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Duper---1.0.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : SET789+4 : TPTP v9.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n004.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 08:00:30 PM UTC 2025

% Result   : Theorem 82.95s 83.14s
% Output   : Proof 83.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SET789+4 : TPTP v9.2.0. Released v3.2.0.
% 0.07/0.14  % Command    : duper %s
% 0.14/0.35  % Computer : n004.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Thu Oct  2 14:56:08 EDT 2025
% 0.14/0.35  % CPUTime    : 
% 82.95/83.14  SZS status Theorem for theBenchmark.p
% 82.95/83.14  SZS output start Proof for theBenchmark.p
% 82.95/83.14  Clause #0 (by assumption #[]): Eq
% 82.95/83.14    (∀ (R E : Iota),
% 82.95/83.14      Iff (order R E)
% 82.95/83.14        (And
% 82.95/83.14          (And (∀ (X : Iota), member X E → apply R X X)
% 82.95/83.14            (∀ (X Y : Iota), And (member X E) (member Y E) → And (apply R X Y) (apply R Y X) → Eq X Y))
% 82.95/83.14          (∀ (X Y Z : Iota),
% 82.95/83.14            And (And (member X E) (member Y E)) (member Z E) → And (apply R X Y) (apply R Y Z) → apply R X Z)))
% 82.95/83.14    True
% 82.95/83.14  Clause #4 (by assumption #[]): Eq (∀ (R E M : Iota), Iff (greatest M R E) (And (member M E) (∀ (X : Iota), member X E → apply R X M))) True
% 82.95/83.14  Clause #10 (by assumption #[]): Eq (Not (∀ (R E M : Iota), And (order R E) (greatest M R E) → ∀ (X : Iota), greatest X R E → Eq M X)) True
% 82.95/83.14  Clause #11 (by clausification #[10]): Eq (∀ (R E M : Iota), And (order R E) (greatest M R E) → ∀ (X : Iota), greatest X R E → Eq M X) False
% 82.95/83.14  Clause #12 (by clausification #[11]): ∀ (a : Iota),
% 82.95/83.14    Eq
% 82.95/83.14      (Not
% 82.95/83.14        (∀ (E M : Iota),
% 82.95/83.14          And (order (skS.0 0 a) E) (greatest M (skS.0 0 a) E) → ∀ (X : Iota), greatest X (skS.0 0 a) E → Eq M X))
% 82.95/83.14      True
% 82.95/83.14  Clause #13 (by clausification #[12]): ∀ (a : Iota),
% 82.95/83.14    Eq
% 82.95/83.14      (∀ (E M : Iota),
% 82.95/83.14        And (order (skS.0 0 a) E) (greatest M (skS.0 0 a) E) → ∀ (X : Iota), greatest X (skS.0 0 a) E → Eq M X)
% 82.95/83.14      False
% 82.95/83.14  Clause #14 (by clausification #[13]): ∀ (a a_1 : Iota),
% 82.95/83.14    Eq
% 82.95/83.14      (Not
% 82.95/83.14        (∀ (M : Iota),
% 82.95/83.14          And (order (skS.0 0 a) (skS.0 1 a a_1)) (greatest M (skS.0 0 a) (skS.0 1 a a_1)) →
% 82.95/83.14            ∀ (X : Iota), greatest X (skS.0 0 a) (skS.0 1 a a_1) → Eq M X))
% 82.95/83.14      True
% 82.95/83.14  Clause #15 (by clausification #[14]): ∀ (a a_1 : Iota),
% 82.95/83.14    Eq
% 82.95/83.14      (∀ (M : Iota),
