The rewrite relation of the following TRS is considered.
a(x1) | → | x1 | (1) |
a(b(x1)) | → | c(x1) | (2) |
a(c(c(x1))) | → | c(b(a(c(a(x1))))) | (3) |
{c(☐), b(☐), a(☐)}
We obtain the transformed TRSc(a(x1)) | → | c(x1) | (4) |
c(a(b(x1))) | → | c(c(x1)) | (5) |
c(a(c(c(x1)))) | → | c(c(b(a(c(a(x1)))))) | (6) |
b(a(x1)) | → | b(x1) | (7) |
b(a(b(x1))) | → | b(c(x1)) | (8) |
b(a(c(c(x1)))) | → | b(c(b(a(c(a(x1)))))) | (9) |
a(a(x1)) | → | a(x1) | (10) |
a(a(b(x1))) | → | a(c(x1)) | (11) |
a(a(c(c(x1)))) | → | a(c(b(a(c(a(x1)))))) | (12) |
As carrier we take the set {0,1,2}. Symbols are labeled by the interpretation of their arguments using the interpretations (modulo 3):
[c(x1)] | = | 3x1 + 0 |
[b(x1)] | = | 3x1 + 1 |
[a(x1)] | = | 3x1 + 2 |
a2(a2(x1)) | → | a2(x1) | (13) |
a2(a1(x1)) | → | a1(x1) | (14) |
a2(a0(x1)) | → | a0(x1) | (15) |
b2(a2(x1)) | → | b2(x1) | (16) |
b2(a1(x1)) | → | b1(x1) | (17) |
b2(a0(x1)) | → | b0(x1) | (18) |
c2(a2(x1)) | → | c2(x1) | (19) |
c2(a1(x1)) | → | c1(x1) | (20) |
c2(a0(x1)) | → | c0(x1) | (21) |
a2(a1(b2(x1))) | → | a0(c2(x1)) | (22) |
a2(a1(b1(x1))) | → | a0(c1(x1)) | (23) |
a2(a1(b0(x1))) | → | a0(c0(x1)) | (24) |
b2(a1(b2(x1))) | → | b0(c2(x1)) | (25) |
b2(a1(b1(x1))) | → | b0(c1(x1)) | (26) |
b2(a1(b0(x1))) | → | b0(c0(x1)) | (27) |
c2(a1(b2(x1))) | → | c0(c2(x1)) | (28) |
c2(a1(b1(x1))) | → | c0(c1(x1)) | (29) |
c2(a1(b0(x1))) | → | c0(c0(x1)) | (30) |
a2(a0(c0(c2(x1)))) | → | a0(c1(b2(a0(c2(a2(x1)))))) | (31) |
a2(a0(c0(c1(x1)))) | → | a0(c1(b2(a0(c2(a1(x1)))))) | (32) |
a2(a0(c0(c0(x1)))) | → | a0(c1(b2(a0(c2(a0(x1)))))) | (33) |
b2(a0(c0(c2(x1)))) | → | b0(c1(b2(a0(c2(a2(x1)))))) | (34) |
b2(a0(c0(c1(x1)))) | → | b0(c1(b2(a0(c2(a1(x1)))))) | (35) |
b2(a0(c0(c0(x1)))) | → | b0(c1(b2(a0(c2(a0(x1)))))) | (36) |
c2(a0(c0(c2(x1)))) | → | c0(c1(b2(a0(c2(a2(x1)))))) | (37) |
c2(a0(c0(c1(x1)))) | → | c0(c1(b2(a0(c2(a1(x1)))))) | (38) |
c2(a0(c0(c0(x1)))) | → | c0(c1(b2(a0(c2(a0(x1)))))) | (39) |
a2(a2(x1)) | → | a2(x1) | (13) |
a1(a2(x1)) | → | a1(x1) | (40) |
a0(a2(x1)) | → | a0(x1) | (41) |
a2(b2(x1)) | → | b2(x1) | (42) |
a1(b2(x1)) | → | b1(x1) | (43) |
a0(b2(x1)) | → | b0(x1) | (44) |
a2(c2(x1)) | → | c2(x1) | (45) |
a1(c2(x1)) | → | c1(x1) | (46) |
a0(c2(x1)) | → | c0(x1) | (47) |
b2(a1(a2(x1))) | → | c2(a0(x1)) | (48) |
b1(a1(a2(x1))) | → | c1(a0(x1)) | (49) |
b0(a1(a2(x1))) | → | c0(a0(x1)) | (50) |
b2(a1(b2(x1))) | → | c2(b0(x1)) | (51) |
b1(a1(b2(x1))) | → | c1(b0(x1)) | (52) |
b0(a1(b2(x1))) | → | c0(b0(x1)) | (53) |
b2(a1(c2(x1))) | → | c2(c0(x1)) | (54) |
b1(a1(c2(x1))) | → | c1(c0(x1)) | (55) |
b0(a1(c2(x1))) | → | c0(c0(x1)) | (56) |
c2(c0(a0(a2(x1)))) | → | a2(c2(a0(b2(c1(a0(x1)))))) | (57) |
c1(c0(a0(a2(x1)))) | → | a1(c2(a0(b2(c1(a0(x1)))))) | (58) |
c0(c0(a0(a2(x1)))) | → | a0(c2(a0(b2(c1(a0(x1)))))) | (59) |
c2(c0(a0(b2(x1)))) | → | a2(c2(a0(b2(c1(b0(x1)))))) | (60) |
c1(c0(a0(b2(x1)))) | → | a1(c2(a0(b2(c1(b0(x1)))))) | (61) |
c0(c0(a0(b2(x1)))) | → | a0(c2(a0(b2(c1(b0(x1)))))) | (62) |
c2(c0(a0(c2(x1)))) | → | a2(c2(a0(b2(c1(c0(x1)))))) | (63) |
c1(c0(a0(c2(x1)))) | → | a1(c2(a0(b2(c1(c0(x1)))))) | (64) |
c0(c0(a0(c2(x1)))) | → | a0(c2(a0(b2(c1(c0(x1)))))) | (65) |
c0#(c0(a0(c2(x1)))) | → | c0#(x1) | (66) |
c0#(c0(a0(c2(x1)))) | → | c1#(c0(x1)) | (67) |
c0#(c0(a0(c2(x1)))) | → | c2#(a0(b2(c1(c0(x1))))) | (68) |
c0#(c0(a0(c2(x1)))) | → | b2#(c1(c0(x1))) | (69) |
c0#(c0(a0(c2(x1)))) | → | a0#(c2(a0(b2(c1(c0(x1)))))) | (70) |
c0#(c0(a0(c2(x1)))) | → | a0#(b2(c1(c0(x1)))) | (71) |
c0#(c0(a0(b2(x1)))) | → | c1#(b0(x1)) | (72) |
c0#(c0(a0(b2(x1)))) | → | c2#(a0(b2(c1(b0(x1))))) | (73) |
c0#(c0(a0(b2(x1)))) | → | b0#(x1) | (74) |
