Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
TRS Standard pair #487068502
details
property
value
status
complete
benchmark
z01.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n186.star.cs.uiowa.edu
space
Zantema_05
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
1.28849 seconds
cpu usage
3.89484
user time
2.99033
system time
0.904507
max virtual memory
5467432.0
max residence set size
79712.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(f(),a(f(),a(g(),a(g(),x)))) -> a(g(),a(g(),a(g(),a(f(),a(f(),a(f(),x)))))) Proof: Extended Uncurrying Processor: application symbol: a symbol table: g ==> g0/0 g1/1 f ==> f0/0 f1/1 uncurry-rules: a(f0(),x1) -> f1(x1) a(g0(),x3) -> g1(x3) eta-rules: problem: f1(f1(g1(g1(x)))) -> g1(g1(g1(f1(f1(f1(x)))))) a(f0(),x1) -> f1(x1) a(g0(),x3) -> g1(x3) Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [0] [f1](x0) = [1 0 0]x0 + [1] [1 0 0] [0], [0] [f0] = [1] [0], [1] [g0] = [0] [0], [1 0 0] [g1](x0) = [1 0 0]x0 [1 0 0] , [1 0 0] [1 1 1] [a](x0, x1) = [0 1 0]x0 + [1 0 1]x1 [1 0 0] [1 0 0] orientation: [1 0 0] [0] [1 0 0] f1(f1(g1(g1(x)))) = [1 0 0]x + [1] >= [1 0 0]x = g1(g1(g1(f1(f1(f1(x)))))) [1 0 0] [0] [1 0 0] [1 1 1] [0] [1 0 0] [0] a(f0(),x1) = [1 0 1]x1 + [1] >= [1 0 0]x1 + [1] = f1(x1) [1 0 0] [0] [1 0 0] [0] [1 1 1] [1] [1 0 0] a(g0(),x3) = [1 0 1]x3 + [0] >= [1 0 0]x3 = g1(x3) [1 0 0] [1] [1 0 0] problem: f1(f1(g1(g1(x)))) -> g1(g1(g1(f1(f1(f1(x)))))) a(f0(),x1) -> f1(x1) Matrix Interpretation Processor: dim=3 interpretation: [f1](x0) = x0 , [0] [f0] = [0] [0], [1 1 0] [g1](x0) = [0 0 0]x0 [1 0 0] , [1 0 0] [1 0 0] [1] [a](x0, x1) = [0 0 0]x0 + [0 1 1]x1 + [0] [0 0 0] [0 1 1] [0] orientation: [1 1 0] [1 1 0] f1(f1(g1(g1(x)))) = [0 0 0]x >= [0 0 0]x = g1(g1(g1(f1(f1(f1(x)))))) [1 1 0] [1 1 0] [1 0 0] [1] a(f0(),x1) = [0 1 1]x1 + [0] >= x1 = f1(x1) [0 1 1] [0] problem: f1(f1(g1(g1(x)))) -> g1(g1(g1(f1(f1(f1(x)))))) DP Processor: DPs: f{1,#}(f1(g1(g1(x)))) -> f{1,#}(x) f{1,#}(f1(g1(g1(x)))) -> f{1,#}(f1(x)) f{1,#}(f1(g1(g1(x)))) -> f{1,#}(f1(f1(x))) TRS: f1(f1(g1(g1(x)))) -> g1(g1(g1(f1(f1(f1(x)))))) Bounds Processor: bound: 3 enrichment: match automaton: final states: {7,5,3,1} transitions: f{1,3}(103) -> 104*
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to TRS Standard