%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : ITP001+4 : 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 : n011.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 08:45:18 AM UTC 2026
% Result : Theorem 0.44s 0.71s
% Output : Proof 0.44s
% 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('ITP002+4.ax',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('ITP002+4.ax',reserved_2Eho_2Eboolext) ).
fof(reserved_2Eho_2Etruth,axiom,
p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
file('ITP002+4.ax',reserved_2Eho_2Etruth) ).
fof(reserved_2Eho_2Enotfalse,axiom,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
file('ITP002+4.ax',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('ITP002+4.ax',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('ITP002+4.ax',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('ITP002+4.ax',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('ITP002+4.ax',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('ITP002+4.ax',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('ITP002+4.ax',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('ITP002+4.ax',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('ITP002+4.ax',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('ITP002+4.ax',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('ITP002+4.ax',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('ITP002+4.ax',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('ITP002+4.ax',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('ITP002+4.ax',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('ITP002+4.ax',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('ITP002+4.ax',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('ITP002+4.ax',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('ITP002+4.ax',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('ITP002+4.ax',arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a) ).
fof(reserved_2Eho_2Eeq__ext_001,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_002,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_003,axiom,
p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
file('theBenchmark.p',reserved_2Eho_2Etruth) ).
fof(reserved_2Eho_2Enotfalse_004,axiom,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
file('theBenchmark.p',reserved_2Eho_2Enotfalse) ).
fof(reserved_2Eho_2Ebool__cases__ax_005,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_006,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_007,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_008,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_009,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_010,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_011,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_012,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_013,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_014,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_015,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_016,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_017,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_018,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_019,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_020,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_021,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_022,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(arityeq1_2Ec_2Ebool_2E_3F_21_2E1_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_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_3F_21_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))),
file('theBenchmark.p',arityeq1_2Ec_2Ebool_2E_3F_21_2E1_2Emono_2EA_27a) ).
fof(arityeq1_2Ec_2Emin_2E_40_2E1_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0] : s(A_27a,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))) = s(A_27a,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),A_27a),c_2Emin_2E_40_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))),
file('theBenchmark.p',arityeq1_2Ec_2Emin_2E_40_2E1_2Emono_2EA_27a) ).
fof(arityeq1_2Ec_2Ebool_2EBOUNDED_2E1,axiom,
! [X0_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2EBOUNDED_2E1(s(tyop_2Emin_2Ebool,X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2EBOUNDED_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),
file('theBenchmark.p',arityeq1_2Ec_2Ebool_2EBOUNDED_2E1) ).
fof(arityeq1_2Ec_2Ebool_2EDATATYPE_2E1_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2EDATATYPE_2E1(s(A_27a,X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),c_2Ebool_2EDATATYPE_2E0),s(A_27a,X0_2E0))),
file('theBenchmark.p',arityeq1_2Ec_2Ebool_2EDATATYPE_2E1_2Emono_2EA_27a) ).
fof(arityeq1_2Ec_2Ebool_2EONE__ONE_2E1_2Emono_2EA_27a_20mono_2EA_27b,axiom,
! [A_27a,A_27b,X0_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2EONE__ONE_2E1(s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Ebool),c_2Ebool_2EONE__ONE_2E0),s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0))),
file('theBenchmark.p',arityeq1_2Ec_2Ebool_2EONE__ONE_2E1_2Emono_2EA_27a_20mono_2EA_27b) ).
fof(arityeq1_2Ec_2Ebool_2EONE__ONE_2E1_2Emono_2Etyop_2Emin_2Eind_20mono_2Etyop_2Emin_2Eind,axiom,
! [X0_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2EONE__ONE_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),tyop_2Emin_2Ebool),c_2Ebool_2EONE__ONE_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),X0_2E0))),
file('theBenchmark.p',arityeq1_2Ec_2Ebool_2EONE__ONE_2E1_2Emono_2Etyop_2Emin_2Eind_20mono_2Etyop_2Emin_2Eind) ).
fof(arityeq1_2Ec_2Ebool_2EONTO_2E1_2Emono_2EA_27a_20mono_2EA_27b,axiom,
! [A_27a,A_27b,X0_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2EONTO_2E1(s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Ebool),c_2Ebool_2EONTO_2E0),s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0))),
file('theBenchmark.p',arityeq1_2Ec_2Ebool_2EONTO_2E1_2Emono_2EA_27a_20mono_2EA_27b) ).
fof(arityeq1_2Ec_2Ebool_2EONTO_2E1_2Emono_2Etyop_2Emin_2Eind_20mono_2Etyop_2Emin_2Eind,axiom,
! [X0_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2EONTO_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),tyop_2Emin_2Ebool),c_2Ebool_2EONTO_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),X0_2E0))),
file('theBenchmark.p',arityeq1_2Ec_2Ebool_2EONTO_2E1_2Emono_2Etyop_2Emin_2Eind_20mono_2Etyop_2Emin_2Eind) ).
fof(arityeq2_2Ec_2Ebool_2EIN_2E2_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,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(A_27a,tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ebool_2EIN_2E0),s(A_27a,X0_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))),
file('theBenchmark.p',arityeq2_2Ec_2Ebool_2EIN_2E2_2Emono_2EA_27a) ).
fof(arityeq2_2Ec_2Ebool_2ELET_2E2_2Emono_2EA_27a_20mono_2EA_27b,axiom,
! [A_27a,A_27b,X0_2E0,X1_2E0] : s(A_27b,c_2Ebool_2ELET_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0),s(A_27a,X1_2E0))) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27b)),c_2Ebool_2ELET_2E0),s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0))),s(A_27a,X1_2E0))),
file('theBenchmark.p',arityeq2_2Ec_2Ebool_2ELET_2E2_2Emono_2EA_27a_20mono_2EA_27b) ).
fof(arityeq2_2Ec_2Ebool_2ERES__EXISTS_2E2_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(A_27a,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_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ebool_2ERES__EXISTS_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))),
file('theBenchmark.p',arityeq2_2Ec_2Ebool_2ERES__EXISTS_2E2_2Emono_2EA_27a) ).
fof(arityeq2_2Ec_2Ebool_2ERES__EXISTS__UNIQUE_2E2_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(A_27a,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_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ebool_2ERES__EXISTS__UNIQUE_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))),
file('theBenchmark.p',arityeq2_2Ec_2Ebool_2ERES__EXISTS__UNIQUE_2E2_2Emono_2EA_27a) ).
fof(arityeq2_2Ec_2Ebool_2ERES__FORALL_2E2_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(A_27a,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_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ebool_2ERES__FORALL_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))),
file('theBenchmark.p',arityeq2_2Ec_2Ebool_2ERES__FORALL_2E2_2Emono_2EA_27a) ).
fof(arityeq2_2Ec_2Ebool_2ERES__SELECT_2E2_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0,X1_2E0] : s(A_27a,c_2Ebool_2ERES__SELECT_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))) = s(A_27a,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),A_27a),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),A_27a)),c_2Ebool_2ERES__SELECT_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))),
file('theBenchmark.p',arityeq2_2Ec_2Ebool_2ERES__SELECT_2E2_2Emono_2EA_27a) ).
fof(arityeq2_2Ec_2Ebool_2ETYPE__DEFINITION_2E2_2Emono_2EA_27a_20mono_2EA_27b,axiom,
! [A_27a,A_27b,X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2ETYPE__DEFINITION_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Emin_2Efun(A_27b,A_27a),X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,A_27a),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,A_27a),tyop_2Emin_2Ebool)),c_2Ebool_2ETYPE__DEFINITION_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(A_27b,A_27a),X1_2E0))),
file('theBenchmark.p',arityeq2_2Ec_2Ebool_2ETYPE__DEFINITION_2E2_2Emono_2EA_27a_20mono_2EA_27b) ).
fof(arityeq2_2Ec_2Ebool_2Eliteral__case_2E2_2Emono_2EA_27a_20mono_2EA_27b,axiom,
! [A_27a,A_27b,X0_2E0,X1_2E0] : s(A_27b,c_2Ebool_2Eliteral__case_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0),s(A_27a,X1_2E0))) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27b)),c_2Ebool_2Eliteral__case_2E0),s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0))),s(A_27a,X1_2E0))),
file('theBenchmark.p',arityeq2_2Ec_2Ebool_2Eliteral__case_2E2_2Emono_2EA_27a_20mono_2EA_27b) ).
fof(arityeq3_2Ec_2Ebool_2ECOND_2E3_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0,X1_2E0,X2_2E0] : s(A_27a,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X0_2E0),s(A_27a,X1_2E0),s(A_27a,X2_2E0))) = s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27a),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,A_27a)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,A_27a))),c_2Ebool_2ECOND_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(A_27a,X1_2E0))),s(A_27a,X2_2E0))),
file('theBenchmark.p',arityeq3_2Ec_2Ebool_2ECOND_2E3_2Emono_2EA_27a) ).
fof(thm_2Ebool_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',thm_2Ebool_2EBOOL__CASES__AX) ).
fof(thm_2Ebool_2EETA__AX,axiom,
! [A_27a,A_27b,V0M_2E0,V1x_2E0] : s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0M_2E0),s(A_27a,V1x_2E0))) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0M_2E0),s(A_27a,V1x_2E0))),
file('theBenchmark.p',thm_2Ebool_2EETA__AX) ).
fof(thm_2Ebool_2ESELECT__AX,axiom,
! [A_27a,V0P_2E0,V1x_2E0] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0P_2E0),s(A_27a,V1x_2E0))))
=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0P_2E0),s(A_27a,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0P_2E0)))))) ),
file('theBenchmark.p',thm_2Ebool_2ESELECT__AX) ).
fof(thm_2Ebool_2EINFINITY__AX,axiom,
? [V0f_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONTO_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),V0f_2E0))))
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONE__ONE_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),V0f_2E0)))) ),
file('theBenchmark.p',thm_2Ebool_2EINFINITY__AX) ).
fof(thm_2Ebool_2ET__DEF,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
<=> ! [V0x_2E0] : s(tyop_2Emin_2Ebool,V0x_2E0) = s(tyop_2Emin_2Ebool,V0x_2E0) ),
file('theBenchmark.p',thm_2Ebool_2ET__DEF) ).
fof(thm_2Ebool_2EFORALL__DEF,axiom,
! [A_27a,V0x_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0))))
<=> ! [V1x_2E0] : s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(A_27a,V1x_2E0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
file('theBenchmark.p',thm_2Ebool_2EFORALL__DEF) ).
fof(thm_2Ebool_2EEXISTS__DEF,axiom,
! [A_27a,V0x_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(A_27a,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0))))),
file('theBenchmark.p',thm_2Ebool_2EEXISTS__DEF) ).
fof(thm_2Ebool_2EAND__DEF,axiom,
! [V0x_2E0,V1x_27_2E0] :
( ( p(s(tyop_2Emin_2Ebool,V1x_27_2E0))
& p(s(tyop_2Emin_2Ebool,V0x_2E0)) )
<=> ! [V2t_2E0] :
( ( p(s(tyop_2Emin_2Ebool,V0x_2E0))
=> ( p(s(tyop_2Emin_2Ebool,V1x_27_2E0))
=> p(s(tyop_2Emin_2Ebool,V2t_2E0)) ) )
=> p(s(tyop_2Emin_2Ebool,V2t_2E0)) ) ),
file('theBenchmark.p',thm_2Ebool_2EAND__DEF) ).
fof(thm_2Ebool_2EOR__DEF,axiom,
! [V0x_2E0,V1x_27_2E0] :
( ( p(s(tyop_2Emin_2Ebool,V1x_27_2E0))
| p(s(tyop_2Emin_2Ebool,V0x_2E0)) )
<=> ! [V2t_2E0] :
( ( p(s(tyop_2Emin_2Ebool,V0x_2E0))
=> p(s(tyop_2Emin_2Ebool,V2t_2E0)) )
=> ( ( p(s(tyop_2Emin_2Ebool,V1x_27_2E0))
=> p(s(tyop_2Emin_2Ebool,V2t_2E0)) )
=> p(s(tyop_2Emin_2Ebool,V2t_2E0)) ) ) ),
file('theBenchmark.p',thm_2Ebool_2EOR__DEF) ).
fof(thm_2Ebool_2EF__DEF,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
<=> ! [V0t_2E0] : p(s(tyop_2Emin_2Ebool,V0t_2E0)) ),
file('theBenchmark.p',thm_2Ebool_2EF__DEF) ).
fof(thm_2Ebool_2ENOT__DEF,axiom,
! [V0x_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,V0x_2E0))
<=> ( p(s(tyop_2Emin_2Ebool,V0x_2E0))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ) ),
file('theBenchmark.p',thm_2Ebool_2ENOT__DEF) ).
fof(thm_2Ebool_2EEXISTS__UNIQUE__DEF,axiom,
! [A_27a,V0x_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0))))
<=> ( ! [V1x_2E0,V2y_2E0] :
( ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(A_27a,V2y_2E0))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(A_27a,V1x_2E0)))) )
=> s(A_27a,V1x_2E0) = s(A_27a,V2y_2E0) )
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0)))) ) ),
file('theBenchmark.p',thm_2Ebool_2EEXISTS__UNIQUE__DEF) ).
fof(thm_2Ebool_2ELET__DEF,axiom,
! [A_27a,A_27b,V0x_2E0,V1x_27_2E0] : s(A_27b,c_2Ebool_2ELET_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0),s(A_27a,V1x_27_2E0))) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0),s(A_27a,V1x_27_2E0))),
file('theBenchmark.p',thm_2Ebool_2ELET__DEF) ).
fof(thm_2Ebool_2ECOND__DEF,axiom,
! [A_27a,F0_2E0] :
( ! [V0x_2E0,V1x_27_2E0,V2x_27_27_2E0,V3x_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)),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)))),F0_2E0),s(tyop_2Emin_2Ebool,V0x_2E0))),s(A_27a,V1x_27_2E0))),s(A_27a,V2x_27_27_2E0))),s(A_27a,V3x_2E0))))
<=> ( ( s(tyop_2Emin_2Ebool,V0x_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
=> s(A_27a,V3x_2E0) = s(A_27a,V2x_27_27_2E0) )
& ( s(tyop_2Emin_2Ebool,V0x_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
=> s(A_27a,V3x_2E0) = s(A_27a,V1x_27_2E0) ) ) )
=> ! [V0x_2E0,V1x_27_2E0,V2x_27_27_2E0] : s(A_27a,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,V0x_2E0),s(A_27a,V1x_27_2E0),s(A_27a,V2x_27_27_2E0))) = s(A_27a,c_2Emin_2E_40_2E1(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)),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)))),F0_2E0),s(tyop_2Emin_2Ebool,V0x_2E0))),s(A_27a,V1x_27_2E0))),s(A_27a,V2x_27_27_2E0))))) ),
file('theBenchmark.p',thm_2Ebool_2ECOND__DEF) ).
fof(thm_2Ebool_2EONE__ONE__DEF,axiom,
! [A_27a,A_27b,V0x_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONE__ONE_2E1(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0))))
<=> ! [V1x1_2E0,V2x2_2E0] :
( s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0),s(A_27a,V1x1_2E0))) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0),s(A_27a,V2x2_2E0)))
=> s(A_27a,V1x1_2E0) = s(A_27a,V2x2_2E0) ) ),
file('theBenchmark.p',thm_2Ebool_2EONE__ONE__DEF) ).
fof(thm_2Ebool_2EONTO__DEF,axiom,
! [A_27a,A_27b,V0x_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONTO_2E1(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0))))
<=> ! [V1y_2E0] :
? [V2x_2E0] : s(A_27b,V1y_2E0) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0),s(A_27a,V2x_2E0))) ),
file('theBenchmark.p',thm_2Ebool_2EONTO__DEF) ).
fof(thm_2Ebool_2ETYPE__DEFINITION,axiom,
! [A_27a,A_27b,V0x_2E0,V1x_27_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ETYPE__DEFINITION_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(tyop_2Emin_2Efun(A_27b,A_27a),V1x_27_2E0))))
<=> ( ! [V4x_2E0] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(A_27a,V4x_2E0))))
<=> ? [V5x_27_2E0] : s(A_27a,V4x_2E0) = s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27a),V1x_27_2E0),s(A_27b,V5x_27_2E0))) )
& ! [V2x_27_2E0,V3x_27_27_2E0] :
( s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27a),V1x_27_2E0),s(A_27b,V2x_27_2E0))) = s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27a),V1x_27_2E0),s(A_27b,V3x_27_27_2E0)))
=> s(A_27b,V2x_27_2E0) = s(A_27b,V3x_27_27_2E0) ) ) ),
file('theBenchmark.p',thm_2Ebool_2ETYPE__DEFINITION) ).
fof(thm_2Ebool_2Eliteral__case__DEF,axiom,
! [A_27a,A_27b,V0x_2E0,V1x_27_2E0] : s(A_27b,c_2Ebool_2Eliteral__case_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0),s(A_27a,V1x_27_2E0))) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0),s(A_27a,V1x_27_2E0))),
file('theBenchmark.p',thm_2Ebool_2Eliteral__case__DEF) ).
fof(thm_2Ebool_2EIN__DEF,axiom,
! [A_27a,V0x_2E0,V1x_27_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,V0x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0),s(A_27a,V0x_2E0))),
file('theBenchmark.p',thm_2Ebool_2EIN__DEF) ).
fof(thm_2Ebool_2ERES__FORALL__DEF,axiom,
! [A_27a,V0x_2E0,V1x_27_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0))))
<=> ! [V2x_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,V2x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0))))
=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0),s(A_27a,V2x_2E0)))) ) ),
file('theBenchmark.p',thm_2Ebool_2ERES__FORALL__DEF) ).
fof(thm_2Ebool_2ERES__EXISTS__DEF,axiom,
! [A_27a,V0x_2E0,V1x_27_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0))))
<=> ? [V2x_2E0] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0),s(A_27a,V2x_2E0))))
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,V2x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0)))) ) ),
file('theBenchmark.p',thm_2Ebool_2ERES__EXISTS__DEF) ).
fof(thm_2Ebool_2ERES__EXISTS__UNIQUE__DEF,axiom,
! [A_27a,F2_2E0,F1_2E0,F0_2E0] :
( ! [V1x_27_2E0,V3x_2E0,V4y_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)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool))),F2_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0))),s(A_27a,V3x_2E0))),s(A_27a,V4y_2E0))))
<=> ( ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0),s(A_27a,V4y_2E0))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0),s(A_27a,V3x_2E0)))) )
=> s(A_27a,V3x_2E0) = s(A_27a,V4y_2E0) ) )
=> ( ! [V0x_2E0,V1x_27_2E0,V3x_2E0] : s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool))),F1_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0))),s(A_27a,V3x_2E0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),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)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool))),F2_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0))),s(A_27a,V3x_2E0)))))
=> ( ! [V1x_27_2E0,V2x_2E0] : s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),F0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0))),s(A_27a,V2x_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0),s(A_27a,V2x_2E0)))
=> ! [V0x_2E0,V1x_27_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0))))
<=> ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool))),F1_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0))))))
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),F0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0)))))) ) ) ) ) ),
file('theBenchmark.p',thm_2Ebool_2ERES__EXISTS__UNIQUE__DEF) ).
fof(thm_2Ebool_2ERES__SELECT__DEF,axiom,
! [A_27a,F0_2E0] :
( ! [V0x_2E0,V1x_27_2E0,V2x_2E0] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool))),F0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0))),s(A_27a,V2x_2E0))))
<=> ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0),s(A_27a,V2x_2E0))))
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,V2x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0)))) ) )
=> ! [V0x_2E0,V1x_27_2E0] : s(A_27a,c_2Ebool_2ERES__SELECT_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0))) = s(A_27a,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool))),F0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0))))) ),
file('theBenchmark.p',thm_2Ebool_2ERES__SELECT__DEF) ).
fof(thm_2Ebool_2EBOUNDED__DEF,axiom,
! [V0x_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2EBOUNDED_2E1(s(tyop_2Emin_2Ebool,V0x_2E0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),
file('theBenchmark.p',thm_2Ebool_2EBOUNDED__DEF) ).
fof(thm_2Ebool_2EDATATYPE__TAG__DEF,axiom,
! [A_27a,V0x_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2EDATATYPE_2E1(s(A_27a,V0x_2E0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),
file('theBenchmark.p',thm_2Ebool_2EDATATYPE__TAG__DEF) ).
fof(thm_2Ebool_2ETRUTH,conjecture,
p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
file('theBenchmark.p',thm_2Ebool_2ETRUTH) ).