c0#(c0(a0(b2(x1)))) | → | b2#(c1(b0(x1))) | (75) |
c0#(c0(a0(b2(x1)))) | → | a0#(c2(a0(b2(c1(b0(x1)))))) | (76) |
c0#(c0(a0(b2(x1)))) | → | a0#(b2(c1(b0(x1)))) | (77) |
c0#(c0(a0(a2(x1)))) | → | c1#(a0(x1)) | (78) |
c0#(c0(a0(a2(x1)))) | → | c2#(a0(b2(c1(a0(x1))))) | (79) |
c0#(c0(a0(a2(x1)))) | → | b2#(c1(a0(x1))) | (80) |
c0#(c0(a0(a2(x1)))) | → | a0#(x1) | (81) |
c0#(c0(a0(a2(x1)))) | → | a0#(c2(a0(b2(c1(a0(x1)))))) | (82) |
c0#(c0(a0(a2(x1)))) | → | a0#(b2(c1(a0(x1)))) | (83) |
c1#(c0(a0(c2(x1)))) | → | c0#(x1) | (84) |
c1#(c0(a0(c2(x1)))) | → | c1#(c0(x1)) | (85) |
c1#(c0(a0(c2(x1)))) | → | c2#(a0(b2(c1(c0(x1))))) | (86) |
c1#(c0(a0(c2(x1)))) | → | b2#(c1(c0(x1))) | (87) |
c1#(c0(a0(c2(x1)))) | → | a0#(b2(c1(c0(x1)))) | (88) |
c1#(c0(a0(c2(x1)))) | → | a1#(c2(a0(b2(c1(c0(x1)))))) | (89) |
c1#(c0(a0(b2(x1)))) | → | c1#(b0(x1)) | (90) |
c1#(c0(a0(b2(x1)))) | → | c2#(a0(b2(c1(b0(x1))))) | (91) |
c1#(c0(a0(b2(x1)))) | → | b0#(x1) | (92) |
c1#(c0(a0(b2(x1)))) | → | b2#(c1(b0(x1))) | (93) |
c1#(c0(a0(b2(x1)))) | → | a0#(b2(c1(b0(x1)))) | (94) |
c1#(c0(a0(b2(x1)))) | → | a1#(c2(a0(b2(c1(b0(x1)))))) | (95) |
c1#(c0(a0(a2(x1)))) | → | c1#(a0(x1)) | (96) |
c1#(c0(a0(a2(x1)))) | → | c2#(a0(b2(c1(a0(x1))))) | (97) |
c1#(c0(a0(a2(x1)))) | → | b2#(c1(a0(x1))) | (98) |
c1#(c0(a0(a2(x1)))) | → | a0#(x1) | (99) |
c1#(c0(a0(a2(x1)))) | → | a0#(b2(c1(a0(x1)))) | (100) |
c1#(c0(a0(a2(x1)))) | → | a1#(c2(a0(b2(c1(a0(x1)))))) | (101) |
c2#(c0(a0(c2(x1)))) | → | c0#(x1) | (102) |
c2#(c0(a0(c2(x1)))) | → | c1#(c0(x1)) | (103) |
c2#(c0(a0(c2(x1)))) | → | c2#(a0(b2(c1(c0(x1))))) | (104) |
c2#(c0(a0(c2(x1)))) | → | b2#(c1(c0(x1))) | (105) |
c2#(c0(a0(c2(x1)))) | → | a0#(b2(c1(c0(x1)))) | (106) |
c2#(c0(a0(c2(x1)))) | → | a2#(c2(a0(b2(c1(c0(x1)))))) | (107) |
c2#(c0(a0(b2(x1)))) | → | c1#(b0(x1)) | (108) |
c2#(c0(a0(b2(x1)))) | → | c2#(a0(b2(c1(b0(x1))))) | (109) |
c2#(c0(a0(b2(x1)))) | → | b0#(x1) | (110) |
c2#(c0(a0(b2(x1)))) | → | b2#(c1(b0(x1))) | (111) |
c2#(c0(a0(b2(x1)))) | → | a0#(b2(c1(b0(x1)))) | (112) |
c2#(c0(a0(b2(x1)))) | → | a2#(c2(a0(b2(c1(b0(x1)))))) | (113) |
c2#(c0(a0(a2(x1)))) | → | c1#(a0(x1)) | (114) |
c2#(c0(a0(a2(x1)))) | → | c2#(a0(b2(c1(a0(x1))))) | (115) |
c2#(c0(a0(a2(x1)))) | → | b2#(c1(a0(x1))) | (116) |
c2#(c0(a0(a2(x1)))) | → | a0#(x1) | (117) |
c2#(c0(a0(a2(x1)))) | → | a0#(b2(c1(a0(x1)))) | (118) |
c2#(c0(a0(a2(x1)))) | → | a2#(c2(a0(b2(c1(a0(x1)))))) | (119) |
b0#(a1(c2(x1))) | → | c0#(x1) | (120) |
b0#(a1(c2(x1))) | → | c0#(c0(x1)) | (121) |
b0#(a1(b2(x1))) | → | c0#(b0(x1)) | (122) |
b0#(a1(b2(x1))) | → | b0#(x1) | (123) |
b0#(a1(a2(x1))) | → | c0#(a0(x1)) | (124) |
b0#(a1(a2(x1))) | → | a0#(x1) | (125) |
b1#(a1(c2(x1))) | → | c0#(x1) | (126) |
b1#(a1(c2(x1))) | → | c1#(c0(x1)) | (127) |
b1#(a1(b2(x1))) | → | c1#(b0(x1)) | (128) |
b1#(a1(b2(x1))) | → | b0#(x1) | (129) |
b1#(a1(a2(x1))) | → | c1#(a0(x1)) | (130) |
b1#(a1(a2(x1))) | → | a0#(x1) | (131) |
b2#(a1(c2(x1))) | → | c0#(x1) | (132) |
b2#(a1(c2(x1))) | → | c2#(c0(x1)) | (133) |
b2#(a1(b2(x1))) | → | c2#(b0(x1)) | (134) |
b2#(a1(b2(x1))) | → | b0#(x1) | (135) |
b2#(a1(a2(x1))) | → | c2#(a0(x1)) | (136) |
b2#(a1(a2(x1))) | → | a0#(x1) | (137) |
a0#(c2(x1)) | → | c0#(x1) | (138) |
a0#(b2(x1)) | → | b0#(x1) | (139) |
a0#(a2(x1)) | → | a0#(x1) | (140) |
a1#(c2(x1)) | → | c1#(x1) | (141) |
a1#(b2(x1)) | → | b1#(x1) | (142) |
a1#(a2(x1)) | → | a1#(x1) | (143) |
[c0(x1)] | = |
x1 +
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[c1(x1)] | = |
x1 +
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[c2(x1)] | = |
x1 +
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[b0(x1)] | = |
x1 +
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[b1(x1)] | = |
