TSTP Solution File: DAT197^1 by Duper---1.0
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% File : Duper---1.0
% Problem : DAT197^1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n018.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 22:12:29 EDT 2023
% Result : Theorem 5.37s 5.57s
% Output : Proof 5.37s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : DAT197^1 : TPTP v8.1.2. Released v7.0.0.
% 0.00/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n018.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 : Thu Aug 24 14:20:12 EDT 2023
% 0.14/0.35 % CPUTime :
% 5.37/5.57 SZS status Theorem for theBenchmark.p
% 5.37/5.57 SZS output start Proof for theBenchmark.p
% 5.37/5.57 Clause #0 (by assumption #[]): Eq (coindu1486289336t_all2 a b p acca acc_a) True
% 5.37/5.57 Clause #4 (by assumption #[]): Eq
% 5.37/5.57 (∀ (A B : Type) (P : A → B → Prop) (Xs : coinductive_llist A) (Ys : coinductive_llist B),
% 5.37/5.57 coindu1486289336t_all2 A B P Xs Ys → Eq (coinductive_llength A Xs) (coinductive_llength B Ys))
% 5.37/5.57 True
% 5.37/5.57 Clause #269 (by assumption #[]): Eq (Not (Eq (coinductive_llength a acca) (coinductive_llength b acc_a))) True
% 5.37/5.57 Clause #271 (by clausification #[4]): ∀ (a : Type),
% 5.37/5.57 Eq
% 5.37/5.57 (∀ (B : Type) (P : a → B → Prop) (Xs : coinductive_llist a) (Ys : coinductive_llist B),
% 5.37/5.57 coindu1486289336t_all2 a B P Xs Ys → Eq (coinductive_llength a Xs) (coinductive_llength B Ys))
% 5.37/5.57 True
% 5.37/5.57 Clause #272 (by clausification #[271]): ∀ (a a_1 : Type),
% 5.37/5.57 Eq
% 5.37/5.57 (∀ (P : a → a_1 → Prop) (Xs : coinductive_llist a) (Ys : coinductive_llist a_1),
% 5.37/5.57 coindu1486289336t_all2 a a_1 P Xs Ys → Eq (coinductive_llength a Xs) (coinductive_llength a_1 Ys))
% 5.37/5.57 True
% 5.37/5.57 Clause #273 (by clausification #[272]): ∀ (a a_1 : Type) (a_2 : a → a_1 → Prop),
% 5.37/5.57 Eq
% 5.37/5.57 (∀ (Xs : coinductive_llist a) (Ys : coinductive_llist a_1),
% 5.37/5.57 coindu1486289336t_all2 a a_1 a_2 Xs Ys → Eq (coinductive_llength a Xs) (coinductive_llength a_1 Ys))
% 5.37/5.57 True
% 5.37/5.57 Clause #274 (by clausification #[273]): ∀ (a a_1 : Type) (a_2 : a_1 → a → Prop) (a_3 : coinductive_llist a_1),
% 5.37/5.57 Eq
% 5.37/5.57 (∀ (Ys : coinductive_llist a),
% 5.37/5.57 coindu1486289336t_all2 a_1 a a_2 a_3 Ys → Eq (coinductive_llength a_1 a_3) (coinductive_llength a Ys))
% 5.37/5.57 True
% 5.37/5.57 Clause #275 (by clausification #[274]): ∀ (a a_1 : Type) (a_2 : a → a_1 → Prop) (a_3 : coinductive_llist a) (a_4 : coinductive_llist a_1),
% 5.37/5.57 Eq (coindu1486289336t_all2 a a_1 a_2 a_3 a_4 → Eq (coinductive_llength a a_3) (coinductive_llength a_1 a_4)) True
% 5.37/5.57 Clause #276 (by clausification #[275]): ∀ (a a_1 : Type) (a_2 : a → a_1 → Prop) (a_3 : coinductive_llist a) (a_4 : coinductive_llist a_1),
% 5.37/5.57 Or (Eq (coindu1486289336t_all2 a a_1 a_2 a_3 a_4) False)
% 5.37/5.57 (Eq (Eq (coinductive_llength a a_3) (coinductive_llength a_1 a_4)) True)
% 5.37/5.57 Clause #277 (by clausification #[276]): ∀ (a a_1 : Type) (a_2 : a → a_1 → Prop) (a_3 : coinductive_llist a) (a_4 : coinductive_llist a_1),
% 5.37/5.57 Or (Eq (coindu1486289336t_all2 a a_1 a_2 a_3 a_4) False)
% 5.37/5.57 (Eq (coinductive_llength a a_3) (coinductive_llength a_1 a_4))
% 5.37/5.57 Clause #278 (by superposition #[277, 0]): Or (Eq (coinductive_llength a acca) (coinductive_llength b acc_a)) (Eq False True)
% 5.37/5.57 Clause #291 (by clausification #[278]): Eq (coinductive_llength a acca) (coinductive_llength b acc_a)
% 5.37/5.57 Clause #1026 (by clausification #[269]): Eq (Eq (coinductive_llength a acca) (coinductive_llength b acc_a)) False
% 5.37/5.57 Clause #1027 (by clausification #[1026]): Ne (coinductive_llength a acca) (coinductive_llength b acc_a)
% 5.37/5.57 Clause #1028 (by forward demodulation #[1027, 291]): Ne (coinductive_llength a acca) (coinductive_llength a acca)
% 5.37/5.57 Clause #1029 (by eliminate resolved literals #[1028]): False
% 5.37/5.57 SZS output end Proof for theBenchmark.p
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