TSTP Solution File: NUM464+1 by Duper---1.0
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% File : Duper---1.0
% Problem : NUM464+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n005.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 10:55:46 EDT 2023
% Result : Theorem 17.28s 17.50s
% Output : Proof 17.28s
% 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 : NUM464+1 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n005.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 : Fri Aug 25 08:58:23 EDT 2023
% 0.13/0.34 % CPUTime :
% 17.28/17.50 SZS status Theorem for theBenchmark.p
% 17.28/17.50 SZS output start Proof for theBenchmark.p
% 17.28/17.50 Clause #2 (by assumption #[]): Eq (And (aNaturalNumber0 sz10) (Ne sz10 sz00)) True
% 17.28/17.50 Clause #19 (by assumption #[]): Eq (∀ (W0 : Iota), aNaturalNumber0 W0 → sdtlseqdt0 W0 W0) True
% 17.28/17.50 Clause #25 (by assumption #[]): Eq (∀ (W0 : Iota), aNaturalNumber0 W0 → Or (Or (Eq W0 sz00) (Eq W0 sz10)) (And (Ne sz10 W0) (sdtlseqdt0 sz10 W0))) True
% 17.28/17.50 Clause #26 (by assumption #[]): Eq (And (aNaturalNumber0 xm) (aNaturalNumber0 xn)) True
% 17.28/17.50 Clause #27 (by assumption #[]): Eq (Not (Ne xm sz00 → sdtlseqdt0 sz10 xm)) True
% 17.28/17.50 Clause #30 (by clausification #[27]): Eq (Ne xm sz00 → sdtlseqdt0 sz10 xm) False
% 17.28/17.50 Clause #31 (by clausification #[30]): Eq (Ne xm sz00) True
% 17.28/17.50 Clause #32 (by clausification #[30]): Eq (sdtlseqdt0 sz10 xm) False
% 17.28/17.50 Clause #33 (by clausification #[31]): Ne xm sz00
% 17.28/17.50 Clause #35 (by clausification #[26]): Eq (aNaturalNumber0 xm) True
% 17.28/17.50 Clause #37 (by clausification #[2]): Eq (aNaturalNumber0 sz10) True
% 17.28/17.50 Clause #39 (by clausification #[19]): ∀ (a : Iota), Eq (aNaturalNumber0 a → sdtlseqdt0 a a) True
% 17.28/17.50 Clause #40 (by clausification #[39]): ∀ (a : Iota), Or (Eq (aNaturalNumber0 a) False) (Eq (sdtlseqdt0 a a) True)
% 17.28/17.50 Clause #43 (by superposition #[40, 37]): Or (Eq (sdtlseqdt0 sz10 sz10) True) (Eq False True)
% 17.28/17.50 Clause #46 (by clausification #[43]): Eq (sdtlseqdt0 sz10 sz10) True
% 17.28/17.50 Clause #664 (by clausification #[25]): ∀ (a : Iota), Eq (aNaturalNumber0 a → Or (Or (Eq a sz00) (Eq a sz10)) (And (Ne sz10 a) (sdtlseqdt0 sz10 a))) True
% 17.28/17.50 Clause #665 (by clausification #[664]): ∀ (a : Iota),
% 17.28/17.50 Or (Eq (aNaturalNumber0 a) False) (Eq (Or (Or (Eq a sz00) (Eq a sz10)) (And (Ne sz10 a) (sdtlseqdt0 sz10 a))) True)
% 17.28/17.50 Clause #666 (by clausification #[665]): ∀ (a : Iota),
% 17.28/17.50 Or (Eq (aNaturalNumber0 a) False)
% 17.28/17.50 (Or (Eq (Or (Eq a sz00) (Eq a sz10)) True) (Eq (And (Ne sz10 a) (sdtlseqdt0 sz10 a)) True))
% 17.28/17.50 Clause #667 (by clausification #[666]): ∀ (a : Iota),
% 17.28/17.50 Or (Eq (aNaturalNumber0 a) False)
% 17.28/17.50 (Or (Eq (And (Ne sz10 a) (sdtlseqdt0 sz10 a)) True) (Or (Eq (Eq a sz00) True) (Eq (Eq a sz10) True)))
% 17.28/17.50 Clause #668 (by clausification #[667]): ∀ (a : Iota),
% 17.28/17.50 Or (Eq (aNaturalNumber0 a) False) (Or (Eq (Eq a sz00) True) (Or (Eq (Eq a sz10) True) (Eq (sdtlseqdt0 sz10 a) True)))
% 17.28/17.50 Clause #670 (by clausification #[668]): ∀ (a : Iota),
% 17.28/17.50 Or (Eq (aNaturalNumber0 a) False) (Or (Eq (Eq a sz10) True) (Or (Eq (sdtlseqdt0 sz10 a) True) (Eq a sz00)))
% 17.28/17.50 Clause #671 (by clausification #[670]): ∀ (a : Iota), Or (Eq (aNaturalNumber0 a) False) (Or (Eq (sdtlseqdt0 sz10 a) True) (Or (Eq a sz00) (Eq a sz10)))
% 17.28/17.50 Clause #675 (by superposition #[671, 35]): Or (Eq (sdtlseqdt0 sz10 xm) True) (Or (Eq xm sz00) (Or (Eq xm sz10) (Eq False True)))
% 17.28/17.50 Clause #8226 (by clausification #[675]): Or (Eq (sdtlseqdt0 sz10 xm) True) (Or (Eq xm sz00) (Eq xm sz10))
% 17.28/17.50 Clause #8227 (by forward contextual literal cutting #[8226, 33]): Or (Eq (sdtlseqdt0 sz10 xm) True) (Eq xm sz10)
% 17.28/17.50 Clause #8228 (by superposition #[8227, 32]): Or (Eq xm sz10) (Eq True False)
% 17.28/17.50 Clause #8232 (by clausification #[8228]): Eq xm sz10
% 17.28/17.50 Clause #8233 (by backward demodulation #[8232, 32]): Eq (sdtlseqdt0 sz10 sz10) False
% 17.28/17.50 Clause #8363 (by superposition #[8233, 46]): Eq False True
% 17.28/17.50 Clause #8364 (by clausification #[8363]): False
% 17.28/17.50 SZS output end Proof for theBenchmark.p
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