TSTP Solution File: SET585+3 by Duper---1.0
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% File : Duper---1.0
% Problem : SET585+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n006.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 14:46:54 EDT 2023
% Result : Theorem 3.75s 3.93s
% Output : Proof 3.75s
% 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 : SET585+3 : TPTP v8.1.2. Released v2.2.0.
% 0.14/0.13 % Command : duper %s
% 0.14/0.34 % Computer : n006.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Aug 26 12:28:22 EDT 2023
% 0.14/0.35 % CPUTime :
% 3.75/3.93 SZS status Theorem for theBenchmark.p
% 3.75/3.93 SZS output start Proof for theBenchmark.p
% 3.75/3.93 Clause #0 (by assumption #[]): Eq (∀ (B C D : Iota), And (subset B C) (subset C D) → subset B D) True
% 3.75/3.93 Clause #1 (by assumption #[]): Eq (∀ (B C : Iota), subset B (union B C)) True
% 3.75/3.93 Clause #2 (by assumption #[]): Eq (∀ (B C : Iota), subset (intersection B C) B) True
% 3.75/3.93 Clause #7 (by assumption #[]): Eq (∀ (B C : Iota), Eq (intersection B C) (intersection C B)) True
% 3.75/3.93 Clause #10 (by assumption #[]): Eq (Not (∀ (B C D : Iota), subset (intersection B C) (union B D))) True
% 3.75/3.93 Clause #12 (by clausification #[2]): ∀ (a : Iota), Eq (∀ (C : Iota), subset (intersection a C) a) True
% 3.75/3.93 Clause #13 (by clausification #[12]): ∀ (a a_1 : Iota), Eq (subset (intersection a a_1) a) True
% 3.75/3.93 Clause #14 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (C : Iota), subset a (union a C)) True
% 3.75/3.93 Clause #15 (by clausification #[14]): ∀ (a a_1 : Iota), Eq (subset a (union a a_1)) True
% 3.75/3.93 Clause #16 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (C D : Iota), And (subset a C) (subset C D) → subset a D) True
% 3.75/3.93 Clause #17 (by clausification #[16]): ∀ (a a_1 : Iota), Eq (∀ (D : Iota), And (subset a a_1) (subset a_1 D) → subset a D) True
% 3.75/3.93 Clause #18 (by clausification #[17]): ∀ (a a_1 a_2 : Iota), Eq (And (subset a a_1) (subset a_1 a_2) → subset a a_2) True
% 3.75/3.93 Clause #19 (by clausification #[18]): ∀ (a a_1 a_2 : Iota), Or (Eq (And (subset a a_1) (subset a_1 a_2)) False) (Eq (subset a a_2) True)
% 3.75/3.93 Clause #20 (by clausification #[19]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) True) (Or (Eq (subset a a_2) False) (Eq (subset a_2 a_1) False))
% 3.75/3.93 Clause #32 (by clausification #[7]): ∀ (a : Iota), Eq (∀ (C : Iota), Eq (intersection a C) (intersection C a)) True
% 3.75/3.93 Clause #33 (by clausification #[32]): ∀ (a a_1 : Iota), Eq (Eq (intersection a a_1) (intersection a_1 a)) True
% 3.75/3.93 Clause #34 (by clausification #[33]): ∀ (a a_1 : Iota), Eq (intersection a a_1) (intersection a_1 a)
% 3.75/3.93 Clause #35 (by superposition #[34, 13]): ∀ (a a_1 : Iota), Eq (subset (intersection a a_1) a_1) True
% 3.75/3.93 Clause #36 (by superposition #[35, 20]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset (intersection a a_1) a_2) True) (Or (Eq True False) (Eq (subset a_1 a_2) False))
% 3.75/3.93 Clause #48 (by clausification #[36]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset (intersection a a_1) a_2) True) (Eq (subset a_1 a_2) False)
% 3.75/3.93 Clause #49 (by superposition #[48, 15]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset (intersection a a_1) (union a_1 a_2)) True) (Eq False True)
% 3.75/3.93 Clause #89 (by clausification #[49]): ∀ (a a_1 a_2 : Iota), Eq (subset (intersection a a_1) (union a_1 a_2)) True
% 3.75/3.93 Clause #94 (by superposition #[89, 34]): ∀ (a a_1 a_2 : Iota), Eq (subset (intersection a a_1) (union a a_2)) True
% 3.75/3.93 Clause #119 (by clausification #[10]): Eq (∀ (B C D : Iota), subset (intersection B C) (union B D)) False
% 3.75/3.93 Clause #120 (by clausification #[119]): ∀ (a : Iota), Eq (Not (∀ (C D : Iota), subset (intersection (skS.0 2 a) C) (union (skS.0 2 a) D))) True
% 3.75/3.93 Clause #121 (by clausification #[120]): ∀ (a : Iota), Eq (∀ (C D : Iota), subset (intersection (skS.0 2 a) C) (union (skS.0 2 a) D)) False
% 3.75/3.93 Clause #122 (by clausification #[121]): ∀ (a a_1 : Iota), Eq (Not (∀ (D : Iota), subset (intersection (skS.0 2 a) (skS.0 3 a a_1)) (union (skS.0 2 a) D))) True
% 3.75/3.93 Clause #123 (by clausification #[122]): ∀ (a a_1 : Iota), Eq (∀ (D : Iota), subset (intersection (skS.0 2 a) (skS.0 3 a a_1)) (union (skS.0 2 a) D)) False
% 3.75/3.93 Clause #124 (by clausification #[123]): ∀ (a a_1 a_2 : Iota),
% 3.75/3.93 Eq (Not (subset (intersection (skS.0 2 a) (skS.0 3 a a_1)) (union (skS.0 2 a) (skS.0 4 a a_1 a_2)))) True
% 3.75/3.93 Clause #125 (by clausification #[124]): ∀ (a a_1 a_2 : Iota),
% 3.75/3.93 Eq (subset (intersection (skS.0 2 a) (skS.0 3 a a_1)) (union (skS.0 2 a) (skS.0 4 a a_1 a_2))) False
% 3.75/3.93 Clause #126 (by superposition #[125, 94]): Eq False True
% 3.75/3.93 Clause #127 (by clausification #[126]): False
% 3.75/3.93 SZS output end Proof for theBenchmark.p
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