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,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_23_2,plain,
! [U_104,U_103,U_102,U_101] :
( s(tyop_2Emin_2Efun(U_104,U_103),U_102) = s(tyop_2Emin_2Efun(U_104,U_103),U_101)
| ? [U_100] : s(U_103,app_2E2(s(tyop_2Emin_2Efun(U_104,U_103),U_102),s(U_104,U_100))) != s(U_103,app_2E2(s(tyop_2Emin_2Efun(U_104,U_103),U_101),s(U_104,U_100))) ),
inference(variable_rename,[status(thm)],[f_23_1]) ).
fof(f_23_3,plain,
! [U_104,U_103,U_102,U_101] :
( s(tyop_2Emin_2Efun(U_104,U_103),U_102) = s(tyop_2Emin_2Efun(U_104,U_103),U_101)
| s(U_103,app_2E2(s(tyop_2Emin_2Efun(U_104,U_103),U_102),s(U_104,sK4(U_104,U_103,U_102,U_101)))) != s(U_103,app_2E2(s(tyop_2Emin_2Efun(U_104,U_103),U_101),s(U_104,sK4(U_104,U_103,U_102,U_101)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_100,sK4(U_104,U_103,U_102,U_101))],[f_23_2]) ).
cnf(f_23_4,plain,
( s(tyop_2Emin_2Efun(U_104,U_103),U_102) = s(tyop_2Emin_2Efun(U_104,U_103),U_101)
| s(U_103,app_2E2(s(tyop_2Emin_2Efun(U_104,U_103),U_102),s(U_104,sK4(U_104,U_103,U_102,U_101)))) != s(U_103,app_2E2(s(tyop_2Emin_2Efun(U_104,U_103),U_101),s(U_104,sK4(U_104,U_103,U_102,U_101)))) ),
inference(clausify,[status(thm)],[f_23_3]) ).
fof(f_24_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_24_2,plain,
! [U_106,U_105] :
( s(tyop_2Emin_2Ebool,U_106) = s(tyop_2Emin_2Ebool,U_105)
| ( ~ p(s(tyop_2Emin_2Ebool,U_106))
& p(s(tyop_2Emin_2Ebool,U_105)) )
| ( ~ p(s(tyop_2Emin_2Ebool,U_105))
& p(s(tyop_2Emin_2Ebool,U_106)) ) ),
inference(variable_rename,[status(thm)],[f_24_1]) ).
cnf(f_24_3,plain,
( p(s(tyop_2Emin_2Ebool,U_105))
| p(s(tyop_2Emin_2Ebool,U_106))
| s(tyop_2Emin_2Ebool,U_106) = s(tyop_2Emin_2Ebool,U_105) ),
inference(clausify,[status(thm)],[f_24_2]) ).
cnf(f_24_4,plain,
( ~ p(s(tyop_2Emin_2Ebool,U_106))
| p(s(tyop_2Emin_2Ebool,U_106))
| s(tyop_2Emin_2Ebool,U_106) = s(tyop_2Emin_2Ebool,U_105) ),
inference(clausify,[status(thm)],[f_24_2]) ).
cnf(f_24_5,plain,
( p(s(tyop_2Emin_2Ebool,U_105))
| ~ p(s(tyop_2Emin_2Ebool,U_105))
| s(tyop_2Emin_2Ebool,U_106) = s(tyop_2Emin_2Ebool,U_105) ),
inference(clausify,[status(thm)],[f_24_2]) ).
cnf(f_24_6,plain,
( ~ p(s(tyop_2Emin_2Ebool,U_106))
| ~ p(s(tyop_2Emin_2Ebool,U_105))
| s(tyop_2Emin_2Ebool,U_106) = s(tyop_2Emin_2Ebool,U_105) ),
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)],[reserved_2Eho_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,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
inference(fof_nnf,[status(thm)],[reserved_2Eho_2Enotfalse]) ).
cnf(f_26_2,plain,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
inference(clausify,[status(thm)],[f_26_1]) ).
fof(f_27_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_27_2,plain,
! [U_107] :
( s(tyop_2Emin_2Ebool,U_107) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| s(tyop_2Emin_2Ebool,U_107) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
inference(variable_rename,[status(thm)],[f_27_1]) ).
cnf(f_27_3,plain,
( s(tyop_2Emin_2Ebool,U_107) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| s(tyop_2Emin_2Ebool,U_107) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
inference(clausify,[status(thm)],[f_27_2]) ).
fof(f_28_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_28_2,plain,
! [U_109,U_108] : s(U_109,app_2E2(s(tyop_2Emin_2Efun(U_109,U_109),combin_i_2E0),s(U_109,U_108))) = s(U_109,U_108),
inference(variable_rename,[status(thm)],[f_28_1]) ).
cnf(f_28_3,plain,
s(U_109,app_2E2(s(tyop_2Emin_2Efun(U_109,U_109),combin_i_2E0),s(U_109,U_108))) = s(U_109,U_108),
inference(clausify,[status(thm)],[f_28_2]) ).
fof(f_29_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_29_2,plain,
! [U_113,U_112,U_111,U_110] : s(U_113,app_2E2(s(tyop_2Emin_2Efun(U_112,U_113),app_2E2(s(tyop_2Emin_2Efun(U_113,tyop_2Emin_2Efun(U_112,U_113)),combin_k_2E0),s(U_113,U_111))),s(U_112,U_110))) = s(U_113,U_111),
inference(variable_rename,[status(thm)],[f_29_1]) ).
cnf(f_29_3,plain,
s(U_113,app_2E2(s(tyop_2Emin_2Efun(U_112,U_113),app_2E2(s(tyop_2Emin_2Efun(U_113,tyop_2Emin_2Efun(U_112,U_113)),combin_k_2E0),s(U_113,U_111))),s(U_112,U_110))) = s(U_113,U_111),
inference(clausify,[status(thm)],[f_29_2]) ).
fof(f_30_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_30_2,plain,
! [U_119,U_118,U_117,U_116,U_115,U_114] : s(U_117,app_2E2(s(tyop_2Emin_2Efun(U_119,U_117),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_119,U_118),tyop_2Emin_2Efun(U_119,U_117)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_119,tyop_2Emin_2Efun(U_118,U_117)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_119,U_118),tyop_2Emin_2Efun(U_119,U_117))),combin_s_2E0),s(tyop_2Emin_2Efun(U_119,tyop_2Emin_2Efun(U_118,U_117)),U_116))),s(tyop_2Emin_2Efun(U_119,U_118),U_115))),s(U_119,U_114))) = s(U_117,app_2E2(s(tyop_2Emin_2Efun(U_118,U_117),app_2E2(s(tyop_2Emin_2Efun(U_119,tyop_2Emin_2Efun(U_118,U_117)),U_116),s(U_119,U_114))),s(U_118,app_2E2(s(tyop_2Emin_2Efun(U_119,U_118),U_115),s(U_119,U_114))))),
inference(variable_rename,[status(thm)],[f_30_1]) ).
cnf(f_30_3,plain,
s(U_117,app_2E2(s(tyop_2Emin_2Efun(U_119,U_117),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_119,U_118),tyop_2Emin_2Efun(U_119,U_117)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_119,tyop_2Emin_2Efun(U_118,U_117)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_119,U_118),tyop_2Emin_2Efun(U_119,U_117))),combin_s_2E0),s(tyop_2Emin_2Efun(U_119,tyop_2Emin_2Efun(U_118,U_117)),U_116))),s(tyop_2Emin_2Efun(U_119,U_118),U_115))),s(U_119,U_114))) = s(U_117,app_2E2(s(tyop_2Emin_2Efun(U_118,U_117),app_2E2(s(tyop_2Emin_2Efun(U_119,tyop_2Emin_2Efun(U_118,U_117)),U_116),s(U_119,U_114))),s(U_118,app_2E2(s(tyop_2Emin_2Efun(U_119,U_118),U_115),s(U_119,U_114))))),
inference(clausify,[status(thm)],[f_30_2]) ).
fof(f_31_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_31_2,plain,
! [U_121,U_120] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,U_121),s(tyop_2Emin_2Ebool,U_120))))
| ~ p(s(tyop_2Emin_2Ebool,U_120))
| ~ p(s(tyop_2Emin_2Ebool,U_121)) )
& ( ( p(s(tyop_2Emin_2Ebool,U_120))
& p(s(tyop_2Emin_2Ebool,U_121)) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,U_121),s(tyop_2Emin_2Ebool,U_120)))) ) ),
inference(variable_rename,[status(thm)],[f_31_1]) ).
fof(f_31_3,plain,
( ! [U_125,U_123] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,U_125),s(tyop_2Emin_2Ebool,U_123))))
| ~ p(s(tyop_2Emin_2Ebool,U_123))
| ~ p(s(tyop_2Emin_2Ebool,U_125)) )
& ! [U_124,U_122] :
( ( p(s(tyop_2Emin_2Ebool,U_122))
& p(s(tyop_2Emin_2Ebool,U_124)) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,U_124),s(tyop_2Emin_2Ebool,U_122)))) ) ),
inference(miniscope,[status(thm)],[f_31_2]) ).
cnf(f_31_4,plain,
( p(s(tyop_2Emin_2Ebool,U_124))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,U_124),s(tyop_2Emin_2Ebool,U_122)))) ),
inference(clausify,[status(thm)],[f_31_3]) ).
cnf(f_31_5,plain,
( p(s(tyop_2Emin_2Ebool,U_122))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,U_124),s(tyop_2Emin_2Ebool,U_122)))) ),
inference(clausify,[status(thm)],[f_31_3]) ).
cnf(f_31_6,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,U_125),s(tyop_2Emin_2Ebool,U_123))))
| ~ p(s(tyop_2Emin_2Ebool,U_123))
| ~ p(s(tyop_2Emin_2Ebool,U_125)) ),
inference(clausify,[status(thm)],[f_31_3]) ).
fof(f_32_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_32_2,plain,
! [U_127,U_126] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,U_127),s(tyop_2Emin_2Ebool,U_126))))
| ( ~ p(s(tyop_2Emin_2Ebool,U_126))
& ~ p(s(tyop_2Emin_2Ebool,U_127)) ) )
& ( p(s(tyop_2Emin_2Ebool,U_126))
| p(s(tyop_2Emin_2Ebool,U_127))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,U_127),s(tyop_2Emin_2Ebool,U_126)))) ) ),
inference(variable_rename,[status(thm)],[f_32_1]) ).
fof(f_32_3,plain,
( ! [U_131,U_129] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,U_131),s(tyop_2Emin_2Ebool,U_129))))
| ( ~ p(s(tyop_2Emin_2Ebool,U_129))
& ~ p(s(tyop_2Emin_2Ebool,U_131)) ) )
& ! [U_130,U_128] :
( p(s(tyop_2Emin_2Ebool,U_128))
| p(s(tyop_2Emin_2Ebool,U_130))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,U_130),s(tyop_2Emin_2Ebool,U_128)))) ) ),
inference(miniscope,[status(thm)],[f_32_2]) ).
cnf(f_32_4,plain,
( p(s(tyop_2Emin_2Ebool,U_128))
| p(s(tyop_2Emin_2Ebool,U_130))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,U_130),s(tyop_2Emin_2Ebool,U_128)))) ),
inference(clausify,[status(thm)],[f_32_3]) ).
cnf(f_32_5,plain,
( ~ p(s(tyop_2Emin_2Ebool,U_131))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,U_131),s(tyop_2Emin_2Ebool,U_129)))) ),
inference(clausify,[status(thm)],[f_32_3]) ).
cnf(f_32_6,plain,
( ~ p(s(tyop_2Emin_2Ebool,U_129))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,U_131),s(tyop_2Emin_2Ebool,U_129)))) ),
inference(clausify,[status(thm)],[f_32_3]) ).
fof(f_33_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_33_2,plain,
! [U_132] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,U_132))))
| p(s(tyop_2Emin_2Ebool,U_132)) )
& ( ~ p(s(tyop_2Emin_2Ebool,U_132))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,U_132)))) ) ),
inference(variable_rename,[status(thm)],[f_33_1]) ).
fof(f_33_3,plain,
( ! [U_134] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,U_134))))
| p(s(tyop_2Emin_2Ebool,U_134)) )
& ! [U_133] :
( ~ p(s(tyop_2Emin_2Ebool,U_133))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,U_133)))) ) ),
inference(miniscope,[status(thm)],[f_33_2]) ).
cnf(f_33_4,plain,
( ~ p(s(tyop_2Emin_2Ebool,U_133))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,U_133)))) ),
inference(clausify,[status(thm)],[f_33_3]) ).
cnf(f_33_5,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,U_134))))
| p(s(tyop_2Emin_2Ebool,U_134)) ),
inference(clausify,[status(thm)],[f_33_3]) ).
fof(f_34_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_34_2,plain,
! [U_136,U_135] :
( ( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,U_136),s(tyop_2Emin_2Ebool,U_135))))
| ( ~ p(s(tyop_2Emin_2Ebool,U_135))
& p(s(tyop_2Emin_2Ebool,U_136)) ) )
& ( p(s(tyop_2Emin_2Ebool,U_135))
| ~ p(s(tyop_2Emin_2Ebool,U_136))
| ~ p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,U_136),s(tyop_2Emin_2Ebool,U_135)))) ) ),
inference(variable_rename,[status(thm)],[f_34_1]) ).
fof(f_34_3,plain,
( ! [U_140,U_138] :
( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,U_140),s(tyop_2Emin_2Ebool,U_138))))
| ( ~ p(s(tyop_2Emin_2Ebool,U_138))
& p(s(tyop_2Emin_2Ebool,U_140)) ) )
& ! [U_139,U_137] :
( p(s(tyop_2Emin_2Ebool,U_137))
| ~ p(s(tyop_2Emin_2Ebool,U_139))
| ~ p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,U_139),s(tyop_2Emin_2Ebool,U_137)))) ) ),
inference(miniscope,[status(thm)],[f_34_2]) ).
cnf(f_34_4,plain,
( p(s(tyop_2Emin_2Ebool,U_137))
| ~ p(s(tyop_2Emin_2Ebool,U_139))
| ~ p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,U_139),s(tyop_2Emin_2Ebool,U_137)))) ),
inference(clausify,[status(thm)],[f_34_3]) ).
cnf(f_34_5,plain,
( p(s(tyop_2Emin_2Ebool,U_140))
| p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,U_140),s(tyop_2Emin_2Ebool,U_138)))) ),
inference(clausify,[status(thm)],[f_34_3]) ).
cnf(f_34_6,plain,
( ~ p(s(tyop_2Emin_2Ebool,U_138))
| p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,U_140),s(tyop_2Emin_2Ebool,U_138)))) ),
inference(clausify,[status(thm)],[f_34_3]) ).
fof(f_35_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_35_2,plain,
! [U_143,U_142,U_141] :
( ( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(U_143,U_142),s(U_143,U_141))))
| s(U_143,U_142) != s(U_143,U_141) )
& ( s(U_143,U_142) = s(U_143,U_141)
| ~ p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(U_143,U_142),s(U_143,U_141)))) ) ),
inference(variable_rename,[status(thm)],[f_35_1]) ).
fof(f_35_3,plain,
( ! [U_149,U_147,U_145] :
( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(U_149,U_147),s(U_149,U_145))))
| s(U_149,U_147) != s(U_149,U_145) )
& ! [U_148,U_146,U_144] :
( s(U_148,U_146) = s(U_148,U_144)
| ~ p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(U_148,U_146),s(U_148,U_144)))) ) ),
inference(miniscope,[status(thm)],[f_35_2]) ).
cnf(f_35_4,plain,
( s(U_148,U_146) = s(U_148,U_144)
| ~ p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(U_148,U_146),s(U_148,U_144)))) ),
inference(clausify,[status(thm)],[f_35_3]) ).
cnf(f_35_5,plain,
( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(U_149,U_147),s(U_149,U_145))))
| s(U_149,U_147) != s(U_149,U_145) ),
inference(clausify,[status(thm)],[f_35_3]) ).
fof(f_36_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_36_2,plain,
! [U_153,U_152] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(U_153,tyop_2Emin_2Ebool),U_152))))
| ? [U_151] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_153,tyop_2Emin_2Ebool),U_152),s(U_153,U_151)))) )
& ( ! [U_150] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_153,tyop_2Emin_2Ebool),U_152),s(U_153,U_150))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(U_153,tyop_2Emin_2Ebool),U_152)))) ) ),
inference(variable_rename,[status(thm)],[f_36_1]) ).
fof(f_36_3,plain,
( ! [U_157,U_155] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(U_157,tyop_2Emin_2Ebool),U_155))))
| ? [U_151] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_157,tyop_2Emin_2Ebool),U_155),s(U_157,U_151)))) )
& ! [U_156,U_154] :
( ! [U_150] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_156,tyop_2Emin_2Ebool),U_154),s(U_156,U_150))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(U_156,tyop_2Emin_2Ebool),U_154)))) ) ),
inference(miniscope,[status(thm)],[f_36_2]) ).
fof(f_36_4,plain,
( ! [U_157,U_155] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(U_157,tyop_2Emin_2Ebool),U_155))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_157,tyop_2Emin_2Ebool),U_155),s(U_157,sK5(U_157,U_155))))) )
& ! [U_156,U_154] :
( ! [U_150] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_156,tyop_2Emin_2Ebool),U_154),s(U_156,U_150))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(U_156,tyop_2Emin_2Ebool),U_154)))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_151,sK5(U_157,U_155))],[f_36_3]) ).
cnf(f_36_5,plain,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_156,tyop_2Emin_2Ebool),U_154),s(U_156,U_150))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(U_156,tyop_2Emin_2Ebool),U_154)))) ),
inference(clausify,[status(thm)],[f_36_4]) ).
cnf(f_36_6,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(U_157,tyop_2Emin_2Ebool),U_155))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_157,tyop_2Emin_2Ebool),U_155),s(U_157,sK5(U_157,U_155))))) ),
inference(clausify,[status(thm)],[f_36_4]) ).
fof(f_37_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_37_2,plain,
! [U_161,U_160] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(U_161,tyop_2Emin_2Ebool),U_160))))
| ! [U_159] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_161,tyop_2Emin_2Ebool),U_160),s(U_161,U_159)))) )
& ( ? [U_158] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_161,tyop_2Emin_2Ebool),U_160),s(U_161,U_158))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(U_161,tyop_2Emin_2Ebool),U_160)))) ) ),
inference(variable_rename,[status(thm)],[f_37_1]) ).
fof(f_37_3,plain,
( ! [U_165,U_163] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(U_165,tyop_2Emin_2Ebool),U_163))))
| ! [U_159] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_165,tyop_2Emin_2Ebool),U_163),s(U_165,U_159)))) )
& ! [U_164,U_162] :
( ? [U_158] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_164,tyop_2Emin_2Ebool),U_162),s(U_164,U_158))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(U_164,tyop_2Emin_2Ebool),U_162)))) ) ),
inference(miniscope,[status(thm)],[f_37_2]) ).
fof(f_37_4,plain,
( ! [U_165,U_163] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(U_165,tyop_2Emin_2Ebool),U_163))))
| ! [U_159] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_165,tyop_2Emin_2Ebool),U_163),s(U_165,U_159)))) )
& ! [U_164,U_162] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_164,tyop_2Emin_2Ebool),U_162),s(U_164,sK6(U_164,U_162)))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(U_164,tyop_2Emin_2Ebool),U_162)))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_158,sK6(U_164,U_162))],[f_37_3]) ).
cnf(f_37_5,plain,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_164,tyop_2Emin_2Ebool),U_162),s(U_164,sK6(U_164,U_162)))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(U_164,tyop_2Emin_2Ebool),U_162)))) ),
inference(clausify,[status(thm)],[f_37_4]) ).
cnf(f_37_6,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(U_165,tyop_2Emin_2Ebool),U_163))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_165,tyop_2Emin_2Ebool),U_163),s(U_165,U_159)))) ),
inference(clausify,[status(thm)],[f_37_4]) ).
fof(f_38_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_38_2,plain,
! [U_167,U_166] :
( ( ( p(s(tyop_2Emin_2Ebool,U_166))
& p(s(tyop_2Emin_2Ebool,U_167)) )
| ~ 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_167))),s(tyop_2Emin_2Ebool,U_166)))) )
& ( 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_167))),s(tyop_2Emin_2Ebool,U_166))))
| ~ p(s(tyop_2Emin_2Ebool,U_166))
| ~ p(s(tyop_2Emin_2Ebool,U_167)) ) ),
inference(variable_rename,[status(thm)],[f_38_1]) ).
fof(f_38_3,plain,
( ! [U_171,U_169] :
( ( p(s(tyop_2Emin_2Ebool,U_169))
& p(s(tyop_2Emin_2Ebool,U_171)) )
| ~ 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_171))),s(tyop_2Emin_2Ebool,U_169)))) )
& ! [U_170,U_168] :
( 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_170))),s(tyop_2Emin_2Ebool,U_168))))
| ~ p(s(tyop_2Emin_2Ebool,U_168))
| ~ p(s(tyop_2Emin_2Ebool,U_170)) ) ),
inference(miniscope,[status(thm)],[f_38_2]) ).
cnf(f_38_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_170))),s(tyop_2Emin_2Ebool,U_168))))
| ~ p(s(tyop_2Emin_2Ebool,U_168))
| ~ p(s(tyop_2Emin_2Ebool,U_170)) ),
inference(clausify,[status(thm)],[f_38_3]) ).
cnf(f_38_5,plain,
( p(s(tyop_2Emin_2Ebool,U_171))
| ~ 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_171))),s(tyop_2Emin_2Ebool,U_169)))) ),
inference(clausify,[status(thm)],[f_38_3]) ).
cnf(f_38_6,plain,
( p(s(tyop_2Emin_2Ebool,U_169))
| ~ 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_171))),s(tyop_2Emin_2Ebool,U_169)))) ),
inference(clausify,[status(thm)],[f_38_3]) ).
fof(f_39_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_39_2,plain,
! [U_173,U_172] :
( ( p(s(tyop_2Emin_2Ebool,U_172))
| p(s(tyop_2Emin_2Ebool,U_173))
| ~ 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_173))),s(tyop_2Emin_2Ebool,U_172)))) )
& ( 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_173))),s(tyop_2Emin_2Ebool,U_172))))
| ( ~ p(s(tyop_2Emin_2Ebool,U_172))
& ~ p(s(tyop_2Emin_2Ebool,U_173)) ) ) ),
inference(variable_rename,[status(thm)],[f_39_1]) ).
fof(f_39_3,plain,
( ! [U_177,U_175] :
( p(s(tyop_2Emin_2Ebool,U_175))
| p(s(tyop_2Emin_2Ebool,U_177))
| ~ 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_177))),s(tyop_2Emin_2Ebool,U_175)))) )
& ! [U_176,U_174] :
( 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_176))),s(tyop_2Emin_2Ebool,U_174))))
| ( ~ p(s(tyop_2Emin_2Ebool,U_174))
& ~ p(s(tyop_2Emin_2Ebool,U_176)) ) ) ),
inference(miniscope,[status(thm)],[f_39_2]) ).
cnf(f_39_4,plain,
( ~ p(s(tyop_2Emin_2Ebool,U_176))
| 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_176))),s(tyop_2Emin_2Ebool,U_174)))) ),
inference(clausify,[status(thm)],[f_39_3]) ).
