;; ----- Otter 3.0.4, August 1995 ----- ;; The job was started by mccune on gyro, Wed Nov 1 22:04:06 1995 ;; ;;;; -> x=x. ;;;; B^A=A^B, (A^B)^C=A^ (B^C), A^ (A v B)=A -> . ;;;; -> y v (x^ (y^z))=y. ;;;; -> y^ (x v (y v z))=y. ;;;; -> ((x^y) v (y^z)) v y=y. ;;;; -> ((x v y)^ (y v z))^y=y. ;; ;; ----> UNIT CONFLICT at 392.74 sec ----> 24035 [binary,24033.1,2914.1] -> . ;; ( (1 (input) ((= v0 v0))) (2 (input) ((not (= (^ (B) (A)) (^ (A) (B)))) (not (= (^ (^ (A) (B)) (C)) (^ (A) (^ (B) (C))))) (not (= (^ (A) (v (A) (B))) (A))))) (3 (input) ((= (v v0 (^ v1 (^ v0 v2))) v0))) (4 (input) ((= (^ v0 (v v1 (v v0 v2))) v0))) (5 (input) ((= (v (v (^ v0 v1) (^ v1 v2)) v1) v1))) (6 (input) ((= (^ (^ (v v0 v1) (v v1 v2)) v1) v1))) (7 (instantiate 3 ((v0 . v64))) ((= (v v64 (^ v1 (^ v64 v2))) v64))) (8 (instantiate 4 ((v0 . v64)(v1 . v65)(v2 . (^ v1 (^ v64 v2))))) ((= (^ v64 (v v65 (v v64 (^ v1 (^ v64 v2))))) v64))) (9 (paramod 7 (1 1) 8 (1 1 2 2)) ((= (^ v64 (v v65 v64)) v64))) (10 (instantiate 9 ((v64 . v0)(v65 . v1))) ((= (^ v0 (v v1 v0)) v0))) (11 (instantiate 4 ((v0 . v64))) ((= (^ v64 (v v1 (v v64 v2))) v64))) (12 (instantiate 3 ((v0 . v64)(v1 . v65)(v2 . (v v1 (v v64 v2))))) ((= (v v64 (^ v65 (^ v64 (v v1 (v v64 v2))))) v64))) (13 (paramod 11 (1 1) 12 (1 1 2 2)) ((= (v v64 (^ v65 v64)) v64))) (14 (instantiate 13 ((v64 . v0)(v65 . v1))) ((= (v v0 (^ v1 v0)) v0))) (15 (instantiate 3 ((v0 . v65))) ((= (v v65 (^ v1 (^ v65 v2))) v65))) (16 (instantiate 10 ((v0 . (^ v1 (^ v65 v2)))(v1 . v65))) ((= (^ (^ v1 (^ v65 v2)) (v v65 (^ v1 (^ v65 v2)))) (^ v1 (^ v65 v2))))) (17 (paramod 15 (1 1) 16 (1 1 2)) ((= (^ (^ v1 (^ v65 v2)) v65) (^ v1 (^ v65 v2))))) (18 (instantiate 17 ((v1 . v0)(v65 . v1))) ((= (^ (^ v0 (^ v1 v2)) v1) (^ v0 (^ v1 v2))))) (19 (instantiate 10 ((v0 . v65))) ((= (^ v65 (v v1 v65)) v65))) (20 (instantiate 14 ((v0 . (v v1 v65))(v1 . v65))) ((= (v (v v1 v65) (^ v65 (v v1 v65))) (v v1 v65)))) (21 (paramod 19 (1 1) 20 (1 1 2)) ((= (v (v v1 v65) v65) (v v1 v65)))) (22 (instantiate 21 ((v1 . v0)(v65 . v1))) ((= (v (v v0 v1) v1) (v v0 v1)))) (23 (instantiate 4 ((v0 . v65))) ((= (^ v65 (v v1 (v v65 v2))) v65))) (24 (instantiate 14 ((v0 . 