x1 +
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[b2(x1)] | = |
x1 +
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[a0(x1)] | = |
x1 +
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[a1(x1)] | = |
x1 +
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[a2(x1)] | = |
x1 +
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[c0#(x1)] | = |
x1 +
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[c1#(x1)] | = |
x1 +
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[c2#(x1)] | = |
x1 +
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[b0#(x1)] | = |
x1 +
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[b1#(x1)] | = |
x1 +
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[b2#(x1)] | = |
x1 +
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[a0#(x1)] | = |
x1 +
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[a1#(x1)] | = |
x1 +
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[a2#(x1)] | = |
x1 +
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a2(a2(x1)) | → | a2(x1) | (13) |
a1(a2(x1)) | → | a1(x1) | (40) |
a0(a2(x1)) | → | a0(x1) | (41) |
a2(b2(x1)) | → | b2(x1) | (42) |
a1(b2(x1)) | → | b1(x1) | (43) |
a0(b2(x1)) | → | b0(x1) | (44) |
a2(c2(x1)) | → | c2(x1) | (45) |
a1(c2(x1)) | → | c1(x1) | (46) |
a0(c2(x1)) | → | c0(x1) | (47) |
b2(a1(a2(x1))) | → | c2(a0(x1)) | (48) |
b1(a1(a2(x1))) | → | c1(a0(x1)) | (49) |
b0(a1(a2(x1))) | → | c0(a0(x1)) | (50) |
b2(a1(b2(x1))) | → | c2(b0(x1)) | (51) |
b1(a1(b2(x1))) | → | c1(b0(x1)) | (52) |
b0(a1(b2(x1))) | → | c0(b0(x1)) | (53) |
b2(a1(c2(x1))) | → | c2(c0(x1)) | (54) |
b1(a1(c2(x1))) | → | c1(c0(x1)) | (55) |
b0(a1(c2(x1))) | → | c0(c0(x1)) | (56) |
c2(c0(a0(a2(x1)))) | → | a2(c2(a0(b2(c1(a0(x1)))))) | (57) |
c1(c0(a0(a2(x1)))) | → | a1(c2(a0(b2(c1(a0(x1)))))) | (58) |
c0(c0(a0(a2(x1)))) | → | a0(c2(a0(b2(c1(a0(x1)))))) | (59) |
c2(c0(a0(b2(x1)))) | → | a2(c2(a0(b2(c1(b0(x1)))))) | (60) |
c1(c0(a0(b2(x1)))) | → | a1(c2(a0(b2(c1(b0(x1)))))) | (61) |
c0(c0(a0(b2(x1)))) | → | a0(c2(a0(b2(c1(b0(x1)))))) | (62) |
c2(c0(a0(c2(x1)))) | → | a2(c2(a0(b2(c1(c0(x1)))))) | (63) |
c1(c0(a0(c2(x1)))) | → | a1(c2(a0(b2(c1(c0(x1)))))) | (64) |
c0(c0(a0(c2(x1)))) | → | a0(c2(a0(b2(c1(c0(x1)))))) | (65) |
c2#(c0(a0(c2(x1)))) | → | a2#(c2(a0(b2(c1(c0(x1)))))) | (107) |
c2#(c0(a0(b2(x1)))) | → | a2#(c2(a0(b2(c1(b0(x1)))))) | (113) |
c2#(c0(a0(a2(x1)))) | → | a2#(c2(a0(b2(c1(a0(x1)))))) | (119) |
The dependency pairs are split into 1 component.
c0#(c0(a0(c2(x1)))) | → | c0#(x1) | (66) |
c0#(c0(a0(c2(x1)))) | → | c1#(c0(x1)) | (67) |
c1#(c0(a0(c2(x1)))) | → | c0#(x1) | (84) |
c0#(c0(a0(c2(x1)))) | → | c2#(a0(b2(c1(c0(x1))))) | (68) |
c2#(c0(a0(c2(x1)))) | → | c0#(x1) | (102) |
c0#(c0(a0(c2(x1)))) | → | b2#(c1(c0(x1))) | (69) |
b2#(a1(c2(x1))) | → | c0#(x1) | (132) |
c0#(c0(a0(c2(x1)))) | → | a0#(c2(a0(b2(c1(c0(x1)))))) | (70) |
a0#(c2(x1)) | → | c0#(x1) | (138) |
c0#(c0(a0(c2(x1)))) | → | a0#(b2(c1(c0(x1)))) | (71) |
a0#(b2(x1)) | → | b0#(x1) | (139) |
b0#(a1(c2(x1))) | → | c0#(x1) | (120) |
c0#(c0(a0(b2(x1)))) | → | c1#(b0(x1)) | (72) |
c1#(c0(a0(c2(x1)))) | → | c1#(c0(x1)) | (85) |
c1#(c0(a0(c2(x1)))) | → | c2#(a0(b2(c1(c0(x1))))) | (86) |
c2#(c0(a0(c2(x1)))) | → | c1#(c0(x1)) | (103) |
c1#(c0(a0(c2(x1)))) | → | b2#(c1(c0(x1))) | (87) |
b2#(a1(c2(x1))) | → | c2#(c0(x1)) | (133) |
c2#(c0(a0(c2(x1)))) | → | c2#(a0(b2(c1(c0(x1))))) | (104) |
c2#(c0(a0(c2(x1)))) | → | b2#(c1(c0(x1))) | (105) |
b2#(a1(b2(x1))) | → | c2#(b0(x1)) | (134) |
c2#(c0(a0(c2(x1)))) | → | a0#(b2(c1(c0(x1)))) | (106) |
a0#(a2(x1)) | → | a0#(x1) | (140) |
c2#(c0(a0(b2(x1)))) | → | c1#(b0(x1)) | (108) |
c1#(c0(a0(c2(x1)))) | → | a0#(b2(c1(c0(x1)))) | (88) |
