 parent1[0; 8]: (1284) {G2,W12,D4,L1,V3,M1} { product( Z, X ) ==>
% 0.85/1.21 difference( product( X, Y ), bigC( X, Z, Y ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := c
% 0.85/1.21 Y := b
% 0.85/1.21 Z := a
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1286) {G3,W9,D4,L1,V0,M1} { difference( product( c, b ), c ) ==>
% 0.85/1.21 product( a, c ) }.
% 0.85/1.21 parent0[0]: (1285) {G3,W9,D4,L1,V0,M1} { product( a, c ) ==> difference(
% 0.85/1.21 product( c, b ), c ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 subsumption: (343) {G14,W9,D4,L1,V0,M1} P(337,80) { difference( product( c
% 0.85/1.21 , b ), c ) ==> product( a, c ) }.
% 0.85/1.21 parent0: (1286) {G3,W9,D4,L1,V0,M1} { difference( product( c, b ), c ) ==>
% 0.85/1.21 product( a, c ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 end
% 0.85/1.21 permutation0:
% 0.85/1.21 0 ==> 0
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1287) {G13,W6,D3,L1,V0,M1} { c ==> bigC( c, a, b ) }.
% 0.85/1.21 parent0[0]: (337) {G13,W6,D3,L1,V0,M1} P(316,7);d(43);d(41) { bigC( c, a, b
% 0.85/1.21 ) ==> c }.
% 0.85/1.21 substitution0:
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1288) {G2,W6,D3,L1,V0,M1} { c ==> bigC( c, b, a ) }.
% 0.85/1.21 parent0[0]: (32) {G1,W9,D3,L1,V3,M1} P(7,4);d(7) { bigC( X, Y, Z ) = bigC(
% 0.85/1.21 X, Z, Y ) }.
% 0.85/1.21 parent1[0; 2]: (1287) {G13,W6,D3,L1,V0,M1} { c ==> bigC( c, a, b ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := c
% 0.85/1.21 Y := a
% 0.85/1.21 Z := b
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1291) {G2,W6,D3,L1,V0,M1} { bigC( c, b, a ) ==> c }.
% 0.85/1.21 parent0[0]: (1288) {G2,W6,D3,L1,V0,M1} { c ==> bigC( c, b, a ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 subsumption: (345) {G14,W6,D3,L1,V0,M1} P(337,32) { bigC( c, b, a ) ==> c
% 0.85/1.21 }.
% 0.85/1.21 parent0: (1291) {G2,W6,D3,L1,V0,M1} { bigC( c, b, a ) ==> c }.
% 0.85/1.21 substitution0:
% 0.85/1.21 end
% 0.85/1.21 permutation0:
% 0.85/1.21 0 ==> 0
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1293) {G13,W11,D5,L1,V2,M1} { Y ==> quotient( product( X, Y ),
% 0.85/1.21 product( difference( Y, X ), Y ) ) }.
% 0.85/1.21 parent0[0]: (127) {G13,W11,D5,L1,V2,M1} P(126,11) { quotient( product( Y, X
% 0.85/1.21 ), product( difference( X, Y ), X ) ) ==> X }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := Y
% 0.85/1.21 Y := X
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1296) {G14,W17,D5,L1,V0,M1} { product( c, b ) ==> quotient(
% 0.85/1.21 product( c, product( c, b ) ), product( product( a, c ), product( c, b )
% 0.85/1.21 ) ) }.
% 0.85/1.21 parent0[0]: (343) {G14,W9,D4,L1,V0,M1} P(337,80) { difference( product( c,
% 0.85/1.21 b ), c ) ==> product( a, c ) }.
% 0.85/1.21 parent1[0; 11]: (1293) {G13,W11,D5,L1,V2,M1} { Y ==> quotient( product( X
% 0.85/1.21 , Y ), product( difference( Y, X ), Y ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := c
% 0.85/1.21 Y := product( c, b )
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1297) {G1,W13,D5,L1,V0,M1} { product( c, b ) ==> quotient(
% 0.85/1.21 product( c, product( c, b ) ), product( a, b ) ) }.
% 0.85/1.21 parent0[0]: (8) {G0,W11,D4,L1,V0,M1} I { product( product( a, c ), product
% 0.85/1.21 ( c, b ) ) ==> product( a, b ) }.
% 0.85/1.21 parent1[0; 10]: (1296) {G14,W17,D5,L1,V0,M1} { product( c, b ) ==>
% 0.85/1.21 quotient( product( c, product( c, b ) ), product( product( a, c ),
% 0.85/1.21 product( c, b ) ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1298) {G2,W9,D4,L1,V0,M1} { product( c, b ) ==> product(
% 0.85/1.21 quotient( c, a ), c ) }.
% 0.85/1.21 parent0[0]: (138) {G2,W15,D5,L1,V4,M1} P(3,19) { quotient( product( X,
% 0.85/1.21 product( Z, T ) ), product( Y, T ) ) ==> product( quotient( X, Y ), Z )
% 0.85/1.21 }.
% 0.85/1.21 parent1[0; 4]: (1297) {G1,W13,D5,L1,V0,M1} { product( c, b ) ==> quotient
% 0.85/1.21 ( product( c, product( c, b ) ), product( a, b ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := c
% 0.85/1.21 Y := a
% 0.85/1.21 Z := c
% 0.85/1.21 T := b
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1299) {G2,W9,D4,L1,V0,M1} { product( quotient( c, a ), c ) ==>
% 0.85/1.21 product( c, b ) }.
% 0.85/1.21 parent0[0]: (1298) {G2,W9,D4,L1,V0,M1} { product( c, b ) ==> product(
% 0.85/1.21 quotient( c, a ), c ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 subsumption: (348) {G15,W9,D4,L1,V0,M1} P(343,127);d(8);d(138) { product(
% 0.85/1.21 quotient( c, a ), c ) ==> product( c, b ) }.
% 0.85/1.21 parent0: (1299) {G2,W9,D4,L1,V0,M1} { product( quotient( c, a ), c ) ==>
% 0.85/1.21 product( c, b ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 end
% 0.85/1.21 permutation0:
% 0.85/1.21 0 ==> 0
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1301) {G1,W13,D4,L1,V3,M1} { product( product( X, Z ), Y ) ==>
% 0.85/1.21 product( product( X, Y ), product( Z, Y ) ) }.
% 0.85/1.21 parent0[0]: (23) {G1,W13,D4,L1,V3,M1} P(5,4) { product( product( Y, X ),
% 0.85/1.21 product( Z, X ) ) ==> product( product( Y, Z ), X ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := Y
% 0.85/1.21 Y := X
% 0.85/1.21 Z := Z
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1304) {G2,W15,D5,L1,V1,M1} { product( product( X, quotient( c, a
% 0.85/1.21 ) ), c ) ==> product( product( X, c ), product( c, b ) ) }.
% 0.85/1.21 parent0[0]: (348) {G15,W9,D4,L1,V0,M1} P(343,127);d(8);d(138) { product(
% 0.85/1.21 quotient( c, a ), c ) ==> product( c, b ) }.
