TSTP Solution File: ALG281^5 by Duper---1.0
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% File : Duper---1.0
% Problem : ALG281^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n021.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 16:11:58 EDT 2023
% Result : Theorem 3.73s 3.94s
% Output : Proof 3.73s
% 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 : ALG281^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : duper %s
% 0.17/0.34 % Computer : n021.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Mon Aug 28 05:16:13 EDT 2023
% 0.17/0.35 % CPUTime :
% 3.73/3.94 SZS status Theorem for theBenchmark.p
% 3.73/3.94 SZS output start Proof for theBenchmark.p
% 3.73/3.94 Clause #0 (by assumption #[]): Eq
% 3.73/3.94 (Not
% 3.73/3.94 (And (And (∀ (Xx Xy Xz : Iota), Eq (cP (cP Xx Xy) Xz) (cP Xx (cP Xy Xz))) (∀ (Xx : Iota), Eq (cP cE Xx) Xx))
% 3.73/3.94 (∀ (Xy : Iota), Eq (cP (cJ Xy) Xy) cE) →
% 3.73/3.94 ∀ (X : Iota), Eq (cP X (cJ X)) cE))
% 3.73/3.94 True
% 3.73/3.94 Clause #1 (by clausification #[0]): Eq
% 3.73/3.94 (And (And (∀ (Xx Xy Xz : Iota), Eq (cP (cP Xx Xy) Xz) (cP Xx (cP Xy Xz))) (∀ (Xx : Iota), Eq (cP cE Xx) Xx))
% 3.73/3.94 (∀ (Xy : Iota), Eq (cP (cJ Xy) Xy) cE) →
% 3.73/3.94 ∀ (X : Iota), Eq (cP X (cJ X)) cE)
% 3.73/3.94 False
% 3.73/3.94 Clause #2 (by clausification #[1]): Eq
% 3.73/3.94 (And (And (∀ (Xx Xy Xz : Iota), Eq (cP (cP Xx Xy) Xz) (cP Xx (cP Xy Xz))) (∀ (Xx : Iota), Eq (cP cE Xx) Xx))
% 3.73/3.94 (∀ (Xy : Iota), Eq (cP (cJ Xy) Xy) cE))
% 3.73/3.94 True
% 3.73/3.94 Clause #3 (by clausification #[1]): Eq (∀ (X : Iota), Eq (cP X (cJ X)) cE) False
% 3.73/3.94 Clause #4 (by clausification #[2]): Eq (∀ (Xy : Iota), Eq (cP (cJ Xy) Xy) cE) True
% 3.73/3.94 Clause #5 (by clausification #[2]): Eq (And (∀ (Xx Xy Xz : Iota), Eq (cP (cP Xx Xy) Xz) (cP Xx (cP Xy Xz))) (∀ (Xx : Iota), Eq (cP cE Xx) Xx)) True
% 3.73/3.94 Clause #6 (by clausification #[4]): ∀ (a : Iota), Eq (Eq (cP (cJ a) a) cE) True
% 3.73/3.94 Clause #7 (by clausification #[6]): ∀ (a : Iota), Eq (cP (cJ a) a) cE
% 3.73/3.94 Clause #8 (by clausification #[3]): ∀ (a : Iota), Eq (Not (Eq (cP (skS.0 0 a) (cJ (skS.0 0 a))) cE)) True
% 3.73/3.94 Clause #9 (by clausification #[8]): ∀ (a : Iota), Eq (Eq (cP (skS.0 0 a) (cJ (skS.0 0 a))) cE) False
% 3.73/3.94 Clause #10 (by clausification #[9]): ∀ (a : Iota), Ne (cP (skS.0 0 a) (cJ (skS.0 0 a))) cE
% 3.73/3.94 Clause #11 (by clausification #[5]): Eq (∀ (Xx : Iota), Eq (cP cE Xx) Xx) True
% 3.73/3.94 Clause #12 (by clausification #[5]): Eq (∀ (Xx Xy Xz : Iota), Eq (cP (cP Xx Xy) Xz) (cP Xx (cP Xy Xz))) True
% 3.73/3.94 Clause #13 (by clausification #[11]): ∀ (a : Iota), Eq (Eq (cP cE a) a) True
% 3.73/3.94 Clause #14 (by clausification #[13]): ∀ (a : Iota), Eq (cP cE a) a
% 3.73/3.94 Clause #15 (by clausification #[12]): ∀ (a : Iota), Eq (∀ (Xy Xz : Iota), Eq (cP (cP a Xy) Xz) (cP a (cP Xy Xz))) True
% 3.73/3.94 Clause #16 (by clausification #[15]): ∀ (a a_1 : Iota), Eq (∀ (Xz : Iota), Eq (cP (cP a a_1) Xz) (cP a (cP a_1 Xz))) True
% 3.73/3.94 Clause #17 (by clausification #[16]): ∀ (a a_1 a_2 : Iota), Eq (Eq (cP (cP a a_1) a_2) (cP a (cP a_1 a_2))) True
% 3.73/3.94 Clause #18 (by clausification #[17]): ∀ (a a_1 a_2 : Iota), Eq (cP (cP a a_1) a_2) (cP a (cP a_1 a_2))
% 3.73/3.94 Clause #20 (by superposition #[18, 7]): ∀ (a a_1 : Iota), Eq (cP cE a) (cP (cJ a_1) (cP a_1 a))
% 3.73/3.94 Clause #33 (by forward demodulation #[20, 14]): ∀ (a a_1 : Iota), Eq a (cP (cJ a_1) (cP a_1 a))
% 3.73/3.94 Clause #38 (by superposition #[33, 7]): ∀ (a : Iota), Eq a (cP (cJ (cJ a)) cE)
% 3.73/3.94 Clause #49 (by superposition #[38, 33]): ∀ (a : Iota), Eq cE (cP (cJ (cJ (cJ a))) a)
% 3.73/3.94 Clause #107 (by superposition #[49, 33]): ∀ (a : Iota), Eq a (cP (cJ (cJ (cJ (cJ a)))) cE)
% 3.73/3.94 Clause #110 (by superposition #[107, 38]): ∀ (a : Iota), Eq (cJ (cJ a)) a
% 3.73/3.94 Clause #118 (by superposition #[110, 7]): ∀ (a : Iota), Eq (cP a (cJ a)) cE
% 3.73/3.94 Clause #161 (by backward contextual literal cutting #[118, 10]): False
% 3.73/3.94 SZS output end Proof for theBenchmark.p
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