Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
TRS Standard pair #487073970
details
property
value
status
complete
benchmark
ttt1.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n179.star.cs.uiowa.edu
space
Secret_05_TRS
run statistics
property
value
solver
NTI-TC20-firstrun
configuration
Default 200
runtime (wallclock)
0.182409 seconds
cpu usage
0.275281
user time
0.229137
system time
0.046144
max virtual memory
113188.0
max residence set size
57404.0
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(cons(s(a),_0),s(b),cons(s(a),_0)) -> f(cons(s(a),_0),_0,cons(s(a),_0)) Let l be the left-hand side and r be the right-hand side of this rule. Let p = epsilon, theta1 = {_0->s(b)} and theta2 = {}. We have r|p = f(cons(s(a),_0),_0,cons(s(a),_0)) and theta2(theta1(l)) = theta1(r|p). Hence, the term theta1(l) = f(cons(s(a),s(b)),s(b),cons(s(a),s(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, 6 unfolded rules generated. # Iteration 2: loop detected, 10 unfolded rules generated. Here is the successful unfolding. Let IR be the TRS under analysis. L0 = f^#(s(a),s(b),_0) -> f^#(_0,_0,_0) is in U_IR^0. Let p0 = [0]. We unfold the rule of L0 backwards at position p0 with the rule cons(_0,_1) -> _0. ==> L1 = f^#(cons(s(a),_0),s(b),cons(s(a),_0)) -> f^#(cons(s(a),_0),cons(s(a),_0),cons(s(a),_0)) is in U_IR^1. Let p1 = [1]. We unfold the rule of L1 forwards at position p1 with the rule cons(_0,_1) -> _1. ==> L2 = f^#(cons(s(a),s(b)),s(b),cons(s(a),s(b))) -> f^#(cons(s(a),s(b)),s(b),cons(s(a),s(b))) is in U_IR^2. ** END proof description ** Proof stopped at iteration 2 Number of unfolded rules generated by this proof = 17 Number of unfolded rules generated by all the parallel proofs = 18
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to TRS Standard