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TRS_Equational 2019-03-21 05.09 pair #429997286
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
n167.star.cs.uiowa.edu
space
Mixed_AC_and_C
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
4.08766 seconds
cpu usage
3.18794
user time
2.05044
system time
1.1375
max virtual memory
785180.0
max residence set size
8236.0
stage attributes
key
value
starexec-result
YES
output
3.07/4.08 YES 3.07/4.08 3.07/4.08 Problem 1: 3.07/4.08 3.07/4.08 (VAR x y z) 3.07/4.08 (THEORY 3.07/4.08 (AC and or) 3.07/4.08 (C eq neq)) 3.07/4.08 (RULES 3.07/4.08 and(x,or(x,y)) -> x 3.07/4.08 and(x,false) -> false 3.07/4.08 and(x,true) -> x 3.07/4.08 and(x,x) -> x 3.07/4.08 eq(x,x) -> true 3.07/4.08 neq(x,x) -> false 3.07/4.08 not(and(x,y)) -> or(not(x),not(y)) 3.07/4.08 not(eq(x,y)) -> neq(x,y) 3.07/4.08 not(neq(x,y)) -> eq(x,y) 3.07/4.08 not(not(x)) -> x 3.07/4.08 not(or(x,y)) -> and(not(x),not(y)) 3.07/4.08 not(false) -> true 3.07/4.08 not(true) -> false 3.07/4.08 or(and(x,y),z) -> and(or(x,z),or(y,z)) 3.07/4.08 or(x,false) -> x 3.07/4.08 or(x,true) -> true 3.07/4.08 or(x,x) -> x 3.07/4.08 ) 3.07/4.08 3.07/4.08 Problem 1: 3.07/4.08 3.07/4.08 Dependency Pairs Processor: 3.07/4.08 -> FAxioms: 3.07/4.08 AND(and(x3,x4),x5) = AND(x3,and(x4,x5)) 3.07/4.08 AND(x3,x4) = AND(x4,x3) 3.07/4.08 EQ(x3,x4) = EQ(x4,x3) 3.07/4.08 NEQ(x3,x4) = NEQ(x4,x3) 3.07/4.08 OR(or(x3,x4),x5) = OR(x3,or(x4,x5)) 3.07/4.08 OR(x3,x4) = OR(x4,x3) 3.07/4.08 -> Pairs: 3.07/4.08 AND(and(x,or(x,y)),x3) -> AND(x,x3) 3.07/4.08 AND(and(x,false),x3) -> AND(false,x3) 3.07/4.08 AND(and(x,true),x3) -> AND(x,x3) 3.07/4.08 AND(and(x,x),x3) -> AND(x,x3) 3.07/4.08 NOT(and(x,y)) -> NOT(x) 3.07/4.08 NOT(and(x,y)) -> NOT(y) 3.07/4.08 NOT(and(x,y)) -> OR(not(x),not(y)) 3.07/4.08 NOT(eq(x,y)) -> NEQ(x,y) 3.07/4.08 NOT(neq(x,y)) -> EQ(x,y) 3.07/4.08 NOT(or(x,y)) -> AND(not(x),not(y)) 3.07/4.08 NOT(or(x,y)) -> NOT(x) 3.07/4.08 NOT(or(x,y)) -> NOT(y) 3.07/4.08 OR(and(x,y),z) -> AND(or(x,z),or(y,z)) 3.07/4.08 OR(and(x,y),z) -> OR(x,z) 3.07/4.08 OR(and(x,y),z) -> OR(y,z) 3.07/4.08 OR(or(and(x,y),z),x3) -> AND(or(x,z),or(y,z)) 3.07/4.08 OR(or(and(x,y),z),x3) -> OR(and(or(x,z),or(y,z)),x3) 3.07/4.08 OR(or(and(x,y),z),x3) -> OR(x,z) 3.07/4.08 OR(or(and(x,y),z),x3) -> OR(y,z) 3.07/4.08 OR(or(x,false),x3) -> OR(x,x3) 3.07/4.08 OR(or(x,true),x3) -> OR(true,x3) 3.07/4.08 OR(or(x,x),x3) -> OR(x,x3) 3.07/4.08 -> EAxioms: 3.07/4.08 and(and(x3,x4),x5) = and(x3,and(x4,x5)) 3.07/4.08 and(x3,x4) = and(x4,x3) 3.07/4.08 eq(x3,x4) = eq(x4,x3) 3.07/4.08 neq(x3,x4) = neq(x4,x3) 3.07/4.08 or(or(x3,x4),x5) = or(x3,or(x4,x5)) 3.07/4.08 or(x3,x4) = or(x4,x3) 3.07/4.08 -> Rules: 3.07/4.08 and(x,or(x,y)) -> x 3.07/4.08 and(x,false) -> false 3.07/4.08 and(x,true) -> x 3.07/4.08 and(x,x) -> x 3.07/4.08 eq(x,x) -> true 3.07/4.08 neq(x,x) -> false 3.07/4.08 not(and(x,y)) -> or(not(x),not(y)) 3.07/4.08 not(eq(x,y)) -> neq(x,y) 3.07/4.08 not(neq(x,y)) -> eq(x,y) 3.07/4.08 not(not(x)) -> x 3.07/4.08 not(or(x,y)) -> and(not(x),not(y)) 3.07/4.08 not(false) -> true 3.07/4.08 not(true) -> false 3.07/4.08 or(and(x,y),z) -> and(or(x,z),or(y,z)) 3.07/4.08 or(x,false) -> x 3.07/4.08 or(x,true) -> true 3.07/4.08 or(x,x) -> x 3.07/4.08 -> SRules: 3.07/4.08 AND(and(x3,x4),x5) -> AND(x3,x4) 3.07/4.08 AND(x3,and(x4,x5)) -> AND(x4,x5) 3.07/4.08 OR(or(x3,x4),x5) -> OR(x3,x4) 3.07/4.08 OR(x3,or(x4,x5)) -> OR(x4,x5) 3.07/4.08 3.07/4.08 Problem 1: 3.07/4.08 3.07/4.08 SCC Processor: 3.07/4.08 -> FAxioms: 3.07/4.08 AND(and(x3,x4),x5) = AND(x3,and(x4,x5)) 3.07/4.08 AND(x3,x4) = AND(x4,x3) 3.07/4.08 EQ(x3,x4) = EQ(x4,x3) 3.07/4.08 NEQ(x3,x4) = NEQ(x4,x3)
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