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Duper---1.0.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : PUZ093^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n006.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Oct  3 07:58:21 PM UTC 2025

% Result   : Theorem 8.15s 8.33s
% Output   : Proof 8.74s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : PUZ093^5 : TPTP v9.2.0. Released v4.0.0.
% 0.03/0.13  % Command    : duper %s
% 0.13/0.35  % Computer : n006.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   : Thu Oct  2 20:51:08 EDT 2025
% 0.13/0.35  % CPUTime    : 
% 8.15/8.33  SZS status Theorem for theBenchmark.p
% 8.15/8.33  SZS output start Proof for theBenchmark.p
% 8.15/8.33  Clause #0 (by assumption #[]): Eq
% 8.15/8.33    (Not
% 8.15/8.33      (Exists fun Xa =>
% 8.15/8.33        Exists fun Xaa =>
% 8.15/8.33          Exists fun Xb =>
% 8.15/8.33            Exists fun Xbb =>
% 8.15/8.33              Exists fun Xc =>
% 8.15/8.33                Exists fun Xcc =>
% 8.15/8.33                  Exists fun Xd =>
% 8.15/8.33                    Exists fun Xdd =>
% 8.15/8.33                      Exists fun Xe =>
% 8.15/8.33                        Exists fun Xee =>
% 8.15/8.33                          Exists fun Xh =>
% 8.15/8.33                            Exists fun Xhh =>
% 8.15/8.33                              ∀ (P : Iota → Iota),
% 8.15/8.33                                And
% 8.15/8.33                                    (And
% 8.15/8.33                                      (And
% 8.15/8.33                                        (And
% 8.15/8.33                                          (And
% 8.15/8.33                                            (And (And (Eq (P Xa) (P Xaa)) (Eq (P Xb) (P Xbb))) (Eq (P Xe) (P Xhh)) →
% 8.15/8.33                                              Eq (P Xc) (P Xdd))
% 8.15/8.33                                            (And (And (Eq (P Xa) (P Xaa)) (Eq (P Xh) (P Xhh))) (Eq (P Xb) (P Xcc)) →
% 8.15/8.33                                              Ne (P Xd) (P Xee)))
% 8.15/8.33                                          (And (And (And (Eq (P Xc) (P Xcc)) (Eq (P Xcc) (P Xd))) (Eq (P Xd) (P Xdd)))
% 8.15/8.33                                              (Ne (P Xa) (P Xbb)) →
% 8.15/8.33                                            Ne (P Xe) (P Xhh)))
% 8.15/8.33                                        (And (And (Eq (P Xa) (P Xaa)) (Eq (P Xd) (P Xdd))) (Ne (P Xb) (P Xcc)) →
% 8.15/8.33                                          Eq (P Xe) (P Xhh)))
% 8.15/8.33                                      (And (And (Eq (P Xe) (P Xee)) (Eq (P Xh) (P Xhh))) (Eq (P Xc) (P Xdd)) →
% 8.15/8.33                                        Ne (P Xa) (P Xbb)))
% 8.15/8.33                                    (And (And (And (Eq (P Xb) (P Xbb)) (Eq (P Xbb) (P Xc))) (Eq (P Xc) (P Xcc)))
% 8.15/8.33                                        (Ne (P Xe) (P Xhh)) →
% 8.15/8.33                                      Eq (P Xd) (P Xee)) →
% 8.15/8.33                                  Or
% 8.15/8.33                                    (Or
% 8.15/8.33                                      (Or (Or (Or (Ne (P Xa) (P Xaa)) (Ne (P Xb) (P Xbb))) (Ne (P Xc) (P Xcc)))
% 8.15/8.33                                        (Ne (P Xd) (P Xdd)))
% 8.15/8.33                                      (Ne (P Xe) (P Xee)))
% 8.15/8.33                                    (Ne (P Xh) (P Xhh))))
% 8.15/8.33    True
% 8.15/8.33  Clause #1 (by clausification #[0]): Eq
% 8.15/8.33    (Exists fun Xa =>
% 8.15/8.33      Exists fun Xaa =>
% 8.15/8.33        Exists fun Xb =>
% 8.15/8.33          Exists fun Xbb =>
% 8.15/8.33            Exists fun Xc =>
% 8.15/8.33              Exists fun Xcc =>
% 8.15/8.33                Exists fun Xd =>
% 8.15/8.33                  Exists fun Xdd =>
% 8.15/8.33                    Exists fun Xe =>
% 8.15/8.33                      Exists fun Xee =>
% 8.15/8.33                        Exists fun Xh =>
% 8.15/8.33                          Exists fun Xhh =>
% 8.15/8.33                            ∀ (P : Iota → Iota),
% 8.15/8.33                              And
% 8.15/8.33                                  (And
% 8.15/8.33                                    (And
% 8.15/8.33                                      (And
% 8.15/8.33                                        (And
% 8.15/8.33                                          (And (And (Eq (P Xa) (P Xaa)) (Eq (P Xb) (P Xbb))) (Eq (P Xe) (P Xhh)) →
% 8.15/8.33                                            Eq (P Xc) (P Xdd))
% 8.15/8.33                                          (And (And (Eq (P Xa) (P Xaa)) (Eq (P Xh) (P Xhh))) (Eq (P Xb) (P Xcc)) →
% 8.15/8.33                                            Ne (P Xd) (P Xee)))
% 8.15/8.33                                        (And (And (And (Eq (P Xc) (P Xcc)) (Eq (P Xcc) (P Xd))) (Eq (P Xd) (P Xdd)))
% 8.15/8.33                                            (Ne (P Xa) (P Xbb)) →
% 8.15/8.33                                          Ne (P Xe) (P Xhh)))
% 8.15/8.33                                      (And (And (Eq (P Xa) (P Xaa)) (Eq (P Xd) (P Xdd))) (Ne (P Xb) (P Xcc)) →
% 8.15/8.33                                        Eq (P Xe) (P Xhh)))
% 8.15/8.33                                    (And (And (Eq (P Xe) (P Xee)) (Eq (P Xh) (P Xhh))) (Eq (P Xc) (P Xdd)) →
% 8.15/8.33                                      Ne (P Xa) (P Xbb)))
% 8.15/8.33                                  (And (And (And (Eq (P Xb) (P Xbb)) (Eq (P Xbb) (P Xc))) (Eq (P Xc) (P Xcc)))
% 8.15/8.33                                      (Ne (P Xe) (P Xhh)) →
% 8.15/8.33                                    Eq (P Xd) (P Xee)) →
% 8.17/8.38                                Or
% 8.17/8.38                                  (Or
% 8.17/8.38                                    (Or (Or (Or (Ne (P Xa) (P Xaa)) (Ne (P Xb) (P Xbb))) (Ne (P Xc) (P Xcc)))
% 8.17/8.38                                      (Ne (P Xd) (P Xdd)))
% 8.17/8.38                                    (Ne (P Xe) (P Xee)))
% 8.17/8.38                                  (Ne (P Xh) (P Xhh)))
% 8.17/8.38    False
% 8.17/8.38  Clause #2 (by clausification #[1]): ∀ (a : Iota),
% 8.17/8.38    Eq
% 8.17/8.38      (Exists fun Xaa =>
% 8.17/8.38        Exists fun Xb =>
% 8.17/8.38          Exists fun Xbb =>
% 8.17/8.38            Exists fun Xc =>
% 8.17/8.38              Exists fun Xcc =>
% 8.17/8.38                Exists fun Xd =>
% 8.17/8.38                  Exists fun Xdd =>
% 8.17/8.38                    Exists fun Xe =>
% 8.17/8.38                      Exists fun Xee =>
% 8.17/8.38                        Exists fun Xh =>
% 8.17/8.38                          Exists fun Xhh =>
% 8.17/8.38                            ∀ (P : Iota → Iota),
% 8.17/8.38                              And
% 8.17/8.38                                  (And
% 8.17/8.38                                    (And
% 8.17/8.38                                      (And
% 8.17/8.38                                        (And
% 8.17/8.38                                          (And (And (Eq (P a) (P Xaa)) (Eq (P Xb) (P Xbb))) (Eq (P Xe) (P Xhh)) →
% 8.17/8.38                                            Eq (P Xc) (P Xdd))
% 8.17/8.38                                          (And (And (Eq (P a) (P Xaa)) (Eq (P Xh) (P Xhh))) (Eq (P Xb) (P Xcc)) →
% 8.17/8.38                                            Ne (P Xd) (P Xee)))
% 8.17/8.38                                        (And (And (And (Eq (P Xc) (P Xcc)) (Eq (P Xcc) (P Xd))) (Eq (P Xd) (P Xdd)))
% 8.17/8.38                                            (Ne (P a) (P Xbb)) →
% 8.17/8.38                                          Ne (P Xe) (P Xhh)))
% 8.17/8.38                                      (And (And (Eq (P a) (P Xaa)) (Eq (P Xd) (P Xdd))) (Ne (P Xb) (P Xcc)) →
