/export/starexec/sandbox/solver/bin/starexec_run_Default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Input TRS: 1: +(0(),0()) -> 0() 2: +(0(),1()) -> 1() 3: +(0(),2()) -> 2() 4: +(0(),3()) -> 3() 5: +(0(),4()) -> 4() 6: +(0(),5()) -> 5() 7: +(0(),6()) -> 6() 8: +(0(),7()) -> 7() 9: +(0(),8()) -> 8() 10: +(0(),9()) -> 9() 11: +(1(),0()) -> 1() 12: +(1(),1()) -> 2() 13: +(1(),2()) -> 3() 14: +(1(),3()) -> 4() 15: +(1(),4()) -> 5() 16: +(1(),5()) -> 6() 17: +(1(),6()) -> 7() 18: +(1(),7()) -> 8() 19: +(1(),8()) -> 9() 20: +(1(),9()) -> c(1(),0()) 21: +(2(),0()) -> 2() 22: +(2(),1()) -> 3() 23: +(2(),2()) -> 4() 24: +(2(),3()) -> 5() 25: +(2(),4()) -> 6() 26: +(2(),5()) -> 7() 27: +(2(),6()) -> 8() 28: +(2(),7()) -> 9() 29: +(2(),8()) -> c(1(),0()) 30: +(2(),9()) -> c(1(),1()) 31: +(3(),0()) -> 3() 32: +(3(),1()) -> 4() 33: +(3(),2()) -> 5() 34: +(3(),3()) -> 6() 35: +(3(),4()) -> 7() 36: +(3(),5()) -> 8() 37: +(3(),6()) -> 9() 38: +(3(),7()) -> c(1(),0()) 39: +(3(),8()) -> c(1(),1()) 40: +(3(),9()) -> c(1(),2()) 41: +(4(),0()) -> 4() 42: +(4(),1()) -> 5() 43: +(4(),2()) -> 6() 44: +(4(),3()) -> 7() 45: +(4(),4()) -> 8() 46: +(4(),5()) -> 9() 47: +(4(),6()) -> c(1(),0()) 48: +(4(),7()) -> c(1(),1()) 49: +(4(),8()) -> c(1(),2()) 50: +(4(),9()) -> c(1(),3()) 51: +(5(),0()) -> 5() 52: +(5(),1()) -> 6() 53: +(5(),2()) -> 7() 54: +(5(),3()) -> 8() 55: +(5(),4()) -> 9() 56: +(5(),5()) -> c(1(),0()) 57: +(5(),6()) -> c(1(),1()) 58: +(5(),7()) -> c(1(),2()) 59: +(5(),8()) -> c(1(),3()) 60: +(5(),9()) -> c(1(),4()) 61: +(6(),0()) -> 6() 62: +(6(),1()) -> 7() 63: +(6(),2()) -> 8() 64: +(6(),3()) -> 9() 65: +(6(),4()) -> c(1(),0()) 66: +(6(),5()) -> c(1(),1()) 67: +(6(),6()) -> c(1(),2()) 68: +(6(),7()) -> c(1(),3()) 69: +(6(),8()) -> c(1(),4()) 70: +(6(),9()) -> c(1(),5()) 71: +(7(),0()) -> 7() 72: +(7(),1()) -> 8() 73: +(7(),2()) -> 9() 74: +(7(),3()) -> c(1(),0()) 75: +(7(),4()) -> c(1(),1()) 76: +(7(),5()) -> c(1(),2()) 77: +(7(),6()) -> c(1(),3()) 78: +(7(),7()) -> c(1(),4()) 79: +(7(),8()) -> c(1(),5()) 80: +(7(),9()) -> c(1(),6()) 81: +(8(),0()) -> 8() 82: +(8(),1()) -> 9() 83: +(8(),2()) -> c(1(),0()) 84: +(8(),3()) -> c(1(),1()) 85: +(8(),4()) -> c(1(),2()) 86: +(8(),5()) -> c(1(),3()) 87: +(8(),6()) -> c(1(),4()) 88: +(8(),7()) -> c(1(),5()) 89: +(8(),8()) -> c(1(),6()) 90: +(8(),9()) -> c(1(),7()) 91: +(9(),0()) -> 9() 92: +(9(),1()) -> c(1(),0()) 93: +(9(),2()) -> c(1(),1()) 94: +(9(),3()) -> c(1(),2()) 95: +(9(),4()) -> c(1(),3()) 96: +(9(),5()) -> c(1(),4()) 97: +(9(),6()) -> c(1(),5()) 98: +(9(),7()) -> c(1(),6()) 99: +(9(),8()) -> c(1(),7()) 100: +(9(),9()) -> c(1(),8()) 101: +(x,c(y,z)) -> c(y,+(x,z)) 102: +(c(x,y),z) -> c(x,+(y,z)) 103: c(0(),x) -> x 104: c(x,c(y,z)) -> c(+(x,y),z) Number of strict rules: 104 Direct POLO(bPol) ... removes: 18 50 80 104 4 103 15 8 54 1 77 3 16 21 36 68 85 100 26 63 19 32 17 60 27 87 84 34 22 28 65 44 5 72 33 64 93 92 10 39 7 88 20 25 49 52 30 62 14 82 89 56 79 31 12 69 96 45 78 81 23 70 24 94 76 57 98 11 9 13 51 90 40 67 55 59 6 38 61 58 74 75 48 71 53 47 73 91 97 99 37 41 95 42 46 66 83 35 29 43 86 2 7 w: 9 1 w: 3 4 w: 4 5 w: 7 3 w: 5 c w: x1 + x2 + 3 9 w: 11 8 w: 8 0 w: 1 2 w: 6 6 w: 10 + w: x1 + x2 + 1 Number of strict rules: 2 Direct POLO(bPol) ... removes: 102 7 w: 1 1 w: 1 4 w: 1 5 w: 2 3 w: 1 c w: x1 + x2 + 1 9 w: 5 8 w: 4 0 w: 1 2 w: 3 6 w: 2 + w: 2 * x1 + x2 + 1 Number of strict rules: 1 Direct POLO(bPol) ... removes: 101 7 w: 1 1 w: 1 4 w: 3 5 w: 2 3 w: 1 c w: x1 + x2 + 1 9 w: 5 8 w: 5 0 w: 1 2 w: 1 6 w: 1 + w: 2 * x1 + 2 * x2 + 1 Number of strict rules: 0