TSTP Solution File: NUM576+1 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : NUM576+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n006.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 32.85s 33.10s
% Output : Proof 32.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM576+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : duper %s
% 0.16/0.34 % Computer : n006.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Fri Aug 25 17:04:22 EDT 2023
% 0.16/0.34 % CPUTime :
% 32.85/33.10 SZS status Theorem for theBenchmark.p
% 32.85/33.10 SZS output start Proof for theBenchmark.p
% 32.85/33.10 Clause #34 (by assumption #[]): Eq
% 32.85/33.10 (∀ (W0 W1 : Iota),
% 32.85/33.10 And (aElementOf0 W0 szNzAzT0) (aElementOf0 W1 szNzAzT0) → And (sdtlseqdt0 W0 W1) (sdtlseqdt0 W1 W0) → Eq W0 W1)
% 32.85/33.10 True
% 32.85/33.10 Clause #36 (by assumption #[]): Eq
% 32.85/33.10 (∀ (W0 W1 : Iota),
% 32.85/33.10 And (aElementOf0 W0 szNzAzT0) (aElementOf0 W1 szNzAzT0) → Or (sdtlseqdt0 W0 W1) (sdtlseqdt0 (szszuzczcdt0 W1) W0))
% 32.85/33.10 True
% 32.85/33.10 Clause #82 (by assumption #[]): Eq (And (aElementOf0 xi szNzAzT0) (aElementOf0 xj szNzAzT0)) True
% 32.85/33.10 Clause #83 (by assumption #[]): Eq (Not (Ne xi xj → Or (sdtlseqdt0 (szszuzczcdt0 xj) xi) (sdtlseqdt0 (szszuzczcdt0 xi) xj))) True
% 32.85/33.10 Clause #243 (by clausification #[82]): Eq (aElementOf0 xj szNzAzT0) True
% 32.85/33.10 Clause #244 (by clausification #[82]): Eq (aElementOf0 xi szNzAzT0) True
% 32.85/33.10 Clause #408 (by clausification #[34]): ∀ (a : Iota),
% 32.85/33.10 Eq
% 32.85/33.10 (∀ (W1 : Iota),
% 32.85/33.10 And (aElementOf0 a szNzAzT0) (aElementOf0 W1 szNzAzT0) → And (sdtlseqdt0 a W1) (sdtlseqdt0 W1 a) → Eq a W1)
% 32.85/33.10 True
% 32.85/33.10 Clause #409 (by clausification #[408]): ∀ (a a_1 : Iota),
% 32.85/33.10 Eq (And (aElementOf0 a szNzAzT0) (aElementOf0 a_1 szNzAzT0) → And (sdtlseqdt0 a a_1) (sdtlseqdt0 a_1 a) → Eq a a_1)
% 32.85/33.10 True
% 32.85/33.10 Clause #410 (by clausification #[409]): ∀ (a a_1 : Iota),
% 32.85/33.10 Or (Eq (And (aElementOf0 a szNzAzT0) (aElementOf0 a_1 szNzAzT0)) False)
% 32.85/33.10 (Eq (And (sdtlseqdt0 a a_1) (sdtlseqdt0 a_1 a) → Eq a a_1) True)
% 32.85/33.10 Clause #411 (by clausification #[410]): ∀ (a a_1 : Iota),
% 32.85/33.10 Or (Eq (And (sdtlseqdt0 a a_1) (sdtlseqdt0 a_1 a) → Eq a a_1) True)
% 32.85/33.10 (Or (Eq (aElementOf0 a szNzAzT0) False) (Eq (aElementOf0 a_1 szNzAzT0) False))
% 32.85/33.10 Clause #412 (by clausification #[411]): ∀ (a a_1 : Iota),
% 32.85/33.10 Or (Eq (aElementOf0 a szNzAzT0) False)
% 32.85/33.10 (Or (Eq (aElementOf0 a_1 szNzAzT0) False)
% 32.85/33.10 (Or (Eq (And (sdtlseqdt0 a a_1) (sdtlseqdt0 a_1 a)) False) (Eq (Eq a a_1) True)))
% 32.85/33.10 Clause #413 (by clausification #[412]): ∀ (a a_1 : Iota),