% 8.17/8.38                                        Eq (P Xe) (P Xhh)))
% 8.17/8.38                                    (And (And (Eq (P Xe) (P Xee)) (Eq (P Xh) (P Xhh))) (Eq (P Xc) (P Xdd)) →
% 8.17/8.38                                      Ne (P a) (P Xbb)))
% 8.17/8.38                                  (And (And (And (Eq (P Xb) (P Xbb)) (Eq (P Xbb) (P Xc))) (Eq (P Xc) (P Xcc)))
% 8.17/8.38                                      (Ne (P Xe) (P Xhh)) →
% 8.17/8.38                                    Eq (P Xd) (P Xee)) →
% 8.17/8.38                                Or
% 8.17/8.38                                  (Or
% 8.17/8.38                                    (Or (Or (Or (Ne (P a) (P Xaa)) (Ne (P Xb) (P Xbb))) (Ne (P Xc) (P Xcc)))
% 8.17/8.38                                      (Ne (P Xd) (P Xdd)))
% 8.17/8.38                                    (Ne (P Xe) (P Xee)))
% 8.17/8.38                                  (Ne (P Xh) (P Xhh)))
% 8.17/8.38      False
% 8.17/8.38  Clause #3 (by clausification #[2]): ∀ (a a_1 : Iota),
% 8.17/8.38    Eq
% 8.17/8.38      (Exists fun Xb =>
% 8.17/8.38        Exists fun Xbb =>
% 8.17/8.38          Exists fun Xc =>
% 8.17/8.38            Exists fun Xcc =>
% 8.17/8.38              Exists fun Xd =>
% 8.17/8.38                Exists fun Xdd =>
% 8.17/8.38                  Exists fun Xe =>
% 8.17/8.38                    Exists fun Xee =>
% 8.17/8.38                      Exists fun Xh =>
% 8.17/8.38                        Exists fun Xhh =>
% 8.17/8.38                          ∀ (P : Iota → Iota),
% 8.17/8.38                            And
% 8.17/8.38                                (And
% 8.17/8.38                                  (And
% 8.17/8.38                                    (And
% 8.17/8.38                                      (And
% 8.17/8.38                                        (And (And (Eq (P a) (P a_1)) (Eq (P Xb) (P Xbb))) (Eq (P Xe) (P Xhh)) →
% 8.17/8.38                                          Eq (P Xc) (P Xdd))
% 8.17/8.38                                        (And (And (Eq (P a) (P a_1)) (Eq (P Xh) (P Xhh))) (Eq (P Xb) (P Xcc)) →
% 8.17/8.38                                          Ne (P Xd) (P Xee)))
% 8.17/8.38                                      (And (And (And (Eq (P Xc) (P Xcc)) (Eq (P Xcc) (P Xd))) (Eq (P Xd) (P Xdd)))
% 8.17/8.38                                          (Ne (P a) (P Xbb)) →
% 8.17/8.38                                        Ne (P Xe) (P Xhh)))
% 8.17/8.38                                    (And (And (Eq (P a) (P a_1)) (Eq (P Xd) (P Xdd))) (Ne (P Xb) (P Xcc)) →
% 8.17/8.38                                      Eq (P Xe) (P Xhh)))
% 8.17/8.38                                  (And (And (Eq (P Xe) (P Xee)) (Eq (P Xh) (P Xhh))) (Eq (P Xc) (P Xdd)) →
% 8.17/8.38                                    Ne (P a) (P Xbb)))
% 8.17/8.38                                (And (And (And (Eq (P Xb) (P Xbb)) (Eq (P Xbb) (P Xc))) (Eq (P Xc) (P Xcc)))
% 8.17/8.42                                    (Ne (P Xe) (P Xhh)) →
% 8.17/8.42                                  Eq (P Xd) (P Xee)) →
% 8.17/8.42                              Or
% 8.17/8.42                                (Or
% 8.17/8.42                                  (Or (Or (Or (Ne (P a) (P a_1)) (Ne (P Xb) (P Xbb))) (Ne (P Xc) (P Xcc)))
% 8.17/8.42                                    (Ne (P Xd) (P Xdd)))
% 8.17/8.42                                  (Ne (P Xe) (P Xee)))
% 8.17/8.42                                (Ne (P Xh) (P Xhh)))
% 8.17/8.42      False
% 8.17/8.42  Clause #4 (by clausification #[3]): ∀ (a a_1 a_2 : Iota),
% 8.17/8.42    Eq
% 8.17/8.42      (Exists fun Xbb =>
% 8.17/8.42        Exists fun Xc =>
% 8.17/8.42          Exists fun Xcc =>
% 8.17/8.42            Exists fun Xd =>
% 8.17/8.42              Exists fun Xdd =>
% 8.17/8.42                Exists fun Xe =>
% 8.17/8.42                  Exists fun Xee =>
% 8.17/8.42                    Exists fun Xh =>
% 8.17/8.42                      Exists fun Xhh =>
% 8.17/8.42                        ∀ (P : Iota → Iota),
% 8.17/8.42                          And
% 8.17/8.42                              (And
% 8.17/8.42                                (And
% 8.17/8.42                                  (And
% 8.17/8.42                                    (And
% 8.17/8.42                                      (And (And (Eq (P a) (P a_1)) (Eq (P a_2) (P Xbb))) (Eq (P Xe) (P Xhh)) →
% 8.17/8.42                                        Eq (P Xc) (P Xdd))
% 8.17/8.42                                      (And (And (Eq (P a) (P a_1)) (Eq (P Xh) (P Xhh))) (Eq (P a_2) (P Xcc)) →
% 8.17/8.42                                        Ne (P Xd) (P Xee)))
% 8.17/8.42                                    (And (And (And (Eq (P Xc) (P Xcc)) (Eq (P Xcc) (P Xd))) (Eq (P Xd) (P Xdd)))
% 8.17/8.42                                        (Ne (P a) (P Xbb)) →
% 8.17/8.42                                      Ne (P Xe) (P Xhh)))
% 8.17/8.42                                  (And (And (Eq (P a) (P a_1)) (Eq (P Xd) (P Xdd))) (Ne (P a_2) (P Xcc)) →
% 8.17/8.42                                    Eq (P Xe) (P Xhh)))
% 8.17/8.42                                (And (And (Eq (P Xe) (P Xee)) (Eq (P Xh) (P Xhh))) (Eq (P Xc) (P Xdd)) →
% 8.17/8.42                                  Ne (P a) (P Xbb)))
% 8.17/8.42                              (And (And (And (Eq (P a_2) (P Xbb)) (Eq (P Xbb) (P Xc))) (Eq (P Xc) (P Xcc)))
% 8.17/8.42                                  (Ne (P Xe) (P Xhh)) →
% 8.17/8.42                                Eq (P Xd) (P Xee)) →
% 8.17/8.42                            Or
% 8.17/8.42                              (Or
% 8.17/8.42                                (Or (Or (Or (Ne (P a) (P a_1)) (Ne (P a_2) (P Xbb))) (Ne (P Xc) (P Xcc)))
% 8.17/8.42                                  (Ne (P Xd) (P Xdd)))
% 8.17/8.42                                (Ne (P Xe) (P Xee)))
% 8.17/8.42                              (Ne (P Xh) (P Xhh)))
% 8.17/8.42      False
% 8.17/8.42  Clause #5 (by clausification #[4]): ∀ (a a_1 a_2 a_3 : Iota),
% 8.17/8.42    Eq
% 8.17/8.42      (Exists fun Xc =>
% 8.17/8.42        Exists fun Xcc =>
% 8.17/8.42          Exists fun Xd =>
% 8.17/8.42            Exists fun Xdd =>
% 8.17/8.42              Exists fun Xe =>
% 8.17/8.42                Exists fun Xee =>
% 8.17/8.42                  Exists fun Xh =>
% 8.17/8.42                    Exists fun Xhh =>
% 8.17/8.42                      ∀ (P : Iota → Iota),
% 8.17/8.42                        And
% 8.17/8.42                            (And
% 8.17/8.42                              (And
% 8.17/8.42                                (And
% 8.17/8.42                                  (And
% 8.17/8.42                                    (And (And (Eq (P a) (P a_1)) (Eq (P a_2) (P a_3))) (Eq (P Xe) (P Xhh)) →
% 8.17/8.42                                      Eq (P Xc) (P Xdd))
% 8.17/8.42                                    (And (And (Eq (P a) (P a_1)) (Eq (P Xh) (P Xhh))) (Eq (P a_2) (P Xcc)) →
% 8.17/8.42                                      Ne (P Xd) (P Xee)))
% 8.17/8.42                                  (And (And (And (Eq (P Xc) (P Xcc)) (Eq (P Xcc) (P Xd))) (Eq (P Xd) (P Xdd)))
% 8.17/8.42                                      (Ne (P a) (P a_3)) →
% 8.17/8.42                                    Ne (P Xe) (P Xhh)))
% 8.17/8.42                                (And (And (Eq (P a) (P a_1)) (Eq (P Xd) (P Xdd))) (Ne (P a_2) (P Xcc)) →
% 8.17/8.42                                  Eq (P Xe) (P Xhh)))
% 8.17/8.42                              (And (And (Eq (P Xe) (P Xee)) (Eq (P Xh) (P Xhh))) (Eq (P Xc) (P Xdd)) → Ne (P a) (P a_3)))
% 8.17/8.42                            (And (And (And (Eq (P a_2) (P a_3)) (Eq (P a_3) (P Xc))) (Eq (P Xc) (P Xcc)))
% 8.17/8.42                                (Ne (P Xe) (P Xhh)) →
