TSTP Solution File: PUZ093^5 by Duper---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : PUZ093^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n021.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 13:14:43 EDT 2023

% Result   : Theorem 4.99s 5.19s
% Output   : Proof 5.29s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : PUZ093^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command    : duper %s
% 0.13/0.35  % Computer : n021.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sat Aug 26 22:04:57 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 4.99/5.19  SZS status Theorem for theBenchmark.p
% 4.99/5.19  SZS output start Proof for theBenchmark.p
% 4.99/5.19  Clause #0 (by assumption #[]): Eq
% 4.99/5.19    (Not
% 4.99/5.19      (Exists fun Xa =>
% 4.99/5.19        Exists fun Xaa =>
% 4.99/5.19          Exists fun Xb =>
% 4.99/5.19            Exists fun Xbb =>
% 4.99/5.19              Exists fun Xc =>
% 4.99/5.19                Exists fun Xcc =>
% 4.99/5.19                  Exists fun Xd =>
% 4.99/5.19                    Exists fun Xdd =>
% 4.99/5.19                      Exists fun Xe =>
% 4.99/5.19                        Exists fun Xee =>
% 4.99/5.19                          Exists fun Xh =>
% 4.99/5.19                            Exists fun Xhh =>
% 4.99/5.19                              ∀ (P : Iota → Iota),
% 4.99/5.19                                And
% 4.99/5.19                                    (And
% 4.99/5.19                                      (And
% 4.99/5.19                                        (And
% 4.99/5.19                                          (And
% 4.99/5.19                                            (And (And (Eq (P Xa) (P Xaa)) (Eq (P Xb) (P Xbb))) (Eq (P Xe) (P Xhh)) →
% 4.99/5.19                                              Eq (P Xc) (P Xdd))
% 4.99/5.19                                            (And (And (Eq (P Xa) (P Xaa)) (Eq (P Xh) (P Xhh))) (Eq (P Xb) (P Xcc)) →
% 4.99/5.19                                              Ne (P Xd) (P Xee)))
% 4.99/5.19                                          (And (And (And (Eq (P Xc) (P Xcc)) (Eq (P Xcc) (P Xd))) (Eq (P Xd) (P Xdd)))
% 4.99/5.19                                              (Ne (P Xa) (P Xbb)) →
% 4.99/5.19                                            Ne (P Xe) (P Xhh)))
% 4.99/5.19                                        (And (And (Eq (P Xa) (P Xaa)) (Eq (P Xd) (P Xdd))) (Ne (P Xb) (P Xcc)) →
% 4.99/5.19                                          Eq (P Xe) (P Xhh)))
% 4.99/5.19                                      (And (And (Eq (P Xe) (P Xee)) (Eq (P Xh) (P Xhh))) (Eq (P Xc) (P Xdd)) →
% 4.99/5.19                                        Ne (P Xa) (P Xbb)))
% 4.99/5.19                                    (And (And (And (Eq (P Xb) (P Xbb)) (Eq (P Xbb) (P Xc))) (Eq (P Xc) (P Xcc)))
% 4.99/5.19                                        (Ne (P Xe) (P Xhh)) →
% 4.99/5.19                                      Eq (P Xd) (P Xee)) →
% 4.99/5.19                                  Or
% 4.99/5.19                                    (Or
% 4.99/5.19                                      (Or (Or (Or (Ne (P Xa) (P Xaa)) (Ne (P Xb) (P Xbb))) (Ne (P Xc) (P Xcc)))
% 4.99/5.19                                        (Ne (P Xd) (P Xdd)))
% 4.99/5.19                                      (Ne (P Xe) (P Xee)))
% 4.99/5.19                                    (Ne (P Xh) (P Xhh))))
% 4.99/5.19    True
% 4.99/5.19  Clause #1 (by clausification #[0]): Eq
% 4.99/5.19    (Exists fun Xa =>
% 4.99/5.19      Exists fun Xaa =>
% 4.99/5.19        Exists fun Xb =>
% 4.99/5.19          Exists fun Xbb =>
% 4.99/5.19            Exists fun Xc =>
% 4.99/5.19              Exists fun Xcc =>
% 4.99/5.19                Exists fun Xd =>
% 4.99/5.19                  Exists fun Xdd =>
% 4.99/5.19                    Exists fun Xe =>
% 4.99/5.19                      Exists fun Xee =>
% 4.99/5.19                        Exists fun Xh =>
% 4.99/5.19                          Exists fun Xhh =>
% 4.99/5.19                            ∀ (P : Iota → Iota),
% 4.99/5.19                              And
% 4.99/5.19                                  (And
% 4.99/5.19                                    (And
% 4.99/5.19                                      (And
% 4.99/5.19                                        (And
% 4.99/5.19                                          (And (And (Eq (P Xa) (P Xaa)) (Eq (P Xb) (P Xbb))) (Eq (P Xe) (P Xhh)) →
% 4.99/5.19                                            Eq (P Xc) (P Xdd))
% 4.99/5.19                                          (And (And (Eq (P Xa) (P Xaa)) (Eq (P Xh) (P Xhh))) (Eq (P Xb) (P Xcc)) →
% 4.99/5.19                                            Ne (P Xd) (P Xee)))
% 4.99/5.19                                        (And (And (And (Eq (P Xc) (P Xcc)) (Eq (P Xcc) (P Xd))) (Eq (P Xd) (P Xdd)))
% 4.99/5.19                                            (Ne (P Xa) (P Xbb)) →
% 4.99/5.19                                          Ne (P Xe) (P Xhh)))
% 4.99/5.19                                      (And (And (Eq (P Xa) (P Xaa)) (Eq (P Xd) (P Xdd))) (Ne (P Xb) (P Xcc)) →
% 4.99/5.19                                        Eq (P Xe) (P Xhh)))
% 4.99/5.19                                    (And (And (Eq (P Xe) (P Xee)) (Eq (P Xh) (P Xhh))) (Eq (P Xc) (P Xdd)) →
% 4.99/5.19                                      Ne (P Xa) (P Xbb)))
% 4.99/5.19                                  (And (And (And (Eq (P Xb) (P Xbb)) (Eq (P Xbb) (P Xc))) (Eq (P Xc) (P Xcc)))
% 4.99/5.19                                      (Ne (P Xe) (P Xhh)) →
% 4.99/5.19                                    Eq (P Xd) (P Xee)) →
% 5.04/5.21                                Or
% 5.04/5.21                                  (Or
% 5.04/5.21                                    (Or (Or (Or (Ne (P Xa) (P Xaa)) (Ne (P Xb) (P Xbb))) (Ne (P Xc) (P Xcc)))
% 5.04/5.21                                      (Ne (P Xd) (P Xdd)))
% 5.04/5.21                                    (Ne (P Xe) (P Xee)))
% 5.04/5.21                                  (Ne (P Xh) (P Xhh)))
% 5.04/5.21    False
% 5.04/5.21  Clause #2 (by clausification #[1]): ∀ (a : Iota),
% 5.04/5.21    Eq
% 5.04/5.21      (Exists fun Xaa =>
% 5.04/5.21        Exists fun Xb =>
% 5.04/5.21          Exists fun Xbb =>
% 5.04/5.21            Exists fun Xc =>
% 5.04/5.21              Exists fun Xcc =>
% 5.04/5.21                Exists fun Xd =>
% 5.04/5.21                  Exists fun Xdd =>
% 5.04/5.21                    Exists fun Xe =>
% 5.04/5.21                      Exists fun Xee =>
% 5.04/5.21                        Exists fun Xh =>
% 5.04/5.21                          Exists fun Xhh =>
% 5.04/5.21                            ∀ (P : Iota → Iota),
% 5.04/5.21                              And
% 5.04/5.21                                  (And
% 5.04/5.21                                    (And
% 5.04/5.21                                      (And
% 5.04/5.21                                        (And
% 5.04/5.21                                          (And (And (Eq (P a) (P Xaa)) (Eq (P Xb) (P Xbb))) (Eq (P Xe) (P Xhh)) →
% 5.04/5.21                                            Eq (P Xc) (P Xdd))
% 5.04/5.21                                          (And (And (Eq (P a) (P Xaa)) (Eq (P Xh) (P Xhh))) (Eq (P Xb) (P Xcc)) →
% 5.04/5.21                                            Ne (P Xd) (P Xee)))
% 5.04/5.21                                        (And (And (And (Eq (P Xc) (P Xcc)) (Eq (P Xcc) (P Xd))) (Eq (P Xd) (P Xdd)))
% 5.04/5.21                                            (Ne (P a) (P Xbb)) →
% 5.04/5.21                                          Ne (P Xe) (P Xhh)))
% 5.04/5.21                                      (And (And (Eq (P a) (P Xaa)) (Eq (P Xd) (P Xdd))) (Ne (P Xb) (P Xcc)) →
% 5.04/5.21                                        Eq (P Xe) (P Xhh)))
% 5.04/5.21                                    (And (And (Eq (P Xe) (P Xee)) (Eq (P Xh) (P Xhh))) (Eq (P Xc) (P Xdd)) →
