%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : LAT381+1 : 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 07:53:32 PM UTC 2025 % Result : Theorem 5.74s 5.89s % Output : Proof 5.79s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.10 % Problem : LAT381+1 : TPTP v9.2.0. Released v4.0.0. % 0.08/0.11 % Command : duper %s % 0.11/0.32 % Computer : n005.cluster.edu % 0.11/0.32 % Model : x86_64 x86_64 % 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.32 % Memory : 8042.1875MB % 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.32 % CPULimit : 300 % 0.11/0.32 % WCLimit : 300 % 0.11/0.32 % DateTime : Thu Oct 2 18:55:38 EDT 2025 % 0.11/0.32 % CPUTime : % 5.74/5.89 SZS status Theorem for theBenchmark.p % 5.74/5.89 SZS output start Proof for theBenchmark.p % 5.74/5.89 Clause #2 (by assumption #[]): Eq (∀ (W0 : Iota), aSet0 W0 → ∀ (W1 : Iota), aElementOf0 W1 W0 → aElement0 W1) True % 5.74/5.89 Clause #7 (by assumption #[]): Eq (∀ (W0 W1 : Iota), And (aElement0 W0) (aElement0 W1) → And (sdtlseqdt0 W0 W1) (sdtlseqdt0 W1 W0) → Eq W0 W1) True % 5.74/5.89 Clause #10 (by assumption #[]): Eq % 5.74/5.89 (∀ (W0 : Iota), % 5.74/5.89 aSet0 W0 → % 5.74/5.89 ∀ (W1 : Iota), % 5.74/5.89 aSubsetOf0 W1 W0 → % 5.74/5.89 ∀ (W2 : Iota), % 5.74/5.89 Iff (aUpperBoundOfIn0 W2 W1 W0) % 5.74/5.89 (And (aElementOf0 W2 W0) (∀ (W3 : Iota), aElementOf0 W3 W1 → sdtlseqdt0 W3 W2))) % 5.74/5.89 True % 5.74/5.89 Clause #12 (by assumption #[]): Eq % 5.74/5.89 (∀ (W0 : Iota), % 5.74/5.89 aSet0 W0 → % 5.74/5.89 ∀ (W1 : Iota), % 5.74/5.89 aSubsetOf0 W1 W0 → % 5.74/5.89 ∀ (W2 : Iota), % 5.74/5.89 Iff (aSupremumOfIn0 W2 W1 W0) % 5.74/5.89 (And (And (aElementOf0 W2 W0) (aUpperBoundOfIn0 W2 W1 W0)) % 5.74/5.89 (∀ (W3 : Iota), aUpperBoundOfIn0 W3 W1 W0 → sdtlseqdt0 W2 W3))) % 5.74/5.89 True % 5.74/5.89 Clause #13 (by assumption #[]): Eq (aSet0 xT) True % 5.74/5.89 Clause #14 (by assumption #[]): Eq (aSubsetOf0 xS xT) True % 5.74/5.89 Clause #15 (by assumption #[]): Eq (And (aSupremumOfIn0 xu xS xT) (aSupremumOfIn0 xv xS xT)) True % 5.74/5.89 Clause #16 (by assumption #[]): Eq (Not (Eq xu xv)) True % 5.74/5.89 Clause #21 (by clausification #[16]): Eq (Eq xu xv) False % 5.74/5.89 Clause #22 (by clausification #[21]): Ne xu xv % 5.74/5.89 Clause #23 (by clausification #[2]): ∀ (a : Iota), Eq (aSet0 a → ∀ (W1 : Iota), aElementOf0 W1 a → aElement0 W1) True % 5.74/5.89 Clause #24 (by clausification #[23]): ∀ (a : Iota), Or (Eq (aSet0 a) False) (Eq (∀ (W1 : Iota), aElementOf0 W1 a → aElement0 W1) True) % 5.74/5.89 Clause #25 (by clausification #[24]): ∀ (a a_1 : Iota), Or (Eq (aSet0 a) False) (Eq (aElementOf0 a_1 a → aElement0 a_1) True) % 5.74/5.89 Clause #26 (by clausification #[25]): ∀ (a a_1 : Iota), Or (Eq (aSet0 a) False) (Or (Eq (aElementOf0 a_1 a) False) (Eq (aElement0 a_1) True)) % 5.74/5.89 Clause #27 (by superposition #[26, 13]): ∀ (a : Iota), Or (Eq (aElementOf0 a xT) False) (Or (Eq (aElement0 a) True) (Eq False True)) % 5.74/5.89 Clause #43 (by clausification #[27]): ∀ (a : Iota), Or (Eq (aElementOf0 a xT) False) (Eq (aElement0 a) True) % 5.74/5.89 Clause #44 (by clausification #[7]): ∀ (a : Iota), % 5.74/5.89 Eq (∀ (W1 : Iota), And (aElement0 a) (aElement0 W1) → And (sdtlseqdt0 a W1) (sdtlseqdt0 W1 a) → Eq a W1) True % 5.74/5.89 Clause #45 (by clausification #[44]): ∀ (a a_1 : Iota), Eq (And (aElement0 a) (aElement0 a_1) → And (sdtlseqdt0 a a_1) (sdtlseqdt0 a_1 a) → Eq a a_1) True % 5.74/5.89 Clause #46 (by clausification #[45]): ∀ (a a_1 : Iota), % 5.74/5.89 Or (Eq (And (aElement0 a) (aElement0 a_1)) False) (Eq (And (sdtlseqdt0 a a_1) (sdtlseqdt0 a_1 a) → Eq a a_1) True) % 5.74/5.89 Clause #47 (by clausification #[46]): ∀ (a a_1 : Iota), % 5.74/5.89 Or (Eq (And (sdtlseqdt0 a a_1) (sdtlseqdt0 a_1 a) → Eq a a_1) True) % 5.74/5.89 (Or (Eq (aElement0 a) False) (Eq (aElement0 a_1) False)) % 5.74/5.89 Clause #48 (by clausification #[47]): ∀ (a a_1 : Iota), % 5.74/5.89 Or (Eq (aElement0 a) False) % 5.74/5.89 (Or (Eq (aElement0 a_1) False) (Or (Eq (And (sdtlseqdt0 a a_1) (sdtlseqdt0 a_1 a)) False) (Eq (Eq a a_1) True))) % 5.74/5.89 Clause #49 (by clausification #[48]): ∀ (a a_1 : Iota), % 5.74/5.89 Or (Eq (aElement0 a) False) % 5.74/5.89 (Or (Eq (aElement0 a_1) False) % 5.74/5.89 (Or (Eq (Eq a a_1) True) (Or (Eq (sdtlseqdt0 a a_1) False) (Eq (sdtlseqdt0 a_1 a) False)))) % 5.74/5.89 Clause #50 (by clausification #[49]): ∀ (a a_1 : Iota), % 5.74/5.89 Or (Eq (aElement0 a) False) % 5.74/5.89 (Or (Eq (aElement0 a_1) False) (Or (Eq (sdtlseqdt0 a a_1) False) (Or (Eq (sdtlseqdt0 a_1 a) False) (Eq a a_1)))) % 5.74/5.89 Clause #58 (by clausification #[15]): Eq (aSupremumOfIn0 xv xS xT) True % 5.74/5.89 Clause #59 (by clausification #[15]): Eq (aSupremumOfIn0 xu xS xT) True % 5.74/5.89 Clause #116 (by clausification #[10]): ∀ (a : Iota), % 5.74/5.89 Eq % 5.74/5.89 (aSet0 a → % 5.74/5.89 ∀ (W1 : Iota), % 5.74/5.89 aSubsetOf0 W1 a → % 5.74/5.89 ∀ (W2 : Iota), % 5.74/5.89 Iff (aUpperBoundOfIn0 W2 W1 a) % 5.74/5.89 (And (aElementOf0 W2 a) (∀ (W3 : Iota), aElementOf0 W3 W1 → sdtlseqdt0 W3 W2))) % 5.74/5.89 True % 5.74/5.89 Clause #117 (by clausification #[116]): ∀ (a : Iota), % 5.74/5.89 Or (Eq (aSet0 a) False) % 5.74/5.89 (Eq % 5.74/5.89 (∀ (W1 : Iota), % 5.74/5.89 aSubsetOf0 W1 a → % 5.74/5.89 ∀ (W2 : Iota), % 5.74/5.91 Iff (aUpperBoundOfIn0 W2 W1 a) % 5.74/5.91 (And (aElementOf0 W2 a) (∀ (W3 : Iota), aElementOf0 W3 W1 → sdtlseqdt0 W3 W2))) % 5.74/5.91 True) % 5.74/5.91 Clause #118 (by clausification #[117]): ∀ (a a_1 : Iota), % 5.74/5.91 Or (Eq (aSet0 a) False) % 5.74/5.91 (Eq % 5.74/5.91 (aSubsetOf0 a_1 a → % 5.74/5.91 ∀ (W2 : Iota), % 5.74/5.91 Iff (aUpperBoundOfIn0 W2 a_1 a) % 5.74/5.91 (And (aElementOf0 W2 a) (∀ (W3 : Iota), aElementOf0 W3 a_1 → sdtlseqdt0 W3 W2))) % 5.74/5.91 True) % 5.74/5.91 Clause #119 (by clausification #[118]): ∀ (a a_1 : Iota), % 5.74/5.91 Or (Eq (aSet0 a) False) % 5.74/5.91 (Or (Eq (aSubsetOf0 a_1 a) False) % 5.74/5.91 (Eq % 5.74/5.91 (∀ (W2 : Iota), % 5.74/5.91 Iff (aUpperBoundOfIn0 W2 a_1 a) % 5.74/5.91 (And (aElementOf0 W2 a) (∀ (W3 : Iota), aElementOf0 W3 a_1 → sdtlseqdt0 W3 W2))) % 5.74/5.91 True)) % 5.74/5.91 Clause #120 (by clausification #[119]): ∀ (a a_1 a_2 : Iota), % 5.74/5.91 Or (Eq (aSet0 a) False) % 5.74/5.91 (Or (Eq (aSubsetOf0 a_1 a) False) % 5.74/5.91 (Eq % 5.74/5.91 (Iff (aUpperBoundOfIn0 a_2 a_1 a) % 5.74/5.91 (And (aElementOf0 a_2 a) (∀ (W3 : Iota), aElementOf0 W3 a_1 → sdtlseqdt0 W3 a_2))) % 5.74/5.91 True)) % 5.74/5.91 Clause #122 (by clausification #[120]): ∀ (a a_1 a_2 : Iota), % 5.74/5.91 Or (Eq (aSet0 a) False) % 5.74/5.91 (Or (Eq (aSubsetOf0 a_1 a) False) % 5.74/5.91 (Or (Eq (aUpperBoundOfIn0 a_2 a_1 a) False) % 5.74/5.91 (Eq (And (aElementOf0 a_2 a) (∀ (W3 : Iota), aElementOf0 W3 a_1 → sdtlseqdt0 W3 a_2)) True))) % 5.74/5.91 Clause #167 (by clausification #[12]): ∀ (a : Iota), % 5.74/5.91 Eq % 5.74/5.91 (aSet0 a → % 5.74/5.91 ∀ (W1 : Iota), % 5.74/5.91 aSubsetOf0 W1 a → % 5.74/5.91 ∀ (W2 : Iota), % 5.74/5.91 Iff (aSupremumOfIn0 W2 W1 a) % 5.74/5.91 (And (And (aElementOf0 W2 a) (aUpperBoundOfIn0 