TSTP Solution File: LAT381+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : LAT381+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n020.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 : Thu Aug 31 06:08:18 EDT 2023
% Result : Theorem 4.56s 4.76s
% Output : Proof 4.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT381+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 07:38:15 EDT 2023
% 0.13/0.34 % CPUTime :
% 4.56/4.76 SZS status Theorem for theBenchmark.p
% 4.56/4.76 SZS output start Proof for theBenchmark.p
% 4.56/4.76 Clause #2 (by assumption #[]): Eq (∀ (W0 : Iota), aSet0 W0 → ∀ (W1 : Iota), aElementOf0 W1 W0 → aElement0 W1) True
% 4.56/4.76 Clause #7 (by assumption #[]): Eq (∀ (W0 W1 : Iota), And (aElement0 W0) (aElement0 W1) → And (sdtlseqdt0 W0 W1) (sdtlseqdt0 W1 W0) → Eq W0 W1) True
% 4.56/4.76 Clause #10 (by assumption #[]): Eq
% 4.56/4.76 (∀ (W0 : Iota),
% 4.56/4.76 aSet0 W0 →
% 4.56/4.76 ∀ (W1 : Iota),
% 4.56/4.76 aSubsetOf0 W1 W0 →
% 4.56/4.76 ∀ (W2 : Iota),
% 4.56/4.76 Iff (aUpperBoundOfIn0 W2 W1 W0)
% 4.56/4.76 (And (aElementOf0 W2 W0) (∀ (W3 : Iota), aElementOf0 W3 W1 → sdtlseqdt0 W3 W2)))
% 4.56/4.76 True
% 4.56/4.76 Clause #12 (by assumption #[]): Eq
% 4.56/4.76 (∀ (W0 : Iota),
% 4.56/4.76 aSet0 W0 →
% 4.56/4.76 ∀ (W1 : Iota),
% 4.56/4.76 aSubsetOf0 W1 W0 →
% 4.56/4.76 ∀ (W2 : Iota),
% 4.56/4.76 Iff (aSupremumOfIn0 W2 W1 W0)
% 4.56/4.76 (And (And (aElementOf0 W2 W0) (aUpperBoundOfIn0 W2 W1 W0))
% 4.56/4.76 (∀ (W3 : Iota), aUpperBoundOfIn0 W3 W1 W0 → sdtlseqdt0 W2 W3)))
% 4.56/4.76 True
% 4.56/4.76 Clause #13 (by assumption #[]): Eq (aSet0 xT) True
% 4.56/4.76 Clause #14 (by assumption #[]): Eq (aSubsetOf0 xS xT) True
% 4.56/4.76 Clause #15 (by assumption #[]): Eq (And (aSupremumOfIn0 xu xS xT) (aSupremumOfIn0 xv xS xT)) True
% 4.56/4.76 Clause #16 (by assumption #[]): Eq (Not (Eq xu xv)) True
% 4.56/4.76 Clause #21 (by clausification #[16]): Eq (Eq xu xv) False
% 4.56/4.76 Clause #22 (by clausification #[21]): Ne xu xv
% 4.56/4.76 Clause #23 (by clausification #[2]): ∀ (a : Iota), Eq (aSet0 a → ∀ (W1 : Iota), aElementOf0 W1 a → aElement0 W1) True
% 4.56/4.76 Clause #24 (by clausification #[23]): ∀ (a : Iota), Or (Eq (aSet0 a) False) (Eq (∀ (W1 : Iota), aElementOf0 W1 a → aElement0 W1) True)
% 4.56/4.76 Clause #25 (by clausification #[24]): ∀ (a a_1 : Iota), Or (Eq (aSet0 a) False) (Eq (aElementOf0 a_1 a → aElement0 a_1) True)
% 4.56/4.76 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))
% 4.56/4.76 Clause #27 (by superposition #[26, 13]): ∀ (a : Iota), Or (Eq (aElementOf0 a xT) False) (Or (Eq (aElement0 a) True) (Eq False True))
