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
0.12/0.33	% Computer   : n005.cluster.edu
0.12/0.33	% Model      : x86_64 x86_64
0.12/0.33	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.33	% Memory     : 8042.1875MB
0.12/0.33	% OS         : Linux 3.10.0-693.el7.x86_64
0.12/0.33	% CPULimit   : 180
0.12/0.33	% DateTime   : Thu Aug 29 12:53:18 EDT 2019
0.12/0.33	% CPUTime    : 
36.38/35.59	% SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
36.38/35.60	% SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
36.38/35.60	
36.38/35.60	- the following list represents a non-clausal connection proof
36.38/35.60	  (a tree in which each node is labelled with a nested clause)
36.38/35.60	- I^V is a skolem term f_I(V) for variable list V
36.38/35.60	- (I^K)^V:C is the (nested) clause C with index (I^K)^V, in which
36.38/35.60	  I is the unique index of C, K distinguishes different copies
36.38/35.60	  of C, and V is the list of (instantiated) variables in C
36.38/35.60	
36.38/35.60	[(231 ^ 0) ^ [] : [-(int_leq(int_one, 228 ^ []))], [(80 ^ 1) ^ [229 ^ [], 228 ^ []] : [int_leq(int_one, 228 ^ []), int_leq(229 ^ [], n), int_leq(int_one, 229 ^ []), int_leq(228 ^ [], n), 95 ^ 1 : [(124 ^ 1) ^ [_27927] : [228 ^ [] = plus(229 ^ [], _27927), int_less(int_zero, _27927), 131 ^ 1 : [(132 ^ 1) ^ [_27961] : [-(a(plus(_27961, _27927), _27961) = lu(plus(_27961, _27927), _27961)), int_leq(_27961, 229 ^ []), int_leq(int_one, _27961)]]], (114 ^ 1) ^ [_28003] : [-(real_one = a(_28003, _28003)), int_leq(int_one, _28003), int_leq(_28003, 229 ^ [])], (96 ^ 1) ^ [145 ^ [229 ^ [], 228 ^ []]] : [plus(228 ^ [], 145 ^ [229 ^ [], 228 ^ []]) = 229 ^ [], int_less(int_zero, 145 ^ [229 ^ [], 228 ^ []]), 103 ^ 1 : [(104 ^ 1) ^ [228 ^ []] : [-(real_zero = a(228 ^ [], plus(228 ^ [], 145 ^ [229 ^ [], 228 ^ []]))), int_leq(int_one, 228 ^ []), int_leq(228 ^ [], 228 ^ [])]]]]], [(235 ^ 2) ^ [] : [-(int_leq(229 ^ [], n))]], [(173 ^ 2) ^ [229 ^ []] : [-(int_leq(int_one, 229 ^ [])), int_less(int_zero, 229 ^ [])], [(205 ^ 3) ^ [229 ^ [], 228 ^ [], int_zero] : [-(int_less(int_zero, 229 ^ [])), int_less(228 ^ [], 229 ^ []), int_less(int_zero, 228 ^ [])], [(233 ^ 4) ^ [] : [-(int_less(228 ^ [], 229 ^ []))]], [(167 ^ 4) ^ [228 ^ []] : [-(int_less(int_zero, 228 ^ [])), int_leq(int_one, 228 ^ [])], [_29026 ^ _29027 : [-(int_leq(int_one, 228 ^ []))]]]]], [(179 ^ 2) ^ [n, 228 ^ []] : [-(int_leq(228 ^ [], n)), 180 ^ 2 : [(183 ^ 2) ^ [] : [228 ^ [] = n], (181 ^ 2) ^ [] : [int_less(228 ^ [], n)]]], [(20 ^ 5) ^ [n, 229 ^ [], 228 ^ [], 228 ^ []] : [-(int_less(228 ^ [], n)), int_less(228 ^ [], 229 ^ []), 228 ^ [] = 228 ^ [], 229 ^ [] = n], [(233 ^ 6) ^ [] : [-(int_less(228 ^ [], 229 ^ []))]], [(2 ^ 6) ^ [228 ^ []] : [-(228 ^ [] = 228 ^ [])]], [(187 ^ 6) ^ [n, 229 ^ []] : [-(229 ^ [] = n), int_leq(229 ^ [], n), -(int_less(229 ^ [], n))], [_29922 ^ _29923 : [-(int_leq(229 ^ [], n))]], [(205 ^ 7) ^ [n, 229 ^ [], 228 ^ []] : [int_less(229 ^ [], n), -(int_less(228 ^ [], n)), int_less(228 ^ [], 229 ^ [])], [_30081 ^ _30082 : [int_less(228 ^ [], n)]], [_30099 ^ _30100 : [-(int_less(228 ^ [], 229 ^ []))]]]]]], [(142 ^ 4) ^ [229 ^ [], 228 ^ []] : [-(plus(228 ^ [], 145 ^ [229 ^ [], 228 ^ []]) = 229 ^ []), 146 ^ 4 : [(149 ^ 4) ^ [] : []], int_less(228 ^ [], 229 ^ [])], [(233 ^ 5) ^ [] : [-(int_less(228 ^ [], 229 ^ []))]]], [(142 ^ 4) ^ [229 ^ [], 228 ^ []] : [-(int_less(int_zero, 145 ^ [229 ^ [], 228 ^ []])), 146 ^ 4 : [(147 ^ 4) ^ [] : []], int_less(228 ^ [], 229 ^ [])], [(233 ^ 5) ^ [] : [-(int_less(228 ^ [], 229 ^ []))]]], [(10 ^ 6) ^ [a(228 ^ [], 229 ^ []), a(228 ^ [], plus(228 ^ [], 145 ^ [229 ^ [], 228 ^ []])), real_zero] : [real_zero = a(228 ^ [], plus(228 ^ [], 145 ^ [229 ^ [], 228 ^ []])), -(real_zero = a(228 ^ [], 229 ^ [])), a(228 ^ [], plus(228 ^ [], 145 ^ [229 ^ [], 228 ^ []])) = a(228 ^ [], 229 ^ [])], [(34 ^ 7) ^ [real_zero, real_zero, a(228 ^ [], 229 ^ []), real_zero] : [real_zero = a(228 ^ [], 229 ^ []), -(int_leq(a(228 ^ [], 229 ^ []), real_zero)), int_leq(real_zero, real_zero), real_zero = real_zero], [(187 ^ 8) ^ [real_zero, a(228 ^ [], 229 ^ [])] : [int_leq(a(228 ^ [], 229 ^ []), real_zero), -(int_less(a(228 ^ [], 229 ^ []), real_zero)), -(a(228 ^ [], 229 ^ []) = real_zero)], [(199 ^ 9) ^ [real_zero, a(228 ^ [], 229 ^ [])] : [int_less(a(228 ^ [], 229 ^ []), real_zero), real_zero = a(228 ^ [], 229 ^ [])], [_31635 ^ _31636 : [-(real_zero = a(228 ^ [], 229 ^ []))]]], [(237 ^ 9) ^ [] : [a(228 ^ [], 229 ^ []) = real_zero]]], [(161 ^ 8) ^ [real_zero, real_zero] : [-(int_leq(real_zero, real_zero)), -(int_less(real_zero, real_zero))], [(179 ^ 9) ^ [real_zero, real_zero] : [int_less(real_zero, real_zero), 180 ^ 9 : [(181 ^ 9) ^ [] : []], -(int_leq(real_zero, real_zero))], [_32099 ^ _32100 : [int_leq(real_zero, real_zero)]]]], [(2 ^ 8) ^ [real_zero] : [-(real_zero = real_zero)]]], [(68 ^ 7) ^ [229 ^ [], plus(228 ^ [], 145 ^ [229 ^ [], 228 ^ []]), 228 ^ [], 228 ^ []] : [-(a(228 ^ [], plus(228 ^ [], 145 ^ [229 ^ [], 228 ^ []])) = a(228 ^ [], 229 ^ [])), 228 ^ [] = 228 ^ [], plus(228 ^ [], 145 ^ [229 ^ [], 228 ^ []]) = 229 ^ []], [(2 ^ 8) ^ [228 ^ []] : [-(228 ^ [] = 228 ^ [])]], [_32530 ^ _32531 : [-(plus(228 ^ [], 145 ^ [229 ^ [], 228 ^ []]) = 229 ^ [])]]]], [_32555 ^ _32556 : [-(int_leq(int_one, 228 ^ []))]], [(161 ^ 6) ^ [228 ^ [], 228 ^ []] : [-(int_leq(228 ^ [], 228 ^ [])), -(int_less(228 ^ [], 228 ^ []))], [(219 ^ 7) ^ [int_zero, int_zero, 228 ^ [], 228 ^ []] : [int_less(228 ^ [], 228 ^ []), -(int_leq(plus(228 ^ [], int_zero), plus(228 ^ [], int_zero))), int_leq(int_zero, int_zero)], [(34 ^ 8) ^ [228 ^ [], plus(228 ^ [], int_zero), 228 ^ [], plus(228 ^ [], int_zero)] : [int_leq(plus(228 ^ [], int_zero), plus(228 ^ [], int_zero)), -(int_leq(228 ^ [], 228 ^ [])), plus(228 ^ [], int_zero) = 228 ^ [], plus(228 ^ [], int_zero) = 228 ^ []], [_33023 ^ _33024 : [int_leq(228 ^ [], 228 ^ [])]], [(78 ^ 9) ^ [228 ^ []] : [-(plus(228 ^ [], int_zero) = 228 ^ [])]], [(78 ^ 9) ^ [228 ^ []] : [-(plus(228 ^ [], int_zero) = 228 ^ [])]]], [(161 ^ 8) ^ [int_zero, int_zero] : [-(int_leq(int_zero, int_zero)), -(int_less(int_zero, int_zero))], [(179 ^ 9) ^ [int_zero, int_zero] : [int_less(int_zero, int_zero), 180 ^ 9 : [(181 ^ 9) ^ [] : []], -(int_leq(int_zero, int_zero))], [_33661 ^ _33662 : [int_leq(int_zero, int_zero)]]]]]]]]
36.38/35.61	
36.38/35.61	% SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
36.38/35.61	EOF