TSTP Solution File: LCL811_5 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : LCL811_5 : TPTP v8.1.2. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n015.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 07:11:22 EDT 2023
% Result : Theorem 267.29s 267.54s
% Output : Proof 267.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL811_5 : TPTP v8.1.2. Released v6.0.0.
% 0.00/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n015.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 03:22:21 EDT 2023
% 0.14/0.35 % CPUTime :
% 267.29/267.54 SZS status Theorem for theBenchmark.p
% 267.29/267.54 SZS output start Proof for theBenchmark.p
% 267.29/267.54 Clause #4 (by assumption #[]): Eq
% 267.29/267.54 (listsp dB it
% 267.29/267.54 (cons dB
% 267.29/267.54 (aa nat dB (aa dB (fun nat dB) lift (aa nat dB (aa dB (fun nat dB) (aa dB (fun dB (fun nat dB)) subst b) u) i))
% 267.29/267.54 (zero_zero nat))
% 267.29/267.54 (map dB dB (combc dB nat dB lift (zero_zero nat))
% 267.29/267.54 (map dB dB (combc dB nat dB (combc dB dB (fun nat dB) subst u) i) bs))))
% 267.29/267.54 True
% 267.29/267.54 Clause #10 (by assumption #[]): Eq
% 267.29/267.54 (∀ (A B : Type) (Xs1 : list B) (X2 : B) (F : fun B A),
% 267.29/267.54 Eq (map B A F (cons B X2 Xs1)) (cons A (aa B A F X2) (map B A F Xs1)))
% 267.29/267.54 True
% 267.29/267.54 Clause #100 (by assumption #[]): Eq
% 267.29/267.54 (∀ (A C B : Type) (R : A) (Q : B) (P : fun A (fun B C)),
% 267.29/267.54 Eq (aa A C (combc A B C P Q) R) (aa B C (aa A (fun B C) P R) Q))
% 267.29/267.54 True
% 267.29/267.54 Clause #107 (by assumption #[]): Eq
% 267.29/267.54 (Not
% 267.29/267.54 (listsp dB it
% 267.29/267.54 (map dB dB (combc dB nat dB lift (zero_zero nat))
% 267.29/267.54 (map dB dB (combc dB nat dB (combc dB dB (fun nat dB) subst u) i) (cons dB b bs)))))
% 267.29/267.54 True
% 267.29/267.54 Clause #245 (by clausification #[10]): ∀ (a : Type),
% 267.29/267.54 Eq
% 267.29/267.54 (∀ (B : Type) (Xs1 : list B) (X2 : B) (F : fun B a),
% 267.29/267.54 Eq (map B a F (cons B X2 Xs1)) (cons a (aa B a F X2) (map B a F Xs1)))
% 267.29/267.54 True
% 267.29/267.54 Clause #246 (by clausification #[245]): ∀ (a a_1 : Type),
% 267.29/267.54 Eq
% 267.29/267.54 (∀ (Xs1 : list a) (X2 : a) (F : fun a a_1),
% 267.29/267.54 Eq (map a a_1 F (cons a X2 Xs1)) (cons a_1 (aa a a_1 F X2) (map a a_1 F Xs1)))
% 267.29/267.54 True
% 267.29/267.54 Clause #247 (by clausification #[246]): ∀ (a a_1 : Type) (a_2 : list a),
% 267.29/267.54 Eq (∀ (X2 : a) (F : fun a a_1), Eq (map a a_1 F (cons a X2 a_2)) (cons a_1 (aa a a_1 F X2) (map a a_1 F a_2))) True
% 267.29/267.54 Clause #248 (by clausification #[247]): ∀ (a a_1 : Type) (a_2 : a) (a_3 : list a),
% 267.29/267.54 Eq (∀ (F : fun a a_1), Eq (map a a_1 F (cons a a_2 a_3)) (cons a_1 (aa a a_1 F a_2) (map a a_1 F a_3))) True
% 267.29/267.54 Clause #249 (by clausification #[248]): ∀ (a a_1 : Type) (a_2 : fun a_1 a) (a_3 : a_1) (a_4 : list a_1),
% 267.29/267.54 Eq (Eq (map a_1 a a_2 (cons a_1 a_3 a_4)) (cons a (aa a_1 a a_2 a_3) (map a_1 a a_2 a_4))) True
% 267.29/267.54 Clause #250 (by clausification #[249]): ∀ (a a_1 : Type) (a_2 : fun a_1 a) (a_3 : a_1) (a_4 : list a_1),
% 267.29/267.54 Eq (map a_1 a a_2 (cons a_1 a_3 a_4)) (cons a (aa a_1 a a_2 a_3) (map a_1 a a_2 a_4))
% 267.29/267.54 Clause #1614 (by clausification #[100]): ∀ (a : Type),
% 267.29/267.54 Eq
% 267.29/267.54 (∀ (C B : Type) (R : a) (Q : B) (P : fun a (fun B C)),
% 267.29/267.54 Eq (aa a C (combc a B C P Q) R) (aa B C (aa a (fun B C) P R) Q))
% 267.29/267.54 True
