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 : n009.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 11:34:42 EDT 2019 0.12/0.34 % CPUTime : 0.34/1.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 0.34/1.42 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p 0.34/1.42 0.34/1.42 - the following list represents a non-clausal connection proof 0.34/1.42 (a tree in which each node is labelled with a nested clause) 0.34/1.42 - I^V is a skolem term f_I(V) for variable list V 0.34/1.42 - (I^K)^V:C is the (nested) clause C with index (I^K)^V, in which 0.34/1.42 I is the unique index of C, K distinguishes different copies 0.34/1.42 of C, and V is the list of (instantiated) variables in C 0.34/1.42 0.34/1.42 [(1201 ^ 0) ^ [] : [1204 ^ 0 : [(1213 ^ 0) ^ [] : [a_select3(q_ds1_filter, 1202 ^ [], 1203 ^ []) = a_select3(q_ds1_filter, 1203 ^ [], 1202 ^ [])]], 1217 ^ 0 : [(1227 ^ 0) ^ [] : [a_select3(id_ds1_filter, 1221 ^ [], 1216 ^ []) = a_select3(id_ds1_filter, 1216 ^ [], 1221 ^ [])]], 1232 ^ 0 : [(1241 ^ 0) ^ [] : [a_select3(pminus_ds1_filter, 1231 ^ [], 1230 ^ []) = a_select3(pminus_ds1_filter, 1230 ^ [], 1231 ^ [])]], 1246 ^ 0 : [(1255 ^ 0) ^ [] : [a_select3(pminus_ds1_filter, 1244 ^ [], 1245 ^ []) = a_select3(pminus_ds1_filter, 1245 ^ [], 1244 ^ [])]], 1260 ^ 0 : [(1269 ^ 0) ^ [] : [a_select3(r_ds1_filter, 1258 ^ [], 1259 ^ []) = a_select3(r_ds1_filter, 1259 ^ [], 1258 ^ [])]], leq(pv5, minus(n999, n1)), leq(n0, pv5)], [(1111 ^ 3) ^ [1203 ^ [], 1202 ^ []] : [-(a_select3(q_ds1_filter, 1202 ^ [], 1203 ^ []) = a_select3(q_ds1_filter, 1203 ^ [], 1202 ^ [])), leq(1202 ^ [], minus(n6, n1)), leq(1203 ^ [], minus(n6, n1)), leq(n0, 1203 ^ []), leq(n0, 1202 ^ [])], [(1205 ^ 4) ^ [] : [-(leq(1202 ^ [], minus(n6, n1)))]], [(1207 ^ 4) ^ [] : [-(leq(1203 ^ [], minus(n6, n1)))]], [(1209 ^ 4) ^ [] : [-(leq(n0, 1203 ^ []))]], [(1211 ^ 4) ^ [] : [-(leq(n0, 1202 ^ []))]]], [(1147 ^ 3) ^ [1221 ^ []] : [-(a_select3(id_ds1_filter, 1221 ^ [], 1216 ^ []) = a_select3(id_ds1_filter, 1216 ^ [], 1221 ^ [])), 1154 ^ 3 : [(1155 ^ 3) ^ [1216 ^ []] : [leq(n0, 1216 ^ []), leq(1216 ^ [], minus(n6, n1))]], leq(1221 ^ [], minus(n6, n1)), leq(n0, 1221 ^ [])], [(1220 ^ 6) ^ [] : [-(leq(n0, 1216 ^ []))]], [(1218 ^ 6) ^ [] : [-(leq(1216 ^ [], minus(n6, n1)))]], [(1225 ^ 4) ^ [] : [-(leq(1221 ^ [], minus(n6, n1)))]], [(1223 ^ 4) ^ [] : [-(leq(n0, 1221 ^ []))]]], [(1129 ^ 3) ^ [1230 ^ [], 1231 ^ []] : [-(a_select3(pminus_ds1_filter, 1231 ^ [], 1230 ^ []) = a_select3(pminus_ds1_filter, 1230 ^ [], 1231 ^ [])), leq(n0, 1231 ^ []), leq(n0, 1230 ^ []), leq(1231 ^ [], minus(n6, n1)), leq(1230 ^ [], minus(n6, n1))], [(1233 ^ 4) ^ [] : [-(leq(n0, 1231 ^ []))]], [(1239 ^ 4) ^ [] : [-(leq(n0, 1230 ^ []))]], [(1235 ^ 4) ^ [] : [-(leq(1231 ^ [], minus(n6, n1)))]], [(1237 ^ 4) ^ [] : [-(leq(1230 ^ [], minus(n6, n1)))]]], [(1129 ^ 3) ^ [1245 ^ [], 1244 ^ []] : [-(a_select3(pminus_ds1_filter, 1244 ^ [], 1245 ^ []) = a_select3(pminus_ds1_filter, 1245 ^ [], 1244 ^ [])), leq(n0, 1244 ^ []), leq(n0, 1245 ^ []), leq(1244 ^ [], minus(n6, n1)), leq(1245 ^ [], minus(n6, n1))], [(1253 ^ 4) ^ [] : [-(leq(n0, 1244 ^ []))]], [(1247 ^ 4) ^ [] : [-(leq(n0, 1245 ^ []))]], [(1249 ^ 4) ^ [] : [-(leq(1244 ^ [], minus(n6, n1)))]], [(1251 ^ 4) ^ [] : [-(leq(1245 ^ [], minus(n6, n1)))]]], [(1183 ^ 3) ^ [1258 ^ [], 1259 ^ []] : [-(a_select3(r_ds1_filter, 1258 ^ [], 1259 ^ []) = a_select3(r_ds1_filter, 1259 ^ [], 1258 ^ [])), leq(n0, 1259 ^ []), leq(1259 ^ [], minus(n3, n1)), leq(1258 ^ [], minus(n3, n1)), leq(n0, 1258 ^ [])], [(1263 ^ 4) ^ [] : [-(leq(n0, 1259 ^ []))]], [(1265 ^ 4) ^ [] : [-(leq(1259 ^ [], minus(n3, n1)))]], [(1267 ^ 4) ^ [] : [-(leq(1258 ^ [], minus(n3, n1)))]], [(1261 ^ 4) ^ [] : [-(leq(n0, 1258 ^ []))]]], [(1109 ^ 1) ^ [] : [-(leq(pv5, minus(n999, n1)))]], [(1107 ^ 1) ^ [] : [-(leq(n0, pv5))]]] 0.34/1.43 0.34/1.43 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p 0.34/1.43 EOF