% 8.17/8.42                              Eq (P Xd) (P Xee)) →
% 8.17/8.42                          Or
% 8.17/8.42                            (Or
% 8.17/8.42                              (Or (Or (Or (Ne (P a) (P a_1)) (Ne (P a_2) (P a_3))) (Ne (P Xc) (P Xcc)))
% 8.26/8.48                                (Ne (P Xd) (P Xdd)))
% 8.26/8.48                              (Ne (P Xe) (P Xee)))
% 8.26/8.48                            (Ne (P Xh) (P Xhh)))
% 8.26/8.48      False
% 8.26/8.48  Clause #6 (by clausification #[5]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 8.26/8.48    Eq
% 8.26/8.48      (Exists fun Xcc =>
% 8.26/8.48        Exists fun Xd =>
% 8.26/8.48          Exists fun Xdd =>
% 8.26/8.48            Exists fun Xe =>
% 8.26/8.48              Exists fun Xee =>
% 8.26/8.48                Exists fun Xh =>
% 8.26/8.48                  Exists fun Xhh =>
% 8.26/8.48                    ∀ (P : Iota → Iota),
% 8.26/8.48                      And
% 8.26/8.48                          (And
% 8.26/8.48                            (And
% 8.26/8.48                              (And
% 8.26/8.48                                (And
% 8.26/8.48                                  (And (And (Eq (P a) (P a_1)) (Eq (P a_2) (P a_3))) (Eq (P Xe) (P Xhh)) →
% 8.26/8.48                                    Eq (P a_4) (P Xdd))
% 8.26/8.48                                  (And (And (Eq (P a) (P a_1)) (Eq (P Xh) (P Xhh))) (Eq (P a_2) (P Xcc)) →
% 8.26/8.48                                    Ne (P Xd) (P Xee)))
% 8.26/8.48                                (And (And (And (Eq (P a_4) (P Xcc)) (Eq (P Xcc) (P Xd))) (Eq (P Xd) (P Xdd)))
% 8.26/8.48                                    (Ne (P a) (P a_3)) →
% 8.26/8.48                                  Ne (P Xe) (P Xhh)))
% 8.26/8.48                              (And (And (Eq (P a) (P a_1)) (Eq (P Xd) (P Xdd))) (Ne (P a_2) (P Xcc)) → Eq (P Xe) (P Xhh)))
% 8.26/8.48                            (And (And (Eq (P Xe) (P Xee)) (Eq (P Xh) (P Xhh))) (Eq (P a_4) (P Xdd)) → Ne (P a) (P a_3)))
% 8.26/8.48                          (And (And (And (Eq (P a_2) (P a_3)) (Eq (P a_3) (P a_4))) (Eq (P a_4) (P Xcc)))
% 8.26/8.48                              (Ne (P Xe) (P Xhh)) →
% 8.26/8.48                            Eq (P Xd) (P Xee)) →
% 8.26/8.48                        Or
% 8.26/8.48                          (Or
% 8.26/8.48                            (Or (Or (Or (Ne (P a) (P a_1)) (Ne (P a_2) (P a_3))) (Ne (P a_4) (P Xcc)))
% 8.26/8.48                              (Ne (P Xd) (P Xdd)))
% 8.26/8.48                            (Ne (P Xe) (P Xee)))
% 8.26/8.48                          (Ne (P Xh) (P Xhh)))
% 8.26/8.48      False
% 8.26/8.48  Clause #7 (by clausification #[6]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 8.26/8.48    Eq
% 8.26/8.48      (Exists fun Xd =>
% 8.26/8.48        Exists fun Xdd =>
% 8.26/8.48          Exists fun Xe =>
% 8.26/8.48            Exists fun Xee =>
% 8.26/8.48              Exists fun Xh =>
% 8.26/8.48                Exists fun Xhh =>
% 8.26/8.48                  ∀ (P : Iota → Iota),
% 8.26/8.48                    And
% 8.26/8.48                        (And
% 8.26/8.48                          (And
% 8.26/8.48                            (And
% 8.26/8.48                              (And
% 8.26/8.48                                (And (And (Eq (P a) (P a_1)) (Eq (P a_2) (P a_3))) (Eq (P Xe) (P Xhh)) →
% 8.26/8.48                                  Eq (P a_4) (P Xdd))
% 8.26/8.48                                (And (And (Eq (P a) (P a_1)) (Eq (P Xh) (P Xhh))) (Eq (P a_2) (P a_5)) →
% 8.26/8.48                                  Ne (P Xd) (P Xee)))
% 8.26/8.48                              (And (And (And (Eq (P a_4) (P a_5)) (Eq (P a_5) (P Xd))) (Eq (P Xd) (P Xdd)))
% 8.26/8.48                                  (Ne (P a) (P a_3)) →
% 8.26/8.48                                Ne (P Xe) (P Xhh)))
% 8.26/8.48                            (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)))
% 8.26/8.48                          (And (And (Eq (P Xe) (P Xee)) (Eq (P Xh) (P Xhh))) (Eq (P a_4) (P Xdd)) → Ne (P a) (P a_3)))
% 8.26/8.48                        (And (And (And (Eq (P a_2) (P a_3)) (Eq (P a_3) (P a_4))) (Eq (P a_4) (P a_5)))
% 8.26/8.48                            (Ne (P Xe) (P Xhh)) →
% 8.26/8.48                          Eq (P Xd) (P Xee)) →
% 8.26/8.48                      Or
% 8.26/8.48                        (Or
% 8.26/8.48                          (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)))
% 8.26/8.48                          (Ne (P Xe) (P Xee)))
% 8.26/8.48                        (Ne (P Xh) (P Xhh)))
% 8.26/8.48      False
% 8.26/8.48  Clause #8 (by clausification #[7]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 8.26/8.48    Eq
% 8.26/8.48      (Exists fun Xdd =>
% 8.26/8.48        Exists fun Xe =>
% 8.26/8.48          Exists fun Xee =>
% 8.26/8.48            Exists fun Xh =>
% 8.26/8.48              Exists fun Xhh =>
% 8.26/8.48                ∀ (P : Iota → Iota),
% 8.26/8.48                  And
% 8.26/8.48                      (And
% 8.26/8.48                        (And
% 8.26/8.48                          (And
% 8.26/8.48                            (And
% 8.26/8.48                              (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))
% 8.33/8.54                              (And (And (Eq (P a) (P a_1)) (Eq (P Xh) (P Xhh))) (Eq (P a_2) (P a_5)) →
% 8.33/8.54                                Ne (P a_6) (P Xee)))
% 8.33/8.54                            (And (And (And (Eq (P a_4) (P a_5)) (Eq (P a_5) (P a_6))) (Eq (P a_6) (P Xdd)))
% 8.33/8.54                                (Ne (P a) (P a_3)) →
% 8.33/8.54                              Ne (P Xe) (P Xhh)))
% 8.33/8.54                          (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)))
% 8.33/8.54                        (And (And (Eq (P Xe) (P Xee)) (Eq (P Xh) (P Xhh))) (Eq (P a_4) (P Xdd)) → Ne (P a) (P a_3)))
% 8.33/8.54                      (And (And (And (Eq (P a_2) (P a_3)) (Eq (P a_3) (P a_4))) (Eq (P a_4) (P a_5)))
% 8.33/8.54                          (Ne (P Xe) (P Xhh)) →
% 8.33/8.54                        Eq (P a_6) (P Xee)) →
% 8.33/8.54                    Or
% 8.33/8.54                      (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)))
% 8.33/8.54                        (Ne (P Xe) (P Xee)))
% 8.33/8.54                      (Ne (P Xh) (P Xhh)))
% 8.33/8.54      False
% 8.33/8.54  Clause #9 (by clausification #[8]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 8.33/8.54    Eq
% 8.33/8.54      (Exists fun Xe =>
% 8.33/8.54        Exists fun Xee =>
% 8.33/8.54          Exists fun Xh =>
% 8.33/8.54            Exists fun Xhh =>
% 8.33/8.54              ∀ (P : Iota → Iota),
% 8.33/8.54                And
% 8.33/8.54                    (And
% 8.33/8.54                      (And
% 8.33/8.54                        (And
% 8.33/8.54                          (And
% 8.33/8.54                            (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))
% 8.33/8.54                            (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)))
% 8.33/8.54                          (And (And (And (Eq (P a_4) (P a_6)) (Eq (P a_6) (P a_7))) (Eq (P a_7) (P a_5)))
% 8.33/8.54                              (Ne (P a) (P a_3)) →
% 8.33/8.54                            Ne (P Xe) (P Xhh)))
% 8.33/8.54                        (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)))
% 8.33/8.54                      (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)))
% 8.33/8.54                    (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)) →
% 8.33/8.54                      Eq (P a_7) (P Xee)) →
% 8.33/8.54                  Or
