/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(from(X)) -> mark(cons(X,from(s(X)))) 2: active(2ndspos(0(),Z)) -> mark(rnil()) 3: active(2ndspos(s(N),cons(X,cons(Y,Z)))) -> mark(rcons(posrecip(Y),2ndsneg(N,Z))) 4: active(2ndsneg(0(),Z)) -> mark(rnil()) 5: active(2ndsneg(s(N),cons(X,cons(Y,Z)))) -> mark(rcons(negrecip(Y),2ndspos(N,Z))) 6: active(pi(X)) -> mark(2ndspos(X,from(0()))) 7: active(plus(0(),Y)) -> mark(Y) 8: active(plus(s(X),Y)) -> mark(s(plus(X,Y))) 9: active(times(0(),Y)) -> mark(0()) 10: active(times(s(X),Y)) -> mark(plus(Y,times(X,Y))) 11: active(square(X)) -> mark(times(X,X)) 12: mark(from(X)) -> active(from(mark(X))) 13: mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) 14: mark(s(X)) -> active(s(mark(X))) 15: mark(2ndspos(X1,X2)) -> active(2ndspos(mark(X1),mark(X2))) 16: mark(0()) -> active(0()) 17: mark(rnil()) -> active(rnil()) 18: mark(rcons(X1,X2)) -> active(rcons(mark(X1),mark(X2))) 19: mark(posrecip(X)) -> active(posrecip(mark(X))) 20: mark(2ndsneg(X1,X2)) -> active(2ndsneg(mark(X1),mark(X2))) 21: mark(negrecip(X)) -> active(negrecip(mark(X))) 22: mark(pi(X)) -> active(pi(mark(X))) 23: mark(plus(X1,X2)) -> active(plus(mark(X1),mark(X2))) 24: mark(times(X1,X2)) -> active(times(mark(X1),mark(X2))) 25: mark(square(X)) -> active(square(mark(X))) 26: from(mark(X)) -> from(X) 27: from(active(X)) -> from(X) 28: cons(mark(X1),X2) -> cons(X1,X2) 29: cons(X1,mark(X2)) -> cons(X1,X2) 30: cons(active(X1),X2) -> cons(X1,X2) 31: cons(X1,active(X2)) -> cons(X1,X2) 32: s(mark(X)) -> s(X) 33: s(active(X)) -> s(X) 34: 2ndspos(mark(X1),X2) -> 2ndspos(X1,X2) 35: 2ndspos(X1,mark(X2)) -> 2ndspos(X1,X2) 36: 2ndspos(active(X1),X2) -> 2ndspos(X1,X2) 37: 2ndspos(X1,active(X2)) -> 2ndspos(X1,X2) 38: rcons(mark(X1),X2) -> rcons(X1,X2) 39: rcons(X1,mark(X2)) -> rcons(X1,X2) 40: rcons(active(X1),X2) -> rcons(X1,X2) 41: rcons(X1,active(X2)) -> rcons(X1,X2) 42: posrecip(mark(X)) -> posrecip(X) 43: posrecip(active(X)) -> posrecip(X) 44: 2ndsneg(mark(X1),X2) -> 2ndsneg(X1,X2) 45: 2ndsneg(X1,mark(X2)) -> 2ndsneg(X1,X2) 46: 2ndsneg(active(X1),X2) -> 2ndsneg(X1,X2) 47: 2ndsneg(X1,active(X2)) -> 2ndsneg(X1,X2) 48: negrecip(mark(X)) -> negrecip(X) 49: negrecip(active(X)) -> negrecip(X) 50: pi(mark(X)) -> pi(X) 51: pi(active(X)) -> pi(X) 52: plus(mark(X1),X2) -> plus(X1,X2) 53: plus(X1,mark(X2)) -> plus(X1,X2) 54: plus(active(X1),X2) -> plus(X1,X2) 55: plus(X1,active(X2)) -> plus(X1,X2) 56: times(mark(X1),X2) -> times(X1,X2) 57: times(X1,mark(X2)) -> times(X1,X2) 58: times(active(X1),X2) -> times(X1,X2) 59: times(X1,active(X2)) -> times(X1,X2) 