TSTP Solution File: SET077+1 by Duper---1.0

View Problem - Process Solution

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% File     : Duper---1.0
% Problem  : SET077+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n005.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 14:45:30 EDT 2023

% Result   : Theorem 3.41s 3.61s
% Output   : Proof 3.41s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.15  % Problem    : SET077+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.11/0.16  % Command    : duper %s
% 0.17/0.36  % Computer : n005.cluster.edu
% 0.17/0.36  % Model    : x86_64 x86_64
% 0.17/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.36  % Memory   : 8042.1875MB
% 0.17/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.36  % CPULimit   : 300
% 0.17/0.36  % WCLimit    : 300
% 0.17/0.36  % DateTime   : Sat Aug 26 14:33:38 EDT 2023
% 0.17/0.36  % CPUTime    : 
% 3.41/3.61  SZS status Theorem for theBenchmark.p
% 3.41/3.61  SZS output start Proof for theBenchmark.p
% 3.41/3.61  Clause #4 (by assumption #[]): Eq (∀ (X Y : Iota), member (unordered_pair X Y) universal_class) True
% 3.41/3.61  Clause #5 (by assumption #[]): Eq (∀ (X : Iota), Eq (singleton X) (unordered_pair X X)) True
% 3.41/3.61  Clause #43 (by assumption #[]): Eq (Not (∀ (X : Iota), member (singleton X) universal_class)) True
% 3.41/3.61  Clause #63 (by clausification #[43]): Eq (∀ (X : Iota), member (singleton X) universal_class) False
% 3.41/3.61  Clause #64 (by clausification #[63]): ∀ (a : Iota), Eq (Not (member (singleton (skS.0 1 a)) universal_class)) True
% 3.41/3.61  Clause #65 (by clausification #[64]): ∀ (a : Iota), Eq (member (singleton (skS.0 1 a)) universal_class) False
% 3.41/3.61  Clause #66 (by clausification #[4]): ∀ (a : Iota), Eq (∀ (Y : Iota), member (unordered_pair a Y) universal_class) True
% 3.41/3.61  Clause #67 (by clausification #[66]): ∀ (a a_1 : Iota), Eq (member (unordered_pair a a_1) universal_class) True
% 3.41/3.61  Clause #70 (by clausification #[5]): ∀ (a : Iota), Eq (Eq (singleton a) (unordered_pair a a)) True
% 3.41/3.61  Clause #71 (by clausification #[70]): ∀ (a : Iota), Eq (singleton a) (unordered_pair a a)
% 3.41/3.61  Clause #72 (by superposition #[71, 67]): ∀ (a : Iota), Eq (member (singleton a) universal_class) True
% 3.41/3.61  Clause #83 (by superposition #[72, 65]): Eq True False
% 3.41/3.61  Clause #86 (by clausification #[83]): False
% 3.41/3.61  SZS output end Proof for theBenchmark.p
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