TSTP Solution File: KLE137+1 by Duper---1.0
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- Process Solution
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% File : Duper---1.0
% Problem : KLE137+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n017.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 67.16s 67.46s
% Output : Proof 67.28s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KLE137+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n017.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 10:40:13 EDT 2023
% 0.13/0.34 % CPUTime :
% 67.16/67.46 SZS status Theorem for theBenchmark.p
% 67.16/67.46 SZS output start Proof for theBenchmark.p
% 67.16/67.46 Clause #1 (by assumption #[]): Eq (∀ (C B A : Iota), Eq (addition A (addition B C)) (addition (addition A B) C)) True
% 67.16/67.46 Clause #3 (by assumption #[]): Eq (∀ (A : Iota), Eq (addition A A) A) True
% 67.16/67.46 Clause #5 (by assumption #[]): Eq (∀ (A : Iota), Eq (multiplication A one) A) True
% 67.16/67.46 Clause #6 (by assumption #[]): Eq (∀ (A : Iota), Eq (multiplication one A) A) True
% 67.16/67.46 Clause #15 (by assumption #[]): Eq (∀ (A B C : Iota), leq C (addition (multiplication A C) B) → leq C (multiplication (strong_iteration A) B)) True
% 67.16/67.46 Clause #17 (by assumption #[]): Eq (∀ (A B : Iota), Iff (leq A B) (Eq (addition A B) B)) True
% 67.16/67.46 Clause #18 (by assumption #[]): Eq (Not (∀ (X0 : Iota), leq X0 (strong_iteration one))) True
% 67.16/67.46 Clause #19 (by clausification #[18]): Eq (∀ (X0 : Iota), leq X0 (strong_iteration one)) False
% 67.16/67.46 Clause #20 (by clausification #[19]): ∀ (a : Iota), Eq (Not (leq (skS.0 0 a) (strong_iteration one))) True
% 67.16/67.46 Clause #21 (by clausification #[20]): ∀ (a : Iota), Eq (leq (skS.0 0 a) (strong_iteration one)) False
% 67.16/67.46 Clause #24 (by clausification #[6]): ∀ (a : Iota), Eq (Eq (multiplication one a) a) True
% 67.16/67.46 Clause #25 (by clausification #[24]): ∀ (a : Iota), Eq (multiplication one a) a
% 67.16/67.46 Clause #26 (by clausification #[3]): ∀ (a : Iota), Eq (Eq (addition a a) a) True
% 67.16/67.46 Clause #27 (by clausification #[26]): ∀ (a : Iota), Eq (addition a a) a
% 67.16/67.46 Clause #35 (by clausification #[5]): ∀ (a : Iota), Eq (Eq (multiplication a one) a) True
% 67.16/67.46 Clause #36 (by clausification #[35]): ∀ (a : Iota), Eq (multiplication a one) a
% 67.16/67.46 Clause #37 (by clausification #[15]): ∀ (a : Iota),
% 67.16/67.46 Eq (∀ (B C : Iota), leq C (addition (multiplication a C) B) → leq C (multiplication (strong_iteration a) B)) True
% 67.16/67.46 Clause #38 (by clausification #[37]): ∀ (a a_1 : Iota),
% 67.16/67.46 Eq (∀ (C : Iota), leq C (addition (multiplication a C) a_1) → leq C (multiplication (strong_iteration a) a_1)) True
% 67.16/67.46 Clause #39 (by clausification #[38]): ∀ (a a_1 a_2 : Iota),
% 67.16/67.46 Eq (leq a (addition (multiplication a_1 a) a_2) → leq a (multiplication (strong_iteration a_1) a_2)) True
% 67.16/67.46 Clause #40 (by clausification #[39]): ∀ (a a_1 a_2 : Iota),
% 67.16/67.46 Or (Eq (leq a (addition (multiplication a_1 a) a_2)) False)
% 67.16/67.46 (Eq (leq a (multiplication (strong_iteration a_1) a_2)) True)
% 67.16/67.46 Clause #46 (by superposition #[40, 25]): ∀ (a a_1 : Iota), Or (Eq (leq a (addition a a_1)) False) (Eq (leq a (multiplication (strong_iteration one) a_1)) True)
% 67.16/67.46 Clause #57 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (B A : Iota), Eq (addition A (addition B a)) (addition (addition A B) a)) True
% 67.16/67.46 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
% 67.16/67.46 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
% 67.16/67.46 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)
% 67.16/67.46 Clause #68 (by superposition #[60, 27]): ∀ (a a_1 : Iota), Eq (addition a (addition a a_1)) (addition a a_1)
% 67.16/67.46 Clause #246 (by clausification #[17]): ∀ (a : Iota), Eq (∀ (B : Iota), Iff (leq a B) (Eq (addition a B) B)) True
% 67.16/67.46 Clause #247 (by clausification #[246]): ∀ (a a_1 : Iota), Eq (Iff (leq a a_1) (Eq (addition a a_1) a_1)) True
% 67.16/67.46 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)
% 67.16/67.46 Clause #250 (by clausification #[248]): ∀ (a a_1 : Iota), Or (Eq (leq a a_1) True) (Ne (addition a a_1) a_1)
% 67.16/67.46 Clause #262 (by superposition #[250, 68]): ∀ (a a_1 : Iota), Or (Eq (leq a (addition a a_1)) True) (Ne (addition a a_1) (addition a a_1))
% 67.16/67.46 Clause #9159 (by eliminate resolved literals #[262]): ∀ (a a_1 : Iota), Eq (leq a (addition a a_1)) True
% 67.16/67.46 Clause #9162 (by superposition #[9159, 46]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (leq a (multiplication (strong_iteration one) a_1)) True)
% 67.16/67.46 Clause #16687 (by clausification #[9162]): ∀ (a a_1 : Iota), Eq (leq a (multiplication (strong_iteration one) a_1)) True
% 67.28/67.59 Clause #16714 (by superposition #[16687, 36]): ∀ (a : Iota), Eq (leq a (strong_iteration one)) True
% 67.28/67.59 Clause #16775 (by superposition #[16714, 21]): Eq True False
% 67.28/67.59 Clause #16797 (by clausification #[16775]): False
% 67.28/67.59 SZS output end Proof for theBenchmark.p
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