TSTP Solution File: SET904+1 by Duper---1.0

View Problem - Process Solution

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% File     : Duper---1.0
% Problem  : SET904+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n020.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 14:47:59 EDT 2023

% Result   : Theorem 3.60s 3.84s
% Output   : Proof 3.60s
% 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    : SET904+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14  % Command    : duper %s
% 0.13/0.35  % Computer : n020.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 11:17:29 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 3.60/3.84  SZS status Theorem for theBenchmark.p
% 3.60/3.84  SZS output start Proof for theBenchmark.p
% 3.60/3.84  Clause #8 (by assumption #[]): Eq (Not (∀ (A B : Iota), subset (set_union2 (singleton A) B) B → in A B)) True
% 3.60/3.84  Clause #9 (by assumption #[]): Eq (∀ (A B : Iota), subset (set_union2 (singleton A) B) B → in A B) True
% 3.60/3.84  Clause #14 (by clausification #[9]): ∀ (a : Iota), Eq (∀ (B : Iota), subset (set_union2 (singleton a) B) B → in a B) True
% 3.60/3.84  Clause #15 (by clausification #[14]): ∀ (a a_1 : Iota), Eq (subset (set_union2 (singleton a) a_1) a_1 → in a a_1) True
% 3.60/3.84  Clause #16 (by clausification #[15]): ∀ (a a_1 : Iota), Or (Eq (subset (set_union2 (singleton a) a_1) a_1) False) (Eq (in a a_1) True)
% 3.60/3.84  Clause #28 (by clausification #[8]): Eq (∀ (A B : Iota), subset (set_union2 (singleton A) B) B → in A B) False
% 3.60/3.84  Clause #29 (by clausification #[28]): ∀ (a : Iota), Eq (Not (∀ (B : Iota), subset (set_union2 (singleton (skS.0 2 a)) B) B → in (skS.0 2 a) B)) True
% 3.60/3.84  Clause #30 (by clausification #[29]): ∀ (a : Iota), Eq (∀ (B : Iota), subset (set_union2 (singleton (skS.0 2 a)) B) B → in (skS.0 2 a) B) False
% 3.60/3.84  Clause #31 (by clausification #[30]): ∀ (a a_1 : Iota),
% 3.60/3.84    Eq
% 3.60/3.84      (Not (subset (set_union2 (singleton (skS.0 2 a)) (skS.0 3 a a_1)) (skS.0 3 a a_1) → in (skS.0 2 a) (skS.0 3 a a_1)))
% 3.60/3.84      True
% 3.60/3.84  Clause #32 (by clausification #[31]): ∀ (a a_1 : Iota),
% 3.60/3.84    Eq (subset (set_union2 (singleton (skS.0 2 a)) (skS.0 3 a a_1)) (skS.0 3 a a_1) → in (skS.0 2 a) (skS.0 3 a a_1))
% 3.60/3.84      False
% 3.60/3.84  Clause #33 (by clausification #[32]): ∀ (a a_1 : Iota), Eq (subset (set_union2 (singleton (skS.0 2 a)) (skS.0 3 a a_1)) (skS.0 3 a a_1)) True
% 3.60/3.84  Clause #34 (by clausification #[32]): ∀ (a a_1 : Iota), Eq (in (skS.0 2 a) (skS.0 3 a a_1)) False
% 3.60/3.84  Clause #35 (by superposition #[33, 16]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (in (skS.0 2 a) (skS.0 3 a a_1)) True)
% 3.60/3.84  Clause #55 (by clausification #[35]): ∀ (a a_1 : Iota), Eq (in (skS.0 2 a) (skS.0 3 a a_1)) True
% 3.60/3.84  Clause #56 (by superposition #[55, 34]): Eq True False
% 3.60/3.84  Clause #58 (by clausification #[56]): False
% 3.60/3.84  SZS output end Proof for theBenchmark.p
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