TSTP Solution File: DAT124^1 by Duper---1.0
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% File : Duper---1.0
% Problem : DAT124^1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n022.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 : Wed Aug 30 22:12:18 EDT 2023
% Result : Theorem 8.33s 8.54s
% Output : Proof 8.33s
% 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 : DAT124^1 : TPTP v8.1.2. Released v7.0.0.
% 0.00/0.13 % Command : duper %s
% 0.16/0.34 % Computer : n022.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Thu Aug 24 13:53:26 EDT 2023
% 0.16/0.34 % CPUTime :
% 8.33/8.54 SZS status Theorem for theBenchmark.p
% 8.33/8.54 SZS output start Proof for theBenchmark.p
% 8.33/8.54 Clause #0 (by assumption #[]): Eq (Not (ord_less_eq extended_enat (coindu1018505716length a ys) (coindu1018505716length a xs))) True
% 8.33/8.54 Clause #125 (by assumption #[]): Eq (∀ (A : Type), linorder A (type2 A) → ∀ (Y X3 : A), Not (ord_less_eq A Y X3) → ord_less A X3 Y) True
% 8.33/8.54 Clause #251 (by assumption #[]): Eq (linorder extended_enat (type2 extended_enat)) True
% 8.33/8.54 Clause #254 (by assumption #[]): Eq (Not (ord_less extended_enat (coindu1018505716length a xs) (coindu1018505716length a ys))) True
% 8.33/8.54 Clause #255 (by clausification #[0]): Eq (ord_less_eq extended_enat (coindu1018505716length a ys) (coindu1018505716length a xs)) False
% 8.33/8.54 Clause #587 (by clausification #[254]): Eq (ord_less extended_enat (coindu1018505716length a xs) (coindu1018505716length a ys)) False
% 8.33/8.54 Clause #588 (by clausification #[125]): ∀ (a : Type), Eq (linorder a (type2 a) → ∀ (Y X3 : a), Not (ord_less_eq a Y X3) → ord_less a X3 Y) True
% 8.33/8.54 Clause #589 (by clausification #[588]): ∀ (a : Type), Or (Eq (linorder a (type2 a)) False) (Eq (∀ (Y X3 : a), Not (ord_less_eq a Y X3) → ord_less a X3 Y) True)
% 8.33/8.54 Clause #590 (by clausification #[589]): ∀ (a : Type) (a_1 : a),
% 8.33/8.54 Or (Eq (linorder a (type2 a)) False) (Eq (∀ (X3 : a), Not (ord_less_eq a a_1 X3) → ord_less a X3 a_1) True)
% 8.33/8.54 Clause #591 (by clausification #[590]): ∀ (a : Type) (a_1 a_2 : a),
% 8.33/8.54 Or (Eq (linorder a (type2 a)) False) (Eq (Not (ord_less_eq a a_1 a_2) → ord_less a a_2 a_1) True)
% 8.33/8.54 Clause #592 (by clausification #[591]): ∀ (a : Type) (a_1 a_2 : a),
% 8.33/8.54 Or (Eq (linorder a (type2 a)) False) (Or (Eq (Not (ord_less_eq a a_1 a_2)) False) (Eq (ord_less a a_2 a_1) True))
% 8.33/8.54 Clause #593 (by clausification #[592]): ∀ (a : Type) (a_1 a_2 : a),
% 8.33/8.54 Or (Eq (linorder a (type2 a)) False) (Or (Eq (ord_less a a_1 a_2) True) (Eq (ord_less_eq a a_2 a_1) True))
% 8.33/8.54 Clause #594 (by superposition #[593, 251]): ∀ (a a_1 : extended_enat),
% 8.33/8.54 Or (Eq (ord_less extended_enat a a_1) True) (Or (Eq (ord_less_eq extended_enat a_1 a) True) (Eq False True))
% 8.33/8.54 Clause #1617 (by clausification #[594]): ∀ (a a_1 : extended_enat), Or (Eq (ord_less extended_enat a a_1) True) (Eq (ord_less_eq extended_enat a_1 a) True)
% 8.33/8.54 Clause #1618 (by superposition #[1617, 255]): Or (Eq (ord_less extended_enat (coindu1018505716length a xs) (coindu1018505716length a ys)) True) (Eq True False)
% 8.33/8.54 Clause #1626 (by clausification #[1618]): Eq (ord_less extended_enat (coindu1018505716length a xs) (coindu1018505716length a ys)) True
% 8.33/8.54 Clause #1627 (by superposition #[1626, 587]): Eq True False
% 8.33/8.54 Clause #1636 (by clausification #[1627]): False
% 8.33/8.54 SZS output end Proof for theBenchmark.p
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