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TRS_Equational 2019-03-21 05.09 pair #429997301
details
property
value
status
complete
benchmark
intersect.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n157.star.cs.uiowa.edu
space
Mixed_AC
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
3.66494 seconds
cpu usage
3.43297
user time
2.47567
system time
0.957292
max virtual memory
695508.0
max residence set size
12112.0
stage attributes
key
value
starexec-result
YES
output
3.35/3.66 YES 3.35/3.66 3.35/3.66 Problem 1: 3.35/3.66 3.35/3.66 (VAR x y z) 3.35/3.66 (THEORY 3.35/3.66 (AC inter union) 3.35/3.66 (C eq)) 3.35/3.66 (RULES 3.35/3.66 eq(0,0) -> true 3.35/3.66 eq(0,s(x)) -> false 3.35/3.66 eq(s(x),s(y)) -> eq(x,y) 3.35/3.66 if(false,x,y) -> y 3.35/3.66 if(true,x,y) -> x 3.35/3.66 inter(union(y,z),x) -> union(inter(x,y),inter(x,z)) 3.35/3.66 inter(empty,x) -> empty 3.35/3.66 inter(singl(x),singl(y)) -> if(eq(x,y),singl(x),empty) 3.35/3.66 union(empty,x) -> x 3.35/3.66 ) 3.35/3.66 3.35/3.66 Problem 1: 3.35/3.66 3.35/3.66 Dependency Pairs Processor: 3.35/3.66 -> FAxioms: 3.35/3.66 EQ(x3,x4) = EQ(x4,x3) 3.35/3.66 INTER(inter(x3,x4),x5) = INTER(x3,inter(x4,x5)) 3.35/3.66 INTER(x3,x4) = INTER(x4,x3) 3.35/3.66 UNION(union(x3,x4),x5) = UNION(x3,union(x4,x5)) 3.35/3.66 UNION(x3,x4) = UNION(x4,x3) 3.35/3.66 -> Pairs: 3.35/3.66 EQ(s(x),s(y)) -> EQ(x,y) 3.35/3.66 INTER(inter(union(y,z),x),x3) -> INTER(union(inter(x,y),inter(x,z)),x3) 3.35/3.66 INTER(inter(union(y,z),x),x3) -> INTER(x,y) 3.35/3.66 INTER(inter(union(y,z),x),x3) -> INTER(x,z) 3.35/3.66 INTER(inter(union(y,z),x),x3) -> UNION(inter(x,y),inter(x,z)) 3.35/3.66 INTER(inter(empty,x),x3) -> INTER(empty,x3) 3.35/3.66 INTER(inter(singl(x),singl(y)),x3) -> EQ(x,y) 3.35/3.66 INTER(inter(singl(x),singl(y)),x3) -> IF(eq(x,y),singl(x),empty) 3.35/3.66 INTER(inter(singl(x),singl(y)),x3) -> INTER(if(eq(x,y),singl(x),empty),x3) 3.35/3.66 INTER(union(y,z),x) -> INTER(x,y) 3.35/3.66 INTER(union(y,z),x) -> INTER(x,z) 3.35/3.66 INTER(union(y,z),x) -> UNION(inter(x,y),inter(x,z)) 3.35/3.66 INTER(singl(x),singl(y)) -> EQ(x,y) 3.35/3.66 INTER(singl(x),singl(y)) -> IF(eq(x,y),singl(x),empty) 3.35/3.66 UNION(union(empty,x),x3) -> UNION(x,x3) 3.35/3.66 -> EAxioms: 3.35/3.66 eq(x3,x4) = eq(x4,x3) 3.35/3.66 inter(inter(x3,x4),x5) = inter(x3,inter(x4,x5)) 3.35/3.66 inter(x3,x4) = inter(x4,x3) 3.35/3.66 union(union(x3,x4),x5) = union(x3,union(x4,x5)) 3.35/3.66 union(x3,x4) = union(x4,x3) 3.35/3.66 -> Rules: 3.35/3.66 eq(0,0) -> true 3.35/3.66 eq(0,s(x)) -> false 3.35/3.66 eq(s(x),s(y)) -> eq(x,y) 3.35/3.66 if(false,x,y) -> y 3.35/3.66 if(true,x,y) -> x 3.35/3.66 inter(union(y,z),x) -> union(inter(x,y),inter(x,z)) 3.35/3.66 inter(empty,x) -> empty 3.35/3.66 inter(singl(x),singl(y)) -> if(eq(x,y),singl(x),empty) 3.35/3.66 union(empty,x) -> x 3.35/3.66 -> SRules: 3.35/3.66 INTER(inter(x3,x4),x5) -> INTER(x3,x4) 3.35/3.66 INTER(x3,inter(x4,x5)) -> INTER(x4,x5) 3.35/3.66 UNION(union(x3,x4),x5) -> UNION(x3,x4) 3.35/3.66 UNION(x3,union(x4,x5)) -> UNION(x4,x5) 3.35/3.66 3.35/3.66 Problem 1: 3.35/3.66 3.35/3.66 SCC Processor: 3.35/3.66 -> FAxioms: 3.35/3.66 EQ(x3,x4) = EQ(x4,x3) 3.35/3.66 INTER(inter(x3,x4),x5) = INTER(x3,inter(x4,x5)) 3.35/3.66 INTER(x3,x4) = INTER(x4,x3) 3.35/3.66 UNION(union(x3,x4),x5) = UNION(x3,union(x4,x5)) 3.35/3.66 UNION(x3,x4) = UNION(x4,x3) 3.35/3.66 -> Pairs: 3.35/3.66 EQ(s(x),s(y)) -> EQ(x,y) 3.35/3.66 INTER(inter(union(y,z),x),x3) -> INTER(union(inter(x,y),inter(x,z)),x3) 3.35/3.66 INTER(inter(union(y,z),x),x3) -> INTER(x,y) 3.35/3.66 INTER(inter(union(y,z),x),x3) -> INTER(x,z) 3.35/3.66 INTER(inter(union(y,z),x),x3) -> UNION(inter(x,y),inter(x,z)) 3.35/3.66 INTER(inter(empty,x),x3) -> INTER(empty,x3) 3.35/3.66 INTER(inter(singl(x),singl(y)),x3) -> EQ(x,y) 3.35/3.66 INTER(inter(singl(x),singl(y)),x3) -> IF(eq(x,y),singl(x),empty) 3.35/3.66 INTER(inter(singl(x),singl(y)),x3) -> INTER(if(eq(x,y),singl(x),empty),x3) 3.35/3.66 INTER(union(y,z),x) -> INTER(x,y) 3.35/3.66 INTER(union(y,z),x) -> INTER(x,z) 3.35/3.66 INTER(union(y,z),x) -> UNION(inter(x,y),inter(x,z)) 3.35/3.66 INTER(singl(x),singl(y)) -> EQ(x,y) 3.35/3.66 INTER(singl(x),singl(y)) -> IF(eq(x,y),singl(x),empty) 3.35/3.66 UNION(union(empty,x),x3) -> UNION(x,x3) 3.35/3.66 -> EAxioms: 3.35/3.66 eq(x3,x4) = eq(x4,x3) 3.35/3.66 inter(inter(x3,x4),x5) = inter(x3,inter(x4,x5)) 3.35/3.66 inter(x3,x4) = inter(x4,x3) 3.35/3.66 union(union(x3,x4),x5) = union(x3,union(x4,x5)) 3.35/3.66 union(x3,x4) = union(x4,x3) 3.35/3.66 -> Rules: 3.35/3.66 eq(0,0) -> true
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