TSTP Solution File: PRO009+4 by Duper---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : PRO009+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n003.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 13:06:49 EDT 2023

% Result   : Theorem 139.29s 140.14s
% Output   : Proof 139.59s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : PRO009+4 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13  % Command    : duper %s
% 0.14/0.35  % Computer : n003.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   : Mon Aug 28 19:34:40 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 139.29/140.14  SZS status Theorem for theBenchmark.p
% 139.29/140.14  SZS output start Proof for theBenchmark.p
% 139.29/140.14  Clause #18 (by assumption #[]): Eq
% 139.29/140.14    (∀ (X55 X56 : Iota),
% 139.29/140.14      Iff (leaf_occ X55 X56)
% 139.29/140.14        (Exists fun X57 => And (And (occurrence_of X56 X57) (subactivity_occurrence X55 X56)) (leaf X55 X57)))
% 139.29/140.14    True
% 139.29/140.14  Clause #19 (by assumption #[]): Eq
% 139.29/140.14    (∀ (X58 X59 : Iota),
% 139.29/140.14      Iff (root_occ X58 X59)
% 139.29/140.14        (Exists fun X60 => And (And (occurrence_of X59 X60) (subactivity_occurrence X58 X59)) (root X58 X60)))
% 139.29/140.14    True
% 139.29/140.14  Clause #23 (by assumption #[]): Eq (∀ (X68 X69 X70 : Iota), min_precedes X68 X69 X70 → Exists fun X71 => And (root X71 X70) (min_precedes X71 X69 X70))
% 139.29/140.14    True
% 139.29/140.14  Clause #26 (by assumption #[]): Eq
% 139.29/140.14    (∀ (X78 X79 X80 : Iota),
% 139.29/140.14      Iff (next_subocc X78 X79 X80)
% 139.29/140.14        (And (min_precedes X78 X79 X80)
% 139.29/140.14          (Not (Exists fun X81 => And (min_precedes X78 X81 X80) (min_precedes X81 X79 X80)))))
% 139.29/140.14    True
% 139.29/140.14  Clause #27 (by assumption #[]): Eq
% 139.29/140.14    (∀ (X82 X83 X84 X85 : Iota),
% 139.29/140.14      And (And (min_precedes X82 X83 X84) (occurrence_of X85 X84)) (subactivity_occurrence X83 X85) →
% 139.29/140.14        subactivity_occurrence X82 X85)
% 139.29/140.14    True
% 139.29/140.14  Clause #29 (by assumption #[]): Eq (∀ (X90 X91 X92 X93 : Iota), And (And (occurrence_of X92 X93) (root_occ X90 X92)) (root_occ X91 X92) → Eq X90 X91)
% 139.29/140.14    True
% 139.29/140.14  Clause #32 (by assumption #[]): Eq
% 139.29/140.14    (∀ (X101 : Iota),
% 139.29/140.14      occurrence_of X101 tptp0 →
% 139.29/140.14        Exists fun X102 =>
% 139.29/140.14          Exists fun X103 =>
% 139.29/140.14            Exists fun X104 =>
% 139.29/140.14              And
% 139.29/140.14                (And
% 139.29/140.14                  (And
% 139.29/140.14                    (And (And (And (occurrence_of X102 tptp3) (root_occ X102 X101)) (occurrence_of X103 tptp4))
% 139.29/140.14                      (next_subocc X102 X103 tptp0))
% 139.29/140.14                    (Or (occurrence_of X104 tptp2) (occurrence_of X104 tptp1)))
% 139.29/140.14                  (next_subocc X103 X104 tptp0))
% 139.29/140.14                (leaf_occ X104 X101))
% 139.29/140.14    True
% 139.29/140.14  Clause #45 (by assumption #[]): Eq
% 139.29/140.14    (Not
% 139.29/140.14      (∀ (X105 : Iota),
% 139.29/140.14        occurrence_of X105 tptp0 →
% 139.29/140.14          Exists fun X106 =>
% 139.29/140.14            Exists fun X107 =>
% 139.29/140.14              And
% 139.29/140.14                (And
% 139.29/140.14                  (And (And (occurrence_of X106 tptp3) (root_occ X106 X105))
% 139.29/140.14                    (Or (occurrence_of X107 tptp2) (occurrence_of X107 tptp1)))
% 139.29/140.14                  (min_precedes X106 X107 tptp0))
% 139.29/140.14                (leaf_occ X107 X105)))
% 139.29/140.14    True
% 139.29/140.14  Clause #102 (by clausification #[27]): ∀ (a : Iota),
% 139.29/140.14    Eq
% 139.29/140.14      (∀ (X83 X84 X85 : Iota),
% 139.29/140.14        And (And (min_precedes a X83 X84) (occurrence_of X85 X84)) (subactivity_occurrence X83 X85) →
% 139.29/140.14          subactivity_occurrence a X85)
% 139.29/140.14      True
% 139.29/140.14  Clause #103 (by clausification #[102]): ∀ (a a_1 : Iota),
% 139.29/140.14    Eq
% 139.29/140.14      (∀ (X84 X85 : Iota),
% 139.29/140.14        And (And (min_precedes a a_1 X84) (occurrence_of X85 X84)) (subactivity_occurrence a_1 X85) →
% 139.29/140.14          subactivity_occurrence a X85)
% 139.29/140.14      True
% 139.29/140.14  Clause #104 (by clausification #[103]): ∀ (a a_1 a_2 : Iota),
% 139.29/140.14    Eq
% 139.29/140.14      (∀ (X85 : Iota),
% 139.29/140.14        And (And (min_precedes a a_1 a_2) (occurrence_of X85 a_2)) (subactivity_occurrence a_1 X85) →
% 139.29/140.14          subactivity_occurrence a X85)
% 139.29/140.14      True
% 139.29/140.14  Clause #105 (by clausification #[104]): ∀ (a a_1 a_2 a_3 : Iota),
% 139.29/140.14    Eq
% 139.29/140.14      (And (And (min_precedes a a_1 a_2) (occurrence_of a_3 a_2)) (subactivity_occurrence a_1 a_3) →
% 139.29/140.14        subactivity_occurrence a a_3)
% 139.29/140.14      True
% 139.29/140.14  Clause #106 (by clausification #[105]): ∀ (a a_1 a_2 a_3 : Iota),
% 139.29/140.14    Or (Eq (And (And (min_precedes a a_1 a_2) (occurrence_of a_3 a_2)) (subactivity_occurrence a_1 a_3)) False)
% 139.29/140.14      (Eq (subactivity_occurrence a a_3) True)
% 139.29/140.14  Clause #107 (by clausification #[106]): ∀ (a a_1 a_2 a_3 : Iota),
% 139.29/140.14    Or (Eq (subactivity_occurrence a a_1) True)
