TSTP Solution File: SEU247+1 by Duper---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SEU247+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n027.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 16:41:02 EDT 2023
% Result : Theorem 120.95s 121.36s
% Output : Proof 120.95s
% 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 : SEU247+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : duper %s
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Aug 23 18:19:31 EDT 2023
% 0.12/0.34 % CPUTime :
% 120.95/121.36 SZS status Theorem for theBenchmark.p
% 120.95/121.36 SZS output start Proof for theBenchmark.p
% 120.95/121.36 Clause #7 (by assumption #[]): Eq
% 120.95/121.36 (∀ (A B C : Iota),
% 120.95/121.36 relation C →
% 120.95/121.36 Eq (relation_dom_restriction (relation_rng_restriction A C) B)
% 120.95/121.36 (relation_rng_restriction A (relation_dom_restriction C B)))
% 120.95/121.36 True
% 120.95/121.36 Clause #8 (by assumption #[]): Eq
% 120.95/121.36 (∀ (A B : Iota),
% 120.95/121.36 relation B → Eq (relation_restriction B A) (relation_dom_restriction (relation_rng_restriction A B) A))
% 120.95/121.36 True
% 120.95/121.36 Clause #9 (by assumption #[]): Eq
% 120.95/121.36 (Not
% 120.95/121.36 (∀ (A B : Iota),
% 120.95/121.36 relation B → Eq (relation_restriction B A) (relation_rng_restriction A (relation_dom_restriction B A))))
% 120.95/121.36 True
% 120.95/121.36 Clause #25 (by clausification #[8]): ∀ (a : Iota),
% 120.95/121.36 Eq
% 120.95/121.36 (∀ (B : Iota),
% 120.95/121.36 relation B → Eq (relation_restriction B a) (relation_dom_restriction (relation_rng_restriction a B) a))
% 120.95/121.36 True
% 120.95/121.36 Clause #26 (by clausification #[25]): ∀ (a a_1 : Iota),
% 120.95/121.36 Eq (relation a → Eq (relation_restriction a a_1) (relation_dom_restriction (relation_rng_restriction a_1 a) a_1)) True
% 120.95/121.36 Clause #27 (by clausification #[26]): ∀ (a a_1 : Iota),
% 120.95/121.36 Or (Eq (relation a) False)
% 120.95/121.36 (Eq (Eq (relation_restriction a a_1) (relation_dom_restriction (relation_rng_restriction a_1 a) a_1)) True)
% 120.95/121.36 Clause #28 (by clausification #[27]): ∀ (a a_1 : Iota),
% 120.95/121.36 Or (Eq (relation a) False)
% 120.95/121.36 (Eq (relation_restriction a a_1) (relation_dom_restriction (relation_rng_restriction a_1 a) a_1))
% 120.95/121.36 Clause #33 (by clausification #[9]): Eq
% 120.95/121.36 (∀ (A B : Iota),
% 120.95/121.36 relation B → Eq (relation_restriction B A) (relation_rng_restriction A (relation_dom_restriction B A)))
% 120.95/121.36 False
% 120.95/121.36 Clause #34 (by clausification #[33]): ∀ (a : Iota),
% 120.95/121.36 Eq
% 120.95/121.36 (Not
% 120.95/121.36 (∀ (B : Iota),
% 120.95/121.36 relation B →
% 120.95/121.36 Eq (relation_restriction B (skS.0 0 a))
% 120.95/121.36 (relation_rng_restriction (skS.0 0 a) (relation_dom_restriction B (skS.0 0 a)))))
% 120.95/121.36 True
% 120.95/121.36 Clause #35 (by clausification #[34]): ∀ (a : Iota),
% 120.95/121.36 Eq
% 120.95/121.36 (∀ (B : Iota),
% 120.95/121.36 relation B →
% 120.95/121.36 Eq (relation_restriction B (skS.0 0 a))
% 120.95/121.36 (relation_rng_restriction (skS.0 0 a) (relation_dom_restriction B (skS.0 0 a))))
% 120.95/121.36 False
% 120.95/121.36 Clause #36 (by clausification #[35]): ∀ (a a_1 : Iota),
% 120.95/121.36 Eq
% 120.95/121.36 (Not
% 120.95/121.36 (relation (skS.0 1 a a_1) →
% 120.95/121.36 Eq (relation_restriction (skS.0 1 a a_1) (skS.0 0 a))
% 120.95/121.36 (relation_rng_restriction (skS.0 0 a) (relation_dom_restriction (skS.0 1 a a_1) (skS.0 0 a)))))
% 120.95/121.36 True
% 120.95/121.36 Clause #37 (by clausification #[36]): ∀ (a a_1 : Iota),
% 120.95/121.36 Eq
% 120.95/121.36 (relation (skS.0 1 a a_1) →
% 120.95/121.36 Eq (relation_restriction (skS.0 1 a a_1) (skS.0 0 a))
% 120.95/121.36 (relation_rng_restriction (skS.0 0 a) (relation_dom_restriction (skS.0 1 a a_1) (skS.0 0 a))))
% 120.95/121.36 False
