details

property	value
status	complete
benchmark	4.40.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n182.star.cs.uiowa.edu
space	SK90

run statistics

property	value
solver	NTI-TC20-firstrun
configuration	Default 200
runtime (wallclock)	0.362984 seconds
cpu usage	0.829657
user time	0.771704
system time	0.057953
max virtual memory	113188.0
max residence set size	64676.0

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 = 2] f(f(f(a,f(f(a,a),b)),f(b,f(f(a,a),b))),f(f(a,a),b)) -> f(f(f(a,f(f(a,a),b)),f(b,f(f(a,a),b))),f(f(a,a),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(f(f(a,f(f(a,a),b)),f(b,f(f(a,a),b))),f(f(a,a),b)) and theta2(theta1(l)) = theta1(r|p). Hence, the term theta1(l) = f(f(f(a,f(f(a,a),b)),f(b,f(f(a,a),b))),f(f(a,a),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, 20 unfolded rules generated. # Iteration 2: loop detected, 37 unfolded rules generated. Here is the successful unfolding. Let IR be the TRS under analysis. L0 = f^#(f(f(a,_0),_1),_2) -> f^#(f(_0,_2),f(_1,_2)) is in U_IR^0. Let p0 = [0]. We unfold the rule of L0 forwards at position p0 with the rule f(f(f(a,_0),_1),_2) -> f(f(_0,_2),f(_1,_2)). ==> L1 = f^#(f(f(a,f(f(a,a),_0)),f(_0,f(f(a,a),_0))),f(f(a,a),_0)) -> f^#(f(f(a,f(f(a,a),_0)),f(_0,f(f(a,a),_0))),f(f(_0,f(f(a,a),_0)),f(f(a,a),_0))) is in U_IR^1. Let p1 = [1]. We unfold the rule of L1 forwards at position p1 with the rule f(f(b,_0),_1) -> _0. ==> L2 = f^#(f(f(a,f(f(a,a),b)),f(b,f(f(a,a),b))),f(f(a,a),b)) -> f^#(f(f(a,f(f(a,a),b)),f(b,f(f(a,a),b))),f(f(a,a),b)) is in U_IR^2. ** END proof description ** Proof stopped at iteration 2 Number of unfolded rules generated by this proof = 58 Number of unfolded rules generated by all the parallel proofs = 58 popout

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all output return to TRS Standard