TSTP Solution File: KLE085+1 by Duper---1.0
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% File : Duper---1.0
% Problem : KLE085+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n012.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 05:28:33 EDT 2023
% Result : Theorem 3.93s 4.12s
% Output : Proof 3.93s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KLE085+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : duper %s
% 0.16/0.34 % Computer : n012.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue Aug 29 12:24:39 EDT 2023
% 0.16/0.34 % CPUTime :
% 3.93/4.12 SZS status Theorem for theBenchmark.p
% 3.93/4.12 SZS output start Proof for theBenchmark.p
% 3.93/4.12 Clause #0 (by assumption #[]): Eq (∀ (A B : Iota), Eq (addition A B) (addition B A)) True
% 3.93/4.12 Clause #1 (by assumption #[]): Eq (∀ (C B A : Iota), Eq (addition A (addition B C)) (addition (addition A B) C)) True
% 3.93/4.12 Clause #3 (by assumption #[]): Eq (∀ (A : Iota), Eq (addition A A) A) True
% 3.93/4.12 Clause #14 (by assumption #[]): Eq (∀ (X0 : Iota), Eq (addition (antidomain (antidomain X0)) (antidomain X0)) one) True
% 3.93/4.12 Clause #15 (by assumption #[]): Eq (∀ (X0 : Iota), Eq (domain X0) (antidomain (antidomain X0))) True
% 3.93/4.12 Clause #20 (by assumption #[]): Eq (Not (∀ (X0 : Iota), Eq (addition (domain X0) one) one)) True
% 3.93/4.12 Clause #27 (by clausification #[3]): ∀ (a : Iota), Eq (Eq (addition a a) a) True
% 3.93/4.12 Clause #28 (by clausification #[27]): ∀ (a : Iota), Eq (addition a a) a
% 3.93/4.12 Clause #31 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (B : Iota), Eq (addition a B) (addition B a)) True
% 3.93/4.12 Clause #32 (by clausification #[31]): ∀ (a a_1 : Iota), Eq (Eq (addition a a_1) (addition a_1 a)) True
% 3.93/4.12 Clause #33 (by clausification #[32]): ∀ (a a_1 : Iota), Eq (addition a a_1) (addition a_1 a)
% 3.93/4.12 Clause #38 (by clausification #[15]): ∀ (a : Iota), Eq (Eq (domain a) (antidomain (antidomain a))) True
% 3.93/4.12 Clause #39 (by clausification #[38]): ∀ (a : Iota), Eq (domain a) (antidomain (antidomain a))
% 3.93/4.12 Clause #42 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (B A : Iota), Eq (addition A (addition B a)) (addition (addition A B) a)) True
% 3.93/4.12 Clause #43 (by clausification #[42]): ∀ (a a_1 : Iota), Eq (∀ (A : Iota), Eq (addition A (addition a a_1)) (addition (addition A a) a_1)) True
% 3.93/4.12 Clause #44 (by clausification #[43]): ∀ (a a_1 a_2 : Iota), Eq (Eq (addition a (addition a_1 a_2)) (addition (addition a a_1) a_2)) True
% 3.93/4.12 Clause #45 (by clausification #[44]): ∀ (a a_1 a_2 : Iota), Eq (addition a (addition a_1 a_2)) (addition (addition a a_1) a_2)
% 3.93/4.12 Clause #53 (by superposition #[45, 28]): ∀ (a a_1 : Iota), Eq (addition a (addition a a_1)) (addition a a_1)
% 3.93/4.12 Clause #60 (by superposition #[53, 33]): ∀ (a a_1 : Iota), Eq (addition a (addition a_1 a)) (addition a_1 a)
% 3.93/4.12 Clause #188 (by clausification #[14]): ∀ (a : Iota), Eq (Eq (addition (antidomain (antidomain a)) (antidomain a)) one) True
% 3.93/4.12 Clause #189 (by clausification #[188]): ∀ (a : Iota), Eq (addition (antidomain (antidomain a)) (antidomain a)) one
% 3.93/4.12 Clause #190 (by forward demodulation #[189, 39]): ∀ (a : Iota), Eq (addition (domain a) (antidomain a)) one
% 3.93/4.12 Clause #195 (by superposition #[190, 60]): ∀ (a : Iota), Eq (addition (antidomain a) one) one
% 3.93/4.12 Clause #259 (by superposition #[195, 33]): ∀ (a : Iota), Eq (addition one (antidomain a)) one
% 3.93/4.12 Clause #265 (by superposition #[259, 39]): ∀ (a : Iota), Eq (addition one (domain a)) one
% 3.93/4.12 Clause #295 (by clausification #[20]): Eq (∀ (X0 : Iota), Eq (addition (domain X0) one) one) False
% 3.93/4.12 Clause #296 (by clausification #[295]): ∀ (a : Iota), Eq (Not (Eq (addition (domain (skS.0 0 a)) one) one)) True
% 3.93/4.12 Clause #297 (by clausification #[296]): ∀ (a : Iota), Eq (Eq (addition (domain (skS.0 0 a)) one) one) False
% 3.93/4.12 Clause #298 (by clausification #[297]): ∀ (a : Iota), Ne (addition (domain (skS.0 0 a)) one) one
% 3.93/4.12 Clause #299 (by forward demodulation #[298, 33]): ∀ (a : Iota), Ne (addition one (domain (skS.0 0 a))) one
% 3.93/4.12 Clause #303 (by backward contextual literal cutting #[265, 299]): False
% 3.93/4.12 SZS output end Proof for theBenchmark.p
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