;; ----- Otter 3.0.4, August 1995 ----- ;; The job was started by mccune on gyro, Sun Feb 11 18:48:46 1996 ;; ;;;; x=x. ;;;; x^x=x. ;;;; x^y=y^x. ;;;; ((x v z)^ (y v z))^z=z. ;;;; x v x=x. ;;;; x v y=y v x. ;;;; ((x^z) v (y^z)) v z=z. ;;;; x*x=x. ;;;; x*y=y*x. ;;;; ((x v z)* (y v z))*z=z. ;;;; ((x*z) v (y*z)) v z=z. ;;;; A^B!=A*B. ;; ;; ----> UNIT CONFLICT at 13.99 sec ----> 1473 [binary,1471.1,19.1] $F. ;; ( (1 (input) ((= (^ v0 v0) v0))) (2 (input) ((= (^ v0 v1) (^ v1 v0)))) (3 (input) ((= (^ (^ (v v0 v1) (v v2 v1)) v1) v1))) (4 (input) ((= (v v0 v0) v0))) (5 (input) ((= (v v0 v1) (v v1 v0)))) (6 (input) ((= (v (v (^ v0 v1) (^ v2 v1)) v1) v1))) (7 (input) ((= (* v0 v0) v0))) (8 (input) ((= (* v0 v1) (* v1 v0)))) (9 (input) ((= (* (* (v v0 v1) (v v2 v1)) v1) v1))) (10 (input) ((= (v (v (* v0 v1) (* v2 v1)) v1) v1))) (11 (input) ((not (= (^ (A) (B)) (* (A) (B)))))) (12 (instantiate 1 ((v0 . (v v66 v65)))) ((= (^ (v v66 v65) (v v66 v65)) (v v66 v65)))) (13 (instantiate 3 ((v0 . v66)(v1 . v65)(v2 . v66))) ((= (^ (^ (v v66 v65) (v v66 v65)) v65) v65))) (14 (paramod 12 (1 1) 13 (1 1 1)) ((= (^ (v v66 v65) v65) v65))) (15 (instantiate 14 ((v65 . v1)(v66 . v0))) ((= (^ (v v0 v1) v1) v1))) (16 (instantiate 5 ((v0 . v64)(v1 . v65))) ((= (v v64 v65) (v v65 v64)))) (17 (instantiate 15 ((v0 . v64)(v1 . v65))) ((= (^ (v v64 v65) v65) v65))) (18 (paramod 16 (1 1) 17 (1 1 1)) ((= (^ (v v65 v64) v65) v65))) (19 (instantiate 18 ((v64 . v1)(v65 . v0))) ((= (^ (v v0 v1) v0) v0))) (20 (instantiate 2 ((v0 . (v v64 v65))(v1 . v65))) ((= (^ (v v64 v65) v65) (^ v65 (v v64 v65))))) (21 (instantiate 15 ((v0 . v64)(v1 . v65))) ((= (^ (v v64 v65) v65) v65))) (22 (paramod 20 (1 1) 21 (1 1)) ((= (^ v65 (v v64 v65)) v65))) (23 (instantiate 22 ((v64 . v1)(v65 . v0))) ((= (^ v0 (v v1 v0)) v0))) (24 (instantiate 4 ((v0 . (^ v66 v65)))) ((= (v (^ v66 v65) (^ v66 v65)) (^ v66 v65)))) (25 (instantiate 6 ((v0 . v66)(v1 . v65)(v2 . v66))) ((= (v (v (^ v66 v65) (^ v66 v65)) v65) v65))) (26 (paramod 24 (1 1) 25 (1 1 1)) ((= (v (^ v66 v65) v65) v65))) (27 (instantiate 26 ((v65 . v1)(v66 . v0))) ((= (v (^ v0 v1) v1) v1))) (28 (instantiate 2 ((v0 . (v v64 v65))(v1 . v64))) ((= (^ (v v64 v65) v64) (^ v64 (v v64 v65))))) (29 (instantiate 19 ((v0 . v64)(v1 . v65))) ((= (^ (v v64 v65) v64) v64))) (30 (paramod 28 (1 1) 29 (1 1)) ((= (^ v64 (v v64 v65)) v64))) (31 (instantiate 30 ((v64 . v0)(v65 . v1))) ((= (^ v0 (v v0 v1)) v0))) (32 (instantiate 2 ((v0 . v64)(v1 . v65))) ((= (^ v64 v65) (^ v65 v64)))) (33 (instantiate 27 ((v0 . v64)(v1 . v65))) ((= (v (^ v64 v65) v65) v65))) (34 (paramod 32 (1 1) 33 (1 1 1)) ((= (v (^ v65 v64) v65) v65))) (35 (instantiate 34 ((v64 . v1)(v65 . v0))) ((= (v (^ v0 v1) v0) v0))) (36 (instantiate 5 ((v0 . (^ v64 v65))(v1 . v65))) ((= (v (^ v64 v65) v65) (v v65 (^ v64 v65))))) (37 (instantiate 27 ((v0 . v64)(v1 . v65))) ((= (v (^ v64 v65) v65) v65))) (38 (paramod 36 (1 1) 37 (1 1)) ((= (v v65 (^ v64 v65)) v65))) (39 (instantiate 38 ((v64 . v1)(v65 . v0))) ((= (v v0 (^ v1 v0)) v0))) (40 (instantiate 7 ((v0 . (v v66 v65)))) ((= (* (v v66 v65) (v v66 v65)) (v v66 v65)))) (41 (instantiate 9 ((v0 . v66)(v1 . v65)(v2 . v66))) ((= (* (* (v v66 v65) (v v66 v65)) v65) v65))) (42 (paramod 40 (1 1) 41 (1 1 1)) ((= (* (v v66 v65) v65) v65))) (43 (instantiate 42 ((v65 . v1)(v66 . v0))) ((= (* (v v0 v1) v1) v1))) (44 (instantiate 5 ((v0 . (^ v64 v65))(v1 . v64))) ((= (v (^ v64 v65) v64) (v v64 (^ v64 v65))))) (45 (instantiate 35 ((v0 . v64)(v1 . v65))) ((= (v (^ v64 v65) v64) v64))) (46 (paramod 44 (1 1) 45 (1 1)) ((= (v v64 (^ v64 v65)) v64))) (47 (instantiate 46 ((v64 . v0)(v65 . v1))) ((= (v v0 (^ v0 v1)) v0))) (48 (instantiate 31 ((v0 . v65))) ((= (^ v65 (v v65 v1)) v65))) (49 (instantiate 39 ((v0 . (v v65 v1))(v1 . v65))) ((= (v (v v65 v1) (^ v65 (v v65 v1))) (v v65 v1)))) (50 (paramod 48 (1 1) 49 (1 1 2)) ((= (v (v v65 v1) v65) (v v65 v1)))) (51 (instantiate 50 ((v65 . v0))) ((= (v (v v0 v1) v0) (v v0 v1)))) (52 (instantiate 39 ((v0 . v66))) ((= (v v66 (^ v1 v66)) v66))) (53 (instantiate 9 ((v0 . v64)(v1 . (^ v1 v66))(v2 . v66))) ((= (* (* (v v64 (^ v1 v66)) (v v66 (^ v1 v66))) (^ v1 v66)) (^ v1 v66)))) (54 (paramod 52 (1 1) 53 (1 1 1 2)) ((= (* (* (v v64 (^ v1 v66)) v66) (^ v1 v66)) (^ v1 v66)))) (55 (instantiate 54 ((v64 . v0)(v66 . v2))) ((= (* (* (v v0 (^ v1 v2)) v2) (^ v1 v2)) (^ v1 v2)))) (56 (instantiate 43 ((v1 . v65))) ((= (* (v v0 v65) v65) v65))) (57 (instantiate 10 ((v0 . (v v0 v65))(v1 . v65)(v2 . v66))) ((= (v (v (* (v v0 v65) v65) (* v66 v65)) v65) v65))) (58 (paramod 56 (1 1) 57 (1 1 1 1)) ((= (v (v v65 (* v66 v65)) v65) v65))) (59 (instantiate 51 ((v0 . v65)(v1 . (* v66 v65)))) ((= (v (v v65 (* v66 v65)) v65) (v v65 (* v66 v65))))) (60 (paramod 