TSTP Solution File: ALG280^5 by Duper---1.0
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% File : Duper---1.0
% Problem : ALG280^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n001.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 3.91s
% 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
% 0.00/0.13 % Problem : ALG280^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n001.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 : Mon Aug 28 04:57:19 EDT 2023
% 0.14/0.36 % CPUTime :
% 3.73/3.91 SZS status Theorem for theBenchmark.p
% 3.73/3.91 SZS output start Proof for theBenchmark.p
% 3.73/3.91 Clause #0 (by assumption #[]): Eq
% 3.73/3.91 (Not
% 3.73/3.91 (And (And (∀ (Xx Xy Xz : a), Eq (cP (cP Xx Xy) Xz) (cP Xx (cP Xy Xz))) (∀ (Xx : a), Eq (cP cE Xx) Xx))
% 3.73/3.91 (∀ (Xy : a), Eq (cP (cJ Xy) Xy) cE) →
% 3.73/3.91 ∀ (X : a), Eq (cP X cE) X))
% 3.73/3.91 True
% 3.73/3.91 Clause #1 (by clausification #[0]): Eq
% 3.73/3.91 (And (And (∀ (Xx Xy Xz : a), Eq (cP (cP Xx Xy) Xz) (cP Xx (cP Xy Xz))) (∀ (Xx : a), Eq (cP cE Xx) Xx))
% 3.73/3.91 (∀ (Xy : a), Eq (cP (cJ Xy) Xy) cE) →
% 3.73/3.91 ∀ (X : a), Eq (cP X cE) X)
% 3.73/3.91 False
% 3.73/3.91 Clause #2 (by clausification #[1]): Eq
% 3.73/3.91 (And (And (∀ (Xx Xy Xz : a), Eq (cP (cP Xx Xy) Xz) (cP Xx (cP Xy Xz))) (∀ (Xx : a), Eq (cP cE Xx) Xx))
% 3.73/3.91 (∀ (Xy : a), Eq (cP (cJ Xy) Xy) cE))
% 3.73/3.91 True
% 3.73/3.91 Clause #3 (by clausification #[1]): Eq (∀ (X : a), Eq (cP X cE) X) False
% 3.73/3.91 Clause #4 (by clausification #[2]): Eq (∀ (Xy : a), Eq (cP (cJ Xy) Xy) cE) True
% 3.73/3.91 Clause #5 (by clausification #[2]): Eq (And (∀ (Xx Xy Xz : a), Eq (cP (cP Xx Xy) Xz) (cP Xx (cP Xy Xz))) (∀ (Xx : a), Eq (cP cE Xx) Xx)) True
% 3.73/3.91 Clause #6 (by clausification #[4]): ∀ (a_1 : a), Eq (Eq (cP (cJ a_1) a_1) cE) True
% 3.73/3.91 Clause #7 (by clausification #[6]): ∀ (a_1 : a), Eq (cP (cJ a_1) a_1) cE
% 3.73/3.91 Clause #8 (by clausification #[3]): ∀ (a_1 : a), Eq (Not (Eq (cP (skS.0 0 a_1) cE) (skS.0 0 a_1))) True
% 3.73/3.91 Clause #9 (by clausification #[8]): ∀ (a_1 : a), Eq (Eq (cP (skS.0 0 a_1) cE) (skS.0 0 a_1)) False
% 3.73/3.91 Clause #10 (by clausification #[9]): ∀ (a_1 : a), Ne (cP (skS.0 0 a_1) cE) (skS.0 0 a_1)
% 3.73/3.91 Clause #11 (by clausification #[5]): Eq (∀ (Xx : a), Eq (cP cE Xx) Xx) True
% 3.73/3.91 Clause #12 (by clausification #[5]): Eq (∀ (Xx Xy Xz : a), Eq (cP (cP Xx Xy) Xz) (cP Xx (cP Xy Xz))) True
% 3.73/3.91 Clause #13 (by clausification #[11]): ∀ (a_1 : a), Eq (Eq (cP cE a_1) a_1) True
% 3.73/3.91 Clause #14 (by clausification #[13]): ∀ (a_1 : a), Eq (cP cE a_1) a_1
% 3.73/3.91 Clause #15 (by clausification #[12]): ∀ (a_1 : a), Eq (∀ (Xy Xz : a), Eq (cP (cP a_1 Xy) Xz) (cP a_1 (cP Xy Xz))) True
% 3.73/3.91 Clause #16 (by clausification #[15]): ∀ (a_1 a_2 : a), Eq (∀ (Xz : a), Eq (cP (cP a_1 a_2) Xz) (cP a_1 (cP a_2 Xz))) True
% 3.73/3.91 Clause #17 (by clausification #[16]): ∀ (a_1 a_2 a_3 : a), Eq (Eq (cP (cP a_1 a_2) a_3) (cP a_1 (cP a_2 a_3))) True
% 3.73/3.91 Clause #18 (by clausification #[17]): ∀ (a_1 a_2 a_3 : a), Eq (cP (cP a_1 a_2) a_3) (cP a_1 (cP a_2 a_3))
% 3.73/3.91 Clause #20 (by superposition #[18, 7]): ∀ (a_1 a_2 : a), Eq (cP cE a_1) (cP (cJ a_2) (cP a_2 a_1))
% 3.73/3.91 Clause #33 (by forward demodulation #[20, 14]): ∀ (a_1 a_2 : a), Eq a_1 (cP (cJ a_2) (cP a_2 a_1))
% 3.73/3.91 Clause #38 (by superposition #[33, 7]): ∀ (a_1 : a), Eq a_1 (cP (cJ (cJ a_1)) cE)
% 3.73/3.91 Clause #49 (by superposition #[38, 33]): ∀ (a_1 : a), Eq cE (cP (cJ (cJ (cJ a_1))) a_1)
% 3.73/3.91 Clause #107 (by superposition #[49, 33]): ∀ (a_1 : a), Eq a_1 (cP (cJ (cJ (cJ (cJ a_1)))) cE)
% 3.73/3.91 Clause #110 (by superposition #[107, 38]): ∀ (a_1 : a), Eq (cJ (cJ a_1)) a_1
% 3.73/3.91 Clause #116 (by backward demodulation #[110, 38]): ∀ (a_1 : a), Eq a_1 (cP a_1 cE)
% 3.73/3.91 Clause #121 (by backward contextual literal cutting #[116, 10]): False
% 3.73/3.91 SZS output end Proof for theBenchmark.p
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