%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : SYO139^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n002.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 : Fri Sep  1 04:21:37 EDT 2023

% Result   : Theorem 3.72s 3.96s
% Output   : Proof 3.72s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYO139^5 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13  % Command    : duper %s
% 0.13/0.34  % Computer : n002.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   : Sat Aug 26 07:23:48 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 3.72/3.96  SZS status Theorem for theBenchmark.p
% 3.72/3.96  SZS output start Proof for theBenchmark.p
% 3.72/3.96  Clause #0 (by assumption #[]): Eq (Not (Exists fun Xy => Or (And (Exists fun Xx => Or (cP Xx) (Not (cP Xx))) (cQ Xy)) (Not (cQ Xy)))) True
% 3.72/3.96  Clause #1 (by clausification #[0]): Eq (Exists fun Xy => Or (And (Exists fun Xx => Or (cP Xx) (Not (cP Xx))) (cQ Xy)) (Not (cQ Xy))) False
% 3.72/3.96  Clause #2 (by clausification #[1]): ∀ (a : Iota), Eq (Or (And (Exists fun Xx => Or (cP Xx) (Not (cP Xx))) (cQ a)) (Not (cQ a))) False
% 3.72/3.96  Clause #3 (by clausification #[2]): ∀ (a : Iota), Eq (Not (cQ a)) False
% 3.72/3.96  Clause #4 (by clausification #[2]): ∀ (a : Iota), Eq (And (Exists fun Xx => Or (cP Xx) (Not (cP Xx))) (cQ a)) False
% 3.72/3.96  Clause #5 (by clausification #[3]): ∀ (a : Iota), Eq (cQ a) True
% 3.72/3.96  Clause #6 (by clausification #[4]): ∀ (a : Iota), Or (Eq (Exists fun Xx => Or (cP Xx) (Not (cP Xx))) False) (Eq (cQ a) False)
% 3.72/3.96  Clause #7 (by clausification #[6]): ∀ (a a_1 : Iota), Or (Eq (cQ a) False) (Eq (Or (cP a_1) (Not (cP a_1))) False)
% 3.72/3.96  Clause #8 (by clausification #[7]): ∀ (a a_1 : Iota), Or (Eq (cQ a) False) (Eq (Not (cP a_1)) False)
% 3.72/3.96  Clause #9 (by clausification #[7]): ∀ (a a_1 : Iota), Or (Eq (cQ a) False) (Eq (cP a_1) False)
% 3.72/3.96  Clause #10 (by clausification #[8]): ∀ (a a_1 : Iota), Or (Eq (cQ a) False) (Eq (cP a_1) True)
% 3.72/3.96  Clause #11 (by superposition #[10, 5]): ∀ (a : Iota), Or (Eq (cP a) True) (Eq False True)
% 3.72/3.96  Clause #12 (by clausification #[11]): ∀ (a : Iota), Eq (cP a) True
% 3.72/3.96  Clause #13 (by superposition #[9, 5]): ∀ (a : Iota), Or (Eq (cP a) False) (Eq False True)
% 3.72/3.96  Clause #14 (by clausification #[13]): ∀ (a : Iota), Eq (cP a) False
% 3.72/3.96  Clause #15 (by superposition #[14, 12]): Eq False True
% 3.72/3.96  Clause #16 (by clausification #[15]): False
% 3.72/3.96  SZS output end Proof for theBenchmark.p
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