% 5.04/5.21                                      Ne (P a) (P Xbb)))
% 5.04/5.21                                  (And (And (And (Eq (P Xb) (P Xbb)) (Eq (P Xbb) (P Xc))) (Eq (P Xc) (P Xcc)))
% 5.04/5.21                                      (Ne (P Xe) (P Xhh)) →
% 5.04/5.21                                    Eq (P Xd) (P Xee)) →
% 5.04/5.21                                Or
% 5.04/5.21                                  (Or
% 5.04/5.21                                    (Or (Or (Or (Ne (P a) (P Xaa)) (Ne (P Xb) (P Xbb))) (Ne (P Xc) (P Xcc)))
% 5.04/5.21                                      (Ne (P Xd) (P Xdd)))
% 5.04/5.21                                    (Ne (P Xe) (P Xee)))
% 5.04/5.21                                  (Ne (P Xh) (P Xhh)))
% 5.04/5.21      False
% 5.04/5.21  Clause #3 (by clausification #[2]): ∀ (a a_1 : Iota),
% 5.04/5.21    Eq
% 5.04/5.21      (Exists fun Xb =>
% 5.04/5.21        Exists fun Xbb =>
% 5.04/5.21          Exists fun Xc =>
% 5.04/5.21            Exists fun Xcc =>
% 5.04/5.21              Exists fun Xd =>
% 5.04/5.21                Exists fun Xdd =>
% 5.04/5.21                  Exists fun Xe =>
% 5.04/5.21                    Exists fun Xee =>
% 5.04/5.21                      Exists fun Xh =>
% 5.04/5.21                        Exists fun Xhh =>
% 5.04/5.21                          ∀ (P : Iota → Iota),
% 5.04/5.21                            And
% 5.04/5.21                                (And
% 5.04/5.21                                  (And
% 5.04/5.21                                    (And
% 5.04/5.21                                      (And
% 5.04/5.21                                        (And (And (Eq (P a) (P a_1)) (Eq (P Xb) (P Xbb))) (Eq (P Xe) (P Xhh)) →
% 5.04/5.21                                          Eq (P Xc) (P Xdd))
% 5.04/5.21                                        (And (And (Eq (P a) (P a_1)) (Eq (P Xh) (P Xhh))) (Eq (P Xb) (P Xcc)) →
% 5.04/5.21                                          Ne (P Xd) (P Xee)))
% 5.04/5.21                                      (And (And (And (Eq (P Xc) (P Xcc)) (Eq (P Xcc) (P Xd))) (Eq (P Xd) (P Xdd)))
% 5.04/5.21                                          (Ne (P a) (P Xbb)) →
% 5.04/5.21                                        Ne (P Xe) (P Xhh)))
% 5.04/5.21                                    (And (And (Eq (P a) (P a_1)) (Eq (P Xd) (P Xdd))) (Ne (P Xb) (P Xcc)) →
% 5.04/5.21                                      Eq (P Xe) (P Xhh)))
% 5.04/5.21                                  (And (And (Eq (P Xe) (P Xee)) (Eq (P Xh) (P Xhh))) (Eq (P Xc) (P Xdd)) →
% 5.04/5.21                                    Ne (P a) (P Xbb)))
% 5.04/5.21                                (And (And (And (Eq (P Xb) (P Xbb)) (Eq (P Xbb) (P Xc))) (Eq (P Xc) (P Xcc)))
% 5.04/5.23                                    (Ne (P Xe) (P Xhh)) →
% 5.04/5.23                                  Eq (P Xd) (P Xee)) →
% 5.04/5.23                              Or
% 5.04/5.23                                (Or
% 5.04/5.23                                  (Or (Or (Or (Ne (P a) (P a_1)) (Ne (P Xb) (P Xbb))) (Ne (P Xc) (P Xcc)))
% 5.04/5.23                                    (Ne (P Xd) (P Xdd)))
% 5.04/5.23                                  (Ne (P Xe) (P Xee)))
% 5.04/5.23                                (Ne (P Xh) (P Xhh)))
% 5.04/5.23      False
% 5.04/5.23  Clause #4 (by clausification #[3]): ∀ (a a_1 a_2 : Iota),
% 5.04/5.23    Eq
% 5.04/5.23      (Exists fun Xbb =>
% 5.04/5.23        Exists fun Xc =>
% 5.04/5.23          Exists fun Xcc =>
% 5.04/5.23            Exists fun Xd =>
% 5.04/5.23              Exists fun Xdd =>
% 5.04/5.23                Exists fun Xe =>
% 5.04/5.23                  Exists fun Xee =>
% 5.04/5.23                    Exists fun Xh =>
% 5.04/5.23                      Exists fun Xhh =>
% 5.04/5.23                        ∀ (P : Iota → Iota),
% 5.04/5.23                          And
% 5.04/5.23                              (And
% 5.04/5.23                                (And
% 5.04/5.23                                  (And
% 5.04/5.23                                    (And
% 5.04/5.23                                      (And (And (Eq (P a) (P a_1)) (Eq (P a_2) (P Xbb))) (Eq (P Xe) (P Xhh)) →
% 5.04/5.23                                        Eq (P Xc) (P Xdd))
% 5.04/5.23                                      (And (And (Eq (P a) (P a_1)) (Eq (P Xh) (P Xhh))) (Eq (P a_2) (P Xcc)) →
% 5.04/5.23                                        Ne (P Xd) (P Xee)))
% 5.04/5.23                                    (And (And (And (Eq (P Xc) (P Xcc)) (Eq (P Xcc) (P Xd))) (Eq (P Xd) (P Xdd)))
% 5.04/5.23                                        (Ne (P a) (P Xbb)) →
% 5.04/5.23                                      Ne (P Xe) (P Xhh)))
% 5.04/5.23                                  (And (And (Eq (P a) (P a_1)) (Eq (P Xd) (P Xdd))) (Ne (P a_2) (P Xcc)) →
% 5.04/5.23                                    Eq (P Xe) (P Xhh)))
% 5.04/5.23                                (And (And (Eq (P Xe) (P Xee)) (Eq (P Xh) (P Xhh))) (Eq (P Xc) (P Xdd)) →
% 5.04/5.23                                  Ne (P a) (P Xbb)))
% 5.04/5.23                              (And (And (And (Eq (P a_2) (P Xbb)) (Eq (P Xbb) (P Xc))) (Eq (P Xc) (P Xcc)))
% 5.04/5.23                                  (Ne (P Xe) (P Xhh)) →
% 5.04/5.23                                Eq (P Xd) (P Xee)) →
% 5.04/5.23                            Or
% 5.04/5.23                              (Or
% 5.04/5.23                                (Or (Or (Or (Ne (P a) (P a_1)) (Ne (P a_2) (P Xbb))) (Ne (P Xc) (P Xcc)))
% 5.04/5.23                                  (Ne (P Xd) (P Xdd)))
% 5.04/5.23                                (Ne (P Xe) (P Xee)))
% 5.04/5.23                              (Ne (P Xh) (P Xhh)))
% 5.04/5.23      False
% 5.04/5.23  Clause #5 (by clausification #[4]): ∀ (a a_1 a_2 a_3 : Iota),
% 5.04/5.23    Eq
% 5.04/5.23      (Exists fun Xc =>
% 5.04/5.23        Exists fun Xcc =>
% 5.04/5.23          Exists fun Xd =>
% 5.04/5.23            Exists fun Xdd =>
% 5.04/5.23              Exists fun Xe =>
% 5.04/5.23                Exists fun Xee =>
% 5.04/5.23                  Exists fun Xh =>
% 5.04/5.23                    Exists fun Xhh =>
% 5.04/5.23                      ∀ (P : Iota → Iota),
% 5.04/5.23                        And
% 5.04/5.23                            (And
% 5.04/5.23                              (And
% 5.04/5.23                                (And
% 5.04/5.23                                  (And
% 5.04/5.23                                    (And (And (Eq (P a) (P a_1)) (Eq (P a_2) (P a_3))) (Eq (P Xe) (P Xhh)) →
% 5.04/5.23                                      Eq (P Xc) (P Xdd))
% 5.04/5.23                                    (And (And (Eq (P a) (P a_1)) (Eq (P Xh) (P Xhh))) (Eq (P a_2) (P Xcc)) →
% 5.04/5.23                                      Ne (P Xd) (P Xee)))
% 5.04/5.23                                  (And (And (And (Eq (P Xc) (P Xcc)) (Eq (P Xcc) (P Xd))) (Eq (P Xd) (P Xdd)))
% 5.04/5.23                                      (Ne (P a) (P a_3)) →
% 5.04/5.23                                    Ne (P Xe) (P Xhh)))
% 5.04/5.23                                (And (And (Eq (P a) (P a_1)) (Eq (P Xd) (P Xdd))) (Ne (P a_2) (P Xcc)) →
% 5.04/5.23                                  Eq (P Xe) (P Xhh)))
% 5.04/5.23                              (And (And (Eq (P Xe) (P Xee)) (Eq (P Xh) (P Xhh))) (Eq (P Xc) (P Xdd)) → Ne (P a) (P a_3)))
% 5.04/5.23                            (And (And (And (Eq (P a_2) (P a_3)) (Eq (P a_3) (P Xc))) (Eq (P Xc) (P Xcc)))
% 5.04/5.23                                (Ne (P Xe) (P Xhh)) →
% 5.04/5.23                              Eq (P Xd) (P Xee)) →
% 5.04/5.23                          Or
% 5.04/5.23                            (Or
% 5.04/5.23                              (Or (Or (Or (Ne (P a) (P a_1)) (Ne (P a_2) (P a_3))) (Ne (P Xc) (P Xcc)))
% 5.09/5.26                                (Ne (P Xd) (P Xdd)))
% 5.09/5.26                              (Ne (P Xe) (P Xee)))
% 5.09/5.26                            (Ne (P Xh) (P Xhh)))
