TSTP Solution File: KLE083+1 by Duper---1.0
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% File : Duper---1.0
% Problem : KLE083+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n032.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 11.92s 12.17s
% Output : Proof 11.92s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : KLE083+1 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.13 % Command : duper %s
% 0.10/0.34 % Computer : n032.cluster.edu
% 0.10/0.34 % Model : x86_64 x86_64
% 0.10/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34 % Memory : 8042.1875MB
% 0.10/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.34 % CPULimit : 300
% 0.10/0.34 % WCLimit : 300
% 0.10/0.34 % DateTime : Tue Aug 29 12:29:01 EDT 2023
% 0.10/0.34 % CPUTime :
% 11.92/12.17 SZS status Theorem for theBenchmark.p
% 11.92/12.17 SZS output start Proof for theBenchmark.p
% 11.92/12.17 Clause #2 (by assumption #[]): Eq (∀ (A : Iota), Eq (addition A zero) A) True
% 11.92/12.17 Clause #6 (by assumption #[]): Eq (∀ (A : Iota), Eq (multiplication one A) A) True
% 11.92/12.17 Clause #8 (by assumption #[]): Eq (∀ (A B C : Iota), Eq (multiplication (addition A B) C) (addition (multiplication A C) (multiplication B C))) True
% 11.92/12.17 Clause #12 (by assumption #[]): Eq (∀ (X0 : Iota), Eq (multiplication (antidomain X0) X0) zero) True
% 11.92/12.17 Clause #14 (by assumption #[]): Eq (∀ (X0 : Iota), Eq (addition (antidomain (antidomain X0)) (antidomain X0)) one) True
% 11.92/12.17 Clause #15 (by assumption #[]): Eq (∀ (X0 : Iota), Eq (domain X0) (antidomain (antidomain X0))) True
% 11.92/12.17 Clause #20 (by assumption #[]): Eq (Not (∀ (X0 : Iota), Eq X0 (multiplication (domain X0) X0))) True
% 11.92/12.17 Clause #25 (by clausification #[6]): ∀ (a : Iota), Eq (Eq (multiplication one a) a) True
% 11.92/12.17 Clause #26 (by clausification #[25]): ∀ (a : Iota), Eq (multiplication one a) a
% 11.92/12.17 Clause #29 (by clausification #[2]): ∀ (a : Iota), Eq (Eq (addition a zero) a) True
% 11.92/12.17 Clause #30 (by clausification #[29]): ∀ (a : Iota), Eq (addition a zero) a
% 11.92/12.17 Clause #38 (by clausification #[15]): ∀ (a : Iota), Eq (Eq (domain a) (antidomain (antidomain a))) True
% 11.92/12.17 Clause #39 (by clausification #[38]): ∀ (a : Iota), Eq (domain a) (antidomain (antidomain a))
% 11.92/12.17 Clause #104 (by clausification #[8]): ∀ (a : Iota),
% 11.92/12.17 Eq (∀ (B C : Iota), Eq (multiplication (addition a B) C) (addition (multiplication a C) (multiplication B C))) True
% 11.92/12.17 Clause #105 (by clausification #[104]): ∀ (a a_1 : Iota),
% 11.92/12.17 Eq (∀ (C : Iota), Eq (multiplication (addition a a_1) C) (addition (multiplication a C) (multiplication a_1 C))) True
% 11.92/12.17 Clause #106 (by clausification #[105]): ∀ (a a_1 a_2 : Iota),
% 11.92/12.17 Eq (Eq (multiplication (addition a a_1) a_2) (addition (multiplication a a_2) (multiplication a_1 a_2))) True
% 11.92/12.17 Clause #107 (by clausification #[106]): ∀ (a a_1 a_2 : Iota),
% 11.92/12.17 Eq (multiplication (addition a a_1) a_2) (addition (multiplication a a_2) (multiplication a_1 a_2))
% 11.92/12.17 Clause #126 (by clausification #[12]): ∀ (a : Iota), Eq (Eq (multiplication (antidomain a) a) zero) True
% 11.92/12.17 Clause #127 (by clausification #[126]): ∀ (a : Iota), Eq (multiplication (antidomain a) a) zero
% 11.92/12.17 Clause #132 (by superposition #[127, 107]): ∀ (a a_1 : Iota), Eq (multiplication (addition a (antidomain a_1)) a_1) (addition (multiplication a a_1) zero)
% 11.92/12.17 Clause #188 (by clausification #[14]): ∀ (a : Iota), Eq (Eq (addition (antidomain (antidomain a)) (antidomain a)) one) True
% 11.92/12.17 Clause #189 (by clausification #[188]): ∀ (a : Iota), Eq (addition (antidomain (antidomain a)) (antidomain a)) one
% 11.92/12.17 Clause #190 (by forward demodulation #[189, 39]): ∀ (a : Iota), Eq (addition (domain a) (antidomain a)) one
% 11.92/12.17 Clause #295 (by clausification #[20]): Eq (∀ (X0 : Iota), Eq X0 (multiplication (domain X0) X0)) False
% 11.92/12.17 Clause #296 (by clausification #[295]): ∀ (a : Iota), Eq (Not (Eq (skS.0 0 a) (multiplication (domain (skS.0 0 a)) (skS.0 0 a)))) True
% 11.92/12.17 Clause #297 (by clausification #[296]): ∀ (a : Iota), Eq (Eq (skS.0 0 a) (multiplication (domain (skS.0 0 a)) (skS.0 0 a))) False
% 11.92/12.17 Clause #298 (by clausification #[297]): ∀ (a : Iota), Ne (skS.0 0 a) (multiplication (domain (skS.0 0 a)) (skS.0 0 a))
% 11.92/12.17 Clause #2197 (by forward demodulation #[132, 30]): ∀ (a a_1 : Iota), Eq (multiplication (addition a (antidomain a_1)) a_1) (multiplication a a_1)
% 11.92/12.17 Clause #2240 (by superposition #[2197, 190]): ∀ (a : Iota), Eq (multiplication one a) (multiplication (domain a) a)
% 11.92/12.17 Clause #2251 (by forward demodulation #[2240, 26]): ∀ (a : Iota), Eq a (multiplication (domain a) a)
% 11.92/12.17 Clause #2253 (by backward contextual literal cutting #[2251, 298]): False
% 11.92/12.17 SZS output end Proof for theBenchmark.p
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