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Logic Progr 19030 pair #381919776
details
property
value
status
complete
benchmark
rotate.pl
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n073.star.cs.uiowa.edu
space
terminweb_old
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.79788517952 seconds
cpu usage
4.177384532
max memory
2.91446784E8
stage attributes
key
value
output-size
15469
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Left Termination of the query pattern rotate(g,a) w.r.t. the given Prolog program could successfully be proven: (0) Prolog (1) PrologToPiTRSProof [SOUND,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, 0 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 ---------------------------------------- (0) Obligation: Clauses: rotate(X, Y) :- ','(append(A, B, X), append(B, A, Y)). append(.(X, Xs), Ys, .(X, Zs)) :- append(Xs, Ys, Zs). append([], Ys, Ys). Query: rotate(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: rotate_in_2: (b,f) append_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: rotate_in_ga(X, Y) -> U1_ga(X, Y, append_in_aag(A, B, X)) append_in_aag(.(X, Xs), Ys, .(X, Zs)) -> U3_aag(X, Xs, Ys, Zs, append_in_aag(Xs, Ys, Zs)) append_in_aag([], Ys, Ys) -> append_out_aag([], Ys, Ys) U3_aag(X, Xs, Ys, Zs, append_out_aag(Xs, Ys, Zs)) -> append_out_aag(.(X, Xs), Ys, .(X, Zs)) U1_ga(X, Y, append_out_aag(A, B, X)) -> U2_ga(X, Y, append_in_gga(B, A, Y)) append_in_gga(.(X, Xs), Ys, .(X, Zs)) -> U3_gga(X, Xs, Ys, Zs, append_in_gga(Xs, Ys, Zs)) append_in_gga([], Ys, Ys) -> append_out_gga([], Ys, Ys) U3_gga(X, Xs, Ys, Zs, append_out_gga(Xs, Ys, Zs)) -> append_out_gga(.(X, Xs), Ys, .(X, Zs)) U2_ga(X, Y, append_out_gga(B, A, Y)) -> rotate_out_ga(X, Y) The argument filtering Pi contains the following mapping: rotate_in_ga(x1, x2) = rotate_in_ga(x1) U1_ga(x1, x2, x3) = U1_ga(x3) append_in_aag(x1, x2, x3) = append_in_aag(x3) .(x1, x2) = .(x1, x2) U3_aag(x1, x2, x3, x4, x5) = U3_aag(x1, x5) append_out_aag(x1, x2, x3) = append_out_aag(x1, x2) U2_ga(x1, x2, x3) = U2_ga(x3) append_in_gga(x1, x2, x3) = append_in_gga(x1, x2) U3_gga(x1, x2, x3, x4, x5) = U3_gga(x1, x5) [] = [] append_out_gga(x1, x2, x3) = append_out_gga(x3) rotate_out_ga(x1, x2) = rotate_out_ga(x2)
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