TSTP Solution File: NUM532+1 by Duper---1.0
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% File : Duper---1.0
% Problem : NUM532+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n029.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 10:56:07 EDT 2023
% Result : Theorem 3.64s 3.84s
% Output : Proof 3.64s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM532+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n029.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 08:51:09 EDT 2023
% 0.14/0.36 % CPUTime :
% 3.64/3.84 SZS status Theorem for theBenchmark.p
% 3.64/3.84 SZS output start Proof for theBenchmark.p
% 3.64/3.84 Clause #9 (by assumption #[]): Eq
% 3.64/3.84 (∀ (W0 : Iota),
% 3.64/3.84 aSet0 W0 →
% 3.64/3.84 ∀ (W1 : Iota), Iff (aSubsetOf0 W1 W0) (And (aSet0 W1) (∀ (W2 : Iota), aElementOf0 W2 W1 → aElementOf0 W2 W0)))
% 3.64/3.84 True
% 3.64/3.84 Clause #11 (by assumption #[]): Eq (aSet0 xA) True
% 3.64/3.84 Clause #12 (by assumption #[]): Eq (Not (aSubsetOf0 xA xA)) True
% 3.64/3.84 Clause #17 (by clausification #[12]): Eq (aSubsetOf0 xA xA) False
% 3.64/3.84 Clause #59 (by clausification #[9]): ∀ (a : Iota),
% 3.64/3.84 Eq
% 3.64/3.84 (aSet0 a →
% 3.64/3.84 ∀ (W1 : Iota), Iff (aSubsetOf0 W1 a) (And (aSet0 W1) (∀ (W2 : Iota), aElementOf0 W2 W1 → aElementOf0 W2 a)))
% 3.64/3.84 True
% 3.64/3.84 Clause #60 (by clausification #[59]): ∀ (a : Iota),
% 3.64/3.84 Or (Eq (aSet0 a) False)
% 3.64/3.84 (Eq (∀ (W1 : Iota), Iff (aSubsetOf0 W1 a) (And (aSet0 W1) (∀ (W2 : Iota), aElementOf0 W2 W1 → aElementOf0 W2 a)))
% 3.64/3.84 True)
% 3.64/3.84 Clause #61 (by clausification #[60]): ∀ (a a_1 : Iota),
% 3.64/3.84 Or (Eq (aSet0 a) False)
% 3.64/3.84 (Eq (Iff (aSubsetOf0 a_1 a) (And (aSet0 a_1) (∀ (W2 : Iota), aElementOf0 W2 a_1 → aElementOf0 W2 a))) True)
% 3.64/3.84 Clause #62 (by clausification #[61]): ∀ (a a_1 : Iota),
% 3.64/3.84 Or (Eq (aSet0 a) False)
% 3.64/3.84 (Or (Eq (aSubsetOf0 a_1 a) True)
% 3.64/3.84 (Eq (And (aSet0 a_1) (∀ (W2 : Iota), aElementOf0 W2 a_1 → aElementOf0 W2 a)) False))
% 3.64/3.84 Clause #64 (by clausification #[62]): ∀ (a a_1 : Iota),
% 3.64/3.84 Or (Eq (aSet0 a) False)
% 3.64/3.84 (Or (Eq (aSubsetOf0 a_1 a) True)
% 3.64/3.84 (Or (Eq (aSet0 a_1) False) (Eq (∀ (W2 : Iota), aElementOf0 W2 a_1 → aElementOf0 W2 a) False)))
% 3.64/3.84 Clause #65 (by clausification #[64]): ∀ (a a_1 a_2 : Iota),
% 3.64/3.84 Or (Eq (aSet0 a) False)
% 3.64/3.84 (Or (Eq (aSubsetOf0 a_1 a) True)
% 3.64/3.84 (Or (Eq (aSet0 a_1) False)
% 3.64/3.84 (Eq (Not (aElementOf0 (skS.0 1 a_1 a a_2) a_1 → aElementOf0 (skS.0 1 a_1 a a_2) a)) True)))
% 3.64/3.84 Clause #66 (by clausification #[65]): ∀ (a a_1 a_2 : Iota),
% 3.64/3.84 Or (Eq (aSet0 a) False)
% 3.64/3.84 (Or (Eq (aSubsetOf0 a_1 a) True)
