TSTP Solution File: NUN089+1 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : NUN089+1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n002.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 12:47:25 EDT 2023
% Result : Theorem 9.50s 9.81s
% Output : Proof 9.59s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : NUN089+1 : TPTP v8.1.2. Released v7.3.0.
% 0.08/0.11 % Command : duper %s
% 0.10/0.31 % Computer : n002.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Sun Aug 27 09:17:18 EDT 2023
% 0.10/0.31 % CPUTime :
% 9.50/9.81 SZS status Theorem for theBenchmark.p
% 9.50/9.81 SZS output start Proof for theBenchmark.p
% 9.50/9.81 Clause #0 (by assumption #[]): Eq (Exists fun Y24 => ∀ (X19 : Iota), Or (And (id X19 Y24) (r1 X19)) (And (Not (r1 X19)) (Not (id X19 Y24)))) True
% 9.50/9.81 Clause #5 (by assumption #[]): Eq (∀ (X21 X22 : Iota), Or (Not (id X21 X22)) (id X22 X21)) True
% 9.50/9.81 Clause #6 (by assumption #[]): Eq (∀ (X23 X24 X25 : Iota), Or (Or (Not (id X23 X24)) (id X23 X25)) (Not (id X24 X25))) True
% 9.50/9.81 Clause #7 (by assumption #[]): Eq (∀ (X26 X27 : Iota), Or (Or (Not (id X26 X27)) (And (Not (r1 X26)) (Not (r1 X27)))) (And (r1 X26) (r1 X27))) True
% 9.50/9.81 Clause #17 (by assumption #[]): Eq (∀ (X7 Y10 : Iota), Or (∀ (Y20 : Iota), Or (Not (id Y20 Y10)) (Not (r1 Y20))) (Not (r2 X7 Y10))) True
% 9.50/9.81 Clause #18 (by assumption #[]): Eq
% 9.50/9.81 (Not
% 9.50/9.81 (∀ (Y1 : Iota),
% 9.50/9.81 Or (∀ (Y2 : Iota), Or (∀ (Y3 : Iota), Or (Not (r1 Y3)) (Not (r2 Y3 Y2))) (Not (r2 Y2 Y1)))
% 9.50/9.81 (∀ (Y4 : Iota), Or (Not (id Y4 Y1)) (Not (r1 Y4)))))
% 9.50/9.81 True
% 9.50/9.81 Clause #20 (by clausification #[5]): ∀ (a : Iota), Eq (∀ (X22 : Iota), Or (Not (id a X22)) (id X22 a)) True
% 9.50/9.81 Clause #21 (by clausification #[20]): ∀ (a a_1 : Iota), Eq (Or (Not (id a a_1)) (id a_1 a)) True
% 9.50/9.81 Clause #22 (by clausification #[21]): ∀ (a a_1 : Iota), Or (Eq (Not (id a a_1)) True) (Eq (id a_1 a) True)
% 9.50/9.81 Clause #23 (by clausification #[22]): ∀ (a a_1 : Iota), Or (Eq (id a a_1) True) (Eq (id a_1 a) False)
% 9.50/9.81 Clause #25 (by clausification #[6]): ∀ (a : Iota), Eq (∀ (X24 X25 : Iota), Or (Or (Not (id a X24)) (id a X25)) (Not (id X24 X25))) True
% 9.50/9.81 Clause #26 (by clausification #[25]): ∀ (a a_1 : Iota), Eq (∀ (X25 : Iota), Or (Or (Not (id a a_1)) (id a X25)) (Not (id a_1 X25))) True
% 9.50/9.81 Clause #27 (by clausification #[26]): ∀ (a a_1 a_2 : Iota), Eq (Or (Or (Not (id a a_1)) (id a a_2)) (Not (id a_1 a_2))) True
% 9.50/9.81 Clause #28 (by clausification #[27]): ∀ (a a_1 a_2 : Iota), Or (Eq (Or (Not (id a a_1)) (id a a_2)) True) (Eq (Not (id a_1 a_2)) True)
% 9.50/9.81 Clause #29 (by clausification #[28]): ∀ (a a_1 a_2 : Iota), Or (Eq (Not (id a a_1)) True) (Or (Eq (Not (id a_2 a)) True) (Eq (id a_2 a_1) True))
