%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : LAT388+4 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n010.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 07:53:33 PM UTC 2025 % Result : Theorem 4.56s 4.73s % Output : Proof 4.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.13 % Problem : LAT388+4 : TPTP v9.2.0. Released v4.0.0. % 0.03/0.14 % Command : duper %s % 0.15/0.36 % Computer : n010.cluster.edu % 0.15/0.36 % Model : x86_64 x86_64 % 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.36 % Memory : 8042.1875MB % 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.36 % CPULimit : 300 % 0.15/0.36 % WCLimit : 300 % 0.15/0.36 % DateTime : Thu Oct 2 18:38:23 EDT 2025 % 0.15/0.36 % CPUTime : % 4.56/4.73 SZS status Theorem for theBenchmark.p % 4.56/4.73 SZS output start Proof for theBenchmark.p % 4.56/4.73 Clause #29 (by assumption #[]): Eq % 4.56/4.73 (And % 4.56/4.73 (And % 4.56/4.73 (And % 4.56/4.73 (And (And (And (aElementOf0 xp (szDzozmdt0 xf)) (Eq (sdtlpdtrp0 xf xp) xp)) (aFixedPointOf0 xp xf)) % 4.56/4.73 (∀ (W0 : Iota), aElementOf0 W0 xT → sdtlseqdt0 W0 xp)) % 4.56/4.73 (aUpperBoundOfIn0 xp xT xS)) % 4.56/4.73 (∀ (W0 : Iota), % 4.56/4.73 Or (And (aElementOf0 W0 xS) (∀ (W1 : Iota), aElementOf0 W1 xT → sdtlseqdt0 W1 W0)) (aUpperBoundOfIn0 W0 xT xS) → % 4.56/4.73 sdtlseqdt0 xp W0)) % 4.56/4.73 (aSupremumOfIn0 xp xT xS)) % 4.56/4.73 True % 4.56/4.73 Clause #30 (by assumption #[]): Eq % 4.56/4.73 (Not % 4.56/4.73 (Exists fun W0 => % 4.56/4.73 Or % 4.56/4.73 (And % 4.56/4.73 (And (aElementOf0 W0 xS) % 4.56/4.73 (Or (And (aElementOf0 W0 xS) (∀ (W1 : Iota), aElementOf0 W1 xT → sdtlseqdt0 W1 W0)) % 4.56/4.73 (aUpperBoundOfIn0 W0 xT xS))) % 4.56/4.73 (∀ (W1 : Iota), % 4.56/4.73 And (And (aElementOf0 W1 xS) (∀ (W2 : Iota), aElementOf0 W2 xT → sdtlseqdt0 W2 W1)) % 4.56/4.73 (aUpperBoundOfIn0 W1 xT xS) → % 4.56/4.73 sdtlseqdt0 W0 W1)) % 4.56/4.73 (aSupremumOfIn0 W0 xT xS))) % 4.56/4.73 True % 4.56/4.73 Clause #343 (by clausification #[29]): Eq (aSupremumOfIn0 xp xT xS) True % 4.56/4.73 Clause #354 (by clausification #[30]): Eq % 4.56/4.73 (Exists fun W0 => % 4.56/4.73 Or % 4.56/4.73 (And % 4.56/4.73 (And (aElementOf0 W0 xS) % 4.56/4.73 (Or (And (aElementOf0 W0 xS) (∀ (W1 : Iota), aElementOf0 W1 xT → sdtlseqdt0 W1 W0)) % 4.56/4.73 (aUpperBoundOfIn0 W0 xT xS))) % 4.56/4.73 (∀ (W1 : Iota), % 4.56/4.73 And (And (aElementOf0 W1 xS) (∀ (W2 : Iota), aElementOf0 W2 xT → sdtlseqdt0 W2 W1)) % 4.56/4.73 (aUpperBoundOfIn0 W1 xT xS) → % 4.56/4.73 sdtlseqdt0 W0 W1)) % 4.56/4.73 (aSupremumOfIn0 W0 xT xS)) % 4.56/4.73 False % 4.56/4.73 Clause #355 (by clausification #[354]): ∀ (a : Iota), % 4.56/4.73 Eq % 4.56/4.73 (Or % 4.56/4.73 (And % 4.56/4.73 (And (aElementOf0 a xS) % 4.56/4.73 (Or (And (aElementOf0 a xS) (∀ (W1 : Iota), aElementOf0 W1 xT → sdtlseqdt0 W1 a)) (aUpperBoundOfIn0 a xT xS))) % 4.56/4.73 (∀ (W1 : Iota), % 4.56/4.73 And (And (aElementOf0 W1 xS) (∀ (W2 : Iota), aElementOf0 W2 xT → sdtlseqdt0 W2 W1)) % 4.56/4.73 (aUpperBoundOfIn0 W1 xT xS) → % 4.56/4.73 sdtlseqdt0 a W1)) % 4.56/4.73 (aSupremumOfIn0 a xT xS)) % 4.56/4.73 False % 4.56/4.73 Clause #356 (by clausification #[355]): ∀ (a : Iota), Eq (aSupremumOfIn0 a xT xS) False % 4.56/4.73 Clause #358 (by superposition #[356, 343]): Eq False True % 4.56/4.73 Clause #359 (by clausification #[358]): False % 4.56/4.73 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------