% 5.09/5.26      False
% 5.09/5.26  Clause #6 (by clausification #[5]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 5.09/5.26    Eq
% 5.09/5.26      (Exists fun Xcc =>
% 5.09/5.26        Exists fun Xd =>
% 5.09/5.26          Exists fun Xdd =>
% 5.09/5.26            Exists fun Xe =>
% 5.09/5.26              Exists fun Xee =>
% 5.09/5.26                Exists fun Xh =>
% 5.09/5.26                  Exists fun Xhh =>
% 5.09/5.26                    ∀ (P : Iota → Iota),
% 5.09/5.26                      And
% 5.09/5.26                          (And
% 5.09/5.26                            (And
% 5.09/5.26                              (And
% 5.09/5.26                                (And
% 5.09/5.26                                  (And (And (Eq (P a) (P a_1)) (Eq (P a_2) (P a_3))) (Eq (P Xe) (P Xhh)) →
% 5.09/5.26                                    Eq (P a_4) (P Xdd))
% 5.09/5.26                                  (And (And (Eq (P a) (P a_1)) (Eq (P Xh) (P Xhh))) (Eq (P a_2) (P Xcc)) →
% 5.09/5.26                                    Ne (P Xd) (P Xee)))
% 5.09/5.26                                (And (And (And (Eq (P a_4) (P Xcc)) (Eq (P Xcc) (P Xd))) (Eq (P Xd) (P Xdd)))
% 5.09/5.26                                    (Ne (P a) (P a_3)) →
% 5.09/5.26                                  Ne (P Xe) (P Xhh)))
% 5.09/5.26                              (And (And (Eq (P a) (P a_1)) (Eq (P Xd) (P Xdd))) (Ne (P a_2) (P Xcc)) → Eq (P Xe) (P Xhh)))
% 5.09/5.26                            (And (And (Eq (P Xe) (P Xee)) (Eq (P Xh) (P Xhh))) (Eq (P a_4) (P Xdd)) → Ne (P a) (P a_3)))
% 5.09/5.26                          (And (And (And (Eq (P a_2) (P a_3)) (Eq (P a_3) (P a_4))) (Eq (P a_4) (P Xcc)))
% 5.09/5.26                              (Ne (P Xe) (P Xhh)) →
% 5.09/5.26                            Eq (P Xd) (P Xee)) →
% 5.09/5.26                        Or
% 5.09/5.26                          (Or
% 5.09/5.26                            (Or (Or (Or (Ne (P a) (P a_1)) (Ne (P a_2) (P a_3))) (Ne (P a_4) (P Xcc)))
% 5.09/5.26                              (Ne (P Xd) (P Xdd)))
% 5.09/5.26                            (Ne (P Xe) (P Xee)))
% 5.09/5.26                          (Ne (P Xh) (P Xhh)))
% 5.09/5.26      False
% 5.09/5.26  Clause #7 (by clausification #[6]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 5.09/5.26    Eq
% 5.09/5.26      (Exists fun Xd =>
% 5.09/5.26        Exists fun Xdd =>
% 5.09/5.26          Exists fun Xe =>
% 5.09/5.26            Exists fun Xee =>
% 5.09/5.26              Exists fun Xh =>
% 5.09/5.26                Exists fun Xhh =>
% 5.09/5.26                  ∀ (P : Iota → Iota),
% 5.09/5.26                    And
% 5.09/5.26                        (And
% 5.09/5.26                          (And
% 5.09/5.26                            (And
% 5.09/5.26                              (And
% 5.09/5.26                                (And (And (Eq (P a) (P a_1)) (Eq (P a_2) (P a_3))) (Eq (P Xe) (P Xhh)) →
% 5.09/5.26                                  Eq (P a_4) (P Xdd))
% 5.09/5.26                                (And (And (Eq (P a) (P a_1)) (Eq (P Xh) (P Xhh))) (Eq (P a_2) (P a_5)) →
% 5.09/5.26                                  Ne (P Xd) (P Xee)))
% 5.09/5.26                              (And (And (And (Eq (P a_4) (P a_5)) (Eq (P a_5) (P Xd))) (Eq (P Xd) (P Xdd)))
% 5.09/5.26                                  (Ne (P a) (P a_3)) →
% 5.09/5.26                                Ne (P Xe) (P Xhh)))
% 5.09/5.26                            (And (And (Eq (P a) (P a_1)) (Eq (P Xd) (P Xdd))) (Ne (P a_2) (P a_5)) → Eq (P Xe) (P Xhh)))
% 5.09/5.26                          (And (And (Eq (P Xe) (P Xee)) (Eq (P Xh) (P Xhh))) (Eq (P a_4) (P Xdd)) → Ne (P a) (P a_3)))
% 5.09/5.26                        (And (And (And (Eq (P a_2) (P a_3)) (Eq (P a_3) (P a_4))) (Eq (P a_4) (P a_5)))
% 5.09/5.26                            (Ne (P Xe) (P Xhh)) →
% 5.09/5.26                          Eq (P Xd) (P Xee)) →
% 5.09/5.26                      Or
% 5.09/5.26                        (Or
% 5.09/5.26                          (Or (Or (Or (Ne (P a) (P a_1)) (Ne (P a_2) (P a_3))) (Ne (P a_4) (P a_5))) (Ne (P Xd) (P Xdd)))
% 5.09/5.26                          (Ne (P Xe) (P Xee)))
% 5.09/5.26                        (Ne (P Xh) (P Xhh)))
% 5.09/5.26      False
% 5.09/5.26  Clause #8 (by clausification #[7]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 5.09/5.26    Eq
% 5.09/5.26      (Exists fun Xdd =>
% 5.09/5.26        Exists fun Xe =>
% 5.09/5.26          Exists fun Xee =>
% 5.09/5.26            Exists fun Xh =>
% 5.09/5.26              Exists fun Xhh =>
% 5.09/5.26                ∀ (P : Iota → Iota),
% 5.09/5.26                  And
% 5.09/5.26                      (And
% 5.09/5.26                        (And
% 5.09/5.26                          (And
% 5.09/5.26                            (And
% 5.09/5.26                              (And (And (Eq (P a) (P a_1)) (Eq (P a_2) (P a_3))) (Eq (P Xe) (P Xhh)) → Eq (P a_4) (P Xdd))
% 5.09/5.29                              (And (And (Eq (P a) (P a_1)) (Eq (P Xh) (P Xhh))) (Eq (P a_2) (P a_5)) →
% 5.09/5.29                                Ne (P a_6) (P Xee)))
% 5.09/5.29                            (And (And (And (Eq (P a_4) (P a_5)) (Eq (P a_5) (P a_6))) (Eq (P a_6) (P Xdd)))
% 5.09/5.29                                (Ne (P a) (P a_3)) →
% 5.09/5.29                              Ne (P Xe) (P Xhh)))
% 5.09/5.29                          (And (And (Eq (P a) (P a_1)) (Eq (P a_6) (P Xdd))) (Ne (P a_2) (P a_5)) → Eq (P Xe) (P Xhh)))
% 5.09/5.29                        (And (And (Eq (P Xe) (P Xee)) (Eq (P Xh) (P Xhh))) (Eq (P a_4) (P Xdd)) → Ne (P a) (P a_3)))
% 5.09/5.29                      (And (And (And (Eq (P a_2) (P a_3)) (Eq (P a_3) (P a_4))) (Eq (P a_4) (P a_5)))
% 5.09/5.29                          (Ne (P Xe) (P Xhh)) →
% 5.09/5.29                        Eq (P a_6) (P Xee)) →
% 5.09/5.29                    Or
% 5.09/5.29                      (Or (Or (Or (Or (Ne (P a) (P a_1)) (Ne (P a_2) (P a_3))) (Ne (P a_4) (P a_5))) (Ne (P a_6) (P Xdd)))
% 5.09/5.29                        (Ne (P Xe) (P Xee)))
% 5.09/5.29                      (Ne (P Xh) (P Xhh)))
% 5.09/5.29      False
% 5.09/5.29  Clause #9 (by clausification #[8]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 5.09/5.29    Eq
% 5.09/5.29      (Exists fun Xe =>
% 5.09/5.29        Exists fun Xee =>
% 5.09/5.29          Exists fun Xh =>
% 5.09/5.29            Exists fun Xhh =>
% 5.09/5.29              ∀ (P : Iota → Iota),
% 5.09/5.29                And
% 5.09/5.29                    (And
% 5.09/5.29                      (And
% 5.09/5.29                        (And
% 5.09/5.29                          (And
% 5.09/5.29                            (And (And (Eq (P a) (P a_1)) (Eq (P a_2) (P a_3))) (Eq (P Xe) (P Xhh)) → Eq (P a_4) (P a_5))
% 5.09/5.29                            (And (And (Eq (P a) (P a_1)) (Eq (P Xh) (P Xhh))) (Eq (P a_2) (P a_6)) → Ne (P a_7) (P Xee)))
% 5.09/5.29                          (And (And (And (Eq (P a_4) (P a_6)) (Eq (P a_6) (P a_7))) (Eq (P a_7) (P a_5)))
% 5.09/5.29                              (Ne (P a) (P a_3)) →
% 5.09/5.29                            Ne (P Xe) (P Xhh)))
% 5.09/5.29                        (And (And (Eq (P a) (P a_1)) (Eq (P a_7) (P a_5))) (Ne (P a_2) (P a_6)) → Eq (P Xe) (P Xhh)))
% 5.09/5.29                      (And (And (Eq (P Xe) (P Xee)) (Eq (P Xh) (P Xhh))) (Eq (P a_4) (P a_5)) → Ne (P a) (P a_3)))
% 5.09/5.29                    (And (And (And (Eq (P a_2) (P a_3)) (Eq (P a_3) (P a_4))) (Eq (P a_4) (P a_6))) (Ne (P Xe) (P Xhh)) →
% 5.09/5.29                      Eq (P a_7) (P Xee)) →
% 5.09/5.29                  Or
% 5.09/5.29                    (Or (Or (Or (Or (Ne (P a) (P a_1)) (Ne (P a_2) (P a_3))) (Ne (P a_4) (P a_6))) (Ne (P a_7) (P a_5)))
% 5.09/5.29                      (Ne (P Xe) (P Xee)))
% 5.09/5.29                    (Ne (P Xh) (P Xhh)))
% 5.09/5.29      False
