TSTP Solution File: ALG270^5 by Duper---1.0
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% File : Duper---1.0
% Problem : ALG270^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n031.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 16:11:56 EDT 2023
% Result : Theorem 3.39s 3.61s
% Output : Proof 3.39s
% 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 : ALG270^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : duper %s
% 0.14/0.33 % Computer : n031.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Mon Aug 28 05:47:40 EDT 2023
% 0.14/0.33 % CPUTime :
% 3.39/3.61 SZS status Theorem for theBenchmark.p
% 3.39/3.61 SZS output start Proof for theBenchmark.p
% 3.39/3.61 Clause #0 (by assumption #[]): Eq
% 3.39/3.61 (Not
% 3.39/3.61 ((∀ (Xx Xy Xz : a), Eq (c_star (c_star Xx Xy) Xz) (c_star Xx (c_star Xy Xz))) →
% 3.39/3.61 ∀ (W X Y Z : a), Eq (c_star (c_star (c_star W X) Y) Z) (c_star W (c_star X (c_star Y Z)))))
% 3.39/3.61 True
% 3.39/3.61 Clause #1 (by clausification #[0]): Eq
% 3.39/3.61 ((∀ (Xx Xy Xz : a), Eq (c_star (c_star Xx Xy) Xz) (c_star Xx (c_star Xy Xz))) →
% 3.39/3.61 ∀ (W X Y Z : a), Eq (c_star (c_star (c_star W X) Y) Z) (c_star W (c_star X (c_star Y Z))))
% 3.39/3.61 False
% 3.39/3.61 Clause #2 (by clausification #[1]): Eq (∀ (Xx Xy Xz : a), Eq (c_star (c_star Xx Xy) Xz) (c_star Xx (c_star Xy Xz))) True
% 3.39/3.61 Clause #3 (by clausification #[1]): Eq (∀ (W X Y Z : a), Eq (c_star (c_star (c_star W X) Y) Z) (c_star W (c_star X (c_star Y Z)))) False
% 3.39/3.61 Clause #4 (by clausification #[2]): ∀ (a_1 : a), Eq (∀ (Xy Xz : a), Eq (c_star (c_star a_1 Xy) Xz) (c_star a_1 (c_star Xy Xz))) True
% 3.39/3.61 Clause #5 (by clausification #[4]): ∀ (a_1 a_2 : a), Eq (∀ (Xz : a), Eq (c_star (c_star a_1 a_2) Xz) (c_star a_1 (c_star a_2 Xz))) True
% 3.39/3.61 Clause #6 (by clausification #[5]): ∀ (a_1 a_2 a_3 : a), Eq (Eq (c_star (c_star a_1 a_2) a_3) (c_star a_1 (c_star a_2 a_3))) True
% 3.39/3.61 Clause #7 (by clausification #[6]): ∀ (a_1 a_2 a_3 : a), Eq (c_star (c_star a_1 a_2) a_3) (c_star a_1 (c_star a_2 a_3))
% 3.39/3.61 Clause #33 (by clausification #[3]): ∀ (a_1 : a),
% 3.39/3.61 Eq
% 3.39/3.61 (Not
% 3.39/3.61 (∀ (X Y Z : a), Eq (c_star (c_star (c_star (skS.0 0 a_1) X) Y) Z) (c_star (skS.0 0 a_1) (c_star X (c_star Y Z)))))
% 3.39/3.61 True
% 3.39/3.61 Clause #34 (by clausification #[33]): ∀ (a_1 : a),
% 3.39/3.61 Eq (∀ (X Y Z : a), Eq (c_star (c_star (c_star (skS.0 0 a_1) X) Y) Z) (c_star (skS.0 0 a_1) (c_star X (c_star Y Z))))
% 3.39/3.61 False
% 3.39/3.61 Clause #35 (by clausification #[34]): ∀ (a_1 a_2 : a),
% 3.39/3.61 Eq
% 3.39/3.61 (Not
% 3.39/3.61 (∀ (Y Z : a),
% 3.39/3.61 Eq (c_star (c_star (c_star (skS.0 0 a_1) (skS.0 1 a_1 a_2)) Y) Z)
% 3.39/3.61 (c_star (skS.0 0 a_1) (c_star (skS.0 1 a_1 a_2) (c_star Y Z)))))
