TSTP Solution File: ALG284^5 by Duper---1.0
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% File : Duper---1.0
% Problem : ALG284^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n011.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 4.49s 4.65s
% Output : Proof 4.49s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ALG284^5 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.13 % Command : duper %s
% 0.14/0.34 % Computer : n011.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 04:28:40 EDT 2023
% 0.14/0.34 % CPUTime :
% 4.49/4.65 SZS status Theorem for theBenchmark.p
% 4.49/4.65 SZS output start Proof for theBenchmark.p
% 4.49/4.65 Clause #0 (by assumption #[]): Eq
% 4.49/4.65 (Not
% 4.49/4.65 (And (And (∀ (Xx Xy Xz : Iota), Eq (cP (cP Xx Xy) Xz) (cP Xx (cP Xy Xz))) (∀ (Xx : Iota), Eq (cP cE Xx) Xx))
% 4.49/4.65 (∀ (Xy : Iota), Eq (cP (cJ Xy) Xy) cE) →
% 4.49/4.65 ∀ (X Y : Iota), Eq (cJ (cP X Y)) (cP (cJ Y) (cJ X))))
% 4.49/4.65 True
% 4.49/4.65 Clause #1 (by clausification #[0]): Eq
% 4.49/4.65 (And (And (∀ (Xx Xy Xz : Iota), Eq (cP (cP Xx Xy) Xz) (cP Xx (cP Xy Xz))) (∀ (Xx : Iota), Eq (cP cE Xx) Xx))
% 4.49/4.65 (∀ (Xy : Iota), Eq (cP (cJ Xy) Xy) cE) →
% 4.49/4.65 ∀ (X Y : Iota), Eq (cJ (cP X Y)) (cP (cJ Y) (cJ X)))
% 4.49/4.65 False
% 4.49/4.65 Clause #2 (by clausification #[1]): Eq
% 4.49/4.65 (And (And (∀ (Xx Xy Xz : Iota), Eq (cP (cP Xx Xy) Xz) (cP Xx (cP Xy Xz))) (∀ (Xx : Iota), Eq (cP cE Xx) Xx))
% 4.49/4.65 (∀ (Xy : Iota), Eq (cP (cJ Xy) Xy) cE))
% 4.49/4.65 True
% 4.49/4.65 Clause #3 (by clausification #[1]): Eq (∀ (X Y : Iota), Eq (cJ (cP X Y)) (cP (cJ Y) (cJ X))) False
% 4.49/4.65 Clause #4 (by clausification #[2]): Eq (∀ (Xy : Iota), Eq (cP (cJ Xy) Xy) cE) True
% 4.49/4.65 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
% 4.49/4.65 Clause #6 (by clausification #[4]): ∀ (a : Iota), Eq (Eq (cP (cJ a) a) cE) True
% 4.49/4.65 Clause #7 (by clausification #[6]): ∀ (a : Iota), Eq (cP (cJ a) a) cE
% 4.49/4.65 Clause #8 (by clausification #[3]): ∀ (a : Iota), Eq (Not (∀ (Y : Iota), Eq (cJ (cP (skS.0 0 a) Y)) (cP (cJ Y) (cJ (skS.0 0 a))))) True
% 4.49/4.65 Clause #9 (by clausification #[8]): ∀ (a : Iota), Eq (∀ (Y : Iota), Eq (cJ (cP (skS.0 0 a) Y)) (cP (cJ Y) (cJ (skS.0 0 a)))) False
% 4.49/4.65 Clause #10 (by clausification #[9]): ∀ (a a_1 : Iota), Eq (Not (Eq (cJ (cP (skS.0 0 a) (skS.0 1 a a_1))) (cP (cJ (skS.0 1 a a_1)) (cJ (skS.0 0 a))))) True
% 4.49/4.65 Clause #11 (by clausification #[10]): ∀ (a a_1 : Iota), Eq (Eq (cJ (cP (skS.0 0 a) (skS.0 1 a a_1))) (cP (cJ (skS.0 1 a a_1)) (cJ (skS.0 0 a)))) False
