TSTP Solution File: ITP010^1 by Duper---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : ITP010^1 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 03:37:49 EDT 2023

% Result   : Theorem 127.59s 127.77s
% Output   : Proof 128.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : ITP010^1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.00/0.14  % Command    : duper %s
% 0.14/0.35  % Computer : n019.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sun Aug 27 16:00:28 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 127.59/127.77  SZS status Theorem for theBenchmark.p
% 127.59/127.77  SZS output start Proof for theBenchmark.p
% 127.59/127.77  Clause #41 (by assumption #[]): Eq
% 127.59/127.77    (Not
% 127.59/127.77      (∀ (A_27a A_27b : d) (V0s_2E0 V1t_2E0 : u),
% 127.59/127.77        Iff
% 127.59/127.77          (Not
% 127.59/127.77            (j_mono_2Etyop_2Emin_2Ebool
% 127.59/127.77              (s tyop_2Emin_2Ebool
% 127.59/127.77                (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun A_27a tyop_2Emin_2Ebool) V0s_2E0)
% 127.59/127.77                  (s (tyop_2Emin_2Efun A_27b tyop_2Emin_2Ebool) V1t_2E0)))))
% 127.59/127.77          (Not
% 127.59/127.77            (j_mono_2Etyop_2Emin_2Ebool
% 127.59/127.77              (s tyop_2Emin_2Ebool
% 127.59/127.77                (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun A_27a tyop_2Emin_2Ebool) V0s_2E0)
% 127.59/127.77                  (s (tyop_2Emin_2Efun A_27b tyop_2Emin_2Ebool) V1t_2E0)))))))
% 127.59/127.77    True
% 127.59/127.77  Clause #832 (by clausification #[41]): Eq
% 127.59/127.77    (∀ (A_27a A_27b : d) (V0s_2E0 V1t_2E0 : u),
% 127.59/127.77      Iff
% 127.59/127.77        (Not
% 127.59/127.77          (j_mono_2Etyop_2Emin_2Ebool
% 127.59/127.77            (s tyop_2Emin_2Ebool
% 127.59/127.77              (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun A_27a tyop_2Emin_2Ebool) V0s_2E0)
% 127.59/127.77                (s (tyop_2Emin_2Efun A_27b tyop_2Emin_2Ebool) V1t_2E0)))))
% 127.59/127.77        (Not
% 127.59/127.77          (j_mono_2Etyop_2Emin_2Ebool
% 127.59/127.77            (s tyop_2Emin_2Ebool
% 127.59/127.77              (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun A_27a tyop_2Emin_2Ebool) V0s_2E0)
% 127.59/127.77                (s (tyop_2Emin_2Efun A_27b tyop_2Emin_2Ebool) V1t_2E0))))))
% 127.59/127.77    False
% 127.59/127.77  Clause #833 (by clausification #[832]): ∀ (a : d),
% 127.59/127.77    Eq
% 127.59/127.77      (Not
% 127.59/127.77        (∀ (A_27b : d) (V0s_2E0 V1t_2E0 : u),
% 127.59/127.77          Iff
% 127.59/127.77            (Not
% 127.59/127.77              (j_mono_2Etyop_2Emin_2Ebool
% 127.59/127.77                (s tyop_2Emin_2Ebool
% 127.59/127.77                  (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun (skS.0 3 a) tyop_2Emin_2Ebool) V0s_2E0)
% 127.59/127.77                    (s (tyop_2Emin_2Efun A_27b tyop_2Emin_2Ebool) V1t_2E0)))))
% 127.59/127.77            (Not
% 127.59/127.77              (j_mono_2Etyop_2Emin_2Ebool
% 127.59/127.77                (s tyop_2Emin_2Ebool
% 127.59/127.77                  (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun (skS.0 3 a) tyop_2Emin_2Ebool) V0s_2E0)
% 127.59/127.77                    (s (tyop_2Emin_2Efun A_27b tyop_2Emin_2Ebool) V1t_2E0)))))))
% 127.59/127.77      True