cnf(f_39_5,plain,
( ~ p(s(tyop_2Emin_2Ebool,U_174))
| 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_176))),s(tyop_2Emin_2Ebool,U_174)))) ),
inference(clausify,[status(thm)],[f_39_3]) ).
cnf(f_39_6,plain,
( p(s(tyop_2Emin_2Ebool,U_175))
| p(s(tyop_2Emin_2Ebool,U_177))
| ~ 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_177))),s(tyop_2Emin_2Ebool,U_175)))) ),
inference(clausify,[status(thm)],[f_39_3]) ).
fof(f_40_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_40_2,plain,
! [U_178] :
( ( ~ p(s(tyop_2Emin_2Ebool,U_178))
| ~ 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_178)))) )
& ( 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_178))))
| p(s(tyop_2Emin_2Ebool,U_178)) ) ),
inference(variable_rename,[status(thm)],[f_40_1]) ).
fof(f_40_3,plain,
( ! [U_180] :
( ~ p(s(tyop_2Emin_2Ebool,U_180))
| ~ 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_180)))) )
& ! [U_179] :
( 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_179))))
| p(s(tyop_2Emin_2Ebool,U_179)) ) ),
inference(miniscope,[status(thm)],[f_40_2]) ).
cnf(f_40_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_179))))
| p(s(tyop_2Emin_2Ebool,U_179)) ),
inference(clausify,[status(thm)],[f_40_3]) ).
cnf(f_40_5,plain,
( ~ p(s(tyop_2Emin_2Ebool,U_180))
| ~ 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_180)))) ),
inference(clausify,[status(thm)],[f_40_3]) ).
fof(f_41_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_41_2,plain,
! [U_182,U_181] :
( ( p(s(tyop_2Emin_2Ebool,U_181))
| ~ p(s(tyop_2Emin_2Ebool,U_182))
| ~ 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_182))),s(tyop_2Emin_2Ebool,U_181)))) )
& ( 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_182))),s(tyop_2Emin_2Ebool,U_181))))
| ( ~ p(s(tyop_2Emin_2Ebool,U_181))
& p(s(tyop_2Emin_2Ebool,U_182)) ) ) ),
inference(variable_rename,[status(thm)],[f_41_1]) ).
fof(f_41_3,plain,
( ! [U_186,U_184] :
( p(s(tyop_2Emin_2Ebool,U_184))
| ~ p(s(tyop_2Emin_2Ebool,U_186))
| ~ 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_186))),s(tyop_2Emin_2Ebool,U_184)))) )
& ! [U_185,U_183] :
( 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_185))),s(tyop_2Emin_2Ebool,U_183))))
| ( ~ p(s(tyop_2Emin_2Ebool,U_183))
& p(s(tyop_2Emin_2Ebool,U_185)) ) ) ),
inference(miniscope,[status(thm)],[f_41_2]) ).
cnf(f_41_4,plain,
( p(s(tyop_2Emin_2Ebool,U_185))
| 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_185))),s(tyop_2Emin_2Ebool,U_183)))) ),
inference(clausify,[status(thm)],[f_41_3]) ).
cnf(f_41_5,plain,
( ~ p(s(tyop_2Emin_2Ebool,U_183))
| 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_185))),s(tyop_2Emin_2Ebool,U_183)))) ),
inference(clausify,[status(thm)],[f_41_3]) ).
cnf(f_41_6,plain,
( p(s(tyop_2Emin_2Ebool,U_184))
| ~ p(s(tyop_2Emin_2Ebool,U_186))
| ~ 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_186))),s(tyop_2Emin_2Ebool,U_184)))) ),
inference(clausify,[status(thm)],[f_41_3]) ).
fof(f_42_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_42_2,plain,
! [U_189,U_188,U_187] :
( ( s(U_189,U_188) = s(U_189,U_187)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_189,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_189,tyop_2Emin_2Efun(U_189,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(U_189,U_188))),s(U_189,U_187)))) )
& ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_189,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_189,tyop_2Emin_2Efun(U_189,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(U_189,U_188))),s(U_189,U_187))))
| s(U_189,U_188) != s(U_189,U_187) ) ),
inference(variable_rename,[status(thm)],[f_42_1]) ).
fof(f_42_3,plain,
( ! [U_195,U_193,U_191] :
( s(U_195,U_193) = s(U_195,U_191)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_195,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_195,tyop_2Emin_2Efun(U_195,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(U_195,U_193))),s(U_195,U_191)))) )
& ! [U_194,U_192,U_190] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_194,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_194,tyop_2Emin_2Efun(U_194,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(U_194,U_192))),s(U_194,U_190))))
| s(U_194,U_192) != s(U_194,U_190) ) ),
inference(miniscope,[status(thm)],[f_42_2]) ).
cnf(f_42_4,plain,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_194,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_194,tyop_2Emin_2Efun(U_194,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(U_194,U_192))),s(U_194,U_190))))
| s(U_194,U_192) != s(U_194,U_190) ),
inference(clausify,[status(thm)],[f_42_3]) ).
cnf(f_42_5,plain,
( s(U_195,U_193) = s(U_195,U_191)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_195,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_195,tyop_2Emin_2Efun(U_195,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(U_195,U_193))),s(U_195,U_191)))) ),
inference(clausify,[status(thm)],[f_42_3]) ).
fof(f_43_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_43_2,plain,
! [U_197,U_196] : s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(U_197,tyop_2Emin_2Ebool),U_196))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_197,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(U_197,tyop_2Emin_2Ebool),U_196))),
inference(variable_rename,[status(thm)],[f_43_1]) ).
cnf(f_43_3,plain,
s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(U_197,tyop_2Emin_2Ebool),U_196))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_197,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(U_197,tyop_2Emin_2Ebool),U_196))),
inference(clausify,[status(thm)],[f_43_2]) ).
fof(f_44_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_44_2,plain,
! [U_199,U_198] : s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(U_199,tyop_2Emin_2Ebool),U_198))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_199,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(U_199,tyop_2Emin_2Ebool),U_198))),
inference(variable_rename,[status(thm)],[f_44_1]) ).
cnf(f_44_3,plain,
s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(U_199,tyop_2Emin_2Ebool),U_198))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_199,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(U_199,tyop_2Emin_2Ebool),U_198))),
inference(clausify,[status(thm)],[f_44_2]) ).
fof(f_45_1,plain,
! [A_27a,X0_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_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_3F_21_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))),
inference(fof_nnf,[status(thm)],[arityeq1_2Ec_2Ebool_2E_3F_21_2E1_2Emono_2EA_27a]) ).
fof(f_45_2,plain,
! [U_201,U_200] : s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_21_2E1(s(tyop_2Emin_2Efun(U_201,tyop_2Emin_2Ebool),U_200))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_201,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_21_2E0),s(tyop_2Emin_2Efun(U_201,tyop_2Emin_2Ebool),U_200))),
inference(variable_rename,[status(thm)],[f_45_1]) ).
cnf(f_45_3,plain,
s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_21_2E1(s(tyop_2Emin_2Efun(U_201,tyop_2Emin_2Ebool),U_200))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_201,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_21_2E0),s(tyop_2Emin_2Efun(U_201,tyop_2Emin_2Ebool),U_200))),
inference(clausify,[status(thm)],[f_45_2]) ).
fof(f_46_1,plain,
! [A_27a,X0_2E0] : s(A_27a,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))) = s(A_27a,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),A_27a),c_2Emin_2E_40_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))),
inference(fof_nnf,[status(thm)],[arityeq1_2Ec_2Emin_2E_40_2E1_2Emono_2EA_27a]) ).
fof(f_46_2,plain,
! [U_203,U_202] : s(U_203,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(U_203,tyop_2Emin_2Ebool),U_202))) = s(U_203,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_203,tyop_2Emin_2Ebool),U_203),c_2Emin_2E_40_2E0),s(tyop_2Emin_2Efun(U_203,tyop_2Emin_2Ebool),U_202))),
inference(variable_rename,[status(thm)],[f_46_1]) ).
cnf(f_46_3,plain,
s(U_203,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(U_203,tyop_2Emin_2Ebool),U_202))) = s(U_203,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_203,tyop_2Emin_2Ebool),U_203),c_2Emin_2E_40_2E0),s(tyop_2Emin_2Efun(U_203,tyop_2Emin_2Ebool),U_202))),
inference(clausify,[status(thm)],[f_46_2]) ).
fof(f_47_1,plain,
! [X0_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2EBOUNDED_2E1(s(tyop_2Emin_2Ebool,X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2EBOUNDED_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),
inference(fof_nnf,[status(thm)],[arityeq1_2Ec_2Ebool_2EBOUNDED_2E1]) ).
fof(f_47_2,plain,
! [U_204] : s(tyop_2Emin_2Ebool,c_2Ebool_2EBOUNDED_2E1(s(tyop_2Emin_2Ebool,U_204))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2EBOUNDED_2E0),s(tyop_2Emin_2Ebool,U_204))),
inference(variable_rename,[status(thm)],[f_47_1]) ).
cnf(f_47_3,plain,
s(tyop_2Emin_2Ebool,c_2Ebool_2EBOUNDED_2E1(s(tyop_2Emin_2Ebool,U_204))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2EBOUNDED_2E0),s(tyop_2Emin_2Ebool,U_204))),
inference(clausify,[status(thm)],[f_47_2]) ).
fof(f_48_1,plain,
! [A_27a,X0_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2EDATATYPE_2E1(s(A_27a,X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),c_2Ebool_2EDATATYPE_2E0),s(A_27a,X0_2E0))),
inference(fof_nnf,[status(thm)],[arityeq1_2Ec_2Ebool_2EDATATYPE_2E1_2Emono_2EA_27a]) ).
fof(f_48_2,plain,
! [U_206,U_205] : s(tyop_2Emin_2Ebool,c_2Ebool_2EDATATYPE_2E1(s(U_206,U_205))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_206,tyop_2Emin_2Ebool),c_2Ebool_2EDATATYPE_2E0),s(U_206,U_205))),
inference(variable_rename,[status(thm)],[f_48_1]) ).
cnf(f_48_3,plain,
s(tyop_2Emin_2Ebool,c_2Ebool_2EDATATYPE_2E1(s(U_206,U_205))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_206,tyop_2Emin_2Ebool),c_2Ebool_2EDATATYPE_2E0),s(U_206,U_205))),
inference(clausify,[status(thm)],[f_48_2]) ).
fof(f_49_1,plain,
! [A_27a,A_27b,X0_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2EONE__ONE_2E1(s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Ebool),c_2Ebool_2EONE__ONE_2E0),s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0))),
inference(fof_nnf,[status(thm)],[arityeq1_2Ec_2Ebool_2EONE__ONE_2E1_2Emono_2EA_27a_20mono_2EA_27b]) ).
fof(f_49_2,plain,
! [U_209,U_208,U_207] : s(tyop_2Emin_2Ebool,c_2Ebool_2EONE__ONE_2E1(s(tyop_2Emin_2Efun(U_209,U_208),U_207))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_209,U_208),tyop_2Emin_2Ebool),c_2Ebool_2EONE__ONE_2E0),s(tyop_2Emin_2Efun(U_209,U_208),U_207))),
inference(variable_rename,[status(thm)],[f_49_1]) ).
cnf(f_49_3,plain,
s(tyop_2Emin_2Ebool,c_2Ebool_2EONE__ONE_2E1(s(tyop_2Emin_2Efun(U_209,U_208),U_207))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_209,U_208),tyop_2Emin_2Ebool),c_2Ebool_2EONE__ONE_2E0),s(tyop_2Emin_2Efun(U_209,U_208),U_207))),
inference(clausify,[status(thm)],[f_49_2]) ).
fof(f_50_1,plain,
! [X0_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2EONE__ONE_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),tyop_2Emin_2Ebool),c_2Ebool_2EONE__ONE_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),X0_2E0))),
inference(fof_nnf,[status(thm)],[arityeq1_2Ec_2Ebool_2EONE__ONE_2E1_2Emono_2Etyop_2Emin_2Eind_20mono_2Etyop_2Emin_2Eind]) ).
fof(f_50_2,plain,
! [U_210] : s(tyop_2Emin_2Ebool,c_2Ebool_2EONE__ONE_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),U_210))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),tyop_2Emin_2Ebool),c_2Ebool_2EONE__ONE_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),U_210))),
inference(variable_rename,[status(thm)],[f_50_1]) ).
cnf(f_50_3,plain,
s(tyop_2Emin_2Ebool,c_2Ebool_2EONE__ONE_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),U_210))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),tyop_2Emin_2Ebool),c_2Ebool_2EONE__ONE_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),U_210))),
inference(clausify,[status(thm)],[f_50_2]) ).
fof(f_51_1,plain,
! [A_27a,A_27b,X0_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2EONTO_2E1(s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Ebool),c_2Ebool_2EONTO_2E0),s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0))),
inference(fof_nnf,[status(thm)],[arityeq1_2Ec_2Ebool_2EONTO_2E1_2Emono_2EA_27a_20mono_2EA_27b]) ).
fof(f_51_2,plain,
! [U_213,U_212,U_211] : s(tyop_2Emin_2Ebool,c_2Ebool_2EONTO_2E1(s(tyop_2Emin_2Efun(U_213,U_212),U_211))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_213,U_212),tyop_2Emin_2Ebool),c_2Ebool_2EONTO_2E0),s(tyop_2Emin_2Efun(U_213,U_212),U_211))),
inference(variable_rename,[status(thm)],[f_51_1]) ).
cnf(f_51_3,plain,
s(tyop_2Emin_2Ebool,c_2Ebool_2EONTO_2E1(s(tyop_2Emin_2Efun(U_213,U_212),U_211))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_213,U_212),tyop_2Emin_2Ebool),c_2Ebool_2EONTO_2E0),s(tyop_2Emin_2Efun(U_213,U_212),U_211))),
inference(clausify,[status(thm)],[f_51_2]) ).
fof(f_52_1,plain,
! [X0_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2EONTO_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),tyop_2Emin_2Ebool),c_2Ebool_2EONTO_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),X0_2E0))),
inference(fof_nnf,[status(thm)],[arityeq1_2Ec_2Ebool_2EONTO_2E1_2Emono_2Etyop_2Emin_2Eind_20mono_2Etyop_2Emin_2Eind]) ).
fof(f_52_2,plain,
! [U_214] : s(tyop_2Emin_2Ebool,c_2Ebool_2EONTO_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),U_214))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),tyop_2Emin_2Ebool),c_2Ebool_2EONTO_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),U_214))),
inference(variable_rename,[status(thm)],[f_52_1]) ).
cnf(f_52_3,plain,
s(tyop_2Emin_2Ebool,c_2Ebool_2EONTO_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),U_214))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),tyop_2Emin_2Ebool),c_2Ebool_2EONTO_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),U_214))),
inference(clausify,[status(thm)],[f_52_2]) ).
fof(f_53_1,plain,
! [A_27a,X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,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(A_27a,tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ebool_2EIN_2E0),s(A_27a,X0_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))),
inference(fof_nnf,[status(thm)],[arityeq2_2Ec_2Ebool_2EIN_2E2_2Emono_2EA_27a]) ).
fof(f_53_2,plain,
! [U_217,U_216,U_215] : s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(U_217,U_216),s(tyop_2Emin_2Efun(U_217,tyop_2Emin_2Ebool),U_215))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_217,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_217,tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_217,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ebool_2EIN_2E0),s(U_217,U_216))),s(tyop_2Emin_2Efun(U_217,tyop_2Emin_2Ebool),U_215))),
inference(variable_rename,[status(thm)],[f_53_1]) ).
cnf(f_53_3,plain,
s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(U_217,U_216),s(tyop_2Emin_2Efun(U_217,tyop_2Emin_2Ebool),U_215))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_217,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_217,tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_217,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ebool_2EIN_2E0),s(U_217,U_216))),s(tyop_2Emin_2Efun(U_217,tyop_2Emin_2Ebool),U_215))),
inference(clausify,[status(thm)],[f_53_2]) ).
fof(f_54_1,plain,
! [A_27a,A_27b,X0_2E0,X1_2E0] : s(A_27b,c_2Ebool_2ELET_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0),s(A_27a,X1_2E0))) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27b)),c_2Ebool_2ELET_2E0),s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0))),s(A_27a,X1_2E0))),
inference(fof_nnf,[status(thm)],[arityeq2_2Ec_2Ebool_2ELET_2E2_2Emono_2EA_27a_20mono_2EA_27b]) ).
fof(f_54_2,plain,
! [U_221,U_220,U_219,U_218] : s(U_220,c_2Ebool_2ELET_2E2(s(tyop_2Emin_2Efun(U_221,U_220),U_219),s(U_221,U_218))) = s(U_220,app_2E2(s(tyop_2Emin_2Efun(U_221,U_220),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_221,U_220),tyop_2Emin_2Efun(U_221,U_220)),c_2Ebool_2ELET_2E0),s(tyop_2Emin_2Efun(U_221,U_220),U_219))),s(U_221,U_218))),
inference(variable_rename,[status(thm)],[f_54_1]) ).
cnf(f_54_3,plain,
s(U_220,c_2Ebool_2ELET_2E2(s(tyop_2Emin_2Efun(U_221,U_220),U_219),s(U_221,U_218))) = s(U_220,app_2E2(s(tyop_2Emin_2Efun(U_221,U_220),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_221,U_220),tyop_2Emin_2Efun(U_221,U_220)),c_2Ebool_2ELET_2E0),s(tyop_2Emin_2Efun(U_221,U_220),U_219))),s(U_221,U_218))),
inference(clausify,[status(thm)],[f_54_2]) ).
fof(f_55_1,plain,
! [A_27a,X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(A_27a,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_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ebool_2ERES__EXISTS_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))),
inference(fof_nnf,[status(thm)],[arityeq2_2Ec_2Ebool_2ERES__EXISTS_2E2_2Emono_2EA_27a]) ).
fof(f_55_2,plain,
! [U_224,U_223,U_222] : s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(U_224,tyop_2Emin_2Ebool),U_223),s(tyop_2Emin_2Efun(U_224,tyop_2Emin_2Ebool),U_222))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_224,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_224,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_224,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ebool_2ERES__EXISTS_2E0),s(tyop_2Emin_2Efun(U_224,tyop_2Emin_2Ebool),U_223))),s(tyop_2Emin_2Efun(U_224,tyop_2Emin_2Ebool),U_222))),
inference(variable_rename,[status(thm)],[f_55_1]) ).
cnf(f_55_3,plain,
s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(U_224,tyop_2Emin_2Ebool),U_223),s(tyop_2Emin_2Efun(U_224,tyop_2Emin_2Ebool),U_222))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_224,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_224,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_224,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ebool_2ERES__EXISTS_2E0),s(tyop_2Emin_2Efun(U_224,tyop_2Emin_2Ebool),U_223))),s(tyop_2Emin_2Efun(U_224,tyop_2Emin_2Ebool),U_222))),
inference(clausify,[status(thm)],[f_55_2]) ).
fof(f_56_1,plain,
! [A_27a,X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(A_27a,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_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ebool_2ERES__EXISTS__UNIQUE_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))),
inference(fof_nnf,[status(thm)],[arityeq2_2Ec_2Ebool_2ERES__EXISTS__UNIQUE_2E2_2Emono_2EA_27a]) ).
fof(f_56_2,plain,
! [U_227,U_226,U_225] : s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(U_227,tyop_2Emin_2Ebool),U_226),s(tyop_2Emin_2Efun(U_227,tyop_2Emin_2Ebool),U_225))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_227,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_227,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_227,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ebool_2ERES__EXISTS__UNIQUE_2E0),s(tyop_2Emin_2Efun(U_227,tyop_2Emin_2Ebool),U_226))),s(tyop_2Emin_2Efun(U_227,tyop_2Emin_2Ebool),U_225))),
inference(variable_rename,[status(thm)],[f_56_1]) ).
cnf(f_56_3,plain,
s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(U_227,tyop_2Emin_2Ebool),U_226),s(tyop_2Emin_2Efun(U_227,tyop_2Emin_2Ebool),U_225))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_227,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_227,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_227,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ebool_2ERES__EXISTS__UNIQUE_2E0),s(tyop_2Emin_2Efun(U_227,tyop_2Emin_2Ebool),U_226))),s(tyop_2Emin_2Efun(U_227,tyop_2Emin_2Ebool),U_225))),
inference(clausify,[status(thm)],[f_56_2]) ).
fof(f_57_1,plain,
! [A_27a,X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(A_27a,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_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ebool_2ERES__FORALL_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))),
inference(fof_nnf,[status(thm)],[arityeq2_2Ec_2Ebool_2ERES__FORALL_2E2_2Emono_2EA_27a]) ).
fof(f_57_2,plain,
! [U_230,U_229,U_228] : s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_230,tyop_2Emin_2Ebool),U_229),s(tyop_2Emin_2Efun(U_230,tyop_2Emin_2Ebool),U_228))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_230,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_230,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_230,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ebool_2ERES__FORALL_2E0),s(tyop_2Emin_2Efun(U_230,tyop_2Emin_2Ebool),U_229))),s(tyop_2Emin_2Efun(U_230,tyop_2Emin_2Ebool),U_228))),
inference(variable_rename,[status(thm)],[f_57_1]) ).
cnf(f_57_3,plain,
s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_230,tyop_2Emin_2Ebool),U_229),s(tyop_2Emin_2Efun(U_230,tyop_2Emin_2Ebool),U_228))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_230,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_230,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_230,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ebool_2ERES__FORALL_2E0),s(tyop_2Emin_2Efun(U_230,tyop_2Emin_2Ebool),U_229))),s(tyop_2Emin_2Efun(U_230,tyop_2Emin_2Ebool),U_228))),
inference(clausify,[status(thm)],[f_57_2]) ).
fof(f_58_1,plain,
! [A_27a,X0_2E0,X1_2E0] : s(A_27a,c_2Ebool_2ERES__SELECT_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))) = s(A_27a,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),A_27a),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),A_27a)),c_2Ebool_2ERES__SELECT_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))),
inference(fof_nnf,[status(thm)],[arityeq2_2Ec_2Ebool_2ERES__SELECT_2E2_2Emono_2EA_27a]) ).