% 139.29/140.14      (Or (Eq (And (min_precedes a a_2 a_3) (occurrence_of a_1 a_3)) False) (Eq (subactivity_occurrence a_2 a_1) False))
% 139.29/140.14  Clause #108 (by clausification #[107]): ∀ (a a_1 a_2 a_3 : Iota),
% 139.29/140.14    Or (Eq (subactivity_occurrence a a_1) True)
% 139.29/140.14      (Or (Eq (subactivity_occurrence a_2 a_1) False)
% 139.29/140.14        (Or (Eq (min_precedes a a_2 a_3) False) (Eq (occurrence_of a_1 a_3) False)))
% 139.29/140.14  Clause #153 (by clausification #[29]): ∀ (a : Iota),
% 139.29/140.14    Eq (∀ (X91 X92 X93 : Iota), And (And (occurrence_of X92 X93) (root_occ a X92)) (root_occ X91 X92) → Eq a X91) True
% 139.29/140.14  Clause #154 (by clausification #[153]): ∀ (a a_1 : Iota),
% 139.29/140.16    Eq (∀ (X92 X93 : Iota), And (And (occurrence_of X92 X93) (root_occ a X92)) (root_occ a_1 X92) → Eq a a_1) True
% 139.29/140.16  Clause #155 (by clausification #[154]): ∀ (a a_1 a_2 : Iota),
% 139.29/140.16    Eq (∀ (X93 : Iota), And (And (occurrence_of a X93) (root_occ a_1 a)) (root_occ a_2 a) → Eq a_1 a_2) True
% 139.29/140.16  Clause #156 (by clausification #[155]): ∀ (a a_1 a_2 a_3 : Iota), Eq (And (And (occurrence_of a a_1) (root_occ a_2 a)) (root_occ a_3 a) → Eq a_2 a_3) True
% 139.29/140.16  Clause #157 (by clausification #[156]): ∀ (a a_1 a_2 a_3 : Iota),
% 139.29/140.16    Or (Eq (And (And (occurrence_of a a_1) (root_occ a_2 a)) (root_occ a_3 a)) False) (Eq (Eq a_2 a_3) True)
% 139.29/140.16  Clause #158 (by clausification #[157]): ∀ (a a_1 a_2 a_3 : Iota),
% 139.29/140.16    Or (Eq (Eq a a_1) True) (Or (Eq (And (occurrence_of a_2 a_3) (root_occ a a_2)) False) (Eq (root_occ a_1 a_2) False))
% 139.29/140.16  Clause #159 (by clausification #[158]): ∀ (a a_1 a_2 a_3 : Iota),
% 139.29/140.16    Or (Eq (And (occurrence_of a a_1) (root_occ a_2 a)) False) (Or (Eq (root_occ a_3 a) False) (Eq a_2 a_3))
% 139.29/140.16  Clause #160 (by clausification #[159]): ∀ (a a_1 a_2 a_3 : Iota),
% 139.29/140.16    Or (Eq (root_occ a a_1) False) (Or (Eq a_2 a) (Or (Eq (occurrence_of a_1 a_3) False) (Eq (root_occ a_2 a_1) False)))
% 139.29/140.16  Clause #225 (by clausification #[23]): ∀ (a : Iota),
% 139.29/140.16    Eq (∀ (X69 X70 : Iota), min_precedes a X69 X70 → Exists fun X71 => And (root X71 X70) (min_precedes X71 X69 X70)) True
% 139.29/140.16  Clause #226 (by clausification #[225]): ∀ (a a_1 : Iota),
% 139.29/140.16    Eq (∀ (X70 : Iota), min_precedes a a_1 X70 → Exists fun X71 => And (root X71 X70) (min_precedes X71 a_1 X70)) True
% 139.29/140.16  Clause #227 (by clausification #[226]): ∀ (a a_1 a_2 : Iota), Eq (min_precedes a a_1 a_2 → Exists fun X71 => And (root X71 a_2) (min_precedes X71 a_1 a_2)) True
% 139.29/140.16  Clause #228 (by clausification #[227]): ∀ (a a_1 a_2 : Iota),
% 139.29/140.16    Or (Eq (min_precedes a a_1 a_2) False) (Eq (Exists fun X71 => And (root X71 a_2) (min_precedes X71 a_1 a_2)) True)
% 139.29/140.16  Clause #229 (by clausification #[228]): ∀ (a a_1 a_2 a_3 : Iota),
% 139.29/140.16    Or (Eq (min_precedes a a_1 a_2) False)
% 139.29/140.16      (Eq (And (root (skS.0 5 a_2 a_1 a_3) a_2) (min_precedes (skS.0 5 a_2 a_1 a_3) a_1 a_2)) True)
% 139.29/140.16  Clause #230 (by clausification #[229]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (min_precedes a a_1 a_2) False) (Eq (min_precedes (skS.0 5 a_2 a_1 a_3) a_1 a_2) True)
% 139.29/140.16  Clause #231 (by clausification #[229]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (min_precedes a a_1 a_2) False) (Eq (root (skS.0 5 a_2 a_1 a_3) a_2) True)
% 139.29/140.16  Clause #242 (by clausification #[19]): ∀ (a : Iota),
% 139.29/140.16    Eq
% 139.29/140.16      (∀ (X59 : Iota),
% 139.29/140.16        Iff (root_occ a X59)
% 139.29/140.16          (Exists fun X60 => And (And (occurrence_of X59 X60) (subactivity_occurrence a X59)) (root a X60)))
% 139.29/140.16      True
% 139.29/140.16  Clause #243 (by clausification #[242]): ∀ (a a_1 : Iota),
% 139.29/140.16    Eq
% 139.29/140.16      (Iff (root_occ a a_1)
% 139.29/140.16        (Exists fun X60 => And (And (occurrence_of a_1 X60) (subactivity_occurrence a a_1)) (root a X60)))
% 139.29/140.16      True
% 139.29/140.16  Clause #244 (by clausification #[243]): ∀ (a a_1 : Iota),
% 139.29/140.16    Or (Eq (root_occ a a_1) True)
% 139.29/140.16      (Eq (Exists fun X60 => And (And (occurrence_of a_1 X60) (subactivity_occurrence a a_1)) (root a X60)) False)
% 139.29/140.16  Clause #246 (by clausification #[244]): ∀ (a a_1 a_2 : Iota),
% 139.29/140.16    Or (Eq (root_occ a a_1) True)
% 139.29/140.16      (Eq (And (And (occurrence_of a_1 a_2) (subactivity_occurrence a a_1)) (root a a_2)) False)
% 139.29/140.16  Clause #247 (by clausification #[246]): ∀ (a a_1 a_2 : Iota),
% 139.29/140.16    Or (Eq (root_occ a a_1) True)
% 139.29/140.16      (Or (Eq (And (occurrence_of a_1 a_2) (subactivity_occurrence a a_1)) False) (Eq (root a a_2) False))
% 139.29/140.16  Clause #248 (by clausification #[247]): ∀ (a a_1 a_2 : Iota),
% 139.29/140.16    Or (Eq (root_occ a a_1) True)
% 139.29/140.16      (Or (Eq (root a a_2) False) (Or (Eq (occurrence_of a_1 a_2) False) (Eq (subactivity_occurrence a a_1) False)))
% 139.29/140.16  Clause #266 (by clausification #[18]): ∀ (a : Iota),
% 139.29/140.16    Eq
% 139.29/140.16      (∀ (X56 : Iota),
% 139.29/140.16        Iff (leaf_occ a X56)
% 139.29/140.16          (Exists fun X57 => And (And (occurrence_of X56 X57) (subactivity_occurrence a X56)) (leaf a X57)))
% 139.29/140.16      True
