details

property	value
status	complete
benchmark	388.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n047.star.cs.uiowa.edu
space	COPS

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.0164479 seconds
cpu usage	0.016999
user time	0.010805
system time	0.006194
max virtual memory	113176.0
max residence set size	4384.0

stage attributes

key	value
starexec-result	YES

output

0.00/0.01 YES 0.00/0.01 0.00/0.01 Problem 1: 0.00/0.01 0.00/0.01 (VAR v_NonEmpty:S x:S y:S z:S) 0.00/0.01 (RULES 0.00/0.01 add(x:S,0) -> x:S 0.00/0.01 add(x:S,s(y:S)) -> s(add(x:S,y:S)) 0.00/0.01 quad(x:S) -> z:S | add(x:S,x:S) ->* y:S, add(y:S,y:S) ->* z:S 0.00/0.01 ) 0.00/0.01 0.00/0.01 Problem 1: 0.00/0.01 Valid CTRS Processor: 0.00/0.01 -> Rules: 0.00/0.01 add(x:S,0) -> x:S 0.00/0.01 add(x:S,s(y:S)) -> s(add(x:S,y:S)) 0.00/0.01 quad(x:S) -> z:S | add(x:S,x:S) ->* y:S, add(y:S,y:S) ->* z:S 0.00/0.01 -> The system is a deterministic 3-CTRS. 0.00/0.01 0.00/0.01 Problem 1: 0.00/0.01 0.00/0.01 Dependency Pairs Processor: 0.00/0.01 0.00/0.01 Conditional Termination Problem 1: 0.00/0.01 -> Pairs: 0.00/0.01 ADD(x:S,s(y:S)) -> ADD(x:S,y:S) 0.00/0.01 -> QPairs: 0.00/0.01 Empty 0.00/0.01 -> Rules: 0.00/0.01 add(x:S,0) -> x:S 0.00/0.01 add(x:S,s(y:S)) -> s(add(x:S,y:S)) 0.00/0.01 quad(x:S) -> z:S | add(x:S,x:S) ->* y:S, add(y:S,y:S) ->* z:S 0.00/0.01 0.00/0.01 Conditional Termination Problem 2: 0.00/0.01 -> Pairs: 0.00/0.01 QUAD(x:S) -> ADD(x:S,x:S) 0.00/0.01 QUAD(x:S) -> ADD(y:S,y:S) | add(x:S,x:S) ->* y:S 0.00/0.01 -> QPairs: 0.00/0.01 ADD(x:S,s(y:S)) -> ADD(x:S,y:S) 0.00/0.01 -> Rules: 0.00/0.01 add(x:S,0) -> x:S 0.00/0.01 add(x:S,s(y:S)) -> s(add(x:S,y:S)) 0.00/0.01 quad(x:S) -> z:S | add(x:S,x:S) ->* y:S, add(y:S,y:S) ->* z:S 0.00/0.01 0.00/0.01 0.00/0.01 The problem is decomposed in 2 subproblems. 0.00/0.01 0.00/0.01 Problem 1.1: 0.00/0.01 0.00/0.01 SCC Processor: 0.00/0.01 -> Pairs: 0.00/0.01 ADD(x:S,s(y:S)) -> ADD(x:S,y:S) 0.00/0.01 -> QPairs: 0.00/0.01 Empty 0.00/0.01 -> Rules: 0.00/0.01 add(x:S,0) -> x:S 0.00/0.01 add(x:S,s(y:S)) -> s(add(x:S,y:S)) 0.00/0.01 quad(x:S) -> z:S | add(x:S,x:S) ->* y:S, add(y:S,y:S) ->* z:S 0.00/0.01 ->Strongly Connected Components: 0.00/0.01 ->->Cycle: 0.00/0.01 ->->-> Pairs: 0.00/0.01 ADD(x:S,s(y:S)) -> ADD(x:S,y:S) 0.00/0.01 -> QPairs: 0.00/0.01 Empty 0.00/0.01 ->->-> Rules: 0.00/0.01 add(x:S,0) -> x:S 0.00/0.01 add(x:S,s(y:S)) -> s(add(x:S,y:S)) 0.00/0.01 quad(x:S) -> z:S | add(x:S,x:S) ->* y:S, add(y:S,y:S) ->* z:S 0.00/0.01 0.00/0.01 Problem 1.1: 0.00/0.01 0.00/0.01 Conditional Subterm Processor: 0.00/0.01 -> Pairs: 0.00/0.01 ADD(x:S,s(y:S)) -> ADD(x:S,y:S) 0.00/0.01 -> QPairs: 0.00/0.01 Empty 0.00/0.01 -> Rules: 0.00/0.01 add(x:S,0) -> x:S 0.00/0.01 add(x:S,s(y:S)) -> s(add(x:S,y:S)) 0.00/0.01 quad(x:S) -> z:S | add(x:S,x:S) ->* y:S, add(y:S,y:S) ->* z:S 0.00/0.01 ->Projection: 0.00/0.01 pi(ADD) = 2 0.00/0.01 0.00/0.01 Problem 1.1: 0.00/0.01 0.00/0.01 SCC Processor: 0.00/0.01 -> Pairs: 0.00/0.01 Empty 0.00/0.01 -> QPairs: 0.00/0.01 Empty 0.00/0.01 -> Rules: 0.00/0.01 add(x:S,0) -> x:S 0.00/0.01 add(x:S,s(y:S)) -> s(add(x:S,y:S)) 0.00/0.01 quad(x:S) -> z:S | add(x:S,x:S) ->* y:S, add(y:S,y:S) ->* z:S 0.00/0.01 ->Strongly Connected Components: 0.00/0.01 There is no strongly connected component 0.00/0.01 0.00/0.01 The problem is finite. 0.00/0.01 0.00/0.01 Problem 1.2: popout

output may be truncated. 'popout' for the full output.

job log

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actions

all output return to TRS_Conditional 2019-03-28 22.59