TSTP Solution File: SET620+3 by Duper---1.0
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- Process Solution
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% File : Duper---1.0
% Problem : SET620+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n026.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 14:47:07 EDT 2023
% Result : Theorem 4.41s 4.62s
% Output : Proof 4.41s
% 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 : SET620+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.14 % Command : duper %s
% 0.15/0.35 % Computer : n026.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 15:55:03 EDT 2023
% 0.15/0.35 % CPUTime :
% 4.41/4.62 SZS status Theorem for theBenchmark.p
% 4.41/4.62 SZS output start Proof for theBenchmark.p
% 4.41/4.62 Clause #0 (by assumption #[]): Eq (∀ (B C : Iota), Eq (symmetric_difference B C) (union (difference B C) (difference C B))) True
% 4.41/4.62 Clause #1 (by assumption #[]): Eq (∀ (B C : Iota), Eq (difference B (intersection B C)) (difference B C)) True
% 4.41/4.62 Clause #2 (by assumption #[]): Eq (∀ (B C D : Iota), Eq (difference (union B C) D) (union (difference B D) (difference C D))) True
% 4.41/4.62 Clause #7 (by assumption #[]): Eq (∀ (B C : Iota), Eq (union B C) (union C B)) True
% 4.41/4.62 Clause #8 (by assumption #[]): Eq (∀ (B C : Iota), Eq (intersection B C) (intersection C B)) True
% 4.41/4.62 Clause #13 (by assumption #[]): Eq (Not (∀ (B C : Iota), Eq (symmetric_difference B C) (difference (union B C) (intersection B C)))) True
% 4.41/4.62 Clause #18 (by clausification #[8]): ∀ (a : Iota), Eq (∀ (C : Iota), Eq (intersection a C) (intersection C a)) True
% 4.41/4.62 Clause #19 (by clausification #[18]): ∀ (a a_1 : Iota), Eq (Eq (intersection a a_1) (intersection a_1 a)) True
% 4.41/4.62 Clause #20 (by clausification #[19]): ∀ (a a_1 : Iota), Eq (intersection a a_1) (intersection a_1 a)
% 4.41/4.62 Clause #21 (by clausification #[7]): ∀ (a : Iota), Eq (∀ (C : Iota), Eq (union a C) (union C a)) True
% 4.41/4.62 Clause #22 (by clausification #[21]): ∀ (a a_1 : Iota), Eq (Eq (union a a_1) (union a_1 a)) True
% 4.41/4.62 Clause #23 (by clausification #[22]): ∀ (a a_1 : Iota), Eq (union a a_1) (union a_1 a)
% 4.41/4.62 Clause #32 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (C : Iota), Eq (symmetric_difference a C) (union (difference a C) (difference C a))) True
% 4.41/4.62 Clause #33 (by clausification #[32]): ∀ (a a_1 : Iota), Eq (Eq (symmetric_difference a a_1) (union (difference a a_1) (difference a_1 a))) True
% 4.41/4.62 Clause #34 (by clausification #[33]): ∀ (a a_1 : Iota), Eq (symmetric_difference a a_1) (union (difference a a_1) (difference a_1 a))
% 4.41/4.62 Clause #36 (by superposition #[34, 23]): ∀ (a a_1 : Iota), Eq (union (difference a a_1) (difference a_1 a)) (symmetric_difference a_1 a)
% 4.41/4.62 Clause #42 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (C : Iota), Eq (difference a (intersection a C)) (difference a C)) True
% 4.41/4.62 Clause #43 (by clausification #[42]): ∀ (a a_1 : Iota), Eq (Eq (difference a (intersection a a_1)) (difference a a_1)) True
