TSTP Solution File: DAT280^1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : DAT280^1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n020.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 22:12:41 EDT 2023
% Result : Theorem 3.37s 3.56s
% Output : Proof 3.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : DAT280^1 : TPTP v8.1.2. Released v7.0.0.
% 0.00/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n020.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 14:51:00 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.37/3.56 SZS status Theorem for theBenchmark.p
% 3.37/3.56 SZS output start Proof for theBenchmark.p
% 3.37/3.56 Clause #0 (by assumption #[]): Eq
% 3.37/3.56 (∀ (A A0 A1 : Type) (A2 : A → A0 → A1 → A1) (A3 : «type/ind_types/list» A0) (A4 : A1),
% 3.37/3.56 Eq («const/lists/ITLIST2» A A0 A1 A2 («const/ind_types/NIL» A) A3 A4) A4)
% 3.37/3.56 True
% 3.37/3.56 Clause #1 (by assumption #[]): Eq
% 3.37/3.56 (Not
% 3.37/3.56 (∀ (A A0 A1 : Type) (A2 : A → A0 → A1 → A1) (A3 : A1),
% 3.37/3.56 Eq («const/lists/ITLIST2» A A0 A1 A2 («const/ind_types/NIL» A) («const/ind_types/NIL» A0) A3) A3))
% 3.37/3.56 True
% 3.37/3.56 Clause #2 (by clausification #[0]): ∀ (a : Type),
% 3.37/3.56 Eq
% 3.37/3.56 (∀ (A0 A1 : Type) (A2 : a → A0 → A1 → A1) (A3 : «type/ind_types/list» A0) (A4 : A1),
% 3.37/3.56 Eq («const/lists/ITLIST2» a A0 A1 A2 («const/ind_types/NIL» a) A3 A4) A4)
% 3.37/3.56 True
% 3.37/3.56 Clause #3 (by clausification #[2]): ∀ (a a_1 : Type),
% 3.37/3.56 Eq
% 3.37/3.56 (∀ (A1 : Type) (A2 : a → a_1 → A1 → A1) (A3 : «type/ind_types/list» a_1) (A4 : A1),
% 3.37/3.56 Eq («const/lists/ITLIST2» a a_1 A1 A2 («const/ind_types/NIL» a) A3 A4) A4)
% 3.37/3.56 True
% 3.37/3.56 Clause #4 (by clausification #[3]): ∀ (a a_1 a_2 : Type),
% 3.37/3.56 Eq
% 3.37/3.56 (∀ (A2 : a → a_1 → a_2 → a_2) (A3 : «type/ind_types/list» a_1) (A4 : a_2),
% 3.37/3.56 Eq («const/lists/ITLIST2» a a_1 a_2 A2 («const/ind_types/NIL» a) A3 A4) A4)
% 3.37/3.56 True
% 3.37/3.56 Clause #5 (by clausification #[4]): ∀ (a a_1 a_2 : Type) (a_3 : a_2 → a → a_1 → a_1),
% 3.37/3.56 Eq
% 3.37/3.56 (∀ (A3 : «type/ind_types/list» a) (A4 : a_1),
% 3.37/3.56 Eq («const/lists/ITLIST2» a_2 a a_1 a_3 («const/ind_types/NIL» a_2) A3 A4) A4)
% 3.37/3.56 True
% 3.37/3.56 Clause #6 (by clausification #[5]): ∀ (a a_1 a_2 : Type) (a_3 : a_1 → a_2 → a → a) (a_4 : «type/ind_types/list» a_2),
% 3.37/3.56 Eq (∀ (A4 : a), Eq («const/lists/ITLIST2» a_1 a_2 a a_3 («const/ind_types/NIL» a_1) a_4 A4) A4) True
% 3.37/3.56 Clause #7 (by clausification #[6]): ∀ (a a_1 a_2 : Type) (a_3 : a_1 → a_2 → a → a) (a_4 : «type/ind_types/list» a_2) (a_5 : a),
% 3.37/3.56 Eq (Eq («const/lists/ITLIST2» a_1 a_2 a a_3 («const/ind_types/NIL» a_1) a_4 a_5) a_5) True
