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Logic Progr 19030 pair #381919956
details
property
value
status
complete
benchmark
p1_04.pl
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n055.star.cs.uiowa.edu
space
Hett
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.74060702324 seconds
cpu usage
4.032759091
max memory
2.77504E8
stage attributes
key
value
output-size
8823
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Left Termination of the query pattern my_length(g,a) w.r.t. the given Prolog program could successfully be proven: (0) Prolog (1) UndefinedPredicateHandlerProof [SOUND, 0 ms] (2) Prolog (3) PrologToPiTRSProof [SOUND, 4 ms] (4) PiTRS (5) DependencyPairsProof [EQUIVALENT, 0 ms] (6) PiDP (7) DependencyGraphProof [EQUIVALENT, 0 ms] (8) PiDP (9) UsableRulesProof [EQUIVALENT, 0 ms] (10) PiDP (11) PiDPToQDPProof [SOUND, 0 ms] (12) QDP (13) QDPSizeChangeProof [EQUIVALENT, 0 ms] (14) YES ---------------------------------------- (0) Obligation: Clauses: my_length([], 0). my_length(.(X1, L), N) :- ','(my_length(L, N1), is(N, +(N1, 1))). Query: my_length(g,a) ---------------------------------------- (1) UndefinedPredicateHandlerProof (SOUND) Added facts for all undefined predicates [PROLOG]. ---------------------------------------- (2) Obligation: Clauses: my_length([], 0). my_length(.(X1, L), N) :- ','(my_length(L, N1), is(N, +(N1, 1))). is(X0, X1). Query: my_length(g,a) ---------------------------------------- (3) PrologToPiTRSProof (SOUND) We use the technique of [TOCL09]. With regard to the inferred argument filtering the predicates were used in the following modes: my_length_in_2: (b,f) Transforming Prolog into the following Term Rewriting System: Pi-finite rewrite system: The TRS R consists of the following rules: my_length_in_ga([], 0) -> my_length_out_ga([], 0) my_length_in_ga(.(X1, L), N) -> U1_ga(X1, L, N, my_length_in_ga(L, N1)) U1_ga(X1, L, N, my_length_out_ga(L, N1)) -> U2_ga(X1, L, N, N1, is_in_ag(N, +(N1, 1))) is_in_ag(X0, X1) -> is_out_ag(X0, X1) U2_ga(X1, L, N, N1, is_out_ag(N, +(N1, 1))) -> my_length_out_ga(.(X1, L), N) The argument filtering Pi contains the following mapping: my_length_in_ga(x1, x2) = my_length_in_ga(x1) [] = [] my_length_out_ga(x1, x2) = my_length_out_ga .(x1, x2) = .(x1, x2) U1_ga(x1, x2, x3, x4) = U1_ga(x4) U2_ga(x1, x2, x3, x4, x5) = U2_ga(x5) is_in_ag(x1, x2) = is_in_ag(x2) is_out_ag(x1, x2) = is_out_ag +(x1, x2) = +(x2) 1 = 1
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