% 0.85/1.21 parent1[0; 12]: (1301) {G1,W13,D4,L1,V3,M1} { product( product( X, Z ), Y
% 0.85/1.21 ) ==> product( product( X, Y ), product( Z, Y ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := X
% 0.85/1.21 Y := c
% 0.85/1.21 Z := quotient( c, a )
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1307) {G2,W15,D5,L1,V1,M1} { product( product( X, c ), product( c
% 0.85/1.21 , b ) ) ==> product( product( X, quotient( c, a ) ), c ) }.
% 0.85/1.21 parent0[0]: (1304) {G2,W15,D5,L1,V1,M1} { product( product( X, quotient( c
% 0.85/1.21 , a ) ), c ) ==> product( product( X, c ), product( c, b ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 subsumption: (353) {G16,W15,D5,L1,V1,M1} P(348,23) { product( product( X, c
% 0.85/1.21 ), product( c, b ) ) ==> product( product( X, quotient( c, a ) ), c )
% 0.85/1.21 }.
% 0.85/1.21 parent0: (1307) {G2,W15,D5,L1,V1,M1} { product( product( X, c ), product(
% 0.85/1.21 c, b ) ) ==> product( product( X, quotient( c, a ) ), c ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 end
% 0.85/1.21 permutation0:
% 0.85/1.21 0 ==> 0
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1310) {G3,W11,D4,L1,V0,M1} { product( product( c, a ), product(
% 0.85/1.21 a, b ) ) ==> product( a, c ) }.
% 0.85/1.21 parent0[0]: (345) {G14,W6,D3,L1,V0,M1} P(337,32) { bigC( c, b, a ) ==> c
% 0.85/1.21 }.
% 0.85/1.21 parent1[0; 3]: (49) {G2,W14,D5,L1,V0,M1} P(8,6);d(7);d(22);d(25) { product
% 0.85/1.21 ( product( bigC( c, b, a ), a ), product( a, b ) ) ==> product( a, c )
% 0.85/1.21 }.
% 0.85/1.21 substitution0:
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 subsumption: (390) {G15,W11,D4,L1,V0,M1} S(49);d(345) { product( product( c
% 0.85/1.21 , a ), product( a, b ) ) ==> product( a, c ) }.
% 0.85/1.21 parent0: (1310) {G3,W11,D4,L1,V0,M1} { product( product( c, a ), product(
% 0.85/1.21 a, b ) ) ==> product( a, c ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 end
% 0.85/1.21 permutation0:
% 0.85/1.21 0 ==> 0
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1312) {G1,W21,D6,L1,V4,M1} { product( Y, product( Z, T ) ) ==>
% 0.85/1.21 product( product( product( product( X, Y ), Y ), Z ), product( product( Y
% 0.85/1.21 , product( Y, X ) ), T ) ) }.
% 0.85/1.21 parent0[0]: (50) {G1,W21,D6,L1,V4,M1} P(6,4) { product( product( product(
% 0.85/1.21 product( X, Y ), Y ), Z ), product( product( Y, product( Y, X ) ), T ) )
% 0.85/1.21 ==> product( Y, product( Z, T ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 Z := Z
% 0.85/1.21 T := T
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1319) {G2,W25,D6,L1,V2,M1} { product( X, product( product( a, c
% 0.85/1.21 ), product( c, b ) ) ) ==> product( product( product( product( Y, X ), X
% 0.85/1.21 ), product( X, product( X, Y ) ) ), product( a, b ) ) }.
% 0.85/1.21 parent0[0]: (25) {G1,W19,D5,L1,V2,M1} P(8,4) { product( product( X, product
% 0.85/1.21 ( a, c ) ), product( Y, product( c, b ) ) ) ==> product( product( X, Y )
% 0.85/1.21 , product( a, b ) ) }.
% 0.85/1.21 parent1[0; 10]: (1312) {G1,W21,D6,L1,V4,M1} { product( Y, product( Z, T )
% 0.85/1.21 ) ==> product( product( product( product( X, Y ), Y ), Z ), product(
% 0.85/1.21 product( Y, product( Y, X ) ), T ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := product( product( Y, X ), X )
% 0.85/1.21 Y := product( X, product( X, Y ) )
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := Y
% 0.85/1.21 Y := X
% 0.85/1.21 Z := product( a, c )
% 0.85/1.21 T := product( c, b )
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1325) {G3,W25,D6,L1,V2,M1} { product( X, product( product( a,
% 0.85/1.21 quotient( c, a ) ), c ) ) ==> product( product( product( product( Y, X )
% 0.85/1.21 , X ), product( X, product( X, Y ) ) ), product( a, b ) ) }.
% 0.85/1.21 parent0[0]: (353) {G16,W15,D5,L1,V1,M1} P(348,23) { product( product( X, c
% 0.85/1.21 ), product( c, b ) ) ==> product( product( X, quotient( c, a ) ), c )
% 0.85/1.21 }.
% 0.85/1.21 parent1[0; 3]: (1319) {G2,W25,D6,L1,V2,M1} { product( X, product( product
% 0.85/1.21 ( a, c ), product( c, b ) ) ) ==> product( product( product( product( Y,
% 0.85/1.21 X ), X ), product( X, product( X, Y ) ) ), product( a, b ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := a
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1326) {G4,W23,D6,L1,V2,M1} { product( X, quotient( c, product( c
% 0.85/1.21 , a ) ) ) ==> product( product( product( product( Y, X ), X ), product( X
% 0.85/1.21 , product( X, Y ) ) ), product( a, b ) ) }.
% 0.85/1.21 parent0[0]: (233) {G8,W13,D5,L1,V2,M1} P(6,223);d(139) { product( product(
% 0.85/1.21 X, quotient( Y, X ) ), Y ) ==> quotient( Y, product( Y, X ) ) }.
% 0.85/1.21 parent1[0; 3]: (1325) {G3,W25,D6,L1,V2,M1} { product( X, product( product
% 0.85/1.21 ( a, quotient( c, a ) ), c ) ) ==> product( product( product( product( Y
% 0.85/1.21 , X ), X ), product( X, product( X, Y ) ) ), product( a, b ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := a
% 0.85/1.21 Y := c
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1327) {G1,W13,D5,L1,V1,M1} { product( X, quotient( c, product( c
% 0.85/1.21 , a ) ) ) ==> product( X, product( a, b ) ) }.
% 0.85/1.21 parent0[0]: (6) {G0,W13,D5,L1,V2,M1} I { product( product( product( Y, X )
% 0.85/1.21 , X ), product( X, product( X, Y ) ) ) ==> X }.
