details

property	value
status	complete
benchmark	BAG_nosorts-noand.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n007.star.cs.uiowa.edu
space	Mixed_AC

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	2.4828 seconds
cpu usage	6.22229
user time	5.99748
system time	0.22481
max virtual memory	1.8345796E7
max residence set size	354976.0

stage attributes

key	value
starexec-result	YES

output

5.99/2.39 YES 5.99/2.40 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 5.99/2.40 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 5.99/2.40 5.99/2.40 5.99/2.40 Termination of the given ETRS could be proven: 5.99/2.40 5.99/2.40 (0) ETRS 5.99/2.40 (1) RRRPoloETRSProof [EQUIVALENT, 220 ms] 5.99/2.40 (2) ETRS 5.99/2.40 (3) RRRPoloETRSProof [EQUIVALENT, 105 ms] 5.99/2.40 (4) ETRS 5.99/2.40 (5) RRRPoloETRSProof [EQUIVALENT, 46 ms] 5.99/2.40 (6) ETRS 5.99/2.40 (7) RRRPoloETRSProof [EQUIVALENT, 8 ms] 5.99/2.40 (8) ETRS 5.99/2.40 (9) RRRPoloETRSProof [EQUIVALENT, 13 ms] 5.99/2.40 (10) ETRS 5.99/2.40 (11) RRRPoloETRSProof [EQUIVALENT, 0 ms] 5.99/2.40 (12) ETRS 5.99/2.40 (13) RisEmptyProof [EQUIVALENT, 0 ms] 5.99/2.40 (14) YES 5.99/2.40 5.99/2.40 5.99/2.40 ---------------------------------------- 5.99/2.40 5.99/2.40 (0) 5.99/2.40 Obligation: 5.99/2.40 Equational rewrite system: 5.99/2.40 The TRS R consists of the following rules: 5.99/2.40 5.99/2.40 union(X, empty) -> X 5.99/2.40 union(empty, X) -> X 5.99/2.40 0(z) -> z 5.99/2.40 U11(tt, X, Y) -> U12(tt, X, Y) 5.99/2.40 U12(tt, X, Y) -> 0(mult(X, Y)) 5.99/2.40 U21(tt, X, Y) -> U22(tt, X, Y) 5.99/2.40 U22(tt, X, Y) -> plus(0(mult(X, Y)), Y) 5.99/2.40 U31(tt, X, Y) -> U32(tt, X, Y) 5.99/2.40 U32(tt, X, Y) -> 0(plus(X, Y)) 5.99/2.40 U41(tt, X, Y) -> U42(tt, X, Y) 5.99/2.40 U42(tt, X, Y) -> 1(plus(X, Y)) 5.99/2.40 U51(tt, X, Y) -> U52(tt, X, Y) 5.99/2.40 U52(tt, X, Y) -> 0(plus(plus(X, Y), 1(z))) 5.99/2.40 U61(tt, A, B) -> U62(tt, A, B) 5.99/2.40 U62(tt, A, B) -> mult(prod(A), prod(B)) 5.99/2.40 U71(tt, A, B) -> U72(tt, A, B) 5.99/2.40 U72(tt, A, B) -> plus(sum(A), sum(B)) 5.99/2.40 mult(z, X) -> z 5.99/2.40 mult(0(X), Y) -> U11(tt, X, Y) 5.99/2.40 mult(1(X), Y) -> U21(tt, X, Y) 5.99/2.40 plus(z, X) -> X 5.99/2.40 plus(0(X), 0(Y)) -> U31(tt, X, Y) 5.99/2.40 plus(0(X), 1(Y)) -> U41(tt, X, Y) 5.99/2.40 plus(1(X), 1(Y)) -> U51(tt, X, Y) 5.99/2.40 prod(empty) -> 1(z) 5.99/2.40 prod(singl(X)) -> X 5.99/2.40 prod(union(A, B)) -> U61(tt, A, B) 5.99/2.40 sum(empty) -> 0(z) 5.99/2.40 sum(singl(X)) -> X 5.99/2.40 sum(union(A, B)) -> U71(tt, A, B) 5.99/2.40 5.99/2.40 The set E consists of the following equations: 5.99/2.40 5.99/2.40 mult(x, y) == mult(y, x) 5.99/2.40 plus(x, y) == plus(y, x) 5.99/2.40 union(x, y) == union(y, x) 5.99/2.40 mult(mult(x, y), z') == mult(x, mult(y, z')) 5.99/2.40 plus(plus(x, y), z') == plus(x, plus(y, z')) 5.99/2.40 union(union(x, y), z') == union(x, union(y, z')) 5.99/2.40 5.99/2.40 5.99/2.40 ---------------------------------------- 5.99/2.40 5.99/2.40 (1) RRRPoloETRSProof (EQUIVALENT) 5.99/2.40 The following E TRS is given: Equational rewrite system: 5.99/2.40 The TRS R consists of the following rules: 5.99/2.40 5.99/2.40 union(X, empty) -> X 5.99/2.40 union(empty, X) -> X 5.99/2.40 0(z) -> z 5.99/2.40 U11(tt, X, Y) -> U12(tt, X, Y) 5.99/2.40 U12(tt, X, Y) -> 0(mult(X, Y)) 5.99/2.40 U21(tt, X, Y) -> U22(tt, X, Y) 5.99/2.40 U22(tt, X, Y) -> plus(0(mult(X, Y)), Y) 5.99/2.40 U31(tt, X, Y) -> U32(tt, X, Y) 5.99/2.40 U32(tt, X, Y) -> 0(plus(X, Y)) 5.99/2.40 U41(tt, X, Y) -> U42(tt, X, Y) 5.99/2.40 U42(tt, X, Y) -> 1(plus(X, Y)) 5.99/2.40 U51(tt, X, Y) -> U52(tt, X, Y) 5.99/2.40 U52(tt, X, Y) -> 0(plus(plus(X, Y), 1(z))) 5.99/2.40 U61(tt, A, B) -> U62(tt, A, B) 5.99/2.40 U62(tt, A, B) -> mult(prod(A), prod(B)) 5.99/2.40 U71(tt, A, B) -> U72(tt, A, B) 5.99/2.40 U72(tt, A, B) -> plus(sum(A), sum(B)) 5.99/2.40 mult(z, X) -> z 5.99/2.40 mult(0(X), Y) -> U11(tt, X, Y) 5.99/2.40 mult(1(X), Y) -> U21(tt, X, Y) 5.99/2.40 plus(z, X) -> X 5.99/2.40 plus(0(X), 0(Y)) -> U31(tt, X, Y) popout

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all output return to TRS_Equational 2019-03-21 05.09