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TRS_Conditional 2019-03-28 22.59 pair #432272672
details
property
value
status
complete
benchmark
ohl.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n149.star.cs.uiowa.edu
space
Mixed_CTRS_2014
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
41.7341 seconds
cpu usage
41.6462
user time
40.5976
system time
1.0486
max virtual memory
1132128.0
max residence set size
41236.0
stage attributes
key
value
starexec-result
YES
output
41.59/41.73 YES 41.59/41.73 41.59/41.73 Problem 1: 41.59/41.73 41.59/41.73 (VAR v_NonEmpty:S x:S y:S) 41.59/41.73 (RULES 41.59/41.73 f(k(a),k(b),x:S) -> f(x:S,x:S,x:S) 41.59/41.73 g(x:S) -> k(y:S) | h(x:S) ->* d, h(x:S) ->* c(y:S) 41.59/41.73 h(d) -> c(a) 41.59/41.73 h(d) -> c(b) 41.59/41.73 ) 41.59/41.73 41.59/41.73 Problem 1: 41.59/41.73 Valid CTRS Processor: 41.59/41.73 -> Rules: 41.59/41.73 f(k(a),k(b),x:S) -> f(x:S,x:S,x:S) 41.59/41.73 g(x:S) -> k(y:S) | h(x:S) ->* d, h(x:S) ->* c(y:S) 41.59/41.73 h(d) -> c(a) 41.59/41.73 h(d) -> c(b) 41.59/41.73 -> The system is a deterministic 3-CTRS. 41.59/41.73 41.59/41.73 Problem 1: 41.59/41.73 41.59/41.73 Dependency Pairs Processor: 41.59/41.73 41.59/41.73 Conditional Termination Problem 1: 41.59/41.73 -> Pairs: 41.59/41.73 F(k(a),k(b),x:S) -> F(x:S,x:S,x:S) 41.59/41.73 -> QPairs: 41.59/41.73 Empty 41.59/41.73 -> Rules: 41.59/41.73 f(k(a),k(b),x:S) -> f(x:S,x:S,x:S) 41.59/41.73 g(x:S) -> k(y:S) | h(x:S) ->* d, h(x:S) ->* c(y:S) 41.59/41.73 h(d) -> c(a) 41.59/41.73 h(d) -> c(b) 41.59/41.73 41.59/41.73 Conditional Termination Problem 2: 41.59/41.73 -> Pairs: 41.59/41.73 G(x:S) -> H(x:S) 41.59/41.73 G(x:S) -> H(x:S) | h(x:S) ->* d 41.59/41.73 -> QPairs: 41.59/41.73 Empty 41.59/41.73 -> Rules: 41.59/41.73 f(k(a),k(b),x:S) -> f(x:S,x:S,x:S) 41.59/41.73 g(x:S) -> k(y:S) | h(x:S) ->* d, h(x:S) ->* c(y:S) 41.59/41.73 h(d) -> c(a) 41.59/41.73 h(d) -> c(b) 41.59/41.73 41.59/41.73 41.59/41.73 The problem is decomposed in 2 subproblems. 41.59/41.73 41.59/41.73 Problem 1.1: 41.59/41.73 41.59/41.73 SCC Processor: 41.59/41.73 -> Pairs: 41.59/41.73 F(k(a),k(b),x:S) -> F(x:S,x:S,x:S) 41.59/41.73 -> QPairs: 41.59/41.73 Empty 41.59/41.73 -> Rules: 41.59/41.73 f(k(a),k(b),x:S) -> f(x:S,x:S,x:S) 41.59/41.73 g(x:S) -> k(y:S) | h(x:S) ->* d, h(x:S) ->* c(y:S) 41.59/41.73 h(d) -> c(a) 41.59/41.73 h(d) -> c(b) 41.59/41.73 ->Strongly Connected Components: 41.59/41.73 ->->Cycle: 41.59/41.73 ->->-> Pairs: 41.59/41.73 F(k(a),k(b),x:S) -> F(x:S,x:S,x:S) 41.59/41.73 -> QPairs: 41.59/41.73 Empty 41.59/41.73 ->->-> Rules: 41.59/41.73 f(k(a),k(b),x:S) -> f(x:S,x:S,x:S) 41.59/41.73 g(x:S) -> k(y:S) | h(x:S) ->* d, h(x:S) ->* c(y:S) 41.59/41.73 h(d) -> c(a) 41.59/41.73 h(d) -> c(b) 41.59/41.73 41.59/41.73 Problem 1.1: 41.59/41.73 41.59/41.73 Unsatisfiable Rule Processor: 41.59/41.73 -> Pairs: 41.59/41.73 F(k(a),k(b),x:S) -> F(x:S,x:S,x:S) 41.59/41.73 -> QPairs: 41.59/41.73 Empty 41.59/41.73 -> Rules: 41.59/41.73 f(k(a),k(b),x:S) -> f(x:S,x:S,x:S) 41.59/41.73 g(x:S) -> k(y:S) | h(x:S) ->* d, h(x:S) ->* c(y:S) 41.59/41.73 h(d) -> c(a) 41.59/41.73 h(d) -> c(b) 41.59/41.73 ->AGES Output: 41.59/41.73 41.59/41.73 Model Results 41.59/41.73 41.59/41.73 System: 41.59/41.73 mod InTheory is 41.59/41.73 sorts S Bool . 41.59/41.73 41.59/41.73 op _->*_ : S S -> Bool . 41.59/41.73 op _->_ : S S -> Bool . 41.59/41.73 op f : S S S -> S . 41.59/41.73 op g : S -> S . 41.59/41.73 op h : S -> S .
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