/export/starexec/sandbox/solver/bin/starexec_run_Default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Input TRS: 1: active(dbl(0())) -> mark(0()) 2: active(dbl(s(X))) -> mark(s(s(dbl(X)))) 3: active(dbls(nil())) -> mark(nil()) 4: active(dbls(cons(X,Y))) -> mark(cons(dbl(X),dbls(Y))) 5: active(sel(0(),cons(X,Y))) -> mark(X) 6: active(sel(s(X),cons(Y,Z))) -> mark(sel(X,Z)) 7: active(indx(nil(),X)) -> mark(nil()) 8: active(indx(cons(X,Y),Z)) -> mark(cons(sel(X,Z),indx(Y,Z))) 9: active(from(X)) -> mark(cons(X,from(s(X)))) 10: active(dbl1(0())) -> mark(01()) 11: active(dbl1(s(X))) -> mark(s1(s1(dbl1(X)))) 12: active(sel1(0(),cons(X,Y))) -> mark(X) 13: active(sel1(s(X),cons(Y,Z))) -> mark(sel1(X,Z)) 14: active(quote(0())) -> mark(01()) 15: active(quote(s(X))) -> mark(s1(quote(X))) 16: active(quote(dbl(X))) -> mark(dbl1(X)) 17: active(quote(sel(X,Y))) -> mark(sel1(X,Y)) 18: mark(dbl(X)) -> active(dbl(mark(X))) 19: mark(0()) -> active(0()) 20: mark(s(X)) -> active(s(X)) 21: mark(dbls(X)) -> active(dbls(mark(X))) 22: mark(nil()) -> active(nil()) 23: mark(cons(X1,X2)) -> active(cons(X1,X2)) 24: mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) 25: mark(indx(X1,X2)) -> active(indx(mark(X1),X2)) 26: mark(from(X)) -> active(from(X)) 27: mark(dbl1(X)) -> active(dbl1(mark(X))) 28: mark(01()) -> active(01()) 29: mark(s1(X)) -> active(s1(mark(X))) 30: mark(sel1(X1,X2)) -> active(sel1(mark(X1),mark(X2))) 31: mark(quote(X)) -> active(quote(mark(X))) 32: dbl(mark(X)) -> dbl(X) 33: dbl(active(X)) -> dbl(X) 34: s(mark(X)) -> s(X) 35: s(active(X)) -> s(X) 36: dbls(mark(X)) -> dbls(X) 37: dbls(active(X)) -> dbls(X) 38: cons(mark(X1),X2) -> cons(X1,X2) 39: cons(X1,mark(X2)) -> cons(X1,X2) 40: cons(active(X1),X2) -> cons(X1,X2) 41: cons(X1,active(X2)) -> cons(X1,X2) 42: sel(mark(X1),X2) -> sel(X1,X2) 43: sel(X1,mark(X2)) -> sel(X1,X2) 44: sel(active(X1),X2) -> sel(X1,X2) 45: sel(X1,active(X2)) -> sel(X1,X2) 46: indx(mark(X1),X2) -> indx(X1,X2) 47: indx(X1,mark(X2)) -> indx(X1,X2) 48: indx(active(X1),X2) -> indx(X1,X2) 49: indx(X1,active(X2)) -> indx(X1,X2) 50: from(mark(X)) -> from(X) 51: from(active(X)) -> from(X) 52: dbl1(mark(X)) -> dbl1(X) 53: dbl1(active(X)) -> dbl1(X) 54: s1(mark(X)) -> s1(X) 55: s1(active(X)) -> s1(X) 56: