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Duper---1.0.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : KRS098+1 : TPTP v9.2.0. Released v3.1.0.
% 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 : Fri Oct  3 07:52:37 PM UTC 2025

% Result   : Unsatisfiable 5.66s 5.86s
% Output   : Proof 5.74s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : KRS098+1 : TPTP v9.2.0. Released v3.1.0.
% 0.11/0.13  % Command    : duper %s
% 0.13/0.34  % Computer : n019.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Thu Oct  2 10:09:38 EDT 2025
% 0.13/0.34  % CPUTime    : 
% 5.66/5.86  SZS status Theorem for theBenchmark.p
% 5.66/5.86  SZS output start Proof for theBenchmark.p
% 5.66/5.86  Clause #27 (by assumption #[]): Eq
% 5.66/5.86    (∀ (X : Iota),
% 5.66/5.86      Iff (cUnsatisfiable X)
% 5.66/5.86        (And
% 5.66/5.86          (And
% 5.66/5.86            (And
% 5.66/5.86              (Exists fun Y =>
% 5.66/5.86                And (And (rr3 X Y) (Exists fun Z => And (rt3 Y Z) (ce Z)))
% 5.66/5.86                  (∀ (Z0 Z1 : Iota), And (rtt Y Z0) (rtt Y Z1) → Eq Z0 Z1))
% 5.66/5.86              (Exists fun Y =>
% 5.66/5.86                And (And (rr2 X Y) (∀ (Z0 Z1 : Iota), And (rtt Y Z0) (rtt Y Z1) → Eq Z0 Z1))
% 5.66/5.86                  (Exists fun Z => And (rt2 Y Z) (cd Z))))
% 5.66/5.86            (Not (Exists fun Y0 => Exists fun Y1 => And (And (rr X Y0) (rr X Y1)) (Ne Y0 Y1))))
% 5.66/5.86          (Exists fun Y =>
% 5.66/5.86            And (And (rr1 X Y) (∀ (Z0 Z1 : Iota), And (rtt Y Z0) (rtt Y Z1) → Eq Z0 Z1))
% 5.66/5.86              (Exists fun Z => And (rt1 Y Z) (cc Z)))))
% 5.66/5.86    True
% 5.66/5.86  Clause #29 (by assumption #[]): Eq (cUnsatisfiable i2003_11_14_17_20_25524) True
% 5.66/5.86  Clause #30 (by assumption #[]): Eq (∀ (X : Iota), Not (And (cc X) (cd X))) True
% 5.66/5.86  Clause #33 (by assumption #[]): Eq (∀ (X Y : Iota), rr1 X Y → rr X Y) True
% 5.66/5.86  Clause #34 (by assumption #[]): Eq (∀ (X Y : Iota), rr2 X Y → rr X Y) True
% 5.66/5.86  Clause #35 (by assumption #[]): Eq (∀ (X Y : Iota), rt1 X Y → rtt X Y) True
% 5.66/5.86  Clause #36 (by assumption #[]): Eq (∀ (X Y : Iota), rt2 X Y → rtt X Y) True
% 5.66/5.86  Clause #103 (by clausification #[36]): ∀ (a : Iota), Eq (∀ (Y : Iota), rt2 a Y → rtt a Y) True
% 5.66/5.86  Clause #104 (by clausification #[103]): ∀ (a a_1 : Iota), Eq (rt2 a a_1 → rtt a a_1) True
% 5.66/5.86  Clause #105 (by clausification #[104]): ∀ (a a_1 : Iota), Or (Eq (rt2 a a_1) False) (Eq (rtt a a_1) True)
% 5.66/5.86  Clause #106 (by clausification #[35]): ∀ (a : Iota), Eq (∀ (Y : Iota), rt1 a Y → rtt a Y) True
