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Logic_Programming 2019-04-02 08.22 pair #434324501
details
property
value
status
complete
benchmark
vangelder.pl
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n178.star.cs.uiowa.edu
space
talp_talp
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
4.33295 seconds
cpu usage
13.6913
user time
12.9758
system time
0.715468
max virtual memory
3.8858832E7
max residence set size
1436804.0
stage attributes
key
value
starexec-result
YES
output
13.32/4.25 YES 13.58/4.27 proof of /export/starexec/sandbox/benchmark/theBenchmark.pl 13.58/4.27 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 13.58/4.27 13.58/4.27 13.58/4.27 Left Termination of the query pattern 13.58/4.27 13.58/4.27 q(g,g) 13.58/4.27 13.58/4.27 w.r.t. the given Prolog program could successfully be proven: 13.58/4.27 13.58/4.27 (0) Prolog 13.58/4.27 (1) PrologToPiTRSProof [SOUND, 0 ms] 13.58/4.27 (2) PiTRS 13.58/4.27 (3) DependencyPairsProof [EQUIVALENT, 30 ms] 13.58/4.27 (4) PiDP 13.58/4.27 (5) DependencyGraphProof [EQUIVALENT, 0 ms] 13.58/4.27 (6) PiDP 13.58/4.27 (7) PiDPToQDPProof [SOUND, 6 ms] 13.58/4.27 (8) QDP 13.58/4.27 (9) QDPQMonotonicMRRProof [EQUIVALENT, 315 ms] 13.58/4.27 (10) QDP 13.58/4.27 (11) DependencyGraphProof [EQUIVALENT, 2 ms] 13.58/4.27 (12) QDP 13.58/4.27 (13) UsableRulesProof [EQUIVALENT, 0 ms] 13.58/4.27 (14) QDP 13.58/4.27 (15) QReductionProof [EQUIVALENT, 0 ms] 13.58/4.27 (16) QDP 13.58/4.27 (17) QDPSizeChangeProof [EQUIVALENT, 0 ms] 13.58/4.27 (18) YES 13.58/4.27 13.58/4.27 13.58/4.27 ---------------------------------------- 13.58/4.27 13.58/4.27 (0) 13.58/4.27 Obligation: 13.58/4.27 Clauses: 13.58/4.27 13.58/4.27 e(a, b). 13.58/4.27 q(X, Y) :- e(X, Y). 13.58/4.27 q(X, f(f(X))) :- ','(p(X, f(f(X))), q(X, f(X))). 13.58/4.27 q(X, f(f(Y))) :- p(X, f(Y)). 13.58/4.27 p(X, Y) :- e(X, Y). 13.58/4.27 p(X, f(Y)) :- ','(r(X, f(Y)), p(X, Y)). 13.58/4.27 r(X, Y) :- e(X, Y). 13.58/4.27 r(X, f(Y)) :- ','(q(X, Y), r(X, Y)). 13.58/4.27 r(f(X), f(X)) :- t(f(X), f(X)). 13.58/4.27 t(X, Y) :- e(X, Y). 13.58/4.27 t(f(X), f(Y)) :- ','(q(f(X), f(Y)), t(X, Y)). 13.58/4.27 13.58/4.27 13.58/4.27 Query: q(g,g) 13.58/4.27 ---------------------------------------- 13.58/4.27 13.58/4.27 (1) PrologToPiTRSProof (SOUND) 13.58/4.27 We use the technique of [TOCL09]. With regard to the inferred argument filtering the predicates were used in the following modes: 13.58/4.27 13.58/4.27 q_in_2: (b,b) 13.58/4.27 13.58/4.27 p_in_2: (b,b) 13.58/4.27 13.58/4.27 r_in_2: (b,b) 13.58/4.27 13.58/4.27 t_in_2: (b,b) 13.58/4.27 13.58/4.27 Transforming Prolog into the following Term Rewriting System: 13.58/4.27 13.58/4.27 Pi-finite rewrite system: 13.58/4.27 The TRS R consists of the following rules: 13.58/4.27 13.58/4.27 q_in_gg(X, Y) -> U1_gg(X, Y, e_in_gg(X, Y)) 13.58/4.27 e_in_gg(a, b) -> e_out_gg(a, b) 13.58/4.27 U1_gg(X, Y, e_out_gg(X, Y)) -> q_out_gg(X, Y) 13.58/4.27 q_in_gg(X, f(f(X))) -> U2_gg(X, p_in_gg(X, f(f(X)))) 13.58/4.27 p_in_gg(X, Y) -> U5_gg(X, Y, e_in_gg(X, Y)) 13.58/4.27 U5_gg(X, Y, e_out_gg(X, Y)) -> p_out_gg(X, Y) 13.58/4.27 p_in_gg(X, f(Y)) -> U6_gg(X, Y, r_in_gg(X, f(Y))) 13.58/4.27 r_in_gg(X, Y) -> U8_gg(X, Y, e_in_gg(X, Y)) 13.58/4.27 U8_gg(X, Y, e_out_gg(X, Y)) -> r_out_gg(X, Y) 13.58/4.27 r_in_gg(X, f(Y)) -> U9_gg(X, Y, q_in_gg(X, Y)) 13.58/4.27 q_in_gg(X, f(f(Y))) -> U4_gg(X, Y, p_in_gg(X, f(Y))) 13.58/4.27 U4_gg(X, Y, p_out_gg(X, f(Y))) -> q_out_gg(X, f(f(Y))) 13.58/4.27 U9_gg(X, Y, q_out_gg(X, Y)) -> U10_gg(X, Y, r_in_gg(X, Y)) 13.58/4.27 r_in_gg(f(X), f(X)) -> U11_gg(X, t_in_gg(f(X), f(X))) 13.58/4.27 t_in_gg(X, Y) -> U12_gg(X, Y, e_in_gg(X, Y)) 13.58/4.27 U12_gg(X, Y, e_out_gg(X, Y)) -> t_out_gg(X, Y) 13.58/4.27 t_in_gg(f(X), f(Y)) -> U13_gg(X, Y, q_in_gg(f(X), f(Y))) 13.58/4.27 U13_gg(X, Y, q_out_gg(f(X), f(Y))) -> U14_gg(X, Y, t_in_gg(X, Y)) 13.58/4.27 U14_gg(X, Y, t_out_gg(X, Y)) -> t_out_gg(f(X), f(Y)) 13.58/4.27 U11_gg(X, t_out_gg(f(X), f(X))) -> r_out_gg(f(X), f(X)) 13.58/4.27 U10_gg(X, Y, r_out_gg(X, Y)) -> r_out_gg(X, f(Y)) 13.58/4.27 U6_gg(X, Y, r_out_gg(X, f(Y))) -> U7_gg(X, Y, p_in_gg(X, Y)) 13.58/4.27 U7_gg(X, Y, p_out_gg(X, Y)) -> p_out_gg(X, f(Y)) 13.58/4.27 U2_gg(X, p_out_gg(X, f(f(X)))) -> U3_gg(X, q_in_gg(X, f(X))) 13.58/4.27 U3_gg(X, q_out_gg(X, f(X))) -> q_out_gg(X, f(f(X))) 13.58/4.27 13.58/4.27 The argument filtering Pi contains the following mapping: 13.58/4.27 q_in_gg(x1, x2) = q_in_gg(x1, x2) 13.58/4.27 13.58/4.27 U1_gg(x1, x2, x3) = U1_gg(x3)
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