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TRS_Relative 2019-03-21 03.54 pair #429988722
details
property
value
status
complete
benchmark
rtL-evnz.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n087.star.cs.uiowa.edu
space
Relative_05
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
11.875 seconds
cpu usage
42.6154
user time
40.1635
system time
2.45192
max virtual memory
1.8579292E7
max residence set size
5401940.0
stage attributes
key
value
starexec-result
NO
output
42.45/11.82 NO 42.45/11.83 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 42.45/11.83 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 42.45/11.83 42.45/11.83 42.45/11.83 Termination of the given RelTRS could be disproven: 42.45/11.83 42.45/11.83 (0) RelTRS 42.45/11.83 (1) RelTRSLoopFinderProof [COMPLETE, 5591 ms] 42.45/11.83 (2) NO 42.45/11.83 42.45/11.83 42.45/11.83 ---------------------------------------- 42.45/11.83 42.45/11.83 (0) 42.45/11.83 Obligation: 42.45/11.83 Relative term rewrite system: 42.45/11.83 The relative TRS consists of the following R rules: 42.45/11.83 42.45/11.83 top(ok(U(x, y))) -> top(check(D(x, y))) 42.45/11.83 D(x, B) -> U(x, B) 42.45/11.83 F(x, U(O(y), z)) -> U(x, F(y, z)) 42.45/11.83 F(x, U(N(y), z)) -> U(x, F(y, z)) 42.45/11.83 D(O(x), F(y, z)) -> F(x, D(y, z)) 42.45/11.83 D(N(x), F(y, z)) -> F(x, D(y, z)) 42.45/11.83 F(x, U(E, y)) -> U(x, F(E, y)) 42.45/11.83 D(E, F(x, y)) -> F(E, D(x, y)) 42.45/11.83 42.45/11.83 The relative TRS consists of the following S rules: 42.45/11.83 42.45/11.83 U(O(x), y) -> U(x, y) 42.45/11.83 U(N(x), y) -> U(x, y) 42.45/11.83 D(O(x), y) -> D(x, y) 42.45/11.83 D(N(x), y) -> D(x, y) 42.45/11.83 E -> N(E) 42.45/11.83 check(O(x)) -> ok(O(x)) 42.45/11.83 check(U(x, y)) -> U(check(x), y) 42.45/11.83 check(U(x, y)) -> U(x, check(y)) 42.45/11.83 check(D(x, y)) -> D(check(x), y) 42.45/11.83 check(D(x, y)) -> D(x, check(y)) 42.45/11.83 check(F(x, y)) -> F(check(x), y) 42.45/11.83 check(F(x, y)) -> F(x, check(y)) 42.45/11.83 check(O(x)) -> O(check(x)) 42.45/11.83 check(N(x)) -> N(check(x)) 42.45/11.83 U(ok(x), y) -> ok(U(x, y)) 42.45/11.83 U(x, ok(y)) -> ok(U(x, y)) 42.45/11.83 D(ok(x), y) -> ok(D(x, y)) 42.45/11.83 D(x, ok(y)) -> ok(D(x, y)) 42.45/11.83 F(ok(x), y) -> ok(F(x, y)) 42.45/11.83 F(x, ok(y)) -> ok(F(x, y)) 42.45/11.83 O(ok(x)) -> ok(O(x)) 42.45/11.83 N(ok(x)) -> ok(N(x)) 42.45/11.83 42.45/11.83 42.45/11.83 ---------------------------------------- 42.45/11.83 42.45/11.83 (1) RelTRSLoopFinderProof (COMPLETE) 42.45/11.83 The following loop was found: 42.45/11.83 42.45/11.83 ---------- Loop: ---------- 42.45/11.83 42.45/11.83 top(check(D(O(x), B))) -> top(D(check(O(x)), B)) with rule check(D(x', y)) -> D(check(x'), y) at position [0] and matcher [x' / O(x), y / B] 42.45/11.83 42.45/11.83 top(D(check(O(x)), B)) -> top(D(ok(O(x)), B)) with rule check(O(x')) -> ok(O(x')) at position [0,0] and matcher [x' / x] 42.45/11.83 42.45/11.83 top(D(ok(O(x)), B)) -> top(U(ok(O(x)), B)) with rule D(x', B) -> U(x', B) at position [0] and matcher [x' / ok(O(x))] 42.45/11.83 42.45/11.83 top(U(ok(O(x)), B)) -> top(ok(U(O(x), B))) with rule U(ok(x'), y') -> ok(U(x', y')) at position [0] and matcher [x' / O(x), y' / B] 42.45/11.83 42.45/11.83 top(ok(U(O(x), B))) -> top(check(D(O(x), B))) with rule top(ok(U(x', y))) -> top(check(D(x', y))) at position [] and matcher [x' / O(x), y / B] 42.45/11.83 42.45/11.83 Now an instance of the first term with Matcher [ ] occurs in the last term at position []. 42.45/11.83 42.45/11.83 Context: [] 42.45/11.83 42.45/11.83 Therefore, the relative TRS problem does not terminate. 42.45/11.83 ---------------------------------------- 42.45/11.83 42.45/11.83 (2) 42.45/11.83 NO 42.59/11.87 EOF
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