145.56/112.69 YES 145.56/112.70 Input TRS: 145.56/112.70 1: 2(5(3(0(x1)))) -> 1(0(0(1(3(0(4(5(1(2(x1)))))))))) 145.56/112.70 2: 1(3(5(4(3(x1))))) -> 2(1(4(1(4(0(3(0(1(1(x1)))))))))) 145.56/112.70 3: 5(1(3(5(0(x1))))) -> 5(1(4(3(0(4(4(5(2(1(x1)))))))))) 145.56/112.70 4: 5(4(4(2(5(x1))))) -> 4(3(1(1(1(1(5(3(3(5(x1)))))))))) 145.56/112.70 5: 2(2(5(0(5(4(x1)))))) -> 2(1(4(1(3(3(2(2(5(4(x1)))))))))) 145.56/112.70 6: 3(0(5(5(4(3(x1)))))) -> 3(3(0(3(2(3(5(5(1(0(x1)))))))))) 145.56/112.70 7: 3(5(4(3(5(2(x1)))))) -> 2(0(5(2(0(5(2(2(3(2(x1)))))))))) 145.56/112.70 8: 4(4(2(5(5(0(x1)))))) -> 4(4(0(0(3(3(3(2(2(3(x1)))))))))) 145.56/112.70 9: 4(5(3(5(5(0(x1)))))) -> 4(2(2(3(0(2(4(1(1(5(x1)))))))))) 145.56/112.70 10: 5(4(5(1(1(2(x1)))))) -> 5(4(0(3(3(3(3(2(5(5(x1)))))))))) 145.56/112.70 11: 5(5(5(5(5(3(x1)))))) -> 5(5(0(1(4(0(0(5(0(1(x1)))))))))) 145.56/112.70 12: 3(5(0(0(5(4(3(x1))))))) -> 0(1(2(1(1(5(5(2(1(0(x1)))))))))) 145.56/112.70 13: 3(5(4(2(5(2(3(x1))))))) -> 4(0(4(0(0(2(2(3(4(4(x1)))))))))) 145.56/112.70 14: 3(5(4(5(1(4(0(x1))))))) -> 1(1(1(0(0(3(3(1(2(5(x1)))))))))) 145.56/112.70 Number of strict rules: 14 145.56/112.70 Direct POLO(bPol) ... failed. 145.56/112.70 Uncurrying ... failed. 145.56/112.70 Dependency Pairs: 145.56/112.70 #1: #1(3(5(4(3(x1))))) -> #2(1(4(1(4(0(3(0(1(1(x1)))))))))) 145.56/112.70 #2: #1(3(5(4(3(x1))))) -> #1(4(1(4(0(3(0(1(1(x1))))))))) 145.56/112.70 #3: #1(3(5(4(3(x1))))) -> #4(1(4(0(3(0(1(1(x1)))))))) 145.56/112.70 #4: #1(3(5(4(3(x1))))) -> #1(4(0(3(0(1(1(x1))))))) 145.56/112.70 #5: #1(3(5(4(3(x1))))) -> #4(0(3(0(1(1(x1)))))) 145.56/112.70 #6: #1(3(5(4(3(x1))))) -> #3(0(1(1(x1)))) 145.56/112.70 #7: #1(3(5(4(3(x1))))) -> #1(1(x1)) 145.56/112.70 #8: #1(3(5(4(3(x1))))) -> #1(x1) 145.56/112.70 #9: #3(0(5(5(4(3(x1)))))) -> #3(3(0(3(2(3(5(5(1(0(x1)))))))))) 145.56/112.70 #10: #3(0(5(5(4(3(x1)))))) -> #3(0(3(2(3(5(5(1(0(x1))))))))) 145.56/112.70 #11: #3(0(5(5(4(3(x1)))))) -> #3(2(3(5(5(1(0(x1))))))) 145.56/112.70 #12: #3(0(5(5(4(3(x1)))))) -> #2(3(5(5(1(0(x1)))))) 145.56/112.70 #13: #3(0(5(5(4(3(x1)))))) -> #3(5(5(1(0(x1))))) 145.56/112.70 #14: #3(0(5(5(4(3(x1)))))) -> #5(5(1(0(x1)))) 145.56/112.70 #15: #3(0(5(5(4(3(x1)))))) -> #5(1(0(x1))) 145.56/112.70 #16: #3(0(5(5(4(3(x1)))))) -> #1(0(x1)) 145.56/112.70 #17: #3(5(4(2(5(2(3(x1))))))) -> #4(0(4(0(0(2(2(3(4(4(x1)))))))))) 145.56/112.70 #18: #3(5(4(2(5(2(3(x1))))))) -> #4(0(0(2(2(3(4(4(x1)))))))) 145.56/112.70 #19: #3(5(4(2(5(2(3(x1))))))) -> #2(2(3(4(4(x1))))) 