W2 W1 a)) % 5.74/5.91 (∀ (W3 : Iota), aUpperBoundOfIn0 W3 W1 a → sdtlseqdt0 W2 W3))) % 5.74/5.91 True % 5.74/5.91 Clause #168 (by clausification #[167]): ∀ (a : Iota), % 5.74/5.91 Or (Eq (aSet0 a) False) % 5.74/5.91 (Eq % 5.74/5.91 (∀ (W1 : Iota), % 5.74/5.91 aSubsetOf0 W1 a → % 5.74/5.91 ∀ (W2 : Iota), % 5.74/5.91 Iff (aSupremumOfIn0 W2 W1 a) % 5.74/5.91 (And (And (aElementOf0 W2 a) (aUpperBoundOfIn0 W2 W1 a)) % 5.74/5.91 (∀ (W3 : Iota), aUpperBoundOfIn0 W3 W1 a → sdtlseqdt0 W2 W3))) % 5.74/5.91 True) % 5.74/5.91 Clause #169 (by clausification #[168]): ∀ (a a_1 : Iota), % 5.74/5.91 Or (Eq (aSet0 a) False) % 5.74/5.91 (Eq % 5.74/5.91 (aSubsetOf0 a_1 a → % 5.74/5.91 ∀ (W2 : Iota), % 5.74/5.91 Iff (aSupremumOfIn0 W2 a_1 a) % 5.74/5.91 (And (And (aElementOf0 W2 a) (aUpperBoundOfIn0 W2 a_1 a)) % 5.74/5.91 (∀ (W3 : Iota), aUpperBoundOfIn0 W3 a_1 a → sdtlseqdt0 W2 W3))) % 5.74/5.91 True) % 5.74/5.91 Clause #170 (by clausification #[169]): ∀ (a a_1 : Iota), % 5.74/5.91 Or (Eq (aSet0 a) False) % 5.74/5.91 (Or (Eq (aSubsetOf0 a_1 a) False) % 5.74/5.91 (Eq % 5.74/5.91 (∀ (W2 : Iota), % 5.74/5.91 Iff (aSupremumOfIn0 W2 a_1 a) % 5.74/5.91 (And (And (aElementOf0 W2 a) (aUpperBoundOfIn0 W2 a_1 a)) % 5.74/5.91 (∀ (W3 : Iota), aUpperBoundOfIn0 W3 a_1 a → sdtlseqdt0 W2 W3))) % 5.74/5.91 True)) % 5.74/5.91 Clause #171 (by clausification #[170]): ∀ (a a_1 a_2 : Iota), % 5.74/5.91 Or (Eq (aSet0 a) False) % 5.74/5.91 (Or (Eq (aSubsetOf0 a_1 a) False) % 5.74/5.91 (Eq % 5.74/5.91 (Iff (aSupremumOfIn0 a_2 a_1 a) % 5.74/5.91 (And (And (aElementOf0 a_2 a) (aUpperBoundOfIn0 a_2 a_1 a)) % 5.74/5.91 (∀ (W3 : Iota), aUpperBoundOfIn0 W3 a_1 a → sdtlseqdt0 a_2 W3))) % 5.74/5.91 True)) % 5.74/5.91 Clause #173 (by clausification #[171]): ∀ (a a_1 a_2 : Iota), % 5.74/5.91 Or (Eq (aSet0 a) False) % 5.74/5.91 (Or (Eq (aSubsetOf0 a_1 a) False) % 5.74/5.91 (Or (Eq (aSupremumOfIn0 a_2 a_1 a) False) % 5.74/5.91 (Eq % 5.74/5.91 (And (And (aElementOf0 a_2 a) (aUpperBoundOfIn0 a_2 a_1 a)) % 5.74/5.91 (∀ (W3 : Iota), aUpperBoundOfIn0 W3 a_1 a → sdtlseqdt0 a_2 W3)) % 5.74/5.91 True))) % 5.74/5.91 Clause #186 (by clausification #[122]): ∀ (a a_1 a_2 : Iota), % 5.74/5.91 Or (Eq (aSet0 a) False) % 5.74/5.91 (Or (Eq (aSubsetOf0 a_1 a) False) (Or (Eq (aUpperBoundOfIn0 a_2 a_1 a) False) (Eq (aElementOf0 a_2 a) True))) % 5.74/5.91 Clause #191 (by