fof(f_58_2,plain,
! [U_233,U_232,U_231] : s(U_233,c_2Ebool_2ERES__SELECT_2E2(s(tyop_2Emin_2Efun(U_233,tyop_2Emin_2Ebool),U_232),s(tyop_2Emin_2Efun(U_233,tyop_2Emin_2Ebool),U_231))) = s(U_233,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_233,tyop_2Emin_2Ebool),U_233),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_233,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_233,tyop_2Emin_2Ebool),U_233)),c_2Ebool_2ERES__SELECT_2E0),s(tyop_2Emin_2Efun(U_233,tyop_2Emin_2Ebool),U_232))),s(tyop_2Emin_2Efun(U_233,tyop_2Emin_2Ebool),U_231))),
inference(variable_rename,[status(thm)],[f_58_1]) ).
cnf(f_58_3,plain,
s(U_233,c_2Ebool_2ERES__SELECT_2E2(s(tyop_2Emin_2Efun(U_233,tyop_2Emin_2Ebool),U_232),s(tyop_2Emin_2Efun(U_233,tyop_2Emin_2Ebool),U_231))) = s(U_233,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_233,tyop_2Emin_2Ebool),U_233),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_233,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_233,tyop_2Emin_2Ebool),U_233)),c_2Ebool_2ERES__SELECT_2E0),s(tyop_2Emin_2Efun(U_233,tyop_2Emin_2Ebool),U_232))),s(tyop_2Emin_2Efun(U_233,tyop_2Emin_2Ebool),U_231))),
inference(clausify,[status(thm)],[f_58_2]) ).
fof(f_59_1,plain,
! [A_27a,A_27b,X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2ETYPE__DEFINITION_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Emin_2Efun(A_27b,A_27a),X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,A_27a),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,A_27a),tyop_2Emin_2Ebool)),c_2Ebool_2ETYPE__DEFINITION_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(A_27b,A_27a),X1_2E0))),
inference(fof_nnf,[status(thm)],[arityeq2_2Ec_2Ebool_2ETYPE__DEFINITION_2E2_2Emono_2EA_27a_20mono_2EA_27b]) ).
fof(f_59_2,plain,
! [U_237,U_236,U_235,U_234] : s(tyop_2Emin_2Ebool,c_2Ebool_2ETYPE__DEFINITION_2E2(s(tyop_2Emin_2Efun(U_237,tyop_2Emin_2Ebool),U_235),s(tyop_2Emin_2Efun(U_236,U_237),U_234))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_236,U_237),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_237,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_236,U_237),tyop_2Emin_2Ebool)),c_2Ebool_2ETYPE__DEFINITION_2E0),s(tyop_2Emin_2Efun(U_237,tyop_2Emin_2Ebool),U_235))),s(tyop_2Emin_2Efun(U_236,U_237),U_234))),
inference(variable_rename,[status(thm)],[f_59_1]) ).
cnf(f_59_3,plain,
s(tyop_2Emin_2Ebool,c_2Ebool_2ETYPE__DEFINITION_2E2(s(tyop_2Emin_2Efun(U_237,tyop_2Emin_2Ebool),U_235),s(tyop_2Emin_2Efun(U_236,U_237),U_234))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_236,U_237),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_237,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_236,U_237),tyop_2Emin_2Ebool)),c_2Ebool_2ETYPE__DEFINITION_2E0),s(tyop_2Emin_2Efun(U_237,tyop_2Emin_2Ebool),U_235))),s(tyop_2Emin_2Efun(U_236,U_237),U_234))),
inference(clausify,[status(thm)],[f_59_2]) ).
fof(f_60_1,plain,
! [A_27a,A_27b,X0_2E0,X1_2E0] : s(A_27b,c_2Ebool_2Eliteral__case_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0),s(A_27a,X1_2E0))) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27b)),c_2Ebool_2Eliteral__case_2E0),s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0))),s(A_27a,X1_2E0))),
inference(fof_nnf,[status(thm)],[arityeq2_2Ec_2Ebool_2Eliteral__case_2E2_2Emono_2EA_27a_20mono_2EA_27b]) ).
fof(f_60_2,plain,
! [U_241,U_240,U_239,U_238] : s(U_240,c_2Ebool_2Eliteral__case_2E2(s(tyop_2Emin_2Efun(U_241,U_240),U_239),s(U_241,U_238))) = s(U_240,app_2E2(s(tyop_2Emin_2Efun(U_241,U_240),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_241,U_240),tyop_2Emin_2Efun(U_241,U_240)),c_2Ebool_2Eliteral__case_2E0),s(tyop_2Emin_2Efun(U_241,U_240),U_239))),s(U_241,U_238))),
inference(variable_rename,[status(thm)],[f_60_1]) ).
cnf(f_60_3,plain,
s(U_240,c_2Ebool_2Eliteral__case_2E2(s(tyop_2Emin_2Efun(U_241,U_240),U_239),s(U_241,U_238))) = s(U_240,app_2E2(s(tyop_2Emin_2Efun(U_241,U_240),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_241,U_240),tyop_2Emin_2Efun(U_241,U_240)),c_2Ebool_2Eliteral__case_2E0),s(tyop_2Emin_2Efun(U_241,U_240),U_239))),s(U_241,U_238))),
inference(clausify,[status(thm)],[f_60_2]) ).
fof(f_61_1,plain,
! [A_27a,X0_2E0,X1_2E0,X2_2E0] : s(A_27a,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X0_2E0),s(A_27a,X1_2E0),s(A_27a,X2_2E0))) = s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27a),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,A_27a)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,A_27a))),c_2Ebool_2ECOND_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(A_27a,X1_2E0))),s(A_27a,X2_2E0))),
inference(fof_nnf,[status(thm)],[arityeq3_2Ec_2Ebool_2ECOND_2E3_2Emono_2EA_27a]) ).
fof(f_61_2,plain,
! [U_245,U_244,U_243,U_242] : s(U_245,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,U_244),s(U_245,U_243),s(U_245,U_242))) = s(U_245,app_2E2(s(tyop_2Emin_2Efun(U_245,U_245),app_2E2(s(tyop_2Emin_2Efun(U_245,tyop_2Emin_2Efun(U_245,U_245)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(U_245,tyop_2Emin_2Efun(U_245,U_245))),c_2Ebool_2ECOND_2E0),s(tyop_2Emin_2Ebool,U_244))),s(U_245,U_243))),s(U_245,U_242))),
inference(variable_rename,[status(thm)],[f_61_1]) ).
cnf(f_61_3,plain,
s(U_245,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,U_244),s(U_245,U_243),s(U_245,U_242))) = s(U_245,app_2E2(s(tyop_2Emin_2Efun(U_245,U_245),app_2E2(s(tyop_2Emin_2Efun(U_245,tyop_2Emin_2Efun(U_245,U_245)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(U_245,tyop_2Emin_2Efun(U_245,U_245))),c_2Ebool_2ECOND_2E0),s(tyop_2Emin_2Ebool,U_244))),s(U_245,U_243))),s(U_245,U_242))),
inference(clausify,[status(thm)],[f_61_2]) ).
fof(f_62_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)],[thm_2Ebool_2EBOOL__CASES__AX]) ).
fof(f_62_2,plain,
! [U_246] :
( s(tyop_2Emin_2Ebool,U_246) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| s(tyop_2Emin_2Ebool,U_246) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
inference(variable_rename,[status(thm)],[f_62_1]) ).
cnf(f_62_3,plain,
( s(tyop_2Emin_2Ebool,U_246) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| s(tyop_2Emin_2Ebool,U_246) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
inference(clausify,[status(thm)],[f_62_2]) ).
fof(f_63_1,plain,
! [A_27a,A_27b,V0M_2E0,V1x_2E0] : s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0M_2E0),s(A_27a,V1x_2E0))) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0M_2E0),s(A_27a,V1x_2E0))),
inference(fof_nnf,[status(thm)],[thm_2Ebool_2EETA__AX]) ).
fof(f_63_2,plain,
! [U_250,U_249,U_248,U_247] : s(U_249,app_2E2(s(tyop_2Emin_2Efun(U_250,U_249),U_248),s(U_250,U_247))) = s(U_249,app_2E2(s(tyop_2Emin_2Efun(U_250,U_249),U_248),s(U_250,U_247))),
inference(variable_rename,[status(thm)],[f_63_1]) ).
cnf(f_63_3,plain,
s(U_249,app_2E2(s(tyop_2Emin_2Efun(U_250,U_249),U_248),s(U_250,U_247))) = s(U_249,app_2E2(s(tyop_2Emin_2Efun(U_250,U_249),U_248),s(U_250,U_247))),
inference(clausify,[status(thm)],[f_63_2]) ).
fof(f_64_1,plain,
! [A_27a,V0P_2E0,V1x_2E0] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0P_2E0),s(A_27a,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0P_2E0))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0P_2E0),s(A_27a,V1x_2E0)))) ),
inference(fof_nnf,[status(thm)],[thm_2Ebool_2ESELECT__AX]) ).
fof(f_64_2,plain,
! [U_253,U_252,U_251] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_253,tyop_2Emin_2Ebool),U_252),s(U_253,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(U_253,tyop_2Emin_2Ebool),U_252))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_253,tyop_2Emin_2Ebool),U_252),s(U_253,U_251)))) ),
inference(variable_rename,[status(thm)],[f_64_1]) ).
fof(f_64_3,plain,
! [U_253,U_252] :
( ! [U_251] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_253,tyop_2Emin_2Ebool),U_252),s(U_253,U_251))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_253,tyop_2Emin_2Ebool),U_252),s(U_253,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(U_253,tyop_2Emin_2Ebool),U_252)))))) ),
inference(miniscope,[status(thm)],[f_64_2]) ).
cnf(f_64_4,plain,
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_253,tyop_2Emin_2Ebool),U_252),s(U_253,U_251))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_253,tyop_2Emin_2Ebool),U_252),s(U_253,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(U_253,tyop_2Emin_2Ebool),U_252)))))) ),
inference(clausify,[status(thm)],[f_64_3]) ).
fof(f_65_1,plain,
? [V0f_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONTO_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),V0f_2E0))))
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONE__ONE_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),V0f_2E0)))) ),
inference(fof_nnf,[status(thm)],[thm_2Ebool_2EINFINITY__AX]) ).
fof(f_65_2,plain,
? [U_254] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONTO_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),U_254))))
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONE__ONE_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),U_254)))) ),
inference(variable_rename,[status(thm)],[f_65_1]) ).
fof(f_65_3,plain,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONTO_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),sK7))))
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONE__ONE_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),sK7)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_254,sK7)],[f_65_2]) ).
cnf(f_65_4,plain,
p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONE__ONE_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),sK7)))),
inference(clausify,[status(thm)],[f_65_3]) ).
cnf(f_65_5,plain,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONTO_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),sK7)))),
inference(clausify,[status(thm)],[f_65_3]) ).
fof(f_66_1,plain,
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| ? [V0x_2E0] : s(tyop_2Emin_2Ebool,V0x_2E0) != s(tyop_2Emin_2Ebool,V0x_2E0) )
& ( ! [V0x_2E0] : s(tyop_2Emin_2Ebool,V0x_2E0) = s(tyop_2Emin_2Ebool,V0x_2E0)
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ) ),
inference(fof_nnf,[status(thm)],[thm_2Ebool_2ET__DEF]) ).
fof(f_66_2,plain,
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| ? [U_256] : s(tyop_2Emin_2Ebool,U_256) != s(tyop_2Emin_2Ebool,U_256) )
& ( ! [U_255] : s(tyop_2Emin_2Ebool,U_255) = s(tyop_2Emin_2Ebool,U_255)
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ) ),
inference(variable_rename,[status(thm)],[f_66_1]) ).
fof(f_66_3,plain,
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| s(tyop_2Emin_2Ebool,sK8) != s(tyop_2Emin_2Ebool,sK8) )
& ( ! [U_255] : s(tyop_2Emin_2Ebool,U_255) = s(tyop_2Emin_2Ebool,U_255)
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_256,sK8)],[f_66_2]) ).
cnf(f_66_4,plain,
( s(tyop_2Emin_2Ebool,U_255) = s(tyop_2Emin_2Ebool,U_255)
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
inference(clausify,[status(thm)],[f_66_3]) ).
cnf(f_66_5,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| s(tyop_2Emin_2Ebool,sK8) != s(tyop_2Emin_2Ebool,sK8) ),
inference(clausify,[status(thm)],[f_66_3]) ).
fof(f_67_1,plain,
! [A_27a,V0x_2E0] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0))))
| ? [V1x_2E0] : s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(A_27a,V1x_2E0))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) )
& ( ! [V1x_2E0] : s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(A_27a,V1x_2E0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0)))) ) ),
inference(fof_nnf,[status(thm)],[thm_2Ebool_2EFORALL__DEF]) ).
fof(f_67_2,plain,
! [U_260,U_259] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(U_260,tyop_2Emin_2Ebool),U_259))))
| ? [U_258] : s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_260,tyop_2Emin_2Ebool),U_259),s(U_260,U_258))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) )
& ( ! [U_257] : s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_260,tyop_2Emin_2Ebool),U_259),s(U_260,U_257))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(U_260,tyop_2Emin_2Ebool),U_259)))) ) ),
inference(variable_rename,[status(thm)],[f_67_1]) ).
fof(f_67_3,plain,
( ! [U_264,U_262] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(U_264,tyop_2Emin_2Ebool),U_262))))
| ? [U_258] : s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_264,tyop_2Emin_2Ebool),U_262),s(U_264,U_258))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) )
& ! [U_263,U_261] :
( ! [U_257] : s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_263,tyop_2Emin_2Ebool),U_261),s(U_263,U_257))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(U_263,tyop_2Emin_2Ebool),U_261)))) ) ),
inference(miniscope,[status(thm)],[f_67_2]) ).
fof(f_67_4,plain,
( ! [U_264,U_262] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(U_264,tyop_2Emin_2Ebool),U_262))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_264,tyop_2Emin_2Ebool),U_262),s(U_264,sK9(U_264,U_262)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) )
& ! [U_263,U_261] :
( ! [U_257] : s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_263,tyop_2Emin_2Ebool),U_261),s(U_263,U_257))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(U_263,tyop_2Emin_2Ebool),U_261)))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(U_258,sK9(U_264,U_262))],[f_67_3]) ).
cnf(f_67_5,plain,
( s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_263,tyop_2Emin_2Ebool),U_261),s(U_263,U_257))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(U_263,tyop_2Emin_2Ebool),U_261)))) ),
inference(clausify,[status(thm)],[f_67_4]) ).
cnf(f_67_6,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(U_264,tyop_2Emin_2Ebool),U_262))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_264,tyop_2Emin_2Ebool),U_262),s(U_264,sK9(U_264,U_262)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
inference(clausify,[status(thm)],[f_67_4]) ).
fof(f_68_1,plain,
! [A_27a,V0x_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(A_27a,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0))))),
inference(fof_nnf,[status(thm)],[thm_2Ebool_2EEXISTS__DEF]) ).
fof(f_68_2,plain,
! [U_266,U_265] : s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(U_266,tyop_2Emin_2Ebool),U_265))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_266,tyop_2Emin_2Ebool),U_265),s(U_266,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(U_266,tyop_2Emin_2Ebool),U_265))))),
inference(variable_rename,[status(thm)],[f_68_1]) ).
cnf(f_68_3,plain,
s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(U_266,tyop_2Emin_2Ebool),U_265))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_266,tyop_2Emin_2Ebool),U_265),s(U_266,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(U_266,tyop_2Emin_2Ebool),U_265))))),
inference(clausify,[status(thm)],[f_68_2]) ).
fof(f_69_1,plain,
! [V0x_2E0,V1x_27_2E0] :
( ( ( p(s(tyop_2Emin_2Ebool,V1x_27_2E0))
& p(s(tyop_2Emin_2Ebool,V0x_2E0)) )
| ? [V2t_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,V2t_2E0))
& ( p(s(tyop_2Emin_2Ebool,V2t_2E0))
| ~ p(s(tyop_2Emin_2Ebool,V1x_27_2E0))
| ~ p(s(tyop_2Emin_2Ebool,V0x_2E0)) ) ) )
& ( ! [V2t_2E0] :
( p(s(tyop_2Emin_2Ebool,V2t_2E0))
| ( ~ p(s(tyop_2Emin_2Ebool,V2t_2E0))
& p(s(tyop_2Emin_2Ebool,V1x_27_2E0))
& p(s(tyop_2Emin_2Ebool,V0x_2E0)) ) )
| ~ p(s(tyop_2Emin_2Ebool,V1x_27_2E0))
| ~ p(s(tyop_2Emin_2Ebool,V0x_2E0)) ) ),
inference(fof_nnf,[status(thm)],[thm_2Ebool_2EAND__DEF]) ).
fof(f_69_2,plain,
! [U_270,U_269] :
( ( ( p(s(tyop_2Emin_2Ebool,U_269))
& p(s(tyop_2Emin_2Ebool,U_270)) )
| ? [U_268] :
( ~ p(s(tyop_2Emin_2Ebool,U_268))
& ( p(s(tyop_2Emin_2Ebool,U_268))
| ~ p(s(tyop_2Emin_2Ebool,U_269))
| ~ p(s(tyop_2Emin_2Ebool,U_270)) ) ) )
& ( ! [U_267] :
( p(s(tyop_2Emin_2Ebool,U_267))
| ( ~ p(s(tyop_2Emin_2Ebool,U_267))
& p(s(tyop_2Emin_2Ebool,U_269))
& p(s(tyop_2Emin_2Ebool,U_270)) ) )
| ~ p(s(tyop_2Emin_2Ebool,U_269))
| ~ p(s(tyop_2Emin_2Ebool,U_270)) ) ),
inference(variable_rename,[status(thm)],[f_69_1]) ).
fof(f_69_3,plain,
( ! [U_274,U_272] :
( ( p(s(tyop_2Emin_2Ebool,U_272))
& p(s(tyop_2Emin_2Ebool,U_274)) )
| ? [U_268] :
( ~ p(s(tyop_2Emin_2Ebool,U_268))
& ( p(s(tyop_2Emin_2Ebool,U_268))
| ~ p(s(tyop_2Emin_2Ebool,U_272))
| ~ p(s(tyop_2Emin_2Ebool,U_274)) ) ) )
& ! [U_273,U_271] :
( ! [U_267] :
( p(s(tyop_2Emin_2Ebool,U_267))
| ( ~ p(s(tyop_2Emin_2Ebool,U_267))
& p(s(tyop_2Emin_2Ebool,U_271))
& p(s(tyop_2Emin_2Ebool,U_273)) ) )
| ~ p(s(tyop_2Emin_2Ebool,U_271))
| ~ p(s(tyop_2Emin_2Ebool,U_273)) ) ),
inference(miniscope,[status(thm)],[f_69_2]) ).
fof(f_69_4,plain,
( ! [U_274,U_272] :
( ( p(s(tyop_2Emin_2Ebool,U_272))
& p(s(tyop_2Emin_2Ebool,U_274)) )
| ( ~ p(s(tyop_2Emin_2Ebool,sK10(U_274,U_272)))
& ( p(s(tyop_2Emin_2Ebool,sK10(U_274,U_272)))
| ~ p(s(tyop_2Emin_2Ebool,U_272))
| ~ p(s(tyop_2Emin_2Ebool,U_274)) ) ) )
& ! [U_273,U_271] :
( ! [U_267] :
( p(s(tyop_2Emin_2Ebool,U_267))
| ( ~ p(s(tyop_2Emin_2Ebool,U_267))
& p(s(tyop_2Emin_2Ebool,U_271))
& p(s(tyop_2Emin_2Ebool,U_273)) ) )
| ~ p(s(tyop_2Emin_2Ebool,U_271))
| ~ p(s(tyop_2Emin_2Ebool,U_273)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(U_268,sK10(U_274,U_272))],[f_69_3]) ).
cnf(f_69_5,plain,
( p(s(tyop_2Emin_2Ebool,U_273))
| p(s(tyop_2Emin_2Ebool,U_267))
| ~ p(s(tyop_2Emin_2Ebool,U_271))
| ~ p(s(tyop_2Emin_2Ebool,U_273)) ),
inference(clausify,[status(thm)],[f_69_4]) ).
cnf(f_69_6,plain,
( p(s(tyop_2Emin_2Ebool,U_271))
| p(s(tyop_2Emin_2Ebool,U_267))
| ~ p(s(tyop_2Emin_2Ebool,U_271))
| ~ p(s(tyop_2Emin_2Ebool,U_273)) ),
inference(clausify,[status(thm)],[f_69_4]) ).
cnf(f_69_7,plain,
( ~ p(s(tyop_2Emin_2Ebool,U_267))
| p(s(tyop_2Emin_2Ebool,U_267))
| ~ p(s(tyop_2Emin_2Ebool,U_271))
| ~ p(s(tyop_2Emin_2Ebool,U_273)) ),
inference(clausify,[status(thm)],[f_69_4]) ).
cnf(f_69_8,plain,
( p(s(tyop_2Emin_2Ebool,U_274))
| p(s(tyop_2Emin_2Ebool,sK10(U_274,U_272)))
| ~ p(s(tyop_2Emin_2Ebool,U_272))
| ~ p(s(tyop_2Emin_2Ebool,U_274)) ),
inference(clausify,[status(thm)],[f_69_4]) ).
cnf(f_69_9,plain,
( p(s(tyop_2Emin_2Ebool,U_272))
| p(s(tyop_2Emin_2Ebool,sK10(U_274,U_272)))
| ~ p(s(tyop_2Emin_2Ebool,U_272))
| ~ p(s(tyop_2Emin_2Ebool,U_274)) ),
inference(clausify,[status(thm)],[f_69_4]) ).
