%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : SYN355^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n022.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 02:11:22 EDT 2023

% Result   : Theorem 3.41s 3.58s
% Output   : Proof 3.41s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN355^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command    : duper %s
% 0.14/0.35  % Computer : n022.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sat Aug 26 18:06:55 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 3.41/3.58  SZS status Theorem for theBenchmark.p
% 3.41/3.58  SZS output start Proof for theBenchmark.p
% 3.41/3.58  Clause #0 (by assumption #[]): Eq (Not (And (∀ (Xx : Iota), cR Xx → cP Xx) (∀ (Xx : Iota), Not (cQ Xx) → cR Xx) → ∀ (Xx : Iota), Or (cP Xx) (cQ Xx)))
% 3.41/3.58    True
% 3.41/3.58  Clause #1 (by clausification #[0]): Eq (And (∀ (Xx : Iota), cR Xx → cP Xx) (∀ (Xx : Iota), Not (cQ Xx) → cR Xx) → ∀ (Xx : Iota), Or (cP Xx) (cQ Xx)) False
% 3.41/3.58  Clause #2 (by clausification #[1]): Eq (And (∀ (Xx : Iota), cR Xx → cP Xx) (∀ (Xx : Iota), Not (cQ Xx) → cR Xx)) True
% 3.41/3.58  Clause #3 (by clausification #[1]): Eq (∀ (Xx : Iota), Or (cP Xx) (cQ Xx)) False
% 3.41/3.58  Clause #4 (by clausification #[2]): Eq (∀ (Xx : Iota), Not (cQ Xx) → cR Xx) True
% 3.41/3.58  Clause #5 (by clausification #[2]): Eq (∀ (Xx : Iota), cR Xx → cP Xx) True
% 3.41/3.58  Clause #6 (by clausification #[4]): ∀ (a : Iota), Eq (Not (cQ a) → cR a) True
% 3.41/3.58  Clause #7 (by clausification #[6]): ∀ (a : Iota), Or (Eq (Not (cQ a)) False) (Eq (cR a) True)
% 3.41/3.58  Clause #8 (by clausification #[7]): ∀ (a : Iota), Or (Eq (cR a) True) (Eq (cQ a) True)
% 3.41/3.58  Clause #9 (by clausification #[5]): ∀ (a : Iota), Eq (cR a → cP a) True
% 3.41/3.58  Clause #10 (by clausification #[9]): ∀ (a : Iota), Or (Eq (cR a) False) (Eq (cP a) True)
% 3.41/3.58  Clause #11 (by superposition #[10, 8]): ∀ (a : Iota), Or (Eq (cP a) True) (Or (Eq False True) (Eq (cQ a) True))
% 3.41/3.58  Clause #12 (by clausification #[3]): ∀ (a : Iota), Eq (Not (Or (cP (skS.0 0 a)) (cQ (skS.0 0 a)))) True
% 3.41/3.58  Clause #13 (by clausification #[12]): ∀ (a : Iota), Eq (Or (cP (skS.0 0 a)) (cQ (skS.0 0 a))) False
% 3.41/3.58  Clause #14 (by clausification #[13]): ∀ (a : Iota), Eq (cQ (skS.0 0 a)) False
% 3.41/3.58  Clause #15 (by clausification #[13]): ∀ (a : Iota), Eq (cP (skS.0 0 a)) False
% 3.41/3.58  Clause #16 (by clausification #[11]): ∀ (a : Iota), Or (Eq (cP a) True) (Eq (cQ a) True)
% 3.41/3.58  Clause #17 (by superposition #[16, 15]): ∀ (a : Iota), Or (Eq (cQ (skS.0 0 a)) True) (Eq True False)
% 3.41/3.58  Clause #18 (by clausification #[17]): ∀ (a : Iota), Eq (cQ (skS.0 0 a)) True
% 3.41/3.58  Clause #19 (by superposition #[18, 14]): Eq True False
% 3.41/3.58  Clause #20 (by clausification #[19]): False
% 3.41/3.58  SZS output end Proof for theBenchmark.p
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