% 267.29/267.54 Clause #1615 (by clausification #[1614]): ∀ (a a_1 : Type),
% 267.29/267.54 Eq
% 267.29/267.54 (∀ (B : Type) (R : a) (Q : B) (P : fun a (fun B a_1)),
% 267.29/267.54 Eq (aa a a_1 (combc a B a_1 P Q) R) (aa B a_1 (aa a (fun B a_1) P R) Q))
% 267.29/267.54 True
% 267.29/267.54 Clause #1616 (by clausification #[1615]): ∀ (a a_1 a_2 : Type),
% 267.29/267.54 Eq
% 267.29/267.54 (∀ (R : a) (Q : a_1) (P : fun a (fun a_1 a_2)),
% 267.29/267.54 Eq (aa a a_2 (combc a a_1 a_2 P Q) R) (aa a_1 a_2 (aa a (fun a_1 a_2) P R) Q))
% 267.29/267.54 True
% 267.29/267.54 Clause #1617 (by clausification #[1616]): ∀ (a a_1 a_2 : Type) (a_3 : a_1),
% 267.29/267.54 Eq
% 267.29/267.54 (∀ (Q : a) (P : fun a_1 (fun a a_2)),
% 267.29/267.54 Eq (aa a_1 a_2 (combc a_1 a a_2 P Q) a_3) (aa a a_2 (aa a_1 (fun a a_2) P a_3) Q))
% 267.29/267.54 True
% 267.29/267.54 Clause #1618 (by clausification #[1617]): ∀ (a a_1 a_2 : Type) (a_3 : a_1) (a_4 : a),
% 267.29/267.54 Eq
% 267.29/267.54 (∀ (P : fun a (fun a_1 a_2)), Eq (aa a a_2 (combc a a_1 a_2 P a_3) a_4) (aa a_1 a_2 (aa a (fun a_1 a_2) P a_4) a_3))
% 267.29/267.54 True
% 267.29/267.54 Clause #1619 (by clausification #[1618]): ∀ (a a_1 a_2 : Type) (a_3 : fun a_1 (fun a_2 a)) (a_4 : a_2) (a_5 : a_1),
% 267.29/267.54 Eq (Eq (aa a_1 a (combc a_1 a_2 a a_3 a_4) a_5) (aa a_2 a (aa a_1 (fun a_2 a) a_3 a_5) a_4)) True
% 267.29/267.54 Clause #1620 (by clausification #[1619]): ∀ (a a_1 a_2 : Type) (a_3 : fun a_1 (fun a_2 a)) (a_4 : a_2) (a_5 : a_1),
% 267.29/267.54 Eq (aa a_1 a (combc a_1 a_2 a a_3 a_4) a_5) (aa a_2 a (aa a_1 (fun a_2 a) a_3 a_5) a_4)
% 267.29/267.54 Clause #1623 (by superposition #[1620, 250]): ∀ (a a_1 a_2 : Type) (a_3 : fun a_1 (fun a_2 a)) (a_4 : a_2) (a_5 : a_1) (a_6 : list a_1),
% 267.29/267.54 Eq (map a_1 a (combc a_1 a_2 a a_3 a_4) (cons a_1 a_5 a_6))
% 267.29/267.54 (cons a (aa a_2 a (aa a_1 (fun a_2 a) a_3 a_5) a_4) (map a_1 a (combc a_1 a_2 a a_3 a_4) a_6))
% 267.29/267.54 Clause #1630 (by superposition #[1620, 4]): Eq
% 267.29/267.54 (listsp dB it
% 267.29/267.54 (cons dB
% 267.29/267.54 (aa nat dB (aa dB (fun nat dB) lift (aa nat dB (aa dB (fun nat dB) (combc dB dB (fun nat dB) subst u) b) i))
% 267.59/267.92 (zero_zero nat))
% 267.59/267.92 (map dB dB (combc dB nat dB lift (zero_zero nat))
% 267.59/267.92 (map dB dB (combc dB nat dB (combc dB dB (fun nat dB) subst u) i) bs))))
% 267.59/267.92 True
% 267.59/267.92 Clause #1853 (by clausification #[107]): Eq
% 267.59/267.92 (listsp dB it
% 267.59/267.92 (map dB dB (combc dB nat dB lift (zero_zero nat))
% 267.59/267.92 (map dB dB (combc dB nat dB (combc dB dB (fun nat dB) subst u) i) (cons dB b bs))))
% 267.59/267.92 False
% 267.59/267.92 Clause #54407 (by forward demodulation #[1630, 1623]): Eq
% 267.59/267.92 (listsp dB it
% 267.59/267.92 (map dB dB (combc dB nat dB lift (zero_zero nat))
% 267.59/267.92 (cons dB (aa nat dB (aa dB (fun nat dB) (combc dB dB (fun nat dB) subst u) b) i)
% 267.59/267.92 (map dB dB (combc dB nat dB (combc dB dB (fun nat dB) subst u) i) bs))))
% 267.59/267.92 True
% 267.59/267.92 Clause #54408 (by forward demodulation #[54407, 1623]): Eq
% 267.59/267.92 (listsp dB it
% 267.59/267.92 (map dB dB (combc dB nat dB lift (zero_zero nat))
% 267.59/267.92 (map dB dB (combc dB nat dB (combc dB dB (fun nat dB) subst u) i) (cons dB b bs))))
% 267.59/267.92 True
% 267.59/267.92 Clause #54409 (by superposition #[54408, 1853]): Eq True False
% 267.59/267.92 Clause #54427 (by clausification #[54409]): False
% 267.59/267.92 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------