/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/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 = [not^#(and(_0,_1)) -> not^#(_0), not^#(and(_0,_1)) -> not^#(_1), not^#(or(_0,_1)) -> not^#(_0), not^#(or(_0,_1)) -> not^#(_1)] TRS = {not(and(_0,_1)) -> or(not(_0),not(_1)), not(or(_0,_1)) -> and(not(_0),not(_1)), and(_0,or(_1,_2)) -> or(and(_0,_1),and(_0,_2))} ## Trying with homeomorphic embeddings... Success! This DP problem is finite. ## DP problem: Dependency pairs = [and^#(_0,or(_1,_2)) -> and^#(_0,_1), and^#(_0,or(_1,_2)) -> and^#(_0,_2)] TRS = {not(and(_0,_1)) -> or(not(_0),not(_1)), not(or(_0,_1)) -> and(not(_0),not(_1)), and(_0,or(_1,_2)) -> or(and(_0,_1),and(_0,_2))} ## 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