ConnectPP---0.7.2.THM-Prf.s

%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : ITP010+1 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 08:45:26 AM UTC 2026

% Result   : Theorem 0.21s 0.52s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(reserved_2Eho_2Eeq__ext,axiom,
    ! [A_27a,A_27b,V0f_2E0,V1g_2E0] :
      ( ! [V2x_2E0] : s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0f_2E0),s(A_27a,V2x_2E0))) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0),s(A_27a,V2x_2E0)))
     => s(tyop_2Emin_2Efun(A_27a,A_27b),V0f_2E0) = s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0) ),
    file('theBenchmark.p',reserved_2Eho_2Eeq__ext) ).

fof(reserved_2Eho_2Eboolext,axiom,
    ! [V0_2E0,V1_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,V0_2E0))
      <=> p(s(tyop_2Emin_2Ebool,V1_2E0)) )
     => s(tyop_2Emin_2Ebool,V0_2E0) = s(tyop_2Emin_2Ebool,V1_2E0) ),
    file('theBenchmark.p',reserved_2Eho_2Eboolext) ).

fof(reserved_2Eho_2Etruth,axiom,
    p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
    file('theBenchmark.p',reserved_2Eho_2Etruth) ).

fof(reserved_2Eho_2Enotfalse,axiom,
    ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
    file('theBenchmark.p',reserved_2Eho_2Enotfalse) ).

fof(reserved_2Eho_2Ebool__cases__ax,axiom,
    ! [V0t_2E0] :
      ( s(tyop_2Emin_2Ebool,V0t_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
      | s(tyop_2Emin_2Ebool,V0t_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
    file('theBenchmark.p',reserved_2Eho_2Ebool__cases__ax) ).

fof(reserved_2Eho_2Ei__thm,axiom,
    ! [A_27a,V0x_2E0] : s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27a),combin_i_2E0),s(A_27a,V0x_2E0))) = s(A_27a,V0x_2E0),
    file('theBenchmark.p',reserved_2Eho_2Ei__thm) ).

fof(reserved_2Eho_2Ek__thm,axiom,
    ! [A_27a,A_27b,V0x_2E0,V1y_2E0] : s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27a),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27a)),combin_k_2E0),s(A_27a,V0x_2E0))),s(A_27b,V1y_2E0))) = s(A_27a,V0x_2E0),
    file('theBenchmark.p',reserved_2Eho_2Ek__thm) ).

fof(reserved_2Eho_2Es__thm,axiom,
    ! [A_27a,A_27b,A_27c,V0f_2E0,V1g_2E0,V2x_2E0] : s(A_27c,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27c),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27c)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27c))),combin_s_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),V0f_2E0))),s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0))),s(A_27a,V2x_2E0))) = s(A_27c,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27c),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),V0f_2E0),s(A_27a,V2x_2E0))),s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0),s(A_27a,V2x_2E0))))),
    file('theBenchmark.p',reserved_2Eho_2Es__thm) ).

fof(reserved_2Elogic_2E_2F_5C,axiom,
    ! [V0_2E0,V1_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))
    <=> ( p(s(tyop_2Emin_2Ebool,V1_2E0))
        & p(s(tyop_2Emin_2Ebool,V0_2E0)) ) ),
    file('theBenchmark.p',reserved_2Elogic_2E_2F_5C) ).

fof(reserved_2Elogic_2E_5C_2F,axiom,
    ! [V0_2E0,V1_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))
    <=> ( p(s(tyop_2Emin_2Ebool,V1_2E0))
        | p(s(tyop_2Emin_2Ebool,V0_2E0)) ) ),
    file('theBenchmark.p',reserved_2Elogic_2E_5C_2F) ).

fof(reserved_2Elogic_2E_7E,axiom,
    ! [V0_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,V0_2E0))))
    <=> ~ p(s(tyop_2Emin_2Ebool,V0_2E0)) ),
    file('theBenchmark.p',reserved_2Elogic_2E_7E) ).

fof(reserved_2Elogic_2E_3D_3D_3E,axiom,
    ! [V0_2E0,V1_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))
    <=> ( p(s(tyop_2Emin_2Ebool,V0_2E0))
       => p(s(tyop_2Emin_2Ebool,V1_2E0)) ) ),
    file('theBenchmark.p',reserved_2Elogic_2E_3D_3D_3E) ).

fof(reserved_2Elogic_2E_3D,axiom,
    ! [A_27a,V0_2E0,V1_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(A_27a,V0_2E0),s(A_27a,V1_2E0))))
    <=> s(A_27a,V0_2E0) = s(A_27a,V1_2E0) ),
    file('theBenchmark.p',reserved_2Elogic_2E_3D) ).

fof(reserved_2Equant_2E_21,axiom,
    ! [A_27a,V0f_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0))))
    <=> ! [V1x_2E0] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0),s(A_27a,V1x_2E0)))) ),
    file('theBenchmark.p',reserved_2Equant_2E_21) ).

fof(reserved_2Equant_2E_3F,axiom,
    ! [A_27a,V0f_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0))))
    <=> ? [V1x_2E0] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0),s(A_27a,V1x_2E0)))) ),
    file('theBenchmark.p',reserved_2Equant_2E_3F) ).

fof(arityeq2_2Ec_2Ebool_2E_2F_5C_2E2,axiom,
    ! [X0_2E0,X1_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,X1_2E0))
        & p(s(tyop_2Emin_2Ebool,X0_2E0)) )
    <=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))) ),
    file('theBenchmark.p',arityeq2_2Ec_2Ebool_2E_2F_5C_2E2) ).

fof(arityeq2_2Ec_2Ebool_2E_5C_2F_2E2,axiom,
    ! [X0_2E0,X1_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,X1_2E0))
        | p(s(tyop_2Emin_2Ebool,X0_2E0)) )
    <=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))) ),
    file('theBenchmark.p',arityeq2_2Ec_2Ebool_2E_5C_2F_2E2) ).

fof(arityeq1_2Ec_2Ebool_2E_7E_2E1,axiom,
    ! [X0_2E0] :
      ( ~ p(s(tyop_2Emin_2Ebool,X0_2E0))
    <=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X0_2E0)))) ),
    file('theBenchmark.p',arityeq1_2Ec_2Ebool_2E_7E_2E1) ).

fof(arityeq2_2Ec_2Emin_2E_3D_3D_3E_2E2,axiom,
    ! [X0_2E0,X1_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,X0_2E0))
       => p(s(tyop_2Emin_2Ebool,X1_2E0)) )
    <=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))) ),
    file('theBenchmark.p',arityeq2_2Ec_2Emin_2E_3D_3D_3E_2E2) ).

fof(arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a,axiom,
    ! [A_27a,X0_2E0,X1_2E0] :
      ( s(A_27a,X0_2E0) = s(A_27a,X1_2E0)
    <=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(A_27a,X0_2E0))),s(A_27a,X1_2E0)))) ),
    file('theBenchmark.p',arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a) ).

fof(arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a,axiom,
    ! [A_27a,X0_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))),
    file('theBenchmark.p',arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a) ).

fof(arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a,axiom,
    ! [A_27a,X0_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))),
    file('theBenchmark.p',arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a) ).

fof(arityeq2_2Ec_2Ecardinal_2Ecardleq_2E2_2Emono_2EA_27a_20mono_2EA_27b,axiom,
    ! [A_27a,A_27b,X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ecardinal_2Ecardleq_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),X1_2E0))),
    file('theBenchmark.p',arityeq2_2Ec_2Ecardinal_2Ecardleq_2E2_2Emono_2EA_27a_20mono_2EA_27b) ).

fof(arityeq2_2Ec_2Ecardinal_2Ecardleq_2E2_2Emono_2EA_27b_20mono_2EA_27a,axiom,
    ! [A_27a,A_27b,X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ecardinal_2Ecardleq_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))),
    file('theBenchmark.p',arityeq2_2Ec_2Ecardinal_2Ecardleq_2E2_2Emono_2EA_27b_20mono_2EA_27a) ).

fof(thm_2Ebool_2ETRUTH,axiom,
    p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
    file('theBenchmark.p',thm_2Ebool_2ETRUTH) ).

fof(thm_2Ebool_2EFALSITY,axiom,
    ! [V0t_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
     => p(s(tyop_2Emin_2Ebool,V0t_2E0)) ),
    file('theBenchmark.p',thm_2Ebool_2EFALSITY) ).

fof(thm_2Ebool_2EFORALL__SIMP,axiom,
    ! [A_27a,V0t_2E0] :
      ( ! [V1x_2E0] : p(s(tyop_2Emin_2Ebool,V0t_2E0))
    <=> p(s(tyop_2Emin_2Ebool,V0t_2E0)) ),
    file('theBenchmark.p',thm_2Ebool_2EFORALL__SIMP) ).

fof(thm_2Ebool_2EIMP__CLAUSES,axiom,
    ! [V0t_2E0] :
      ( ( ( p(s(tyop_2Emin_2Ebool,V0t_2E0))
         => p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
      <=> ~ p(s(tyop_2Emin_2Ebool,V0t_2E0)) )
      & ( ( p(s(tyop_2Emin_2Ebool,V0t_2E0))
         => p(s(tyop_2Emin_2Ebool,V0t_2E0)) )
      <=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
      & ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
         => p(s(tyop_2Emin_2Ebool,V0t_2E0)) )
      <=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
      & ( ( p(s(tyop_2Emin_2Ebool,V0t_2E0))
         => p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
      <=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
      & ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
         => p(s(tyop_2Emin_2Ebool,V0t_2E0)) )
      <=> p(s(tyop_2Emin_2Ebool,V0t_2E0)) ) ),
    file('theBenchmark.p',thm_2Ebool_2EIMP__CLAUSES) ).

fof(thm_2Ebool_2ENOT__CLAUSES,axiom,
    ( ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
    <=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
    & ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
    <=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
    & ! [V0t_2E0] :
        ( ~ ~ p(s(tyop_2Emin_2Ebool,V0t_2E0))
      <=> p(s(tyop_2Emin_2Ebool,V0t_2E0)) ) ),
    file('theBenchmark.p',thm_2Ebool_2ENOT__CLAUSES) ).

fof(thm_2Ebool_2EREFL__CLAUSE,axiom,
    ! [A_27a,V0x_2E0] :
      ( s(A_27a,V0x_2E0) = s(A_27a,V0x_2E0)
    <=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
    file('theBenchmark.p',thm_2Ebool_2EREFL__CLAUSE) ).

fof(thm_2Ebool_2EEQ__CLAUSES,axiom,
    ! [V0t_2E0] :
      ( ( s(tyop_2Emin_2Ebool,V0t_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
      <=> ~ p(s(tyop_2Emin_2Ebool,V0t_2E0)) )
      & ( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,V0t_2E0)
      <=> ~ p(s(tyop_2Emin_2Ebool,V0t_2E0)) )
      & ( s(tyop_2Emin_2Ebool,V0t_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
      <=> p(s(tyop_2Emin_2Ebool,V0t_2E0)) )
      & ( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,V0t_2E0)
      <=> p(s(tyop_2Emin_2Ebool,V0t_2E0)) ) ),
    file('theBenchmark.p',thm_2Ebool_2EEQ__CLAUSES) ).

fof(thm_2Ecardinal_2ECARD__LE__TOTAL,axiom,
    ! [A_27a,A_27b,V0s_2E0,V1t_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V1t_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0))))
      | p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V1t_2E0)))) ),
    file('theBenchmark.p',thm_2Ecardinal_2ECARD__LE__TOTAL) ).

fof(thm_2Esat_2ENOT__NOT,axiom,
    ! [V0t_2E0] :
      ( ~ ~ p(s(tyop_2Emin_2Ebool,V0t_2E0))
    <=> p(s(tyop_2Emin_2Ebool,V0t_2E0)) ),
    file('theBenchmark.p',thm_2Esat_2ENOT__NOT) ).

fof(thm_2Esat_2EAND__INV__IMP,axiom,
    ! [V0A_2E0] :
      ( p(s(tyop_2Emin_2Ebool,V0A_2E0))
     => ( ~ p(s(tyop_2Emin_2Ebool,V0A_2E0))
       => p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ) ),
    file('theBenchmark.p',thm_2Esat_2EAND__INV__IMP) ).

fof(thm_2Esat_2EOR__DUAL2,axiom,
    ! [V0B_2E0,V1A_2E0] :
      ( ( ~ ( p(s(tyop_2Emin_2Ebool,V0B_2E0))
            | p(s(tyop_2Emin_2Ebool,V1A_2E0)) )
       => p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
    <=> ( ( p(s(tyop_2Emin_2Ebool,V1A_2E0))
         => p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
       => ( ~ p(s(tyop_2Emin_2Ebool,V0B_2E0))
         => p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ) ) ),
    file('theBenchmark.p',thm_2Esat_2EOR__DUAL2) ).

fof(thm_2Esat_2EOR__DUAL3,axiom,
    ! [V0B_2E0,V1A_2E0] :
      ( ( ~ ( p(s(tyop_2Emin_2Ebool,V0B_2E0))
            | ~ p(s(tyop_2Emin_2Ebool,V1A_2E0)) )
       => p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
    <=> ( p(s(tyop_2Emin_2Ebool,V1A_2E0))
       => ( ~ p(s(tyop_2Emin_2Ebool,V0B_2E0))
         => p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ) ) ),
    file('theBenchmark.p',thm_2Esat_2EOR__DUAL3) ).

fof(thm_2Esat_2EAND__INV2,axiom,
    ! [V0A_2E0] :
      ( ( ~ p(s(tyop_2Emin_2Ebool,V0A_2E0))
       => p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
     => ( ( p(s(tyop_2Emin_2Ebool,V0A_2E0))
         => p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
       => p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ) ),
    file('theBenchmark.p',thm_2Esat_2EAND__INV2) ).

fof(thm_2Esat_2Edc__eq,axiom,
    ! [V0r_2E0,V1q_2E0,V2p_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,V2p_2E0))
      <=> s(tyop_2Emin_2Ebool,V1q_2E0) = s(tyop_2Emin_2Ebool,V0r_2E0) )
    <=> ( ( ~ p(s(tyop_2Emin_2Ebool,V2p_2E0))
          | ~ p(s(tyop_2Emin_2Ebool,V1q_2E0))
          | p(s(tyop_2Emin_2Ebool,V0r_2E0)) )
        & ( ~ p(s(tyop_2Emin_2Ebool,V2p_2E0))
          | ~ p(s(tyop_2Emin_2Ebool,V0r_2E0))
          | p(s(tyop_2Emin_2Ebool,V1q_2E0)) )
        & ( ~ p(s(tyop_2Emin_2Ebool,V1q_2E0))
          | ~ p(s(tyop_2Emin_2Ebool,V0r_2E0))
          | p(s(tyop_2Emin_2Ebool,V2p_2E0)) )
        & ( p(s(tyop_2Emin_2Ebool,V0r_2E0))
          | p(s(tyop_2Emin_2Ebool,V1q_2E0))
          | p(s(tyop_2Emin_2Ebool,V2p_2E0)) ) ) ),
    file('theBenchmark.p',thm_2Esat_2Edc__eq) ).

fof(thm_2Esat_2Edc__neg,axiom,
    ! [V0q_2E0,V1p_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,V1p_2E0))
      <=> ~ p(s(tyop_2Emin_2Ebool,V0q_2E0)) )
    <=> ( ( ~ p(s(tyop_2Emin_2Ebool,V1p_2E0))
          | ~ p(s(tyop_2Emin_2Ebool,V0q_2E0)) )
        & ( p(s(tyop_2Emin_2Ebool,V0q_2E0))
          | p(s(tyop_2Emin_2Ebool,V1p_2E0)) ) ) ),
    file('theBenchmark.p',thm_2Esat_2Edc__neg) ).

fof(thm_2Ecardinal_2ECARD__NOT__LE,conjecture,
    ! [A_27a,A_27b,V0s_2E0,V1t_2E0] :
      ( ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V1t_2E0))))
    <=> ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V1t_2E0)))) ),
    file('theBenchmark.p',thm_2Ecardinal_2ECARD__NOT__LE) ).

fof(f_1_1,plain,
    ! [A_27a,A_27b,V0f_2E0,V1g_2E0] :
      ( s(tyop_2Emin_2Efun(A_27a,A_27b),V0f_2E0) = s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0)
      | ? [V2x_2E0] : s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0f_2E0),s(A_27a,V2x_2E0))) != s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0),s(A_27a,V2x_2E0))) ),
    inference(fof_nnf,[status(thm)],[reserved_2Eho_2Eeq__ext]) ).

fof(f_1_2,plain,
    ! [U_4,U_3,U_2,U_1] :
      ( s(tyop_2Emin_2Efun(U_4,U_3),U_2) = s(tyop_2Emin_2Efun(U_4,U_3),U_1)
      | ? [U_0] : s(U_3,app_2E2(s(tyop_2Emin_2Efun(U_4,U_3),U_2),s(U_4,U_0))) != s(U_3,app_2E2(s(tyop_2Emin_2Efun(U_4,U_3),U_1),s(U_4,U_0))) ),
    inference(variable_rename,[status(thm)],[f_1_1]) ).

fof(f_1_3,plain,
    ! [U_4,U_3,U_2,U_1] :
      ( s(tyop_2Emin_2Efun(U_4,U_3),U_2) = s(tyop_2Emin_2Efun(U_4,U_3),U_1)
      | s(U_3,app_2E2(s(tyop_2Emin_2Efun(U_4,U_3),U_2),s(U_4,sK1(U_4,U_3,U_2,U_1)))) != s(U_3,app_2E2(s(tyop_2Emin_2Efun(U_4,U_3),U_1),s(U_4,sK1(U_4,U_3,U_2,U_1)))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_0,sK1(U_4,U_3,U_2,U_1))],[f_1_2]) ).

