TSTP Solution File: NUN088+1 by Duper---1.0
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% File : Duper---1.0
% Problem : NUN088+1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n021.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 12:47:24 EDT 2023
% Result : Theorem 3.99s 4.19s
% Output : Proof 3.99s
% 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 : NUN088+1 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 09:06:57 EDT 2023
% 0.13/0.34 % CPUTime :
% 3.99/4.19 SZS status Theorem for theBenchmark.p
% 3.99/4.19 SZS output start Proof for theBenchmark.p
% 3.99/4.19 Clause #17 (by assumption #[]): Eq (∀ (X7 Y10 : Iota), Or (∀ (Y20 : Iota), Or (Not (id Y20 Y10)) (Not (r1 Y20))) (Not (r2 X7 Y10))) True
% 3.99/4.19 Clause #18 (by assumption #[]): Eq
% 3.99/4.19 (Not
% 3.99/4.19 (∀ (Y1 : Iota),
% 3.99/4.19 Or (∀ (Y2 : Iota), Or (Not (id Y2 Y1)) (Not (r1 Y2))) (∀ (Y3 : Iota), Or (Not (r1 Y3)) (Not (r2 Y3 Y1)))))
% 3.99/4.19 True
% 3.99/4.19 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
% 3.99/4.19 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
% 3.99/4.19 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)
% 3.99/4.19 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)
% 3.99/4.19 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)
% 3.99/4.19 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))
% 3.99/4.19 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))
% 3.99/4.19 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))
% 3.99/4.19 Clause #303 (by clausification #[18]): Eq
% 3.99/4.19 (∀ (Y1 : Iota),
% 3.99/4.19 Or (∀ (Y2 : Iota), Or (Not (id Y2 Y1)) (Not (r1 Y2))) (∀ (Y3 : Iota), Or (Not (r1 Y3)) (Not (r2 Y3 Y1))))
% 3.99/4.19 False
% 3.99/4.19 Clause #304 (by clausification #[303]): ∀ (a : Iota),
% 3.99/4.19 Eq
% 3.99/4.19 (Not
% 3.99/4.19 (Or (∀ (Y2 : Iota), Or (Not (id Y2 (skS.0 10 a))) (Not (r1 Y2)))
% 3.99/4.19 (∀ (Y3 : Iota), Or (Not (r1 Y3)) (Not (r2 Y3 (skS.0 10 a))))))
% 3.99/4.19 True
% 3.99/4.19 Clause #305 (by clausification #[304]): ∀ (a : Iota),
% 3.99/4.19 Eq
% 3.99/4.19 (Or (∀ (Y2 : Iota), Or (Not (id Y2 (skS.0 10 a))) (Not (r1 Y2)))
% 3.99/4.19 (∀ (Y3 : Iota), Or (Not (r1 Y3)) (Not (r2 Y3 (skS.0 10 a)))))
% 3.99/4.19 False
% 3.99/4.19 Clause #306 (by clausification #[305]): ∀ (a : Iota), Eq (∀ (Y3 : Iota), Or (Not (r1 Y3)) (Not (r2 Y3 (skS.0 10 a)))) False
% 3.99/4.19 Clause #307 (by clausification #[305]): ∀ (a : Iota), Eq (∀ (Y2 : Iota), Or (Not (id Y2 (skS.0 10 a))) (Not (r1 Y2))) False
% 3.99/4.19 Clause #308 (by clausification #[306]): ∀ (a a_1 : Iota), Eq (Not (Or (Not (r1 (skS.0 11 a a_1))) (Not (r2 (skS.0 11 a a_1) (skS.0 10 a))))) True
% 3.99/4.19 Clause #309 (by clausification #[308]): ∀ (a a_1 : Iota), Eq (Or (Not (r1 (skS.0 11 a a_1))) (Not (r2 (skS.0 11 a a_1) (skS.0 10 a)))) False
% 3.99/4.19 Clause #310 (by clausification #[309]): ∀ (a a_1 : Iota), Eq (Not (r2 (skS.0 11 a a_1) (skS.0 10 a))) False
% 3.99/4.19 Clause #312 (by clausification #[310]): ∀ (a a_1 : Iota), Eq (r2 (skS.0 11 a a_1) (skS.0 10 a)) True
% 3.99/4.19 Clause #313 (by superposition #[312, 52]): ∀ (a a_1 : Iota), Or (Eq True False) (Or (Eq (id a (skS.0 10 a_1)) False) (Eq (r1 a) False))
% 3.99/4.19 Clause #319 (by clausification #[313]): ∀ (a a_1 : Iota), Or (Eq (id a (skS.0 10 a_1)) False) (Eq (r1 a) False)
% 3.99/4.19 Clause #332 (by clausification #[307]): ∀ (a a_1 : Iota), Eq (Not (Or (Not (id (skS.0 14 a a_1) (skS.0 10 a))) (Not (r1 (skS.0 14 a a_1))))) True
% 3.99/4.19 Clause #333 (by clausification #[332]): ∀ (a a_1 : Iota), Eq (Or (Not (id (skS.0 14 a a_1) (skS.0 10 a))) (Not (r1 (skS.0 14 a a_1)))) False
% 3.99/4.19 Clause #334 (by clausification #[333]): ∀ (a a_1 : Iota), Eq (Not (r1 (skS.0 14 a a_1))) False
% 3.99/4.19 Clause #335 (by clausification #[333]): ∀ (a a_1 : Iota), Eq (Not (id (skS.0 14 a a_1) (skS.0 10 a))) False
% 3.99/4.19 Clause #336 (by clausification #[334]): ∀ (a a_1 : Iota), Eq (r1 (skS.0 14 a a_1)) True
% 3.99/4.19 Clause #338 (by clausification #[335]): ∀ (a a_1 : Iota), Eq (id (skS.0 14 a a_1) (skS.0 10 a)) True
% 3.99/4.19 Clause #339 (by superposition #[338, 319]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (r1 (skS.0 14 a a_1)) False)
% 3.99/4.19 Clause #349 (by clausification #[339]): ∀ (a a_1 : Iota), Eq (r1 (skS.0 14 a a_1)) False
% 3.99/4.19 Clause #350 (by superposition #[349, 336]): Eq False True
% 3.99/4.19 Clause #351 (by clausification #[350]): False
% 3.99/4.19 SZS output end Proof for theBenchmark.p
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