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 : n182.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 05:08:55 CDT 2018 0.02/0.23 % CPUTime : 43.65/44.00 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 43.65/44.01 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p 43.65/44.01 43.65/44.01 - the following list represents a non-clausal connection proof 43.65/44.01 (a tree in which each node is labelled with a nested clause) 43.65/44.01 - I^V is a skolem term f_I(V) for variable list V 43.65/44.01 - (I^K)^V:C is the (nested) clause C with index (I^K)^V, in which 43.65/44.01 I is the unique index of C, K distinguishes different copies 43.65/44.01 of C, and V is the list of (instantiated) variables in C 43.69/44.01 43.69/44.01 [(223 ^ 0) ^ [] : [-(int_leq(219 ^ [], n))], [(157 ^ 1) ^ [219 ^ [], 218 ^ []] : [int_leq(219 ^ [], n), int_leq(int_one, 218 ^ []), int_leq(int_one, 219 ^ []), int_leq(218 ^ [], n), 172 ^ 1 : [(201 ^ 1) ^ [97 ^ [219 ^ [], 218 ^ []]] : [plus(218 ^ [], 97 ^ [219 ^ [], 218 ^ []]) = 219 ^ [], int_less(int_zero, 97 ^ [219 ^ [], 218 ^ []]), 208 ^ 1 : [(209 ^ 1) ^ [218 ^ []] : [-(real_zero = a(218 ^ [], plus(218 ^ [], 97 ^ [219 ^ [], 218 ^ []]))), int_leq(218 ^ [], 218 ^ []), int_leq(int_one, 218 ^ [])]]], (191 ^ 1) ^ [_26707] : [-(a(_26707, _26707) = real_one), int_leq(int_one, _26707), int_leq(_26707, 219 ^ [])], (173 ^ 1) ^ [_26740] : [plus(219 ^ [], _26740) = 218 ^ [], int_less(int_zero, _26740), 180 ^ 1 : [(181 ^ 1) ^ [_26774] : [-(real_zero = a(plus(_26774, _26740), _26774)), int_leq(int_one, _26774), int_leq(_26774, 219 ^ [])]]]]], [(225 ^ 2) ^ [] : [-(int_leq(int_one, 218 ^ []))]], [(123 ^ 2) ^ [219 ^ []] : [-(int_leq(int_one, 219 ^ [])), int_less(int_zero, 219 ^ [])], [(129 ^ 3) ^ [219 ^ [], 218 ^ [], int_zero] : [-(int_less(int_zero, 219 ^ [])), int_less(218 ^ [], 219 ^ []), int_less(int_zero, 218 ^ [])], [(221 ^ 4) ^ [] : [-(int_less(218 ^ [], 219 ^ []))]], [(117 ^ 4) ^ [218 ^ []] : [-(int_less(int_zero, 218 ^ [])), int_leq(int_one, 218 ^ [])], [_27700 ^ _27701 : [-(int_leq(int_one, 218 ^ []))]]]]], [(149 ^ 2) ^ [n, 218 ^ []] : [-(int_leq(218 ^ [], n)), 150 ^ 2 : [(153 ^ 2) ^ [] : [218 ^ [] = n], (151 ^ 2) ^ [] : [int_less(218 ^ [], n)]]], [(20 ^ 5) ^ [n, 219 ^ [], 218 ^ [], 218 ^ []] : [-(int_less(218 ^ [], n)), int_less(218 ^ [], 219 ^ []), 218 ^ [] = 218 ^ [], 219 ^ [] = n], [(221 ^ 6) ^ [] : [-(int_less(218 ^ [], 219 ^ []))]], [(10 ^ 6) ^ [218 ^ [], plus(218 ^ [], int_zero), 218 ^ []] : [-(218 ^ [] = 218 ^ []), 218 ^ [] = plus(218 ^ [], int_zero), plus(218 ^ [], int_zero) = 218 ^ []], [(86 ^ 7) ^ [218 ^ []] : [-(218 ^ [] = plus(218 ^ [], int_zero))]], [(4 ^ 7) ^ [plus(218 ^ [], int_zero), 218 ^ []] : [-(plus(218 ^ [], int_zero) = 218 ^ []), 218 ^ [] = plus(218 ^ [], int_zero)], [_28705 ^ _28706 : [-(218 ^ [] = plus(218 ^ [], int_zero))]]]], [(139 ^ 6) ^ [n, 219 ^ []] : [-(219 ^ [] = n), int_leq(219 ^ [], n), -(int_less(219 ^ [], n))], [_28930 ^ _28931 : [-(int_leq(219 ^ [], n))]], [(129 ^ 7) ^ [n, 219 ^ [], 218 ^ []] : [int_less(219 ^ [], n), -(int_less(218 ^ [], n)), int_less(218 ^ [], 219 ^ [])], [_29077 ^ _29078 : [int_less(218 ^ [], n)]], [_29095 ^ _29096 : [-(int_less(218 ^ [], 219 ^ []))]]]]]], [(4 ^ 4) ^ [plus(218 ^ [], 97 ^ [219 ^ [], 218 ^ []]), 219 ^ []] : [-(plus(218 ^ [], 97 ^ [219 ^ [], 218 ^ []]) = 219 ^ []), 219 ^ [] = plus(218 ^ [], 97 ^ [219 ^ [], 218 ^ []])], [(10 ^ 5) ^ [plus(218 ^ [], 97 ^ [219 ^ [], 218 ^ []]), plus(97 ^ [219 ^ [], 218 ^ []], 218 ^ []), 219 ^ []] : [-(219 ^ [] = plus(218 ^ [], 97 ^ [219 ^ [], 218 ^ []])), 219 ^ [] = plus(97 ^ [219 ^ [], 218 ^ []], 218 ^ []), plus(97 ^ [219 ^ [], 218 ^ []], 218 ^ []) = plus(218 ^ [], 97 ^ [219 ^ [], 218 ^ []])], [(10 ^ 6) ^ [plus(97 ^ [219 ^ [], 218 ^ []], 218 ^ []), plus(218 ^ [], 97 ^ [219 ^ [], 218 ^ []]), 219 ^ []] : [-(219 ^ [] = plus(97 ^ [219 ^ [], 218 ^ []], 218 ^ [])), 219 ^ [] = plus(218 ^ [], 97 ^ [219 ^ [], 218 ^ []]), plus(218 ^ [], 97 ^ [219 ^ [], 218 ^ []]) = plus(97 ^ [219 ^ [], 218 ^ []], 218 ^ [])], [(94 ^ 7) ^ [219 ^ [], 218 ^ []] : [-(219 ^ [] = plus(218 ^ [], 97 ^ [219 ^ [], 218 ^ []])), 98 ^ 7 : [(99 ^ 7) ^ [] : []], int_less(218 ^ [], 219 ^ [])], [(221 ^ 8) ^ [] : [-(int_less(218 ^ [], 219 ^ []))]]], [(113 ^ 7) ^ [97 ^ [219 ^ [], 218 ^ []], 218 ^ []] : [-(plus(218 ^ [], 97 ^ [219 ^ [], 218 ^ []]) = plus(97 ^ [219 ^ [], 218 ^ []], 218 ^ []))]]], [(10 ^ 6) ^ [plus(218 ^ [], 97 ^ [219 ^ [], 218 ^ []]), plus(218 ^ [], 97 ^ [219 ^ [], 218 ^ []]), plus(97 ^ [219 ^ [], 218 ^ []], 218 ^ [])] : [-(plus(97 ^ [219 ^ [], 218 ^ []], 218 ^ []) = plus(218 ^ [], 97 ^ [219 ^ [], 218 ^ []])), plus(97 ^ [219 ^ [], 218 ^ []], 218 ^ []) = plus(218 ^ [], 97 ^ [219 ^ [], 218 ^ []]), plus(218 ^ [], 97 ^ [219 ^ [], 218 ^ []]) = plus(218 ^ [], 97 ^ [219 ^ [], 218 ^ []])], [(113 ^ 7) ^ [218 ^ [], 97 ^ [219 ^ [], 218 ^ []]] : [-(plus(97 ^ [219 ^ [], 218 ^ []], 218 ^ []) = plus(218 ^ [], 97 ^ [219 ^ [], 218 ^ []]))]], [(2 ^ 7) ^ [plus(218 ^ [], 97 ^ [219 ^ [], 218 ^ []])] : [-(plus(218 ^ [], 97 ^ [219 ^ [], 218 ^ []]) = plus(218 ^ [], 97 ^ [219 ^ [], 218 ^ []]))]]]]], [(94 ^ 4) ^ [219 ^ [], 218 ^ []] : [-(int_less(int_zero, 97 ^ [219 ^ [], 218 ^ []])), 98 ^ 4 : [(101 ^ 4) ^ [] : []], int_less(218 ^ [], 219 ^ [])], [(221 ^ 5) ^ [] : [-(int_less(218 ^ [], 219 ^ []))]]], [(10 ^ 6) ^ [a(218 ^ [], 219 ^ []), a(218 ^ [], plus(218 ^ [], 97 ^ [219 ^ [], 218 ^ []])), real_zero] : [real_zero = a(218 ^ [], plus(218 ^ [], 97 ^ [219 ^ [], 218 ^ []])), -(real_zero = a(218 ^ [], 219 ^ [])), a(218 ^ [], plus(218 ^ [], 97 ^ [219 ^ [], 218 ^ []])) = a(218 ^ [], 219 ^ [])], [(10 ^ 7) ^ [real_zero, a(218 ^ [], 219 ^ []), real_zero] : [real_zero = a(218 ^ [], 219 ^ []), -(real_zero = real_zero), a(218 ^ [], 219 ^ []) = real_zero], [(10 ^ 8) ^ [a(218 ^ [], 219 ^ []), real_zero, real_zero] : [real_zero = real_zero, -(real_zero = a(218 ^ [], 219 ^ [])), real_zero = a(218 ^ [], 219 ^ [])], [(4 ^ 9) ^ [a(218 ^ [], 219 ^ []), real_zero] : [real_zero = a(218 ^ [], 219 ^ []), -(a(218 ^ [], 219 ^ []) = real_zero)], [(227 ^ 10) ^ [] : [a(218 ^ [], 219 ^ []) = real_zero]]], [_31421 ^ _31422 : [-(real_zero = a(218 ^ [], 219 ^ []))]]], [(4 ^ 8) ^ [a(218 ^ [], 219 ^ []), real_zero] : [-(a(218 ^ [], 219 ^ []) = real_zero), real_zero = a(218 ^ [], 219 ^ [])], [_31613 ^ _31614 : [-(real_zero = a(218 ^ [], 219 ^ []))]]]], [(58 ^ 7) ^ [219 ^ [], plus(218 ^ [], 97 ^ [219 ^ [], 218 ^ []]), 218 ^ [], 218 ^ []] : [-(a(218 ^ [], plus(218 ^ [], 97 ^ [219 ^ [], 218 ^ []])) = a(218 ^ [], 219 ^ [])), 218 ^ [] = 218 ^ [], plus(218 ^ [], 97 ^ [219 ^ [], 218 ^ []]) = 219 ^ []], [(2 ^ 8) ^ [218 ^ []] : [-(218 ^ [] = 218 ^ [])]], [_32011 ^ _32012 : [-(plus(218 ^ [], 97 ^ [219 ^ [], 218 ^ []]) = 219 ^ [])]]]], [(68 ^ 6) ^ [218 ^ [], 218 ^ []] : [-(int_leq(218 ^ [], 218 ^ [])), -(int_less(218 ^ [], 218 ^ []))], [(129 ^ 7) ^ [218 ^ [], 218 ^ [], 218 ^ []] : [int_less(218 ^ [], 218 ^ []), -(int_less(218 ^ [], 218 ^ [])), int_less(218 ^ [], 218 ^ [])], [(129 ^ 8) ^ [218 ^ [], 218 ^ [], 218 ^ []] : [int_less(218 ^ [], 218 ^ []), -(int_less(218 ^ [], 218 ^ [])), int_less(218 ^ [], 218 ^ [])], [(149 ^ 9) ^ [218 ^ [], 218 ^ []] : [int_less(218 ^ [], 218 ^ []), 150 ^ 9 : [(151 ^ 9) ^ [] : []], -(int_leq(218 ^ [], 218 ^ []))], [_32671 ^ _32672 : [int_leq(218 ^ [], 218 ^ [])]]], [_32692 ^ _32693 : [-(int_less(218 ^ [], 218 ^ []))]]], [_32714 ^ _32715 : [-(int_less(218 ^ [], 218 ^ []))]]]], [_32739 ^ _32740 : [-(int_leq(int_one, 218 ^ []))]]]] 43.69/44.01 43.69/44.01 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p 43.69/44.02 EOF