% 3.39/3.61 True
% 3.39/3.61 Clause #36 (by clausification #[35]): ∀ (a_1 a_2 : a),
% 3.39/3.61 Eq
% 3.39/3.61 (∀ (Y Z : a),
% 3.39/3.61 Eq (c_star (c_star (c_star (skS.0 0 a_1) (skS.0 1 a_1 a_2)) Y) Z)
% 3.39/3.61 (c_star (skS.0 0 a_1) (c_star (skS.0 1 a_1 a_2) (c_star Y Z))))
% 3.39/3.61 False
% 3.39/3.61 Clause #37 (by clausification #[36]): ∀ (a_1 a_2 a_3 : a),
% 3.39/3.61 Eq
% 3.39/3.61 (Not
% 3.39/3.61 (∀ (Z : a),
% 3.39/3.61 Eq (c_star (c_star (c_star (skS.0 0 a_1) (skS.0 1 a_1 a_2)) (skS.0 2 a_1 a_2 a_3)) Z)
% 3.39/3.61 (c_star (skS.0 0 a_1) (c_star (skS.0 1 a_1 a_2) (c_star (skS.0 2 a_1 a_2 a_3) Z)))))
% 3.39/3.61 True
% 3.39/3.61 Clause #38 (by clausification #[37]): ∀ (a_1 a_2 a_3 : a),
% 3.39/3.61 Eq
% 3.39/3.61 (∀ (Z : a),
% 3.39/3.61 Eq (c_star (c_star (c_star (skS.0 0 a_1) (skS.0 1 a_1 a_2)) (skS.0 2 a_1 a_2 a_3)) Z)
% 3.39/3.61 (c_star (skS.0 0 a_1) (c_star (skS.0 1 a_1 a_2) (c_star (skS.0 2 a_1 a_2 a_3) Z))))
% 3.39/3.61 False
% 3.39/3.61 Clause #39 (by clausification #[38]): ∀ (a_1 a_2 a_3 a_4 : a),
% 3.39/3.61 Eq
% 3.39/3.61 (Not
% 3.39/3.61 (Eq (c_star (c_star (c_star (skS.0 0 a_1) (skS.0 1 a_1 a_2)) (skS.0 2 a_1 a_2 a_3)) (skS.0 3 a_1 a_2 a_3 a_4))
% 3.39/3.61 (c_star (skS.0 0 a_1) (c_star (skS.0 1 a_1 a_2) (c_star (skS.0 2 a_1 a_2 a_3) (skS.0 3 a_1 a_2 a_3 a_4))))))
% 3.39/3.61 True
% 3.39/3.61 Clause #40 (by clausification #[39]): ∀ (a_1 a_2 a_3 a_4 : a),
% 3.39/3.61 Eq
% 3.39/3.61 (Eq (c_star (c_star (c_star (skS.0 0 a_1) (skS.0 1 a_1 a_2)) (skS.0 2 a_1 a_2 a_3)) (skS.0 3 a_1 a_2 a_3 a_4))
% 3.39/3.61 (c_star (skS.0 0 a_1) (c_star (skS.0 1 a_1 a_2) (c_star (skS.0 2 a_1 a_2 a_3) (skS.0 3 a_1 a_2 a_3 a_4)))))
% 3.39/3.61 False
% 3.39/3.61 Clause #41 (by clausification #[40]): ∀ (a_1 a_2 a_3 a_4 : a),
% 3.39/3.61 Ne (c_star (c_star (c_star (skS.0 0 a_1) (skS.0 1 a_1 a_2)) (skS.0 2 a_1 a_2 a_3)) (skS.0 3 a_1 a_2 a_3 a_4))
% 3.39/3.61 (c_star (skS.0 0 a_1) (c_star (skS.0 1 a_1 a_2) (c_star (skS.0 2 a_1 a_2 a_3) (skS.0 3 a_1 a_2 a_3 a_4))))
% 3.39/3.61 Clause #42 (by forward demodulation #[41, 7]): ∀ (a_1 a_2 a_3 a_4 : a),
% 3.39/3.61 Ne (c_star (c_star (skS.0 0 a_1) (skS.0 1 a_1 a_2)) (c_star (skS.0 2 a_1 a_2 a_3) (skS.0 3 a_1 a_2 a_3 a_4)))
% 3.39/3.61 (c_star (skS.0 0 a_1) (c_star (skS.0 1 a_1 a_2) (c_star (skS.0 2 a_1 a_2 a_3) (skS.0 3 a_1 a_2 a_3 a_4))))
% 3.39/3.61 Clause #43 (by forward demodulation #[42, 7]): ∀ (a_1 a_2 a_3 a_4 : a),
% 3.39/3.61 Ne (c_star (skS.0 0 a_1) (c_star (skS.0 1 a_1 a_2) (c_star (skS.0 2 a_1 a_2 a_3) (skS.0 3 a_1 a_2 a_3 a_4))))
% 3.39/3.61 (c_star (skS.0 0 a_1) (c_star (skS.0 1 a_1 a_2) (c_star (skS.0 2 a_1 a_2 a_3) (skS.0 3 a_1 a_2 a_3 a_4))))
% 3.39/3.61 Clause #44 (by eliminate resolved literals #[43]): False
% 3.39/3.61 SZS output end Proof for theBenchmark.p
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