cnf(f_1_4,plain,
    ( s(tyop_2Emin_2Efun(U_4,U_3),U_2) = s(tyop_2Emin_2Efun(U_4,U_3),U_1)
    | s(U_3,app_2E2(s(tyop_2Emin_2Efun(U_4,U_3),U_2),s(U_4,sK1(U_4,U_3,U_2,U_1)))) != s(U_3,app_2E2(s(tyop_2Emin_2Efun(U_4,U_3),U_1),s(U_4,sK1(U_4,U_3,U_2,U_1)))) ),
    inference(clausify,[status(thm)],[f_1_3]) ).

fof(f_2_1,plain,
    ! [V0_2E0,V1_2E0] :
      ( s(tyop_2Emin_2Ebool,V0_2E0) = s(tyop_2Emin_2Ebool,V1_2E0)
      | ( ~ p(s(tyop_2Emin_2Ebool,V0_2E0))
        & p(s(tyop_2Emin_2Ebool,V1_2E0)) )
      | ( ~ p(s(tyop_2Emin_2Ebool,V1_2E0))
        & p(s(tyop_2Emin_2Ebool,V0_2E0)) ) ),
    inference(fof_nnf,[status(thm)],[reserved_2Eho_2Eboolext]) ).

fof(f_2_2,plain,
    ! [U_6,U_5] :
      ( s(tyop_2Emin_2Ebool,U_6) = s(tyop_2Emin_2Ebool,U_5)
      | ( ~ p(s(tyop_2Emin_2Ebool,U_6))
        & p(s(tyop_2Emin_2Ebool,U_5)) )
      | ( ~ p(s(tyop_2Emin_2Ebool,U_5))
        & p(s(tyop_2Emin_2Ebool,U_6)) ) ),
    inference(variable_rename,[status(thm)],[f_2_1]) ).

cnf(f_2_3,plain,
    ( p(s(tyop_2Emin_2Ebool,U_5))
    | p(s(tyop_2Emin_2Ebool,U_6))
    | s(tyop_2Emin_2Ebool,U_6) = s(tyop_2Emin_2Ebool,U_5) ),
    inference(clausify,[status(thm)],[f_2_2]) ).

cnf(f_2_4,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_6))
    | p(s(tyop_2Emin_2Ebool,U_6))
    | s(tyop_2Emin_2Ebool,U_6) = s(tyop_2Emin_2Ebool,U_5) ),
    inference(clausify,[status(thm)],[f_2_2]) ).

cnf(f_2_5,plain,
    ( p(s(tyop_2Emin_2Ebool,U_5))
    | ~ p(s(tyop_2Emin_2Ebool,U_5))
    | s(tyop_2Emin_2Ebool,U_6) = s(tyop_2Emin_2Ebool,U_5) ),
    inference(clausify,[status(thm)],[f_2_2]) ).

cnf(f_2_6,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_6))
    | ~ p(s(tyop_2Emin_2Ebool,U_5))
    | s(tyop_2Emin_2Ebool,U_6) = s(tyop_2Emin_2Ebool,U_5) ),
    inference(clausify,[status(thm)],[f_2_2]) ).

fof(f_3_1,plain,
    p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
    inference(fof_nnf,[status(thm)],[reserved_2Eho_2Etruth]) ).

cnf(f_3_2,plain,
    p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
    inference(clausify,[status(thm)],[f_3_1]) ).

fof(f_4_1,plain,
    ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
    inference(fof_nnf,[status(thm)],[reserved_2Eho_2Enotfalse]) ).

cnf(f_4_2,plain,
    ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
    inference(clausify,[status(thm)],[f_4_1]) ).

fof(f_5_1,plain,
    ! [V0t_2E0] :
      ( s(tyop_2Emin_2Ebool,V0t_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
      | s(tyop_2Emin_2Ebool,V0t_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
    inference(fof_nnf,[status(thm)],[reserved_2Eho_2Ebool__cases__ax]) ).

fof(f_5_2,plain,
    ! [U_7] :
      ( s(tyop_2Emin_2Ebool,U_7) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
      | s(tyop_2Emin_2Ebool,U_7) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
    inference(variable_rename,[status(thm)],[f_5_1]) ).

cnf(f_5_3,plain,
    ( s(tyop_2Emin_2Ebool,U_7) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
    | s(tyop_2Emin_2Ebool,U_7) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
    inference(clausify,[status(thm)],[f_5_2]) ).

fof(f_6_1,plain,
    ! [A_27a,V0x_2E0] : s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27a),combin_i_2E0),s(A_27a,V0x_2E0))) = s(A_27a,V0x_2E0),
    inference(fof_nnf,[status(thm)],[reserved_2Eho_2Ei__thm]) ).

fof(f_6_2,plain,
    ! [U_9,U_8] : s(U_9,app_2E2(s(tyop_2Emin_2Efun(U_9,U_9),combin_i_2E0),s(U_9,U_8))) = s(U_9,U_8),
    inference(variable_rename,[status(thm)],[f_6_1]) ).

cnf(f_6_3,plain,
    s(U_9,app_2E2(s(tyop_2Emin_2Efun(U_9,U_9),combin_i_2E0),s(U_9,U_8))) = s(U_9,U_8),
    inference(clausify,[status(thm)],[f_6_2]) ).

fof(f_7_1,plain,
    ! [A_27a,A_27b,V0x_2E0,V1y_2E0] : s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27a),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27a)),combin_k_2E0),s(A_27a,V0x_2E0))),s(A_27b,V1y_2E0))) = s(A_27a,V0x_2E0),
    inference(fof_nnf,[status(thm)],[reserved_2Eho_2Ek__thm]) ).

fof(f_7_2,plain,
    ! [U_13,U_12,U_11,U_10] : s(U_13,app_2E2(s(tyop_2Emin_2Efun(U_12,U_13),app_2E2(s(tyop_2Emin_2Efun(U_13,tyop_2Emin_2Efun(U_12,U_13)),combin_k_2E0),s(U_13,U_11))),s(U_12,U_10))) = s(U_13,U_11),
    inference(variable_rename,[status(thm)],[f_7_1]) ).

cnf(f_7_3,plain,
    s(U_13,app_2E2(s(tyop_2Emin_2Efun(U_12,U_13),app_2E2(s(tyop_2Emin_2Efun(U_13,tyop_2Emin_2Efun(U_12,U_13)),combin_k_2E0),s(U_13,U_11))),s(U_12,U_10))) = s(U_13,U_11),
    inference(clausify,[status(thm)],[f_7_2]) ).

fof(f_8_1,plain,
    ! [A_27a,A_27b,A_27c,V0f_2E0,V1g_2E0,V2x_2E0] : s(A_27c,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27c),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27c)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27c))),combin_s_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),V0f_2E0))),s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0))),s(A_27a,V2x_2E0))) = s(A_27c,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27c),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),V0f_2E0),s(A_27a,V2x_2E0))),s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0),s(A_27a,V2x_2E0))))),
    inference(fof_nnf,[status(thm)],[reserved_2Eho_2Es__thm]) ).

fof(f_8_2,plain,
    ! [U_19,U_18,U_17,U_16,U_15,U_14] : s(U_17,app_2E2(s(tyop_2Emin_2Efun(U_19,U_17),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_19,U_18),tyop_2Emin_2Efun(U_19,U_17)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_19,tyop_2Emin_2Efun(U_18,U_17)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_19,U_18),tyop_2Emin_2Efun(U_19,U_17))),combin_s_2E0),s(tyop_2Emin_2Efun(U_19,tyop_2Emin_2Efun(U_18,U_17)),U_16))),s(tyop_2Emin_2Efun(U_19,U_18),U_15))),s(U_19,U_14))) = s(U_17,app_2E2(s(tyop_2Emin_2Efun(U_18,U_17),app_2E2(s(tyop_2Emin_2Efun(U_19,tyop_2Emin_2Efun(U_18,U_17)),U_16),s(U_19,U_14))),s(U_18,app_2E2(s(tyop_2Emin_2Efun(U_19,U_18),U_15),s(U_19,U_14))))),
    inference(variable_rename,[status(thm)],[f_8_1]) ).

cnf(f_8_3,plain,
    s(U_17,app_2E2(s(tyop_2Emin_2Efun(U_19,U_17),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_19,U_18),tyop_2Emin_2Efun(U_19,U_17)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_19,tyop_2Emin_2Efun(U_18,U_17)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_19,U_18),tyop_2Emin_2Efun(U_19,U_17))),combin_s_2E0),s(tyop_2Emin_2Efun(U_19,tyop_2Emin_2Efun(U_18,U_17)),U_16))),s(tyop_2Emin_2Efun(U_19,U_18),U_15))),s(U_19,U_14))) = s(U_17,app_2E2(s(tyop_2Emin_2Efun(U_18,U_17),app_2E2(s(tyop_2Emin_2Efun(U_19,tyop_2Emin_2Efun(U_18,U_17)),U_16),s(U_19,U_14))),s(U_18,app_2E2(s(tyop_2Emin_2Efun(U_19,U_18),U_15),s(U_19,U_14))))),
    inference(clausify,[status(thm)],[f_8_2]) ).

fof(f_9_1,plain,
    ! [V0_2E0,V1_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))
        | ~ p(s(tyop_2Emin_2Ebool,V1_2E0))
        | ~ p(s(tyop_2Emin_2Ebool,V0_2E0)) )
      & ( ( p(s(tyop_2Emin_2Ebool,V1_2E0))
          & p(s(tyop_2Emin_2Ebool,V0_2E0)) )
        | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0)))) ) ),
    inference(fof_nnf,[status(thm)],[reserved_2Elogic_2E_2F_5C]) ).

fof(f_9_2,plain,
    ! [U_21,U_20] :
      ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,U_21),s(tyop_2Emin_2Ebool,U_20))))
        | ~ p(s(tyop_2Emin_2Ebool,U_20))
        | ~ p(s(tyop_2Emin_2Ebool,U_21)) )
      & ( ( p(s(tyop_2Emin_2Ebool,U_20))
          & p(s(tyop_2Emin_2Ebool,U_21)) )
        | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,U_21),s(tyop_2Emin_2Ebool,U_20)))) ) ),
    inference(variable_rename,[status(thm)],[f_9_1]) ).

fof(f_9_3,plain,
    ( ! [U_25,U_23] :
        ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,U_25),s(tyop_2Emin_2Ebool,U_23))))
        | ~ p(s(tyop_2Emin_2Ebool,U_23))
        | ~ p(s(tyop_2Emin_2Ebool,U_25)) )
    & ! [U_24,U_22] :
        ( ( p(s(tyop_2Emin_2Ebool,U_22))
          & p(s(tyop_2Emin_2Ebool,U_24)) )
        | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,U_24),s(tyop_2Emin_2Ebool,U_22)))) ) ),
    inference(miniscope,[status(thm)],[f_9_2]) ).

cnf(f_9_4,plain,
    ( p(s(tyop_2Emin_2Ebool,U_24))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,U_24),s(tyop_2Emin_2Ebool,U_22)))) ),
    inference(clausify,[status(thm)],[f_9_3]) ).

cnf(f_9_5,plain,
    ( p(s(tyop_2Emin_2Ebool,U_22))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,U_24),s(tyop_2Emin_2Ebool,U_22)))) ),
    inference(clausify,[status(thm)],[f_9_3]) ).

cnf(f_9_6,plain,
    ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,U_25),s(tyop_2Emin_2Ebool,U_23))))
    | ~ p(s(tyop_2Emin_2Ebool,U_23))
    | ~ p(s(tyop_2Emin_2Ebool,U_25)) ),
    inference(clausify,[status(thm)],[f_9_3]) ).

fof(f_10_1,plain,
    ! [V0_2E0,V1_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))
        | ( ~ p(s(tyop_2Emin_2Ebool,V1_2E0))
          & ~ p(s(tyop_2Emin_2Ebool,V0_2E0)) ) )
      & ( p(s(tyop_2Emin_2Ebool,V1_2E0))
        | p(s(tyop_2Emin_2Ebool,V0_2E0))
        | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0)))) ) ),
    inference(fof_nnf,[status(thm)],[reserved_2Elogic_2E_5C_2F]) ).

fof(f_10_2,plain,
    ! [U_27,U_26] :
      ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,U_27),s(tyop_2Emin_2Ebool,U_26))))
        | ( ~ p(s(tyop_2Emin_2Ebool,U_26))
          & ~ p(s(tyop_2Emin_2Ebool,U_27)) ) )
      & ( p(s(tyop_2Emin_2Ebool,U_26))
        | p(s(tyop_2Emin_2Ebool,U_27))
        | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,U_27),s(tyop_2Emin_2Ebool,U_26)))) ) ),
    inference(variable_rename,[status(thm)],[f_10_1]) ).

fof(f_10_3,plain,
    ( ! [U_31,U_29] :
        ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,U_31),s(tyop_2Emin_2Ebool,U_29))))
        | ( ~ p(s(tyop_2Emin_2Ebool,U_29))
          & ~ p(s(tyop_2Emin_2Ebool,U_31)) ) )
    & ! [U_30,U_28] :
        ( p(s(tyop_2Emin_2Ebool,U_28))
        | p(s(tyop_2Emin_2Ebool,U_30))
        | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,U_30),s(tyop_2Emin_2Ebool,U_28)))) ) ),
    inference(miniscope,[status(thm)],[f_10_2]) ).

cnf(f_10_4,plain,
    ( p(s(tyop_2Emin_2Ebool,U_28))
    | p(s(tyop_2Emin_2Ebool,U_30))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,U_30),s(tyop_2Emin_2Ebool,U_28)))) ),
    inference(clausify,[status(thm)],[f_10_3]) ).

cnf(f_10_5,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_31))
    | p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,U_31),s(tyop_2Emin_2Ebool,U_29)))) ),
    inference(clausify,[status(thm)],[f_10_3]) ).

cnf(f_10_6,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_29))
    | p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,U_31),s(tyop_2Emin_2Ebool,U_29)))) ),
    inference(clausify,[status(thm)],[f_10_3]) ).

fof(f_11_1,plain,
    ! [V0_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,V0_2E0))))
        | p(s(tyop_2Emin_2Ebool,V0_2E0)) )
      & ( ~ p(s(tyop_2Emin_2Ebool,V0_2E0))
        | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,V0_2E0)))) ) ),
    inference(fof_nnf,[status(thm)],[reserved_2Elogic_2E_7E]) ).

fof(f_11_2,plain,
    ! [U_32] :
      ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,U_32))))
        | p(s(tyop_2Emin_2Ebool,U_32)) )
      & ( ~ p(s(tyop_2Emin_2Ebool,U_32))
        | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,U_32)))) ) ),
    inference(variable_rename,[status(thm)],[f_11_1]) ).

fof(f_11_3,plain,
    ( ! [U_34] :
        ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,U_34))))
        | p(s(tyop_2Emin_2Ebool,U_34)) )
    & ! [U_33] :
        ( ~ p(s(tyop_2Emin_2Ebool,U_33))
        | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,U_33)))) ) ),
    inference(miniscope,[status(thm)],[f_11_2]) ).

cnf(f_11_4,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_33))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,U_33)))) ),
    inference(clausify,[status(thm)],[f_11_3]) ).

cnf(f_11_5,plain,
    ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,U_34))))
    | p(s(tyop_2Emin_2Ebool,U_34)) ),
    inference(clausify,[status(thm)],[f_11_3]) ).

fof(f_12_1,plain,
    ! [V0_2E0,V1_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))
        | ( ~ p(s(tyop_2Emin_2Ebool,V1_2E0))
          & p(s(tyop_2Emin_2Ebool,V0_2E0)) ) )
      & ( p(s(tyop_2Emin_2Ebool,V1_2E0))
        | ~ p(s(tyop_2Emin_2Ebool,V0_2E0))
        | ~ p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0)))) ) ),
    inference(fof_nnf,[status(thm)],[reserved_2Elogic_2E_3D_3D_3E]) ).

fof(f_12_2,plain,
    ! [U_36,U_35] :
      ( ( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,U_36),s(tyop_2Emin_2Ebool,U_35))))
        | ( ~ p(s(tyop_2Emin_2Ebool,U_35))
          & p(s(tyop_2Emin_2Ebool,U_36)) ) )
      & ( p(s(tyop_2Emin_2Ebool,U_35))
        | ~ p(s(tyop_2Emin_2Ebool,U_36))
        | ~ p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,U_36),s(tyop_2Emin_2Ebool,U_35)))) ) ),
    inference(variable_rename,[status(thm)],[f_12_1]) ).

fof(f_12_3,plain,
    ( ! [U_40,U_38] :
        ( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,U_40),s(tyop_2Emin_2Ebool,U_38))))
        | ( ~ p(s(tyop_2Emin_2Ebool,U_38))
          & p(s(tyop_2Emin_2Ebool,U_40)) ) )
    & ! [U_39,U_37] :
        ( p(s(tyop_2Emin_2Ebool,U_37))
        | ~ p(s(tyop_2Emin_2Ebool,U_39))
        | ~ p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,U_39),s(tyop_2Emin_2Ebool,U_37)))) ) ),
    inference(miniscope,[status(thm)],[f_12_2]) ).

cnf(f_12_4,plain,
    ( p(s(tyop_2Emin_2Ebool,U_37))
    | ~ p(s(tyop_2Emin_2Ebool,U_39))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,U_39),s(tyop_2Emin_2Ebool,U_37)))) ),
    inference(clausify,[status(thm)],[f_12_3]) ).

cnf(f_12_5,plain,
    ( p(s(tyop_2Emin_2Ebool,U_40))
    | p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,U_40),s(tyop_2Emin_2Ebool,U_38)))) ),
    inference(clausify,[status(thm)],[f_12_3]) ).

