%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUM464+1 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n022.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 : Fri Oct 3 07:56:32 PM UTC 2025 % Result : Theorem 17.55s 17.74s % Output : Proof 17.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : NUM464+1 : TPTP v9.2.0. Released v4.0.0. % 0.07/0.14 % Command : duper %s % 0.14/0.35 % Computer : n022.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.36 % CPULimit : 300 % 0.14/0.36 % WCLimit : 300 % 0.14/0.36 % DateTime : Fri Oct 3 07:13:23 EDT 2025 % 0.14/0.36 % CPUTime : % 17.55/17.74 SZS status Theorem for theBenchmark.p % 17.55/17.74 SZS output start Proof for theBenchmark.p % 17.55/17.74 Clause #2 (by assumption #[]): Eq (And (aNaturalNumber0 sz10) (Ne sz10 sz00)) True % 17.55/17.74 Clause #19 (by assumption #[]): Eq (∀ (W0 : Iota), aNaturalNumber0 W0 → sdtlseqdt0 W0 W0) True % 17.55/17.74 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 % 17.55/17.74 Clause #26 (by assumption #[]): Eq (And (aNaturalNumber0 xm) (aNaturalNumber0 xn)) True % 17.55/17.74 Clause #27 (by assumption #[]): Eq (Not (Ne xm sz00 → sdtlseqdt0 sz10 xm)) True % 17.55/17.74 Clause #30 (by clausification #[27]): Eq (Ne xm sz00 → sdtlseqdt0 sz10 xm) False % 17.55/17.74 Clause #31 (by clausification #[30]): Eq (Ne xm sz00) True % 17.55/17.74 Clause #32 (by clausification #[30]): Eq (sdtlseqdt0 sz10 xm) False % 17.55/17.74 Clause #33 (by clausification #[31]): Ne xm sz00 % 17.55/17.74 Clause #35 (by clausification #[26]): Eq (aNaturalNumber0 xm) True % 17.55/17.74 Clause #37 (by clausification #[2]): Eq (aNaturalNumber0 sz10) True % 17.55/17.74 Clause #39 (by clausification #[19]): ∀ (a : Iota), Eq (aNaturalNumber0 a → sdtlseqdt0 a a) True % 17.55/17.74 Clause #40 (by clausification #[39]): ∀ (a : Iota), Or (Eq (aNaturalNumber0 a) False) (Eq (sdtlseqdt0 a a) True) % 17.55/17.74 Clause #43 (by superposition #[40, 37]): Or (Eq (sdtlseqdt0 sz10 sz10) True) (Eq False True) % 17.55/17.74 Clause #46 (by clausification #[43]): Eq (sdtlseqdt0 sz10 sz10) True % 17.55/17.74 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 % 17.55/17.74 Clause #665 (by clausification #[664]): ∀ (a : Iota), % 17.55/17.74 Or (Eq (aNaturalNumber0 a) False) (Eq (Or (Or (Eq a sz00) (Eq a sz10)) (And (Ne sz10 a) (sdtlseqdt0 sz10 a))) True) % 17.55/17.74 Clause #666 (by clausification #[665]): ∀ (a : Iota), % 17.55/17.74 Or (Eq (aNaturalNumber0 a) False) % 17.55/17.74 (Or (Eq (Or (Eq a sz00) (Eq a sz10)) True) (Eq (And (Ne sz10 a) (sdtlseqdt0 sz10 a)) True)) % 17.55/17.74 Clause #667 (by clausification #[666]): ∀ (a : Iota), % 17.55/17.74 Or (Eq (aNaturalNumber0 a) False) % 17.55/17.74 (Or (Eq (And (Ne sz10 a) (sdtlseqdt0 sz10 a)) True) (Or (Eq (Eq a sz00) True) (Eq (Eq a sz10) True))) % 17.55/17.74 Clause #668 (by clausification #[667]): ∀ (a : Iota), % 17.55/17.74 Or (Eq (aNaturalNumber0 a) False) (Or (Eq (Eq a sz00) True) (Or (Eq (Eq a sz10) True) (Eq (sdtlseqdt0 sz10 a) True))) % 17.55/17.74 Clause #670 (by clausification #[668]): ∀ (a : Iota), % 17.55/17.74 Or (Eq (aNaturalNumber0 a) False) (Or (Eq (Eq a sz10) True) (Or (Eq (sdtlseqdt0 sz10 a) True) (Eq a sz00))) % 17.55/17.74 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))) % 17.55/17.74 Clause #675 (by superposition #[671, 35]): Or (Eq (sdtlseqdt0 sz10 xm) True) (Or (Eq xm sz00) (Or (Eq xm sz10) (Eq False True))) % 17.55/17.74 Clause #8226 (by clausification #[675]): Or (Eq (sdtlseqdt0 sz10 xm) True) (Or (Eq xm sz00) (Eq xm sz10)) % 17.55/17.74 Clause #8227 (by forward contextual literal cutting #[8226, 33]): Or (Eq (sdtlseqdt0 sz10 xm) True) (Eq xm sz10) % 17.55/17.74 Clause #8228 (by superposition #[8227, 32]): Or (Eq xm sz10) (Eq True False) % 17.55/17.74 Clause #8232 (by clausification #[8228]): Eq xm sz10 % 17.55/17.74 Clause #8233 (by backward demodulation #[8232, 32]): Eq (sdtlseqdt0 sz10 sz10) False % 17.55/17.74 Clause #8363 (by superposition #[8233, 46]): Eq False True % 17.55/17.74 Clause #8364 (by clausification #[8363]): False % 17.55/17.74 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------