c1#(c0(a0(c2(x1)))) | → | a1#(c2(a0(b2(c1(c0(x1)))))) | (89) |
a1#(c2(x1)) | → | c1#(x1) | (141) |
c1#(c0(a0(b2(x1)))) | → | c1#(b0(x1)) | (90) |
c1#(c0(a0(b2(x1)))) | → | c2#(a0(b2(c1(b0(x1))))) | (91) |
c2#(c0(a0(b2(x1)))) | → | c2#(a0(b2(c1(b0(x1))))) | (109) |
c2#(c0(a0(b2(x1)))) | → | b0#(x1) | (110) |
b0#(a1(c2(x1))) | → | c0#(c0(x1)) | (121) |
c0#(c0(a0(b2(x1)))) | → | c2#(a0(b2(c1(b0(x1))))) | (73) |
c2#(c0(a0(b2(x1)))) | → | b2#(c1(b0(x1))) | (111) |
b2#(a1(b2(x1))) | → | b0#(x1) | (135) |
b0#(a1(b2(x1))) | → | c0#(b0(x1)) | (122) |
c0#(c0(a0(b2(x1)))) | → | b0#(x1) | (74) |
b0#(a1(b2(x1))) | → | b0#(x1) | (123) |
b0#(a1(a2(x1))) | → | c0#(a0(x1)) | (124) |
c0#(c0(a0(b2(x1)))) | → | b2#(c1(b0(x1))) | (75) |
b2#(a1(a2(x1))) | → | c2#(a0(x1)) | (136) |
c2#(c0(a0(b2(x1)))) | → | a0#(b2(c1(b0(x1)))) | (112) |
c2#(c0(a0(a2(x1)))) | → | c1#(a0(x1)) | (114) |
c1#(c0(a0(b2(x1)))) | → | b0#(x1) | (92) |
b0#(a1(a2(x1))) | → | a0#(x1) | (125) |
c1#(c0(a0(b2(x1)))) | → | b2#(c1(b0(x1))) | (93) |
b2#(a1(a2(x1))) | → | a0#(x1) | (137) |
c1#(c0(a0(b2(x1)))) | → | a0#(b2(c1(b0(x1)))) | (94) |
c1#(c0(a0(b2(x1)))) | → | a1#(c2(a0(b2(c1(b0(x1)))))) | (95) |
a1#(b2(x1)) | → | b1#(x1) | (142) |
b1#(a1(c2(x1))) | → | c0#(x1) | (126) |
c0#(c0(a0(b2(x1)))) | → | a0#(c2(a0(b2(c1(b0(x1)))))) | (76) |
c0#(c0(a0(b2(x1)))) | → | a0#(b2(c1(b0(x1)))) | (77) |
c0#(c0(a0(a2(x1)))) | → | c1#(a0(x1)) | (78) |
c1#(c0(a0(a2(x1)))) | → | c1#(a0(x1)) | (96) |
c1#(c0(a0(a2(x1)))) | → | c2#(a0(b2(c1(a0(x1))))) | (97) |
c2#(c0(a0(a2(x1)))) | → | c2#(a0(b2(c1(a0(x1))))) | (115) |
c2#(c0(a0(a2(x1)))) | → | b2#(c1(a0(x1))) | (116) |
c2#(c0(a0(a2(x1)))) | → | a0#(x1) | (117) |
c2#(c0(a0(a2(x1)))) | → | a0#(b2(c1(a0(x1)))) | (118) |
c1#(c0(a0(a2(x1)))) | → | b2#(c1(a0(x1))) | (98) |
c1#(c0(a0(a2(x1)))) | → | a0#(x1) | (99) |
c1#(c0(a0(a2(x1)))) | → | a0#(b2(c1(a0(x1)))) | (100) |
c1#(c0(a0(a2(x1)))) | → | a1#(c2(a0(b2(c1(a0(x1)))))) | (101) |
a1#(a2(x1)) | → | a1#(x1) | (143) |
c0#(c0(a0(a2(x1)))) | → | c2#(a0(b2(c1(a0(x1))))) | (79) |
c0#(c0(a0(a2(x1)))) | → | b2#(c1(a0(x1))) | (80) |
c0#(c0(a0(a2(x1)))) | → | a0#(x1) | (81) |
c0#(c0(a0(a2(x1)))) | → | a0#(c2(a0(b2(c1(a0(x1)))))) | (82) |
c0#(c0(a0(a2(x1)))) | → | a0#(b2(c1(a0(x1)))) | (83) |
b1#(a1(c2(x1))) | → | c1#(c0(x1)) | (127) |
b1#(a1(b2(x1))) | → | c1#(b0(x1)) | (128) |
b1#(a1(b2(x1))) | → | b0#(x1) | (129) |
b1#(a1(a2(x1))) | → | c1#(a0(x1)) | (130) |
b1#(a1(a2(x1))) | → | a0#(x1) | (131) |
[c0(x1)] | = |
|
||||||||||||
[c1(x1)] | = |
|
||||||||||||
[c2(x1)] | = |
|
||||||||||||
[b0(x1)] | = |
|
||||||||||||
[b1(x1)] | = |
|
||||||||||||
[b2(x1)] | = |
|
||||||||||||
[a0(x1)] | = |
|
||||||||||||
[a1(x1)] | = |
|
||||||||||||
[a2(x1)] | = |
|
||||||||||||
[c0#(x1)] | = |
|
||||||||||||
[c1#(x1)] | = |
|
||||||||||||
[c2#(x1)] | = |
|
||||||||||||
[b0#(x1)] | = |
|
||||||||||||
[b1#(x1)] | = |
|
||||||||||||
[b2#(x1)] | = |
|
||||||||||||
[a0#(x1)] | = |
|
||||||||||||
[a1#(x1)] | = |
|
a2(a2(x1)) | → | a2(x1) | (13) |
a1(a2(x1)) | → | a1(x1) | (40) |
a0(a2(x1)) | → | a0(x1) | (41) |
a2(b2(x1)) | → | b2(x1) | (42) |
a1(b2(x1)) | → | b1(x1) | (43) |
a0(b2(x1)) | → | b0(x1) | (44) |
a2(c2(x1)) | → | c2(x1) | (45) |
a1(c2(x1)) | → | c1(x1) | (46) |
a0(c2(x1)) | → | c0(x1) | (47) |
b2(a1(a2(x1))) | → | c2(a0(x1)) | (48) |
b1(a1(a2(x1))) | → | c1(a0(x1)) | (49) |
b0(a1(a2(x1))) | → | c0(a0(x1)) | (50) |
b2(a1(b2(x1))) | → | c2(b0(x1)) | (51) |
b1(a1(b2(x1))) | → | c1(b0(x1)) | (52) |
b0(a1(b2(x1))) | → | c0(b0(x1)) | (53) |
b2(a1(c2(x1))) | → | c2(c0(x1)) | (54) |
b1(a1(c2(x1))) | → | c1(c0(x1)) | (55) |
b0(a1(c2(x1))) | → | c0(c0(x1)) | (56) |
