/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... ## 1 initial DP problem to solve. ## First, we try to decompose this problem into smaller problems. ## Round 1 [1 DP problem]: ## DP problem: Dependency pairs = [and^#(xor(_0,_1),_2) -> and^#(_0,_2), and^#(xor(_0,_1),_2) -> and^#(_1,_2)] TRS = {not(_0) -> xor(_0,true), or(_0,_1) -> xor(and(_0,_1),xor(_0,_1)), implies(_0,_1) -> xor(and(_0,_1),xor(_0,true)), and(_0,true) -> _0, and(_0,false) -> false, and(_0,_0) -> _0, xor(_0,false) -> _0, xor(_0,_0) -> false, and(xor(_0,_1),_2) -> xor(and(_0,_2),and(_1,_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