% 127.59/127.77  Clause #834 (by clausification #[833]): ∀ (a : d),
% 127.59/127.77    Eq
% 127.59/127.77      (∀ (A_27b : d) (V0s_2E0 V1t_2E0 : u),
% 127.59/127.77        Iff
% 127.59/127.77          (Not
% 127.59/127.77            (j_mono_2Etyop_2Emin_2Ebool
% 127.59/127.77              (s tyop_2Emin_2Ebool
% 127.59/127.77                (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun (skS.0 3 a) tyop_2Emin_2Ebool) V0s_2E0)
% 127.59/127.77                  (s (tyop_2Emin_2Efun A_27b tyop_2Emin_2Ebool) V1t_2E0)))))
% 127.59/127.77          (Not
% 127.59/127.77            (j_mono_2Etyop_2Emin_2Ebool
% 127.59/127.77              (s tyop_2Emin_2Ebool
% 127.59/127.77                (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun (skS.0 3 a) tyop_2Emin_2Ebool) V0s_2E0)
% 127.59/127.77                  (s (tyop_2Emin_2Efun A_27b tyop_2Emin_2Ebool) V1t_2E0))))))
% 127.59/127.77      False
% 127.59/127.77  Clause #835 (by clausification #[834]): ∀ (a a_1 : d),
% 127.59/127.77    Eq
% 127.59/127.77      (Not
% 127.59/127.77        (∀ (V0s_2E0 V1t_2E0 : u),
% 127.59/127.77          Iff
% 127.59/127.77            (Not
% 127.59/127.77              (j_mono_2Etyop_2Emin_2Ebool
% 127.59/127.77                (s tyop_2Emin_2Ebool
% 127.59/127.77                  (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun (skS.0 3 a) tyop_2Emin_2Ebool) V0s_2E0)
% 127.59/127.77                    (s (tyop_2Emin_2Efun (skS.0 4 a a_1) tyop_2Emin_2Ebool) V1t_2E0)))))
% 127.59/127.77            (Not
% 127.59/127.77              (j_mono_2Etyop_2Emin_2Ebool
% 127.59/127.77                (s tyop_2Emin_2Ebool
% 127.59/127.77                  (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun (skS.0 3 a) tyop_2Emin_2Ebool) V0s_2E0)
% 127.59/127.77                    (s (tyop_2Emin_2Efun (skS.0 4 a a_1) tyop_2Emin_2Ebool) V1t_2E0)))))))
% 127.59/127.77      True
% 127.59/127.77  Clause #836 (by clausification #[835]): ∀ (a a_1 : d),
% 127.59/127.77    Eq
% 127.59/127.77      (∀ (V0s_2E0 V1t_2E0 : u),
% 127.59/127.77        Iff
% 127.59/127.77          (Not
% 127.59/127.77            (j_mono_2Etyop_2Emin_2Ebool
% 127.59/127.77              (s tyop_2Emin_2Ebool
% 127.59/127.77                (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun (skS.0 3 a) tyop_2Emin_2Ebool) V0s_2E0)
% 127.59/127.77                  (s (tyop_2Emin_2Efun (skS.0 4 a a_1) tyop_2Emin_2Ebool) V1t_2E0)))))
% 127.59/127.77          (Not
% 127.59/127.77            (j_mono_2Etyop_2Emin_2Ebool
% 127.59/127.77              (s tyop_2Emin_2Ebool
% 127.59/127.77                (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun (skS.0 3 a) tyop_2Emin_2Ebool) V0s_2E0)
% 127.59/127.77                  (s (tyop_2Emin_2Efun (skS.0 4 a a_1) tyop_2Emin_2Ebool) V1t_2E0))))))
% 127.59/127.77      False
% 127.59/127.77  Clause #837 (by clausification #[836]): ∀ (a a_1 : d) (a_2 : u),
% 127.59/127.77    Eq
% 127.59/127.77      (Not
% 127.59/127.77        (∀ (V1t_2E0 : u),
% 127.59/127.77          Iff
% 127.59/127.79            (Not
% 127.59/127.79              (j_mono_2Etyop_2Emin_2Ebool
% 127.59/127.79                (s tyop_2Emin_2Ebool
% 127.59/127.79                  (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun (skS.0 3 a) tyop_2Emin_2Ebool) (skS.0 5 a a_1 a_2))
% 127.59/127.79                    (s (tyop_2Emin_2Efun (skS.0 4 a a_1) tyop_2Emin_2Ebool) V1t_2E0)))))
