details

property	value
status	complete
benchmark	forward_instantiation.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n182.star.cs.uiowa.edu
space	AProVE_04

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.303033 seconds
cpu usage	0.243747
user time	0.108443
system time	0.135304
max virtual memory	113188.0
max residence set size	6228.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR v_NonEmpty:S x:S y:S z:S) (RULES f(x:S,y:S,z:S) -> g(x:S,y:S,z:S) g(0,1,x:S) -> f(x:S,x:S,x:S) ) Problem 1: Innermost Equivalent Processor: -> Rules: f(x:S,y:S,z:S) -> g(x:S,y:S,z:S) g(0,1,x:S) -> f(x:S,x:S,x:S) -> The term rewriting system is non-overlaping or locally confluent overlay system. Therefore, innermost termination implies termination. Problem 1: Dependency Pairs Processor: -> Pairs: F(x:S,y:S,z:S) -> G(x:S,y:S,z:S) G(0,1,x:S) -> F(x:S,x:S,x:S) -> Rules: f(x:S,y:S,z:S) -> g(x:S,y:S,z:S) g(0,1,x:S) -> f(x:S,x:S,x:S) Problem 1: SCC Processor: -> Pairs: F(x:S,y:S,z:S) -> G(x:S,y:S,z:S) G(0,1,x:S) -> F(x:S,x:S,x:S) -> Rules: f(x:S,y:S,z:S) -> g(x:S,y:S,z:S) g(0,1,x:S) -> f(x:S,x:S,x:S) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: F(x:S,y:S,z:S) -> G(x:S,y:S,z:S) G(0,1,x:S) -> F(x:S,x:S,x:S) ->->-> Rules: f(x:S,y:S,z:S) -> g(x:S,y:S,z:S) g(0,1,x:S) -> f(x:S,x:S,x:S) Problem 1: Reduction Pair Processor: -> Pairs: F(x:S,y:S,z:S) -> G(x:S,y:S,z:S) G(0,1,x:S) -> F(x:S,x:S,x:S) -> Rules: f(x:S,y:S,z:S) -> g(x:S,y:S,z:S) g(0,1,x:S) -> f(x:S,x:S,x:S) -> Usable rules: Empty ->Mace4 Output: ============================== Mace4 ================================= Mace4 (64) version 2009-11A, November 2009. Process 53783 was started by sandbox2 on n182.star.cs.uiowa.edu, Mon Jun 22 01:11:23 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,x3),f3(y,x2,x3)) # label(congruence). arrow_s0(x2,y) -> arrow_s0(f3(x1,x2,x3),f3(x1,y,x3)) # label(congruence). arrow_s0(x3,y) -> arrow_s0(f3(x1,x2,x3),f3(x1,x2,y)) # label(congruence). arrow_s0(x1,y) -> arrow_s0(f8(x1,x2,x3),f8(y,x2,x3)) # label(congruence). arrow_s0(x2,y) -> arrow_s0(f8(x1,x2,x3),f8(x1,y,x3)) # label(congruence). arrow_s0(x3,y) -> arrow_s0(f8(x1,x2,x3),f8(x1,x2,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(x,y) -> gtrsim_s0(x,y) # label(inclusion). sqsupset_s0(f8(x1,x2,x3),f9(x1,x2,x3)) # label(replacement). succeq_s0(f9(f4,f5,x1),f8(x1,x1,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. ============================== end of input ========================== popout

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