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 : n014.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 13:05:54 EDT 2019 0.12/0.33 % CPUTime : 141.27/136.20 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 141.27/136.20 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p 141.27/136.20 141.27/136.20 - the following list represents a non-clausal connection proof 141.27/136.20 (a tree in which each node is labelled with a nested clause) 141.27/136.20 - I^V is a skolem term f_I(V) for variable list V 141.27/136.20 - (I^K)^V:C is the (nested) clause C with index (I^K)^V, in which 141.27/136.20 I is the unique index of C, K distinguishes different copies 141.27/136.20 of C, and V is the list of (instantiated) variables in C 141.27/136.21 141.27/136.21 [(225 ^ 0) ^ [] : [-(int_leq(219 ^ [], n))], [(157 ^ 1) ^ [219 ^ [], 218 ^ []] : [int_leq(219 ^ [], n), int_leq(int_one, 218 ^ []), int_leq(218 ^ [], n), int_leq(int_one, 219 ^ []), 172 ^ 1 : [(173 ^ 1) ^ [_27345] : [218 ^ [] = plus(219 ^ [], _27345), int_less(int_zero, _27345), 180 ^ 1 : [(181 ^ 1) ^ [_27379] : [-(real_zero = a(plus(_27379, _27345), _27379)), int_leq(int_one, _27379), int_leq(_27379, 219 ^ [])]]], (191 ^ 1) ^ [151 ^ [219 ^ [], 218 ^ []]] : [int_less(int_zero, 151 ^ [219 ^ [], 218 ^ []]), plus(218 ^ [], 151 ^ [219 ^ [], 218 ^ []]) = 219 ^ [], 198 ^ 1 : [(199 ^ 1) ^ [218 ^ []] : [-(a(218 ^ [], plus(218 ^ [], 151 ^ [219 ^ [], 218 ^ []])) = real_zero), int_leq(int_one, 218 ^ []), int_leq(218 ^ [], 218 ^ [])]]], (209 ^ 1) ^ [_27485] : [-(real_one = a(_27485, _27485)), int_leq(int_one, _27485), int_leq(_27485, 219 ^ [])]]], [(221 ^ 2) ^ [] : [-(int_leq(int_one, 218 ^ []))]], [(94 ^ 2) ^ [n, 218 ^ []] : [-(int_leq(218 ^ [], n)), 95 ^ 2 : [(96 ^ 2) ^ [] : [int_less(218 ^ [], n)], (98 ^ 2) ^ [] : [218 ^ [] = n]]], [(20 ^ 5) ^ [n, 219 ^ [], 218 ^ [], 218 ^ []] : [-(int_less(218 ^ [], n)), int_less(218 ^ [], 219 ^ []), 218 ^ [] = 218 ^ [], 219 ^ [] = n], [(223 ^ 6) ^ [] : [-(int_less(218 ^ [], 219 ^ []))]], [(2 ^ 6) ^ [218 ^ []] : [-(218 ^ [] = 218 ^ [])]], [(102 ^ 6) ^ [n, 219 ^ []] : [-(219 ^ [] = n), int_leq(219 ^ [], n), -(int_less(219 ^ [], n))], [_28744 ^ _28745 : [-(int_leq(219 ^ [], n))]], [(70 ^ 7) ^ [n, 219 ^ [], 218 ^ []] : [int_less(219 ^ [], n), -(int_less(218 ^ [], n)), int_less(218 ^ [], 219 ^ [])], [_28931 ^ _28932 : [int_less(218 ^ [], n)]], [_28949 ^ _28950 : [-(int_less(218 ^ [], 219 ^ []))]]]]]], [(118 ^ 2) ^ [219 ^ []] : [-(int_leq(int_one, 219 ^ [])), int_less(int_zero, 219 ^ [])], [(70 ^ 3) ^ [219 ^ [], 151 ^ [219 ^ [], 218 ^ []], int_zero] : [-(int_less(int_zero, 219 ^ [])), int_less(int_zero, 151 ^ [219 ^ [], 218 ^ []]), int_less(151 ^ [219 ^ [], 218 ^ []], 219 ^ [])], [(148 ^ 4) ^ [219 ^ [], 218 ^ []] : [-(int_less(int_zero, 151 ^ [219 ^ [], 218 ^ []])), 152 ^ 4 : [(155 ^ 4) ^ [] : []], int_less(218 ^ [], 219 ^ [])], [(223 ^ 5) ^ [] : [-(int_less(218 ^ [], 219 ^ []))]]], [(138 ^ 4) ^ [219 ^ [], 151 ^ [219 ^ [], 218 ^ []]] : [-(int_less(151 ^ [219 ^ [], 218 ^ []], 219 ^ [])), 139 ^ 4 : [(140 ^ 4) ^ [218 ^ []] : [219 ^ [] = plus(151 ^ [219 ^ [], 218 ^ []], 218 ^ []), int_less(int_zero, 218 ^ [])]]], [(10 ^ 7) ^ [plus(151 ^ [219 ^ [], 218 ^ []], 218 ^ []), plus(218 ^ [], 151 ^ [219 ^ [], 218 ^ []]), 219 ^ []] : [-(219 ^ [] = plus(151 ^ [219 ^ [], 218 ^ []], 218 ^ [])), 219 ^ [] = plus(218 ^ [], 151 ^ [219 ^ [], 218 ^ []]), plus(218 ^ [], 151 ^ [219 ^ [], 218 ^ []]) = plus(151 ^ [219 ^ [], 218 ^ []], 218 ^ [])], [(148 ^ 8) ^ [219 ^ [], 218 ^ []] : [-(219 ^ [] = plus(218 ^ [], 151 ^ [219 ^ [], 218 ^ []])), 152 ^ 8 : [(153 ^ 8) ^ [] : []], int_less(218 ^ [], 219 ^ [])], [(223 ^ 9) ^ [] : [-(int_less(218 ^ [], 219 ^ []))]]], [(80 ^ 8) ^ [151 ^ [219 ^ [], 218 ^ []], 218 ^ []] : [-(plus(218 ^ [], 151 ^ [219 ^ [], 218 ^ []]) = plus(151 ^ [219 ^ [], 218 ^ []], 218 ^ []))]]], [(112 ^ 7) ^ [218 ^ []] : [-(int_less(int_zero, 218 ^ [])), int_leq(int_one, 218 ^ [])], [_30649 ^ _30650 : [-(int_leq(int_one, 218 ^ []))]]]]]], [(148 ^ 4) ^ [219 ^ [], 218 ^ []] : [-(int_less(int_zero, 151 ^ [219 ^ [], 218 ^ []])), 152 ^ 4 : [(155 ^ 4) ^ [] : []], int_less(218 ^ [], 219 ^ [])], [(223 ^ 5) ^ [] : [-(int_less(218 ^ [], 219 ^ []))]]], [(4 ^ 4) ^ [plus(218 ^ [], 151 ^ [219 ^ [], 218 ^ []]), 219 ^ []] : [-(plus(218 ^ [], 151 ^ [219 ^ [], 218 ^ []]) = 219 ^ []), 219 ^ [] = plus(218 ^ [], 151 ^ [219 ^ [], 218 ^ []])], [(148 ^ 5) ^ [219 ^ [], 218 ^ []] : [-(219 ^ [] = plus(218 ^ [], 151 ^ [219 ^ [], 218 ^ []])), 152 ^ 5 : [(153 ^ 5) ^ [] : []], int_less(218 ^ [], 219 ^ [])], [(223 ^ 6) ^ [] : [-(int_less(218 ^ [], 219 ^ []))]]]], [(4 ^ 6) ^ [real_zero, a(218 ^ [], plus(218 ^ [], 151 ^ [219 ^ [], 218 ^ []]))] : [a(218 ^ [], plus(218 ^ [], 151 ^ [219 ^ [], 218 ^ []])) = real_zero, -(real_zero = a(218 ^ [], plus(218 ^ [], 151 ^ [219 ^ [], 218 ^ []])))], [(10 ^ 7) ^ [a(218 ^ [], 219 ^ []), a(218 ^ [], plus(218 ^ [], 151 ^ [219 ^ [], 218 ^ []])), real_zero] : [real_zero = a(218 ^ [], plus(218 ^ [], 151 ^ [219 ^ [], 218 ^ []])), -(real_zero = a(218 ^ [], 219 ^ [])), a(218 ^ [], plus(218 ^ [], 151 ^ [219 ^ [], 218 ^ []])) = a(218 ^ [], 219 ^ [])], [(227 ^ 8) ^ [] : [real_zero = a(218 ^ [], 219 ^ [])]], [(4 ^ 8) ^ [a(218 ^ [], plus(218 ^ [], 151 ^ [219 ^ [], 218 ^ []])), a(218 ^ [], 219 ^ [])] : [-(a(218 ^ [], plus(218 ^ [], 151 ^ [219 ^ [], 218 ^ []])) = a(218 ^ [], 219 ^ [])), a(218 ^ [], 219 ^ []) = a(218 ^ [], plus(218 ^ [], 151 ^ [219 ^ [], 218 ^ []]))], [(58 ^ 9) ^ [plus(218 ^ [], 151 ^ [219 ^ [], 218 ^ []]), 219 ^ [], 218 ^ [], 218 ^ []] : [-(a(218 ^ [], 219 ^ []) = a(218 ^ [], plus(218 ^ [], 151 ^ [219 ^ [], 218 ^ []]))), 218 ^ [] = 218 ^ [], 219 ^ [] = plus(218 ^ [], 151 ^ [219 ^ [], 218 ^ []])], [(2 ^ 10) ^ [218 ^ []] : [-(218 ^ [] = 218 ^ [])]], [(148 ^ 10) ^ [219 ^ [], 218 ^ []] : [-(219 ^ [] = plus(218 ^ [], 151 ^ [219 ^ [], 218 ^ []])), 152 ^ 10 : [(153 ^ 10) ^ [] : []], int_less(218 ^ [], 219 ^ [])], [(223 ^ 11) ^ [] : [-(int_less(218 ^ [], 219 ^ []))]]]]]]], [_32618 ^ _32619 : [-(int_leq(int_one, 218 ^ []))]], [(130 ^ 6) ^ [218 ^ [], 218 ^ []] : [-(int_leq(218 ^ [], 218 ^ [])), -(int_less(218 ^ [], 218 ^ []))], [(148 ^ 7) ^ [218 ^ [], 218 ^ []] : [int_less(218 ^ [], 218 ^ []), 152 ^ 7 : [(153 ^ 7) ^ [] : [-(218 ^ [] = plus(218 ^ [], 151 ^ [218 ^ [], 218 ^ []]))], (155 ^ 7) ^ [] : [-(int_less(int_zero, 151 ^ [218 ^ [], 218 ^ []]))]]], [(4 ^ 10) ^ [plus(218 ^ [], 151 ^ [218 ^ [], 218 ^ []]), 218 ^ []] : [218 ^ [] = plus(218 ^ [], 151 ^ [218 ^ [], 218 ^ []]), -(plus(218 ^ [], 151 ^ [218 ^ [], 218 ^ []]) = 218 ^ [])], [(34 ^ 11) ^ [218 ^ [], 218 ^ [], 218 ^ [], plus(218 ^ [], 151 ^ [218 ^ [], 218 ^ []])] : [plus(218 ^ [], 151 ^ [218 ^ [], 218 ^ []]) = 218 ^ [], -(int_leq(218 ^ [], 218 ^ [])), int_leq(plus(218 ^ [], 151 ^ [218 ^ [], 218 ^ []]), 218 ^ []), 218 ^ [] = 218 ^ []], [_33335 ^ _33336 : [int_leq(218 ^ [], 218 ^ [])]], [(94 ^ 12) ^ [218 ^ [], plus(218 ^ [], 151 ^ [218 ^ [], 218 ^ []])] : [-(int_leq(plus(218 ^ [], 151 ^ [218 ^ [], 218 ^ []]), 218 ^ [])), 95 ^ 12 : [(96 ^ 12) ^ [] : [int_less(plus(218 ^ [], 151 ^ [218 ^ [], 218 ^ []]), 218 ^ [])], (98 ^ 12) ^ [] : [plus(218 ^ [], 151 ^ [218 ^ [], 218 ^ []]) = 218 ^ []]]], [_33612 ^ _33613 : [-(plus(218 ^ [], 151 ^ [218 ^ [], 218 ^ []]) = 218 ^ [])]]], [(2 ^ 12) ^ [218 ^ []] : [-(218 ^ [] = 218 ^ [])]]]]]]]] 141.27/136.21 141.27/136.22 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p 141.27/136.22 EOF