%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : ITP177^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n026.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 03:39:07 EDT 2023

% Result   : Theorem 4.33s 4.51s
% Output   : Proof 4.33s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : ITP177^1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.13  % Command    : duper %s
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sun Aug 27 16:42:49 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 4.33/4.51  SZS status Theorem for theBenchmark.p
% 4.33/4.51  SZS output start Proof for theBenchmark.p
% 4.33/4.51  Clause #0 (by assumption #[]): Eq (∀ (Xa : b), member_b (f Xa) (labele1424214014nt_a_b g) → member_b Xa (labele1424214014nt_a_b g)) True
% 4.33/4.51  Clause #2 (by assumption #[]): Eq (member_b (f x) (labele1424214014nt_a_b g)) True
% 4.33/4.51  Clause #341 (by assumption #[]): Eq (Not (member_b x (labele1424214014nt_a_b g))) True
% 4.33/4.51  Clause #344 (by clausification #[0]): ∀ (a : b), Eq (member_b (f a) (labele1424214014nt_a_b g) → member_b a (labele1424214014nt_a_b g)) True
% 4.33/4.51  Clause #345 (by clausification #[344]): ∀ (a : b), Or (Eq (member_b (f a) (labele1424214014nt_a_b g)) False) (Eq (member_b a (labele1424214014nt_a_b g)) True)
% 4.33/4.51  Clause #346 (by clausification #[341]): Eq (member_b x (labele1424214014nt_a_b g)) False
% 4.33/4.51  Clause #445 (by superposition #[2, 345]): Or (Eq (member_b x (labele1424214014nt_a_b g)) True) (Eq False True)
% 4.33/4.51  Clause #916 (by clausification #[445]): Eq (member_b x (labele1424214014nt_a_b g)) True
% 4.33/4.51  Clause #917 (by superposition #[916, 346]): Eq True False
% 4.33/4.51  Clause #937 (by clausification #[917]): False
% 4.33/4.51  SZS output end Proof for theBenchmark.p
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