%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUM531+1 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n003.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 07:56:40 PM UTC 2025 % Result : Theorem 3.95s 4.14s % Output : Proof 3.95s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.13 % Problem : NUM531+1 : TPTP v9.2.0. Released v4.0.0. % 0.12/0.14 % Command : duper %s % 0.14/0.35 % Computer : n003.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 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 300 % 0.14/0.35 % DateTime : Fri Oct 3 08:24:38 EDT 2025 % 0.14/0.35 % CPUTime : % 3.95/4.14 SZS status Theorem for theBenchmark.p % 3.95/4.14 SZS output start Proof for theBenchmark.p % 3.95/4.14 Clause #5 (by assumption #[]): Eq (isFinite0 slcrc0) True % 3.95/4.14 Clause #7 (by assumption #[]): Eq (∀ (W0 : Iota), And (aSet0 W0) (isCountable0 W0) → Not (isFinite0 W0)) True % 3.95/4.14 Clause #8 (by assumption #[]): Eq (Not (∀ (W0 : Iota), And (aSet0 W0) (isCountable0 W0) → Ne W0 slcrc0)) True % 3.95/4.14 Clause #23 (by clausification #[7]): ∀ (a : Iota), Eq (And (aSet0 a) (isCountable0 a) → Not (isFinite0 a)) True % 3.95/4.14 Clause #24 (by clausification #[23]): ∀ (a : Iota), Or (Eq (And (aSet0 a) (isCountable0 a)) False) (Eq (Not (isFinite0 a)) True) % 3.95/4.14 Clause #25 (by clausification #[24]): ∀ (a : Iota), Or (Eq (Not (isFinite0 a)) True) (Or (Eq (aSet0 a) False) (Eq (isCountable0 a) False)) % 3.95/4.14 Clause #26 (by clausification #[25]): ∀ (a : Iota), Or (Eq (aSet0 a) False) (Or (Eq (isCountable0 a) False) (Eq (isFinite0 a) False)) % 3.95/4.14 Clause #27 (by clausification #[8]): Eq (∀ (W0 : Iota), And (aSet0 W0) (isCountable0 W0) → Ne W0 slcrc0) False % 3.95/4.14 Clause #28 (by clausification #[27]): ∀ (a : Iota), Eq (Not (And (aSet0 (skS.0 0 a)) (isCountable0 (skS.0 0 a)) → Ne (skS.0 0 a) slcrc0)) True % 3.95/4.14 Clause #29 (by clausification #[28]): ∀ (a : Iota), Eq (And (aSet0 (skS.0 0 a)) (isCountable0 (skS.0 0 a)) → Ne (skS.0 0 a) slcrc0) False % 3.95/4.14 Clause #30 (by clausification #[29]): ∀ (a : Iota), Eq (And (aSet0 (skS.0 0 a)) (isCountable0 (skS.0 0 a))) True % 3.95/4.14 Clause #31 (by clausification #[29]): ∀ (a : Iota), Eq (Ne (skS.0 0 a) slcrc0) False % 3.95/4.14 Clause #32 (by clausification #[30]): ∀ (a : Iota), Eq (isCountable0 (skS.0 0 a)) True % 3.95/4.14 Clause #33 (by clausification #[30]): ∀ (a : Iota), Eq (aSet0 (skS.0 0 a)) True % 3.95/4.14 Clause #36 (by clausification #[31]): ∀ (a : Iota), Eq (skS.0 0 a) slcrc0 % 3.95/4.14 Clause #37 (by backward demodulation #[36, 32]): Eq (isCountable0 slcrc0) True % 3.95/4.14 Clause #38 (by backward demodulation #[36, 33]): Eq (aSet0 slcrc0) True % 3.95/4.14 Clause #40 (by superposition #[38, 26]): Or (Eq True False) (Or (Eq (isCountable0 slcrc0) False) (Eq (isFinite0 slcrc0) False)) % 3.95/4.14 Clause #49 (by clausification #[40]): Or (Eq (isCountable0 slcrc0) False) (Eq (isFinite0 slcrc0) False) % 3.95/4.14 Clause #50 (by forward demodulation #[49, 5]): Or (Eq (isCountable0 slcrc0) False) (Eq True False) % 3.95/4.14 Clause #51 (by clausification #[50]): Eq (isCountable0 slcrc0) False % 3.95/4.14 Clause #52 (by superposition #[51, 37]): Eq False True % 3.95/4.14 Clause #53 (by clausification #[52]): False % 3.95/4.14 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------