% 5.09/5.29  Clause #10 (by clausification #[9]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 5.09/5.29    Eq
% 5.09/5.29      (Exists fun Xee =>
% 5.09/5.29        Exists fun Xh =>
% 5.09/5.29          Exists fun Xhh =>
% 5.09/5.29            ∀ (P : Iota → Iota),
% 5.09/5.29              And
% 5.09/5.29                  (And
% 5.09/5.29                    (And
% 5.09/5.29                      (And
% 5.09/5.29                        (And (And (And (Eq (P a) (P a_1)) (Eq (P a_2) (P a_3))) (Eq (P a_4) (P Xhh)) → Eq (P a_5) (P a_6))
% 5.09/5.29                          (And (And (Eq (P a) (P a_1)) (Eq (P Xh) (P Xhh))) (Eq (P a_2) (P a_7)) → Ne (P a_8) (P Xee)))
% 5.09/5.29                        (And (And (And (Eq (P a_5) (P a_7)) (Eq (P a_7) (P a_8))) (Eq (P a_8) (P a_6)))
% 5.09/5.29                            (Ne (P a) (P a_3)) →
% 5.09/5.29                          Ne (P a_4) (P Xhh)))
% 5.09/5.29                      (And (And (Eq (P a) (P a_1)) (Eq (P a_8) (P a_6))) (Ne (P a_2) (P a_7)) → Eq (P a_4) (P Xhh)))
% 5.09/5.29                    (And (And (Eq (P a_4) (P Xee)) (Eq (P Xh) (P Xhh))) (Eq (P a_5) (P a_6)) → Ne (P a) (P a_3)))
% 5.09/5.29                  (And (And (And (Eq (P a_2) (P a_3)) (Eq (P a_3) (P a_5))) (Eq (P a_5) (P a_7))) (Ne (P a_4) (P Xhh)) →
% 5.09/5.29                    Eq (P a_8) (P Xee)) →
% 5.09/5.29                Or
% 5.09/5.29                  (Or (Or (Or (Or (Ne (P a) (P a_1)) (Ne (P a_2) (P a_3))) (Ne (P a_5) (P a_7))) (Ne (P a_8) (P a_6)))
% 5.09/5.29                    (Ne (P a_4) (P Xee)))
% 5.09/5.29                  (Ne (P Xh) (P Xhh)))
% 5.09/5.29      False
% 5.09/5.29  Clause #11 (by clausification #[10]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota),
% 5.09/5.29    Eq
% 5.09/5.29      (Exists fun Xh =>
% 5.09/5.29        Exists fun Xhh =>
% 5.09/5.29          ∀ (P : Iota → Iota),
% 5.09/5.29            And
% 5.09/5.29                (And
% 5.09/5.29                  (And
% 5.09/5.29                    (And
% 5.09/5.29                      (And (And (And (Eq (P a) (P a_1)) (Eq (P a_2) (P a_3))) (Eq (P a_4) (P Xhh)) → Eq (P a_5) (P a_6))
% 5.09/5.33                        (And (And (Eq (P a) (P a_1)) (Eq (P Xh) (P Xhh))) (Eq (P a_2) (P a_7)) → Ne (P a_8) (P a_9)))
% 5.09/5.33                      (And (And (And (Eq (P a_5) (P a_7)) (Eq (P a_7) (P a_8))) (Eq (P a_8) (P a_6))) (Ne (P a) (P a_3)) →
% 5.09/5.33                        Ne (P a_4) (P Xhh)))
% 5.09/5.33                    (And (And (Eq (P a) (P a_1)) (Eq (P a_8) (P a_6))) (Ne (P a_2) (P a_7)) → Eq (P a_4) (P Xhh)))
% 5.09/5.33                  (And (And (Eq (P a_4) (P a_9)) (Eq (P Xh) (P Xhh))) (Eq (P a_5) (P a_6)) → Ne (P a) (P a_3)))
% 5.09/5.33                (And (And (And (Eq (P a_2) (P a_3)) (Eq (P a_3) (P a_5))) (Eq (P a_5) (P a_7))) (Ne (P a_4) (P Xhh)) →
% 5.09/5.33                  Eq (P a_8) (P a_9)) →
% 5.09/5.33              Or
% 5.09/5.33                (Or (Or (Or (Or (Ne (P a) (P a_1)) (Ne (P a_2) (P a_3))) (Ne (P a_5) (P a_7))) (Ne (P a_8) (P a_6)))
% 5.09/5.33                  (Ne (P a_4) (P a_9)))
% 5.09/5.33                (Ne (P Xh) (P Xhh)))
% 5.09/5.33      False
% 5.09/5.33  Clause #12 (by clausification #[11]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : Iota),
% 5.09/5.33    Eq
% 5.09/5.33      (Exists fun Xhh =>
% 5.09/5.33        ∀ (P : Iota → Iota),
% 5.09/5.33          And
% 5.09/5.33              (And
% 5.09/5.33                (And
% 5.09/5.33                  (And
% 5.09/5.33                    (And (And (And (Eq (P a) (P a_1)) (Eq (P a_2) (P a_3))) (Eq (P a_4) (P Xhh)) → Eq (P a_5) (P a_6))
% 5.09/5.33                      (And (And (Eq (P a) (P a_1)) (Eq (P a_7) (P Xhh))) (Eq (P a_2) (P a_8)) → Ne (P a_9) (P a_10)))
% 5.09/5.33                    (And (And (And (Eq (P a_5) (P a_8)) (Eq (P a_8) (P a_9))) (Eq (P a_9) (P a_6))) (Ne (P a) (P a_3)) →
% 5.09/5.33                      Ne (P a_4) (P Xhh)))
% 5.09/5.33                  (And (And (Eq (P a) (P a_1)) (Eq (P a_9) (P a_6))) (Ne (P a_2) (P a_8)) → Eq (P a_4) (P Xhh)))
% 5.09/5.33                (And (And (Eq (P a_4) (P a_10)) (Eq (P a_7) (P Xhh))) (Eq (P a_5) (P a_6)) → Ne (P a) (P a_3)))
% 5.09/5.33              (And (And (And (Eq (P a_2) (P a_3)) (Eq (P a_3) (P a_5))) (Eq (P a_5) (P a_8))) (Ne (P a_4) (P Xhh)) →
% 5.09/5.33                Eq (P a_9) (P a_10)) →
% 5.09/5.33            Or
% 5.09/5.33              (Or (Or (Or (Or (Ne (P a) (P a_1)) (Ne (P a_2) (P a_3))) (Ne (P a_5) (P a_8))) (Ne (P a_9) (P a_6)))
% 5.09/5.33                (Ne (P a_4) (P a_10)))
% 5.09/5.33              (Ne (P a_7) (P Xhh)))
% 5.09/5.33      False
% 5.09/5.33  Clause #13 (by clausification #[12]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : Iota),
% 5.09/5.33    Eq
% 5.09/5.33      (∀ (P : Iota → Iota),
% 5.09/5.33        And
% 5.09/5.33            (And
% 5.09/5.33              (And
% 5.09/5.33                (And
% 5.09/5.33                  (And (And (And (Eq (P a) (P a_1)) (Eq (P a_2) (P a_3))) (Eq (P a_4) (P a_5)) → Eq (P a_6) (P a_7))
% 5.09/5.33                    (And (And (Eq (P a) (P a_1)) (Eq (P a_8) (P a_5))) (Eq (P a_2) (P a_9)) → Ne (P a_10) (P a_11)))
% 5.09/5.33                  (And (And (And (Eq (P a_6) (P a_9)) (Eq (P a_9) (P a_10))) (Eq (P a_10) (P a_7))) (Ne (P a) (P a_3)) →
% 5.09/5.33                    Ne (P a_4) (P a_5)))
% 5.09/5.33                (And (And (Eq (P a) (P a_1)) (Eq (P a_10) (P a_7))) (Ne (P a_2) (P a_9)) → Eq (P a_4) (P a_5)))
% 5.09/5.33              (And (And (Eq (P a_4) (P a_11)) (Eq (P a_8) (P a_5))) (Eq (P a_6) (P a_7)) → Ne (P a) (P a_3)))
% 5.09/5.33            (And (And (And (Eq (P a_2) (P a_3)) (Eq (P a_3) (P a_6))) (Eq (P a_6) (P a_9))) (Ne (P a_4) (P a_5)) →
% 5.09/5.33              Eq (P a_10) (P a_11)) →
% 5.09/5.33          Or
% 5.09/5.33            (Or (Or (Or (Or (Ne (P a) (P a_1)) (Ne (P a_2) (P a_3))) (Ne (P a_6) (P a_9))) (Ne (P a_10) (P a_7)))
% 5.09/5.33              (Ne (P a_4) (P a_11)))
% 5.09/5.33            (Ne (P a_8) (P a_5)))
% 5.09/5.33      False
% 5.09/5.33  Clause #14 (by clausification #[13]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : Iota) (a_12 : Iota → Iota),
% 5.09/5.33    Eq
% 5.09/5.33      (Not
% 5.09/5.33        (And
% 5.09/5.33            (And
% 5.09/5.33              (And
% 5.09/5.33                (And
% 5.09/5.33                  (And
% 5.09/5.33                    (And
% 5.09/5.33                        (And
% 5.09/5.33                          (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a)
% 5.09/5.33                            (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_1))
% 5.09/5.33                          (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_2)
% 5.09/5.33                            (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_3)))
% 5.09/5.33                        (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_4)
% 5.09/5.33                          (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_5)) →
% 5.09/5.33                      Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_6)
% 5.09/5.33                        (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_7))
% 5.09/5.33                    (And
% 5.09/5.33                        (And
% 5.09/5.33                          (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a)
% 5.09/5.33                            (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_1))
% 5.09/5.33                          (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_8)
% 5.09/5.33                            (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_5)))
% 5.09/5.33                        (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_2)
% 5.09/5.33                          (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_9)) →
% 5.09/5.33                      Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_10)
% 5.09/5.33                        (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_11)))
% 5.09/5.33                  (And