% 9.50/9.81 Clause #30 (by clausification #[29]): ∀ (a a_1 a_2 : Iota), Or (Eq (Not (id a a_1)) True) (Or (Eq (id a a_2) True) (Eq (id a_1 a_2) False))
% 9.50/9.81 Clause #31 (by clausification #[30]): ∀ (a a_1 a_2 : Iota), Or (Eq (id a a_1) True) (Or (Eq (id a_2 a_1) False) (Eq (id a a_2) False))
% 9.50/9.81 Clause #34 (by clausification #[0]): ∀ (a : Iota),
% 9.50/9.81 Eq (∀ (X19 : Iota), Or (And (id X19 (skS.0 0 a)) (r1 X19)) (And (Not (r1 X19)) (Not (id X19 (skS.0 0 a))))) True
% 9.50/9.81 Clause #35 (by clausification #[34]): ∀ (a a_1 : Iota), Eq (Or (And (id a (skS.0 0 a_1)) (r1 a)) (And (Not (r1 a)) (Not (id a (skS.0 0 a_1))))) True
% 9.50/9.81 Clause #36 (by clausification #[35]): ∀ (a a_1 : Iota), Or (Eq (And (id a (skS.0 0 a_1)) (r1 a)) True) (Eq (And (Not (r1 a)) (Not (id a (skS.0 0 a_1)))) True)
% 9.50/9.81 Clause #38 (by clausification #[36]): ∀ (a a_1 : Iota), Or (Eq (And (Not (r1 a)) (Not (id a (skS.0 0 a_1)))) True) (Eq (id a (skS.0 0 a_1)) True)
% 9.50/9.81 Clause #45 (by clausification #[17]): ∀ (a : Iota), Eq (∀ (Y10 : Iota), Or (∀ (Y20 : Iota), Or (Not (id Y20 Y10)) (Not (r1 Y20))) (Not (r2 a Y10))) True
% 9.50/9.81 Clause #46 (by clausification #[45]): ∀ (a a_1 : Iota), Eq (Or (∀ (Y20 : Iota), Or (Not (id Y20 a)) (Not (r1 Y20))) (Not (r2 a_1 a))) True
% 9.50/9.81 Clause #47 (by clausification #[46]): ∀ (a a_1 : Iota), Or (Eq (∀ (Y20 : Iota), Or (Not (id Y20 a)) (Not (r1 Y20))) True) (Eq (Not (r2 a_1 a)) True)
% 9.50/9.81 Clause #48 (by clausification #[47]): ∀ (a a_1 a_2 : Iota), Or (Eq (Not (r2 a a_1)) True) (Eq (Or (Not (id a_2 a_1)) (Not (r1 a_2))) True)
% 9.50/9.81 Clause #49 (by clausification #[48]): ∀ (a a_1 a_2 : Iota), Or (Eq (Or (Not (id a a_1)) (Not (r1 a))) True) (Eq (r2 a_2 a_1) False)
% 9.50/9.81 Clause #50 (by clausification #[49]): ∀ (a a_1 a_2 : Iota), Or (Eq (r2 a a_1) False) (Or (Eq (Not (id a_2 a_1)) True) (Eq (Not (r1 a_2)) True))
% 9.50/9.81 Clause #51 (by clausification #[50]): ∀ (a a_1 a_2 : Iota), Or (Eq (r2 a a_1) False) (Or (Eq (Not (r1 a_2)) True) (Eq (id a_2 a_1) False))
% 9.50/9.81 Clause #52 (by clausification #[51]): ∀ (a a_1 a_2 : Iota), Or (Eq (r2 a a_1) False) (Or (Eq (id a_2 a_1) False) (Eq (r1 a_2) False))
% 9.59/9.84 Clause #120 (by clausification #[7]): ∀ (a : Iota), Eq (∀ (X27 : Iota), Or (Or (Not (id a X27)) (And (Not (r1 a)) (Not (r1 X27)))) (And (r1 a) (r1 X27))) True
% 9.59/9.84 Clause #121 (by clausification #[120]): ∀ (a a_1 : Iota), Eq (Or (Or (Not (id a a_1)) (And (Not (r1 a)) (Not (r1 a_1)))) (And (r1 a) (r1 a_1))) True
% 9.59/9.84 Clause #122 (by clausification #[121]): ∀ (a a_1 : Iota), Or (Eq (Or (Not (id a a_1)) (And (Not (r1 a)) (Not (r1 a_1)))) True) (Eq (And (r1 a) (r1 a_1)) True)
% 9.59/9.84 Clause #123 (by clausification #[122]): ∀ (a a_1 : Iota),
% 9.59/9.84 Or (Eq (And (r1 a) (r1 a_1)) True) (Or (Eq (Not (id a a_1)) True) (Eq (And (Not (r1 a)) (Not (r1 a_1))) True))