% 127.59/127.79            (Not
% 127.59/127.79              (j_mono_2Etyop_2Emin_2Ebool
% 127.59/127.79                (s tyop_2Emin_2Ebool
% 127.59/127.79                  (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun (skS.0 3 a) tyop_2Emin_2Ebool) (skS.0 5 a a_1 a_2))
% 127.59/127.79                    (s (tyop_2Emin_2Efun (skS.0 4 a a_1) tyop_2Emin_2Ebool) V1t_2E0)))))))
% 127.59/127.79      True
% 127.59/127.79  Clause #838 (by clausification #[837]): ∀ (a a_1 : d) (a_2 : u),
% 127.59/127.79    Eq
% 127.59/127.79      (∀ (V1t_2E0 : u),
% 127.59/127.79        Iff
% 127.59/127.79          (Not
% 127.59/127.79            (j_mono_2Etyop_2Emin_2Ebool
% 127.59/127.79              (s tyop_2Emin_2Ebool
% 127.59/127.79                (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun (skS.0 3 a) tyop_2Emin_2Ebool) (skS.0 5 a a_1 a_2))
% 127.59/127.79                  (s (tyop_2Emin_2Efun (skS.0 4 a a_1) tyop_2Emin_2Ebool) V1t_2E0)))))
% 127.59/127.79          (Not
% 127.59/127.79            (j_mono_2Etyop_2Emin_2Ebool
% 127.59/127.79              (s tyop_2Emin_2Ebool
% 127.59/127.79                (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun (skS.0 3 a) tyop_2Emin_2Ebool) (skS.0 5 a a_1 a_2))
% 127.59/127.79                  (s (tyop_2Emin_2Efun (skS.0 4 a a_1) tyop_2Emin_2Ebool) V1t_2E0))))))
% 127.59/127.79      False
% 127.59/127.79  Clause #839 (by clausification #[838]): ∀ (a a_1 : d) (a_2 a_3 : u),
% 127.59/127.79    Eq
% 127.59/127.79      (Not
% 127.59/127.79        (Iff
% 127.59/127.79          (Not
% 127.59/127.79            (j_mono_2Etyop_2Emin_2Ebool
% 127.59/127.79              (s tyop_2Emin_2Ebool
% 127.59/127.79                (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun (skS.0 3 a) tyop_2Emin_2Ebool) (skS.0 5 a a_1 a_2))
% 127.59/127.79                  (s (tyop_2Emin_2Efun (skS.0 4 a a_1) tyop_2Emin_2Ebool) (skS.0 6 a a_1 a_2 a_3))))))
% 127.59/127.79          (Not
% 127.59/127.79            (j_mono_2Etyop_2Emin_2Ebool
% 127.59/127.79              (s tyop_2Emin_2Ebool
% 127.59/127.79                (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun (skS.0 3 a) tyop_2Emin_2Ebool) (skS.0 5 a a_1 a_2))
% 127.59/127.79                  (s (tyop_2Emin_2Efun (skS.0 4 a a_1) tyop_2Emin_2Ebool) (skS.0 6 a a_1 a_2 a_3))))))))
% 127.59/127.79      True
% 127.59/127.79  Clause #840 (by clausification #[839]): ∀ (a a_1 : d) (a_2 a_3 : u),
% 127.59/127.79    Eq
% 127.59/127.79      (Iff
% 127.59/127.79        (Not
% 127.59/127.79          (j_mono_2Etyop_2Emin_2Ebool
% 127.59/127.79            (s tyop_2Emin_2Ebool
% 127.59/127.79              (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun (skS.0 3 a) tyop_2Emin_2Ebool) (skS.0 5 a a_1 a_2))
% 127.59/127.79                (s (tyop_2Emin_2Efun (skS.0 4 a a_1) tyop_2Emin_2Ebool) (skS.0 6 a a_1 a_2 a_3))))))
% 127.59/127.79        (Not
% 127.59/127.79          (j_mono_2Etyop_2Emin_2Ebool
% 127.59/127.79            (s tyop_2Emin_2Ebool
% 127.59/127.79              (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun (skS.0 3 a) tyop_2Emin_2Ebool) (skS.0 5 a a_1 a_2))
% 127.59/127.79                (s (tyop_2Emin_2Efun (skS.0 4 a a_1) tyop_2Emin_2Ebool) (skS.0 6 a a_1 a_2 a_3)))))))
% 127.59/127.79      False
% 127.59/127.79  Clause #841 (by clausification #[840]): ∀ (a a_1 : d) (a_2 a_3 : u),
% 127.59/127.79    Or