c2(c0(a0(a2(x1)))) | → | a2(c2(a0(b2(c1(a0(x1)))))) | (57) |
c1(c0(a0(a2(x1)))) | → | a1(c2(a0(b2(c1(a0(x1)))))) | (58) |
c0(c0(a0(a2(x1)))) | → | a0(c2(a0(b2(c1(a0(x1)))))) | (59) |
c2(c0(a0(b2(x1)))) | → | a2(c2(a0(b2(c1(b0(x1)))))) | (60) |
c1(c0(a0(b2(x1)))) | → | a1(c2(a0(b2(c1(b0(x1)))))) | (61) |
c0(c0(a0(b2(x1)))) | → | a0(c2(a0(b2(c1(b0(x1)))))) | (62) |
c2(c0(a0(c2(x1)))) | → | a2(c2(a0(b2(c1(c0(x1)))))) | (63) |
c1(c0(a0(c2(x1)))) | → | a1(c2(a0(b2(c1(c0(x1)))))) | (64) |
c0(c0(a0(c2(x1)))) | → | a0(c2(a0(b2(c1(c0(x1)))))) | (65) |
a1#(b2(x1)) | → | b1#(x1) | (142) |
[c0(x1)] | = |
x1 +
|
||||
[c1(x1)] | = |
x1 +
|
||||
[c2(x1)] | = |
x1 +
|
||||
[b0(x1)] | = |
x1 +
|
||||
[b1(x1)] | = |
x1 +
|
||||
[b2(x1)] | = |
x1 +
|
||||
[a0(x1)] | = |
x1 +
|
||||
[a1(x1)] | = |
x1 +
|
||||
[a2(x1)] | = |
x1 +
|
||||
[c0#(x1)] | = |
x1 +
|
||||
[c1#(x1)] | = |
x1 +
|
||||
[c2#(x1)] | = |
x1 +
|
||||
[b0#(x1)] | = |
x1 +
|
||||
[b1#(x1)] | = |
x1 +
|
||||
[b2#(x1)] | = |
x1 +
|
||||
[a0#(x1)] | = |
x1 +
|
||||
[a1#(x1)] | = |
x1 +
|
a2(a2(x1)) | → | a2(x1) | (13) |
a1(a2(x1)) | → | a1(x1) | (40) |
a0(a2(x1)) | → | a0(x1) | (41) |
a2(b2(x1)) | → | b2(x1) | (42) |
a1(b2(x1)) | → | b1(x1) | (43) |
a0(b2(x1)) | → | b0(x1) | (44) |
a2(c2(x1)) | → | c2(x1) | (45) |
a1(c2(x1)) | → | c1(x1) | (46) |
a0(c2(x1)) | → | c0(x1) | (47) |
b2(a1(a2(x1))) | → | c2(a0(x1)) | (48) |
b1(a1(a2(x1))) | → | c1(a0(x1)) | (49) |
b0(a1(a2(x1))) | → | c0(a0(x1)) | (50) |
b2(a1(b2(x1))) | → | c2(b0(x1)) | (51) |
b1(a1(b2(x1))) | → | c1(b0(x1)) | (52) |
b0(a1(b2(x1))) | → | c0(b0(x1)) | (53) |
b2(a1(c2(x1))) | → | c2(c0(x1)) | (54) |
b1(a1(c2(x1))) | → | c1(c0(x1)) | (55) |
b0(a1(c2(x1))) | → | c0(c0(x1)) | (56) |
c2(c0(a0(a2(x1)))) | → | a2(c2(a0(b2(c1(a0(x1)))))) | (57) |
c1(c0(a0(a2(x1)))) | → | a1(c2(a0(b2(c1(a0(x1)))))) | (58) |
c0(c0(a0(a2(x1)))) | → | a0(c2(a0(b2(c1(a0(x1)))))) | (59) |
c2(c0(a0(b2(x1)))) | → | a2(c2(a0(b2(c1(b0(x1)))))) | (60) |
c1(c0(a0(b2(x1)))) | → | a1(c2(a0(b2(c1(b0(x1)))))) | (61) |
c0(c0(a0(b2(x1)))) | → | a0(c2(a0(b2(c1(b0(x1)))))) | (62) |
c2(c0(a0(c2(x1)))) | → | a2(c2(a0(b2(c1(c0(x1)))))) | (63) |
c1(c0(a0(c2(x1)))) | → | a1(c2(a0(b2(c1(c0(x1)))))) | (64) |
c0(c0(a0(c2(x1)))) | → | a0(c2(a0(b2(c1(c0(x1)))))) | (65) |
b1#(a1(c2(x1))) | → | c0#(x1) | (126) |
b1#(a1(c2(x1))) | → | c1#(c0(x1)) | (127) |
b1#(a1(b2(x1))) | → | c1#(b0(x1)) | (128) |
b1#(a1(b2(x1))) | → | b0#(x1) | (129) |
b1#(a1(a2(x1))) | → | c1#(a0(x1)) | (130) |
b1#(a1(a2(x1))) | → | a0#(x1) | (131) |
The dependency pairs are split into 1 component.
c0#(c0(a0(c2(x1)))) | → | c0#(x1) | (66) |
c0#(c0(a0(c2(x1)))) | → | c1#(c0(x1)) | (67) |
c1#(c0(a0(c2(x1)))) | → | c0#(x1) | (84) |
c0#(c0(a0(c2(x1)))) | → | c2#(a0(b2(c1(c0(x1))))) | (68) |
c2#(c0(a0(c2(x1)))) | → | c0#(x1) | (102) |
c0#(c0(a0(c2(x1)))) | → | b2#(c1(c0(x1))) | (69) |
b2#(a1(c2(x1))) | → | c0#(x1) | (132) |
c0#(c0(a0(c2(x1)))) | → | a0#(c2(a0(b2(c1(c0(x1)))))) | (70) |
a0#(c2(x1)) | → | c0#(x1) | (138) |
c0#(c0(a0(c2(x1)))) | → | a0#(b2(c1(c0(x1)))) | (71) |
a0#(b2(x1)) | → | b0#(x1) | (139) |
b0#(a1(c2(x1))) | → | c0#(x1) | (120) |
c0#(c0(a0(b2(x1)))) | → | c1#(b0(x1)) | (72) |
c1#(c0(a0(c2(x1)))) | → | c1#(c0(x1)) | (85) |
c1#(c0(a0(c2(x1)))) | → | c2#(a0(b2(c1(c0(x1))))) | (86) |
c2#(c0(a0(c2(x1)))) | → | c1#(c0(x1)) | (103) |
c1#(c0(a0(c2(x1)))) | → | b2#(c1(c0(x1))) | (87) |
b2#(a1(c2(x1))) | → | c2#(c0(x1)) | (133) |
c2#(c0(a0(c2(x1)))) | → | c2#(a0(b2(c1(c0(x1))))) | (104) |
c2#(c0(a0(c2(x1)))) | → | b2#(c1(c0(x1))) | (105) |
b2#(a1(b2(x1))) | → | c2#(b0(x1)) | (134) |
c2#(c0(a0(c2(x1)))) | → | a0#(b2(c1(c0(x1)))) | (106) |
a0#(a2(x1)) | → | a0#(x1) | (140) |