145.56/112.70 #20: #3(5(4(2(5(2(3(x1))))))) -> #2(3(4(4(x1)))) 145.56/112.70 #21: #3(5(4(2(5(2(3(x1))))))) -> #3(4(4(x1))) 145.56/112.70 #22: #3(5(4(2(5(2(3(x1))))))) -> #4(4(x1)) 145.56/112.70 #23: #3(5(4(2(5(2(3(x1))))))) -> #4(x1) 145.56/112.70 #24: #4(5(3(5(5(0(x1)))))) -> #4(2(2(3(0(2(4(1(1(5(x1)))))))))) 145.56/112.70 #25: #4(5(3(5(5(0(x1)))))) -> #2(2(3(0(2(4(1(1(5(x1))))))))) 145.56/112.70 #26: #4(5(3(5(5(0(x1)))))) -> #2(3(0(2(4(1(1(5(x1)))))))) 145.56/112.70 #27: #4(5(3(5(5(0(x1)))))) -> #3(0(2(4(1(1(5(x1))))))) 145.56/112.70 #28: #4(5(3(5(5(0(x1)))))) -> #2(4(1(1(5(x1))))) 145.56/112.70 #29: #4(5(3(5(5(0(x1)))))) -> #4(1(1(5(x1)))) 145.56/112.70 #30: #4(5(3(5(5(0(x1)))))) -> #1(1(5(x1))) 145.56/112.70 #31: #4(5(3(5(5(0(x1)))))) -> #1(5(x1)) 145.56/112.70 #32: #4(5(3(5(5(0(x1)))))) -> #5(x1) 145.56/112.70 #33: #5(5(5(5(5(3(x1)))))) -> #5(5(0(1(4(0(0(5(0(1(x1)))))))))) 145.56/112.70 #34: #5(5(5(5(5(3(x1)))))) -> #5(0(1(4(0(0(5(0(1(x1))))))))) 145.56/112.70 #35: #5(5(5(5(5(3(x1)))))) -> #1(4(0(0(5(0(1(x1))))))) 145.56/112.70 #36: #5(5(5(5(5(3(x1)))))) -> #4(0(0(5(0(1(x1)))))) 145.56/112.70 #37: #5(5(5(5(5(3(x1)))))) -> #5(0(1(x1))) 145.56/112.70 #38: #5(5(5(5(5(3(x1)))))) -> #1(x1) 145.56/112.70 #39: #3(5(0(0(5(4(3(x1))))))) -> #1(2(1(1(5(5(2(1(0(x1))))))))) 145.56/112.70 #40: #3(5(0(0(5(4(3(x1))))))) -> #2(1(1(5(5(2(1(0(x1)))))))) 145.56/112.70 #41: #3(5(0(0(5(4(3(x1))))))) -> #1(1(5(5(2(1(0(x1))))))) 145.56/112.70 #42: #3(5(0(0(5(4(3(x1))))))) -> #1(5(5(2(1(0(x1)))))) 145.56/112.70 #43: #3(5(0(0(5(4(3(x1))))))) -> #5(5(2(1(0(x1))))) 145.56/112.70 #44: #3(5(0(0(5(4(3(x1))))))) -> #5(2(1(0(x1)))) 145.56/112.70 #45: #3(5(0(0(5(4(3(x1))))))) -> #2(1(0(x1))) 145.56/112.70 #46: #3(5(0(0(5(4(3(x1))))))) -> #1(0(x1)) 145.56/112.70 #47: #3(5(4(5(1(4(0(x1))))))) -> #1(1(1(0(0(3(3(1(2(5(x1)))))))))) 145.56/112.70 #48: #3(5(4(5(1(4(0(x1))))))) -> #1(1(0(0(3(3(1(2(5(x1))))))))) 145.56/112.70 #49: #3(5(4(5(1(4(0(x1))))))) -> #1(0(0(3(3(1(2(5(x1)))))))) 145.56/112.70 #50: #3(5(4(5(1(4(0(x1))))))) -> #3(3(1(2(5(x1))))) 145.56/112.70 #51: #3(5(4(5(1(4(0(x1))))))) -> #3(1(2(5(x1)))) 145.56/112.70 #52: #3(5(4(5(1(4(0(x1))))))) -> #1(2(5(x1))) 145.56/112.70 #53: #3(5(4(5(1(4(0(x1))))))) -> #2(5(x1)) 145.56/112.70 #54: #3(5(4(5(1(4(0(x1))))))) -> #5(x1) 145.56/112.70 #55: #3(5(4(3(5(2(x1)))))) -> #2(0(5(2(0(5(2(2(3(2(x1)))))))))) 145.56/112.70 #56: #3(5(4(3(5(2(x1)))))) -> #5(2(0(5(2(2(3(2(x1)))))))) 145.56/112.70 #57: #3(5(4(3(5(2(x1)))))) -> #2(0(5(2(2(3(2(x1))))))) 145.56/112.70 #58: #3(5(4(3(5(2(x1)))))) -> #5(2(2(3(2(x1))))) 145.56/112.70 #59: #3(5(4(3(5(2(x1)))))) -> #2(2(3(2(x1)))) 145.56/112.70 #60: #3(5(4(3(5(2(x1)))))) -> #2(3(2(x1))) 145.56/112.70 #61: #3(5(4(3(5(2(x1)))))) -> #3(2(x1)) 145.56/112.70 #62: #5(4(5(1(1(2(x1)))))) -> #5(4(0(3(3(3(3(2(5(5(x1)))))))))) 145.56/112.70 #63: #5(4(5(1(1(2(x1)))))) -> #4(0(3(3(3(3(2(5(5(x1))))))))) 145.56/112.70 #64: #5(4(5(1(1(2(x1)))))) -> #3(3(3(3(2(5(5(x1))))))) 145.56/112.70 #65: #5(4(5(1(1(2(x1)))))) -> #3(3(3(2(5(5(x1)))))) 145.56/112.70 #66: #5(4(5(1(1(2(x1)))))) -> #3(3(2(5(5(x1))))) 145.56/112.70 #67: #5(4(5(1(1(2(x1)))))) -> #3(2(5(5(x1)))) 145.56/112.70 #68: #5(4(5(1(1(2(x1)))))) -> #2(5(5(x1))) 145.56/112.70 #69: #5(4(5(1(1(2(x1)))))) -> #5(5(x1)) 145.56/112.70 #70: #5(4(5(1(1(2(x1)))))) -> #5(x1) 145.56/112.70 #71: #2(2(5(0(5(4(x1)))))) -> #2(1(4(1(3(3(2(2(5(4(x1)))))))))) 145.56/112.70 #72: #2(2(5(0(5(4(x1)))))) -> #1(4(1(3(3(2(2(5(4(x1))))))))) 145.56/112.70 #73: #2(2(5(0(5(4(x1)))))) -> #4(1(3(3(2(2(5(4(x1)))))))) 145.56/112.70 #74: #2(2(5(0(5(4(x1)))))) -> #1(3(3(2(2(5(4(x1))))))) 145.56/112.70 #75: #2(2(5(0(5(4(x1)))))) -> #3(3(2(2(5(4(x1)))))) 145.56/112.70 #76: #2(2(5(0(5(4(x1)))))) -> #3(2(2(5(4(x1))))) 145.56/112.70 #77: #2(2(5(0(5(4(x1)))))) -> #2(2(5(4(x1)))) 145.56/112.70 #78: #2(2(5(0(5(4(x1)))))) -> #2(5(4(x1))) 145.56/112.70 #79: #5(1(3(5(0(x1))))) -> #5(1(4(3(0(4(4(5(2(1(x1)))))))))) 145.56/112.70 #80: #5(1(3(5(0(x1))))) -> #1(4(3(0(4(4(5(2(1(x1))))))))) 145.56/112.70 #81: #5(1(3(5(0(x1))))) -> #4(3(0(4(4(5(2(1(x1)))))))) 145.56/112.70 #82: #5(1(3(5(0(x1))))) -> #3(0(4(4(5(2(1(x1))))))) 145.56/112.70 #83: #5(1(3(5(0(x1))))) -> #4(4(5(2(1(x1))))) 145.56/112.70 #84: #5(1(3(5(0(x1))))) -> #4(5(2(1(x1)))) 145.56/112.70 #85: #5(1(3(5(0(x1))))) -> #5(2(1(x1))) 145.56/112.70 #86: #5(1(3(5(0(x1))))) -> #2(1(x1)) 145.56/112.70 #87: #5(1(3(5(0(x1))))) -> #1(x1) 145.56/112.70 #88: #2(5(3(0(x1)))) -> #1(0(0(1(3(0(4(5(1(2(x1)))))))))) 145.56/112.70 #89: #2(5(3(0(x1)))) -> #1(3(0(4(5(1(2(x1))))))) 145.56/112.70 #90: #2(5(3(0(x1)))) -> #3(0(4(5(1(2(x1)))))) 145.56/112.70 #91: #2(5(3(0(x1)))) -> #4(5(1(2(x1)))) 145.56/112.70 #92: #2(5(3(0(x1)))) -> #5(1(2(x1))) 145.56/112.70 #93: #2(5(3(0(x1)))) -> #1(2(x1)) 145.56/112.70 #94: #2(5(3(0(x1)))) -> #2(x1) 145.56/112.70 #95: #4(4(2(5(5(0(x1)))))) -> #4(4(0(0(3(3(3(2(2(3(x1)))))))))) 145.56/112.70 #96: #4(4(2(5(5(0(x1)))))) -> #4(0(0(3(3(3(2(2(3(x1))))))))) 