% 8.33/8.54                    (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)))
% 8.33/8.54                      (Ne (P Xe) (P Xee)))
% 8.33/8.54                    (Ne (P Xh) (P Xhh)))
% 8.33/8.54      False
% 8.33/8.54  Clause #10 (by clausification #[9]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 8.33/8.54    Eq
% 8.33/8.54      (Exists fun Xee =>
% 8.33/8.54        Exists fun Xh =>
% 8.33/8.54          Exists fun Xhh =>
% 8.33/8.54            ∀ (P : Iota → Iota),
% 8.33/8.54              And
% 8.33/8.54                  (And
% 8.33/8.54                    (And
% 8.33/8.54                      (And
% 8.33/8.54                        (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))
% 8.33/8.54                          (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)))
% 8.33/8.54                        (And (And (And (Eq (P a_5) (P a_7)) (Eq (P a_7) (P a_8))) (Eq (P a_8) (P a_6)))
% 8.33/8.54                            (Ne (P a) (P a_3)) →
% 8.33/8.54                          Ne (P a_4) (P Xhh)))
% 8.33/8.54                      (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)))
% 8.33/8.54                    (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)))
% 8.33/8.54                  (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)) →
% 8.33/8.54                    Eq (P a_8) (P Xee)) →
% 8.33/8.54                Or
% 8.33/8.54                  (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)))
% 8.33/8.54                    (Ne (P a_4) (P Xee)))
% 8.33/8.54                  (Ne (P Xh) (P Xhh)))
% 8.33/8.54      False
% 8.33/8.54  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),
% 8.33/8.54    Eq
% 8.33/8.54      (Exists fun Xh =>
% 8.33/8.54        Exists fun Xhh =>
% 8.33/8.54          ∀ (P : Iota → Iota),
% 8.33/8.54            And
% 8.33/8.54                (And
% 8.33/8.54                  (And
% 8.33/8.54                    (And
% 8.33/8.54                      (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))
% 8.45/8.64                        (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)))
% 8.45/8.64                      (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)) →
% 8.45/8.64                        Ne (P a_4) (P Xhh)))
% 8.45/8.64                    (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)))
% 8.45/8.64                  (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)))
% 8.45/8.64                (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)) →
% 8.45/8.64                  Eq (P a_8) (P a_9)) →
% 8.45/8.64              Or
% 8.45/8.64                (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)))
% 8.45/8.64                  (Ne (P a_4) (P a_9)))
% 8.45/8.64                (Ne (P Xh) (P Xhh)))
% 8.45/8.64      False
% 8.45/8.64  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),
% 8.45/8.64    Eq
% 8.45/8.64      (Exists fun Xhh =>
% 8.45/8.64        ∀ (P : Iota → Iota),
% 8.45/8.64          And
% 8.45/8.64              (And
% 8.45/8.64                (And
% 8.45/8.64                  (And
% 8.45/8.64                    (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))
% 8.45/8.64                      (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)))
% 8.45/8.64                    (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)) →
% 8.45/8.64                      Ne (P a_4) (P Xhh)))
% 8.45/8.64                  (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)))
% 8.45/8.64                (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)))
% 8.45/8.64              (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)) →
% 8.45/8.64                Eq (P a_9) (P a_10)) →
% 8.45/8.64            Or
% 8.45/8.64              (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)))
% 8.45/8.64                (Ne (P a_4) (P a_10)))
% 8.45/8.64              (Ne (P a_7) (P Xhh)))
% 8.45/8.64      False
% 8.45/8.64  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),
% 8.45/8.64    Eq
% 8.45/8.64      (∀ (P : Iota → Iota),
% 8.45/8.64        And
% 8.45/8.64            (And
% 8.45/8.64              (And
% 8.45/8.64                (And
% 8.45/8.64                  (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))
% 8.45/8.64                    (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)))
% 8.45/8.64                  (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)) →
% 8.45/8.64                    Ne (P a_4) (P a_5)))
% 8.45/8.64                (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)))
% 8.45/8.64              (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)))
% 8.45/8.64            (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)) →
% 8.45/8.64              Eq (P a_10) (P a_11)) →
% 8.45/8.64          Or
% 8.45/8.64            (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)))
% 8.45/8.64              (Ne (P a_4) (P a_11)))
% 8.45/8.64            (Ne (P a_8) (P a_5)))
% 8.45/8.64      False
% 8.45/8.64  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),
% 8.45/8.64    Eq
% 8.45/8.64      (Not
% 8.45/8.64        (And
% 8.45/8.64            (And
% 8.45/8.64              (And
% 8.45/8.64                (And
% 8.45/8.64                  (And
% 8.45/8.64                    (And
% 8.45/8.64                        (And
% 8.45/8.64                          (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)
% 8.45/8.64                            (skS.0 0 a a_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))
% 8.45/8.64                          (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)
% 8.45/8.64                            (skS.0 0 a a_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)))
% 8.45/8.64                        (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)
% 8.45/8.64                          (skS.0 0 a a_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)) →
% 8.45/8.64                      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)
% 8.45/8.64                        (skS.0 0 a a_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))
% 8.45/8.64                    (And
% 8.45/8.64                        (And
% 8.45/8.64                          (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)
% 8.45/8.64                            (skS.0 0 a a_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))
% 8.45/8.64                          (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)
% 8.45/8.64                            (skS.0 0 a a_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)))
% 8.45/8.64                        (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)
% 8.45/8.64                          (skS.0 0 a a_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)) →
% 8.45/8.64                      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)
% 8.45/8.64                        (skS.0 0 a a_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)))
% 8.45/8.64                  (And
% 8.45/8.64                      (And
% 8.45/8.64                        (And
% 8.45/8.64                          (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)
% 8.45/8.64                            (skS.0 0 a a_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))
% 8.45/8.64                          (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)
% 8.45/8.64                            (skS.0 0 a a_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)))
% 8.45/8.64                        (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)
% 8.45/8.64                          (skS.0 0 a a_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)))
% 8.45/8.64                      (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)
