TSTP Solution File: DAT315^1 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : DAT315^1 : 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 22:12:46 EDT 2023
% Result : Theorem 3.39s 3.69s
% Output : Proof 3.39s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : DAT315^1 : TPTP v8.1.2. Released v7.0.0.
% 0.12/0.13 % Command : duper %s
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Aug 24 14:32:45 EDT 2023
% 0.12/0.34 % CPUTime :
% 3.39/3.69 SZS status Theorem for theBenchmark.p
% 3.39/3.69 SZS output start Proof for theBenchmark.p
% 3.39/3.69 Clause #0 (by assumption #[]): Eq
% 3.39/3.69 (∀ (A : Type) (A0 : «type/nums/num») (A1 : «type/ind_types/list» A),
% 3.39/3.69 Eq («const/lists/EL» A («const/nums/SUC» A0) A1) («const/lists/EL» A A0 («const/lists/TL» A A1)))
% 3.39/3.69 True
% 3.39/3.69 Clause #1 (by assumption #[]): Eq
% 3.39/3.69 (∀ (A : «type/nums/num»),
% 3.39/3.69 Eq («const/nums/SUC» A) («const/arith/+» A («const/nums/NUMERAL» («const/nums/BIT1» «const/nums/_0»))))
% 3.39/3.69 True
% 3.39/3.69 Clause #2 (by assumption #[]): Eq
% 3.39/3.69 (Not
% 3.39/3.69 (∀ (A : Type) (A0 : «type/ind_types/list» A) (A1 : «type/nums/num»),
% 3.39/3.69 Eq («const/lists/EL» A A1 («const/lists/TL» A A0))
% 3.39/3.69 («const/lists/EL» A («const/arith/+» A1 («const/nums/NUMERAL» («const/nums/BIT1» «const/nums/_0»))) A0)))
% 3.39/3.69 True
% 3.39/3.69 Clause #3 (by clausification #[1]): ∀ (a : «type/nums/num»),
% 3.39/3.69 Eq (Eq («const/nums/SUC» a) («const/arith/+» a («const/nums/NUMERAL» («const/nums/BIT1» «const/nums/_0»)))) True
% 3.39/3.69 Clause #4 (by clausification #[3]): ∀ (a : «type/nums/num»),
% 3.39/3.69 Eq («const/nums/SUC» a) («const/arith/+» a («const/nums/NUMERAL» («const/nums/BIT1» «const/nums/_0»)))
% 3.39/3.69 Clause #5 (by clausification #[0]): ∀ (a : Type),
% 3.39/3.69 Eq
% 3.39/3.69 (∀ (A0 : «type/nums/num») (A1 : «type/ind_types/list» a),
% 3.39/3.69 Eq («const/lists/EL» a («const/nums/SUC» A0) A1) («const/lists/EL» a A0 («const/lists/TL» a A1)))
% 3.39/3.69 True
% 3.39/3.69 Clause #6 (by clausification #[5]): ∀ (a : Type) (a_1 : «type/nums/num»),
% 3.39/3.69 Eq
% 3.39/3.69 (∀ (A1 : «type/ind_types/list» a),
% 3.39/3.69 Eq («const/lists/EL» a («const/nums/SUC» a_1) A1) («const/lists/EL» a a_1 («const/lists/TL» a A1)))
% 3.39/3.69 True
% 3.39/3.69 Clause #7 (by clausification #[6]): ∀ (a : Type) (a_1 : «type/nums/num») (a_2 : «type/ind_types/list» a),
% 3.39/3.69 Eq (Eq («const/lists/EL» a («const/nums/SUC» a_1) a_2) («const/lists/EL» a a_1 («const/lists/TL» a a_2))) True
% 3.39/3.69 Clause #8 (by clausification #[7]): ∀ (a : Type) (a_1 : «type/nums/num») (a_2 : «type/ind_types/list» a),
% 3.39/3.69 Eq («const/lists/EL» a («const/nums/SUC» a_1) a_2) («const/lists/EL» a a_1 («const/lists/TL» a a_2))
% 3.39/3.69 Clause #9 (by clausification #[2]): Eq
% 3.39/3.69 (∀ (A : Type) (A0 : «type/ind_types/list» A) (A1 : «type/nums/num»),
% 3.39/3.69 Eq («const/lists/EL» A A1 («const/lists/TL» A A0))
% 3.39/3.69 («const/lists/EL» A («const/arith/+» A1 («const/nums/NUMERAL» («const/nums/BIT1» «const/nums/_0»))) A0))
% 3.39/3.69 False
% 3.39/3.69 Clause #10 (by clausification #[9]): ∀ (a : Type),
% 3.39/3.69 Eq
% 3.39/3.69 (Not
% 3.39/3.69 (∀ (A0 : «type/ind_types/list» (skS.0 0 a)) (A1 : «type/nums/num»),
% 3.39/3.69 Eq («const/lists/EL» (skS.0 0 a) A1 («const/lists/TL» (skS.0 0 a) A0))
% 3.39/3.69 («const/lists/EL» (skS.0 0 a) («const/arith/+» A1 («const/nums/NUMERAL» («const/nums/BIT1» «const/nums/_0»)))
% 3.39/3.69 A0)))
% 3.39/3.69 True