cnf(f_12_6,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_38))
    | p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,U_40),s(tyop_2Emin_2Ebool,U_38)))) ),
    inference(clausify,[status(thm)],[f_12_3]) ).

fof(f_13_1,plain,
    ! [A_27a,V0_2E0,V1_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(A_27a,V0_2E0),s(A_27a,V1_2E0))))
        | s(A_27a,V0_2E0) != s(A_27a,V1_2E0) )
      & ( s(A_27a,V0_2E0) = s(A_27a,V1_2E0)
        | ~ p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(A_27a,V0_2E0),s(A_27a,V1_2E0)))) ) ),
    inference(fof_nnf,[status(thm)],[reserved_2Elogic_2E_3D]) ).

fof(f_13_2,plain,
    ! [U_43,U_42,U_41] :
      ( ( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(U_43,U_42),s(U_43,U_41))))
        | s(U_43,U_42) != s(U_43,U_41) )
      & ( s(U_43,U_42) = s(U_43,U_41)
        | ~ p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(U_43,U_42),s(U_43,U_41)))) ) ),
    inference(variable_rename,[status(thm)],[f_13_1]) ).

fof(f_13_3,plain,
    ( ! [U_49,U_47,U_45] :
        ( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(U_49,U_47),s(U_49,U_45))))
        | s(U_49,U_47) != s(U_49,U_45) )
    & ! [U_48,U_46,U_44] :
        ( s(U_48,U_46) = s(U_48,U_44)
        | ~ p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(U_48,U_46),s(U_48,U_44)))) ) ),
    inference(miniscope,[status(thm)],[f_13_2]) ).

cnf(f_13_4,plain,
    ( s(U_48,U_46) = s(U_48,U_44)
    | ~ p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(U_48,U_46),s(U_48,U_44)))) ),
    inference(clausify,[status(thm)],[f_13_3]) ).

cnf(f_13_5,plain,
    ( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(U_49,U_47),s(U_49,U_45))))
    | s(U_49,U_47) != s(U_49,U_45) ),
    inference(clausify,[status(thm)],[f_13_3]) ).

fof(f_14_1,plain,
    ! [A_27a,V0f_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0))))
        | ? [V1x_2E0] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0),s(A_27a,V1x_2E0)))) )
      & ( ! [V1x_2E0] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0),s(A_27a,V1x_2E0))))
        | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0)))) ) ),
    inference(fof_nnf,[status(thm)],[reserved_2Equant_2E_21]) ).

fof(f_14_2,plain,
    ! [U_53,U_52] :
      ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(U_53,tyop_2Emin_2Ebool),U_52))))
        | ? [U_51] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_53,tyop_2Emin_2Ebool),U_52),s(U_53,U_51)))) )
      & ( ! [U_50] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_53,tyop_2Emin_2Ebool),U_52),s(U_53,U_50))))
        | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(U_53,tyop_2Emin_2Ebool),U_52)))) ) ),
    inference(variable_rename,[status(thm)],[f_14_1]) ).

fof(f_14_3,plain,
    ( ! [U_57,U_55] :
        ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(U_57,tyop_2Emin_2Ebool),U_55))))
        | ? [U_51] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_57,tyop_2Emin_2Ebool),U_55),s(U_57,U_51)))) )
    & ! [U_56,U_54] :
        ( ! [U_50] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_56,tyop_2Emin_2Ebool),U_54),s(U_56,U_50))))
        | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(U_56,tyop_2Emin_2Ebool),U_54)))) ) ),
    inference(miniscope,[status(thm)],[f_14_2]) ).

fof(f_14_4,plain,
    ( ! [U_57,U_55] :
        ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(U_57,tyop_2Emin_2Ebool),U_55))))
        | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_57,tyop_2Emin_2Ebool),U_55),s(U_57,sK2(U_57,U_55))))) )
    & ! [U_56,U_54] :
        ( ! [U_50] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_56,tyop_2Emin_2Ebool),U_54),s(U_56,U_50))))
        | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(U_56,tyop_2Emin_2Ebool),U_54)))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_51,sK2(U_57,U_55))],[f_14_3]) ).

cnf(f_14_5,plain,
    ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_56,tyop_2Emin_2Ebool),U_54),s(U_56,U_50))))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(U_56,tyop_2Emin_2Ebool),U_54)))) ),
    inference(clausify,[status(thm)],[f_14_4]) ).

cnf(f_14_6,plain,
    ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(U_57,tyop_2Emin_2Ebool),U_55))))
    | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_57,tyop_2Emin_2Ebool),U_55),s(U_57,sK2(U_57,U_55))))) ),
    inference(clausify,[status(thm)],[f_14_4]) ).

fof(f_15_1,plain,
    ! [A_27a,V0f_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0))))
        | ! [V1x_2E0] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0),s(A_27a,V1x_2E0)))) )
      & ( ? [V1x_2E0] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0),s(A_27a,V1x_2E0))))
        | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0)))) ) ),
    inference(fof_nnf,[status(thm)],[reserved_2Equant_2E_3F]) ).

fof(f_15_2,plain,
    ! [U_61,U_60] :
      ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(U_61,tyop_2Emin_2Ebool),U_60))))
        | ! [U_59] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_61,tyop_2Emin_2Ebool),U_60),s(U_61,U_59)))) )
      & ( ? [U_58] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_61,tyop_2Emin_2Ebool),U_60),s(U_61,U_58))))
        | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(U_61,tyop_2Emin_2Ebool),U_60)))) ) ),
    inference(variable_rename,[status(thm)],[f_15_1]) ).

fof(f_15_3,plain,
    ( ! [U_65,U_63] :
        ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(U_65,tyop_2Emin_2Ebool),U_63))))
        | ! [U_59] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_65,tyop_2Emin_2Ebool),U_63),s(U_65,U_59)))) )
    & ! [U_64,U_62] :
        ( ? [U_58] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_64,tyop_2Emin_2Ebool),U_62),s(U_64,U_58))))
        | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(U_64,tyop_2Emin_2Ebool),U_62)))) ) ),
    inference(miniscope,[status(thm)],[f_15_2]) ).

fof(f_15_4,plain,
    ( ! [U_65,U_63] :
        ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(U_65,tyop_2Emin_2Ebool),U_63))))
        | ! [U_59] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_65,tyop_2Emin_2Ebool),U_63),s(U_65,U_59)))) )
    & ! [U_64,U_62] :
        ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_64,tyop_2Emin_2Ebool),U_62),s(U_64,sK3(U_64,U_62)))))
        | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(U_64,tyop_2Emin_2Ebool),U_62)))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_58,sK3(U_64,U_62))],[f_15_3]) ).

cnf(f_15_5,plain,
    ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_64,tyop_2Emin_2Ebool),U_62),s(U_64,sK3(U_64,U_62)))))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(U_64,tyop_2Emin_2Ebool),U_62)))) ),
    inference(clausify,[status(thm)],[f_15_4]) ).

cnf(f_15_6,plain,
    ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(U_65,tyop_2Emin_2Ebool),U_63))))
    | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_65,tyop_2Emin_2Ebool),U_63),s(U_65,U_59)))) ),
    inference(clausify,[status(thm)],[f_15_4]) ).

fof(f_16_1,plain,
    ! [X0_2E0,X1_2E0] :
      ( ( ( p(s(tyop_2Emin_2Ebool,X1_2E0))
          & p(s(tyop_2Emin_2Ebool,X0_2E0)) )
        | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))) )
      & ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0))))
        | ~ p(s(tyop_2Emin_2Ebool,X1_2E0))
        | ~ p(s(tyop_2Emin_2Ebool,X0_2E0)) ) ),
    inference(fof_nnf,[status(thm)],[arityeq2_2Ec_2Ebool_2E_2F_5C_2E2]) ).

fof(f_16_2,plain,
    ! [U_67,U_66] :
      ( ( ( p(s(tyop_2Emin_2Ebool,U_66))
          & p(s(tyop_2Emin_2Ebool,U_67)) )
        | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,U_67))),s(tyop_2Emin_2Ebool,U_66)))) )
      & ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,U_67))),s(tyop_2Emin_2Ebool,U_66))))
        | ~ p(s(tyop_2Emin_2Ebool,U_66))
        | ~ p(s(tyop_2Emin_2Ebool,U_67)) ) ),
    inference(variable_rename,[status(thm)],[f_16_1]) ).

fof(f_16_3,plain,
    ( ! [U_71,U_69] :
        ( ( p(s(tyop_2Emin_2Ebool,U_69))
          & p(s(tyop_2Emin_2Ebool,U_71)) )
        | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,U_71))),s(tyop_2Emin_2Ebool,U_69)))) )
    & ! [U_70,U_68] :
        ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,U_70))),s(tyop_2Emin_2Ebool,U_68))))
        | ~ p(s(tyop_2Emin_2Ebool,U_68))
        | ~ p(s(tyop_2Emin_2Ebool,U_70)) ) ),
    inference(miniscope,[status(thm)],[f_16_2]) ).

cnf(f_16_4,plain,
    ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,U_70))),s(tyop_2Emin_2Ebool,U_68))))
    | ~ p(s(tyop_2Emin_2Ebool,U_68))
    | ~ p(s(tyop_2Emin_2Ebool,U_70)) ),
    inference(clausify,[status(thm)],[f_16_3]) ).

cnf(f_16_5,plain,
    ( p(s(tyop_2Emin_2Ebool,U_71))
    | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,U_71))),s(tyop_2Emin_2Ebool,U_69)))) ),
    inference(clausify,[status(thm)],[f_16_3]) ).

cnf(f_16_6,plain,
    ( p(s(tyop_2Emin_2Ebool,U_69))
    | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,U_71))),s(tyop_2Emin_2Ebool,U_69)))) ),
    inference(clausify,[status(thm)],[f_16_3]) ).

fof(f_17_1,plain,
    ! [X0_2E0,X1_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,X1_2E0))
        | p(s(tyop_2Emin_2Ebool,X0_2E0))
        | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))) )
      & ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0))))
        | ( ~ p(s(tyop_2Emin_2Ebool,X1_2E0))
          & ~ p(s(tyop_2Emin_2Ebool,X0_2E0)) ) ) ),
    inference(fof_nnf,[status(thm)],[arityeq2_2Ec_2Ebool_2E_5C_2F_2E2]) ).

fof(f_17_2,plain,
    ! [U_73,U_72] :
      ( ( p(s(tyop_2Emin_2Ebool,U_72))
        | p(s(tyop_2Emin_2Ebool,U_73))
        | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,U_73))),s(tyop_2Emin_2Ebool,U_72)))) )
      & ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,U_73))),s(tyop_2Emin_2Ebool,U_72))))
        | ( ~ p(s(tyop_2Emin_2Ebool,U_72))
          & ~ p(s(tyop_2Emin_2Ebool,U_73)) ) ) ),
    inference(variable_rename,[status(thm)],[f_17_1]) ).

fof(f_17_3,plain,
    ( ! [U_77,U_75] :
        ( p(s(tyop_2Emin_2Ebool,U_75))
        | p(s(tyop_2Emin_2Ebool,U_77))
        | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,U_77))),s(tyop_2Emin_2Ebool,U_75)))) )
    & ! [U_76,U_74] :
        ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,U_76))),s(tyop_2Emin_2Ebool,U_74))))
        | ( ~ p(s(tyop_2Emin_2Ebool,U_74))
          & ~ p(s(tyop_2Emin_2Ebool,U_76)) ) ) ),
    inference(miniscope,[status(thm)],[f_17_2]) ).

cnf(f_17_4,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_76))
    | p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,U_76))),s(tyop_2Emin_2Ebool,U_74)))) ),
    inference(clausify,[status(thm)],[f_17_3]) ).

cnf(f_17_5,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_74))
    | p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,U_76))),s(tyop_2Emin_2Ebool,U_74)))) ),
    inference(clausify,[status(thm)],[f_17_3]) ).

cnf(f_17_6,plain,
    ( p(s(tyop_2Emin_2Ebool,U_75))
    | p(s(tyop_2Emin_2Ebool,U_77))
    | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,U_77))),s(tyop_2Emin_2Ebool,U_75)))) ),
    inference(clausify,[status(thm)],[f_17_3]) ).

fof(f_18_1,plain,
    ! [X0_2E0] :
      ( ( ~ p(s(tyop_2Emin_2Ebool,X0_2E0))
        | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X0_2E0)))) )
      & ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X0_2E0))))
        | p(s(tyop_2Emin_2Ebool,X0_2E0)) ) ),
    inference(fof_nnf,[status(thm)],[arityeq1_2Ec_2Ebool_2E_7E_2E1]) ).

fof(f_18_2,plain,
    ! [U_78] :
      ( ( ~ p(s(tyop_2Emin_2Ebool,U_78))
        | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,U_78)))) )
      & ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,U_78))))
        | p(s(tyop_2Emin_2Ebool,U_78)) ) ),
    inference(variable_rename,[status(thm)],[f_18_1]) ).

fof(f_18_3,plain,
    ( ! [U_80] :
        ( ~ p(s(tyop_2Emin_2Ebool,U_80))
        | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,U_80)))) )
    & ! [U_79] :
        ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,U_79))))
        | p(s(tyop_2Emin_2Ebool,U_79)) ) ),
    inference(miniscope,[status(thm)],[f_18_2]) ).

cnf(f_18_4,plain,
    ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,U_79))))
    | p(s(tyop_2Emin_2Ebool,U_79)) ),
    inference(clausify,[status(thm)],[f_18_3]) ).

cnf(f_18_5,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_80))
    | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,U_80)))) ),
    inference(clausify,[status(thm)],[f_18_3]) ).

fof(f_19_1,plain,
    ! [X0_2E0,X1_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,X1_2E0))
        | ~ p(s(tyop_2Emin_2Ebool,X0_2E0))
        | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))) )
      & ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0))))
        | ( ~ p(s(tyop_2Emin_2Ebool,X1_2E0))
          & p(s(tyop_2Emin_2Ebool,X0_2E0)) ) ) ),
    inference(fof_nnf,[status(thm)],[arityeq2_2Ec_2Emin_2E_3D_3D_3E_2E2]) ).

fof(f_19_2,plain,
    ! [U_82,U_81] :
      ( ( p(s(tyop_2Emin_2Ebool,U_81))
        | ~ p(s(tyop_2Emin_2Ebool,U_82))
        | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,U_82))),s(tyop_2Emin_2Ebool,U_81)))) )
      & ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,U_82))),s(tyop_2Emin_2Ebool,U_81))))
        | ( ~ p(s(tyop_2Emin_2Ebool,U_81))
          & p(s(tyop_2Emin_2Ebool,U_82)) ) ) ),
    inference(variable_rename,[status(thm)],[f_19_1]) ).

fof(f_19_3,plain,
    ( ! [U_86,U_84] :
        ( p(s(tyop_2Emin_2Ebool,U_84))
        | ~ p(s(tyop_2Emin_2Ebool,U_86))
        | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,U_86))),s(tyop_2Emin_2Ebool,U_84)))) )
    & ! [U_85,U_83] :
        ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,U_85))),s(tyop_2Emin_2Ebool,U_83))))
        | ( ~ p(s(tyop_2Emin_2Ebool,U_83))
          & p(s(tyop_2Emin_2Ebool,U_85)) ) ) ),
    inference(miniscope,[status(thm)],[f_19_2]) ).

cnf(f_19_4,plain,
    ( p(s(tyop_2Emin_2Ebool,U_85))
    | p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,U_85))),s(tyop_2Emin_2Ebool,U_83)))) ),
    inference(clausify,[status(thm)],[f_19_3]) ).

cnf(f_19_5,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_83))
    | p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,U_85))),s(tyop_2Emin_2Ebool,U_83)))) ),
    inference(clausify,[status(thm)],[f_19_3]) ).

cnf(f_19_6,plain,
    ( p(s(tyop_2Emin_2Ebool,U_84))
    | ~ p(s(tyop_2Emin_2Ebool,U_86))
    | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,U_86))),s(tyop_2Emin_2Ebool,U_84)))) ),
    inference(clausify,[status(thm)],[f_19_3]) ).

fof(f_20_1,plain,
    ! [A_27a,X0_2E0,X1_2E0] :
      ( ( s(A_27a,X0_2E0) = s(A_27a,X1_2E0)
        | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(A_27a,X0_2E0))),s(A_27a,X1_2E0)))) )
      & ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(A_27a,X0_2E0))),s(A_27a,X1_2E0))))
        | s(A_27a,X0_2E0) != s(A_27a,X1_2E0) ) ),
    inference(fof_nnf,[status(thm)],[arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a]) ).

fof(f_20_2,plain,
    ! [U_89,U_88,U_87] :
      ( ( s(U_89,U_88) = s(U_89,U_87)
        | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_89,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_89,tyop_2Emin_2Efun(U_89,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(U_89,U_88))),s(U_89,U_87)))) )
      & ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_89,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_89,tyop_2Emin_2Efun(U_89,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(U_89,U_88))),s(U_89,U_87))))
        | s(U_89,U_88) != s(U_89,U_87) ) ),
    inference(variable_rename,[status(thm)],[f_20_1]) ).

fof(f_20_3,plain,
    ( ! [U_95,U_93,U_91] :
        ( s(U_95,U_93) = s(U_95,U_91)
        | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_95,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_95,tyop_2Emin_2Efun(U_95,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(U_95,U_93))),s(U_95,U_91)))) )
    & ! [U_94,U_92,U_90] :
        ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_94,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_94,tyop_2Emin_2Efun(U_94,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(U_94,U_92))),s(U_94,U_90))))
        | s(U_94,U_92) != s(U_94,U_90) ) ),
    inference(miniscope,[status(thm)],[f_20_2]) ).

cnf(f_20_4,plain,
    ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_94,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_94,tyop_2Emin_2Efun(U_94,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(U_94,U_92))),s(U_94,U_90))))
    | s(U_94,U_92) != s(U_94,U_90) ),
    inference(clausify,[status(thm)],[f_20_3]) ).