% 8.45/8.64                        (skS.0 0 a a_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)) →
% 8.45/8.64                    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)
% 8.45/8.64                      (skS.0 0 a a_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)))
% 8.45/8.64                (And
% 8.45/8.64                    (And
% 8.45/8.64                      (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)
% 8.45/8.64                        (skS.0 0 a a_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))
% 8.45/8.64                      (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)
% 8.45/8.64                        (skS.0 0 a a_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)))
% 8.45/8.64                    (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)
% 8.45/8.64                      (skS.0 0 a a_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)) →
% 8.45/8.64                  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)
% 8.45/8.64                    (skS.0 0 a a_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)))
% 8.45/8.64              (And
% 8.45/8.64                  (And
% 8.45/8.64                    (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)
% 8.45/8.64                      (skS.0 0 a a_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))
% 8.45/8.64                    (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)
% 8.45/8.64                      (skS.0 0 a a_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)))
% 8.45/8.64                  (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)
% 8.45/8.64                    (skS.0 0 a a_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)) →
% 8.45/8.64                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)
% 8.45/8.64                  (skS.0 0 a a_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)))
% 8.45/8.64            (And
% 8.45/8.64                (And
% 8.45/8.64                  (And
% 8.45/8.64                    (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)
% 8.45/8.64                      (skS.0 0 a a_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))
% 8.45/8.64                    (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)
% 8.45/8.64                      (skS.0 0 a a_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)))
% 8.45/8.64                  (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)
% 8.45/8.64                    (skS.0 0 a a_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)))
% 8.45/8.70                (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)
% 8.45/8.70                  (skS.0 0 a a_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)) →
% 8.45/8.70              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)
% 8.45/8.70                (skS.0 0 a a_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)) →
% 8.45/8.70          Or
% 8.45/8.70            (Or
% 8.45/8.70              (Or
% 8.45/8.70                (Or
% 8.45/8.70                  (Or
% 8.45/8.70                    (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)
% 8.45/8.70                      (skS.0 0 a a_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))
% 8.45/8.70                    (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)
% 8.45/8.70                      (skS.0 0 a a_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)))
% 8.45/8.70                  (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)
% 8.45/8.70                    (skS.0 0 a a_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)))
% 8.45/8.70                (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)
% 8.45/8.70                  (skS.0 0 a a_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)))
% 8.45/8.70              (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)
% 8.45/8.70                (skS.0 0 a a_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)))
% 8.45/8.70            (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)
% 8.45/8.70              (skS.0 0 a a_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))))
% 8.45/8.70      True
% 8.45/8.70  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),
% 8.45/8.70    Eq
% 8.45/8.70      (And
% 8.45/8.70          (And
% 8.45/8.70            (And
% 8.45/8.70              (And
% 8.45/8.70                (And
% 8.45/8.70                  (And
% 8.45/8.70                      (And
% 8.45/8.70                        (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)
% 8.45/8.70                          (skS.0 0 a a_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))
% 8.45/8.70                        (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)
% 8.45/8.70                          (skS.0 0 a a_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)))
% 8.45/8.70                      (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)
% 8.45/8.70                        (skS.0 0 a a_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)) →
% 8.45/8.70                    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)
% 8.45/8.70                      (skS.0 0 a a_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))
% 8.45/8.70                  (And
% 8.45/8.70                      (And
% 8.45/8.70                        (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)
% 8.45/8.70                          (skS.0 0 a a_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))
% 8.45/8.70                        (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)
% 8.45/8.70                          (skS.0 0 a a_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)))
% 8.45/8.70                      (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)
% 8.45/8.70                        (skS.0 0 a a_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)) →
% 8.45/8.70                    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)
% 8.45/8.70                      (skS.0 0 a a_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)))
% 8.45/8.70                (And
% 8.45/8.70                    (And
% 8.45/8.70                      (And
% 8.45/8.70                        (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)
% 8.45/8.70                          (skS.0 0 a a_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))
% 8.45/8.70                        (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)
% 8.45/8.70                          (skS.0 0 a a_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)))
% 8.45/8.70                      (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)
% 8.45/8.70                        (skS.0 0 a a_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)))
% 8.45/8.70                    (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)
% 8.45/8.70                      (skS.0 0 a a_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)) →
% 8.45/8.70                  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)
% 8.54/8.75                    (skS.0 0 a a_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)))
% 8.54/8.75              (And
% 8.54/8.75                  (And
% 8.54/8.75                    (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)
% 8.54/8.75                      (skS.0 0 a a_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))
% 8.54/8.75                    (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)
% 8.54/8.75                      (skS.0 0 a a_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)))
% 8.54/8.75                  (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)