% 3.39/3.69 Clause #11 (by clausification #[10]): ∀ (a : Type),
% 3.39/3.69 Eq
% 3.39/3.69 (∀ (A0 : «type/ind_types/list» (skS.0 0 a)) (A1 : «type/nums/num»),
% 3.39/3.69 Eq («const/lists/EL» (skS.0 0 a) A1 («const/lists/TL» (skS.0 0 a) A0))
% 3.39/3.69 («const/lists/EL» (skS.0 0 a) («const/arith/+» A1 («const/nums/NUMERAL» («const/nums/BIT1» «const/nums/_0»)))
% 3.39/3.69 A0))
% 3.39/3.69 False
% 3.39/3.69 Clause #12 (by clausification #[11]): ∀ (a : Type) (a_1 : «type/ind_types/list» (skS.0 0 a)),
% 3.39/3.69 Eq
% 3.39/3.69 (Not
% 3.39/3.69 (∀ (A1 : «type/nums/num»),
% 3.39/3.69 Eq («const/lists/EL» (skS.0 0 a) A1 («const/lists/TL» (skS.0 0 a) (skS.0 1 a a_1)))
% 3.39/3.69 («const/lists/EL» (skS.0 0 a) («const/arith/+» A1 («const/nums/NUMERAL» («const/nums/BIT1» «const/nums/_0»)))
% 3.39/3.69 (skS.0 1 a a_1))))
% 3.39/3.69 True
% 3.39/3.69 Clause #13 (by clausification #[12]): ∀ (a : Type) (a_1 : «type/ind_types/list» (skS.0 0 a)),
% 3.39/3.69 Eq
% 3.39/3.69 (∀ (A1 : «type/nums/num»),
% 3.39/3.69 Eq («const/lists/EL» (skS.0 0 a) A1 («const/lists/TL» (skS.0 0 a) (skS.0 1 a a_1)))
% 3.39/3.69 («const/lists/EL» (skS.0 0 a) («const/arith/+» A1 («const/nums/NUMERAL» («const/nums/BIT1» «const/nums/_0»)))
% 3.39/3.69 (skS.0 1 a a_1)))
% 3.39/3.69 False
% 3.39/3.69 Clause #14 (by clausification #[13]): ∀ (a : Type) (a_1 : «type/ind_types/list» (skS.0 0 a)) (a_2 : «type/nums/num»),
% 3.39/3.70 Eq
% 3.39/3.70 (Not
% 3.39/3.70 (Eq («const/lists/EL» (skS.0 0 a) (skS.0 2 a a_1 a_2) («const/lists/TL» (skS.0 0 a) (skS.0 1 a a_1)))
% 3.39/3.70 («const/lists/EL» (skS.0 0 a)
% 3.39/3.70 («const/arith/+» (skS.0 2 a a_1 a_2) («const/nums/NUMERAL» («const/nums/BIT1» «const/nums/_0»)))
% 3.39/3.70 (skS.0 1 a a_1))))
% 3.39/3.70 True
% 3.39/3.70 Clause #15 (by clausification #[14]): ∀ (a : Type) (a_1 : «type/ind_types/list» (skS.0 0 a)) (a_2 : «type/nums/num»),
% 3.39/3.70 Eq
% 3.39/3.70 (Eq («const/lists/EL» (skS.0 0 a) (skS.0 2 a a_1 a_2) («const/lists/TL» (skS.0 0 a) (skS.0 1 a a_1)))
% 3.39/3.70 («const/lists/EL» (skS.0 0 a)
% 3.39/3.70 («const/arith/+» (skS.0 2 a a_1 a_2) («const/nums/NUMERAL» («const/nums/BIT1» «const/nums/_0»)))
% 3.39/3.70 (skS.0 1 a a_1)))
% 3.39/3.70 False
% 3.39/3.70 Clause #16 (by clausification #[15]): ∀ (a : Type) (a_1 : «type/ind_types/list» (skS.0 0 a)) (a_2 : «type/nums/num»),
% 3.39/3.70 Ne («const/lists/EL» (skS.0 0 a) (skS.0 2 a a_1 a_2) («const/lists/TL» (skS.0 0 a) (skS.0 1 a a_1)))
% 3.39/3.70 («const/lists/EL» (skS.0 0 a)
% 3.39/3.70 («const/arith/+» (skS.0 2 a a_1 a_2) («const/nums/NUMERAL» («const/nums/BIT1» «const/nums/_0»))) (skS.0 1 a a_1))
% 3.39/3.70 Clause #17 (by forward demodulation #[16, 8]): ∀ (a : Type) (a_1 : «type/ind_types/list» (skS.0 0 a)) (a_2 : «type/nums/num»),
% 3.39/3.70 Ne («const/lists/EL» (skS.0 0 a) («const/nums/SUC» (skS.0 2 a a_1 a_2)) (skS.0 1 a a_1))
% 3.39/3.70 («const/lists/EL» (skS.0 0 a)
% 3.39/3.70 («const/arith/+» (skS.0 2 a a_1 a_2) («const/nums/NUMERAL» («const/nums/BIT1» «const/nums/_0»))) (skS.0 1 a a_1))
% 3.39/3.70 Clause #18 (by forward demodulation #[17, 4]): ∀ (a : Type) (a_1 : «type/ind_types/list» (skS.0 0 a)) (a_2 : «type/nums/num»),
% 3.39/3.70 Ne («const/lists/EL» (skS.0 0 a) («const/nums/SUC» (skS.0 2 a a_1 a_2)) (skS.0 1 a a_1))
% 3.39/3.70 («const/lists/EL» (skS.0 0 a) («const/nums/SUC» (skS.0 2 a a_1 a_2)) (skS.0 1 a a_1))
% 3.39/3.70 Clause #19 (by eliminate resolved literals #[18]): False
% 3.39/3.70 SZS output end Proof for theBenchmark.p
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