TSTP Solution File: KLE146+1 by Duper---1.0
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% File : Duper---1.0
% Problem : KLE146+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n002.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 : Thu Aug 31 05:28:43 EDT 2023
% Result : Theorem 5.72s 6.00s
% Output : Proof 5.72s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE146+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n002.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 : Tue Aug 29 12:53:05 EDT 2023
% 0.20/0.35 % CPUTime :
% 5.72/6.00 SZS status Theorem for theBenchmark.p
% 5.72/6.00 SZS output start Proof for theBenchmark.p
% 5.72/6.00 Clause #0 (by assumption #[]): Eq (∀ (A B : Iota), Eq (addition A B) (addition B A)) True
% 5.72/6.00 Clause #1 (by assumption #[]): Eq (∀ (C B A : Iota), Eq (addition A (addition B C)) (addition (addition A B) C)) True
% 5.72/6.00 Clause #3 (by assumption #[]): Eq (∀ (A : Iota), Eq (addition A A) A) True
% 5.72/6.00 Clause #14 (by assumption #[]): Eq (∀ (A : Iota), Eq (strong_iteration A) (addition (multiplication A (strong_iteration A)) one)) True
% 5.72/6.00 Clause #17 (by assumption #[]): Eq (∀ (A B : Iota), Iff (leq A B) (Eq (addition A B) B)) True
% 5.72/6.00 Clause #18 (by assumption #[]): Eq (Not (∀ (X0 : Iota), leq one (strong_iteration X0))) True
% 5.72/6.00 Clause #19 (by clausification #[18]): Eq (∀ (X0 : Iota), leq one (strong_iteration X0)) False
% 5.72/6.00 Clause #20 (by clausification #[19]): ∀ (a : Iota), Eq (Not (leq one (strong_iteration (skS.0 0 a)))) True
% 5.72/6.00 Clause #21 (by clausification #[20]): ∀ (a : Iota), Eq (leq one (strong_iteration (skS.0 0 a))) False
% 5.72/6.00 Clause #26 (by clausification #[3]): ∀ (a : Iota), Eq (Eq (addition a a) a) True
% 5.72/6.00 Clause #27 (by clausification #[26]): ∀ (a : Iota), Eq (addition a a) a
% 5.72/6.00 Clause #30 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (B : Iota), Eq (addition a B) (addition B a)) True
% 5.72/6.00 Clause #31 (by clausification #[30]): ∀ (a a_1 : Iota), Eq (Eq (addition a a_1) (addition a_1 a)) True
% 5.72/6.00 Clause #32 (by clausification #[31]): ∀ (a a_1 : Iota), Eq (addition a a_1) (addition a_1 a)
% 5.72/6.00 Clause #57 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (B A : Iota), Eq (addition A (addition B a)) (addition (addition A B) a)) True
% 5.72/6.00 Clause #58 (by clausification #[57]): ∀ (a a_1 : Iota), Eq (∀ (A : Iota), Eq (addition A (addition a a_1)) (addition (addition A a) a_1)) True
% 5.72/6.00 Clause #59 (by clausification #[58]): ∀ (a a_1 a_2 : Iota), Eq (Eq (addition a (addition a_1 a_2)) (addition (addition a a_1) a_2)) True
% 5.72/6.00 Clause #60 (by clausification #[59]): ∀ (a a_1 a_2 : Iota), Eq (addition a (addition a_1 a_2)) (addition (addition a a_1) a_2)
% 5.72/6.00 Clause #68 (by superposition #[60, 27]): ∀ (a a_1 : Iota), Eq (addition a (addition a a_1)) (addition a a_1)
% 5.72/6.00 Clause #75 (by superposition #[68, 32]): ∀ (a a_1 : Iota), Eq (addition a (addition a_1 a)) (addition a_1 a)
% 5.72/6.00 Clause #210 (by clausification #[14]): ∀ (a : Iota), Eq (Eq (strong_iteration a) (addition (multiplication a (strong_iteration a)) one)) True
% 5.72/6.00 Clause #211 (by clausification #[210]): ∀ (a : Iota), Eq (strong_iteration a) (addition (multiplication a (strong_iteration a)) one)
% 5.72/6.00 Clause #219 (by superposition #[211, 75]): ∀ (a : Iota), Eq (addition one (strong_iteration a)) (strong_iteration a)
% 5.72/6.00 Clause #246 (by clausification #[17]): ∀ (a : Iota), Eq (∀ (B : Iota), Iff (leq a B) (Eq (addition a B) B)) True
% 5.72/6.00 Clause #247 (by clausification #[246]): ∀ (a a_1 : Iota), Eq (Iff (leq a a_1) (Eq (addition a a_1) a_1)) True
% 5.72/6.00 Clause #248 (by clausification #[247]): ∀ (a a_1 : Iota), Or (Eq (leq a a_1) True) (Eq (Eq (addition a a_1) a_1) False)
% 5.72/6.00 Clause #250 (by clausification #[248]): ∀ (a a_1 : Iota), Or (Eq (leq a a_1) True) (Ne (addition a a_1) a_1)
% 5.72/6.00 Clause #275 (by superposition #[219, 250]): ∀ (a : Iota), Or (Eq (leq one (strong_iteration a)) True) (Ne (strong_iteration a) (strong_iteration a))
% 5.72/6.00 Clause #381 (by eliminate resolved literals #[275]): ∀ (a : Iota), Eq (leq one (strong_iteration a)) True
% 5.72/6.00 Clause #382 (by superposition #[381, 21]): Eq True False
% 5.72/6.00 Clause #383 (by clausification #[382]): False
% 5.72/6.00 SZS output end Proof for theBenchmark.p
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