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 : n061.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 04:19:11 CDT 2018 0.02/0.23 % CPUTime : 29.99/29.77 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p 29.99/29.77 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p 29.99/29.77 29.99/29.77 - the following list represents a non-clausal connection proof 29.99/29.77 (a tree in which each node is labelled with a nested clause) 29.99/29.77 - I^V is a skolem term f_I(V) for variable list V 29.99/29.77 - (I^K)^V:C is the (nested) clause C with index (I^K)^V, in which 29.99/29.77 I is the unique index of C, K distinguishes different copies 29.99/29.77 of C, and V is the list of (instantiated) variables in C 30.04/29.78 30.04/29.78 [(430 ^ 0) ^ [int] : [linordered_idom(int), 433 ^ 0 : [(434 ^ 0) ^ [plus_plus(int, one_one(int), semiring_1_of_nat(int, n))] : [ord_less(int, power_power(int, plus_plus(int, one_one(int), semiring_1_of_nat(int, n)), number_number_of(nat, bit0(bit1(pls)))), zero_zero(int))]]], [(1038 ^ 1) ^ [] : [-(linordered_idom(int))]], [(592 ^ 3) ^ [power_power(int, plus_plus(int, one_one(int), semiring_1_of_nat(int, n)), number_number_of(nat, bit0(bit1(pls)))), zero_zero(int)] : [-(ord_less(int, power_power(int, plus_plus(int, one_one(int), semiring_1_of_nat(int, n)), number_number_of(nat, bit0(bit1(pls)))), zero_zero(int))), -(ord_less(int, zero_zero(int), power_power(int, plus_plus(int, one_one(int), semiring_1_of_nat(int, n)), number_number_of(nat, bit0(bit1(pls)))))), -(zero_zero(int) = power_power(int, plus_plus(int, one_one(int), semiring_1_of_nat(int, n)), number_number_of(nat, bit0(bit1(pls)))))], [(110 ^ 4) ^ [zero_zero(int), power_power(int, plus_plus(int, one_one(int), semiring_1_of_nat(int, n)), number_number_of(nat, bit0(bit1(pls)))), power_power(int, plus_plus(int, one_one(int), semiring_1_of_nat(int, n)), number_number_of(nat, bit0(bit1(pls)))), zero_zero(int), int, int] : [ord_less(int, zero_zero(int), power_power(int, plus_plus(int, one_one(int), semiring_1_of_nat(int, n)), number_number_of(nat, bit0(bit1(pls))))), -(ord_less(int, power_power(int, plus_plus(int, one_one(int), semiring_1_of_nat(int, n)), number_number_of(nat, bit0(bit1(pls)))), zero_zero(int))), int = int, zero_zero(int) = power_power(int, plus_plus(int, one_one(int), semiring_1_of_nat(int, n)), number_number_of(nat, bit0(bit1(pls)))), power_power(int, plus_plus(int, one_one(int), semiring_1_of_nat(int, n)), number_number_of(nat, bit0(bit1(pls)))) = zero_zero(int)], [_169324 ^ _169325 : [ord_less(int, power_power(int, plus_plus(int, one_one(int), semiring_1_of_nat(int, n)), number_number_of(nat, bit0(bit1(pls)))), zero_zero(int))]], [(2 ^ 5) ^ [int] : [-(int = int)]], [(4 ^ 5) ^ [zero_zero(int), power_power(int, plus_plus(int, one_one(int), semiring_1_of_nat(int, n)), number_number_of(nat, bit0(bit1(pls))))] : [-(zero_zero(int) = power_power(int, plus_plus(int, one_one(int), semiring_1_of_nat(int, n)), number_number_of(nat, bit0(bit1(pls))))), power_power(int, plus_plus(int, one_one(int), semiring_1_of_nat(int, n)), number_number_of(nat, bit0(bit1(pls)))) = zero_zero(int)], [(1334 ^ 6) ^ [] : [-(power_power(int, plus_plus(int, one_one(int), semiring_1_of_nat(int, n)), number_number_of(nat, bit0(bit1(pls)))) = zero_zero(int))]]], [(1334 ^ 5) ^ [] : [-(power_power(int, plus_plus(int, one_one(int), semiring_1_of_nat(int, n)), number_number_of(nat, bit0(bit1(pls)))) = zero_zero(int))]]], [(674 ^ 4) ^ [int] : [zero_zero(int) = power_power(int, plus_plus(int, one_one(int), semiring_1_of_nat(int, n)), number_number_of(nat, bit0(bit1(pls)))), 677 ^ 4 : [(684 ^ 4) ^ [plus_plus(int, one_one(int), semiring_1_of_nat(int, n))] : [-(ti(int, plus_plus(int, one_one(int), semiring_1_of_nat(int, n))) = zero_zero(int))]], ring_11004092258visors(int)], [(110 ^ 7) ^ [zero_zero(int), ti(int, plus_plus(int, one_one(int), semiring_1_of_nat(int, n))), power_power(int, plus_plus(int, one_one(int), semiring_1_of_nat(int, n)), number_number_of(nat, bit0(bit1(pls)))), zero_zero(int), int, int] : [ti(int, plus_plus(int, one_one(int), semiring_1_of_nat(int, n))) = zero_zero(int), -(ord_less(int, power_power(int, plus_plus(int, one_one(int), semiring_1_of_nat(int, n)), number_number_of(nat, bit0(bit1(pls)))), zero_zero(int))), ord_less(int, zero_zero(int), ti(int, plus_plus(int, one_one(int), semiring_1_of_nat(int, n)))), int = int, zero_zero(int) = power_power(int, plus_plus(int, one_one(int), semiring_1_of_nat(int, n)), number_number_of(nat, bit0(bit1(pls))))], [_170666 ^ _170667 : [ord_less(int, power_power(int, plus_plus(int, one_one(int), semiring_1_of_nat(int, n)), number_number_of(nat, bit0(bit1(pls)))), zero_zero(int))]], [(656 ^ 8) ^ [int, plus_plus(int, one_one(int), semiring_1_of_nat(int, n)), zero_zero(int)] : [-(ord_less(int, zero_zero(int), ti(int, plus_plus(int, one_one(int), semiring_1_of_nat(int, n))))), 659 ^ 8 : [(666 ^ 8) ^ [] : [ord_less(int, zero_zero(int), plus_plus(int, one_one(int), semiring_1_of_nat(int, n)))]], linordered_idom(int)], [(734 ^ 11) ^ [] : [-(ord_less(int, zero_zero(int), plus_plus(int, one_one(int), semiring_1_of_nat(int, n))))]], [_171794 ^ _171795 : [-(linordered_idom(int))]]], [(2 ^ 8) ^ [int] : [-(int = int)]], [_171943 ^ _171944 : [-(zero_zero(int) = power_power(int, plus_plus(int, one_one(int), semiring_1_of_nat(int, n)), number_number_of(nat, bit0(bit1(pls)))))]]], [(1218 ^ 5) ^ [] : [-(ring_11004092258visors(int))]]]]] 30.04/29.78 30.04/29.78 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p 30.04/29.78 EOF