% 120.95/121.36 Clause #38 (by clausification #[37]): ∀ (a a_1 : Iota), Eq (relation (skS.0 1 a a_1)) True
% 120.95/121.36 Clause #39 (by clausification #[37]): ∀ (a a_1 : Iota),
% 120.95/121.36 Eq
% 120.95/121.36 (Eq (relation_restriction (skS.0 1 a a_1) (skS.0 0 a))
% 120.95/121.36 (relation_rng_restriction (skS.0 0 a) (relation_dom_restriction (skS.0 1 a a_1) (skS.0 0 a))))
% 120.95/121.36 False
% 120.95/121.36 Clause #43 (by superposition #[38, 28]): ∀ (a a_1 a_2 : Iota),
% 120.95/121.36 Or (Eq True False)
% 120.95/121.36 (Eq (relation_restriction (skS.0 1 a a_1) a_2)
% 120.95/121.36 (relation_dom_restriction (relation_rng_restriction a_2 (skS.0 1 a a_1)) a_2))
% 120.95/121.36 Clause #57 (by clausification #[7]): ∀ (a : Iota),
% 120.95/121.36 Eq
% 120.95/121.36 (∀ (B C : Iota),
% 120.95/121.36 relation C →
% 120.95/121.36 Eq (relation_dom_restriction (relation_rng_restriction a C) B)
% 120.95/121.36 (relation_rng_restriction a (relation_dom_restriction C B)))
% 120.95/121.36 True
% 120.95/121.36 Clause #58 (by clausification #[57]): ∀ (a a_1 : Iota),
% 120.95/121.36 Eq
% 120.95/121.36 (∀ (C : Iota),
% 120.95/121.36 relation C →
% 120.95/121.36 Eq (relation_dom_restriction (relation_rng_restriction a C) a_1)
% 120.95/121.36 (relation_rng_restriction a (relation_dom_restriction C a_1)))
% 120.95/121.36 True
% 120.95/121.36 Clause #59 (by clausification #[58]): ∀ (a a_1 a_2 : Iota),
% 120.95/121.36 Eq
% 120.95/121.36 (relation a →
% 120.95/121.36 Eq (relation_dom_restriction (relation_rng_restriction a_1 a) a_2)
% 120.95/121.36 (relation_rng_restriction a_1 (relation_dom_restriction a a_2)))
% 120.95/121.36 True
% 120.95/121.36 Clause #60 (by clausification #[59]): ∀ (a a_1 a_2 : Iota),
% 120.95/121.36 Or (Eq (relation a) False)
% 120.95/121.36 (Eq
% 120.95/121.36 (Eq (relation_dom_restriction (relation_rng_restriction a_1 a) a_2)
% 120.95/121.40 (relation_rng_restriction a_1 (relation_dom_restriction a a_2)))
% 120.95/121.40 True)
% 120.95/121.40 Clause #61 (by clausification #[60]): ∀ (a a_1 a_2 : Iota),
% 120.95/121.40 Or (Eq (relation a) False)
% 120.95/121.40 (Eq (relation_dom_restriction (relation_rng_restriction a_1 a) a_2)
% 120.95/121.40 (relation_rng_restriction a_1 (relation_dom_restriction a a_2)))
% 120.95/121.40 Clause #62 (by superposition #[61, 38]): ∀ (a a_1 a_2 a_3 : Iota),
% 120.95/121.40 Or
% 120.95/121.40 (Eq (relation_dom_restriction (relation_rng_restriction a (skS.0 1 a_1 a_2)) a_3)
% 120.95/121.40 (relation_rng_restriction a (relation_dom_restriction (skS.0 1 a_1 a_2) a_3)))
% 120.95/121.40 (Eq False True)
% 120.95/121.40 Clause #100 (by clausification #[39]): ∀ (a a_1 : Iota),
% 120.95/121.40 Ne (relation_restriction (skS.0 1 a a_1) (skS.0 0 a))
% 120.95/121.40 (relation_rng_restriction (skS.0 0 a) (relation_dom_restriction (skS.0 1 a a_1) (skS.0 0 a)))
% 120.95/121.40 Clause #136 (by clausification #[43]): ∀ (a a_1 a_2 : Iota),
% 120.95/121.40 Eq (relation_restriction (skS.0 1 a a_1) a_2)
% 120.95/121.40 (relation_dom_restriction (relation_rng_restriction a_2 (skS.0 1 a a_1)) a_2)
% 120.95/121.40 Clause #358 (by clausification #[62]): ∀ (a a_1 a_2 a_3 : Iota),
% 120.95/121.40 Eq (relation_dom_restriction (relation_rng_restriction a (skS.0 1 a_1 a_2)) a_3)
% 120.95/121.40 (relation_rng_restriction a (relation_dom_restriction (skS.0 1 a_1 a_2) a_3))
% 120.95/121.40 Clause #359 (by backward demodulation #[358, 100]): ∀ (a a_1 : Iota),
% 120.95/121.40 Ne (relation_restriction (skS.0 1 a a_1) (skS.0 0 a))
% 120.95/121.40 (relation_dom_restriction (relation_rng_restriction (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 0 a))
% 120.95/121.40 Clause #4587 (by forward demodulation #[359, 136]): ∀ (a a_1 : Iota),
% 120.95/121.40 Ne (relation_restriction (skS.0 1 a a_1) (skS.0 0 a)) (relation_restriction (skS.0 1 a a_1) (skS.0 0 a))
% 120.95/121.40 Clause #4588 (by eliminate resolved literals #[4587]): False
% 120.95/121.40 SZS output end Proof for theBenchmark.p
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