TSTP Solution File: SET589+3 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SET589+3 : TPTP v8.1.2. Released v2.2.0.
% 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 14:46:55 EDT 2023
% Result : Theorem 17.97s 18.14s
% Output : Proof 17.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET589+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.14 % Command : duper %s
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 12:07:26 EDT 2023
% 0.13/0.35 % CPUTime :
% 17.97/18.14 SZS status Theorem for theBenchmark.p
% 17.97/18.14 SZS output start Proof for theBenchmark.p
% 17.97/18.14 Clause #0 (by assumption #[]): Eq (∀ (B C D : Iota), And (subset B C) (subset C D) → subset B D) True
% 17.97/18.14 Clause #1 (by assumption #[]): Eq (∀ (B C D : Iota), subset B C → subset (difference B D) (difference C D)) True
% 17.97/18.14 Clause #2 (by assumption #[]): Eq (∀ (B C D : Iota), subset B C → subset (difference D C) (difference D B)) True
% 17.97/18.14 Clause #6 (by assumption #[]): Eq (Not (∀ (B C D E : Iota), And (subset B C) (subset D E) → subset (difference B E) (difference C D))) True
% 17.97/18.14 Clause #8 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (C D : Iota), And (subset a C) (subset C D) → subset a D) True
% 17.97/18.14 Clause #9 (by clausification #[8]): ∀ (a a_1 : Iota), Eq (∀ (D : Iota), And (subset a a_1) (subset a_1 D) → subset a D) True
% 17.97/18.14 Clause #10 (by clausification #[9]): ∀ (a a_1 a_2 : Iota), Eq (And (subset a a_1) (subset a_1 a_2) → subset a a_2) True
% 17.97/18.14 Clause #11 (by clausification #[10]): ∀ (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)
% 17.97/18.14 Clause #12 (by clausification #[11]): ∀ (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))
% 17.97/18.14 Clause #15 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (C D : Iota), subset a C → subset (difference a D) (difference C D)) True
% 17.97/18.14 Clause #16 (by clausification #[15]): ∀ (a a_1 : Iota), Eq (∀ (D : Iota), subset a a_1 → subset (difference a D) (difference a_1 D)) True
% 17.97/18.14 Clause #17 (by clausification #[16]): ∀ (a a_1 a_2 : Iota), Eq (subset a a_1 → subset (difference a a_2) (difference a_1 a_2)) True
% 17.97/18.14 Clause #18 (by clausification #[17]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) False) (Eq (subset (difference a a_2) (difference a_1 a_2)) True)
% 17.97/18.14 Clause #21 (by clausification #[2]): ∀ (a : Iota), Eq (∀ (C D : Iota), subset a C → subset (difference D C) (difference D a)) True
% 17.97/18.14 Clause #22 (by clausification #[21]): ∀ (a a_1 : Iota), Eq (∀ (D : Iota), subset a a_1 → subset (difference D a_1) (difference D a)) True
% 17.97/18.14 Clause #23 (by clausification #[22]): ∀ (a a_1 a_2 : Iota), Eq (subset a a_1 → subset (difference a_2 a_1) (difference a_2 a)) True
% 17.97/18.14 Clause #24 (by clausification #[23]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) False) (Eq (subset (difference a_2 a_1) (difference a_2 a)) True)
% 17.97/18.14 Clause #37 (by clausification #[6]): Eq (∀ (B C D E : Iota), And (subset B C) (subset D E) → subset (difference B E) (difference C D)) False
% 17.97/18.14 Clause #38 (by clausification #[37]): ∀ (a : Iota),
% 17.97/18.14 Eq
% 17.97/18.14 (Not
% 17.97/18.14 (∀ (C D E : Iota), And (subset (skS.0 1 a) C) (subset D E) → subset (difference (skS.0 1 a) E) (difference C D)))
% 17.97/18.14 True
% 17.97/18.14 Clause #39 (by clausification #[38]): ∀ (a : Iota),
% 17.97/18.14 Eq (∀ (C D E : Iota), And (subset (skS.0 1 a) C) (subset D E) → subset (difference (skS.0 1 a) E) (difference C D))
% 17.97/18.14 False
% 17.97/18.14 Clause #40 (by clausification #[39]): ∀ (a a_1 : Iota),
% 17.97/18.14 Eq
% 17.97/18.14 (Not
% 17.97/18.14 (∀ (D E : Iota),
% 17.97/18.14 And (subset (skS.0 1 a) (skS.0 2 a a_1)) (subset D E) →
% 17.97/18.14 subset (difference (skS.0 1 a) E) (difference (skS.0 2 a a_1) D)))
% 17.97/18.14 True
% 17.97/18.14 Clause #41 (by clausification #[40]): ∀ (a a_1 : Iota),
% 17.97/18.14 Eq
% 17.97/18.14 (∀ (D E : Iota),
% 17.97/18.14 And (subset (skS.0 1 a) (skS.0 2 a a_1)) (subset D E) →