% 4.56/4.76 Clause #43 (by clausification #[27]): ∀ (a : Iota), Or (Eq (aElementOf0 a xT) False) (Eq (aElement0 a) True)
% 4.56/4.76 Clause #44 (by clausification #[7]): ∀ (a : Iota),
% 4.56/4.76 Eq (∀ (W1 : Iota), And (aElement0 a) (aElement0 W1) → And (sdtlseqdt0 a W1) (sdtlseqdt0 W1 a) → Eq a W1) True
% 4.56/4.76 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
% 4.56/4.76 Clause #46 (by clausification #[45]): ∀ (a a_1 : Iota),
% 4.56/4.76 Or (Eq (And (aElement0 a) (aElement0 a_1)) False) (Eq (And (sdtlseqdt0 a a_1) (sdtlseqdt0 a_1 a) → Eq a a_1) True)
% 4.56/4.76 Clause #47 (by clausification #[46]): ∀ (a a_1 : Iota),
% 4.56/4.76 Or (Eq (And (sdtlseqdt0 a a_1) (sdtlseqdt0 a_1 a) → Eq a a_1) True)
% 4.56/4.76 (Or (Eq (aElement0 a) False) (Eq (aElement0 a_1) False))
% 4.56/4.76 Clause #48 (by clausification #[47]): ∀ (a a_1 : Iota),
% 4.56/4.76 Or (Eq (aElement0 a) False)
% 4.56/4.76 (Or (Eq (aElement0 a_1) False) (Or (Eq (And (sdtlseqdt0 a a_1) (sdtlseqdt0 a_1 a)) False) (Eq (Eq a a_1) True)))
% 4.56/4.76 Clause #49 (by clausification #[48]): ∀ (a a_1 : Iota),
% 4.56/4.76 Or (Eq (aElement0 a) False)
% 4.56/4.76 (Or (Eq (aElement0 a_1) False)
% 4.56/4.76 (Or (Eq (Eq a a_1) True) (Or (Eq (sdtlseqdt0 a a_1) False) (Eq (sdtlseqdt0 a_1 a) False))))
% 4.56/4.76 Clause #50 (by clausification #[49]): ∀ (a a_1 : Iota),
% 4.56/4.76 Or (Eq (aElement0 a) False)
% 4.56/4.76 (Or (Eq (aElement0 a_1) False) (Or (Eq (sdtlseqdt0 a a_1) False) (Or (Eq (sdtlseqdt0 a_1 a) False) (Eq a a_1))))
% 4.56/4.76 Clause #58 (by clausification #[15]): Eq (aSupremumOfIn0 xv xS xT) True
% 4.56/4.76 Clause #59 (by clausification #[15]): Eq (aSupremumOfIn0 xu xS xT) True
% 4.56/4.76 Clause #116 (by clausification #[10]): ∀ (a : Iota),
% 4.56/4.76 Eq
% 4.56/4.76 (aSet0 a →
% 4.56/4.76 ∀ (W1 : Iota),
% 4.56/4.76 aSubsetOf0 W1 a →
% 4.56/4.76 ∀ (W2 : Iota),
% 4.56/4.76 Iff (aUpperBoundOfIn0 W2 W1 a)
% 4.56/4.76 (And (aElementOf0 W2 a) (∀ (W3 : Iota), aElementOf0 W3 W1 → sdtlseqdt0 W3 W2)))
% 4.56/4.76 True
% 4.56/4.76 Clause #117 (by clausification #[116]): ∀ (a : Iota),
% 4.56/4.76 Or (Eq (aSet0 a) False)
% 4.56/4.76 (Eq
% 4.56/4.76 (∀ (W1 : Iota),
% 4.56/4.76 aSubsetOf0 W1 a →
% 4.56/4.76 ∀ (W2 : Iota),
% 4.61/4.78 Iff (aUpperBoundOfIn0 W2 W1 a)
% 4.61/4.78 (And (aElementOf0 W2 a) (∀ (W3 : Iota), aElementOf0 W3 W1 → sdtlseqdt0 W3 W2)))
% 4.61/4.78 True)
% 4.61/4.78 Clause #118 (by clausification #[117]): ∀ (a a_1 : Iota),
% 4.61/4.78 Or (Eq (aSet0 a) False)
% 4.61/4.78 (Eq
% 4.61/4.78 (aSubsetOf0 a_1 a →
% 4.61/4.78 ∀ (W2 : Iota),
% 4.61/4.78 Iff (aUpperBoundOfIn0 W2 a_1 a)
