details

property	value
status	complete
benchmark	Applicative_AG01_innermost__#4.8.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n042.star.cs.uiowa.edu
space	Uncurried_Applicative_11

run statistics

property	value
solver	sol 37957
configuration	hrs
runtime (wallclock)	18.1140570641 seconds
cpu usage	27.479947997
max memory	2.138963968E9

stage attributes

key	value
output-size	2934
starexec-result	NO

output

/export/starexec/sandbox/solver/bin/starexec_run_hrs /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- NO We split firstr-order part and higher-order part, and do modular checking by a general modularity. ******** FO SN check ******** Check non-SN using NTI (Non-Termination Inference by Payet) ******** Computation rules ******** (1) X + 0 => X (2) Y + s(U) => s(Y + U) (3) f(0,s(0),V) => f(V,V + V,V) (4) g(W,P) => W (5) g(X1,Y1) => Y1 backward process killed -- 1411 rule(s) generated forward+backward process killed -- 1105 rule(s) generated NO let R be the TRS under consideration f(0,s(0),_1) -> f(_1,plus(_1,_1),_1) is in elim_R(R) let r0 be the right-hand side of this rule p0 = 0 is a position in r0 we have r0|p0 = _1 g(_2,_3) -> _2 is in R let l'0 be the left-hand side of this rule theta0 = {_1/g(_2,_3)} is a mgu of r0|p0 and l'0 ==> f(0,s(0),g(_1,_2)) -> f(_1,plus(g(_1,_2),g(_1,_2)),g(_1,_2)) is in EU_R^1 let r1 be the right-hand side of this rule p1 = 1.0 is a position in r1 we have r1|p1 = g(_1,_2) g(_3,_4) -> _4 is in R let l'1 be the left-hand side of this rule theta1 = {_1/_3, _2/_4} is a mgu of r1|p1 and l'1 ==> f(0,s(0),g(_1,_2)) -> f(_1,plus(_2,g(_1,_2)),g(_1,_2)) is in EU_R^2 let r2 be the right-hand side of this rule p2 = 1.1 is a position in r2 we have r2|p2 = g(_1,_2) g(_3,_4) -> _3 is in R let l'2 be the left-hand side of this rule theta2 = {_1/_3, _2/_4} is a mgu of r2|p2 and l'2 ==> f(0,s(0),g(_1,_2)) -> f(_1,plus(_2,_1),g(_1,_2)) is in EU_R^3 let r3 be the right-hand side of this rule p3 = 1 is a position in r3 we have r3|p3 = plus(_2,_1) plus(_3,0) -> _3 is in R let l'3 be the left-hand side of this rule theta3 = {_1/0, _2/_3} is a mgu of r3|p3 and l'3 ==> f(0,s(0),g(0,_1)) -> f(0,_1,g(0,_1)) is in EU_R^4 let l be the left-hand side and r be the right-hand side of this rule let p = epsilon let theta = {_1/s(0)} let theta' = {} we have r|p = f(0,_1,g(0,_1)) and theta'(theta(l)) = theta(r|p) so, theta(l) = f(0,s(0),g(0,s(0))) is non-terminating w.r.t. R Termination disproved by the forward process proof stopped at iteration i=4, depth k=3 874 rule(s) generated >>NO ******** Signature ******** 0 : a cons : (e,f) -> f f : (a,a,a) -> b false : d filter : ((e -> d),f) -> f filter2 : (d,(e -> d),e,f) -> f g : (c,c) -> c map : ((e -> e),f) -> f nil : f plus : (a,a) -> a s : a -> a true : d ******** Computation Rules ******** (1) X + 0 => X (2) Y + s(U) => s(Y + U) (3) f(0,s(0),V) => f(V,V + V,V) (4) g(W,P) => W (5) g(X1,Y1) => Y1 (6) map(G1,nil) => nil (7) map(H1,cons(W1,P1)) => cons(H1[W1],map(H1,P1)) (8) filter(F2,nil) => nil (9) filter(Z2,cons(U2,V2)) => filter2(Z2[U2],Z2,U2,V2) (10) filter2(true,I2,P2,X3) => cons(P2,filter(I2,X3)) (11) filter2(false,Z3,U3,V3) => filter(Z3,V3) popout

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actions

all output return to HRS 58631