0.00/0.03 % 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 : n023.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 04:25:10 CDT 2018 0.02/0.23 % CPUTime : 18.26/18.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p 18.26/18.57 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p 18.26/18.57 18.26/18.57 - the following list represents a non-clausal connection proof 18.26/18.57 (a tree in which each node is labelled with a nested clause) 18.26/18.57 - I^V is a skolem term f_I(V) for variable list V 18.26/18.57 - (I^K)^V:C is the (nested) clause C with index (I^K)^V, in which 18.26/18.57 I is the unique index of C, K distinguishes different copies 18.26/18.57 of C, and V is the list of (instantiated) variables in C 18.26/18.57 18.26/18.57 [(1167 ^ 0) ^ [] : [1151 ^ [] = pv5, 1150 ^ [] = n1], [(4 ^ 1) ^ [1151 ^ [], pv5] : [-(1151 ^ [] = pv5), pv5 = 1151 ^ []], [(473 ^ 2) ^ [1151 ^ [], pv5] : [-(pv5 = 1151 ^ []), -(gt(1151 ^ [], pv5)), leq(pv5, 1151 ^ [])], [(319 ^ 3) ^ [pv5, 1151 ^ [], pv5] : [gt(1151 ^ [], pv5), -(gt(pv5, pv5)), gt(pv5, 1151 ^ [])], [(619 ^ 4) ^ [pv5] : [gt(pv5, pv5)]], [(473 ^ 4) ^ [pv5, 1151 ^ []] : [-(gt(pv5, 1151 ^ [])), -(1151 ^ [] = pv5), leq(1151 ^ [], pv5)], [_154235 ^ _154236 : [1151 ^ [] = pv5]], [(1155 ^ 5) ^ [] : [-(leq(1151 ^ [], pv5))]]]], [(62 ^ 3) ^ [1151 ^ [], 1151 ^ [], pv5, n0] : [-(leq(pv5, 1151 ^ [])), leq(n0, 1151 ^ []), n0 = pv5, 1151 ^ [] = 1151 ^ []], [(1153 ^ 4) ^ [] : [-(leq(n0, 1151 ^ []))]], [(903 ^ 4) ^ [pv5] : [-(n0 = pv5), leq(n0, pv5), leq(pv5, n0)], [(1121 ^ 5) ^ [] : [-(leq(n0, pv5))]], [(1119 ^ 5) ^ [] : [-(leq(pv5, n0))]]], [(2 ^ 4) ^ [1151 ^ []] : [-(1151 ^ [] = 1151 ^ [])]]]]], [(1033 ^ 1) ^ [1150 ^ []] : [-(1150 ^ [] = n1), leq(n0, 1150 ^ []), leq(1150 ^ [], n2), -(1150 ^ [] = n0), -(1150 ^ [] = n2)], [(1159 ^ 2) ^ [] : [-(leq(n0, 1150 ^ []))]], [(1157 ^ 2) ^ [] : [-(leq(1150 ^ [], n2))]], [(4 ^ 2) ^ [n0, 1150 ^ []] : [1150 ^ [] = n0, -(n0 = 1150 ^ [])], [(1173 ^ 3) ^ [] : [n0 = 1150 ^ [], pv5 = 1151 ^ []], [(4 ^ 4) ^ [pv5, 1151 ^ []] : [-(pv5 = 1151 ^ []), 1151 ^ [] = pv5], [_157051 ^ _157052 : [-(1151 ^ [] = pv5)]]]]], [(4 ^ 2) ^ [n2, 1150 ^ []] : [1150 ^ [] = n2, -(n2 = 1150 ^ [])], [(1161 ^ 3) ^ [] : [n2 = 1150 ^ [], 1151 ^ [] = pv5], [_157444 ^ _157445 : [-(1151 ^ [] = pv5)]]]]]] 18.30/18.58 18.30/18.58 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p 18.30/18.58 EOF