% 4.61/4.78 (And (aElementOf0 W2 a) (∀ (W3 : Iota), aElementOf0 W3 a_1 → sdtlseqdt0 W3 W2)))
% 4.61/4.78 True)
% 4.61/4.78 Clause #119 (by clausification #[118]): ∀ (a a_1 : Iota),
% 4.61/4.78 Or (Eq (aSet0 a) False)
% 4.61/4.78 (Or (Eq (aSubsetOf0 a_1 a) False)
% 4.61/4.78 (Eq
% 4.61/4.78 (∀ (W2 : Iota),
% 4.61/4.78 Iff (aUpperBoundOfIn0 W2 a_1 a)
% 4.61/4.78 (And (aElementOf0 W2 a) (∀ (W3 : Iota), aElementOf0 W3 a_1 → sdtlseqdt0 W3 W2)))
% 4.61/4.78 True))
% 4.61/4.78 Clause #120 (by clausification #[119]): ∀ (a a_1 a_2 : Iota),
% 4.61/4.78 Or (Eq (aSet0 a) False)
% 4.61/4.78 (Or (Eq (aSubsetOf0 a_1 a) False)
% 4.61/4.78 (Eq
% 4.61/4.78 (Iff (aUpperBoundOfIn0 a_2 a_1 a)
% 4.61/4.78 (And (aElementOf0 a_2 a) (∀ (W3 : Iota), aElementOf0 W3 a_1 → sdtlseqdt0 W3 a_2)))
% 4.61/4.78 True))
% 4.61/4.78 Clause #122 (by clausification #[120]): ∀ (a a_1 a_2 : Iota),
% 4.61/4.78 Or (Eq (aSet0 a) False)
% 4.61/4.78 (Or (Eq (aSubsetOf0 a_1 a) False)
% 4.61/4.78 (Or (Eq (aUpperBoundOfIn0 a_2 a_1 a) False)
% 4.61/4.78 (Eq (And (aElementOf0 a_2 a) (∀ (W3 : Iota), aElementOf0 W3 a_1 → sdtlseqdt0 W3 a_2)) True)))
% 4.61/4.78 Clause #167 (by clausification #[12]): ∀ (a : Iota),
% 4.61/4.78 Eq
% 4.61/4.78 (aSet0 a →
% 4.61/4.78 ∀ (W1 : Iota),
% 4.61/4.78 aSubsetOf0 W1 a →
% 4.61/4.78 ∀ (W2 : Iota),
% 4.61/4.78 Iff (aSupremumOfIn0 W2 W1 a)
% 4.61/4.78 (And (And (aElementOf0 W2 a) (aUpperBoundOfIn0 W2 W1 a))
% 4.61/4.78 (∀ (W3 : Iota), aUpperBoundOfIn0 W3 W1 a → sdtlseqdt0 W2 W3)))
% 4.61/4.78 True
% 4.61/4.78 Clause #168 (by clausification #[167]): ∀ (a : Iota),
% 4.61/4.78 Or (Eq (aSet0 a) False)
% 4.61/4.78 (Eq
% 4.61/4.78 (∀ (W1 : Iota),
% 4.61/4.78 aSubsetOf0 W1 a →
% 4.61/4.78 ∀ (W2 : Iota),
% 4.61/4.78 Iff (aSupremumOfIn0 W2 W1 a)
% 4.61/4.78 (And (And (aElementOf0 W2 a) (aUpperBoundOfIn0 W2 W1 a))
% 4.61/4.78 (∀ (W3 : Iota), aUpperBoundOfIn0 W3 W1 a → sdtlseqdt0 W2 W3)))
% 4.61/4.78 True)
% 4.61/4.78 Clause #169 (by clausification #[168]): ∀ (a a_1 : Iota),
% 4.61/4.78 Or (Eq (aSet0 a) False)
% 4.61/4.78 (Eq
% 4.61/4.78 (aSubsetOf0 a_1 a →
% 4.61/4.78 ∀ (W2 : Iota),
% 4.61/4.78 Iff (aSupremumOfIn0 W2 a_1 a)
% 4.61/4.78 (And (And (aElementOf0 W2 a) (aUpperBoundOfIn0 W2 a_1 a))
% 4.61/4.78 (∀ (W3 : Iota), aUpperBoundOfIn0 W3 a_1 a → sdtlseqdt0 W2 W3)))
% 4.61/4.78 True)
% 4.61/4.78 Clause #170 (by clausification #[169]): ∀ (a a_1 : Iota),
% 4.61/4.78 Or (Eq (aSet0 a) False)
% 4.61/4.78 (Or (Eq (aSubsetOf0 a_1 a) False)
% 4.61/4.78 (Eq
% 4.61/4.78 (∀ (W2 : Iota),
% 4.61/4.78 Iff (aSupremumOfIn0 W2 a_1 a)
% 4.61/4.78 (And (And (aElementOf0 W2 a) (aUpperBoundOfIn0 W2 a_1 a))
% 4.61/4.78 (∀ (W3 : Iota), aUpperBoundOfIn0 W3 a_1 a → sdtlseqdt0 W2 W3)))