cnf(f_69_10,plain,
( p(s(tyop_2Emin_2Ebool,U_274))
| ~ p(s(tyop_2Emin_2Ebool,sK10(U_274,U_272))) ),
inference(clausify,[status(thm)],[f_69_4]) ).
cnf(f_69_11,plain,
( p(s(tyop_2Emin_2Ebool,U_272))
| ~ p(s(tyop_2Emin_2Ebool,sK10(U_274,U_272))) ),
inference(clausify,[status(thm)],[f_69_4]) ).
fof(f_70_1,plain,
! [V0x_2E0,V1x_27_2E0] :
( ( p(s(tyop_2Emin_2Ebool,V1x_27_2E0))
| p(s(tyop_2Emin_2Ebool,V0x_2E0))
| ? [V2t_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,V2t_2E0))
& ( p(s(tyop_2Emin_2Ebool,V2t_2E0))
| ~ p(s(tyop_2Emin_2Ebool,V1x_27_2E0)) )
& ( p(s(tyop_2Emin_2Ebool,V2t_2E0))
| ~ p(s(tyop_2Emin_2Ebool,V0x_2E0)) ) ) )
& ( ! [V2t_2E0] :
( p(s(tyop_2Emin_2Ebool,V2t_2E0))
| ( ~ p(s(tyop_2Emin_2Ebool,V2t_2E0))
& p(s(tyop_2Emin_2Ebool,V1x_27_2E0)) )
| ( ~ p(s(tyop_2Emin_2Ebool,V2t_2E0))
& p(s(tyop_2Emin_2Ebool,V0x_2E0)) ) )
| ( ~ p(s(tyop_2Emin_2Ebool,V1x_27_2E0))
& ~ p(s(tyop_2Emin_2Ebool,V0x_2E0)) ) ) ),
inference(fof_nnf,[status(thm)],[thm_2Ebool_2EOR__DEF]) ).
fof(f_70_2,plain,
! [U_278,U_277] :
( ( p(s(tyop_2Emin_2Ebool,U_277))
| p(s(tyop_2Emin_2Ebool,U_278))
| ? [U_276] :
( ~ p(s(tyop_2Emin_2Ebool,U_276))
& ( p(s(tyop_2Emin_2Ebool,U_276))
| ~ p(s(tyop_2Emin_2Ebool,U_277)) )
& ( p(s(tyop_2Emin_2Ebool,U_276))
| ~ p(s(tyop_2Emin_2Ebool,U_278)) ) ) )
& ( ! [U_275] :
( p(s(tyop_2Emin_2Ebool,U_275))
| ( ~ p(s(tyop_2Emin_2Ebool,U_275))
& p(s(tyop_2Emin_2Ebool,U_277)) )
| ( ~ p(s(tyop_2Emin_2Ebool,U_275))
& p(s(tyop_2Emin_2Ebool,U_278)) ) )
| ( ~ p(s(tyop_2Emin_2Ebool,U_277))
& ~ p(s(tyop_2Emin_2Ebool,U_278)) ) ) ),
inference(variable_rename,[status(thm)],[f_70_1]) ).
fof(f_70_3,plain,
( ! [U_282,U_280] :
( p(s(tyop_2Emin_2Ebool,U_280))
| p(s(tyop_2Emin_2Ebool,U_282))
| ? [U_276] :
( ~ p(s(tyop_2Emin_2Ebool,U_276))
& ( p(s(tyop_2Emin_2Ebool,U_276))
| ~ p(s(tyop_2Emin_2Ebool,U_280)) )
& ( p(s(tyop_2Emin_2Ebool,U_276))
| ~ p(s(tyop_2Emin_2Ebool,U_282)) ) ) )
& ! [U_281,U_279] :
( ! [U_275] :
( p(s(tyop_2Emin_2Ebool,U_275))
| ( ~ p(s(tyop_2Emin_2Ebool,U_275))
& p(s(tyop_2Emin_2Ebool,U_279)) )
| ( ~ p(s(tyop_2Emin_2Ebool,U_275))
& p(s(tyop_2Emin_2Ebool,U_281)) ) )
| ( ~ p(s(tyop_2Emin_2Ebool,U_279))
& ~ p(s(tyop_2Emin_2Ebool,U_281)) ) ) ),
inference(miniscope,[status(thm)],[f_70_2]) ).
fof(f_70_4,plain,
( ! [U_282,U_280] :
( p(s(tyop_2Emin_2Ebool,U_280))
| p(s(tyop_2Emin_2Ebool,U_282))
| ( ~ p(s(tyop_2Emin_2Ebool,sK11(U_282,U_280)))
& ( p(s(tyop_2Emin_2Ebool,sK11(U_282,U_280)))
| ~ p(s(tyop_2Emin_2Ebool,U_280)) )
& ( p(s(tyop_2Emin_2Ebool,sK11(U_282,U_280)))
| ~ p(s(tyop_2Emin_2Ebool,U_282)) ) ) )
& ! [U_281,U_279] :
( ! [U_275] :
( p(s(tyop_2Emin_2Ebool,U_275))
| ( ~ p(s(tyop_2Emin_2Ebool,U_275))
& p(s(tyop_2Emin_2Ebool,U_279)) )
| ( ~ p(s(tyop_2Emin_2Ebool,U_275))
& p(s(tyop_2Emin_2Ebool,U_281)) ) )
| ( ~ p(s(tyop_2Emin_2Ebool,U_279))
& ~ p(s(tyop_2Emin_2Ebool,U_281)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(U_276,sK11(U_282,U_280))],[f_70_3]) ).
cnf(f_70_5,plain,
( p(s(tyop_2Emin_2Ebool,U_279))
| p(s(tyop_2Emin_2Ebool,U_275))
| p(s(tyop_2Emin_2Ebool,U_281))
| ~ p(s(tyop_2Emin_2Ebool,U_281)) ),
inference(clausify,[status(thm)],[f_70_4]) ).
cnf(f_70_6,plain,
( ~ p(s(tyop_2Emin_2Ebool,U_275))
| p(s(tyop_2Emin_2Ebool,U_275))
| p(s(tyop_2Emin_2Ebool,U_281))
| ~ p(s(tyop_2Emin_2Ebool,U_281)) ),
inference(clausify,[status(thm)],[f_70_4]) ).
cnf(f_70_7,plain,
( p(s(tyop_2Emin_2Ebool,U_279))
| p(s(tyop_2Emin_2Ebool,U_275))
| ~ p(s(tyop_2Emin_2Ebool,U_275))
| ~ p(s(tyop_2Emin_2Ebool,U_281)) ),
inference(clausify,[status(thm)],[f_70_4]) ).
cnf(f_70_8,plain,
( ~ p(s(tyop_2Emin_2Ebool,U_275))
| p(s(tyop_2Emin_2Ebool,U_275))
| ~ p(s(tyop_2Emin_2Ebool,U_275))
| ~ p(s(tyop_2Emin_2Ebool,U_281)) ),
inference(clausify,[status(thm)],[f_70_4]) ).
cnf(f_70_9,plain,
( p(s(tyop_2Emin_2Ebool,U_279))
| p(s(tyop_2Emin_2Ebool,U_275))
| p(s(tyop_2Emin_2Ebool,U_281))
| ~ p(s(tyop_2Emin_2Ebool,U_279)) ),
inference(clausify,[status(thm)],[f_70_4]) ).
cnf(f_70_10,plain,
( ~ p(s(tyop_2Emin_2Ebool,U_275))
| p(s(tyop_2Emin_2Ebool,U_275))
| p(s(tyop_2Emin_2Ebool,U_281))
| ~ p(s(tyop_2Emin_2Ebool,U_279)) ),
inference(clausify,[status(thm)],[f_70_4]) ).
cnf(f_70_11,plain,
( p(s(tyop_2Emin_2Ebool,U_279))
| p(s(tyop_2Emin_2Ebool,U_275))
| ~ p(s(tyop_2Emin_2Ebool,U_275))
| ~ p(s(tyop_2Emin_2Ebool,U_279)) ),
inference(clausify,[status(thm)],[f_70_4]) ).
cnf(f_70_12,plain,
( ~ p(s(tyop_2Emin_2Ebool,U_275))
| p(s(tyop_2Emin_2Ebool,U_275))
| ~ p(s(tyop_2Emin_2Ebool,U_275))
| ~ p(s(tyop_2Emin_2Ebool,U_279)) ),
inference(clausify,[status(thm)],[f_70_4]) ).
cnf(f_70_13,plain,
( p(s(tyop_2Emin_2Ebool,sK11(U_282,U_280)))
| ~ p(s(tyop_2Emin_2Ebool,U_282))
| p(s(tyop_2Emin_2Ebool,U_280))
| p(s(tyop_2Emin_2Ebool,U_282)) ),
inference(clausify,[status(thm)],[f_70_4]) ).
cnf(f_70_14,plain,
( p(s(tyop_2Emin_2Ebool,sK11(U_282,U_280)))
| ~ p(s(tyop_2Emin_2Ebool,U_280))
| p(s(tyop_2Emin_2Ebool,U_280))
| p(s(tyop_2Emin_2Ebool,U_282)) ),
inference(clausify,[status(thm)],[f_70_4]) ).
cnf(f_70_15,plain,
( ~ p(s(tyop_2Emin_2Ebool,sK11(U_282,U_280)))
| p(s(tyop_2Emin_2Ebool,U_280))
| p(s(tyop_2Emin_2Ebool,U_282)) ),
inference(clausify,[status(thm)],[f_70_4]) ).
fof(f_71_1,plain,
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ? [V0t_2E0] : ~ p(s(tyop_2Emin_2Ebool,V0t_2E0)) )
& ( ! [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_2EF__DEF]) ).
fof(f_71_2,plain,
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ? [U_284] : ~ p(s(tyop_2Emin_2Ebool,U_284)) )
& ( ! [U_283] : p(s(tyop_2Emin_2Ebool,U_283))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ) ),
inference(variable_rename,[status(thm)],[f_71_1]) ).
fof(f_71_3,plain,
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,sK12)) )
& ( ! [U_283] : p(s(tyop_2Emin_2Ebool,U_283))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(U_284,sK12)],[f_71_2]) ).
cnf(f_71_4,plain,
( p(s(tyop_2Emin_2Ebool,U_283))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(clausify,[status(thm)],[f_71_3]) ).
cnf(f_71_5,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,sK12)) ),
inference(clausify,[status(thm)],[f_71_3]) ).
fof(f_72_1,plain,
! [V0x_2E0] :
( ( ~ p(s(tyop_2Emin_2Ebool,V0x_2E0))
| ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
& p(s(tyop_2Emin_2Ebool,V0x_2E0)) ) )
& ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,V0x_2E0))
| p(s(tyop_2Emin_2Ebool,V0x_2E0)) ) ),
inference(fof_nnf,[status(thm)],[thm_2Ebool_2ENOT__DEF]) ).
fof(f_72_2,plain,
! [U_285] :
( ( ~ p(s(tyop_2Emin_2Ebool,U_285))
| ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
& p(s(tyop_2Emin_2Ebool,U_285)) ) )
& ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,U_285))
| p(s(tyop_2Emin_2Ebool,U_285)) ) ),
inference(variable_rename,[status(thm)],[f_72_1]) ).
fof(f_72_3,plain,
( ! [U_287] :
( ~ p(s(tyop_2Emin_2Ebool,U_287))
| ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
& p(s(tyop_2Emin_2Ebool,U_287)) ) )
& ! [U_286] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,U_286))
| p(s(tyop_2Emin_2Ebool,U_286)) ) ),
inference(miniscope,[status(thm)],[f_72_2]) ).
cnf(f_72_4,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,U_286))
| p(s(tyop_2Emin_2Ebool,U_286)) ),
inference(clausify,[status(thm)],[f_72_3]) ).
cnf(f_72_5,plain,
( p(s(tyop_2Emin_2Ebool,U_287))
| ~ p(s(tyop_2Emin_2Ebool,U_287)) ),
inference(clausify,[status(thm)],[f_72_3]) ).
cnf(f_72_6,plain,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,U_287)) ),
inference(clausify,[status(thm)],[f_72_3]) ).
fof(f_73_1,plain,
! [A_27a,V0x_2E0] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0))))
| ? [V1x_2E0,V2y_2E0] :
( s(A_27a,V1x_2E0) != s(A_27a,V2y_2E0)
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(A_27a,V2y_2E0))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_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),V0x_2E0)))) )
& ( ( ! [V1x_2E0,V2y_2E0] :
( s(A_27a,V1x_2E0) = s(A_27a,V2y_2E0)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(A_27a,V2y_2E0))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_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),V0x_2E0)))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0)))) ) ),
inference(fof_nnf,[status(thm)],[thm_2Ebool_2EEXISTS__UNIQUE__DEF]) ).
fof(f_73_2,plain,
! [U_293,U_292] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_21_2E1(s(tyop_2Emin_2Efun(U_293,tyop_2Emin_2Ebool),U_292))))
| ? [U_291,U_290] :
( s(U_293,U_291) != s(U_293,U_290)
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_293,tyop_2Emin_2Ebool),U_292),s(U_293,U_290))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_293,tyop_2Emin_2Ebool),U_292),s(U_293,U_291)))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(U_293,tyop_2Emin_2Ebool),U_292)))) )
& ( ( ! [U_289,U_288] :
( s(U_293,U_289) = s(U_293,U_288)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_293,tyop_2Emin_2Ebool),U_292),s(U_293,U_288))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_293,tyop_2Emin_2Ebool),U_292),s(U_293,U_289)))) )
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(U_293,tyop_2Emin_2Ebool),U_292)))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_21_2E1(s(tyop_2Emin_2Efun(U_293,tyop_2Emin_2Ebool),U_292)))) ) ),
inference(variable_rename,[status(thm)],[f_73_1]) ).
fof(f_73_3,plain,
( ! [U_297,U_295] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_21_2E1(s(tyop_2Emin_2Efun(U_297,tyop_2Emin_2Ebool),U_295))))
| ? [U_291,U_290] :
( s(U_297,U_291) != s(U_297,U_290)
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_297,tyop_2Emin_2Ebool),U_295),s(U_297,U_290))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_297,tyop_2Emin_2Ebool),U_295),s(U_297,U_291)))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(U_297,tyop_2Emin_2Ebool),U_295)))) )
& ! [U_296,U_294] :
( ( ! [U_289,U_288] :
( s(U_296,U_289) = s(U_296,U_288)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_296,tyop_2Emin_2Ebool),U_294),s(U_296,U_288))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_296,tyop_2Emin_2Ebool),U_294),s(U_296,U_289)))) )
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(U_296,tyop_2Emin_2Ebool),U_294)))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_21_2E1(s(tyop_2Emin_2Efun(U_296,tyop_2Emin_2Ebool),U_294)))) ) ),
inference(miniscope,[status(thm)],[f_73_2]) ).
fof(f_73_4,plain,
( ! [U_297,U_295] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_21_2E1(s(tyop_2Emin_2Efun(U_297,tyop_2Emin_2Ebool),U_295))))
| ? [U_290] :
( s(U_297,sK13(U_297,U_295)) != s(U_297,U_290)
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_297,tyop_2Emin_2Ebool),U_295),s(U_297,U_290))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_297,tyop_2Emin_2Ebool),U_295),s(U_297,sK13(U_297,U_295))))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(U_297,tyop_2Emin_2Ebool),U_295)))) )
& ! [U_296,U_294] :
( ( ! [U_289,U_288] :
( s(U_296,U_289) = s(U_296,U_288)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_296,tyop_2Emin_2Ebool),U_294),s(U_296,U_288))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_296,tyop_2Emin_2Ebool),U_294),s(U_296,U_289)))) )
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(U_296,tyop_2Emin_2Ebool),U_294)))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_21_2E1(s(tyop_2Emin_2Efun(U_296,tyop_2Emin_2Ebool),U_294)))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(U_291,sK13(U_297,U_295))],[f_73_3]) ).
fof(f_73_5,plain,
( ! [U_297,U_295] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_21_2E1(s(tyop_2Emin_2Efun(U_297,tyop_2Emin_2Ebool),U_295))))
| ( s(U_297,sK13(U_297,U_295)) != s(U_297,sK14(U_297,U_295))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_297,tyop_2Emin_2Ebool),U_295),s(U_297,sK14(U_297,U_295)))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_297,tyop_2Emin_2Ebool),U_295),s(U_297,sK13(U_297,U_295))))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(U_297,tyop_2Emin_2Ebool),U_295)))) )
& ! [U_296,U_294] :
( ( ! [U_289,U_288] :
( s(U_296,U_289) = s(U_296,U_288)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_296,tyop_2Emin_2Ebool),U_294),s(U_296,U_288))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_296,tyop_2Emin_2Ebool),U_294),s(U_296,U_289)))) )
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(U_296,tyop_2Emin_2Ebool),U_294)))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_21_2E1(s(tyop_2Emin_2Efun(U_296,tyop_2Emin_2Ebool),U_294)))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(U_290,sK14(U_297,U_295))],[f_73_4]) ).
cnf(f_73_6,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(U_296,tyop_2Emin_2Ebool),U_294))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_21_2E1(s(tyop_2Emin_2Efun(U_296,tyop_2Emin_2Ebool),U_294)))) ),
inference(clausify,[status(thm)],[f_73_5]) ).
cnf(f_73_7,plain,
( s(U_296,U_289) = s(U_296,U_288)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_296,tyop_2Emin_2Ebool),U_294),s(U_296,U_288))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_296,tyop_2Emin_2Ebool),U_294),s(U_296,U_289))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_21_2E1(s(tyop_2Emin_2Efun(U_296,tyop_2Emin_2Ebool),U_294)))) ),
inference(clausify,[status(thm)],[f_73_5]) ).
cnf(f_73_8,plain,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_297,tyop_2Emin_2Ebool),U_295),s(U_297,sK13(U_297,U_295)))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(U_297,tyop_2Emin_2Ebool),U_295))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_21_2E1(s(tyop_2Emin_2Efun(U_297,tyop_2Emin_2Ebool),U_295)))) ),
inference(clausify,[status(thm)],[f_73_5]) ).
cnf(f_73_9,plain,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_297,tyop_2Emin_2Ebool),U_295),s(U_297,sK14(U_297,U_295)))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(U_297,tyop_2Emin_2Ebool),U_295))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_21_2E1(s(tyop_2Emin_2Efun(U_297,tyop_2Emin_2Ebool),U_295)))) ),
inference(clausify,[status(thm)],[f_73_5]) ).
cnf(f_73_10,plain,
( s(U_297,sK13(U_297,U_295)) != s(U_297,sK14(U_297,U_295))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(U_297,tyop_2Emin_2Ebool),U_295))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_21_2E1(s(tyop_2Emin_2Efun(U_297,tyop_2Emin_2Ebool),U_295)))) ),
inference(clausify,[status(thm)],[f_73_5]) ).
fof(f_74_1,plain,
! [A_27a,A_27b,V0x_2E0,V1x_27_2E0] : s(A_27b,c_2Ebool_2ELET_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0),s(A_27a,V1x_27_2E0))) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0),s(A_27a,V1x_27_2E0))),
inference(fof_nnf,[status(thm)],[thm_2Ebool_2ELET__DEF]) ).
fof(f_74_2,plain,
! [U_301,U_300,U_299,U_298] : s(U_300,c_2Ebool_2ELET_2E2(s(tyop_2Emin_2Efun(U_301,U_300),U_299),s(U_301,U_298))) = s(U_300,app_2E2(s(tyop_2Emin_2Efun(U_301,U_300),U_299),s(U_301,U_298))),
inference(variable_rename,[status(thm)],[f_74_1]) ).
cnf(f_74_3,plain,
s(U_300,c_2Ebool_2ELET_2E2(s(tyop_2Emin_2Efun(U_301,U_300),U_299),s(U_301,U_298))) = s(U_300,app_2E2(s(tyop_2Emin_2Efun(U_301,U_300),U_299),s(U_301,U_298))),
inference(clausify,[status(thm)],[f_74_2]) ).
fof(f_75_1,plain,
! [A_27a,F0_2E0] :
( ! [V0x_2E0,V1x_27_2E0,V2x_27_27_2E0] : s(A_27a,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,V0x_2E0),s(A_27a,V1x_27_2E0),s(A_27a,V2x_27_27_2E0))) = s(A_27a,c_2Emin_2E_40_2E1(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)),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)))),F0_2E0),s(tyop_2Emin_2Ebool,V0x_2E0))),s(A_27a,V1x_27_2E0))),s(A_27a,V2x_27_27_2E0)))))
| ? [V0x_2E0,V1x_27_2E0,V2x_27_27_2E0,V3x_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)),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)))),F0_2E0),s(tyop_2Emin_2Ebool,V0x_2E0))),s(A_27a,V1x_27_2E0))),s(A_27a,V2x_27_27_2E0))),s(A_27a,V3x_2E0))))
& ( s(A_27a,V3x_2E0) = s(A_27a,V2x_27_27_2E0)
| s(tyop_2Emin_2Ebool,V0x_2E0) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) )
& ( s(A_27a,V3x_2E0) = s(A_27a,V1x_27_2E0)
| s(tyop_2Emin_2Ebool,V0x_2E0) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ) )
| ( ( ( s(A_27a,V3x_2E0) != s(A_27a,V2x_27_27_2E0)
& s(tyop_2Emin_2Ebool,V0x_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) )
| ( s(A_27a,V3x_2E0) != s(A_27a,V1x_27_2E0)
& s(tyop_2Emin_2Ebool,V0x_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_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)),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)))),F0_2E0),s(tyop_2Emin_2Ebool,V0x_2E0))),s(A_27a,V1x_27_2E0))),s(A_27a,V2x_27_27_2E0))),s(A_27a,V3x_2E0)))) ) ) ),
inference(fof_nnf,[status(thm)],[thm_2Ebool_2ECOND__DEF]) ).
