TSTP Solution File: KLE001+1 by Duper---1.0
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% File : Duper---1.0
% Problem : KLE001+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 05:28:15 EDT 2023
% Result : Theorem 10.81s 11.01s
% Output : Proof 10.81s
% 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 : KLE001+1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.13 % Command : duper %s
% 0.14/0.34 % Computer : n002.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 : Tue Aug 29 12:33:20 EDT 2023
% 0.14/0.35 % CPUTime :
% 10.81/11.01 SZS status Theorem for theBenchmark.p
% 10.81/11.01 SZS output start Proof for theBenchmark.p
% 10.81/11.01 Clause #3 (by assumption #[]): Eq (∀ (A : Iota), Eq (addition A A) A) True
% 10.81/11.01 Clause #11 (by assumption #[]): Eq (∀ (A B : Iota), Iff (leq A B) (Eq (addition A B) B)) True
% 10.81/11.01 Clause #12 (by assumption #[]): Eq (Not (∀ (X0 X1 X2 : Iota), leq X0 X1 → leq (addition X0 X2) (addition X0 X2))) True
% 10.81/11.01 Clause #19 (by clausification #[3]): ∀ (a : Iota), Eq (Eq (addition a a) a) True
% 10.81/11.01 Clause #20 (by clausification #[19]): ∀ (a : Iota), Eq (addition a a) a
% 10.81/11.01 Clause #30 (by clausification #[11]): ∀ (a : Iota), Eq (∀ (B : Iota), Iff (leq a B) (Eq (addition a B) B)) True
% 10.81/11.01 Clause #31 (by clausification #[30]): ∀ (a a_1 : Iota), Eq (Iff (leq a a_1) (Eq (addition a a_1) a_1)) True
% 10.81/11.01 Clause #32 (by clausification #[31]): ∀ (a a_1 : Iota), Or (Eq (leq a a_1) True) (Eq (Eq (addition a a_1) a_1) False)
% 10.81/11.01 Clause #34 (by clausification #[32]): ∀ (a a_1 : Iota), Or (Eq (leq a a_1) True) (Ne (addition a a_1) a_1)
% 10.81/11.01 Clause #37 (by superposition #[34, 20]): ∀ (a : Iota), Or (Eq (leq a a) True) (Ne a a)
% 10.81/11.01 Clause #39 (by eliminate resolved literals #[37]): ∀ (a : Iota), Eq (leq a a) True
% 10.81/11.01 Clause #156 (by clausification #[12]): Eq (∀ (X0 X1 X2 : Iota), leq X0 X1 → leq (addition X0 X2) (addition X0 X2)) False
% 10.81/11.01 Clause #157 (by clausification #[156]): ∀ (a : Iota),
% 10.81/11.01 Eq (Not (∀ (X1 X2 : Iota), leq (skS.0 0 a) X1 → leq (addition (skS.0 0 a) X2) (addition (skS.0 0 a) X2))) True
% 10.81/11.01 Clause #158 (by clausification #[157]): ∀ (a : Iota), Eq (∀ (X1 X2 : Iota), leq (skS.0 0 a) X1 → leq (addition (skS.0 0 a) X2) (addition (skS.0 0 a) X2)) False
% 10.81/11.01 Clause #159 (by clausification #[158]): ∀ (a a_1 : Iota),
% 10.81/11.01 Eq (Not (∀ (X2 : Iota), leq (skS.0 0 a) (skS.0 1 a a_1) → leq (addition (skS.0 0 a) X2) (addition (skS.0 0 a) X2)))
% 10.81/11.01 True
% 10.81/11.01 Clause #160 (by clausification #[159]): ∀ (a a_1 : Iota),
% 10.81/11.01 Eq (∀ (X2 : Iota), leq (skS.0 0 a) (skS.0 1 a a_1) → leq (addition (skS.0 0 a) X2) (addition (skS.0 0 a) X2)) False
% 10.81/11.01 Clause #161 (by clausification #[160]): ∀ (a a_1 a_2 : Iota),
% 10.81/11.01 Eq
% 10.81/11.01 (Not
% 10.81/11.01 (leq (skS.0 0 a) (skS.0 1 a a_1) →
% 10.81/11.01 leq (addition (skS.0 0 a) (skS.0 2 a a_1 a_2)) (addition (skS.0 0 a) (skS.0 2 a a_1 a_2))))
% 10.81/11.01 True
% 10.81/11.01 Clause #162 (by clausification #[161]): ∀ (a a_1 a_2 : Iota),
% 10.81/11.01 Eq
% 10.81/11.01 (leq (skS.0 0 a) (skS.0 1 a a_1) →
% 10.81/11.01 leq (addition (skS.0 0 a) (skS.0 2 a a_1 a_2)) (addition (skS.0 0 a) (skS.0 2 a a_1 a_2)))
% 10.81/11.01 False
% 10.81/11.01 Clause #164 (by clausification #[162]): ∀ (a a_1 a_2 : Iota),
% 10.81/11.01 Eq (leq (addition (skS.0 0 a) (skS.0 2 a a_1 a_2)) (addition (skS.0 0 a) (skS.0 2 a a_1 a_2))) False
% 10.81/11.01 Clause #4988 (by superposition #[164, 39]): Eq False True
% 10.81/11.01 Clause #4989 (by clausification #[4988]): False
% 10.81/11.01 SZS output end Proof for theBenchmark.p
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