% 0.85/1.21 parent1[0; 9]: (1326) {G4,W23,D6,L1,V2,M1} { product( X, quotient( c,
% 0.85/1.21 product( c, a ) ) ) ==> product( product( product( product( Y, X ), X ),
% 0.85/1.21 product( X, product( X, Y ) ) ), product( a, b ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 subsumption: (428) {G17,W13,D5,L1,V1,M1} P(50,25);d(353);d(233);d(6) {
% 0.85/1.21 product( Y, quotient( c, product( c, a ) ) ) ==> product( Y, product( a,
% 0.85/1.21 b ) ) }.
% 0.85/1.21 parent0: (1327) {G1,W13,D5,L1,V1,M1} { product( X, quotient( c, product( c
% 0.85/1.21 , a ) ) ) ==> product( X, product( a, b ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := Y
% 0.85/1.21 end
% 0.85/1.21 permutation0:
% 0.85/1.21 0 ==> 0
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1329) {G1,W21,D6,L1,V4,M1} { product( product( X, T ), Z ) ==>
% 0.85/1.21 product( product( X, product( product( Y, Z ), Z ) ), product( T, product
% 0.85/1.21 ( Z, product( Z, Y ) ) ) ) }.
% 0.85/1.21 parent0[0]: (51) {G1,W21,D6,L1,V4,M1} P(6,4) { product( product( Z, product
% 0.85/1.21 ( product( X, Y ), Y ) ), product( T, product( Y, product( Y, X ) ) ) )
% 0.85/1.21 ==> product( product( Z, T ), Y ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := Y
% 0.85/1.21 Y := Z
% 0.85/1.21 Z := X
% 0.85/1.21 T := T
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1336) {G2,W25,D6,L1,V2,M1} { product( product( product( a, c ),
% 0.85/1.21 product( c, b ) ), X ) ==> product( product( a, b ), product( product(
% 0.85/1.21 product( Y, X ), X ), product( X, product( X, Y ) ) ) ) }.
% 0.85/1.21 parent0[0]: (24) {G1,W19,D5,L1,V2,M1} P(8,4) { product( product( product( a
% 0.85/1.21 , c ), X ), product( product( c, b ), Y ) ) ==> product( product( a, b )
% 0.85/1.21 , product( X, Y ) ) }.
% 0.85/1.21 parent1[0; 10]: (1329) {G1,W21,D6,L1,V4,M1} { product( product( X, T ), Z
% 0.85/1.21 ) ==> product( product( X, product( product( Y, Z ), Z ) ), product( T,
% 0.85/1.21 product( Z, product( Z, Y ) ) ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := product( product( Y, X ), X )
% 0.85/1.21 Y := product( X, product( X, Y ) )
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := product( a, c )
% 0.85/1.21 Y := Y
% 0.85/1.21 Z := X
% 0.85/1.21 T := product( c, b )
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1342) {G3,W25,D6,L1,V2,M1} { product( product( product( a,
% 0.85/1.21 quotient( c, a ) ), c ), X ) ==> product( product( a, b ), product(
% 0.85/1.21 product( product( Y, X ), X ), product( X, product( X, Y ) ) ) ) }.
% 0.85/1.21 parent0[0]: (353) {G16,W15,D5,L1,V1,M1} P(348,23) { product( product( X, c
% 0.85/1.21 ), product( c, b ) ) ==> product( product( X, quotient( c, a ) ), c )
% 0.85/1.21 }.
% 0.85/1.21 parent1[0; 2]: (1336) {G2,W25,D6,L1,V2,M1} { product( product( product( a
% 0.85/1.21 , c ), product( c, b ) ), X ) ==> product( product( a, b ), product(
% 0.85/1.21 product( product( Y, X ), X ), product( X, product( X, Y ) ) ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := a
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1343) {G4,W23,D6,L1,V2,M1} { product( quotient( c, product( c, a
% 0.85/1.21 ) ), X ) ==> product( product( a, b ), product( product( product( Y, X )
% 0.85/1.21 , X ), product( X, product( X, Y ) ) ) ) }.
% 0.85/1.21 parent0[0]: (233) {G8,W13,D5,L1,V2,M1} P(6,223);d(139) { product( product(
% 0.85/1.21 X, quotient( Y, X ) ), Y ) ==> quotient( Y, product( Y, X ) ) }.
% 0.85/1.21 parent1[0; 2]: (1342) {G3,W25,D6,L1,V2,M1} { product( product( product( a
% 0.85/1.21 , quotient( c, a ) ), c ), X ) ==> product( product( a, b ), product(
% 0.85/1.21 product( product( Y, X ), X ), product( X, product( X, Y ) ) ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := a
% 0.85/1.21 Y := c
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1344) {G1,W13,D5,L1,V1,M1} { product( quotient( c, product( c, a
% 0.85/1.21 ) ), X ) ==> product( product( a, b ), X ) }.
% 0.85/1.21 parent0[0]: (6) {G0,W13,D5,L1,V2,M1} I { product( product( product( Y, X )
% 0.85/1.21 , X ), product( X, product( X, Y ) ) ) ==> X }.
% 0.85/1.21 parent1[0; 12]: (1343) {G4,W23,D6,L1,V2,M1} { product( quotient( c,
% 0.85/1.21 product( c, a ) ), X ) ==> product( product( a, b ), product( product(
% 0.85/1.21 product( Y, X ), X ), product( X, product( X, Y ) ) ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 subsumption: (464) {G17,W13,D5,L1,V1,M1} P(51,24);d(353);d(233);d(6) {
% 0.85/1.21 product( quotient( c, product( c, a ) ), Y ) ==> product( product( a, b )
% 0.85/1.21 , Y ) }.
% 0.85/1.21 parent0: (1344) {G1,W13,D5,L1,V1,M1} { product( quotient( c, product( c, a
% 0.85/1.21 ) ), X ) ==> product( product( a, b ), X ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := Y
% 0.85/1.21 end
% 0.85/1.21 permutation0:
% 0.85/1.21 0 ==> 0
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1347) {G1,W23,D6,L1,V3,M1} { product( Y, Z ) ==> product( product
% 0.85/1.21 ( product( X, Y ), product( product( Y, Z ), Z ) ), product( product( Y,
% 0.85/1.21 Z ), product( product( Y, Z ), X ) ) ) }.
% 0.85/1.21 parent0[0]: (52) {G1,W23,D6,L1,V3,M1} P(4,6) { product( product( product( X
% 0.85/1.21 , Y ), product( product( Y, Z ), Z ) ), product( product( Y, Z ), product
% 0.85/1.21 ( product( Y, Z ), X ) ) ) ==> product( Y, Z ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 Z := Z
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1359) {G2,W39,D7,L1,V1,M1} { product( product( a, c ), product(
% 0.85/1.21 c, b ) ) ==> product( product( product( X, product( product( a, c ),
% 0.85/1.21 product( c, b ) ) ), product( a, b ) ), product( product( product( a, c )
% 0.85/1.21 , product( c, b ) ), product( product( product( a, c ), product( c, b ) )
% 0.85/1.21 , X ) ) ) }.
