%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : SYO257^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n005.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 04:21:59 EDT 2023

% Result   : Theorem 3.56s 3.77s
% Output   : Proof 3.56s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem    : SYO257^5 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.13  % Command    : duper %s
% 0.12/0.34  % Computer : n005.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Fri Aug 25 23:45:08 EDT 2023
% 0.12/0.34  % CPUTime    : 
% 3.56/3.77  SZS status Theorem for theBenchmark.p
% 3.56/3.77  SZS output start Proof for theBenchmark.p
% 3.56/3.77  Clause #0 (by assumption #[]): Eq
% 3.56/3.77    (Not
% 3.56/3.77      (Exists fun Xx =>
% 3.56/3.77        ∀ (Xy : Iota), (∀ (Xf : Iota → Iota) (Xz : Iota), And (cP Xz (Xf Xx)) (cP Xx Xy)) → cP Xy (g (h Xy))))
% 3.56/3.77    True
% 3.56/3.77  Clause #1 (by clausification #[0]): Eq
% 3.56/3.77    (Exists fun Xx =>
% 3.56/3.77      ∀ (Xy : Iota), (∀ (Xf : Iota → Iota) (Xz : Iota), And (cP Xz (Xf Xx)) (cP Xx Xy)) → cP Xy (g (h Xy)))
% 3.56/3.77    False
% 3.56/3.77  Clause #2 (by clausification #[1]): ∀ (a : Iota),
% 3.56/3.77    Eq (∀ (Xy : Iota), (∀ (Xf : Iota → Iota) (Xz : Iota), And (cP Xz (Xf a)) (cP a Xy)) → cP Xy (g (h Xy))) False
% 3.56/3.77  Clause #3 (by clausification #[2]): ∀ (a a_1 : Iota),
% 3.56/3.77    Eq
% 3.56/3.77      (Not
% 3.56/3.77        ((∀ (Xf : Iota → Iota) (Xz : Iota), And (cP Xz (Xf a)) (cP a (skS.0 0 a a_1))) →
% 3.56/3.77          cP (skS.0 0 a a_1) (g (h (skS.0 0 a a_1)))))
% 3.56/3.77      True
% 3.56/3.77  Clause #4 (by clausification #[3]): ∀ (a a_1 : Iota),
% 3.56/3.77    Eq
% 3.56/3.77      ((∀ (Xf : Iota → Iota) (Xz : Iota), And (cP Xz (Xf a)) (cP a (skS.0 0 a a_1))) →
% 3.56/3.77        cP (skS.0 0 a a_1) (g (h (skS.0 0 a a_1))))
% 3.56/3.77      False
% 3.56/3.77  Clause #5 (by clausification #[4]): ∀ (a a_1 : Iota), Eq (∀ (Xf : Iota → Iota) (Xz : Iota), And (cP Xz (Xf a)) (cP a (skS.0 0 a a_1))) True
% 3.56/3.77  Clause #6 (by clausification #[4]): ∀ (a a_1 : Iota), Eq (cP (skS.0 0 a a_1) (g (h (skS.0 0 a a_1)))) False
% 3.56/3.77  Clause #7 (by clausification #[5]): ∀ (a : Iota → Iota) (a_1 a_2 : Iota), Eq (∀ (Xz : Iota), And (cP Xz (a a_1)) (cP a_1 (skS.0 0 a_1 a_2))) True
% 3.56/3.77  Clause #8 (by clausification #[7]): ∀ (a : Iota) (a_1 : Iota → Iota) (a_2 a_3 : Iota), Eq (And (cP a (a_1 a_2)) (cP a_2 (skS.0 0 a_2 a_3))) True
% 3.56/3.77  Clause #10 (by clausification #[8]): ∀ (a : Iota) (a_1 : Iota → Iota) (a_2 : Iota), Eq (cP a (a_1 a_2)) True
% 3.56/3.77  Clause #25 (by superposition #[6, 10]): Eq True False
% 3.56/3.77  Clause #27 (by clausification #[25]): False
% 3.56/3.77  SZS output end Proof for theBenchmark.p
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