% 139.29/140.16  Clause #267 (by clausification #[266]): ∀ (a a_1 : Iota),
% 139.29/140.16    Eq
% 139.29/140.16      (Iff (leaf_occ a a_1)
% 139.29/140.16        (Exists fun X57 => And (And (occurrence_of a_1 X57) (subactivity_occurrence a a_1)) (leaf a X57)))
% 139.40/140.18      True
% 139.40/140.18  Clause #269 (by clausification #[267]): ∀ (a a_1 : Iota),
% 139.40/140.18    Or (Eq (leaf_occ a a_1) False)
% 139.40/140.18      (Eq (Exists fun X57 => And (And (occurrence_of a_1 X57) (subactivity_occurrence a a_1)) (leaf a X57)) True)
% 139.40/140.18  Clause #273 (by clausification #[26]): ∀ (a : Iota),
% 139.40/140.18    Eq
% 139.40/140.18      (∀ (X79 X80 : Iota),
% 139.40/140.18        Iff (next_subocc a X79 X80)
% 139.40/140.18          (And (min_precedes a X79 X80)
% 139.40/140.18            (Not (Exists fun X81 => And (min_precedes a X81 X80) (min_precedes X81 X79 X80)))))
% 139.40/140.18      True
% 139.40/140.18  Clause #274 (by clausification #[273]): ∀ (a a_1 : Iota),
% 139.40/140.18    Eq
% 139.40/140.18      (∀ (X80 : Iota),
% 139.40/140.18        Iff (next_subocc a a_1 X80)
% 139.40/140.18          (And (min_precedes a a_1 X80)
% 139.40/140.18            (Not (Exists fun X81 => And (min_precedes a X81 X80) (min_precedes X81 a_1 X80)))))
% 139.40/140.18      True
% 139.40/140.18  Clause #275 (by clausification #[274]): ∀ (a a_1 a_2 : Iota),
% 139.40/140.18    Eq
% 139.40/140.18      (Iff (next_subocc a a_1 a_2)
% 139.40/140.18        (And (min_precedes a a_1 a_2) (Not (Exists fun X81 => And (min_precedes a X81 a_2) (min_precedes X81 a_1 a_2)))))
% 139.40/140.18      True
% 139.40/140.18  Clause #277 (by clausification #[275]): ∀ (a a_1 a_2 : Iota),
% 139.40/140.18    Or (Eq (next_subocc a a_1 a_2) False)
% 139.40/140.18      (Eq (And (min_precedes a a_1 a_2) (Not (Exists fun X81 => And (min_precedes a X81 a_2) (min_precedes X81 a_1 a_2))))
% 139.40/140.18        True)
% 139.40/140.18  Clause #283 (by clausification #[269]): ∀ (a a_1 a_2 : Iota),
% 139.40/140.18    Or (Eq (leaf_occ a a_1) False)
% 139.40/140.18      (Eq
% 139.40/140.18        (And (And (occurrence_of a_1 (skS.0 11 a_1 a a_2)) (subactivity_occurrence a a_1)) (leaf a (skS.0 11 a_1 a a_2)))
% 139.40/140.18        True)
% 139.40/140.18  Clause #285 (by clausification #[283]): ∀ (a a_1 a_2 : Iota),
% 139.40/140.18    Or (Eq (leaf_occ a a_1) False) (Eq (And (occurrence_of a_1 (skS.0 11 a_1 a a_2)) (subactivity_occurrence a a_1)) True)
% 139.40/140.18  Clause #286 (by clausification #[285]): ∀ (a a_1 : Iota), Or (Eq (leaf_occ a a_1) False) (Eq (subactivity_occurrence a a_1) True)
% 139.40/140.18  Clause #289 (by clausification #[277]): ∀ (a a_1 a_2 : Iota), Or (Eq (next_subocc a a_1 a_2) False) (Eq (min_precedes a a_1 a_2) True)
% 139.40/140.18  Clause #293 (by clausification #[32]): ∀ (a : Iota),
% 139.40/140.18    Eq
% 139.40/140.18      (occurrence_of a tptp0 →
% 139.40/140.18        Exists fun X102 =>
% 139.40/140.18          Exists fun X103 =>
% 139.40/140.18            Exists fun X104 =>
% 139.40/140.18              And
% 139.40/140.18                (And
% 139.40/140.18                  (And
% 139.40/140.18                    (And (And (And (occurrence_of X102 tptp3) (root_occ X102 a)) (occurrence_of X103 tptp4))
% 139.40/140.18                      (next_subocc X102 X103 tptp0))
% 139.40/140.18                    (Or (occurrence_of X104 tptp2) (occurrence_of X104 tptp1)))
% 139.40/140.18                  (next_subocc X103 X104 tptp0))
% 139.40/140.18                (leaf_occ X104 a))
% 139.40/140.18      True
% 139.40/140.18  Clause #294 (by clausification #[293]): ∀ (a : Iota),
% 139.40/140.18    Or (Eq (occurrence_of a tptp0) False)
% 139.40/140.18      (Eq
% 139.40/140.18        (Exists fun X102 =>
% 139.40/140.18          Exists fun X103 =>
% 139.40/140.18            Exists fun X104 =>
% 139.40/140.18              And
% 139.40/140.18                (And
% 139.40/140.18                  (And
% 139.40/140.18                    (And (And (And (occurrence_of X102 tptp3) (root_occ X102 a)) (occurrence_of X103 tptp4))
% 139.40/140.18                      (next_subocc X102 X103 tptp0))
% 139.40/140.18                    (Or (occurrence_of X104 tptp2) (occurrence_of X104 tptp1)))
% 139.40/140.18                  (next_subocc X103 X104 tptp0))
% 139.40/140.18                (leaf_occ X104 a))
% 139.40/140.18        True)
% 139.40/140.18  Clause #295 (by clausification #[294]): ∀ (a a_1 : Iota),
% 139.40/140.18    Or (Eq (occurrence_of a tptp0) False)
% 139.40/140.18      (Eq
% 139.40/140.18        (Exists fun X103 =>
% 139.40/140.18          Exists fun X104 =>
% 139.40/140.18            And
% 139.40/140.18              (And
% 139.40/140.18                (And
% 139.40/140.18                  (And
% 139.40/140.18                    (And (And (occurrence_of (skS.0 12 a a_1) tptp3) (root_occ (skS.0 12 a a_1) a))
% 139.40/140.18                      (occurrence_of X103 tptp4))
% 139.40/140.18                    (next_subocc (skS.0 12 a a_1) X103 tptp0))
% 139.40/140.18                  (Or (occurrence_of X104 tptp2) (occurrence_of X104 tptp1)))
% 139.40/140.18                (next_subocc X103 X104 tptp0))
% 139.40/140.18              (leaf_occ X104 a))
% 139.40/140.18        True)
% 139.40/140.18  Clause #296 (by clausification #[295]): ∀ (a a_1 a_2 : Iota),
% 139.40/140.18    Or (Eq (occurrence_of a tptp0) False)
% 139.40/140.18      (Eq
% 139.40/140.18        (Exists fun X104 =>
% 139.40/140.18          And