cnf(f_20_5,plain,
    ( s(U_95,U_93) = s(U_95,U_91)
    | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_95,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_95,tyop_2Emin_2Efun(U_95,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(U_95,U_93))),s(U_95,U_91)))) ),
    inference(clausify,[status(thm)],[f_20_3]) ).

fof(f_21_1,plain,
    ! [A_27a,X0_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))),
    inference(fof_nnf,[status(thm)],[arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a]) ).

fof(f_21_2,plain,
    ! [U_97,U_96] : s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(U_97,tyop_2Emin_2Ebool),U_96))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_97,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(U_97,tyop_2Emin_2Ebool),U_96))),
    inference(variable_rename,[status(thm)],[f_21_1]) ).

cnf(f_21_3,plain,
    s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(U_97,tyop_2Emin_2Ebool),U_96))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_97,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(U_97,tyop_2Emin_2Ebool),U_96))),
    inference(clausify,[status(thm)],[f_21_2]) ).

fof(f_22_1,plain,
    ! [A_27a,X0_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))),
    inference(fof_nnf,[status(thm)],[arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a]) ).

fof(f_22_2,plain,
    ! [U_99,U_98] : s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(U_99,tyop_2Emin_2Ebool),U_98))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_99,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(U_99,tyop_2Emin_2Ebool),U_98))),
    inference(variable_rename,[status(thm)],[f_22_1]) ).

cnf(f_22_3,plain,
    s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(U_99,tyop_2Emin_2Ebool),U_98))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_99,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(U_99,tyop_2Emin_2Ebool),U_98))),
    inference(clausify,[status(thm)],[f_22_2]) ).

fof(f_23_1,plain,
    ! [A_27a,A_27b,X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ecardinal_2Ecardleq_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),X1_2E0))),
    inference(fof_nnf,[status(thm)],[arityeq2_2Ec_2Ecardinal_2Ecardleq_2E2_2Emono_2EA_27a_20mono_2EA_27b]) ).

fof(f_23_2,plain,
    ! [U_103,U_102,U_101,U_100] : s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(U_103,tyop_2Emin_2Ebool),U_101),s(tyop_2Emin_2Efun(U_102,tyop_2Emin_2Ebool),U_100))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_102,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_103,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_102,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ecardinal_2Ecardleq_2E0),s(tyop_2Emin_2Efun(U_103,tyop_2Emin_2Ebool),U_101))),s(tyop_2Emin_2Efun(U_102,tyop_2Emin_2Ebool),U_100))),
    inference(variable_rename,[status(thm)],[f_23_1]) ).

cnf(f_23_3,plain,
    s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(U_103,tyop_2Emin_2Ebool),U_101),s(tyop_2Emin_2Efun(U_102,tyop_2Emin_2Ebool),U_100))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_102,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_103,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_102,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ecardinal_2Ecardleq_2E0),s(tyop_2Emin_2Efun(U_103,tyop_2Emin_2Ebool),U_101))),s(tyop_2Emin_2Efun(U_102,tyop_2Emin_2Ebool),U_100))),
    inference(clausify,[status(thm)],[f_23_2]) ).

fof(f_24_1,plain,
    ! [A_27a,A_27b,X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ecardinal_2Ecardleq_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))),
    inference(fof_nnf,[status(thm)],[arityeq2_2Ec_2Ecardinal_2Ecardleq_2E2_2Emono_2EA_27b_20mono_2EA_27a]) ).

fof(f_24_2,plain,
    ! [U_107,U_106,U_105,U_104] : s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(U_106,tyop_2Emin_2Ebool),U_105),s(tyop_2Emin_2Efun(U_107,tyop_2Emin_2Ebool),U_104))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_107,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_106,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_107,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ecardinal_2Ecardleq_2E0),s(tyop_2Emin_2Efun(U_106,tyop_2Emin_2Ebool),U_105))),s(tyop_2Emin_2Efun(U_107,tyop_2Emin_2Ebool),U_104))),
    inference(variable_rename,[status(thm)],[f_24_1]) ).

cnf(f_24_3,plain,
    s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(U_106,tyop_2Emin_2Ebool),U_105),s(tyop_2Emin_2Efun(U_107,tyop_2Emin_2Ebool),U_104))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_107,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_106,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_107,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ecardinal_2Ecardleq_2E0),s(tyop_2Emin_2Efun(U_106,tyop_2Emin_2Ebool),U_105))),s(tyop_2Emin_2Efun(U_107,tyop_2Emin_2Ebool),U_104))),
    inference(clausify,[status(thm)],[f_24_2]) ).

fof(f_25_1,plain,
    p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
    inference(fof_nnf,[status(thm)],[thm_2Ebool_2ETRUTH]) ).

cnf(f_25_2,plain,
    p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
    inference(clausify,[status(thm)],[f_25_1]) ).

fof(f_26_1,plain,
    ! [V0t_2E0] :
      ( p(s(tyop_2Emin_2Ebool,V0t_2E0))
      | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
    inference(fof_nnf,[status(thm)],[thm_2Ebool_2EFALSITY]) ).

fof(f_26_2,plain,
    ! [U_108] :
      ( p(s(tyop_2Emin_2Ebool,U_108))
      | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
    inference(variable_rename,[status(thm)],[f_26_1]) ).

fof(f_26_3,plain,
    ( ! [U_108] : p(s(tyop_2Emin_2Ebool,U_108))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
    inference(miniscope,[status(thm)],[f_26_2]) ).

cnf(f_26_4,plain,
    ( p(s(tyop_2Emin_2Ebool,U_108))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
    inference(clausify,[status(thm)],[f_26_3]) ).

fof(f_27_1,plain,
    ! [A_27a,V0t_2E0] :
      ( ( ! [V1x_2E0] : p(s(tyop_2Emin_2Ebool,V0t_2E0))
        | ~ p(s(tyop_2Emin_2Ebool,V0t_2E0)) )
      & ( p(s(tyop_2Emin_2Ebool,V0t_2E0))
        | ? [V1x_2E0] : ~ p(s(tyop_2Emin_2Ebool,V0t_2E0)) ) ),
    inference(fof_nnf,[status(thm)],[thm_2Ebool_2EFORALL__SIMP]) ).

fof(f_27_2,plain,
    ! [U_112,U_111] :
      ( ( ! [U_110] : p(s(tyop_2Emin_2Ebool,U_111))
        | ~ p(s(tyop_2Emin_2Ebool,U_111)) )
      & ( p(s(tyop_2Emin_2Ebool,U_111))
        | ? [U_109] : ~ p(s(tyop_2Emin_2Ebool,U_111)) ) ),
    inference(variable_rename,[status(thm)],[f_27_1]) ).

fof(f_27_3,plain,
    ( ! [U_114] :
        ( p(s(tyop_2Emin_2Ebool,U_114))
        | ~ p(s(tyop_2Emin_2Ebool,U_114)) )
    & ! [U_113] :
        ( p(s(tyop_2Emin_2Ebool,U_113))
        | ~ p(s(tyop_2Emin_2Ebool,U_113)) ) ),
    inference(miniscope,[status(thm)],[f_27_2]) ).

cnf(f_27_4,plain,
    ( p(s(tyop_2Emin_2Ebool,U_113))
    | ~ p(s(tyop_2Emin_2Ebool,U_113)) ),
    inference(clausify,[status(thm)],[f_27_3]) ).

cnf(f_27_5,plain,
    ( p(s(tyop_2Emin_2Ebool,U_114))
    | ~ p(s(tyop_2Emin_2Ebool,U_114)) ),
    inference(clausify,[status(thm)],[f_27_3]) ).

fof(f_28_1,plain,
    ! [V0t_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
        | ~ p(s(tyop_2Emin_2Ebool,V0t_2E0))
        | p(s(tyop_2Emin_2Ebool,V0t_2E0)) )
      & ( ~ p(s(tyop_2Emin_2Ebool,V0t_2E0))
        | ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
          & p(s(tyop_2Emin_2Ebool,V0t_2E0)) ) )
      & ( p(s(tyop_2Emin_2Ebool,V0t_2E0))
        | ~ p(s(tyop_2Emin_2Ebool,V0t_2E0))
        | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
      & ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
        | ( ~ p(s(tyop_2Emin_2Ebool,V0t_2E0))
          & p(s(tyop_2Emin_2Ebool,V0t_2E0)) ) )
      & ( p(s(tyop_2Emin_2Ebool,V0t_2E0))
        | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
        | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
      & ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
        | ( ~ p(s(tyop_2Emin_2Ebool,V0t_2E0))
          & p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ) )
      & ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
        | ~ p(s(tyop_2Emin_2Ebool,V0t_2E0))
        | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
      & ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
        | ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
          & p(s(tyop_2Emin_2Ebool,V0t_2E0)) ) )
      & ( p(s(tyop_2Emin_2Ebool,V0t_2E0))
        | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
        | ~ p(s(tyop_2Emin_2Ebool,V0t_2E0)) )
      & ( p(s(tyop_2Emin_2Ebool,V0t_2E0))
        | ( ~ p(s(tyop_2Emin_2Ebool,V0t_2E0))
          & p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ) ) ),
    inference(fof_nnf,[status(thm)],[thm_2Ebool_2EIMP__CLAUSES]) ).

fof(f_28_2,plain,
    ! [U_115] :
      ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
        | ~ p(s(tyop_2Emin_2Ebool,U_115))
        | p(s(tyop_2Emin_2Ebool,U_115)) )
      & ( ~ p(s(tyop_2Emin_2Ebool,U_115))
        | ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
          & p(s(tyop_2Emin_2Ebool,U_115)) ) )
      & ( p(s(tyop_2Emin_2Ebool,U_115))
        | ~ p(s(tyop_2Emin_2Ebool,U_115))
        | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
      & ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
        | ( ~ p(s(tyop_2Emin_2Ebool,U_115))
          & p(s(tyop_2Emin_2Ebool,U_115)) ) )
      & ( p(s(tyop_2Emin_2Ebool,U_115))
        | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
        | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
      & ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
        | ( ~ p(s(tyop_2Emin_2Ebool,U_115))
          & p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ) )
      & ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
        | ~ p(s(tyop_2Emin_2Ebool,U_115))
        | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
      & ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
        | ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
          & p(s(tyop_2Emin_2Ebool,U_115)) ) )
      & ( p(s(tyop_2Emin_2Ebool,U_115))
        | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
        | ~ p(s(tyop_2Emin_2Ebool,U_115)) )
      & ( p(s(tyop_2Emin_2Ebool,U_115))
        | ( ~ p(s(tyop_2Emin_2Ebool,U_115))
          & p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ) ) ),
    inference(variable_rename,[status(thm)],[f_28_1]) ).

fof(f_28_3,plain,
    ( ! [U_132] :
        ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
        | ~ p(s(tyop_2Emin_2Ebool,U_132))
        | p(s(tyop_2Emin_2Ebool,U_132)) )
    & ! [U_131] :
        ( ~ p(s(tyop_2Emin_2Ebool,U_131))
        | ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
          & p(s(tyop_2Emin_2Ebool,U_131)) ) )
    & ( ! [U_128] :
          ( p(s(tyop_2Emin_2Ebool,U_128))
          | ~ p(s(tyop_2Emin_2Ebool,U_128)) )
      | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
    & ( ( ! [U_130] : ~ p(s(tyop_2Emin_2Ebool,U_130))
        & ! [U_129] : p(s(tyop_2Emin_2Ebool,U_129)) )
      | p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
    & ( ! [U_126] : p(s(tyop_2Emin_2Ebool,U_126))
      | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
      | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
    & ( ( ! [U_125] : ~ p(s(tyop_2Emin_2Ebool,U_125))
        & p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
      | p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
    & ( ! [U_124] : ~ p(s(tyop_2Emin_2Ebool,U_124))
      | p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
      | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
    & ( ( ! [U_123] : p(s(tyop_2Emin_2Ebool,U_123))
        & ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
      | p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
    & ! [U_122] :
        ( p(s(tyop_2Emin_2Ebool,U_122))
        | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
        | ~ p(s(tyop_2Emin_2Ebool,U_122)) )
    & ! [U_121] :
        ( p(s(tyop_2Emin_2Ebool,U_121))
        | ( ~ p(s(tyop_2Emin_2Ebool,U_121))
          & p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ) ) ),
    inference(miniscope,[status(thm)],[f_28_2]) ).

cnf(f_28_4,plain,
    ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
    | p(s(tyop_2Emin_2Ebool,U_121)) ),
    inference(clausify,[status(thm)],[f_28_3]) ).

cnf(f_28_5,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_121))
    | p(s(tyop_2Emin_2Ebool,U_121)) ),
    inference(clausify,[status(thm)],[f_28_3]) ).

cnf(f_28_6,plain,
    ( p(s(tyop_2Emin_2Ebool,U_122))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
    | ~ p(s(tyop_2Emin_2Ebool,U_122)) ),
    inference(clausify,[status(thm)],[f_28_3]) ).

cnf(f_28_7,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
    | p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
    inference(clausify,[status(thm)],[f_28_3]) ).

cnf(f_28_8,plain,
    ( p(s(tyop_2Emin_2Ebool,U_123))
    | p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
    inference(clausify,[status(thm)],[f_28_3]) ).

cnf(f_28_9,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_124))
    | p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
    inference(clausify,[status(thm)],[f_28_3]) ).

cnf(f_28_10,plain,
    ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
    | p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
    inference(clausify,[status(thm)],[f_28_3]) ).

cnf(f_28_11,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_125))
    | p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
    inference(clausify,[status(thm)],[f_28_3]) ).

cnf(f_28_12,plain,
    ( p(s(tyop_2Emin_2Ebool,U_126))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
    inference(clausify,[status(thm)],[f_28_3]) ).

cnf(f_28_13,plain,
    ( p(s(tyop_2Emin_2Ebool,U_129))
    | p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
    inference(clausify,[status(thm)],[f_28_3]) ).

cnf(f_28_14,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_130))
    | p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
    inference(clausify,[status(thm)],[f_28_3]) ).

cnf(f_28_15,plain,
    ( p(s(tyop_2Emin_2Ebool,U_128))
    | ~ p(s(tyop_2Emin_2Ebool,U_128))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
    inference(clausify,[status(thm)],[f_28_3]) ).

cnf(f_28_16,plain,
    ( p(s(tyop_2Emin_2Ebool,U_131))
    | ~ p(s(tyop_2Emin_2Ebool,U_131)) ),
    inference(clausify,[status(thm)],[f_28_3]) ).

cnf(f_28_17,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
    | ~ p(s(tyop_2Emin_2Ebool,U_131)) ),
    inference(clausify,[status(thm)],[f_28_3]) ).

cnf(f_28_18,plain,
    ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
    | ~ p(s(tyop_2Emin_2Ebool,U_132))
    | p(s(tyop_2Emin_2Ebool,U_132)) ),
    inference(clausify,[status(thm)],[f_28_3]) ).

fof(f_29_1,plain,
    ( ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
      | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
    & ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
      | p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
    & ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
      | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
    & ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
      | p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
    & ! [V0t_2E0] :
        ( ( p(s(tyop_2Emin_2Ebool,V0t_2E0))
          | ~ p(s(tyop_2Emin_2Ebool,V0t_2E0)) )
        & ( p(s(tyop_2Emin_2Ebool,V0t_2E0))
          | ~ p(s(tyop_2Emin_2Ebool,V0t_2E0)) ) ) ),
    inference(fof_nnf,[status(thm)],[thm_2Ebool_2ENOT__CLAUSES]) ).

fof(f_29_2,plain,
    ( ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
      | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
    & ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
      | p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
    & ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
      | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
    & ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
      | p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
    & ! [U_133] :
        ( ( p(s(tyop_2Emin_2Ebool,U_133))
          | ~ p(s(tyop_2Emin_2Ebool,U_133)) )
        & ( p(s(tyop_2Emin_2Ebool,U_133))
          | ~ p(s(tyop_2Emin_2Ebool,U_133)) ) ) ),
    inference(variable_rename,[status(thm)],[f_29_1]) ).

fof(f_29_3,plain,
    ( ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
      | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
    & ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
      | p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
    & ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
      | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
    & ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
      | p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
    & ! [U_135] :
        ( p(s(tyop_2Emin_2Ebool,U_135))
        | ~ p(s(tyop_2Emin_2Ebool,U_135)) )
    & ! [U_134] :
        ( p(s(tyop_2Emin_2Ebool,U_134))
        | ~ p(s(tyop_2Emin_2Ebool,U_134)) ) ),
    inference(miniscope,[status(thm)],[f_29_2]) ).

cnf(f_29_4,plain,
    ( p(s(tyop_2Emin_2Ebool,U_134))
    | ~ p(s(tyop_2Emin_2Ebool,U_134)) ),
    inference(clausify,[status(thm)],[f_29_3]) ).

cnf(f_29_5,plain,
    ( p(s(tyop_2Emin_2Ebool,U_135))
    | ~ p(s(tyop_2Emin_2Ebool,U_135)) ),
    inference(clausify,[status(thm)],[f_29_3]) ).

cnf(f_29_6,plain,
    ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
    | p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
    inference(clausify,[status(thm)],[f_29_3]) ).

cnf(f_29_7,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
    inference(clausify,[status(thm)],[f_29_3]) ).

cnf(f_29_8,plain,
    ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
    | p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
    inference(clausify,[status(thm)],[f_29_3]) ).

cnf(f_29_9,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
    inference(clausify,[status(thm)],[f_29_3]) ).

fof(f_30_1,plain,
    ! [A_27a,V0x_2E0] :
      ( ( s(A_27a,V0x_2E0) = s(A_27a,V0x_2E0)
        | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
      & ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
        | s(A_27a,V0x_2E0) != s(A_27a,V0x_2E0) ) ),
    inference(fof_nnf,[status(thm)],[thm_2Ebool_2EREFL__CLAUSE]) ).