% 4.61/4.78 True))
% 4.61/4.78 Clause #171 (by clausification #[170]): ∀ (a a_1 a_2 : Iota),
% 4.61/4.78 Or (Eq (aSet0 a) False)
% 4.61/4.78 (Or (Eq (aSubsetOf0 a_1 a) False)
% 4.61/4.78 (Eq
% 4.61/4.78 (Iff (aSupremumOfIn0 a_2 a_1 a)
% 4.61/4.78 (And (And (aElementOf0 a_2 a) (aUpperBoundOfIn0 a_2 a_1 a))
% 4.61/4.78 (∀ (W3 : Iota), aUpperBoundOfIn0 W3 a_1 a → sdtlseqdt0 a_2 W3)))
% 4.61/4.78 True))
% 4.61/4.78 Clause #173 (by clausification #[171]): ∀ (a a_1 a_2 : Iota),
% 4.61/4.78 Or (Eq (aSet0 a) False)
% 4.61/4.78 (Or (Eq (aSubsetOf0 a_1 a) False)
% 4.61/4.78 (Or (Eq (aSupremumOfIn0 a_2 a_1 a) False)
% 4.61/4.78 (Eq
% 4.61/4.78 (And (And (aElementOf0 a_2 a) (aUpperBoundOfIn0 a_2 a_1 a))
% 4.61/4.78 (∀ (W3 : Iota), aUpperBoundOfIn0 W3 a_1 a → sdtlseqdt0 a_2 W3))
% 4.61/4.78 True)))
% 4.61/4.78 Clause #186 (by clausification #[122]): ∀ (a a_1 a_2 : Iota),
% 4.61/4.78 Or (Eq (aSet0 a) False)
% 4.61/4.78 (Or (Eq (aSubsetOf0 a_1 a) False) (Or (Eq (aUpperBoundOfIn0 a_2 a_1 a) False) (Eq (aElementOf0 a_2 a) True)))
% 4.61/4.78 Clause #191 (by superposition #[186, 13]): ∀ (a a_1 : Iota),
% 4.61/4.78 Or (Eq (aSubsetOf0 a xT) False)
% 4.61/4.78 (Or (Eq (aUpperBoundOfIn0 a_1 a xT) False) (Or (Eq (aElementOf0 a_1 xT) True) (Eq False True)))
% 4.61/4.78 Clause #196 (by clausification #[191]): ∀ (a a_1 : Iota),
% 4.61/4.78 Or (Eq (aSubsetOf0 a xT) False) (Or (Eq (aUpperBoundOfIn0 a_1 a xT) False) (Eq (aElementOf0 a_1 xT) True))
% 4.61/4.78 Clause #197 (by superposition #[196, 14]): ∀ (a : Iota), Or (Eq (aUpperBoundOfIn0 a xS xT) False) (Or (Eq (aElementOf0 a xT) True) (Eq False True))
% 4.61/4.80 Clause #198 (by clausification #[197]): ∀ (a : Iota), Or (Eq (aUpperBoundOfIn0 a xS xT) False) (Eq (aElementOf0 a xT) True)
% 4.61/4.80 Clause #319 (by clausification #[173]): ∀ (a a_1 a_2 : Iota),
% 4.61/4.80 Or (Eq (aSet0 a) False)
% 4.61/4.80 (Or (Eq (aSubsetOf0 a_1 a) False)
% 4.61/4.80 (Or (Eq (aSupremumOfIn0 a_2 a_1 a) False)
% 4.61/4.80 (Eq (∀ (W3 : Iota), aUpperBoundOfIn0 W3 a_1 a → sdtlseqdt0 a_2 W3) True)))
% 4.61/4.80 Clause #320 (by clausification #[173]): ∀ (a a_1 a_2 : Iota),
% 4.61/4.80 Or (Eq (aSet0 a) False)
% 4.61/4.80 (Or (Eq (aSubsetOf0 a_1 a) False)
% 4.61/4.80 (Or (Eq (aSupremumOfIn0 a_2 a_1 a) False) (Eq (And (aElementOf0 a_2 a) (aUpperBoundOfIn0 a_2 a_1 a)) True)))
% 4.61/4.80 Clause #321 (by clausification #[319]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.61/4.80 Or (Eq (aSet0 a) False)
% 4.61/4.80 (Or (Eq (aSubsetOf0 a_1 a) False)
% 4.61/4.80 (Or (Eq (aSupremumOfIn0 a_2 a_1 a) False) (Eq (aUpperBoundOfIn0 a_3 a_1 a → sdtlseqdt0 a_2 a_3) True)))