% 139.40/140.18            (And
% 139.40/140.18              (And
% 139.40/140.18                (And
% 139.40/140.18                  (And (And (occurrence_of (skS.0 12 a a_1) tptp3) (root_occ (skS.0 12 a a_1) a))
% 139.40/140.18                    (occurrence_of (skS.0 13 a a_1 a_2) tptp4))
% 139.40/140.18                  (next_subocc (skS.0 12 a a_1) (skS.0 13 a a_1 a_2) tptp0))
% 139.40/140.18                (Or (occurrence_of X104 tptp2) (occurrence_of X104 tptp1)))
% 139.40/140.20              (next_subocc (skS.0 13 a a_1 a_2) X104 tptp0))
% 139.40/140.20            (leaf_occ X104 a))
% 139.40/140.20        True)
% 139.40/140.20  Clause #297 (by clausification #[296]): ∀ (a a_1 a_2 a_3 : Iota),
% 139.40/140.20    Or (Eq (occurrence_of a tptp0) False)
% 139.40/140.20      (Eq
% 139.40/140.20        (And
% 139.40/140.20          (And
% 139.40/140.20            (And
% 139.40/140.20              (And
% 139.40/140.20                (And (And (occurrence_of (skS.0 12 a a_1) tptp3) (root_occ (skS.0 12 a a_1) a))
% 139.40/140.20                  (occurrence_of (skS.0 13 a a_1 a_2) tptp4))
% 139.40/140.20                (next_subocc (skS.0 12 a a_1) (skS.0 13 a a_1 a_2) tptp0))
% 139.40/140.20              (Or (occurrence_of (skS.0 14 a a_1 a_2 a_3) tptp2) (occurrence_of (skS.0 14 a a_1 a_2 a_3) tptp1)))
% 139.40/140.20            (next_subocc (skS.0 13 a a_1 a_2) (skS.0 14 a a_1 a_2 a_3) tptp0))
% 139.40/140.20          (leaf_occ (skS.0 14 a a_1 a_2 a_3) a))
% 139.40/140.20        True)
% 139.40/140.20  Clause #298 (by clausification #[297]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (occurrence_of a tptp0) False) (Eq (leaf_occ (skS.0 14 a a_1 a_2 a_3) a) True)
% 139.40/140.20  Clause #299 (by clausification #[297]): ∀ (a a_1 a_2 a_3 : Iota),
% 139.40/140.20    Or (Eq (occurrence_of a tptp0) False)
% 139.40/140.20      (Eq
% 139.40/140.20        (And
% 139.40/140.20          (And
% 139.40/140.20            (And
% 139.40/140.20              (And (And (occurrence_of (skS.0 12 a a_1) tptp3) (root_occ (skS.0 12 a a_1) a))
% 139.40/140.20                (occurrence_of (skS.0 13 a a_1 a_2) tptp4))
% 139.40/140.20              (next_subocc (skS.0 12 a a_1) (skS.0 13 a a_1 a_2) tptp0))
% 139.40/140.20            (Or (occurrence_of (skS.0 14 a a_1 a_2 a_3) tptp2) (occurrence_of (skS.0 14 a a_1 a_2 a_3) tptp1)))
% 139.40/140.20          (next_subocc (skS.0 13 a a_1 a_2) (skS.0 14 a a_1 a_2 a_3) tptp0))
% 139.40/140.20        True)
% 139.40/140.20  Clause #308 (by clausification #[45]): Eq
% 139.40/140.20    (∀ (X105 : Iota),
% 139.40/140.20      occurrence_of X105 tptp0 →
% 139.40/140.20        Exists fun X106 =>
% 139.40/140.20          Exists fun X107 =>
% 139.40/140.20            And
% 139.40/140.20              (And
% 139.40/140.20                (And (And (occurrence_of X106 tptp3) (root_occ X106 X105))
% 139.40/140.20                  (Or (occurrence_of X107 tptp2) (occurrence_of X107 tptp1)))
% 139.40/140.20                (min_precedes X106 X107 tptp0))
% 139.40/140.20              (leaf_occ X107 X105))
% 139.40/140.20    False
% 139.40/140.20  Clause #309 (by clausification #[308]): ∀ (a : Iota),
% 139.40/140.20    Eq
% 139.40/140.20      (Not
% 139.40/140.20        (occurrence_of (skS.0 16 a) tptp0 →
% 139.40/140.20          Exists fun X106 =>
% 139.40/140.20            Exists fun X107 =>
% 139.40/140.20              And
% 139.40/140.20                (And
% 139.40/140.20                  (And (And (occurrence_of X106 tptp3) (root_occ X106 (skS.0 16 a)))
% 139.40/140.20                    (Or (occurrence_of X107 tptp2) (occurrence_of X107 tptp1)))
% 139.40/140.20                  (min_precedes X106 X107 tptp0))
% 139.40/140.20                (leaf_occ X107 (skS.0 16 a))))
% 139.40/140.20      True
% 139.40/140.20  Clause #310 (by clausification #[309]): ∀ (a : Iota),
% 139.40/140.20    Eq
% 139.40/140.20      (occurrence_of (skS.0 16 a) tptp0 →
% 139.40/140.20        Exists fun X106 =>
% 139.40/140.20          Exists fun X107 =>
% 139.40/140.20            And
% 139.40/140.20              (And
% 139.40/140.20                (And (And (occurrence_of X106 tptp3) (root_occ X106 (skS.0 16 a)))
% 139.40/140.20                  (Or (occurrence_of X107 tptp2) (occurrence_of X107 tptp1)))
% 139.40/140.20                (min_precedes X106 X107 tptp0))
% 139.40/140.20              (leaf_occ X107 (skS.0 16 a)))
% 139.40/140.20      False
% 139.40/140.20  Clause #311 (by clausification #[310]): ∀ (a : Iota), Eq (occurrence_of (skS.0 16 a) tptp0) True
% 139.40/140.20  Clause #312 (by clausification #[310]): ∀ (a : Iota),
% 139.40/140.20    Eq
% 139.40/140.20      (Exists fun X106 =>
% 139.40/140.20        Exists fun X107 =>
% 139.40/140.20          And
% 139.40/140.20            (And
% 139.40/140.20              (And (And (occurrence_of X106 tptp3) (root_occ X106 (skS.0 16 a)))
% 139.40/140.20                (Or (occurrence_of X107 tptp2) (occurrence_of X107 tptp1)))
% 139.40/140.20              (min_precedes X106 X107 tptp0))
% 139.40/140.20            (leaf_occ X107 (skS.0 16 a)))
% 139.40/140.20      False
% 139.40/140.20  Clause #313 (by superposition #[311, 298]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq True False) (Eq (leaf_occ (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) (skS.0 16 a)) True)
% 139.40/140.20  Clause #342 (by clausification #[299]): ∀ (a a_1 a_2 a_3 : Iota),
% 139.40/140.20    Or (Eq (occurrence_of a tptp0) False) (Eq (next_subocc (skS.0 13 a a_1 a_2) (skS.0 14 a a_1 a_2 a_3) tptp0) True)
