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TRS_Equational 2019-03-21 05.09 pair #429997282
details
property
value
status
complete
benchmark
rationals.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n089.star.cs.uiowa.edu
space
Mixed_AC_and_C
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
42.0908 seconds
cpu usage
56.3679
user time
54.6064
system time
1.76153
max virtual memory
1.8609868E7
max residence set size
3662044.0
stage attributes
key
value
starexec-result
MAYBE
output
55.92/41.96 MAYBE 56.25/42.04 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 56.25/42.04 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 56.25/42.04 56.25/42.04 56.25/42.04 Termination of the given ETRS could not be shown: 56.25/42.04 56.25/42.04 (0) ETRS 56.25/42.04 (1) EquationalDependencyPairsProof [EQUIVALENT, 497 ms] 56.25/42.04 (2) EDP 56.25/42.04 (3) EDependencyGraphProof [EQUIVALENT, 0 ms] 56.25/42.04 (4) AND 56.25/42.04 (5) EDP 56.25/42.04 (6) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] 56.25/42.04 (7) EDP 56.25/42.04 (8) EUsableRulesReductionPairsProof [EQUIVALENT, 69 ms] 56.25/42.04 (9) EDP 56.25/42.04 (10) PisEmptyProof [EQUIVALENT, 0 ms] 56.25/42.04 (11) YES 56.25/42.04 (12) EDP 56.25/42.04 (13) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] 56.25/42.04 (14) EDP 56.25/42.04 (15) EUsableRulesReductionPairsProof [EQUIVALENT, 0 ms] 56.25/42.04 (16) EDP 56.25/42.04 (17) PisEmptyProof [EQUIVALENT, 0 ms] 56.25/42.04 (18) YES 56.25/42.04 (19) EDP 56.25/42.04 (20) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] 56.25/42.04 (21) EDP 56.25/42.04 (22) EUsableRulesReductionPairsProof [EQUIVALENT, 0 ms] 56.25/42.04 (23) EDP 56.25/42.04 (24) PisEmptyProof [EQUIVALENT, 0 ms] 56.25/42.04 (25) YES 56.25/42.04 (26) EDP 56.25/42.04 (27) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] 56.25/42.04 (28) EDP 56.25/42.04 (29) EUsableRulesReductionPairsProof [EQUIVALENT, 0 ms] 56.25/42.04 (30) EDP 56.25/42.04 (31) PisEmptyProof [EQUIVALENT, 0 ms] 56.25/42.04 (32) YES 56.25/42.04 (33) EDP 56.25/42.04 (34) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] 56.25/42.04 (35) EDP 56.25/42.04 (36) EUsableRulesReductionPairsProof [EQUIVALENT, 0 ms] 56.25/42.04 (37) EDP 56.25/42.04 (38) PisEmptyProof [EQUIVALENT, 0 ms] 56.25/42.04 (39) YES 56.25/42.04 (40) EDP 56.25/42.04 (41) ESharpUsableEquationsProof [EQUIVALENT, 197 ms] 56.25/42.04 (42) EDP 56.25/42.04 (43) EUsableRulesReductionPairsProof [EQUIVALENT, 261 ms] 56.25/42.04 (44) EDP 56.25/42.04 (45) ERuleRemovalProof [EQUIVALENT, 36 ms] 56.25/42.04 (46) EDP 56.25/42.04 (47) EDPPoloProof [EQUIVALENT, 28 ms] 56.25/42.04 (48) EDP 56.25/42.04 (49) PisEmptyProof [EQUIVALENT, 0 ms] 56.25/42.04 (50) YES 56.25/42.04 (51) EDP 56.25/42.04 (52) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] 56.25/42.04 (53) EDP 56.25/42.04 (54) EUsableRulesProof [EQUIVALENT, 0 ms] 56.25/42.04 (55) EDP 56.25/42.04 (56) EDP 56.25/42.04 56.25/42.04 56.25/42.04 ---------------------------------------- 56.25/42.04 56.25/42.04 (0) 56.25/42.04 Obligation: 56.25/42.04 Equational rewrite system: 56.25/42.04 The TRS R consists of the following rules: 56.25/42.04 56.25/42.04 0(#) -> # 56.25/42.04 +(#, x) -> x 56.25/42.04 +(0(x), 0(y)) -> 0(+(x, y)) 56.25/42.04 +(0(x), 1(y)) -> 1(+(x, y)) 56.25/42.04 +(0(x), j(y)) -> j(+(x, y)) 56.25/42.04 +(1(x), 1(y)) -> j(+(1(#), +(x, y))) 56.25/42.04 +(j(x), j(y)) -> 1(+(j(#), +(x, y))) 56.25/42.04 +(1(x), j(y)) -> 0(+(x, y)) 56.25/42.04 opp(#) -> # 56.25/42.04 opp(0(x)) -> 0(opp(x)) 56.25/42.04 opp(1(x)) -> j(opp(x)) 56.25/42.04 opp(j(x)) -> 1(opp(x)) 56.25/42.04 -(x, y) -> +(opp(y), x) 56.25/42.04 *(#, x) -> # 56.25/42.04 *(0(x), y) -> 0(*(x, y)) 56.25/42.04 *(1(x), y) -> +(0(*(x, y)), y) 56.25/42.04 *(j(x), y) -> -(0(*(x, y)), y) 56.25/42.04 abs(x) -> test_abs_pos(x, x) 56.25/42.04 test_abs_pos(#, x) -> x 56.25/42.04 test_abs_pos(0(x), y) -> test_abs_pos(x, y) 56.25/42.04 test_abs_pos(1(x), y) -> test_abs_pos(x, y) 56.25/42.04 test_abs_pos(j(x), y) -> test_abs_neg(x, y) 56.25/42.04 test_abs_neg(#, x) -> opp(x) 56.25/42.04 test_abs_neg(0(x), y) -> test_abs_neg(x, y) 56.25/42.04 test_abs_neg(1(x), y) -> test_abs_pos(x, y) 56.25/42.04 test_abs_neg(j(x), y) -> test_abs_neg(x, y) 56.25/42.04 signe(#) -> #
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