%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : SEU115+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n029.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 16:40:15 EDT 2023

% Result   : Theorem 3.43s 3.62s
% Output   : Proof 3.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SEU115+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14  % Command    : duper %s
% 0.13/0.34  % Computer : n029.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
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Wed Aug 23 15:54:53 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 3.43/3.62  SZS status Theorem for theBenchmark.p
% 3.43/3.62  SZS output start Proof for theBenchmark.p
% 3.43/3.62  Clause #9 (by assumption #[]): Eq (∀ (A : Iota), empty A → finite A) True
% 3.43/3.62  Clause #27 (by assumption #[]): Eq (empty empty_set) True
% 3.43/3.62  Clause #31 (by assumption #[]): Eq (Not (Eq (finite_subsets empty_set) (singleton empty_set))) True
% 3.43/3.62  Clause #32 (by assumption #[]): Eq (∀ (A : Iota), finite A → Eq (finite_subsets A) (powerset A)) True
% 3.43/3.62  Clause #33 (by assumption #[]): Eq (Eq (powerset empty_set) (singleton empty_set)) True
% 3.43/3.62  Clause #38 (by clausification #[9]): ∀ (a : Iota), Eq (empty a → finite a) True
% 3.43/3.62  Clause #39 (by clausification #[38]): ∀ (a : Iota), Or (Eq (empty a) False) (Eq (finite a) True)
% 3.43/3.62  Clause #40 (by superposition #[39, 27]): Or (Eq (finite empty_set) True) (Eq False True)
% 3.43/3.62  Clause #41 (by clausification #[40]): Eq (finite empty_set) True
% 3.43/3.62  Clause #60 (by clausification #[33]): Eq (powerset empty_set) (singleton empty_set)
% 3.43/3.62  Clause #98 (by clausification #[31]): Eq (Eq (finite_subsets empty_set) (singleton empty_set)) False
% 3.43/3.62  Clause #99 (by clausification #[98]): Ne (finite_subsets empty_set) (singleton empty_set)
% 3.43/3.62  Clause #100 (by forward demodulation #[99, 60]): Ne (finite_subsets empty_set) (powerset empty_set)
% 3.43/3.62  Clause #105 (by clausification #[32]): ∀ (a : Iota), Eq (finite a → Eq (finite_subsets a) (powerset a)) True
% 3.43/3.62  Clause #106 (by clausification #[105]): ∀ (a : Iota), Or (Eq (finite a) False) (Eq (Eq (finite_subsets a) (powerset a)) True)
% 3.43/3.62  Clause #107 (by clausification #[106]): ∀ (a : Iota), Or (Eq (finite a) False) (Eq (finite_subsets a) (powerset a))
% 3.43/3.62  Clause #108 (by superposition #[107, 41]): Or (Eq (finite_subsets empty_set) (powerset empty_set)) (Eq False True)
% 3.43/3.62  Clause #109 (by clausification #[108]): Eq (finite_subsets empty_set) (powerset empty_set)
% 3.43/3.62  Clause #110 (by forward contextual literal cutting #[109, 100]): False
% 3.43/3.62  SZS output end Proof for theBenchmark.p
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