% 139.40/140.20  Clause #343 (by clausification #[299]): ∀ (a a_1 a_2 a_3 : Iota),
% 139.40/140.20    Or (Eq (occurrence_of a tptp0) False)
% 139.40/140.20      (Eq
% 139.40/140.20        (And
% 139.40/140.20          (And
% 139.40/140.20            (And (And (occurrence_of (skS.0 12 a a_1) tptp3) (root_occ (skS.0 12 a a_1) a))
% 139.40/140.20              (occurrence_of (skS.0 13 a a_1 a_2) tptp4))
% 139.40/140.20            (next_subocc (skS.0 12 a a_1) (skS.0 13 a a_1 a_2) tptp0))
% 139.40/140.20          (Or (occurrence_of (skS.0 14 a a_1 a_2 a_3) tptp2) (occurrence_of (skS.0 14 a a_1 a_2 a_3) tptp1)))
% 139.40/140.23        True)
% 139.40/140.23  Clause #344 (by superposition #[342, 311]): ∀ (a a_1 a_2 a_3 : Iota),
% 139.40/140.23    Or (Eq (next_subocc (skS.0 13 (skS.0 16 a) a_1 a_2) (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) tptp0) True) (Eq False True)
% 139.40/140.23  Clause #367 (by clausification #[312]): ∀ (a a_1 : Iota),
% 139.40/140.23    Eq
% 139.40/140.23      (Exists fun X107 =>
% 139.40/140.23        And
% 139.40/140.23          (And
% 139.40/140.23            (And (And (occurrence_of a tptp3) (root_occ a (skS.0 16 a_1)))
% 139.40/140.23              (Or (occurrence_of X107 tptp2) (occurrence_of X107 tptp1)))
% 139.40/140.23            (min_precedes a X107 tptp0))
% 139.40/140.23          (leaf_occ X107 (skS.0 16 a_1)))
% 139.40/140.23      False
% 139.40/140.23  Clause #368 (by clausification #[367]): ∀ (a a_1 a_2 : Iota),
% 139.40/140.23    Eq
% 139.40/140.23      (And
% 139.40/140.23        (And
% 139.40/140.23          (And (And (occurrence_of a tptp3) (root_occ a (skS.0 16 a_1)))
% 139.40/140.23            (Or (occurrence_of a_2 tptp2) (occurrence_of a_2 tptp1)))
% 139.40/140.23          (min_precedes a a_2 tptp0))
% 139.40/140.23        (leaf_occ a_2 (skS.0 16 a_1)))
% 139.40/140.23      False
% 139.40/140.23  Clause #369 (by clausification #[368]): ∀ (a a_1 a_2 : Iota),
% 139.40/140.23    Or
% 139.40/140.23      (Eq
% 139.40/140.23        (And
% 139.40/140.23          (And (And (occurrence_of a tptp3) (root_occ a (skS.0 16 a_1)))
% 139.40/140.23            (Or (occurrence_of a_2 tptp2) (occurrence_of a_2 tptp1)))
% 139.40/140.23          (min_precedes a a_2 tptp0))
% 139.40/140.23        False)
% 139.40/140.23      (Eq (leaf_occ a_2 (skS.0 16 a_1)) False)
% 139.40/140.23  Clause #370 (by clausification #[369]): ∀ (a a_1 a_2 : Iota),
% 139.40/140.23    Or (Eq (leaf_occ a (skS.0 16 a_1)) False)
% 139.40/140.23      (Or
% 139.40/140.23        (Eq
% 139.40/140.23          (And (And (occurrence_of a_2 tptp3) (root_occ a_2 (skS.0 16 a_1)))
% 139.40/140.23            (Or (occurrence_of a tptp2) (occurrence_of a tptp1)))
% 139.40/140.23          False)
% 139.40/140.23        (Eq (min_precedes a_2 a tptp0) False))
% 139.40/140.23  Clause #371 (by clausification #[370]): ∀ (a a_1 a_2 : Iota),
% 139.40/140.23    Or (Eq (leaf_occ a (skS.0 16 a_1)) False)
% 139.40/140.23      (Or (Eq (min_precedes a_2 a tptp0) False)
% 139.40/140.23        (Or (Eq (And (occurrence_of a_2 tptp3) (root_occ a_2 (skS.0 16 a_1))) False)
% 139.40/140.23          (Eq (Or (occurrence_of a tptp2) (occurrence_of a tptp1)) False)))
% 139.40/140.23  Clause #372 (by clausification #[371]): ∀ (a a_1 a_2 : Iota),
% 139.40/140.23    Or (Eq (leaf_occ a (skS.0 16 a_1)) False)
% 139.40/140.23      (Or (Eq (min_precedes a_2 a tptp0) False)
% 139.40/140.23        (Or (Eq (Or (occurrence_of a tptp2) (occurrence_of a tptp1)) False)
% 139.40/140.23          (Or (Eq (occurrence_of a_2 tptp3) False) (Eq (root_occ a_2 (skS.0 16 a_1)) False))))
% 139.40/140.23  Clause #373 (by clausification #[372]): ∀ (a a_1 a_2 : Iota),
% 139.40/140.23    Or (Eq (leaf_occ a (skS.0 16 a_1)) False)
% 139.40/140.23      (Or (Eq (min_precedes a_2 a tptp0) False)
% 139.40/140.23        (Or (Eq (occurrence_of a_2 tptp3) False)
% 139.40/140.23          (Or (Eq (root_occ a_2 (skS.0 16 a_1)) False) (Eq (occurrence_of a tptp1) False))))
% 139.40/140.23  Clause #374 (by clausification #[372]): ∀ (a a_1 a_2 : Iota),
% 139.40/140.23    Or (Eq (leaf_occ a (skS.0 16 a_1)) False)
% 139.40/140.23      (Or (Eq (min_precedes a_2 a tptp0) False)
% 139.40/140.23        (Or (Eq (occurrence_of a_2 tptp3) False)
% 139.40/140.23          (Or (Eq (root_occ a_2 (skS.0 16 a_1)) False) (Eq (occurrence_of a tptp2) False))))
% 139.40/140.23  Clause #382 (by clausification #[313]): ∀ (a a_1 a_2 a_3 : Iota), Eq (leaf_occ (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) (skS.0 16 a)) True
% 139.40/140.23  Clause #384 (by superposition #[382, 373]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 139.40/140.23    Or (Eq True False)
% 139.40/140.23      (Or (Eq (min_precedes a (skS.0 14 (skS.0 16 a_1) a_2 a_3 a_4) tptp0) False)
% 139.40/140.23        (Or (Eq (occurrence_of a tptp3) False)
% 139.40/140.23          (Or (Eq (root_occ a (skS.0 16 a_1)) False)
% 139.40/140.23            (Eq (occurrence_of (skS.0 14 (skS.0 16 a_1) a_2 a_3 a_4) tptp1) False))))
% 139.40/140.23  Clause #387 (by superposition #[382, 286]): ∀ (a a_1 a_2 a_3 : Iota),
% 139.40/140.23    Or (Eq True False) (Eq (subactivity_occurrence (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) (skS.0 16 a)) True)
% 139.40/140.23  Clause #400 (by clausification #[387]): ∀ (a a_1 a_2 a_3 : Iota), Eq (subactivity_occurrence (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) (skS.0 16 a)) True
