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 : n134.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 : Fri Jul 13 14:53:36 CDT 2018 0.02/0.23 % CPUTime : 0.33/1.27 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 0.33/1.28 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p 0.33/1.28 0.33/1.28 - the following list represents a non-clausal connection proof 0.33/1.28 (a tree in which each node is labelled with a nested clause) 0.33/1.28 - I^V is a skolem term f_I(V) for variable list V 0.33/1.28 - (I^K)^V:C is the (nested) clause C with index (I^K)^V, in which 0.33/1.28 I is the unique index of C, K distinguishes different copies 0.33/1.28 of C, and V is the list of (instantiated) variables in C 0.33/1.28 0.33/1.28 [(492 ^ 0) ^ [] : [478 ^ [] = pv64], [(68 ^ 1) ^ [] : [-(478 ^ [] = pv64), 241 ^ 1 : [(242 ^ 1) ^ [478 ^ [], 477 ^ []] : [leq(n0, 477 ^ []), leq(478 ^ [], n5), leq(477 ^ [], n5), leq(n0, 478 ^ []), -(init = a_select3(id_ds1_filter_init, 477 ^ [], 478 ^ [])), leq(478 ^ [], pv64), pv63 = 477 ^ []]], -(pv63 = pv64), leq(n0, pv63), leq(pv5, n998), leq(pv63, n5), 89 ^ 1 : [(90 ^ 1) ^ [] : [-(leq(88 ^ [], n5))], (92 ^ 1) ^ [] : [-(leq(87 ^ [], n2))], (94 ^ 1) ^ [] : [-(leq(n0, 88 ^ []))], (96 ^ 1) ^ [] : [-(leq(n0, 87 ^ []))], (98 ^ 1) ^ [] : [init = a_select3(h_ds1_filter_init, 87 ^ [], 88 ^ [])]], 103 ^ 1 : [(104 ^ 1) ^ [] : [-(leq(101 ^ [], n5))], (106 ^ 1) ^ [] : [-(leq(102 ^ [], n0))], (108 ^ 1) ^ [] : [-(leq(n0, 102 ^ []))], (110 ^ 1) ^ [] : [-(leq(n0, 101 ^ []))], (112 ^ 1) ^ [] : [a_select3(dv_ds1_filter_init, 101 ^ [], 102 ^ []) = init]], 117 ^ 1 : [(118 ^ 1) ^ [] : [-(leq(n0, 116 ^ []))], (120 ^ 1) ^ [] : [-(leq(116 ^ [], n2))], (122 ^ 1) ^ [] : [-(leq(115 ^ [], n2))], (124 ^ 1) ^ [] : [-(leq(n0, 115 ^ []))], (126 ^ 1) ^ [] : [a_select3(r_ds1_filter_init, 115 ^ [], 116 ^ []) = init]], 131 ^ 1 : [(132 ^ 1) ^ [] : [-(leq(129 ^ [], n5))], (134 ^ 1) ^ [] : [-(leq(130 ^ [], n5))], (136 ^ 1) ^ [] : [-(leq(n0, 130 ^ []))], (138 ^ 1) ^ [] : [-(leq(n0, 129 ^ []))], (140 ^ 1) ^ [] : [-(gt(pv64, 130 ^ []))], (142 ^ 1) ^ [] : [-(pv63 = 129 ^ [])], (144 ^ 1) ^ [] : [init = a_select3(id_ds1_filter_init, 129 ^ [], 130 ^ [])]], 149 ^ 1 : [(150 ^ 1) ^ [] : [-(leq(147 ^ [], n5))], (152 ^ 1) ^ [] : [-(leq(148 ^ [], n5))], (154 ^ 1) ^ [] : [-(leq(n0, 148 ^ []))], (156 ^ 1) ^ [] : [-(leq(n0, 147 ^ []))], (158 ^ 1) ^ [] : [-(gt(pv63, 147 ^ []))], (160 ^ 1) ^ [] : [init = a_select3(id_ds1_filter_init, 147 ^ [], 148 ^ [])]], 164 ^ 1 : [(165 ^ 1) ^ [] : [-(leq(163 ^ [], pred(pv63)))], (167 ^ 1) ^ [] : [-(leq(n0, 163 ^ []))], (170 ^ 1) ^ [] : [-(leq(n0, 168 ^ []))], (172 ^ 1) ^ [] : [-(leq(168 ^ [], n5))], (174 ^ 1) ^ [] : [a_select3(id_ds1_filter_init, 163 ^ [], 168 ^ []) = init]], 179 ^ 1 : [(180 ^ 1) ^ [] : [-(leq(n0, 177 ^ []))], (182 ^ 1) ^ [] : [-(leq(177 ^ [], n5))], (184 ^ 1) ^ [] : [-(leq(178 ^ [], n5))], (186 ^ 1) ^ [] : [-(leq(n0, 178 ^ []))], (188 ^ 1) ^ [] : [init = a_select3(pminus_ds1_filter_init, 177 ^ [], 178 ^ [])]], 193 ^ 1 : [(194 ^ 1) ^ [] : [-(leq(n0, 191 ^ []))], (196 ^ 1) ^ [] : [-(leq(191 ^ [], n5))], (198 ^ 1) ^ [] : [-(leq(192 ^ [], n0))], (200 ^ 1) ^ [] : [-(leq(n0, 192 ^ []))], (202 ^ 1) ^ [] : [a_select3(xhatmin_ds1_filter_init, 191 ^ [], 192 ^ []) = init]], 207 ^ 1 : [(208 ^ 1) ^ [] : [-(leq(n0, 205 ^ []))], (210 ^ 1) ^ [] : [-(leq(206 ^ [], n5))], (212 ^ 1) ^ [] : [-(leq(205 ^ [], n5))], (214 ^ 1) ^ [] : [-(leq(n0, 206 ^ []))], (216 ^ 1) ^ [] : [init = a_select3(q_ds1_filter_init, 205 ^ [], 206 ^ [])]], 221 ^ 1 : [(222 ^ 1) ^ [] : [-(leq(n0, 219 ^ []))], (224 ^ 1) ^ [] : [-(leq(219 ^ [], n5))], (226 ^ 1) ^ [] : [-(leq(220 ^ [], n5))], (228 ^ 1) ^ [] : [-(leq(n0, 220 ^ []))], (230 ^ 1) ^ [] : [init = a_select3(phi_ds1_filter_init, 219 ^ [], 220 ^ [])]], leq(pv64, n5), leq(n0, pv64), leq(n0, pv5)], [(34 ^ 4) ^ [477 ^ [], 477 ^ [], n0, n0] : [-(leq(n0, 477 ^ [])), leq(n0, 477 ^ []), n0 = n0, 477 ^ [] = 477 ^ []], [(480 ^ 5) ^ [] : [-(leq(n0, 477 ^ []))]], [(2 ^ 5) ^ [n0] : [-(n0 = n0)]], [(2 ^ 5) ^ [477 ^ []] : [-(477 ^ [] = 477 ^ [])]]], [(484 ^ 4) ^ [] : [-(leq(478 ^ [], n5))]], [(486 ^ 4) ^ [] : [-(leq(477 ^ [], n5))]], [(482 ^ 4) ^ [] : [-(leq(n0, 478 ^ []))]], [(10 ^ 4) ^ [init, a_select3(id_ds1_filter_init, 477 ^ [], 478 ^ []), init] : [init = a_select3(id_ds1_filter_init, 477 ^ [], 478 ^ []), -(init = init), a_select3(id_ds1_filter_init, 477 ^ [], 478 ^ []) = init], [(10 ^ 5) ^ [a_select3(id_ds1_filter_init, 477 ^ [], 478 ^ []), init, init] : [init = init, -(init = a_select3(id_ds1_filter_init, 