0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : nanocop_casc.sh %s %d 0.02/0.23 % Computer : n172.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 05:14:54 CDT 2018 0.02/0.23 % CPUTime : 4.12/4.33 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p 4.12/4.33 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p 4.12/4.33 4.12/4.33 - the following list represents a non-clausal connection proof 4.12/4.33 (a tree in which each node is labelled with a nested clause) 4.12/4.33 - I^V is a skolem term f_I(V) for variable list V 4.12/4.33 - (I^K)^V:C is the (nested) clause C with index (I^K)^V, in which 4.12/4.33 I is the unique index of C, K distinguishes different copies 4.12/4.33 of C, and V is the list of (instantiated) variables in C 4.12/4.33 4.12/4.33 [(194 ^ 0) ^ [] : [intersection(190 ^ [], difference(191 ^ [], 192 ^ [])) = difference(intersection(190 ^ [], 191 ^ []), 192 ^ [])], [(84 ^ 1) ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))] : [-(intersection(190 ^ [], difference(191 ^ [], 192 ^ [])) = difference(intersection(190 ^ [], 191 ^ []), 192 ^ [])), 88 ^ 1 : [(89 ^ 1) ^ [] : [-(member(85 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], difference(intersection(190 ^ [], 191 ^ []), 192 ^ [])))], (91 ^ 1) ^ [] : [member(85 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], intersection(190 ^ [], difference(191 ^ [], 192 ^ [])))]], 92 ^ 1 : [(93 ^ 1) ^ [] : [-(member(85 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], intersection(190 ^ [], difference(191 ^ [], 192 ^ []))))], (95 ^ 1) ^ [] : [member(85 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], difference(intersection(190 ^ [], 191 ^ []), 192 ^ []))]]], [(114 ^ 4) ^ [85 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], 192 ^ [], intersection(190 ^ [], 191 ^ [])] : [member(85 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], difference(intersection(190 ^ [], 191 ^ []), 192 ^ [])), 117 ^ 4 : [(118 ^ 4) ^ [] : [member(85 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], 192 ^ [])], (120 ^ 4) ^ [] : [-(member(85 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], intersection(190 ^ [], 191 ^ [])))]]], [(173 ^ 7) ^ [85 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], 191 ^ [], 190 ^ []] : [member(85 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], intersection(190 ^ [], 191 ^ [])), 176 ^ 7 : [(177 ^ 7) ^ [] : [-(member(85 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], 190 ^ []))], (179 ^ 7) ^ [] : [-(member(85 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], 191 ^ []))]]], [(181 ^ 10) ^ [85 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], difference(191 ^ [], 192 ^ []), 190 ^ []] : [member(85 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], 190 ^ []), -(member(85 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], intersection(190 ^ [], difference(191 ^ [], 192 ^ [])))), member(85 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], difference(191 ^ [], 192 ^ []))], [(34 ^ 11) ^ [intersection(190 ^ [], difference(191 ^ [], 192 ^ [])), intersection(190 ^ [], difference(191 ^ [], 192 ^ [])), 85 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], 85 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))]] : [member(85 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], intersection(190 ^ [], difference(191 ^ [], 192 ^ []))), -(member(85 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], intersection(190 ^ [], difference(191 ^ [], 192 ^ [])))), 85 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))] = 85 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], intersection(190 ^ [], difference(191 ^ [], 192 ^ [])) = intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], [(91 ^ 12) ^ [] : [member(85 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], intersection(190 ^ [], difference(191 ^ [], 192 ^ [])))]], [(2 ^ 12) ^ [85 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))]] : [-(85 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))] = 85 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))])]], [(2 ^ 12) ^ [intersection(190 ^ [], difference(191 ^ [], 192 ^ []))] : [-(intersection(190 ^ [], difference(191 ^ [], 192 ^ [])) = intersection(190 ^ [], difference(191 ^ [], 192 ^ [])))]]], [(122 ^ 11) ^ [85 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], 192 ^ [], 191 ^ []] : [-(member(85 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], difference(191 ^ [], 192 ^ []))), -(member(85 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], 192 ^ [])), member(85 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], 191 ^ [])], [(118 ^ 12) ^ [] : [member(85 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], 192 ^ [])]], [(179 ^ 12) ^ [] : [-(member(85 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], 191 ^ []))]]]]]], [(173 ^ 4) ^ [85 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], difference(191 ^ [], 192 ^ []), 190 ^ []] : [member(85 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], intersection(190 ^ [], difference(191 ^ [], 192 ^ []))), 176 ^ 4 : [(177 ^ 4) ^ [] : [-(member(85 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], 190 ^ []))], (179 ^ 4) ^ [] : [-(member(85 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], difference(191 ^ [], 192 ^ [])))]]], [(181 ^ 7) ^ [85 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], 191 ^ [], 190 ^ []] : [member(85 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], 190 ^ []), -(member(85 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], intersection(190 ^ [], 191 ^ []))), member(85 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], 191 ^ [])], [(122 ^ 8) ^ [85 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], 192 ^ [], intersection(190 ^ [], 191 ^ [])] : [member(85 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], intersection(190 ^ [], 191 ^ [])), -(member(85 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], difference(intersection(190 ^ [], 191 ^ []), 192 ^ []))), -(member(85 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], 192 ^ []))], [(95 ^ 9) ^ [] : [member(85 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], difference(intersection(190 ^ [], 191 ^ []), 192 ^ []))]], [(114 ^ 9) ^ [85 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], 192 ^ [], 191 ^ []] : [member(85 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], 192 ^ []), 117 ^ 9 : [(118 ^ 9) ^ [] : []], member(85 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], difference(191 ^ [], 192 ^ []))], [(179 ^ 10) ^ [] : [-(member(85 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], difference(191 ^ [], 192 ^ [])))]]]], [(114 ^ 8) ^ [85 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], 192 ^ [], 191 ^ []] : [-(member(85 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], 191 ^ [])), 117 ^ 8 : [(120 ^ 8) ^ [] : []], member(85 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], difference(191 ^ [], 192 ^ []))], [(179 ^ 9) ^ [] : [-(member(85 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], difference(191 ^ [], 192 ^ [])))]]]]]]] 4.12/4.34 4.12/4.34 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p 4.12/4.34 EOF