TSTP Solution File: SET886+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SET886+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n023.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 14:47:56 EDT 2023
% Result : Theorem 3.61s 3.78s
% Output : Proof 3.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET886+1 : TPTP v8.1.2. Released v3.2.0.
% 0.04/0.13 % Command : duper %s
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Aug 26 16:30:41 EDT 2023
% 0.12/0.34 % CPUTime :
% 3.61/3.78 SZS status Theorem for theBenchmark.p
% 3.61/3.78 SZS output start Proof for theBenchmark.p
% 3.61/3.78 Clause #0 (by assumption #[]): Eq (∀ (A B : Iota), Eq (unordered_pair A B) (unordered_pair B A)) True
% 3.61/3.78 Clause #4 (by assumption #[]): Eq (∀ (A B C : Iota), subset (unordered_pair A B) (singleton C) → Eq A C) True
% 3.61/3.78 Clause #5 (by assumption #[]): Eq (Not (∀ (A B C : Iota), subset (unordered_pair A B) (singleton C) → Eq (unordered_pair A B) (singleton C))) True
% 3.61/3.78 Clause #6 (by assumption #[]): Eq (∀ (A : Iota), Eq (unordered_pair A A) (singleton A)) True
% 3.61/3.78 Clause #13 (by clausification #[4]): ∀ (a : Iota), Eq (∀ (B C : Iota), subset (unordered_pair a B) (singleton C) → Eq a C) True
% 3.61/3.78 Clause #14 (by clausification #[13]): ∀ (a a_1 : Iota), Eq (∀ (C : Iota), subset (unordered_pair a a_1) (singleton C) → Eq a C) True
% 3.61/3.78 Clause #15 (by clausification #[14]): ∀ (a a_1 a_2 : Iota), Eq (subset (unordered_pair a a_1) (singleton a_2) → Eq a a_2) True
% 3.61/3.78 Clause #16 (by clausification #[15]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset (unordered_pair a a_1) (singleton a_2)) False) (Eq (Eq a a_2) True)
% 3.61/3.78 Clause #17 (by clausification #[16]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset (unordered_pair a a_1) (singleton a_2)) False) (Eq a a_2)
% 3.61/3.78 Clause #18 (by clausification #[6]): ∀ (a : Iota), Eq (Eq (unordered_pair a a) (singleton a)) True
% 3.61/3.78 Clause #19 (by clausification #[18]): ∀ (a : Iota), Eq (unordered_pair a a) (singleton a)
% 3.61/3.78 Clause #21 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (B : Iota), Eq (unordered_pair a B) (unordered_pair B a)) True
% 3.61/3.78 Clause #22 (by clausification #[21]): ∀ (a a_1 : Iota), Eq (Eq (unordered_pair a a_1) (unordered_pair a_1 a)) True
% 3.61/3.78 Clause #23 (by clausification #[22]): ∀ (a a_1 : Iota), Eq (unordered_pair a a_1) (unordered_pair a_1 a)
% 3.61/3.78 Clause #24 (by superposition #[23, 17]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset (unordered_pair a a_1) (singleton a_2)) False) (Eq a_1 a_2)
% 3.61/3.78 Clause #27 (by clausification #[5]): Eq (∀ (A B C : Iota), subset (unordered_pair A B) (singleton C) → Eq (unordered_pair A B) (singleton C)) False
% 3.61/3.78 Clause #28 (by clausification #[27]): ∀ (a : Iota),
% 3.61/3.78 Eq
% 3.61/3.78 (Not
% 3.61/3.78 (∀ (B C : Iota),
% 3.61/3.78 subset (unordered_pair (skS.0 2 a) B) (singleton C) → Eq (unordered_pair (skS.0 2 a) B) (singleton C)))
% 3.61/3.78 True
