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TRS Standard pair #516967308
details
property
value
status
complete
benchmark
Ex9Maps.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
Applicative_05
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
0.288222074509 seconds
cpu usage
0.333223296
max memory
2.2454272E7
stage attributes
key
value
output-size
3369
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Input TRS: 1: app(app(map_1(),f),app(app(cons(),h),t)) -> app(app(cons(),app(f,h)),app(app(map_1(),f),t)) 2: app(app(app(map_2(),f),c),app(app(cons(),h),t)) -> app(app(cons(),app(app(f,h),c)),app(app(app(map_2(),f),c),t)) 3: app(app(app(app(map_3(),f),g()),c),app(app(cons(),h),t)) -> app(app(cons(),app(app(app(f,g()),h),c)),app(app(app(app(map_3(),f),g()),c),t)) Number of strict rules: 3 Direct poly ... failed. Freezing app 1: app❆2_map_1(f,app❆2_cons(h,t)) -> app❆2_cons(app(f,h),app❆2_map_1(f,t)) 2: app❆3_map_2(f,c,app❆2_cons(h,t)) -> app❆2_cons(app(app(f,h),c),app❆3_map_2(f,c,t)) 3: app❆4_map_3(f,g(),c,app❆2_cons(h,t)) -> app❆2_cons(app(app(app(f,g()),h),c),app❆4_map_3(f,g(),c,t)) 4: app(map_2(),_1) ->= app❆1_map_2(_1) 5: app(app❆1_map_2(_1),_2) ->= app❆2_map_2(_1,_2) 6: app(app❆2_map_2(_1,_2),_3) ->= app❆3_map_2(_1,_2,_3) 7: app(cons(),_1) ->= app❆1_cons(_1) 8: app(app❆1_cons(_1),_2) ->= app❆2_cons(_1,_2) 9: app(map_3(),_1) ->= app❆1_map_3(_1) 10: app(app❆1_map_3(_1),_2) ->= app❆2_map_3(_1,_2) 11: app(app❆2_map_3(_1,_2),_3) ->= app❆3_map_3(_1,_2,_3) 12: app(app❆3_map_3(_1,_2,_3),_4) ->= app❆4_map_3(_1,_2,_3,_4) 13: app(map_1(),_1) ->= app❆1_map_1(_1) 14: app(app❆1_map_1(_1),_2) ->= app❆2_map_1(_1,_2) Number of strict rules: 3 Direct poly ... failed. Dependency Pairs: #1: #app❆3_map_2(f,c,app❆2_cons(h,t)) -> #app(app(f,h),c) #2: #app❆3_map_2(f,c,app❆2_cons(h,t)) -> #app(f,h) #3: #app❆3_map_2(f,c,app❆2_cons(h,t)) -> #app❆3_map_2(f,c,t) #4: #app(app❆2_map_2(_1,_2),_3) ->? #app❆3_map_2(_1,_2,_3) #5: #app(app❆3_map_3(_1,_2,_3),_4) ->? #app❆4_map_3(_1,_2,_3,_4) #6: #app(app❆1_map_1(_1),_2) ->? #app❆2_map_1(_1,_2) #7: #app❆4_map_3(f,g(),c,app❆2_cons(h,t)) -> #app(app(app(f,g()),h),c) #8: #app❆4_map_3(f,g(),c,app❆2_cons(h,t)) -> #app(app(f,g()),h) #9: #app❆4_map_3(f,g(),c,app❆2_cons(h,t)) -> #app(f,g()) #10: #app❆4_map_3(f,g(),c,app❆2_cons(h,t)) -> #app❆4_map_3(f,g(),c,t) #11: #app❆2_map_1(f,app❆2_cons(h,t)) -> #app(f,h) #12: #app❆2_map_1(f,app❆2_cons(h,t)) -> #app❆2_map_1(f,t) Number of SCCs: 1, DPs: 12 SCC { #1..12 } Sum... Max... QLPOpS... NegMaxSum... succeeded. map_2() w: (0) app❆2_map_3(x1,x2) w: (max{0, 30616 + x2 + x1}) app❆1_map_2(x1) w: (max{0, x1}) app❆3_map_3(x1,x2,x3) w: (max{0, 61231 + x3 + x2 + x1}) #app❆3_map_2(x1,x2,x3) w: (max{0, 30616 + x3 + x2 + x1}) #app❆2_map_1(x1,x2) w: (max{0, 30616 + x2 + x1}) map_1() w: (0) app❆2_map_1(x1,x2) w: (max{0, 30616 + x2 + x1}) app❆4_map_3(x1,x2,x3,x4) w: (max{0, 91846 + x4 + x3 + x1}) app❆2_map_2(x1,x2) w: (max{0, 30615 + x2 + x1}) #app(x1,x2) w: (max{0, 30615 + x2 + x1}) #app❆4_map_3(x1,x2,x3,x4) w: (max{0, 1 + x4 + x3 + x1}) map_3() w: (0) cons() w: (71680) app❆2_cons(x1,x2) w: (max{0, 30613 + x2, 122460 + x1}) app❆1_cons(x1) w: (max{0, 102295 + x1}) app❆1_map_3(x1) w: (max{0, 24762 + x1}) g() w: (1) app❆1_map_1(x1) w: (max{0, 2 + x1}) app❆3_map_2(x1,x2,x3) w: (max{0, 61230 + x3 + x2 + x1}) app(x1,x2) w: (max{0, 30615 + x2 + x1}) USABLE RULES: { 1..14 } Removed DPs: #1..12 Number of SCCs: 0, DPs: 0
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