% 139.40/140.23  Clause #401 (by superposition #[400, 108]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 139.40/140.23    Or (Eq (subactivity_occurrence a (skS.0 16 a_1)) True)
% 139.40/140.23      (Or (Eq True False)
% 139.40/140.23        (Or (Eq (min_precedes a (skS.0 14 (skS.0 16 a_1) a_2 a_3 a_4) a_5) False)
% 139.40/140.23          (Eq (occurrence_of (skS.0 16 a_1) a_5) False)))
% 139.40/140.23  Clause #407 (by clausification #[343]): ∀ (a a_1 a_2 a_3 : Iota),
% 139.40/140.23    Or (Eq (occurrence_of a tptp0) False)
% 139.40/140.23      (Eq (Or (occurrence_of (skS.0 14 a a_1 a_2 a_3) tptp2) (occurrence_of (skS.0 14 a a_1 a_2 a_3) tptp1)) True)
% 139.50/140.25  Clause #408 (by clausification #[343]): ∀ (a a_1 a_2 : Iota),
% 139.50/140.25    Or (Eq (occurrence_of a tptp0) False)
% 139.50/140.25      (Eq
% 139.50/140.25        (And
% 139.50/140.25          (And (And (occurrence_of (skS.0 12 a a_1) tptp3) (root_occ (skS.0 12 a a_1) a))
% 139.50/140.25            (occurrence_of (skS.0 13 a a_1 a_2) tptp4))
% 139.50/140.25          (next_subocc (skS.0 12 a a_1) (skS.0 13 a a_1 a_2) tptp0))
% 139.50/140.25        True)
% 139.50/140.25  Clause #409 (by clausification #[407]): ∀ (a a_1 a_2 a_3 : Iota),
% 139.50/140.25    Or (Eq (occurrence_of a tptp0) False)
% 139.50/140.25      (Or (Eq (occurrence_of (skS.0 14 a a_1 a_2 a_3) tptp2) True)
% 139.50/140.25        (Eq (occurrence_of (skS.0 14 a a_1 a_2 a_3) tptp1) True))
% 139.50/140.25  Clause #410 (by superposition #[409, 311]): ∀ (a a_1 a_2 a_3 : Iota),
% 139.50/140.25    Or (Eq (occurrence_of (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) tptp2) True)
% 139.50/140.25      (Or (Eq (occurrence_of (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) tptp1) True) (Eq False True))
% 139.50/140.25  Clause #415 (by superposition #[374, 382]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 139.50/140.25    Or (Eq True False)
% 139.50/140.25      (Or (Eq (min_precedes a (skS.0 14 (skS.0 16 a_1) a_2 a_3 a_4) tptp0) False)
% 139.50/140.25        (Or (Eq (occurrence_of a tptp3) False)
% 139.50/140.25          (Or (Eq (root_occ a (skS.0 16 a_1)) False)
% 139.50/140.25            (Eq (occurrence_of (skS.0 14 (skS.0 16 a_1) a_2 a_3 a_4) tptp2) False))))
% 139.50/140.25  Clause #416 (by clausification #[344]): ∀ (a a_1 a_2 a_3 : Iota),
% 139.50/140.25    Eq (next_subocc (skS.0 13 (skS.0 16 a) a_1 a_2) (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) tptp0) True
% 139.50/140.25  Clause #420 (by superposition #[416, 289]): ∀ (a a_1 a_2 a_3 : Iota),
% 139.50/140.25    Or (Eq True False) (Eq (min_precedes (skS.0 13 (skS.0 16 a) a_1 a_2) (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) tptp0) True)
% 139.50/140.25  Clause #425 (by clausification #[420]): ∀ (a a_1 a_2 a_3 : Iota),
% 139.50/140.25    Eq (min_precedes (skS.0 13 (skS.0 16 a) a_1 a_2) (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) tptp0) True
% 139.50/140.25  Clause #430 (by superposition #[425, 230]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 139.50/140.25    Or (Eq True False)
% 139.50/140.25      (Eq (min_precedes (skS.0 5 tptp0 (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) a_4) (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) tptp0)
% 139.50/140.25        True)
% 139.50/140.25  Clause #431 (by superposition #[425, 231]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 139.50/140.25    Or (Eq True False) (Eq (root (skS.0 5 tptp0 (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) a_4) tptp0) True)
% 139.50/140.25  Clause #438 (by clausification #[431]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (root (skS.0 5 tptp0 (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) a_4) tptp0) True
% 139.50/140.25  Clause #442 (by superposition #[438, 248]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 139.50/140.25    Or (Eq (root_occ (skS.0 5 tptp0 (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) a_4) a_5) True)
% 139.50/140.25      (Or (Eq True False)
% 139.50/140.25        (Or (Eq (occurrence_of a_5 tptp0) False)
% 139.50/140.25          (Eq (subactivity_occurrence (skS.0 5 tptp0 (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) a_4) a_5) False)))
% 139.50/140.25  Clause #492 (by clausification #[401]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 139.50/140.25    Or (Eq (subactivity_occurrence a (skS.0 16 a_1)) True)
% 139.50/140.25      (Or (Eq (min_precedes a (skS.0 14 (skS.0 16 a_1) a_2 a_3 a_4) a_5) False)
% 139.50/140.25        (Eq (occurrence_of (skS.0 16 a_1) a_5) False))
% 139.50/140.25  Clause #536 (by clausification #[410]): ∀ (a a_1 a_2 a_3 : Iota),
% 139.50/140.25    Or (Eq (occurrence_of (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) tptp2) True)
% 139.50/140.25      (Eq (occurrence_of (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) tptp1) True)
% 139.50/140.25  Clause #573 (by clausification #[384]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 139.50/140.25    Or (Eq (min_precedes a (skS.0 14 (skS.0 16 a_1) a_2 a_3 a_4) tptp0) False)
% 139.50/140.25      (Or (Eq (occurrence_of a tptp3) False)
% 139.50/140.25        (Or (Eq (root_occ a (skS.0 16 a_1)) False)
% 139.50/140.25          (Eq (occurrence_of (skS.0 14 (skS.0 16 a_1) a_2 a_3 a_4) tptp1) False)))
% 139.50/140.25  Clause #668 (by clausification #[408]): ∀ (a a_1 a_2 : Iota),
% 139.50/140.25    Or (Eq (occurrence_of a tptp0) False)
% 139.50/140.25      (Eq
% 139.50/140.25        (And (And (occurrence_of (skS.0 12 a a_1) tptp3) (root_occ (skS.0 12 a a_1) a))
