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TRS_Conditional 2019-03-28 22.59 pair #432272638
details
property
value
status
complete
benchmark
jlap09-ex16.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n147.star.cs.uiowa.edu
space
Mixed_CTRS_2014
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.146811 seconds
cpu usage
0.062157
user time
0.034315
system time
0.027842
max virtual memory
113176.0
max residence set size
7564.0
stage attributes
key
value
starexec-result
YES
output
0.00/0.14 YES 0.00/0.14 0.00/0.14 Problem 1: 0.00/0.14 0.00/0.14 (VAR v_NonEmpty:S x:S) 0.00/0.14 (RULES 0.00/0.14 f(x:S) -> c | a ->* b 0.00/0.14 g(x:S,x:S) -> g(f(a),f(b)) 0.00/0.14 ) 0.00/0.14 0.00/0.14 Problem 1: 0.00/0.14 Valid CTRS Processor: 0.00/0.14 -> Rules: 0.00/0.14 f(x:S) -> c | a ->* b 0.00/0.14 g(x:S,x:S) -> g(f(a),f(b)) 0.00/0.14 -> The system is a deterministic 3-CTRS. 0.00/0.14 0.00/0.14 Problem 1: 0.00/0.14 0.00/0.14 Dependency Pairs Processor: 0.00/0.14 0.00/0.14 Conditional Termination Problem 1: 0.00/0.14 -> Pairs: 0.00/0.14 G(x:S,x:S) -> F(a) 0.00/0.14 G(x:S,x:S) -> F(b) 0.00/0.14 G(x:S,x:S) -> G(f(a),f(b)) 0.00/0.14 -> QPairs: 0.00/0.14 Empty 0.00/0.14 -> Rules: 0.00/0.14 f(x:S) -> c | a ->* b 0.00/0.14 g(x:S,x:S) -> g(f(a),f(b)) 0.00/0.14 0.00/0.14 Conditional Termination Problem 2: 0.00/0.14 -> Pairs: 0.00/0.14 Empty 0.00/0.14 -> QPairs: 0.00/0.14 Empty 0.00/0.14 -> Rules: 0.00/0.14 f(x:S) -> c | a ->* b 0.00/0.14 g(x:S,x:S) -> g(f(a),f(b)) 0.00/0.14 0.00/0.14 0.00/0.14 The problem is decomposed in 2 subproblems. 0.00/0.14 0.00/0.14 Problem 1.1: 0.00/0.14 0.00/0.14 SCC Processor: 0.00/0.14 -> Pairs: 0.00/0.14 G(x:S,x:S) -> F(a) 0.00/0.14 G(x:S,x:S) -> F(b) 0.00/0.14 G(x:S,x:S) -> G(f(a),f(b)) 0.00/0.14 -> QPairs: 0.00/0.14 Empty 0.00/0.14 -> Rules: 0.00/0.14 f(x:S) -> c | a ->* b 0.00/0.14 g(x:S,x:S) -> g(f(a),f(b)) 0.00/0.14 ->Strongly Connected Components: 0.00/0.14 ->->Cycle: 0.00/0.14 ->->-> Pairs: 0.00/0.14 G(x:S,x:S) -> G(f(a),f(b)) 0.00/0.14 -> QPairs: 0.00/0.14 Empty 0.00/0.14 ->->-> Rules: 0.00/0.14 f(x:S) -> c | a ->* b 0.00/0.14 g(x:S,x:S) -> g(f(a),f(b)) 0.00/0.14 0.00/0.14 Problem 1.1: 0.00/0.14 0.00/0.14 Reduction Pair Processor: 0.00/0.14 -> Pairs: 0.00/0.14 G(x:S,x:S) -> G(f(a),f(b)) 0.00/0.14 -> Rules: 0.00/0.14 f(x:S) -> c | a ->* b 0.00/0.14 g(x:S,x:S) -> g(f(a),f(b)) 0.00/0.14 -> Needed rules: 0.00/0.14 f(x:S) -> c | a ->* b 0.00/0.14 -> Usable rules: 0.00/0.14 Empty 0.00/0.14 ->Mace4 Output: 0.00/0.14 ============================== Mace4 ================================= 0.00/0.14 Mace4 (64) version 2009-11A, November 2009. 0.00/0.14 Process 47978 was started by sandbox on n147.star.cs.uiowa.edu, 0.00/0.14 Fri Mar 29 01:51:57 2019 0.00/0.14 The command was "./mace4 -c -f /tmp/mace41957747793424238335.in". 0.00/0.14 ============================== end of head =========================== 0.00/0.14 0.00/0.14 ============================== INPUT ================================= 0.00/0.14 0.00/0.14 % Reading from file /tmp/mace41957747793424238335.in 0.00/0.14 0.00/0.14 assign(max_seconds,20). 0.00/0.14 0.00/0.14 formulas(assumptions). 0.00/0.14 arrowStar_s0(x,x) # label(reflexivity). 0.00/0.14 arrow_s0(x,y) & arrowStar_s0(y,z) -> arrowStar_s0(x,z) # label(compatibility). 0.00/0.14 gtrsim_s0(x,y) & sqsupset_s0(y,z) -> sqsupset_s0(x,z) # label(compatibility). 0.00/0.14 succeq_s0(x,y) & sqsupset_s0(y,z) -> sqsupset_s0(x,z) # label(compatibility). 0.00/0.14 gtrsim_s0(x,y) & succeq_s0(y,z) -> gtrsim_s0(x,z) # label(compatibility). 0.00/0.14 arrow_s0(x1,y) -> arrow_s0(f2(x1),f2(y)) # label(congruence). 0.00/0.14 arrow_s0(x1,y) -> arrow_s0(f3(x1,x2),f3(y,x2)) # label(congruence).
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