% 0.85/1.21 parent0[0]: (25) {G1,W19,D5,L1,V2,M1} P(8,4) { product( product( X, product
% 0.85/1.21 ( a, c ) ), product( Y, product( c, b ) ) ) ==> product( product( X, Y )
% 0.85/1.21 , product( a, b ) ) }.
% 0.85/1.21 parent1[0; 9]: (1347) {G1,W23,D6,L1,V3,M1} { product( Y, Z ) ==> product(
% 0.85/1.21 product( product( X, Y ), product( product( Y, Z ), Z ) ), product(
% 0.85/1.21 product( Y, Z ), product( product( Y, Z ), X ) ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := product( product( a, c ), product( c, b ) )
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := X
% 0.85/1.21 Y := product( a, c )
% 0.85/1.21 Z := product( c, b )
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1373) {G3,W39,D8,L1,V1,M1} { product( product( a, c ), product(
% 0.85/1.21 c, b ) ) ==> product( product( product( X, product( product( a, c ),
% 0.85/1.21 product( c, b ) ) ), product( a, b ) ), product( product( product( a, c )
% 0.85/1.21 , product( c, b ) ), product( product( product( a, quotient( c, a ) ), c
% 0.85/1.21 ), X ) ) ) }.
% 0.85/1.21 parent0[0]: (353) {G16,W15,D5,L1,V1,M1} P(348,23) { product( product( X, c
% 0.85/1.21 ), product( c, b ) ) ==> product( product( X, quotient( c, a ) ), c )
% 0.85/1.21 }.
% 0.85/1.21 parent1[0; 31]: (1359) {G2,W39,D7,L1,V1,M1} { product( product( a, c ),
% 0.85/1.21 product( c, b ) ) ==> product( product( product( X, product( product( a,
% 0.85/1.21 c ), product( c, b ) ) ), product( a, b ) ), product( product( product( a
% 0.85/1.21 , c ), product( c, b ) ), product( product( product( a, c ), product( c,
% 0.85/1.21 b ) ), X ) ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := a
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := X
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1376) {G4,W39,D8,L1,V1,M1} { product( product( a, c ), product(
% 0.85/1.21 c, b ) ) ==> product( product( product( X, product( product( a, c ),
% 0.85/1.21 product( c, b ) ) ), product( a, b ) ), product( product( product( a,
% 0.85/1.21 quotient( c, a ) ), c ), product( product( product( a, quotient( c, a ) )
% 0.85/1.21 , c ), X ) ) ) }.
% 0.85/1.21 parent0[0]: (353) {G16,W15,D5,L1,V1,M1} P(348,23) { product( product( X, c
% 0.85/1.21 ), product( c, b ) ) ==> product( product( X, quotient( c, a ) ), c )
% 0.85/1.21 }.
% 0.85/1.21 parent1[0; 23]: (1373) {G3,W39,D8,L1,V1,M1} { product( product( a, c ),
% 0.85/1.21 product( c, b ) ) ==> product( product( product( X, product( product( a,
% 0.85/1.21 c ), product( c, b ) ) ), product( a, b ) ), product( product( product( a
% 0.85/1.21 , c ), product( c, b ) ), product( product( product( a, quotient( c, a )
% 0.85/1.21 ), c ), X ) ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := a
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := X
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1378) {G5,W39,D8,L1,V1,M1} { product( product( a, c ), product(
% 0.85/1.21 c, b ) ) ==> product( product( product( X, product( product( a, quotient
% 0.85/1.21 ( c, a ) ), c ) ), product( a, b ) ), product( product( product( a,
% 0.85/1.21 quotient( c, a ) ), c ), product( product( product( a, quotient( c, a ) )
% 0.85/1.21 , c ), X ) ) ) }.
% 0.85/1.21 parent0[0]: (353) {G16,W15,D5,L1,V1,M1} P(348,23) { product( product( X, c
% 0.85/1.21 ), product( c, b ) ) ==> product( product( X, quotient( c, a ) ), c )
% 0.85/1.21 }.
% 0.85/1.21 parent1[0; 12]: (1376) {G4,W39,D8,L1,V1,M1} { product( product( a, c ),
% 0.85/1.21 product( c, b ) ) ==> product( product( product( X, product( product( a,
% 0.85/1.21 c ), product( c, b ) ) ), product( a, b ) ), product( product( product( a
% 0.85/1.21 , quotient( c, a ) ), c ), product( product( product( a, quotient( c, a )
% 0.85/1.21 ), c ), X ) ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := a
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := X
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1379) {G6,W39,D8,L1,V1,M1} { product( product( a, quotient( c, a
% 0.85/1.21 ) ), c ) ==> product( product( product( X, product( product( a, quotient
% 0.85/1.21 ( c, a ) ), c ) ), product( a, b ) ), product( product( product( a,
% 0.85/1.21 quotient( c, a ) ), c ), product( product( product( a, quotient( c, a ) )
% 0.85/1.21 , c ), X ) ) ) }.
% 0.85/1.21 parent0[0]: (353) {G16,W15,D5,L1,V1,M1} P(348,23) { product( product( X, c
% 0.85/1.21 ), product( c, b ) ) ==> product( product( X, quotient( c, a ) ), c )
% 0.85/1.21 }.
% 0.85/1.21 parent1[0; 1]: (1378) {G5,W39,D8,L1,V1,M1} { product( product( a, c ),
% 0.85/1.21 product( c, b ) ) ==> product( product( product( X, product( product( a,
% 0.85/1.21 quotient( c, a ) ), c ) ), product( a, b ) ), product( product( product(
% 0.85/1.21 a, quotient( c, a ) ), c ), product( product( product( a, quotient( c, a
% 0.85/1.21 ) ), c ), X ) ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := a
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := X
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1413) {G7,W37,D8,L1,V1,M1} { product( product( a, quotient( c, a
% 0.85/1.21 ) ), c ) ==> product( product( product( X, product( product( a, quotient
% 0.85/1.21 ( c, a ) ), c ) ), product( a, b ) ), product( product( product( a,
% 0.85/1.21 quotient( c, a ) ), c ), product( quotient( c, product( c, a ) ), X ) ) )
% 0.85/1.21 }.
% 0.85/1.21 parent0[0]: (233) {G8,W13,D5,L1,V2,M1} P(6,223);d(139) { product( product(
% 0.85/1.21 X, quotient( Y, X ) ), Y ) ==> quotient( Y, product( Y, X ) ) }.
% 0.85/1.21 parent1[0; 31]: (1379) {G6,W39,D8,L1,V1,M1} { product( product( a,
% 0.85/1.21 quotient( c, a ) ), c ) ==> product( product( product( X, product(
% 0.85/1.21 product( a, quotient( c, a ) ), c ) ), product( a, b ) ), product(
% 0.85/1.21 product( product( a, quotient( c, a ) ), c ), product( product( product(
% 0.85/1.21 a, quotient( c, a ) ), c ), X ) ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := a
% 0.85/1.21 Y := c
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := X
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1416) {G8,W35,D8,L1,V1,M1} { product( product( a, quotient( c, a
% 0.85/1.21 ) ), c ) ==> product( product( product( X, product( product( a, quotient
% 0.85/1.21 ( c, a ) ), c ) ), product( a, b ) ), product( quotient( c, product( c, a
% 0.85/1.21 ) ), product( quotient( c, product( c, a ) ), X ) ) ) }.
