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Integer_TRS_Innermost 2019-03-21 04.53 pair #429994929
details
property
value
status
complete
benchmark
csharp2.itrs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n123.star.cs.uiowa.edu
space
Mixed_ITRS_2014
run statistics
property
value
solver
Ctrl
configuration
Itrs
runtime (wallclock)
2.37042 seconds
cpu usage
2.41505
user time
1.23884
system time
1.17622
max virtual memory
729104.0
max residence set size
8612.0
stage attributes
key
value
starexec-result
YES
output
2.37/2.36 YES 2.37/2.36 2.37/2.36 DP problem for innermost termination. 2.37/2.36 P = 2.37/2.36 b15#(sv14_14, sv23_37, sv24_38) -> b10#(sv14_14, sv23_37 - sv14_14, sv24_38 + 1) 2.37/2.36 b14#(I0, I1, I2) -> Cond_b14#(I1 >= I0 && 1 < I0 && 0 < I2 && 1 < I1, I0, I1, I2) 2.37/2.36 Cond_b14#(true, I3, I4, I5) -> b15#(I3, I4, I5) 2.37/2.36 b10#(I6, I7, I8) -> b14#(I6, I7, I8) 2.37/2.36 R = 2.37/2.36 b15(sv14_14, sv23_37, sv24_38) -> b10(sv14_14, sv23_37 - sv14_14, sv24_38 + 1) 2.37/2.36 b14(I0, I1, I2) -> Cond_b14(I1 >= I0 && 1 < I0 && 0 < I2 && 1 < I1, I0, I1, I2) 2.37/2.36 Cond_b14(true, I3, I4, I5) -> b15(I3, I4, I5) 2.37/2.36 b10(I6, I7, I8) -> b14(I6, I7, I8) 2.37/2.36 2.37/2.36 This problem is converted using chaining, where edges between chained DPs are removed. 2.37/2.36 2.37/2.36 DP problem for innermost termination. 2.37/2.36 P = 2.37/2.36 b15#(sv14_14, sv23_37, sv24_38) -> b10#(sv14_14, sv23_37 - sv14_14, sv24_38 + 1) 2.37/2.36 b14#(I0, I1, I2) -> Cond_b14#(I1 >= I0 && 1 < I0 && 0 < I2 && 1 < I1, I0, I1, I2) 2.37/2.36 Cond_b14#(true, I3, I4, I5) -> b15#(I3, I4, I5) 2.37/2.36 b10#(I6, I7, I8) -> b14#(I6, I7, I8) 2.37/2.36 b14#(I0, I1, I2) -> b15#(I0, I1, I2) [I1 >= I0 && 1 < I0 && 0 < I2 && 1 < I1] 2.37/2.37 R = 2.37/2.37 b15(sv14_14, sv23_37, sv24_38) -> b10(sv14_14, sv23_37 - sv14_14, sv24_38 + 1) 2.37/2.37 b14(I0, I1, I2) -> Cond_b14(I1 >= I0 && 1 < I0 && 0 < I2 && 1 < I1, I0, I1, I2) 2.37/2.37 Cond_b14(true, I3, I4, I5) -> b15(I3, I4, I5) 2.37/2.37 b10(I6, I7, I8) -> b14(I6, I7, I8) 2.37/2.37 2.37/2.37 The dependency graph for this problem is: 2.37/2.37 0 -> 3 2.37/2.37 1 -> 2.37/2.37 2 -> 0 2.37/2.37 3 -> 4, 1 2.37/2.37 4 -> 0 2.37/2.37 Where: 2.37/2.37 0) b15#(sv14_14, sv23_37, sv24_38) -> b10#(sv14_14, sv23_37 - sv14_14, sv24_38 + 1) 2.37/2.37 1) b14#(I0, I1, I2) -> Cond_b14#(I1 >= I0 && 