TSTP Solution File: SEU150+1 by Duper---1.0
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- Process Solution
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% File : Duper---1.0
% Problem : SEU150+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n009.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 16:40:27 EDT 2023
% Result : Theorem 3.77s 3.94s
% Output : Proof 3.77s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU150+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : duper %s
% 0.13/0.35 % Computer : n009.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 16:16:36 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.77/3.94 SZS status Theorem for theBenchmark.p
% 3.77/3.94 SZS output start Proof for theBenchmark.p
% 3.77/3.94 Clause #0 (by assumption #[]): Eq (∀ (A B : Iota), Eq (unordered_pair A B) (unordered_pair B A)) True
% 3.77/3.94 Clause #2 (by assumption #[]): Eq (∀ (A B C : Iota), Eq (singleton A) (unordered_pair B C) → Eq A B) True
% 3.77/3.94 Clause #3 (by assumption #[]): Eq (Not (∀ (A B C : Iota), Eq (singleton A) (unordered_pair B C) → Eq B C)) True
% 3.77/3.94 Clause #4 (by clausification #[2]): ∀ (a : Iota), Eq (∀ (B C : Iota), Eq (singleton a) (unordered_pair B C) → Eq a B) True
% 3.77/3.94 Clause #5 (by clausification #[4]): ∀ (a a_1 : Iota), Eq (∀ (C : Iota), Eq (singleton a) (unordered_pair a_1 C) → Eq a a_1) True
% 3.77/3.94 Clause #6 (by clausification #[5]): ∀ (a a_1 a_2 : Iota), Eq (Eq (singleton a) (unordered_pair a_1 a_2) → Eq a a_1) True
% 3.77/3.94 Clause #7 (by clausification #[6]): ∀ (a a_1 a_2 : Iota), Or (Eq (Eq (singleton a) (unordered_pair a_1 a_2)) False) (Eq (Eq a a_1) True)
% 3.77/3.94 Clause #8 (by clausification #[7]): ∀ (a a_1 a_2 : Iota), Or (Eq (Eq a a_1) True) (Ne (singleton a) (unordered_pair a_1 a_2))
% 3.77/3.94 Clause #9 (by clausification #[8]): ∀ (a a_1 a_2 : Iota), Or (Ne (singleton a) (unordered_pair a_1 a_2)) (Eq a a_1)
% 3.77/3.94 Clause #10 (by clausification #[3]): Eq (∀ (A B C : Iota), Eq (singleton A) (unordered_pair B C) → Eq B C) False
% 3.77/3.94 Clause #11 (by clausification #[10]): ∀ (a : Iota), Eq (Not (∀ (B C : Iota), Eq (singleton (skS.0 0 a)) (unordered_pair B C) → Eq B C)) True
% 3.77/3.94 Clause #12 (by clausification #[11]): ∀ (a : Iota), Eq (∀ (B C : Iota), Eq (singleton (skS.0 0 a)) (unordered_pair B C) → Eq B C) False
% 3.77/3.94 Clause #13 (by clausification #[12]): ∀ (a a_1 : Iota),
% 3.77/3.94 Eq (Not (∀ (C : Iota), Eq (singleton (skS.0 0 a)) (unordered_pair (skS.0 1 a a_1) C) → Eq (skS.0 1 a a_1) C)) True
% 3.77/3.94 Clause #14 (by clausification #[13]): ∀ (a a_1 : Iota),
% 3.77/3.94 Eq (∀ (C : Iota), Eq (singleton (skS.0 0 a)) (unordered_pair (skS.0 1 a a_1) C) → Eq (skS.0 1 a a_1) C) False
% 3.77/3.94 Clause #15 (by clausification #[14]): ∀ (a a_1 a_2 : Iota),
% 3.77/3.94 Eq
% 3.77/3.94 (Not
% 3.77/3.94 (Eq (singleton (skS.0 0 a)) (unordered_pair (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) →
% 3.77/3.94 Eq (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)))
% 3.77/3.94 True
% 3.77/3.94 Clause #16 (by clausification #[15]): ∀ (a a_1 a_2 : Iota),
% 3.77/3.94 Eq
% 3.77/3.94 (Eq (singleton (skS.0 0 a)) (unordered_pair (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) →
% 3.77/3.94 Eq (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))
% 3.77/3.94 False
% 3.77/3.94 Clause #17 (by clausification #[16]): ∀ (a a_1 a_2 : Iota), Eq (Eq (singleton (skS.0 0 a)) (unordered_pair (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))) True
% 3.77/3.94 Clause #18 (by clausification #[16]): ∀ (a a_1 a_2 : Iota), Eq (Eq (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) False
% 3.77/3.94 Clause #19 (by clausification #[17]): ∀ (a a_1 a_2 : Iota), Eq (singleton (skS.0 0 a)) (unordered_pair (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))
% 3.77/3.94 Clause #20 (by superposition #[19, 9]): ∀ (a a_1 a_2 : Iota), Or (Ne (singleton a) (singleton (skS.0 0 a_1))) (Eq a (skS.0 1 a_1 a_2))
% 3.77/3.94 Clause #21 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (B : Iota), Eq (unordered_pair a B) (unordered_pair B a)) True
% 3.77/3.94 Clause #22 (by clausification #[21]): ∀ (a a_1 : Iota), Eq (Eq (unordered_pair a a_1) (unordered_pair a_1 a)) True
% 3.77/3.94 Clause #23 (by clausification #[22]): ∀ (a a_1 : Iota), Eq (unordered_pair a a_1) (unordered_pair a_1 a)
% 3.77/3.94 Clause #24 (by superposition #[23, 9]): ∀ (a a_1 a_2 : Iota), Or (Ne (singleton a) (unordered_pair a_1 a_2)) (Eq a a_2)
% 3.77/3.94 Clause #25 (by superposition #[24, 19]): ∀ (a a_1 a_2 a_3 : Iota), Or (Ne (singleton a) (singleton (skS.0 0 a_1))) (Eq a (skS.0 2 a_1 a_2 a_3))
% 3.77/3.94 Clause #26 (by clausification #[18]): ∀ (a a_1 a_2 : Iota), Ne (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)
% 3.77/3.94 Clause #27 (by equality resolution #[20]): ∀ (a a_1 : Iota), Eq (skS.0 0 a) (skS.0 1 a a_1)
% 3.77/3.94 Clause #29 (by backward demodulation #[27, 26]): ∀ (a a_1 a_2 : Iota), Ne (skS.0 0 a) (skS.0 2 a a_1 a_2)
% 3.77/3.94 Clause #32 (by equality resolution #[25]): ∀ (a a_1 a_2 : Iota), Eq (skS.0 0 a) (skS.0 2 a a_1 a_2)
% 3.77/3.94 Clause #33 (by forward contextual literal cutting #[32, 29]): False
% 3.77/3.94 SZS output end Proof for theBenchmark.p
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