TSTP Solution File: SEU609^2 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SEU609^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n011.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 16:42:58 EDT 2023
% Result : Theorem 3.38s 3.69s
% Output : Proof 3.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU609^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.13 % Command : duper %s
% 0.13/0.35 % Computer : n011.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 : Wed Aug 23 17:39:22 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.38/3.69 SZS status Theorem for theBenchmark.p
% 3.38/3.69 SZS output start Proof for theBenchmark.p
% 3.38/3.69 Clause #0 (by assumption #[]): Eq (Eq subsetI2 (∀ (A B : Iota), (∀ (Xx : Iota), in Xx A → in Xx B) → subset A B)) True
% 3.38/3.69 Clause #1 (by assumption #[]): Eq (Eq setminusEL (∀ (A B Xx : Iota), in Xx (setminus A B) → in Xx A)) True
% 3.38/3.69 Clause #2 (by assumption #[]): Eq (Not (subsetI2 → setminusEL → ∀ (A B : Iota), subset (setminus A B) A)) True
% 3.38/3.69 Clause #3 (by clausification #[0]): Eq subsetI2 (∀ (A B : Iota), (∀ (Xx : Iota), in Xx A → in Xx B) → subset A B)
% 3.38/3.69 Clause #5 (by clausify Prop equality #[3]): Or (Eq subsetI2 False) (Eq (∀ (A B : Iota), (∀ (Xx : Iota), in Xx A → in Xx B) → subset A B) True)
% 3.38/3.69 Clause #7 (by clausification #[5]): ∀ (a : Iota), Or (Eq subsetI2 False) (Eq (∀ (B : Iota), (∀ (Xx : Iota), in Xx a → in Xx B) → subset a B) True)
% 3.38/3.69 Clause #8 (by clausification #[7]): ∀ (a a_1 : Iota), Or (Eq subsetI2 False) (Eq ((∀ (Xx : Iota), in Xx a → in Xx a_1) → subset a a_1) True)
% 3.38/3.69 Clause #9 (by clausification #[8]): ∀ (a a_1 : Iota), Or (Eq subsetI2 False) (Or (Eq (∀ (Xx : Iota), in Xx a → in Xx a_1) False) (Eq (subset a a_1) True))
% 3.38/3.69 Clause #10 (by clausification #[9]): ∀ (a a_1 a_2 : Iota),
% 3.38/3.69 Or (Eq subsetI2 False)
% 3.38/3.69 (Or (Eq (subset a a_1) True) (Eq (Not (in (skS.0 0 a a_1 a_2) a → in (skS.0 0 a a_1 a_2) a_1)) True))
% 3.38/3.69 Clause #11 (by clausification #[10]): ∀ (a a_1 a_2 : Iota),
% 3.38/3.69 Or (Eq subsetI2 False)
% 3.38/3.69 (Or (Eq (subset a a_1) True) (Eq (in (skS.0 0 a a_1 a_2) a → in (skS.0 0 a a_1 a_2) a_1) False))
% 3.38/3.69 Clause #12 (by clausification #[11]): ∀ (a a_1 a_2 : Iota), Or (Eq subsetI2 False) (Or (Eq (subset a a_1) True) (Eq (in (skS.0 0 a a_1 a_2) a) True))
% 3.38/3.69 Clause #13 (by clausification #[11]): ∀ (a a_1 a_2 : Iota), Or (Eq subsetI2 False) (Or (Eq (subset a a_1) True) (Eq (in (skS.0 0 a a_1 a_2) a_1) False))
% 3.38/3.69 Clause #22 (by clausification #[2]): Eq (subsetI2 → setminusEL → ∀ (A B : Iota), subset (setminus A B) A) False
% 3.38/3.69 Clause #23 (by clausification #[22]): Eq subsetI2 True
% 3.38/3.69 Clause #24 (by clausification #[22]): Eq (setminusEL → ∀ (A B : Iota), subset (setminus A B) A) False
% 3.38/3.69 Clause #26 (by backward demodulation #[23, 12]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Or (Eq (subset a a_1) True) (Eq (in (skS.0 0 a a_1 a_2) a) True))