% 32.85/33.10 Or (Eq (aElementOf0 a szNzAzT0) False)
% 32.85/33.10 (Or (Eq (aElementOf0 a_1 szNzAzT0) False)
% 32.85/33.10 (Or (Eq (Eq a a_1) True) (Or (Eq (sdtlseqdt0 a a_1) False) (Eq (sdtlseqdt0 a_1 a) False))))
% 32.85/33.10 Clause #414 (by clausification #[413]): ∀ (a a_1 : Iota),
% 32.85/33.10 Or (Eq (aElementOf0 a szNzAzT0) False)
% 32.85/33.10 (Or (Eq (aElementOf0 a_1 szNzAzT0) False)
% 32.85/33.10 (Or (Eq (sdtlseqdt0 a a_1) False) (Or (Eq (sdtlseqdt0 a_1 a) False) (Eq a a_1))))
% 32.85/33.10 Clause #418 (by superposition #[414, 244]): ∀ (a : Iota),
% 32.85/33.10 Or (Eq (aElementOf0 a szNzAzT0) False)
% 32.85/33.10 (Or (Eq (sdtlseqdt0 xi a) False) (Or (Eq (sdtlseqdt0 a xi) False) (Or (Eq xi a) (Eq False True))))
% 32.85/33.10 Clause #536 (by clausification #[36]): ∀ (a : Iota),
% 32.85/33.10 Eq
% 32.85/33.10 (∀ (W1 : Iota),
% 32.85/33.10 And (aElementOf0 a szNzAzT0) (aElementOf0 W1 szNzAzT0) → Or (sdtlseqdt0 a W1) (sdtlseqdt0 (szszuzczcdt0 W1) a))
% 32.85/33.10 True
% 32.85/33.10 Clause #537 (by clausification #[536]): ∀ (a a_1 : Iota),
% 32.85/33.10 Eq (And (aElementOf0 a szNzAzT0) (aElementOf0 a_1 szNzAzT0) → Or (sdtlseqdt0 a a_1) (sdtlseqdt0 (szszuzczcdt0 a_1) a))
% 32.85/33.10 True
% 32.85/33.10 Clause #538 (by clausification #[537]): ∀ (a a_1 : Iota),
% 32.85/33.10 Or (Eq (And (aElementOf0 a szNzAzT0) (aElementOf0 a_1 szNzAzT0)) False)
% 32.85/33.10 (Eq (Or (sdtlseqdt0 a a_1) (sdtlseqdt0 (szszuzczcdt0 a_1) a)) True)
% 32.85/33.10 Clause #539 (by clausification #[538]): ∀ (a a_1 : Iota),
% 32.85/33.10 Or (Eq (Or (sdtlseqdt0 a a_1) (sdtlseqdt0 (szszuzczcdt0 a_1) a)) True)
% 32.85/33.10 (Or (Eq (aElementOf0 a szNzAzT0) False) (Eq (aElementOf0 a_1 szNzAzT0) False))
% 32.85/33.10 Clause #540 (by clausification #[539]): ∀ (a a_1 : Iota),
% 32.85/33.10 Or (Eq (aElementOf0 a szNzAzT0) False)
% 32.85/33.10 (Or (Eq (aElementOf0 a_1 szNzAzT0) False)
% 32.85/33.10 (Or (Eq (sdtlseqdt0 a a_1) True) (Eq (sdtlseqdt0 (szszuzczcdt0 a_1) a) True)))
% 32.85/33.10 Clause #543 (by superposition #[540, 243]): ∀ (a : Iota),
% 32.85/33.10 Or (Eq (aElementOf0 a szNzAzT0) False)
% 32.85/33.10 (Or (Eq (sdtlseqdt0 xj a) True) (Or (Eq (sdtlseqdt0 (szszuzczcdt0 a) xj) True) (Eq False True)))
% 32.85/33.10 Clause #544 (by superposition #[540, 244]): ∀ (a : Iota),
% 32.85/33.10 Or (Eq (aElementOf0 a szNzAzT0) False)
% 32.85/33.10 (Or (Eq (sdtlseqdt0 xi a) True) (Or (Eq (sdtlseqdt0 (szszuzczcdt0 a) xi) True) (Eq False True)))
% 32.85/33.10 Clause #1482 (by clausification #[83]): Eq (Ne xi xj → Or (sdtlseqdt0 (szszuzczcdt0 xj) xi) (sdtlseqdt0 (szszuzczcdt0 xi) xj)) False
% 32.85/33.14 Clause #1483 (by clausification #[1482]): Eq (Ne xi xj) True
% 32.85/33.14 Clause #1484 (by clausification #[1482]): Eq (Or (sdtlseqdt0 (szszuzczcdt0 xj) xi) (sdtlseqdt0 (szszuzczcdt0 xi) xj)) False
