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TRS Equational pair #487092843
details
property
value
status
complete
benchmark
AC08.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n141.star.cs.uiowa.edu
space
Mixed_AC_and_C
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
3.70896 seconds
cpu usage
3.21754
user time
2.01508
system time
1.20247
max virtual memory
691740.0
max residence set size
7948.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR x y z) (THEORY (AC and or) (C eq neq)) (RULES and(x,or(x,y)) -> x and(x,false) -> false and(x,true) -> x and(x,x) -> x eq(x,x) -> true neq(x,x) -> false not(and(x,y)) -> or(not(x),not(y)) not(eq(x,y)) -> neq(x,y) not(neq(x,y)) -> eq(x,y) not(not(x)) -> x not(or(x,y)) -> and(not(x),not(y)) not(false) -> true not(true) -> false or(and(x,y),z) -> and(or(x,z),or(y,z)) or(x,false) -> x or(x,true) -> true or(x,x) -> x ) Problem 1: Dependency Pairs Processor: -> FAxioms: AND(and(x3,x4),x5) = AND(x3,and(x4,x5)) AND(x3,x4) = AND(x4,x3) EQ(x3,x4) = EQ(x4,x3) NEQ(x3,x4) = NEQ(x4,x3) OR(or(x3,x4),x5) = OR(x3,or(x4,x5)) OR(x3,x4) = OR(x4,x3) -> Pairs: AND(and(x,or(x,y)),x3) -> AND(x,x3) AND(and(x,false),x3) -> AND(false,x3) AND(and(x,true),x3) -> AND(x,x3) AND(and(x,x),x3) -> AND(x,x3) NOT(and(x,y)) -> NOT(x) NOT(and(x,y)) -> NOT(y) NOT(and(x,y)) -> OR(not(x),not(y)) NOT(eq(x,y)) -> NEQ(x,y) NOT(neq(x,y)) -> EQ(x,y) NOT(or(x,y)) -> AND(not(x),not(y)) NOT(or(x,y)) -> NOT(x) NOT(or(x,y)) -> NOT(y) OR(and(x,y),z) -> AND(or(x,z),or(y,z)) OR(and(x,y),z) -> OR(x,z) OR(and(x,y),z) -> OR(y,z) OR(or(and(x,y),z),x3) -> AND(or(x,z),or(y,z)) OR(or(and(x,y),z),x3) -> OR(and(or(x,z),or(y,z)),x3) OR(or(and(x,y),z),x3) -> OR(x,z) OR(or(and(x,y),z),x3) -> OR(y,z) OR(or(x,false),x3) -> OR(x,x3) OR(or(x,true),x3) -> OR(true,x3) OR(or(x,x),x3) -> OR(x,x3) -> EAxioms: and(and(x3,x4),x5) = and(x3,and(x4,x5)) and(x3,x4) = and(x4,x3) eq(x3,x4) = eq(x4,x3) neq(x3,x4) = neq(x4,x3) or(or(x3,x4),x5) = or(x3,or(x4,x5)) or(x3,x4) = or(x4,x3) -> Rules: and(x,or(x,y)) -> x and(x,false) -> false and(x,true) -> x and(x,x) -> x eq(x,x) -> true neq(x,x) -> false not(and(x,y)) -> or(not(x),not(y)) not(eq(x,y)) -> neq(x,y) not(neq(x,y)) -> eq(x,y) not(not(x)) -> x not(or(x,y)) -> and(not(x),not(y)) not(false) -> true not(true) -> false or(and(x,y),z) -> and(or(x,z),or(y,z)) or(x,false) -> x or(x,true) -> true or(x,x) -> x -> SRules: AND(and(x3,x4),x5) -> AND(x3,x4) AND(x3,and(x4,x5)) -> AND(x4,x5) OR(or(x3,x4),x5) -> OR(x3,x4) OR(x3,or(x4,x5)) -> OR(x4,x5) Problem 1: SCC Processor: -> FAxioms: AND(and(x3,x4),x5) = AND(x3,and(x4,x5)) AND(x3,x4) = AND(x4,x3) EQ(x3,x4) = EQ(x4,x3) NEQ(x3,x4) = NEQ(x4,x3)
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