TSTP Solution File: NUM547+3 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : NUM547+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n009.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 10:56:12 EDT 2023
% Result : Theorem 257.51s 257.76s
% Output : Proof 257.95s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM547+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n009.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 Aug 25 15:00:51 EDT 2023
% 0.14/0.35 % CPUTime :
% 257.51/257.76 SZS status Theorem for theBenchmark.p
% 257.51/257.76 SZS output start Proof for theBenchmark.p
% 257.51/257.76 Clause #62 (by assumption #[]): Eq
% 257.51/257.76 (And
% 257.51/257.76 (And
% 257.51/257.76 (And
% 257.51/257.76 (And
% 257.51/257.76 (And
% 257.51/257.76 (And (aSet0 (slbdtsldtrb0 xS xk))
% 257.51/257.76 (∀ (W0 : Iota),
% 257.51/257.76 And
% 257.51/257.76 (aElementOf0 W0 (slbdtsldtrb0 xS xk) →
% 257.51/257.76 And (And (And (aSet0 W0) (∀ (W1 : Iota), aElementOf0 W1 W0 → aElementOf0 W1 xS)) (aSubsetOf0 W0 xS))
% 257.51/257.76 (Eq (sbrdtbr0 W0) xk))
% 257.51/257.76 (And (Or (And (aSet0 W0) (∀ (W1 : Iota), aElementOf0 W1 W0 → aElementOf0 W1 xS)) (aSubsetOf0 W0 xS))
% 257.51/257.76 (Eq (sbrdtbr0 W0) xk) →
% 257.51/257.76 aElementOf0 W0 (slbdtsldtrb0 xS xk))))
% 257.51/257.76 (aSet0 (slbdtsldtrb0 xT xk)))
% 257.51/257.76 (∀ (W0 : Iota),
% 257.51/257.76 And
% 257.51/257.76 (aElementOf0 W0 (slbdtsldtrb0 xT xk) →
% 257.51/257.76 And (And (And (aSet0 W0) (∀ (W1 : Iota), aElementOf0 W1 W0 → aElementOf0 W1 xT)) (aSubsetOf0 W0 xT))
% 257.51/257.76 (Eq (sbrdtbr0 W0) xk))
% 257.51/257.76 (And (Or (And (aSet0 W0) (∀ (W1 : Iota), aElementOf0 W1 W0 → aElementOf0 W1 xT)) (aSubsetOf0 W0 xT))
% 257.51/257.76 (Eq (sbrdtbr0 W0) xk) →
% 257.51/257.76 aElementOf0 W0 (slbdtsldtrb0 xT xk))))
% 257.51/257.76 (∀ (W0 : Iota), aElementOf0 W0 (slbdtsldtrb0 xS xk) → aElementOf0 W0 (slbdtsldtrb0 xT xk)))
% 257.51/257.76 (aSubsetOf0 (slbdtsldtrb0 xS xk) (slbdtsldtrb0 xT xk)))
% 257.51/257.76 (Not
% 257.51/257.76 ((∀ (W0 : Iota),
% 257.51/257.76 And
% 257.51/257.76 (aElementOf0 W0 (slbdtsldtrb0 xS xk) →
% 257.51/257.76 And (And (And (aSet0 W0) (∀ (W1 : Iota), aElementOf0 W1 W0 → aElementOf0 W1 xS)) (aSubsetOf0 W0 xS))
% 257.51/257.76 (Eq (sbrdtbr0 W0) xk))
% 257.51/257.76 (And (Or (And (aSet0 W0) (∀ (W1 : Iota), aElementOf0 W1 W0 → aElementOf0 W1 xS)) (aSubsetOf0 W0 xS))
% 257.51/257.76 (Eq (sbrdtbr0 W0) xk) →
% 257.51/257.76 aElementOf0 W0 (slbdtsldtrb0 xS xk))) →
% 257.51/257.76 Or (Not (Exists fun W0 => aElementOf0 W0 (slbdtsldtrb0 xS xk))) (Eq (slbdtsldtrb0 xS xk) slcrc0))))
% 257.51/257.76 True
% 257.51/257.76 Clause #64 (by assumption #[]): Eq
% 257.51/257.76 (Not
% 257.51/257.76 (Exists fun W0 =>
% 257.51/257.76 Or
% 257.51/257.76 (And (Or (And (aSet0 W0) (∀ (W1 : Iota), aElementOf0 W1 W0 → aElementOf0 W1 xS)) (aSubsetOf0 W0 xS))
% 257.51/257.76 (Eq (sbrdtbr0 W0) xk))
% 257.51/257.76 (aElementOf0 W0 (slbdtsldtrb0 xS xk))))