% 5.09/5.33                      (And
% 5.09/5.33                        (And
% 5.09/5.33                          (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_6)
% 5.09/5.33                            (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_9))
% 5.09/5.33                          (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_9)
% 5.09/5.33                            (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_10)))
% 5.09/5.33                        (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_10)
% 5.09/5.33                          (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_7)))
% 5.09/5.33                      (Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a)
% 5.09/5.33                        (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_3)) →
% 5.09/5.33                    Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_4)
% 5.09/5.33                      (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_5)))
% 5.09/5.33                (And
% 5.09/5.33                    (And
% 5.09/5.33                      (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a)
% 5.09/5.33                        (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_1))
% 5.09/5.33                      (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_10)
% 5.09/5.33                        (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_7)))
% 5.09/5.33                    (Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_2)
% 5.09/5.33                      (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_9)) →
% 5.09/5.33                  Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_4)
% 5.09/5.33                    (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_5)))
% 5.09/5.33              (And
% 5.09/5.33                  (And
% 5.09/5.33                    (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_4)
% 5.09/5.33                      (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_11))
% 5.09/5.33                    (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_8)
% 5.09/5.33                      (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_5)))
% 5.09/5.33                  (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_6)
% 5.09/5.33                    (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_7)) →
% 5.09/5.33                Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a)
% 5.09/5.33                  (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_3)))
% 5.09/5.33            (And
% 5.09/5.33                (And
% 5.09/5.33                  (And
% 5.09/5.33                    (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_2)
% 5.09/5.33                      (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_3))
% 5.09/5.33                    (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_3)
% 5.09/5.33                      (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_6)))
% 5.09/5.33                  (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_6)
% 5.09/5.33                    (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_9)))
% 5.18/5.36                (Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_4)
% 5.18/5.36                  (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_5)) →
% 5.18/5.36              Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_10)
% 5.18/5.36                (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_11)) →
% 5.18/5.36          Or
% 5.18/5.36            (Or
% 5.18/5.36              (Or
% 5.18/5.36                (Or
% 5.18/5.36                  (Or
% 5.18/5.36                    (Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a)
% 5.18/5.36                      (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_1))
% 5.18/5.36                    (Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_2)
% 5.18/5.36                      (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_3)))
% 5.18/5.36                  (Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_6)
% 5.18/5.36                    (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_9)))
% 5.18/5.36                (Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_10)
% 5.18/5.36                  (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_7)))
% 5.18/5.36              (Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_4)
% 5.18/5.36                (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_11)))
% 5.18/5.36            (Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_8)
% 5.18/5.36              (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_5))))
% 5.18/5.36      True
% 5.18/5.36  Clause #15 (by clausification #[14]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : Iota) (a_12 : Iota → Iota),
% 5.18/5.36    Eq
% 5.18/5.36      (And
% 5.18/5.36          (And
% 5.18/5.36            (And
% 5.18/5.36              (And
% 5.18/5.36                (And
% 5.18/5.36                  (And
% 5.18/5.36                      (And
% 5.18/5.36                        (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a)
% 5.18/5.36                          (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_1))
% 5.18/5.36                        (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_2)
% 5.18/5.36                          (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_3)))
% 5.18/5.36                      (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_4)
% 5.18/5.36                        (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_5)) →
% 5.18/5.36                    Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_6)
% 5.18/5.36                      (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_7))
% 5.18/5.36                  (And
% 5.18/5.36                      (And
% 5.18/5.36                        (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a)
% 5.18/5.36                          (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_1))
% 5.18/5.36                        (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_8)
% 5.18/5.36                          (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_5)))
% 5.18/5.36                      (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_2)
% 5.18/5.36                        (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_9)) →
% 5.18/5.36                    Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_10)
% 5.18/5.36                      (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_11)))
% 5.18/5.36                (And
% 5.18/5.36                    (And
% 5.18/5.36                      (And
% 5.18/5.36                        (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_6)
% 5.18/5.36                          (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_9))
% 5.18/5.36                        (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_9)
% 5.18/5.36                          (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_10)))
% 5.18/5.36                      (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_10)
% 5.18/5.36                        (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_7)))
% 5.18/5.36                    (Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a)
% 5.18/5.36                      (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_3)) →
% 5.18/5.36                  Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_4)
% 5.18/5.38                    (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_5)))
% 5.18/5.38              (And
% 5.18/5.38                  (And
% 5.18/5.38                    (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a)
% 5.18/5.38                      (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_1))
