Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
Logic Progr 19030 pair #381920230
details
property
value
status
complete
benchmark
parse.pl
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n072.star.cs.uiowa.edu
space
BCGGV05
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
2.56773304939 seconds
cpu usage
7.149843342
max memory
6.4421888E8
stage attributes
key
value
output-size
36808
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.pl /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.pl # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Left Termination of the query pattern parse(g,a) w.r.t. the given Prolog program could successfully be proven: (0) Prolog (1) PrologToPiTRSProof [SOUND, 0 ms] (2) PiTRS (3) DependencyPairsProof [EQUIVALENT, 0 ms] (4) PiDP (5) DependencyGraphProof [EQUIVALENT, 6 ms] (6) AND (7) PiDP (8) UsableRulesProof [EQUIVALENT, 0 ms] (9) PiDP (10) PiDPToQDPProof [SOUND, 0 ms] (11) QDP (12) QDPSizeChangeProof [EQUIVALENT, 0 ms] (13) YES (14) PiDP (15) UsableRulesProof [EQUIVALENT, 0 ms] (16) PiDP (17) PiDPToQDPProof [SOUND, 0 ms] (18) QDP (19) QDPSizeChangeProof [EQUIVALENT, 0 ms] (20) YES (21) PiDP (22) UsableRulesProof [EQUIVALENT, 0 ms] (23) PiDP (24) PiDPToQDPProof [SOUND, 0 ms] (25) QDP (26) MRRProof [EQUIVALENT, 10 ms] (27) QDP (28) PisEmptyProof [EQUIVALENT, 0 ms] (29) YES ---------------------------------------- (0) Obligation: Clauses: parse(Xs, T) :- ','(app(As, .(a, .(s(A, B, C), .(b, Bs))), Xs), ','(app(As, .(s(a, s(A, B, C), b), Bs), Ys), parse(Ys, T))). parse(Xs, T) :- ','(app(As, .(a, .(s(A, B), .(b, Bs))), Xs), ','(app(As, .(s(a, s(A, B), b), Bs), Ys), parse(Ys, T))). parse(Xs, T) :- ','(app(As, .(a, .(b, Bs)), Xs), ','(app(As, .(s(a, b), Bs), Ys), parse(Ys, T))). parse(.(s(A, B), []), s(A, B)). parse(.(s(A, B, C), []), s(A, B, C)). app([], X, X). app(.(X, Xs), Ys, .(X, Zs)) :- app(Xs, Ys, Zs). Query: parse(g,a) ---------------------------------------- (1) PrologToPiTRSProof (SOUND) We use the technique of [TOCL09]. With regard to the inferred argument filtering the predicates were used in the following modes: parse_in_2: (b,f) app_in_3: (f,f,b) (b,b,f) Transforming Prolog into the following Term Rewriting System: Pi-finite rewrite system: The TRS R consists of the following rules: parse_in_ga(Xs, T) -> U1_ga(Xs, T, app_in_aag(As, .(a, .(s(A, B, C), .(b, Bs))), Xs)) app_in_aag([], X, X) -> app_out_aag([], X, X) app_in_aag(.(X, Xs), Ys, .(X, Zs)) -> U10_aag(X, Xs, Ys, Zs, app_in_aag(Xs, Ys, Zs)) U10_aag(X, Xs, Ys, Zs, app_out_aag(Xs, Ys, Zs)) -> app_out_aag(.(X, Xs), Ys, .(X, Zs)) U1_ga(Xs, T, app_out_aag(As, .(a, .(s(A, B, C), .(b, Bs))), Xs)) -> U2_ga(Xs, T, app_in_gga(As, .(s(a, s(A, B, C), b), Bs), Ys)) app_in_gga([], X, X) -> app_out_gga([], X, X) app_in_gga(.(X, Xs), Ys, .(X, Zs)) -> U10_gga(X, Xs, Ys, Zs, app_in_gga(Xs, Ys, Zs)) U10_gga(X, Xs, Ys, Zs, app_out_gga(Xs, Ys, Zs)) -> app_out_gga(.(X, Xs), Ys, .(X, Zs)) U2_ga(Xs, T, app_out_gga(As, .(s(a, s(A, B, C), b), Bs), Ys)) -> U3_ga(Xs, T, parse_in_ga(Ys, T)) parse_in_ga(Xs, T) -> U4_ga(Xs, T, app_in_aag(As, .(a, .(s(A, B), .(b, Bs))), Xs)) U4_ga(Xs, T, app_out_aag(As, .(a, .(s(A, B), .(b, Bs))), Xs)) -> U5_ga(Xs, T, app_in_gga(As, .(s(a, s(A, B), b), Bs), Ys)) U5_ga(Xs, T, app_out_gga(As, .(s(a, s(A, B), b), Bs), Ys)) -> U6_ga(Xs, T, parse_in_ga(Ys, T)) parse_in_ga(Xs, T) -> U7_ga(Xs, T, app_in_aag(As, .(a, .(b, Bs)), Xs)) U7_ga(Xs, T, app_out_aag(As, .(a, .(b, Bs)), Xs)) -> U8_ga(Xs, T, app_in_gga(As, .(s(a, b), Bs), Ys)) U8_ga(Xs, T, app_out_gga(As, .(s(a, b), Bs), Ys)) -> U9_ga(Xs, T, parse_in_ga(Ys, T)) parse_in_ga(.(s(A, B), []), s(A, B)) -> parse_out_ga(.(s(A, B), []), s(A, B)) parse_in_ga(.(s(A, B, C), []), s(A, B, C)) -> parse_out_ga(.(s(A, B, C), []), s(A, B, C)) U9_ga(Xs, T, parse_out_ga(Ys, T)) -> parse_out_ga(Xs, T) U6_ga(Xs, T, parse_out_ga(Ys, T)) -> parse_out_ga(Xs, T) U3_ga(Xs, T, parse_out_ga(Ys, T)) -> parse_out_ga(Xs, T)
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to Logic Progr 19030