% 5.66/5.86  Clause #107 (by clausification #[106]): ∀ (a a_1 : Iota), Eq (rt1 a a_1 → rtt a a_1) True
% 5.66/5.86  Clause #108 (by clausification #[107]): ∀ (a a_1 : Iota), Or (Eq (rt1 a a_1) False) (Eq (rtt a a_1) True)
% 5.66/5.86  Clause #109 (by clausification #[34]): ∀ (a : Iota), Eq (∀ (Y : Iota), rr2 a Y → rr a Y) True
% 5.66/5.86  Clause #110 (by clausification #[109]): ∀ (a a_1 : Iota), Eq (rr2 a a_1 → rr a a_1) True
% 5.66/5.86  Clause #111 (by clausification #[110]): ∀ (a a_1 : Iota), Or (Eq (rr2 a a_1) False) (Eq (rr a a_1) True)
% 5.66/5.86  Clause #112 (by clausification #[33]): ∀ (a : Iota), Eq (∀ (Y : Iota), rr1 a Y → rr a Y) True
% 5.66/5.86  Clause #113 (by clausification #[112]): ∀ (a a_1 : Iota), Eq (rr1 a a_1 → rr a a_1) True
% 5.66/5.86  Clause #114 (by clausification #[113]): ∀ (a a_1 : Iota), Or (Eq (rr1 a a_1) False) (Eq (rr a a_1) True)
% 5.66/5.86  Clause #204 (by clausification #[30]): ∀ (a : Iota), Eq (Not (And (cc a) (cd a))) True
% 5.66/5.86  Clause #205 (by clausification #[204]): ∀ (a : Iota), Eq (And (cc a) (cd a)) False
% 5.66/5.86  Clause #206 (by clausification #[205]): ∀ (a : Iota), Or (Eq (cc a) False) (Eq (cd a) False)
% 5.66/5.86  Clause #238 (by clausification #[27]): ∀ (a : Iota),
% 5.66/5.86    Eq
% 5.66/5.86      (Iff (cUnsatisfiable a)
% 5.66/5.86        (And
% 5.66/5.86          (And
% 5.66/5.86            (And
% 5.66/5.86              (Exists fun Y =>
% 5.66/5.86                And (And (rr3 a Y) (Exists fun Z => And (rt3 Y Z) (ce Z)))
% 5.66/5.86                  (∀ (Z0 Z1 : Iota), And (rtt Y Z0) (rtt Y Z1) → Eq Z0 Z1))
% 5.66/5.86              (Exists fun Y =>
% 5.66/5.86                And (And (rr2 a Y) (∀ (Z0 Z1 : Iota), And (rtt Y Z0) (rtt Y Z1) → Eq Z0 Z1))
% 5.66/5.86                  (Exists fun Z => And (rt2 Y Z) (cd Z))))
% 5.66/5.86            (Not (Exists fun Y0 => Exists fun Y1 => And (And (rr a Y0) (rr a Y1)) (Ne Y0 Y1))))
% 5.66/5.86          (Exists fun Y =>
% 5.66/5.86            And (And (rr1 a Y) (∀ (Z0 Z1 : Iota), And (rtt Y Z0) (rtt Y Z1) → Eq Z0 Z1))
% 5.66/5.86              (Exists fun Z => And (rt1 Y Z) (cc Z)))))
% 5.66/5.86      True
% 5.66/5.86  Clause #240 (by clausification #[238]): ∀ (a : Iota),
% 5.66/5.86    Or (Eq (cUnsatisfiable a) False)
% 5.66/5.86      (Eq
% 5.66/5.86        (And
% 5.66/5.86          (And
% 5.66/5.86            (And
% 5.66/5.86              (Exists fun Y =>
% 5.66/5.86                And (And (rr3 a Y) (Exists fun Z => And (rt3 Y Z) (ce Z)))
% 5.66/5.86                  (∀ (Z0 Z1 : Iota), And (rtt Y Z0) (rtt Y Z1) → Eq Z0 Z1))
% 5.66/5.86              (Exists fun Y =>