fof(f_75_2,plain,
! [U_310,U_309] :
( ! [U_308,U_307,U_306] : s(U_310,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,U_308),s(U_310,U_307),s(U_310,U_306))) = s(U_310,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)))),U_309),s(tyop_2Emin_2Ebool,U_308))),s(U_310,U_307))),s(U_310,U_306)))))
| ? [U_305,U_304,U_303,U_302] :
( ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)))),U_309),s(tyop_2Emin_2Ebool,U_305))),s(U_310,U_304))),s(U_310,U_303))),s(U_310,U_302))))
& ( s(U_310,U_302) = s(U_310,U_303)
| s(tyop_2Emin_2Ebool,U_305) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) )
& ( s(U_310,U_302) = s(U_310,U_304)
| s(tyop_2Emin_2Ebool,U_305) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ) )
| ( ( ( s(U_310,U_302) != s(U_310,U_303)
& s(tyop_2Emin_2Ebool,U_305) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) )
| ( s(U_310,U_302) != s(U_310,U_304)
& s(tyop_2Emin_2Ebool,U_305) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ) )
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)))),U_309),s(tyop_2Emin_2Ebool,U_305))),s(U_310,U_304))),s(U_310,U_303))),s(U_310,U_302)))) ) ) ),
inference(variable_rename,[status(thm)],[f_75_1]) ).
fof(f_75_3,plain,
! [U_310,U_309] :
( ! [U_308,U_307,U_306] : s(U_310,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,U_308),s(U_310,U_307),s(U_310,U_306))) = s(U_310,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)))),U_309),s(tyop_2Emin_2Ebool,U_308))),s(U_310,U_307))),s(U_310,U_306)))))
| ? [U_318,U_316,U_314,U_312] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)))),U_309),s(tyop_2Emin_2Ebool,U_318))),s(U_310,U_316))),s(U_310,U_314))),s(U_310,U_312))))
& ( s(U_310,U_312) = s(U_310,U_314)
| s(tyop_2Emin_2Ebool,U_318) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) )
& ( s(U_310,U_312) = s(U_310,U_316)
| s(tyop_2Emin_2Ebool,U_318) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ) )
| ? [U_317,U_315,U_313,U_311] :
( ( ( s(U_310,U_311) != s(U_310,U_313)
& s(tyop_2Emin_2Ebool,U_317) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) )
| ( s(U_310,U_311) != s(U_310,U_315)
& s(tyop_2Emin_2Ebool,U_317) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ) )
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)))),U_309),s(tyop_2Emin_2Ebool,U_317))),s(U_310,U_315))),s(U_310,U_313))),s(U_310,U_311)))) ) ),
inference(miniscope,[status(thm)],[f_75_2]) ).
fof(f_75_4,plain,
! [U_310,U_309] :
( ! [U_308,U_307,U_306] : s(U_310,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,U_308),s(U_310,U_307),s(U_310,U_306))) = s(U_310,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)))),U_309),s(tyop_2Emin_2Ebool,U_308))),s(U_310,U_307))),s(U_310,U_306)))))
| ? [U_318,U_316,U_314,U_312] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)))),U_309),s(tyop_2Emin_2Ebool,U_318))),s(U_310,U_316))),s(U_310,U_314))),s(U_310,U_312))))
& ( s(U_310,U_312) = s(U_310,U_314)
| s(tyop_2Emin_2Ebool,U_318) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) )
& ( s(U_310,U_312) = s(U_310,U_316)
| s(tyop_2Emin_2Ebool,U_318) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ) )
| ? [U_315,U_313,U_311] :
( ( ( s(U_310,U_311) != s(U_310,U_313)
& s(tyop_2Emin_2Ebool,sK15(U_310,U_309)) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) )
| ( s(U_310,U_311) != s(U_310,U_315)
& s(tyop_2Emin_2Ebool,sK15(U_310,U_309)) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ) )
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)))),U_309),s(tyop_2Emin_2Ebool,sK15(U_310,U_309)))),s(U_310,U_315))),s(U_310,U_313))),s(U_310,U_311)))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(U_317,sK15(U_310,U_309))],[f_75_3]) ).
fof(f_75_5,plain,
! [U_310,U_309] :
( ! [U_308,U_307,U_306] : s(U_310,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,U_308),s(U_310,U_307),s(U_310,U_306))) = s(U_310,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)))),U_309),s(tyop_2Emin_2Ebool,U_308))),s(U_310,U_307))),s(U_310,U_306)))))
| ? [U_318,U_316,U_314,U_312] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)))),U_309),s(tyop_2Emin_2Ebool,U_318))),s(U_310,U_316))),s(U_310,U_314))),s(U_310,U_312))))
& ( s(U_310,U_312) = s(U_310,U_314)
| s(tyop_2Emin_2Ebool,U_318) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) )
& ( s(U_310,U_312) = s(U_310,U_316)
| s(tyop_2Emin_2Ebool,U_318) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ) )
| ? [U_313,U_311] :
( ( ( s(U_310,U_311) != s(U_310,U_313)
& s(tyop_2Emin_2Ebool,sK15(U_310,U_309)) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) )
| ( s(U_310,U_311) != s(U_310,sK16(U_310,U_309))
& s(tyop_2Emin_2Ebool,sK15(U_310,U_309)) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ) )
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)))),U_309),s(tyop_2Emin_2Ebool,sK15(U_310,U_309)))),s(U_310,sK16(U_310,U_309)))),s(U_310,U_313))),s(U_310,U_311)))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(U_315,sK16(U_310,U_309))],[f_75_4]) ).
fof(f_75_6,plain,
! [U_310,U_309] :
( ! [U_308,U_307,U_306] : s(U_310,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,U_308),s(U_310,U_307),s(U_310,U_306))) = s(U_310,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)))),U_309),s(tyop_2Emin_2Ebool,U_308))),s(U_310,U_307))),s(U_310,U_306)))))
| ? [U_318,U_316,U_314,U_312] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)))),U_309),s(tyop_2Emin_2Ebool,U_318))),s(U_310,U_316))),s(U_310,U_314))),s(U_310,U_312))))
& ( s(U_310,U_312) = s(U_310,U_314)
| s(tyop_2Emin_2Ebool,U_318) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) )
& ( s(U_310,U_312) = s(U_310,U_316)
| s(tyop_2Emin_2Ebool,U_318) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ) )
| ? [U_311] :
( ( ( s(U_310,U_311) != s(U_310,sK17(U_310,U_309))
& s(tyop_2Emin_2Ebool,sK15(U_310,U_309)) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) )
| ( s(U_310,U_311) != s(U_310,sK16(U_310,U_309))
& s(tyop_2Emin_2Ebool,sK15(U_310,U_309)) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ) )
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)))),U_309),s(tyop_2Emin_2Ebool,sK15(U_310,U_309)))),s(U_310,sK16(U_310,U_309)))),s(U_310,sK17(U_310,U_309)))),s(U_310,U_311)))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(U_313,sK17(U_310,U_309))],[f_75_5]) ).
fof(f_75_7,plain,
! [U_310,U_309] :
( ! [U_308,U_307,U_306] : s(U_310,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,U_308),s(U_310,U_307),s(U_310,U_306))) = s(U_310,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)))),U_309),s(tyop_2Emin_2Ebool,U_308))),s(U_310,U_307))),s(U_310,U_306)))))
| ? [U_318,U_316,U_314,U_312] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)))),U_309),s(tyop_2Emin_2Ebool,U_318))),s(U_310,U_316))),s(U_310,U_314))),s(U_310,U_312))))
& ( s(U_310,U_312) = s(U_310,U_314)
| s(tyop_2Emin_2Ebool,U_318) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) )
& ( s(U_310,U_312) = s(U_310,U_316)
| s(tyop_2Emin_2Ebool,U_318) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ) )
| ( ( ( s(U_310,sK18(U_310,U_309)) != s(U_310,sK17(U_310,U_309))
& s(tyop_2Emin_2Ebool,sK15(U_310,U_309)) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) )
| ( s(U_310,sK18(U_310,U_309)) != s(U_310,sK16(U_310,U_309))
& s(tyop_2Emin_2Ebool,sK15(U_310,U_309)) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ) )
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)))),U_309),s(tyop_2Emin_2Ebool,sK15(U_310,U_309)))),s(U_310,sK16(U_310,U_309)))),s(U_310,sK17(U_310,U_309)))),s(U_310,sK18(U_310,U_309))))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(U_311,sK18(U_310,U_309))],[f_75_6]) ).
fof(f_75_8,plain,
! [U_310,U_309] :
( ! [U_308,U_307,U_306] : s(U_310,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,U_308),s(U_310,U_307),s(U_310,U_306))) = s(U_310,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)))),U_309),s(tyop_2Emin_2Ebool,U_308))),s(U_310,U_307))),s(U_310,U_306)))))
| ? [U_316,U_314,U_312] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)))),U_309),s(tyop_2Emin_2Ebool,sK19(U_310,U_309)))),s(U_310,U_316))),s(U_310,U_314))),s(U_310,U_312))))
& ( s(U_310,U_312) = s(U_310,U_314)
| s(tyop_2Emin_2Ebool,sK19(U_310,U_309)) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) )
& ( s(U_310,U_312) = s(U_310,U_316)
| s(tyop_2Emin_2Ebool,sK19(U_310,U_309)) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ) )
| ( ( ( s(U_310,sK18(U_310,U_309)) != s(U_310,sK17(U_310,U_309))
& s(tyop_2Emin_2Ebool,sK15(U_310,U_309)) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) )
| ( s(U_310,sK18(U_310,U_309)) != s(U_310,sK16(U_310,U_309))
& s(tyop_2Emin_2Ebool,sK15(U_310,U_309)) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ) )
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)))),U_309),s(tyop_2Emin_2Ebool,sK15(U_310,U_309)))),s(U_310,sK16(U_310,U_309)))),s(U_310,sK17(U_310,U_309)))),s(U_310,sK18(U_310,U_309))))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(U_318,sK19(U_310,U_309))],[f_75_7]) ).
fof(f_75_9,plain,
! [U_310,U_309] :
( ! [U_308,U_307,U_306] : s(U_310,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,U_308),s(U_310,U_307),s(U_310,U_306))) = s(U_310,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)))),U_309),s(tyop_2Emin_2Ebool,U_308))),s(U_310,U_307))),s(U_310,U_306)))))
| ? [U_314,U_312] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)))),U_309),s(tyop_2Emin_2Ebool,sK19(U_310,U_309)))),s(U_310,sK20(U_310,U_309)))),s(U_310,U_314))),s(U_310,U_312))))
& ( s(U_310,U_312) = s(U_310,U_314)
| s(tyop_2Emin_2Ebool,sK19(U_310,U_309)) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) )
& ( s(U_310,U_312) = s(U_310,sK20(U_310,U_309))
| s(tyop_2Emin_2Ebool,sK19(U_310,U_309)) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ) )
| ( ( ( s(U_310,sK18(U_310,U_309)) != s(U_310,sK17(U_310,U_309))
& s(tyop_2Emin_2Ebool,sK15(U_310,U_309)) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) )
| ( s(U_310,sK18(U_310,U_309)) != s(U_310,sK16(U_310,U_309))
& s(tyop_2Emin_2Ebool,sK15(U_310,U_309)) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ) )
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)))),U_309),s(tyop_2Emin_2Ebool,sK15(U_310,U_309)))),s(U_310,sK16(U_310,U_309)))),s(U_310,sK17(U_310,U_309)))),s(U_310,sK18(U_310,U_309))))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20]),skolemize(U_316,sK20(U_310,U_309))],[f_75_8]) ).
fof(f_75_10,plain,
! [U_310,U_309] :
( ! [U_308,U_307,U_306] : s(U_310,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,U_308),s(U_310,U_307),s(U_310,U_306))) = s(U_310,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)))),U_309),s(tyop_2Emin_2Ebool,U_308))),s(U_310,U_307))),s(U_310,U_306)))))
| ? [U_312] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)))),U_309),s(tyop_2Emin_2Ebool,sK19(U_310,U_309)))),s(U_310,sK20(U_310,U_309)))),s(U_310,sK21(U_310,U_309)))),s(U_310,U_312))))
& ( s(U_310,U_312) = s(U_310,sK21(U_310,U_309))
| s(tyop_2Emin_2Ebool,sK19(U_310,U_309)) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) )
& ( s(U_310,U_312) = s(U_310,sK20(U_310,U_309))
| s(tyop_2Emin_2Ebool,sK19(U_310,U_309)) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ) )
| ( ( ( s(U_310,sK18(U_310,U_309)) != s(U_310,sK17(U_310,U_309))
& s(tyop_2Emin_2Ebool,sK15(U_310,U_309)) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) )
| ( s(U_310,sK18(U_310,U_309)) != s(U_310,sK16(U_310,U_309))
& s(tyop_2Emin_2Ebool,sK15(U_310,U_309)) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ) )
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)))),U_309),s(tyop_2Emin_2Ebool,sK15(U_310,U_309)))),s(U_310,sK16(U_310,U_309)))),s(U_310,sK17(U_310,U_309)))),s(U_310,sK18(U_310,U_309))))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21]),skolemize(U_314,sK21(U_310,U_309))],[f_75_9]) ).
fof(f_75_11,plain,
! [U_310,U_309] :
( ! [U_308,U_307,U_306] : s(U_310,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,U_308),s(U_310,U_307),s(U_310,U_306))) = s(U_310,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)))),U_309),s(tyop_2Emin_2Ebool,U_308))),s(U_310,U_307))),s(U_310,U_306)))))
| ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)))),U_309),s(tyop_2Emin_2Ebool,sK19(U_310,U_309)))),s(U_310,sK20(U_310,U_309)))),s(U_310,sK21(U_310,U_309)))),s(U_310,sK22(U_310,U_309)))))
& ( s(U_310,sK22(U_310,U_309)) = s(U_310,sK21(U_310,U_309))
| s(tyop_2Emin_2Ebool,sK19(U_310,U_309)) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) )
& ( s(U_310,sK22(U_310,U_309)) = s(U_310,sK20(U_310,U_309))
| s(tyop_2Emin_2Ebool,sK19(U_310,U_309)) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ) )
| ( ( ( s(U_310,sK18(U_310,U_309)) != s(U_310,sK17(U_310,U_309))
& s(tyop_2Emin_2Ebool,sK15(U_310,U_309)) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) )
| ( s(U_310,sK18(U_310,U_309)) != s(U_310,sK16(U_310,U_309))
& s(tyop_2Emin_2Ebool,sK15(U_310,U_309)) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ) )
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)))),U_309),s(tyop_2Emin_2Ebool,sK15(U_310,U_309)))),s(U_310,sK16(U_310,U_309)))),s(U_310,sK17(U_310,U_309)))),s(U_310,sK18(U_310,U_309))))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22]),skolemize(U_312,sK22(U_310,U_309))],[f_75_10]) ).
cnf(f_75_12,plain,
( s(U_310,sK22(U_310,U_309)) = s(U_310,sK20(U_310,U_309))
| s(tyop_2Emin_2Ebool,sK19(U_310,U_309)) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)))),U_309),s(tyop_2Emin_2Ebool,sK15(U_310,U_309)))),s(U_310,sK16(U_310,U_309)))),s(U_310,sK17(U_310,U_309)))),s(U_310,sK18(U_310,U_309)))))
| s(U_310,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,U_308),s(U_310,U_307),s(U_310,U_306))) = s(U_310,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)))),U_309),s(tyop_2Emin_2Ebool,U_308))),s(U_310,U_307))),s(U_310,U_306))))) ),
inference(clausify,[status(thm)],[f_75_11]) ).
cnf(f_75_13,plain,
( s(U_310,sK22(U_310,U_309)) = s(U_310,sK21(U_310,U_309))
| s(tyop_2Emin_2Ebool,sK19(U_310,U_309)) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)))),U_309),s(tyop_2Emin_2Ebool,sK15(U_310,U_309)))),s(U_310,sK16(U_310,U_309)))),s(U_310,sK17(U_310,U_309)))),s(U_310,sK18(U_310,U_309)))))
| s(U_310,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,U_308),s(U_310,U_307),s(U_310,U_306))) = s(U_310,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)))),U_309),s(tyop_2Emin_2Ebool,U_308))),s(U_310,U_307))),s(U_310,U_306))))) ),
inference(clausify,[status(thm)],[f_75_11]) ).
cnf(f_75_14,plain,
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)))),U_309),s(tyop_2Emin_2Ebool,sK19(U_310,U_309)))),s(U_310,sK20(U_310,U_309)))),s(U_310,sK21(U_310,U_309)))),s(U_310,sK22(U_310,U_309)))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)))),U_309),s(tyop_2Emin_2Ebool,sK15(U_310,U_309)))),s(U_310,sK16(U_310,U_309)))),s(U_310,sK17(U_310,U_309)))),s(U_310,sK18(U_310,U_309)))))
| s(U_310,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,U_308),s(U_310,U_307),s(U_310,U_306))) = s(U_310,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)))),U_309),s(tyop_2Emin_2Ebool,U_308))),s(U_310,U_307))),s(U_310,U_306))))) ),
inference(clausify,[status(thm)],[f_75_11]) ).
cnf(f_75_15,plain,
( s(tyop_2Emin_2Ebool,sK15(U_310,U_309)) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| s(tyop_2Emin_2Ebool,sK15(U_310,U_309)) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| s(U_310,sK22(U_310,U_309)) = s(U_310,sK20(U_310,U_309))
| s(tyop_2Emin_2Ebool,sK19(U_310,U_309)) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| s(U_310,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,U_308),s(U_310,U_307),s(U_310,U_306))) = s(U_310,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)))),U_309),s(tyop_2Emin_2Ebool,U_308))),s(U_310,U_307))),s(U_310,U_306))))) ),
inference(clausify,[status(thm)],[f_75_11]) ).
cnf(f_75_16,plain,
( s(U_310,sK18(U_310,U_309)) != s(U_310,sK17(U_310,U_309))
| s(tyop_2Emin_2Ebool,sK15(U_310,U_309)) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| s(U_310,sK22(U_310,U_309)) = s(U_310,sK20(U_310,U_309))
| s(tyop_2Emin_2Ebool,sK19(U_310,U_309)) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| s(U_310,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,U_308),s(U_310,U_307),s(U_310,U_306))) = s(U_310,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)))),U_309),s(tyop_2Emin_2Ebool,U_308))),s(U_310,U_307))),s(U_310,U_306))))) ),
inference(clausify,[status(thm)],[f_75_11]) ).
cnf(f_75_17,plain,
( s(tyop_2Emin_2Ebool,sK15(U_310,U_309)) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| s(U_310,sK18(U_310,U_309)) != s(U_310,sK16(U_310,U_309))
| s(U_310,sK22(U_310,U_309)) = s(U_310,sK20(U_310,U_309))
| s(tyop_2Emin_2Ebool,sK19(U_310,U_309)) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| s(U_310,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,U_308),s(U_310,U_307),s(U_310,U_306))) = s(U_310,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)))),U_309),s(tyop_2Emin_2Ebool,U_308))),s(U_310,U_307))),s(U_310,U_306))))) ),
inference(clausify,[status(thm)],[f_75_11]) ).
cnf(f_75_18,plain,
( s(U_310,sK18(U_310,U_309)) != s(U_310,sK17(U_310,U_309))
| s(U_310,sK18(U_310,U_309)) != s(U_310,sK16(U_310,U_309))
| s(U_310,sK22(U_310,U_309)) = s(U_310,sK20(U_310,U_309))
| s(tyop_2Emin_2Ebool,sK19(U_310,U_309)) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| s(U_310,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,U_308),s(U_310,U_307),s(U_310,U_306))) = s(U_310,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)))),U_309),s(tyop_2Emin_2Ebool,U_308))),s(U_310,U_307))),s(U_310,U_306))))) ),
inference(clausify,[status(thm)],[f_75_11]) ).
cnf(f_75_19,plain,
( s(tyop_2Emin_2Ebool,sK15(U_310,U_309)) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| s(tyop_2Emin_2Ebool,sK15(U_310,U_309)) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| s(U_310,sK22(U_310,U_309)) = s(U_310,sK21(U_310,U_309))
| s(tyop_2Emin_2Ebool,sK19(U_310,U_309)) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| s(U_310,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,U_308),s(U_310,U_307),s(U_310,U_306))) = s(U_310,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)))),U_309),s(tyop_2Emin_2Ebool,U_308))),s(U_310,U_307))),s(U_310,U_306))))) ),
inference(clausify,[status(thm)],[f_75_11]) ).
cnf(f_75_20,plain,
( s(U_310,sK18(U_310,U_309)) != s(U_310,sK17(U_310,U_309))
| s(tyop_2Emin_2Ebool,sK15(U_310,U_309)) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| s(U_310,sK22(U_310,U_309)) = s(U_310,sK21(U_310,U_309))
| s(tyop_2Emin_2Ebool,sK19(U_310,U_309)) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| s(U_310,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,U_308),s(U_310,U_307),s(U_310,U_306))) = s(U_310,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)))),U_309),s(tyop_2Emin_2Ebool,U_308))),s(U_310,U_307))),s(U_310,U_306))))) ),
inference(clausify,[status(thm)],[f_75_11]) ).
cnf(f_75_21,plain,
( s(tyop_2Emin_2Ebool,sK15(U_310,U_309)) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| s(U_310,sK18(U_310,U_309)) != s(U_310,sK16(U_310,U_309))
| s(U_310,sK22(U_310,U_309)) = s(U_310,sK21(U_310,U_309))
| s(tyop_2Emin_2Ebool,sK19(U_310,U_309)) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| s(U_310,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,U_308),s(U_310,U_307),s(U_310,U_306))) = s(U_310,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)))),U_309),s(tyop_2Emin_2Ebool,U_308))),s(U_310,U_307))),s(U_310,U_306))))) ),
inference(clausify,[status(thm)],[f_75_11]) ).
cnf(f_75_22,plain,
( s(U_310,sK18(U_310,U_309)) != s(U_310,sK17(U_310,U_309))
| s(U_310,sK18(U_310,U_309)) != s(U_310,sK16(U_310,U_309))
| s(U_310,sK22(U_310,U_309)) = s(U_310,sK21(U_310,U_309))
| s(tyop_2Emin_2Ebool,sK19(U_310,U_309)) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| s(U_310,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,U_308),s(U_310,U_307),s(U_310,U_306))) = s(U_310,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)))),U_309),s(tyop_2Emin_2Ebool,U_308))),s(U_310,U_307))),s(U_310,U_306))))) ),
inference(clausify,[status(thm)],[f_75_11]) ).
