TSTP Solution File: SET639+3 by Duper---1.0
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% File : Duper---1.0
% Problem : SET639+3 : TPTP v8.1.2. Released v2.2.0.
% 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 14:47:13 EDT 2023
% Result : Theorem 3.88s 4.07s
% Output : Proof 3.88s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET639+3 : TPTP v8.1.2. Released v2.2.0.
% 0.12/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n031.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 09:38:38 EDT 2023
% 0.14/0.35 % CPUTime :
% 3.88/4.07 SZS status Theorem for theBenchmark.p
% 3.88/4.07 SZS output start Proof for theBenchmark.p
% 3.88/4.07 Clause #0 (by assumption #[]): Eq (∀ (B C : Iota), subset B C → Eq (intersection B C) B) True
% 3.88/4.07 Clause #5 (by assumption #[]): Eq (∀ (B C : Iota), Eq (intersection B C) (intersection C B)) True
% 3.88/4.07 Clause #9 (by assumption #[]): Eq (Not (∀ (B C : Iota), And (subset B C) (Eq (intersection C B) empty_set) → Eq B empty_set)) True
% 3.88/4.07 Clause #13 (by clausification #[9]): Eq (∀ (B C : Iota), And (subset B C) (Eq (intersection C B) empty_set) → Eq B empty_set) False
% 3.88/4.07 Clause #14 (by clausification #[13]): ∀ (a : Iota),
% 3.88/4.07 Eq
% 3.88/4.07 (Not
% 3.88/4.07 (∀ (C : Iota), And (subset (skS.0 0 a) C) (Eq (intersection C (skS.0 0 a)) empty_set) → Eq (skS.0 0 a) empty_set))
% 3.88/4.07 True
% 3.88/4.07 Clause #15 (by clausification #[14]): ∀ (a : Iota),
% 3.88/4.07 Eq (∀ (C : Iota), And (subset (skS.0 0 a) C) (Eq (intersection C (skS.0 0 a)) empty_set) → Eq (skS.0 0 a) empty_set)
% 3.88/4.07 False
% 3.88/4.07 Clause #16 (by clausification #[15]): ∀ (a a_1 : Iota),
% 3.88/4.07 Eq
% 3.88/4.07 (Not
% 3.88/4.07 (And (subset (skS.0 0 a) (skS.0 1 a a_1)) (Eq (intersection (skS.0 1 a a_1) (skS.0 0 a)) empty_set) →
% 3.88/4.07 Eq (skS.0 0 a) empty_set))
% 3.88/4.07 True
% 3.88/4.07 Clause #17 (by clausification #[16]): ∀ (a a_1 : Iota),
% 3.88/4.07 Eq
% 3.88/4.07 (And (subset (skS.0 0 a) (skS.0 1 a a_1)) (Eq (intersection (skS.0 1 a a_1) (skS.0 0 a)) empty_set) →
% 3.88/4.07 Eq (skS.0 0 a) empty_set)
% 3.88/4.07 False
% 3.88/4.07 Clause #18 (by clausification #[17]): ∀ (a a_1 : Iota),
% 3.88/4.07 Eq (And (subset (skS.0 0 a) (skS.0 1 a a_1)) (Eq (intersection (skS.0 1 a a_1) (skS.0 0 a)) empty_set)) True
% 3.88/4.07 Clause #19 (by clausification #[17]): ∀ (a : Iota), Eq (Eq (skS.0 0 a) empty_set) False
% 3.88/4.07 Clause #20 (by clausification #[18]): ∀ (a a_1 : Iota), Eq (Eq (intersection (skS.0 1 a a_1) (skS.0 0 a)) empty_set) True
% 3.88/4.07 Clause #21 (by clausification #[18]): ∀ (a a_1 : Iota), Eq (subset (skS.0 0 a) (skS.0 1 a a_1)) True
% 3.88/4.07 Clause #22 (by clausification #[20]): ∀ (a a_1 : Iota), Eq (intersection (skS.0 1 a a_1) (skS.0 0 a)) empty_set
% 3.88/4.07 Clause #23 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (C : Iota), subset a C → Eq (intersection a C) a) True
% 3.88/4.07 Clause #24 (by clausification #[23]): ∀ (a a_1 : Iota), Eq (subset a a_1 → Eq (intersection a a_1) a) True
% 3.88/4.07 Clause #25 (by clausification #[24]): ∀ (a a_1 : Iota), Or (Eq (subset a a_1) False) (Eq (Eq (intersection a a_1) a) True)
% 3.88/4.07 Clause #26 (by clausification #[25]): ∀ (a a_1 : Iota), Or (Eq (subset a a_1) False) (Eq (intersection a a_1) a)
% 3.88/4.07 Clause #47 (by clausification #[19]): ∀ (a : Iota), Ne (skS.0 0 a) empty_set
% 3.88/4.07 Clause #79 (by clausification #[5]): ∀ (a : Iota), Eq (∀ (C : Iota), Eq (intersection a C) (intersection C a)) True
% 3.88/4.07 Clause #80 (by clausification #[79]): ∀ (a a_1 : Iota), Eq (Eq (intersection a a_1) (intersection a_1 a)) True
% 3.88/4.07 Clause #81 (by clausification #[80]): ∀ (a a_1 : Iota), Eq (intersection a a_1) (intersection a_1 a)
% 3.88/4.07 Clause #82 (by superposition #[81, 22]): ∀ (a a_1 : Iota), Eq (intersection (skS.0 0 a) (skS.0 1 a a_1)) empty_set
% 3.88/4.07 Clause #102 (by superposition #[21, 26]): ∀ (a a_1 : Iota), Or (Eq (intersection (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 0 a)) (Eq False True)
% 3.88/4.07 Clause #261 (by clausification #[102]): ∀ (a a_1 : Iota), Eq (intersection (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 0 a)
% 3.88/4.07 Clause #262 (by superposition #[261, 82]): ∀ (a : Iota), Eq (skS.0 0 a) empty_set
% 3.88/4.07 Clause #271 (by forward contextual literal cutting #[262, 47]): False
% 3.88/4.07 SZS output end Proof for theBenchmark.p
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