TSTP Solution File: SET658+3 by Duper---1.0
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% File : Duper---1.0
% Problem : SET658+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n014.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 14:47:17 EDT 2023
% Result : Theorem 10.03s 10.26s
% Output : Proof 10.03s
% 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 : SET658+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 09:06:47 EDT 2023
% 0.14/0.35 % CPUTime :
% 10.03/10.26 SZS status Theorem for theBenchmark.p
% 10.03/10.26 SZS output start Proof for theBenchmark.p
% 10.03/10.26 Clause #0 (by assumption #[]): Eq
% 10.03/10.26 (∀ (B : Iota),
% 10.03/10.26 ilf_type B set_type →
% 10.03/10.26 ∀ (C : Iota),
% 10.03/10.26 ilf_type C binary_relation_type → subset (domain_of C) B → ilf_type C (relation_type B (range_of C)))
% 10.03/10.26 True
% 10.03/10.26 Clause #14 (by assumption #[]): Eq (∀ (B : Iota), ilf_type B set_type → subset B B) True
% 10.03/10.26 Clause #27 (by assumption #[]): Eq (∀ (B : Iota), ilf_type B set_type) True
% 10.03/10.26 Clause #28 (by assumption #[]): Eq (Not (∀ (B : Iota), ilf_type B binary_relation_type → ilf_type B (relation_type (domain_of B) (range_of B)))) True
% 10.03/10.26 Clause #29 (by clausification #[27]): ∀ (a : Iota), Eq (ilf_type a set_type) True
% 10.03/10.26 Clause #33 (by clausification #[14]): ∀ (a : Iota), Eq (ilf_type a set_type → subset a a) True
% 10.03/10.26 Clause #34 (by clausification #[33]): ∀ (a : Iota), Or (Eq (ilf_type a set_type) False) (Eq (subset a a) True)
% 10.03/10.26 Clause #35 (by forward demodulation #[34, 29]): ∀ (a : Iota), Or (Eq True False) (Eq (subset a a) True)
% 10.03/10.26 Clause #36 (by clausification #[35]): ∀ (a : Iota), Eq (subset a a) True
% 10.03/10.26 Clause #40 (by clausification #[0]): ∀ (a : Iota),
% 10.03/10.26 Eq
% 10.03/10.26 (ilf_type a set_type →
% 10.03/10.26 ∀ (C : Iota),
% 10.03/10.26 ilf_type C binary_relation_type → subset (domain_of C) a → ilf_type C (relation_type a (range_of C)))
% 10.03/10.26 True
% 10.03/10.26 Clause #41 (by clausification #[40]): ∀ (a : Iota),
% 10.03/10.26 Or (Eq (ilf_type a set_type) False)
% 10.03/10.26 (Eq
% 10.03/10.26 (∀ (C : Iota),
% 10.03/10.26 ilf_type C binary_relation_type → subset (domain_of C) a → ilf_type C (relation_type a (range_of C)))
% 10.03/10.26 True)
% 10.03/10.26 Clause #42 (by clausification #[41]): ∀ (a a_1 : Iota),
% 10.03/10.26 Or (Eq (ilf_type a set_type) False)
% 10.03/10.26 (Eq (ilf_type a_1 binary_relation_type → subset (domain_of a_1) a → ilf_type a_1 (relation_type a (range_of a_1)))
% 10.03/10.26 True)
% 10.03/10.26 Clause #43 (by clausification #[42]): ∀ (a a_1 : Iota),
% 10.03/10.26 Or (Eq (ilf_type a set_type) False)
% 10.03/10.26 (Or (Eq (ilf_type a_1 binary_relation_type) False)
% 10.03/10.26 (Eq (subset (domain_of a_1) a → ilf_type a_1 (relation_type a (range_of a_1))) True))