477 ^ [], 478 ^ [])), init = a_select3(id_ds1_filter_init, 477 ^ [], 478 ^ [])], [(494 ^ 6) ^ [] : [init = a_select3(id_ds1_filter_init, 477 ^ [], 478 ^ [])]], [_51961 ^ _51962 : [-(init = a_select3(id_ds1_filter_init, 477 ^ [], 478 ^ []))]]], [(4 ^ 5) ^ [a_select3(id_ds1_filter_init, 477 ^ [], 478 ^ []), init] : [-(a_select3(id_ds1_filter_init, 477 ^ [], 478 ^ []) = init), init = a_select3(id_ds1_filter_init, 477 ^ [], 478 ^ [])], [_52091 ^ _52092 : [-(init = a_select3(id_ds1_filter_init, 477 ^ [], 478 ^ []))]]]], [(488 ^ 4) ^ [] : [-(leq(478 ^ [], pv64))]], [(4 ^ 4) ^ [pv63, 477 ^ []] : [-(pv63 = 477 ^ []), 477 ^ [] = pv63], [(490 ^ 5) ^ [] : [-(477 ^ [] = pv63)]]], [(4 ^ 2) ^ [pv64, pv63] : [pv63 = pv64, -(pv64 = pv63)], [(476 ^ 3) ^ [] : [pv64 = pv63]]], [(34 ^ 2) ^ [pv63, 477 ^ [], n0, n0] : [-(leq(n0, pv63)), leq(n0, 477 ^ []), n0 = n0, 477 ^ [] = pv63], [(480 ^ 3) ^ [] : [-(leq(n0, 477 ^ []))]], [(2 ^ 3) ^ [n0] : [-(n0 = n0)]], [(490 ^ 3) ^ [] : [-(477 ^ [] = pv63)]]], [(274 ^ 2) ^ [] : [-(leq(pv5, n998))]], [(276 ^ 2) ^ [] : [-(leq(pv63, n5))]], [(454 ^ 4) ^ [88 ^ [], 87 ^ []] : [leq(88 ^ [], n5), -(a_select3(h_ds1_filter_init, 87 ^ [], 88 ^ []) = init), leq(n0, 87 ^ []), leq(87 ^ [], n2), leq(n0, 88 ^ [])], [(4 ^ 5) ^ [init, a_select3(h_ds1_filter_init, 87 ^ [], 88 ^ [])] : [a_select3(h_ds1_filter_init, 87 ^ [], 88 ^ []) = init, -(init = a_select3(h_ds1_filter_init, 87 ^ [], 88 ^ []))], [(98 ^ 6) ^ [] : [init = a_select3(h_ds1_filter_init, 87 ^ [], 88 ^ [])]]], [(96 ^ 5) ^ [] : [-(leq(n0, 87 ^ []))]], [(92 ^ 5) ^ [] : [-(leq(87 ^ [], n2))]], [(94 ^ 5) ^ [] : [-(leq(n0, 88 ^ []))]]], [(436 ^ 4) ^ [102 ^ [], 101 ^ []] : [leq(101 ^ [], n5), -(init = a_select3(dv_ds1_filter_init, 101 ^ [], 102 ^ [])), leq(n0, 102 ^ []), leq(102 ^ [], n0), leq(n0, 101 ^ [])], [(4 ^ 5) ^ [a_select3(dv_ds1_filter_init, 101 ^ [], 102 ^ []), init] : [init = a_select3(dv_ds1_filter_init, 101 ^ [], 102 ^ []), -(a_select3(dv_ds1_filter_init, 101 ^ [], 102 ^ []) = init)], [(112 ^ 6) ^ [] : [a_select3(dv_ds1_filter_init, 101 ^ [], 102 ^ []) = init]]], [(108 ^ 5) ^ [] : [-(leq(n0, 102 ^ []))]], [(106 ^ 5) ^ [] : [-(leq(102 ^ [], n0))]], [(110 ^ 5) ^ [] : [-(leq(n0, 101 ^ []))]]], [(298 ^ 4) ^ [116 ^ [], 115 ^ []] : [leq(n0, 116 ^ []), -(a_select3(r_ds1_filter_init, 115 ^ [], 116 ^ []) = init), leq(n0, 115 ^ []), leq(116 ^ [], n2), leq(115 ^ [], n2)], [(126 ^ 5) ^ [] : [a_select3(r_ds1_filter_init, 115 ^ [], 116 ^ []) = init]], [(124 ^ 5) ^ [] : [-(leq(n0, 115 ^ []))]], [(120 ^ 5) ^ [] : [-(leq(116 ^ [], n2))]], [(122 ^ 5) ^ [] : [-(leq(115 ^ [], n2))]]], [(356 ^ 4) ^ [130 ^ [], 129 ^ []] : [leq(129 ^ [], n5), -(init = a_select3(id_ds1_filter_init, 129 ^ [], 130 ^ [])), 129 ^ [] = pv63, gt(pv64, 130 ^ []), leq(n0, 130 ^ []), leq(130 ^ [], n5), leq(n0, 129 ^ [])], [(144 ^ 5) ^ [] : [init = a_select3(id_ds1_filter_init, 129 ^ [], 130 ^ [])]], [(4 ^ 5) ^ [129 ^ [], pv63] : [-(129 ^ [] = pv63), pv63 = 129 ^ []], [(142 ^ 6) ^ [] : [-(pv63 = 129 ^ [])]]], [(140 ^ 5) ^ [] : [-(gt(pv64, 130 ^ []))]], [(136 ^ 5) ^ [] : [-(leq(n0, 130 ^ []))]], [(134 ^ 5) ^ [] : [-(leq(130 ^ [], n5))]], [(138 ^ 5) ^ [] : [-(leq(n0, 129 ^ []))]]], [(316 ^ 4) ^ [148 ^ [], 147 ^ []] : [leq(147 ^ [], n5), gt(pv63, 147 ^ []), -(a_select3(id_ds1_filter_init, 147 ^ [], 148 ^ []) = init), leq(n0, 147 ^ []), leq(148 ^ [], n5), leq(n0, 148 ^ [])], [(158 ^ 5) ^ [] : [-(gt(pv63, 147 ^ []))]], [(4 ^ 5) ^ [init, a_select3(id_ds1_filter_init, 147 ^ [], 148 ^ [])] : [a_select3(id_ds1_filter_init, 147 ^ [], 148 ^ []) = init, -(init = a_select3(id_ds1_filter_init, 147 ^ [], 148 ^ []))], [(160 ^ 6) ^ [] : [init = a_select3(id_ds1_filter_init, 147 ^ [], 148 ^ [])]]], [(156 ^ 5) ^ [] : [-(leq(n0, 147 ^ []))]], [(152 ^ 5) ^ [] : [-(leq(148 ^ [], n5))]], [(154 ^ 5) ^ [] : [-(leq(n0, 148 ^ []))]]], [(338 ^ 4) ^ [163 ^ []] : [leq(163 ^ [], pred(pv63)), leq(n0, 163 ^ []), 345 ^ 4 : [(346 ^ 4) ^ [168 ^ []] : [-(init = a_select3(id_ds1_filter_init, 163 ^ [], 168 ^ [])), leq(168 ^ [], n5), leq(n0, 168 ^ [])]]], [(167 ^ 5) ^ [] : [-(leq(n0, 163 ^ []))]], [(4 ^ 7) ^ [a_select3(id_ds1_filter_init, 163 ^ [], 168 ^ []), init] : [init = a_select3(id_ds1_filter_init, 163 ^ [], 168 ^ []), -(a_select3(id_ds1_filter_init, 163 ^ [], 168 ^ []) = init)], [(174 ^ 8) ^ [] : [a_select3(id_ds1_filter_init, 163 ^ [], 168 ^ []) = init]]], [(172 ^ 7) ^ [] : [-(leq(168 ^ [], n5))]], [(170 ^ 7) ^ [] : [-(leq(n0, 168 ^ []))]]], [(382 ^ 4) ^ [178 ^ [], 177 ^ []] : [leq(n0, 177 ^ []), -(a_select3(pminus_ds1_filter_init, 177 ^ [], 178 ^ []) = init), leq(177 ^ [], n5), leq(178 ^ [], n5), leq(n0, 178 ^ [])], [(4 ^ 5) ^ [init, a_select3(pminus_ds1_filter_init, 177 ^ [], 178 ^ [])] : [a_select3(pminus_ds1_filter_init, 177 ^ [], 178 ^ []) = init, -(init = a_select3(pminus_ds1_filter_init, 177 ^ [], 178 ^ []))], [(188 ^ 6) ^ [] : [init = a_select3(pminus_ds1_filter_init, 177 ^ [], 178 ^ [])]]], [(182 ^ 5) ^ [] : [-(leq(177 ^ [], n5))]], [(184 ^ 5) ^ [] : [-(leq(178 ^ [], n5))]], [(186 ^ 5) ^ [] : [-(leq(n0, 178 ^ []))]]], [(400 ^ 4) ^ [192 ^ [], 191 ^ []] : [leq(n0, 191 ^ []), -(a_select3(xhatmin_ds1_filter_init, 191 ^ [], 192 ^ []) = init), leq(191 ^ [], n5), leq(192 ^ [], n0), leq(n0, 192 ^ [])], [(202 ^ 5) ^ [] : [a_select3(xhatmin_ds1_filter_init, 191 ^ [], 192 ^ []) = init]], [(196 ^ 5) ^ [] : [-(leq(191 ^ [], n5))]], [(198 ^ 5) ^ [] : [-(leq(192 ^ [], n0))]], [(200 ^ 5) ^ [] : [-(leq(n0, 192 ^ []))]]], [(34 ^ 4) ^ [205 ^ [], 205 ^ [], n0, n0] : [leq(n0, 205 ^ []), -(leq(n0, 205 ^ [])), n0 = n0, 205 ^ [] = 205 ^ []], [(418 ^ 5) ^ [206 ^ [], 205 ^ []] : [leq(n0, 205 ^ []), -(init = a_select3(q_ds1_filter_init, 205 ^ [], 206 ^ [])), leq(205 ^ [], n5), leq(206 ^ [], n5), leq(n0, 206 ^ [])], [(216 ^ 6) ^ [] : [init = a_select3(q_ds1_filter_init, 205 ^ [], 206 ^ [])]], [(212 ^ 6) ^ [] : [-(leq(205 ^ [], n5))]], [(210 ^ 6) ^ [] : [-(leq(206 ^ [], n5))]], [(214 ^ 6) ^ [] : [-(leq(n0, 206 ^ []))]]], [(2 ^ 5) ^ [n0] : [-(n0 = n0)]], [(2 ^ 5) ^ [205 ^ []] : [-(205 ^ [] = 205 ^ [])]]], [(34 ^ 4) ^ [219 ^ [], 219 ^ [], n0, n0] : [leq(n0, 219 ^ []), -(leq(n0, 219 ^ [])), n0 = n0, 219 ^ [] = 219 ^ []], [(280 ^ 5) ^ [220 ^ [], 219 ^ []] : [leq(n0, 219 ^ []), -(init = a_select3(phi_ds1_filter_init, 219 ^ [], 220 ^ [])), leq(219 ^ [], n5), leq(220 ^ [], n5), leq(n0, 220 ^ [])], [(230 ^ 6) ^ [] : [init = a_select3(phi_ds1_filter_init, 219 ^ [], 220 ^ [])]], [(224 ^ 6) ^ [] : [-(leq(219 ^ [], n5))]], [(226 ^ 6) ^ [] : [-(leq(220 ^ [], n5))]], [(228 ^ 6) ^ [] : [-(leq(n0, 220 ^ []))]]], [(2 ^ 5) ^ [n0] : [-(n0 = n0)]], [(2 ^ 5) ^ [219 ^ []] : [-(219 ^ [] = 219 ^ [])]]], [(278 ^ 2) ^ [] : [-(leq(pv64, n5))]], [(272 ^ 2) ^ [] : [-(leq(n0, pv64))]], [(474 ^ 2) ^ [] : [-(leq(n0, pv5))]]]] 0.33/1.28 0.33/1.28 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p 0.33/1.29 EOF