sel1(mark(X1),X2) -> sel1(X1,X2) 57: sel1(X1,mark(X2)) -> sel1(X1,X2) 58: sel1(active(X1),X2) -> sel1(X1,X2) 59: sel1(X1,active(X2)) -> sel1(X1,X2) 60: quote(mark(X)) -> quote(X) 61: quote(active(X)) -> quote(X) Number of strict rules: 61 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #active(dbl(s(X))) -> #mark(s(s(dbl(X)))) #2: #active(dbl(s(X))) -> #s(s(dbl(X))) #3: #active(dbl(s(X))) -> #s(dbl(X)) #4: #active(dbl(s(X))) -> #dbl(X) #5: #sel(X1,mark(X2)) -> #sel(X1,X2) #6: #mark(s1(X)) -> #active(s1(mark(X))) #7: #mark(s1(X)) -> #s1(mark(X)) #8: #mark(s1(X)) -> #mark(X) #9: #s(active(X)) -> #s(X) #10: #indx(mark(X1),X2) -> #indx(X1,X2) #11: #sel(mark(X1),X2) -> #sel(X1,X2) #12: #cons(X1,active(X2)) -> #cons(X1,X2) #13: #dbls(active(X)) -> #dbls(X) #14: #indx(X1,mark(X2)) -> #indx(X1,X2) #15: #dbl1(active(X)) -> #dbl1(X) #16: #indx(active(X1),X2) -> #indx(X1,X2) #17: #sel1(active(X1),X2) -> #sel1(X1,X2) #18: #quote(active(X)) -> #quote(X) #19: #cons(mark(X1),X2) -> #cons(X1,X2) #20: #active(sel(s(X),cons(Y,Z))) -> #mark(sel(X,Z)) #21: #active(sel(s(X),cons(Y,Z))) -> #sel(X,Z) #22: #sel1(X1,active(X2)) -> #sel1(X1,X2) #23: #s1(active(X)) -> #s1(X) #24: #cons(active(X1),X2) -> #cons(X1,X2) #25: #from(active(X)) -> #from(X) #26: #active(sel1(s(X),cons(Y,Z))) -> #mark(sel1(X,Z)) #27: #active(sel1(s(X),cons(Y,Z))) -> #sel1(X,Z) #28: #active(from(X)) -> #mark(cons(X,from(s(X)))) #29: #active(from(X)) -> #cons(X,from(s(X))) #30: #active(from(X)) -> #from(s(X)) #31: #active(from(X)) -> #s(X) #32: #active(dbl1(s(X))) -> #mark(s1(s1(dbl1(X)))) #33: #active(dbl1(s(X))) -> #s1(s1(dbl1(X))) #34: #active(dbl1(s(X))) -> #s1(dbl1(X)) #35: #active(dbl1(s(X))) -> #dbl1(X) #36: #sel1(X1,mark(X2)) -> #sel1(X1,X2) #37: #mark(sel(X1,X2)) -> #active(sel(mark(X1),mark(X2))) #38: #mark(sel(X1,X2)) -> #sel(mark(X1),mark(X2)) #39: #mark(sel(X1,X2)) -> #mark(X1) #40: #mark(sel(X1,X2)) -> #mark(X2) #41: #mark(cons(X1,X2)) -> #active(cons(X1,X2)) #42: #sel(X1,active(X2)) -> #sel(X1,X2) #43: #active(sel1(0(),cons(X,Y))) -> #mark(X) #44: #mark(quote(X)) -> #active(quote(mark(X))) #45: #mark(quote(X)) -> #quote(mark(X)) #46: #mark(quote(X)) -> #mark(X) #47: #sel1(mark(X1),X2) -> #sel1(X1,X2) #48: #active(quote(0())) -> #mark(01()) #49: #mark(sel1(X1,X2)) -> #active(sel1(mark(X1),mark(X2))) #50: #mark(sel1(X1,X2)) -> #sel1(mark(X1),mark(X2)) #51: #mark(sel1(X1,X2)) -> #mark(X1) #52: #mark(sel1(X1,X2)) -> #mark(X2) #53: #dbl1(mark(X)) -> #dbl1(X) #54: #indx(X1,active(X2)) -> #indx(X1,X2) #55: #mark(indx(X1,X2)) -> #active(indx(mark(X1),X2)) #56: #mark(indx(X1,X2)) -> #indx(mark(X1),X2) #57: #mark(indx(X1,X2)) -> #mark(X1) #58: #mark(s(X)) -> #active(s(X)) #59: #active(indx(nil(),X)) -> #mark(nil()) #60: #cons(X1,mark(X2)) -> #cons(X1,X2) #61: #active(dbl1(0())) -> #mark(01()) #62: #dbl(active(X)) -> #dbl(X) #63: #active(sel(0(),cons(X,Y))) -> #mark(X) #64: #sel(active(X1),X2) -> #sel(X1,X2) #65: #mark(01()) -> #active(01()) #66: #mark(nil()) -> #active(nil()) #67: #s(mark(X)) -> #s(X) #68: #mark(dbl1(X)) -> #active(dbl1(mark(X))) #69: #mark(dbl1(X)) -> #dbl1(mark(X)) #70: #mark(dbl1(X)) -> #mark(X) #71: #quote(mark(X)) -> #quote(X) #72: #active(quote(sel(X,Y))) -> #mark(sel1(X,Y)) #73: #active(quote(sel(X,Y))) -> #sel1(X,Y) #74: #dbl(mark(X)) -> #dbl(X) #75: #mark(0()) -> #active(0()) #76: #mark(from(X)) -> #active(from(X)) #77: #dbls(mark(X)) -> #dbls(X) #78: #mark(dbls(X)) -> #active(dbls(mark(X))) #79: #mark(dbls(X)) -> #dbls(mark(X)) #80: #mark(dbls(X)) -> #mark(X) #81: #active(quote(dbl(X))) -> #mark(dbl1(X)) #82: #active(quote(dbl(X))) -> #dbl1(X) #83: #active(dbls(nil())) -> #mark(nil()) #84: #active(dbl(0())) -> #mark(0()) #85: #s1(mark(X)) -> #s1(X) #86: #active(indx(cons(X,Y),Z)) -> #mark(cons(sel(X,Z),indx(Y,Z))) #87: #active(indx(cons(X,Y),Z)) -> #cons(sel(X,Z),indx(Y,Z)) #88: #active(indx(cons(X,Y),Z)) -> #sel(X,Z) #89: #active(indx(cons(X,Y),Z)) -> #indx(Y,Z) #90: #active(quote(s(X))) -> #mark(s1(quote(X))) #91: #active(quote(s(X))) -> #s1(quote(X)) #92: #active(quote(s(X))) -> #quote(X) #93: #active(dbls(cons(X,Y))) -> #mark(cons(dbl(X),dbls(Y))) #94: #active(dbls(cons(X,Y))) -> #cons(dbl(X),dbls(Y)) #95: #active(dbls(cons(X,Y))) -> #dbl(X) #96: #active(dbls(cons(X,Y))) -> #dbls(Y) #97: #from(mark(X)) -> #from(X) #98: #mark(dbl(X)) -> #active(dbl(mark(X))) #99: #mark(dbl(X)) -> #dbl(mark(X)) #100: #mark(dbl(X)) -> #mark(X) Number of SCCs: 12, DPs: 52 SCC { #25 #97 } POLO(Sum)... succeeded. #dbl1 w: 0 01 w: 0 #cons w: 0 s w: 0 dbls w: 0 dbl w: 0 indx w: 0 #dbl w: 0 #dbls w: 0 #mark w: 0 0 w: 0 #sel w: 0 #indx w: 0 sel w: 0 from w: 0 #s w: 0 nil w: 0 dbl1 w: 0 #sel1 w: 0 mark w: x1 + 1 #from w: x1 active w: x1 + 1 quote w: 0 cons w: 0 #active w: 0 #quote w: 0 #s1 w: 0 sel1 w: 0 s1 w: 0 USABLE RULES: { } Removed DPs: #25 #97 Number of SCCs: 11, DPs: 50 SCC { #23 #85 } POLO(Sum)... succeeded. #dbl1 w: 0 01 w: 0 #cons w: 0 s w: 0 dbls w: 0 dbl w: 0 indx w: 0 #dbl w: 0 #dbls w: 0 #mark w: 0 0 w: 0 #sel w: 0 #indx w: 0 sel w: 0 from w: 0 #s w: 0 nil w: 0 dbl1 w: 0 #sel1 w: 0 mark w: x1 + 1 #from w: 0 active w: x1 + 1 quote w: 0 cons w: 0 #active w: 0 #quote w: 0 #s1 w: x1 sel1 w: 0 s1 w: 0 USABLE RULES: { } Removed DPs: #23 #85 Number of SCCs: 10, DPs: 48 SCC { #18 #71 } POLO(Sum)... succeeded. #dbl1 w: 0 01 w: 0 #cons w: 0 s w: 0 dbls w: 0 dbl w: 0 indx w: 0 #dbl w: 0 #dbls w: 0 #mark w: 0 0 w: 0 #sel w: 0 #indx w: 0 sel w: 0 from w: 0 #s w: 0 nil w: 0 dbl1 w: 0 #sel1 w: 0 mark w: x1 + 1 #from w: 0 active w: x1 + 1 quote w: 0 cons w: 0 #active w: 0 #quote w: x1 #s1 w: 0 sel1 w: 0 s1 w: 0 USABLE RULES: { } Removed DPs: #18 #71 Number of SCCs: 9, DPs: 46 SCC { #15 #53 } POLO(Sum)... succeeded. #dbl1 w: x1 01 w: 0 #cons w: 0 s w: 0 dbls w: 0 dbl w: 0 indx w: 0 #dbl w: 0 #dbls w: 0 #mark w: 0 0 w: 0 #sel w: 0 #indx w: 0 sel w: 0 from w: 0 #s w: 0 nil w: 0 dbl1 w: 0 #sel1 w: 0 mark w: x1 + 1 #from w: 0 active w: x1 + 1 quote w: 0 cons w: 0 #active w: 0 #quote w: 0 #s1 w: 0 sel1 w: 0 s1 w: 0 USABLE RULES: { } Removed DPs: #15 #53 Number of SCCs: 8, DPs: 44 SCC { #9 #67 } POLO(Sum)... succeeded. #dbl1 w: 0 01 w: 0 #cons w: 0 s w: 0 dbls w: 0 dbl w: 0 indx w: 0 #dbl w: 0 #dbls w: 0 #mark w: 0 0 w: 0 #sel w: 0 #indx w: 0 sel w: 0 from w: 0 #s w: x1 nil w: 0 dbl1 w: 0 #sel1 w: 0 mark w: x1 + 1 #from w: 0 active w: x1 + 1 quote w: 0 cons w: 0 #active w: 0 #quote w: 0 #s1 w: 0 sel1 w: 0 s1 w: 0 USABLE RULES: { } Removed DPs: #9 #67 Number of SCCs: 7, DPs: 42 SCC { #13 #77 } POLO(Sum)... succeeded. #dbl1 w: 0 01 w: 0 #cons w: 0 s w: 0 dbls w: 0 dbl w: 0 indx w: 0 #dbl w: 0 #dbls w: x1 #mark w: 0 0 w: 0 #sel w: 0 #indx w: 0 sel w: 0 from w: 0 #s w: 0 nil w: 0 dbl1 w: 0 #sel1 w: 0 mark w: x1 + 1 #from w: 0 active w: x1 + 1 quote w: 0 cons w: 0 #active w: 0 #quote w: 0 #s1 w: 0 sel1 w: 0 s1 w: 0 USABLE RULES: { } Removed