/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Input TRS: 1: active(f(X)) -> mark(g(h(f(X)))) 2: mark(f(X)) -> active(f(mark(X))) 3: mark(g(X)) -> active(g(X)) 4: mark(h(X)) -> active(h(mark(X))) 5: f(mark(X)) -> f(X) 6: f(active(X)) -> f(X) 7: g(mark(X)) -> g(X) 8: g(active(X)) -> g(X) 9: h(mark(X)) -> h(X) 10: h(active(X)) -> h(X) Number of strict rules: 10 Direct poly ... failed. Freezing ... failed. Dependency Pairs: #1: #mark(f(X)) -> #active(f(mark(X))) #2: #mark(f(X)) -> #f(mark(X)) #3: #mark(f(X)) -> #mark(X) #4: #f(active(X)) -> #f(X) #5: #h(mark(X)) -> #h(X) #6: #g(mark(X)) -> #g(X) #7: #h(active(X)) -> #h(X) #8: #f(mark(X)) -> #f(X) #9: #mark(g(X)) -> #active(g(X)) #10: #active(f(X)) -> #mark(g(h(f(X)))) #11: #active(f(X)) -> #g(h(f(X))) #12: #active(f(X)) -> #h(f(X)) #13: #g(active(X)) -> #g(X) #14: #mark(h(X)) -> #active(h(mark(X))) #15: #mark(h(X)) -> #h(mark(X)) #16: #mark(h(X)) -> #mark(X) Number of SCCs: 4, DPs: 8 SCC { #3 #16 } Sum... succeeded. h(x1) w: (1 + x1) f(x1) w: (1 + x1) #mark(x1) w: (x1) #h(x1) w: (0) mark(x1) w: (0) #f(x1) w: (0) #g(x1) w: (0) active(x1) w: (0) #active(x1) w: (0) g(x1) w: (0) USABLE RULES: { } Removed DPs: #3 #16 Number of SCCs: 3, DPs: 6 SCC { #6 #13 } Sum... succeeded. h(x1) w: (1) f(x1) w: (1) #mark(x1) w: (0) #h(x1) w: (0) mark(x1) w: (1 + x1) #f(x1) w: (0) #g(x1) w: (x1) active(x1) w: (1 + x1) #active(x1) w: (0) g(x1) w: (0) USABLE RULES: { } Removed DPs: #6 #13 Number of SCCs: 2, DPs: 4 SCC { #5 #7 } Sum... succeeded. h(x1) w: (1) f(x1) w: (1) #mark(x1) w: (0) #h(x1) w: (x1) mark(x1) w: (1 + x1) #f(x1) w: (0) #g(x1) w: (0) active(x1) w: (1 + x1) #active(x1) w: (0) g(x1) w: (0) USABLE RULES: { } Removed DPs: #5 #7 Number of SCCs: 1, DPs: 2 SCC { #4 #8 } Sum... succeeded. h(x1) w: (1) f(x1) w: (1) #mark(x1) w: (0) #h(x1) w: (0) mark(x1) w: (1 + x1) #f(x1) w: (x1) #g(x1) w: (0) active(x1) w: (1 + x1) #active(x1) w: (0) g(x1) w: (0) USABLE RULES: { } Removed DPs: #4 #8 Number of SCCs: 0, DPs: 0