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TRS Stand 20472 pair #381712478
details
property
value
status
complete
benchmark
08.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n097.star.cs.uiowa.edu
space
Applicative_first_order_05
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
0.882666826248 seconds
cpu usage
1.995623919
max memory
2.7140096E8
stage attributes
key
value
output-size
24166
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem: app(D(),t()) -> 1() app(D(),constant()) -> 0() app(D(),app(app(+(),x),y)) -> app(app(+(),app(D(),x)),app(D(),y)) app(D(),app(app(*(),x),y)) -> app(app(+(),app(app(*(),y),app(D(),x))),app(app(*(),x),app(D(),y))) app(D(),app(app(-(),x),y)) -> app(app(-(),app(D(),x)),app(D(),y)) app(app(map(),f),nil()) -> nil() app(app(map(),f),app(app(cons(),x),xs)) -> app(app(cons(),app(f,x)),app(app(map(),f),xs)) app(app(filter(),f),nil()) -> nil() app(app(filter(),f),app(app(cons(),x),xs)) -> app(app(app(app(filter2(),app(f,x)),f),x),xs) app(app(app(app(filter2(),true()),f),x),xs) -> app(app(cons(),x),app(app(filter(),f),xs)) app(app(app(app(filter2(),false()),f),x),xs) -> app(app(filter(),f),xs) Proof: Extended Uncurrying Processor: application symbol: app symbol table: false ==> false0/0 true ==> true0/0 filter2 ==> filter20/0 filter21/1 filter22/2 filter23/3 filter24/4 filter ==> filter0/0 filter1/1 filter2/2 cons ==> cons0/0 cons1/1 cons2/2 nil ==> nil0/0 map ==> map0/0 map1/1 map2/2 - ==> -0/0 -1/1 -2/2 * ==> *0/0 *1/1 *2/2 + ==> +0/0 +1/1 +2/2 0 ==> 00/0 constant ==> constant0/0 1 ==> 10/0 t ==> t0/0 D ==> D0/0 D1/1 uncurry-rules: app(D0(),x4) -> D1(x4) app(+1(x10),x11) -> +2(x10,x11) app(+0(),x10) -> +1(x10) app(*1(x13),x14) -> *2(x13,x14) app(*0(),x13) -> *1(x13) app(-1(x16),x17) -> -2(x16,x17) app(-0(),x16) -> -1(x16) app(map1(x19),x20) -> map2(x19,x20) app(map0(),x19) -> map1(x19) app(cons1(x23),x24) -> cons2(x23,x24) app(cons0(),x23) -> cons1(x23) app(filter1(x26),x27) -> filter2(x26,x27) app(filter0(),x26) -> filter1(x26) app(filter23(x29,x30,x31),x32) -> filter24(x29,x30,x31,x32) app(filter22(x29,x30),x31) -> filter23(x29,x30,x31) app(filter21(x29),x30) -> filter22(x29,x30) app(filter20(),x29) -> filter21(x29) eta-rules: problem: D1(t0()) -> 10() D1(constant0()) -> 00() D1(+2(x,y)) -> +2(D1(x),D1(y)) D1(*2(x,y)) -> +2(*2(y,D1(x)),*2(x,D1(y))) D1(-2(x,y)) -> -2(D1(x),D1(y)) map2(f,nil0()) -> nil0() map2(f,cons2(x,xs)) -> cons2(app(f,x),map2(f,xs)) filter2(f,nil0()) -> nil0() filter2(f,cons2(x,xs)) -> filter24(app(f,x),f,x,xs) filter24(true0(),f,x,xs) -> cons2(x,filter2(f,xs)) filter24(false0(),f,x,xs) -> filter2(f,xs) app(D0(),x4) -> D1(x4) app(+1(x10),x11) -> +2(x10,x11) app(+0(),x10) -> +1(x10) app(*1(x13),x14) -> *2(x13,x14) app(*0(),x13) -> *1(x13) app(-1(x16),x17) -> -2(x16,x17) app(-0(),x16) -> -1(x16) app(map1(x19),x20) -> map2(x19,x20) app(map0(),x19) -> map1(x19) app(cons1(x23),x24) -> cons2(x23,x24) app(cons0(),x23) -> cons1(x23) app(filter1(x26),x27) -> filter2(x26,x27) app(filter0(),x26) -> filter1(x26) app(filter23(x29,x30,x31),x32) -> filter24(x29,x30,x31,x32) app(filter22(x29,x30),x31) -> filter23(x29,x30,x31) app(filter21(x29),x30) -> filter22(x29,x30) app(filter20(),x29) -> filter21(x29) DP Processor: DPs: D{1,#}(+2(x,y)) -> D{1,#}(y) D{1,#}(+2(x,y)) -> D{1,#}(x) D{1,#}(*2(x,y)) -> D{1,#}(y) D{1,#}(*2(x,y)) -> D{1,#}(x) D{1,#}(-2(x,y)) -> D{1,#}(y) D{1,#}(-2(x,y)) -> D{1,#}(x) map{2,#}(f,cons2(x,xs)) -> map{2,#}(f,xs) map{2,#}(f,cons2(x,xs)) -> app#(f,x)
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