% 9.59/9.84 Clause #124 (by clausification #[123]): ∀ (a a_1 : Iota), Or (Eq (Not (id a a_1)) True) (Or (Eq (And (Not (r1 a)) (Not (r1 a_1))) True) (Eq (r1 a_1) True))
% 9.59/9.84 Clause #126 (by clausification #[124]): ∀ (a a_1 : Iota), Or (Eq (And (Not (r1 a)) (Not (r1 a_1))) True) (Or (Eq (r1 a_1) True) (Eq (id a a_1) False))
% 9.59/9.84 Clause #128 (by clausification #[126]): ∀ (a a_1 : Iota), Or (Eq (r1 a) True) (Or (Eq (id a_1 a) False) (Eq (Not (r1 a_1)) True))
% 9.59/9.84 Clause #130 (by clausification #[128]): ∀ (a a_1 : Iota), Or (Eq (r1 a) True) (Or (Eq (id a_1 a) False) (Eq (r1 a_1) False))
% 9.59/9.84 Clause #372 (by clausification #[18]): Eq
% 9.59/9.84 (∀ (Y1 : Iota),
% 9.59/9.84 Or (∀ (Y2 : Iota), Or (∀ (Y3 : Iota), Or (Not (r1 Y3)) (Not (r2 Y3 Y2))) (Not (r2 Y2 Y1)))
% 9.59/9.84 (∀ (Y4 : Iota), Or (Not (id Y4 Y1)) (Not (r1 Y4))))
% 9.59/9.84 False
% 9.59/9.84 Clause #373 (by clausification #[372]): ∀ (a : Iota),
% 9.59/9.84 Eq
% 9.59/9.84 (Not
% 9.59/9.84 (Or (∀ (Y2 : Iota), Or (∀ (Y3 : Iota), Or (Not (r1 Y3)) (Not (r2 Y3 Y2))) (Not (r2 Y2 (skS.0 16 a))))
% 9.59/9.84 (∀ (Y4 : Iota), Or (Not (id Y4 (skS.0 16 a))) (Not (r1 Y4)))))
% 9.59/9.84 True
% 9.59/9.84 Clause #374 (by clausification #[373]): ∀ (a : Iota),
% 9.59/9.84 Eq
% 9.59/9.84 (Or (∀ (Y2 : Iota), Or (∀ (Y3 : Iota), Or (Not (r1 Y3)) (Not (r2 Y3 Y2))) (Not (r2 Y2 (skS.0 16 a))))
% 9.59/9.84 (∀ (Y4 : Iota), Or (Not (id Y4 (skS.0 16 a))) (Not (r1 Y4))))
% 9.59/9.84 False
% 9.59/9.84 Clause #375 (by clausification #[374]): ∀ (a : Iota), Eq (∀ (Y4 : Iota), Or (Not (id Y4 (skS.0 16 a))) (Not (r1 Y4))) False
% 9.59/9.84 Clause #376 (by clausification #[374]): ∀ (a : Iota), Eq (∀ (Y2 : Iota), Or (∀ (Y3 : Iota), Or (Not (r1 Y3)) (Not (r2 Y3 Y2))) (Not (r2 Y2 (skS.0 16 a)))) False
% 9.59/9.84 Clause #377 (by clausification #[375]): ∀ (a a_1 : Iota), Eq (Not (Or (Not (id (skS.0 17 a a_1) (skS.0 16 a))) (Not (r1 (skS.0 17 a a_1))))) True
% 9.59/9.84 Clause #378 (by clausification #[377]): ∀ (a a_1 : Iota), Eq (Or (Not (id (skS.0 17 a a_1) (skS.0 16 a))) (Not (r1 (skS.0 17 a a_1)))) False
% 9.59/9.84 Clause #379 (by clausification #[378]): ∀ (a a_1 : Iota), Eq (Not (r1 (skS.0 17 a a_1))) False
% 9.59/9.84 Clause #380 (by clausification #[378]): ∀ (a a_1 : Iota), Eq (Not (id (skS.0 17 a a_1) (skS.0 16 a))) False
% 9.59/9.84 Clause #381 (by clausification #[379]): ∀ (a a_1 : Iota), Eq (r1 (skS.0 17 a a_1)) True
% 9.59/9.84 Clause #384 (by clausification #[380]): ∀ (a a_1 : Iota), Eq (id (skS.0 17 a a_1) (skS.0 16 a)) True
% 9.59/9.84 Clause #388 (by superposition #[384, 130]): ∀ (a a_1 : Iota), Or (Eq (r1 (skS.0 16 a)) True) (Or (Eq True False) (Eq (r1 (skS.0 17 a a_1)) False))
% 9.59/9.84 Clause #406 (by clausification #[38]): ∀ (a a_1 : Iota), Or (Eq (id a (skS.0 0 a_1)) True) (Eq (Not (r1 a)) True)
