0.00/0.06 YES 0.00/0.06 Input TRS: 0.00/0.06 AC symbols: or and 0.00/0.06 C symbols: eq neq 0.00/0.06 1: eq(x,x) -> true() 0.00/0.06 2: not(eq(x,y)) -> neq(x,y) 0.00/0.06 3: not(neq(x,y)) -> eq(x,y) 0.00/0.06 4: not(true()) -> false() 0.00/0.06 5: not(false()) -> true() 0.00/0.06 6: not(not(x)) -> x 0.00/0.06 7: not(and(x,y)) -> or(not(x),not(y)) 0.00/0.06 8: not(or(x,y)) -> and(not(x),not(y)) 0.00/0.06 9: neq(x,x) -> false() 0.00/0.06 10: or(and(x,y),z) -> and(or(x,z),or(y,z)) 0.00/0.06 11: or(x,x) -> x 0.00/0.06 12: or(x,true()) -> true() 0.00/0.06 13: or(x,false()) -> x 0.00/0.06 14: and(x,x) -> x 0.00/0.06 15: and(x,true()) -> x 0.00/0.06 16: and(x,false()) -> false() 0.00/0.06 17: and(x,or(x,y)) -> x 0.00/0.06 Number of strict rules: 17 0.00/0.06 Direct POLO(bPol) ... failed. 0.00/0.06 Uncurrying ... failed. 0.00/0.06 Dependency Pairs: 0.00/0.06 #1: #not(eq(x,y)) -> #neq(x,y) 0.00/0.06 #2: #not(and(x,y)) -> #or(not(x),not(y)) 0.00/0.06 #3: #not(and(x,y)) -> #not(x) 0.00/0.06 #4: #not(and(x,y)) -> #not(y) 0.00/0.06 #5: #or(and(x,y),z) -> #and(or(x,z),or(y,z)) 0.00/0.06 #6: #or(and(x,y),z) -> #or(x,z) 0.00/0.06 #7: #or(and(x,y),z) -> #or(y,z) 0.00/0.06 #8: #and(x,and(y,z)) ->= #and(and(x,y),z) 0.00/0.06 #9: #and(x,and(y,z)) ->= #and(x,y) 0.00/0.06 #10: #not(neq(x,y)) -> #eq(x,y) 0.00/0.06 #11: #not(or(x,y)) -> #and(not(x),not(y)) 0.00/0.06 #12: #not(or(x,y)) -> #not(x) 0.00/0.06 #13: #not(or(x,y)) -> #not(y) 0.00/0.06 #14: #or(x,or(y,z)) ->= #or(or(x,y),z) 0.00/0.06 #15: #or(x,or(y,z)) ->= #or(x,y) 0.00/0.06 Number of SCCs: 3, DPs: 10 0.00/0.06 SCC { #8 #9 } 0.00/0.06 only weak rules. 0.00/0.06 Number of SCCs: 2, DPs: 8 0.00/0.06 SCC { #3 #4 #12 #13 } 0.00/0.06 POLO(Sum)... succeeded. 0.00/0.06 neq w: 0 0.00/0.06 and w: x1 + x2 + 1 0.00/0.06 eq w: 0 0.00/0.06 false w: 0 0.00/0.06 true w: 0 0.00/0.06 #eq w: 0 0.00/0.06 #not w: x1 0.00/0.06 #neq w: 0 0.00/0.06 or w: x1 + x2 + 1 0.00/0.06 #or w: 0 0.00/0.06 #and w: 0 0.00/0.06 not w: 0 0.00/0.06 USABLE RULES: { } 0.00/0.06 Removed DPs: #3 #4 #12 #13 0.00/0.06 Number of SCCs: 1, DPs: 4 0.00/0.06 SCC { #6 #7 #14 #15 } 0.00/0.06 POLO(Sum)... POLO(max)... QLPOS... succeeded. 