%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : RNG124+4 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n007.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 07:58:58 PM UTC 2025 % Result : Theorem 6.44s 6.68s % Output : Proof 6.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : RNG124+4 : TPTP v9.2.0. Released v4.0.0. % 0.06/0.13 % Command : duper %s % 0.14/0.34 % Computer : n007.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Fri Oct 3 10:59:38 EDT 2025 % 0.14/0.34 % CPUTime : % 6.44/6.68 SZS status Theorem for theBenchmark.p % 6.44/6.68 SZS output start Proof for theBenchmark.p % 6.44/6.68 Clause #44 (by assumption #[]): Eq % 6.44/6.68 (And % 6.44/6.68 (And % 6.44/6.68 (And % 6.44/6.68 (Exists fun W0 => % 6.44/6.68 Exists fun W1 => % 6.44/6.68 And (And (aElementOf0 W0 (slsdtgt0 xa)) (aElementOf0 W1 (slsdtgt0 xb))) (Eq (sdtpldt0 W0 W1) xu)) % 6.44/6.68 (aElementOf0 xu xI)) % 6.44/6.68 (Ne xu sz00)) % 6.44/6.68 (∀ (W0 : Iota), % 6.44/6.68 And % 6.44/6.68 (Or % 6.44/6.68 (Exists fun W1 => % 6.44/6.68 Exists fun W2 => % 6.44/6.68 And (And (aElementOf0 W1 (slsdtgt0 xa)) (aElementOf0 W2 (slsdtgt0 xb))) (Eq (sdtpldt0 W1 W2) W0)) % 6.44/6.68 (aElementOf0 W0 xI)) % 6.44/6.68 (Ne W0 sz00) → % 6.44/6.68 Not (iLess0 (sbrdtbr0 W0) (sbrdtbr0 xu)))) % 6.44/6.68 True % 6.44/6.68 Clause #49 (by assumption #[]): Eq % 6.44/6.68 (And (And (And (aElement0 xq) (aElement0 xr)) (Eq xb (sdtpldt0 (sdtasdt0 xq xu) xr))) % 6.44/6.68 (Or (Eq xr sz00) (iLess0 (sbrdtbr0 xr) (sbrdtbr0 xu)))) % 6.44/6.68 True % 6.44/6.68 Clause #50 (by assumption #[]): Eq (Ne xr sz00) True % 6.44/6.68 Clause #54 (by assumption #[]): Eq % 6.44/6.68 (And % 6.44/6.68 (Exists fun W0 => % 6.44/6.68 Exists fun W1 => And (And (aElementOf0 W0 (slsdtgt0 xa)) (aElementOf0 W1 (slsdtgt0 xb))) (Eq (sdtpldt0 W0 W1) xr)) % 6.44/6.68 (aElementOf0 xr xI)) % 6.44/6.68 True % 6.44/6.68 Clause #68 (by clausification #[50]): Ne xr sz00 % 6.44/6.68 Clause #1742 (by clausification #[44]): Eq % 6.44/6.68 (∀ (W0 : Iota), % 6.44/6.68 And % 6.44/6.68 (Or % 6.44/6.68 (Exists fun W1 => % 6.44/6.68 Exists fun W2 => % 6.44/6.68 And (And (aElementOf0 W1 (slsdtgt0 xa)) (aElementOf0 W2 (slsdtgt0 xb))) (Eq (sdtpldt0 W1 W2) W0)) % 6.44/6.68 (aElementOf0 W0 xI)) % 6.44/6.68 (Ne W0 sz00) → % 6.44/6.68 Not (iLess0 (sbrdtbr0 W0) (sbrdtbr0 xu))) % 6.44/6.68 True % 6.44/6.68 Clause #1744 (by clausification #[1742]): ∀ (a : Iota), % 6.44/6.68 Eq % 6.44/6.68 (And % 6.44/6.68 (Or % 6.44/6.68 (Exists fun W1 => % 6.44/6.68 Exists fun W2 => % 6.44/6.68 And (And (aElementOf0 W1 (slsdtgt0 xa)) (aElementOf0 W2 (slsdtgt0 xb))) (Eq (sdtpldt0 W1 W2) a)) % 6.44/6.68 (aElementOf0 a xI)) % 6.44/6.68 (Ne a sz00) → % 6.44/6.68 Not (iLess0 (sbrdtbr0 a) (sbrdtbr0 xu))) % 6.44/6.68 True % 6.44/6.68 Clause #1745 (by clausification #[1744]): ∀ (a : Iota), % 6.44/6.68 Or % 6.44/6.68 (Eq % 6.44/6.68 (And % 6.44/6.68 (Or % 6.44/6.68 (Exists fun W1 => % 6.44/6.68 Exists fun W2 => % 6.44/6.68 And (And (aElementOf0 W1 (slsdtgt0 xa)) (aElementOf0 W2 (slsdtgt0 xb))) (Eq (sdtpldt0 W1 W2) a)) % 6.44/6.68 (aElementOf0 a xI)) % 6.44/6.68 (Ne a sz00)) % 6.44/6.68 False) % 6.44/6.68 (Eq (Not (iLess0 (sbrdtbr0 a) (sbrdtbr0 xu))) True) % 6.44/6.68 Clause #1746 (by clausification #[1745]): ∀ (a : Iota), % 6.44/6.68 Or (Eq (Not (iLess0 (sbrdtbr0 a) (sbrdtbr0 xu))) True) % 6.44/6.68 (Or % 6.44/6.68 (Eq % 6.44/6.68 (Or % 6.44/6.68 (Exists fun W1 => % 6.44/6.68 Exists fun W2 => % 6.44/6.68 And (And (aElementOf0 W1 (slsdtgt0 xa)) (aElementOf0 W2 (slsdtgt0 xb))) (Eq (sdtpldt0 W1 W2) a)) % 6.44/6.68 (aElementOf0 a xI)) % 6.44/6.68 False) % 6.44/6.68 (Eq (Ne a sz00) False)) % 6.44/6.68 Clause #1747 (by clausification #[1746]): ∀ (a : Iota), % 6.44/6.68 Or % 6.44/6.68 (Eq % 6.44/6.68 (Or % 6.44/6.68 (Exists fun W1 => % 6.44/6.68 Exists fun W2 => % 6.44/6.68 And (And (aElementOf0 W1 (slsdtgt0 xa)) (aElementOf0 W2 (slsdtgt0 xb))) (Eq (sdtpldt0 W1 W2) a)) % 6.44/6.68 (aElementOf0 a xI)) % 6.44/6.68 False) % 6.44/6.68 (Or (Eq (Ne a sz00) False) (Eq (iLess0 (sbrdtbr0 a) (sbrdtbr0 xu)) False)) % 6.44/6.68 Clause #1748 (by clausification #[1747]): ∀ (a : Iota), % 6.44/6.68 Or (Eq (Ne a sz00) False) (Or (Eq (iLess0 (sbrdtbr0 a) (sbrdtbr0 xu)) False) (Eq (aElementOf0 a xI) False)) % 6.44/6.68 Clause #1750 (by clausification #[1748]): ∀ (a : Iota), Or (Eq (iLess0 (sbrdtbr0 a) (sbrdtbr0 xu)) False) (Or (Eq (aElementOf0 a xI) False) (Eq a sz00)) % 6.44/6.68 Clause #2058 (by clausification #[49]): Eq (Or (Eq xr sz00) (iLess0 (sbrdtbr0 xr) (sbrdtbr0 xu))) True % 6.44/6.68 Clause #2060 (by clausification #[2058]): Or (Eq (Eq xr sz00) True) (Eq (iLess0 (sbrdtbr0 xr) (sbrdtbr0 xu)) True) % 6.44/6.68 Clause #2061 (by clausification #[2060]): Or (Eq (iLess0 (sbrdtbr0 xr) (sbrdtbr0 xu)) True) (Eq xr sz00) % 6.44/6.68 Clause #2062 (by forward contextual literal cutting #[2061, 68]): Eq (iLess0 (sbrdtbr0 xr) (sbrdtbr0 xu)) True % 6.44/6.68 Clause #2063 (by superposition #[2062, 1750]): Or (Eq True False) (Or (Eq (aElementOf0 xr xI) False) (Eq xr sz00)) % 6.44/6.68 Clause #2064 (by clausification #[2063]): Or (Eq (aElementOf0 xr xI) False) (Eq xr sz00) % 6.44/6.68 Clause #2065 (by forward contextual literal cutting #[2064, 68]): Eq (aElementOf0 xr xI) False % 6.44/6.68 Clause #2326 (by clausification #[54]): Eq (aElementOf0 xr xI) True % 6.44/6.68 Clause #2328 (by superposition #[2326, 2065]): Eq True False % 6.44/6.68 Clause #2329 (by clausification #[2328]): False % 6.44/6.68 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------