% 5.18/5.38                    (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_10)
% 5.18/5.38                      (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_7)))
% 5.18/5.38                  (Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_2)
% 5.18/5.38                    (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_9)) →
% 5.18/5.38                Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_4)
% 5.18/5.38                  (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_5)))
% 5.18/5.38            (And
% 5.18/5.38                (And
% 5.18/5.38                  (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_4)
% 5.18/5.38                    (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_11))
% 5.18/5.38                  (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_8)
% 5.18/5.38                    (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_5)))
% 5.18/5.38                (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_6)
% 5.18/5.38                  (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_7)) →
% 5.18/5.38              Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a)
% 5.18/5.38                (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_3)))
% 5.18/5.38          (And
% 5.18/5.38              (And
% 5.18/5.38                (And
% 5.18/5.38                  (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_2)
% 5.18/5.38                    (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_3))
% 5.18/5.38                  (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_3)
% 5.18/5.38                    (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_6)))
% 5.18/5.38                (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_6)
% 5.18/5.38                  (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_9)))
% 5.18/5.38              (Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_4)
% 5.18/5.38                (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_5)) →
% 5.18/5.38            Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_10)
% 5.18/5.38              (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_11)) →
% 5.18/5.38        Or
% 5.18/5.38          (Or
% 5.18/5.38            (Or
% 5.18/5.38              (Or
% 5.18/5.38                (Or
% 5.18/5.38                  (Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a)
% 5.18/5.38                    (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_1))
% 5.18/5.38                  (Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_2)
% 5.18/5.38                    (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_3)))
% 5.18/5.38                (Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_6)
% 5.18/5.38                  (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_9)))
% 5.18/5.38              (Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_10)
% 5.18/5.38                (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_7)))
% 5.18/5.38            (Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_4)
% 5.18/5.38              (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_11)))
% 5.18/5.38          (Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_8)
% 5.18/5.38            (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_5)))
% 5.18/5.38      False
% 5.18/5.38  Clause #16 (by clausification #[15]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : Iota) (a_12 : Iota → Iota),
% 5.18/5.38    Eq
% 5.18/5.38      (And
% 5.18/5.38        (And
% 5.18/5.38          (And
% 5.18/5.38            (And
% 5.18/5.38              (And
% 5.18/5.38                (And
% 5.18/5.38                    (And
% 5.18/5.38                      (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a)
% 5.18/5.38                        (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_1))
% 5.18/5.38                      (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_2)
% 5.18/5.38                        (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_3)))
% 5.18/5.38                    (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_4)
% 5.18/5.38                      (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_5)) →
% 5.18/5.38                  Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_6)
% 5.18/5.38                    (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_7))
% 5.18/5.38                (And
% 5.18/5.38                    (And
% 5.18/5.38                      (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a)
% 5.18/5.38                        (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_1))
% 5.18/5.38                      (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_8)
% 5.18/5.38                        (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_5)))
% 5.18/5.38                    (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_2)
% 5.18/5.38                      (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_9)) →
% 5.18/5.38                  Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_10)
% 5.18/5.38                    (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_11)))
% 5.18/5.38              (And
% 5.18/5.38                  (And
% 5.18/5.38                    (And
% 5.18/5.38                      (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_6)
% 5.18/5.38                        (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_9))
% 5.18/5.38                      (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_9)
% 5.18/5.38                        (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_10)))
% 5.18/5.38                    (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_10)
% 5.18/5.38                      (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_7)))
% 5.18/5.38                  (Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a)
% 5.18/5.38                    (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_3)) →
% 5.18/5.38                Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_4)
% 5.18/5.38                  (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_5)))
% 5.18/5.38            (And
% 5.18/5.38                (And
% 5.18/5.38                  (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a)
% 5.18/5.38                    (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_1))
% 5.18/5.38                  (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_10)
% 5.18/5.38                    (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_7)))
% 5.18/5.38                (Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_2)
% 5.18/5.38                  (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_9)) →
% 5.18/5.38              Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_4)
% 5.18/5.38                (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_5)))
% 5.18/5.38          (And
% 5.18/5.38              (And
% 5.18/5.38                (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_4)
% 5.18/5.38                  (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_11))
% 5.18/5.38                (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_8)
% 5.18/5.38                  (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_5)))
% 5.18/5.38              (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_6)
% 5.18/5.38                (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_7)) →
% 5.18/5.38            Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a)
% 5.18/5.38              (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_3)))
% 5.18/5.38        (And
% 5.18/5.38            (And
% 5.18/5.38              (And
% 5.18/5.38                (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_2)