% 4.41/4.62 Clause #44 (by clausification #[43]): ∀ (a a_1 : Iota), Eq (difference a (intersection a a_1)) (difference a a_1)
% 4.41/4.62 Clause #49 (by superposition #[44, 20]): ∀ (a a_1 : Iota), Eq (difference a (intersection a_1 a)) (difference a a_1)
% 4.41/4.62 Clause #66 (by clausification #[2]): ∀ (a : Iota), Eq (∀ (C D : Iota), Eq (difference (union a C) D) (union (difference a D) (difference C D))) True
% 4.41/4.62 Clause #67 (by clausification #[66]): ∀ (a a_1 : Iota), Eq (∀ (D : Iota), Eq (difference (union a a_1) D) (union (difference a D) (difference a_1 D))) True
% 4.41/4.62 Clause #68 (by clausification #[67]): ∀ (a a_1 a_2 : Iota), Eq (Eq (difference (union a a_1) a_2) (union (difference a a_2) (difference a_1 a_2))) True
% 4.41/4.62 Clause #69 (by clausification #[68]): ∀ (a a_1 a_2 : Iota), Eq (difference (union a a_1) a_2) (union (difference a a_2) (difference a_1 a_2))
% 4.41/4.62 Clause #76 (by superposition #[69, 23]): ∀ (a a_1 a_2 : Iota), Eq (union (difference a a_1) (difference a_2 a_1)) (difference (union a_2 a) a_1)
% 4.41/4.62 Clause #111 (by superposition #[76, 49]): ∀ (a a_1 a_2 : Iota),
% 4.41/4.62 Eq (union (difference a a_1) (difference a_2 (intersection a_1 a))) (difference (union a_2 a) (intersection a_1 a))
% 4.41/4.62 Clause #182 (by clausification #[13]): Eq (∀ (B C : Iota), Eq (symmetric_difference B C) (difference (union B C) (intersection B C))) False
% 4.41/4.62 Clause #183 (by clausification #[182]): ∀ (a : Iota),
% 4.41/4.62 Eq
% 4.41/4.62 (Not
% 4.41/4.62 (∀ (C : Iota),
% 4.41/4.62 Eq (symmetric_difference (skS.0 2 a) C) (difference (union (skS.0 2 a) C) (intersection (skS.0 2 a) C))))
% 4.41/4.62 True
% 4.41/4.62 Clause #184 (by clausification #[183]): ∀ (a : Iota),
% 4.41/4.62 Eq
% 4.41/4.62 (∀ (C : Iota),
% 4.41/4.62 Eq (symmetric_difference (skS.0 2 a) C) (difference (union (skS.0 2 a) C) (intersection (skS.0 2 a) C)))
% 4.41/4.62 False
% 4.41/4.62 Clause #185 (by clausification #[184]): ∀ (a a_1 : Iota),
% 4.41/4.62 Eq
% 4.41/4.62 (Not
% 4.41/4.62 (Eq (symmetric_difference (skS.0 2 a) (skS.0 3 a a_1))
% 4.41/4.62 (difference (union (skS.0 2 a) (skS.0 3 a a_1)) (intersection (skS.0 2 a) (skS.0 3 a a_1)))))
% 4.41/4.62 True
% 4.41/4.62 Clause #186 (by clausification #[185]): ∀ (a a_1 : Iota),
% 4.41/4.62 Eq
% 4.41/4.62 (Eq (symmetric_difference (skS.0 2 a) (skS.0 3 a a_1))
% 4.41/4.62 (difference (union (skS.0 2 a) (skS.0 3 a a_1)) (intersection (skS.0 2 a) (skS.0 3 a a_1))))
% 4.41/4.62 False
% 4.41/4.62 Clause #187 (by clausification #[186]): ∀ (a a_1 : Iota),
% 4.41/4.62 Ne (symmetric_difference (skS.0 2 a) (skS.0 3 a a_1))
% 4.41/4.62 (difference (union (skS.0 2 a) (skS.0 3 a a_1)) (intersection (skS.0 2 a) (skS.0 3 a a_1)))
% 4.41/4.62 Clause #280 (by superposition #[111, 44]): ∀ (a a_1 : Iota), Eq (union (difference a a_1) (difference a_1 a)) (difference (union a_1 a) (intersection a_1 a))
% 4.41/4.62 Clause #456 (by superposition #[280, 36]): ∀ (a a_1 : Iota), Eq (difference (union a a_1) (intersection a a_1)) (symmetric_difference a a_1)
% 4.41/4.62 Clause #485 (by backward contextual literal cutting #[456, 187]): False
% 4.41/4.62 SZS output end Proof for theBenchmark.p
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