% 32.85/33.14 Clause #1485 (by clausification #[1483]): Ne xi xj
% 32.85/33.14 Clause #1634 (by clausification #[1484]): Eq (sdtlseqdt0 (szszuzczcdt0 xi) xj) False
% 32.85/33.14 Clause #1635 (by clausification #[1484]): Eq (sdtlseqdt0 (szszuzczcdt0 xj) xi) False
% 32.85/33.14 Clause #3620 (by clausification #[418]): ∀ (a : Iota),
% 32.85/33.14 Or (Eq (aElementOf0 a szNzAzT0) False) (Or (Eq (sdtlseqdt0 xi a) False) (Or (Eq (sdtlseqdt0 a xi) False) (Eq xi a)))
% 32.85/33.14 Clause #3623 (by superposition #[3620, 243]): Or (Eq (sdtlseqdt0 xi xj) False) (Or (Eq (sdtlseqdt0 xj xi) False) (Or (Eq xi xj) (Eq False True)))
% 32.85/33.14 Clause #6225 (by clausification #[543]): ∀ (a : Iota),
% 32.85/33.14 Or (Eq (aElementOf0 a szNzAzT0) False) (Or (Eq (sdtlseqdt0 xj a) True) (Eq (sdtlseqdt0 (szszuzczcdt0 a) xj) True))
% 32.85/33.14 Clause #6229 (by superposition #[6225, 244]): Or (Eq (sdtlseqdt0 xj xi) True) (Or (Eq (sdtlseqdt0 (szszuzczcdt0 xi) xj) True) (Eq False True))
% 32.85/33.14 Clause #6262 (by clausification #[544]): ∀ (a : Iota),
% 32.85/33.14 Or (Eq (aElementOf0 a szNzAzT0) False) (Or (Eq (sdtlseqdt0 xi a) True) (Eq (sdtlseqdt0 (szszuzczcdt0 a) xi) True))
% 32.85/33.14 Clause #6265 (by superposition #[6262, 243]): Or (Eq (sdtlseqdt0 xi xj) True) (Or (Eq (sdtlseqdt0 (szszuzczcdt0 xj) xi) True) (Eq False True))
% 32.85/33.14 Clause #6303 (by clausification #[6229]): Or (Eq (sdtlseqdt0 xj xi) True) (Eq (sdtlseqdt0 (szszuzczcdt0 xi) xj) True)
% 32.85/33.14 Clause #6304 (by superposition #[6303, 1634]): Or (Eq (sdtlseqdt0 xj xi) True) (Eq True False)
% 32.85/33.14 Clause #6337 (by clausification #[6304]): Eq (sdtlseqdt0 xj xi) True
% 32.85/33.14 Clause #6376 (by clausification #[6265]): Or (Eq (sdtlseqdt0 xi xj) True) (Eq (sdtlseqdt0 (szszuzczcdt0 xj) xi) True)
% 32.85/33.14 Clause #6377 (by superposition #[6376, 1635]): Or (Eq (sdtlseqdt0 xi xj) True) (Eq True False)
% 32.85/33.14 Clause #6378 (by clausification #[6377]): Eq (sdtlseqdt0 xi xj) True
% 32.85/33.14 Clause #6909 (by clausification #[3623]): Or (Eq (sdtlseqdt0 xi xj) False) (Or (Eq (sdtlseqdt0 xj xi) False) (Eq xi xj))
% 32.85/33.14 Clause #6910 (by forward demodulation #[6909, 6337]): Or (Eq (sdtlseqdt0 xi xj) False) (Or (Eq True False) (Eq xi xj))
% 32.85/33.14 Clause #6911 (by clausification #[6910]): Or (Eq (sdtlseqdt0 xi xj) False) (Eq xi xj)
% 32.85/33.14 Clause #6912 (by forward contextual literal cutting #[6911, 1485]): Eq (sdtlseqdt0 xi xj) False
% 32.85/33.14 Clause #6913 (by superposition #[6912, 6378]): Eq False True
% 32.85/33.14 Clause #6914 (by clausification #[6913]): False
% 32.85/33.14 SZS output end Proof for theBenchmark.p
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