TSTP Solution File: NUM994_5 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : NUM994_5 : TPTP v8.1.2. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 10:58:32 EDT 2023
% Result : Theorem 9.11s 9.32s
% Output : Proof 9.11s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM994_5 : TPTP v8.1.2. Released v6.0.0.
% 0.07/0.14 % Command : duper %s
% 0.14/0.34 % Computer : n007.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 25 15:33:41 EDT 2023
% 0.14/0.35 % CPUTime :
% 9.11/9.32 SZS status Theorem for theBenchmark.p
% 9.11/9.32 SZS output start Proof for theBenchmark.p
% 9.11/9.32 Clause #2 (by assumption #[]): Eq (∀ (K : int), Iff (ord_less_eq int pls (bit0 K)) (ord_less_eq int pls K)) True
% 9.11/9.32 Clause #29 (by assumption #[]): Eq (∀ (L1 K3 : int), Eq (times_times int (bit0 K3) L1) (bit0 (times_times int K3 L1))) True
% 9.11/9.32 Clause #33 (by assumption #[]): Eq (∀ (K3 : int), Eq (number_number_of int K3) K3) True
% 9.11/9.32 Clause #36 (by assumption #[]): Eq (Eq pls (zero_zero int)) True
% 9.11/9.32 Clause #42 (by assumption #[]): Eq (∀ (A : Type), ordere142940540dd_abs A → ∀ (A1 : A), ord_less_eq A (zero_zero A) (abs_abs A A1)) True
% 9.11/9.32 Clause #46 (by assumption #[]): Eq (∀ (A : Type), number_ring A → ∀ (A1 : A), Eq (times_times A (number_number_of A (bit1 pls)) A1) A1) True
% 9.11/9.32 Clause #93 (by assumption #[]): Eq (ordere142940540dd_abs int) True
% 9.11/9.32 Clause #108 (by assumption #[]): Eq (number_ring int) True
% 9.11/9.32 Clause #122 (by assumption #[]): Eq
% 9.11/9.32 (Not
% 9.11/9.32 (And (ord_less_eq int (zero_zero int) (times_times int (number_number_of int (bit0 (bit1 pls))) (abs_abs int v)))
% 9.11/9.32 (ord_less_eq int (zero_zero int) (times_times int (number_number_of int (bit0 (bit1 pls))) (abs_abs int w)))))
% 9.11/9.32 True
% 9.11/9.32 Clause #137 (by clausification #[2]): ∀ (a : int), Eq (Iff (ord_less_eq int pls (bit0 a)) (ord_less_eq int pls a)) True
% 9.11/9.32 Clause #138 (by clausification #[137]): ∀ (a : int), Or (Eq (ord_less_eq int pls (bit0 a)) True) (Eq (ord_less_eq int pls a) False)
% 9.11/9.32 Clause #156 (by clausification #[36]): Eq pls (zero_zero int)
% 9.11/9.32 Clause #190 (by clausification #[33]): ∀ (a : int), Eq (Eq (number_number_of int a) a) True
% 9.11/9.32 Clause #191 (by clausification #[190]): ∀ (a : int), Eq (number_number_of int a) a
% 9.11/9.32 Clause #461 (by clausification #[29]): ∀ (a : int), Eq (∀ (K3 : int), Eq (times_times int (bit0 K3) a) (bit0 (times_times int K3 a))) True
% 9.11/9.32 Clause #462 (by clausification #[461]): ∀ (a a_1 : int), Eq (Eq (times_times int (bit0 a) a_1) (bit0 (times_times int a a_1))) True
% 9.11/9.32 Clause #463 (by clausification #[462]): ∀ (a a_1 : int), Eq (times_times int (bit0 a) a_1) (bit0 (times_times int a a_1))
% 9.11/9.32 Clause #522 (by clausification #[42]): ∀ (a : Type), Eq (ordere142940540dd_abs a → ∀ (A1 : a), ord_less_eq a (zero_zero a) (abs_abs a A1)) True
% 9.11/9.32 Clause #523 (by clausification #[522]): ∀ (a : Type), Or (Eq (ordere142940540dd_abs a) False) (Eq (∀ (A1 : a), ord_less_eq a (zero_zero a) (abs_abs a A1)) True)
% 9.11/9.32 Clause #524 (by clausification #[523]): ∀ (a : Type) (a_1 : a), Or (Eq (ordere142940540dd_abs a) False) (Eq (ord_less_eq a (zero_zero a) (abs_abs a a_1)) True)
% 9.11/9.32 Clause #525 (by superposition #[524, 93]): ∀ (a : int), Or (Eq (ord_less_eq int (zero_zero int) (abs_abs int a)) True) (Eq False True)
% 9.11/9.32 Clause #534 (by clausification #[525]): ∀ (a : int), Eq (ord_less_eq int (zero_zero int) (abs_abs int a)) True
% 9.11/9.32 Clause #535 (by forward demodulation #[534, 156]): ∀ (a : int), Eq (ord_less_eq int pls (abs_abs int a)) True
% 9.11/9.32 Clause #536 (by superposition #[535, 138]): ∀ (a : int), Or (Eq (ord_less_eq int pls (bit0 (abs_abs int a))) True) (Eq True False)
