TSTP Solution File: SET899+1 by Duper---1.0
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- Process Solution
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% File : Duper---1.0
% Problem : SET899+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n031.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 14:47:58 EDT 2023
% Result : Theorem 3.62s 3.82s
% Output : Proof 3.62s
% 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 : SET899+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : duper %s
% 0.15/0.35 % Computer : n031.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat Aug 26 10:09:08 EDT 2023
% 0.15/0.35 % CPUTime :
% 3.62/3.82 SZS status Theorem for theBenchmark.p
% 3.62/3.82 SZS output start Proof for theBenchmark.p
% 3.62/3.82 Clause #4 (by assumption #[]): Eq (Not (∀ (A B C : Iota), subset A B → Or (in C A) (subset A (set_difference B (singleton C))))) True
% 3.62/3.82 Clause #5 (by assumption #[]): Eq (∀ (A B C : Iota), subset A B → Or (in C A) (subset A (set_difference B (singleton C)))) True
% 3.62/3.82 Clause #16 (by clausification #[5]): ∀ (a : Iota), Eq (∀ (B C : Iota), subset a B → Or (in C a) (subset a (set_difference B (singleton C)))) True
% 3.62/3.82 Clause #17 (by clausification #[16]): ∀ (a a_1 : Iota), Eq (∀ (C : Iota), subset a a_1 → Or (in C a) (subset a (set_difference a_1 (singleton C)))) True
% 3.62/3.82 Clause #18 (by clausification #[17]): ∀ (a a_1 a_2 : Iota), Eq (subset a a_1 → Or (in a_2 a) (subset a (set_difference a_1 (singleton a_2)))) True
% 3.62/3.82 Clause #19 (by clausification #[18]): ∀ (a a_1 a_2 : Iota),
% 3.62/3.82 Or (Eq (subset a a_1) False) (Eq (Or (in a_2 a) (subset a (set_difference a_1 (singleton a_2)))) True)
% 3.62/3.82 Clause #20 (by clausification #[19]): ∀ (a a_1 a_2 : Iota),
% 3.62/3.82 Or (Eq (subset a a_1) False) (Or (Eq (in a_2 a) True) (Eq (subset a (set_difference a_1 (singleton a_2))) True))
% 3.62/3.82 Clause #22 (by clausification #[4]): Eq (∀ (A B C : Iota), subset A B → Or (in C A) (subset A (set_difference B (singleton C)))) False
% 3.62/3.82 Clause #23 (by clausification #[22]): ∀ (a : Iota),
% 3.62/3.82 Eq
% 3.62/3.82 (Not
% 3.62/3.82 (∀ (B C : Iota),
% 3.62/3.82 subset (skS.0 2 a) B → Or (in C (skS.0 2 a)) (subset (skS.0 2 a) (set_difference B (singleton C)))))
% 3.62/3.82 True
% 3.62/3.82 Clause #24 (by clausification #[23]): ∀ (a : Iota),
% 3.62/3.82 Eq
% 3.62/3.82 (∀ (B C : Iota), subset (skS.0 2 a) B → Or (in C (skS.0 2 a)) (subset (skS.0 2 a) (set_difference B (singleton C))))
% 3.62/3.82 False
% 3.62/3.82 Clause #25 (by clausification #[24]): ∀ (a a_1 : Iota),
% 3.62/3.82 Eq
% 3.62/3.82 (Not
% 3.62/3.82 (∀ (C : Iota),
