TSTP Solution File: SET093+1 by Duper---1.0

View Problem - Process Solution

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% File     : Duper---1.0
% Problem  : SET093+1 : TPTP v8.1.2. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n014.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 14:45:36 EDT 2023

% Result   : Theorem 3.83s 3.98s
% Output   : Proof 3.83s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : SET093+1 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.13/0.15  % Command    : duper %s
% 0.16/0.36  % Computer : n014.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Sat Aug 26 10:00:17 EDT 2023
% 0.16/0.36  % CPUTime    : 
% 3.83/3.98  SZS status Theorem for theBenchmark.p
% 3.83/3.98  SZS output start Proof for theBenchmark.p
% 3.83/3.98  Clause #4 (by assumption #[]): Eq (∀ (X Y : Iota), member (unordered_pair X Y) universal_class) True
% 3.83/3.98  Clause #5 (by assumption #[]): Eq (∀ (X : Iota), Eq (singleton X) (unordered_pair X X)) True
% 3.83/3.98  Clause #47 (by assumption #[]): Eq (Not (∀ (X : Iota), Eq (singleton (member_of X)) X → member X universal_class)) True
% 3.83/3.98  Clause #51 (by clausification #[47]): Eq (∀ (X : Iota), Eq (singleton (member_of X)) X → member X universal_class) False
% 3.83/3.98  Clause #52 (by clausification #[51]): ∀ (a : Iota), Eq (Not (Eq (singleton (member_of (skS.0 0 a))) (skS.0 0 a) → member (skS.0 0 a) universal_class)) True
% 3.83/3.98  Clause #53 (by clausification #[52]): ∀ (a : Iota), Eq (Eq (singleton (member_of (skS.0 0 a))) (skS.0 0 a) → member (skS.0 0 a) universal_class) False
% 3.83/3.98  Clause #54 (by clausification #[53]): ∀ (a : Iota), Eq (Eq (singleton (member_of (skS.0 0 a))) (skS.0 0 a)) True
% 3.83/3.98  Clause #55 (by clausification #[53]): ∀ (a : Iota), Eq (member (skS.0 0 a) universal_class) False
% 3.83/3.98  Clause #56 (by clausification #[54]): ∀ (a : Iota), Eq (singleton (member_of (skS.0 0 a))) (skS.0 0 a)
% 3.83/3.98  Clause #73 (by clausification #[4]): ∀ (a : Iota), Eq (∀ (Y : Iota), member (unordered_pair a Y) universal_class) True
% 3.83/3.98  Clause #74 (by clausification #[73]): ∀ (a a_1 : Iota), Eq (member (unordered_pair a a_1) universal_class) True
% 3.83/3.98  Clause #97 (by clausification #[5]): ∀ (a : Iota), Eq (Eq (singleton a) (unordered_pair a a)) True
% 3.83/3.98  Clause #98 (by clausification #[97]): ∀ (a : Iota), Eq (singleton a) (unordered_pair a a)
% 3.83/3.98  Clause #99 (by superposition #[98, 74]): ∀ (a : Iota), Eq (member (singleton a) universal_class) True
% 3.83/3.98  Clause #116 (by superposition #[99, 56]): ∀ (a : Iota), Eq (member (skS.0 0 a) universal_class) True
% 3.83/3.98  Clause #255 (by superposition #[116, 55]): Eq True False
% 3.83/3.98  Clause #263 (by clausification #[255]): False
% 3.83/3.98  SZS output end Proof for theBenchmark.p
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