fof(f_30_2,plain,
    ! [U_137,U_136] :
      ( ( s(U_137,U_136) = s(U_137,U_136)
        | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
      & ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
        | s(U_137,U_136) != s(U_137,U_136) ) ),
    inference(variable_rename,[status(thm)],[f_30_1]) ).

fof(f_30_3,plain,
    ( ( ! [U_141,U_139] : s(U_141,U_139) = s(U_141,U_139)
      | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
    & ( ! [U_140,U_138] : s(U_140,U_138) != s(U_140,U_138)
      | p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ) ),
    inference(miniscope,[status(thm)],[f_30_2]) ).

cnf(f_30_4,plain,
    ( s(U_140,U_138) != s(U_140,U_138)
    | p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
    inference(clausify,[status(thm)],[f_30_3]) ).

cnf(f_30_5,plain,
    ( s(U_141,U_139) = s(U_141,U_139)
    | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
    inference(clausify,[status(thm)],[f_30_3]) ).

fof(f_31_1,plain,
    ! [V0t_2E0] :
      ( ( s(tyop_2Emin_2Ebool,V0t_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
        | p(s(tyop_2Emin_2Ebool,V0t_2E0)) )
      & ( ~ p(s(tyop_2Emin_2Ebool,V0t_2E0))
        | s(tyop_2Emin_2Ebool,V0t_2E0) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) )
      & ( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,V0t_2E0)
        | p(s(tyop_2Emin_2Ebool,V0t_2E0)) )
      & ( ~ p(s(tyop_2Emin_2Ebool,V0t_2E0))
        | s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) != s(tyop_2Emin_2Ebool,V0t_2E0) )
      & ( s(tyop_2Emin_2Ebool,V0t_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
        | ~ p(s(tyop_2Emin_2Ebool,V0t_2E0)) )
      & ( p(s(tyop_2Emin_2Ebool,V0t_2E0))
        | s(tyop_2Emin_2Ebool,V0t_2E0) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) )
      & ( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,V0t_2E0)
        | ~ p(s(tyop_2Emin_2Ebool,V0t_2E0)) )
      & ( p(s(tyop_2Emin_2Ebool,V0t_2E0))
        | s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,V0t_2E0) ) ),
    inference(fof_nnf,[status(thm)],[thm_2Ebool_2EEQ__CLAUSES]) ).

fof(f_31_2,plain,
    ! [U_142] :
      ( ( s(tyop_2Emin_2Ebool,U_142) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
        | p(s(tyop_2Emin_2Ebool,U_142)) )
      & ( ~ p(s(tyop_2Emin_2Ebool,U_142))
        | s(tyop_2Emin_2Ebool,U_142) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) )
      & ( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,U_142)
        | p(s(tyop_2Emin_2Ebool,U_142)) )
      & ( ~ p(s(tyop_2Emin_2Ebool,U_142))
        | s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) != s(tyop_2Emin_2Ebool,U_142) )
      & ( s(tyop_2Emin_2Ebool,U_142) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
        | ~ p(s(tyop_2Emin_2Ebool,U_142)) )
      & ( p(s(tyop_2Emin_2Ebool,U_142))
        | s(tyop_2Emin_2Ebool,U_142) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) )
      & ( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,U_142)
        | ~ p(s(tyop_2Emin_2Ebool,U_142)) )
      & ( p(s(tyop_2Emin_2Ebool,U_142))
        | s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,U_142) ) ),
    inference(variable_rename,[status(thm)],[f_31_1]) ).

fof(f_31_3,plain,
    ( ! [U_154] :
        ( s(tyop_2Emin_2Ebool,U_154) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
        | p(s(tyop_2Emin_2Ebool,U_154)) )
    & ! [U_153] :
        ( ~ p(s(tyop_2Emin_2Ebool,U_153))
        | s(tyop_2Emin_2Ebool,U_153) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) )
    & ! [U_152] :
        ( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,U_152)
        | p(s(tyop_2Emin_2Ebool,U_152)) )
    & ! [U_151] :
        ( ~ p(s(tyop_2Emin_2Ebool,U_151))
        | s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) != s(tyop_2Emin_2Ebool,U_151) )
    & ! [U_150] :
        ( s(tyop_2Emin_2Ebool,U_150) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
        | ~ p(s(tyop_2Emin_2Ebool,U_150)) )
    & ! [U_149] :
        ( p(s(tyop_2Emin_2Ebool,U_149))
        | s(tyop_2Emin_2Ebool,U_149) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) )
    & ! [U_148] :
        ( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,U_148)
        | ~ p(s(tyop_2Emin_2Ebool,U_148)) )
    & ! [U_147] :
        ( p(s(tyop_2Emin_2Ebool,U_147))
        | s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,U_147) ) ),
    inference(miniscope,[status(thm)],[f_31_2]) ).

cnf(f_31_4,plain,
    ( p(s(tyop_2Emin_2Ebool,U_147))
    | s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,U_147) ),
    inference(clausify,[status(thm)],[f_31_3]) ).

cnf(f_31_5,plain,
    ( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,U_148)
    | ~ p(s(tyop_2Emin_2Ebool,U_148)) ),
    inference(clausify,[status(thm)],[f_31_3]) ).

cnf(f_31_6,plain,
    ( p(s(tyop_2Emin_2Ebool,U_149))
    | s(tyop_2Emin_2Ebool,U_149) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
    inference(clausify,[status(thm)],[f_31_3]) ).

cnf(f_31_7,plain,
    ( s(tyop_2Emin_2Ebool,U_150) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
    | ~ p(s(tyop_2Emin_2Ebool,U_150)) ),
    inference(clausify,[status(thm)],[f_31_3]) ).

cnf(f_31_8,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_151))
    | s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) != s(tyop_2Emin_2Ebool,U_151) ),
    inference(clausify,[status(thm)],[f_31_3]) ).

cnf(f_31_9,plain,
    ( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,U_152)
    | p(s(tyop_2Emin_2Ebool,U_152)) ),
    inference(clausify,[status(thm)],[f_31_3]) ).

cnf(f_31_10,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_153))
    | s(tyop_2Emin_2Ebool,U_153) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
    inference(clausify,[status(thm)],[f_31_3]) ).

cnf(f_31_11,plain,
    ( s(tyop_2Emin_2Ebool,U_154) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
    | p(s(tyop_2Emin_2Ebool,U_154)) ),
    inference(clausify,[status(thm)],[f_31_3]) ).

fof(f_32_1,plain,
    ! [A_27a,A_27b,V0s_2E0,V1t_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V1t_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0))))
      | p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V1t_2E0)))) ),
    inference(fof_nnf,[status(thm)],[thm_2Ecardinal_2ECARD__LE__TOTAL]) ).

fof(f_32_2,plain,
    ! [U_158,U_157,U_156,U_155] :
      ( p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(U_157,tyop_2Emin_2Ebool),U_155),s(tyop_2Emin_2Efun(U_158,tyop_2Emin_2Ebool),U_156))))
      | p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(U_158,tyop_2Emin_2Ebool),U_156),s(tyop_2Emin_2Efun(U_157,tyop_2Emin_2Ebool),U_155)))) ),
    inference(variable_rename,[status(thm)],[f_32_1]) ).

cnf(f_32_3,plain,
    ( p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(U_157,tyop_2Emin_2Ebool),U_155),s(tyop_2Emin_2Efun(U_158,tyop_2Emin_2Ebool),U_156))))
    | p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(U_158,tyop_2Emin_2Ebool),U_156),s(tyop_2Emin_2Efun(U_157,tyop_2Emin_2Ebool),U_155)))) ),
    inference(clausify,[status(thm)],[f_32_2]) ).

fof(f_33_1,plain,
    ! [V0t_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,V0t_2E0))
        | ~ p(s(tyop_2Emin_2Ebool,V0t_2E0)) )
      & ( p(s(tyop_2Emin_2Ebool,V0t_2E0))
        | ~ p(s(tyop_2Emin_2Ebool,V0t_2E0)) ) ),
    inference(fof_nnf,[status(thm)],[thm_2Esat_2ENOT__NOT]) ).

fof(f_33_2,plain,
    ! [U_159] :
      ( ( p(s(tyop_2Emin_2Ebool,U_159))
        | ~ p(s(tyop_2Emin_2Ebool,U_159)) )
      & ( p(s(tyop_2Emin_2Ebool,U_159))
        | ~ p(s(tyop_2Emin_2Ebool,U_159)) ) ),
    inference(variable_rename,[status(thm)],[f_33_1]) ).

fof(f_33_3,plain,
    ( ! [U_161] :
        ( p(s(tyop_2Emin_2Ebool,U_161))
        | ~ p(s(tyop_2Emin_2Ebool,U_161)) )
    & ! [U_160] :
        ( p(s(tyop_2Emin_2Ebool,U_160))
        | ~ p(s(tyop_2Emin_2Ebool,U_160)) ) ),
    inference(miniscope,[status(thm)],[f_33_2]) ).

cnf(f_33_4,plain,
    ( p(s(tyop_2Emin_2Ebool,U_160))
    | ~ p(s(tyop_2Emin_2Ebool,U_160)) ),
    inference(clausify,[status(thm)],[f_33_3]) ).

cnf(f_33_5,plain,
    ( p(s(tyop_2Emin_2Ebool,U_161))
    | ~ p(s(tyop_2Emin_2Ebool,U_161)) ),
    inference(clausify,[status(thm)],[f_33_3]) ).

fof(f_34_1,plain,
    ! [V0A_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
      | p(s(tyop_2Emin_2Ebool,V0A_2E0))
      | ~ p(s(tyop_2Emin_2Ebool,V0A_2E0)) ),
    inference(fof_nnf,[status(thm)],[thm_2Esat_2EAND__INV__IMP]) ).

fof(f_34_2,plain,
    ! [U_162] :
      ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
      | p(s(tyop_2Emin_2Ebool,U_162))
      | ~ p(s(tyop_2Emin_2Ebool,U_162)) ),
    inference(variable_rename,[status(thm)],[f_34_1]) ).

cnf(f_34_3,plain,
    ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
    | p(s(tyop_2Emin_2Ebool,U_162))
    | ~ p(s(tyop_2Emin_2Ebool,U_162)) ),
    inference(clausify,[status(thm)],[f_34_2]) ).

fof(f_35_1,plain,
    ! [V0B_2E0,V1A_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
        | p(s(tyop_2Emin_2Ebool,V0B_2E0))
        | p(s(tyop_2Emin_2Ebool,V1A_2E0))
        | ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
          & ~ p(s(tyop_2Emin_2Ebool,V0B_2E0))
          & ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
            | ~ p(s(tyop_2Emin_2Ebool,V1A_2E0)) ) ) )
      & ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
        | p(s(tyop_2Emin_2Ebool,V0B_2E0))
        | ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
          & p(s(tyop_2Emin_2Ebool,V1A_2E0)) )
        | ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
          & ~ p(s(tyop_2Emin_2Ebool,V0B_2E0))
          & ~ p(s(tyop_2Emin_2Ebool,V1A_2E0)) ) ) ),
    inference(fof_nnf,[status(thm)],[thm_2Esat_2EOR__DUAL2]) ).

fof(f_35_2,plain,
    ! [U_164,U_163] :
      ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
        | p(s(tyop_2Emin_2Ebool,U_164))
        | p(s(tyop_2Emin_2Ebool,U_163))
        | ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
          & ~ p(s(tyop_2Emin_2Ebool,U_164))
          & ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
            | ~ p(s(tyop_2Emin_2Ebool,U_163)) ) ) )
      & ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
        | p(s(tyop_2Emin_2Ebool,U_164))
        | ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
          & p(s(tyop_2Emin_2Ebool,U_163)) )
        | ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
          & ~ p(s(tyop_2Emin_2Ebool,U_164))
          & ~ p(s(tyop_2Emin_2Ebool,U_163)) ) ) ),
    inference(variable_rename,[status(thm)],[f_35_1]) ).

fof(f_35_3,plain,
    ( ! [U_168,U_166] :
        ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
        | p(s(tyop_2Emin_2Ebool,U_168))
        | p(s(tyop_2Emin_2Ebool,U_166))
        | ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
          & ~ p(s(tyop_2Emin_2Ebool,U_168))
          & ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
            | ~ p(s(tyop_2Emin_2Ebool,U_166)) ) ) )
    & ! [U_167,U_165] :
        ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
        | p(s(tyop_2Emin_2Ebool,U_167))
        | ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
          & p(s(tyop_2Emin_2Ebool,U_165)) )
        | ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
          & ~ p(s(tyop_2Emin_2Ebool,U_167))
          & ~ p(s(tyop_2Emin_2Ebool,U_165)) ) ) ),
    inference(miniscope,[status(thm)],[f_35_2]) ).

cnf(f_35_4,plain,
    ( p(s(tyop_2Emin_2Ebool,U_165))
    | p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
    | p(s(tyop_2Emin_2Ebool,U_167))
    | ~ p(s(tyop_2Emin_2Ebool,U_165)) ),
    inference(clausify,[status(thm)],[f_35_3]) ).

cnf(f_35_5,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
    | p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
    | p(s(tyop_2Emin_2Ebool,U_167))
    | ~ p(s(tyop_2Emin_2Ebool,U_165)) ),
    inference(clausify,[status(thm)],[f_35_3]) ).

cnf(f_35_6,plain,
    ( p(s(tyop_2Emin_2Ebool,U_165))
    | p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
    | p(s(tyop_2Emin_2Ebool,U_167))
    | ~ p(s(tyop_2Emin_2Ebool,U_167)) ),
    inference(clausify,[status(thm)],[f_35_3]) ).

cnf(f_35_7,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
    | p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
    | p(s(tyop_2Emin_2Ebool,U_167))
    | ~ p(s(tyop_2Emin_2Ebool,U_167)) ),
    inference(clausify,[status(thm)],[f_35_3]) ).

cnf(f_35_8,plain,
    ( p(s(tyop_2Emin_2Ebool,U_165))
    | p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
    | p(s(tyop_2Emin_2Ebool,U_167))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
    inference(clausify,[status(thm)],[f_35_3]) ).

cnf(f_35_9,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
    | p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
    | p(s(tyop_2Emin_2Ebool,U_167))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
    inference(clausify,[status(thm)],[f_35_3]) ).

cnf(f_35_10,plain,
    ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
    | ~ p(s(tyop_2Emin_2Ebool,U_166))
    | p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
    | p(s(tyop_2Emin_2Ebool,U_168))
    | p(s(tyop_2Emin_2Ebool,U_166)) ),
    inference(clausify,[status(thm)],[f_35_3]) ).

cnf(f_35_11,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_168))
    | p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
    | p(s(tyop_2Emin_2Ebool,U_168))
    | p(s(tyop_2Emin_2Ebool,U_166)) ),
    inference(clausify,[status(thm)],[f_35_3]) ).

cnf(f_35_12,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
    | p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
    | p(s(tyop_2Emin_2Ebool,U_168))
    | p(s(tyop_2Emin_2Ebool,U_166)) ),
    inference(clausify,[status(thm)],[f_35_3]) ).

fof(f_36_1,plain,
    ! [V0B_2E0,V1A_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
        | p(s(tyop_2Emin_2Ebool,V0B_2E0))
        | ~ p(s(tyop_2Emin_2Ebool,V1A_2E0))
        | ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
          & ~ p(s(tyop_2Emin_2Ebool,V0B_2E0))
          & p(s(tyop_2Emin_2Ebool,V1A_2E0)) ) )
      & ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
        | p(s(tyop_2Emin_2Ebool,V0B_2E0))
        | ~ p(s(tyop_2Emin_2Ebool,V1A_2E0))
        | ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
          & ~ p(s(tyop_2Emin_2Ebool,V0B_2E0))
          & p(s(tyop_2Emin_2Ebool,V1A_2E0)) ) ) ),
    inference(fof_nnf,[status(thm)],[thm_2Esat_2EOR__DUAL3]) ).

fof(f_36_2,plain,
    ! [U_170,U_169] :
      ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
        | p(s(tyop_2Emin_2Ebool,U_170))
        | ~ p(s(tyop_2Emin_2Ebool,U_169))
        | ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
          & ~ p(s(tyop_2Emin_2Ebool,U_170))
          & p(s(tyop_2Emin_2Ebool,U_169)) ) )
      & ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
        | p(s(tyop_2Emin_2Ebool,U_170))
        | ~ p(s(tyop_2Emin_2Ebool,U_169))
        | ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
          & ~ p(s(tyop_2Emin_2Ebool,U_170))
          & p(s(tyop_2Emin_2Ebool,U_169)) ) ) ),
    inference(variable_rename,[status(thm)],[f_36_1]) ).

fof(f_36_3,plain,
    ( ! [U_174,U_172] :
        ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
        | p(s(tyop_2Emin_2Ebool,U_174))
        | ~ p(s(tyop_2Emin_2Ebool,U_172))
        | ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
          & ~ p(s(tyop_2Emin_2Ebool,U_174))
          & p(s(tyop_2Emin_2Ebool,U_172)) ) )
    & ! [U_173,U_171] :
        ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
        | p(s(tyop_2Emin_2Ebool,U_173))
        | ~ p(s(tyop_2Emin_2Ebool,U_171))
        | ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
          & ~ p(s(tyop_2Emin_2Ebool,U_173))
          & p(s(tyop_2Emin_2Ebool,U_171)) ) ) ),
    inference(miniscope,[status(thm)],[f_36_2]) ).

cnf(f_36_4,plain,
    ( p(s(tyop_2Emin_2Ebool,U_171))
    | p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
    | p(s(tyop_2Emin_2Ebool,U_173))
    | ~ p(s(tyop_2Emin_2Ebool,U_171)) ),
    inference(clausify,[status(thm)],[f_36_3]) ).