c2#(c0(a0(b2(x1)))) | → | c1#(b0(x1)) | (108) |
c1#(c0(a0(c2(x1)))) | → | a0#(b2(c1(c0(x1)))) | (88) |
c1#(c0(a0(c2(x1)))) | → | a1#(c2(a0(b2(c1(c0(x1)))))) | (89) |
a1#(c2(x1)) | → | c1#(x1) | (141) |
c1#(c0(a0(b2(x1)))) | → | c1#(b0(x1)) | (90) |
c1#(c0(a0(b2(x1)))) | → | c2#(a0(b2(c1(b0(x1))))) | (91) |
c2#(c0(a0(b2(x1)))) | → | c2#(a0(b2(c1(b0(x1))))) | (109) |
c2#(c0(a0(b2(x1)))) | → | b0#(x1) | (110) |
b0#(a1(c2(x1))) | → | c0#(c0(x1)) | (121) |
c0#(c0(a0(b2(x1)))) | → | c2#(a0(b2(c1(b0(x1))))) | (73) |
c2#(c0(a0(b2(x1)))) | → | b2#(c1(b0(x1))) | (111) |
b2#(a1(b2(x1))) | → | b0#(x1) | (135) |
b0#(a1(b2(x1))) | → | c0#(b0(x1)) | (122) |
c0#(c0(a0(b2(x1)))) | → | b0#(x1) | (74) |
b0#(a1(b2(x1))) | → | b0#(x1) | (123) |
b0#(a1(a2(x1))) | → | c0#(a0(x1)) | (124) |
c0#(c0(a0(b2(x1)))) | → | b2#(c1(b0(x1))) | (75) |
b2#(a1(a2(x1))) | → | c2#(a0(x1)) | (136) |
c2#(c0(a0(b2(x1)))) | → | a0#(b2(c1(b0(x1)))) | (112) |
c2#(c0(a0(a2(x1)))) | → | c1#(a0(x1)) | (114) |
c1#(c0(a0(b2(x1)))) | → | b0#(x1) | (92) |
b0#(a1(a2(x1))) | → | a0#(x1) | (125) |
c1#(c0(a0(b2(x1)))) | → | b2#(c1(b0(x1))) | (93) |
b2#(a1(a2(x1))) | → | a0#(x1) | (137) |
c1#(c0(a0(b2(x1)))) | → | a0#(b2(c1(b0(x1)))) | (94) |
c1#(c0(a0(b2(x1)))) | → | a1#(c2(a0(b2(c1(b0(x1)))))) | (95) |
a1#(a2(x1)) | → | a1#(x1) | (143) |
c1#(c0(a0(a2(x1)))) | → | c1#(a0(x1)) | (96) |
c1#(c0(a0(a2(x1)))) | → | c2#(a0(b2(c1(a0(x1))))) | (97) |
c2#(c0(a0(a2(x1)))) | → | c2#(a0(b2(c1(a0(x1))))) | (115) |
c2#(c0(a0(a2(x1)))) | → | b2#(c1(a0(x1))) | (116) |
c2#(c0(a0(a2(x1)))) | → | a0#(x1) | (117) |
c2#(c0(a0(a2(x1)))) | → | a0#(b2(c1(a0(x1)))) | (118) |
c1#(c0(a0(a2(x1)))) | → | b2#(c1(a0(x1))) | (98) |
c1#(c0(a0(a2(x1)))) | → | a0#(x1) | (99) |
c1#(c0(a0(a2(x1)))) | → | a0#(b2(c1(a0(x1)))) | (100) |
c1#(c0(a0(a2(x1)))) | → | a1#(c2(a0(b2(c1(a0(x1)))))) | (101) |
c0#(c0(a0(b2(x1)))) | → | a0#(c2(a0(b2(c1(b0(x1)))))) | (76) |
c0#(c0(a0(b2(x1)))) | → | a0#(b2(c1(b0(x1)))) | (77) |
c0#(c0(a0(a2(x1)))) | → | c1#(a0(x1)) | (78) |
c0#(c0(a0(a2(x1)))) | → | c2#(a0(b2(c1(a0(x1))))) | (79) |
c0#(c0(a0(a2(x1)))) | → | b2#(c1(a0(x1))) | (80) |
c0#(c0(a0(a2(x1)))) | → | a0#(x1) | (81) |
c0#(c0(a0(a2(x1)))) | → | a0#(c2(a0(b2(c1(a0(x1)))))) | (82) |
c0#(c0(a0(a2(x1)))) | → | a0#(b2(c1(a0(x1)))) | (83) |
[c0(x1)] | = |
|
||||||||||||
[c1(x1)] | = |
|
||||||||||||
[c2(x1)] | = |
|
||||||||||||
[b0(x1)] | = |
|
||||||||||||
[b1(x1)] | = |
|
||||||||||||
[b2(x1)] | = |
|
||||||||||||
[a0(x1)] | = |
|
||||||||||||
[a1(x1)] | = |
|
||||||||||||
[a2(x1)] | = |
|
||||||||||||
[c0#(x1)] | = |
|
||||||||||||
[c1#(x1)] | = |
|
||||||||||||
[c2#(x1)] | = |
|
||||||||||||
[b0#(x1)] | = |
|
||||||||||||
[b2#(x1)] | = |
|
||||||||||||
[a0#(x1)] | = |
|
||||||||||||
[a1#(x1)] | = |
|
a2(a2(x1)) | → | a2(x1) | (13) |
a1(a2(x1)) | → | a1(x1) | (40) |
a0(a2(x1)) | → | a0(x1) | (41) |
a2(b2(x1)) | → | b2(x1) | (42) |
a1(b2(x1)) | → | b1(x1) | (43) |
a0(b2(x1)) | → | b0(x1) | (44) |
a2(c2(x1)) | → | c2(x1) | (45) |
a1(c2(x1)) | → | c1(x1) | (46) |
a0(c2(x1)) | → | c0(x1) | (47) |
b2(a1(a2(x1))) | → | c2(a0(x1)) | (48) |
b1(a1(a2(x1))) | → | c1(a0(x1)) | (49) |
b0(a1(a2(x1))) | → | c0(a0(x1)) | (50) |
b2(a1(b2(x1))) | → | c2(b0(x1)) | (51) |
b1(a1(b2(x1))) | → | c1(b0(x1)) | (52) |
b0(a1(b2(x1))) | → | c0(b0(x1)) | (53) |
b2(a1(c2(x1))) | → | c2(c0(x1)) | (54) |
b1(a1(c2(x1))) | → | c1(c0(x1)) | (55) |
b0(a1(c2(x1))) | → | c0(c0(x1)) | (56) |
c2(c0(a0(a2(x1)))) | → | a2(c2(a0(b2(c1(a0(x1)))))) | (57) |
c1(c0(a0(a2(x1)))) | → | a1(c2(a0(b2(c1(a0(x1)))))) | (58) |
c0(c0(a0(a2(x1)))) | → | a0(c2(a0(b2(c1(a0(x1)))))) | (59) |
c2(c0(a0(b2(x1)))) | → | a2(c2(a0(b2(c1(b0(x1)))))) | (60) |
