%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : SEU956^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n024.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 16:44:24 EDT 2023

% Result   : Theorem 3.54s 3.73s
% Output   : Proof 3.54s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SEU956^5 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14  % Command    : duper %s
% 0.15/0.35  % Computer : n024.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Thu Aug 24 00:02:54 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 3.54/3.73  SZS status Theorem for theBenchmark.p
% 3.54/3.73  SZS output start Proof for theBenchmark.p
% 3.54/3.73  Clause #0 (by assumption #[]): Eq
% 3.54/3.73    (Not
% 3.54/3.73      ((∀ (R S : Iota → Prop), Eq R S → ∀ (X : Iota), S X → R X) →
% 3.54/3.73        ∀ (Xx Xy : Iota), (Eq (fun Y => Eq Xx Y) fun Y => Eq Xy Y) → Eq Xx Xy))
% 3.54/3.73    True
% 3.54/3.73  Clause #1 (by betaEtaReduce #[0]): Eq (Not ((∀ (R S : Iota → Prop), Eq R S → ∀ (X : Iota), S X → R X) → ∀ (Xx Xy : Iota), Eq (Eq Xx) (Eq Xy) → Eq Xx Xy))
% 3.54/3.73    True
% 3.54/3.73  Clause #2 (by clausification #[1]): Eq ((∀ (R S : Iota → Prop), Eq R S → ∀ (X : Iota), S X → R X) → ∀ (Xx Xy : Iota), Eq (Eq Xx) (Eq Xy) → Eq Xx Xy) False
% 3.54/3.73  Clause #4 (by clausification #[2]): Eq (∀ (Xx Xy : Iota), Eq (Eq Xx) (Eq Xy) → Eq Xx Xy) False
% 3.54/3.73  Clause #12 (by clausification #[4]): ∀ (a : Iota), Eq (Not (∀ (Xy : Iota), Eq (Eq (skS.0 0 a)) (Eq Xy) → Eq (skS.0 0 a) Xy)) True
% 3.54/3.73  Clause #13 (by clausification #[12]): ∀ (a : Iota), Eq (∀ (Xy : Iota), Eq (Eq (skS.0 0 a)) (Eq Xy) → Eq (skS.0 0 a) Xy) False
% 3.54/3.73  Clause #14 (by clausification #[13]): ∀ (a a_1 : Iota), Eq (Not (Eq (Eq (skS.0 0 a)) (Eq (skS.0 1 a a_1)) → Eq (skS.0 0 a) (skS.0 1 a a_1))) True
% 3.54/3.73  Clause #15 (by clausification #[14]): ∀ (a a_1 : Iota), Eq (Eq (Eq (skS.0 0 a)) (Eq (skS.0 1 a a_1)) → Eq (skS.0 0 a) (skS.0 1 a a_1)) False
% 3.54/3.73  Clause #16 (by clausification #[15]): ∀ (a a_1 : Iota), Eq (Eq (Eq (skS.0 0 a)) (Eq (skS.0 1 a a_1))) True
% 3.54/3.73  Clause #17 (by clausification #[15]): ∀ (a a_1 : Iota), Eq (Eq (skS.0 0 a) (skS.0 1 a a_1)) False
% 3.54/3.73  Clause #18 (by clausification #[16]): ∀ (a a_1 : Iota), Eq (Eq (skS.0 0 a)) (Eq (skS.0 1 a a_1))
% 3.54/3.73  Clause #19 (by argument congruence #[18]): ∀ (a a_1 a_2 : Iota), Eq (Eq (skS.0 0 a) a_1) (Eq (skS.0 1 a a_2) a_1)
% 3.54/3.73  Clause #20 (by clausification #[17]): ∀ (a a_1 : Iota), Ne (skS.0 0 a) (skS.0 1 a a_1)
% 3.54/3.73  Clause #23 (by eqHoist #[19]): ∀ (a a_1 a_2 : Iota), Or (Eq (Eq (skS.0 0 a) a_1) False) (Eq (skS.0 1 a a_2) a_1)
% 3.54/3.73  Clause #24 (by clausification #[23]): ∀ (a a_1 a_2 : Iota), Or (Eq (skS.0 1 a a_1) a_2) (Ne (skS.0 0 a) a_2)
% 3.54/3.73  Clause #25 (by destructive equality resolution #[24]): ∀ (a a_1 : Iota), Eq (skS.0 1 a a_1) (skS.0 0 a)
% 3.54/3.73  Clause #26 (by forward contextual literal cutting #[25, 20]): False
% 3.54/3.73  SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------