TSTP Solution File: SEU727^2 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SEU727^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n004.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 16:43:35 EDT 2023
% Result : Theorem 3.83s 4.02s
% Output : Proof 3.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU727^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 23 23:10:23 EDT 2023
% 0.13/0.34 % CPUTime :
% 3.83/4.02 SZS status Theorem for theBenchmark.p
% 3.83/4.02 SZS output start Proof for theBenchmark.p
% 3.83/4.02 Clause #0 (by assumption #[]): Eq (Eq setminusI (∀ (A B Xx : Iota), in Xx A → Not (in Xx B) → in Xx (setminus A B))) True
% 3.83/4.02 Clause #1 (by assumption #[]): Eq (Eq setminusER (∀ (A B Xx : Iota), in Xx (setminus A B) → Not (in Xx B))) True
% 3.83/4.02 Clause #2 (by assumption #[]): Eq
% 3.83/4.02 (Not
% 3.83/4.02 (setminusI →
% 3.83/4.02 setminusER →
% 3.83/4.02 ∀ (A X : Iota), in X (powerset A) → ∀ (Xx : Iota), in Xx A → in Xx X → in Xx (setminus A (setminus A X))))
% 3.83/4.02 True
% 3.83/4.02 Clause #3 (by clausification #[1]): Eq setminusER (∀ (A B Xx : Iota), in Xx (setminus A B) → Not (in Xx B))
% 3.83/4.02 Clause #20 (by clausification #[0]): Eq setminusI (∀ (A B Xx : Iota), in Xx A → Not (in Xx B) → in Xx (setminus A B))
% 3.83/4.02 Clause #24 (by clausification #[2]): Eq
% 3.83/4.02 (setminusI →
% 3.83/4.02 setminusER →
% 3.83/4.02 ∀ (A X : Iota), in X (powerset A) → ∀ (Xx : Iota), in Xx A → in Xx X → in Xx (setminus A (setminus A X)))
% 3.83/4.02 False
% 3.83/4.02 Clause #25 (by clausification #[24]): Eq setminusI True
% 3.83/4.02 Clause #26 (by clausification #[24]): Eq
% 3.83/4.02 (setminusER →
% 3.83/4.02 ∀ (A X : Iota), in X (powerset A) → ∀ (Xx : Iota), in Xx A → in Xx X → in Xx (setminus A (setminus A X)))
% 3.83/4.02 False
% 3.83/4.02 Clause #27 (by backward demodulation #[25, 20]): Eq True (∀ (A B Xx : Iota), in Xx A → Not (in Xx B) → in Xx (setminus A B))
% 3.83/4.02 Clause #28 (by clausification #[27]): ∀ (a : Iota), Eq (∀ (B Xx : Iota), in Xx a → Not (in Xx B) → in Xx (setminus a B)) True
% 3.83/4.02 Clause #29 (by clausification #[28]): ∀ (a a_1 : Iota), Eq (∀ (Xx : Iota), in Xx a → Not (in Xx a_1) → in Xx (setminus a a_1)) True
% 3.83/4.02 Clause #30 (by clausification #[29]): ∀ (a a_1 a_2 : Iota), Eq (in a a_1 → Not (in a a_2) → in a (setminus a_1 a_2)) True
% 3.83/4.02 Clause #31 (by clausification #[30]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a a_1) False) (Eq (Not (in a a_2) → in a (setminus a_1 a_2)) True)
% 3.83/4.02 Clause #32 (by clausification #[31]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a a_1) False) (Or (Eq (Not (in a a_2)) False) (Eq (in a (setminus a_1 a_2)) True))
