TSTP Solution File: KLE056+1 by Duper---1.0
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% File : Duper---1.0
% Problem : KLE056+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n013.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 05:28:28 EDT 2023
% Result : Theorem 8.22s 8.44s
% Output : Proof 8.22s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE056+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n013.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 12:03:47 EDT 2023
% 0.13/0.35 % CPUTime :
% 8.22/8.44 SZS status Theorem for theBenchmark.p
% 8.22/8.44 SZS output start Proof for theBenchmark.p
% 8.22/8.44 Clause #2 (by assumption #[]): Eq (∀ (A : Iota), Eq (addition A zero) A) True
% 8.22/8.44 Clause #10 (by assumption #[]): Eq (∀ (A : Iota), Eq (multiplication zero A) zero) True
% 8.22/8.44 Clause #12 (by assumption #[]): Eq (∀ (X0 : Iota), Eq (addition X0 (multiplication (domain X0) X0)) (multiplication (domain X0) X0)) True
% 8.22/8.44 Clause #17 (by assumption #[]): Eq (Not (∀ (X0 : Iota), Eq (domain X0) zero → Eq X0 zero)) True
% 8.22/8.44 Clause #21 (by clausification #[10]): ∀ (a : Iota), Eq (Eq (multiplication zero a) zero) True
% 8.22/8.44 Clause #22 (by clausification #[21]): ∀ (a : Iota), Eq (multiplication zero a) zero
% 8.22/8.44 Clause #25 (by clausification #[17]): Eq (∀ (X0 : Iota), Eq (domain X0) zero → Eq X0 zero) False
% 8.22/8.44 Clause #26 (by clausification #[25]): ∀ (a : Iota), Eq (Not (Eq (domain (skS.0 0 a)) zero → Eq (skS.0 0 a) zero)) True
% 8.22/8.44 Clause #27 (by clausification #[26]): ∀ (a : Iota), Eq (Eq (domain (skS.0 0 a)) zero → Eq (skS.0 0 a) zero) False
% 8.22/8.44 Clause #28 (by clausification #[27]): ∀ (a : Iota), Eq (Eq (domain (skS.0 0 a)) zero) True
% 8.22/8.44 Clause #29 (by clausification #[27]): ∀ (a : Iota), Eq (Eq (skS.0 0 a) zero) False
% 8.22/8.44 Clause #30 (by clausification #[28]): ∀ (a : Iota), Eq (domain (skS.0 0 a)) zero
% 8.22/8.44 Clause #36 (by clausification #[2]): ∀ (a : Iota), Eq (Eq (addition a zero) a) True
% 8.22/8.44 Clause #37 (by clausification #[36]): ∀ (a : Iota), Eq (addition a zero) a
% 8.22/8.44 Clause #151 (by clausification #[12]): ∀ (a : Iota), Eq (Eq (addition a (multiplication (domain a) a)) (multiplication (domain a) a)) True
% 8.22/8.44 Clause #152 (by clausification #[151]): ∀ (a : Iota), Eq (addition a (multiplication (domain a) a)) (multiplication (domain a) a)
% 8.22/8.44 Clause #160 (by superposition #[152, 30]): ∀ (a : Iota), Eq (addition (skS.0 0 a) (multiplication zero (skS.0 0 a))) (multiplication zero (skS.0 0 a))
% 8.22/8.44 Clause #215 (by clausification #[29]): ∀ (a : Iota), Ne (skS.0 0 a) zero
% 8.22/8.44 Clause #2930 (by forward demodulation #[160, 22]): ∀ (a : Iota), Eq (addition (skS.0 0 a) zero) (multiplication zero (skS.0 0 a))
% 8.22/8.44 Clause #2931 (by forward demodulation #[2930, 22]): ∀ (a : Iota), Eq (addition (skS.0 0 a) zero) zero
% 8.22/8.44 Clause #2932 (by superposition #[2931, 37]): ∀ (a : Iota), Eq zero (skS.0 0 a)
% 8.22/8.44 Clause #2962 (by forward contextual literal cutting #[2932, 215]): False
% 8.22/8.44 SZS output end Proof for theBenchmark.p
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