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 12:56:18 EDT 2019 0.12/0.33 % CPUTime : 0.36/1.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p 0.36/1.42 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p 0.36/1.42 0.36/1.42 - the following list represents a non-clausal connection proof 0.36/1.42 (a tree in which each node is labelled with a nested clause) 0.36/1.42 - I^V is a skolem term f_I(V) for variable list V 0.36/1.42 - (I^K)^V:C is the (nested) clause C with index (I^K)^V, in which 0.36/1.42 I is the unique index of C, K distinguishes different copies 0.36/1.42 of C, and V is the list of (instantiated) variables in C 0.36/1.42 0.36/1.42 [(1315 ^ 0) ^ [] : [n3 = 1311 ^ []], [(1240 ^ 1) ^ [n5, 1311 ^ [], n3, n2] : [-(n3 = 1311 ^ []), sum(n2, 1311 ^ [], n5), sum(n2, n3, n5)], [(1313 ^ 2) ^ [] : [-(sum(n2, 1311 ^ [], n5))]], [(1048 ^ 2) ^ [rdnn(n5), rdnn(n3), rdnn(n2), n5, n3, n2] : [-(sum(n2, n3, n5)), rdn_translate(n3, rdn_pos(rdnn(n3))), rdn_translate(n5, rdn_pos(rdnn(n5))), rdn_add_with_carry(rdnn(n0), rdnn(n2), rdnn(n3), rdnn(n5)), rdn_translate(n2, rdn_pos(rdnn(n2)))], [(276 ^ 3) ^ [] : [-(rdn_translate(n3, rdn_pos(rdnn(n3))))]], [(422 ^ 3) ^ [] : [-(rdn_translate(n5, rdn_pos(rdnn(n5))))]], [(1154 ^ 3) ^ [n5, n5, n3, n2, n0] : [-(rdn_add_with_carry(rdnn(n0), rdnn(n2), rdnn(n3), rdnn(n5))), rdn_digit_add(rdnn(n5), rdnn(n0), rdnn(n5), rdnn(n0)), rdn_digit_add(rdnn(n2), rdnn(n3), rdnn(n5), rdnn(n0))], [(936 ^ 4) ^ [] : [-(rdn_digit_add(rdnn(n5), rdnn(n0), rdnn(n5), rdnn(n0)))]], [(1004 ^ 4) ^ [] : [-(rdn_digit_add(rdnn(n2), rdnn(n3), rdnn(n5), rdnn(n0)))]]], [(266 ^ 3) ^ [] : [-(rdn_translate(n2, rdn_pos(rdnn(n2))))]]]]] 0.36/1.43 0.36/1.43 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p 0.36/1.43 EOF