0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.04 % Command : nanocop_casc.sh %s %d 0.03/0.24 % Computer : n170.star.cs.uiowa.edu 0.03/0.24 % Model : x86_64 x86_64 0.03/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.24 % Memory : 32218.625MB 0.03/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.24 % CPULimit : 300 0.03/0.24 % DateTime : Sat Jul 14 05:30:10 CDT 2018 0.03/0.24 % CPUTime : 59.32/59.27 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 59.32/59.28 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p 59.32/59.28 59.32/59.28 - the following list represents a non-clausal connection proof 59.32/59.28 (a tree in which each node is labelled with a nested clause) 59.32/59.28 - I^V is a skolem term f_I(V) for variable list V 59.32/59.28 - (I^K)^V:C is the (nested) clause C with index (I^K)^V, in which 59.32/59.28 I is the unique index of C, K distinguishes different copies 59.32/59.28 of C, and V is the list of (instantiated) variables in C 59.32/59.28 59.32/59.28 [(302 ^ 0) ^ [] : [equal_set(intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])))], [(208 ^ 1) ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])] : [-(equal_set(intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])))), subset(intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))), subset(intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []))], [(136 ^ 2) ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])] : [-(subset(intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])))), 138 ^ 2 : [(141 ^ 2) ^ [] : [member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])))], (139 ^ 2) ^ [] : [-(member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])))]]], [(289 ^ 5) ^ [intersection(299 ^ [], 300 ^ []), 298 ^ [], 137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])]] : [-(member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])))), member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], 298 ^ []), member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], intersection(299 ^ [], 300 ^ []))], [(244 ^ 6) ^ [difference(singleton(298 ^ []), sum(empty_set)), 137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])]] : [-(member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], 298 ^ [])), 247 ^ 6 : [(248 ^ 6) ^ [298 ^ []] : [member(298 ^ [], difference(singleton(298 ^ []), sum(empty_set)))]], member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], product(difference(singleton(298 ^ []), sum(empty_set))))], [(226 ^ 9) ^ [singleton(298 ^ []), sum(empty_set), 298 ^ []] : [-(member(298 ^ [], difference(singleton(298 ^ []), sum(empty_set)))), member(298 ^ [], singleton(298 ^ [])), -(member(298 ^ [], sum(empty_set)))], [(196 ^ 10) ^ [298 ^ [], 298 ^ []] : [-(member(298 ^ [], singleton(298 ^ []))), 298 ^ [] = 298 ^ []], [(2 ^ 11) ^ [298 ^ []] : [-(298 ^ [] = 298 ^ [])]]], [(177 ^ 10) ^ [empty_set, 298 ^ []] : [member(298 ^ [], sum(empty_set)), 181 ^ 10 : [(184 ^ 10) ^ [] : [-(member(298 ^ [], 180 ^ [empty_set, 298 ^ []]))], (182 ^ 10) ^ [] : [-(member(180 ^ [empty_set, 298 ^ []], empty_set))]]], [(175 ^ 13) ^ [180 ^ [empty_set, 298 ^ []]] : [member(180 ^ [empty_set, 298 ^ []], empty_set)]]]], [(263 ^ 7) ^ [product(difference(singleton(298 ^ []), sum(empty_set))), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), 137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])]] : [-(member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], product(difference(singleton(298 ^ []), sum(empty_set))))), member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], union(intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), product(difference(singleton(298 ^ []), sum(empty_set))))), -(member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])))], [(273 ^ 8) ^ [product(difference(singleton(298 ^ []), sum(empty_set))), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), 137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])]] : [-(member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], union(intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), product(difference(singleton(298 ^ []), sum(empty_set)))))), 274 ^ 8 : [(277 ^ 8) ^ [] : [member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []))], (275 ^ 8) ^ [] : [member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], product(difference(singleton(298 ^ []), sum(empty_set))))]]], [(139 ^ 11) ^ [] : [-(member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])))]]], [(281 ^ 8) ^ [300 ^ [], intersection(298 ^ [], 299 ^ []), 137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])]] : [member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])), 284 ^ 8 : [(287 ^ 8) ^ [] : [-(member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], 300 ^ []))], (285 ^ 8) ^ [] : [-(member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], intersection(298 ^ [], 299 ^ [])))]]], [(281 ^ 11) ^ [299 ^ [], 298 ^ [], 137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])]] : [member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], intersection(298 ^ [], 299 ^ [])), 284 ^ 11 : [(287 ^ 11) ^ [] : [-(member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], 299 ^ []))], (285 ^ 11) ^ [] : [-(member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], 298 ^ []))]]], [_34603 ^ _34604 : [member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], 298 ^ [])]]]]]], [(289 ^ 6) ^ [300 ^ [], 299 ^ [], 137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])]] : [-(member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], intersection(299 ^ [], 300 ^ []))), member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], 299 ^ []), member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], 