/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Input TRS: 1: 0(1(2(3(4(5(1(x1))))))) -> 0(2(3(4(5(1(1(0(1(2(3(4(5(0(1(2(3(4(5(x1))))))))))))))))))) 2: 0(1(2(3(4(5(1(x1))))))) -> 1(2(3(4(5(1(1(0(1(2(3(4(5(0(1(2(3(4(5(0(1(2(3(4(5(x1))))))))))))))))))))))))) 3: 0(1(2(3(4(5(1(x1))))))) -> 1(2(3(4(5(1(1(0(1(2(3(4(5(0(1(2(3(4(5(0(1(2(3(4(5(0(1(2(3(4(5(x1))))))))))))))))))))))))))))))) Number of strict rules: 3 Direct poly ... failed. Freezing 0❆1_1 0 1: 0❆1_1❆1_2(3(4(5(1(x1))))) -> 0❆1_2(3(4(5(1(1(0❆1_1❆1_2(3(4(5(0❆1_1❆1_2(3(4(5(x1)))))))))))))) 2: 0❆1_1❆1_2(3(4(5(1(x1))))) -> 1(2(3(4(5(1(1(0❆1_1❆1_2(3(4(5(0❆1_1❆1_2(3(4(5(0❆1_1❆1_2(3(4(5(x1))))))))))))))))))) 3: 0❆1_1❆1_2(3(4(5(1(x1))))) -> 1(2(3(4(5(1(1(0❆1_1❆1_2(3(4(5(0❆1_1❆1_2(3(4(5(0❆1_1❆1_2(3(4(5(0❆1_1❆1_2(3(4(5(x1))))))))))))))))))))))) 4: 0(2(_1)) ->= 0❆1_2(_1) 5: 0(1(_1)) ->= 0❆1_1(_1) 6: 0❆1_1(2(_1)) ->= 0❆1_1❆1_2(_1) Number of strict rules: 3 Direct poly ... removes: 4 5 6 1(x1) w: (x1) 4(x1) w: (x1) 0❆1_2(x1) w: (x1) 5(x1) w: (x1) 3(x1) w: (x1) 0(x1) w: (6813 + x1) 0❆1_1❆1_2(x1) w: (x1) 0❆1_1(x1) w: (1 + x1) 2(x1) w: (x1) Number of strict rules: 3 Direct poly ... failed. Dependency Pairs: #1: #0❆1_1❆1_2(3(4(5(1(x1))))) -> #0❆1_1❆1_2(3(4(5(0❆1_1❆1_2(3(4(5(0❆1_1❆1_2(3(4(5(x1)))))))))))) #2: #0❆1_1❆1_2(3(4(5(1(x1))))) -> #0❆1_1❆1_2(3(4(5(0❆1_1❆1_2(3(4(5(x1)))))))) #3: #0❆1_1❆1_2(3(4(5(1(x1))))) -> #0❆1_1❆1_2(3(4(5(x1)))) #4: #0❆1_1❆1_2(3(4(5(1(x1))))) -> #0❆1_1❆1_2(3(4(5(0❆1_1❆1_2(3(4(5(0❆1_1❆1_2(3(4(5(0❆1_1❆1_2(3(4(5(x1)))))))))))))))) #5: #0❆1_1❆1_2(3(4(5(1(x1))))) -> #0❆1_1❆1_2(3(4(5(0❆1_1❆1_2(3(4(5(0❆1_1❆1_2(3(4(5(x1)))))))))))) #6: #0❆1_1❆1_2(3(4(5(1(x1))))) -> #0❆1_1❆1_2(3(4(5(0❆1_1❆1_2(3(4(5(x1)))))))) #7: #0❆1_1❆1_2(3(4(5(1(x1))))) -> #0❆1_1❆1_2(3(4(5(x1)))) #8: #0❆1_1❆1_2(3(4(5(1(x1))))) -> #0❆1_1❆1_2(3(4(5(0❆1_1❆1_2(3(4(5(x1)))))))) #9: #0❆1_1❆1_2(3(4(5(1(x1))))) -> #0❆1_1❆1_2(3(4(5(x1)))) Number of SCCs: 1, DPs: 9 SCC { #1..9 } Sum... succeeded. 1(x1) w: (4 + x1) 4(x1) w: (x1) 0❆1_2(x1) w: (0) 5(x1) w: (1 + x1) 3(x1) w: (x1) 0(x1) w: (0) 0❆1_1❆1_2(x1) w: (x1) 0❆1_1(x1) w: (0) #0❆1_1❆1_2(x1) w: (32285 + x1) 2(x1) w: (1) USABLE RULES: { 1..3 } Removed DPs: #1..9 Number of SCCs: 0, DPs: 0