% 9.59/9.84 Clause #408 (by clausification #[406]): ∀ (a a_1 : Iota), Or (Eq (id a (skS.0 0 a_1)) True) (Eq (r1 a) False)
% 9.59/9.84 Clause #467 (by clausification #[388]): ∀ (a a_1 : Iota), Or (Eq (r1 (skS.0 16 a)) True) (Eq (r1 (skS.0 17 a a_1)) False)
% 9.59/9.84 Clause #468 (by superposition #[467, 381]): ∀ (a : Iota), Or (Eq (r1 (skS.0 16 a)) True) (Eq False True)
% 9.59/9.84 Clause #469 (by clausification #[468]): ∀ (a : Iota), Eq (r1 (skS.0 16 a)) True
% 9.59/9.84 Clause #473 (by superposition #[469, 408]): ∀ (a a_1 : Iota), Or (Eq (id (skS.0 16 a) (skS.0 0 a_1)) True) (Eq True False)
% 9.59/9.84 Clause #474 (by clausification #[473]): ∀ (a a_1 : Iota), Eq (id (skS.0 16 a) (skS.0 0 a_1)) True
% 9.59/9.84 Clause #476 (by superposition #[474, 23]): ∀ (a a_1 : Iota), Or (Eq (id (skS.0 0 a) (skS.0 16 a_1)) True) (Eq True False)
% 9.59/9.84 Clause #487 (by clausification #[476]): ∀ (a a_1 : Iota), Eq (id (skS.0 0 a) (skS.0 16 a_1)) True
% 9.59/9.85 Clause #488 (by superposition #[487, 31]): ∀ (a a_1 a_2 : Iota), Or (Eq (id a (skS.0 16 a_1)) True) (Or (Eq True False) (Eq (id a (skS.0 0 a_2)) False))
% 9.59/9.85 Clause #507 (by clausification #[488]): ∀ (a a_1 a_2 : Iota), Or (Eq (id a (skS.0 16 a_1)) True) (Eq (id a (skS.0 0 a_2)) False)
% 9.59/9.85 Clause #510 (by superposition #[507, 474]): ∀ (a a_1 : Iota), Or (Eq (id (skS.0 16 a) (skS.0 16 a_1)) True) (Eq False True)
% 9.59/9.85 Clause #513 (by clausification #[510]): ∀ (a a_1 : Iota), Eq (id (skS.0 16 a) (skS.0 16 a_1)) True
% 9.59/9.85 Clause #965 (by clausification #[376]): ∀ (a a_1 : Iota),
% 9.59/9.85 Eq
% 9.59/9.85 (Not (Or (∀ (Y3 : Iota), Or (Not (r1 Y3)) (Not (r2 Y3 (skS.0 18 a a_1)))) (Not (r2 (skS.0 18 a a_1) (skS.0 16 a)))))
% 9.59/9.85 True
% 9.59/9.85 Clause #966 (by clausification #[965]): ∀ (a a_1 : Iota),
% 9.59/9.85 Eq (Or (∀ (Y3 : Iota), Or (Not (r1 Y3)) (Not (r2 Y3 (skS.0 18 a a_1)))) (Not (r2 (skS.0 18 a a_1) (skS.0 16 a))))
% 9.59/9.85 False
% 9.59/9.85 Clause #967 (by clausification #[966]): ∀ (a a_1 : Iota), Eq (Not (r2 (skS.0 18 a a_1) (skS.0 16 a))) False
% 9.59/9.85 Clause #969 (by clausification #[967]): ∀ (a a_1 : Iota), Eq (r2 (skS.0 18 a a_1) (skS.0 16 a)) True
% 9.59/9.85 Clause #972 (by superposition #[969, 52]): ∀ (a a_1 : Iota), Or (Eq True False) (Or (Eq (id a (skS.0 16 a_1)) False) (Eq (r1 a) False))
% 9.59/9.85 Clause #977 (by clausification #[972]): ∀ (a a_1 : Iota), Or (Eq (id a (skS.0 16 a_1)) False) (Eq (r1 a) False)
% 9.59/9.85 Clause #979 (by superposition #[977, 513]): ∀ (a : Iota), Or (Eq (r1 (skS.0 16 a)) False) (Eq False True)
% 9.59/9.85 Clause #990 (by clausification #[979]): ∀ (a : Iota), Eq (r1 (skS.0 16 a)) False
% 9.59/9.85 Clause #991 (by superposition #[990, 469]): Eq False True
% 9.59/9.85 Clause #992 (by clausification #[991]): False
% 9.59/9.85 SZS output end Proof for theBenchmark.p
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