% 5.66/5.86                And (And (rr2 a Y) (∀ (Z0 Z1 : Iota), And (rtt Y Z0) (rtt Y Z1) → Eq Z0 Z1))
% 5.66/5.86                  (Exists fun Z => And (rt2 Y Z) (cd Z))))
% 5.66/5.86            (Not (Exists fun Y0 => Exists fun Y1 => And (And (rr a Y0) (rr a Y1)) (Ne Y0 Y1))))
% 5.66/5.89          (Exists fun Y =>
% 5.66/5.89            And (And (rr1 a Y) (∀ (Z0 Z1 : Iota), And (rtt Y Z0) (rtt Y Z1) → Eq Z0 Z1))
% 5.66/5.89              (Exists fun Z => And (rt1 Y Z) (cc Z))))
% 5.66/5.89        True)
% 5.66/5.89  Clause #290 (by clausification #[240]): ∀ (a : Iota),
% 5.66/5.89    Or (Eq (cUnsatisfiable a) False)
% 5.66/5.89      (Eq
% 5.66/5.89        (Exists fun Y =>
% 5.66/5.89          And (And (rr1 a Y) (∀ (Z0 Z1 : Iota), And (rtt Y Z0) (rtt Y Z1) → Eq Z0 Z1))
% 5.66/5.89            (Exists fun Z => And (rt1 Y Z) (cc Z)))
% 5.66/5.89        True)
% 5.66/5.89  Clause #291 (by clausification #[240]): ∀ (a : Iota),
% 5.66/5.89    Or (Eq (cUnsatisfiable a) False)
% 5.66/5.89      (Eq
% 5.66/5.89        (And
% 5.66/5.89          (And
% 5.66/5.89            (Exists fun Y =>
% 5.66/5.89              And (And (rr3 a Y) (Exists fun Z => And (rt3 Y Z) (ce Z)))
% 5.66/5.89                (∀ (Z0 Z1 : Iota), And (rtt Y Z0) (rtt Y Z1) → Eq Z0 Z1))
% 5.66/5.89            (Exists fun Y =>
% 5.66/5.89              And (And (rr2 a Y) (∀ (Z0 Z1 : Iota), And (rtt Y Z0) (rtt Y Z1) → Eq Z0 Z1))
% 5.66/5.89                (Exists fun Z => And (rt2 Y Z) (cd Z))))
% 5.66/5.89          (Not (Exists fun Y0 => Exists fun Y1 => And (And (rr a Y0) (rr a Y1)) (Ne Y0 Y1))))
% 5.66/5.89        True)
% 5.66/5.89  Clause #292 (by clausification #[290]): ∀ (a a_1 : Iota),
% 5.66/5.89    Or (Eq (cUnsatisfiable a) False)
% 5.66/5.89      (Eq
% 5.66/5.89        (And
% 5.66/5.89          (And (rr1 a (skS.0 8 a a_1))
% 5.66/5.89            (∀ (Z0 Z1 : Iota), And (rtt (skS.0 8 a a_1) Z0) (rtt (skS.0 8 a a_1) Z1) → Eq Z0 Z1))
% 5.66/5.89          (Exists fun Z => And (rt1 (skS.0 8 a a_1) Z) (cc Z)))
% 5.66/5.89        True)
% 5.66/5.89  Clause #293 (by clausification #[292]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (Exists fun Z => And (rt1 (skS.0 8 a a_1) Z) (cc Z)) True)
% 5.66/5.89  Clause #294 (by clausification #[292]): ∀ (a a_1 : Iota),
% 5.66/5.89    Or (Eq (cUnsatisfiable a) False)
% 5.66/5.89      (Eq
% 5.66/5.89        (And (rr1 a (skS.0 8 a a_1)) (∀ (Z0 Z1 : Iota), And (rtt (skS.0 8 a a_1) Z0) (rtt (skS.0 8 a a_1) Z1) → Eq Z0 Z1))
% 5.66/5.89        True)
% 5.66/5.89  Clause #295 (by clausification #[293]): ∀ (a a_1 a_2 : Iota),
% 5.66/5.89    Or (Eq (cUnsatisfiable a) False) (Eq (And (rt1 (skS.0 8 a a_1) (skS.0 9 a a_1 a_2)) (cc (skS.0 9 a a_1 a_2))) True)
