%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : SEV427^1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n023.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 19:24:57 EDT 2023

% Result   : Theorem 3.65s 3.86s
% Output   : Proof 3.65s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem    : SEV427^1 : TPTP v8.1.2. Released v5.2.0.
% 0.08/0.15  % Command    : duper %s
% 0.16/0.36  % Computer : n023.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   : Thu Aug 24 03:51:57 EDT 2023
% 0.16/0.37  % CPUTime    : 
% 3.65/3.86  SZS status Theorem for theBenchmark.p
% 3.65/3.86  SZS output start Proof for theBenchmark.p
% 3.65/3.86  Clause #0 (by assumption #[]): Eq (∀ (P : Iota → Prop), (Exists fun X => P X) → P (eps P)) True
% 3.65/3.86  Clause #1 (by assumption #[]): Eq (∀ (X : Iota), Or (p X) (q X)) True
% 3.65/3.86  Clause #2 (by assumption #[]): Eq (Not (Or (p (eps p)) (q (eps q)))) True
% 3.65/3.86  Clause #3 (by betaEtaReduce #[0]): Eq (∀ (P : Iota → Prop), Exists P → P (eps P)) True
% 3.65/3.86  Clause #4 (by clausification #[3]): ∀ (a : Iota → Prop), Eq (Exists a → a (eps a)) True
% 3.65/3.86  Clause #5 (by clausification #[4]): ∀ (a : Iota → Prop), Or (Eq (Exists a) False) (Eq (a (eps a)) True)
% 3.65/3.86  Clause #6 (by clausification #[5]): ∀ (a : Iota → Prop) (a_1 : Iota), Or (Eq (a (eps a)) True) (Eq (a a_1) False)
% 3.65/3.86  Clause #15 (by clausification #[1]): ∀ (a : Iota), Eq (Or (p a) (q a)) True
% 3.65/3.86  Clause #16 (by clausification #[15]): ∀ (a : Iota), Or (Eq (p a) True) (Eq (q a) True)
% 3.65/3.86  Clause #21 (by clausification #[2]): Eq (Or (p (eps p)) (q (eps q))) False
% 3.65/3.86  Clause #22 (by clausification #[21]): Eq (q (eps q)) False
% 3.65/3.86  Clause #23 (by clausification #[21]): Eq (p (eps p)) False
% 3.65/3.86  Clause #27 (by superposition #[23, 16]): Or (Eq False True) (Eq (q (eps p)) True)
% 3.65/3.86  Clause #32 (by clausification #[27]): Eq (q (eps p)) True
% 3.65/3.86  Clause #34 (by fluidSup #[32, 6]): ∀ (a : Iota → Prop) (a_1 : Prop → Iota), Or (Eq (a (eps a)) True) (Eq (a (a_1 True)) False)
% 3.65/3.86  Clause #71 (by superposition #[34, 32]): Or (Eq ((fun x => q x) (eps fun x => q x)) True) (Eq False True)
% 3.65/3.86  Clause #74 (by betaEtaReduce #[71]): Or (Eq (q (eps q)) True) (Eq False True)
% 3.65/3.86  Clause #75 (by clausification #[74]): Eq (q (eps q)) True
% 3.65/3.86  Clause #76 (by superposition #[75, 22]): Eq True False
% 3.65/3.86  Clause #98 (by clausification #[76]): False
% 3.65/3.86  SZS output end Proof for theBenchmark.p
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