TSTP Solution File: NUM576+3 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : NUM576+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n004.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 10:56:20 EDT 2023
% Result : Theorem 51.81s 52.06s
% Output : Proof 51.85s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM576+3 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % Command : duper %s
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 25 08:46:23 EDT 2023
% 0.13/0.35 % CPUTime :
% 51.81/52.06 SZS status Theorem for theBenchmark.p
% 51.81/52.06 SZS output start Proof for theBenchmark.p
% 51.81/52.06 Clause #34 (by assumption #[]): Eq
% 51.81/52.06 (∀ (W0 W1 : Iota),
% 51.81/52.06 And (aElementOf0 W0 szNzAzT0) (aElementOf0 W1 szNzAzT0) → And (sdtlseqdt0 W0 W1) (sdtlseqdt0 W1 W0) → Eq W0 W1)
% 51.81/52.06 True
% 51.81/52.06 Clause #36 (by assumption #[]): Eq
% 51.81/52.06 (∀ (W0 W1 : Iota),
% 51.81/52.06 And (aElementOf0 W0 szNzAzT0) (aElementOf0 W1 szNzAzT0) → Or (sdtlseqdt0 W0 W1) (sdtlseqdt0 (szszuzczcdt0 W1) W0))
% 51.81/52.06 True
% 51.81/52.06 Clause #82 (by assumption #[]): Eq (And (aElementOf0 xi szNzAzT0) (aElementOf0 xj szNzAzT0)) True
% 51.81/52.06 Clause #83 (by assumption #[]): Eq (Not (Ne xi xj → Or (sdtlseqdt0 (szszuzczcdt0 xj) xi) (sdtlseqdt0 (szszuzczcdt0 xi) xj))) True
% 51.81/52.06 Clause #221 (by clausification #[82]): Eq (aElementOf0 xj szNzAzT0) True
% 51.81/52.06 Clause #222 (by clausification #[82]): Eq (aElementOf0 xi szNzAzT0) True
% 51.81/52.06 Clause #509 (by clausification #[34]): ∀ (a : Iota),
% 51.81/52.06 Eq
% 51.81/52.06 (∀ (W1 : Iota),
% 51.81/52.06 And (aElementOf0 a szNzAzT0) (aElementOf0 W1 szNzAzT0) → And (sdtlseqdt0 a W1) (sdtlseqdt0 W1 a) → Eq a W1)
% 51.81/52.06 True
% 51.81/52.06 Clause #510 (by clausification #[509]): ∀ (a a_1 : Iota),
% 51.81/52.06 Eq (And (aElementOf0 a szNzAzT0) (aElementOf0 a_1 szNzAzT0) → And (sdtlseqdt0 a a_1) (sdtlseqdt0 a_1 a) → Eq a a_1)
% 51.81/52.06 True
% 51.81/52.06 Clause #511 (by clausification #[510]): ∀ (a a_1 : Iota),
% 51.81/52.06 Or (Eq (And (aElementOf0 a szNzAzT0) (aElementOf0 a_1 szNzAzT0)) False)
% 51.81/52.06 (Eq (And (sdtlseqdt0 a a_1) (sdtlseqdt0 a_1 a) → Eq a a_1) True)
% 51.81/52.06 Clause #512 (by clausification #[511]): ∀ (a a_1 : Iota),
% 51.81/52.06 Or (Eq (And (sdtlseqdt0 a a_1) (sdtlseqdt0 a_1 a) → Eq a a_1) True)
% 51.81/52.06 (Or (Eq (aElementOf0 a szNzAzT0) False) (Eq (aElementOf0 a_1 szNzAzT0) False))
% 51.81/52.06 Clause #513 (by clausification #[512]): ∀ (a a_1 : Iota),
% 51.81/52.06 Or (Eq (aElementOf0 a szNzAzT0) False)
% 51.81/52.06 (Or (Eq (aElementOf0 a_1 szNzAzT0) False)
% 51.81/52.06 (Or (Eq (And (sdtlseqdt0 a a_1) (sdtlseqdt0 a_1 a)) False) (Eq (Eq a a_1) True)))
