0.03/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.03/0.12	% Command    : nanocop_casc.sh %s %d
0.11/0.33	% Computer   : n025.cluster.edu
0.11/0.33	% Model      : x86_64 x86_64
0.11/0.33	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.11/0.33	% Memory     : 8042.1875MB
0.11/0.33	% OS         : Linux 3.10.0-693.el7.x86_64
0.11/0.33	% CPULimit   : 180
0.11/0.33	% DateTime   : Thu Aug 29 10:11:45 EDT 2019
0.11/0.33	% CPUTime    : 
0.33/1.41	% SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
0.33/1.42	% SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
0.33/1.42	
0.33/1.42	- the following list represents a non-clausal connection proof
0.33/1.42	  (a tree in which each node is labelled with a nested clause)
0.33/1.42	- I^V is a skolem term f_I(V) for variable list V
0.33/1.42	- (I^K)^V:C is the (nested) clause C with index (I^K)^V, in which
0.33/1.42	  I is the unique index of C, K distinguishes different copies
0.33/1.42	  of C, and V is the list of (instantiated) variables in C
0.33/1.42	
0.33/1.42	[(1153 ^ 0) ^ [] : [a_select2(rho_defuse, n2) = use, use = a_select2(sigma_defuse, n0), use = a_select2(sigma_defuse, n1), use = a_select2(sigma_defuse, n4), a_select2(sigma_defuse, n5) = use, use = a_select2(xinit_defuse, n3), a_select2(xinit_defuse, n4) = use, a_select2(xinit_defuse, n5) = use, use = a_select2(xinit_mean_defuse, n0), use = a_select2(xinit_noise_defuse, n0), use = a_select2(xinit_noise_defuse, n4), a_select2(xinit_noise_defuse, n5) = use, leq(n0, pv5), 1208 ^ 0 : [(1217 ^ 0) ^ [] : [use = a_select3(u_defuse, 1206 ^ [], 1207 ^ []), use = a_select3(z_defuse, 1206 ^ [], 1207 ^ [])]], 1226 ^ 0 : [(1235 ^ 0) ^ [] : [use = a_select3(z_defuse, 1224 ^ [], 1225 ^ []), use = a_select3(u_defuse, 1224 ^ [], 1225 ^ [])]], leq(pv5, minus(n999, n1)), use = a_select2(xinit_noise_defuse, n3), a_select2(xinit_noise_defuse, n2) = use, use = a_select2(xinit_noise_defuse, n1), a_select2(xinit_mean_defuse, n5) = use, a_select2(xinit_mean_defuse, n4) = use, use = a_select2(xinit_mean_defuse, n3), use = a_select2(xinit_mean_defuse, n2), use = a_select2(xinit_mean_defuse, n1), a_select3(u_defuse, n2, n0) = use, use = a_select3(u_defuse, n1, n0), use = a_select3(u_defuse, n0, n0), use = a_select2(sigma_defuse, n3), a_select2(sigma_defuse, n2) = use, use = a_select2(rho_defuse, n1), use = a_select2(rho_defuse, n0)], [(1057 ^ 1) ^ [] : [-(a_select2(rho_defuse, n2) = use)]], [(1059 ^ 1) ^ [] : [-(use = a_select2(sigma_defuse, n0))]], [(1061 ^ 1) ^ [] : [-(use = a_select2(sigma_defuse, n1))]], [(1147 ^ 1) ^ [] : [-(use = a_select2(sigma_defuse, n4))]], [(1145 ^ 1) ^ [] : [-(a_select2(sigma_defuse, n5) = use)]], [(1067 ^ 1) ^ [] : [-(use = a_select2(xinit_defuse, n3))]], [(1069 ^ 1) ^ [] : [-(a_select2(xinit_defuse, n4) = use)]], [(4 ^ 1) ^ [a_select2(xinit_defuse, n5), use] : [-(a_select2(xinit_defuse, n5) = use), use = a_select2(xinit_defuse, n5)], [(1139 ^ 2) ^ [] : [-(use = a_select2(xinit_defuse, n5))]]], [(1071 ^ 1) ^ [] : [-(use = a_select2(xinit_mean_defuse, n0))]], [(1077 ^ 1) ^ [] : [-(use = a_select2(xinit_noise_defuse, n0))]], [(4 ^ 1) ^ [use, a_select2(xinit_noise_defuse, n4)] : [-(use = a_select2(xinit_noise_defuse, n4)), a_select2(xinit_noise_defuse, n4) = use], [(1083 ^ 2) ^ [] : [-(a_select2(xinit_noise_defuse, n4) = use)]]], [(1085 ^ 1) ^ [] : [-(a_select2(xinit_noise_defuse, n5) = use)]], [(1087 ^ 1) ^ [] : [-(leq(n0, pv5))]], [(4 ^ 3) ^ [use, a_select3(u_defuse, 1206 ^ [], 1207 ^ [])] : [-(use = a_select3(u_defuse, 1206 ^ [], 1207 ^ [])), a_select3(u_defuse, 1206 ^ [], 1207 ^ []) = use], [(1091 ^ 4) ^ [1207 ^ [], 1206 ^ []] : [-(a_select3(u_defuse, 1206 ^ [], 1207 ^ []) = use), 1106 ^ 4 : [(1107 ^ 4) ^ [] : []], leq(n0, 1207 ^ []), leq(1206 ^ [], n2), leq(1207 ^ [], pv5), leq(n0, 1206 ^ [])], [(1213 ^ 5) ^ [] : [-(leq(n0, 1207 ^ []))]], [(1211 ^ 5) ^ [] : [-(leq(1206 ^ [], n2))]], [(1209 ^ 5) ^ [] : [-(leq(1207 ^ [], pv5))]], [(1215 ^ 5) ^ [] : [-(leq(n0, 1206 ^ []))]]]], [(4 ^ 3) ^ [use, a_select3(z_defuse, 1206 ^ [], 1207 ^ [])] : [-(use = a_select3(z_defuse, 1206 ^ [], 1207 ^ [])), a_select3(z_defuse, 1206 ^ [], 1207 ^ []) = use], [(1091 ^ 4) ^ [1207 ^ [], 1206 ^ []] : [-(a_select3(z_defuse, 1206 ^ [], 1207 ^ []) = use), 1106 ^ 4 : [(1109 ^ 4) ^ [] : []], leq(n0, 1207 ^ []), leq(1206 ^ [], n2), leq(1207 ^ [], pv5), leq(n0, 1206 ^ [])], [(1213 ^ 5) ^ [] : [-(leq(n0, 1207 ^ []))]], [(1211 ^ 5) ^ [] : [-(leq(1206 ^ [], n2))]], [(1209 ^ 5) ^ [] : [-(leq(1207 ^ [], pv5))]], [(1215 ^ 5) ^ [] : [-(leq(n0, 1206 ^ []))]]]], [(4 ^ 3) ^ [use, a_select3(z_defuse, 1224 ^ [], 1225 ^ [])] : [-(use = a_select3(z_defuse, 1224 ^ [], 1225 ^ [])), a_select3(z_defuse, 1224 ^ [], 1225 ^ []) = use], [(1111 ^ 4) ^ [1225 ^ [], 1224 ^ []] : [-(a_select3(z_defuse, 1224 ^ [], 1225 ^ []) = use), 1126 ^ 4 : [(1129 ^ 4) ^ [] : []], leq(1224 ^ [], n2), leq(1225 ^ [], minus(pv5, n1)), leq(n0, 1225 ^ []), leq(n0, 1224 ^ [])], [(1231 ^ 5) ^ [] : [-(leq(1224 ^ [], n2))]], [(1233 ^ 5) ^ [] : [-(leq(1225 ^ [], minus(pv5, n1)))]], [(1229 ^ 5) ^ [] : [-(leq(n0, 1225 ^ []))]], [(1227 ^ 5) ^ [] : [-(leq(n0, 1224 ^ []))]]]], [(1111 ^ 3) ^ [1225 ^ [], 1224 ^ []] : [-(use = a_select3(u_defuse, 1224 ^ [], 1225 ^ [])), 1126 ^ 3 : [(1127 ^ 3) ^ [] : []], leq(1224 ^ [], n2), leq(1225 ^ [], minus(pv5, n1)), leq(n0, 1225 ^ []), leq(n0, 1224 ^ [])], [(1231 ^ 4) ^ [] : [-(leq(1224 ^ [], n2))]], [(1233 ^ 4) ^ [] : [-(leq(1225 ^ [], minus(pv5, n1)))]], [(1229 ^ 4) ^ [] : [-(leq(n0, 1225 ^ []))]], [(1227 ^ 4) ^ [] : [-(leq(n0, 1224 ^ []))]]], [(1089 ^ 1) ^ [] : [-(leq(pv5, minus(n999, n1)))]], [(4 ^ 1) ^ [use, a_select2(xinit_noise_defuse, n3)] : [-(use = a_select2(xinit_noise_defuse, n3)), a_select2(xinit_noise_defuse, n3) = use], [(1131 ^ 2) ^ [] : [-(a_select2(xinit_noise_defuse, n3) = use)]]], [(1081 ^ 1) ^ [] : [-(a_select2(xinit_noise_defuse, n2) = use)]], [(1079 ^ 1) ^ [] : [-(use = a_select2(xinit_noise_defuse, n1))]], [(1133 ^ 1) ^ [] : [-(a_select2(xinit_mean_defuse, n5) = use)]], [(4 ^ 1) ^ [a_select2(xinit_mean_defuse, n4), use] : [-(a_select2(xinit_mean_defuse, n4) = use), use = a_select2(xinit_mean_defuse, n4)], [(1075 ^ 2) ^ [] : [-(use = a_select2(xinit_mean_defuse, n4))]]], [(1135 ^ 1) ^ [] : [-(use = a_select2(xinit_mean_defuse, n3))]], [(4 ^ 1) ^ [use, a_select2(xinit_mean_defuse, n2)] : [-(use = a_select2(xinit_mean_defuse, n2)), a_select2(xinit_mean_defuse, n2) = use], [(1137 ^ 2) ^ [] : [-(a_select2(xinit_mean_defuse, n2) = use)]]], [(1073 ^ 1) ^ [] : [-(use = a_select2(xinit_mean_defuse, n1))]], [(1091 ^ 1) ^ [n0, n2] : [-(a_select3(u_defuse, n2, n0) = use), 1106 ^ 1 : [(1107 ^ 1) ^ [] : []], leq(n0, n0), leq(n2, n2), leq(n0, pv5), leq(n0, n2)], [(681 ^ 2) ^ [n0] : [-(leq(n0, n0))]], [(681 ^ 2) ^ [n2] : [-(leq(n2, n2))]], [_187712 ^ _187713 : [-(leq(n0, pv5))]], [(673 ^ 2) ^ [n2, n0] : [-(leq(n0, n2)), gt(n2, n0)], [(907 ^ 3) ^ [] : [-(gt(n2, n0))]]]], [(1143 ^ 1) ^ [] : [-(use = a_select3(u_defuse, n1, n0))]], [(4 ^ 1) ^ [use, a_select3(u_defuse, n0, n0)] : [-(use = a_select3(u_defuse, n0, n0)), a_select3(u_defuse, n0, n0) = use], [(1065 ^ 2) ^ [] : [-(a_select3(u_defuse, n0, n0) = use)]]], [(1063 ^ 1) ^ [] : [-(use = a_select2(sigma_defuse, n3))]], [(4 ^ 1) ^ [a_select2(sigma_defuse, n2), use] : [-(a_select2(sigma_defuse, n2) = use), use = a_select2(sigma_defuse, n2)], [(1149 ^ 2) ^ [] : [-(use = a_select2(sigma_defuse, n2))]]], [(1151 ^ 1) ^ [] : [-(use = a_select2(rho_defuse, n1))]], [(4 ^ 1) ^ [use, a_select2(rho_defuse, n0)] : [-(use = a_select2(rho_defuse, n0)), a_select2(rho_defuse, n0) = use], [(1055 ^ 2) ^ [] : [-(a_select2(rho_defuse, n0) = use)]]]]
0.33/1.43	
0.33/1.43	% SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
0.33/1.43	EOF