% 0.85/1.21 parent0[0]: (233) {G8,W13,D5,L1,V2,M1} P(6,223);d(139) { product( product(
% 0.85/1.21 X, quotient( Y, X ) ), Y ) ==> quotient( Y, product( Y, X ) ) }.
% 0.85/1.21 parent1[0; 23]: (1413) {G7,W37,D8,L1,V1,M1} { product( product( a,
% 0.85/1.21 quotient( c, a ) ), c ) ==> product( product( product( X, product(
% 0.85/1.21 product( a, quotient( c, a ) ), c ) ), product( a, b ) ), product(
% 0.85/1.21 product( product( a, quotient( c, a ) ), c ), product( quotient( c,
% 0.85/1.21 product( c, a ) ), X ) ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := a
% 0.85/1.21 Y := c
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := X
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1418) {G9,W33,D7,L1,V1,M1} { product( product( a, quotient( c, a
% 0.85/1.21 ) ), c ) ==> product( product( product( X, quotient( c, product( c, a )
% 0.85/1.21 ) ), product( a, b ) ), product( quotient( c, product( c, a ) ), product
% 0.85/1.21 ( quotient( c, product( c, a ) ), X ) ) ) }.
% 0.85/1.21 parent0[0]: (233) {G8,W13,D5,L1,V2,M1} P(6,223);d(139) { product( product(
% 0.85/1.21 X, quotient( Y, X ) ), Y ) ==> quotient( Y, product( Y, X ) ) }.
% 0.85/1.21 parent1[0; 12]: (1416) {G8,W35,D8,L1,V1,M1} { product( product( a,
% 0.85/1.21 quotient( c, a ) ), c ) ==> product( product( product( X, product(
% 0.85/1.21 product( a, quotient( c, a ) ), c ) ), product( a, b ) ), product(
% 0.85/1.21 quotient( c, product( c, a ) ), product( quotient( c, product( c, a ) ),
% 0.85/1.21 X ) ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := a
% 0.85/1.21 Y := c
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := X
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1419) {G9,W31,D7,L1,V1,M1} { quotient( c, product( c, a ) ) ==>
% 0.85/1.21 product( product( product( X, quotient( c, product( c, a ) ) ), product(
% 0.85/1.21 a, b ) ), product( quotient( c, product( c, a ) ), product( quotient( c,
% 0.85/1.21 product( c, a ) ), X ) ) ) }.
% 0.85/1.21 parent0[0]: (233) {G8,W13,D5,L1,V2,M1} P(6,223);d(139) { product( product(
% 0.85/1.21 X, quotient( Y, X ) ), Y ) ==> quotient( Y, product( Y, X ) ) }.
% 0.85/1.21 parent1[0; 1]: (1418) {G9,W33,D7,L1,V1,M1} { product( product( a, quotient
% 0.85/1.21 ( c, a ) ), c ) ==> product( product( product( X, quotient( c, product( c
% 0.85/1.21 , a ) ) ), product( a, b ) ), product( quotient( c, product( c, a ) ),
% 0.85/1.21 product( quotient( c, product( c, a ) ), X ) ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := a
% 0.85/1.21 Y := c
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := X
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1434) {G10,W29,D7,L1,V1,M1} { quotient( c, product( c, a ) ) ==>
% 0.85/1.21 product( product( product( X, product( a, b ) ), product( a, b ) ),
% 0.85/1.21 product( quotient( c, product( c, a ) ), product( quotient( c, product( c
% 0.85/1.21 , a ) ), X ) ) ) }.
% 0.85/1.21 parent0[0]: (428) {G17,W13,D5,L1,V1,M1} P(50,25);d(353);d(233);d(6) {
% 0.85/1.21 product( Y, quotient( c, product( c, a ) ) ) ==> product( Y, product( a,
% 0.85/1.21 b ) ) }.
% 0.85/1.21 parent1[0; 8]: (1419) {G9,W31,D7,L1,V1,M1} { quotient( c, product( c, a )
% 0.85/1.21 ) ==> product( product( product( X, quotient( c, product( c, a ) ) ),
% 0.85/1.21 product( a, b ) ), product( quotient( c, product( c, a ) ), product(
% 0.85/1.21 quotient( c, product( c, a ) ), X ) ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := Y
% 0.85/1.21 Y := X
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := X
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1436) {G11,W27,D6,L1,V1,M1} { quotient( c, product( c, a ) ) ==>
% 0.85/1.21 product( product( product( X, product( a, b ) ), product( a, b ) ),
% 0.85/1.21 product( quotient( c, product( c, a ) ), product( product( a, b ), X ) )
% 0.85/1.21 ) }.
% 0.85/1.21 parent0[0]: (464) {G17,W13,D5,L1,V1,M1} P(51,24);d(353);d(233);d(6) {
% 0.85/1.21 product( quotient( c, product( c, a ) ), Y ) ==> product( product( a, b )
% 0.85/1.21 , Y ) }.
% 0.85/1.21 parent1[0; 22]: (1434) {G10,W29,D7,L1,V1,M1} { quotient( c, product( c, a
% 0.85/1.21 ) ) ==> product( product( product( X, product( a, b ) ), product( a, b )
% 0.85/1.21 ), product( quotient( c, product( c, a ) ), product( quotient( c,
% 0.85/1.21 product( c, a ) ), X ) ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := Y
% 0.85/1.21 Y := X
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := X
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1438) {G12,W25,D6,L1,V1,M1} { quotient( c, product( c, a ) ) ==>
% 0.85/1.21 product( product( product( X, product( a, b ) ), product( a, b ) ),
% 0.85/1.21 product( product( a, b ), product( product( a, b ), X ) ) ) }.
% 0.85/1.21 parent0[0]: (464) {G17,W13,D5,L1,V1,M1} P(51,24);d(353);d(233);d(6) {
% 0.85/1.21 product( quotient( c, product( c, a ) ), Y ) ==> product( product( a, b )
% 0.85/1.21 , Y ) }.
% 0.85/1.21 parent1[0; 16]: (1436) {G11,W27,D6,L1,V1,M1} { quotient( c, product( c, a
% 0.85/1.21 ) ) ==> product( product( product( X, product( a, b ) ), product( a, b )
% 0.85/1.21 ), product( quotient( c, product( c, a ) ), product( product( a, b ), X
% 0.85/1.21 ) ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := Y
% 0.85/1.21 Y := product( product( a, b ), X )
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := X
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1439) {G1,W9,D4,L1,V0,M1} { quotient( c, product( c, a ) ) ==>
% 0.85/1.21 product( a, b ) }.