59 (1 1) 58 (1 1)) ((= (v v65 (* v66 v65)) v65))) (61 (instantiate 60 ((v65 . v0)(v66 . v1))) ((= (v v0 (* v1 v0)) v0))) (62 (instantiate 8 ((v0 . v65)(v1 . v64))) ((= (* v65 v64) (* v64 v65)))) (63 (instantiate 61 ((v0 . v64)(v1 . v65))) ((= (v v64 (* v65 v64)) v64))) (64 (paramod 62 (1 1) 63 (1 1 2)) ((= (v v64 (* v64 v65)) v64))) (65 (instantiate 64 ((v64 . v0)(v65 . v1))) ((= (v v0 (* v0 v1)) v0))) (66 (instantiate 61 ((v0 . v66))) ((= (v v66 (* v1 v66)) v66))) (67 (instantiate 3 ((v0 . v64)(v1 . (* v1 v66))(v2 . v66))) ((= (^ (^ (v v64 (* v1 v66)) (v v66 (* v1 v66))) (* v1 v66)) (* v1 v66)))) (68 (paramod 66 (1 1) 67 (1 1 1 2)) ((= (^ (^ (v v64 (* v1 v66)) v66) (* v1 v66)) (* v1 v66)))) (69 (instantiate 68 ((v64 . v0)(v66 . v2))) ((= (^ (^ (v v0 (* v1 v2)) v2) (* v1 v2)) (* v1 v2)))) (70 (instantiate 65 ((v0 . v65))) ((= (v v65 (* v65 v1)) v65))) (71 (instantiate 23 ((v0 . (* v65 v1))(v1 . v65))) ((= (^ (* v65 v1) (v v65 (* v65 v1))) (* v65 v1)))) (72 (paramod 70 (1 1) 71 (1 1 2)) ((= (^ (* v65 v1) v65) (* v65 v1)))) (73 (instantiate 72 ((v65 . v0))) ((= (^ (* v0 v1) v0) (* v0 v1)))) (74 (instantiate 47 ((v0 . v65)(v1 . v66))) ((= (v v65 (^ v65 v66)) v65))) (75 (instantiate 55 ((v0 . v65)(v1 . v65)(v2 . v66))) ((= (* (* (v v65 (^ v65 v66)) v66) (^ v65 v66)) (^ v65 v66)))) (76 (paramod 74 (1 1) 75 (1 1 1 1)) ((= (* (* v65 v66) (^ v65 v66)) (^ v65 v66)))) (77 (instantiate 76 ((v65 . v0)(v66 . v1))) ((= (* (* v0 v1) (^ v0 v1)) (^ v0 v1)))) (78 (instantiate 73 ((v0 . (* v0 v1))(v1 . (^ v0 v1)))) ((= (^ (* (* v0 v1) (^ v0 v1)) (* v0 v1)) (* (* v0 v1) (^ v0 v1))))) (79 (paramod 77 (1 1) 78 (1 1 1)) ((= (^ (^ v0 v1) (* v0 v1)) (* (* v0 v1) (^ v0 v1))))) (80 (paramod 77 (1 1) 79 (1 2)) ((= (^ (^ v0 v1) (* v0 v1)) (^ v0 v1)))) (81 (instantiate 65 ((v0 . v65)(v1 . v66))) ((= (v v65 (* v65 v66)) v65))) (82 (instantiate 69 ((v0 . v65)(v1 . v65)(v2 . v66))) ((= (^ (^ (v v65 (* v65 v66)) v66) (* v65 v66)) (* v65 v66)))) (83 (paramod 81 (1 1) 82 (1 1 1 1)) ((= (^ (^ v65 v66) (* v65 v66)) (* v65 v66)))) (84 (instantiate 80 ((v0 . v65)(v1 . v66))) ((= (^ (^ v65 v66) (* v65 v66)) (^ v65 v66)))) (85 (paramod 84 (1 1) 83 (1 1)) ((= (^ v65 v66) (* v65 v66)))) (86 (instantiate 85 ((v65 . v0)(v66 . v1))) ((= (^ v0 v1) (* v0 v1)))) (87 (instantiate 86 ((v0 . (A))(v1 . (B)))) ((= (^ (A) (B)) (* (A) (B))))) (88 (resolve 11 (1) 87 (1)) ()) )