% 82.95/83.14        And (order (skS.0 0 a) (skS.0 1 a a_1)) (greatest M (skS.0 0 a) (skS.0 1 a a_1)) →
% 82.95/83.14          ∀ (X : Iota), greatest X (skS.0 0 a) (skS.0 1 a a_1) → Eq M X)
% 82.95/83.14      False
% 82.95/83.14  Clause #16 (by clausification #[15]): ∀ (a a_1 a_2 : Iota),
% 82.95/83.14    Eq
% 82.95/83.14      (Not
% 82.95/83.14        (And (order (skS.0 0 a) (skS.0 1 a a_1)) (greatest (skS.0 2 a a_1 a_2) (skS.0 0 a) (skS.0 1 a a_1)) →
% 82.95/83.14          ∀ (X : Iota), greatest X (skS.0 0 a) (skS.0 1 a a_1) → Eq (skS.0 2 a a_1 a_2) X))
% 82.95/83.14      True
% 82.95/83.14  Clause #17 (by clausification #[16]): ∀ (a a_1 a_2 : Iota),
% 82.95/83.14    Eq
% 82.95/83.14      (And (order (skS.0 0 a) (skS.0 1 a a_1)) (greatest (skS.0 2 a a_1 a_2) (skS.0 0 a) (skS.0 1 a a_1)) →
% 82.95/83.14        ∀ (X : Iota), greatest X (skS.0 0 a) (skS.0 1 a a_1) → Eq (skS.0 2 a a_1 a_2) X)
% 82.95/83.14      False
% 82.95/83.14  Clause #18 (by clausification #[17]): ∀ (a a_1 a_2 : Iota),
% 82.95/83.14    Eq (And (order (skS.0 0 a) (skS.0 1 a a_1)) (greatest (skS.0 2 a a_1 a_2) (skS.0 0 a) (skS.0 1 a a_1))) True
% 82.95/83.14  Clause #19 (by clausification #[17]): ∀ (a a_1 a_2 : Iota), Eq (∀ (X : Iota), greatest X (skS.0 0 a) (skS.0 1 a a_1) → Eq (skS.0 2 a a_1 a_2) X) False
% 82.95/83.14  Clause #20 (by clausification #[18]): ∀ (a a_1 a_2 : Iota), Eq (greatest (skS.0 2 a a_1 a_2) (skS.0 0 a) (skS.0 1 a a_1)) True
% 82.95/83.14  Clause #21 (by clausification #[18]): ∀ (a a_1 : Iota), Eq (order (skS.0 0 a) (skS.0 1 a a_1)) True
% 82.95/83.14  Clause #44 (by clausification #[0]): ∀ (a : Iota),
% 82.95/83.14    Eq
% 82.95/83.14      (∀ (E : Iota),
% 82.95/83.14        Iff (order a E)
% 82.95/83.14          (And
% 82.95/83.14            (And (∀ (X : Iota), member X E → apply a X X)
% 82.95/83.14              (∀ (X Y : Iota), And (member X E) (member Y E) → And (apply a X Y) (apply a Y X) → Eq X Y))
% 82.95/83.14            (∀ (X Y Z : Iota),
% 82.95/83.14              And (And (member X E) (member Y E)) (member Z E) → And (apply a X Y) (apply a Y Z) → apply a X Z)))
% 82.95/83.14      True
% 82.95/83.14  Clause #45 (by clausification #[44]): ∀ (a a_1 : Iota),
% 82.95/83.14    Eq
% 82.95/83.14      (Iff (order a a_1)
% 82.95/83.14        (And
% 82.95/83.14          (And (∀ (X : Iota), member X a_1 → apply a X X)
% 82.95/83.14            (∀ (X Y : Iota), And (member X a_1) (member Y a_1) → And (apply a X Y) (apply a Y X) → Eq X Y))
% 82.95/83.14          (∀ (X Y Z : Iota),
% 82.95/83.14            And (And (member X a_1) (member Y a_1)) (member Z a_1) → And (apply a X Y) (apply a Y Z) → apply a X Z)))
% 82.95/83.14      True
% 82.95/83.14  Clause #47 (by clausification #[45]): ∀ (a a_1 : Iota),
% 82.95/83.14    Or (Eq (order a a_1) False)
% 82.95/83.14      (Eq