% 17.97/18.14 subset (difference (skS.0 1 a) E) (difference (skS.0 2 a a_1) D))
% 17.97/18.14 False
% 17.97/18.14 Clause #42 (by clausification #[41]): ∀ (a a_1 a_2 : Iota),
% 17.97/18.14 Eq
% 17.97/18.14 (Not
% 17.97/18.14 (∀ (E : Iota),
% 17.97/18.14 And (subset (skS.0 1 a) (skS.0 2 a a_1)) (subset (skS.0 3 a a_1 a_2) E) →
% 17.97/18.14 subset (difference (skS.0 1 a) E) (difference (skS.0 2 a a_1) (skS.0 3 a a_1 a_2))))
% 17.97/18.14 True
% 17.97/18.14 Clause #43 (by clausification #[42]): ∀ (a a_1 a_2 : Iota),
% 17.97/18.14 Eq
% 17.97/18.14 (∀ (E : Iota),
% 17.97/18.14 And (subset (skS.0 1 a) (skS.0 2 a a_1)) (subset (skS.0 3 a a_1 a_2) E) →
% 17.97/18.14 subset (difference (skS.0 1 a) E) (difference (skS.0 2 a a_1) (skS.0 3 a a_1 a_2)))
% 17.97/18.14 False
% 17.97/18.14 Clause #44 (by clausification #[43]): ∀ (a a_1 a_2 a_3 : Iota),
% 17.97/18.14 Eq
% 17.97/18.14 (Not
% 17.97/18.14 (And (subset (skS.0 1 a) (skS.0 2 a a_1)) (subset (skS.0 3 a a_1 a_2) (skS.0 4 a a_1 a_2 a_3)) →
% 17.97/18.18 subset (difference (skS.0 1 a) (skS.0 4 a a_1 a_2 a_3)) (difference (skS.0 2 a a_1) (skS.0 3 a a_1 a_2))))
% 17.97/18.18 True
% 17.97/18.18 Clause #45 (by clausification #[44]): ∀ (a a_1 a_2 a_3 : Iota),
% 17.97/18.18 Eq
% 17.97/18.18 (And (subset (skS.0 1 a) (skS.0 2 a a_1)) (subset (skS.0 3 a a_1 a_2) (skS.0 4 a a_1 a_2 a_3)) →
% 17.97/18.18 subset (difference (skS.0 1 a) (skS.0 4 a a_1 a_2 a_3)) (difference (skS.0 2 a a_1) (skS.0 3 a a_1 a_2)))
% 17.97/18.18 False
% 17.97/18.18 Clause #46 (by clausification #[45]): ∀ (a a_1 a_2 a_3 : Iota),
% 17.97/18.18 Eq (And (subset (skS.0 1 a) (skS.0 2 a a_1)) (subset (skS.0 3 a a_1 a_2) (skS.0 4 a a_1 a_2 a_3))) True
% 17.97/18.18 Clause #47 (by clausification #[45]): ∀ (a a_1 a_2 a_3 : Iota),
% 17.97/18.18 Eq (subset (difference (skS.0 1 a) (skS.0 4 a a_1 a_2 a_3)) (difference (skS.0 2 a a_1) (skS.0 3 a a_1 a_2))) False
% 17.97/18.18 Clause #48 (by clausification #[46]): ∀ (a a_1 a_2 a_3 : Iota), Eq (subset (skS.0 3 a a_1 a_2) (skS.0 4 a a_1 a_2 a_3)) True
% 17.97/18.18 Clause #49 (by clausification #[46]): ∀ (a a_1 : Iota), Eq (subset (skS.0 1 a) (skS.0 2 a a_1)) True
% 17.97/18.18 Clause #52 (by superposition #[48, 24]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 17.97/18.18 Or (Eq True False) (Eq (subset (difference a (skS.0 4 a_1 a_2 a_3 a_4)) (difference a (skS.0 3 a_1 a_2 a_3))) True)
% 17.97/18.18 Clause #55 (by superposition #[49, 18]): ∀ (a a_1 a_2 : Iota),
% 17.97/18.18 Or (Eq True False) (Eq (subset (difference (skS.0 1 a) a_1) (difference (skS.0 2 a a_2) a_1)) True)
% 17.97/18.18 Clause #75 (by clausification #[55]): ∀ (a a_1 a_2 : Iota), Eq (subset (difference (skS.0 1 a) a_1) (difference (skS.0 2 a a_2) a_1)) True
% 17.97/18.18 Clause #76 (by superposition #[75, 12]): ∀ (a a_1 a_2 a_3 : Iota),
% 17.97/18.18 Or (Eq (subset (difference (skS.0 1 a) a_1) a_2) True)
% 17.97/18.18 (Or (Eq True False) (Eq (subset (difference (skS.0 2 a a_3) a_1) a_2) False))
% 17.97/18.18 Clause #138 (by clausification #[52]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 17.97/18.18 Eq (subset (difference a (skS.0 4 a_1 a_2 a_3 a_4)) (difference a (skS.0 3 a_1 a_2 a_3))) True
% 17.97/18.18 Clause #254 (by clausification #[76]): ∀ (a a_1 a_2 a_3 : Iota),
% 17.97/18.18 Or (Eq (subset (difference (skS.0 1 a) a_1) a_2) True) (Eq (subset (difference (skS.0 2 a a_3) a_1) a_2) False)
% 17.97/18.18 Clause #258 (by superposition #[254, 138]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 17.97/18.18 Or
% 17.97/18.18 (Eq (subset (difference (skS.0 1 a) (skS.0 4 a_1 a_2 a_3 a_4)) (difference (skS.0 2 a a_5) (skS.0 3 a_1 a_2 a_3)))
% 17.97/18.18 True)
% 17.97/18.18 (Eq False True)
% 17.97/18.18 Clause #2713 (by clausification #[258]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 17.97/18.18 Eq (subset (difference (skS.0 1 a) (skS.0 4 a_1 a_2 a_3 a_4)) (difference (skS.0 2 a a_5) (skS.0 3 a_1 a_2 a_3))) True
% 17.97/18.18 Clause #2714 (by superposition #[2713, 47]): Eq True False
% 17.97/18.18 Clause #2726 (by clausification #[2714]): False
% 17.97/18.18 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------