;; ----- Otter 3.0.4, August 1995 ----- ;; The job was started by mccune on gyro, Wed Nov 1 23:50:11 1995 ;; ;;;; x=x. ;;;; x+y=y+x. ;;;; (x+y)+z=x+ (y+z). ;;;; n(n(x+y)+n(x+n(y)))=x. ;;;; c+c=c. ;;;; n(A+n(B))+n(n(A)+n(B))!=B. ;; ;; ----> UNIT CONFLICT at 21.99 sec ----> 2178 [binary,2177.1,1.1] $F. ;; ( (1 (input) ((= v0 v0))) (2 (input) ((= (+ v0 v1) (+ v1 v0)))) (3 (input) ((= (+ (+ v0 v1) v2) (+ v0 (+ v1 v2))))) (4 (input) ((= (n (+ (n (+ v0 v1)) (n (+ v0 (n v1))))) v0))) (5 (input) ((= (+ (c) (c)) (c)))) (6 (input) ((not (= (+ (n (+ (A) (n (B)))) (n (+ (n (A)) (n (B))))) (B))))) (7 (instantiate 3 ((v0 . (c))(v1 . (c))(v2 . v66))) ((= (+ (+ (c) (c)) v66) (+ (c) (+ (c) v66))))) (8 (paramod 5 (1 1) 7 (1 1 1)) ((= (+ (c) v66) (+ (c) (+ (c) v66))))) (9 (flip 8 (1)) ((= (+ (c) (+ (c) v66)) (+ (c) v66)))) (10 (instantiate 9 ((v66 . v0))) ((= (+ (c) (+ (c) v0)) (+ (c) v0)))) (11 (instantiate 2 ((v0 . (+ v64 v65))(v1 . v66))) ((= (+ (+ v64 v65) v66) (+ v66 (+ v64 v65))))) (12 (instantiate 3 ((v0 . v64)(v1 . v65)(v2 . v66))) ((= (+ (+ v64 v65) v66) (+ v64 (+ v65 v66))))) (13 (paramod 11 (1 1) 12 (1 1)) ((= (+ v66 (+ v64 v65)) (+ v64 (+ v65 v66))))) (14 (instantiate 13 ((v64 . v1)(v65 . v2)(v66 . v0))) ((= (+ v0 (+ v1 v2)) (+ v1 (+ v2 v0))))) (15 (flip 14 (1)) ((= (+ v1 (+ v2 v0)) (+ v0 (+ v1 v2))))) (16 (instantiate 2 ((v0 . (c))(v1 . v64))) ((= (+ (c) v64) (+ v64 (c))))) (17 (instantiate 10 ((v0 . v64))) ((= (+ (c) (+ (c) v64)) (+ (c) v64)))) (18 (paramod 16 (1 1) 17 (1 1 2)) ((= (+ (c) (+ v64 (c))) (+ (c) v64)))) (19 (instantiate 18 ((v64 . v0))) ((= (+ (c) (+ v0 (c))) (+ (c) v0)))) (20 (instantiate 4 ((v0 . (c))(v1 . (c)))) ((= (n (+ (n (+ (c) (c))) (n (+ (c) (n (c)))))) (c)))) (21 (paramod 5 (1 1) 20 (1 1 1 1 1)) ((= (n (+ (n (c)) (n (+ (c) (n (c)))))) (c)))) (22 (instantiate 3 ((v2 . v65))) ((= (+ (+ v0 v1) v65) (+ v0 (+ v1 v65))))) (23 (instantiate 4 ((v0 . (+ v0 v1))(v1 . v65))) ((= (n (+ (n (+ (+ v0 v1) v65)) (n (+ (+ v0 v1) (n v65))))) (+ v0 v1)))) (24 (paramod 22 (1 1) 23 (1 1 1 1 1)) ((= (n (+ (n (+ v0 (+ v1 v65))) (n (+ (+ v0 v1) (n v65))))) (+ v0 v1)))) (25 (instantiate 3 ((v0 . v0)(v1 . v1)(v2 . (n v65)))) ((= (+ (+ v0 v1) (n v65)) (+ v0 (+ v1 (n v65)))))) (26 (paramod 25 (1 1) 24 (1 1 1 2 1)) ((= (n (+ (n (+ v0 (+ v1 v65))) (n (+ v0 (+ v1 (n v65)))))) (+ v0 v1)))) (27 (instantiate 26 ((v65 . v2))) ((= (n (+ (n (+ v0 (+ v1 v2))) (n (+ v0 (+ v1 (n v2)))))) (+ v0 v1)))) (28 (instantiate 2 ((v0 . v64)(v1 . v65))) ((= (+ v64 v65) (+ v65 v64)))) (29 (instantiate 4 ((v0 . v64)(v1 . v65))) ((= (n (+ (n (+ v64 v65)) (n (+ v64 (n v65))))) v64))) (30 (paramod 28 (1 1) 29 (1 1 1 1 1)) ((= (n (+ (n (+ v65 v64)) (n (+ v64 (n v65))))) v64))) (31 (instantiate 30 ((v64 . v1)(v65 . v0))) ((= (n (+ (n (+ v0 v1)) (n (+ v1 (n v0))))) v1))) (32 (instantiate 4 ((v0 . v64)(v1 . (+ (n (+ v0 v1)) (n (+ v0 (n v1))))))) ((= (n (+ (n (+ v64 (+ (n (+ v0 v1)) (n (+ v0 (n v1)))))) (n (+ v64 (n (+ (n (+ v0 v1)) (n (+ v0 (n v1))))))))) v64))) (33 (paramod 4 (1 1) 32 (1 1 1 2 1 2)) ((= (n (+ (n (+ v64 (+ (n (+ v0 v1)) (n (+ v0 (n v1)))))) (n (+ v64 v0)))) v64))) (34 (instantiate 33 ((v0 . v1)(v1 . v2)(v64 . v0))) ((= (n (+ (n (+ v0 (+ (n (+ v1 v2)) (n (+ v1 (n v2)))))) (n (+ v0 v1)))) v0))) (35 (instantiate 2 ((v0 . v64)(v1 . (n v65)))) ((= (+ v64 (n v65)) (+ (n v65) v64)))) (36 (instantiate 4 ((v0 . v64)(v1 . v65))) ((= (n (+ (n (+ v64 v65)) (n (+ v64 (n v65))))) v64))) (37 (paramod 35 (1 1) 36 (1 1 1 2 1)) ((= (n (+ (n (+ v64 v65)) (n (+ (n v65) v64)))) v64))) (38 (instantiate 37 ((v64 . v0)(v65 . v1))) ((= (n (+ (n (+ v0 v1)) (n (+ (n v1) v0)))) v0))) (39 (instantiate 2 ((v0 . (n (+ v64 v65)))(v1 . (n (+ v64 (n v65)))))) ((= (+ (n (+ v64 v65)) (n (+ v64 (n v65)))) (+ (n (+ v64 (n v65))) (n (+ v64 v65)))))) (40 (instantiate 4 ((v0 . v64)(v1 . v65))) ((= (n (+ (n (+ v64 v65)) (n (+ v64 (n v65))))) v64))) (41 (paramod 39 (1 1) 40 (1 1 1)) ((= (n (+ (n (+ v64 (n v65))) (n (+ v64 v65)))) v64))) (42 (instantiate 41 ((v64 . v0)(v65 . v1))) ((= (n (+ (n (+ v0 (n v1))) (n (+ v0 v1)))) v0))) (43 (instantiate 2 ((v0 . v65)(v1 . v66))) ((= (+ v65 v66) (+ v66 v65)))) (44 (instantiate 14 ((v0 . v64)(v1 . v65)(v2 . v66))) ((= (+ v64 (+ v65 v66)) (+ v65 (+ v66 v64))))) (45 (paramod 43 (1 1) 44 (1 1 2)) ((= (+ v64 (+ v66 v65)) (+ v65 (+ v66 v64))))) (46 (instantiate 45 ((v64 . v0)(v65 . v2)(v66 . v1))) ((= (+ v0 (+ v1 v2)) (+ v2 (+ v1 v0))))) (47 (instantiate 2 ((v0 . (n (c)))(v1 . (n (+ (c) (n (c))))))) ((= (+ (n (c)) (n (+ (c) (n (c))))) (+ (n (+ (c) (n (c)))) (n (c)))))) (48 (paramod 47 (1 1) 21 (1 1 1)) ((= (n (+ (n (+ (c) (n (c)))) (n (c)))) (c)))) (49 (instantiate 4 ((v0 . (n (c)))(v1 . (+ (c) (n (c)))))) ((= (n (+ (n (+ (n (c)) (+ (c) (n (c))))) (n (+ (n (c)) (n (+ (c) (n (c)))))))) (n (c))))) (50 (paramod 21 (1 1) 49 (1 1 1 2)) ((= (n (+ (n (+ (n (c)) (+ (c) (n (c))))) (c))) (n (c))))) (51 (instantiate 2 ((v0 . (n (+ (A) (n (B)))))(v1 . (n (+ (n (A)) (n (B))))))) ((= (+ (n (+ (A) (n (B)))) (n (+ (n (A)) (n (B))))) (+ (n (+ (n (A)) (n (B)))) (n (+ (A) (n (B)))))))) (52 (paramod 51 (1 1) 6 (1 1 1)) ((not (= (+ (n (+ (n (A)) (n (B)))) (n (+ (A) (n (B))))) (B))))) (53 (instantiate 4 ((v0 . v64)(v1 . (+ (n (+ (c) (n (c)))) (n (c)))))) ((= (n (+ (n (+ v64 (+ (n (+ (c) (n (c)))) (n (c))))) (n (+ v64 (n (+ (n (+ (c) (n (c)))) (n (c)))))))) v64))) (54 (paramod 48 (1 1) 53 (1 1 1 2 1 2)) ((= (n (+ (n (+ v64 (+ (n (+ (c) (n (c)))) (n (c))))) (n (+ v64 (c))))) v64))) (55 (instantiate 54 ((v64 . v0))) ((= (n (+ (n (+ v0 (+ (n (+ (c) (n (c)))) (n (c))))) (n (+ v0 (c))))) v0))) (56 (instantiate 46 ((v0 . v64))) ((= (+ v64 (+ v1 v2)) (+ v2 (+ v1 v64))))) (57 (instantiate 31 ((v0 . v64)(v1 . (+ v1 v2)))) ((= (n (+ (n (+ v64 (+ v1 v2))) (n (+ (+ v1 v2) (n v64))))) (+ v1 v2)))) (58 (paramod 56 (1 1) 57 (1 1 1 1 1)) ((= (n (+ (n (+ v2 (+ v1 v64))) (n (+ (+ v1 v2) (n v64))))) (+ v1 v2)))) (59 (instantiate 3 ((v0 . v1)(v1 . v2)(v2 . (n v64)))) ((= (+ (+ v1 v2) (n v64)) (+ v1 (+ v2 (n v64)))))) (60 (paramod 59 (1 1) 58 (1 1 1 2 1)) ((= (n (+ (n (+ v2 (+ v1 v64))) (n (+ v1 (+ v2 (n v64)))))) (+ v1 v2)))) (61 (instantiate 60 ((v2 . v0)(v64 . v2))) ((= (n (+ (n (+ v0 (+ v1 v2))) (n (+ v1 (+ v0 (n v2)))))) (+ v1 v0)))) (62 (instantiate 2 ((v0 . v65)(v1 . (n v64)))) ((= (+ v65 (n v64)) (+ (n v64) v65)))) (63 (instantiate 31 ((v0 . v64)(v1 . v65))) ((= (n (+ (n (+ v64 v65)) (n (+ v65 (n v64))))) v65))) (64 (paramod 62 (1 1) 63 (1 1 1 2 1)) ((= (n (+ (n (+ v64 v65)) (n (+ (n v64) v65)))) v65))) (65 (instantiate 64 ((v64 . v0)(v65 . v1))) ((= (n (+ (n (+ v0 v1)) (n (+ (n v0) v1)))) v1))) (66 (instantiate 2 ((v0 . (n (+ v64 v65)))(v1 . (n (+ v65 (n v64)))))) ((= (+ (n (+ v64 v65)) (n (+ v65 (n v64)))) (+ (n (+ v65 (n v64))) (n (+ v64 v65)))))) (67 (instantiate 31 ((v0 . v64)(v1 . v65))) ((= (n (+ (n (+ v64 v65)) (n (+ v65 (n v64))))) v65))) (68 (paramod 66 (1 1) 67 (1 1 1)) ((= (n (+ (n (+ v65 (n v64))) (n (+ v64 v65)))) v65))) (69 (instantiate 68 ((v64 . v1)(v65 . v0))) ((= (n (+ (n (+ v0 (n v1))) (n (+ v1 v0)))) v0))) (70 (instantiate 