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(^ v64 v65))(v1 . v65))) ((= (v (v (^ v64 v65) v65) v65) (v (^ v64 v65) v65)))) (35 (paramod 34 (1 1) 33 (1 1)) ((= (v (^ v64 v65) v65) v65))) (36 (instantiate 35 ((v64 . v0)(v65 . v1))) ((= (v (^ v0 v1) v1) v1))) (37 (instantiate 4 ((v0 . v65))) ((= (^ v65 (v v1 (v v65 v2))) v65))) (38 (instantiate 5 ((v0 . v64)(v1 . v65)(v2 . (v v1 (v v65 v2))))) ((= (v (v (^ v64 v65) (^ v65 (v v1 (v v65 v2)))) v65) v65))) (39 (paramod 37 (1 1) 38 (1 1 1 2)) ((= (v (v (^ v64 v65) v65) v65) v65))) (40 (instantiate 36 ((v0 . v64)(v1 . v65))) ((= (v (^ v64 v65) v65) v65))) (41 (paramod 40 (1 1) 39 (1 1 1)) ((= (v v65 v65) v65))) (42 (instantiate 41 ((v65 . v0))) ((= (v v0 v0) v0))) (43 (instantiate 5 ((v1 . v64))) ((= (v (v (^ v0 v64) (^ v64 v2)) v64) v64))) (44 (instantiate 10 ((v0 . v64)(v1 . 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(A)))) ((= (A) (A)))) (54 (resolve 52 (3) 53 (1)) ((not (= (^ (B) (A)) (^ (A) (B)))) (not (= (^ (^ (A) (B)) (C)) (^ (A) (^ (B) (C))))))) (55 (instantiate 46 ((v0 . (^ v64 v66)))) ((= (^ (^ v64 v66) (^ v64 v66)) (^ v64 v66)))) (56 (instantiate 3 ((v0 . v64)(v1 . (^ v64 v66))(v2 . v66))) ((= (v v64 (^ (^ v64 v66) (^ v64 v66))) v64))) (57 (paramod 55 (1 1) 56 (1 1 2)) ((= (v v64 (^ v64 v66)) v64))) (58 (instantiate 57 ((v64 . v0)(v66 . v1))) ((= (v v0 (^ v0 v1)) v0))) (59 (instantiate 10 ((v0 . v64))) ((= (^ v64 (v v1 v64)) v64))) (60 (instantiate 36 ((v0 . v64)(v1 . (v v1 v64)))) ((= (v (^ v64 (v v1 v64)) (v v1 v64)) (v v1 v64)))) (61 (paramod 59 (1 1) 60 (1 1 1)) ((= (v v64 (v v1 v64)) (v v1 v64)))) (62 (instantiate 61 ((v64 . v0))) ((= (v v0 (v v1 v0)) (v v1 v0)))) (63 (instantiate 5 ((v1 . v65))) ((= (v (v (^ v0 v65) (^ v65 v2)) v65) v65))) (64 (instantiate 50 ((v0 . (v (^ v0 v65) (^ v65 v2)))(v1 . v65))) ((= (^ (v (^ v0 v65) (^ v65 v2)) (v (v (^ v0 v65) (^ v65 v2)) v65)) (v (^ v0 v65) (^ v65 v2))))) (65 (paramod 63 (1 1) 64 (1 1 2)) ((= (^ (v (^ v0 v65) (^ v65 v2)) v65) (v (^ v0 v65) (^ v65 v2))))) (66 (instantiate 65 ((v65 . v1))) ((= (^ (v (^ v0 v1) (^ v1 v2)) v1) (v (^ v0 v1) (^ v1 v2))))) (67 (instantiate 14 ((v0 . v64))) ((= (v v64 (^ v1 v64)) v64))) (68 (instantiate 6 ((v0 . v64)(v1 . (^ v1 v64))(v2 . v66))) ((= (^ (^ (v v64 (^ v1 v64)) (v (^ v1 v64) v66)) (^ v1 v64)) (^ v1 v64)))) (69 (paramod 67 (1 1) 68 (1 1 1 1)) ((= (^ (^ v64 (v (^ v1 v64) v66)) (^ v1 v64)) (^ v1 v64)))) (70 (instantiate 69 ((v64 . v0)(v66 . v2))) ((= (^ (^ v0 (v (^ v1 v0) v2)) (^ v1 v0)) (^ v1 v0)))) (71 (instantiate 42 ((v0 . v66))) ((= (v v66 v66) v66))) (72 (instantiate 6 ((v0 . v64)(v1 . v66)(v2 . v66))) ((= (^ (^ (v v64 v66) (v v66 v66)) v66) v66))) (73 (paramod 71 (1 1) 72 (1 1 1 2)) ((= (^ (^ (v v64 v66) v66) v66) v66))) (74 (instantiate 30 ((v0 . (v v64 v66))(v1 . v66))) ((= (^ (^ (v v64 v66) v66) v66) (^ (v v64 v66) v66)))) (75 (paramod 74 (1 1) 73 (1 1)) ((= (^ (v v64 v66) v66) v66))) (76 (instantiate 75 ((v64 . v0)(v66 . v1))) ((= (^ (v v0 v1) v1) v1))) (77 (instantiate 36 ((v1 . v66))) ((= (v (^ v0 v66) v66) v66))) (78 (instantiate 6 ((v0 . v64)(v1 . (^ v0 v66))(v2 . v66))) ((= (^ (^ (v v64 (^ v0 v66)) (v (^ v0 v66) v66)) (^ v0 v66)) (^ v0 v66)))) (79 (paramod 77 (1 1) 78 (1 1 1 2)) ((= (^ (^ (v v64 (^ v0 v66)) v66) (^ v0 v66)) (^ v0 v66)))) (80 (instantiate 79 ((v0 . v1)(v64 . v0)(v66 . v2))) ((= (^ (^ (v v0 (^ v1 v2)) v2) (^ v1 v2)) (^ v1 v2)))) (81 (instantiate 58 ((v0 . v65))) ((= (v v65 (^ v65 v1)) v65))) (82 (instantiate 10 ((v0 . (^ v65 v1))(v1 . v65))) ((= (^ (^ v65 v1) (v v65 (^ v65 v1))) (^ v65 v1)))) (83 (paramod 81 (1 1) 82 (1 1 2)) ((= (^ (^ v65 v1) v65) (^ v65 v1)))) (84 (instantiate 83 ((v65 . v0))) ((= (^ (^ v0 v1) v0) (^ v0 v1)))) (85 (instantiate 58 ((v0 . v64))) ((= (v v64 (^ v64 v1)) v64))) (86 (instantiate 6 ((v0 . v64)(v1 . (^ v64 v1))(v2 . v66))) ((= (^ (^ (v v64 (^ v64 v1)) (v (^ v64 v1) v66)) (^ v64 v1)) (^ v64 v1)))) (87 (paramod 85 (1 1) 86 (1 1 1 1)) ((= (^ (^ v64 (v (^ v64 v1) v66)) (^ v64 v1)) (^ v64 v1)))) (88 (instantiate 87 ((v64 . v0)(v66 . v2))) ((= (^ (^ v0 (v (^ v0 v1) v2)) (^ v0 v1)) (^ v0 v1)))) (89 (instantiate 14 ((v0 . v64))) ((= (v v64 (^ v1 v64)) v64))) (90 (instantiate 76 ((v0 . v64)(v1 . (^ v1 v64)))) ((= (^ (v v64 (^ v1 v64)) (^ v1 v64)) (^ v1 v64)))) (91 (paramod 89 (1 1) 90 (1 1 1)) ((= (^ v64 (^ v1 v64)) (^ v1 v64)))) (92 (instantiate 91 ((v64 . v0))) ((= (^ v0 (^ v1 v0)) (^ v1 v0)))) (93 (instantiate 58 ((v0 . v65))) ((= (v v65 (^ v65 v1)) v65))) (94 (instantiate 62 ((v0 . (^ v65 v1))(v1 . v65))) ((= (v (^ v65 v1) (v v65 (^ v65 v1))) (v v65 (^ v65 v1))))) (95 (paramod 93 (1 1) 94 (1 1 2)) ((= (v (^ v65 v1) v65) (v v65 (^ v65 v1))))) (96 (instantiate 58 ((v0 . v65)(v1 . v1))) ((= (v v65 (^ v65 v1)) v65))) (97 (paramod 96 (1 1) 95 (1 2)) ((= (v (^ v65 v1) v65) v65))) (98 (instantiate 97 ((v65 . v0))) ((= (v (^ v0 v1) v0) v0))) (99 (instantiate 3 ((v0 . v65))) ((= (v v65 (^ v1 (^ v65 v2))) v65))) (100 (instantiate 62 ((v0 . 