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 0.03/0.24 % Computer : n066.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 04:37:55 CDT 2018 0.03/0.24 % CPUTime : 6.82/7.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 6.82/7.39 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p 6.82/7.39 6.82/7.39 - the following list represents a non-clausal connection proof 6.82/7.39 (a tree in which each node is labelled with a nested clause) 6.82/7.39 - I^V is a skolem term f_I(V) for variable list V 6.82/7.39 - (I^K)^V:C is the (nested) clause C with index (I^K)^V, in which 6.82/7.39 I is the unique index of C, K distinguishes different copies 6.82/7.39 of C, and V is the list of (instantiated) variables in C 6.82/7.40 6.82/7.40 [(2157 ^ 0) ^ [] : [empty_set = relation_rng(empty_set), empty_set = relation_dom(empty_set)], [(4 ^ 1) ^ [empty_set, relation_rng(empty_set)] : [-(empty_set = relation_rng(empty_set)), relation_rng(empty_set) = empty_set], [(1756 ^ 2) ^ [empty_set] : [-(relation_rng(empty_set) = empty_set), 1759 ^ 2 : [(1760 ^ 2) ^ [empty_set] : [1765 ^ 2 : [(1766 ^ 2) ^ [] : [-(in(ordered_pair(1764 ^ [empty_set, empty_set], 1761 ^ [empty_set, empty_set]), empty_set))], (1768 ^ 2) ^ [] : [in(1761 ^ [empty_set, empty_set], empty_set)]], 1769 ^ 2 : [(1770 ^ 2) ^ [] : [-(in(1761 ^ [empty_set, empty_set], empty_set))], (1772 ^ 2) ^ [_220317] : [in(ordered_pair(_220317, 1761 ^ [empty_set, empty_set]), empty_set)]]]], relation(empty_set)], [(2110 ^ 7) ^ [empty_set, ordered_pair(1764 ^ [empty_set, empty_set], 1761 ^ [empty_set, empty_set])] : [in(ordered_pair(1764 ^ [empty_set, empty_set], 1761 ^ [empty_set, empty_set]), empty_set), empty(empty_set)], [(907 ^ 8) ^ [] : [-(empty(empty_set))]]], [(2110 ^ 7) ^ [empty_set, 1761 ^ [empty_set, empty_set]] : [in(1761 ^ [empty_set, empty_set], empty_set), empty(empty_set)], [(907 ^ 8) ^ [] : [-(empty(empty_set))]]], [(909 ^ 3) ^ [] : [-(relation(empty_set))]]]], [(4 ^ 1) ^ [empty_set, relation_dom(empty_set)] : [-(empty_set = relation_dom(empty_set)), relation_dom(empty_set) = empty_set], [(495 ^ 2) ^ [empty_set] : [-(relation_dom(empty_set) = empty_set), 498 ^ 2 : [(499 ^ 2) ^ [empty_set] : [503 ^ 2 : [(504 ^ 2) ^ [] : [-(in(500 ^ [empty_set, empty_set], empty_set))], (506 ^ 2) ^ [_225096] : [in(ordered_pair(500 ^ [empty_set, empty_set], _225096), empty_set)]], 508 ^ 2 : [(509 ^ 2) ^ [] : [-(in(ordered_pair(500 ^ [empty_set, empty_set], 507 ^ [empty_set, empty_set]), empty_set))], (511 ^ 2) ^ [] : [in(500 ^ [empty_set, empty_set], empty_set)]]]], relation(empty_set)], [(2110 ^ 7) ^ [empty_set, 500 ^ [empty_set, empty_set]] : [in(500 ^ [empty_set, empty_set], empty_set), empty(empty_set)], [(907 ^ 8) ^ [] : [-(empty(empty_set))]]], [(2110 ^ 7) ^ [empty_set, ordered_pair(500 ^ [empty_set, empty_set], 507 ^ [empty_set, empty_set])] : [in(ordered_pair(500 ^ [empty_set, empty_set], 507 ^ [empty_set, empty_set]), empty_set), empty(empty_set)], [(907 ^ 8) ^ [] : [-(empty(empty_set))]]], [(909 ^ 3) ^ [] : [-(relation(empty_set))]]]]] 6.82/7.40 6.82/7.40 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p 6.82/7.40 EOF