% 5.18/5.38                  (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_3))
% 5.18/5.38                (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_3)
% 5.18/5.38                  (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_6)))
% 5.18/5.38              (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_6)
% 5.18/5.38                (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_9)))
% 5.23/5.41            (Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_4)
% 5.23/5.41              (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_5)) →
% 5.23/5.41          Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_10)
% 5.23/5.41            (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_11)))
% 5.23/5.41      True
% 5.23/5.41  Clause #17 (by clausification #[15]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : Iota) (a_12 : Iota → Iota),
% 5.23/5.41    Eq
% 5.23/5.41      (Or
% 5.23/5.41        (Or
% 5.23/5.41          (Or
% 5.23/5.41            (Or
% 5.23/5.41              (Or
% 5.23/5.41                (Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a)
% 5.23/5.41                  (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_1))
% 5.23/5.41                (Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_2)
% 5.23/5.41                  (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_3)))
% 5.23/5.41              (Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_6)
% 5.23/5.41                (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_9)))
% 5.23/5.41            (Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_10)
% 5.23/5.41              (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_7)))
% 5.23/5.41          (Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_4)
% 5.23/5.41            (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_11)))
% 5.23/5.41        (Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_8)
% 5.23/5.41          (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_5)))
% 5.23/5.41      False
% 5.23/5.41  Clause #19 (by clausification #[16]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : Iota) (a_12 : Iota → Iota),
% 5.23/5.41    Eq
% 5.23/5.41      (And
% 5.23/5.41        (And
% 5.23/5.41          (And
% 5.23/5.41            (And
% 5.23/5.41              (And
% 5.23/5.41                  (And
% 5.23/5.41                    (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a)
% 5.23/5.41                      (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_1))
% 5.23/5.41                    (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_2)
% 5.23/5.41                      (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_3)))
% 5.23/5.41                  (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_4)
% 5.23/5.41                    (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_5)) →
% 5.23/5.41                Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_6)
% 5.23/5.41                  (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_7))
% 5.23/5.41              (And
% 5.23/5.41                  (And
% 5.23/5.41                    (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a)
% 5.23/5.41                      (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_1))
% 5.23/5.41                    (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_8)
% 5.23/5.41                      (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_5)))
% 5.23/5.41                  (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_2)
% 5.23/5.41                    (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_9)) →
% 5.23/5.41                Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_10)
% 5.23/5.41                  (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_11)))
% 5.23/5.41            (And
% 5.23/5.41                (And
% 5.23/5.41                  (And
% 5.23/5.41                    (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_6)
% 5.23/5.41                      (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_9))
% 5.23/5.41                    (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_9)
% 5.23/5.41                      (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_10)))
% 5.23/5.41                  (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_10)
% 5.23/5.41                    (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_7)))
% 5.23/5.41                (Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a)
% 5.23/5.41                  (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_3)) →
% 5.23/5.41              Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_4)
% 5.23/5.41                (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_5)))
% 5.23/5.41          (And
% 5.23/5.42              (And
% 5.23/5.42                (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a)
% 5.23/5.42                  (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_1))
% 5.23/5.42                (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_10)
% 5.23/5.42                  (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_7)))
% 5.23/5.42              (Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_2)
% 5.23/5.42                (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_9)) →
% 5.23/5.42            Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_4)
% 5.23/5.42              (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_5)))
% 5.23/5.42        (And
% 5.23/5.42            (And
% 5.23/5.42              (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_4)
% 5.23/5.42                (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_11))
% 5.23/5.42              (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_8)
% 5.23/5.42                (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_5)))
% 5.23/5.42            (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_6)
% 5.23/5.42              (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_7)) →
% 5.23/5.42          Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a)
% 5.23/5.42            (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_3)))
% 5.23/5.42      True
% 5.23/5.42  Clause #42 (by clausification #[17]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : Iota) (a_12 : Iota → Iota),
% 5.23/5.42    Eq
% 5.23/5.42      (Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_8)
% 5.23/5.42        (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_5))
% 5.23/5.42      False
% 5.23/5.42  Clause #44 (by clausification #[42]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : Iota) (a_12 : Iota → Iota),
% 5.23/5.42    Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_8)
% 5.23/5.42      (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_5)
% 5.23/5.42  Clause #86 (by clausification #[19]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : Iota) (a_12 : Iota → Iota),
% 5.23/5.42    Eq
% 5.23/5.42      (And
% 5.23/5.42          (And
% 5.23/5.42            (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_4)
% 5.23/5.42              (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_11))
% 5.23/5.42            (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_8)
% 5.23/5.42              (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_5)))
% 5.23/5.42          (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_6)
% 5.23/5.42            (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_7)) →
% 5.23/5.42        Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a)
% 5.23/5.42          (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_3))
% 5.23/5.42      True
% 5.23/5.42  Clause #88 (by clausification #[86]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : Iota) (a_12 : Iota → Iota),
% 5.23/5.42    Or
% 5.23/5.42      (Eq
% 5.23/5.42        (And