c1(c0(a0(b2(x1)))) | → | a1(c2(a0(b2(c1(b0(x1)))))) | (61) |
c0(c0(a0(b2(x1)))) | → | a0(c2(a0(b2(c1(b0(x1)))))) | (62) |
c2(c0(a0(c2(x1)))) | → | a2(c2(a0(b2(c1(c0(x1)))))) | (63) |
c1(c0(a0(c2(x1)))) | → | a1(c2(a0(b2(c1(c0(x1)))))) | (64) |
c0(c0(a0(c2(x1)))) | → | a0(c2(a0(b2(c1(c0(x1)))))) | (65) |
c0#(c0(a0(c2(x1)))) | → | c0#(x1) | (66) |
c1#(c0(a0(c2(x1)))) | → | c0#(x1) | (84) |
c2#(c0(a0(c2(x1)))) | → | c0#(x1) | (102) |
c0#(c0(a0(c2(x1)))) | → | b2#(c1(c0(x1))) | (69) |
b2#(a1(c2(x1))) | → | c0#(x1) | (132) |
a0#(c2(x1)) | → | c0#(x1) | (138) |
a0#(b2(x1)) | → | b0#(x1) | (139) |
b0#(a1(c2(x1))) | → | c0#(x1) | (120) |
c1#(c0(a0(c2(x1)))) | → | c1#(c0(x1)) | (85) |
c1#(c0(a0(c2(x1)))) | → | c2#(a0(b2(c1(c0(x1))))) | (86) |
c1#(c0(a0(c2(x1)))) | → | b2#(c1(c0(x1))) | (87) |
b2#(a1(c2(x1))) | → | c2#(c0(x1)) | (133) |
c2#(c0(a0(c2(x1)))) | → | b2#(c1(c0(x1))) | (105) |
b2#(a1(b2(x1))) | → | c2#(b0(x1)) | (134) |
c1#(c0(a0(c2(x1)))) | → | a0#(b2(c1(c0(x1)))) | (88) |
a1#(c2(x1)) | → | c1#(x1) | (141) |
c1#(c0(a0(b2(x1)))) | → | c1#(b0(x1)) | (90) |
c1#(c0(a0(b2(x1)))) | → | c2#(a0(b2(c1(b0(x1))))) | (91) |
c2#(c0(a0(b2(x1)))) | → | b0#(x1) | (110) |
c2#(c0(a0(b2(x1)))) | → | b2#(c1(b0(x1))) | (111) |
b2#(a1(b2(x1))) | → | b0#(x1) | (135) |
b0#(a1(b2(x1))) | → | c0#(b0(x1)) | (122) |
c0#(c0(a0(b2(x1)))) | → | b0#(x1) | (74) |
b0#(a1(b2(x1))) | → | b0#(x1) | (123) |
b0#(a1(a2(x1))) | → | c0#(a0(x1)) | (124) |
c0#(c0(a0(b2(x1)))) | → | b2#(c1(b0(x1))) | (75) |
b2#(a1(a2(x1))) | → | c2#(a0(x1)) | (136) |
c1#(c0(a0(b2(x1)))) | → | b0#(x1) | (92) |
c1#(c0(a0(b2(x1)))) | → | b2#(c1(b0(x1))) | (93) |
b2#(a1(a2(x1))) | → | a0#(x1) | (137) |
c1#(c0(a0(b2(x1)))) | → | a0#(b2(c1(b0(x1)))) | (94) |
c1#(c0(a0(a2(x1)))) | → | c1#(a0(x1)) | (96) |
c1#(c0(a0(a2(x1)))) | → | c2#(a0(b2(c1(a0(x1))))) | (97) |
c2#(c0(a0(a2(x1)))) | → | b2#(c1(a0(x1))) | (116) |
c1#(c0(a0(a2(x1)))) | → | b2#(c1(a0(x1))) | (98) |
c1#(c0(a0(a2(x1)))) | → | a0#(x1) | (99) |
c1#(c0(a0(a2(x1)))) | → | a0#(b2(c1(a0(x1)))) | (100) |
c0#(c0(a0(a2(x1)))) | → | b2#(c1(a0(x1))) | (80) |
[c0(x1)] | = |
x1 +
|
||||
[c1(x1)] | = |
x1 +
|
||||
[c2(x1)] | = |
x1 +
|
||||
[b0(x1)] | = |
x1 +
|
||||
[b1(x1)] | = |
x1 +
|
||||
[b2(x1)] | = |
x1 +
|
||||
[a0(x1)] | = |
x1 +
|
||||
[a1(x1)] | = |
x1 +
|
||||
[a2(x1)] | = |
x1 +
|
||||
[c0#(x1)] | = |
x1 +
|
||||
[c1#(x1)] | = |
x1 +
|
||||
[c2#(x1)] | = |
x1 +
|
||||
[b0#(x1)] | = |
x1 +
|
||||
[a0#(x1)] | = |
x1 +
|
||||
[a1#(x1)] | = |
x1 +
|
a2(a2(x1)) | → | a2(x1) | (13) |
a1(a2(x1)) | → | a1(x1) | (40) |
a0(a2(x1)) | → | a0(x1) | (41) |
a2(b2(x1)) | → | b2(x1) | (42) |
a1(b2(x1)) | → | b1(x1) | (43) |
a0(b2(x1)) | → | b0(x1) | (44) |
a2(c2(x1)) | → | c2(x1) | (45) |
a1(c2(x1)) | → | c1(x1) | (46) |
a0(c2(x1)) | → | c0(x1) | (47) |
b2(a1(a2(x1))) | → | c2(a0(x1)) | (48) |
b1(a1(a2(x1))) | → | c1(a0(x1)) | (49) |
b0(a1(a2(x1))) | → | c0(a0(x1)) | (50) |
b2(a1(b2(x1))) | → | c2(b0(x1)) | (51) |
b1(a1(b2(x1))) | → | c1(b0(x1)) | (52) |
b0(a1(b2(x1))) | → | c0(b0(x1)) | (53) |
b2(a1(c2(x1))) | → | c2(c0(x1)) | (54) |
b1(a1(c2(x1))) | → | c1(c0(x1)) | (55) |
b0(a1(c2(x1))) | → | c0(c0(x1)) | (56) |
c2(c0(a0(a2(x1)))) | → | a2(c2(a0(b2(c1(a0(x1)))))) | (57) |
c1(c0(a0(a2(x1)))) | → | a1(c2(a0(b2(c1(a0(x1)))))) | (58) |
c0(c0(a0(a2(x1)))) | → | a0(c2(a0(b2(c1(a0(x1)))))) | (59) |
c2(c0(a0(b2(x1)))) | → | a2(c2(a0(b2(c1(b0(x1)))))) | (60) |
c1(c0(a0(b2(x1)))) | → | a1(c2(a0(b2(c1(b0(x1)))))) | (61) |
c0(c0(a0(b2(x1)))) | → | a0(c2(a0(b2(c1(b0(x1)))))) | (62) |
c2(c0(a0(c2(x1)))) | → | a2(c2(a0(b2(c1(c0(x1)))))) | (63) |
c1(c0(a0(c2(x1)))) | → | a1(c2(a0(b2(c1(c0(x1)))))) | (64) |
c0(c0(a0(c2(x1)))) | → | a0(c2(a0(b2(c1(c0(x1)))))) | (65) |