DPs: #13 #77 Number of SCCs: 6, DPs: 40 SCC { #62 #74 } POLO(Sum)... succeeded. #dbl1 w: 0 01 w: 0 #cons w: 0 s w: 0 dbls w: 0 dbl w: 0 indx w: 0 #dbl w: x1 #dbls w: 0 #mark w: 0 0 w: 0 #sel w: 0 #indx w: 0 sel w: 0 from w: 0 #s w: 0 nil w: 0 dbl1 w: 0 #sel1 w: 0 mark w: x1 + 1 #from w: 0 active w: x1 + 1 quote w: 0 cons w: 0 #active w: 0 #quote w: 0 #s1 w: 0 sel1 w: 0 s1 w: 0 USABLE RULES: { } Removed DPs: #62 #74 Number of SCCs: 5, DPs: 38 SCC { #17 #22 #36 #47 } POLO(Sum)... succeeded. #dbl1 w: 0 01 w: 0 #cons w: 0 s w: 0 dbls w: 0 dbl w: 0 indx w: 0 #dbl w: 0 #dbls w: 0 #mark w: 0 0 w: 0 #sel w: 0 #indx w: 0 sel w: 0 from w: 0 #s w: 0 nil w: 0 dbl1 w: 0 #sel1 w: x2 mark w: x1 + 1 #from w: 0 active w: x1 + 1 quote w: 0 cons w: 0 #active w: 0 #quote w: 0 #s1 w: 0 sel1 w: 0 s1 w: 0 USABLE RULES: { } Removed DPs: #22 #36 Number of SCCs: 5, DPs: 36 SCC { #17 #47 } POLO(Sum)... succeeded. #dbl1 w: 0 01 w: 0 #cons w: 0 s w: 0 dbls w: 0 dbl w: 0 indx w: 0 #dbl w: 0 #dbls w: 0 #mark w: 0 0 w: 0 #sel w: 0 #indx w: 0 sel w: 0 from w: 0 #s w: 0 nil w: 0 dbl1 w: 0 #sel1 w: x1 mark w: x1 + 1 #from w: 0 active w: x1 + 1 quote w: 0 cons w: 0 #active w: 0 #quote w: 0 #s1 w: 0 sel1 w: 0 s1 w: 0 USABLE RULES: { } Removed DPs: #17 #47 Number of SCCs: 4, DPs: 34 SCC { #5 #11 #42 #64 } POLO(Sum)... succeeded. #dbl1 w: 0 01 w: 0 #cons w: 0 s w: 0 dbls w: 0 dbl w: 0 indx w: 0 #dbl w: 0 #dbls w: 0 #mark w: 0 0 w: 0 #sel w: x1 #indx w: 0 sel w: 0 from w: 0 #s w: 0 nil w: 0 dbl1 w: 0 #sel1 w: 0 mark w: x1 + 1 #from w: 0 active w: x1 + 1 quote w: 0 cons w: 0 #active w: 0 #quote w: 0 #s1 w: 0 sel1 w: 0 s1 w: 0 USABLE RULES: { } Removed DPs: #11 #64 Number of SCCs: 4, DPs: 32 SCC { #5 #42 } POLO(Sum)... succeeded. #dbl1 w: 0 01 w: 0 #cons w: 0 s w: 0 dbls w: 0 dbl w: 0 indx w: 0 #dbl w: 0 #dbls w: 0 #mark w: 0 0 w: 0 #sel w: x2 #indx w: 0 sel w: 0 from w: 0 #s w: 0 nil w: 0 dbl1 w: 0 #sel1 w: 0 mark w: x1 + 1 #from w: 0 active w: x1 + 1 quote w: 0 cons w: 0 #active w: 0 #quote w: 0 #s1 w: 0 sel1 w: 0 s1 w: 0 USABLE RULES: { } Removed DPs: #5 #42 Number of SCCs: 3, DPs: 30 SCC { #10 #14 #16 #54 } POLO(Sum)... succeeded. #dbl1 w: 0 01 w: 0 #cons w: 0 s w: 0 dbls w: 0 dbl w: 0 indx w: 0 #dbl w: 0 #dbls w: 0 #mark w: 0 0 w: 0 #sel w: 0 #indx w: x2 sel w: 0 from