TSTP Solution File: DAT121^1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : DAT121^1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n027.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 22:12:17 EDT 2023
% Result : Theorem 13.38s 13.57s
% Output : Proof 13.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : DAT121^1 : TPTP v8.1.2. Released v7.0.0.
% 0.13/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 14:47:48 EDT 2023
% 0.13/0.34 % CPUTime :
% 13.38/13.57 SZS status Theorem for theBenchmark.p
% 13.38/13.57 SZS output start Proof for theBenchmark.p
% 13.38/13.57 Clause #4 (by assumption #[]): Eq
% 13.38/13.57 (∀ (A : Type) (N : extended_enat) (Xs : coindu1593790203_llist A),
% 13.38/13.57 Eq (coindu335574135_lnull A (coindu191418589_ldrop A N Xs))
% 13.38/13.57 (ord_less_eq extended_enat (coindu1018505716length A Xs) N))
% 13.38/13.57 True
% 13.38/13.57 Clause #21 (by assumption #[]): Eq
% 13.38/13.57 (∀ (A : Type) (Llist2 : coindu1593790203_llist A),
% 13.38/13.57 coindu335574135_lnull A Llist2 → Eq Llist2 (coindu1598213697e_LNil A))
% 13.38/13.57 True
% 13.38/13.57 Clause #333 (by assumption #[]): Eq (ord_less_eq extended_enat (coindu1018505716length a xs) m) True
% 13.38/13.57 Clause #334 (by assumption #[]): Eq (Not (Eq (coindu191418589_ldrop a m xs) (coindu1598213697e_LNil a))) True
% 13.38/13.57 Clause #367 (by clausification #[4]): ∀ (a : Type),
% 13.38/13.57 Eq
% 13.38/13.57 (∀ (N : extended_enat) (Xs : coindu1593790203_llist a),
% 13.38/13.57 Eq (coindu335574135_lnull a (coindu191418589_ldrop a N Xs))
% 13.38/13.57 (ord_less_eq extended_enat (coindu1018505716length a Xs) N))
% 13.38/13.57 True
% 13.38/13.57 Clause #368 (by clausification #[367]): ∀ (a : Type) (a_1 : extended_enat),
% 13.38/13.57 Eq
% 13.38/13.57 (∀ (Xs : coindu1593790203_llist a),
% 13.38/13.57 Eq (coindu335574135_lnull a (coindu191418589_ldrop a a_1 Xs))
% 13.38/13.57 (ord_less_eq extended_enat (coindu1018505716length a Xs) a_1))
% 13.38/13.57 True
% 13.38/13.57 Clause #369 (by clausification #[368]): ∀ (a : Type) (a_1 : extended_enat) (a_2 : coindu1593790203_llist a),
% 13.38/13.57 Eq
% 13.38/13.57 (Eq (coindu335574135_lnull a (coindu191418589_ldrop a a_1 a_2))
% 13.38/13.57 (ord_less_eq extended_enat (coindu1018505716length a a_2) a_1))
% 13.38/13.57 True
% 13.38/13.57 Clause #370 (by clausification #[369]): ∀ (a : Type) (a_1 : extended_enat) (a_2 : coindu1593790203_llist a),
% 13.38/13.57 Eq (coindu335574135_lnull a (coindu191418589_ldrop a a_1 a_2))
% 13.38/13.57 (ord_less_eq extended_enat (coindu1018505716length a a_2) a_1)
% 13.38/13.57 Clause #1091 (by superposition #[333, 370]): Eq (coindu335574135_lnull a (coindu191418589_ldrop a m xs)) True
% 13.38/13.57 Clause #1158 (by clausification #[21]): ∀ (a : Type),
% 13.38/13.57 Eq (∀ (Llist2 : coindu1593790203_llist a), coindu335574135_lnull a Llist2 → Eq Llist2 (coindu1598213697e_LNil a)) True
% 13.38/13.57 Clause #1159 (by clausification #[1158]): ∀ (a : Type) (a_1 : coindu1593790203_llist a), Eq (coindu335574135_lnull a a_1 → Eq a_1 (coindu1598213697e_LNil a)) True
% 13.38/13.57 Clause #1160 (by clausification #[1159]): ∀ (a : Type) (a_1 : coindu1593790203_llist a),
% 13.38/13.57 Or (Eq (coindu335574135_lnull a a_1) False) (Eq (Eq a_1 (coindu1598213697e_LNil a)) True)
% 13.38/13.57 Clause #1161 (by clausification #[1160]): ∀ (a : Type) (a_1 : coindu1593790203_llist a),
% 13.38/13.57 Or (Eq (coindu335574135_lnull a a_1) False) (Eq a_1 (coindu1598213697e_LNil a))
% 13.38/13.57 Clause #1162 (by superposition #[1161, 1091]): Or (Eq (coindu191418589_ldrop a m xs) (coindu1598213697e_LNil a)) (Eq False True)
% 13.38/13.57 Clause #1168 (by clausification #[1162]): Eq (coindu191418589_ldrop a m xs) (coindu1598213697e_LNil a)
% 13.38/13.57 Clause #5416 (by clausification #[334]): Eq (Eq (coindu191418589_ldrop a m xs) (coindu1598213697e_LNil a)) False
% 13.38/13.57 Clause #5417 (by clausification #[5416]): Ne (coindu191418589_ldrop a m xs) (coindu1598213697e_LNil a)
% 13.38/13.57 Clause #5418 (by forward demodulation #[5417, 1168]): Ne (coindu1598213697e_LNil a) (coindu1598213697e_LNil a)
% 13.38/13.57 Clause #5419 (by eliminate resolved literals #[5418]): False
% 13.38/13.57 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------