diff -r b0ff69f0a248 -r 39f73a59e855 src/HOL/SMT/Examples/cert/z3_nat_arith_07 --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/src/HOL/SMT/Examples/cert/z3_nat_arith_07 Tue Oct 20 10:11:30 2009 +0200 @@ -0,0 +1,19 @@ +(benchmark Isabelle +:extrasorts ( T1 T2) +:extrafuns ( + (uf_1 Int T1) + (uf_2 T1 Int) + (uf_5 T1) + ) +:extrapreds ( + (up_3 T1) + (up_4 T1 T1) + ) +:assumption (forall (?x1 T1) (= (uf_1 (uf_2 ?x1)) ?x1)) +:assumption (forall (?x2 Int) (implies (<= 0 ?x2) (= (uf_2 (uf_1 ?x2)) ?x2))) +:assumption (forall (?x3 Int) (implies (< ?x3 0) (= (uf_2 (uf_1 ?x3)) 0))) +:assumption (forall (?x4 T1) (iff (up_3 ?x4) (and (< 1 (uf_2 ?x4)) (forall (?x5 T1) (implies (up_4 ?x5 ?x4) (or (= ?x5 (uf_1 1)) (= ?x5 ?x4))))))) +:assumption (up_3 (uf_1 (+ (uf_2 (uf_1 (* 4 (uf_2 uf_5)))) 1))) +:assumption (not (<= 1 (uf_2 uf_5))) +:formula true +)