superposition #[186, 13]): ∀ (a a_1 : Iota), % 5.74/5.91 Or (Eq (aSubsetOf0 a xT) False) % 5.74/5.91 (Or (Eq (aUpperBoundOfIn0 a_1 a xT) False) (Or (Eq (aElementOf0 a_1 xT) True) (Eq False True))) % 5.74/5.91 Clause #196 (by clausification #[191]): ∀ (a a_1 : Iota), % 5.74/5.91 Or (Eq (aSubsetOf0 a xT) False) (Or (Eq (aUpperBoundOfIn0 a_1 a xT) False) (Eq (aElementOf0 a_1 xT) True)) % 5.74/5.91 Clause #197 (by superposition #[196, 14]): ∀ (a : Iota), Or (Eq (aUpperBoundOfIn0 a xS xT) False) (Or (Eq (aElementOf0 a xT) True) (Eq False True)) % 5.74/5.93 Clause #198 (by clausification #[197]): ∀ (a : Iota), Or (Eq (aUpperBoundOfIn0 a xS xT) False) (Eq (aElementOf0 a xT) True) % 5.74/5.93 Clause #319 (by clausification #[173]): ∀ (a a_1 a_2 : Iota), % 5.74/5.93 Or (Eq (aSet0 a) False) % 5.74/5.93 (Or (Eq (aSubsetOf0 a_1 a) False) % 5.74/5.93 (Or (Eq (aSupremumOfIn0 a_2 a_1 a) False) % 5.74/5.93 (Eq (∀ (W3 : Iota), aUpperBoundOfIn0 W3 a_1 a → sdtlseqdt0 a_2 W3) True))) % 5.74/5.93 Clause #320 (by clausification #[173]): ∀ (a a_1 a_2 : Iota), % 5.74/5.93 Or (Eq (aSet0 a) False) % 5.74/5.93 (Or (Eq (aSubsetOf0 a_1 a) False) % 5.74/5.93 (Or (Eq (aSupremumOfIn0 a_2 a_1 a) False) (Eq (And (aElementOf0 a_2 a) (aUpperBoundOfIn0 a_2 a_1 a)) True))) % 5.74/5.93 Clause #321 (by clausification #[319]): ∀ (a a_1 a_2 a_3 : Iota), % 5.74/5.93 Or (Eq (aSet0 a) False) % 5.74/5.93 (Or (Eq (aSubsetOf0 a_1 a) False) % 5.74/5.93 (Or (Eq (aSupremumOfIn0 a_2 a_1 a) False) (Eq (aUpperBoundOfIn0 a_3 a_1 a → sdtlseqdt0 a_2 a_3) True))) % 5.74/5.93 Clause #322 (by clausification #[321]): ∀ (a a_1 a_2 a_3 : Iota), % 5.74/5.93 Or (Eq (aSet0 a) False) % 5.74/5.93 (Or (Eq (aSubsetOf0 a_1 a) False) % 5.74/5.93 (Or (Eq (aSupremumOfIn0 a_2 a_1 a) False) % 5.74/5.93 (Or (Eq (aUpperBoundOfIn0 a_3 a_1 a) False) (Eq (sdtlseqdt0 a_2 a_3) True)))) % 5.74/5.93 Clause #323 (by superposition #[322, 13]): ∀ (a a_1 a_2 : Iota), % 5.74/5.93 Or (Eq (aSubsetOf0 a xT) False) % 5.74/5.93 (Or (Eq (aSupremumOfIn0 a_1 a xT) False) % 5.74/5.93 (Or (Eq (aUpperBoundOfIn0 a_2 a xT) False) (Or (Eq (sdtlseqdt0 a_1 a_2) True) (Eq False True)))) % 5.74/5.93 Clause #330 (by clausification #[323]): ∀ (a a_1 a_2 : Iota), % 5.74/5.93 Or (Eq (aSubsetOf0 a xT) False) % 5.74/5.93 (Or (Eq (aSupremumOfIn0 a_1 a xT) False) (Or (Eq (aUpperBoundOfIn0 a_2 a xT) False) (Eq (sdtlseqdt0 