% 5.66/5.89  Clause #296 (by clausification #[295]): ∀ (a a_1 a_2 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (cc (skS.0 9 a a_1 a_2)) True)
% 5.66/5.89  Clause #297 (by clausification #[295]): ∀ (a a_1 a_2 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (rt1 (skS.0 8 a a_1) (skS.0 9 a a_1 a_2)) True)
% 5.66/5.89  Clause #298 (by superposition #[296, 29]): ∀ (a a_1 : Iota), Or (Eq (cc (skS.0 9 i2003_11_14_17_20_25524 a a_1)) True) (Eq False True)
% 5.66/5.89  Clause #299 (by clausification #[298]): ∀ (a a_1 : Iota), Eq (cc (skS.0 9 i2003_11_14_17_20_25524 a a_1)) True
% 5.66/5.89  Clause #300 (by superposition #[299, 206]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (cd (skS.0 9 i2003_11_14_17_20_25524 a a_1)) False)
% 5.66/5.89  Clause #331 (by clausification #[300]): ∀ (a a_1 : Iota), Eq (cd (skS.0 9 i2003_11_14_17_20_25524 a a_1)) False
% 5.66/5.89  Clause #332 (by clausification #[294]): ∀ (a a_1 : Iota),
% 5.66/5.89    Or (Eq (cUnsatisfiable a) False)
% 5.66/5.89      (Eq (∀ (Z0 Z1 : Iota), And (rtt (skS.0 8 a a_1) Z0) (rtt (skS.0 8 a a_1) Z1) → Eq Z0 Z1) True)
% 5.66/5.89  Clause #333 (by clausification #[294]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (rr1 a (skS.0 8 a a_1)) True)
% 5.66/5.89  Clause #334 (by clausification #[332]): ∀ (a a_1 a_2 : Iota),
% 5.66/5.89    Or (Eq (cUnsatisfiable a) False)
% 5.66/5.89      (Eq (∀ (Z1 : Iota), And (rtt (skS.0 8 a a_1) a_2) (rtt (skS.0 8 a a_1) Z1) → Eq a_2 Z1) True)
% 5.66/5.89  Clause #335 (by clausification #[334]): ∀ (a a_1 a_2 a_3 : Iota),
% 5.66/5.89    Or (Eq (cUnsatisfiable a) False) (Eq (And (rtt (skS.0 8 a a_1) a_2) (rtt (skS.0 8 a a_1) a_3) → Eq a_2 a_3) True)
% 5.66/5.89  Clause #336 (by clausification #[335]): ∀ (a a_1 a_2 a_3 : Iota),
% 5.66/5.89    Or (Eq (cUnsatisfiable a) False)
% 5.66/5.89      (Or (Eq (And (rtt (skS.0 8 a a_1) a_2) (rtt (skS.0 8 a a_1) a_3)) False) (Eq (Eq a_2 a_3) True))
% 5.66/5.89  Clause #337 (by clausification #[336]): ∀ (a a_1 a_2 a_3 : Iota),
% 5.66/5.89    Or (Eq (cUnsatisfiable a) False)
% 5.66/5.89      (Or (Eq (Eq a_1 a_2) True) (Or (Eq (rtt (skS.0 8 a a_3) a_1) False) (Eq (rtt (skS.0 8 a a_3) a_2) False)))
% 5.66/5.89  Clause #338 (by clausification #[337]): ∀ (a a_1 a_2 a_3 : Iota),
% 5.66/5.89    Or (Eq (cUnsatisfiable a) False)
% 5.66/5.89      (Or (Eq (rtt (skS.0 8 a a_1) a_2) False) (Or (Eq (rtt (skS.0 8 a a_1) a_3) False) (Eq a_2 a_3)))
% 5.74/5.92  Clause #339 (by superposition #[338, 29]): ∀ (a a_1 a_2 : Iota),
% 5.74/5.92    Or (Eq (rtt (skS.0 8 i2003_11_14_17_20_25524 a) a_1) False)
