%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : SYO306^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n018.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 04:22:07 EDT 2023

% Result   : Theorem 3.64s 3.88s
% Output   : Proof 3.64s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYO306^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command    : duper %s
% 0.17/0.34  % Computer : n018.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit   : 300
% 0.17/0.34  % WCLimit    : 300
% 0.17/0.34  % DateTime   : Sat Aug 26 04:24:29 EDT 2023
% 0.17/0.34  % CPUTime    : 
% 3.64/3.88  SZS status Theorem for theBenchmark.p
% 3.64/3.88  SZS output start Proof for theBenchmark.p
% 3.64/3.88  Clause #0 (by assumption #[]): Eq
% 3.64/3.88    (Not
% 3.64/3.88      ((∀ (P : Iota → Prop), (∀ (Xx : Iota), P Xx) → ∀ (Xx : Iota), P Xx) →
% 3.64/3.88        (∀ (Xx : Iota), And (cS Xx) (cT Xx)) → ∀ (Xx : Iota), And (cS Xx) (cT Xx)))
% 3.64/3.88    True
% 3.64/3.88  Clause #1 (by clausification #[0]): Eq
% 3.64/3.88    ((∀ (P : Iota → Prop), (∀ (Xx : Iota), P Xx) → ∀ (Xx : Iota), P Xx) →
% 3.64/3.88      (∀ (Xx : Iota), And (cS Xx) (cT Xx)) → ∀ (Xx : Iota), And (cS Xx) (cT Xx))
% 3.64/3.88    False
% 3.64/3.88  Clause #3 (by clausification #[1]): Eq ((∀ (Xx : Iota), And (cS Xx) (cT Xx)) → ∀ (Xx : Iota), And (cS Xx) (cT Xx)) False
% 3.64/3.88  Clause #17 (by clausification #[3]): Eq (∀ (Xx : Iota), And (cS Xx) (cT Xx)) True
% 3.64/3.88  Clause #18 (by clausification #[3]): Eq (∀ (Xx : Iota), And (cS Xx) (cT Xx)) False
% 3.64/3.88  Clause #19 (by clausification #[17]): ∀ (a : Iota), Eq (And (cS a) (cT a)) True
% 3.64/3.88  Clause #20 (by clausification #[19]): ∀ (a : Iota), Eq (cT a) True
% 3.64/3.88  Clause #21 (by clausification #[19]): ∀ (a : Iota), Eq (cS a) True
% 3.64/3.88  Clause #29 (by clausification #[18]): ∀ (a : Iota), Eq (Not (And (cS (skS.0 1 a)) (cT (skS.0 1 a)))) True
% 3.64/3.88  Clause #30 (by clausification #[29]): ∀ (a : Iota), Eq (And (cS (skS.0 1 a)) (cT (skS.0 1 a))) False
% 3.64/3.88  Clause #31 (by clausification #[30]): ∀ (a : Iota), Or (Eq (cS (skS.0 1 a)) False) (Eq (cT (skS.0 1 a)) False)
% 3.64/3.88  Clause #32 (by forward demodulation #[31, 21]): ∀ (a : Iota), Or (Eq True False) (Eq (cT (skS.0 1 a)) False)
% 3.64/3.88  Clause #33 (by clausification #[32]): ∀ (a : Iota), Eq (cT (skS.0 1 a)) False
% 3.64/3.88  Clause #34 (by superposition #[33, 20]): Eq False True
% 3.64/3.88  Clause #37 (by clausification #[34]): False
% 3.64/3.88  SZS output end Proof for theBenchmark.p
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