% 127.59/127.79      (Eq
% 127.59/127.79        (Not
% 127.59/127.79          (j_mono_2Etyop_2Emin_2Ebool
% 127.59/127.79            (s tyop_2Emin_2Ebool
% 127.59/127.79              (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun (skS.0 3 a) tyop_2Emin_2Ebool) (skS.0 5 a a_1 a_2))
% 127.59/127.79                (s (tyop_2Emin_2Efun (skS.0 4 a a_1) tyop_2Emin_2Ebool) (skS.0 6 a a_1 a_2 a_3))))))
% 127.59/127.79        False)
% 127.59/127.79      (Eq
% 127.59/127.79        (Not
% 127.59/127.79          (j_mono_2Etyop_2Emin_2Ebool
% 127.59/127.79            (s tyop_2Emin_2Ebool
% 127.59/127.79              (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun (skS.0 3 a) tyop_2Emin_2Ebool) (skS.0 5 a a_1 a_2))
% 127.59/127.79                (s (tyop_2Emin_2Efun (skS.0 4 a a_1) tyop_2Emin_2Ebool) (skS.0 6 a a_1 a_2 a_3))))))
% 127.59/127.79        False)
% 127.59/127.79  Clause #842 (by clausification #[840]): ∀ (a a_1 : d) (a_2 a_3 : u),
% 127.59/127.79    Or
% 127.59/127.79      (Eq
% 127.59/127.79        (Not
% 127.59/127.79          (j_mono_2Etyop_2Emin_2Ebool
% 127.59/127.79            (s tyop_2Emin_2Ebool
% 127.59/127.79              (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun (skS.0 3 a) tyop_2Emin_2Ebool) (skS.0 5 a a_1 a_2))
% 127.59/127.79                (s (tyop_2Emin_2Efun (skS.0 4 a a_1) tyop_2Emin_2Ebool) (skS.0 6 a a_1 a_2 a_3))))))
% 127.59/127.79        True)
% 127.59/127.79      (Eq
% 127.59/127.79        (Not
% 127.59/127.79          (j_mono_2Etyop_2Emin_2Ebool
% 127.59/127.79            (s tyop_2Emin_2Ebool
% 127.59/127.79              (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun (skS.0 3 a) tyop_2Emin_2Ebool) (skS.0 5 a a_1 a_2))
% 127.59/127.79                (s (tyop_2Emin_2Efun (skS.0 4 a a_1) tyop_2Emin_2Ebool) (skS.0 6 a a_1 a_2 a_3))))))
% 127.59/127.79        True)
% 127.59/127.79  Clause #843 (by clausification #[841]): ∀ (a a_1 : d) (a_2 a_3 : u),
% 128.13/128.30    Or
% 128.13/128.30      (Eq
% 128.13/128.30        (Not
% 128.13/128.30          (j_mono_2Etyop_2Emin_2Ebool
% 128.13/128.30            (s tyop_2Emin_2Ebool
% 128.13/128.30              (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun (skS.0 3 a) tyop_2Emin_2Ebool) (skS.0 5 a a_1 a_2))
% 128.13/128.30                (s (tyop_2Emin_2Efun (skS.0 4 a a_1) tyop_2Emin_2Ebool) (skS.0 6 a a_1 a_2 a_3))))))
% 128.13/128.30        False)
% 128.13/128.30      (Eq
% 128.13/128.30        (j_mono_2Etyop_2Emin_2Ebool
% 128.13/128.30          (s tyop_2Emin_2Ebool
% 128.13/128.30            (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun (skS.0 3 a) tyop_2Emin_2Ebool) (skS.0 5 a a_1 a_2))
% 128.13/128.30              (s (tyop_2Emin_2Efun (skS.0 4 a a_1) tyop_2Emin_2Ebool) (skS.0 6 a a_1 a_2 a_3)))))
% 128.13/128.30        True)
% 128.13/128.30  Clause #844 (by clausification #[843]): ∀ (a a_1 : d) (a_2 a_3 : u),
% 128.13/128.30    Or
% 128.13/128.30      (Eq
% 128.13/128.30        (j_mono_2Etyop_2Emin_2Ebool
% 128.13/128.30          (s tyop_2Emin_2Ebool
% 128.13/128.30            (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun (skS.0 3 a) tyop_2Emin_2Ebool) (skS.0 5 a a_1 a_2))
% 128.13/128.30              (s (tyop_2Emin_2Efun (skS.0 4 a a_1) tyop_2Emin_2Ebool) (skS.0 6 a a_1 a_2 a_3)))))
% 128.13/128.30        True)
% 128.13/128.30      (Eq
% 128.13/128.30        (j_mono_2Etyop_2Emin_2Ebool
