TSTP Solution File: LCL815_5 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : LCL815_5 : TPTP v8.1.2. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n013.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 07:11:23 EDT 2023
% Result : Theorem 33.54s 33.70s
% Output : Proof 33.54s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL815_5 : TPTP v8.1.2. Released v6.0.0.
% 0.00/0.13 % Command : duper %s
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % 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 04:52:02 EDT 2023
% 0.14/0.35 % CPUTime :
% 33.54/33.70 SZS status Theorem for theBenchmark.p
% 33.54/33.70 SZS output start Proof for theBenchmark.p
% 33.54/33.70 Clause #3 (by assumption #[]): Eq (pp (aa (list type) bool (typings e (map dB dB (combc dB nat dB (combc dB dB (fun nat dB) subst u) i) as)) ts)) True
% 33.54/33.70 Clause #5 (by assumption #[]): Eq
% 33.54/33.70 (∀ (Ua : type) (Ib : nat) (Tsa : list type) (Ts : list dB) (Eb : fun nat type),
% 33.54/33.70 pp (aa (list type) bool (typings Eb Ts) Tsa) →
% 33.54/33.70 pp (aa (list type) bool (typings (shift type Eb Ib Ua) (map dB dB (combc dB nat dB lift Ib) Ts)) Tsa))
% 33.54/33.70 True
% 33.54/33.70 Clause #113 (by assumption #[]): Eq
% 33.54/33.70 (Not
% 33.54/33.70 (pp
% 33.54/33.70 (aa (list type) bool
% 33.54/33.70 (typings (shift type e (zero_zero nat) (foldr type type fun1 ts t))
% 33.54/33.70 (map dB dB (combc dB nat dB lift (zero_zero nat))
% 33.54/33.70 (map dB dB (combc dB nat dB (combc dB dB (fun nat dB) subst u) i) as)))
% 33.54/33.70 ts)))
% 33.54/33.70 True
% 33.54/33.70 Clause #173 (by clausification #[5]): ∀ (a : type),
% 33.54/33.70 Eq
% 33.54/33.70 (∀ (Ib : nat) (Tsa : list type) (Ts : list dB) (Eb : fun nat type),
% 33.54/33.70 pp (aa (list type) bool (typings Eb Ts) Tsa) →
% 33.54/33.70 pp (aa (list type) bool (typings (shift type Eb Ib a) (map dB dB (combc dB nat dB lift Ib) Ts)) Tsa))
% 33.54/33.70 True
% 33.54/33.70 Clause #174 (by clausification #[173]): ∀ (a : nat) (a_1 : type),
% 33.54/33.70 Eq
% 33.54/33.70 (∀ (Tsa : list type) (Ts : list dB) (Eb : fun nat type),
% 33.54/33.70 pp (aa (list type) bool (typings Eb Ts) Tsa) →
% 33.54/33.70 pp (aa (list type) bool (typings (shift type Eb a a_1) (map dB dB (combc dB nat dB lift a) Ts)) Tsa))
% 33.54/33.70 True
% 33.54/33.70 Clause #175 (by clausification #[174]): ∀ (a : list type) (a_1 : nat) (a_2 : type),
% 33.54/33.70 Eq
% 33.54/33.70 (∀ (Ts : list dB) (Eb : fun nat type),
% 33.54/33.70 pp (aa (list type) bool (typings Eb Ts) a) →
% 33.54/33.70 pp (aa (list type) bool (typings (shift type Eb a_1 a_2) (map dB dB (combc dB nat dB lift a_1) Ts)) a))
% 33.54/33.70 True
% 33.54/33.70 Clause #176 (by clausification #[175]): ∀ (a : list dB) (a_1 : list type) (a_2 : nat) (a_3 : type),
% 33.54/33.70 Eq
% 33.54/33.70 (∀ (Eb : fun nat type),
% 33.54/33.70 pp (aa (list type) bool (typings Eb a) a_1) →
% 33.54/33.70 pp (aa (list type) bool (typings (shift type Eb a_2 a_3) (map dB dB (combc dB nat dB lift a_2) a)) a_1))
% 33.54/33.70 True
% 33.54/33.70 Clause #177 (by clausification #[176]): ∀ (a : fun nat type) (a_1 : list dB) (a_2 : list type) (a_3 : nat) (a_4 : type),
% 33.54/33.70 Eq
% 33.54/33.70 (pp (aa (list type) bool (typings a a_1) a_2) →
% 33.54/33.70 pp (aa (list type) bool (typings (shift type a a_3 a_4) (map dB dB (combc dB nat dB lift a_3) a_1)) a_2))
% 33.54/33.70 True
% 33.54/33.70 Clause #178 (by clausification #[177]): ∀ (a : fun nat type) (a_1 : list dB) (a_2 : list type) (a_3 : nat) (a_4 : type),
% 33.54/33.70 Or (Eq (pp (aa (list type) bool (typings a a_1) a_2)) False)
% 33.54/33.70 (Eq (pp (aa (list type) bool (typings (shift type a a_3 a_4) (map dB dB (combc dB nat dB lift a_3) a_1)) a_2)) True)
% 33.54/33.70 Clause #179 (by superposition #[178, 3]): ∀ (a : nat) (a_1 : type),
% 33.54/33.70 Or
% 33.54/33.70 (Eq
% 33.54/33.70 (pp
% 33.54/33.70 (aa (list type) bool
% 33.54/33.70 (typings (shift type e a a_1)
% 33.54/33.70 (map dB dB (combc dB nat dB lift a) (map dB dB (combc dB nat dB (combc dB dB (fun nat dB) subst u) i) as)))
% 33.54/33.70 ts))
% 33.54/33.70 True)
% 33.54/33.70 (Eq False True)
% 33.54/33.70 Clause #7244 (by clausification #[113]): Eq
% 33.54/33.70 (pp
% 33.54/33.70 (aa (list type) bool
% 33.54/33.70 (typings (shift type e (zero_zero nat) (foldr type type fun1 ts t))
% 33.54/33.70 (map dB dB (combc dB nat dB lift (zero_zero nat))
% 33.54/33.70 (map dB dB (combc dB nat dB (combc dB dB (fun nat dB) subst u) i) as)))
% 33.54/33.70 ts))
% 33.54/33.70 False
% 33.54/33.70 Clause #8503 (by clausification #[179]): ∀ (a : nat) (a_1 : type),
% 33.54/33.70 Eq
% 33.54/33.70 (pp
% 33.54/33.70 (aa (list type) bool
% 33.54/33.70 (typings (shift type e a a_1)
% 33.54/33.70 (map dB dB (combc dB nat dB lift a) (map dB dB (combc dB nat dB (combc dB dB (fun nat dB) subst u) i) as)))
% 33.54/33.70 ts))
% 33.54/33.70 True
% 33.54/33.70 Clause #8508 (by superposition #[8503, 7244]): Eq True False
% 33.54/33.70 Clause #8587 (by clausification #[8508]): False
% 33.54/33.70 SZS output end Proof for theBenchmark.p
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