details

property	value
status	complete
benchmark	#4.12a.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n146.star.cs.uiowa.edu
space	AG01_innermost

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.2544 seconds
cpu usage	0.222013
user time	0.097805
system time	0.124208
max virtual memory	113188.0
max residence set size	5984.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR v_NonEmpty:S x:S y:S) (RULES f(0,1,x:S) -> h(x:S,x:S) g(x:S,y:S) -> x:S g(x:S,y:S) -> y:S h(x:S,y:S) -> f(x:S,y:S,x:S) ) (STRATEGY INNERMOST) Problem 1: Dependency Pairs Processor: -> Pairs: F(0,1,x:S) -> H(x:S,x:S) H(x:S,y:S) -> F(x:S,y:S,x:S) -> Rules: f(0,1,x:S) -> h(x:S,x:S) g(x:S,y:S) -> x:S g(x:S,y:S) -> y:S h(x:S,y:S) -> f(x:S,y:S,x:S) Problem 1: SCC Processor: -> Pairs: F(0,1,x:S) -> H(x:S,x:S) H(x:S,y:S) -> F(x:S,y:S,x:S) -> Rules: f(0,1,x:S) -> h(x:S,x:S) g(x:S,y:S) -> x:S g(x:S,y:S) -> y:S h(x:S,y:S) -> f(x:S,y:S,x:S) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: F(0,1,x:S) -> H(x:S,x:S) H(x:S,y:S) -> F(x:S,y:S,x:S) ->->-> Rules: f(0,1,x:S) -> h(x:S,x:S) g(x:S,y:S) -> x:S g(x:S,y:S) -> y:S h(x:S,y:S) -> f(x:S,y:S,x:S) Problem 1: Reduction Pair Processor: -> Pairs: F(0,1,x:S) -> H(x:S,x:S) H(x:S,y:S) -> F(x:S,y:S,x:S) -> Rules: f(0,1,x:S) -> h(x:S,x:S) g(x:S,y:S) -> x:S g(x:S,y:S) -> y:S h(x:S,y:S) -> f(x:S,y:S,x:S) -> Usable rules: Empty ->Mace4 Output: ============================== Mace4 ================================= Mace4 (64) version 2009-11A, November 2009. Process 57967 was started by sandbox on n146.star.cs.uiowa.edu, Sun Jun 21 23:43:53 2020 The command was "./mace4 -c -f /tmp/mace41497983152038664370.in". ============================== end of head =========================== ============================== INPUT ================================= % Reading from file /tmp/mace41497983152038664370.in assign(max_seconds,20). formulas(assumptions). gtrsim_s0(x,y) & sqsupset_s0(y,z) -> sqsupset_s0(x,z) # label(compatibility). succeq_s0(x,y) & sqsupset_s0(y,z) -> sqsupset_s0(x,z) # label(compatibility). gtrsim_s0(x,y) & succeq_s0(y,z) -> gtrsim_s0(x,z) # label(compatibility). arrow_s0(x1,y) -> arrow_s0(f2(x1,x2,x3),f2(y,x2,x3)) # label(congruence). arrow_s0(x2,y) -> arrow_s0(f2(x1,x2,x3),f2(x1,y,x3)) # label(congruence). arrow_s0(x3,y) -> arrow_s0(f2(x1,x2,x3),f2(x1,x2,y)) # label(congruence). arrow_s0(x1,y) -> arrow_s0(f3(x1,x2),f3(y,x2)) # label(congruence). arrow_s0(x2,y) -> arrow_s0(f3(x1,x2),f3(x1,y)) # label(congruence). arrow_s0(x1,y) -> arrow_s0(f4(x1,x2),f4(y,x2)) # label(congruence). arrow_s0(x2,y) -> arrow_s0(f4(x1,x2),f4(x1,y)) # label(congruence). arrow_s0(x1,y) -> arrow_s0(f9(x1,x2,x3),f9(y,x2,x3)) # label(congruence). arrow_s0(x2,y) -> arrow_s0(f9(x1,x2,x3),f9(x1,y,x3)) # label(congruence). arrow_s0(x3,y) -> arrow_s0(f9(x1,x2,x3),f9(x1,x2,y)) # label(congruence). arrow_s0(x1,y) -> arrow_s0(f10(x1,x2),f10(y,x2)) # label(congruence). arrow_s0(x2,y) -> arrow_s0(f10(x1,x2),f10(x1,y)) # label(congruence). arrow_s0(x,y) -> gtrsim_s0(x,y) # label(inclusion). sqsupset_s0(f9(f5,f6,x1),f10(x1,x1)) # label(replacement). succeq_s0(f10(x1,x2),f9(x1,x2,x1)) # label(replacement). sqsupset_s0(x,y) -> sqsupsetStar_s0(x,y) # label(inclusion). sqsupset_s0(x,y) & sqsupsetStar_s0(y,z) -> sqsupsetStar_s0(x,z) # label(compatibility). end_of_list. formulas(goals). (exists x sqsupsetStar_s0(x,x)) # label(wellfoundedness). end_of_list. popout

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all output return to TRS Innermost