0.00/0.06 neq s: {} p: 0 0.00/0.06 and s: {1,2} p: 1 0.00/0.06 eq s: {} p: 0 0.00/0.06 false s: [] p: 0 0.00/0.06 true s: [] p: 0 0.00/0.06 #eq s: {} p: 0 0.00/0.06 #not s: [] p: 0 0.00/0.06 #neq s: {} p: 0 0.00/0.06 or s: {1,2} p: 2 0.00/0.06 #or s: {1,2} p: 2 0.00/0.06 #and s: {} p: 1 0.00/0.06 not s: [] p: 0 0.00/0.06 USABLE RULES: { 10..19 } 0.00/0.06 Removed DPs: #6 #7 #15 0.00/0.06 Number of SCCs: 1, DPs: 1 0.00/0.06 SCC { #14 } 0.00/0.06 only weak rules. 0.00/0.06 Number of SCCs: 0, DPs: 0 0.00/0.06 Next Dependency Pairs: 0.00/0.06 #16: #or(or(x,false()),_1) -> #or(x,_1) 0.00/0.06 #17: #or(or(x,x),_1) -> #or(x,_1) 0.00/0.06 #18: #or(or(x,true()),_1) -> #or(true(),_1) 0.00/0.06 #19: #and(and(x,x),_1) -> #and(x,_1) 0.00/0.06 #20: #or(or(and(x,y),z),_1) -> #or(and(or(x,z),or(y,z)),_1) 0.00/0.06 #21: #and(and(x,or(x,y)),_1) -> #and(x,_1) 0.00/0.06 #22: #and(x,and(y,z)) ->= #and(and(x,y),z) 0.00/0.06 #23: #and(x,and(y,z)) ->= #and(x,y) 0.00/0.06 #24: #and(and(x,false()),_1) -> #and(false(),_1) 0.00/0.06 #25: #and(and(x,true()),_1) -> #and(x,_1) 0.00/0.06 #26: #or(x,or(y,z)) ->= #or(or(x,y),z) 0.00/0.06 #27: #or(x,or(y,z)) ->= #or(x,y) 0.00/0.06 Number of SCCs: 2, DPs: 12 0.00/0.06 SCC { #19 #21..25 } 0.00/0.06 POLO(Sum)... succeeded. 0.00/0.06 neq w: 0 0.00/0.06 and w: x1 + x2 + 1 0.00/0.06 eq w: 0 0.00/0.06 false w: 1 0.00/0.06 true w: 1 0.00/0.06 #eq w: 0 0.00/0.06 #not w: 0 0.00/0.06 #neq w: 0 0.00/0.06 or w: x1 + x2 + 1 0.00/0.06 #or w: 0 0.00/0.06 #and w: x1 + x2 0.00/0.06 not w: 0 0.00/0.06 USABLE RULES: { 14..17 19 } 0.00/0.06 Removed DPs: #19 #21 #23..25 0.00/0.06 Number of SCCs: 2, DPs: 7 0.00/0.06 SCC { #22 } 0.00/0.06 only weak rules. 0.00/0.06 Number of SCCs: 1, DPs: 6 0.00/0.06 SCC { #16..18 #20 #26 #27 } 0.00/0.06 POLO(Sum)... POLO(max)... QLPOS... succeeded. 0.00/0.06 neq s: {} p: 0 0.00/0.06 and s: {1,2} p: 0 0.00/0.06 eq s: {} p: 0 0.00/0.06 false s: [] p: 2 0.00/0.06 true s: [] p: 0 0.00/0.06 #eq s: {} p: 0 0.00/0.06 #not s: [] p: 0 0.00/0.06 #neq s: {} p: 0 0.00/0.06 or s: {1,2} p: 1 0.00/0.06 #or s: {1,2} p: 1 0.00/0.06 #and s: {} p: 0 0.00/0.06 not s: [] p: 0 0.00/0.06 USABLE RULES: { 10..19 } 0.00/0.06 Removed DPs: #16..18 #20 #27 0.00/0.06 Number of SCCs: 1, DPs: 1 0.00/0.06 SCC { #26 } 0.00/0.06 only weak rules. 0.00/0.06 Number of SCCs: 0, DPs: 0 0.00/0.06 EOF