% 4.49/4.65 Clause #12 (by clausification #[11]): ∀ (a a_1 : Iota), Ne (cJ (cP (skS.0 0 a) (skS.0 1 a a_1))) (cP (cJ (skS.0 1 a a_1)) (cJ (skS.0 0 a)))
% 4.49/4.65 Clause #13 (by clausification #[5]): Eq (∀ (Xx : Iota), Eq (cP cE Xx) Xx) True
% 4.49/4.65 Clause #14 (by clausification #[5]): Eq (∀ (Xx Xy Xz : Iota), Eq (cP (cP Xx Xy) Xz) (cP Xx (cP Xy Xz))) True
% 4.49/4.65 Clause #15 (by clausification #[13]): ∀ (a : Iota), Eq (Eq (cP cE a) a) True
% 4.49/4.65 Clause #16 (by clausification #[15]): ∀ (a : Iota), Eq (cP cE a) a
% 4.49/4.65 Clause #17 (by clausification #[14]): ∀ (a : Iota), Eq (∀ (Xy Xz : Iota), Eq (cP (cP a Xy) Xz) (cP a (cP Xy Xz))) True
% 4.49/4.65 Clause #18 (by clausification #[17]): ∀ (a a_1 : Iota), Eq (∀ (Xz : Iota), Eq (cP (cP a a_1) Xz) (cP a (cP a_1 Xz))) True
% 4.49/4.65 Clause #19 (by clausification #[18]): ∀ (a a_1 a_2 : Iota), Eq (Eq (cP (cP a a_1) a_2) (cP a (cP a_1 a_2))) True
% 4.49/4.65 Clause #20 (by clausification #[19]): ∀ (a a_1 a_2 : Iota), Eq (cP (cP a a_1) a_2) (cP a (cP a_1 a_2))
% 4.49/4.65 Clause #22 (by superposition #[20, 7]): ∀ (a a_1 : Iota), Eq (cP cE a) (cP (cJ a_1) (cP a_1 a))
% 4.49/4.65 Clause #35 (by forward demodulation #[22, 16]): ∀ (a a_1 : Iota), Eq a (cP (cJ a_1) (cP a_1 a))
% 4.49/4.65 Clause #40 (by superposition #[35, 7]): ∀ (a : Iota), Eq a (cP (cJ (cJ a)) cE)
% 4.49/4.65 Clause #42 (by superposition #[35, 20]): ∀ (a a_1 a_2 : Iota), Eq a (cP (cJ (cP a_1 a_2)) (cP a_1 (cP a_2 a)))
% 4.49/4.65 Clause #51 (by superposition #[40, 35]): ∀ (a : Iota), Eq cE (cP (cJ (cJ (cJ a))) a)
% 4.49/4.65 Clause #109 (by superposition #[51, 35]): ∀ (a : Iota), Eq a (cP (cJ (cJ (cJ (cJ a)))) cE)
% 4.49/4.65 Clause #112 (by superposition #[109, 40]): ∀ (a : Iota), Eq (cJ (cJ a)) a
% 4.49/4.65 Clause #118 (by backward demodulation #[112, 40]): ∀ (a : Iota), Eq a (cP a cE)
% 4.49/4.65 Clause #207 (by superposition #[42, 7]): ∀ (a a_1 : Iota), Eq a (cP (cJ (cP (cJ (cP a_1 a)) a_1)) cE)
% 4.49/4.65 Clause #271 (by superposition #[207, 118]): ∀ (a a_1 : Iota), Eq (cJ (cP (cJ (cP a a_1)) a)) a_1
% 4.49/4.65 Clause #300 (by superposition #[271, 112]): ∀ (a a_1 : Iota), Eq (cJ a) (cP (cJ (cP a_1 a)) a_1)
% 4.49/4.65 Clause #334 (by superposition #[300, 35]): ∀ (a a_1 : Iota), Eq (cJ (cP a a_1)) (cP (cJ a_1) (cJ a))
% 4.49/4.65 Clause #593 (by backward contextual literal cutting #[334, 12]): False
% 4.49/4.65 SZS output end Proof for theBenchmark.p
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