0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : nanocop_casc.sh %s %d 0.12/0.34 % Computer : n025.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 180 0.12/0.34 % DateTime : Thu Aug 29 09:23:00 EDT 2019 0.12/0.34 % CPUTime : 0.45/1.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p 0.45/1.42 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p 0.45/1.42 0.45/1.42 - the following list represents a non-clausal connection proof 0.45/1.42 (a tree in which each node is labelled with a nested clause) 0.45/1.42 - I^V is a skolem term f_I(V) for variable list V 0.45/1.42 - (I^K)^V:C is the (nested) clause C with index (I^K)^V, in which 0.45/1.42 I is the unique index of C, K distinguishes different copies 0.45/1.42 of C, and V is the list of (instantiated) variables in C 0.45/1.42 0.45/1.42 [(300 ^ 0) ^ [] : [equal_set(union(298 ^ [], empty_set), 298 ^ [])], [(214 ^ 1) ^ [298 ^ [], union(298 ^ [], empty_set)] : [-(equal_set(union(298 ^ [], empty_set), 298 ^ [])), subset(union(298 ^ [], empty_set), 298 ^ []), subset(298 ^ [], union(298 ^ [], empty_set))], [(158 ^ 2) ^ [298 ^ [], union(298 ^ [], empty_set)] : [-(subset(union(298 ^ [], empty_set), 298 ^ [])), 160 ^ 2 : [(161 ^ 2) ^ [] : [-(member(159 ^ [298 ^ [], union(298 ^ [], empty_set)], union(298 ^ [], empty_set)))], (163 ^ 2) ^ [] : [member(159 ^ [298 ^ [], union(298 ^ [], empty_set)], 298 ^ [])]]], [(258 ^ 5) ^ [empty_set, 298 ^ [], 159 ^ [298 ^ [], union(298 ^ [], empty_set)]] : [member(159 ^ [298 ^ [], union(298 ^ [], empty_set)], union(298 ^ [], empty_set)), -(member(159 ^ [298 ^ [], union(298 ^ [], empty_set)], 298 ^ [])), -(member(159 ^ [298 ^ [], union(298 ^ [], empty_set)], empty_set))], [(163 ^ 6) ^ [] : [member(159 ^ [298 ^ [], union(298 ^ [], empty_set)], 298 ^ [])]], [(156 ^ 6) ^ [159 ^ [298 ^ [], union(298 ^ [], empty_set)]] : [member(159 ^ [298 ^ [], union(298 ^ [], empty_set)], empty_set)]]]], [(158 ^ 2) ^ [union(298 ^ [], empty_set), 298 ^ []] : [-(subset(298 ^ [], union(298 ^ [], empty_set))), 160 ^ 2 : [(161 ^ 2) ^ [] : [-(member(159 ^ [union(298 ^ [], empty_set), 298 ^ []], 298 ^ []))], (163 ^ 2) ^ [] : [member(159 ^ [union(298 ^ [], empty_set), 298 ^ []], union(298 ^ [], empty_set))]]], [(250 ^ 5) ^ [empty_set, 298 ^ [], 159 ^ [union(298 ^ [], empty_set), 298 ^ []]] : [member(159 ^ [union(298 ^ [], empty_set), 298 ^ []], 298 ^ []), 251 ^ 5 : [(252 ^ 5) ^ [] : []], -(member(159 ^ [union(298 ^ [], empty_set), 298 ^ []], union(298 ^ [], empty_set)))], [(163 ^ 6) ^ [] : [member(159 ^ [union(298 ^ [], empty_set), 298 ^ []], union(298 ^ [], empty_set))]]]]]] 0.45/1.43 0.45/1.43 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p 0.45/1.43 EOF