TSTP Solution File: KLE138+1 by Duper---1.0
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% File : Duper---1.0
% Problem : KLE138+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n009.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 05:28:41 EDT 2023
% Result : Theorem 3.71s 3.93s
% Output : Proof 3.71s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE138+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 11:51:05 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.71/3.93 SZS status Theorem for theBenchmark.p
% 3.71/3.93 SZS output start Proof for theBenchmark.p
% 3.71/3.93 Clause #0 (by assumption #[]): Eq (∀ (A B : Iota), Eq (addition A B) (addition B A)) True
% 3.71/3.93 Clause #2 (by assumption #[]): Eq (∀ (A : Iota), Eq (addition A zero) A) True
% 3.71/3.93 Clause #9 (by assumption #[]): Eq (∀ (A : Iota), Eq (multiplication zero A) zero) True
% 3.71/3.93 Clause #14 (by assumption #[]): Eq (∀ (A : Iota), Eq (strong_iteration A) (addition (multiplication A (strong_iteration A)) one)) True
% 3.71/3.93 Clause #18 (by assumption #[]): Eq (Not (Eq (strong_iteration zero) one)) True
% 3.71/3.93 Clause #19 (by clausification #[18]): Eq (Eq (strong_iteration zero) one) False
% 3.71/3.93 Clause #20 (by clausification #[19]): Ne (strong_iteration zero) one
% 3.71/3.93 Clause #21 (by clausification #[9]): ∀ (a : Iota), Eq (Eq (multiplication zero a) zero) True
% 3.71/3.93 Clause #22 (by clausification #[21]): ∀ (a : Iota), Eq (multiplication zero a) zero
% 3.71/3.93 Clause #27 (by clausification #[2]): ∀ (a : Iota), Eq (Eq (addition a zero) a) True
% 3.71/3.93 Clause #28 (by clausification #[27]): ∀ (a : Iota), Eq (addition a zero) a
% 3.71/3.93 Clause #29 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (B : Iota), Eq (addition a B) (addition B a)) True
% 3.71/3.93 Clause #30 (by clausification #[29]): ∀ (a a_1 : Iota), Eq (Eq (addition a a_1) (addition a_1 a)) True
% 3.71/3.93 Clause #31 (by clausification #[30]): ∀ (a a_1 : Iota), Eq (addition a a_1) (addition a_1 a)
% 3.71/3.93 Clause #32 (by superposition #[31, 28]): ∀ (a : Iota), Eq (addition zero a) a
% 3.71/3.93 Clause #209 (by clausification #[14]): ∀ (a : Iota), Eq (Eq (strong_iteration a) (addition (multiplication a (strong_iteration a)) one)) True
% 3.71/3.93 Clause #210 (by clausification #[209]): ∀ (a : Iota), Eq (strong_iteration a) (addition (multiplication a (strong_iteration a)) one)
% 3.71/3.93 Clause #219 (by superposition #[210, 22]): Eq (strong_iteration zero) (addition zero one)
% 3.71/3.93 Clause #222 (by superposition #[219, 32]): Eq (strong_iteration zero) one
% 3.71/3.93 Clause #228 (by forward contextual literal cutting #[222, 20]): False
% 3.71/3.93 SZS output end Proof for theBenchmark.p
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