% 82.95/83.14        (And
% 82.95/83.14          (And (∀ (X : Iota), member X a_1 → apply a X X)
% 82.95/83.14            (∀ (X Y : Iota), And (member X a_1) (member Y a_1) → And (apply a X Y) (apply a Y X) → Eq X Y))
% 83.00/83.16          (∀ (X Y Z : Iota),
% 83.00/83.16            And (And (member X a_1) (member Y a_1)) (member Z a_1) → And (apply a X Y) (apply a Y Z) → apply a X Z))
% 83.00/83.16        True)
% 83.00/83.16  Clause #72 (by clausification #[19]): ∀ (a a_1 a_2 a_3 : Iota),
% 83.00/83.16    Eq
% 83.00/83.16      (Not
% 83.00/83.16        (greatest (skS.0 11 a a_1 a_2 a_3) (skS.0 0 a) (skS.0 1 a a_1) → Eq (skS.0 2 a a_1 a_2) (skS.0 11 a a_1 a_2 a_3)))
% 83.00/83.16      True
% 83.00/83.16  Clause #73 (by clausification #[72]): ∀ (a a_1 a_2 a_3 : Iota),
% 83.00/83.16    Eq (greatest (skS.0 11 a a_1 a_2 a_3) (skS.0 0 a) (skS.0 1 a a_1) → Eq (skS.0 2 a a_1 a_2) (skS.0 11 a a_1 a_2 a_3))
% 83.00/83.16      False
% 83.00/83.16  Clause #74 (by clausification #[73]): ∀ (a a_1 a_2 a_3 : Iota), Eq (greatest (skS.0 11 a a_1 a_2 a_3) (skS.0 0 a) (skS.0 1 a a_1)) True
% 83.00/83.16  Clause #75 (by clausification #[73]): ∀ (a a_1 a_2 a_3 : Iota), Eq (Eq (skS.0 2 a a_1 a_2) (skS.0 11 a a_1 a_2 a_3)) False
% 83.00/83.16  Clause #155 (by clausification #[4]): ∀ (a : Iota), Eq (∀ (E M : Iota), Iff (greatest M a E) (And (member M E) (∀ (X : Iota), member X E → apply a X M))) True
% 83.00/83.16  Clause #156 (by clausification #[155]): ∀ (a a_1 : Iota),
% 83.00/83.16    Eq (∀ (M : Iota), Iff (greatest M a a_1) (And (member M a_1) (∀ (X : Iota), member X a_1 → apply a X M))) True
% 83.00/83.16  Clause #157 (by clausification #[156]): ∀ (a a_1 a_2 : Iota),
% 83.00/83.16    Eq (Iff (greatest a a_1 a_2) (And (member a a_2) (∀ (X : Iota), member X a_2 → apply a_1 X a))) True
% 83.00/83.16  Clause #159 (by clausification #[157]): ∀ (a a_1 a_2 : Iota),
% 83.00/83.16    Or (Eq (greatest a a_1 a_2) False) (Eq (And (member a a_2) (∀ (X : Iota), member X a_2 → apply a_1 X a)) True)
% 83.00/83.16  Clause #170 (by clausification #[159]): ∀ (a a_1 a_2 : Iota), Or (Eq (greatest a a_1 a_2) False) (Eq (∀ (X : Iota), member X a_2 → apply a_1 X a) True)
% 83.00/83.16  Clause #171 (by clausification #[159]): ∀ (a a_1 a_2 : Iota), Or (Eq (greatest a a_1 a_2) False) (Eq (member a a_2) True)
% 83.00/83.16  Clause #172 (by clausification #[170]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (greatest a a_1 a_2) False) (Eq (member a_3 a_2 → apply a_1 a_3 a) True)
% 83.00/83.16  Clause #173 (by clausification #[172]): ∀ (a a_1 a_2 a_3 : Iota),
% 83.00/83.16    Or (Eq (greatest a a_1 a_2) False) (Or (Eq (member a_3 a_2) False) (Eq (apply a_1 a_3 a) True))
% 83.00/83.16  Clause #174 (by superposition #[173, 20]): ∀ (a a_1 a_2 a_3 : Iota),
