TSTP Solution File: SET891+1 by Duper---1.0
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% File : Duper---1.0
% Problem : SET891+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n007.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 14:47:57 EDT 2023
% Result : Theorem 3.55s 3.75s
% Output : Proof 3.55s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET891+1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n007.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 12:44:26 EDT 2023
% 0.14/0.35 % CPUTime :
% 3.55/3.75 SZS status Theorem for theBenchmark.p
% 3.55/3.75 SZS output start Proof for theBenchmark.p
% 3.55/3.75 Clause #5 (by assumption #[]): Eq (∀ (A B : Iota), Eq (union (unordered_pair A B)) (set_union2 A B)) True
% 3.55/3.75 Clause #8 (by assumption #[]): Eq (Not (∀ (A B : Iota), Eq (union (unordered_pair (singleton A) (singleton B))) (unordered_pair A B))) True
% 3.55/3.75 Clause #9 (by assumption #[]): Eq (∀ (A B : Iota), Eq (unordered_pair A B) (set_union2 (singleton A) (singleton B))) True
% 3.55/3.75 Clause #34 (by clausification #[5]): ∀ (a : Iota), Eq (∀ (B : Iota), Eq (union (unordered_pair a B)) (set_union2 a B)) True
% 3.55/3.75 Clause #35 (by clausification #[34]): ∀ (a a_1 : Iota), Eq (Eq (union (unordered_pair a a_1)) (set_union2 a a_1)) True
% 3.55/3.75 Clause #36 (by clausification #[35]): ∀ (a a_1 : Iota), Eq (union (unordered_pair a a_1)) (set_union2 a a_1)
% 3.55/3.75 Clause #38 (by clausification #[9]): ∀ (a : Iota), Eq (∀ (B : Iota), Eq (unordered_pair a B) (set_union2 (singleton a) (singleton B))) True
% 3.55/3.75 Clause #39 (by clausification #[38]): ∀ (a a_1 : Iota), Eq (Eq (unordered_pair a a_1) (set_union2 (singleton a) (singleton a_1))) True
% 3.55/3.75 Clause #40 (by clausification #[39]): ∀ (a a_1 : Iota), Eq (unordered_pair a a_1) (set_union2 (singleton a) (singleton a_1))
% 3.55/3.75 Clause #46 (by clausification #[8]): Eq (∀ (A B : Iota), Eq (union (unordered_pair (singleton A) (singleton B))) (unordered_pair A B)) False
% 3.55/3.75 Clause #47 (by clausification #[46]): ∀ (a : Iota),
% 3.55/3.75 Eq
% 3.55/3.75 (Not
% 3.55/3.75 (∀ (B : Iota), Eq (union (unordered_pair (singleton (skS.0 2 a)) (singleton B))) (unordered_pair (skS.0 2 a) B)))
% 3.55/3.75 True
% 3.55/3.75 Clause #48 (by clausification #[47]): ∀ (a : Iota),
% 3.55/3.75 Eq (∀ (B : Iota), Eq (union (unordered_pair (singleton (skS.0 2 a)) (singleton B))) (unordered_pair (skS.0 2 a) B))
% 3.55/3.75 False
% 3.55/3.75 Clause #49 (by clausification #[48]): ∀ (a a_1 : Iota),
% 3.55/3.75 Eq
% 3.55/3.75 (Not
% 3.55/3.75 (Eq (union (unordered_pair (singleton (skS.0 2 a)) (singleton (skS.0 3 a a_1))))
% 3.55/3.75 (unordered_pair (skS.0 2 a) (skS.0 3 a a_1))))
% 3.55/3.75 True
% 3.55/3.75 Clause #50 (by clausification #[49]): ∀ (a a_1 : Iota),
% 3.55/3.75 Eq
% 3.55/3.75 (Eq (union (unordered_pair (singleton (skS.0 2 a)) (singleton (skS.0 3 a a_1))))
% 3.55/3.75 (unordered_pair (skS.0 2 a) (skS.0 3 a a_1)))
% 3.55/3.75 False
% 3.55/3.75 Clause #51 (by clausification #[50]): ∀ (a a_1 : Iota),
% 3.55/3.75 Ne (union (unordered_pair (singleton (skS.0 2 a)) (singleton (skS.0 3 a a_1))))
% 3.55/3.75 (unordered_pair (skS.0 2 a) (skS.0 3 a a_1))
% 3.55/3.75 Clause #52 (by forward demodulation #[51, 36]): ∀ (a a_1 : Iota),
% 3.55/3.75 Ne (set_union2 (singleton (skS.0 2 a)) (singleton (skS.0 3 a a_1))) (unordered_pair (skS.0 2 a) (skS.0 3 a a_1))
% 3.55/3.75 Clause #53 (by forward demodulation #[52, 40]): ∀ (a a_1 : Iota), Ne (unordered_pair (skS.0 2 a) (skS.0 3 a a_1)) (unordered_pair (skS.0 2 a) (skS.0 3 a a_1))
% 3.55/3.75 Clause #54 (by eliminate resolved literals #[53]): False
% 3.55/3.75 SZS output end Proof for theBenchmark.p
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