cnf(f_36_5,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_173))
    | p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
    | p(s(tyop_2Emin_2Ebool,U_173))
    | ~ p(s(tyop_2Emin_2Ebool,U_171)) ),
    inference(clausify,[status(thm)],[f_36_3]) ).

cnf(f_36_6,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
    | p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
    | p(s(tyop_2Emin_2Ebool,U_173))
    | ~ p(s(tyop_2Emin_2Ebool,U_171)) ),
    inference(clausify,[status(thm)],[f_36_3]) ).

cnf(f_36_7,plain,
    ( p(s(tyop_2Emin_2Ebool,U_172))
    | p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
    | p(s(tyop_2Emin_2Ebool,U_174))
    | ~ p(s(tyop_2Emin_2Ebool,U_172)) ),
    inference(clausify,[status(thm)],[f_36_3]) ).

cnf(f_36_8,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_174))
    | p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
    | p(s(tyop_2Emin_2Ebool,U_174))
    | ~ p(s(tyop_2Emin_2Ebool,U_172)) ),
    inference(clausify,[status(thm)],[f_36_3]) ).

cnf(f_36_9,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
    | p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
    | p(s(tyop_2Emin_2Ebool,U_174))
    | ~ p(s(tyop_2Emin_2Ebool,U_172)) ),
    inference(clausify,[status(thm)],[f_36_3]) ).

fof(f_37_1,plain,
    ! [V0A_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
      | ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
        & p(s(tyop_2Emin_2Ebool,V0A_2E0)) )
      | ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
        & ~ p(s(tyop_2Emin_2Ebool,V0A_2E0)) ) ),
    inference(fof_nnf,[status(thm)],[thm_2Esat_2EAND__INV2]) ).

fof(f_37_2,plain,
    ! [U_175] :
      ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
      | ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
        & p(s(tyop_2Emin_2Ebool,U_175)) )
      | ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
        & ~ p(s(tyop_2Emin_2Ebool,U_175)) ) ),
    inference(variable_rename,[status(thm)],[f_37_1]) ).

cnf(f_37_3,plain,
    ( p(s(tyop_2Emin_2Ebool,U_175))
    | p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
    | ~ p(s(tyop_2Emin_2Ebool,U_175)) ),
    inference(clausify,[status(thm)],[f_37_2]) ).

cnf(f_37_4,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
    | p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
    | ~ p(s(tyop_2Emin_2Ebool,U_175)) ),
    inference(clausify,[status(thm)],[f_37_2]) ).

cnf(f_37_5,plain,
    ( p(s(tyop_2Emin_2Ebool,U_175))
    | p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
    inference(clausify,[status(thm)],[f_37_2]) ).

cnf(f_37_6,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
    | p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
    inference(clausify,[status(thm)],[f_37_2]) ).

fof(f_38_1,plain,
    ! [V0r_2E0,V1q_2E0,V2p_2E0] :
      ( ( ( ( p(s(tyop_2Emin_2Ebool,V2p_2E0))
            | s(tyop_2Emin_2Ebool,V1q_2E0) != s(tyop_2Emin_2Ebool,V0r_2E0) )
          & ( s(tyop_2Emin_2Ebool,V1q_2E0) = s(tyop_2Emin_2Ebool,V0r_2E0)
            | ~ p(s(tyop_2Emin_2Ebool,V2p_2E0)) ) )
        | ( p(s(tyop_2Emin_2Ebool,V2p_2E0))
          & p(s(tyop_2Emin_2Ebool,V1q_2E0))
          & ~ p(s(tyop_2Emin_2Ebool,V0r_2E0)) )
        | ( p(s(tyop_2Emin_2Ebool,V2p_2E0))
          & p(s(tyop_2Emin_2Ebool,V0r_2E0))
          & ~ p(s(tyop_2Emin_2Ebool,V1q_2E0)) )
        | ( p(s(tyop_2Emin_2Ebool,V1q_2E0))
          & p(s(tyop_2Emin_2Ebool,V0r_2E0))
          & ~ p(s(tyop_2Emin_2Ebool,V2p_2E0)) )
        | ( ~ p(s(tyop_2Emin_2Ebool,V0r_2E0))
          & ~ p(s(tyop_2Emin_2Ebool,V1q_2E0))
          & ~ p(s(tyop_2Emin_2Ebool,V2p_2E0)) ) )
      & ( ( ( ~ p(s(tyop_2Emin_2Ebool,V2p_2E0))
            | ~ p(s(tyop_2Emin_2Ebool,V1q_2E0))
            | p(s(tyop_2Emin_2Ebool,V0r_2E0)) )
          & ( ~ p(s(tyop_2Emin_2Ebool,V2p_2E0))
            | ~ p(s(tyop_2Emin_2Ebool,V0r_2E0))
            | p(s(tyop_2Emin_2Ebool,V1q_2E0)) )
          & ( ~ p(s(tyop_2Emin_2Ebool,V1q_2E0))
            | ~ p(s(tyop_2Emin_2Ebool,V0r_2E0))
            | p(s(tyop_2Emin_2Ebool,V2p_2E0)) )
          & ( p(s(tyop_2Emin_2Ebool,V0r_2E0))
            | p(s(tyop_2Emin_2Ebool,V1q_2E0))
            | p(s(tyop_2Emin_2Ebool,V2p_2E0)) ) )
        | ( ~ p(s(tyop_2Emin_2Ebool,V2p_2E0))
          & s(tyop_2Emin_2Ebool,V1q_2E0) = s(tyop_2Emin_2Ebool,V0r_2E0) )
        | ( s(tyop_2Emin_2Ebool,V1q_2E0) != s(tyop_2Emin_2Ebool,V0r_2E0)
          & p(s(tyop_2Emin_2Ebool,V2p_2E0)) ) ) ),
    inference(fof_nnf,[status(thm)],[thm_2Esat_2Edc__eq]) ).

fof(f_38_2,plain,
    ! [U_178,U_177,U_176] :
      ( ( ( ( p(s(tyop_2Emin_2Ebool,U_176))
            | s(tyop_2Emin_2Ebool,U_177) != s(tyop_2Emin_2Ebool,U_178) )
          & ( s(tyop_2Emin_2Ebool,U_177) = s(tyop_2Emin_2Ebool,U_178)
            | ~ p(s(tyop_2Emin_2Ebool,U_176)) ) )
        | ( p(s(tyop_2Emin_2Ebool,U_176))
          & p(s(tyop_2Emin_2Ebool,U_177))
          & ~ p(s(tyop_2Emin_2Ebool,U_178)) )
        | ( p(s(tyop_2Emin_2Ebool,U_176))
          & p(s(tyop_2Emin_2Ebool,U_178))
          & ~ p(s(tyop_2Emin_2Ebool,U_177)) )
        | ( p(s(tyop_2Emin_2Ebool,U_177))
          & p(s(tyop_2Emin_2Ebool,U_178))
          & ~ p(s(tyop_2Emin_2Ebool,U_176)) )
        | ( ~ p(s(tyop_2Emin_2Ebool,U_178))
          & ~ p(s(tyop_2Emin_2Ebool,U_177))
          & ~ p(s(tyop_2Emin_2Ebool,U_176)) ) )
      & ( ( ( ~ p(s(tyop_2Emin_2Ebool,U_176))
            | ~ p(s(tyop_2Emin_2Ebool,U_177))
            | p(s(tyop_2Emin_2Ebool,U_178)) )
          & ( ~ p(s(tyop_2Emin_2Ebool,U_176))
            | ~ p(s(tyop_2Emin_2Ebool,U_178))
            | p(s(tyop_2Emin_2Ebool,U_177)) )
          & ( ~ p(s(tyop_2Emin_2Ebool,U_177))
            | ~ p(s(tyop_2Emin_2Ebool,U_178))
            | p(s(tyop_2Emin_2Ebool,U_176)) )
          & ( p(s(tyop_2Emin_2Ebool,U_178))
            | p(s(tyop_2Emin_2Ebool,U_177))
            | p(s(tyop_2Emin_2Ebool,U_176)) ) )
        | ( ~ p(s(tyop_2Emin_2Ebool,U_176))
          & s(tyop_2Emin_2Ebool,U_177) = s(tyop_2Emin_2Ebool,U_178) )
        | ( s(tyop_2Emin_2Ebool,U_177) != s(tyop_2Emin_2Ebool,U_178)
          & p(s(tyop_2Emin_2Ebool,U_176)) ) ) ),
    inference(variable_rename,[status(thm)],[f_38_1]) ).

fof(f_38_3,plain,
    ( ! [U_184,U_182,U_180] :
        ( ( ( p(s(tyop_2Emin_2Ebool,U_180))
            | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) )
          & ( s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
            | ~ p(s(tyop_2Emin_2Ebool,U_180)) ) )
        | ( p(s(tyop_2Emin_2Ebool,U_180))
          & p(s(tyop_2Emin_2Ebool,U_182))
          & ~ p(s(tyop_2Emin_2Ebool,U_184)) )
        | ( p(s(tyop_2Emin_2Ebool,U_180))
          & p(s(tyop_2Emin_2Ebool,U_184))
          & ~ p(s(tyop_2Emin_2Ebool,U_182)) )
        | ( p(s(tyop_2Emin_2Ebool,U_182))
          & p(s(tyop_2Emin_2Ebool,U_184))
          & ~ p(s(tyop_2Emin_2Ebool,U_180)) )
        | ( ~ p(s(tyop_2Emin_2Ebool,U_184))
          & ~ p(s(tyop_2Emin_2Ebool,U_182))
          & ~ p(s(tyop_2Emin_2Ebool,U_180)) ) )
    & ! [U_183,U_181,U_179] :
        ( ( ( ~ p(s(tyop_2Emin_2Ebool,U_179))
            | ~ p(s(tyop_2Emin_2Ebool,U_181))
            | p(s(tyop_2Emin_2Ebool,U_183)) )
          & ( ~ p(s(tyop_2Emin_2Ebool,U_179))
            | ~ p(s(tyop_2Emin_2Ebool,U_183))
            | p(s(tyop_2Emin_2Ebool,U_181)) )
          & ( ~ p(s(tyop_2Emin_2Ebool,U_181))
            | ~ p(s(tyop_2Emin_2Ebool,U_183))
            | p(s(tyop_2Emin_2Ebool,U_179)) )
          & ( p(s(tyop_2Emin_2Ebool,U_183))
            | p(s(tyop_2Emin_2Ebool,U_181))
            | p(s(tyop_2Emin_2Ebool,U_179)) ) )
        | ( ~ p(s(tyop_2Emin_2Ebool,U_179))
          & s(tyop_2Emin_2Ebool,U_181) = s(tyop_2Emin_2Ebool,U_183) )
        | ( s(tyop_2Emin_2Ebool,U_181) != s(tyop_2Emin_2Ebool,U_183)
          & p(s(tyop_2Emin_2Ebool,U_179)) ) ) ),
    inference(miniscope,[status(thm)],[f_38_2]) ).

cnf(f_38_4,plain,
    ( s(tyop_2Emin_2Ebool,U_181) = s(tyop_2Emin_2Ebool,U_183)
    | p(s(tyop_2Emin_2Ebool,U_179))
    | p(s(tyop_2Emin_2Ebool,U_183))
    | p(s(tyop_2Emin_2Ebool,U_181))
    | p(s(tyop_2Emin_2Ebool,U_179)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_5,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_179))
    | p(s(tyop_2Emin_2Ebool,U_179))
    | p(s(tyop_2Emin_2Ebool,U_183))
    | p(s(tyop_2Emin_2Ebool,U_181))
    | p(s(tyop_2Emin_2Ebool,U_179)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_6,plain,
    ( s(tyop_2Emin_2Ebool,U_181) = s(tyop_2Emin_2Ebool,U_183)
    | s(tyop_2Emin_2Ebool,U_181) != s(tyop_2Emin_2Ebool,U_183)
    | p(s(tyop_2Emin_2Ebool,U_183))
    | p(s(tyop_2Emin_2Ebool,U_181))
    | p(s(tyop_2Emin_2Ebool,U_179)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_7,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_179))
    | s(tyop_2Emin_2Ebool,U_181) != s(tyop_2Emin_2Ebool,U_183)
    | p(s(tyop_2Emin_2Ebool,U_183))
    | p(s(tyop_2Emin_2Ebool,U_181))
    | p(s(tyop_2Emin_2Ebool,U_179)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_8,plain,
    ( s(tyop_2Emin_2Ebool,U_181) = s(tyop_2Emin_2Ebool,U_183)
    | p(s(tyop_2Emin_2Ebool,U_179))
    | ~ p(s(tyop_2Emin_2Ebool,U_181))
    | ~ p(s(tyop_2Emin_2Ebool,U_183))
    | p(s(tyop_2Emin_2Ebool,U_179)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_9,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_179))
    | p(s(tyop_2Emin_2Ebool,U_179))
    | ~ p(s(tyop_2Emin_2Ebool,U_181))
    | ~ p(s(tyop_2Emin_2Ebool,U_183))
    | p(s(tyop_2Emin_2Ebool,U_179)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_10,plain,
    ( s(tyop_2Emin_2Ebool,U_181) = s(tyop_2Emin_2Ebool,U_183)
    | s(tyop_2Emin_2Ebool,U_181) != s(tyop_2Emin_2Ebool,U_183)
    | ~ p(s(tyop_2Emin_2Ebool,U_181))
    | ~ p(s(tyop_2Emin_2Ebool,U_183))
    | p(s(tyop_2Emin_2Ebool,U_179)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_11,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_179))
    | s(tyop_2Emin_2Ebool,U_181) != s(tyop_2Emin_2Ebool,U_183)
    | ~ p(s(tyop_2Emin_2Ebool,U_181))
    | ~ p(s(tyop_2Emin_2Ebool,U_183))
    | p(s(tyop_2Emin_2Ebool,U_179)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_12,plain,
    ( s(tyop_2Emin_2Ebool,U_181) = s(tyop_2Emin_2Ebool,U_183)
    | p(s(tyop_2Emin_2Ebool,U_179))
    | ~ p(s(tyop_2Emin_2Ebool,U_179))
    | ~ p(s(tyop_2Emin_2Ebool,U_183))
    | p(s(tyop_2Emin_2Ebool,U_181)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_13,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_179))
    | p(s(tyop_2Emin_2Ebool,U_179))
    | ~ p(s(tyop_2Emin_2Ebool,U_179))
    | ~ p(s(tyop_2Emin_2Ebool,U_183))
    | p(s(tyop_2Emin_2Ebool,U_181)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_14,plain,
    ( s(tyop_2Emin_2Ebool,U_181) = s(tyop_2Emin_2Ebool,U_183)
    | s(tyop_2Emin_2Ebool,U_181) != s(tyop_2Emin_2Ebool,U_183)
    | ~ p(s(tyop_2Emin_2Ebool,U_179))
    | ~ p(s(tyop_2Emin_2Ebool,U_183))
    | p(s(tyop_2Emin_2Ebool,U_181)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_15,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_179))
    | s(tyop_2Emin_2Ebool,U_181) != s(tyop_2Emin_2Ebool,U_183)
    | ~ p(s(tyop_2Emin_2Ebool,U_179))
    | ~ p(s(tyop_2Emin_2Ebool,U_183))
    | p(s(tyop_2Emin_2Ebool,U_181)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_16,plain,
    ( s(tyop_2Emin_2Ebool,U_181) = s(tyop_2Emin_2Ebool,U_183)
    | p(s(tyop_2Emin_2Ebool,U_179))
    | ~ p(s(tyop_2Emin_2Ebool,U_179))
    | ~ p(s(tyop_2Emin_2Ebool,U_181))
    | p(s(tyop_2Emin_2Ebool,U_183)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_17,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_179))
    | p(s(tyop_2Emin_2Ebool,U_179))
    | ~ p(s(tyop_2Emin_2Ebool,U_179))
    | ~ p(s(tyop_2Emin_2Ebool,U_181))
    | p(s(tyop_2Emin_2Ebool,U_183)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_18,plain,
    ( s(tyop_2Emin_2Ebool,U_181) = s(tyop_2Emin_2Ebool,U_183)
    | s(tyop_2Emin_2Ebool,U_181) != s(tyop_2Emin_2Ebool,U_183)
    | ~ p(s(tyop_2Emin_2Ebool,U_179))
    | ~ p(s(tyop_2Emin_2Ebool,U_181))
    | p(s(tyop_2Emin_2Ebool,U_183)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_19,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_179))
    | s(tyop_2Emin_2Ebool,U_181) != s(tyop_2Emin_2Ebool,U_183)
    | ~ p(s(tyop_2Emin_2Ebool,U_179))
    | ~ p(s(tyop_2Emin_2Ebool,U_181))
    | p(s(tyop_2Emin_2Ebool,U_183)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_20,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_21,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_22,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_23,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_24,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_25,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_26,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_27,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_28,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_29,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_30,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_31,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_32,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_33,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_34,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_35,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_36,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_37,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_38,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_39,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_40,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_41,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_42,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_43,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_44,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_45,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_46,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_47,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_48,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_49,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_50,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_51,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_52,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_53,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_54,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_55,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_56,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_57,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_58,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_59,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_60,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_61,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_62,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_63,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_64,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_65,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_66,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_67,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_68,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_69,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_70,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_71,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_72,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_73,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_74,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_75,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_76,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_77,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_78,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_79,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_80,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_81,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_82,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_83,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_84,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_85,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_86,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_87,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_88,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_89,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_90,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_91,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_92,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_93,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_94,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_95,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_96,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_97,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_98,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_99,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_100,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184)
    | ~ p(s(tyop_2Emin_2Ebool,U_180)) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_101,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_102,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_103,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_104,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_105,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_106,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_107,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_108,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_109,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_110,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_111,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_112,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_113,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_114,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_115,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_116,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_117,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_118,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_119,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_120,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_121,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_122,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_123,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_124,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_125,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_126,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_127,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_128,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_129,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_130,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_131,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_132,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_133,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_134,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_135,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_136,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_137,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_138,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_139,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_140,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_141,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_142,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_143,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_144,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_145,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_146,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_147,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_148,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_149,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_150,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_151,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_152,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_153,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_154,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_155,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_156,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_157,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_158,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_159,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_160,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_161,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_162,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_163,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_164,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_165,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_166,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_167,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_168,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_169,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_170,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_171,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_172,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_173,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_174,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_175,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_176,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_177,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_178,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_179,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_180,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

cnf(f_38_181,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(clausify,[status(thm)],[f_38_3]) ).