c0#(c0(a0(c2(x1)))) | → | c1#(c0(x1)) | (67) |
c0#(c0(a0(c2(x1)))) | → | c2#(a0(b2(c1(c0(x1))))) | (68) |
c0#(c0(a0(c2(x1)))) | → | a0#(c2(a0(b2(c1(c0(x1)))))) | (70) |
c0#(c0(a0(c2(x1)))) | → | a0#(b2(c1(c0(x1)))) | (71) |
c0#(c0(a0(b2(x1)))) | → | c1#(b0(x1)) | (72) |
c2#(c0(a0(c2(x1)))) | → | c1#(c0(x1)) | (103) |
c2#(c0(a0(c2(x1)))) | → | a0#(b2(c1(c0(x1)))) | (106) |
c2#(c0(a0(b2(x1)))) | → | c1#(b0(x1)) | (108) |
c1#(c0(a0(c2(x1)))) | → | a1#(c2(a0(b2(c1(c0(x1)))))) | (89) |
b0#(a1(c2(x1))) | → | c0#(c0(x1)) | (121) |
c0#(c0(a0(b2(x1)))) | → | c2#(a0(b2(c1(b0(x1))))) | (73) |
c2#(c0(a0(b2(x1)))) | → | a0#(b2(c1(b0(x1)))) | (112) |
c2#(c0(a0(a2(x1)))) | → | c1#(a0(x1)) | (114) |
b0#(a1(a2(x1))) | → | a0#(x1) | (125) |
c1#(c0(a0(b2(x1)))) | → | a1#(c2(a0(b2(c1(b0(x1)))))) | (95) |
c2#(c0(a0(a2(x1)))) | → | a0#(x1) | (117) |
c2#(c0(a0(a2(x1)))) | → | a0#(b2(c1(a0(x1)))) | (118) |
c1#(c0(a0(a2(x1)))) | → | a1#(c2(a0(b2(c1(a0(x1)))))) | (101) |
c0#(c0(a0(b2(x1)))) | → | a0#(c2(a0(b2(c1(b0(x1)))))) | (76) |
c0#(c0(a0(b2(x1)))) | → | a0#(b2(c1(b0(x1)))) | (77) |
c0#(c0(a0(a2(x1)))) | → | c1#(a0(x1)) | (78) |
c0#(c0(a0(a2(x1)))) | → | c2#(a0(b2(c1(a0(x1))))) | (79) |
c0#(c0(a0(a2(x1)))) | → | a0#(x1) | (81) |
c0#(c0(a0(a2(x1)))) | → | a0#(c2(a0(b2(c1(a0(x1)))))) | (82) |
c0#(c0(a0(a2(x1)))) | → | a0#(b2(c1(a0(x1)))) | (83) |
The dependency pairs are split into 3 components.
c2#(c0(a0(c2(x1)))) | → | c2#(a0(b2(c1(c0(x1))))) | (104) |
c2#(c0(a0(b2(x1)))) | → | c2#(a0(b2(c1(b0(x1))))) | (109) |
c2#(c0(a0(a2(x1)))) | → | c2#(a0(b2(c1(a0(x1))))) | (115) |
[c0(x1)] | = |
|
||||||||||||
[c1(x1)] | = |
|
||||||||||||
[c2(x1)] | = |
|
||||||||||||
[b0(x1)] | = |
|
||||||||||||
[b1(x1)] | = |
|
||||||||||||
[b2(x1)] | = |
|
||||||||||||
[a0(x1)] | = |
|
||||||||||||
[a1(x1)] | = |
|
||||||||||||
[a2(x1)] | = |
|
||||||||||||
[c2#(x1)] | = |
|
a2(a2(x1)) | → | a2(x1) | (13) |
a1(a2(x1)) | → | a1(x1) | (40) |
a0(a2(x1)) | → | a0(x1) | (41) |
a2(b2(x1)) | → | b2(x1) | (42) |
a1(b2(x1)) | → | b1(x1) | (43) |
a0(b2(x1)) | → | b0(x1) | (44) |
a2(c2(x1)) | → | c2(x1) | (45) |
a1(c2(x1)) | → | c1(x1) | (46) |
a0(c2(x1)) | → | c0(x1) | (47) |
b2(a1(a2(x1))) | → | c2(a0(x1)) | (48) |
b1(a1(a2(x1))) | → | c1(a0(x1)) | (49) |
b0(a1(a2(x1))) | → | c0(a0(x1)) | (50) |
b2(a1(b2(x1))) | → | c2(b0(x1)) | (51) |
b1(a1(b2(x1))) | → | c1(b0(x1)) | (52) |
b0(a1(b2(x1))) | → | c0(b0(x1)) | (53) |
b2(a1(c2(x1))) | → | c2(c0(x1)) | (54) |
b1(a1(c2(x1))) | → | c1(c0(x1)) | (55) |
b0(a1(c2(x1))) | → | c0(c0(x1)) | (56) |
c2(c0(a0(a2(x1)))) | → | a2(c2(a0(b2(c1(a0(x1)))))) | (57) |
c1(c0(a0(a2(x1)))) | → | a1(c2(a0(b2(c1(a0(x1)))))) | (58) |
c0(c0(a0(a2(x1)))) | → | a0(c2(a0(b2(c1(a0(x1)))))) | (59) |
c2(c0(a0(b2(x1)))) | → | a2(c2(a0(b2(c1(b0(x1)))))) | (60) |
c1(c0(a0(b2(x1)))) | → | a1(c2(a0(b2(c1(b0(x1)))))) | (61) |
c0(c0(a0(b2(x1)))) | → | a0(c2(a0(b2(c1(b0(x1)))))) | (62) |
c2(c0(a0(c2(x1)))) | → | a2(c2(a0(b2(c1(c0(x1)))))) | (63) |
c1(c0(a0(c2(x1)))) | → | a1(c2(a0(b2(c1(c0(x1)))))) | (64) |
c0(c0(a0(c2(x1)))) | → | a0(c2(a0(b2(c1(c0(x1)))))) | (65) |
c2#(c0(a0(c2(x1)))) | → | c2#(a0(b2(c1(c0(x1))))) | (104) |
c2#(c0(a0(b2(x1)))) | → | c2#(a0(b2(c1(b0(x1))))) | (109) |
c2#(c0(a0(a2(x1)))) | → | c2#(a0(b2(c1(a0(x1))))) | (115) |
The dependency pairs are split into 0 components.
a0#(a2(x1)) | → | a0#(x1) | (140) |
[a2(x1)] | = |
x1 +
|
||||
[a0#(x1)] | = |
x1 +
|
a0#(a2(x1)) | → | a0#(x1) | (140) |
The dependency pairs are split into 0 components.
a1#(a2(x1)) | → | a1#(x1) | (143) |
[a2(x1)] | = |
x1 +
|
||||
[a1#(x1)] | = |
x1 +
|
a1#(a2(x1)) | → | a1#(x1) | (143) |
The dependency pairs are split into 0 components.