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(^ v66 v1))(v2 . v66))) ((= (v (v v64 (v (^ v66 v1) v66)) (^ v66 v1)) (v v64 (v (^ v66 v1) v66))))) (107 (paramod 105 (1 1) 106 (1 1 1 2)) ((= (v (v v64 v66) (^ v66 v1)) (v v64 (v (^ v66 v1) v66))))) (108 (instantiate 98 ((v0 . v66)(v1 . v1))) ((= (v (^ v66 v1) v66) v66))) (109 (paramod 108 (1 1) 107 (1 2 2)) ((= (v (v v64 v66) (^ v66 v1)) (v v64 v66)))) (110 (instantiate 109 ((v1 . v2)(v64 . v0)(v66 . v1))) ((= (v (v v0 v1) (^ v1 v2)) (v v0 v1)))) (111 (instantiate 92 ((v0 . v65))) ((= (^ v65 (^ v1 v65)) (^ v1 v65)))) (112 (instantiate 18 ((v0 . v64)(v1 . v65)(v2 . (^ v1 v65)))) ((= (^ (^ v64 (^ v65 (^ v1 v65))) v65) (^ v64 (^ v65 (^ v1 v65)))))) (113 (paramod 111 (1 1) 112 (1 1 1 2)) ((= (^ (^ v64 (^ v1 v65)) v65) (^ v64 (^ v65 (^ v1 v65)))))) (114 (instantiate 92 ((v0 . v65)(v1 . v1))) ((= (^ v65 (^ v1 v65)) (^ v1 v65)))) (115 (paramod 114 (1 1) 113 (1 2 2)) ((= (^ (^ v64 (^ v1 v65)) v65) (^ v64 (^ v1 v65))))) (116 (instantiate 115 ((v64 . v0)(v65 . v2))) ((= (^ (^ v0 (^ v1 v2)) v2) (^ v0 (^ v1 v2))))) (117 (instantiate 92 ((v0 . v65))) ((= (^ v65 (^ v1 v65)) (^ v1 v65)))) (118 (instantiate 104 ((v0 . v64)(v1 . v65)(v2 . (^ v1 v65)))) ((= (v (^ v64 (^ v65 (^ v1 v65))) v65) v65))) (119 (paramod 117 (1 1) 118 (1 1 1 2)) ((= (v (^ v64 (^ v1 v65)) v65) v65))) (120 (instantiate 119 ((v64 . v0)(v65 . v2))) ((= (v (^ v0 (^ v1 v2)) v2) v2))) (121 (instantiate 84 ((v0 . (^ v65 v66)))) ((= (^ (^ (^ v65 v66) v1) (^ v65 v66)) (^ (^ v65 v66) v1)))) (122 (instantiate 104 ((v0 . (^ (^ v65 v66) v1))(v1 . v65)(v2 . v66))) ((= (v (^ (^ (^ v65 v66) v1) (^ v65 v66)) v65) v65))) (123 (paramod 121 (1 1) 122 (1 1 1)) ((= (v (^ (^ v65 v66) v1) v65) v65))) (124 (instantiate 123 ((v1 . v2)(v65 . v0)(v66 . v1))) ((= (v (^ (^ v0 v1) v2) v0) v0))) (125 (instantiate 84 ((v0 . (^ v65 v66)))) ((= (^ (^ (^ v65 v66) v1) (^ v65 v66)) (^ (^ v65 v66) v1)))) (126 (instantiate 120 ((v0 . (^ (^ v65 v66) v1))(v1 . v65)(v2 . v66))) ((= (v (^ (^ (^ v65 v66) v1) (^ v65 v66)) v66) v66))) (127 (paramod 125 (1 1) 126 (1 1 1)) ((= (v (^ (^ v65 v66) v1) v66) v66))) (128 (instantiate 127 ((v1 . v2)(v65 . v0)(v66 . v1))) ((= (v (^ (^ v0 v1) v2) v1) v1))) (129 (instantiate 76 ((v1 . v65))) ((= (^ (v v0 v65) v65) v65))) (130 (instantiate 124 ((v0 . 