60: square(mark(X)) -> square(X) 61: square(active(X)) -> square(X) Number of strict rules: 61 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #active(2ndspos(0(),Z)) -> #mark(rnil()) #2: #posrecip(active(X)) -> #posrecip(X) #3: #cons(X1,mark(X2)) -> #cons(X1,X2) #4: #2ndspos(X1,mark(X2)) -> #2ndspos(X1,X2) #5: #2ndsneg(active(X1),X2) -> #2ndsneg(X1,X2) #6: #posrecip(mark(X)) -> #posrecip(X) #7: #rcons(X1,active(X2)) -> #rcons(X1,X2) #8: #2ndspos(X1,active(X2)) -> #2ndspos(X1,X2) #9: #2ndsneg(X1,active(X2)) -> #2ndsneg(X1,X2) #10: #plus(X1,mark(X2)) -> #plus(X1,X2) #11: #negrecip(mark(X)) -> #negrecip(X) #12: #times(active(X1),X2) -> #times(X1,X2) #13: #square(active(X)) -> #square(X) #14: #rcons(mark(X1),X2) -> #rcons(X1,X2) #15: #active(pi(X)) -> #mark(2ndspos(X,from(0()))) #16: #active(pi(X)) -> #2ndspos(X,from(0())) #17: #active(pi(X)) -> #from(0()) #18: #times(X1,active(X2)) -> #times(X1,X2) #19: #plus(X1,active(X2)) -> #plus(X1,X2) #20: #rcons(active(X1),X2) -> #rcons(X1,X2) #21: #pi(active(X)) -> #pi(X) #22: #mark(cons(X1,X2)) -> #active(cons(mark(X1),X2)) #23: #mark(cons(X1,X2)) -> #cons(mark(X1),X2) #24: #mark(cons(X1,X2)) -> #mark(X1) #25: #active(times(0(),Y)) -> #mark(0()) #26: #active(square(X)) -> #mark(times(X,X)) #27: #active(square(X)) -> #times(X,X) #28: #times(X1,mark(X2)) -> #times(X1,X2) #29: #mark(times(X1,X2)) -> #active(times(mark(X1),mark(X2))) #30: #mark(times(X1,X2)) -> #times(mark(X1),mark(X2)) #31: #mark(times(X1,X2)) -> #mark(X1) #32: #mark(times(X1,X2)) -> #mark(X2) #33: #mark(plus(X1,X2)) -> #active(plus(mark(X1),mark(X2))) #34: #mark(plus(X1,X2)) -> #plus(mark(X1),mark(X2)) #35: #mark(plus(X1,X2)) -> #mark(X1) #36: #mark(plus(X1,X2)) -> #mark(X2) #37: #2ndsneg(X1,mark(X2)) -> #2ndsneg(X1,X2) #38: #mark(from(X)) -> #active(from(mark(X))) #39: #mark(from(X)) -> #from(mark(X)) #40: #mark(from(X)) -> #mark(X) #41: #cons(X1,active(X2)) -> #cons(X1,X2) #42: #times(mark(X1),X2) -> #times(X1,X2) #43: #mark(s(X)) -> #active(s(mark(X))) #44: #mark(s(X)) -> #s(mark(X)) #45: #mark(s(X)) -> #mark(X) #46: #cons(active(X1),X2) -> #cons(X1,X2) #47: #plus(mark(X1),X2) -> #plus(X1,X2) #48: #negrecip(active(X)) -> #negrecip(X) #49: #mark(square(X)) -> #active(square(mark(X))) #50: #mark(square(X)) -> #square(mark(X)) #51: #mark(square(X)) -> #mark(X) #52: #mark(2ndsneg(X1,X2)) -> #active(2ndsneg(mark(X1),mark(X2))) #53: #mark(2ndsneg(X1,X2)) -> #2ndsneg(mark(X1),mark(X2)) #54: #mark(2ndsneg(X1,X2)) -> #mark(X1) #55: #mark(2ndsneg(X1,X2)) -> #mark(X2) #56: #active(plus(0(),Y)) -> #mark(Y) #57: #rcons(X1,mark(X2)) -> #rcons(X1,X2) #58: #active(times(s(X),Y)) -> #mark(plus(Y,times(X,Y))) #59: #active(times(s(X),Y)) -> #plus(Y,times(X,Y)) #60: #active(times(s(X),Y)) -> #times(X,Y) #61: #s(active(X)) -> #s(X) #62: #active(2ndsneg(s(N),cons(X,cons(Y,Z)))) -> #mark(rcons(negrecip(Y),2ndspos(N,Z))) #63: #active(2ndsneg(s(N),cons(X,cons(Y,Z)))) -> #rcons(negrecip(Y),2ndspos(N,Z)) #64: #active(2ndsneg(s(N),cons(X,cons(Y,Z)))) -> #negrecip(Y) #65: #active(2ndsneg(s(N),cons(X,cons(Y,Z)))) -> #2ndspos(N,Z) #66: #2ndsneg(mark(X1),X2) -> #2ndsneg(X1,X2) #67: #cons(mark(X1),X2) -> #cons(X1,X2) #68: #mark(pi(X)) -> #active(pi(mark(X))) #69: #mark(pi(X)) -> #pi(mark(X)) #70: #mark(pi(X)) -> #mark(X) #71: #2ndspos(mark(X1),X2) -> #2ndspos(X1,X2) #72: #from(active(X)) -> #from(X) #73: #square(mark(X)) -> #square(X) #74: #mark(rnil()) -> #active(rnil()) #75: #s(mark(X)) -> #s(X) #76: #mark(posrecip(X)) -> #active(posrecip(mark(X))) #77: #mark(posrecip(X)) -> #posrecip(mark(X)) #78: #mark(posrecip(X)) -> #mark(X) #79: #from(mark(X)) -> #from(X) #80: #2ndspos(active(X1),X2) -> #2ndspos(X1,X2) #81: #mark(negrecip(X)) -> #active(negrecip(mark(X))) #82: #mark(negrecip(X)) -> #negrecip(mark(X)) #83: #mark(negrecip(X)) -> #mark(X) #84: #mark(0()) -> #active(0()) #85: #active(2ndspos(s(N),cons(X,cons(Y,Z)))) -> #mark(rcons(posrecip(Y),2ndsneg(N,Z))) #86: #active(2ndspos(s(N),cons(X,cons(Y,Z)))) -> #rcons(posrecip(Y),2ndsneg(N,Z)) #87: #active(2ndspos(s(N),cons(X,cons(Y,Z)))) -> #posrecip(Y) #88: #active(2ndspos(s(N),cons(X,cons(Y,Z)))) -> #2ndsneg(N,Z) #89: #active(from(X)) -> #mark(cons(X,from(s(X)))) #90: #active(from(X)) -> #cons(X,from(s(X))) #91: #active(from(X)) -> #from(s(X)) #92: #active(from(X)) -> #s(X) #93: #plus(active(X1),X2) -> #plus(X1,X2) #94: #active(plus(s(X),Y)) -> #mark(s(plus(X,Y))) #95: #active(plus(s(X),Y)) -> #s(plus(X,Y)) #96: #active(plus(s(X),Y)) -> #plus(X,Y) #97: #mark(2ndspos(X1,X2)) -> #active(2ndspos(mark(X1),mark(X2))) #98: #mark(2ndspos(X1,X2)) -> #2ndspos(mark(X1),mark(X2)) #99: #mark(2ndspos(X1,X2)) -> #mark(X1) #100: #mark(2ndspos(X1,X2)) -> #mark(X2) #101: #active(2ndsneg(0(),Z)) -> #mark(rnil()) #102: #pi(mark(X)) -> #pi(X) #103: #mark(rcons(X1,X2)) -> #active(rcons(mark(X1),mark(X2))) #104: #mark(rcons(X1,X2)) -> #rcons(mark(X1),mark(X2)) #105: #mark(rcons(X1,X2)) -> #mark(X1) #106: #mark(rcons(X1,X2)) -> #mark(X2) Number of SCCs: 13, DPs: 68 SCC { #72 #79 } POLO(Sum)... succeeded. negrecip w: 0 #cons w: 0 s w: 0 #negrecip w: 0 2ndspos w: 0 rnil w: 0 #plus w: 0 square w: 0 #square w: 0 pi w: 0 #rcons w: 0 rcons w: 0 #times w: 0 #mark w: 0 0 w: 0 #posrecip w: 0 from w: 0 times w: 0 #s w: 0 mark w: x1 + 1 2ndsneg w: 0 plus w: 0 #2ndspos w: 0 #from w: x1 active w: x1 + 1 cons w: 0 #active w: 0 #pi w: 0 #2ndsneg w: 0 posrecip w: 0 USABLE RULES: { } Removed DPs: #72 #79 Number of SCCs: 12, DPs: 66 SCC { #61 #75 } POLO(Sum)... succeeded. negrecip w: 0 #cons w: 0 s w: 0 #negrecip w: 0 2ndspos w: 0 rnil w: 0 #plus w: 0 square w: 0 #square w: 0 pi w: 0 #rcons w: 0 rcons w: 0 #times w: 0 #mark w: 0 0 w: 0 #posrecip w: 0 from w: 0 times w: 0 #s w: x1 mark w: x1 + 1 2ndsneg w: 0 plus w: 0 #2ndspos w: 0 #from w: 0 active w: x1 + 1 cons w: 0 #active w: 0 #pi w: 0 #2ndsneg w: 0 posrecip w: 0 USABLE RULES: { } Removed DPs: #61 #75 Number of SCCs: 11, DPs: 64 SCC { #13 #73 } POLO(Sum)... succeeded. negrecip w: 0 #cons w: 0 s w: 0 #negrecip w: 0 2ndspos w: 0 rnil w: 0 #plus w: 0 square w: 0 #square w: x1 pi w: 0 #rcons w: 0 rcons w: 0 #times w: 0 #mark w: 0 0 w: 0 #posrecip w: 0 from w: 0 times w: 0 #s w: 0 mark w: x1 + 1 2ndsneg w: 0 plus w: 0 #2ndspos w: 0 #from w: 0 active w: x1 + 1 cons w: 0 #active w: 0 #pi w: 0 #2ndsneg w: 0 posrecip w: 0 USABLE RULES: { } Removed DPs: #13 #73 Number of SCCs: 10, DPs: 62 SCC { #21 #102 } POLO(Sum)... succeeded. negrecip w: 0 #cons w: 0 s w: 0 #negrecip w: 0 2ndspos w: 0 rnil w: 0 #plus w: 0 square w: 0 #square w: 0 pi w: 0 #rcons w: 0 rcons w: 0 #times w: 0 #mark w: 0 0 w: 0 #posrecip w: 0 from w: 0 times w: 0 #s w: 0 mark w: x1 + 1 2ndsneg w: 0 plus w: 0 #2ndspos w: 0 #from w: 0 active w: x1 + 1 cons w: 0 #active w: 0 #pi w: x1 #2ndsneg w: 0 posrecip w: 0 USABLE RULES: { } Removed DPs: #21 #102 Number of SCCs: 9, DPs: 60 SCC { #11 #48 } POLO(Sum)... succeeded. negrecip w: 0 #cons w: 0 s w: 0 #negrecip w: x1 2ndspos w: 0 rnil w: 0 #plus w: 0 square w: 0 #square w: 0 pi w: 0 #rcons w: 0 rcons w: 0 #times w: 0 #mark w: 0 0 w: 0 #posrecip w: 0 from w: 0 times w: 0 #s w: 0 mark w: x1 + 1 2ndsneg w: 0 plus w: 0 #2ndspos w: 0 #from w: 0 active w: x1 + 1 cons w: 0 #active w: 0 #pi w: 0 #2ndsneg w: 0 posrecip w: 0 USABLE RULES: { } Removed DPs: #11 #48 Number of SCCs: 8, DPs: 58 SCC { #2 #6 } POLO(Sum)... succeeded. negrecip w: 0 #cons w: 0 s w: 0 #negrecip w: 0 2ndspos w: 0 rnil w: 0 #plus w: 0 square w: 0 #square w: 0 pi w: 0 #rcons w: 0 rcons w: 0 #times w: 0 #mark w: 0 0 w: 0 #posrecip w: x1 from w: 0 times w: 0 #s w: 0 mark w: x1 + 1 2ndsneg w: 0 plus w: 0 #2ndspos w: 0 #from w: 0 active w: x1 + 1 cons w: 0 #active w: 0 #pi w: 0 #2ndsneg w: 0 posrecip w: 0 USABLE RULES: { } Removed DPs: #2 #6 