12 \ (Q(x',y) | ~Q(y,z') | S(x',x'))"; |
12 \ (Q(x',y) | ~Q(y,z') | S(x',x'))"; |
13 |
13 |
14 |
14 |
15 writeln"Problem 47 Schubert's Steamroller"; |
15 writeln"Problem 47 Schubert's Steamroller"; |
16 goal HOL.thy |
16 goal HOL.thy |
17 "(! x. P1(x) --> P0(x)) & (? x.P1(x)) & \ |
17 "(! x. P1(x) --> P0(x)) & (? x.P1(x)) & \ |
18 \ (! x. P2(x) --> P0(x)) & (? x.P2(x)) & \ |
18 \ (! x. P2(x) --> P0(x)) & (? x.P2(x)) & \ |
19 \ (! x. P3(x) --> P0(x)) & (? x.P3(x)) & \ |
19 \ (! x. P3(x) --> P0(x)) & (? x.P3(x)) & \ |
20 \ (! x. P4(x) --> P0(x)) & (? x.P4(x)) & \ |
20 \ (! x. P4(x) --> P0(x)) & (? x.P4(x)) & \ |
21 \ (! x. P5(x) --> P0(x)) & (? x.P5(x)) & \ |
21 \ (! x. P5(x) --> P0(x)) & (? x.P5(x)) & \ |
22 \ (! x. Q1(x) --> Q0(x)) & (? x.Q1(x)) & \ |
22 \ (! x. Q1(x) --> Q0(x)) & (? x.Q1(x)) & \ |
23 \ (! x. P0(x) --> ((! y.Q0(y)-->R(x,y)) | \ |
23 \ (! x. P0(x) --> ((! y.Q0(y)-->R(x,y)) | \ |
24 \ (! y.P0(y) & S(y,x) & \ |
24 \ (! y.P0(y) & S(y,x) & \ |
25 \ (? z.Q0(z)&R(y,z)) --> R(x,y)))) & \ |
25 \ (? z.Q0(z)&R(y,z)) --> R(x,y)))) & \ |
26 \ (! x y. P3(y) & (P5(x)|P4(x)) --> S(x,y)) & \ |
26 \ (! x y. P3(y) & (P5(x)|P4(x)) --> S(x,y)) & \ |
27 \ (! x y. P3(x) & P2(y) --> S(x,y)) & \ |
27 \ (! x y. P3(x) & P2(y) --> S(x,y)) & \ |
28 \ (! x y. P2(x) & P1(y) --> S(x,y)) & \ |
28 \ (! x y. P2(x) & P1(y) --> S(x,y)) & \ |
29 \ (! x y. P1(x) & (P2(y)|Q1(y)) --> ~R(x,y)) & \ |
29 \ (! x y. P1(x) & (P2(y)|Q1(y)) --> ~R(x,y)) & \ |
30 \ (! x y. P3(x) & P4(y) --> R(x,y)) & \ |
30 \ (! x y. P3(x) & P4(y) --> R(x,y)) & \ |
31 \ (! x y. P3(x) & P5(y) --> ~R(x,y)) & \ |
31 \ (! x y. P3(x) & P5(y) --> ~R(x,y)) & \ |
32 \ (! x. (P4(x)|P5(x)) --> (? y.Q0(y) & R(x,y))) \ |
32 \ (! x. (P4(x)|P5(x)) --> (? y.Q0(y) & R(x,y))) \ |
33 \ --> (? x y. P0(x) & P0(y) & (? z. Q1(z) & R(y,z) & R(x,y)))"; |
33 \ --> (? x y. P0(x) & P0(y) & (? z. Q1(z) & R(y,z) & R(x,y)))"; |
34 |
34 |
35 |
35 |
36 writeln"Problem 55"; |
36 writeln"Problem 55"; |
37 |
37 |