% 3.83/4.02 Clause #33 (by clausification #[32]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a a_1) False) (Or (Eq (in a (setminus a_1 a_2)) True) (Eq (in a a_2) True))
% 3.83/4.02 Clause #51 (by clausification #[26]): Eq setminusER True
% 3.83/4.02 Clause #52 (by clausification #[26]): Eq (∀ (A X : Iota), in X (powerset A) → ∀ (Xx : Iota), in Xx A → in Xx X → in Xx (setminus A (setminus A X))) False
% 3.83/4.02 Clause #53 (by backward demodulation #[51, 3]): Eq True (∀ (A B Xx : Iota), in Xx (setminus A B) → Not (in Xx B))
% 3.83/4.02 Clause #58 (by clausification #[53]): ∀ (a : Iota), Eq (∀ (B Xx : Iota), in Xx (setminus a B) → Not (in Xx B)) True
% 3.83/4.02 Clause #59 (by clausification #[58]): ∀ (a a_1 : Iota), Eq (∀ (Xx : Iota), in Xx (setminus a a_1) → Not (in Xx a_1)) True
% 3.83/4.02 Clause #60 (by clausification #[59]): ∀ (a a_1 a_2 : Iota), Eq (in a (setminus a_1 a_2) → Not (in a a_2)) True
% 3.83/4.02 Clause #61 (by clausification #[60]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a (setminus a_1 a_2)) False) (Eq (Not (in a a_2)) True)
% 3.83/4.02 Clause #62 (by clausification #[61]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a (setminus a_1 a_2)) False) (Eq (in a a_2) False)
% 3.83/4.02 Clause #63 (by clausification #[52]): ∀ (a : Iota),
% 3.83/4.02 Eq
% 3.83/4.02 (Not
% 3.83/4.02 (∀ (X : Iota),
% 3.83/4.02 in X (powerset (skS.0 6 a)) →
% 3.83/4.02 ∀ (Xx : Iota), in Xx (skS.0 6 a) → in Xx X → in Xx (setminus (skS.0 6 a) (setminus (skS.0 6 a) X))))
% 3.83/4.02 True
% 3.83/4.02 Clause #64 (by clausification #[63]): ∀ (a : Iota),
% 3.83/4.02 Eq
% 3.83/4.02 (∀ (X : Iota),
% 3.83/4.02 in X (powerset (skS.0 6 a)) →
% 3.83/4.02 ∀ (Xx : Iota), in Xx (skS.0 6 a) → in Xx X → in Xx (setminus (skS.0 6 a) (setminus (skS.0 6 a) X)))
% 3.83/4.02 False
% 3.83/4.02 Clause #65 (by clausification #[64]): ∀ (a a_1 : Iota),
% 3.83/4.02 Eq
% 3.83/4.02 (Not
% 3.83/4.02 (in (skS.0 7 a a_1) (powerset (skS.0 6 a)) →
% 3.83/4.02 ∀ (Xx : Iota),
% 3.83/4.02 in Xx (skS.0 6 a) →
% 3.83/4.02 in Xx (skS.0 7 a a_1) → in Xx (setminus (skS.0 6 a) (setminus (skS.0 6 a) (skS.0 7 a a_1)))))
% 3.83/4.02 True
% 3.83/4.02 Clause #66 (by clausification #[65]): ∀ (a a_1 : Iota),
% 3.83/4.02 Eq
% 3.83/4.02 (in (skS.0 7 a a_1) (powerset (skS.0 6 a)) →
% 3.83/4.02 ∀ (Xx : Iota),
% 3.83/4.02 in Xx (skS.0 6 a) → in Xx (skS.0 7 a a_1) → in Xx (setminus (skS.0 6 a) (setminus (skS.0 6 a) (skS.0 7 a a_1))))
% 3.83/4.04 False
% 3.83/4.04 Clause #68 (by clausification #[66]): ∀ (a a_1 : Iota),
% 3.83/4.04 Eq
% 3.83/4.04 (∀ (Xx : Iota),