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(^ v0 v66))(v2 . v66))) ((= (^ (^ v64 (v (^ (^ v0 v66) v64) v66)) (^ (^ v0 v66) v64)) (^ (^ v0 v66) v64)))) (135 (paramod 133 (1 1) 134 (1 1 1 2)) ((= (^ (^ v64 v66) (^ (^ v0 v66) v64)) (^ (^ v0 v66) v64)))) (136 (instantiate 135 ((v0 . v2)(v64 . v0)(v66 . v1))) ((= (^ (^ v0 v1) (^ (^ v2 v1) v0)) (^ (^ v2 v1) v0)))) (137 (instantiate 98 ((v0 . v66)(v1 . v64))) ((= (v (^ v66 v64) v66) v66))) (138 (instantiate 70 ((v0 . v64)(v1 . v66)(v2 . v66))) ((= (^ (^ v64 (v (^ v66 v64) v66)) (^ v66 v64)) (^ v66 v64)))) (139 (paramod 137 (1 1) 138 (1 1 1 2)) ((= (^ (^ v64 v66) (^ v66 v64)) (^ v66 v64)))) (140 (instantiate 139 ((v64 . v0)(v66 . v1))) ((= (^ (^ v0 v1) (^ v1 v0)) (^ v1 v0)))) (141 (instantiate 110 ((v1 . v65)(v2 . v66))) ((= (v (v v0 v65) (^ v65 v66)) (v v0 v65)))) (142 (instantiate 80 ((v0 . (v v0 v65))(v1 . v65)(v2 . v66))) ((= (^ (^ (v (v v0 v65) (^ v65 v66)) v66) (^ v65 v66)) (^ v65 v66)))) (143 (paramod 141 (1 1) 142 (1 1 1 1)) ((= (^ (^ (v v0 v65) v66) (^ v65 v66)) (^ v65 v66)))) (144 (instantiate 143 ((v65 . v1)(v66 . v2))) ((= (^ (^ (v v0 v1) v2) (^ v1 v2)) (^ v1 v2)))) (145 (instantiate 132 ((v0 . v65)(v1 . v64))) ((= (v (^ v65 v64) (v v2 v65)) (v v2 v65)))) (146 (instantiate 70 ((v0 . v64)(v1 . v65)(v2 . (v v2 v65)))) ((= (^ (^ v64 (v (^ v65 v64) (v v2 v65))) (^ v65 v64)) (^ v65 v64)))) (147 (paramod 145 (1 1) 146 (1 1 1 2)) ((= (^ (^ v64 (v v2 v65)) (^ v65 v64)) (^ v65 v64)))) (148 (instantiate 147 ((v2 . v1)(v64 . v0)(v65 . v2))) ((= (^ (^ v0 (v v1 v2)) (^ v2 v0)) (^ v2 v0)))) (149 (instantiate 104 ((v0 . v64)(v1 . v66))) ((= (v (^ v64 (^ v66 v2)) v66) v66))) (150 (instantiate 88 ((v0 . v64)(v1 . (^ v66 v2))(v2 . v66))) ((= (^ (^ v64 (v (^ v64 (^ v66 v2)) v66)) (^ v64 (^ v66 v2))) (^ v64 (^ v66 v2))))) (151 (paramod 149 (1 1) 150 (1 1 1 2)) ((= (^ (^ v64 v66) (^ v64 (^ v66 v2))) (^ v64 (^ v66 v2))))) (152 (instantiate 151 ((v64 . v0)(v66 . v1))) ((= (^ (^ v0 v1) (^ v0 (^ v1 v2))) (^ v0 (^ v1 v2))))) (153 (instantiate 104 ((v0 . v64)(v1 . (^ v0 v1))(v2 . (^ v1 v0)))) ((= (v (^ v64 (^ (^ v0 v1) (^ v1 v0))) (^ v0 v1)) (^ v0 v1)))) (154 (paramod 140 (1 1) 153 (1 1 1 2)) ((= (v (^ v64 (^ v1 v0)) (^ v0 v1)) (^ v0 v1)))) (155 (instantiate 154 ((v0 . v2)(v64 . v0))) ((= (v (^ v0 (^ v1 v2)) (^ v2 v1)) (^ v2 v1)))) (156 (instantiate 66 ((v0 . v64)(v1 . (^ v0 v1))(v2 . (^ v1 v0)))) ((= (^ (v (^ v64 (^ v0 v1)) (^ (^ v0 v1) (^ v1 v0))) (^ v0 v1)) (v (^ v64 (^ v0 v1)) (^ (^ v0 v1) (^ v1 