% 5.74/5.92      (Or (Eq (rtt (skS.0 8 i2003_11_14_17_20_25524 a) a_2) False) (Or (Eq a_1 a_2) (Eq False True)))
% 5.74/5.92  Clause #340 (by superposition #[333, 29]): ∀ (a : Iota), Or (Eq (rr1 i2003_11_14_17_20_25524 (skS.0 8 i2003_11_14_17_20_25524 a)) True) (Eq False True)
% 5.74/5.92  Clause #341 (by clausification #[340]): ∀ (a : Iota), Eq (rr1 i2003_11_14_17_20_25524 (skS.0 8 i2003_11_14_17_20_25524 a)) True
% 5.74/5.92  Clause #342 (by superposition #[341, 114]): ∀ (a : Iota), Or (Eq True False) (Eq (rr i2003_11_14_17_20_25524 (skS.0 8 i2003_11_14_17_20_25524 a)) True)
% 5.74/5.92  Clause #346 (by clausification #[342]): ∀ (a : Iota), Eq (rr i2003_11_14_17_20_25524 (skS.0 8 i2003_11_14_17_20_25524 a)) True
% 5.74/5.92  Clause #358 (by superposition #[297, 29]): ∀ (a a_1 : Iota),
% 5.74/5.92    Or (Eq (rt1 (skS.0 8 i2003_11_14_17_20_25524 a) (skS.0 9 i2003_11_14_17_20_25524 a a_1)) True) (Eq False True)
% 5.74/5.92  Clause #359 (by clausification #[358]): ∀ (a a_1 : Iota), Eq (rt1 (skS.0 8 i2003_11_14_17_20_25524 a) (skS.0 9 i2003_11_14_17_20_25524 a a_1)) True
% 5.74/5.92  Clause #360 (by superposition #[359, 108]): ∀ (a a_1 : Iota),
% 5.74/5.92    Or (Eq True False) (Eq (rtt (skS.0 8 i2003_11_14_17_20_25524 a) (skS.0 9 i2003_11_14_17_20_25524 a a_1)) True)
% 5.74/5.92  Clause #361 (by clausification #[360]): ∀ (a a_1 : Iota), Eq (rtt (skS.0 8 i2003_11_14_17_20_25524 a) (skS.0 9 i2003_11_14_17_20_25524 a a_1)) True
% 5.74/5.92  Clause #362 (by clausification #[339]): ∀ (a a_1 a_2 : Iota),
% 5.74/5.92    Or (Eq (rtt (skS.0 8 i2003_11_14_17_20_25524 a) a_1) False)
% 5.74/5.92      (Or (Eq (rtt (skS.0 8 i2003_11_14_17_20_25524 a) a_2) False) (Eq a_1 a_2))
% 5.74/5.92  Clause #363 (by superposition #[362, 361]): ∀ (a a_1 a_2 : Iota),
% 5.74/5.92    Or (Eq (rtt (skS.0 8 i2003_11_14_17_20_25524 a) a_1) False)
% 5.74/5.92      (Or (Eq (skS.0 9 i2003_11_14_17_20_25524 a a_2) a_1) (Eq False True))
% 5.74/5.92  Clause #364 (by clausification #[363]): ∀ (a a_1 a_2 : Iota),
% 5.74/5.92    Or (Eq (rtt (skS.0 8 i2003_11_14_17_20_25524 a) a_1) False) (Eq (skS.0 9 i2003_11_14_17_20_25524 a a_2) a_1)
% 5.74/5.92  Clause #377 (by clausification #[291]): ∀ (a : Iota),
% 5.74/5.92    Or (Eq (cUnsatisfiable a) False)
% 5.74/5.92      (Eq (Not (Exists fun Y0 => Exists fun Y1 => And (And (rr a Y0) (rr a Y1)) (Ne Y0 Y1))) True)
% 5.74/5.92  Clause #378 (by clausification #[291]): ∀ (a : Iota),
% 5.74/5.92    Or (Eq (cUnsatisfiable a) False)
% 5.74/5.92      (Eq
% 5.74/5.92        (And
% 5.74/5.92          (Exists fun Y =>
% 5.74/5.92            And (And (rr3 a Y) (Exists fun Z => And (rt3 Y Z) (ce Z)))