% 10.03/10.26 Clause #44 (by clausification #[43]): ∀ (a a_1 : Iota),
% 10.03/10.26 Or (Eq (ilf_type a set_type) False)
% 10.03/10.26 (Or (Eq (ilf_type a_1 binary_relation_type) False)
% 10.03/10.26 (Or (Eq (subset (domain_of a_1) a) False) (Eq (ilf_type a_1 (relation_type a (range_of a_1))) True)))
% 10.03/10.26 Clause #45 (by forward demodulation #[44, 29]): ∀ (a a_1 : Iota),
% 10.03/10.26 Or (Eq True False)
% 10.03/10.26 (Or (Eq (ilf_type a binary_relation_type) False)
% 10.03/10.26 (Or (Eq (subset (domain_of a) a_1) False) (Eq (ilf_type a (relation_type a_1 (range_of a))) True)))
% 10.03/10.26 Clause #46 (by clausification #[45]): ∀ (a a_1 : Iota),
% 10.03/10.26 Or (Eq (ilf_type a binary_relation_type) False)
% 10.03/10.26 (Or (Eq (subset (domain_of a) a_1) False) (Eq (ilf_type a (relation_type a_1 (range_of a))) True))
% 10.03/10.26 Clause #102 (by clausification #[28]): Eq (∀ (B : Iota), ilf_type B binary_relation_type → ilf_type B (relation_type (domain_of B) (range_of B))) False
% 10.03/10.26 Clause #103 (by clausification #[102]): ∀ (a : Iota),
% 10.03/10.26 Eq
% 10.03/10.26 (Not
% 10.03/10.26 (ilf_type (skS.0 3 a) binary_relation_type →
% 10.03/10.26 ilf_type (skS.0 3 a) (relation_type (domain_of (skS.0 3 a)) (range_of (skS.0 3 a)))))
% 10.03/10.26 True
% 10.03/10.26 Clause #104 (by clausification #[103]): ∀ (a : Iota),
% 10.03/10.26 Eq
% 10.03/10.26 (ilf_type (skS.0 3 a) binary_relation_type →
% 10.03/10.26 ilf_type (skS.0 3 a) (relation_type (domain_of (skS.0 3 a)) (range_of (skS.0 3 a))))
% 10.03/10.26 False
% 10.03/10.26 Clause #105 (by clausification #[104]): ∀ (a : Iota), Eq (ilf_type (skS.0 3 a) binary_relation_type) True
% 10.03/10.26 Clause #106 (by clausification #[104]): ∀ (a : Iota), Eq (ilf_type (skS.0 3 a) (relation_type (domain_of (skS.0 3 a)) (range_of (skS.0 3 a)))) False
% 10.03/10.26 Clause #107 (by superposition #[105, 46]): ∀ (a a_1 : Iota),
% 10.03/10.26 Or (Eq True False)
% 10.03/10.26 (Or (Eq (subset (domain_of (skS.0 3 a)) a_1) False)
% 10.03/10.26 (Eq (ilf_type (skS.0 3 a) (relation_type a_1 (range_of (skS.0 3 a)))) True))
% 10.03/10.26 Clause #393 (by clausification #[107]): ∀ (a a_1 : Iota),
% 10.03/10.26 Or (Eq (subset (domain_of (skS.0 3 a)) a_1) False)
% 10.03/10.26 (Eq (ilf_type (skS.0 3 a) (relation_type a_1 (range_of (skS.0 3 a)))) True)
% 10.03/10.26 Clause #394 (by superposition #[393, 36]): ∀ (a : Iota),
% 10.03/10.26 Or (Eq (ilf_type (skS.0 3 a) (relation_type (domain_of (skS.0 3 a)) (range_of (skS.0 3 a)))) True) (Eq False True)
% 10.03/10.26 Clause #1064 (by clausification #[394]): ∀ (a : Iota), Eq (ilf_type (skS.0 3 a) (relation_type (domain_of (skS.0 3 a)) (range_of (skS.0 3 a)))) True
% 10.03/10.26 Clause #1065 (by superposition #[1064, 106]): Eq True False
% 10.03/10.26 Clause #1071 (by clausification #[1065]): False
% 10.03/10.26 SZS output end Proof for theBenchmark.p
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