% 8.54/8.75                    (skS.0 0 a a_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)) →
% 8.54/8.75                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)
% 8.54/8.75                  (skS.0 0 a a_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)))
% 8.54/8.75            (And
% 8.54/8.75                (And
% 8.54/8.75                  (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)
% 8.54/8.75                    (skS.0 0 a a_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))
% 8.54/8.75                  (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)
% 8.54/8.75                    (skS.0 0 a a_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)))
% 8.54/8.75                (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)
% 8.54/8.75                  (skS.0 0 a a_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)) →
% 8.54/8.75              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)
% 8.54/8.75                (skS.0 0 a a_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)))
% 8.54/8.75          (And
% 8.54/8.75              (And
% 8.54/8.75                (And
% 8.54/8.75                  (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)
% 8.54/8.75                    (skS.0 0 a a_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))
% 8.54/8.75                  (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)
% 8.54/8.75                    (skS.0 0 a a_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)))
% 8.54/8.75                (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)
% 8.54/8.75                  (skS.0 0 a a_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)))
% 8.54/8.75              (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)
% 8.54/8.75                (skS.0 0 a a_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)) →
% 8.54/8.75            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)
% 8.54/8.75              (skS.0 0 a a_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)) →
% 8.54/8.75        Or
% 8.54/8.75          (Or
% 8.54/8.75            (Or
% 8.54/8.75              (Or
% 8.54/8.75                (Or
% 8.54/8.75                  (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)
% 8.54/8.75                    (skS.0 0 a a_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))
% 8.54/8.75                  (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)
% 8.54/8.75                    (skS.0 0 a a_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)))
% 8.54/8.75                (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)
% 8.54/8.75                  (skS.0 0 a a_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)))
% 8.54/8.75              (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)
% 8.54/8.75                (skS.0 0 a a_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)))
% 8.54/8.75            (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)
% 8.54/8.75              (skS.0 0 a a_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)))
% 8.54/8.75          (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)
% 8.54/8.75            (skS.0 0 a a_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)))
% 8.54/8.75      False
% 8.54/8.75  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),
% 8.54/8.75    Eq
% 8.54/8.75      (And
% 8.54/8.75        (And
% 8.54/8.75          (And
% 8.54/8.75            (And
% 8.54/8.75              (And
% 8.54/8.75                (And
% 8.54/8.75                    (And
% 8.54/8.75                      (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)
% 8.54/8.75                        (skS.0 0 a a_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))
% 8.54/8.75                      (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)
% 8.54/8.75                        (skS.0 0 a a_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)))
% 8.54/8.75                    (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)
% 8.54/8.75                      (skS.0 0 a a_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)) →
% 8.54/8.75                  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)
% 8.54/8.75                    (skS.0 0 a a_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))
% 8.54/8.75                (And
% 8.54/8.75                    (And
% 8.54/8.75                      (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)
% 8.54/8.75                        (skS.0 0 a a_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))
% 8.54/8.75                      (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)
% 8.54/8.75                        (skS.0 0 a a_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)))
% 8.54/8.75                    (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)
% 8.54/8.75                      (skS.0 0 a a_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)) →
% 8.54/8.75                  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)
% 8.54/8.75                    (skS.0 0 a a_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)))
% 8.54/8.75              (And
% 8.54/8.75                  (And
% 8.54/8.75                    (And
% 8.54/8.75                      (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)
% 8.54/8.75                        (skS.0 0 a a_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))
% 8.54/8.75                      (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)
% 8.54/8.75                        (skS.0 0 a a_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)))
% 8.54/8.75                    (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)
% 8.54/8.75                      (skS.0 0 a a_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)))
% 8.54/8.75                  (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)
% 8.54/8.75                    (skS.0 0 a a_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)) →
% 8.54/8.75                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)
% 8.54/8.75                  (skS.0 0 a a_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)))
% 8.54/8.75            (And
% 8.54/8.75                (And
% 8.54/8.75                  (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)
% 8.54/8.75                    (skS.0 0 a a_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))
% 8.54/8.75                  (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)
% 8.54/8.75                    (skS.0 0 a a_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)))
% 8.54/8.75                (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)
% 8.54/8.75                  (skS.0 0 a a_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)) →
% 8.54/8.75              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)
% 8.54/8.75                (skS.0 0 a a_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)))
% 8.54/8.75          (And
% 8.54/8.75              (And
% 8.54/8.75                (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)
% 8.54/8.75                  (skS.0 0 a a_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))
% 8.54/8.75                (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)
% 8.54/8.75                  (skS.0 0 a a_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)))
% 8.54/8.75              (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)
% 8.54/8.75                (skS.0 0 a a_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)) →
% 8.54/8.75            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)
% 8.54/8.75              (skS.0 0 a a_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)))
% 8.54/8.75        (And
% 8.54/8.75            (And