% 3.61/3.78 Clause #29 (by clausification #[28]): ∀ (a : Iota),
% 3.61/3.78 Eq
% 3.61/3.78 (∀ (B C : Iota),
% 3.61/3.78 subset (unordered_pair (skS.0 2 a) B) (singleton C) → Eq (unordered_pair (skS.0 2 a) B) (singleton C))
% 3.61/3.78 False
% 3.61/3.78 Clause #30 (by clausification #[29]): ∀ (a a_1 : Iota),
% 3.61/3.78 Eq
% 3.61/3.78 (Not
% 3.61/3.78 (∀ (C : Iota),
% 3.61/3.78 subset (unordered_pair (skS.0 2 a) (skS.0 3 a a_1)) (singleton C) →
% 3.61/3.78 Eq (unordered_pair (skS.0 2 a) (skS.0 3 a a_1)) (singleton C)))
% 3.61/3.78 True
% 3.61/3.78 Clause #31 (by clausification #[30]): ∀ (a a_1 : Iota),
% 3.61/3.78 Eq
% 3.61/3.78 (∀ (C : Iota),
% 3.61/3.78 subset (unordered_pair (skS.0 2 a) (skS.0 3 a a_1)) (singleton C) →
% 3.61/3.78 Eq (unordered_pair (skS.0 2 a) (skS.0 3 a a_1)) (singleton C))
% 3.61/3.78 False
% 3.61/3.78 Clause #32 (by clausification #[31]): ∀ (a a_1 a_2 : Iota),
% 3.61/3.78 Eq
% 3.61/3.78 (Not
% 3.61/3.78 (subset (unordered_pair (skS.0 2 a) (skS.0 3 a a_1)) (singleton (skS.0 4 a a_1 a_2)) →
% 3.61/3.78 Eq (unordered_pair (skS.0 2 a) (skS.0 3 a a_1)) (singleton (skS.0 4 a a_1 a_2))))
% 3.61/3.78 True
% 3.61/3.78 Clause #33 (by clausification #[32]): ∀ (a a_1 a_2 : Iota),
% 3.61/3.78 Eq
% 3.61/3.78 (subset (unordered_pair (skS.0 2 a) (skS.0 3 a a_1)) (singleton (skS.0 4 a a_1 a_2)) →
% 3.61/3.78 Eq (unordered_pair (skS.0 2 a) (skS.0 3 a a_1)) (singleton (skS.0 4 a a_1 a_2)))
% 3.61/3.78 False
% 3.61/3.78 Clause #34 (by clausification #[33]): ∀ (a a_1 a_2 : Iota), Eq (subset (unordered_pair (skS.0 2 a) (skS.0 3 a a_1)) (singleton (skS.0 4 a a_1 a_2))) True
% 3.61/3.78 Clause #35 (by clausification #[33]): ∀ (a a_1 a_2 : Iota), Eq (Eq (unordered_pair (skS.0 2 a) (skS.0 3 a a_1)) (singleton (skS.0 4 a a_1 a_2))) False
% 3.61/3.78 Clause #36 (by superposition #[34, 17]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (skS.0 2 a) (skS.0 4 a a_1 a_2))
% 3.61/3.78 Clause #37 (by superposition #[34, 24]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (skS.0 3 a a_1) (skS.0 4 a a_1 a_2))
% 3.61/3.78 Clause #38 (by clausification #[36]): ∀ (a a_1 a_2 : Iota), Eq (skS.0 2 a) (skS.0 4 a a_1 a_2)
% 3.61/3.79 Clause #40 (by clausification #[35]): ∀ (a a_1 a_2 : Iota), Ne (unordered_pair (skS.0 2 a) (skS.0 3 a a_1)) (singleton (skS.0 4 a a_1 a_2))
% 3.61/3.79 Clause #41 (by forward demodulation #[40, 38]): ∀ (a a_1 : Iota), Ne (unordered_pair (skS.0 2 a) (skS.0 3 a a_1)) (singleton (skS.0 2 a))
% 3.61/3.79 Clause #42 (by clausification #[37]): ∀ (a a_1 a_2 : Iota), Eq (skS.0 3 a a_1) (skS.0 4 a a_1 a_2)
% 3.61/3.79 Clause #43 (by superposition #[42, 38]): ∀ (a a_1 : Iota), Eq (skS.0 2 a) (skS.0 3 a a_1)
% 3.61/3.79 Clause #44 (by backward demodulation #[43, 41]): ∀ (a : Iota), Ne (unordered_pair (skS.0 2 a) (skS.0 2 a)) (singleton (skS.0 2 a))
% 3.61/3.79 Clause #45 (by forward demodulation #[44, 19]): ∀ (a : Iota), Ne (singleton (skS.0 2 a)) (singleton (skS.0 2 a))
% 3.61/3.79 Clause #46 (by eliminate resolved literals #[45]): False
% 3.61/3.79 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------