% 5.74/5.92              (∀ (Z0 Z1 : Iota), And (rtt Y Z0) (rtt Y Z1) → Eq Z0 Z1))
% 5.74/5.92          (Exists fun Y =>
% 5.74/5.92            And (And (rr2 a Y) (∀ (Z0 Z1 : Iota), And (rtt Y Z0) (rtt Y Z1) → Eq Z0 Z1))
% 5.74/5.92              (Exists fun Z => And (rt2 Y Z) (cd Z))))
% 5.74/5.92        True)
% 5.74/5.92  Clause #379 (by clausification #[377]): ∀ (a : Iota),
% 5.74/5.92    Or (Eq (cUnsatisfiable a) False)
% 5.74/5.92      (Eq (Exists fun Y0 => Exists fun Y1 => And (And (rr a Y0) (rr a Y1)) (Ne Y0 Y1)) False)
% 5.74/5.92  Clause #380 (by clausification #[379]): ∀ (a a_1 : Iota),
% 5.74/5.92    Or (Eq (cUnsatisfiable a) False) (Eq (Exists fun Y1 => And (And (rr a a_1) (rr a Y1)) (Ne a_1 Y1)) False)
% 5.74/5.92  Clause #381 (by clausification #[380]): ∀ (a a_1 a_2 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (And (And (rr a a_1) (rr a a_2)) (Ne a_1 a_2)) False)
% 5.74/5.92  Clause #382 (by clausification #[381]): ∀ (a a_1 a_2 : Iota),
% 5.74/5.92    Or (Eq (cUnsatisfiable a) False) (Or (Eq (And (rr a a_1) (rr a a_2)) False) (Eq (Ne a_1 a_2) False))
% 5.74/5.92  Clause #383 (by clausification #[382]): ∀ (a a_1 a_2 : Iota),
% 5.74/5.92    Or (Eq (cUnsatisfiable a) False) (Or (Eq (Ne a_1 a_2) False) (Or (Eq (rr a a_1) False) (Eq (rr a a_2) False)))
% 5.74/5.92  Clause #384 (by clausification #[383]): ∀ (a a_1 a_2 : Iota),
% 5.74/5.92    Or (Eq (cUnsatisfiable a) False) (Or (Eq (rr a a_1) False) (Or (Eq (rr a a_2) False) (Eq a_1 a_2)))
% 5.74/5.92  Clause #385 (by superposition #[384, 29]): ∀ (a a_1 : Iota),
% 5.74/5.92    Or (Eq (rr i2003_11_14_17_20_25524 a) False)
% 5.74/5.92      (Or (Eq (rr i2003_11_14_17_20_25524 a_1) False) (Or (Eq a a_1) (Eq False True)))
% 5.74/5.92  Clause #386 (by clausification #[385]): ∀ (a a_1 : Iota),
% 5.74/5.92    Or (Eq (rr i2003_11_14_17_20_25524 a) False) (Or (Eq (rr i2003_11_14_17_20_25524 a_1) False) (Eq a a_1))
% 5.74/5.92  Clause #387 (by superposition #[386, 346]): ∀ (a a_1 : Iota),
% 5.74/5.94    Or (Eq (rr i2003_11_14_17_20_25524 a) False) (Or (Eq (skS.0 8 i2003_11_14_17_20_25524 a_1) a) (Eq False True))
% 5.74/5.94  Clause #388 (by clausification #[387]): ∀ (a a_1 : Iota), Or (Eq (rr i2003_11_14_17_20_25524 a) False) (Eq (skS.0 8 i2003_11_14_17_20_25524 a_1) a)
% 5.74/5.94  Clause #389 (by superposition #[388, 346]): ∀ (a a_1 : Iota), Or (Eq (skS.0 8 i2003_11_14_17_20_25524 a) (skS.0 8 i2003_11_14_17_20_25524 a_1)) (Eq False True)
% 5.74/5.94  Clause #397 (by clausification #[389]): ∀ (a a_1 : Iota), Eq (skS.0 8 i2003_11_14_17_20_25524 a) (skS.0 8 i2003_11_14_17_20_25524 a_1)
% 5.74/5.94  Clause #400 (by superposition #[397, 364]): ∀ (a a_1 a_2 a_3 : Iota),