300 ^ [])], [(263 ^ 7) ^ [299 ^ [], intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), 137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])]] : [-(member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], 299 ^ [])), member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], union(intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), 299 ^ [])), -(member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])))], [(273 ^ 8) ^ [299 ^ [], intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), 137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])]] : [-(member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], union(intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), 299 ^ []))), 274 ^ 8 : [(277 ^ 8) ^ [] : [member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []))], (275 ^ 8) ^ [] : [member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], 299 ^ [])]]], [(139 ^ 11) ^ [] : [-(member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])))]]], [(281 ^ 8) ^ [300 ^ [], intersection(298 ^ [], 299 ^ []), 137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])]] : [member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])), 284 ^ 8 : [(287 ^ 8) ^ [] : [-(member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], 300 ^ []))], (285 ^ 8) ^ [] : [-(member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], intersection(298 ^ [], 299 ^ [])))]]], [(281 ^ 11) ^ [299 ^ [], 298 ^ [], 137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])]] : [member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], intersection(298 ^ [], 299 ^ [])), 284 ^ 11 : [(287 ^ 11) ^ [] : [-(member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], 299 ^ []))], (285 ^ 11) ^ [] : [-(member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], 298 ^ []))]]], [_36163 ^ _36164 : [member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], 299 ^ [])]]]]], [(263 ^ 7) ^ [300 ^ [], intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), 137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])]] : [-(member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], 300 ^ [])), member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], union(intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), 300 ^ [])), -(member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])))], [(273 ^ 8) ^ [300 ^ [], intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), 137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])]] : [-(member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], union(intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), 300 ^ []))), 274 ^ 8 : [(277 ^ 8) ^ [] : [member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []))], (275 ^ 8) ^ [] : [member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], 300 ^ [])]]], [(139 ^ 11) ^ [] : [-(member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])))]]], [(281 ^ 8) ^ [300 ^ [], intersection(298 ^ [], 299 ^ []), 137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])]] : [member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])), 284 ^ 8 : [(287 ^ 8) ^ [] : [-(member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], 300 ^ []))], (285 ^ 8) ^ [] : [-(member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], intersection(298 ^ [], 299 ^ [])))]]], [_37238 ^ _37239 : [member(137 ^ [intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ [])], 300 ^ [])]]]]]]], [(136 ^ 2) ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))] : [-(subset(intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []))), 138 ^ 2 : [(141 ^ 2) ^ [] : [member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []))], (139 ^ 2) ^ [] : [-(member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))))]]], [(289 ^ 5) ^ [300 ^ [], intersection(298 ^ [], 299 ^ []), 137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))]] : [-(member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []))), member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], intersection(298 ^ [], 299 ^ [])), member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], 300 ^ [])], [(289 ^ 6) ^ [299 ^ [], 298 ^ [], 137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))]] : [-(member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], intersection(298 ^ [], 299 ^ []))), member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], 298 ^ []), member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], 299 ^ [])], [(263 ^ 7) ^ [298 ^ [], intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), 137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))]] : [-(member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], 298 ^ [])), member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], union(intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), 298 ^ [])), -(member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))))], [(273 ^ 8) ^ [298 ^ [], intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), 137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))]] : [-(member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], union(intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), 298 ^ []))), 274 ^ 8 : [(277 ^ 8) ^ [] : [member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])))], (275 ^ 8) ^ [] : [member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], 298 ^ [])]]], [(139 ^ 11) ^ [] : [-(member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))))]]], [(281 ^ 8) ^ [intersection(299 ^ [], 300 ^ []), 298 ^ [], 137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))]] : [member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))), 284 ^ 8 : [(287 ^ 8) ^ [] : [-(member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], intersection(299 ^ [], 300 ^ [])))], (285 ^ 8) ^ [] : [-(member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], 298 ^ []))]]], [_38955 ^ _38956 : [member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], 298 ^ [])]]]], [(263 ^ 7) ^ [299 ^ [], intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), 137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))]] : [-(member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], 299 ^ [])), member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], union(intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), 299 ^ [])), -(member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))))], [(273 ^ 8) ^ [299 ^ [], intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), 137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))]] : [-(member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], union(intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), 299 ^ []))), 274 ^ 8 : [(277 ^ 8) ^ [] : [member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])))], (275 ^ 8) ^ [] : [member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], 299 ^ [])]]], [(139 ^ 11) ^ [] : [-(member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))))]]], [(281 ^ 8) ^ [intersection(299 ^ [], 300 ^ []), 298 ^ [], 137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))]] : [member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))), 284 ^ 8 : [(287 ^ 8) ^ [] : [-(member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], intersection(299 ^ [], 300 ^ [])))], (285 ^ 8) ^ [] : [-(member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], 298 ^ []))]]], [(281 ^ 11) ^ [300 ^ [], 299 ^ [], 137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))]] : [member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], intersection(299 ^ [], 300 ^ [])), 284 ^ 11 : [(287 ^ 11) ^ [] : [-(member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], 300 ^ []))], (285 ^ 11) ^ [] : [-(member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], 299 ^ []))]]], [_40319 ^ _40320 : [member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], 299 ^ [])]]]]]], [(244 ^ 6) ^ [difference(singleton(300 ^ []), sum(empty_set)), 137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))]] : [-(member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], 300 ^ [])), 247 ^ 6 : [(248 ^ 6) ^ [300 ^ []] : [member(300 ^ [], difference(singleton(300 ^ []), sum(empty_set)))]], member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], product(difference(singleton(300 ^ []), sum(empty_set))))], [(226 ^ 9) ^ [singleton(300 ^ []), sum(empty_set), 300 ^ []] : [-(member(300 ^ [], difference(singleton(300 ^ []), sum(empty_set)))), member(300 ^ [], singleton(300 ^ [])), -(member(300 ^ [], sum(empty_set)))], [(196 ^ 10) ^ [300 ^ [], 300 ^ []] : [-(member(300 ^ [], singleton(300 ^ []))), 300 ^ [] = 300 ^ []], [(2 ^ 11) ^ [300 ^ []] : [-(300 ^ [] = 300 ^ [])]]], [(177 ^ 10) ^ [empty_set, 300 ^ []] : [member(300 ^ [], sum(empty_set)), 181 ^ 10 : [(184 ^ 10) ^ [] : [-(member(300 ^ [], 180 ^ [empty_set, 300 ^ []]))], (182 ^ 10) ^ [] : [-(member(180 ^ [empty_set, 300 ^ []], empty_set))]]], [(175 ^ 13) ^ [180 ^ [empty_set, 300 ^ []]] : [member(180 ^ [empty_set, 300 ^ []], empty_set)]]]], [(263 ^ 7) ^ [product(difference(singleton(300 ^ []), sum(empty_set))), intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), 137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))]] : [-(member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], product(difference(singleton(300 ^ []), sum(empty_set))))), member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], union(intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), product(difference(singleton(300 ^ []), sum(empty_set))))), -(member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))))], [(273 ^ 8) ^ [product(difference(singleton(300 ^ []), sum(empty_set))), intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), 137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))]] : [-(member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], union(intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])), product(difference(singleton(300 ^ []), sum(empty_set)))))), 274 ^ 8 : [(277 ^ 8) ^ [] : [member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])))], (275 ^ 8) ^ [] : [member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], product(difference(singleton(300 ^ []), sum(empty_set))))]]], [(139 ^ 11) ^ [] : [-(member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))))]]], [(281 ^ 8) ^ [intersection(299 ^ [], 300 ^ []), 298 ^ [], 137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))]] : [member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))), 284 ^ 8 : [(287 ^ 8) ^ [] : [-(member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], intersection(299 ^ [], 300 ^ [])))], (285 ^ 8) ^ [] : [-(member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], 298 ^ []))]]], [(281 ^ 11) ^ [300 ^ [], 299 ^ [], 137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))]] : [member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], intersection(299 ^ [], 300 ^ [])), 284 ^ 11 : [(287 ^ 11) ^ [] : [-(member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], 300 ^ []))], (285 ^ 11) ^ [] : [-(member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], 299 ^ []))]]], [_42687 ^ _42688 : [member(137 ^ [intersection(intersection(298 ^ [], 299 ^ []), 300 ^ []), intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))], 300 ^ [])]]]]]]]]]] 59.32/59.29 59.32/59.29 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p 59.39/59.29 EOF