2 ((v0 . (n (+ v64 v65)))(v1 . (n (+ (n v65) v64))))) ((= (+ (n (+ v64 v65)) (n (+ (n v65) v64))) (+ (n (+ (n v65) v64)) (n (+ v64 v65)))))) (71 (instantiate 38 ((v0 . v64)(v1 . v65))) ((= (n (+ (n (+ v64 v65)) (n (+ (n v65) v64)))) v64))) (72 (paramod 70 (1 1) 71 (1 1 1)) ((= (n (+ (n (+ (n v65) v64)) (n (+ v64 v65)))) v64))) (73 (instantiate 72 ((v64 . v1)(v65 . v0))) ((= (n (+ (n (+ (n v0) v1)) (n (+ v1 v0)))) v1))) (74 (instantiate 42 ((v0 . (n (c)))(v1 . (+ (c) (n (c)))))) ((= (n (+ (n (+ (n (c)) (n (+ (c) (n (c)))))) (n (+ (n (c)) (+ (c) (n (c))))))) (n (c))))) (75 (paramod 21 (1 1) 74 (1 1 1 1)) ((= (n (+ (c) (n (+ (n (c)) (+ (c) (n (c))))))) (n (c))))) (76 (instantiate 15 ((v1 . v64))) ((= (+ v64 (+ v2 v0)) (+ v0 (+ v64 v2))))) (77 (instantiate 42 ((v0 . v64)(v1 . (+ v2 v0)))) ((= (n (+ (n (+ v64 (n (+ v2 v0)))) (n (+ v64 (+ v2 v0))))) v64))) (78 (paramod 76 (1 1) 77 (1 1 1 2 1)) ((= (n (+ (n (+ v64 (n (+ v2 v0)))) (n (+ v0 (+ v64 v2))))) v64))) (79 (instantiate 78 ((v0 . v2)(v2 . v1)(v64 . v0))) ((= (n (+ (n (+ v0 (n (+ v1 v2)))) (n (+ v2 (+ v0 v1))))) v0))) (80 (instantiate 2 ((v0 . (n (+ v64 v65)))(v1 . (n (+ (n v64) v65))))) ((= (+ (n (+ v64 v65)) (n (+ (n v64) v65))) (+ (n (+ (n v64) v65)) (n (+ v64 v65)))))) (81 (instantiate 65 ((v0 . v64)(v1 . v65))) ((= (n (+ (n (+ v64 v65)) (n (+ (n v64) v65)))) v65))) (82 (paramod 80 (1 1) 81 (1 1 1)) ((= (n (+ (n (+ (n v64) v65)) (n (+ v64 v65)))) v65))) (83 (instantiate 82 ((v64 . v0)(v65 . v1))) ((= (n (+ (n (+ (n v0) v1)) (n (+ v0 v1)))) v1))) (84 (instantiate 69 ((v0 . (+ (c) v0))(v1 . (c)))) ((= (n (+ (n (+ (+ (c) v0) (n (c)))) (n (+ (c) (+ (c) v0))))) (+ (c) v0)))) (85 (paramod 10 (1 1) 84 (1 1 1 2 1)) ((= (n (+ (n (+ (+ (c) v0) (n (c)))) (n (+ (c) v0)))) (+ (c) v0)))) (86 (instantiate 3 ((v0 . (c))(v1 . v0)(v2 . (n (c))))) ((= (+ (+ (c) v0) (n (c))) (+ (c) (+ v0 (n (c))))))) (87 (paramod 86 (1 1) 85 (1 1 1 1 1)) ((= (n (+ (n (+ (c) (+ v0 (n (c))))) (n (+ (c) v0)))) (+ (c) v0)))) (88 (instantiate 83 ((v0 . (+ (n (c)) (+ (c) (n (c)))))(v1 . (c)))) ((= (n (+ (n (+ (n (+ (n (c)) (+ (c) (n (c))))) (c))) (n (+ (+ (n (c)) (+ (c) (n (c)))) (c))))) (c)))) (89 (paramod 50 (1 1) 88 (1 1 1 1)) ((= (n (+ (n (c)) (n (+ (+ (n (c)) (+ (c) (n (c)))) (c))))) (c)))) (90 (instantiate 3 ((v0 . (n (c)))(v1 . (+ (c) (n (c))))(v2 . (c)))) ((= (+ (+ (n (c)) (+ (c) (n (c)))) (c)) (+ (n (c)) (+ (+ (c) (n (c))) (c)))))) (91 (paramod 90 (1 1) 89 (1 1 1 2 1)) ((= (n (+ (n (c)) (n (+ (n (c)) (+ (+ (c) (n (c))) (c)))))) (c)))) (92 (instantiate 3 ((v0 . (c))(v1 . (n (c)))(v2 . (c)))) ((= (+ (+ (c) (n (c))) (c)) (+ (c) (+ (n (c)) (c)))))) (93 (paramod 92 (1 1) 91 (1 1 1 2 1 2)) ((= (n (+ (n (c)) (n (+ (n (c)) (+ (c) (+ (n (c)) (c))))))) (c)))) (94 (instantiate 19 ((v0 . (n (c))))) ((= (+ (c) (+ (n (c)) (c))) (+ (c) (n (c)))))) (95 (paramod 94 (1 1) 93 (1 1 1 2 1 2)) ((= (n (+ (n (c)) (n (+ (n (c)) (+ (c) (n (c))))))) (c)))) (96 (instantiate 73 ((v0 . (c))(v1 . (n (+ (n (c)) (+ (c) (n (c)))))))) ((= (n (+ (n (+ (n (c)) (n (+ (n (c)) (+ (c) (n (c))))))) (n (+ (n (+ (n (c)) (+ (c) (n (c))))) (c))))) (n (+ (n (c)) (+ (c) (n (c)))))))) (97 (paramod 50 (1 1) 96 (1 1 1 2)) ((= (n (+ (n (+ (n (c)) (n (+ (n (c)) (+ (c) (n (c))))))) (n (c)))) (n (+ (n (c)) (+ (c) (n (c)))))))) (98 (paramod 95 (1 1) 97 (1 1 1 1)) ((= (n (+ (c) (n (c)))) (n (+ (n (c)) (+ (c) (n (c)))))))) (99 (flip 98 (1)) ((= (n (+ (n (c)) (+ (c) (n (c))))) (n (+ (c) (n (c))))))) (100 (paramod 99 (1 1) 75 (1 1 1 2)) ((= (n (+ (c) (n (+ (c) (n (c)))))) (n (c))))) (101 (instantiate 55 ((v0 . (c)))) ((= (n (+ (n (+ (c) (+ (n (+ (c) (n (c)))) (n (c))))) (n (+ (c) (c))))) (c)))) (102 (paramod 5 (1 1) 101 (1 1 1 2 1)) ((= (n (+ (n (+ (c) (+ (n (+ (c) (n (c)))) (n (c))))) (n (c)))) (c)))) (103 (instantiate 79 ((v0 . v64)(v1 . (n (c)))(v2 . (n (+ (c) (n (c))))))) ((= (n (+ (n (+ v64 (n (+ (n (c)) (n (+ (c) (n (c)))))))) (n (+ (n (+ (c) (n (c)))) (+ v64 (n (c))))))) v64))) (104 (paramod 21 (1 1) 103 (1 1 1 1 1 2)) ((= (n (+ (n (+ v64 (c))) (n (+ (n (+ (c) (n (c)))) (+ v64 (n (c))))))) v64))) (105 (instantiate 104 ((v64 . v0))) ((= (n (+ (n (+ v0 (c))) (n (+ (n (+ (c) (n (c)))) (+ v0 (n (c))))))) v0))) (106 (instantiate 87 ((v0 . (n (+ (c) (n (c))))))) ((= (n (+ (n (+ (c) (+ (n (+ (c) (n (c)))) (n (c))))) (n (+ (c) (n (+ (c) (n (c)))))))) (+ (c) (n (+ (c) (n (c)))))))) (107 (paramod 100 (1 1) 106 (1 1 1 2)) ((= (n (+ (n (+ (c) (+ (n (+ (c) (n (c)))) (n (c))))) (n (c)))) (+ (c) (n (+ (c) (n (c)))))))) (108 (paramod 102 (1 1) 107 (1 1)) ((= (c) (+ (c) (n (+ (c) (n (c)))))))) (109 (flip 108 (1)) ((= (+ (c) (n (+ (c) (n (c))))) (c)))) (110 (instantiate 2 ((v0 . (c))(v1 . (n (+ (c) (n (c))))))) ((= (+ (c) (n (+ (c) (n (c))))) (+ (n (+ (c) (n (c)))) (c))))) (111 (paramod 110 (1 1) 109 (1 1)) ((= (+ (n (+ (c) (n (c)))) (c)) (c)))) (112 (instantiate 61 ((v0 . v64)(v1 . (n (+ (c) (n (c)))))(v2 . (c)))) ((= (n (+ (n (+ v64 (+ (n (+ (c) (n (c)))) (c)))) (n (+ (n (+ (c) (n (c)))) (+ v64 (n (c))))))) (+ (n (+ (c) (n (c)))) v64)))) (113 (paramod 111 (1 1) 112 (1 1 1 1 1 2)) ((= (n (+ (n (+ v64 (c))) (n (+ (n (+ (c) (n (c)))) (+ v64 (n (c))))))) (+ (n (+ (c) (n (c)))) v64)))) (114 (instantiate 105 ((v0 . v64))) ((= (n (+ (n (+ v64 (c))) (n (+ (n (+ (c) (n (c)))) (+ v64 (n (c))))))) v64))) (115 (paramod 114 (1 1) 113 (1 1)) ((= v64 (+ (n (+ (c) (n (c)))) v64)))) (116 (flip 115 (1)) ((= (+ (n (+ (c) (n (c)))) v64) v64))) (117 (instantiate 116 ((v64 . v0))) ((= (+ (n (+ (c) (n (c)))) v0) v0))) (118 (instantiate 27 ((v0 . v64)(v1 . (n (+ (c) (n (c)))))(v2 . (c)))) ((= (n (+ (n (+ v64 (+ (n (+ (c) (n (c)))) (c)))) (n (+ v64 (+ (n (+ (c) (n (c)))) (n (c))))))) (+ v64 (n (+ (c) (n (c)))))))) (119 (paramod 111 (1 1) 118 (1 1 1 1 1 2)) ((= (n (+ (n (+ v64 (c))) (n (+ v64 (+ (n (+ (c) (n (c)))) (n (c))))))) (+ v64 (n (+ (c) (n (c)))))))) (120 (instantiate 117 ((v0 . (n (c))))) ((= (+ (n (+ (c) (n (c)))) (n (c))) (n (c))))) (121 (paramod 120 (1 1) 119 (1 1 1 2 1 2)) ((= (n (+ (n (+ v64 (c))) (n (+ v64 (n (c)))))) (+ v64 (n (+ (c) (n (c)))))))) (122 (instantiate 4 ((v0 . v64)(v1 . (c)))) ((= (n (+ (n (+ v64 (c))) (n (+ v64 (n (c)))))) v64))) (123 (paramod 122 (1 1) 121 (1 1)) ((= v64 (+ v64 (n (+ (c) (n (c)))))))) (124 (flip 123 (1)) ((= (+ v64 (n (+ (c) (n (c))))) v64))) (125 (instantiate 124 ((v64 . v0))) ((= (+ v0 (n (+ (c) (n (c))))) v0))) (126 (instantiate 117 ((v0 . (+ (n (+ v65 v66)) (n (+ v65 (n v66))))))) ((= (+ (n (+ (c) (n (c)))) (+ (n (+ v65 v66)) (n (+ v65 (n v66))))) (+ (n (+ v65 v66)) (n (+ v65 (n v66))))))) (127 (instantiate 34 ((v0 . (n (+ (c) (n (c)))))(v1 . v65)(v2 . v66))) ((= (n (+ (n (+ (n (+ (c) (n (c)))) (+ (n (+ v65 v66)) (n (+ v65 (n v66)))))) (n (+ (n (+ (c) (n (c)))) v65)))) (n (+ (c) (n (c))))))) (128 (paramod 126 (1 1) 127 (1 1 1 1 1)) ((= (n (+ (n (+ (n (+ v65 v66)) (n (+ v65 (n v66))))) (n (+ (n (+ (c) (n (c)))) v65)))) (n (+ (c) (n (c))))))) (129 (instantiate 4 ((v0 . v65)(v1 . v66))) ((= (n (+ (n (+ v65 v66)) (n (+ v65 (n v66))))) v65))) (130 (paramod 129 (1 1) 128 (1 1 1 1)) ((= (n (+ v65 (n (+ (n (+ (c) (n (c)))) v65)))) (n (+ (c) (n (c))))))) (131 (instantiate 117 ((v0 . v65))) ((= (+ (n (+ (c) (n (c)))) v65) v65))) (132 (paramod 131 (1 1) 130 (1 1 1 2 1)) ((= (n (+ v65 (n v65))) (n (+ (c) (n (c))))))) (133 (instantiate 132 ((v65 . v0))) ((= (n (+ v0 (n v0))) (n (+ (c) (n (c))))))) (134 (instantiate 133 ((v0 . (n v64)))) ((= (n (+ (n v64) (n (n v64)))) (n (+ (c) (n (c))))))) (135 (instantiate 73 ((v0 . v64)(v1 . (n (n v64))))) ((= (n (+ (n (+ (n v64) (n (n v64)))) (n (+ (n (n v64)) v64)))) (n (n v64))))) (136 (paramod 134 (1 1) 135 (1 1 1 1)) ((= (n (+ (n (+ (c) (n (c)))) (n (+ (n (n v64)) v64)))) (n (n v64))))) (137 (instantiate 117 ((v0 . (n (+ (n (n v64)) v64))))) ((= (+ (n (+ (c) (n (c)))) (n (+ (n (n v64)) v64))) (n (+ (n (n v64)) v64))))) (138 (paramod 137 (1 1) 136 (1 1 1)) ((= (n (n (+ (n (n v64)) v64))) (n (n v64))))) (139 (instantiate 138 ((v64 . v0))) ((= (n (n (+ (n (n v0)) v0))) (n (n v0))))) (140 (instantiate 133 ((v0 . v65))) ((= (n (+ v65 (n v65))) (n (+ (c) (n (c))))))) (141 (instantiate 73 ((v0 . (n v65))(v1 . v65))) ((= (n (+ (n (+ (n (n v65)) v65)) (n (+ v65 (n v65))))) v65))) (142 (paramod 140 (1 1) 141 (1 1 1 2)) ((= (n (+ (n (+ (n (n v65)) v65)) (n (+ (c) (n (c)))))) v65))) (143 (instantiate 125 ((v0 . (n (+ (n (n v65)) v65))))) ((= (+ (n (+ (n (n v65)) v65)) (n (+ (c) (n (c))))) (n (+ (n (n v65)) v65))))) (144 (paramod 143 (1 1) 142 (1 1 1)) ((= (n (n (+ (n (n v65)) v65))) v65))) (145 (instantiate 139 ((v0 . v65))) ((= (n (n (+ (n (n v65)) v65))) (n (n v65))))) (146 (paramod 145 (1 1) 144 (1 1)) ((= (n (n v65)) v65))) (147 (instantiate 146 ((v65 . v0))) ((= (n (n v0)) v0))) (148 (instantiate 147 ((v0 . (+ (n (+ (n v0) v1)) (n (+ v0 v1)))))) ((= (n (n (+ (n (+ (n v0) v1)) (n (+ v0 v1))))) (+ (n (+ (n v0) v1)) (n (+ v0 v1)))))) (149 (paramod 83 (1 1) 148 (1 1 1)) ((= (n v1) (+ (n (+ (n v0) v1)) (n (+ v0 v1)))))) (150 (flip 149 (1)) ((= (+ (n (+ (n v0) v1)) (n (+ v0 v1))) (n v1)))) (151 (instantiate 150 ((v0 . (A))(v1 . (n (B))))) ((= (+ (n (+ (n (A)) (n (B)))) (n (+ (A) (n (B))))) (n (n (B)))))) (152 (paramod 151 (1 1) 52 (1 1 1)) ((not (= (n (n (B))) (B))))) (153 (instantiate 147 ((v0 . (B)))) ((= (n (n (B))) (B)))) (154 (paramod 153 (1 1) 152 (1 1 1)) ((not (= (B) (B))))) (155 (instantiate 1 ((v0 . (B)))) ((= (B) (B)))) (156 (resolve 154 (1) 155 (1)) ()) )