% 5.74/5.94    Or (Eq (rtt (skS.0 8 i2003_11_14_17_20_25524 a) a_1) False) (Eq (skS.0 9 i2003_11_14_17_20_25524 a_2 a_3) a_1)
% 5.74/5.94  Clause #411 (by clausification #[378]): ∀ (a : Iota),
% 5.74/5.94    Or (Eq (cUnsatisfiable a) False)
% 5.74/5.94      (Eq
% 5.74/5.94        (Exists fun Y =>
% 5.74/5.94          And (And (rr2 a Y) (∀ (Z0 Z1 : Iota), And (rtt Y Z0) (rtt Y Z1) → Eq Z0 Z1))
% 5.74/5.94            (Exists fun Z => And (rt2 Y Z) (cd Z)))
% 5.74/5.94        True)
% 5.74/5.94  Clause #413 (by clausification #[411]): ∀ (a a_1 : Iota),
% 5.74/5.94    Or (Eq (cUnsatisfiable a) False)
% 5.74/5.94      (Eq
% 5.74/5.94        (And
% 5.74/5.94          (And (rr2 a (skS.0 14 a a_1))
% 5.74/5.94            (∀ (Z0 Z1 : Iota), And (rtt (skS.0 14 a a_1) Z0) (rtt (skS.0 14 a a_1) Z1) → Eq Z0 Z1))
% 5.74/5.94          (Exists fun Z => And (rt2 (skS.0 14 a a_1) Z) (cd Z)))
% 5.74/5.94        True)
% 5.74/5.94  Clause #414 (by clausification #[413]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (Exists fun Z => And (rt2 (skS.0 14 a a_1) Z) (cd Z)) True)
% 5.74/5.94  Clause #415 (by clausification #[413]): ∀ (a a_1 : Iota),
% 5.74/5.94    Or (Eq (cUnsatisfiable a) False)
% 5.74/5.94      (Eq
% 5.74/5.94        (And (rr2 a (skS.0 14 a a_1))
% 5.74/5.94          (∀ (Z0 Z1 : Iota), And (rtt (skS.0 14 a a_1) Z0) (rtt (skS.0 14 a a_1) Z1) → Eq Z0 Z1))
% 5.74/5.94        True)
% 5.74/5.94  Clause #416 (by clausification #[414]): ∀ (a a_1 a_2 : Iota),
% 5.74/5.94    Or (Eq (cUnsatisfiable a) False) (Eq (And (rt2 (skS.0 14 a a_1) (skS.0 15 a a_1 a_2)) (cd (skS.0 15 a a_1 a_2))) True)
% 5.74/5.94  Clause #417 (by clausification #[416]): ∀ (a a_1 a_2 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (cd (skS.0 15 a a_1 a_2)) True)
% 5.74/5.94  Clause #418 (by clausification #[416]): ∀ (a a_1 a_2 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (rt2 (skS.0 14 a a_1) (skS.0 15 a a_1 a_2)) True)
% 5.74/5.94  Clause #419 (by superposition #[417, 29]): ∀ (a a_1 : Iota), Or (Eq (cd (skS.0 15 i2003_11_14_17_20_25524 a a_1)) True) (Eq False True)
% 5.74/5.94  Clause #420 (by clausification #[419]): ∀ (a a_1 : Iota), Eq (cd (skS.0 15 i2003_11_14_17_20_25524 a a_1)) True
% 5.74/5.94  Clause #427 (by clausification #[415]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (rr2 a (skS.0 14 a a_1)) True)
% 5.74/5.94  Clause #434 (by superposition #[427, 29]): ∀ (a : Iota), Or (Eq (rr2 i2003_11_14_17_20_25524 (skS.0 14 i2003_11_14_17_20_25524 a)) True) (Eq False True)
% 5.74/5.94  Clause #435 (by clausification #[434]): ∀ (a : Iota), Eq (rr2 i2003_11_14_17_20_25524 (skS.0 14 i2003_11_14_17_20_25524 a)) True