cnf(f_75_23,plain,
( s(tyop_2Emin_2Ebool,sK15(U_310,U_309)) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| s(tyop_2Emin_2Ebool,sK15(U_310,U_309)) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)))),U_309),s(tyop_2Emin_2Ebool,sK19(U_310,U_309)))),s(U_310,sK20(U_310,U_309)))),s(U_310,sK21(U_310,U_309)))),s(U_310,sK22(U_310,U_309)))))
| s(U_310,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,U_308),s(U_310,U_307),s(U_310,U_306))) = s(U_310,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)))),U_309),s(tyop_2Emin_2Ebool,U_308))),s(U_310,U_307))),s(U_310,U_306))))) ),
inference(clausify,[status(thm)],[f_75_11]) ).
cnf(f_75_24,plain,
( s(U_310,sK18(U_310,U_309)) != s(U_310,sK17(U_310,U_309))
| s(tyop_2Emin_2Ebool,sK15(U_310,U_309)) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)))),U_309),s(tyop_2Emin_2Ebool,sK19(U_310,U_309)))),s(U_310,sK20(U_310,U_309)))),s(U_310,sK21(U_310,U_309)))),s(U_310,sK22(U_310,U_309)))))
| s(U_310,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,U_308),s(U_310,U_307),s(U_310,U_306))) = s(U_310,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)))),U_309),s(tyop_2Emin_2Ebool,U_308))),s(U_310,U_307))),s(U_310,U_306))))) ),
inference(clausify,[status(thm)],[f_75_11]) ).
cnf(f_75_25,plain,
( s(tyop_2Emin_2Ebool,sK15(U_310,U_309)) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| s(U_310,sK18(U_310,U_309)) != s(U_310,sK16(U_310,U_309))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)))),U_309),s(tyop_2Emin_2Ebool,sK19(U_310,U_309)))),s(U_310,sK20(U_310,U_309)))),s(U_310,sK21(U_310,U_309)))),s(U_310,sK22(U_310,U_309)))))
| s(U_310,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,U_308),s(U_310,U_307),s(U_310,U_306))) = s(U_310,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)))),U_309),s(tyop_2Emin_2Ebool,U_308))),s(U_310,U_307))),s(U_310,U_306))))) ),
inference(clausify,[status(thm)],[f_75_11]) ).
cnf(f_75_26,plain,
( s(U_310,sK18(U_310,U_309)) != s(U_310,sK17(U_310,U_309))
| s(U_310,sK18(U_310,U_309)) != s(U_310,sK16(U_310,U_309))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)))),U_309),s(tyop_2Emin_2Ebool,sK19(U_310,U_309)))),s(U_310,sK20(U_310,U_309)))),s(U_310,sK21(U_310,U_309)))),s(U_310,sK22(U_310,U_309)))))
| s(U_310,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,U_308),s(U_310,U_307),s(U_310,U_306))) = s(U_310,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Efun(U_310,tyop_2Emin_2Ebool)))),U_309),s(tyop_2Emin_2Ebool,U_308))),s(U_310,U_307))),s(U_310,U_306))))) ),
inference(clausify,[status(thm)],[f_75_11]) ).
fof(f_76_1,plain,
! [A_27a,A_27b,V0x_2E0] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONE__ONE_2E1(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0))))
| ? [V1x1_2E0,V2x2_2E0] :
( s(A_27a,V1x1_2E0) != s(A_27a,V2x2_2E0)
& s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0),s(A_27a,V1x1_2E0))) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0),s(A_27a,V2x2_2E0))) ) )
& ( ! [V1x1_2E0,V2x2_2E0] :
( s(A_27a,V1x1_2E0) = s(A_27a,V2x2_2E0)
| s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0),s(A_27a,V1x1_2E0))) != s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0),s(A_27a,V2x2_2E0))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONE__ONE_2E1(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0)))) ) ),
inference(fof_nnf,[status(thm)],[thm_2Ebool_2EONE__ONE__DEF]) ).
fof(f_76_2,plain,
! [U_325,U_324,U_323] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONE__ONE_2E1(s(tyop_2Emin_2Efun(U_325,U_324),U_323))))
| ? [U_322,U_321] :
( s(U_325,U_322) != s(U_325,U_321)
& s(U_324,app_2E2(s(tyop_2Emin_2Efun(U_325,U_324),U_323),s(U_325,U_322))) = s(U_324,app_2E2(s(tyop_2Emin_2Efun(U_325,U_324),U_323),s(U_325,U_321))) ) )
& ( ! [U_320,U_319] :
( s(U_325,U_320) = s(U_325,U_319)
| s(U_324,app_2E2(s(tyop_2Emin_2Efun(U_325,U_324),U_323),s(U_325,U_320))) != s(U_324,app_2E2(s(tyop_2Emin_2Efun(U_325,U_324),U_323),s(U_325,U_319))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONE__ONE_2E1(s(tyop_2Emin_2Efun(U_325,U_324),U_323)))) ) ),
inference(variable_rename,[status(thm)],[f_76_1]) ).
fof(f_76_3,plain,
( ! [U_331,U_329,U_327] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONE__ONE_2E1(s(tyop_2Emin_2Efun(U_331,U_329),U_327))))
| ? [U_322,U_321] :
( s(U_331,U_322) != s(U_331,U_321)
& s(U_329,app_2E2(s(tyop_2Emin_2Efun(U_331,U_329),U_327),s(U_331,U_322))) = s(U_329,app_2E2(s(tyop_2Emin_2Efun(U_331,U_329),U_327),s(U_331,U_321))) ) )
& ! [U_330,U_328,U_326] :
( ! [U_320,U_319] :
( s(U_330,U_320) = s(U_330,U_319)
| s(U_328,app_2E2(s(tyop_2Emin_2Efun(U_330,U_328),U_326),s(U_330,U_320))) != s(U_328,app_2E2(s(tyop_2Emin_2Efun(U_330,U_328),U_326),s(U_330,U_319))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONE__ONE_2E1(s(tyop_2Emin_2Efun(U_330,U_328),U_326)))) ) ),
inference(miniscope,[status(thm)],[f_76_2]) ).
fof(f_76_4,plain,
( ! [U_331,U_329,U_327] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONE__ONE_2E1(s(tyop_2Emin_2Efun(U_331,U_329),U_327))))
| ? [U_321] :
( s(U_331,sK23(U_331,U_329,U_327)) != s(U_331,U_321)
& s(U_329,app_2E2(s(tyop_2Emin_2Efun(U_331,U_329),U_327),s(U_331,sK23(U_331,U_329,U_327)))) = s(U_329,app_2E2(s(tyop_2Emin_2Efun(U_331,U_329),U_327),s(U_331,U_321))) ) )
& ! [U_330,U_328,U_326] :
( ! [U_320,U_319] :
( s(U_330,U_320) = s(U_330,U_319)
| s(U_328,app_2E2(s(tyop_2Emin_2Efun(U_330,U_328),U_326),s(U_330,U_320))) != s(U_328,app_2E2(s(tyop_2Emin_2Efun(U_330,U_328),U_326),s(U_330,U_319))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONE__ONE_2E1(s(tyop_2Emin_2Efun(U_330,U_328),U_326)))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23]),skolemize(U_322,sK23(U_331,U_329,U_327))],[f_76_3]) ).
fof(f_76_5,plain,
( ! [U_331,U_329,U_327] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONE__ONE_2E1(s(tyop_2Emin_2Efun(U_331,U_329),U_327))))
| ( s(U_331,sK23(U_331,U_329,U_327)) != s(U_331,sK24(U_331,U_329,U_327))
& s(U_329,app_2E2(s(tyop_2Emin_2Efun(U_331,U_329),U_327),s(U_331,sK23(U_331,U_329,U_327)))) = s(U_329,app_2E2(s(tyop_2Emin_2Efun(U_331,U_329),U_327),s(U_331,sK24(U_331,U_329,U_327)))) ) )
& ! [U_330,U_328,U_326] :
( ! [U_320,U_319] :
( s(U_330,U_320) = s(U_330,U_319)
| s(U_328,app_2E2(s(tyop_2Emin_2Efun(U_330,U_328),U_326),s(U_330,U_320))) != s(U_328,app_2E2(s(tyop_2Emin_2Efun(U_330,U_328),U_326),s(U_330,U_319))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONE__ONE_2E1(s(tyop_2Emin_2Efun(U_330,U_328),U_326)))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24]),skolemize(U_321,sK24(U_331,U_329,U_327))],[f_76_4]) ).
cnf(f_76_6,plain,
( s(U_330,U_320) = s(U_330,U_319)
| s(U_328,app_2E2(s(tyop_2Emin_2Efun(U_330,U_328),U_326),s(U_330,U_320))) != s(U_328,app_2E2(s(tyop_2Emin_2Efun(U_330,U_328),U_326),s(U_330,U_319)))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONE__ONE_2E1(s(tyop_2Emin_2Efun(U_330,U_328),U_326)))) ),
inference(clausify,[status(thm)],[f_76_5]) ).
cnf(f_76_7,plain,
( s(U_329,app_2E2(s(tyop_2Emin_2Efun(U_331,U_329),U_327),s(U_331,sK23(U_331,U_329,U_327)))) = s(U_329,app_2E2(s(tyop_2Emin_2Efun(U_331,U_329),U_327),s(U_331,sK24(U_331,U_329,U_327))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONE__ONE_2E1(s(tyop_2Emin_2Efun(U_331,U_329),U_327)))) ),
inference(clausify,[status(thm)],[f_76_5]) ).
cnf(f_76_8,plain,
( s(U_331,sK23(U_331,U_329,U_327)) != s(U_331,sK24(U_331,U_329,U_327))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONE__ONE_2E1(s(tyop_2Emin_2Efun(U_331,U_329),U_327)))) ),
inference(clausify,[status(thm)],[f_76_5]) ).
fof(f_77_1,plain,
! [A_27a,A_27b,V0x_2E0] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONTO_2E1(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0))))
| ? [V1y_2E0] :
! [V2x_2E0] : s(A_27b,V1y_2E0) != s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0),s(A_27a,V2x_2E0))) )
& ( ! [V1y_2E0] :
? [V2x_2E0] : s(A_27b,V1y_2E0) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0),s(A_27a,V2x_2E0)))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONTO_2E1(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0)))) ) ),
inference(fof_nnf,[status(thm)],[thm_2Ebool_2EONTO__DEF]) ).
fof(f_77_2,plain,
! [U_338,U_337,U_336] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONTO_2E1(s(tyop_2Emin_2Efun(U_338,U_337),U_336))))
| ? [U_335] :
! [U_334] : s(U_337,U_335) != s(U_337,app_2E2(s(tyop_2Emin_2Efun(U_338,U_337),U_336),s(U_338,U_334))) )
& ( ! [U_333] :
? [U_332] : s(U_337,U_333) = s(U_337,app_2E2(s(tyop_2Emin_2Efun(U_338,U_337),U_336),s(U_338,U_332)))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONTO_2E1(s(tyop_2Emin_2Efun(U_338,U_337),U_336)))) ) ),
inference(variable_rename,[status(thm)],[f_77_1]) ).
fof(f_77_3,plain,
( ! [U_344,U_342,U_340] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONTO_2E1(s(tyop_2Emin_2Efun(U_344,U_342),U_340))))
| ? [U_335] :
! [U_334] : s(U_342,U_335) != s(U_342,app_2E2(s(tyop_2Emin_2Efun(U_344,U_342),U_340),s(U_344,U_334))) )
& ! [U_343,U_341,U_339] :
( ! [U_333] :
? [U_332] : s(U_341,U_333) = s(U_341,app_2E2(s(tyop_2Emin_2Efun(U_343,U_341),U_339),s(U_343,U_332)))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONTO_2E1(s(tyop_2Emin_2Efun(U_343,U_341),U_339)))) ) ),
inference(miniscope,[status(thm)],[f_77_2]) ).
fof(f_77_4,plain,
( ! [U_344,U_342,U_340] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONTO_2E1(s(tyop_2Emin_2Efun(U_344,U_342),U_340))))
| ? [U_335] :
! [U_334] : s(U_342,U_335) != s(U_342,app_2E2(s(tyop_2Emin_2Efun(U_344,U_342),U_340),s(U_344,U_334))) )
& ! [U_343,U_341,U_339] :
( ! [U_333] : s(U_341,U_333) = s(U_341,app_2E2(s(tyop_2Emin_2Efun(U_343,U_341),U_339),s(U_343,sK25(U_343,U_341,U_339,U_333))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONTO_2E1(s(tyop_2Emin_2Efun(U_343,U_341),U_339)))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25]),skolemize(U_332,sK25(U_343,U_341,U_339,U_333))],[f_77_3]) ).
fof(f_77_5,plain,
( ! [U_344,U_342,U_340] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONTO_2E1(s(tyop_2Emin_2Efun(U_344,U_342),U_340))))
| ! [U_334] : s(U_342,sK26(U_344,U_342,U_340)) != s(U_342,app_2E2(s(tyop_2Emin_2Efun(U_344,U_342),U_340),s(U_344,U_334))) )
& ! [U_343,U_341,U_339] :
( ! [U_333] : s(U_341,U_333) = s(U_341,app_2E2(s(tyop_2Emin_2Efun(U_343,U_341),U_339),s(U_343,sK25(U_343,U_341,U_339,U_333))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONTO_2E1(s(tyop_2Emin_2Efun(U_343,U_341),U_339)))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26]),skolemize(U_335,sK26(U_344,U_342,U_340))],[f_77_4]) ).
cnf(f_77_6,plain,
( s(U_341,U_333) = s(U_341,app_2E2(s(tyop_2Emin_2Efun(U_343,U_341),U_339),s(U_343,sK25(U_343,U_341,U_339,U_333))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONTO_2E1(s(tyop_2Emin_2Efun(U_343,U_341),U_339)))) ),
inference(clausify,[status(thm)],[f_77_5]) ).
cnf(f_77_7,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONTO_2E1(s(tyop_2Emin_2Efun(U_344,U_342),U_340))))
| s(U_342,sK26(U_344,U_342,U_340)) != s(U_342,app_2E2(s(tyop_2Emin_2Efun(U_344,U_342),U_340),s(U_344,U_334))) ),
inference(clausify,[status(thm)],[f_77_5]) ).
fof(f_78_1,plain,
! [A_27a,A_27b,V0x_2E0,V1x_27_2E0] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ETYPE__DEFINITION_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(tyop_2Emin_2Efun(A_27b,A_27a),V1x_27_2E0))))
| ? [V4x_2E0] :
( ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(A_27a,V4x_2E0))))
& ? [V5x_27_2E0] : s(A_27a,V4x_2E0) = s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27a),V1x_27_2E0),s(A_27b,V5x_27_2E0))) )
| ( ! [V5x_27_2E0] : s(A_27a,V4x_2E0) != s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27a),V1x_27_2E0),s(A_27b,V5x_27_2E0)))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(A_27a,V4x_2E0)))) ) )
| ? [V2x_27_2E0,V3x_27_27_2E0] :
( s(A_27b,V2x_27_2E0) != s(A_27b,V3x_27_27_2E0)
& s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27a),V1x_27_2E0),s(A_27b,V2x_27_2E0))) = s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27a),V1x_27_2E0),s(A_27b,V3x_27_27_2E0))) ) )
& ( ( ! [V4x_2E0] :
( ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(A_27a,V4x_2E0))))
| ! [V5x_27_2E0] : s(A_27a,V4x_2E0) != s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27a),V1x_27_2E0),s(A_27b,V5x_27_2E0))) )
& ( ? [V5x_27_2E0] : s(A_27a,V4x_2E0) = s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27a),V1x_27_2E0),s(A_27b,V5x_27_2E0)))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(A_27a,V4x_2E0)))) ) )
& ! [V2x_27_2E0,V3x_27_27_2E0] :
( s(A_27b,V2x_27_2E0) = s(A_27b,V3x_27_27_2E0)
| s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27a),V1x_27_2E0),s(A_27b,V2x_27_2E0))) != s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27a),V1x_27_2E0),s(A_27b,V3x_27_27_2E0))) ) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ETYPE__DEFINITION_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(tyop_2Emin_2Efun(A_27b,A_27a),V1x_27_2E0)))) ) ),
inference(fof_nnf,[status(thm)],[thm_2Ebool_2ETYPE__DEFINITION]) ).
fof(f_78_2,plain,
! [U_358,U_357,U_356,U_355] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ETYPE__DEFINITION_2E2(s(tyop_2Emin_2Efun(U_358,tyop_2Emin_2Ebool),U_356),s(tyop_2Emin_2Efun(U_357,U_358),U_355))))
| ? [U_354] :
( ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_358,tyop_2Emin_2Ebool),U_356),s(U_358,U_354))))
& ? [U_353] : s(U_358,U_354) = s(U_358,app_2E2(s(tyop_2Emin_2Efun(U_357,U_358),U_355),s(U_357,U_353))) )
| ( ! [U_352] : s(U_358,U_354) != s(U_358,app_2E2(s(tyop_2Emin_2Efun(U_357,U_358),U_355),s(U_357,U_352)))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_358,tyop_2Emin_2Ebool),U_356),s(U_358,U_354)))) ) )
| ? [U_351,U_350] :
( s(U_357,U_351) != s(U_357,U_350)
& s(U_358,app_2E2(s(tyop_2Emin_2Efun(U_357,U_358),U_355),s(U_357,U_351))) = s(U_358,app_2E2(s(tyop_2Emin_2Efun(U_357,U_358),U_355),s(U_357,U_350))) ) )
& ( ( ! [U_349] :
( ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_358,tyop_2Emin_2Ebool),U_356),s(U_358,U_349))))
| ! [U_348] : s(U_358,U_349) != s(U_358,app_2E2(s(tyop_2Emin_2Efun(U_357,U_358),U_355),s(U_357,U_348))) )
& ( ? [U_347] : s(U_358,U_349) = s(U_358,app_2E2(s(tyop_2Emin_2Efun(U_357,U_358),U_355),s(U_357,U_347)))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_358,tyop_2Emin_2Ebool),U_356),s(U_358,U_349)))) ) )
& ! [U_346,U_345] :
( s(U_357,U_346) = s(U_357,U_345)
| s(U_358,app_2E2(s(tyop_2Emin_2Efun(U_357,U_358),U_355),s(U_357,U_346))) != s(U_358,app_2E2(s(tyop_2Emin_2Efun(U_357,U_358),U_355),s(U_357,U_345))) ) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ETYPE__DEFINITION_2E2(s(tyop_2Emin_2Efun(U_358,tyop_2Emin_2Ebool),U_356),s(tyop_2Emin_2Efun(U_357,U_358),U_355)))) ) ),
inference(variable_rename,[status(thm)],[f_78_1]) ).
fof(f_78_3,plain,
( ! [U_370,U_368,U_366,U_364] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ETYPE__DEFINITION_2E2(s(tyop_2Emin_2Efun(U_370,tyop_2Emin_2Ebool),U_366),s(tyop_2Emin_2Efun(U_368,U_370),U_364))))
| ? [U_362] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_370,tyop_2Emin_2Ebool),U_366),s(U_370,U_362))))
& ? [U_353] : s(U_370,U_362) = s(U_370,app_2E2(s(tyop_2Emin_2Efun(U_368,U_370),U_364),s(U_368,U_353))) )
| ? [U_361] :
( ! [U_352] : s(U_370,U_361) != s(U_370,app_2E2(s(tyop_2Emin_2Efun(U_368,U_370),U_364),s(U_368,U_352)))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_370,tyop_2Emin_2Ebool),U_366),s(U_370,U_361)))) )
| ? [U_351,U_350] :
( s(U_368,U_351) != s(U_368,U_350)
& s(U_370,app_2E2(s(tyop_2Emin_2Efun(U_368,U_370),U_364),s(U_368,U_351))) = s(U_370,app_2E2(s(tyop_2Emin_2Efun(U_368,U_370),U_364),s(U_368,U_350))) ) )
& ! [U_369,U_367,U_365,U_363] :
( ( ! [U_360] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_369,tyop_2Emin_2Ebool),U_365),s(U_369,U_360))))
| ! [U_348] : s(U_369,U_360) != s(U_369,app_2E2(s(tyop_2Emin_2Efun(U_367,U_369),U_363),s(U_367,U_348))) )
& ! [U_359] :
( ? [U_347] : s(U_369,U_359) = s(U_369,app_2E2(s(tyop_2Emin_2Efun(U_367,U_369),U_363),s(U_367,U_347)))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_369,tyop_2Emin_2Ebool),U_365),s(U_369,U_359)))) )
& ! [U_346,U_345] :
( s(U_367,U_346) = s(U_367,U_345)
| s(U_369,app_2E2(s(tyop_2Emin_2Efun(U_367,U_369),U_363),s(U_367,U_346))) != s(U_369,app_2E2(s(tyop_2Emin_2Efun(U_367,U_369),U_363),s(U_367,U_345))) ) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ETYPE__DEFINITION_2E2(s(tyop_2Emin_2Efun(U_369,tyop_2Emin_2Ebool),U_365),s(tyop_2Emin_2Efun(U_367,U_369),U_363)))) ) ),
inference(miniscope,[status(thm)],[f_78_2]) ).