% 8.54/8.75              (And
% 8.54/8.75                (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)
% 8.54/8.75                  (skS.0 0 a a_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))
% 8.54/8.75                (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)
% 8.54/8.75                  (skS.0 0 a a_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)))
% 8.54/8.75              (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)
% 8.54/8.75                (skS.0 0 a a_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)))
% 8.62/8.81            (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)
% 8.62/8.81              (skS.0 0 a a_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)) →
% 8.62/8.81          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)
% 8.62/8.81            (skS.0 0 a a_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)))
% 8.62/8.81      True
% 8.62/8.81  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),
% 8.62/8.81    Eq
% 8.62/8.81      (Or
% 8.62/8.81        (Or
% 8.62/8.81          (Or
% 8.62/8.81            (Or
% 8.62/8.81              (Or
% 8.62/8.81                (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)
% 8.62/8.81                  (skS.0 0 a a_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))
% 8.62/8.81                (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)
% 8.62/8.81                  (skS.0 0 a a_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)))
% 8.62/8.81              (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)
% 8.62/8.81                (skS.0 0 a a_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)))
% 8.62/8.81            (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)
% 8.62/8.81              (skS.0 0 a a_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)))
% 8.62/8.81          (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)
% 8.62/8.81            (skS.0 0 a a_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)))
% 8.62/8.81        (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)
% 8.62/8.81          (skS.0 0 a a_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)))
% 8.62/8.81      False
% 8.62/8.81  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),
% 8.62/8.81    Eq
% 8.62/8.81      (And
% 8.62/8.81        (And
% 8.62/8.81          (And
% 8.62/8.81            (And
% 8.62/8.81              (And
% 8.62/8.81                  (And
% 8.62/8.81                    (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)
% 8.62/8.81                      (skS.0 0 a a_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))
% 8.62/8.81                    (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)
% 8.62/8.81                      (skS.0 0 a a_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)))
% 8.62/8.81                  (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)
% 8.62/8.81                    (skS.0 0 a a_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)) →
% 8.62/8.81                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)
% 8.62/8.81                  (skS.0 0 a a_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))
% 8.62/8.81              (And
% 8.62/8.81                  (And
% 8.62/8.81                    (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)
% 8.62/8.81                      (skS.0 0 a a_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))
% 8.62/8.81                    (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)
% 8.62/8.81                      (skS.0 0 a a_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)))
% 8.62/8.81                  (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)
% 8.62/8.81                    (skS.0 0 a a_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)) →
% 8.62/8.81                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)
% 8.62/8.81                  (skS.0 0 a a_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)))
% 8.62/8.81            (And
% 8.62/8.81                (And
% 8.62/8.81                  (And
% 8.62/8.81                    (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)
% 8.62/8.81                      (skS.0 0 a a_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))
% 8.62/8.81                    (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)
% 8.62/8.81                      (skS.0 0 a a_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)))
% 8.62/8.81                  (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)
% 8.62/8.81                    (skS.0 0 a a_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)))
% 8.62/8.81                (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)
% 8.62/8.81                  (skS.0 0 a a_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)) →
% 8.62/8.81              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)
% 8.62/8.81                (skS.0 0 a a_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)))
% 8.62/8.81          (And
% 8.62/8.84              (And
% 8.62/8.84                (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)
% 8.62/8.84                  (skS.0 0 a a_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))
% 8.62/8.84                (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)
% 8.62/8.84                  (skS.0 0 a a_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)))
% 8.62/8.84              (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)
% 8.62/8.84                (skS.0 0 a a_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)) →
% 8.62/8.84            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)
% 8.62/8.84              (skS.0 0 a a_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)))
% 8.62/8.84        (And
% 8.62/8.84            (And
% 8.62/8.84              (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)
% 8.62/8.84                (skS.0 0 a a_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))
% 8.62/8.84              (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)
% 8.62/8.84                (skS.0 0 a a_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)))
% 8.62/8.84            (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)
% 8.62/8.84              (skS.0 0 a a_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)) →
% 8.62/8.84          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)
% 8.62/8.84            (skS.0 0 a a_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)))
% 8.62/8.84      True
% 8.62/8.84  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),
% 8.62/8.84    Eq
% 8.62/8.84      (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)
% 8.62/8.84        (skS.0 0 a a_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))
% 8.62/8.84      False
% 8.62/8.84  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),
% 8.62/8.84    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)
% 8.62/8.84      (skS.0 0 a a_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)
% 8.62/8.84  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),
% 8.62/8.84    Eq
% 8.62/8.84      (And
% 8.62/8.84          (And
% 8.62/8.84            (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)
% 8.62/8.84              (skS.0 0 a a_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))
% 8.62/8.84            (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)
% 8.62/8.84              (skS.0 0 a a_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)))
% 8.62/8.84          (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)
% 8.62/8.84            (skS.0 0 a a_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)) →