Number of SCCs: 7, DPs: 56 SCC { #3 #41 #46 #67 } POLO(Sum)... succeeded. negrecip w: 0 #cons w: x2 s w: 0 #negrecip w: 0 2ndspos w: 0 rnil w: 0 #plus w: 0 square w: 0 #square w: 0 pi w: 0 #rcons w: 0 rcons w: 0 #times w: 0 #mark w: 0 0 w: 0 #posrecip w: 0 from w: 0 times w: 0 #s w: 0 mark w: x1 + 1 2ndsneg w: 0 plus w: 0 #2ndspos w: 0 #from w: 0 active w: x1 + 1 cons w: 0 #active w: 0 #pi w: 0 #2ndsneg w: 0 posrecip w: 0 USABLE RULES: { } Removed DPs: #3 #41 Number of SCCs: 7, DPs: 54 SCC { #46 #67 } POLO(Sum)... succeeded. negrecip w: 0 #cons w: x1 s w: 0 #negrecip w: 0 2ndspos w: 0 rnil w: 0 #plus w: 0 square w: 0 #square w: 0 pi w: 0 #rcons w: 0 rcons w: 0 #times w: 0 #mark w: 0 0 w: 0 #posrecip w: 0 from w: 0 times w: 0 #s w: 0 mark w: x1 + 1 2ndsneg w: 0 plus w: 0 #2ndspos w: 0 #from w: 0 active w: x1 + 1 cons w: 0 #active w: 0 #pi w: 0 #2ndsneg w: 0 posrecip w: 0 USABLE RULES: { } Removed DPs: #46 #67 Number of SCCs: 6, DPs: 52 SCC { #5 #9 #37 #66 } POLO(Sum)... succeeded. negrecip w: 0 #cons w: 0 s w: 0 #negrecip w: 0 2ndspos w: 0 rnil w: 0 #plus w: 0 square w: 0 #square w: 0 pi w: 0 #rcons w: 0 rcons w: 0 #times w: 0 #mark w: 0 0 w: 0 #posrecip w: 0 from w: 0 times w: 0 #s w: 0 mark w: x1 + 1 2ndsneg w: 0 plus w: 0 #2ndspos w: 0 #from w: 0 active w: x1 + 1 cons w: 0 #active w: 0 #pi w: 0 #2ndsneg w: x2 posrecip w: 0 USABLE RULES: { } Removed DPs: #9 #37 Number of SCCs: 6, DPs: 50 SCC { #5 #66 } POLO(Sum)... succeeded. negrecip w: 0 #cons w: 0 s w: 0 #negrecip w: 0 2ndspos w: 0 rnil w: 0 #plus w: 0 square w: 0 #square w: 0 pi w: 0 #rcons w: 0 rcons w: 0 #times w: 0 #mark w: 0 0 w: 0 #posrecip w: 0 from w: 0 times w: 0 #s w: 0 mark w: x1 + 1 2ndsneg w: 0 plus w: 0 #2ndspos w: 0 #from w: 0 active w: x1 + 1 cons w: 0 #active w: 0 #pi w: 0 #2ndsneg w: x1 posrecip w: 0 USABLE RULES: { } Removed DPs: #5 #66 Number of SCCs: 5, DPs: 48 SCC { #4 #8 #71 #80 } POLO(Sum)... succeeded. negrecip w: 0 #cons w: 0 s w: 0 #negrecip w: 0 2ndspos w: 0 rnil w: 0 #plus w: 0 square w: 0 #square w: 0 pi w: 0 #rcons w: 0 rcons w: 0 #times w: 0 #mark w: 0 0 w: 0 #posrecip w: 0 from w: 0 times w: 0 #s w: 0 mark w: x1 + 1 2ndsneg w: 0 plus w: 0 #2ndspos w: x2 #from w: 0 active w: x1 + 1 cons w: 0 #active w: 0 #pi w: 0 #2ndsneg w: 0 posrecip w: 0 USABLE RULES: { } Removed DPs: #4 #8 Number of SCCs: 5, DPs: 46 SCC { #71 #80 } POLO(Sum)... succeeded. negrecip w: 0 #cons w: 0 s w: 0 #negrecip w: 0 2ndspos w: 0 rnil w: 0 #plus w: 0 square w: 0 #square w: 0 pi w: 0 #rcons w: 0 rcons w: 0 #times w: 0 #mark w: 0 0 w: 0 #posrecip w: 0 from w: 0 times w: 