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TRS_Equational 2019-03-21 05.09 pair #429997322
details
property
value
status
complete
benchmark
YWHM14_3.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n105.star.cs.uiowa.edu
space
Mixed_AC
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.275021 seconds
cpu usage
0.280401
user time
0.143138
system time
0.137263
max virtual memory
113176.0
max residence set size
5216.0
stage attributes
key
value
starexec-result
YES
output
0.00/0.27 YES 0.00/0.27 0.00/0.27 Problem 1: 0.00/0.27 0.00/0.27 (VAR x y) 0.00/0.27 (THEORY 0.00/0.27 (AC plus)) 0.00/0.27 (RULES 0.00/0.27 f(plus(x,y)) -> plus(f(x),y) 0.00/0.27 h(a,b) -> h(b,a) 0.00/0.27 h(a,g(g(a))) -> h(g(a),f(a)) 0.00/0.27 h(g(a),a) -> h(a,g(b)) 0.00/0.27 h(g(a),b) -> h(a,g(a)) 0.00/0.27 plus(f(a),g(b)) -> plus(f(b),g(a)) 0.00/0.27 plus(g(x),y) -> g(plus(x,y)) 0.00/0.27 ) 0.00/0.27 0.00/0.27 Problem 1: 0.00/0.27 0.00/0.27 Reduction Order Processor: 0.00/0.27 -> Rules: 0.00/0.27 f(plus(x,y)) -> plus(f(x),y) 0.00/0.27 h(a,b) -> h(b,a) 0.00/0.27 h(a,g(g(a))) -> h(g(a),f(a)) 0.00/0.27 h(g(a),a) -> h(a,g(b)) 0.00/0.27 h(g(a),b) -> h(a,g(a)) 0.00/0.27 plus(f(a),g(b)) -> plus(f(b),g(a)) 0.00/0.27 plus(g(x),y) -> g(plus(x,y)) 0.00/0.27 ->Interpretation type: 0.00/0.27 Linear 0.00/0.27 ->Coefficients: 0.00/0.27 Natural Numbers 0.00/0.27 ->Dimension: 0.00/0.27 1 0.00/0.27 ->Bound: 0.00/0.27 2 0.00/0.27 ->Interpretation: 0.00/0.27 0.00/0.27 [f](X) = 2.X 0.00/0.27 [h](X1,X2) = 2.X1 + 2.X2 0.00/0.27 [plus](X1,X2) = X1 + X2 + 1 0.00/0.27 [a] = 1 0.00/0.27 [b] = 1 0.00/0.27 [g](X) = X + 2 0.00/0.27 0.00/0.27 Problem 1: 0.00/0.27 0.00/0.27 Reduction Order Processor: 0.00/0.27 -> Rules: 0.00/0.27 h(a,b) -> h(b,a) 0.00/0.27 h(a,g(g(a))) -> h(g(a),f(a)) 0.00/0.27 h(g(a),a) -> h(a,g(b)) 0.00/0.27 h(g(a),b) -> h(a,g(a)) 0.00/0.27 plus(f(a),g(b)) -> plus(f(b),g(a)) 0.00/0.27 plus(g(x),y) -> g(plus(x,y)) 0.00/0.27 ->Interpretation type: 0.00/0.27 Linear 0.00/0.27 ->Coefficients: 0.00/0.27 Natural Numbers 0.00/0.27 ->Dimension: 0.00/0.27 1 0.00/0.27 ->Bound: 0.00/0.27 2 0.00/0.27 ->Interpretation: 0.00/0.27 0.00/0.27 [f](X) = X 0.00/0.27 [h](X1,X2) = 2.X1 + X2 0.00/0.27 [plus](X1,X2) = X1 + X2 + 1 0.00/0.27 [a] = 2 0.00/0.27 [b] = 1 0.00/0.27 [g](X) = X + 2 0.00/0.27 0.00/0.27 Problem 1: 0.00/0.27 0.00/0.27 Reduction Order Processor: 0.00/0.27 -> Rules: 0.00/0.27 h(a,g(g(a))) -> h(g(a),f(a)) 0.00/0.27 h(g(a),a) -> h(a,g(b)) 0.00/0.27 h(g(a),b) -> h(a,g(a)) 0.00/0.27 plus(f(a),g(b)) -> plus(f(b),g(a)) 0.00/0.27 plus(g(x),y) -> g(plus(x,y)) 0.00/0.27 ->Interpretation type: 0.00/0.27 Linear 0.00/0.27 ->Coefficients: 0.00/0.27 Natural Numbers 0.00/0.27 ->Dimension: 0.00/0.27 1 0.00/0.27 ->Bound: 0.00/0.27 2 0.00/0.27 ->Interpretation: 0.00/0.27 0.00/0.27 [f](X) = 2.X 0.00/0.27 [h](X1,X2) = 2.X1 + 2.X2 0.00/0.27 [plus](X1,X2) = X1 + X2 0.00/0.27 [a] = 1 0.00/0.27 [b] = 1 0.00/0.27 [g](X) = X + 2 0.00/0.27 0.00/0.27 Problem 1: 0.00/0.27
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