v0)))))) (157 (paramod 140 (1 1) 156 (1 1 1 2)) ((= (^ (v (^ v64 (^ v0 v1)) (^ v1 v0)) (^ v0 v1)) (v (^ v64 (^ v0 v1)) (^ (^ v0 v1) (^ v1 v0)))))) (158 (instantiate 155 ((v0 . v64)(v1 . v0)(v2 . v1))) ((= (v (^ v64 (^ v0 v1)) (^ v1 v0)) (^ v1 v0)))) (159 (paramod 158 (1 1) 157 (1 1 1)) ((= (^ (^ v1 v0) (^ v0 v1)) (v (^ v64 (^ v0 v1)) (^ (^ v0 v1) (^ v1 v0)))))) (160 (instantiate 140 ((v0 . v1)(v1 . v0))) ((= (^ (^ v1 v0) (^ v0 v1)) (^ v0 v1)))) (161 (paramod 160 (1 1) 159 (1 1)) ((= (^ v0 v1) (v (^ v64 (^ v0 v1)) (^ (^ v0 v1) (^ v1 v0)))))) (162 (paramod 140 (1 1) 161 (1 2 2)) ((= (^ v0 v1) (v (^ v64 (^ v0 v1)) (^ v1 v0))))) (163 (instantiate 155 ((v0 . v64)(v1 . v0)(v2 . v1))) ((= (v (^ v64 (^ v0 v1)) (^ v1 v0)) (^ v1 v0)))) (164 (paramod 163 (1 1) 162 (1 2)) ((= (^ v0 v1) (^ v1 v0)))) (165 (instantiate 164 ((v0 . v65)(v1 . v66))) ((= (^ v65 v66) (^ v66 v65)))) (166 (instantiate 18 ((v0 . v64)(v1 . v65)(v2 . v66))) ((= (^ (^ v64 (^ v65 v66)) v65) (^ v64 (^ v65 v66))))) (167 (paramod 165 (1 1) 166 (1 1 1 2)) ((= (^ (^ v64 (^ v66 v65)) v65) (^ v64 (^ v65 v66))))) (168 (instantiate 116 ((v0 . v64)(v1 . v66)(v2 . v65))) ((= (^ (^ v64 (^ v66 v65)) v65) (^ v64 (^ v66 v65))))) (169 (paramod 168 (1 1) 167 (1 1)) ((= (^ v64 (^ v66 v65)) (^ v64 (^ v65 v66))))) (170 (instantiate 169 ((v64 . v0)(v65 . v2)(v66 . v1))) ((= (^ v0 (^ v1 v2)) (^ v0 (^ v2 v1))))) (171 (instantiate 164 ((v0 . 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(v v2 v65))(v2 . v65))) ((= (^ (^ (^ v66 (v v2 v65)) v65) (^ v65 v66)) (^ (^ v66 (v v2 v65)) v65)))) (204 (paramod 203 (1 1) 202 (1 1)) ((= (^ (^ v66 (v v2 v65)) v65) (^ (^ v66 v65) (^ v66 (v v2 v65)))))) (205 (instantiate 191 ((v0 . v66)(v1 . v65)(v2 . v2))) ((= (^ (^ v66 v65) (^ v66 (v v2 v65))) (^ v65 v66)))) (206 (paramod 205 (1 1) 204 (1 2)) ((= (^ (^ v66 (v v2 v65)) v65) (^ v65 v66)))) (207 (instantiate 206 ((v2 . v1)(v65 . v2)(v66 . v0))) ((= (^ (^ v0 (v v1 v2)) v2) (^ v2 v0)))) (208 (instantiate 183 ((v0 . v66)(v1 . v65))) ((= (^ (^ v66 v65) (^ (v v2 v65) v66)) (^ v65 v66)))) (209 (instantiate 136 ((v0 . (^ (v v2 v65) v66))(v1 . v65)(v2 . v66))) ((= (^ (^ (^ (v v2 v65) v66) v65) (^ (^ v66 v65) (^ (v v2 v65) v66))) (^ (^ v66 v65) (^ (v v2 v65) v66))))) (210 (paramod 208 (1 1) 209 (1 1 2)) ((= (^ (^ (^ (v v2 v65) v66) v65) (^ v65 v66)) (^ (^ v66 v65) (^ (v v2 v65) v66))))) (211 (instantiate 199 ((v0 . (v v2 