0 #s w: 0 mark w: x1 + 1 2ndsneg w: 0 plus w: 0 #2ndspos w: x1 #from w: 0 active w: x1 + 1 cons w: 0 #active w: 0 #pi w: 0 #2ndsneg w: 0 posrecip w: 0 USABLE RULES: { } Removed DPs: #71 #80 Number of SCCs: 4, DPs: 44 SCC { #10 #19 #47 #93 } POLO(Sum)... succeeded. negrecip w: 0 #cons w: 0 s w: 0 #negrecip w: 0 2ndspos w: 0 rnil w: 0 #plus w: x1 square w: 0 #square w: 0 pi w: 0 #rcons w: 0 rcons w: 0 #times w: 0 #mark w: 0 0 w: 0 #posrecip w: 0 from w: 0 times w: 0 #s w: 0 mark w: x1 + 1 2ndsneg w: 0 plus w: 0 #2ndspos w: 0 #from w: 0 active w: x1 + 1 cons w: 0 #active w: 0 #pi w: 0 #2ndsneg w: 0 posrecip w: 0 USABLE RULES: { } Removed DPs: #47 #93 Number of SCCs: 4, DPs: 42 SCC { #10 #19 } POLO(Sum)... succeeded. negrecip w: 0 #cons w: 0 s w: 0 #negrecip w: 0 2ndspos w: 0 rnil w: 0 #plus w: x2 square w: 0 #square w: 0 pi w: 0 #rcons w: 0 rcons w: 0 #times w: 0 #mark w: 0 0 w: 0 #posrecip w: 0 from w: 0 times w: 0 #s w: 0 mark w: x1 + 1 2ndsneg w: 0 plus w: 0 #2ndspos w: 0 #from w: 0 active w: x1 + 1 cons w: 0 #active w: 0 #pi w: 0 #2ndsneg w: 0 posrecip w: 0 USABLE RULES: { } Removed DPs: #10 #19 Number of SCCs: 3, DPs: 40 SCC { #12 #18 #28 #42 } POLO(Sum)... succeeded. negrecip w: 0 #cons w: 0 s w: 0 #negrecip w: 0 2ndspos w: 0 rnil w: 0 #plus w: 0 square w: 0 #square w: 0 pi w: 0 #rcons w: 0 rcons w: 0 #times w: x2 #mark w: 0 0 w: 0 #posrecip w: 0 from w: 0 times w: 0 #s w: 0 mark w: x1 + 1 2ndsneg w: 0 plus w: 0 #2ndspos w: 0 #from w: 0 active w: x1 + 1 cons w: 0 #active w: 0 #pi w: 0 #2ndsneg w: 0 posrecip w: 0 USABLE RULES: { } Removed DPs: #18 #28 Number of SCCs: 3, DPs: 38 SCC { #12 #42 } POLO(Sum)... succeeded. negrecip w: 0 #cons w: 0 s w: 0 #negrecip w: 0 2ndspos w: 0 rnil w: 0 #plus w: 0 square w: 0 #square w: 0 pi w: 0 #rcons w: 0 rcons w: 0 #times w: x1 #mark w: 0 0 w: 0 #posrecip w: 0 from w: 0 times w: 0 #s w: 0 mark w: x1 + 1 2ndsneg w: 0 plus w: 0 #2ndspos w: 0 #from w: 0 active w: x1 + 1 cons w: 0 #active w: 0 #pi w: 0 #2ndsneg w: 0 posrecip w: 0 USABLE RULES: { } Removed DPs: #12 #42 Number of SCCs: 2, DPs: 36 SCC { #7 #14 #20 #57 } POLO(Sum)... succeeded. negrecip w: 0 #cons w: 0 s w: 0 #negrecip w: 0 2ndspos w: 0 rnil w: 0 #plus w: 0 square w: 0 #square w: 0 pi w: 0 #rcons w: x2 rcons w: 0 #times w: 0 #mark w: 0 0 w: 0 #posrecip w: 0 from w: 0 times w: 0 #s w: 0 mark w: x1 + 1 2ndsneg w: 0 plus w: 0 #2ndspos w: 0 #from w: 0 active w: x1 + 1 cons w: 0 #active w: 0 #pi w: 0 #2ndsneg w: 0 posrecip w: 0 USABLE RULES: { } Removed DPs: #7 #57 Number of SCCs: 2, DPs: 34 SCC { #14 #20 } POLO(Sum)... succeeded. negrecip