% 51.81/52.06 Clause #514 (by clausification #[513]): ∀ (a a_1 : Iota),
% 51.81/52.06 Or (Eq (aElementOf0 a szNzAzT0) False)
% 51.81/52.06 (Or (Eq (aElementOf0 a_1 szNzAzT0) False)
% 51.81/52.06 (Or (Eq (Eq a a_1) True) (Or (Eq (sdtlseqdt0 a a_1) False) (Eq (sdtlseqdt0 a_1 a) False))))
% 51.81/52.06 Clause #515 (by clausification #[514]): ∀ (a a_1 : Iota),
% 51.81/52.06 Or (Eq (aElementOf0 a szNzAzT0) False)
% 51.81/52.06 (Or (Eq (aElementOf0 a_1 szNzAzT0) False)
% 51.81/52.06 (Or (Eq (sdtlseqdt0 a a_1) False) (Or (Eq (sdtlseqdt0 a_1 a) False) (Eq a a_1))))
% 51.81/52.06 Clause #518 (by superposition #[515, 221]): ∀ (a : Iota),
% 51.81/52.06 Or (Eq (aElementOf0 a szNzAzT0) False)
% 51.81/52.06 (Or (Eq (sdtlseqdt0 xj a) False) (Or (Eq (sdtlseqdt0 a xj) False) (Or (Eq xj a) (Eq False True))))
% 51.81/52.06 Clause #547 (by clausification #[36]): ∀ (a : Iota),
% 51.81/52.06 Eq
% 51.81/52.06 (∀ (W1 : Iota),
% 51.81/52.06 And (aElementOf0 a szNzAzT0) (aElementOf0 W1 szNzAzT0) → Or (sdtlseqdt0 a W1) (sdtlseqdt0 (szszuzczcdt0 W1) a))
% 51.81/52.06 True
% 51.81/52.06 Clause #548 (by clausification #[547]): ∀ (a a_1 : Iota),
% 51.81/52.06 Eq (And (aElementOf0 a szNzAzT0) (aElementOf0 a_1 szNzAzT0) → Or (sdtlseqdt0 a a_1) (sdtlseqdt0 (szszuzczcdt0 a_1) a))
% 51.81/52.06 True
% 51.81/52.06 Clause #549 (by clausification #[548]): ∀ (a a_1 : Iota),
% 51.81/52.06 Or (Eq (And (aElementOf0 a szNzAzT0) (aElementOf0 a_1 szNzAzT0)) False)
% 51.81/52.06 (Eq (Or (sdtlseqdt0 a a_1) (sdtlseqdt0 (szszuzczcdt0 a_1) a)) True)
% 51.81/52.06 Clause #550 (by clausification #[549]): ∀ (a a_1 : Iota),
% 51.81/52.06 Or (Eq (Or (sdtlseqdt0 a a_1) (sdtlseqdt0 (szszuzczcdt0 a_1) a)) True)
% 51.81/52.06 (Or (Eq (aElementOf0 a szNzAzT0) False) (Eq (aElementOf0 a_1 szNzAzT0) False))
% 51.81/52.06 Clause #551 (by clausification #[550]): ∀ (a a_1 : Iota),
% 51.81/52.06 Or (Eq (aElementOf0 a szNzAzT0) False)
% 51.81/52.06 (Or (Eq (aElementOf0 a_1 szNzAzT0) False)
% 51.81/52.06 (Or (Eq (sdtlseqdt0 a a_1) True) (Eq (sdtlseqdt0 (szszuzczcdt0 a_1) a) True)))
% 51.81/52.06 Clause #554 (by superposition #[551, 221]): ∀ (a : Iota),
% 51.81/52.06 Or (Eq (aElementOf0 a szNzAzT0) False)
% 51.81/52.06 (Or (Eq (sdtlseqdt0 xj a) True) (Or (Eq (sdtlseqdt0 (szszuzczcdt0 a) xj) True) (Eq False True)))
% 51.81/52.06 Clause #555 (by superposition #[551, 222]): ∀ (a : Iota),
% 51.81/52.06 Or (Eq (aElementOf0 a szNzAzT0) False)
% 51.81/52.06 (Or (Eq (sdtlseqdt0 xi a) True) (Or (Eq (sdtlseqdt0 (szszuzczcdt0 a) xi) True) (Eq False True)))
% 51.81/52.06 Clause #1488 (by clausification #[83]): Eq (Ne xi xj → Or (sdtlseqdt0 (szszuzczcdt0 xj) xi) (sdtlseqdt0 (szszuzczcdt0 xi) xj)) False
% 51.85/52.09 Clause #1489 (by clausification #[1488]): Eq (Ne xi xj) True
