TSTP Solution File: SET910+1 by Duper---1.0
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% File : Duper---1.0
% Problem : SET910+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n012.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 14:48:00 EDT 2023
% Result : Theorem 3.77s 3.96s
% Output : Proof 3.77s
% 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 : SET910+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : duper %s
% 0.16/0.34 % Computer : n012.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Sat Aug 26 14:48:40 EDT 2023
% 0.16/0.35 % CPUTime :
% 3.77/3.96 SZS status Theorem for theBenchmark.p
% 3.77/3.96 SZS output start Proof for theBenchmark.p
% 3.77/3.96 Clause #5 (by assumption #[]): Eq (Not (∀ (A B : Iota), Eq (set_intersection2 A (singleton B)) (singleton B) → in B A)) True
% 3.77/3.96 Clause #6 (by assumption #[]): Eq (∀ (A B : Iota), Eq (set_intersection2 A (singleton B)) (singleton B) → in B A) True
% 3.77/3.96 Clause #9 (by clausification #[6]): ∀ (a : Iota), Eq (∀ (B : Iota), Eq (set_intersection2 a (singleton B)) (singleton B) → in B a) True
% 3.77/3.96 Clause #10 (by clausification #[9]): ∀ (a a_1 : Iota), Eq (Eq (set_intersection2 a (singleton a_1)) (singleton a_1) → in a_1 a) True
% 3.77/3.96 Clause #11 (by clausification #[10]): ∀ (a a_1 : Iota), Or (Eq (Eq (set_intersection2 a (singleton a_1)) (singleton a_1)) False) (Eq (in a_1 a) True)
% 3.77/3.96 Clause #12 (by clausification #[11]): ∀ (a a_1 : Iota), Or (Eq (in a a_1) True) (Ne (set_intersection2 a_1 (singleton a)) (singleton a))
% 3.77/3.96 Clause #15 (by clausification #[5]): Eq (∀ (A B : Iota), Eq (set_intersection2 A (singleton B)) (singleton B) → in B A) False
% 3.77/3.96 Clause #16 (by clausification #[15]): ∀ (a : Iota),
% 3.77/3.96 Eq (Not (∀ (B : Iota), Eq (set_intersection2 (skS.0 2 a) (singleton B)) (singleton B) → in B (skS.0 2 a))) True
% 3.77/3.96 Clause #17 (by clausification #[16]): ∀ (a : Iota), Eq (∀ (B : Iota), Eq (set_intersection2 (skS.0 2 a) (singleton B)) (singleton B) → in B (skS.0 2 a)) False
% 3.77/3.96 Clause #18 (by clausification #[17]): ∀ (a a_1 : Iota),
% 3.77/3.96 Eq
% 3.77/3.96 (Not
% 3.77/3.96 (Eq (set_intersection2 (skS.0 2 a) (singleton (skS.0 3 a a_1))) (singleton (skS.0 3 a a_1)) →
% 3.77/3.96 in (skS.0 3 a a_1) (skS.0 2 a)))
% 3.77/3.96 True
% 3.77/3.96 Clause #19 (by clausification #[18]): ∀ (a a_1 : Iota),
% 3.77/3.96 Eq
% 3.77/3.96 (Eq (set_intersection2 (skS.0 2 a) (singleton (skS.0 3 a a_1))) (singleton (skS.0 3 a a_1)) →
% 3.77/3.96 in (skS.0 3 a a_1) (skS.0 2 a))
% 3.77/3.96 False
% 3.77/3.96 Clause #20 (by clausification #[19]): ∀ (a a_1 : Iota), Eq (Eq (set_intersection2 (skS.0 2 a) (singleton (skS.0 3 a a_1))) (singleton (skS.0 3 a a_1))) True
% 3.77/3.96 Clause #21 (by clausification #[19]): ∀ (a a_1 : Iota), Eq (in (skS.0 3 a a_1) (skS.0 2 a)) False
% 3.77/3.96 Clause #22 (by clausification #[20]): ∀ (a a_1 : Iota), Eq (set_intersection2 (skS.0 2 a) (singleton (skS.0 3 a a_1))) (singleton (skS.0 3 a a_1))
% 3.77/3.96 Clause #23 (by superposition #[22, 12]): ∀ (a a_1 : Iota),
% 3.77/3.96 Or (Eq (in (skS.0 3 a a_1) (skS.0 2 a)) True) (Ne (singleton (skS.0 3 a a_1)) (singleton (skS.0 3 a a_1)))
% 3.77/3.96 Clause #39 (by eliminate resolved literals #[23]): ∀ (a a_1 : Iota), Eq (in (skS.0 3 a a_1) (skS.0 2 a)) True
% 3.77/3.96 Clause #40 (by superposition #[39, 21]): Eq True False
% 3.77/3.96 Clause #42 (by clausification #[40]): False
% 3.77/3.96 SZS output end Proof for theBenchmark.p
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