0.02/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.02/0.04 % Command : nanocop_casc.sh %s %d 0.02/0.23 % Computer : n161.star.cs.uiowa.edu 0.02/0.23 % Model : x86_64 x86_64 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.02/0.23 % Memory : 32218.625MB 0.02/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.02/0.23 % CPULimit : 300 0.02/0.23 % DateTime : Sat Jul 14 05:33:55 CDT 2018 0.02/0.23 % CPUTime : 11.92/12.46 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 11.92/12.46 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p 11.92/12.46 11.92/12.46 - the following list represents a non-clausal connection proof 11.92/12.46 (a tree in which each node is labelled with a nested clause) 11.92/12.46 - I^V is a skolem term f_I(V) for variable list V 11.92/12.46 - (I^K)^V:C is the (nested) clause C with index (I^K)^V, in which 11.92/12.46 I is the unique index of C, K distinguishes different copies 11.92/12.46 of C, and V is the list of (instantiated) variables in C 11.92/12.46 11.92/12.46 [(181 ^ 0) ^ [] : [union(177 ^ [], intersection(178 ^ [], 179 ^ [])) = intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ []))], [(84 ^ 1) ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))] : [-(union(177 ^ [], intersection(178 ^ [], 179 ^ [])) = intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ []))), 88 ^ 1 : [(89 ^ 1) ^ [] : [-(member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], union(177 ^ [], intersection(178 ^ [], 179 ^ []))))], (91 ^ 1) ^ [] : [member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])))]], 92 ^ 1 : [(93 ^ 1) ^ [] : [-(member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ []))))], (95 ^ 1) ^ [] : [member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], union(177 ^ [], intersection(178 ^ [], 179 ^ [])))]]], [(107 ^ 4) ^ [85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], intersection(178 ^ [], 179 ^ []), 177 ^ []] : [member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], union(177 ^ [], intersection(178 ^ [], 179 ^ []))), -(member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], intersection(178 ^ [], 179 ^ []))), -(member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], 177 ^ []))], [(99 ^ 5) ^ [85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], intersection(178 ^ [], 179 ^ []), _18783] : [member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], intersection(178 ^ [], 179 ^ [])), 100 ^ 5 : [(101 ^ 5) ^ [] : []], -(member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], union(_18783, intersection(178 ^ [], 179 ^ []))))], [(137 ^ 6) ^ [85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(_18783, intersection(178 ^ [], 179 ^ []))] : [member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], union(_18783, intersection(178 ^ [], 179 ^ []))), -(member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], intersection(union(_18783, intersection(178 ^ [], 179 ^ [])), intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ []))))), member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])))], [(147 ^ 7) ^ [85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(_18783, intersection(178 ^ [], 179 ^ []))] : [member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], intersection(union(_18783, intersection(178 ^ [], 179 ^ [])), intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])))), 150 ^ 7 : [(151 ^ 7) ^ [] : [-(member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], union(_18783, intersection(178 ^ [], 179 ^ []))))], (153 ^ 7) ^ [] : [-(member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ []))))]]], [(20 ^ 10) ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), 85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], 85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))]] : [member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ []))), -(member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])))), 85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))] = 85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])) = intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ []))], [(91 ^ 11) ^ [] : [member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])))]], [(2 ^ 11) ^ [85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))]] : [-(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))] = 85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))])]], [(2 ^ 11) ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ []))] : [-(intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])) = intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])))]]]], [(137 ^ 7) ^ [85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], union(177 ^ [], 179 ^ []), union(177 ^ [], 178 ^ [])] : [-(member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])))), member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], union(177 ^ [], 178 ^ [])), member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], union(177 ^ [], 179 ^ []))], [(99 ^ 8) ^ [85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], 178 ^ [], 177 ^ []] : [-(member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], union(177 ^ [], 178 ^ []))), 100 ^ 8 : [(101 ^ 8) ^ [] : [member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], 178 ^ [])], (103 ^ 8) ^ [] : [member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], 177 ^ [])]]], [(147 ^ 11) ^ [85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], 179 ^ [], 178 ^ []] : [-(member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], 178 ^ [])), 150 ^ 11 : [(151 ^ 11) ^ [] : []], member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], intersection(178 ^ [], 179 ^ []))], [_20709 ^ _20710 : [-(member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], intersection(178 ^ [], 179 ^ [])))]]]], [(99 ^ 8) ^ [85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], 179 ^ [], 177 ^ []] : [-(member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], union(177 ^ [], 179 ^ []))), 100 ^ 8 : [(101 ^ 8) ^ [] : [member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], 179 ^ [])], (103 ^ 8) ^ [] : [member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], 177 ^ [])]]], [(147 ^ 11) ^ [85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], 179 ^ [], 178 ^ []] : [-(member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], 179 ^ [])), 150 ^ 11 : [(153 ^ 11) ^ [] : []], member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], intersection(178 ^ [], 179 ^ []))], [_21184 ^ _21185 : [-(member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], intersection(178 ^ [], 179 ^ [])))]]]]]]], [(99 ^ 5) ^ [85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], 177 ^ [], _21245] : [member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], 177 ^ []), 100 ^ 5 : [(101 ^ 5) ^ [] : []], -(member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], union(_21245, 177 ^ [])))], [(99 ^ 6) ^ [85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], union(_21245, 177 ^ []), _21451] : [member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], union(_21245, 177 ^ [])), 100 ^ 6 : [(101 ^ 6) ^ [] : []], -(member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], union(_21451, union(_21245, 177 ^ []))))], [(137 ^ 7) ^ [85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(_21451, union(_21245, 177 ^ []))] : [member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], union(_21451, union(_21245, 177 ^ []))), -(member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], intersection(union(_21451, union(_21245, 177 ^ [])), intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ []))))), member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])))], [(147 ^ 8) ^ [85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(_21451, union(_21245, 177 ^ []))] : [member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], intersection(union(_21451, union(_21245, 177 ^ [])), intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])))), 150 ^ 8 : [(151 ^ 8) ^ [] : [-(member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], union(_21451, union(_21245, 177 ^ []))))], (153 ^ 8) ^ [] : [-(member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ []))))]]], [(91 ^ 11) ^ [] : [member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])))]]], [(137 ^ 8) ^ [85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], union(177 ^ [], 179 ^ []), union(177 ^ [], 178 ^ [])] : [-(member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])))), member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], union(177 ^ [], 178 ^ [])), member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], union(177 ^ [], 179 ^ []))], [(99 ^ 9) ^ [85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], 178 ^ [], 177 ^ []] : [-(member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], union(177 ^ [], 178 ^ []))), 100 ^ 9 : [(101 ^ 9) ^ [] : [member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], 178 ^ [])], (103 ^ 9) ^ [] : [member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], 177 ^ [])]]], [_22810 ^ _22811 : [-(member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], 177 ^ []))]]], [(99 ^ 9) ^ [85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], 179 ^ [], 177 ^ []] : [-(member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], union(177 ^ [], 179 ^ []))), 100 ^ 9 : [(101 ^ 9) ^ [] : [member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], 179 ^ [])], (103 ^ 9) ^ [] : [member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], 177 ^ [])]]], [_23053 ^ _23054 : [-(member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], 177 ^ []))]]]]]]]], [(99 ^ 4) ^ [85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], intersection(178 ^ [], 179 ^ []), 177 ^ []] : [-(member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], union(177 ^ [], intersection(178 ^ [], 179 ^ [])))), 100 ^ 4 : [(101 ^ 4) ^ [] : [member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], intersection(178 ^ [], 179 ^ []))], (103 ^ 4) ^ [] : [member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], 177 ^ [])]]], [(137 ^ 7) ^ [85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], 179 ^ [], 178 ^ []] : [-(member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], intersection(178 ^ [], 179 ^ []))), member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], 178 ^ []), member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], 179 ^ [])], [(107 ^ 8) ^ [85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], 178 ^ [], intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ []))] : [-(member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], 178 ^ [])), member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], union(intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), 178 ^ [])), -(member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ []))))], [(99 ^ 9) ^ [85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], 178 ^ [], intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ []))] : [-(member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], union(intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), 178 ^ []))), 100 ^ 9 : [(101 ^ 9) ^ [] : [member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], 178 ^ [])], (103 ^ 9) ^ [] : [member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])))]]], [(93 ^ 12) ^ [] : [-(member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ []))))]]], [(147 ^ 9) ^ [85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], union(177 ^ [], 179 ^ []), union(177 ^ [], 178 ^ [])] : [member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ []))), 150 ^ 9 : [(151 ^ 9) ^ [] : [-(member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], union(177 ^ [], 178 ^ [])))], (153 ^ 9) ^ [] : [-(member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], union(177 ^ [], 179 ^ [])))]]], [(107 ^ 12) ^ [85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], 178 ^ [], 177 ^ []] : [member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], union(177 ^ [], 178 ^ [])), -(member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], 178 ^ [])), -(member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], 177 ^ []))], [_24643 ^ _24644 : [member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], 178 ^ [])]], [(103 ^ 13) ^ [] : [member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], 177 ^ [])]]]]], [(107 ^ 8) ^ [85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], 179 ^ [], intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ []))] : [-(member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], 179 ^ [])), member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], union(intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), 179 ^ [])), -(member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ []))))], [(99 ^ 9) ^ [85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], 179 ^ [], intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ []))] : [-(member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], union(intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), 179 ^ []))), 100 ^ 9 : [(101 ^ 9) ^ [] : [member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], 179 ^ [])], (103 ^ 9) ^ [] : [member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])))]]], [(93 ^ 12) ^ [] : [-(member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ []))))]]], [(147 ^ 9) ^ [85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], union(177 ^ [], 179 ^ []), union(177 ^ [], 178 ^ [])] : [member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ []))), 150 ^ 9 : [(151 ^ 9) ^ [] : [-(member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], union(177 ^ [], 178 ^ [])))], (153 ^ 9) ^ [] : [-(member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], union(177 ^ [], 179 ^ [])))]]], [(107 ^ 12) ^ [85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], 179 ^ [], 177 ^ []] : [member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], union(177 ^ [], 179 ^ [])), -(member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], 179 ^ [])), -(member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], 177 ^ []))], [_26066 ^ _26067 : [member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], 179 ^ [])]], [(103 ^ 13) ^ [] : [member(85 ^ [intersection(union(177 ^ [], 178 ^ []), union(177 ^ [], 179 ^ [])), union(177 ^ [], intersection(178 ^ [], 179 ^ []))], 177 ^ [])]]]]]]]]] 11.92/12.46 11.92/12.47 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p 11.92/12.47 EOF