145.56/112.70 #97: #4(4(2(5(5(0(x1)))))) -> #3(3(3(2(2(3(x1)))))) 145.56/112.70 #98: #4(4(2(5(5(0(x1)))))) -> #3(3(2(2(3(x1))))) 145.56/112.70 #99: #4(4(2(5(5(0(x1)))))) -> #3(2(2(3(x1)))) 145.56/112.70 #100: #4(4(2(5(5(0(x1)))))) -> #2(2(3(x1))) 145.56/112.70 #101: #4(4(2(5(5(0(x1)))))) -> #2(3(x1)) 145.56/112.70 #102: #4(4(2(5(5(0(x1)))))) -> #3(x1) 145.56/112.70 #103: #5(4(4(2(5(x1))))) -> #4(3(1(1(1(1(5(3(3(5(x1)))))))))) 145.56/112.70 #104: #5(4(4(2(5(x1))))) -> #3(1(1(1(1(5(3(3(5(x1))))))))) 145.56/112.70 #105: #5(4(4(2(5(x1))))) -> #1(1(1(1(5(3(3(5(x1)))))))) 145.56/112.70 #106: #5(4(4(2(5(x1))))) -> #1(1(1(5(3(3(5(x1))))))) 145.56/112.70 #107: #5(4(4(2(5(x1))))) -> #1(1(5(3(3(5(x1)))))) 145.56/112.70 #108: #5(4(4(2(5(x1))))) -> #1(5(3(3(5(x1))))) 145.56/112.70 #109: #5(4(4(2(5(x1))))) -> #5(3(3(5(x1)))) 145.56/112.70 #110: #5(4(4(2(5(x1))))) -> #3(3(5(x1))) 145.56/112.70 #111: #5(4(4(2(5(x1))))) -> #3(5(x1)) 145.56/112.70 Number of SCCs: 3, DPs: 9 145.56/112.70 SCC { #94 } 145.56/112.70 POLO(Sum)... succeeded. 145.56/112.70 1 w: 0 145.56/112.70 4 w: 0 145.56/112.70 5 w: x1 145.56/112.70 3 w: x1 145.56/112.70 #2 w: x1 145.56/112.70 #4 w: 0 145.56/112.70 0 w: x1 + 1 145.56/112.70 #3 w: 0 145.56/112.70 #5 w: 0 145.56/112.70 2 w: 0 145.56/112.70 #1 w: 0 145.56/112.70 USABLE RULES: { } 145.56/112.70 Removed DPs: #94 145.56/112.70 Number of SCCs: 2, DPs: 8 145.56/112.70 SCC { #8 } 145.56/112.70 POLO(Sum)... succeeded. 145.56/112.70 1 w: 0 145.56/112.70 4 w: x1 145.56/112.70 5 w: x1 145.56/112.70 3 w: x1 + 1 145.56/112.70 #2 w: 0 145.56/112.70 #4 w: 0 145.56/112.70 0 w: 1 145.56/112.70 #3 w: 0 145.56/112.70 #5 w: 0 145.56/112.70 2 w: 0 145.56/112.70 #1 w: x1 145.56/112.70 USABLE RULES: { } 145.56/112.70 Removed DPs: #8 145.56/112.70 Number of SCCs: 1, DPs: 7 145.56/112.70 SCC { #22 #23 #32 #54 #70 #102 #111 } 145.56/112.70 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded. 145.56/112.70 1 w: max(x1 - 87, 0) 145.56/112.70 4 w: max(x1 + 40, 0) 145.56/112.70 5 w: max(x1 + 178, 0) 145.56/112.70 3 w: max(x1 - 231, 0) 145.56/112.70 #2 w: max(x1 - 1, 0) 145.56/112.70 #4 w: max(x1 + 1, 0) 145.56/112.70 0 w: max(x1 - 347, 0) 145.56/112.70 #3 w: max(x1 - 1, 0) 145.56/112.70 #5 w: max(x1 - 43, 0) 145.56/112.70 2 w: max(x1 - 37, 0) 145.56/112.70 #1 w: max(x1 - 1, 0) 145.56/112.70 USABLE RULES: { 1..14 } 145.56/112.70 Removed DPs: #22 #23 #54 #70 #102 #111 145.56/112.70 Number of SCCs: 0, DPs: 0 145.56/112.70 EOF