% 0.85/1.21 parent0[0]: (6) {G0,W13,D5,L1,V2,M1} I { product( product( product( Y, X )
% 0.85/1.21 , X ), product( X, product( X, Y ) ) ) ==> X }.
% 0.85/1.21 parent1[0; 6]: (1438) {G12,W25,D6,L1,V1,M1} { quotient( c, product( c, a )
% 0.85/1.21 ) ==> product( product( product( X, product( a, b ) ), product( a, b ) )
% 0.85/1.21 , product( product( a, b ), product( product( a, b ), X ) ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := product( a, b )
% 0.85/1.21 Y := X
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := X
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 subsumption: (466) {G18,W9,D4,L1,V0,M1} P(25,52);d(353);d(233);d(428);d(464
% 0.85/1.21 );d(464);d(6) { quotient( c, product( c, a ) ) ==> product( a, b ) }.
% 0.85/1.21 parent0: (1439) {G1,W9,D4,L1,V0,M1} { quotient( c, product( c, a ) ) ==>
% 0.85/1.21 product( a, b ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 end
% 0.85/1.21 permutation0:
% 0.85/1.21 0 ==> 0
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1442) {G2,W12,D4,L1,V3,M1} { product( product( X, Z ), Y ) ==>
% 0.85/1.21 bigC( X, quotient( Y, X ), Z ) }.
% 0.85/1.21 parent0[0]: (160) {G2,W12,D4,L1,V3,M1} P(40,32) { bigC( X, quotient( Z, X )
% 0.85/1.21 , Y ) ==> product( product( X, Y ), Z ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Z
% 0.85/1.21 Z := Y
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1444) {G3,W16,D5,L1,V1,M1} { product( product( product( c, a ),
% 0.85/1.21 X ), c ) ==> bigC( product( c, a ), product( a, b ), X ) }.
% 0.85/1.21 parent0[0]: (466) {G18,W9,D4,L1,V0,M1} P(25,52);d(353);d(233);d(428);d(464)
% 0.85/1.21 ;d(464);d(6) { quotient( c, product( c, a ) ) ==> product( a, b ) }.
% 0.85/1.21 parent1[0; 12]: (1442) {G2,W12,D4,L1,V3,M1} { product( product( X, Z ), Y
% 0.85/1.21 ) ==> bigC( X, quotient( Y, X ), Z ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := product( c, a )
% 0.85/1.21 Y := c
% 0.85/1.21 Z := X
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1445) {G4,W15,D4,L1,V1,M1} { bigC( c, X, product( a, c ) ) ==>
% 0.85/1.21 bigC( product( c, a ), product( a, b ), X ) }.
% 0.85/1.21 parent0[0]: (170) {G5,W14,D5,L1,V3,M1} P(43,23);d(145) { product( product(
% 0.85/1.21 product( X, Y ), Z ), X ) ==> bigC( X, Z, product( Y, X ) ) }.
% 0.85/1.21 parent1[0; 1]: (1444) {G3,W16,D5,L1,V1,M1} { product( product( product( c
% 0.85/1.21 , a ), X ), c ) ==> bigC( product( c, a ), product( a, b ), X ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := c
% 0.85/1.21 Y := a
% 0.85/1.21 Z := X
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := X
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1446) {G4,W15,D4,L1,V1,M1} { bigC( product( c, a ), product( a, b
% 0.85/1.21 ), X ) ==> bigC( c, X, product( a, c ) ) }.
% 0.85/1.21 parent0[0]: (1445) {G4,W15,D4,L1,V1,M1} { bigC( c, X, product( a, c ) )
% 0.85/1.21 ==> bigC( product( c, a ), product( a, b ), X ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 subsumption: (469) {G19,W15,D4,L1,V1,M1} P(466,160);d(170) { bigC( product
% 0.85/1.21 ( c, a ), product( a, b ), X ) ==> bigC( c, X, product( a, c ) ) }.
% 0.85/1.21 parent0: (1446) {G4,W15,D4,L1,V1,M1} { bigC( product( c, a ), product( a,
% 0.85/1.21 b ), X ) ==> bigC( c, X, product( a, c ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 end
% 0.85/1.21 permutation0:
% 0.85/1.21 0 ==> 0
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1448) {G6,W10,D4,L1,V2,M1} { product( X, Y ) ==> bigC( X,
% 0.85/1.21 quotient( Y, X ), X ) }.
% 0.85/1.21 parent0[0]: (85) {G6,W10,D4,L1,V2,M1} P(71,3) { bigC( X, quotient( Y, X ),
% 0.85/1.21 X ) ==> product( X, Y ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1451) {G7,W16,D4,L1,V0,M1} { product( product( c, a ), c ) ==>
% 0.85/1.21 bigC( product( c, a ), product( a, b ), product( c, a ) ) }.
% 0.85/1.21 parent0[0]: (466) {G18,W9,D4,L1,V0,M1} P(25,52);d(353);d(233);d(428);d(464)
% 0.85/1.21 ;d(464);d(6) { quotient( c, product( c, a ) ) ==> product( a, b ) }.
% 0.85/1.21 parent1[0; 10]: (1448) {G6,W10,D4,L1,V2,M1} { product( X, Y ) ==> bigC( X
% 0.85/1.21 , quotient( Y, X ), X ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := product( c, a )
% 0.85/1.21 Y := c
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1452) {G8,W14,D4,L1,V0,M1} { product( product( c, a ), c ) ==>
% 0.85/1.21 bigC( c, product( c, a ), product( a, c ) ) }.
% 0.85/1.21 parent0[0]: (469) {G19,W15,D4,L1,V1,M1} P(466,160);d(170) { bigC( product(
% 0.85/1.21 c, a ), product( a, b ), X ) ==> bigC( c, X, product( a, c ) ) }.
% 0.85/1.21 parent1[0; 6]: (1451) {G7,W16,D4,L1,V0,M1} { product( product( c, a ), c )
% 0.85/1.21 ==> bigC( product( c, a ), product( a, b ), product( c, a ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := product( c, a )
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1453) {G2,W13,D4,L1,V0,M1} { bigC( c, a, c ) ==> bigC( c,
% 0.85/1.21 product( c, a ), product( a, c ) ) }.
% 0.85/1.21 parent0[0]: (43) {G1,W10,D4,L1,V2,M1} P(5,7) { product( product( X, Y ), X
% 0.85/1.21 ) ==> bigC( X, Y, X ) }.
% 0.85/1.21 parent1[0; 1]: (1452) {G8,W14,D4,L1,V0,M1} { product( product( c, a ), c )
% 0.85/1.21 ==> bigC( c, product( c, a ), product( a, c ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := c
% 0.85/1.21 Y := a
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1454) {G2,W13,D4,L1,V0,M1} { bigC( c, product( c, a ), product( a
% 0.85/1.21 , c ) ) ==> bigC( c, a, c ) }.