% 9.11/9.32 Clause #548 (by clausification #[536]): ∀ (a : int), Eq (ord_less_eq int pls (bit0 (abs_abs int a))) True
% 9.11/9.32 Clause #676 (by clausification #[46]): ∀ (a : Type), Eq (number_ring a → ∀ (A1 : a), Eq (times_times a (number_number_of a (bit1 pls)) A1) A1) True
% 9.11/9.32 Clause #677 (by clausification #[676]): ∀ (a : Type),
% 9.11/9.32 Or (Eq (number_ring a) False) (Eq (∀ (A1 : a), Eq (times_times a (number_number_of a (bit1 pls)) A1) A1) True)
% 9.11/9.32 Clause #678 (by clausification #[677]): ∀ (a : Type) (a_1 : a),
% 9.11/9.32 Or (Eq (number_ring a) False) (Eq (Eq (times_times a (number_number_of a (bit1 pls)) a_1) a_1) True)
% 9.11/9.32 Clause #679 (by clausification #[678]): ∀ (a : Type) (a_1 : a), Or (Eq (number_ring a) False) (Eq (times_times a (number_number_of a (bit1 pls)) a_1) a_1)
% 9.11/9.32 Clause #680 (by superposition #[679, 108]): ∀ (a : int), Or (Eq (times_times int (number_number_of int (bit1 pls)) a) a) (Eq False True)
% 9.11/9.32 Clause #681 (by clausification #[680]): ∀ (a : int), Eq (times_times int (number_number_of int (bit1 pls)) a) a
% 9.11/9.32 Clause #682 (by forward demodulation #[681, 191]): ∀ (a : int), Eq (times_times int (bit1 pls) a) a
% 9.11/9.34 Clause #683 (by superposition #[682, 463]): ∀ (a : int), Eq (times_times int (bit0 (bit1 pls)) a) (bit0 a)
% 9.11/9.34 Clause #1841 (by clausification #[122]): Eq
% 9.11/9.34 (And (ord_less_eq int (zero_zero int) (times_times int (number_number_of int (bit0 (bit1 pls))) (abs_abs int v)))
% 9.11/9.34 (ord_less_eq int (zero_zero int) (times_times int (number_number_of int (bit0 (bit1 pls))) (abs_abs int w))))
% 9.11/9.34 False
% 9.11/9.34 Clause #1842 (by clausification #[1841]): Or
% 9.11/9.34 (Eq (ord_less_eq int (zero_zero int) (times_times int (number_number_of int (bit0 (bit1 pls))) (abs_abs int v)))
% 9.11/9.34 False)
% 9.11/9.34 (Eq (ord_less_eq int (zero_zero int) (times_times int (number_number_of int (bit0 (bit1 pls))) (abs_abs int w)))
% 9.11/9.34 False)
% 9.11/9.34 Clause #1843 (by forward demodulation #[1842, 191]): Or (Eq (ord_less_eq int (zero_zero int) (times_times int (bit0 (bit1 pls)) (abs_abs int v))) False)
% 9.11/9.34 (Eq (ord_less_eq int (zero_zero int) (times_times int (number_number_of int (bit0 (bit1 pls))) (abs_abs int w)))
% 9.11/9.34 False)
% 9.11/9.34 Clause #1844 (by forward demodulation #[1843, 683]): Or (Eq (ord_less_eq int (zero_zero int) (bit0 (abs_abs int v))) False)
% 9.11/9.34 (Eq (ord_less_eq int (zero_zero int) (times_times int (number_number_of int (bit0 (bit1 pls))) (abs_abs int w)))
% 9.11/9.34 False)
% 9.11/9.34 Clause #1845 (by forward demodulation #[1844, 156]): Or (Eq (ord_less_eq int pls (bit0 (abs_abs int v))) False)
% 9.11/9.34 (Eq (ord_less_eq int (zero_zero int) (times_times int (number_number_of int (bit0 (bit1 pls))) (abs_abs int w)))
% 9.11/9.34 False)
% 9.11/9.34 Clause #1846 (by forward demodulation #[1845, 548]): Or (Eq True False)
% 9.11/9.34 (Eq (ord_less_eq int (zero_zero int) (times_times int (number_number_of int (bit0 (bit1 pls))) (abs_abs int w)))
% 9.11/9.34 False)
% 9.11/9.34 Clause #1847 (by clausification #[1846]): Eq (ord_less_eq int (zero_zero int) (times_times int (number_number_of int (bit0 (bit1 pls))) (abs_abs int w))) False
% 9.11/9.34 Clause #1848 (by forward demodulation #[1847, 191]): Eq (ord_less_eq int (zero_zero int) (times_times int (bit0 (bit1 pls)) (abs_abs int w))) False
% 9.11/9.34 Clause #1849 (by forward demodulation #[1848, 683]): Eq (ord_less_eq int (zero_zero int) (bit0 (abs_abs int w))) False
% 9.11/9.34 Clause #1850 (by forward demodulation #[1849, 156]): Eq (ord_less_eq int pls (bit0 (abs_abs int w))) False
% 9.11/9.34 Clause #1851 (by superposition #[1850, 548]): Eq False True
% 9.11/9.34 Clause #1852 (by clausification #[1851]): False
% 9.11/9.34 SZS output end Proof for theBenchmark.p
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