a_1 a_2) True))) % 5.74/5.93 Clause #331 (by superposition #[330, 14]): ∀ (a a_1 : Iota), % 5.74/5.93 Or (Eq (aSupremumOfIn0 a xS xT) False) % 5.74/5.93 (Or (Eq (aUpperBoundOfIn0 a_1 xS xT) False) (Or (Eq (sdtlseqdt0 a a_1) True) (Eq False True))) % 5.74/5.93 Clause #334 (by clausification #[331]): ∀ (a a_1 : Iota), % 5.74/5.93 Or (Eq (aSupremumOfIn0 a xS xT) False) (Or (Eq (aUpperBoundOfIn0 a_1 xS xT) False) (Eq (sdtlseqdt0 a a_1) True)) % 5.74/5.93 Clause #335 (by superposition #[334, 58]): ∀ (a : Iota), Or (Eq (aUpperBoundOfIn0 a xS xT) False) (Or (Eq (sdtlseqdt0 xv a) True) (Eq False True)) % 5.74/5.93 Clause #336 (by superposition #[334, 59]): ∀ (a : Iota), Or (Eq (aUpperBoundOfIn0 a xS xT) False) (Or (Eq (sdtlseqdt0 xu a) True) (Eq False True)) % 5.74/5.93 Clause #337 (by clausification #[336]): ∀ (a : Iota), Or (Eq (aUpperBoundOfIn0 a xS xT) False) (Eq (sdtlseqdt0 xu a) True) % 5.74/5.93 Clause #338 (by clausification #[335]): ∀ (a : Iota), Or (Eq (aUpperBoundOfIn0 a xS xT) False) (Eq (sdtlseqdt0 xv a) True) % 5.74/5.93 Clause #343 (by clausification #[320]): ∀ (a a_1 a_2 : Iota), % 5.74/5.93 Or (Eq (aSet0 a) False) % 5.74/5.93 (Or (Eq (aSubsetOf0 a_1 a) False) (Or (Eq (aSupremumOfIn0 a_2 a_1 a) False) (Eq (aUpperBoundOfIn0 a_2 a_1 a) True))) % 5.74/5.93 Clause #345 (by superposition #[343, 13]): ∀ (a a_1 : Iota), % 5.74/5.93 Or (Eq (aSubsetOf0 a xT) False) % 5.74/5.93 (Or (Eq (aSupremumOfIn0 a_1 a xT) False) (Or (Eq (aUpperBoundOfIn0 a_1 a xT) True) (Eq False True))) % 5.74/5.93 Clause #350 (by clausification #[345]): ∀ (a a_1 : Iota), % 5.74/5.93 Or (Eq (aSubsetOf0 a xT) False) (Or (Eq (aSupremumOfIn0 a_1 a xT) False) (Eq (aUpperBoundOfIn0 a_1 a xT) True)) % 5.74/5.93 Clause #351 (by superposition #[350, 14]): ∀ (a : Iota), Or (Eq (aSupremumOfIn0 a xS xT) False) (Or (Eq (aUpperBoundOfIn0 a xS xT) True) (Eq False True)) % 5.74/5.93 Clause #358 (by clausification #[351]): ∀ (a : Iota), Or (Eq (aSupremumOfIn0 a xS xT) False) (Eq (aUpperBoundOfIn0 a xS xT) True) % 5.74/5.93 Clause #359 (by superposition #[358, 58]): Or (Eq (aUpperBoundOfIn0 xv xS xT) True) (Eq False True) % 5.74/5.93 Clause #360 (by superposition #[358, 59]): Or (Eq (aUpperBoundOfIn0 xu xS xT) True) (Eq False True) % 5.74/5.93 Clause #361 (by clausification #[360]): Eq (aUpperBoundOfIn0 xu xS xT) True % 5.74/5.93 Clause #362 (by