% 0.85/1.21 parent0[0]: (1453) {G2,W13,D4,L1,V0,M1} { bigC( c, a, c ) ==> bigC( c,
% 0.85/1.21 product( c, a ), product( a, c ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 subsumption: (475) {G20,W13,D4,L1,V0,M1} P(466,85);d(469);d(43) { bigC( c,
% 0.85/1.21 product( c, a ), product( a, c ) ) ==> bigC( c, a, c ) }.
% 0.85/1.21 parent0: (1454) {G2,W13,D4,L1,V0,M1} { bigC( c, product( c, a ), product(
% 0.85/1.21 a, c ) ) ==> bigC( c, a, c ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 end
% 0.85/1.21 permutation0:
% 0.85/1.21 0 ==> 0
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1456) {G1,W10,D4,L1,V2,M1} { bigC( X, Y, X ) ==> product( product
% 0.85/1.21 ( X, Y ), X ) }.
% 0.85/1.21 parent0[0]: (43) {G1,W10,D4,L1,V2,M1} P(5,7) { product( product( X, Y ), X
% 0.85/1.21 ) ==> bigC( X, Y, X ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1461) {G2,W18,D4,L1,V0,M1} { bigC( product( c, a ), product( a,
% 0.85/1.21 b ), product( c, a ) ) ==> product( product( a, c ), product( c, a ) )
% 0.85/1.21 }.
% 0.85/1.21 parent0[0]: (390) {G15,W11,D4,L1,V0,M1} S(49);d(345) { product( product( c
% 0.85/1.21 , a ), product( a, b ) ) ==> product( a, c ) }.
% 0.85/1.21 parent1[0; 12]: (1456) {G1,W10,D4,L1,V2,M1} { bigC( X, Y, X ) ==> product
% 0.85/1.21 ( product( X, Y ), X ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := product( c, a )
% 0.85/1.21 Y := product( a, b )
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1462) {G1,W15,D4,L1,V0,M1} { bigC( product( c, a ), product( a,
% 0.85/1.21 b ), product( c, a ) ) ==> bigC( a, c, c ) }.
% 0.85/1.21 parent0[0]: (7) {G0,W12,D4,L1,V3,M1} I { product( product( Z, Y ), product
% 0.85/1.21 ( X, Z ) ) ==> bigC( Z, Y, X ) }.
% 0.85/1.21 parent1[0; 11]: (1461) {G2,W18,D4,L1,V0,M1} { bigC( product( c, a ),
% 0.85/1.21 product( a, b ), product( c, a ) ) ==> product( product( a, c ), product
% 0.85/1.21 ( c, a ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := c
% 0.85/1.21 Y := c
% 0.85/1.21 Z := a
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1463) {G2,W15,D4,L1,V0,M1} { bigC( product( c, a ), product( a,
% 0.85/1.21 b ), product( c, a ) ) ==> bigC( a, a, b ) }.
% 0.85/1.21 parent0[0]: (301) {G10,W9,D3,L1,V0,M1} P(244,7);d(42) { bigC( a, c, c ) ==>
% 0.85/1.21 bigC( a, a, b ) }.
% 0.85/1.21 parent1[0; 11]: (1462) {G1,W15,D4,L1,V0,M1} { bigC( product( c, a ),
% 0.85/1.21 product( a, b ), product( c, a ) ) ==> bigC( a, c, c ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1464) {G3,W13,D4,L1,V0,M1} { bigC( c, product( c, a ), product(
% 0.85/1.21 a, c ) ) ==> bigC( a, a, b ) }.
% 0.85/1.21 parent0[0]: (469) {G19,W15,D4,L1,V1,M1} P(466,160);d(170) { bigC( product(
% 0.85/1.21 c, a ), product( a, b ), X ) ==> bigC( c, X, product( a, c ) ) }.
% 0.85/1.21 parent1[0; 1]: (1463) {G2,W15,D4,L1,V0,M1} { bigC( product( c, a ),
% 0.85/1.21 product( a, b ), product( c, a ) ) ==> bigC( a, a, b ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := product( c, a )
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1465) {G4,W9,D3,L1,V0,M1} { bigC( c, a, c ) ==> bigC( a, a, b )
% 0.85/1.21 }.
% 0.85/1.21 parent0[0]: (475) {G20,W13,D4,L1,V0,M1} P(466,85);d(469);d(43) { bigC( c,
% 0.85/1.21 product( c, a ), product( a, c ) ) ==> bigC( c, a, c ) }.
% 0.85/1.21 parent1[0; 1]: (1464) {G3,W13,D4,L1,V0,M1} { bigC( c, product( c, a ),
% 0.85/1.21 product( a, c ) ) ==> bigC( a, a, b ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 subsumption: (497) {G21,W9,D3,L1,V0,M1} P(390,43);d(7);d(301);d(469);d(475)
% 0.85/1.21 { bigC( c, a, c ) ==> bigC( a, a, b ) }.
% 0.85/1.21 parent0: (1465) {G4,W9,D3,L1,V0,M1} { bigC( c, a, c ) ==> bigC( a, a, b )
% 0.85/1.21 }.
% 0.85/1.21 substitution0:
% 0.85/1.21 end
% 0.85/1.21 permutation0:
% 0.85/1.21 0 ==> 0
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1468) {G4,W12,D4,L1,V2,M1} { product( X, quotient( X, Y ) ) ==>
% 0.85/1.21 quotient( bigC( X, Y, X ), Y ) }.
% 0.85/1.21 parent0[0]: (206) {G4,W12,D4,L1,V2,M1} P(43,204) { quotient( bigC( X, Y, X
% 0.85/1.21 ), Y ) ==> product( X, quotient( X, Y ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := Y
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1470) {G5,W12,D4,L1,V0,M1} { product( c, quotient( c, a ) ) ==>
% 0.85/1.21 quotient( bigC( a, a, b ), a ) }.
% 0.85/1.21 parent0[0]: (497) {G21,W9,D3,L1,V0,M1} P(390,43);d(7);d(301);d(469);d(475)
% 0.85/1.21 { bigC( c, a, c ) ==> bigC( a, a, b ) }.
% 0.85/1.21 parent1[0; 7]: (1468) {G4,W12,D4,L1,V2,M1} { product( X, quotient( X, Y )
% 0.85/1.21 ) ==> quotient( bigC( X, Y, X ), Y ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := c
% 0.85/1.21 Y := a
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1471) {G4,W9,D4,L1,V0,M1} { product( c, quotient( c, a ) ) ==>
% 0.85/1.21 product( a, b ) }.
% 0.85/1.21 parent0[0]: (78) {G3,W10,D4,L1,V2,M1} P(32,76) { quotient( bigC( X, X, Y )
% 0.85/1.21 , X ) ==> product( X, Y ) }.
% 0.85/1.21 parent1[0; 6]: (1470) {G5,W12,D4,L1,V0,M1} { product( c, quotient( c, a )
% 0.85/1.21 ) ==> quotient( bigC( a, a, b ), a ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := a
% 0.85/1.21 Y := b
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 subsumption: (499) {G22,W9,D4,L1,V0,M1} P(497,206);d(78) { product( c,
% 0.85/1.21 quotient( c, a ) ) ==> product( a, b ) }.