% 4.61/4.80 Clause #322 (by clausification #[321]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.61/4.80 Or (Eq (aSet0 a) False)
% 4.61/4.80 (Or (Eq (aSubsetOf0 a_1 a) False)
% 4.61/4.80 (Or (Eq (aSupremumOfIn0 a_2 a_1 a) False)
% 4.61/4.80 (Or (Eq (aUpperBoundOfIn0 a_3 a_1 a) False) (Eq (sdtlseqdt0 a_2 a_3) True))))
% 4.61/4.80 Clause #323 (by superposition #[322, 13]): ∀ (a a_1 a_2 : Iota),
% 4.61/4.80 Or (Eq (aSubsetOf0 a xT) False)
% 4.61/4.80 (Or (Eq (aSupremumOfIn0 a_1 a xT) False)
% 4.61/4.80 (Or (Eq (aUpperBoundOfIn0 a_2 a xT) False) (Or (Eq (sdtlseqdt0 a_1 a_2) True) (Eq False True))))
% 4.61/4.80 Clause #330 (by clausification #[323]): ∀ (a a_1 a_2 : Iota),
% 4.61/4.80 Or (Eq (aSubsetOf0 a xT) False)
% 4.61/4.80 (Or (Eq (aSupremumOfIn0 a_1 a xT) False) (Or (Eq (aUpperBoundOfIn0 a_2 a xT) False) (Eq (sdtlseqdt0 a_1 a_2) True)))
% 4.61/4.80 Clause #331 (by superposition #[330, 14]): ∀ (a a_1 : Iota),
% 4.61/4.80 Or (Eq (aSupremumOfIn0 a xS xT) False)
% 4.61/4.80 (Or (Eq (aUpperBoundOfIn0 a_1 xS xT) False) (Or (Eq (sdtlseqdt0 a a_1) True) (Eq False True)))
% 4.61/4.80 Clause #334 (by clausification #[331]): ∀ (a a_1 : Iota),
% 4.61/4.80 Or (Eq (aSupremumOfIn0 a xS xT) False) (Or (Eq (aUpperBoundOfIn0 a_1 xS xT) False) (Eq (sdtlseqdt0 a a_1) True))
% 4.61/4.80 Clause #335 (by superposition #[334, 58]): ∀ (a : Iota), Or (Eq (aUpperBoundOfIn0 a xS xT) False) (Or (Eq (sdtlseqdt0 xv a) True) (Eq False True))
% 4.61/4.80 Clause #336 (by superposition #[334, 59]): ∀ (a : Iota), Or (Eq (aUpperBoundOfIn0 a xS xT) False) (Or (Eq (sdtlseqdt0 xu a) True) (Eq False True))
% 4.61/4.80 Clause #337 (by clausification #[336]): ∀ (a : Iota), Or (Eq (aUpperBoundOfIn0 a xS xT) False) (Eq (sdtlseqdt0 xu a) True)
% 4.61/4.80 Clause #338 (by clausification #[335]): ∀ (a : Iota), Or (Eq (aUpperBoundOfIn0 a xS xT) False) (Eq (sdtlseqdt0 xv a) True)
% 4.61/4.80 Clause #343 (by clausification #[320]): ∀ (a a_1 a_2 : Iota),
% 4.61/4.80 Or (Eq (aSet0 a) False)
% 4.61/4.80 (Or (Eq (aSubsetOf0 a_1 a) False) (Or (Eq (aSupremumOfIn0 a_2 a_1 a) False) (Eq (aUpperBoundOfIn0 a_2 a_1 a) True)))
% 4.61/4.80 Clause #345 (by superposition #[343, 13]): ∀ (a a_1 : Iota),
% 4.61/4.80 Or (Eq (aSubsetOf0 a xT) False)
% 4.61/4.80 (Or (Eq (aSupremumOfIn0 a_1 a xT) False) (Or (Eq (aUpperBoundOfIn0 a_1 a xT) True) (Eq False True)))
% 4.61/4.80 Clause #350 (by clausification #[345]): ∀ (a a_1 : Iota),
% 4.61/4.80 Or (Eq (aSubsetOf0 a xT) False) (Or (Eq (aSupremumOfIn0 a_1 a xT) False) (Eq (aUpperBoundOfIn0 a_1 a xT) True))
% 4.61/4.80 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))