% 3.38/3.69 Clause #28 (by clausification #[1]): Eq setminusEL (∀ (A B Xx : Iota), in Xx (setminus A B) → in Xx A)
% 3.38/3.69 Clause #39 (by clausification #[24]): Eq setminusEL True
% 3.38/3.69 Clause #40 (by clausification #[24]): Eq (∀ (A B : Iota), subset (setminus A B) A) False
% 3.38/3.69 Clause #41 (by backward demodulation #[39, 28]): Eq True (∀ (A B Xx : Iota), in Xx (setminus A B) → in Xx A)
% 3.38/3.69 Clause #42 (by clausification #[41]): ∀ (a : Iota), Eq (∀ (B Xx : Iota), in Xx (setminus a B) → in Xx a) True
% 3.38/3.69 Clause #43 (by clausification #[42]): ∀ (a a_1 : Iota), Eq (∀ (Xx : Iota), in Xx (setminus a a_1) → in Xx a) True
% 3.38/3.69 Clause #44 (by clausification #[43]): ∀ (a a_1 a_2 : Iota), Eq (in a (setminus a_1 a_2) → in a a_1) True
% 3.38/3.69 Clause #45 (by clausification #[44]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a (setminus a_1 a_2)) False) (Eq (in a a_1) True)
% 3.38/3.69 Clause #47 (by clausification #[40]): ∀ (a : Iota), Eq (Not (∀ (B : Iota), subset (setminus (skS.0 4 a) B) (skS.0 4 a))) True
% 3.38/3.69 Clause #48 (by clausification #[47]): ∀ (a : Iota), Eq (∀ (B : Iota), subset (setminus (skS.0 4 a) B) (skS.0 4 a)) False
% 3.38/3.69 Clause #49 (by clausification #[48]): ∀ (a a_1 : Iota), Eq (Not (subset (setminus (skS.0 4 a) (skS.0 5 a a_1)) (skS.0 4 a))) True
% 3.38/3.69 Clause #50 (by clausification #[49]): ∀ (a a_1 : Iota), Eq (subset (setminus (skS.0 4 a) (skS.0 5 a a_1)) (skS.0 4 a)) False
% 3.38/3.69 Clause #56 (by forward demodulation #[13, 23]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Or (Eq (subset a a_1) True) (Eq (in (skS.0 0 a a_1 a_2) a_1) False))
% 3.38/3.69 Clause #57 (by clausification #[56]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) True) (Eq (in (skS.0 0 a a_1 a_2) a_1) False)
% 3.38/3.69 Clause #71 (by clausification #[26]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) True) (Eq (in (skS.0 0 a a_1 a_2) a) True)
% 3.38/3.69 Clause #72 (by superposition #[71, 45]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.38/3.70 Or (Eq (subset (setminus a a_1) a_2) True) (Or (Eq True False) (Eq (in (skS.0 0 (setminus a a_1) a_2 a_3) a) True))
% 3.38/3.70 Clause #75 (by clausification #[72]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (subset (setminus a a_1) a_2) True) (Eq (in (skS.0 0 (setminus a a_1) a_2 a_3) a) True)
% 3.38/3.70 Clause #77 (by superposition #[75, 57]): ∀ (a a_1 : Iota), Or (Eq (subset (setminus a a_1) a) True) (Or (Eq (subset (setminus a a_1) a) True) (Eq True False))
% 3.38/3.70 Clause #78 (by clausification #[77]): ∀ (a a_1 : Iota), Or (Eq (subset (setminus a a_1) a) True) (Eq (subset (setminus a a_1) a) True)
% 3.38/3.70 Clause #79 (by eliminate duplicate literals #[78]): ∀ (a a_1 : Iota), Eq (subset (setminus a a_1) a) True
% 3.38/3.70 Clause #80 (by superposition #[79, 50]): Eq True False
% 3.38/3.70 Clause #83 (by clausification #[80]): False
% 3.38/3.70 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------