% 83.00/83.16    Or (Eq (member a (skS.0 1 a_1 a_2)) False)
% 83.00/83.16      (Or (Eq (apply (skS.0 0 a_1) a (skS.0 2 a_1 a_2 a_3)) True) (Eq False True))
% 83.00/83.16  Clause #175 (by superposition #[173, 74]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 83.00/83.16    Or (Eq (member a (skS.0 1 a_1 a_2)) False)
% 83.00/83.16      (Or (Eq (apply (skS.0 0 a_1) a (skS.0 11 a_1 a_2 a_3 a_4)) True) (Eq False True))
% 83.00/83.16  Clause #176 (by superposition #[171, 20]): ∀ (a a_1 a_2 : Iota), Or (Eq (member (skS.0 2 a a_1 a_2) (skS.0 1 a a_1)) True) (Eq False True)
% 83.00/83.16  Clause #177 (by superposition #[171, 74]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (member (skS.0 11 a a_1 a_2 a_3) (skS.0 1 a a_1)) True) (Eq False True)
% 83.00/83.16  Clause #238 (by clausification #[176]): ∀ (a a_1 a_2 : Iota), Eq (member (skS.0 2 a a_1 a_2) (skS.0 1 a a_1)) True
% 83.00/83.16  Clause #246 (by clausification #[47]): ∀ (a a_1 : Iota),
% 83.00/83.16    Or (Eq (order a a_1) False)
% 83.00/83.16      (Eq
% 83.00/83.16        (And (∀ (X : Iota), member X a_1 → apply a X X)
% 83.00/83.16          (∀ (X Y : Iota), And (member X a_1) (member Y a_1) → And (apply a X Y) (apply a Y X) → Eq X Y))
% 83.00/83.16        True)
% 83.00/83.16  Clause #256 (by clausification #[246]): ∀ (a a_1 : Iota),
% 83.00/83.16    Or (Eq (order a a_1) False)
% 83.00/83.16      (Eq (∀ (X Y : Iota), And (member X a_1) (member Y a_1) → And (apply a X Y) (apply a Y X) → Eq X Y) True)
% 83.00/83.16  Clause #258 (by clausification #[256]): ∀ (a a_1 a_2 : Iota),
% 83.00/83.16    Or (Eq (order a a_1) False)
% 83.00/83.16      (Eq (∀ (Y : Iota), And (member a_2 a_1) (member Y a_1) → And (apply a a_2 Y) (apply a Y a_2) → Eq a_2 Y) True)
% 83.00/83.16  Clause #259 (by clausification #[258]): ∀ (a a_1 a_2 a_3 : Iota),
% 83.00/83.16    Or (Eq (order a a_1) False)
% 83.00/83.16      (Eq (And (member a_2 a_1) (member a_3 a_1) → And (apply a a_2 a_3) (apply a a_3 a_2) → Eq a_2 a_3) True)
% 83.00/83.16  Clause #260 (by clausification #[259]): ∀ (a a_1 a_2 a_3 : Iota),
% 83.00/83.16    Or (Eq (order a a_1) False)
% 83.00/83.16      (Or (Eq (And (member a_2 a_1) (member a_3 a_1)) False)
% 83.00/83.16        (Eq (And (apply a a_2 a_3) (apply a a_3 a_2) → Eq a_2 a_3) True))
% 83.00/83.19  Clause #261 (by clausification #[260]): ∀ (a a_1 a_2 a_3 : Iota),
% 83.00/83.19    Or (Eq (order a a_1) False)
% 83.00/83.19      (Or (Eq (And (apply a a_2 a_3) (apply a a_3 a_2) → Eq a_2 a_3) True)
% 83.00/83.19        (Or (Eq (member a_2 a_1) False) (Eq (member a_3 a_1) False)))
% 83.00/83.19  Clause #262 (by clausification #[261]): ∀ (a a_1 a_2 a_3 : Iota),
% 83.00/83.19    Or (Eq (order a a_1) False)
% 83.00/83.19      (Or (Eq (member a_2 a_1) False)
