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dll_entails_node_lsrev.sb.smt2
63 lines (49 loc) · 1.15 KB
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dll_entails_node_lsrev.sb.smt2
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(set-logic SHID)
(set-info :source | Songbird - https://songbird-prover.github.io/ |)
(set-info :smt-lib-version 2)
(set-info :category "crafted")
(set-info :status unsat)
;; singleton heap
(declare-sort Refnode 0)
(declare-datatypes
((node 0))
(((c_node (next Refnode) (prev Refnode)))))
(declare-heap (Refnode node))
;; heap predicates
(define-fun-rec dll ((hd_2 Refnode) (p_3 Refnode) (tl_4 Refnode) (n_5 Refnode)) Bool
(or
(and
(pto hd_2 (c_node n_5 p_3))
(= hd_2 tl_4))
(exists
((x_6 Refnode))
(sep
(pto hd_2 (c_node x_6 p_3))
(dll x_6 hd_2 tl_4 n_5)))))
;; heap predicates
(define-fun-rec lsrev ((x_7 Refnode) (y_8 Refnode)) Bool
(or
(and
(_ emp Refnode node)
(= x_7 y_8))
(exists
((anon_9 Refnode) (u_10 Refnode))
(sep
(pto u_10 (c_node y_8 anon_9))
(lsrev x_7 u_10)))))
(check-sat)
;; entailment: dll(x,y,z,t) |- (exists u. x->node{u,y} * lsrev(u,t))
(declare-const x Refnode)
(declare-const y Refnode)
(declare-const z Refnode)
(declare-const t Refnode)
(assert
(dll x y z t))
(assert
(not
(exists
((u Refnode))
(sep
(pto x (c_node u y))
(lsrev u t)))))
(check-sat)