/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES ** BEGIN proof argument ** All the DP problems were proved finite. As all the involved DP processors are sound, the TRS under analysis terminates. ** 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! ## Applying the DP framework... ## 2 initial DP problems to solve. ## First, we try to decompose these problems into smaller problems. ## Round 1 [2 DP problems]: ## DP problem: Dependency pairs = [and^#(_0,or(_1,_2)) -> and^#(_0,_1), and^#(_0,or(_1,_2)) -> and^#(_0,_2), and^#(_0,and(_1,_1)) -> and^#(_0,_1)] TRS = {and(_0,or(_1,_2)) -> or(and(_0,_1),and(_0,_2)), and(_0,and(_1,_1)) -> and(_0,_1), or(or(_0,_1),and(_1,_2)) -> or(_0,_1), or(_0,and(_0,_1)) -> _0, or(true,_0) -> true, or(_0,false) -> _0, or(_0,_0) -> _0, or(_0,or(_1,_1)) -> or(_0,_1), and(_0,true) -> _0, and(false,_0) -> false, and(_0,_0) -> _0} ## Trying with homeomorphic embeddings... Success! This DP problem is finite. ## DP problem: Dependency pairs = [or^#(or(_0,_1),and(_1,_2)) -> or^#(_0,_1), or^#(_0,or(_1,_1)) -> or^#(_0,_1)] TRS = {and(_0,or(_1,_2)) -> or(and(_0,_1),and(_0,_2)), and(_0,and(_1,_1)) -> and(_0,_1), or(or(_0,_1),and(_1,_2)) -> or(_0,_1), or(_0,and(_0,_1)) -> _0, or(true,_0) -> true, or(_0,false) -> _0, or(_0,_0) -> _0, or(_0,or(_1,_1)) -> or(_0,_1), and(_0,true) -> _0, and(false,_0) -> false, and(_0,_0) -> _0} ## Trying with homeomorphic embeddings... Success! This DP problem is finite. ## All the DP problems were proved finite. As all the involved DP processors are sound, the TRS under analysis terminates. Proof run on Linux version 3.10.0-1160.25.1.el7.x86_64 for amd64 using Java version 1.8.0_292 ** END proof description ** Total number of generated unfolded rules = 0