w: 0 #s w: 0 nil w: 0 dbl1 w: 0 #sel1 w: 0 mark w: x1 + 1 #from w: 0 active w: x1 + 1 quote w: 0 cons w: 0 #active w: 0 #quote w: 0 #s1 w: 0 sel1 w: 0 s1 w: 0 USABLE RULES: { } Removed DPs: #14 #54 Number of SCCs: 3, DPs: 28 SCC { #10 #16 } POLO(Sum)... succeeded. #dbl1 w: 0 01 w: 0 #cons w: 0 s w: 0 dbls w: 0 dbl w: 0 indx w: 0 #dbl w: 0 #dbls w: 0 #mark w: 0 0 w: 0 #sel w: 0 #indx w: x1 sel w: 0 from w: 0 #s w: 0 nil w: 0 dbl1 w: 0 #sel1 w: 0 mark w: x1 + 1 #from w: 0 active w: x1 + 1 quote w: 0 cons w: 0 #active w: 0 #quote w: 0 #s1 w: 0 sel1 w: 0 s1 w: 0 USABLE RULES: { } Removed DPs: #10 #16 Number of SCCs: 2, DPs: 26 SCC { #12 #19 #24 #60 } POLO(Sum)... succeeded. #dbl1 w: 0 01 w: 0 #cons w: x1 s w: 0 dbls w: 0 dbl w: 0 indx w: 0 #dbl w: 0 #dbls w: 0 #mark w: 0 0 w: 0 #sel w: 0 #indx w: 0 sel w: 0 from w: 0 #s w: 0 nil w: 0 dbl1 w: 0 #sel1 w: 0 mark w: x1 + 1 #from w: 0 active w: x1 + 1 quote w: 0 cons w: 0 #active w: 0 #quote w: 0 #s1 w: 0 sel1 w: 0 s1 w: 0 USABLE RULES: { } Removed DPs: #19 #24 Number of SCCs: 2, DPs: 24 SCC { #12 #60 } POLO(Sum)... succeeded. #dbl1 w: 0 01 w: 0 #cons w: x2 s w: 0 dbls w: 0 dbl w: 0 indx w: 0 #dbl w: 0 #dbls w: 0 #mark w: 0 0 w: 0 #sel w: 0 #indx w: 0 sel w: 0 from w: 0 #s w: 0 nil w: 0 dbl1 w: 0 #sel1 w: 0 mark w: x1 + 1 #from w: 0 active w: x1 + 1 quote w: 0 cons w: 0 #active w: 0 #quote w: 0 #s1 w: 0 sel1 w: 0 s1 w: 0 USABLE RULES: { } Removed DPs: #12 #60 Number of SCCs: 1, DPs: 22 SCC { #8 #20 #26 #32 #37 #39 #40 #43 #44 #46 #49 #51 #52 #57 #63 #68 #70 #72 #80 #81 #90 #100 } POLO(Sum)... POLO(max)... succeeded. #dbl1 w: 0 01 w: 1 #cons w: 0 s w: x1 dbls w: x1 + 1 dbl w: x1 + 1 indx w: max(x1 + 5, x2 + 4) #dbl w: 0 #dbls w: 0 #mark w: x1 0 w: 1 #sel w: 0 #indx w: 0 sel w: max(x1 + 3, x2 + 1) from w: x1 + 3 #s w: 0 nil w: 5 dbl1 w: x1 + 1 #sel1 w: 0 mark w: x1 #from w: 0 active w: x1 quote w: x1 + 1 cons w: max(x1 + 3, x2) #active w: x1 #quote w: 0 #s1 w: 0 sel1 w: max(x1 + 3, x2 + 1) s1 w: x1 USABLE RULES: { 1..61 } Removed DPs: #39 #40 #43 #46 #51 #52 #57 #63 #70 #72 #80 #81 #100 Number of SCCs: 3, DPs: 9 SCC { #20 #37 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... succeeded. #dbl1 s: [] p: 0 w: 1 01 s: [] p: 5 w: 2 #cons s: [] p: 0 w: max(x2) s s: [1] p: 0 w: x1 dbls s: [] p: 2 w: x1 + 7 dbl s: [1] p: 1 w: x1 + 3 indx s: [] p: 4 w: x1 + x2 + 1 #dbl s: [] p: 0 w: 1 #dbls s: [] p: 0 w: 0 #mark s: [1] p: 3 w: x1 + 1 0 s: [] p: 6 w: 3 #sel s: [] p: 0 w: x2 #indx s: [1,2] p: 0 w: x1 + x2 sel s: [1] p: 3 w: x1 + x2 + 1 from s: [] p: 2 w: x1 + 4 #s s: [] p: 0 w: 1 nil s: [] p: 5 w: 1 dbl1 s: [] p: 6 w: 2 #sel1 s: [2] p: 0 w: x2 mark s: 1 #from s: [] p: 0 w: 0 active s: 1 quote s: [] p: 5 w: x1 + 4 cons s: [] p: 2 w: max(x1 + 3, x2) #active s: [1] p: 3 w: x1 + 1 #quote s: [] p: 0 w: 0 #s1 s: [] p: 0 w: 0 sel1 s: [] p: 5 w: x1 + x2 + 4 s1 s: [] p: 7 w: 1 USABLE RULES: { 1..61 } Removed DPs: #20 Number of SCCs: 2, DPs: 7 SCC { #26 #49 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... succeeded. #dbl1 s: [] p: 0 w: 1 01 s: [] p: 6 w: 2 #cons s: [] p: 0 w: max(x2) s s: [1] p: 2 w: x1 dbls s: [] p: 4 w: x1 + 8 dbl s: [1] p: 3 w: x1 + 3 indx s: [] p: 8 w: x1 + x2 #dbl s: [] p: 0 w: 1 #dbls s: [] p: 0 w: 0 #mark s: 1 0 s: [] p: 7 w: 3 #sel s: [] p: 0 w: x2 #indx s: [1,2] p: 0 w: x1 + x2 sel s: [] p: 5 w: x1 + x2 from s: [] p: 4 w: x1 + 5 #s s: [] p: 0 w: 1 nil s: [] p: 6 w: 1 dbl1 s: [] p: 9 w: 2 #sel1 s: [2] p: 0 w: x2 mark s: 1 #from s: [] p: 0 w: 0 active s: 1 quote s: [] p: 2 w: x1 + 4 cons s: [] p: 4 w: max(x1 + 4, x2) #active s: 1 #quote s: [] p: 0 w: 0 #s1 s: [] p: 0 w: 0 sel1 s: [1] p: 2 w: x1 + x2 s1 s: [] p: 10 w: 1 USABLE RULES: { 1..61 } Removed DPs: #26 Number of SCCs: 1, DPs: 5 SCC { #8 #32 #44 #68 #90 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... succeeded. #dbl1 s: [] p: 0 w: 1 01 s: [] p: 1 w: 0 #cons s: [] p: 0 w: max(x2) s s: [1] p: 5 w: x1 dbls s: [] p: 4 w: x1 + 9 dbl s: [1] p: 6 w: x1 + 2 indx s: [] p: 5 w: x2 + 3 #dbl s: [] p: 0 w: 1 #dbls s: [] p: 0 w: 0 #mark s: [1] p: 2 w: x1 + 1 0 s: [] p: 0 w: 0 #sel s: [] p: 0 w: x2 #indx s: [1,2] p: 0 w: x1 + x2 sel s: [] p: 3 w: x2 + 2 from s: [] p: 4 w: x1 + 1 #s s: [] p: 0 w: 1 nil s: [] p: 1 w: 0 dbl1 s: [1] p: 6 w: x1 + 1 #sel1 s: [2] p: 0 w: x2 mark s: 1 #from s: [] p: 0 w: 0 active s: 1 quote s: [1] p: 5 w: x1 cons s: [] p: 4 w: max(x1, x2) #active s: [1] p: 2 w: x1 + 1 #quote s: [] p: 0 w: 0 #s1 s: [] p: 0 w: 0 sel1 s: [] p: 4 w: x2 + 1 s1 s: [1] p: 5 w: x1 USABLE RULES: { 1..61 } Removed DPs: #8 Number of SCCs: 0, DPs: 0