details

property	value
status	complete
benchmark	Ex1_GM03.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n093.star.cs.uiowa.edu
space	Strategy_removed_CSR_05

run statistics

property	value
solver	NTI_22
configuration	default
runtime (wallclock)	0.324042797089 seconds
cpu usage	0.481284248
max memory	4.9803264E7

stage attributes

key	value
output-size	2613
starexec-result	NO

output

/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- NO ** BEGIN proof argument ** The following rule was generated while unfolding the analyzed TRS: [iteration = 0] diff(_0,_1) -> diff(p(_0),_1) Let l be the left-hand side and r be the right-hand side of this rule. Let p = epsilon, theta1 = {} and theta2 = {_0->p(_0)}. We have r|p = diff(p(_0),_1) and theta2(theta1(l)) = theta1(r|p). Hence, the term theta1(l) = diff(_0,_1) loops w.r.t. the analyzed TRS. ** END proof argument ** ** BEGIN proof description ** ## Searching for a generalized rewrite rule (a rule whose right-hand side contains a variable that does not occur in the left-hand side)... No generalized rewrite rule found! ## Applying the DP framework... ## 2 initial DP problems to solve. ## First, we try to decompose these problems into smaller problems. ## Round 1 [2 DP problems]: ## DP problem: Dependency pairs = [diff^#(_0,_1) -> diff^#(p(_0),_1)] TRS = {p(0) -> 0, p(s(_0)) -> _0, leq(0,_0) -> true, leq(s(_0),0) -> false, leq(s(_0),s(_1)) -> leq(_0,_1), if(true,_0,_1) -> _0, if(false,_0,_1) -> _1, diff(_0,_1) -> if(leq(_0,_1),0,s(diff(p(_0),_1)))} ## Trying with homeomorphic embeddings... Failed! ## Trying with polynomial interpretations... This DP problem is too complex! Aborting! ## Trying with lexicographic path orders... Failed! ## Trying with Knuth-Bendix orders... Failed! Don't know whether this DP problem is finite. ## DP problem: Dependency pairs = [leq^#(s(_0),s(_1)) -> leq^#(_0,_1)] TRS = {p(0) -> 0, p(s(_0)) -> _0, leq(0,_0) -> true, leq(s(_0),0) -> false, leq(s(_0),s(_1)) -> leq(_0,_1), if(true,_0,_1) -> _0, if(false,_0,_1) -> _1, diff(_0,_1) -> if(leq(_0,_1),0,s(diff(p(_0),_1)))} ## Trying with homeomorphic embeddings... Success! This DP problem is finite. ## A DP problem could not be proved finite. ## Now, we try to prove that this problem is infinite. ## Trying to find a loop (forward=true, backward=true, max=20) # max_depth=20, unfold_variables=false: # Iteration 0: success, found a loop, 1 unfolded rule generated. Here is the successful unfolding. Let IR be the TRS under analysis. L0 = diff^#(_0,_1) -> diff^#(p(_0),_1) [trans] is in U_IR^0. This DP problem is infinite. Proof run on Linux version 3.10.0-1160.25.1.el7.x86_64 for amd64 using Java version 1.8.0_292 ** END proof description ** Total number of generated unfolded rules = 1 popout

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all output return to TRS Standard