% 83.00/83.19        (Or (Eq (member a_3 a_1) False) (Or (Eq (And (apply a a_2 a_3) (apply a a_3 a_2)) False) (Eq (Eq a_2 a_3) True))))
% 83.00/83.19  Clause #263 (by clausification #[262]): ∀ (a a_1 a_2 a_3 : Iota),
% 83.00/83.19    Or (Eq (order a a_1) False)
% 83.00/83.19      (Or (Eq (member a_2 a_1) False)
% 83.00/83.19        (Or (Eq (member a_3 a_1) False)
% 83.00/83.19          (Or (Eq (Eq a_2 a_3) True) (Or (Eq (apply a a_2 a_3) False) (Eq (apply a a_3 a_2) False)))))
% 83.00/83.19  Clause #264 (by clausification #[263]): ∀ (a a_1 a_2 a_3 : Iota),
% 83.00/83.19    Or (Eq (order a a_1) False)
% 83.00/83.19      (Or (Eq (member a_2 a_1) False)
% 83.00/83.19        (Or (Eq (member a_3 a_1) False) (Or (Eq (apply a a_2 a_3) False) (Or (Eq (apply a a_3 a_2) False) (Eq a_2 a_3)))))
% 83.00/83.19  Clause #265 (by superposition #[264, 21]): ∀ (a a_1 a_2 a_3 : Iota),
% 83.00/83.19    Or (Eq (member a (skS.0 1 a_1 a_2)) False)
% 83.00/83.19      (Or (Eq (member a_3 (skS.0 1 a_1 a_2)) False)
% 83.00/83.19        (Or (Eq (apply (skS.0 0 a_1) a a_3) False)
% 83.00/83.19          (Or (Eq (apply (skS.0 0 a_1) a_3 a) False) (Or (Eq a a_3) (Eq False True)))))
% 83.00/83.19  Clause #276 (by clausification #[177]): ∀ (a a_1 a_2 a_3 : Iota), Eq (member (skS.0 11 a a_1 a_2 a_3) (skS.0 1 a a_1)) True
% 83.00/83.19  Clause #327 (by clausification #[75]): ∀ (a a_1 a_2 a_3 : Iota), Ne (skS.0 2 a a_1 a_2) (skS.0 11 a a_1 a_2 a_3)
% 83.00/83.19  Clause #387 (by clausification #[174]): ∀ (a a_1 a_2 a_3 : Iota),
% 83.00/83.19    Or (Eq (member a (skS.0 1 a_1 a_2)) False) (Eq (apply (skS.0 0 a_1) a (skS.0 2 a_1 a_2 a_3)) True)
% 83.00/83.19  Clause #389 (by superposition #[387, 276]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 83.00/83.19    Or (Eq (apply (skS.0 0 a) (skS.0 11 a a_1 a_2 a_3) (skS.0 2 a a_1 a_4)) True) (Eq False True)
% 83.00/83.19  Clause #447 (by clausification #[389]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (apply (skS.0 0 a) (skS.0 11 a a_1 a_2 a_3) (skS.0 2 a a_1 a_4)) True
% 83.00/83.19  Clause #484 (by clausification #[175]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 83.00/83.19    Or (Eq (member a (skS.0 1 a_1 a_2)) False) (Eq (apply (skS.0 0 a_1) a (skS.0 11 a_1 a_2 a_3 a_4)) True)
% 83.00/83.19  Clause #485 (by superposition #[484, 238]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 83.00/83.19    Or (Eq (apply (skS.0 0 a) (skS.0 2 a a_1 a_2) (skS.0 11 a a_1 a_3 a_4)) True) (Eq False True)
% 83.00/83.19  Clause #539 (by clausification #[485]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (apply (skS.0 0 a) (skS.0 2 a a_1 a_2) (skS.0 11 a a_1 a_3 a_4)) True
% 83.00/83.19  Clause #542 (by clausification #[265]): ∀ (a a_1 a_2 a_3 : Iota),
% 83.00/83.19    Or (Eq (member a (skS.0 1 a_1 a_2)) False)
% 83.00/83.19      (Or (Eq (member a_3 (skS.0 1 a_1 a_2)) False)
