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   : n179.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 04:47:11 CDT 2018
0.02/0.23	% CPUTime    : 
44.16/44.01	% SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
44.16/44.01	% SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
44.16/44.01	
44.16/44.01	- the following list represents a non-clausal connection proof
44.16/44.01	  (a tree in which each node is labelled with a nested clause)
44.16/44.01	- I^V is a skolem term f_I(V) for variable list V
44.16/44.01	- (I^K)^V:C is the (nested) clause C with index (I^K)^V, in which
44.16/44.01	  I is the unique index of C, K distinguishes different copies
44.16/44.01	  of C, and V is the list of (instantiated) variables in C
44.16/44.02	
44.16/44.02	[(223 ^ 0) ^ [] : [-(int_leq(218 ^ [], n))], [(167 ^ 1) ^ [219 ^ [], 218 ^ []] : [int_leq(218 ^ [], n), int_leq(int_one, 218 ^ []), int_leq(int_one, 219 ^ []), int_leq(219 ^ [], n), 182 ^ 1 : [(201 ^ 1) ^ [107 ^ [218 ^ [], 219 ^ []]] : [plus(219 ^ [], 107 ^ [218 ^ [], 219 ^ []]) = 218 ^ [], int_less(int_zero, 107 ^ [218 ^ [], 219 ^ []]), 208 ^ 1 : [(209 ^ 1) ^ [219 ^ []] : [-(real_zero = a(plus(219 ^ [], 107 ^ [218 ^ [], 219 ^ []]), 219 ^ [])), int_leq(int_one, 219 ^ []), int_leq(219 ^ [], 219 ^ [])]]], (183 ^ 1) ^ [_26983] : [int_leq(int_zero, _26983), 219 ^ [] = plus(218 ^ [], _26983), 190 ^ 1 : [(191 ^ 1) ^ [_27017] : [-(lu(_27017, plus(_27017, _26983)) = a(_27017, plus(_27017, _26983))), int_leq(int_one, _27017), int_leq(_27017, 218 ^ [])]]]]], [(133 ^ 2) ^ [218 ^ []] : [-(int_leq(int_one, 218 ^ [])), int_less(int_zero, 218 ^ [])], [(139 ^ 3) ^ [218 ^ [], 219 ^ [], int_zero] : [-(int_less(int_zero, 218 ^ [])), int_less(219 ^ [], 218 ^ []), int_less(int_zero, 219 ^ [])], [(221 ^ 4) ^ [] : [-(int_less(219 ^ [], 218 ^ []))]], [(127 ^ 4) ^ [219 ^ []] : [-(int_less(int_zero, 219 ^ [])), int_leq(int_one, 219 ^ [])], [(225 ^ 5) ^ [] : [-(int_leq(int_one, 219 ^ []))]]]]], [(225 ^ 2) ^ [] : [-(int_leq(int_one, 219 ^ []))]], [(159 ^ 2) ^ [n, 219 ^ []] : [-(int_leq(219 ^ [], n)), 160 ^ 2 : [(163 ^ 2) ^ [] : [219 ^ [] = n], (161 ^ 2) ^ [] : [int_less(219 ^ [], n)]]], [(20 ^ 5) ^ [n, 218 ^ [], 219 ^ [], 219 ^ []] : [-(int_less(219 ^ [], n)), int_less(219 ^ [], 218 ^ []), 219 ^ [] = 219 ^ [], 218 ^ [] = n], [(221 ^ 6) ^ [] : [-(int_less(219 ^ [], 218 ^ []))]], [(2 ^ 6) ^ [219 ^ []] : [-(219 ^ [] = 219 ^ [])]], [(149 ^ 6) ^ [n, 218 ^ []] : [-(218 ^ [] = n), int_leq(218 ^ [], n), -(int_less(218 ^ [], n))], [_28842 ^ _28843 : [-(int_leq(218 ^ [], n))]], [(139 ^ 7) ^ [n, 218 ^ [], 219 ^ []] : [int_less(218 ^ [], n), -(int_less(219 ^ [], n)), int_less(219 ^ [], 218 ^ [])], [_29001 ^ _29002 : [int_less(219 ^ [], n)]], [_29019 ^ _29020 : [-(int_less(219 ^ [], 218 ^ []))]]]]]], [(4 ^ 4) ^ [plus(219 ^ [], 107 ^ [218 ^ [], 219 ^ []]), 218 ^ []] : [-(plus(219 ^ [], 107 ^ [218 ^ [], 219 ^ []]) = 218 ^ []), 218 ^ [] = plus(219 ^ [], 107 ^ [218 ^ [], 219 ^ []])], [(104 ^ 5) ^ [218 ^ [], 219 ^ []] : [-(218 ^ [] = plus(219 ^ [], 107 ^ [218 ^ [], 219 ^ []])), 108 ^ 5 : [(109 ^ 5) ^ [] : []], int_less(219 ^ [], 218 ^ [])], [(221 ^ 6) ^ [] : [-(int_less(219 ^ [], 218 ^ []))]]]], [(104 ^ 4) ^ [218 ^ [], 219 ^ []] : [-(int_less(int_zero, 107 ^ [218 ^ [], 219 ^ []])), 108 ^ 4 : [(111 ^ 4) ^ [] : []], int_less(219 ^ [], 218 ^ [])], [(221 ^ 5) ^ [] : [-(int_less(219 ^ [], 218 ^ []))]]], [(4 ^ 6) ^ [a(plus(219 ^ [], 107 ^ [218 ^ [], 219 ^ []]), 219 ^ []), real_zero] : [real_zero = a(plus(219 ^ [], 107 ^ [218 ^ [], 219 ^ []]), 219 ^ []), -(a(plus(219 ^ [], 107 ^ [218 ^ [], 219 ^ []]), 219 ^ []) = real_zero)], [(10 ^ 7) ^ [real_zero, a(plus(219 ^ [], 107 ^ [218 ^ [], 219 ^ []]), 219 ^ []), a(218 ^ [], 219 ^ [])] : [a(plus(219 ^ [], 107 ^ [218 ^ [], 219 ^ []]), 219 ^ []) = real_zero, -(a(218 ^ [], 219 ^ []) = real_zero), a(218 ^ [], 219 ^ []) = a(plus(219 ^ [], 107 ^ [218 ^ [], 219 ^ []]), 219 ^ [])], [(227 ^ 8) ^ [] : [a(218 ^ [], 219 ^ []) = real_zero]], [(68 ^ 8) ^ [219 ^ [], 219 ^ [], plus(219 ^ [], 107 ^ [218 ^ [], 219 ^ []]), 218 ^ []] : [-(a(218 ^ [], 219 ^ []) = a(plus(219 ^ [], 107 ^ [218 ^ [], 219 ^ []]), 219 ^ [])), 218 ^ [] = plus(219 ^ [], 107 ^ [218 ^ [], 219 ^ []]), 219 ^ [] = 219 ^ []], [(104 ^ 9) ^ [218 ^ [], 219 ^ []] : [-(218 ^ [] = plus(219 ^ [], 107 ^ [218 ^ [], 219 ^ []])), 108 ^ 9 : [(109 ^ 9) ^ [] : []], int_less(219 ^ [], 218 ^ [])], [(221 ^ 10) ^ [] : [-(int_less(219 ^ [], 218 ^ []))]]], [(2 ^ 9) ^ [219 ^ []] : [-(219 ^ [] = 219 ^ [])]]]]], [_31117 ^ _31118 : [-(int_leq(int_one, 219 ^ []))]], [(159 ^ 6) ^ [219 ^ [], 219 ^ []] : [-(int_leq(219 ^ [], 219 ^ [])), 160 ^ 6 : [(163 ^ 6) ^ [] : [219 ^ [] = 219 ^ []], (161 ^ 6) ^ [] : [int_less(219 ^ [], 219 ^ [])]]], [(2 ^ 9) ^ [219 ^ []] : [-(219 ^ [] = 219 ^ [])]]]]]
44.16/44.02	
44.16/44.02	% SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
44.16/44.02	EOF