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TRS Stand 20472 pair #381714033
details
property
value
status
complete
benchmark
jw41.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n078.star.cs.uiowa.edu
space
Zantema_05
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
1.20348095894 seconds
cpu usage
3.353134815
max memory
4.50756608E8
stage attributes
key
value
output-size
3300
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem: f(f(a(),x),a()) -> f(f(f(x,f(a(),a())),a()),a()) Proof: Extended Uncurrying Processor: application symbol: f symbol table: a ==> a0/0 a1/1 a2/2 uncurry-rules: f(a1(x1),x2) -> a2(x1,x2) f(a0(),x1) -> a1(x1) eta-rules: problem: a2(x,a0()) -> f(f(f(x,a1(a0())),a0()),a0()) f(a1(x1),x2) -> a2(x1,x2) f(a0(),x1) -> a1(x1) DP Processor: DPs: a{2,#}(x,a0()) -> f#(x,a1(a0())) a{2,#}(x,a0()) -> f#(f(x,a1(a0())),a0()) a{2,#}(x,a0()) -> f#(f(f(x,a1(a0())),a0()),a0()) f#(a1(x1),x2) -> a{2,#}(x1,x2) TRS: a2(x,a0()) -> f(f(f(x,a1(a0())),a0()),a0()) f(a1(x1),x2) -> a2(x1,x2) f(a0(),x1) -> a1(x1) TDG Processor: DPs: a{2,#}(x,a0()) -> f#(x,a1(a0())) a{2,#}(x,a0()) -> f#(f(x,a1(a0())),a0()) a{2,#}(x,a0()) -> f#(f(f(x,a1(a0())),a0()),a0()) f#(a1(x1),x2) -> a{2,#}(x1,x2) TRS: a2(x,a0()) -> f(f(f(x,a1(a0())),a0()),a0()) f(a1(x1),x2) -> a2(x1,x2) f(a0(),x1) -> a1(x1) graph: f#(a1(x1),x2) -> a{2,#}(x1,x2) -> a{2,#}(x,a0()) -> f#(f(f(x,a1(a0())),a0()),a0()) f#(a1(x1),x2) -> a{2,#}(x1,x2) -> a{2,#}(x,a0()) -> f#(f(x,a1(a0())),a0()) f#(a1(x1),x2) -> a{2,#}(x1,x2) -> a{2,#}(x,a0()) -> f#(x,a1(a0())) a{2,#}(x,a0()) -> f#(f(f(x,a1(a0())),a0()),a0()) -> f#(a1(x1),x2) -> a{2,#}(x1,x2) a{2,#}(x,a0()) -> f#(f(x,a1(a0())),a0()) -> f#(a1(x1),x2) -> a{2,#}(x1,x2) a{2,#}(x,a0()) -> f#(x,a1(a0())) -> f#(a1(x1),x2) -> a{2,#}(x1,x2) Bounds Processor: bound: 0 enrichment: match-dp automaton: final states: {1} transitions: f70() -> 4* f{#,0}(4,3) -> 1* a{1,0}(2) -> 3* a{0,0}() -> 2* a{2,#,0}(4,3) -> 1* problem: DPs: a{2,#}(x,a0()) -> f#(f(x,a1(a0())),a0()) a{2,#}(x,a0()) -> f#(f(f(x,a1(a0())),a0()),a0()) f#(a1(x1),x2) -> a{2,#}(x1,x2) TRS: a2(x,a0()) -> f(f(f(x,a1(a0())),a0()),a0()) f(a1(x1),x2) -> a2(x1,x2) f(a0(),x1) -> a1(x1) Bounds Processor: bound: 1 enrichment: match automaton: final states: {11,10,9,8,6,1} transitions: a{2,0}(4,4) -> 10* a{2,0}(2,3) -> 5* a{2,0}(3,2) -> 7* a{2,0}(4,3) -> 5* f150() -> 4* a{2,1}(2,16) -> 17* a{2,1}(2,3) -> 5* a{2,1}(3,2) -> 7* f1(17,15) -> 7,17 f1(3,16) -> 17* a{1,1}(15) -> 16* a{0,1}() -> 15* a{2,#,1}(3,2) -> 1,8 f{#,1}(17,15) -> 1* f{#,0}(5,2) -> 1* f{#,0}(7,2) -> 1,6
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