% 3.37/3.56 Clause #8 (by clausification #[7]): ∀ (a a_1 a_2 : Type) (a_3 : a_1 → a_2 → a → a) (a_4 : «type/ind_types/list» a_2) (a_5 : a),
% 3.37/3.56 Eq («const/lists/ITLIST2» a_1 a_2 a a_3 («const/ind_types/NIL» a_1) a_4 a_5) a_5
% 3.37/3.56 Clause #9 (by clausification #[1]): Eq
% 3.37/3.56 (∀ (A A0 A1 : Type) (A2 : A → A0 → A1 → A1) (A3 : A1),
% 3.37/3.56 Eq («const/lists/ITLIST2» A A0 A1 A2 («const/ind_types/NIL» A) («const/ind_types/NIL» A0) A3) A3)
% 3.37/3.56 False
% 3.37/3.56 Clause #10 (by clausification #[9]): ∀ (a : Type),
% 3.37/3.56 Eq
% 3.37/3.56 (Not
% 3.37/3.56 (∀ (A0 A1 : Type) (A2 : skS.0 0 a → A0 → A1 → A1) (A3 : A1),
% 3.37/3.56 Eq
% 3.37/3.56 («const/lists/ITLIST2» (skS.0 0 a) A0 A1 A2 («const/ind_types/NIL» (skS.0 0 a)) («const/ind_types/NIL» A0) A3)
% 3.37/3.56 A3))
% 3.37/3.56 True
% 3.37/3.56 Clause #11 (by clausification #[10]): ∀ (a : Type),
% 3.37/3.56 Eq
% 3.37/3.56 (∀ (A0 A1 : Type) (A2 : skS.0 0 a → A0 → A1 → A1) (A3 : A1),
% 3.37/3.56 Eq («const/lists/ITLIST2» (skS.0 0 a) A0 A1 A2 («const/ind_types/NIL» (skS.0 0 a)) («const/ind_types/NIL» A0) A3)
% 3.37/3.56 A3)
% 3.37/3.56 False
% 3.37/3.56 Clause #12 (by clausification #[11]): ∀ (a a_1 : Type),
% 3.37/3.56 Eq
% 3.37/3.56 (Not
% 3.37/3.56 (∀ (A1 : Type) (A2 : skS.0 0 a → skS.0 1 a a_1 → A1 → A1) (A3 : A1),
% 3.37/3.56 Eq
% 3.37/3.56 («const/lists/ITLIST2» (skS.0 0 a) (skS.0 1 a a_1) A1 A2 («const/ind_types/NIL» (skS.0 0 a))
% 3.37/3.56 («const/ind_types/NIL» (skS.0 1 a a_1)) A3)
% 3.37/3.56 A3))
% 3.37/3.56 True
% 3.37/3.56 Clause #13 (by clausification #[12]): ∀ (a a_1 : Type),
% 3.37/3.56 Eq
% 3.37/3.56 (∀ (A1 : Type) (A2 : skS.0 0 a → skS.0 1 a a_1 → A1 → A1) (A3 : A1),
% 3.37/3.56 Eq
% 3.37/3.56 («const/lists/ITLIST2» (skS.0 0 a) (skS.0 1 a a_1) A1 A2 («const/ind_types/NIL» (skS.0 0 a))
% 3.37/3.56 («const/ind_types/NIL» (skS.0 1 a a_1)) A3)
% 3.37/3.56 A3)
% 3.37/3.56 False
% 3.37/3.56 Clause #14 (by clausification #[13]): ∀ (a a_1 a_2 : Type),
% 3.37/3.56 Eq
% 3.37/3.56 (Not
% 3.37/3.56 (∀ (A2 : skS.0 0 a → skS.0 1 a a_1 → skS.0 2 a a_1 a_2 → skS.0 2 a a_1 a_2) (A3 : skS.0 2 a a_1 a_2),
% 3.37/3.56 Eq
% 3.37/3.56 («const/lists/ITLIST2» (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2) A2 («const/ind_types/NIL» (skS.0 0 a))
% 3.37/3.56 («const/ind_types/NIL» (skS.0 1 a a_1)) A3)
% 3.37/3.58 A3))
% 3.37/3.58 True
% 3.37/3.58 Clause #15 (by clausification #[14]): ∀ (a a_1 a_2 : Type),
% 3.37/3.58 Eq
% 3.37/3.58 (∀ (A2 : skS.0 0 a → skS.0 1 a a_1 → skS.0 2 a a_1 a_2 → skS.0 2 a a_1 a_2) (A3 : skS.0 2 a a_1 a_2),
% 3.37/3.58 Eq
% 3.37/3.58 («const/lists/ITLIST2» (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2) A2 («const/ind_types/NIL» (skS.0 0 a))
% 3.37/3.58 («const/ind_types/NIL» (skS.0 1 a a_1)) A3)
