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TRS Context Sensitive pair #516978857
details
property
value
status
complete
benchmark
morse.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n070.star.cs.uiowa.edu
space
Transformed_outermost_08
run statistics
property
value
solver
AProVE21
configuration
standard
runtime (wallclock)
3.47797393799 seconds
cpu usage
10.579373624
max memory
7.84912384E8
stage attributes
key
value
output-size
67059
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished Termination of the given CSR could be proven: (0) CSR (1) CSRRRRProof [EQUIVALENT, 152 ms] (2) CSR (3) CSRRRRProof [EQUIVALENT, 21 ms] (4) CSR (5) CSRRRRProof [EQUIVALENT, 26 ms] (6) CSR (7) CSRRRRProof [EQUIVALENT, 27 ms] (8) CSR (9) CSRRRRProof [EQUIVALENT, 55 ms] (10) CSR (11) CSRRRRProof [EQUIVALENT, 51 ms] (12) CSR (13) CSRRRRProof [EQUIVALENT, 55 ms] (14) CSR (15) CSRRRRProof [EQUIVALENT, 45 ms] (16) CSR (17) CSRRRRProof [EQUIVALENT, 0 ms] (18) CSR (19) CSRRRRProof [EQUIVALENT, 0 ms] (20) CSR (21) CSRRRRProof [EQUIVALENT, 1 ms] (22) CSR (23) RisEmptyProof [EQUIVALENT, 0 ms] (24) YES ---------------------------------------- (0) Obligation: Context-sensitive rewrite system: The TRS R consists of the following rules: M_1 -> h_1(cons_1(0_0, tail_0(M_1))) tail_1(cons_2(x, s)) -> s tail_1(cons_3(x, s)) -> s tail_1(cons_4(x, s)) -> s *top*_0(tail_1(cons_5(x, s))) -> *top*_0(s) h_0(tail_1(cons_5(x, s))) -> h_1(s) tail_0(tail_1(cons_5(x, s))) -> tail_1(s) *top*_0(tail_1(cons_6(x, s))) -> *top*_0(s) h_0(tail_1(cons_6(x, s))) -> h_1(s) tail_0(tail_1(cons_6(x, s))) -> tail_1(s) tail_1(cons_7(x, s)) -> s tail_1(cons_8(x, s)) -> s tail_1(cons_9(x, s)) -> s *top*_0(tail_1(cons_10(x, s))) -> *top*_0(s) h_0(tail_1(cons_10(x, s))) -> h_1(s) tail_0(tail_1(cons_10(x, s))) -> tail_1(s) *top*_0(tail_1(cons_11(x, s))) -> *top*_0(s) h_0(tail_1(cons_11(x, s))) -> h_1(s) tail_0(tail_1(cons_11(x, s))) -> tail_1(s) h_0(tail_1(cons_1(x, s))) -> h_1(s) *top*_0(tail_1(cons_1(x, s))) -> *top*_0(s) h_0(tail_1(cons_1(x, s))) -> h_0(s) tail_0(tail_1(cons_1(x, s))) -> tail_1(s) tail_1(cons_1(x, s)) -> s *top*_0(h_1(cons_2(0_0, s))) -> *top*_0(cons_6(0_0, cons_1(1_0, h_0(s)))) h_0(h_1(cons_2(0_0, s))) -> h_1(cons_6(0_0, cons_1(1_0, h_0(s)))) tail_0(h_1(cons_2(0_0, s))) -> tail_1(cons_6(0_0, cons_1(1_0, h_0(s)))) *top*_0(h_1(cons_3(0_0, s))) -> *top*_0(cons_6(0_0, cons_1(1_0, h_0(s)))) h_0(h_1(cons_3(0_0, s))) -> h_1(cons_6(0_0, cons_1(1_0, h_0(s)))) tail_0(h_1(cons_3(0_0, s))) -> tail_1(cons_6(0_0, cons_1(1_0, h_0(s)))) *top*_0(h_1(cons_4(0_0, s))) -> *top*_0(cons_6(0_0, cons_1(1_0, h_0(s)))) h_0(h_1(cons_4(0_0, s))) -> h_1(cons_6(0_0, cons_1(1_0, h_0(s)))) tail_0(h_1(cons_4(0_0, s))) -> tail_1(cons_6(0_0, cons_1(1_0, h_0(s)))) *top*_0(h_1(cons_5(0_0, s))) -> *top*_0(cons_6(0_0, cons_7(1_0, h_1(s)))) h_0(h_1(cons_5(0_0, s))) -> h_1(cons_6(0_0, cons_7(1_0, h_1(s)))) tail_0(h_1(cons_5(0_0, s))) -> tail_1(cons_6(0_0, cons_7(1_0, h_1(s)))) *top*_0(h_1(cons_6(0_0, s))) -> *top*_0(cons_6(0_0, cons_8(1_0, h_1(s)))) h_0(h_1(cons_6(0_0, s))) -> h_1(cons_6(0_0, cons_8(1_0, h_1(s)))) tail_0(h_1(cons_6(0_0, s))) -> tail_1(cons_6(0_0, cons_8(1_0, h_1(s)))) *top*_0(h_1(cons_1(0_0, s))) -> *top*_0(cons_6(0_0, cons_1(1_0, h_0(s)))) h_0(h_1(cons_1(0_0, s))) -> h_1(cons_6(0_0, cons_1(1_0, h_0(s)))) tail_0(h_1(cons_1(0_0, s))) -> tail_1(cons_6(0_0, cons_1(1_0, h_0(s)))) *top*_0(h_1(cons_7(1_0, s))) -> *top*_0(cons_10(1_0, cons_1(0_0, h_0(s)))) h_0(h_1(cons_7(1_0, s))) -> h_1(cons_10(1_0, cons_1(0_0, h_0(s)))) tail_0(h_1(cons_7(1_0, s))) -> tail_1(cons_10(1_0, cons_1(0_0, h_0(s)))) *top*_0(h_1(cons_8(1_0, s))) -> *top*_0(cons_10(1_0, cons_1(0_0, h_0(s)))) h_0(h_1(cons_8(1_0, s))) -> h_1(cons_10(1_0, cons_1(0_0, h_0(s)))) tail_0(h_1(cons_8(1_0, s))) -> tail_1(cons_10(1_0, cons_1(0_0, h_0(s)))) *top*_0(h_1(cons_9(1_0, s))) -> *top*_0(cons_10(1_0, cons_1(0_0, h_0(s)))) h_0(h_1(cons_9(1_0, s))) -> h_1(cons_10(1_0, cons_1(0_0, h_0(s)))) tail_0(h_1(cons_9(1_0, s))) -> tail_1(cons_10(1_0, cons_1(0_0, h_0(s)))) *top*_0(h_1(cons_10(1_0, s))) -> *top*_0(cons_10(1_0, cons_2(0_0, h_1(s)))) h_0(h_1(cons_10(1_0, s))) -> h_1(cons_10(1_0, cons_2(0_0, h_1(s))))
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