% 128.13/128.30          (s tyop_2Emin_2Ebool
% 128.13/128.30            (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun (skS.0 3 a) tyop_2Emin_2Ebool) (skS.0 5 a a_1 a_2))
% 128.13/128.30              (s (tyop_2Emin_2Efun (skS.0 4 a a_1) tyop_2Emin_2Ebool) (skS.0 6 a a_1 a_2 a_3)))))
% 128.13/128.30        True)
% 128.13/128.30  Clause #845 (by eliminate duplicate literals #[844]): ∀ (a a_1 : d) (a_2 a_3 : u),
% 128.13/128.30    Eq
% 128.13/128.30      (j_mono_2Etyop_2Emin_2Ebool
% 128.13/128.30        (s tyop_2Emin_2Ebool
% 128.13/128.30          (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun (skS.0 3 a) tyop_2Emin_2Ebool) (skS.0 5 a a_1 a_2))
% 128.13/128.30            (s (tyop_2Emin_2Efun (skS.0 4 a a_1) tyop_2Emin_2Ebool) (skS.0 6 a a_1 a_2 a_3)))))
% 128.13/128.30      True
% 128.13/128.30  Clause #17245 (by clausification #[842]): ∀ (a a_1 : d) (a_2 a_3 : u),
% 128.13/128.30    Or
% 128.13/128.30      (Eq
% 128.13/128.30        (Not
% 128.13/128.30          (j_mono_2Etyop_2Emin_2Ebool
% 128.13/128.30            (s tyop_2Emin_2Ebool
% 128.13/128.30              (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun (skS.0 3 a) tyop_2Emin_2Ebool) (skS.0 5 a a_1 a_2))
% 128.13/128.30                (s (tyop_2Emin_2Efun (skS.0 4 a a_1) tyop_2Emin_2Ebool) (skS.0 6 a a_1 a_2 a_3))))))
% 128.13/128.30        True)
% 128.13/128.30      (Eq
% 128.13/128.30        (j_mono_2Etyop_2Emin_2Ebool
% 128.13/128.30          (s tyop_2Emin_2Ebool
% 128.13/128.30            (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun (skS.0 3 a) tyop_2Emin_2Ebool) (skS.0 5 a a_1 a_2))
% 128.13/128.30              (s (tyop_2Emin_2Efun (skS.0 4 a a_1) tyop_2Emin_2Ebool) (skS.0 6 a a_1 a_2 a_3)))))
% 128.13/128.30        False)
% 128.13/128.30  Clause #17246 (by clausification #[17245]): ∀ (a a_1 : d) (a_2 a_3 : u),
% 128.13/128.30    Or
% 128.13/128.30      (Eq
% 128.13/128.30        (j_mono_2Etyop_2Emin_2Ebool
% 128.13/128.30          (s tyop_2Emin_2Ebool
% 128.13/128.30            (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun (skS.0 3 a) tyop_2Emin_2Ebool) (skS.0 5 a a_1 a_2))
% 128.13/128.30              (s (tyop_2Emin_2Efun (skS.0 4 a a_1) tyop_2Emin_2Ebool) (skS.0 6 a a_1 a_2 a_3)))))
% 128.13/128.30        False)
% 128.13/128.30      (Eq
% 128.13/128.30        (j_mono_2Etyop_2Emin_2Ebool
% 128.13/128.30          (s tyop_2Emin_2Ebool
% 128.13/128.30            (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun (skS.0 3 a) tyop_2Emin_2Ebool) (skS.0 5 a a_1 a_2))
% 128.13/128.30              (s (tyop_2Emin_2Efun (skS.0 4 a a_1) tyop_2Emin_2Ebool) (skS.0 6 a a_1 a_2 a_3)))))
% 128.13/128.30        False)
% 128.13/128.30  Clause #17247 (by eliminate duplicate literals #[17246]): ∀ (a a_1 : d) (a_2 a_3 : u),
% 128.13/128.30    Eq
% 128.13/128.30      (j_mono_2Etyop_2Emin_2Ebool
% 128.13/128.30        (s tyop_2Emin_2Ebool
% 128.13/128.30          (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun (skS.0 3 a) tyop_2Emin_2Ebool) (skS.0 5 a a_1 a_2))
% 128.13/128.30            (s (tyop_2Emin_2Efun (skS.0 4 a a_1) tyop_2Emin_2Ebool) (skS.0 6 a a_1 a_2 a_3)))))
% 128.13/128.30      False
% 128.13/128.30  Clause #17248 (by superposition #[17247, 845]): Eq False True
% 128.13/128.30  Clause #17279 (by clausification #[17248]): False
% 128.13/128.30  SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------