v65))(v1 . v66)(v2 . v65))) ((= (^ (^ (^ (v v2 v65) v66) v65) (^ v65 v66)) (^ (^ (v v2 v65) v66) v65)))) (212 (paramod 211 (1 1) 210 (1 1)) ((= (^ (^ (v v2 v65) v66) v65) (^ (^ v66 v65) (^ (v v2 v65) v66))))) (213 (instantiate 183 ((v0 . v66)(v1 . v65)(v2 . v2))) ((= (^ (^ v66 v65) (^ (v v2 v65) v66)) (^ v65 v66)))) (214 (paramod 213 (1 1) 212 (1 2)) ((= (^ (^ (v v2 v65) v66) v65) (^ v65 v66)))) (215 (instantiate 214 ((v2 . v0)(v65 . v1)(v66 . v2))) ((= (^ (^ (v v0 v1) v2) v1) (^ v1 v2)))) (216 (instantiate 84 ((v0 . (v v65 v66)))) ((= (^ (^ (v v65 v66) v1) (v v65 v66)) (^ (v v65 v66) v1)))) (217 (instantiate 207 ((v0 . (^ (v v65 v66) v1))(v1 . v65)(v2 . v66))) ((= (^ (^ (^ (v v65 v66) v1) (v v65 v66)) v66) (^ v66 (^ (v v65 v66) v1))))) (218 (paramod 216 (1 1) 217 (1 1 1)) ((= (^ (^ (v v65 v66) v1) v66) (^ v66 (^ (v v65 v66) v1))))) (219 (instantiate 215 ((v0 . v65)(v1 . v66)(v2 . v1))) ((= (^ (^ (v v65 v66) v1) v66) (^ v66 v1)))) (220 (paramod 219 (1 1) 218 (1 1)) ((= (^ v66 v1) (^ v66 (^ (v v65 v66) v1))))) (221 (flip 220 (1)) ((= (^ v66 (^ (v v65 v66) v1)) (^ v66 v1)))) (222 (instantiate 221 ((v1 . v2)(v65 . v1)(v66 . v0))) ((= (^ v0 (^ (v v1 v0) v2)) (^ v0 v2)))) (223 (instantiate 58 ((v0 . v65))) ((= (v v65 (^ v65 v1)) v65))) (224 (instantiate 222 ((v0 . (^ v65 v1))(v1 . v65)(v2 . v66))) ((= (^ (^ v65 v1) (^ (v v65 (^ v65 v1)) v66)) (^ (^ v65 v1) v66)))) (225 (paramod 223 (1 1) 224 (1 1 2 1)) ((= (^ (^ v65 v1) (^ v65 v66)) (^ (^ v65 v1) v66)))) (226 (instantiate 225 ((v65 . v0)(v66 . v2))) ((= (^ (^ v0 v1) (^ v0 v2)) (^ (^ v0 v1) v2)))) (227 (instantiate 14 ((v0 . v65))) ((= (v v65 (^ v1 v65)) v65))) (228 (instantiate 222 ((v0 . (^ v1 v65))(v1 . v65)(v2 . v66))) ((= (^ (^ v1 v65) (^ (v v65 (^ v1 v65)) v66)) (^ (^ v1 v65) v66)))) (229 (paramod 227 (1 1) 228 (1 1 2 1)) ((= (^ (^ v1 v65) (^ v65 v66)) (^ (^ v1 v65) v66)))) (230 (instantiate 229 ((v1 . v0)(v65 . v1)(v66 . v2))) ((= (^ (^ v0 v1) (^ v1 v2)) (^ (^ v0 v1) v2)))) (231 (instantiate 226 ((v0 . v0)(v1 . v1)(v2 . (^ v1 v2)))) ((= (^ (^ v0 v1) (^ v0 (^ v1 v2))) (^ (^ v0 v1) (^ v1 v2))))) (232 (paramod 231 (1 1) 152 (1 1)) ((= (^ (^ v0 v1) (^ v1 v2)) (^ v0 (^ v1 v2))))) (233 (paramod 230 (1 1) 232 (1 1)) ((= (^ (^ v0 v1) v2) (^ v0 (^ v1 v2))))) (234 (instantiate 233 ((v0 . (A))(v1 . (B))(v2 . (C)))) ((= (^ (^ (A) (B)) (C)) (^ (A) (^ (B) (C)))))) (235 (resolve 174 (1) 234 (1)) ()) )