1 < I0 && 0 < I2 && 1 < I1, I0, I1, I2) 2.37/2.37 2) Cond_b14#(true, I3, I4, I5) -> b15#(I3, I4, I5) 2.37/2.37 3) b10#(I6, I7, I8) -> b14#(I6, I7, I8) 2.37/2.37 4) b14#(I0, I1, I2) -> b15#(I0, I1, I2) [I1 >= I0 && 1 < I0 && 0 < I2 && 1 < I1] 2.37/2.37 2.37/2.37 We have the following SCCs. 2.37/2.37 { 0, 3, 4 } 2.37/2.37 2.37/2.37 DP problem for innermost termination. 2.37/2.37 P = 2.37/2.37 b15#(sv14_14, sv23_37, sv24_38) -> b10#(sv14_14, sv23_37 - sv14_14, sv24_38 + 1) 2.37/2.37 b10#(I6, I7, I8) -> b14#(I6, I7, I8) 2.37/2.37 b14#(I0, I1, I2) -> b15#(I0, I1, I2) [I1 >= I0 && 1 < I0 && 0 < I2 && 1 < I1] 2.37/2.37 R = 2.37/2.37 b15(sv14_14, sv23_37, sv24_38) -> b10(sv14_14, sv23_37 - sv14_14, sv24_38 + 1) 2.37/2.37 b14(I0, I1, I2) -> Cond_b14(I1 >= I0 && 1 < I0 && 0 < I2 && 1 < I1, I0, I1, I2) 2.37/2.37 Cond_b14(true, I3, I4, I5) -> b15(I3, I4, I5) 2.37/2.37 b10(I6, I7, I8) -> b14(I6, I7, I8) 2.37/2.37 2.37/2.37 We use the extended value criterion with the projection function NU: 2.37/2.37 NU[b14#(x0,x1,x2)] = x1 - 2 2.37/2.37 NU[b10#(x0,x1,x2)] = x1 - 2 2.37/2.37 NU[b15#(x0,x1,x2)] = -x0 + x1 - 2 2.37/2.37 2.37/2.37 This gives the following inequalities: 2.37/2.37 ==> -sv14_14 + sv23_37 - 2 >= (sv23_37 - sv14_14) - 2 2.37/2.37 ==> I7 - 2 >= I7 - 2 2.37/2.37 I1 >= I0 && 1 < I0 && 0 < I2 && 1 < I1 ==> I1 - 2 > -I0 + I1 - 2 with I1 - 2 >= 0 2.37/2.37 2.37/2.37 We remove all the strictly oriented dependency pairs. 2.37/2.37 2.37/2.37 DP problem for innermost termination. 2.37/2.37 P = 2.37/2.37 b15#(sv14_14, sv23_37, sv24_38) -> b10#(sv14_14, sv23_37 - sv14_14, sv24_38 + 1) 2.37/2.37 b10#(I6, I7, I8) -> b14#(I6, I7, I8) 2.37/2.37 R = 2.37/2.37 b15(sv14_14, sv23_37, sv24_38) -> b10(sv14_14, sv23_37 - sv14_14, sv24_38 + 1) 2.37/2.37 b14(I0, I1, I2) -> Cond_b14(I1 >= I0 && 1 < I0 && 0 < I2 && 1 < I1, I0, I1, I2) 2.37/2.37 Cond_b14(true, I3, I4, I5) -> b15(I3, I4, I5) 2.37/2.37 b10(I6, I7, I8) -> b14(I6, I7, I8) 2.37/2.37 2.37/2.37 The dependency graph for this problem is: 2.37/2.37 0 -> 3 2.37/2.37 3 -> 2.37/2.37 Where: 2.37/2.37 0) b15#(sv14_14, sv23_37, sv24_38) -> b10#(sv14_14, sv23_37 - sv14_14, sv24_38 + 1) 2.37/2.37 3) b10#(I6, I7, I8) -> b14#(I6, I7, I8) 2.37/2.37 2.37/2.37 We have the following SCCs. 2.37/2.37 2.37/5.34 EOF
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return to Integer_TRS_Innermost 2019-03-21 04.53