fof(f_39_1,plain,
    ! [V0q_2E0,V1p_2E0] :
      ( ( ( ( p(s(tyop_2Emin_2Ebool,V1p_2E0))
            | p(s(tyop_2Emin_2Ebool,V0q_2E0)) )
          & ( ~ p(s(tyop_2Emin_2Ebool,V0q_2E0))
            | ~ p(s(tyop_2Emin_2Ebool,V1p_2E0)) ) )
        | ( p(s(tyop_2Emin_2Ebool,V1p_2E0))
          & p(s(tyop_2Emin_2Ebool,V0q_2E0)) )
        | ( ~ p(s(tyop_2Emin_2Ebool,V0q_2E0))
          & ~ p(s(tyop_2Emin_2Ebool,V1p_2E0)) ) )
      & ( ( ( ~ p(s(tyop_2Emin_2Ebool,V1p_2E0))
            | ~ p(s(tyop_2Emin_2Ebool,V0q_2E0)) )
          & ( p(s(tyop_2Emin_2Ebool,V0q_2E0))
            | p(s(tyop_2Emin_2Ebool,V1p_2E0)) ) )
        | ( ~ p(s(tyop_2Emin_2Ebool,V1p_2E0))
          & ~ p(s(tyop_2Emin_2Ebool,V0q_2E0)) )
        | ( p(s(tyop_2Emin_2Ebool,V0q_2E0))
          & p(s(tyop_2Emin_2Ebool,V1p_2E0)) ) ) ),
    inference(fof_nnf,[status(thm)],[thm_2Esat_2Edc__neg]) ).

fof(f_39_2,plain,
    ! [U_186,U_185] :
      ( ( ( ( p(s(tyop_2Emin_2Ebool,U_185))
            | p(s(tyop_2Emin_2Ebool,U_186)) )
          & ( ~ p(s(tyop_2Emin_2Ebool,U_186))
            | ~ p(s(tyop_2Emin_2Ebool,U_185)) ) )
        | ( p(s(tyop_2Emin_2Ebool,U_185))
          & p(s(tyop_2Emin_2Ebool,U_186)) )
        | ( ~ p(s(tyop_2Emin_2Ebool,U_186))
          & ~ p(s(tyop_2Emin_2Ebool,U_185)) ) )
      & ( ( ( ~ p(s(tyop_2Emin_2Ebool,U_185))
            | ~ p(s(tyop_2Emin_2Ebool,U_186)) )
          & ( p(s(tyop_2Emin_2Ebool,U_186))
            | p(s(tyop_2Emin_2Ebool,U_185)) ) )
        | ( ~ p(s(tyop_2Emin_2Ebool,U_185))
          & ~ p(s(tyop_2Emin_2Ebool,U_186)) )
        | ( p(s(tyop_2Emin_2Ebool,U_186))
          & p(s(tyop_2Emin_2Ebool,U_185)) ) ) ),
    inference(variable_rename,[status(thm)],[f_39_1]) ).

fof(f_39_3,plain,
    ( ! [U_190,U_188] :
        ( ( ( p(s(tyop_2Emin_2Ebool,U_188))
            | p(s(tyop_2Emin_2Ebool,U_190)) )
          & ( ~ p(s(tyop_2Emin_2Ebool,U_190))
            | ~ p(s(tyop_2Emin_2Ebool,U_188)) ) )
        | ( p(s(tyop_2Emin_2Ebool,U_188))
          & p(s(tyop_2Emin_2Ebool,U_190)) )
        | ( ~ p(s(tyop_2Emin_2Ebool,U_190))
          & ~ p(s(tyop_2Emin_2Ebool,U_188)) ) )
    & ! [U_189,U_187] :
        ( ( ( ~ p(s(tyop_2Emin_2Ebool,U_187))
            | ~ p(s(tyop_2Emin_2Ebool,U_189)) )
          & ( p(s(tyop_2Emin_2Ebool,U_189))
            | p(s(tyop_2Emin_2Ebool,U_187)) ) )
        | ( ~ p(s(tyop_2Emin_2Ebool,U_187))
          & ~ p(s(tyop_2Emin_2Ebool,U_189)) )
        | ( p(s(tyop_2Emin_2Ebool,U_189))
          & p(s(tyop_2Emin_2Ebool,U_187)) ) ) ),
    inference(miniscope,[status(thm)],[f_39_2]) ).

cnf(f_39_4,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_189))
    | p(s(tyop_2Emin_2Ebool,U_187))
    | p(s(tyop_2Emin_2Ebool,U_189))
    | p(s(tyop_2Emin_2Ebool,U_187)) ),
    inference(clausify,[status(thm)],[f_39_3]) ).

cnf(f_39_5,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_187))
    | p(s(tyop_2Emin_2Ebool,U_187))
    | p(s(tyop_2Emin_2Ebool,U_189))
    | p(s(tyop_2Emin_2Ebool,U_187)) ),
    inference(clausify,[status(thm)],[f_39_3]) ).

cnf(f_39_6,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_189))
    | p(s(tyop_2Emin_2Ebool,U_189))
    | p(s(tyop_2Emin_2Ebool,U_189))
    | p(s(tyop_2Emin_2Ebool,U_187)) ),
    inference(clausify,[status(thm)],[f_39_3]) ).

cnf(f_39_7,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_187))
    | p(s(tyop_2Emin_2Ebool,U_189))
    | p(s(tyop_2Emin_2Ebool,U_189))
    | p(s(tyop_2Emin_2Ebool,U_187)) ),
    inference(clausify,[status(thm)],[f_39_3]) ).

cnf(f_39_8,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_189))
    | p(s(tyop_2Emin_2Ebool,U_187))
    | ~ p(s(tyop_2Emin_2Ebool,U_187))
    | ~ p(s(tyop_2Emin_2Ebool,U_189)) ),
    inference(clausify,[status(thm)],[f_39_3]) ).

cnf(f_39_9,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_187))
    | p(s(tyop_2Emin_2Ebool,U_187))
    | ~ p(s(tyop_2Emin_2Ebool,U_187))
    | ~ p(s(tyop_2Emin_2Ebool,U_189)) ),
    inference(clausify,[status(thm)],[f_39_3]) ).

cnf(f_39_10,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_189))
    | p(s(tyop_2Emin_2Ebool,U_189))
    | ~ p(s(tyop_2Emin_2Ebool,U_187))
    | ~ p(s(tyop_2Emin_2Ebool,U_189)) ),
    inference(clausify,[status(thm)],[f_39_3]) ).

cnf(f_39_11,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_187))
    | p(s(tyop_2Emin_2Ebool,U_189))
    | ~ p(s(tyop_2Emin_2Ebool,U_187))
    | ~ p(s(tyop_2Emin_2Ebool,U_189)) ),
    inference(clausify,[status(thm)],[f_39_3]) ).

cnf(f_39_12,plain,
    ( p(s(tyop_2Emin_2Ebool,U_190))
    | ~ p(s(tyop_2Emin_2Ebool,U_188))
    | ~ p(s(tyop_2Emin_2Ebool,U_190))
    | ~ p(s(tyop_2Emin_2Ebool,U_188)) ),
    inference(clausify,[status(thm)],[f_39_3]) ).

cnf(f_39_13,plain,
    ( p(s(tyop_2Emin_2Ebool,U_188))
    | ~ p(s(tyop_2Emin_2Ebool,U_188))
    | ~ p(s(tyop_2Emin_2Ebool,U_190))
    | ~ p(s(tyop_2Emin_2Ebool,U_188)) ),
    inference(clausify,[status(thm)],[f_39_3]) ).

cnf(f_39_14,plain,
    ( p(s(tyop_2Emin_2Ebool,U_190))
    | ~ p(s(tyop_2Emin_2Ebool,U_190))
    | ~ p(s(tyop_2Emin_2Ebool,U_190))
    | ~ p(s(tyop_2Emin_2Ebool,U_188)) ),
    inference(clausify,[status(thm)],[f_39_3]) ).

cnf(f_39_15,plain,
    ( p(s(tyop_2Emin_2Ebool,U_188))
    | ~ p(s(tyop_2Emin_2Ebool,U_190))
    | ~ p(s(tyop_2Emin_2Ebool,U_190))
    | ~ p(s(tyop_2Emin_2Ebool,U_188)) ),
    inference(clausify,[status(thm)],[f_39_3]) ).

cnf(f_39_16,plain,
    ( p(s(tyop_2Emin_2Ebool,U_190))
    | ~ p(s(tyop_2Emin_2Ebool,U_188))
    | p(s(tyop_2Emin_2Ebool,U_188))
    | p(s(tyop_2Emin_2Ebool,U_190)) ),
    inference(clausify,[status(thm)],[f_39_3]) ).

cnf(f_39_17,plain,
    ( p(s(tyop_2Emin_2Ebool,U_188))
    | ~ p(s(tyop_2Emin_2Ebool,U_188))
    | p(s(tyop_2Emin_2Ebool,U_188))
    | p(s(tyop_2Emin_2Ebool,U_190)) ),
    inference(clausify,[status(thm)],[f_39_3]) ).

cnf(f_39_18,plain,
    ( p(s(tyop_2Emin_2Ebool,U_190))
    | ~ p(s(tyop_2Emin_2Ebool,U_190))
    | p(s(tyop_2Emin_2Ebool,U_188))
    | p(s(tyop_2Emin_2Ebool,U_190)) ),
    inference(clausify,[status(thm)],[f_39_3]) ).

cnf(f_39_19,plain,
    ( p(s(tyop_2Emin_2Ebool,U_188))
    | ~ p(s(tyop_2Emin_2Ebool,U_190))
    | p(s(tyop_2Emin_2Ebool,U_188))
    | p(s(tyop_2Emin_2Ebool,U_190)) ),
    inference(clausify,[status(thm)],[f_39_3]) ).

fof(f_40_1,negated_conjecture,
    ~ ! [A_27a,A_27b,V0s_2E0,V1t_2E0] :
        ( ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V1t_2E0))))
      <=> ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V1t_2E0)))) ),
    inference(negate,[status(cth)],[thm_2Ecardinal_2ECARD__NOT__LE]) ).

fof(f_40_2,negated_conjecture,
    ? [A_27a,A_27b,V0s_2E0,V1t_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V1t_2E0))))
        & ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V1t_2E0)))) )
      | ( p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V1t_2E0))))
        & ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V1t_2E0)))) ) ),
    inference(fof_nnf,[status(thm)],[f_40_1]) ).

fof(f_40_3,negated_conjecture,
    ? [U_194,U_193,U_192,U_191] :
      ( ( p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(U_194,tyop_2Emin_2Ebool),U_192),s(tyop_2Emin_2Efun(U_193,tyop_2Emin_2Ebool),U_191))))
        & ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(U_194,tyop_2Emin_2Ebool),U_192),s(tyop_2Emin_2Efun(U_193,tyop_2Emin_2Ebool),U_191)))) )
      | ( p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(U_194,tyop_2Emin_2Ebool),U_192),s(tyop_2Emin_2Efun(U_193,tyop_2Emin_2Ebool),U_191))))
        & ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(U_194,tyop_2Emin_2Ebool),U_192),s(tyop_2Emin_2Efun(U_193,tyop_2Emin_2Ebool),U_191)))) ) ),
    inference(variable_rename,[status(thm)],[f_40_2]) ).

fof(f_40_4,negated_conjecture,
    ( ? [U_202,U_200,U_198,U_196] :
        ( p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(U_202,tyop_2Emin_2Ebool),U_198),s(tyop_2Emin_2Efun(U_200,tyop_2Emin_2Ebool),U_196))))
        & ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(U_202,tyop_2Emin_2Ebool),U_198),s(tyop_2Emin_2Efun(U_200,tyop_2Emin_2Ebool),U_196)))) )
    | ? [U_201,U_199,U_197,U_195] :
        ( p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(U_201,tyop_2Emin_2Ebool),U_197),s(tyop_2Emin_2Efun(U_199,tyop_2Emin_2Ebool),U_195))))
        & ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(U_201,tyop_2Emin_2Ebool),U_197),s(tyop_2Emin_2Efun(U_199,tyop_2Emin_2Ebool),U_195)))) ) ),
    inference(miniscope,[status(thm)],[f_40_3]) ).

fof(f_40_5,negated_conjecture,
    ( ? [U_202,U_200,U_198,U_196] :
        ( p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(U_202,tyop_2Emin_2Ebool),U_198),s(tyop_2Emin_2Efun(U_200,tyop_2Emin_2Ebool),U_196))))
        & ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(U_202,tyop_2Emin_2Ebool),U_198),s(tyop_2Emin_2Efun(U_200,tyop_2Emin_2Ebool),U_196)))) )
    | ? [U_199,U_197,U_195] :
        ( p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),U_197),s(tyop_2Emin_2Efun(U_199,tyop_2Emin_2Ebool),U_195))))
        & ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),U_197),s(tyop_2Emin_2Efun(U_199,tyop_2Emin_2Ebool),U_195)))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_201,sK4)],[f_40_4]) ).

fof(f_40_6,negated_conjecture,
    ( ? [U_202,U_200,U_198,U_196] :
        ( p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(U_202,tyop_2Emin_2Ebool),U_198),s(tyop_2Emin_2Efun(U_200,tyop_2Emin_2Ebool),U_196))))
        & ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(U_202,tyop_2Emin_2Ebool),U_198),s(tyop_2Emin_2Efun(U_200,tyop_2Emin_2Ebool),U_196)))) )
    | ? [U_197,U_195] :
        ( p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),U_197),s(tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool),U_195))))
        & ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),U_197),s(tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool),U_195)))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_199,sK5)],[f_40_5]) ).

fof(f_40_7,negated_conjecture,
    ( ? [U_202,U_200,U_198,U_196] :
        ( p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(U_202,tyop_2Emin_2Ebool),U_198),s(tyop_2Emin_2Efun(U_200,tyop_2Emin_2Ebool),U_196))))
        & ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(U_202,tyop_2Emin_2Ebool),U_198),s(tyop_2Emin_2Efun(U_200,tyop_2Emin_2Ebool),U_196)))) )
    | ? [U_195] :
        ( p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),sK6),s(tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool),U_195))))
        & ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),sK6),s(tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool),U_195)))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_197,sK6)],[f_40_6]) ).

fof(f_40_8,negated_conjecture,
    ( ? [U_202,U_200,U_198,U_196] :
        ( p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(U_202,tyop_2Emin_2Ebool),U_198),s(tyop_2Emin_2Efun(U_200,tyop_2Emin_2Ebool),U_196))))
        & ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(U_202,tyop_2Emin_2Ebool),U_198),s(tyop_2Emin_2Efun(U_200,tyop_2Emin_2Ebool),U_196)))) )
    | ( p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),sK6),s(tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool),sK7))))
      & ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),sK6),s(tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool),sK7)))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_195,sK7)],[f_40_7]) ).

fof(f_40_9,negated_conjecture,
    ( ? [U_200,U_198,U_196] :
        ( p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK8,tyop_2Emin_2Ebool),U_198),s(tyop_2Emin_2Efun(U_200,tyop_2Emin_2Ebool),U_196))))
        & ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK8,tyop_2Emin_2Ebool),U_198),s(tyop_2Emin_2Efun(U_200,tyop_2Emin_2Ebool),U_196)))) )
    | ( p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),sK6),s(tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool),sK7))))
      & ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),sK6),s(tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool),sK7)))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_202,sK8)],[f_40_8]) ).

fof(f_40_10,negated_conjecture,
    ( ? [U_198,U_196] :
        ( p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK8,tyop_2Emin_2Ebool),U_198),s(tyop_2Emin_2Efun(sK9,tyop_2Emin_2Ebool),U_196))))
        & ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK8,tyop_2Emin_2Ebool),U_198),s(tyop_2Emin_2Efun(sK9,tyop_2Emin_2Ebool),U_196)))) )
    | ( p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),sK6),s(tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool),sK7))))
      & ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),sK6),s(tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool),sK7)))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(U_200,sK9)],[f_40_9]) ).

fof(f_40_11,negated_conjecture,
    ( ? [U_196] :
        ( p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK8,tyop_2Emin_2Ebool),sK10),s(tyop_2Emin_2Efun(sK9,tyop_2Emin_2Ebool),U_196))))
        & ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK8,tyop_2Emin_2Ebool),sK10),s(tyop_2Emin_2Efun(sK9,tyop_2Emin_2Ebool),U_196)))) )
    | ( p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),sK6),s(tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool),sK7))))
      & ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),sK6),s(tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool),sK7)))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(U_198,sK10)],[f_40_10]) ).

fof(f_40_12,negated_conjecture,
    ( ( p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK8,tyop_2Emin_2Ebool),sK10),s(tyop_2Emin_2Efun(sK9,tyop_2Emin_2Ebool),sK11))))
      & ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK8,tyop_2Emin_2Ebool),sK10),s(tyop_2Emin_2Efun(sK9,tyop_2Emin_2Ebool),sK11)))) )
    | ( p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),sK6),s(tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool),sK7))))
      & ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),sK6),s(tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool),sK7)))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(U_196,sK11)],[f_40_11]) ).

