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TRS Standard pair #487069347
details
property
value
status
complete
benchmark
wst99.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n175.star.cs.uiowa.edu
space
Rubio_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
1.52584 seconds
cpu usage
4.13252
user time
3.41198
system time
0.720534
max virtual memory
3414712.0
max residence set size
87796.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: din(der(plus(X,Y))) -> u21(din(der(X)),X,Y) u21(dout(DX),X,Y) -> u22(din(der(Y)),X,Y,DX) u22(dout(DY),X,Y,DX) -> dout(plus(DX,DY)) din(der(times(X,Y))) -> u31(din(der(X)),X,Y) u31(dout(DX),X,Y) -> u32(din(der(Y)),X,Y,DX) u32(dout(DY),X,Y,DX) -> dout(plus(times(X,DY),times(Y,DX))) din(der(der(X))) -> u41(din(der(X)),X) u41(dout(DX),X) -> u42(din(der(DX)),X,DX) u42(dout(DDX),X,DX) -> dout(DDX) Proof: DP Processor: DPs: din#(der(plus(X,Y))) -> din#(der(X)) din#(der(plus(X,Y))) -> u21#(din(der(X)),X,Y) u21#(dout(DX),X,Y) -> din#(der(Y)) u21#(dout(DX),X,Y) -> u22#(din(der(Y)),X,Y,DX) din#(der(times(X,Y))) -> din#(der(X)) din#(der(times(X,Y))) -> u31#(din(der(X)),X,Y) u31#(dout(DX),X,Y) -> din#(der(Y)) u31#(dout(DX),X,Y) -> u32#(din(der(Y)),X,Y,DX) din#(der(der(X))) -> din#(der(X)) din#(der(der(X))) -> u41#(din(der(X)),X) u41#(dout(DX),X) -> din#(der(DX)) u41#(dout(DX),X) -> u42#(din(der(DX)),X,DX) TRS: din(der(plus(X,Y))) -> u21(din(der(X)),X,Y) u21(dout(DX),X,Y) -> u22(din(der(Y)),X,Y,DX) u22(dout(DY),X,Y,DX) -> dout(plus(DX,DY)) din(der(times(X,Y))) -> u31(din(der(X)),X,Y) u31(dout(DX),X,Y) -> u32(din(der(Y)),X,Y,DX) u32(dout(DY),X,Y,DX) -> dout(plus(times(X,DY),times(Y,DX))) din(der(der(X))) -> u41(din(der(X)),X) u41(dout(DX),X) -> u42(din(der(DX)),X,DX) u42(dout(DDX),X,DX) -> dout(DDX) TDG Processor: DPs: din#(der(plus(X,Y))) -> din#(der(X)) din#(der(plus(X,Y))) -> u21#(din(der(X)),X,Y) u21#(dout(DX),X,Y) -> din#(der(Y)) u21#(dout(DX),X,Y) -> u22#(din(der(Y)),X,Y,DX) din#(der(times(X,Y))) -> din#(der(X)) din#(der(times(X,Y))) -> u31#(din(der(X)),X,Y) u31#(dout(DX),X,Y) -> din#(der(Y)) u31#(dout(DX),X,Y) -> u32#(din(der(Y)),X,Y,DX) din#(der(der(X))) -> din#(der(X)) din#(der(der(X))) -> u41#(din(der(X)),X) u41#(dout(DX),X) -> din#(der(DX)) u41#(dout(DX),X) -> u42#(din(der(DX)),X,DX) TRS: din(der(plus(X,Y))) -> u21(din(der(X)),X,Y) u21(dout(DX),X,Y) -> u22(din(der(Y)),X,Y,DX) u22(dout(DY),X,Y,DX) -> dout(plus(DX,DY)) din(der(times(X,Y))) -> u31(din(der(X)),X,Y) u31(dout(DX),X,Y) -> u32(din(der(Y)),X,Y,DX) u32(dout(DY),X,Y,DX) -> dout(plus(times(X,DY),times(Y,DX))) din(der(der(X))) -> u41(din(der(X)),X) u41(dout(DX),X) -> u42(din(der(DX)),X,DX) u42(dout(DDX),X,DX) -> dout(DDX) graph: u41#(dout(DX),X) -> din#(der(DX)) -> din#(der(der(X))) -> u41#(din(der(X)),X) u41#(dout(DX),X) -> din#(der(DX)) -> din#(der(der(X))) -> din#(der(X)) u41#(dout(DX),X) -> din#(der(DX)) -> din#(der(times(X,Y))) -> u31#(din(der(X)),X,Y) u41#(dout(DX),X) -> din#(der(DX)) -> din#(der(times(X,Y))) -> din#(der(X)) u41#(dout(DX),X) -> din#(der(DX)) -> din#(der(plus(X,Y))) -> u21#(din(der(X)),X,Y) u41#(dout(DX),X) -> din#(der(DX)) -> din#(der(plus(X,Y))) -> din#(der(X)) u31#(dout(DX),X,Y) -> din#(der(Y)) -> din#(der(der(X))) -> u41#(din(der(X)),X) u31#(dout(DX),X,Y) -> din#(der(Y)) -> din#(der(der(X))) -> din#(der(X)) u31#(dout(DX),X,Y) -> din#(der(Y)) -> din#(der(times(X,Y))) -> u31#(din(der(X)),X,Y) u31#(dout(DX),X,Y) -> din#(der(Y)) -> din#(der(times(X,Y))) -> din#(der(X)) u31#(dout(DX),X,Y) -> din#(der(Y)) -> din#(der(plus(X,Y))) -> u21#(din(der(X)),X,Y) u31#(dout(DX),X,Y) -> din#(der(Y)) -> din#(der(plus(X,Y))) -> din#(der(X)) u21#(dout(DX),X,Y) -> din#(der(Y)) -> din#(der(der(X))) -> u41#(din(der(X)),X) u21#(dout(DX),X,Y) -> din#(der(Y)) -> din#(der(der(X))) -> din#(der(X)) u21#(dout(DX),X,Y) -> din#(der(Y)) -> din#(der(times(X,Y))) -> u31#(din(der(X)),X,Y) u21#(dout(DX),X,Y) -> din#(der(Y)) -> din#(der(times(X,Y))) -> din#(der(X)) u21#(dout(DX),X,Y) -> din#(der(Y)) -> din#(der(plus(X,Y))) -> u21#(din(der(X)),X,Y) u21#(dout(DX),X,Y) -> din#(der(Y)) -> din#(der(plus(X,Y))) -> din#(der(X)) din#(der(times(X,Y))) -> u31#(din(der(X)),X,Y) ->
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