% 257.51/257.76 True
% 257.51/257.76 Clause #862 (by clausification #[62]): Eq
% 257.51/257.76 (Not
% 257.51/257.76 ((∀ (W0 : Iota),
% 257.51/257.76 And
% 257.51/257.76 (aElementOf0 W0 (slbdtsldtrb0 xS xk) →
% 257.51/257.76 And (And (And (aSet0 W0) (∀ (W1 : Iota), aElementOf0 W1 W0 → aElementOf0 W1 xS)) (aSubsetOf0 W0 xS))
% 257.51/257.76 (Eq (sbrdtbr0 W0) xk))
% 257.51/257.76 (And (Or (And (aSet0 W0) (∀ (W1 : Iota), aElementOf0 W1 W0 → aElementOf0 W1 xS)) (aSubsetOf0 W0 xS))
% 257.51/257.76 (Eq (sbrdtbr0 W0) xk) →
% 257.51/257.76 aElementOf0 W0 (slbdtsldtrb0 xS xk))) →
% 257.51/257.76 Or (Not (Exists fun W0 => aElementOf0 W0 (slbdtsldtrb0 xS xk))) (Eq (slbdtsldtrb0 xS xk) slcrc0)))
% 257.51/257.76 True
% 257.51/257.76 Clause #864 (by clausification #[862]): Eq
% 257.51/257.76 ((∀ (W0 : Iota),
% 257.51/257.76 And
% 257.51/257.76 (aElementOf0 W0 (slbdtsldtrb0 xS xk) →
% 257.51/257.76 And (And (And (aSet0 W0) (∀ (W1 : Iota), aElementOf0 W1 W0 → aElementOf0 W1 xS)) (aSubsetOf0 W0 xS))
% 257.51/257.76 (Eq (sbrdtbr0 W0) xk))
% 257.51/257.76 (And (Or (And (aSet0 W0) (∀ (W1 : Iota), aElementOf0 W1 W0 → aElementOf0 W1 xS)) (aSubsetOf0 W0 xS))
% 257.51/257.76 (Eq (sbrdtbr0 W0) xk) →
% 257.51/257.76 aElementOf0 W0 (slbdtsldtrb0 xS xk))) →
% 257.51/257.76 Or (Not (Exists fun W0 => aElementOf0 W0 (slbdtsldtrb0 xS xk))) (Eq (slbdtsldtrb0 xS xk) slcrc0))
% 257.51/257.76 False
% 257.51/257.76 Clause #866 (by clausification #[864]): Eq (Or (Not (Exists fun W0 => aElementOf0 W0 (slbdtsldtrb0 xS xk))) (Eq (slbdtsldtrb0 xS xk) slcrc0)) False
% 257.51/257.76 Clause #881 (by clausification #[64]): Eq
% 257.51/257.76 (Exists fun W0 =>
% 257.51/257.76 Or
% 257.51/257.76 (And (Or (And (aSet0 W0) (∀ (W1 : Iota), aElementOf0 W1 W0 → aElementOf0 W1 xS)) (aSubsetOf0 W0 xS))
% 257.51/257.76 (Eq (sbrdtbr0 W0) xk))
% 257.51/257.76 (aElementOf0 W0 (slbdtsldtrb0 xS xk)))
% 257.51/257.76 False
% 257.51/257.76 Clause #882 (by clausification #[881]): ∀ (a : Iota),
% 257.51/257.76 Eq
% 257.51/257.76 (Or
% 257.51/257.76 (And (Or (And (aSet0 a) (∀ (W1 : Iota), aElementOf0 W1 a → aElementOf0 W1 xS)) (aSubsetOf0 a xS))
% 257.51/257.76 (Eq (sbrdtbr0 a) xk))
% 257.51/257.76 (aElementOf0 a (slbdtsldtrb0 xS xk)))
% 257.95/258.20 False
% 257.95/258.20 Clause #883 (by clausification #[882]): ∀ (a : Iota), Eq (aElementOf0 a (slbdtsldtrb0 xS xk)) False
% 257.95/258.20 Clause #63999 (by clausification #[866]): Eq (Not (Exists fun W0 => aElementOf0 W0 (slbdtsldtrb0 xS xk))) False
% 257.95/258.20 Clause #64001 (by clausification #[63999]): Eq (Exists fun W0 => aElementOf0 W0 (slbdtsldtrb0 xS xk)) True
% 257.95/258.20 Clause #64002 (by clausification #[64001]): ∀ (a : Iota), Eq (aElementOf0 (skS.0 11 a) (slbdtsldtrb0 xS xk)) True
% 257.95/258.20 Clause #64003 (by superposition #[64002, 883]): Eq True False
% 257.95/258.20 Clause #64004 (by clausification #[64003]): False
% 257.95/258.20 SZS output end Proof for theBenchmark.p
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