% 5.23/5.42          (And
% 5.23/5.42            (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_4)
% 5.23/5.42              (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_11))
% 5.23/5.42            (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_8)
% 5.23/5.42              (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_5)))
% 5.23/5.42          (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_6)
% 5.23/5.42            (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_7)))
% 5.23/5.42        False)
% 5.23/5.42      (Eq
% 5.23/5.42        (Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a)
% 5.23/5.42          (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_3))
% 5.23/5.42        True)
% 5.23/5.42  Clause #89 (by clausification #[88]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : Iota) (a_12 : Iota → Iota),
% 5.23/5.42    Or
% 5.23/5.42      (Eq
% 5.23/5.42        (Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a)
% 5.23/5.42          (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_3))
% 5.23/5.42        True)
% 5.23/5.42      (Or
% 5.23/5.42        (Eq
% 5.23/5.42          (And
% 5.23/5.42            (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_4)
% 5.23/5.42              (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_11))
% 5.23/5.42            (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_8)
% 5.23/5.44              (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_5)))
% 5.23/5.44          False)
% 5.23/5.44        (Eq
% 5.23/5.44          (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_6)
% 5.23/5.44            (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_7))
% 5.23/5.44          False))
% 5.23/5.44  Clause #90 (by clausification #[89]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : Iota) (a_12 : Iota → Iota),
% 5.23/5.44    Or
% 5.23/5.44      (Eq
% 5.23/5.44        (And
% 5.23/5.44          (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_4)
% 5.23/5.44            (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_11))
% 5.23/5.44          (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_8)
% 5.23/5.44            (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_5)))
% 5.23/5.44        False)
% 5.23/5.44      (Or
% 5.23/5.44        (Eq
% 5.23/5.44          (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_6)
% 5.23/5.44            (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_7))
% 5.23/5.44          False)
% 5.23/5.44        (Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a)
% 5.23/5.44          (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_3)))
% 5.23/5.44  Clause #91 (by clausification #[90]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : Iota) (a_12 : Iota → Iota),
% 5.23/5.44    Or
% 5.23/5.44      (Eq
% 5.23/5.44        (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_6)
% 5.23/5.44          (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_7))
% 5.23/5.44        False)
% 5.23/5.44      (Or
% 5.23/5.44        (Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a)
% 5.23/5.44          (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_3))
% 5.23/5.44        (Or
% 5.23/5.44          (Eq
% 5.23/5.44            (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_4)
% 5.23/5.44              (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_11))
% 5.23/5.44            False)
% 5.23/5.44          (Eq
% 5.23/5.44            (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_8)
% 5.23/5.44              (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_5))
% 5.23/5.44            False)))
% 5.23/5.44  Clause #92 (by clausification #[91]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : Iota) (a_12 : Iota → Iota),
% 5.23/5.44    Or
% 5.23/5.44      (Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a)
% 5.23/5.44        (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_3))
% 5.23/5.44      (Or
% 5.23/5.44        (Eq
% 5.23/5.44          (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_4)
% 5.23/5.44            (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_11))
% 5.23/5.44          False)
% 5.23/5.44        (Or
% 5.23/5.44          (Eq
% 5.23/5.44            (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_8)
% 5.23/5.44              (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_5))
% 5.23/5.44            False)
% 5.23/5.44          (Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_6)
% 5.23/5.44            (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_7))))
% 5.23/5.44  Clause #93 (by clausification #[92]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : Iota) (a_12 : Iota → Iota),
% 5.23/5.44    Or
% 5.23/5.44      (Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a)
% 5.23/5.44        (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_3))
% 5.23/5.44      (Or
% 5.23/5.44        (Eq
% 5.23/5.44          (Eq (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_8)
% 5.23/5.44            (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_5))
% 5.23/5.44          False)
% 5.23/5.44        (Or
% 5.23/5.44          (Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_6)
% 5.23/5.44            (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_7))
% 5.23/5.44          (Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_4)
% 5.23/5.44            (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_11))))
% 5.23/5.44  Clause #94 (by clausification #[93]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : Iota) (a_12 : Iota → Iota),
% 5.23/5.44    Or
% 5.23/5.44      (Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a)
% 5.23/5.44        (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_3))
% 5.23/5.44      (Or
% 5.23/5.44        (Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_6)
% 5.23/5.44          (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_7))
% 5.23/5.44        (Or
% 5.23/5.44          (Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_4)
% 5.29/5.45            (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_11))
% 5.29/5.45          (Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_8)
% 5.29/5.45            (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_5))))
% 5.29/5.45  Clause #95 (by forward contextual literal cutting #[94, 44]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : Iota) (a_12 : Iota → Iota),
% 5.29/5.45    Or
% 5.29/5.45      (Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a)
% 5.29/5.45        (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_3))
% 5.29/5.45      (Or
% 5.29/5.45        (Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_6)
% 5.29/5.45          (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_7))
% 5.29/5.45        (Ne (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_4)
% 5.29/5.45          (skS.0 0 a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_11)))
% 5.29/5.45  Clause #96 (by equality resolution #[95]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 : Iota) (a_11 : Iota → Iota),
% 5.29/5.45    Or
% 5.29/5.45      (Ne (skS.0 0 a a_1 a_2 a a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_5)
% 5.29/5.45        (skS.0 0 a a_1 a_2 a a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_6))
% 5.29/5.45      (Ne (skS.0 0 a a_1 a_2 a a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_3)
% 5.29/5.45        (skS.0 0 a a_1 a_2 a a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_10))
% 5.29/5.45  Clause #125 (by equality resolution #[96]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota) (a_10 : Iota → Iota),
% 5.29/5.45    Ne (skS.0 0 a a_1 a_2 a a_3 a_4 a_5 a_5 a_6 a_7 a_8 a_9 a_10 a_3)
% 5.29/5.45      (skS.0 0 a a_1 a_2 a a_3 a_4 a_5 a_5 a_6 a_7 a_8 a_9 a_10 a_9)
% 5.29/5.45  Clause #154 (by equality resolution #[125]): False
% 5.29/5.45  SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------