% 3.64/3.84 (Or (Eq (aSet0 a_1) False) (Eq (aElementOf0 (skS.0 1 a_1 a a_2) a_1 → aElementOf0 (skS.0 1 a_1 a a_2) a) False)))
% 3.64/3.84 Clause #67 (by clausification #[66]): ∀ (a a_1 a_2 : Iota),
% 3.64/3.84 Or (Eq (aSet0 a) False)
% 3.64/3.84 (Or (Eq (aSubsetOf0 a_1 a) True) (Or (Eq (aSet0 a_1) False) (Eq (aElementOf0 (skS.0 1 a_1 a a_2) a_1) True)))
% 3.64/3.84 Clause #68 (by clausification #[66]): ∀ (a a_1 a_2 : Iota),
% 3.64/3.84 Or (Eq (aSet0 a) False)
% 3.64/3.84 (Or (Eq (aSubsetOf0 a_1 a) True) (Or (Eq (aSet0 a_1) False) (Eq (aElementOf0 (skS.0 1 a_1 a a_2) a) False)))
% 3.64/3.84 Clause #69 (by superposition #[67, 11]): ∀ (a a_1 : Iota),
% 3.64/3.84 Or (Eq (aSubsetOf0 a xA) True)
% 3.64/3.84 (Or (Eq (aSet0 a) False) (Or (Eq (aElementOf0 (skS.0 1 a xA a_1) a) True) (Eq False True)))
% 3.64/3.84 Clause #100 (by superposition #[68, 11]): ∀ (a a_1 : Iota),
% 3.64/3.84 Or (Eq (aSubsetOf0 a xA) True)
% 3.64/3.84 (Or (Eq (aSet0 a) False) (Or (Eq (aElementOf0 (skS.0 1 a xA a_1) xA) False) (Eq False True)))
% 3.64/3.84 Clause #104 (by clausification #[69]): ∀ (a a_1 : Iota), Or (Eq (aSubsetOf0 a xA) True) (Or (Eq (aSet0 a) False) (Eq (aElementOf0 (skS.0 1 a xA a_1) a) True))
% 3.64/3.84 Clause #105 (by superposition #[104, 11]): ∀ (a : Iota), Or (Eq (aSubsetOf0 xA xA) True) (Or (Eq (aElementOf0 (skS.0 1 xA xA a) xA) True) (Eq False True))
% 3.64/3.84 Clause #117 (by clausification #[105]): ∀ (a : Iota), Or (Eq (aSubsetOf0 xA xA) True) (Eq (aElementOf0 (skS.0 1 xA xA a) xA) True)
% 3.64/3.84 Clause #118 (by forward demodulation #[117, 17]): ∀ (a : Iota), Or (Eq False True) (Eq (aElementOf0 (skS.0 1 xA xA a) xA) True)
% 3.64/3.84 Clause #119 (by clausification #[118]): ∀ (a : Iota), Eq (aElementOf0 (skS.0 1 xA xA a) xA) True
% 3.64/3.84 Clause #122 (by clausification #[100]): ∀ (a a_1 : Iota),
% 3.64/3.84 Or (Eq (aSubsetOf0 a xA) True) (Or (Eq (aSet0 a) False) (Eq (aElementOf0 (skS.0 1 a xA a_1) xA) False))
% 3.64/3.84 Clause #123 (by superposition #[122, 11]): ∀ (a : Iota), Or (Eq (aSubsetOf0 xA xA) True) (Or (Eq (aElementOf0 (skS.0 1 xA xA a) xA) False) (Eq False True))
% 3.64/3.84 Clause #137 (by clausification #[123]): ∀ (a : Iota), Or (Eq (aSubsetOf0 xA xA) True) (Eq (aElementOf0 (skS.0 1 xA xA a) xA) False)
% 3.64/3.84 Clause #138 (by forward demodulation #[137, 17]): ∀ (a : Iota), Or (Eq False True) (Eq (aElementOf0 (skS.0 1 xA xA a) xA) False)
% 3.64/3.84 Clause #139 (by clausification #[138]): ∀ (a : Iota), Eq (aElementOf0 (skS.0 1 xA xA a) xA) False
% 3.64/3.84 Clause #140 (by superposition #[139, 119]): Eq False True
% 3.64/3.84 Clause #141 (by clausification #[140]): False
% 3.64/3.84 SZS output end Proof for theBenchmark.p
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