0.00/0.04	% 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   : n172.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
0.06/0.23	% CPULimit   : 300
0.06/0.23	% DateTime   : Sat Jul 14 05:08:10 CDT 2018
0.06/0.23	% CPUTime    : 
63.07/62.31	% SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
63.07/62.32	% SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
63.07/62.32	
63.07/62.32	- the following list represents a non-clausal connection proof
63.07/62.32	  (a tree in which each node is labelled with a nested clause)
63.07/62.32	- I^V is a skolem term f_I(V) for variable list V
63.07/62.32	- (I^K)^V:C is the (nested) clause C with index (I^K)^V, in which
63.07/62.32	  I is the unique index of C, K distinguishes different copies
63.07/62.32	  of C, and V is the list of (instantiated) variables in C
63.07/62.32	
63.07/62.32	[(225 ^ 0) ^ [] : [-(int_leq(int_one, 219 ^ []))], [(134 ^ 1) ^ [219 ^ [], 218 ^ []] : [int_leq(int_one, 219 ^ []), int_leq(218 ^ [], n), int_leq(219 ^ [], n), int_leq(int_one, 218 ^ []), 149 ^ 1 : [(178 ^ 1) ^ [201 ^ [218 ^ [], 219 ^ []]] : [218 ^ [] = plus(219 ^ [], 201 ^ [218 ^ [], 219 ^ []]), int_less(int_zero, 201 ^ [218 ^ [], 219 ^ []]), 185 ^ 1 : [(186 ^ 1) ^ [219 ^ []] : [-(real_zero = a(plus(219 ^ [], 201 ^ [218 ^ [], 219 ^ []]), 219 ^ [])), int_leq(219 ^ [], 219 ^ []), int_leq(int_one, 219 ^ [])]]], (160 ^ 1) ^ [_26707] : [219 ^ [] = plus(218 ^ [], _26707), int_less(int_zero, _26707), 167 ^ 1 : [(168 ^ 1) ^ [_26741] : [-(a(_26741, plus(_26741, _26707)) = real_zero), int_leq(int_one, _26741), int_leq(_26741, 218 ^ [])]]], (150 ^ 1) ^ [_26777] : [-(a(_26777, _26777) = real_one), int_leq(_26777, 219 ^ []), int_leq(int_one, _26777)]]], [(221 ^ 2) ^ [] : [-(int_leq(218 ^ [], n))]], [(96 ^ 2) ^ [n, 219 ^ []] : [-(int_leq(219 ^ [], n)), 97 ^ 2 : [(100 ^ 2) ^ [] : [219 ^ [] = n], (98 ^ 2) ^ [] : [int_less(219 ^ [], n)]]], [(86 ^ 5) ^ [n, 218 ^ [], 219 ^ []] : [-(int_less(219 ^ [], n)), int_less(219 ^ [], 218 ^ []), int_less(218 ^ [], n)], [(223 ^ 6) ^ [] : [-(int_less(219 ^ [], 218 ^ []))]], [(104 ^ 6) ^ [n, 218 ^ []] : [-(int_less(218 ^ [], n)), int_leq(218 ^ [], n), -(218 ^ [] = n)], [_27791 ^ _27792 : [-(int_leq(218 ^ [], n))]], [(34 ^ 7) ^ [n, 218 ^ [], 219 ^ [], 219 ^ []] : [218 ^ [] = n, -(int_leq(219 ^ [], n)), int_leq(219 ^ [], 218 ^ []), 219 ^ [] = 219 ^ []], [_28000 ^ _28001 : [int_leq(219 ^ [], n)]], [(96 ^ 8) ^ [218 ^ [], 219 ^ []] : [-(int_leq(219 ^ [], 218 ^ [])), 97 ^ 8 : [(100 ^ 8) ^ [] : [219 ^ [] = 218 ^ []], (98 ^ 8) ^ [] : [int_less(219 ^ [], 218 ^ [])]]], [(223 ^ 11) ^ [] : [-(int_less(219 ^ [], 218 ^ []))]]], [(2 ^ 8) ^ [219 ^ []] : [-(219 ^ [] = 219 ^ [])]]]]]], [(96 ^ 2) ^ [218 ^ [], int_one] : [-(int_leq(int_one, 218 ^ [])), 97 ^ 2 : [(100 ^ 2) ^ [] : [int_one = 218 ^ []], (98 ^ 2) ^ [] : [int_less(int_one, 218 ^ [])]]], [(10 ^ 5) ^ [218 ^ [], 219 ^ [], int_one] : [-(int_one = 218 ^ []), int_one = 219 ^ [], 219 ^ [] = 218 ^ []], [(104 ^ 6) ^ [219 ^ [], int_one] : [-(int_one = 219 ^ []), int_leq(int_one, 219 ^ []), -(int_less(int_one, 219 ^ []))], [_28981 ^ _28982 : [-(int_leq(int_one, 219 ^ []))]], [(86 ^ 7) ^ [218 ^ [], 219 ^ [], int_one] : [int_less(int_one, 219 ^ []), -(int_less(int_one, 218 ^ [])), int_less(219 ^ [], 218 ^ [])], [(98 ^ 8) ^ [] : [int_less(int_one, 218 ^ [])]], [(223 ^ 8) ^ [] : [-(int_less(219 ^ [], 218 ^ []))]]]], [(104 ^ 6) ^ [218 ^ [], 219 ^ []] : [-(219 ^ [] = 218 ^ []), int_leq(219 ^ [], 218 ^ []), -(int_less(219 ^ [], 218 ^ []))], [(96 ^ 7) ^ [218 ^ [], 219 ^ []] : [-(int_leq(219 ^ [], 218 ^ [])), 97 ^ 7 : [(100 ^ 7) ^ [] : [219 ^ [] = 218 ^ []], (98 ^ 7) ^ [] : [int_less(219 ^ [], 218 ^ [])]]], [(223 ^ 10) ^ [] : [-(int_less(219 ^ [], 218 ^ []))]]], [(20 ^ 7) ^ [218 ^ [], 218 ^ [], int_one, 219 ^ []] : [int_less(219 ^ [], 218 ^ []), -(int_less(int_one, 218 ^ [])), 219 ^ [] = int_one, 218 ^ [] = 218 ^ []], [(98 ^ 8) ^ [] : [int_less(int_one, 218 ^ [])]], [(4 ^ 8) ^ [219 ^ [], int_one] : [-(219 ^ [] = int_one), int_one = 219 ^ []], [_30544 ^ _30545 : [-(int_one = 219 ^ [])]]], [(2 ^ 8) ^ [218 ^ []] : [-(218 ^ [] = 218 ^ [])]]]]]], [(104 ^ 4) ^ [plus(219 ^ [], 201 ^ [218 ^ [], 219 ^ []]), 218 ^ []] : [-(218 ^ [] = plus(219 ^ [], 201 ^ [218 ^ [], 219 ^ []])), int_leq(218 ^ [], plus(219 ^ [], 201 ^ [218 ^ [], 219 ^ []])), -(int_less(218 ^ [], plus(219 ^ [], 201 ^ [218 ^ [], 219 ^ []])))], [(116 ^ 5) ^ [218 ^ [], plus(219 ^ [], 201 ^ [218 ^ [], 219 ^ []])] : [-(int_leq(218 ^ [], plus(219 ^ [], 201 ^ [218 ^ [], 219 ^ []]))), -(int_less(plus(219 ^ [], 201 ^ [218 ^ [], 219 ^ []]), 218 ^ []))], [(68 ^ 6) ^ [218 ^ [], plus(219 ^ [], 201 ^ [218 ^ [], 219 ^ []])] : [int_less(plus(219 ^ [], 201 ^ [218 ^ [], 219 ^ []]), 218 ^ []), plus(219 ^ [], 201 ^ [218 ^ [], 219 ^ []]) = 218 ^ []], [(198 ^ 7) ^ [218 ^ [], 219 ^ []] : [-(plus(219 ^ [], 201 ^ [218 ^ [], 219 ^ []]) = 218 ^ []), 202 ^ 7 : [(205 ^ 7) ^ [] : []], int_less(219 ^ [], 218 ^ [])], [(223 ^ 8) ^ [] : [-(int_less(219 ^ [], 218 ^ []))]]]]], [(86 ^ 5) ^ [218 ^ [], plus(219 ^ [], 201 ^ [218 ^ [], 219 ^ []]), 218 ^ []] : [int_less(218 ^ [], plus(219 ^ [], 201 ^ [218 ^ [], 219 ^ []])), -(int_less(218 ^ [], 218 ^ [])), int_less(plus(219 ^ [], 201 ^ [218 ^ [], 219 ^ []]), 218 ^ [])], [(68 ^ 6) ^ [218 ^ [], 218 ^ []] : [int_less(218 ^ [], 218 ^ []), 218 ^ [] = 218 ^ []], [(2 ^ 7) ^ [218 ^ []] : [-(218 ^ [] = 218 ^ [])]]], [(104 ^ 6) ^ [218 ^ [], plus(219 ^ [], 201 ^ [218 ^ [], 219 ^ []])] : [-(int_less(plus(219 ^ [], 201 ^ [218 ^ [], 219 ^ []]), 218 ^ [])), int_leq(plus(219 ^ [], 201 ^ [218 ^ [], 219 ^ []]), 218 ^ []), -(plus(219 ^ [], 201 ^ [218 ^ [], 219 ^ []]) = 218 ^ [])], [(96 ^ 7) ^ [218 ^ [], plus(219 ^ [], 201 ^ [218 ^ [], 219 ^ []])] : [-(int_leq(plus(219 ^ [], 201 ^ [218 ^ [], 219 ^ []]), 218 ^ [])), 97 ^ 7 : [(100 ^ 7) ^ [] : [plus(219 ^ [], 201 ^ [218 ^ [], 219 ^ []]) = 218 ^ []], (98 ^ 7) ^ [] : [int_less(plus(219 ^ [], 201 ^ [218 ^ [], 219 ^ []]), 218 ^ [])]]], [(198 ^ 10) ^ [218 ^ [], 219 ^ []] : [-(plus(219 ^ [], 201 ^ [218 ^ [], 219 ^ []]) = 218 ^ []), 202 ^ 10 : [(205 ^ 10) ^ [] : []], int_less(219 ^ [], 218 ^ [])], [(223 ^ 11) ^ [] : [-(int_less(219 ^ [], 218 ^ []))]]]], [(10 ^ 7) ^ [218 ^ [], 218 ^ [], plus(219 ^ [], 201 ^ [218 ^ [], 219 ^ []])] : [plus(219 ^ [], 201 ^ [218 ^ [], 219 ^ []]) = 218 ^ [], -(plus(219 ^ [], 201 ^ [218 ^ [], 219 ^ []]) = 218 ^ []), 218 ^ [] = 218 ^ []], [(4 ^ 8) ^ [218 ^ [], plus(219 ^ [], 201 ^ [218 ^ [], 219 ^ []])] : [plus(219 ^ [], 201 ^ [218 ^ [], 219 ^ []]) = 218 ^ [], -(218 ^ [] = plus(219 ^ [], 201 ^ [218 ^ [], 219 ^ []]))], [_32981 ^ _32982 : [218 ^ [] = plus(219 ^ [], 201 ^ [218 ^ [], 219 ^ []])]]], [(2 ^ 8) ^ [218 ^ []] : [-(218 ^ [] = 218 ^ [])]]]]]], [(198 ^ 4) ^ [218 ^ [], 219 ^ []] : [-(int_less(int_zero, 201 ^ [218 ^ [], 219 ^ []])), 202 ^ 4 : [(203 ^ 4) ^ [] : []], int_less(219 ^ [], 218 ^ [])], [(223 ^ 5) ^ [] : [-(int_less(219 ^ [], 218 ^ []))]]], [(10 ^ 6) ^ [a(218 ^ [], 219 ^ []), a(plus(219 ^ [], 201 ^ [218 ^ [], 219 ^ []]), 219 ^ []), real_zero] : [real_zero = a(plus(219 ^ [], 201 ^ [218 ^ [], 219 ^ []]), 219 ^ []), -(real_zero = a(218 ^ [], 219 ^ [])), a(plus(219 ^ [], 201 ^ [218 ^ [], 219 ^ []]), 219 ^ []) = a(218 ^ [], 219 ^ [])], [(227 ^ 7) ^ [] : [real_zero = a(218 ^ [], 219 ^ [])]], [(4 ^ 7) ^ [a(plus(219 ^ [], 201 ^ [218 ^ [], 219 ^ []]), 219 ^ []), a(218 ^ [], 219 ^ [])] : [-(a(plus(219 ^ [], 201 ^ [218 ^ [], 219 ^ []]), 219 ^ []) = a(218 ^ [], 219 ^ [])), a(218 ^ [], 219 ^ []) = a(plus(219 ^ [], 201 ^ [218 ^ [], 219 ^ []]), 219 ^ [])], [(58 ^ 8) ^ [219 ^ [], 219 ^ [], plus(219 ^ [], 201 ^ [218 ^ [], 219 ^ []]), 218 ^ []] : [-(a(218 ^ [], 219 ^ []) = a(plus(219 ^ [], 201 ^ [218 ^ [], 219 ^ []]), 219 ^ [])), 218 ^ [] = plus(219 ^ [], 201 ^ [218 ^ [], 219 ^ []]), 219 ^ [] = 219 ^ []], [(4 ^ 9) ^ [218 ^ [], plus(219 ^ [], 201 ^ [218 ^ [], 219 ^ []])] : [-(218 ^ [] = plus(219 ^ [], 201 ^ [218 ^ [], 219 ^ []])), plus(219 ^ [], 201 ^ [218 ^ [], 219 ^ []]) = 218 ^ []], [(198 ^ 10) ^ [218 ^ [], 219 ^ []] : [-(plus(219 ^ [], 201 ^ [218 ^ [], 219 ^ []]) = 218 ^ []), 202 ^ 10 : [(205 ^ 10) ^ [] : []], int_less(219 ^ [], 218 ^ [])], [(223 ^ 11) ^ [] : [-(int_less(219 ^ [], 218 ^ []))]]]], [(2 ^ 9) ^ [219 ^ []] : [-(219 ^ [] = 219 ^ [])]]]]], [(96 ^ 6) ^ [219 ^ [], 219 ^ []] : [-(int_leq(219 ^ [], 219 ^ [])), 97 ^ 6 : [(100 ^ 6) ^ [] : [219 ^ [] = 219 ^ []], (98 ^ 6) ^ [] : [int_less(219 ^ [], 219 ^ [])]]], [(2 ^ 9) ^ [219 ^ []] : [-(219 ^ [] = 219 ^ [])]]], [_35188 ^ _35189 : [-(int_leq(int_one, 219 ^ []))]]]]
63.07/62.32	
63.07/62.32	% SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
63.07/62.33	EOF