details

property	value
status	complete
benchmark	Ex9_Luc06_FR.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n177.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	NTI-TC20-firstrun
configuration	Default 200
runtime (wallclock)	0.215406 seconds
cpu usage	0.361836
user time	0.312536
system time	0.0493
max virtual memory	113188.0
max residence set size	59260.0

stage attributes

key	value
starexec-result	NO

output

NO Prover = TRS(tech=GUIDED_UNF, nb_unfoldings=unlimited, unfold_variables=true, strategy=LEFTMOST_NE) ** BEGIN proof argument ** The following rule was generated while unfolding the analyzed TRS: [iteration = 4] f(n__a,n__b,n__b) -> f(n__a,n__b,n__b) Let l be the left-hand side and r be the right-hand side of this rule. Let p = epsilon, theta1 = {} and theta2 = {}. We have r|p = f(n__a,n__b,n__b) and theta2(theta1(l)) = theta1(r|p). Hence, the term theta1(l) = f(n__a,n__b,n__b) 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! ## Searching for a loop by unfolding (unfolding of variable subterms: ON)... # Iteration 0: no loop detected, 1 unfolded rule generated. # Iteration 1: no loop detected, 4 unfolded rules generated. # Iteration 2: no loop detected, 15 unfolded rules generated. # Iteration 3: no loop detected, 72 unfolded rules generated. # Iteration 4: loop detected, 2 unfolded rules generated. Here is the successful unfolding. Let IR be the TRS under analysis. L0 = f^#(n__a,_0,_0) -> f^#(activate(_0),b,n__b) is in U_IR^0. Let p0 = [0]. We unfold the rule of L0 forwards at position p0 with the rule activate(n__b) -> b. ==> L1 = f^#(n__a,n__b,n__b) -> f^#(b,b,n__b) is in U_IR^1. Let p1 = [0]. We unfold the rule of L1 forwards at position p1 with the rule b -> a. ==> L2 = f^#(n__a,n__b,n__b) -> f^#(a,b,n__b) is in U_IR^2. Let p2 = [0]. We unfold the rule of L2 forwards at position p2 with the rule a -> n__a. ==> L3 = f^#(n__a,n__b,n__b) -> f^#(n__a,b,n__b) is in U_IR^3. Let p3 = [1]. We unfold the rule of L3 forwards at position p3 with the rule b -> n__b. ==> L4 = f^#(n__a,n__b,n__b) -> f^#(n__a,n__b,n__b) is in U_IR^4. ** END proof description ** Proof stopped at iteration 4 Number of unfolded rules generated by this proof = 94 Number of unfolded rules generated by all the parallel proofs = 129 popout

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job log

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actions

all output return to TRS Standard