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TRS Standard pair #487066845
details
property
value
status
complete
benchmark
lepper_6.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n186.star.cs.uiowa.edu
space
Hydras
run statistics
property
value
solver
NTI-TC20-firstrun
configuration
Default 200
runtime (wallclock)
49.2179 seconds
cpu usage
186.977
user time
174.356
system time
12.621
max virtual memory
3.5396896E7
max residence set size
1.2811612E7
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] P(_0,S(l(_1)),0,0,0,0,_2) -> P(_0,_0,0,0,0,0,0) Let l be the left-hand side and r be the right-hand side of this rule. Let p = epsilon, theta1 = {_0->S(l(_1)), _2->0} and theta2 = {}. We have r|p = P(_0,_0,0,0,0,0,0) and theta2(theta1(l)) = theta1(r|p). Hence, the term theta1(l) = P(S(l(_1)),S(l(_1)),0,0,0,0,0) 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, 237 unfolded rules generated. # Iteration 1: no loop detected, 6311 unfolded rules generated. # Iteration 2: loop detected, 420451 unfolded rules generated. Here is the successful unfolding. Let IR be the TRS under analysis. L0 = [P^#(_0,S(_1),0,0,0,0,_2) -> J2^#(_0,_1,_2), J2^#(_3,l(_4),_5) -> P^#(_3,J2(_3,_4,_5),0,0,0,0,0)] is in U_IR^0. We merge the first and the second rule of L0. ==> L1 = P^#(_0,S(l(_1)),0,0,0,0,_2) -> P^#(_0,J2(_0,_1,_2),0,0,0,0,0) is in U_IR^1. Let p1 = [1]. We unfold the rule of L1 forwards at position p1 with the rule J2(_0,_1,_2) -> _0. ==> L2 = P^#(S(l(_0)),S(l(_0)),0,0,0,0,0) -> P^#(S(l(_0)),S(l(_0)),0,0,0,0,0) is in U_IR^2. ** END proof description ** Proof stopped at iteration 2 Number of unfolded rules generated by this proof = 426999 Number of unfolded rules generated by all the parallel proofs = 426999
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