% 51.85/52.09 Clause #1490 (by clausification #[1488]): Eq (Or (sdtlseqdt0 (szszuzczcdt0 xj) xi) (sdtlseqdt0 (szszuzczcdt0 xi) xj)) False
% 51.85/52.09 Clause #1491 (by clausification #[1489]): Ne xi xj
% 51.85/52.09 Clause #1666 (by clausification #[1490]): Eq (sdtlseqdt0 (szszuzczcdt0 xi) xj) False
% 51.85/52.09 Clause #1667 (by clausification #[1490]): Eq (sdtlseqdt0 (szszuzczcdt0 xj) xi) False
% 51.85/52.09 Clause #4114 (by clausification #[518]): ∀ (a : Iota),
% 51.85/52.09 Or (Eq (aElementOf0 a szNzAzT0) False) (Or (Eq (sdtlseqdt0 xj a) False) (Or (Eq (sdtlseqdt0 a xj) False) (Eq xj a)))
% 51.85/52.09 Clause #4118 (by superposition #[4114, 222]): Or (Eq (sdtlseqdt0 xj xi) False) (Or (Eq (sdtlseqdt0 xi xj) False) (Or (Eq xj xi) (Eq False True)))
% 51.85/52.09 Clause #4151 (by clausification #[4118]): Or (Eq (sdtlseqdt0 xj xi) False) (Or (Eq (sdtlseqdt0 xi xj) False) (Eq xj xi))
% 51.85/52.09 Clause #4152 (by forward contextual literal cutting #[4151, 1491]): Or (Eq (sdtlseqdt0 xj xi) False) (Eq (sdtlseqdt0 xi xj) False)
% 51.85/52.09 Clause #4760 (by clausification #[554]): ∀ (a : Iota),
% 51.85/52.09 Or (Eq (aElementOf0 a szNzAzT0) False) (Or (Eq (sdtlseqdt0 xj a) True) (Eq (sdtlseqdt0 (szszuzczcdt0 a) xj) True))
% 51.85/52.09 Clause #4764 (by superposition #[4760, 222]): Or (Eq (sdtlseqdt0 xj xi) True) (Or (Eq (sdtlseqdt0 (szszuzczcdt0 xi) xj) True) (Eq False True))
% 51.85/52.09 Clause #4804 (by clausification #[555]): ∀ (a : Iota),
% 51.85/52.09 Or (Eq (aElementOf0 a szNzAzT0) False) (Or (Eq (sdtlseqdt0 xi a) True) (Eq (sdtlseqdt0 (szszuzczcdt0 a) xi) True))
% 51.85/52.09 Clause #4807 (by superposition #[4804, 221]): Or (Eq (sdtlseqdt0 xi xj) True) (Or (Eq (sdtlseqdt0 (szszuzczcdt0 xj) xi) True) (Eq False True))
% 51.85/52.09 Clause #5090 (by clausification #[4807]): Or (Eq (sdtlseqdt0 xi xj) True) (Eq (sdtlseqdt0 (szszuzczcdt0 xj) xi) True)
% 51.85/52.09 Clause #5091 (by superposition #[5090, 1667]): Or (Eq (sdtlseqdt0 xi xj) True) (Eq True False)
% 51.85/52.09 Clause #5094 (by clausification #[5091]): Eq (sdtlseqdt0 xi xj) True
% 51.85/52.09 Clause #5240 (by clausification #[4764]): Or (Eq (sdtlseqdt0 xj xi) True) (Eq (sdtlseqdt0 (szszuzczcdt0 xi) xj) True)
% 51.85/52.09 Clause #5241 (by superposition #[5240, 1666]): Or (Eq (sdtlseqdt0 xj xi) True) (Eq True False)
% 51.85/52.09 Clause #5248 (by clausification #[5241]): Eq (sdtlseqdt0 xj xi) True
% 51.85/52.09 Clause #5250 (by backward demodulation #[5248, 4152]): Or (Eq True False) (Eq (sdtlseqdt0 xi xj) False)
% 51.85/52.09 Clause #5252 (by clausification #[5250]): Eq (sdtlseqdt0 xi xj) False
% 51.85/52.09 Clause #5253 (by superposition #[5252, 5094]): Eq False True
% 51.85/52.09 Clause #5254 (by clausification #[5253]): False
% 51.85/52.09 SZS output end Proof for theBenchmark.p
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