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TRS Standard pair #487072135
details
property
value
status
complete
benchmark
Ex4_7_15_Bor03.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n073.star.cs.uiowa.edu
space
Strategy_removed_CSR_05
run statistics
property
value
solver
NTI-TC20-firstrun
configuration
Default 200
runtime (wallclock)
0.178578 seconds
cpu usage
0.236
user time
0.197508
system time
0.038492
max virtual memory
113188.0
max residence set size
50064.0
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(0) -> f(0) 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(0) and theta2(theta1(l)) = theta1(r|p). Hence, the term theta1(l) = f(0) 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, 3 unfolded rules generated. # Iteration 1: no loop detected, 3 unfolded rules generated. # Iteration 2: loop detected, 1 unfolded rule generated. Here is the successful unfolding. Let IR be the TRS under analysis. L0 = f^#(s(0)) -> f^#(p(s(0))) is in U_IR^0. Let p0 = epsilon. We unfold the rule of L0 backwards at position p0 with the dependency pair f^#(0) -> f^#(s(0)). ==> L1 = f^#(0) -> f^#(p(s(0))) is in U_IR^1. Let p1 = [0]. We unfold the rule of L1 forwards at position p1 with the rule p(s(0)) -> 0. ==> L2 = f^#(0) -> f^#(0) is in U_IR^2. ** END proof description ** Proof stopped at iteration 2 Number of unfolded rules generated by this proof = 7 Number of unfolded rules generated by all the parallel proofs = 7
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