%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUM560+2 : TPTP v9.2.0. 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 : Fri Oct 3 07:56:44 PM UTC 2025 % Result : Theorem 239.21s 239.48s % Output : Proof 239.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : NUM560+2 : TPTP v9.2.0. Released v4.0.0. % 0.03/0.13 % Command : duper %s % 0.14/0.35 % Computer : n005.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 07:42:23 EDT 2025 % 0.14/0.35 % CPUTime : % 239.21/239.48 SZS status Theorem for theBenchmark.p % 239.21/239.48 SZS output start Proof for theBenchmark.p % 239.21/239.48 Clause #67 (by assumption #[]): Eq % 239.21/239.48 (Not % 239.21/239.48 (And (aSet0 (sdtlbdtrb0 xF xy)) % 239.21/239.48 (∀ (W0 : Iota), % 239.21/239.48 Iff (aElementOf0 W0 (sdtlbdtrb0 xF xy)) (And (aElementOf0 W0 (szDzozmdt0 xF)) (Eq (sdtlpdtrp0 xF W0) xy))) → % 239.21/239.48 Or (∀ (W0 : Iota), aElementOf0 W0 (sdtlbdtrb0 xF xy) → aElementOf0 W0 (szDzozmdt0 xF)) % 239.21/239.48 (aSubsetOf0 (sdtlbdtrb0 xF xy) (szDzozmdt0 xF)))) % 239.21/239.48 True % 239.21/239.48 Clause #856 (by clausification #[67]): Eq % 239.21/239.48 (And (aSet0 (sdtlbdtrb0 xF xy)) % 239.21/239.48 (∀ (W0 : Iota), % 239.21/239.48 Iff (aElementOf0 W0 (sdtlbdtrb0 xF xy)) (And (aElementOf0 W0 (szDzozmdt0 xF)) (Eq (sdtlpdtrp0 xF W0) xy))) → % 239.21/239.48 Or (∀ (W0 : Iota), aElementOf0 W0 (sdtlbdtrb0 xF xy) → aElementOf0 W0 (szDzozmdt0 xF)) % 239.21/239.48 (aSubsetOf0 (sdtlbdtrb0 xF xy) (szDzozmdt0 xF))) % 239.21/239.48 False % 239.21/239.48 Clause #857 (by clausification #[856]): Eq % 239.21/239.48 (And (aSet0 (sdtlbdtrb0 xF xy)) % 239.21/239.48 (∀ (W0 : Iota), % 239.21/239.48 Iff (aElementOf0 W0 (sdtlbdtrb0 xF xy)) (And (aElementOf0 W0 (szDzozmdt0 xF)) (Eq (sdtlpdtrp0 xF W0) xy)))) % 239.21/239.48 True % 239.21/239.48 Clause #858 (by clausification #[856]): Eq % 239.21/239.48 (Or (∀ (W0 : Iota), aElementOf0 W0 (sdtlbdtrb0 xF xy) → aElementOf0 W0 (szDzozmdt0 xF)) % 239.21/239.48 (aSubsetOf0 (sdtlbdtrb0 xF xy) (szDzozmdt0 xF))) % 239.21/239.48 False % 239.21/239.48 Clause #859 (by clausification #[857]): Eq % 239.21/239.48 (∀ (W0 : Iota), % 239.21/239.48 Iff (aElementOf0 W0 (sdtlbdtrb0 xF xy)) (And (aElementOf0 W0 (szDzozmdt0 xF)) (Eq (sdtlpdtrp0 xF W0) xy))) % 239.21/239.48 True % 239.21/239.48 Clause #861 (by clausification #[859]): ∀ (a : Iota), % 239.21/239.48 Eq (Iff (aElementOf0 a (sdtlbdtrb0 xF xy)) (And (aElementOf0 a (szDzozmdt0 xF)) (Eq (sdtlpdtrp0 xF a) xy))) True % 239.21/239.48 Clause #863 (by clausification #[861]): ∀ (a : Iota), % 239.21/239.48 Or (Eq (aElementOf0 a (sdtlbdtrb0 xF xy)) False) % 239.21/239.48 (Eq (And (aElementOf0 a (szDzozmdt0 xF)) (Eq (sdtlpdtrp0 xF a) xy)) True) % 239.21/239.48 Clause #63271 (by clausification #[858]): Eq (∀ (W0 : Iota), aElementOf0 W0 (sdtlbdtrb0 xF xy) → aElementOf0 W0 (szDzozmdt0 xF)) False % 239.21/239.48 Clause #63272 (by clausification #[63271]): ∀ (a : Iota), Eq (Not (aElementOf0 (skS.0 13 a) (sdtlbdtrb0 xF xy) → aElementOf0 (skS.0 13 a) (szDzozmdt0 xF))) True % 239.21/239.48 Clause #63273 (by clausification #[63272]): ∀ (a : Iota), Eq (aElementOf0 (skS.0 13 a) (sdtlbdtrb0 xF xy) → aElementOf0 (skS.0 13 a) (szDzozmdt0 xF)) False % 239.21/239.48 Clause #63274 (by clausification #[63273]): ∀ (a : Iota), Eq (aElementOf0 (skS.0 13 a) (sdtlbdtrb0 xF xy)) True % 239.21/239.48 Clause #63275 (by clausification #[63273]): ∀ (a : Iota), Eq (aElementOf0 (skS.0 13 a) (szDzozmdt0 xF)) False % 239.21/239.48 Clause #63526 (by clausification #[863]): ∀ (a : Iota), Or (Eq (aElementOf0 a (sdtlbdtrb0 xF xy)) False) (Eq (aElementOf0 a (szDzozmdt0 xF)) True) % 239.21/239.48 Clause #63530 (by superposition #[63526, 63274]): ∀ (a : Iota), Or (Eq (aElementOf0 (skS.0 13 a) (szDzozmdt0 xF)) True) (Eq False True) % 239.21/239.48 Clause #63531 (by clausification #[63530]): ∀ (a : Iota), Eq (aElementOf0 (skS.0 13 a) (szDzozmdt0 xF)) True % 239.21/239.48 Clause #63532 (by superposition #[63531, 63275]): Eq True False % 239.21/239.48 Clause #63536 (by clausification #[63532]): False % 239.21/239.48 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------