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HRS union beta 16688 pair #381734873
details
property
value
status
complete
benchmark
Applicative_first_order_05__#3.45.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n041.star.cs.uiowa.edu
space
Uncurried_Applicative_11
run statistics
property
value
solver
sol 37957
configuration
default
runtime (wallclock)
0.0674979686737 seconds
cpu usage
0.064943625
max memory
8900608.0
stage attributes
key
value
output-size
7114
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 We split firstr-order part and higher-order part, and do modular checking by a general modularity. ******** FO SN check ******** Check SN using NaTT (Nagoya Termination Tool) Input TRS: 1: f(s(X)) -> f(X) 2: g(cons(0(),Y)) -> g(Y) 3: g(cons(s(U),V)) -> s(U) 4: h(cons(W,P)) -> h(g(cons(W,P))) 5: _(X1,X2) -> X1 6: _(X1,X2) -> X2 Number of strict rules: 6 Direct POLO(bPol) ... removes: 1 3 5 6 2 h w: x1 + 8855 s w: 2 * x1 + 8366 _ w: 2 * x1 + 2 * x2 + 1 f w: 2 * x1 0 w: 1 cons w: 2 * x1 + x2 + 5854 g w: x1 Number of strict rules: 1 Direct POLO(bPol) ... failed. Uncurrying h 4: h^1_cons(W,P) -> h^1_g(cons(W,P)) 7: h(cons(_1,_2)) ->= h^1_cons(_1,_2) 8: h(g(_1)) ->= h^1_g(_1) Number of strict rules: 1 Direct POLO(bPol) ... removes: 4 8 7 h w: x1 + 3 s w: x1 h^1_g w: x1 _ w: x1 + x2 f w: x1 0 w: 0 cons w: 2 * x1 + x2 + 1 g w: 2 * x1 + 1 h^1_cons w: 2 * x1 + x2 + 3 Number of strict rules: 0 ... Input TRS: 1: f(s(X)) -> f(X) 2: g(cons(0(),Y)) -> g(Y) 3: g(cons(s(U),V)) -> s(U) 4: h(cons(W,P)) -> h(g(cons(W,P))) 5: _(X1,X2) -> X1 6: _(X1,X2) -> X2 Number of strict rules: 6 Direct POLO(bPol) ... removes: 1 3 5 6 2 h w: x1 + 8855 s w: 2 * x1 + 8366 _ w: 2 * x1 + 2 * x2 + 1 f w: 2 * x1 0 w: 1 cons w: 2 * x1 + x2 + 5854 g w: x1 Number of strict rules: 1 Direct POLO(bPol) ... failed. Uncurrying h 4: h^1_cons(W,P) -> h^1_g(cons(W,P)) 7: h(cons(_1,_2)) ->= h^1_cons(_1,_2) 8: h(g(_1)) ->= h^1_g(_1) Number of strict rules: 1 Direct POLO(bPol) ... removes: 4 8 7 h w: x1 + 3 s w: x1 h^1_g w: x1 _ w: x1 + x2 f w: x1 0 w: 0 cons w: 2 * x1 + x2 + 1 g w: 2 * x1 + 1 h^1_cons w: 2 * x1 + x2 + 3 Number of strict rules: 0 >>YES ******** Signature ******** map : ((d -> d),d) -> d nil : d cons : (d,d) -> d filter : ((d -> c),d) -> d filter2 : (c,(d -> c),d,d) -> d true : c false : c ******** Computation rules ******** (5) map(F1,nil) => nil (6) map(Z1,cons(U1,V1)) => cons(Z1[U1],map(Z1,V1)) (7) filter(I1,nil) => nil (8) filter(J1,cons(X2,Y2)) => filter2(J1[X2],J1,X2,Y2) (9) filter2(true,G2,V2,W2) => cons(V2,filter(G2,W2)) (10) filter2(false,J2,X3,Y3) => filter(J2,Y3)
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