fof(f_40_13,negated_conjecture,
    ( ( p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK8,tyop_2Emin_2Ebool),sK10),s(tyop_2Emin_2Efun(sK9,tyop_2Emin_2Ebool),sK11))))
      | ~ sP1 )
    & ( ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK8,tyop_2Emin_2Ebool),sK10),s(tyop_2Emin_2Efun(sK9,tyop_2Emin_2Ebool),sK11))))
      | ~ sP1 )
    & ( p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),sK6),s(tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool),sK7))))
      | ~ sP0 )
    & ( ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),sK6),s(tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool),sK7))))
      | ~ sP0 )
    & ( sP1
      | sP0 ) ),
    inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1])],[f_40_12]) ).

cnf(f_40_14,negated_conjecture,
    ( sP1
    | sP0 ),
    inference(clausify,[status(thm)],[f_40_13]) ).

cnf(f_40_15,negated_conjecture,
    ( ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),sK6),s(tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool),sK7))))
    | ~ sP0 ),
    inference(clausify,[status(thm)],[f_40_13]) ).

cnf(f_40_16,negated_conjecture,
    ( p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),sK6),s(tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool),sK7))))
    | ~ sP0 ),
    inference(clausify,[status(thm)],[f_40_13]) ).

cnf(f_40_17,negated_conjecture,
    ( ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK8,tyop_2Emin_2Ebool),sK10),s(tyop_2Emin_2Efun(sK9,tyop_2Emin_2Ebool),sK11))))
    | ~ sP1 ),
    inference(clausify,[status(thm)],[f_40_13]) ).

cnf(f_40_18,negated_conjecture,
    ( p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK8,tyop_2Emin_2Ebool),sK10),s(tyop_2Emin_2Efun(sK9,tyop_2Emin_2Ebool),sK11))))
    | ~ sP1 ),
    inference(clausify,[status(thm)],[f_40_13]) ).

cnf(f_2_4_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_2_4]) ).

cnf(f_2_5_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_2_5]) ).

cnf(f_27_4_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_27_4]) ).

cnf(f_27_5_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_27_5]) ).

cnf(f_28_5_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_28_5]) ).

cnf(f_28_6_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_28_6]) ).

cnf(f_28_7_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_28_7]) ).

cnf(f_28_9_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_28_9]) ).

cnf(f_28_15_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_28_15]) ).

cnf(f_28_16_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_28_16]) ).

cnf(f_28_18_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_28_18]) ).

cnf(f_29_4_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_29_4]) ).

cnf(f_29_5_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_29_5]) ).

cnf(f_33_4_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_33_4]) ).

cnf(f_33_5_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_33_5]) ).

cnf(f_34_3_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_34_3]) ).

cnf(f_35_4_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_35_4]) ).

cnf(f_35_5_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_35_5]) ).

cnf(f_35_6_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_35_6]) ).

cnf(f_35_7_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_35_7]) ).

cnf(f_35_8_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_35_8]) ).

cnf(f_35_9_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_35_9]) ).

cnf(f_35_10_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_35_10]) ).

cnf(f_35_11_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_35_11]) ).

cnf(f_35_12_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_35_12]) ).

cnf(f_36_4_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_36_4]) ).

cnf(f_36_5_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_36_5]) ).

cnf(f_36_6_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_36_6]) ).

cnf(f_36_7_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_36_7]) ).

cnf(f_36_8_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_36_8]) ).

cnf(f_36_9_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_36_9]) ).

cnf(f_37_3_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_37_3]) ).

cnf(f_37_4_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_37_4]) ).

cnf(f_37_5_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_37_5]) ).

cnf(f_37_6_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_37_6]) ).

cnf(f_38_4_simplified,plain,
    ( s(tyop_2Emin_2Ebool,U_181) = s(tyop_2Emin_2Ebool,U_183)
    | p(s(tyop_2Emin_2Ebool,U_179))
    | p(s(tyop_2Emin_2Ebool,U_183))
    | p(s(tyop_2Emin_2Ebool,U_181)) ),
    inference(simplify_clause,[status(thm)],[f_38_4]) ).

cnf(f_38_5_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_5]) ).

cnf(f_38_6_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_6]) ).

cnf(f_38_7_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_7]) ).

cnf(f_38_8_simplified,plain,
    ( s(tyop_2Emin_2Ebool,U_181) = s(tyop_2Emin_2Ebool,U_183)
    | p(s(tyop_2Emin_2Ebool,U_179))
    | ~ p(s(tyop_2Emin_2Ebool,U_181))
    | ~ p(s(tyop_2Emin_2Ebool,U_183)) ),
    inference(simplify_clause,[status(thm)],[f_38_8]) ).

cnf(f_38_9_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_9]) ).

cnf(f_38_10_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_10]) ).

cnf(f_38_11_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_11]) ).

cnf(f_38_12_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_12]) ).

cnf(f_38_13_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_13]) ).

cnf(f_38_14_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_14]) ).

cnf(f_38_15_simplified,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_179))
    | s(tyop_2Emin_2Ebool,U_181) != s(tyop_2Emin_2Ebool,U_183)
    | ~ p(s(tyop_2Emin_2Ebool,U_183))
    | p(s(tyop_2Emin_2Ebool,U_181)) ),
    inference(simplify_clause,[status(thm)],[f_38_15]) ).

cnf(f_38_16_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_16]) ).

cnf(f_38_17_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_17]) ).

cnf(f_38_18_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_18]) ).

cnf(f_38_19_simplified,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_179))
    | s(tyop_2Emin_2Ebool,U_181) != s(tyop_2Emin_2Ebool,U_183)
    | ~ p(s(tyop_2Emin_2Ebool,U_181))
    | p(s(tyop_2Emin_2Ebool,U_183)) ),
    inference(simplify_clause,[status(thm)],[f_38_19]) ).

cnf(f_38_20_simplified,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184) ),
    inference(simplify_clause,[status(thm)],[f_38_20]) ).

cnf(f_38_21_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_21]) ).

cnf(f_38_22_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_22]) ).

cnf(f_38_23_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_23]) ).

cnf(f_38_24_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_24]) ).

cnf(f_38_25_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_25]) ).

cnf(f_38_26_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_26]) ).

cnf(f_38_27_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_27]) ).

cnf(f_38_28_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_28]) ).

cnf(f_38_29_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_29]) ).

cnf(f_38_30_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_30]) ).

cnf(f_38_31_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_31]) ).

cnf(f_38_32_simplified,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_184))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184) ),
    inference(simplify_clause,[status(thm)],[f_38_32]) ).

cnf(f_38_33_simplified,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184) ),
    inference(simplify_clause,[status(thm)],[f_38_33]) ).

cnf(f_38_34_simplified,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184) ),
    inference(simplify_clause,[status(thm)],[f_38_34]) ).

cnf(f_38_35_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_35]) ).

cnf(f_38_36_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_36]) ).

cnf(f_38_37_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_37]) ).

cnf(f_38_38_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_38]) ).

cnf(f_38_39_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_39]) ).

cnf(f_38_40_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_40]) ).

cnf(f_38_41_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_41]) ).

cnf(f_38_42_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_42]) ).

cnf(f_38_43_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_43]) ).

cnf(f_38_44_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_44]) ).

cnf(f_38_45_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_45]) ).

cnf(f_38_46_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_46]) ).

cnf(f_38_47_simplified,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184) ),
    inference(simplify_clause,[status(thm)],[f_38_47]) ).

cnf(f_38_48_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_48]) ).

cnf(f_38_49_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_49]) ).

cnf(f_38_50_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_50]) ).

cnf(f_38_51_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_51]) ).

cnf(f_38_52_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_52]) ).

cnf(f_38_53_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_53]) ).

cnf(f_38_54_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_54]) ).

cnf(f_38_55_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_55]) ).

cnf(f_38_56_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_56]) ).

cnf(f_38_57_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_57]) ).

cnf(f_38_58_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_58]) ).

cnf(f_38_59_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_59]) ).

cnf(f_38_60_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_60]) ).

cnf(f_38_61_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_61]) ).

cnf(f_38_62_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_62]) ).

cnf(f_38_63_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_63]) ).

cnf(f_38_64_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_64]) ).

cnf(f_38_65_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_65]) ).

cnf(f_38_66_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_66]) ).

cnf(f_38_67_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_67]) ).

cnf(f_38_68_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_68]) ).

cnf(f_38_69_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_69]) ).

cnf(f_38_70_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_70]) ).

cnf(f_38_71_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_71]) ).

cnf(f_38_72_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_72]) ).

cnf(f_38_73_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_73]) ).

cnf(f_38_74_simplified,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | s(tyop_2Emin_2Ebool,U_182) = s(tyop_2Emin_2Ebool,U_184) ),
    inference(simplify_clause,[status(thm)],[f_38_74]) ).

cnf(f_38_75_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_75]) ).

cnf(f_38_76_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_76]) ).

cnf(f_38_77_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_77]) ).

cnf(f_38_78_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_78]) ).

cnf(f_38_79_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_79]) ).

cnf(f_38_80_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_80]) ).

cnf(f_38_81_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_81]) ).

cnf(f_38_82_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_82]) ).

cnf(f_38_83_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_83]) ).

cnf(f_38_84_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_84]) ).

cnf(f_38_85_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_85]) ).

cnf(f_38_86_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_86]) ).

cnf(f_38_87_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_87]) ).

cnf(f_38_88_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_88]) ).

cnf(f_38_89_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_89]) ).

cnf(f_38_90_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_90]) ).

cnf(f_38_91_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_91]) ).

cnf(f_38_92_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_92]) ).

cnf(f_38_93_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_93]) ).

cnf(f_38_94_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_94]) ).

cnf(f_38_95_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_95]) ).

cnf(f_38_96_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_96]) ).

cnf(f_38_97_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_97]) ).

cnf(f_38_98_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_98]) ).

cnf(f_38_99_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_99]) ).

cnf(f_38_100_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_100]) ).

cnf(f_38_101_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_101]) ).

cnf(f_38_102_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_102]) ).

cnf(f_38_103_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_103]) ).

cnf(f_38_104_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_104]) ).

cnf(f_38_105_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_105]) ).

cnf(f_38_106_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_106]) ).

cnf(f_38_107_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_107]) ).

cnf(f_38_108_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_108]) ).

cnf(f_38_109_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_109]) ).

cnf(f_38_110_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_110]) ).

cnf(f_38_111_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_111]) ).

cnf(f_38_112_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_112]) ).

cnf(f_38_113_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_113]) ).

cnf(f_38_114_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_114]) ).

cnf(f_38_115_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_115]) ).

cnf(f_38_116_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_116]) ).

cnf(f_38_117_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_117]) ).

cnf(f_38_118_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_118]) ).

cnf(f_38_119_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_119]) ).

cnf(f_38_120_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_120]) ).

cnf(f_38_121_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_121]) ).

cnf(f_38_122_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_122]) ).

cnf(f_38_123_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_123]) ).

cnf(f_38_124_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_124]) ).

cnf(f_38_125_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_125]) ).

cnf(f_38_126_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_126]) ).

cnf(f_38_127_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_127]) ).

cnf(f_38_128_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_128]) ).

cnf(f_38_129_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_129]) ).

cnf(f_38_130_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_130]) ).

cnf(f_38_131_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_131]) ).

cnf(f_38_132_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_132]) ).

cnf(f_38_133_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_133]) ).

cnf(f_38_134_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_134]) ).

cnf(f_38_135_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_135]) ).

cnf(f_38_136_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_136]) ).

cnf(f_38_137_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_137]) ).

cnf(f_38_138_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_138]) ).

cnf(f_38_139_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_139]) ).

cnf(f_38_140_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_140]) ).

cnf(f_38_141_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_141]) ).

cnf(f_38_142_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_142]) ).

cnf(f_38_143_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_143]) ).

cnf(f_38_144_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_144]) ).

cnf(f_38_145_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_145]) ).

cnf(f_38_146_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_146]) ).

cnf(f_38_147_simplified,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(simplify_clause,[status(thm)],[f_38_147]) ).

cnf(f_38_148_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_148]) ).

cnf(f_38_149_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_149]) ).

cnf(f_38_150_simplified,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(simplify_clause,[status(thm)],[f_38_150]) ).

cnf(f_38_151_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_151]) ).

cnf(f_38_152_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_152]) ).

cnf(f_38_153_simplified,plain,
    ( p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_182))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(simplify_clause,[status(thm)],[f_38_153]) ).

cnf(f_38_154_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_154]) ).

cnf(f_38_155_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_155]) ).

cnf(f_38_156_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_156]) ).

cnf(f_38_157_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_157]) ).

cnf(f_38_158_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_158]) ).

cnf(f_38_159_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_159]) ).

cnf(f_38_160_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_160]) ).

cnf(f_38_161_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_161]) ).

cnf(f_38_162_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_162]) ).

cnf(f_38_163_simplified,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(simplify_clause,[status(thm)],[f_38_163]) ).

cnf(f_38_164_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_164]) ).

cnf(f_38_165_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_165]) ).

cnf(f_38_166_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_166]) ).

cnf(f_38_167_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_167]) ).

cnf(f_38_168_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_168]) ).

cnf(f_38_169_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_169]) ).

cnf(f_38_170_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_170]) ).

cnf(f_38_171_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_171]) ).

cnf(f_38_172_simplified,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(simplify_clause,[status(thm)],[f_38_172]) ).

cnf(f_38_173_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_173]) ).

cnf(f_38_174_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_174]) ).

cnf(f_38_175_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_175]) ).

cnf(f_38_176_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_176]) ).

cnf(f_38_177_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_177]) ).

cnf(f_38_178_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_178]) ).

cnf(f_38_179_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_179]) ).

cnf(f_38_180_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_38_180]) ).

cnf(f_38_181_simplified,plain,
    ( p(s(tyop_2Emin_2Ebool,U_182))
    | p(s(tyop_2Emin_2Ebool,U_180))
    | ~ p(s(tyop_2Emin_2Ebool,U_184))
    | s(tyop_2Emin_2Ebool,U_182) != s(tyop_2Emin_2Ebool,U_184) ),
    inference(simplify_clause,[status(thm)],[f_38_181]) ).

cnf(f_39_4_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_39_4]) ).

cnf(f_39_5_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_39_5]) ).

cnf(f_39_6_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_39_6]) ).

cnf(f_39_7_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_39_7]) ).

cnf(f_39_8_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_39_8]) ).

cnf(f_39_9_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_39_9]) ).

cnf(f_39_10_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_39_10]) ).

cnf(f_39_11_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_39_11]) ).

cnf(f_39_12_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_39_12]) ).

cnf(f_39_13_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_39_13]) ).

cnf(f_39_14_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_39_14]) ).

cnf(f_39_15_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_39_15]) ).

cnf(f_39_16_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_39_16]) ).

cnf(f_39_17_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_39_17]) ).

cnf(f_39_18_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_39_18]) ).

cnf(f_39_19_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_39_19]) ).

cnf(equality_1,axiom,
    Eq_x_0 = Eq_x_0,
    theory(equality,[reflexivity]) ).

cnf(equality_2,axiom,
    ( Eq_x_1 = Eq_x_0
    | Eq_x_0 != Eq_x_1 ),
    theory(equality,[symmetry]) ).

cnf(equality_3,axiom,
    ( Eq_x_0 = Eq_x_2
    | Eq_x_1 != Eq_x_2
    | Eq_x_0 != Eq_x_1 ),
    theory(equality,[transitivity]) ).

cnf(equality_4,axiom,
    ( tyop_2Emin_2Efun(Eq_x_0,Eq_x_1) = tyop_2Emin_2Efun(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_5,axiom,
    ( s(Eq_x_0,Eq_x_1) = s(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_6,axiom,
    ( app_2E2(Eq_x_0,Eq_x_1) = app_2E2(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_7,axiom,
    ( c_2Ebool_2E_2F_5C_2E2(Eq_x_0,Eq_x_1) = c_2Ebool_2E_2F_5C_2E2(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_8,axiom,
    ( c_2Ebool_2E_5C_2F_2E2(Eq_x_0,Eq_x_1) = c_2Ebool_2E_5C_2F_2E2(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_9,axiom,
    ( c_2Ebool_2E_7E_2E1(Eq_x_0) = c_2Ebool_2E_7E_2E1(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_10,axiom,
    ( c_2Emin_2E_3D_3D_3E_2E2(Eq_x_0,Eq_x_1) = c_2Emin_2E_3D_3D_3E_2E2(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_11,axiom,
    ( c_2Emin_2E_3D_2E2(Eq_x_0,Eq_x_1) = c_2Emin_2E_3D_2E2(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_12,axiom,
    ( c_2Ebool_2E_21_2E1(Eq_x_0) = c_2Ebool_2E_21_2E1(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_13,axiom,
    ( c_2Ebool_2E_3F_2E1(Eq_x_0) = c_2Ebool_2E_3F_2E1(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_14,axiom,
    ( c_2Ecardinal_2Ecardleq_2E2(Eq_x_0,Eq_x_1) = c_2Ecardinal_2Ecardleq_2E2(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_15,axiom,
    ( sK1(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK1(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_16,axiom,
    ( sK2(Eq_x_0,Eq_x_1) = sK2(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_17,axiom,
    ( sK3(Eq_x_0,Eq_x_1) = sK3(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_18,axiom,
    ( p(Eq_y_0)
    | ~ p(Eq_x_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(sat_proved,plain,
    $false,
    inference(cadical,[status(thm)],[]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : ITP010+1 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.03  This is a FOF_THM_RFO_SEQ problem
% 0.00/0.04  % Command  : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37  % Computer : n009.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Sat Sep 19 11:21:56 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.21/0.52  % SZS status Theorem for theBenchmark
% 0.21/0.52  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------