% 0.85/1.21 parent0: (1471) {G4,W9,D4,L1,V0,M1} { product( c, quotient( c, a ) ) ==>
% 0.85/1.21 product( a, b ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 end
% 0.85/1.21 permutation0:
% 0.85/1.21 0 ==> 0
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1474) {G1,W15,D5,L1,V4,M1} { product( product( X, T ), Y ) ==>
% 0.85/1.21 product( product( X, quotient( Y, Z ) ), product( T, Z ) ) }.
% 0.85/1.21 parent0[0]: (21) {G1,W15,D5,L1,V4,M1} P(3,4) { product( product( Z,
% 0.85/1.21 quotient( X, Y ) ), product( T, Y ) ) ==> product( product( Z, T ), X )
% 0.85/1.21 }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := Y
% 0.85/1.21 Y := Z
% 0.85/1.21 Z := X
% 0.85/1.21 T := T
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1478) {G2,W13,D4,L1,V1,M1} { product( product( c, X ), c ) ==>
% 0.85/1.21 product( product( a, b ), product( X, a ) ) }.
% 0.85/1.21 parent0[0]: (499) {G22,W9,D4,L1,V0,M1} P(497,206);d(78) { product( c,
% 0.85/1.21 quotient( c, a ) ) ==> product( a, b ) }.
% 0.85/1.21 parent1[0; 7]: (1474) {G1,W15,D5,L1,V4,M1} { product( product( X, T ), Y )
% 0.85/1.21 ==> product( product( X, quotient( Y, Z ) ), product( T, Z ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := c
% 0.85/1.21 Y := c
% 0.85/1.21 Z := a
% 0.85/1.21 T := X
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1480) {G1,W10,D4,L1,V1,M1} { product( product( c, X ), c ) ==>
% 0.85/1.21 bigC( a, b, X ) }.
% 0.85/1.21 parent0[0]: (7) {G0,W12,D4,L1,V3,M1} I { product( product( Z, Y ), product
% 0.85/1.21 ( X, Z ) ) ==> bigC( Z, Y, X ) }.
% 0.85/1.21 parent1[0; 6]: (1478) {G2,W13,D4,L1,V1,M1} { product( product( c, X ), c )
% 0.85/1.21 ==> product( product( a, b ), product( X, a ) ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 Y := b
% 0.85/1.21 Z := a
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := X
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1481) {G2,W9,D3,L1,V1,M1} { bigC( c, X, c ) ==> bigC( a, b, X )
% 0.85/1.21 }.
% 0.85/1.21 parent0[0]: (43) {G1,W10,D4,L1,V2,M1} P(5,7) { product( product( X, Y ), X
% 0.85/1.21 ) ==> bigC( X, Y, X ) }.
% 0.85/1.21 parent1[0; 1]: (1480) {G1,W10,D4,L1,V1,M1} { product( product( c, X ), c )
% 0.85/1.21 ==> bigC( a, b, X ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := c
% 0.85/1.21 Y := X
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 X := X
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1482) {G2,W9,D3,L1,V1,M1} { bigC( a, b, X ) ==> bigC( c, X, c )
% 0.85/1.21 }.
% 0.85/1.21 parent0[0]: (1481) {G2,W9,D3,L1,V1,M1} { bigC( c, X, c ) ==> bigC( a, b, X
% 0.85/1.21 ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 subsumption: (548) {G23,W9,D3,L1,V1,M1} P(499,21);d(7);d(43) { bigC( a, b,
% 0.85/1.21 X ) = bigC( c, X, c ) }.
% 0.85/1.21 parent0: (1482) {G2,W9,D3,L1,V1,M1} { bigC( a, b, X ) ==> bigC( c, X, c )
% 0.85/1.21 }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 end
% 0.85/1.21 permutation0:
% 0.85/1.21 0 ==> 0
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1483) {G23,W9,D3,L1,V1,M1} { bigC( c, X, c ) = bigC( a, b, X )
% 0.85/1.21 }.
% 0.85/1.21 parent0[0]: (548) {G23,W9,D3,L1,V1,M1} P(499,21);d(7);d(43) { bigC( a, b, X
% 0.85/1.21 ) = bigC( c, X, c ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := X
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqswap: (1484) {G2,W9,D3,L1,V0,M1} { ! bigC( c, skol1, c ) ==> bigC( a, b
% 0.85/1.21 , skol1 ) }.
% 0.85/1.21 parent0[0]: (62) {G2,W9,D3,L1,V0,M1} P(32,9) { ! bigC( a, b, skol1 ) ==>
% 0.85/1.21 bigC( c, skol1, c ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 paramod: (1485) {G3,W9,D3,L1,V0,M1} { ! bigC( a, b, skol1 ) ==> bigC( a, b
% 0.85/1.21 , skol1 ) }.
% 0.85/1.21 parent0[0]: (1483) {G23,W9,D3,L1,V1,M1} { bigC( c, X, c ) = bigC( a, b, X
% 0.85/1.21 ) }.
% 0.85/1.21 parent1[0; 2]: (1484) {G2,W9,D3,L1,V0,M1} { ! bigC( c, skol1, c ) ==> bigC
% 0.85/1.21 ( a, b, skol1 ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 X := skol1
% 0.85/1.21 end
% 0.85/1.21 substitution1:
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 eqrefl: (1486) {G0,W0,D0,L0,V0,M0} { }.
% 0.85/1.21 parent0[0]: (1485) {G3,W9,D3,L1,V0,M1} { ! bigC( a, b, skol1 ) ==> bigC( a
% 0.85/1.21 , b, skol1 ) }.
% 0.85/1.21 substitution0:
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 subsumption: (632) {G24,W0,D0,L0,V0,M0} P(548,62);q { }.
% 0.85/1.21 parent0: (1486) {G0,W0,D0,L0,V0,M0} { }.
% 0.85/1.21 substitution0:
% 0.85/1.21 end
% 0.85/1.21 permutation0:
% 0.85/1.21 end
% 0.85/1.21
% 0.85/1.21 Proof check complete!
% 0.85/1.21
% 0.85/1.21 Memory use:
% 0.85/1.21
% 0.85/1.21 space for terms: 8512
% 0.85/1.21 space for clauses: 80362
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21 clauses generated: 11521
% 0.85/1.21 clauses kept: 633
% 0.85/1.21 clauses selected: 161
% 0.85/1.21 clauses deleted: 13
% 0.85/1.21 clauses inuse deleted: 0
% 0.85/1.21
% 0.85/1.21 subsentry: 8610
% 0.85/1.21 literals s-matched: 1623
% 0.85/1.21 literals matched: 1070
% 0.85/1.21 full subsumption: 0
% 0.85/1.21
% 0.85/1.21 checksum: 1877345625
% 0.85/1.21
% 0.85/1.21
% 0.85/1.21 Bliksem ended
%------------------------------------------------------------------------------