%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : SEV272^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n019.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 19:24:38 EDT 2023

% Result   : Theorem 3.61s 3.79s
% Output   : Proof 3.61s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SEV272^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% 0.00/0.14  % Command    : duper %s
% 0.14/0.36  % Computer : n019.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.21/0.36  % DateTime   : Thu Aug 24 03:49:59 EDT 2023
% 0.21/0.36  % CPUTime    : 
% 3.61/3.79  SZS status Theorem for theBenchmark.p
% 3.61/3.79  SZS output start Proof for theBenchmark.p
% 3.61/3.79  Clause #2 (by assumption #[]): Eq
% 3.61/3.79    (Not
% 3.61/3.79      (Eq
% 3.61/3.79        (fun N =>
% 3.61/3.79          ∀ (P : ((Iota → Prop) → Prop) → Prop), And (P cZERO) (∀ (X : (Iota → Prop) → Prop), P X → P (cSUCC X)) → P N)
% 3.61/3.79        fun Xx =>
% 3.61/3.79        ∀ (S : ((Iota → Prop) → Prop) → Prop), And (S cZERO) (∀ (X : (Iota → Prop) → Prop), S X → S (cSUCC X)) → S Xx))
% 3.61/3.79    True
% 3.61/3.79  Clause #133 (by clausification #[2]): Eq
% 3.61/3.79    (Eq
% 3.61/3.79      (fun N =>
% 3.61/3.79        ∀ (P : ((Iota → Prop) → Prop) → Prop), And (P cZERO) (∀ (X : (Iota → Prop) → Prop), P X → P (cSUCC X)) → P N)
% 3.61/3.79      fun Xx =>
% 3.61/3.79      ∀ (S : ((Iota → Prop) → Prop) → Prop), And (S cZERO) (∀ (X : (Iota → Prop) → Prop), S X → S (cSUCC X)) → S Xx)
% 3.61/3.79    False
% 3.61/3.79  Clause #134 (by clausification #[133]): Ne
% 3.61/3.79    (fun N =>
% 3.61/3.79      ∀ (P : ((Iota → Prop) → Prop) → Prop), And (P cZERO) (∀ (X : (Iota → Prop) → Prop), P X → P (cSUCC X)) → P N)
% 3.61/3.79    fun Xx =>
% 3.61/3.79    ∀ (S : ((Iota → Prop) → Prop) → Prop), And (S cZERO) (∀ (X : (Iota → Prop) → Prop), S X → S (cSUCC X)) → S Xx
% 3.61/3.79  Clause #135 (by eliminate resolved literals #[134]): False
% 3.61/3.79  SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------