w: 0 #cons w: 0 s w: 0 #negrecip w: 0 2ndspos w: 0 rnil w: 0 #plus w: 0 square w: 0 #square w: 0 pi w: 0 #rcons w: x1 rcons w: 0 #times w: 0 #mark w: 0 0 w: 0 #posrecip w: 0 from w: 0 times w: 0 #s w: 0 mark w: x1 + 1 2ndsneg w: 0 plus w: 0 #2ndspos w: 0 #from w: 0 active w: x1 + 1 cons w: 0 #active w: 0 #pi w: 0 #2ndsneg w: 0 posrecip w: 0 USABLE RULES: { } Removed DPs: #14 #20 Number of SCCs: 1, DPs: 32 SCC { #15 #24 #26 #29 #31..33 #35 #36 #38 #40 #45 #49 #51 #52 #54..56 #58 #62 #68 #70 #78 #83 #85 #89 #94 #97 #99 #100 #105 #106 } POLO(Sum)... POLO(max)... succeeded. negrecip w: x1 + 1 #cons w: 0 s w: x1 #negrecip w: 0 2ndspos w: max(x1 + 3, x2 + 4) rnil w: 5 #plus w: 0 square w: x1 + 4 #square w: 0 pi w: x1 + 11 #rcons w: 0 rcons w: max(x1 + 1, x2) #times w: 0 #mark w: x1 0 w: 4 #posrecip w: 0 from w: x1 + 2 times w: max(x1 + 2, x2 + 3) #s w: 0 mark w: x1 2ndsneg w: max(x1 + 3, x2 + 4) plus w: max(x1 + 1, x2) #2ndspos w: 0 #from w: 0 active w: x1 cons w: max(x1 + 1, x2) #active w: x1 #pi w: 0 #2ndsneg w: 0 posrecip w: x1 + 4 USABLE RULES: { 1..61 } Removed DPs: #15 #24 #26 #31 #32 #35 #40 #51 #54 #55 #70 #78 #83 #99 #100 #105 Number of SCCs: 1, DPs: 12 SCC { #29 #33 #36 #45 #52 #56 #58 #62 #85 #94 #97 #106 } POLO(Sum)... POLO(max)... QLPOS... succeeded. negrecip s: [] p: 4 #cons s: [] p: 0 s s: [1] p: 0 #negrecip s: [] p: 0 2ndspos s: [2,1] p: 4 rnil s: [] p: 0 #plus s: [] p: 0 square s: [1] p: 7 #square s: [] p: 0 pi s: [1] p: 7 #rcons s: [2] p: 0 rcons s: [1,2] p: 3 #times s: [1] p: 0 #mark s: [1] p: 1 0 s: [] p: 0 #posrecip s: [] p: 0 from s: [] p: 7 times s: [1,2] p: 6 #s s: [] p: 0 mark s: 1 2ndsneg s: [2,1] p: 4 plus s: [2,1] p: 1 #2ndspos s: [2] p: 0 #from s: [] p: 0 active s: 1 cons s: 2 #active s: [1] p: 1 #pi s: [] p: 0 #2ndsneg s: [] p: 0 posrecip s: [] p: 4 USABLE RULES: { 1..61 } Removed DPs: #36 #45 #85 #106 Number of SCCs: 1, DPs: 4 SCC { #29 #33 #56 #58 } POLO(Sum)... POLO(max)... QLPOS... succeeded. negrecip s: [] p: 5 #cons s: [] p: 0 s s: [1] p: 0 #negrecip s: [] p: 0 2ndspos s: [2,1] p: 5 rnil s: [] p: 2 #plus s: [] p: 0 square s: [1] p: 8 #square s: [] p: 0 pi s: [1] p: 8 #rcons s: [2] p: 0 rcons s: [1,2] p: 4 #times s: [1] p: 0 #mark s: [1] p: 1 0 s: [] p: 2 #posrecip s: [] p: 0 from s: [] p: 8 times s: [1,2] p: 7 #s s: [] p: 0 mark s: 1 2ndsneg s: [2,1] p: 5 plus s: [2,1] p: 2 #2ndspos s: [2] p: 0 #from s: [] p: 0 active s: 1 cons s: 2 #active s: [1] p: 0 #pi s: [] p: 0 #2ndsneg s: [] p: 0 posrecip s: [] p: 5 USABLE RULES: { 1..61 } Removed DPs: #29 #33 #56 #58 Number of SCCs: 0, DPs: 0