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SRS_Relative 2019-03-29 08.12 pair #432296828
details
property
value
status
complete
benchmark
rel09.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n033.star.cs.uiowa.edu
space
Zantema_06_relative
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
9.29107 seconds
cpu usage
32.7313
user time
31.2507
system time
1.48061
max virtual memory
3.8186924E7
max residence set size
3447108.0
stage attributes
key
value
starexec-result
YES
output
32.32/9.11 YES 32.32/9.12 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 32.32/9.12 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 32.32/9.12 32.32/9.12 32.32/9.12 Termination of the given RelTRS could be proven: 32.32/9.12 32.32/9.12 (0) RelTRS 32.32/9.12 (1) RelTRS Reverse [EQUIVALENT, 0 ms] 32.32/9.12 (2) RelTRS 32.32/9.12 (3) RelTRSRRRProof [EQUIVALENT, 143 ms] 32.32/9.12 (4) RelTRS 32.32/9.12 (5) RelTRSRRRProof [EQUIVALENT, 746 ms] 32.32/9.12 (6) RelTRS 32.32/9.12 (7) RelTRSRRRProof [EQUIVALENT, 0 ms] 32.32/9.12 (8) RelTRS 32.32/9.12 (9) RIsEmptyProof [EQUIVALENT, 0 ms] 32.32/9.12 (10) YES 32.32/9.12 32.32/9.12 32.32/9.12 ---------------------------------------- 32.32/9.12 32.32/9.12 (0) 32.32/9.12 Obligation: 32.32/9.12 Relative term rewrite system: 32.32/9.12 The relative TRS consists of the following R rules: 32.32/9.12 32.32/9.12 b(q(b(x1))) -> b(p(b(x1))) 32.32/9.12 32.32/9.12 The relative TRS consists of the following S rules: 32.32/9.12 32.32/9.12 0(p(0(x1))) -> q(x1) 32.32/9.12 1(p(1(x1))) -> q(x1) 32.32/9.12 0(q(0(x1))) -> q(x1) 32.32/9.12 1(q(1(x1))) -> q(x1) 32.32/9.12 p(x1) -> 1(p(1(0(1(x1))))) 32.32/9.12 32.32/9.12 32.32/9.12 ---------------------------------------- 32.32/9.12 32.32/9.12 (1) RelTRS Reverse (EQUIVALENT) 32.32/9.12 We have reversed the following relative TRS [REVERSE]: 32.32/9.12 The set of rules R is 32.32/9.12 b(q(b(x1))) -> b(p(b(x1))) 32.32/9.12 32.32/9.12 The set of rules S is 32.32/9.12 0(p(0(x1))) -> q(x1) 32.32/9.12 1(p(1(x1))) -> q(x1) 32.32/9.12 0(q(0(x1))) -> q(x1) 32.32/9.12 1(q(1(x1))) -> q(x1) 32.32/9.12 p(x1) -> 1(p(1(0(1(x1))))) 32.32/9.12 32.32/9.12 We have obtained the following relative TRS: 32.32/9.12 The set of rules R is 32.32/9.12 b(q(b(x1))) -> b(p(b(x1))) 32.32/9.12 32.32/9.12 The set of rules S is 32.32/9.12 0(p(0(x1))) -> q(x1) 32.32/9.12 1(p(1(x1))) -> q(x1) 32.32/9.12 0(q(0(x1))) -> q(x1) 32.32/9.12 1(q(1(x1))) -> q(x1) 32.32/9.12 p(x1) -> 1(0(1(p(1(x1))))) 32.32/9.12 32.32/9.12 32.32/9.12 ---------------------------------------- 32.32/9.12 32.32/9.12 (2) 32.32/9.12 Obligation: 32.32/9.12 Relative term rewrite system: 32.32/9.12 The relative TRS consists of the following R rules: 32.32/9.12 32.32/9.12 b(q(b(x1))) -> b(p(b(x1))) 32.32/9.12 32.32/9.12 The relative TRS consists of the following S rules: 32.32/9.12 32.32/9.12 0(p(0(x1))) -> q(x1) 32.32/9.12 1(p(1(x1))) -> q(x1) 32.32/9.12 0(q(0(x1))) -> q(x1) 32.32/9.12 1(q(1(x1))) -> q(x1) 32.32/9.12 p(x1) -> 1(0(1(p(1(x1))))) 32.32/9.12 32.32/9.12 32.32/9.12 ---------------------------------------- 32.32/9.12 32.32/9.12 (3) RelTRSRRRProof (EQUIVALENT) 32.32/9.12 We used the following monotonic ordering for rule removal: 32.32/9.12 Matrix interpretation [MATRO] to (N^2, +, *, >=, >) : 32.32/9.12 32.32/9.12 <<< 32.32/9.12 POL(b(x_1)) = [[0], [0]] + [[1, 0], [0, 0]] * x_1 32.32/9.12 >>> 32.32/9.12 32.32/9.12 <<< 32.32/9.12 POL(q(x_1)) = [[0], [0]] + [[1, 0], [0, 0]] * x_1 32.32/9.12 >>> 32.32/9.12 32.32/9.12 <<< 32.32/9.12 POL(p(x_1)) = [[0], [1]] + [[1, 0], [0, 0]] * x_1 32.32/9.12 >>> 32.32/9.12
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