% 139.50/140.25          (occurrence_of (skS.0 13 a a_1 a_2) tptp4))
% 139.50/140.25        True)
% 139.50/140.25  Clause #697 (by clausification #[415]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 139.50/140.25    Or (Eq (min_precedes a (skS.0 14 (skS.0 16 a_1) a_2 a_3 a_4) tptp0) False)
% 139.50/140.25      (Or (Eq (occurrence_of a tptp3) False)
% 139.50/140.25        (Or (Eq (root_occ a (skS.0 16 a_1)) False)
% 139.50/140.25          (Eq (occurrence_of (skS.0 14 (skS.0 16 a_1) a_2 a_3 a_4) tptp2) False)))
% 139.50/140.25  Clause #753 (by clausification #[668]): ∀ (a a_1 : Iota),
% 139.50/140.25    Or (Eq (occurrence_of a tptp0) False)
% 139.50/140.25      (Eq (And (occurrence_of (skS.0 12 a a_1) tptp3) (root_occ (skS.0 12 a a_1) a)) True)
% 139.50/140.28  Clause #779 (by clausification #[430]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 139.50/140.28    Eq (min_precedes (skS.0 5 tptp0 (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) a_4) (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) tptp0)
% 139.50/140.28      True
% 139.50/140.28  Clause #781 (by superposition #[779, 697]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 139.50/140.28    Or (Eq True False)
% 139.50/140.28      (Or (Eq (occurrence_of (skS.0 5 tptp0 (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) a_4) tptp3) False)
% 139.50/140.28        (Or (Eq (root_occ (skS.0 5 tptp0 (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) a_4) (skS.0 16 a)) False)
% 139.50/140.28          (Eq (occurrence_of (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) tptp2) False)))
% 139.50/140.28  Clause #782 (by superposition #[779, 492]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 139.50/140.28    Or (Eq (subactivity_occurrence (skS.0 5 tptp0 (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) a_4) (skS.0 16 a)) True)
% 139.50/140.28      (Or (Eq True False) (Eq (occurrence_of (skS.0 16 a) tptp0) False))
% 139.50/140.28  Clause #793 (by clausification #[753]): ∀ (a a_1 : Iota), Or (Eq (occurrence_of a tptp0) False) (Eq (root_occ (skS.0 12 a a_1) a) True)
% 139.50/140.28  Clause #794 (by clausification #[753]): ∀ (a a_1 : Iota), Or (Eq (occurrence_of a tptp0) False) (Eq (occurrence_of (skS.0 12 a a_1) tptp3) True)
% 139.50/140.28  Clause #795 (by superposition #[793, 311]): ∀ (a a_1 : Iota), Or (Eq (root_occ (skS.0 12 (skS.0 16 a) a_1) (skS.0 16 a)) True) (Eq False True)
% 139.50/140.28  Clause #797 (by superposition #[794, 311]): ∀ (a a_1 : Iota), Or (Eq (occurrence_of (skS.0 12 (skS.0 16 a) a_1) tptp3) True) (Eq False True)
% 139.50/140.28  Clause #801 (by clausification #[797]): ∀ (a a_1 : Iota), Eq (occurrence_of (skS.0 12 (skS.0 16 a) a_1) tptp3) True
% 139.50/140.28  Clause #822 (by clausification #[795]): ∀ (a a_1 : Iota), Eq (root_occ (skS.0 12 (skS.0 16 a) a_1) (skS.0 16 a)) True
% 139.50/140.28  Clause #824 (by superposition #[822, 160]): ∀ (a a_1 a_2 a_3 : Iota),
% 139.50/140.28    Or (Eq True False)
% 139.50/140.28      (Or (Eq a (skS.0 12 (skS.0 16 a_1) a_2))
% 139.50/140.28        (Or (Eq (occurrence_of (skS.0 16 a_1) a_3) False) (Eq (root_occ a (skS.0 16 a_1)) False)))
% 139.50/140.28  Clause #847 (by clausification #[824]): ∀ (a a_1 a_2 a_3 : Iota),
% 139.50/140.28    Or (Eq a (skS.0 12 (skS.0 16 a_1) a_2))
% 139.50/140.28      (Or (Eq (occurrence_of (skS.0 16 a_1) a_3) False) (Eq (root_occ a (skS.0 16 a_1)) False))
% 139.50/140.28  Clause #848 (by superposition #[847, 311]): ∀ (a a_1 a_2 : Iota),
% 139.50/140.28    Or (Eq a (skS.0 12 (skS.0 16 a_1) a_2)) (Or (Eq (root_occ a (skS.0 16 a_1)) False) (Eq False True))
% 139.50/140.28  Clause #849 (by clausification #[848]): ∀ (a a_1 a_2 : Iota), Or (Eq a (skS.0 12 (skS.0 16 a_1) a_2)) (Eq (root_occ a (skS.0 16 a_1)) False)
% 139.50/140.28  Clause #899 (by clausification #[442]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 139.50/140.28    Or (Eq (root_occ (skS.0 5 tptp0 (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) a_4) a_5) True)
% 139.50/140.28      (Or (Eq (occurrence_of a_5 tptp0) False)
% 139.50/140.28        (Eq (subactivity_occurrence (skS.0 5 tptp0 (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) a_4) a_5) False))
% 139.50/140.28  Clause #900 (by superposition #[899, 311]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 139.50/140.28    Or (Eq (root_occ (skS.0 5 tptp0 (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) a_4) (skS.0 16 a_5)) True)
% 139.50/140.28      (Or (Eq (subactivity_occurrence (skS.0 5 tptp0 (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) a_4) (skS.0 16 a_5)) False)
% 139.50/140.28        (Eq False True))
% 139.50/140.28  Clause #1312 (by clausification #[782]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 139.50/140.28    Or (Eq (subactivity_occurrence (skS.0 5 tptp0 (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) a_4) (skS.0 16 a)) True)
% 139.50/140.28      (Eq (occurrence_of (skS.0 16 a) tptp0) False)
% 139.50/140.28  Clause #1313 (by forward demodulation #[1312, 311]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 139.50/140.28    Or (Eq (subactivity_occurrence (skS.0 5 tptp0 (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) a_4) (skS.0 16 a)) True)
% 139.50/140.28      (Eq True False)
% 139.50/140.28  Clause #1314 (by clausification #[1313]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 139.50/140.28    Eq (subactivity_occurrence (skS.0 5 tptp0 (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) a_4) (skS.0 16 a)) True