% 4.61/4.80 Clause #358 (by clausification #[351]): ∀ (a : Iota), Or (Eq (aSupremumOfIn0 a xS xT) False) (Eq (aUpperBoundOfIn0 a xS xT) True)
% 4.61/4.80 Clause #359 (by superposition #[358, 58]): Or (Eq (aUpperBoundOfIn0 xv xS xT) True) (Eq False True)
% 4.61/4.80 Clause #360 (by superposition #[358, 59]): Or (Eq (aUpperBoundOfIn0 xu xS xT) True) (Eq False True)
% 4.61/4.80 Clause #361 (by clausification #[360]): Eq (aUpperBoundOfIn0 xu xS xT) True
% 4.61/4.80 Clause #362 (by superposition #[361, 198]): Or (Eq True False) (Eq (aElementOf0 xu xT) True)
% 4.61/4.80 Clause #365 (by superposition #[361, 338]): Or (Eq True False) (Eq (sdtlseqdt0 xv xu) True)
% 4.61/4.80 Clause #366 (by clausification #[365]): Eq (sdtlseqdt0 xv xu) True
% 4.61/4.80 Clause #368 (by clausification #[362]): Eq (aElementOf0 xu xT) True
% 4.61/4.81 Clause #369 (by superposition #[368, 43]): Or (Eq True False) (Eq (aElement0 xu) True)
% 4.61/4.81 Clause #380 (by clausification #[369]): Eq (aElement0 xu) True
% 4.61/4.81 Clause #382 (by superposition #[380, 50]): ∀ (a : Iota),
% 4.61/4.81 Or (Eq True False)
% 4.61/4.81 (Or (Eq (aElement0 a) False) (Or (Eq (sdtlseqdt0 xu a) False) (Or (Eq (sdtlseqdt0 a xu) False) (Eq xu a))))
% 4.61/4.81 Clause #387 (by clausification #[359]): Eq (aUpperBoundOfIn0 xv xS xT) True
% 4.61/4.81 Clause #388 (by superposition #[387, 198]): Or (Eq True False) (Eq (aElementOf0 xv xT) True)
% 4.61/4.81 Clause #390 (by superposition #[387, 337]): Or (Eq True False) (Eq (sdtlseqdt0 xu xv) True)
% 4.61/4.81 Clause #393 (by clausification #[390]): Eq (sdtlseqdt0 xu xv) True
% 4.61/4.81 Clause #394 (by clausification #[388]): Eq (aElementOf0 xv xT) True
% 4.61/4.81 Clause #395 (by superposition #[394, 43]): Or (Eq True False) (Eq (aElement0 xv) True)
% 4.61/4.81 Clause #402 (by clausification #[395]): Eq (aElement0 xv) True
% 4.61/4.81 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)))
% 4.61/4.81 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)))
% 4.61/4.81 Clause #419 (by clausification #[418]): Or (Eq (sdtlseqdt0 xu xv) False) (Or (Eq (sdtlseqdt0 xv xu) False) (Eq xu xv))
% 4.61/4.81 Clause #420 (by forward demodulation #[419, 393]): Or (Eq True False) (Or (Eq (sdtlseqdt0 xv xu) False) (Eq xu xv))
% 4.61/4.81 Clause #421 (by clausification #[420]): Or (Eq (sdtlseqdt0 xv xu) False) (Eq xu xv)
% 4.61/4.81 Clause #422 (by forward contextual literal cutting #[421, 22]): Eq (sdtlseqdt0 xv xu) False
% 4.61/4.81 Clause #423 (by superposition #[422, 366]): Eq False True
% 4.61/4.81 Clause #427 (by clausification #[423]): False
% 4.61/4.81 SZS output end Proof for theBenchmark.p
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