% 3.37/3.58 A3)
% 3.37/3.58 False
% 3.37/3.58 Clause #16 (by clausification #[15]): ∀ (a a_1 a_2 : Type) (a_3 : skS.0 0 a → skS.0 1 a a_1 → skS.0 2 a a_1 a_2 → skS.0 2 a a_1 a_2),
% 3.37/3.58 Eq
% 3.37/3.58 (Not
% 3.37/3.58 (∀ (A3 : skS.0 2 a a_1 a_2),
% 3.37/3.58 Eq
% 3.37/3.58 («const/lists/ITLIST2» (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)
% 3.37/3.58 («const/ind_types/NIL» (skS.0 0 a)) («const/ind_types/NIL» (skS.0 1 a a_1)) A3)
% 3.37/3.58 A3))
% 3.37/3.58 True
% 3.37/3.58 Clause #17 (by clausification #[16]): ∀ (a a_1 a_2 : Type) (a_3 : skS.0 0 a → skS.0 1 a a_1 → skS.0 2 a a_1 a_2 → skS.0 2 a a_1 a_2),
% 3.37/3.58 Eq
% 3.37/3.58 (∀ (A3 : skS.0 2 a a_1 a_2),
% 3.37/3.58 Eq
% 3.37/3.58 («const/lists/ITLIST2» (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)
% 3.37/3.58 («const/ind_types/NIL» (skS.0 0 a)) («const/ind_types/NIL» (skS.0 1 a a_1)) A3)
% 3.37/3.58 A3)
% 3.37/3.58 False
% 3.37/3.58 Clause #18 (by clausification #[17]): ∀ (a a_1 a_2 : Type) (a_3 : skS.0 0 a → skS.0 1 a a_1 → skS.0 2 a a_1 a_2 → skS.0 2 a a_1 a_2)
% 3.37/3.58 (a_4 : skS.0 2 a a_1 a_2),
% 3.37/3.58 Eq
% 3.37/3.58 (Not
% 3.37/3.58 (Eq
% 3.37/3.58 («const/lists/ITLIST2» (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)
% 3.37/3.58 («const/ind_types/NIL» (skS.0 0 a)) («const/ind_types/NIL» (skS.0 1 a a_1)) (skS.0 4 a a_1 a_2 a_3 a_4))
% 3.37/3.58 (skS.0 4 a a_1 a_2 a_3 a_4)))
% 3.37/3.58 True
% 3.37/3.58 Clause #19 (by clausification #[18]): ∀ (a a_1 a_2 : Type) (a_3 : skS.0 0 a → skS.0 1 a a_1 → skS.0 2 a a_1 a_2 → skS.0 2 a a_1 a_2)
% 3.37/3.58 (a_4 : skS.0 2 a a_1 a_2),
% 3.37/3.58 Eq
% 3.37/3.58 (Eq
% 3.37/3.58 («const/lists/ITLIST2» (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)
% 3.37/3.58 («const/ind_types/NIL» (skS.0 0 a)) («const/ind_types/NIL» (skS.0 1 a a_1)) (skS.0 4 a a_1 a_2 a_3 a_4))
% 3.37/3.58 (skS.0 4 a a_1 a_2 a_3 a_4))
% 3.37/3.58 False
% 3.37/3.58 Clause #20 (by clausification #[19]): ∀ (a a_1 a_2 : Type) (a_3 : skS.0 0 a → skS.0 1 a a_1 → skS.0 2 a a_1 a_2 → skS.0 2 a a_1 a_2)
% 3.37/3.58 (a_4 : skS.0 2 a a_1 a_2),
% 3.37/3.58 Ne
% 3.37/3.58 («const/lists/ITLIST2» (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)
% 3.37/3.58 («const/ind_types/NIL» (skS.0 0 a)) («const/ind_types/NIL» (skS.0 1 a a_1)) (skS.0 4 a a_1 a_2 a_3 a_4))
% 3.37/3.58 (skS.0 4 a a_1 a_2 a_3 a_4)
% 3.37/3.58 Clause #21 (by forward demodulation #[20, 8]): ∀ (a a_1 a_2 : Type) (a_3 : skS.0 0 a → skS.0 1 a a_1 → skS.0 2 a a_1 a_2 → skS.0 2 a a_1 a_2)
% 3.37/3.58 (a_4 : skS.0 2 a a_1 a_2), Ne (skS.0 4 a a_1 a_2 a_3 a_4) (skS.0 4 a a_1 a_2 a_3 a_4)
% 3.37/3.58 Clause #22 (by eliminate resolved literals #[21]): False
% 3.37/3.58 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------