% 139.50/140.28  Clause #2347 (by clausification #[781]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 139.50/140.28    Or (Eq (occurrence_of (skS.0 5 tptp0 (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) a_4) tptp3) False)
% 139.50/140.28      (Or (Eq (root_occ (skS.0 5 tptp0 (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) a_4) (skS.0 16 a)) False)
% 139.50/140.28        (Eq (occurrence_of (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) tptp2) False))
% 139.50/140.28  Clause #2745 (by clausification #[900]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 139.59/140.34    Or (Eq (root_occ (skS.0 5 tptp0 (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) a_4) (skS.0 16 a_5)) True)
% 139.59/140.34      (Eq (subactivity_occurrence (skS.0 5 tptp0 (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) a_4) (skS.0 16 a_5)) False)
% 139.59/140.34  Clause #2746 (by superposition #[2745, 1314]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 139.59/140.34    Or (Eq (root_occ (skS.0 5 tptp0 (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) a_4) (skS.0 16 a)) True) (Eq False True)
% 139.59/140.34  Clause #2747 (by clausification #[2746]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (root_occ (skS.0 5 tptp0 (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) a_4) (skS.0 16 a)) True
% 139.59/140.34  Clause #2749 (by superposition #[2747, 849]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 139.59/140.34    Or (Eq (skS.0 5 tptp0 (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) a_4) (skS.0 12 (skS.0 16 a) a_5)) (Eq True False)
% 139.59/140.34  Clause #2756 (by clausification #[2749]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Eq (skS.0 5 tptp0 (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) a_4) (skS.0 12 (skS.0 16 a) a_5)
% 139.59/140.34  Clause #2757 (by superposition #[2756, 779]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 139.59/140.34    Eq (min_precedes (skS.0 12 (skS.0 16 a) a_1) (skS.0 14 (skS.0 16 a) a_2 a_3 a_4) tptp0) True
% 139.59/140.34  Clause #2773 (by superposition #[2756, 801]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (occurrence_of (skS.0 5 tptp0 (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) a_4) tptp3) True
% 139.59/140.34  Clause #2836 (by backward demodulation #[2773, 2347]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 139.59/140.34    Or (Eq True False)
% 139.59/140.34      (Or (Eq (root_occ (skS.0 5 tptp0 (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) a_4) (skS.0 16 a)) False)
% 139.59/140.34        (Eq (occurrence_of (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) tptp2) False))
% 139.59/140.34  Clause #3246 (by clausification #[2836]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 139.59/140.34    Or (Eq (root_occ (skS.0 5 tptp0 (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) a_4) (skS.0 16 a)) False)
% 139.59/140.34      (Eq (occurrence_of (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) tptp2) False)
% 139.59/140.34  Clause #3247 (by superposition #[3246, 2747]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (occurrence_of (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) tptp2) False) (Eq False True)
% 139.59/140.34  Clause #3249 (by clausification #[3247]): ∀ (a a_1 a_2 a_3 : Iota), Eq (occurrence_of (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) tptp2) False
% 139.59/140.34  Clause #3251 (by superposition #[3249, 536]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq False True) (Eq (occurrence_of (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) tptp1) True)
% 139.59/140.34  Clause #3252 (by clausification #[3251]): ∀ (a a_1 a_2 a_3 : Iota), Eq (occurrence_of (skS.0 14 (skS.0 16 a) a_1 a_2 a_3) tptp1) True
% 139.59/140.34  Clause #3254 (by backward demodulation #[3252, 573]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 139.59/140.34    Or (Eq (min_precedes a (skS.0 14 (skS.0 16 a_1) a_2 a_3 a_4) tptp0) False)
% 139.59/140.34      (Or (Eq (occurrence_of a tptp3) False) (Or (Eq (root_occ a (skS.0 16 a_1)) False) (Eq True False)))
% 139.59/140.34  Clause #3304 (by clausification #[3254]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 139.59/140.34    Or (Eq (min_precedes a (skS.0 14 (skS.0 16 a_1) a_2 a_3 a_4) tptp0) False)
% 139.59/140.34      (Or (Eq (occurrence_of a tptp3) False) (Eq (root_occ a (skS.0 16 a_1)) False))
% 139.59/140.34  Clause #3308 (by superposition #[3304, 2757]): ∀ (a a_1 : Iota),
% 139.59/140.34    Or (Eq (occurrence_of (skS.0 12 (skS.0 16 a) a_1) tptp3) False)
% 139.59/140.34      (Or (Eq (root_occ (skS.0 12 (skS.0 16 a) a_1) (skS.0 16 a)) False) (Eq False True))
% 139.59/140.34  Clause #3313 (by clausification #[3308]): ∀ (a a_1 : Iota),
% 139.59/140.34    Or (Eq (occurrence_of (skS.0 12 (skS.0 16 a) a_1) tptp3) False)
% 139.59/140.34      (Eq (root_occ (skS.0 12 (skS.0 16 a) a_1) (skS.0 16 a)) False)
% 139.59/140.34  Clause #3314 (by forward demodulation #[3313, 801]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (root_occ (skS.0 12 (skS.0 16 a) a_1) (skS.0 16 a)) False)
% 139.59/140.34  Clause #3315 (by clausification #[3314]): ∀ (a a_1 : Iota), Eq (root_occ (skS.0 12 (skS.0 16 a) a_1) (skS.0 16 a)) False
% 139.59/140.34  Clause #3316 (by superposition #[3315, 822]): Eq False True
% 139.59/140.34  Clause #3317 (by clausification #[3316]): False
% 139.59/140.34  SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------