% 8.62/8.84        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)
% 8.62/8.84          (skS.0 0 a a_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))
% 8.62/8.84      True
% 8.62/8.84  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),
% 8.62/8.84    Or
% 8.62/8.84      (Eq
% 8.62/8.84        (And
% 8.62/8.84          (And
% 8.62/8.84            (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)
% 8.62/8.84              (skS.0 0 a a_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))
% 8.62/8.84            (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)
% 8.62/8.84              (skS.0 0 a a_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)))
% 8.62/8.84          (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)
% 8.62/8.84            (skS.0 0 a a_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)))
% 8.62/8.84        False)
% 8.62/8.84      (Eq
% 8.62/8.84        (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)
% 8.62/8.84          (skS.0 0 a a_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))
% 8.62/8.84        True)
% 8.62/8.84  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),
% 8.62/8.84    Or
% 8.62/8.84      (Eq
% 8.62/8.84        (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)
% 8.62/8.84          (skS.0 0 a a_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))
% 8.62/8.84        True)
% 8.62/8.84      (Or
% 8.62/8.84        (Eq
% 8.62/8.84          (And
% 8.62/8.84            (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)
% 8.62/8.84              (skS.0 0 a a_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))
% 8.62/8.84            (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)
% 8.72/8.89              (skS.0 0 a a_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)))
% 8.72/8.89          False)
% 8.72/8.89        (Eq
% 8.72/8.89          (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)
% 8.72/8.89            (skS.0 0 a a_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))
% 8.72/8.89          False))
% 8.72/8.89  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),
% 8.72/8.89    Or
% 8.72/8.89      (Eq
% 8.72/8.89        (And
% 8.72/8.89          (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)
% 8.72/8.89            (skS.0 0 a a_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))
% 8.72/8.89          (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)
% 8.72/8.89            (skS.0 0 a a_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)))
% 8.72/8.89        False)
% 8.72/8.89      (Or
% 8.72/8.89        (Eq
% 8.72/8.89          (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)
% 8.72/8.89            (skS.0 0 a a_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))
% 8.72/8.89          False)
% 8.72/8.89        (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)
% 8.72/8.89          (skS.0 0 a a_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)))
% 8.72/8.89  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),
% 8.72/8.89    Or
% 8.72/8.89      (Eq
% 8.72/8.89        (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)
% 8.72/8.89          (skS.0 0 a a_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))
% 8.72/8.89        False)
% 8.72/8.89      (Or
% 8.72/8.89        (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)
% 8.72/8.89          (skS.0 0 a a_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))
% 8.72/8.89        (Or
% 8.72/8.89          (Eq
% 8.72/8.89            (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)
% 8.72/8.89              (skS.0 0 a a_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))
% 8.72/8.89            False)
% 8.72/8.89          (Eq
% 8.72/8.89            (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)
% 8.72/8.89              (skS.0 0 a a_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))
% 8.72/8.89            False)))
% 8.72/8.89  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),
% 8.72/8.89    Or
% 8.72/8.89      (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)
% 8.72/8.89        (skS.0 0 a a_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))
% 8.72/8.89      (Or
% 8.72/8.89        (Eq
% 8.72/8.89          (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)
% 8.72/8.89            (skS.0 0 a a_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))
% 8.72/8.89          False)
% 8.72/8.89        (Or
% 8.72/8.89          (Eq
% 8.72/8.89            (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)
% 8.72/8.89              (skS.0 0 a a_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))
% 8.72/8.89            False)
% 8.72/8.89          (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)
% 8.72/8.89            (skS.0 0 a a_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))))
% 8.72/8.89  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),
% 8.72/8.89    Or
% 8.72/8.89      (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)
% 8.72/8.89        (skS.0 0 a a_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))
% 8.72/8.89      (Or
% 8.72/8.89        (Eq
% 8.72/8.89          (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)
% 8.72/8.89            (skS.0 0 a a_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))
% 8.72/8.89          False)
% 8.72/8.89        (Or
% 8.72/8.89          (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)
% 8.72/8.89            (skS.0 0 a a_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))
% 8.72/8.89          (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)
% 8.72/8.89            (skS.0 0 a a_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))))
% 8.72/8.89  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),
% 8.72/8.89    Or
% 8.72/8.89      (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)
% 8.72/8.89        (skS.0 0 a a_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))
% 8.72/8.89      (Or
% 8.72/8.89        (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)
% 8.72/8.89          (skS.0 0 a a_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))
% 8.72/8.89        (Or
% 8.72/8.89          (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)
% 8.74/8.90            (skS.0 0 a a_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))
% 8.74/8.90          (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)
% 8.74/8.90            (skS.0 0 a a_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))))
% 8.74/8.90  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),
% 8.74/8.90    Or
% 8.74/8.90      (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)
% 8.74/8.90        (skS.0 0 a a_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))
% 8.74/8.90      (Or
% 8.74/8.90        (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)
% 8.74/8.90          (skS.0 0 a a_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))
% 8.74/8.90        (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)
% 8.74/8.90          (skS.0 0 a a_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)))
% 8.74/8.90  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),
% 8.74/8.90    Or
% 8.74/8.90      (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)
% 8.74/8.90        (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))
% 8.74/8.90      (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)
% 8.74/8.90        (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))
% 8.74/8.90  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),
% 8.74/8.90    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)
% 8.74/8.90      (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)
% 8.74/8.90  Clause #154 (by equality resolution #[125]): False
% 8.74/8.90  SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------