Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
TRS_Conditional 2019-03-28 22.59 pair #432272670
details
property
value
status
complete
benchmark
logic.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
Mixed_CTRS_2014
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
117.588 seconds
cpu usage
117.462
user time
109.906
system time
7.55536
max virtual memory
1193904.0
max residence set size
97480.0
stage attributes
key
value
starexec-result
YES
output
117.33/117.58 YES 117.33/117.58 117.33/117.58 Problem 1: 117.33/117.58 117.33/117.58 (VAR v_NonEmpty:S x:S y:S) 117.33/117.58 (RULES 117.33/117.58 and(not(x:S),x:S) -> 0 117.33/117.58 and(0,x:S) -> 0 117.33/117.58 and(1,x:S) -> x:S 117.33/117.58 and(x:S,not(x:S)) -> 0 117.33/117.58 and(x:S,0) -> 0 117.33/117.58 and(x:S,1) -> x:S 117.33/117.58 f(x:S) -> f(0) | implies(implies(x:S,implies(x:S,0)),0) ->* 1 117.33/117.58 implies(x:S,y:S) -> 0 | x:S ->* 1, y:S ->* 0 117.33/117.58 implies(x:S,y:S) -> 1 | not(x:S) ->* 1 117.33/117.58 implies(x:S,y:S) -> 1 | y:S ->* 1 117.33/117.58 not(0) -> 1 117.33/117.58 not(1) -> 0 117.33/117.58 or(not(x:S),x:S) -> 1 117.33/117.58 or(0,x:S) -> x:S 117.33/117.58 or(1,x:S) -> 1 117.33/117.58 or(x:S,not(x:S)) -> 1 117.33/117.58 or(x:S,0) -> x:S 117.33/117.58 or(x:S,1) -> 1 117.33/117.58 ) 117.33/117.58 117.33/117.58 Problem 1: 117.33/117.58 Valid CTRS Processor: 117.33/117.58 -> Rules: 117.33/117.58 and(not(x:S),x:S) -> 0 117.33/117.58 and(0,x:S) -> 0 117.33/117.58 and(1,x:S) -> x:S 117.33/117.58 and(x:S,not(x:S)) -> 0 117.33/117.58 and(x:S,0) -> 0 117.33/117.58 and(x:S,1) -> x:S 117.33/117.58 f(x:S) -> f(0) | implies(implies(x:S,implies(x:S,0)),0) ->* 1 117.33/117.58 implies(x:S,y:S) -> 0 | x:S ->* 1, y:S ->* 0 117.33/117.58 implies(x:S,y:S) -> 1 | not(x:S) ->* 1 117.33/117.58 implies(x:S,y:S) -> 1 | y:S ->* 1 117.33/117.58 not(0) -> 1 117.33/117.58 not(1) -> 0 117.33/117.58 or(not(x:S),x:S) -> 1 117.33/117.58 or(0,x:S) -> x:S 117.33/117.58 or(1,x:S) -> 1 117.33/117.58 or(x:S,not(x:S)) -> 1 117.33/117.58 or(x:S,0) -> x:S 117.33/117.58 or(x:S,1) -> 1 117.33/117.58 -> The system is a deterministic 3-CTRS. 117.33/117.58 117.33/117.58 Problem 1: 117.33/117.58 117.33/117.58 Dependency Pairs Processor: 117.33/117.58 117.33/117.58 Conditional Termination Problem 1: 117.33/117.58 -> Pairs: 117.33/117.58 F(x:S) -> F(0) | implies(implies(x:S,implies(x:S,0)),0) ->* 1 117.33/117.58 -> QPairs: 117.33/117.58 Empty 117.33/117.58 -> Rules: 117.33/117.58 and(not(x:S),x:S) -> 0 117.33/117.58 and(0,x:S) -> 0 117.33/117.58 and(1,x:S) -> x:S 117.33/117.58 and(x:S,not(x:S)) -> 0 117.33/117.58 and(x:S,0) -> 0 117.33/117.58 and(x:S,1) -> x:S 117.33/117.58 f(x:S) -> f(0) | implies(implies(x:S,implies(x:S,0)),0) ->* 1 117.33/117.58 implies(x:S,y:S) -> 0 | x:S ->* 1, y:S ->* 0 117.33/117.58 implies(x:S,y:S) -> 1 | not(x:S) ->* 1 117.33/117.58 implies(x:S,y:S) -> 1 | y:S ->* 1 117.33/117.58 not(0) -> 1 117.33/117.58 not(1) -> 0 117.33/117.58 or(not(x:S),x:S) -> 1 117.33/117.58 or(0,x:S) -> x:S 117.33/117.58 or(1,x:S) -> 1 117.33/117.58 or(x:S,not(x:S)) -> 1 117.33/117.58 or(x:S,0) -> x:S 117.33/117.58 or(x:S,1) -> 1 117.33/117.58 117.33/117.58 Conditional Termination Problem 2: 117.33/117.58 -> Pairs: 117.33/117.58 F(x:S) -> IMPLIES(implies(x:S,implies(x:S,0)),0) 117.33/117.58 F(x:S) -> IMPLIES(x:S,implies(x:S,0)) 117.33/117.58 F(x:S) -> IMPLIES(x:S,0) 117.33/117.58 IMPLIES(x:S,y:S) -> NOT(x:S) 117.33/117.58 -> QPairs: 117.33/117.58 Empty 117.33/117.58 -> Rules: 117.33/117.58 and(not(x:S),x:S) -> 0 117.33/117.58 and(0,x:S) -> 0 117.33/117.58 and(1,x:S) -> x:S 117.33/117.58 and(x:S,not(x:S)) -> 0 117.33/117.58 and(x:S,0) -> 0 117.33/117.58 and(x:S,1) -> x:S 117.33/117.58 f(x:S) -> f(0) | implies(implies(x:S,implies(x:S,0)),0) ->* 1 117.33/117.58 implies(x:S,y:S) -> 0 | x:S ->* 1, y:S ->* 0 117.33/117.58 implies(x:S,y:S) -> 1 | not(x:S) ->* 1 117.33/117.58 implies(x:S,y:S) -> 1 | y:S ->* 1 117.33/117.58 not(0) -> 1 117.33/117.58 not(1) -> 0 117.33/117.58 or(not(x:S),x:S) -> 1
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to TRS_Conditional 2019-03-28 22.59