% 3.83/4.04 in Xx (skS.0 6 a) → in Xx (skS.0 7 a a_1) → in Xx (setminus (skS.0 6 a) (setminus (skS.0 6 a) (skS.0 7 a a_1))))
% 3.83/4.04 False
% 3.83/4.04 Clause #70 (by clausification #[68]): ∀ (a a_1 a_2 : Iota),
% 3.83/4.04 Eq
% 3.83/4.04 (Not
% 3.83/4.04 (in (skS.0 8 a a_1 a_2) (skS.0 6 a) →
% 3.83/4.04 in (skS.0 8 a a_1 a_2) (skS.0 7 a a_1) →
% 3.83/4.04 in (skS.0 8 a a_1 a_2) (setminus (skS.0 6 a) (setminus (skS.0 6 a) (skS.0 7 a a_1)))))
% 3.83/4.04 True
% 3.83/4.04 Clause #71 (by clausification #[70]): ∀ (a a_1 a_2 : Iota),
% 3.83/4.04 Eq
% 3.83/4.04 (in (skS.0 8 a a_1 a_2) (skS.0 6 a) →
% 3.83/4.04 in (skS.0 8 a a_1 a_2) (skS.0 7 a a_1) →
% 3.83/4.04 in (skS.0 8 a a_1 a_2) (setminus (skS.0 6 a) (setminus (skS.0 6 a) (skS.0 7 a a_1))))
% 3.83/4.04 False
% 3.83/4.04 Clause #72 (by clausification #[71]): ∀ (a a_1 a_2 : Iota), Eq (in (skS.0 8 a a_1 a_2) (skS.0 6 a)) True
% 3.83/4.04 Clause #73 (by clausification #[71]): ∀ (a a_1 a_2 : Iota),
% 3.83/4.04 Eq
% 3.83/4.04 (in (skS.0 8 a a_1 a_2) (skS.0 7 a a_1) →
% 3.83/4.04 in (skS.0 8 a a_1 a_2) (setminus (skS.0 6 a) (setminus (skS.0 6 a) (skS.0 7 a a_1))))
% 3.83/4.04 False
% 3.83/4.04 Clause #74 (by superposition #[72, 33]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.83/4.04 Or (Eq True False)
% 3.83/4.04 (Or (Eq (in (skS.0 8 a a_1 a_2) (setminus (skS.0 6 a) a_3)) True) (Eq (in (skS.0 8 a a_1 a_2) a_3) True))
% 3.83/4.04 Clause #86 (by clausification #[73]): ∀ (a a_1 a_2 : Iota), Eq (in (skS.0 8 a a_1 a_2) (skS.0 7 a a_1)) True
% 3.83/4.04 Clause #87 (by clausification #[73]): ∀ (a a_1 a_2 : Iota), Eq (in (skS.0 8 a a_1 a_2) (setminus (skS.0 6 a) (setminus (skS.0 6 a) (skS.0 7 a a_1)))) False
% 3.83/4.04 Clause #89 (by clausification #[74]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.83/4.04 Or (Eq (in (skS.0 8 a a_1 a_2) (setminus (skS.0 6 a) a_3)) True) (Eq (in (skS.0 8 a a_1 a_2) a_3) True)
% 3.83/4.04 Clause #93 (by superposition #[87, 89]): ∀ (a a_1 a_2 : Iota), Or (Eq (in (skS.0 8 a a_1 a_2) (setminus (skS.0 6 a) (skS.0 7 a a_1))) True) (Eq True False)
% 3.83/4.04 Clause #94 (by clausification #[93]): ∀ (a a_1 a_2 : Iota), Eq (in (skS.0 8 a a_1 a_2) (setminus (skS.0 6 a) (skS.0 7 a a_1))) True
% 3.83/4.04 Clause #95 (by superposition #[94, 62]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (in (skS.0 8 a a_1 a_2) (skS.0 7 a a_1)) False)
% 3.83/4.04 Clause #97 (by clausification #[95]): ∀ (a a_1 a_2 : Iota), Eq (in (skS.0 8 a a_1 a_2) (skS.0 7 a a_1)) False
% 3.83/4.04 Clause #98 (by superposition #[97, 86]): Eq False True
% 3.83/4.04 Clause #99 (by clausification #[98]): False
% 3.83/4.04 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------