superposition #[361, 198]): Or (Eq True False) (Eq (aElementOf0 xu xT) True) % 5.74/5.93 Clause #365 (by superposition #[361, 338]): Or (Eq True False) (Eq (sdtlseqdt0 xv xu) True) % 5.74/5.93 Clause #366 (by clausification #[365]): Eq (sdtlseqdt0 xv xu) True % 5.74/5.93 Clause #368 (by clausification #[362]): Eq (aElementOf0 xu xT) True % 5.79/5.94 Clause #369 (by superposition #[368, 43]): Or (Eq True False) (Eq (aElement0 xu) True) % 5.79/5.94 Clause #380 (by clausification #[369]): Eq (aElement0 xu) True % 5.79/5.94 Clause #382 (by superposition #[380, 50]): ∀ (a : Iota), % 5.79/5.94 Or (Eq True False) % 5.79/5.94 (Or (Eq (aElement0 a) False) (Or (Eq (sdtlseqdt0 xu a) False) (Or (Eq (sdtlseqdt0 a xu) False) (Eq xu a)))) % 5.79/5.94 Clause #387 (by clausification #[359]): Eq (aUpperBoundOfIn0 xv xS xT) True % 5.79/5.94 Clause #388 (by superposition #[387, 198]): Or (Eq True False) (Eq (aElementOf0 xv xT) True) % 5.79/5.94 Clause #390 (by superposition #[387, 337]): Or (Eq True False) (Eq (sdtlseqdt0 xu xv) True) % 5.79/5.94 Clause #393 (by clausification #[390]): Eq (sdtlseqdt0 xu xv) True % 5.79/5.94 Clause #394 (by clausification #[388]): Eq (aElementOf0 xv xT) True % 5.79/5.94 Clause #395 (by superposition #[394, 43]): Or (Eq True False) (Eq (aElement0 xv) True) % 5.79/5.94 Clause #402 (by clausification #[395]): Eq (aElement0 xv) True % 5.79/5.94 Clause #413 (by clausification #[382]): ∀ (a : Iota), Or (Eq (aElement0 a) False) (Or (Eq (sdtlseqdt0 xu a) False) (Or (Eq (sdtlseqdt0 a xu) False) (Eq xu a))) % 5.79/5.94 Clause #418 (by superposition #[413, 402]): Or (Eq (sdtlseqdt0 xu xv) False) (Or (Eq (sdtlseqdt0 xv xu) False) (Or (Eq xu xv) (Eq False True))) % 5.79/5.94 Clause #419 (by clausification #[418]): Or (Eq (sdtlseqdt0 xu xv) False) (Or (Eq (sdtlseqdt0 xv xu) False) (Eq xu xv)) % 5.79/5.94 Clause #420 (by forward demodulation #[419, 393]): Or (Eq True False) (Or (Eq (sdtlseqdt0 xv xu) False) (Eq xu xv)) % 5.79/5.94 Clause #421 (by clausification #[420]): Or (Eq (sdtlseqdt0 xv xu) False) (Eq xu xv) % 5.79/5.94 Clause #422 (by forward contextual literal cutting #[421, 22]): Eq (sdtlseqdt0 xv xu) False % 5.79/5.94 Clause #423 (by superposition #[422, 366]): Eq False True % 5.79/5.94 Clause #427 (by clausification #[423]): False % 5.79/5.94 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------