% 83.00/83.19        (Or (Eq (apply (skS.0 0 a_1) a a_3) False) (Or (Eq (apply (skS.0 0 a_1) a_3 a) False) (Eq a a_3))))
% 83.00/83.19  Clause #544 (by superposition #[542, 276]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 83.00/83.19    Or (Eq (member a (skS.0 1 a_1 a_2)) False)
% 83.00/83.19      (Or (Eq (apply (skS.0 0 a_1) (skS.0 11 a_1 a_2 a_3 a_4) a) False)
% 83.00/83.19        (Or (Eq (apply (skS.0 0 a_1) a (skS.0 11 a_1 a_2 a_3 a_4)) False)
% 83.00/83.19          (Or (Eq (skS.0 11 a_1 a_2 a_3 a_4) a) (Eq False True))))
% 83.00/83.19  Clause #1784 (by clausification #[544]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 83.00/83.19    Or (Eq (member a (skS.0 1 a_1 a_2)) False)
% 83.00/83.19      (Or (Eq (apply (skS.0 0 a_1) (skS.0 11 a_1 a_2 a_3 a_4) a) False)
% 83.00/83.19        (Or (Eq (apply (skS.0 0 a_1) a (skS.0 11 a_1 a_2 a_3 a_4)) False) (Eq (skS.0 11 a_1 a_2 a_3 a_4) a)))
% 83.00/83.19  Clause #1785 (by superposition #[1784, 238]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 83.00/83.19    Or (Eq (apply (skS.0 0 a) (skS.0 11 a a_1 a_2 a_3) (skS.0 2 a a_1 a_4)) False)
% 83.00/83.19      (Or (Eq (apply (skS.0 0 a) (skS.0 2 a a_1 a_4) (skS.0 11 a a_1 a_2 a_3)) False)
% 83.00/83.19        (Or (Eq (skS.0 11 a a_1 a_2 a_3) (skS.0 2 a a_1 a_4)) (Eq False True)))
% 83.00/83.19  Clause #9528 (by clausification #[1785]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 83.00/83.19    Or (Eq (apply (skS.0 0 a) (skS.0 11 a a_1 a_2 a_3) (skS.0 2 a a_1 a_4)) False)
% 83.00/83.19      (Or (Eq (apply (skS.0 0 a) (skS.0 2 a a_1 a_4) (skS.0 11 a a_1 a_2 a_3)) False)
% 83.00/83.19        (Eq (skS.0 11 a a_1 a_2 a_3) (skS.0 2 a a_1 a_4)))
% 83.13/83.29  Clause #9529 (by superposition #[9528, 447]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 83.13/83.29    Or (Eq (apply (skS.0 0 a) (skS.0 2 a a_1 a_2) (skS.0 11 a a_1 a_3 a_4)) False)
% 83.13/83.29      (Or (Eq (skS.0 11 a a_1 a_3 a_4) (skS.0 2 a a_1 a_2)) (Eq False True))
% 83.13/83.29  Clause #9530 (by clausification #[9529]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 83.13/83.29    Or (Eq (apply (skS.0 0 a) (skS.0 2 a a_1 a_2) (skS.0 11 a a_1 a_3 a_4)) False)
% 83.13/83.29      (Eq (skS.0 11 a a_1 a_3 a_4) (skS.0 2 a a_1 a_2))
% 83.13/83.29  Clause #9531 (by superposition #[9530, 539]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Or (Eq (skS.0 11 a a_1 a_2 a_3) (skS.0 2 a a_1 a_4)) (Eq False True)
% 83.13/83.29  Clause #9532 (by clausification #[9531]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (skS.0 11 a a_1 a_2 a_3) (skS.0 2 a a_1 a_4)
% 83.13/83.29  Clause #9533 (by backward contextual literal cutting #[9532, 327]): False
% 83.13/83.29  SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------