%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : NUM635^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n031.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 10:56:38 EDT 2023

% Result   : Theorem 3.73s 3.90s
% Output   : Proof 3.73s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : NUM635^2 : TPTP v8.1.2. Released v3.7.0.
% 0.12/0.14  % Command    : duper %s
% 0.14/0.36  % Computer : n031.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
% 0.14/0.36  % DateTime   : Fri Aug 25 13:05:22 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 3.73/3.90  SZS status Theorem for theBenchmark.p
% 3.73/3.90  SZS output start Proof for theBenchmark.p
% 3.73/3.90  Clause #1 (by assumption #[]): Eq (∀ (X Y : Iota), Eq (succ X) (succ Y) → Eq X Y) True
% 3.73/3.90  Clause #3 (by assumption #[]): Eq (Not (∀ (X Y : Iota), Ne X Y → Ne (succ X) (succ Y))) True
% 3.73/3.90  Clause #23 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (Y : Iota), Eq (succ a) (succ Y) → Eq a Y) True
% 3.73/3.90  Clause #24 (by clausification #[23]): ∀ (a a_1 : Iota), Eq (Eq (succ a) (succ a_1) → Eq a a_1) True
% 3.73/3.90  Clause #25 (by clausification #[24]): ∀ (a a_1 : Iota), Or (Eq (Eq (succ a) (succ a_1)) False) (Eq (Eq a a_1) True)
% 3.73/3.90  Clause #26 (by clausification #[25]): ∀ (a a_1 : Iota), Or (Eq (Eq a a_1) True) (Ne (succ a) (succ a_1))
% 3.73/3.90  Clause #27 (by clausification #[26]): ∀ (a a_1 : Iota), Or (Ne (succ a) (succ a_1)) (Eq a a_1)
% 3.73/3.90  Clause #29 (by clausification #[3]): Eq (∀ (X Y : Iota), Ne X Y → Ne (succ X) (succ Y)) False
% 3.73/3.90  Clause #30 (by clausification #[29]): ∀ (a : Iota), Eq (Not (∀ (Y : Iota), Ne (skS.0 1 a) Y → Ne (succ (skS.0 1 a)) (succ Y))) True
% 3.73/3.90  Clause #31 (by clausification #[30]): ∀ (a : Iota), Eq (∀ (Y : Iota), Ne (skS.0 1 a) Y → Ne (succ (skS.0 1 a)) (succ Y)) False
% 3.73/3.90  Clause #32 (by clausification #[31]): ∀ (a a_1 : Iota), Eq (Not (Ne (skS.0 1 a) (skS.0 2 a a_1) → Ne (succ (skS.0 1 a)) (succ (skS.0 2 a a_1)))) True
% 3.73/3.90  Clause #33 (by clausification #[32]): ∀ (a a_1 : Iota), Eq (Ne (skS.0 1 a) (skS.0 2 a a_1) → Ne (succ (skS.0 1 a)) (succ (skS.0 2 a a_1))) False
% 3.73/3.90  Clause #34 (by clausification #[33]): ∀ (a a_1 : Iota), Eq (Ne (skS.0 1 a) (skS.0 2 a a_1)) True
% 3.73/3.90  Clause #35 (by clausification #[33]): ∀ (a a_1 : Iota), Eq (Ne (succ (skS.0 1 a)) (succ (skS.0 2 a a_1))) False
% 3.73/3.90  Clause #36 (by clausification #[34]): ∀ (a a_1 : Iota), Ne (skS.0 1 a) (skS.0 2 a a_1)
% 3.73/3.90  Clause #53 (by clausification #[35]): ∀ (a a_1 : Iota), Eq (succ (skS.0 1 a)) (succ (skS.0 2 a a_1))
% 3.73/3.90  Clause #56 (by superposition #[53, 27]): ∀ (a a_1 a_2 : Iota), Or (Ne (succ a) (succ (skS.0 1 a_1))) (Eq a (skS.0 2 a_1 a_2))
% 3.73/3.90  Clause #64 (by equality resolution #[56]): ∀ (a a_1 : Iota), Eq (skS.0 1 a) (skS.0 2 a a_1)
% 3.73/3.90  Clause #70 (by forward contextual literal cutting #[64, 36]): False
% 3.73/3.90  SZS output end Proof for theBenchmark.p
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