% 5.74/5.94  Clause #436 (by superposition #[435, 111]): ∀ (a : Iota), Or (Eq True False) (Eq (rr i2003_11_14_17_20_25524 (skS.0 14 i2003_11_14_17_20_25524 a)) True)
% 5.74/5.94  Clause #437 (by clausification #[436]): ∀ (a : Iota), Eq (rr i2003_11_14_17_20_25524 (skS.0 14 i2003_11_14_17_20_25524 a)) True
% 5.74/5.94  Clause #438 (by superposition #[437, 386]): ∀ (a a_1 : Iota),
% 5.74/5.94    Or (Eq True False) (Or (Eq (rr i2003_11_14_17_20_25524 a) False) (Eq (skS.0 14 i2003_11_14_17_20_25524 a_1) a))
% 5.74/5.94  Clause #461 (by clausification #[438]): ∀ (a a_1 : Iota), Or (Eq (rr i2003_11_14_17_20_25524 a) False) (Eq (skS.0 14 i2003_11_14_17_20_25524 a_1) a)
% 5.74/5.94  Clause #462 (by superposition #[461, 346]): ∀ (a a_1 : Iota), Or (Eq (skS.0 14 i2003_11_14_17_20_25524 a) (skS.0 8 i2003_11_14_17_20_25524 a_1)) (Eq False True)
% 5.74/5.94  Clause #464 (by clausification #[462]): ∀ (a a_1 : Iota), Eq (skS.0 14 i2003_11_14_17_20_25524 a) (skS.0 8 i2003_11_14_17_20_25524 a_1)
% 5.74/5.94  Clause #471 (by superposition #[464, 400]): ∀ (a a_1 a_2 a_3 : Iota),
% 5.74/5.94    Or (Eq (rtt (skS.0 14 i2003_11_14_17_20_25524 a) a_1) False) (Eq (skS.0 9 i2003_11_14_17_20_25524 a_2 a_3) a_1)
% 5.74/5.94  Clause #505 (by superposition #[418, 29]): ∀ (a a_1 : Iota),
% 5.74/5.94    Or (Eq (rt2 (skS.0 14 i2003_11_14_17_20_25524 a) (skS.0 15 i2003_11_14_17_20_25524 a a_1)) True) (Eq False True)
% 5.74/5.95  Clause #506 (by clausification #[505]): ∀ (a a_1 : Iota), Eq (rt2 (skS.0 14 i2003_11_14_17_20_25524 a) (skS.0 15 i2003_11_14_17_20_25524 a a_1)) True
% 5.74/5.95  Clause #507 (by superposition #[506, 105]): ∀ (a a_1 : Iota),
% 5.74/5.95    Or (Eq True False) (Eq (rtt (skS.0 14 i2003_11_14_17_20_25524 a) (skS.0 15 i2003_11_14_17_20_25524 a a_1)) True)
% 5.74/5.95  Clause #518 (by clausification #[507]): ∀ (a a_1 : Iota), Eq (rtt (skS.0 14 i2003_11_14_17_20_25524 a) (skS.0 15 i2003_11_14_17_20_25524 a a_1)) True
% 5.74/5.95  Clause #519 (by superposition #[518, 471]): ∀ (a a_1 a_2 a_3 : Iota),
% 5.74/5.95    Or (Eq True False) (Eq (skS.0 9 i2003_11_14_17_20_25524 a a_1) (skS.0 15 i2003_11_14_17_20_25524 a_2 a_3))
% 5.74/5.95  Clause #521 (by clausification #[519]): ∀ (a a_1 a_2 a_3 : Iota), Eq (skS.0 9 i2003_11_14_17_20_25524 a a_1) (skS.0 15 i2003_11_14_17_20_25524 a_2 a_3)
% 5.74/5.95  Clause #529 (by superposition #[521, 420]): ∀ (a a_1 : Iota), Eq (cd (skS.0 9 i2003_11_14_17_20_25524 a a_1)) True
% 5.74/5.95  Clause #531 (by superposition #[529, 331]): Eq True False
% 5.74/5.95  Clause #532 (by clausification #[531]): False
% 5.74/5.95  SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------