% 3.62/3.82 subset (skS.0 2 a) (skS.0 3 a a_1) →
% 3.62/3.82 Or (in C (skS.0 2 a)) (subset (skS.0 2 a) (set_difference (skS.0 3 a a_1) (singleton C)))))
% 3.62/3.82 True
% 3.62/3.82 Clause #26 (by clausification #[25]): ∀ (a a_1 : Iota),
% 3.62/3.82 Eq
% 3.62/3.82 (∀ (C : Iota),
% 3.62/3.82 subset (skS.0 2 a) (skS.0 3 a a_1) →
% 3.62/3.82 Or (in C (skS.0 2 a)) (subset (skS.0 2 a) (set_difference (skS.0 3 a a_1) (singleton C))))
% 3.62/3.82 False
% 3.62/3.82 Clause #27 (by clausification #[26]): ∀ (a a_1 a_2 : Iota),
% 3.62/3.82 Eq
% 3.62/3.82 (Not
% 3.62/3.82 (subset (skS.0 2 a) (skS.0 3 a a_1) →
% 3.62/3.82 Or (in (skS.0 4 a a_1 a_2) (skS.0 2 a))
% 3.62/3.82 (subset (skS.0 2 a) (set_difference (skS.0 3 a a_1) (singleton (skS.0 4 a a_1 a_2))))))
% 3.62/3.82 True
% 3.62/3.82 Clause #28 (by clausification #[27]): ∀ (a a_1 a_2 : Iota),
% 3.62/3.82 Eq
% 3.62/3.82 (subset (skS.0 2 a) (skS.0 3 a a_1) →
% 3.62/3.82 Or (in (skS.0 4 a a_1 a_2) (skS.0 2 a))
% 3.62/3.82 (subset (skS.0 2 a) (set_difference (skS.0 3 a a_1) (singleton (skS.0 4 a a_1 a_2)))))
% 3.62/3.82 False
% 3.62/3.82 Clause #29 (by clausification #[28]): ∀ (a a_1 : Iota), Eq (subset (skS.0 2 a) (skS.0 3 a a_1)) True
% 3.62/3.82 Clause #30 (by clausification #[28]): ∀ (a a_1 a_2 : Iota),
% 3.62/3.82 Eq
% 3.62/3.82 (Or (in (skS.0 4 a a_1 a_2) (skS.0 2 a))
% 3.62/3.82 (subset (skS.0 2 a) (set_difference (skS.0 3 a a_1) (singleton (skS.0 4 a a_1 a_2)))))
% 3.62/3.82 False
% 3.62/3.82 Clause #31 (by superposition #[29, 20]): ∀ (a a_1 a_2 : Iota),
% 3.62/3.82 Or (Eq True False)
% 3.62/3.82 (Or (Eq (in a (skS.0 2 a_1)) True)
% 3.62/3.82 (Eq (subset (skS.0 2 a_1) (set_difference (skS.0 3 a_1 a_2) (singleton a))) True))
% 3.62/3.82 Clause #38 (by clausification #[31]): ∀ (a a_1 a_2 : Iota),
% 3.62/3.82 Or (Eq (in a (skS.0 2 a_1)) True) (Eq (subset (skS.0 2 a_1) (set_difference (skS.0 3 a_1 a_2) (singleton a))) True)
% 3.62/3.82 Clause #42 (by clausification #[30]): ∀ (a a_1 a_2 : Iota), Eq (subset (skS.0 2 a) (set_difference (skS.0 3 a a_1) (singleton (skS.0 4 a a_1 a_2)))) False
% 3.62/3.82 Clause #43 (by clausification #[30]): ∀ (a a_1 a_2 : Iota), Eq (in (skS.0 4 a a_1 a_2) (skS.0 2 a)) False
% 3.62/3.82 Clause #44 (by superposition #[42, 38]): ∀ (a a_1 a_2 : Iota), Or (Eq (in (skS.0 4 a a_1 a_2) (skS.0 2 a)) True) (Eq False True)
% 3.62/3.82 Clause #45 (by clausification #[44]): ∀ (a a_1 a_2 : Iota), Eq (in (skS.0 4 a a_1 a_2) (skS.0 2 a)) True
% 3.62/3.82 Clause #46 (by superposition #[45, 43]): Eq True False
% 3.62/3.82 Clause #48 (by clausification #[46]): False
% 3.62/3.82 SZS output end Proof for theBenchmark.p
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