fof(f_78_4,plain,
( ! [U_370,U_368,U_366,U_364] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ETYPE__DEFINITION_2E2(s(tyop_2Emin_2Efun(U_370,tyop_2Emin_2Ebool),U_366),s(tyop_2Emin_2Efun(U_368,U_370),U_364))))
| ? [U_362] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_370,tyop_2Emin_2Ebool),U_366),s(U_370,U_362))))
& ? [U_353] : s(U_370,U_362) = s(U_370,app_2E2(s(tyop_2Emin_2Efun(U_368,U_370),U_364),s(U_368,U_353))) )
| ? [U_361] :
( ! [U_352] : s(U_370,U_361) != s(U_370,app_2E2(s(tyop_2Emin_2Efun(U_368,U_370),U_364),s(U_368,U_352)))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_370,tyop_2Emin_2Ebool),U_366),s(U_370,U_361)))) )
| ? [U_351,U_350] :
( s(U_368,U_351) != s(U_368,U_350)
& s(U_370,app_2E2(s(tyop_2Emin_2Efun(U_368,U_370),U_364),s(U_368,U_351))) = s(U_370,app_2E2(s(tyop_2Emin_2Efun(U_368,U_370),U_364),s(U_368,U_350))) ) )
& ! [U_369,U_367,U_365,U_363] :
( ( ! [U_360] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_369,tyop_2Emin_2Ebool),U_365),s(U_369,U_360))))
| ! [U_348] : s(U_369,U_360) != s(U_369,app_2E2(s(tyop_2Emin_2Efun(U_367,U_369),U_363),s(U_367,U_348))) )
& ! [U_359] :
( s(U_369,U_359) = s(U_369,app_2E2(s(tyop_2Emin_2Efun(U_367,U_369),U_363),s(U_367,sK27(U_369,U_367,U_365,U_363,U_359))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_369,tyop_2Emin_2Ebool),U_365),s(U_369,U_359)))) )
& ! [U_346,U_345] :
( s(U_367,U_346) = s(U_367,U_345)
| s(U_369,app_2E2(s(tyop_2Emin_2Efun(U_367,U_369),U_363),s(U_367,U_346))) != s(U_369,app_2E2(s(tyop_2Emin_2Efun(U_367,U_369),U_363),s(U_367,U_345))) ) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ETYPE__DEFINITION_2E2(s(tyop_2Emin_2Efun(U_369,tyop_2Emin_2Ebool),U_365),s(tyop_2Emin_2Efun(U_367,U_369),U_363)))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK27]),skolemize(U_347,sK27(U_369,U_367,U_365,U_363,U_359))],[f_78_3]) ).
fof(f_78_5,plain,
( ! [U_370,U_368,U_366,U_364] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ETYPE__DEFINITION_2E2(s(tyop_2Emin_2Efun(U_370,tyop_2Emin_2Ebool),U_366),s(tyop_2Emin_2Efun(U_368,U_370),U_364))))
| ? [U_362] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_370,tyop_2Emin_2Ebool),U_366),s(U_370,U_362))))
& ? [U_353] : s(U_370,U_362) = s(U_370,app_2E2(s(tyop_2Emin_2Efun(U_368,U_370),U_364),s(U_368,U_353))) )
| ? [U_361] :
( ! [U_352] : s(U_370,U_361) != s(U_370,app_2E2(s(tyop_2Emin_2Efun(U_368,U_370),U_364),s(U_368,U_352)))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_370,tyop_2Emin_2Ebool),U_366),s(U_370,U_361)))) )
| ? [U_350] :
( s(U_368,sK28(U_370,U_368,U_366,U_364)) != s(U_368,U_350)
& s(U_370,app_2E2(s(tyop_2Emin_2Efun(U_368,U_370),U_364),s(U_368,sK28(U_370,U_368,U_366,U_364)))) = s(U_370,app_2E2(s(tyop_2Emin_2Efun(U_368,U_370),U_364),s(U_368,U_350))) ) )
& ! [U_369,U_367,U_365,U_363] :
( ( ! [U_360] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_369,tyop_2Emin_2Ebool),U_365),s(U_369,U_360))))
| ! [U_348] : s(U_369,U_360) != s(U_369,app_2E2(s(tyop_2Emin_2Efun(U_367,U_369),U_363),s(U_367,U_348))) )
& ! [U_359] :
( s(U_369,U_359) = s(U_369,app_2E2(s(tyop_2Emin_2Efun(U_367,U_369),U_363),s(U_367,sK27(U_369,U_367,U_365,U_363,U_359))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_369,tyop_2Emin_2Ebool),U_365),s(U_369,U_359)))) )
& ! [U_346,U_345] :
( s(U_367,U_346) = s(U_367,U_345)
| s(U_369,app_2E2(s(tyop_2Emin_2Efun(U_367,U_369),U_363),s(U_367,U_346))) != s(U_369,app_2E2(s(tyop_2Emin_2Efun(U_367,U_369),U_363),s(U_367,U_345))) ) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ETYPE__DEFINITION_2E2(s(tyop_2Emin_2Efun(U_369,tyop_2Emin_2Ebool),U_365),s(tyop_2Emin_2Efun(U_367,U_369),U_363)))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK28]),skolemize(U_351,sK28(U_370,U_368,U_366,U_364))],[f_78_4]) ).
fof(f_78_6,plain,
( ! [U_370,U_368,U_366,U_364] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ETYPE__DEFINITION_2E2(s(tyop_2Emin_2Efun(U_370,tyop_2Emin_2Ebool),U_366),s(tyop_2Emin_2Efun(U_368,U_370),U_364))))
| ? [U_362] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_370,tyop_2Emin_2Ebool),U_366),s(U_370,U_362))))
& ? [U_353] : s(U_370,U_362) = s(U_370,app_2E2(s(tyop_2Emin_2Efun(U_368,U_370),U_364),s(U_368,U_353))) )
| ? [U_361] :
( ! [U_352] : s(U_370,U_361) != s(U_370,app_2E2(s(tyop_2Emin_2Efun(U_368,U_370),U_364),s(U_368,U_352)))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_370,tyop_2Emin_2Ebool),U_366),s(U_370,U_361)))) )
| ( s(U_368,sK28(U_370,U_368,U_366,U_364)) != s(U_368,sK29(U_370,U_368,U_366,U_364))
& s(U_370,app_2E2(s(tyop_2Emin_2Efun(U_368,U_370),U_364),s(U_368,sK28(U_370,U_368,U_366,U_364)))) = s(U_370,app_2E2(s(tyop_2Emin_2Efun(U_368,U_370),U_364),s(U_368,sK29(U_370,U_368,U_366,U_364)))) ) )
& ! [U_369,U_367,U_365,U_363] :
( ( ! [U_360] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_369,tyop_2Emin_2Ebool),U_365),s(U_369,U_360))))
| ! [U_348] : s(U_369,U_360) != s(U_369,app_2E2(s(tyop_2Emin_2Efun(U_367,U_369),U_363),s(U_367,U_348))) )
& ! [U_359] :
( s(U_369,U_359) = s(U_369,app_2E2(s(tyop_2Emin_2Efun(U_367,U_369),U_363),s(U_367,sK27(U_369,U_367,U_365,U_363,U_359))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_369,tyop_2Emin_2Ebool),U_365),s(U_369,U_359)))) )
& ! [U_346,U_345] :
( s(U_367,U_346) = s(U_367,U_345)
| s(U_369,app_2E2(s(tyop_2Emin_2Efun(U_367,U_369),U_363),s(U_367,U_346))) != s(U_369,app_2E2(s(tyop_2Emin_2Efun(U_367,U_369),U_363),s(U_367,U_345))) ) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ETYPE__DEFINITION_2E2(s(tyop_2Emin_2Efun(U_369,tyop_2Emin_2Ebool),U_365),s(tyop_2Emin_2Efun(U_367,U_369),U_363)))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK29]),skolemize(U_350,sK29(U_370,U_368,U_366,U_364))],[f_78_5]) ).
fof(f_78_7,plain,
( ! [U_370,U_368,U_366,U_364] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ETYPE__DEFINITION_2E2(s(tyop_2Emin_2Efun(U_370,tyop_2Emin_2Ebool),U_366),s(tyop_2Emin_2Efun(U_368,U_370),U_364))))
| ? [U_362] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_370,tyop_2Emin_2Ebool),U_366),s(U_370,U_362))))
& ? [U_353] : s(U_370,U_362) = s(U_370,app_2E2(s(tyop_2Emin_2Efun(U_368,U_370),U_364),s(U_368,U_353))) )
| ( ! [U_352] : s(U_370,sK30(U_370,U_368,U_366,U_364)) != s(U_370,app_2E2(s(tyop_2Emin_2Efun(U_368,U_370),U_364),s(U_368,U_352)))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_370,tyop_2Emin_2Ebool),U_366),s(U_370,sK30(U_370,U_368,U_366,U_364))))) )
| ( s(U_368,sK28(U_370,U_368,U_366,U_364)) != s(U_368,sK29(U_370,U_368,U_366,U_364))
& s(U_370,app_2E2(s(tyop_2Emin_2Efun(U_368,U_370),U_364),s(U_368,sK28(U_370,U_368,U_366,U_364)))) = s(U_370,app_2E2(s(tyop_2Emin_2Efun(U_368,U_370),U_364),s(U_368,sK29(U_370,U_368,U_366,U_364)))) ) )
& ! [U_369,U_367,U_365,U_363] :
( ( ! [U_360] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_369,tyop_2Emin_2Ebool),U_365),s(U_369,U_360))))
| ! [U_348] : s(U_369,U_360) != s(U_369,app_2E2(s(tyop_2Emin_2Efun(U_367,U_369),U_363),s(U_367,U_348))) )
& ! [U_359] :
( s(U_369,U_359) = s(U_369,app_2E2(s(tyop_2Emin_2Efun(U_367,U_369),U_363),s(U_367,sK27(U_369,U_367,U_365,U_363,U_359))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_369,tyop_2Emin_2Ebool),U_365),s(U_369,U_359)))) )
& ! [U_346,U_345] :
( s(U_367,U_346) = s(U_367,U_345)
| s(U_369,app_2E2(s(tyop_2Emin_2Efun(U_367,U_369),U_363),s(U_367,U_346))) != s(U_369,app_2E2(s(tyop_2Emin_2Efun(U_367,U_369),U_363),s(U_367,U_345))) ) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ETYPE__DEFINITION_2E2(s(tyop_2Emin_2Efun(U_369,tyop_2Emin_2Ebool),U_365),s(tyop_2Emin_2Efun(U_367,U_369),U_363)))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK30]),skolemize(U_361,sK30(U_370,U_368,U_366,U_364))],[f_78_6]) ).
fof(f_78_8,plain,
( ! [U_370,U_368,U_366,U_364] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ETYPE__DEFINITION_2E2(s(tyop_2Emin_2Efun(U_370,tyop_2Emin_2Ebool),U_366),s(tyop_2Emin_2Efun(U_368,U_370),U_364))))
| ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_370,tyop_2Emin_2Ebool),U_366),s(U_370,sK31(U_370,U_368,U_366,U_364)))))
& ? [U_353] : s(U_370,sK31(U_370,U_368,U_366,U_364)) = s(U_370,app_2E2(s(tyop_2Emin_2Efun(U_368,U_370),U_364),s(U_368,U_353))) )
| ( ! [U_352] : s(U_370,sK30(U_370,U_368,U_366,U_364)) != s(U_370,app_2E2(s(tyop_2Emin_2Efun(U_368,U_370),U_364),s(U_368,U_352)))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_370,tyop_2Emin_2Ebool),U_366),s(U_370,sK30(U_370,U_368,U_366,U_364))))) )
| ( s(U_368,sK28(U_370,U_368,U_366,U_364)) != s(U_368,sK29(U_370,U_368,U_366,U_364))
& s(U_370,app_2E2(s(tyop_2Emin_2Efun(U_368,U_370),U_364),s(U_368,sK28(U_370,U_368,U_366,U_364)))) = s(U_370,app_2E2(s(tyop_2Emin_2Efun(U_368,U_370),U_364),s(U_368,sK29(U_370,U_368,U_366,U_364)))) ) )
& ! [U_369,U_367,U_365,U_363] :
( ( ! [U_360] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_369,tyop_2Emin_2Ebool),U_365),s(U_369,U_360))))
| ! [U_348] : s(U_369,U_360) != s(U_369,app_2E2(s(tyop_2Emin_2Efun(U_367,U_369),U_363),s(U_367,U_348))) )
& ! [U_359] :
( s(U_369,U_359) = s(U_369,app_2E2(s(tyop_2Emin_2Efun(U_367,U_369),U_363),s(U_367,sK27(U_369,U_367,U_365,U_363,U_359))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_369,tyop_2Emin_2Ebool),U_365),s(U_369,U_359)))) )
& ! [U_346,U_345] :
( s(U_367,U_346) = s(U_367,U_345)
| s(U_369,app_2E2(s(tyop_2Emin_2Efun(U_367,U_369),U_363),s(U_367,U_346))) != s(U_369,app_2E2(s(tyop_2Emin_2Efun(U_367,U_369),U_363),s(U_367,U_345))) ) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ETYPE__DEFINITION_2E2(s(tyop_2Emin_2Efun(U_369,tyop_2Emin_2Ebool),U_365),s(tyop_2Emin_2Efun(U_367,U_369),U_363)))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31]),skolemize(U_362,sK31(U_370,U_368,U_366,U_364))],[f_78_7]) ).
fof(f_78_9,plain,
( ! [U_370,U_368,U_366,U_364] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ETYPE__DEFINITION_2E2(s(tyop_2Emin_2Efun(U_370,tyop_2Emin_2Ebool),U_366),s(tyop_2Emin_2Efun(U_368,U_370),U_364))))
| ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_370,tyop_2Emin_2Ebool),U_366),s(U_370,sK31(U_370,U_368,U_366,U_364)))))
& s(U_370,sK31(U_370,U_368,U_366,U_364)) = s(U_370,app_2E2(s(tyop_2Emin_2Efun(U_368,U_370),U_364),s(U_368,sK32(U_370,U_368,U_366,U_364)))) )
| ( ! [U_352] : s(U_370,sK30(U_370,U_368,U_366,U_364)) != s(U_370,app_2E2(s(tyop_2Emin_2Efun(U_368,U_370),U_364),s(U_368,U_352)))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_370,tyop_2Emin_2Ebool),U_366),s(U_370,sK30(U_370,U_368,U_366,U_364))))) )
| ( s(U_368,sK28(U_370,U_368,U_366,U_364)) != s(U_368,sK29(U_370,U_368,U_366,U_364))
& s(U_370,app_2E2(s(tyop_2Emin_2Efun(U_368,U_370),U_364),s(U_368,sK28(U_370,U_368,U_366,U_364)))) = s(U_370,app_2E2(s(tyop_2Emin_2Efun(U_368,U_370),U_364),s(U_368,sK29(U_370,U_368,U_366,U_364)))) ) )
& ! [U_369,U_367,U_365,U_363] :
( ( ! [U_360] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_369,tyop_2Emin_2Ebool),U_365),s(U_369,U_360))))
| ! [U_348] : s(U_369,U_360) != s(U_369,app_2E2(s(tyop_2Emin_2Efun(U_367,U_369),U_363),s(U_367,U_348))) )
& ! [U_359] :
( s(U_369,U_359) = s(U_369,app_2E2(s(tyop_2Emin_2Efun(U_367,U_369),U_363),s(U_367,sK27(U_369,U_367,U_365,U_363,U_359))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_369,tyop_2Emin_2Ebool),U_365),s(U_369,U_359)))) )
& ! [U_346,U_345] :
( s(U_367,U_346) = s(U_367,U_345)
| s(U_369,app_2E2(s(tyop_2Emin_2Efun(U_367,U_369),U_363),s(U_367,U_346))) != s(U_369,app_2E2(s(tyop_2Emin_2Efun(U_367,U_369),U_363),s(U_367,U_345))) ) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ETYPE__DEFINITION_2E2(s(tyop_2Emin_2Efun(U_369,tyop_2Emin_2Ebool),U_365),s(tyop_2Emin_2Efun(U_367,U_369),U_363)))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK32]),skolemize(U_353,sK32(U_370,U_368,U_366,U_364))],[f_78_8]) ).
cnf(f_78_10,plain,
( s(U_367,U_346) = s(U_367,U_345)
| s(U_369,app_2E2(s(tyop_2Emin_2Efun(U_367,U_369),U_363),s(U_367,U_346))) != s(U_369,app_2E2(s(tyop_2Emin_2Efun(U_367,U_369),U_363),s(U_367,U_345)))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ETYPE__DEFINITION_2E2(s(tyop_2Emin_2Efun(U_369,tyop_2Emin_2Ebool),U_365),s(tyop_2Emin_2Efun(U_367,U_369),U_363)))) ),
inference(clausify,[status(thm)],[f_78_9]) ).
cnf(f_78_11,plain,
( s(U_369,U_359) = s(U_369,app_2E2(s(tyop_2Emin_2Efun(U_367,U_369),U_363),s(U_367,sK27(U_369,U_367,U_365,U_363,U_359))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_369,tyop_2Emin_2Ebool),U_365),s(U_369,U_359))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ETYPE__DEFINITION_2E2(s(tyop_2Emin_2Efun(U_369,tyop_2Emin_2Ebool),U_365),s(tyop_2Emin_2Efun(U_367,U_369),U_363)))) ),
inference(clausify,[status(thm)],[f_78_9]) ).
cnf(f_78_12,plain,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_369,tyop_2Emin_2Ebool),U_365),s(U_369,U_360))))
| s(U_369,U_360) != s(U_369,app_2E2(s(tyop_2Emin_2Efun(U_367,U_369),U_363),s(U_367,U_348)))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ETYPE__DEFINITION_2E2(s(tyop_2Emin_2Efun(U_369,tyop_2Emin_2Ebool),U_365),s(tyop_2Emin_2Efun(U_367,U_369),U_363)))) ),
inference(clausify,[status(thm)],[f_78_9]) ).
cnf(f_78_13,plain,
( s(U_370,sK31(U_370,U_368,U_366,U_364)) = s(U_370,app_2E2(s(tyop_2Emin_2Efun(U_368,U_370),U_364),s(U_368,sK32(U_370,U_368,U_366,U_364))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_370,tyop_2Emin_2Ebool),U_366),s(U_370,sK30(U_370,U_368,U_366,U_364)))))
| s(U_370,app_2E2(s(tyop_2Emin_2Efun(U_368,U_370),U_364),s(U_368,sK28(U_370,U_368,U_366,U_364)))) = s(U_370,app_2E2(s(tyop_2Emin_2Efun(U_368,U_370),U_364),s(U_368,sK29(U_370,U_368,U_366,U_364))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ETYPE__DEFINITION_2E2(s(tyop_2Emin_2Efun(U_370,tyop_2Emin_2Ebool),U_366),s(tyop_2Emin_2Efun(U_368,U_370),U_364)))) ),
inference(clausify,[status(thm)],[f_78_9]) ).
cnf(f_78_14,plain,
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_370,tyop_2Emin_2Ebool),U_366),s(U_370,sK31(U_370,U_368,U_366,U_364)))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_370,tyop_2Emin_2Ebool),U_366),s(U_370,sK30(U_370,U_368,U_366,U_364)))))
| s(U_370,app_2E2(s(tyop_2Emin_2Efun(U_368,U_370),U_364),s(U_368,sK28(U_370,U_368,U_366,U_364)))) = s(U_370,app_2E2(s(tyop_2Emin_2Efun(U_368,U_370),U_364),s(U_368,sK29(U_370,U_368,U_366,U_364))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ETYPE__DEFINITION_2E2(s(tyop_2Emin_2Efun(U_370,tyop_2Emin_2Ebool),U_366),s(tyop_2Emin_2Efun(U_368,U_370),U_364)))) ),
inference(clausify,[status(thm)],[f_78_9]) ).
cnf(f_78_15,plain,
( s(U_370,sK31(U_370,U_368,U_366,U_364)) = s(U_370,app_2E2(s(tyop_2Emin_2Efun(U_368,U_370),U_364),s(U_368,sK32(U_370,U_368,U_366,U_364))))
| s(U_370,sK30(U_370,U_368,U_366,U_364)) != s(U_370,app_2E2(s(tyop_2Emin_2Efun(U_368,U_370),U_364),s(U_368,U_352)))
| s(U_370,app_2E2(s(tyop_2Emin_2Efun(U_368,U_370),U_364),s(U_368,sK28(U_370,U_368,U_366,U_364)))) = s(U_370,app_2E2(s(tyop_2Emin_2Efun(U_368,U_370),U_364),s(U_368,sK29(U_370,U_368,U_366,U_364))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ETYPE__DEFINITION_2E2(s(tyop_2Emin_2Efun(U_370,tyop_2Emin_2Ebool),U_366),s(tyop_2Emin_2Efun(U_368,U_370),U_364)))) ),
inference(clausify,[status(thm)],[f_78_9]) ).
cnf(f_78_16,plain,
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_370,tyop_2Emin_2Ebool),U_366),s(U_370,sK31(U_370,U_368,U_366,U_364)))))
| s(U_370,sK30(U_370,U_368,U_366,U_364)) != s(U_370,app_2E2(s(tyop_2Emin_2Efun(U_368,U_370),U_364),s(U_368,U_352)))
| s(U_370,app_2E2(s(tyop_2Emin_2Efun(U_368,U_370),U_364),s(U_368,sK28(U_370,U_368,U_366,U_364)))) = s(U_370,app_2E2(s(tyop_2Emin_2Efun(U_368,U_370),U_364),s(U_368,sK29(U_370,U_368,U_366,U_364))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ETYPE__DEFINITION_2E2(s(tyop_2Emin_2Efun(U_370,tyop_2Emin_2Ebool),U_366),s(tyop_2Emin_2Efun(U_368,U_370),U_364)))) ),
inference(clausify,[status(thm)],[f_78_9]) ).
cnf(f_78_17,plain,
( s(U_370,sK31(U_370,U_368,U_366,U_364)) = s(U_370,app_2E2(s(tyop_2Emin_2Efun(U_368,U_370),U_364),s(U_368,sK32(U_370,U_368,U_366,U_364))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_370,tyop_2Emin_2Ebool),U_366),s(U_370,sK30(U_370,U_368,U_366,U_364)))))
| s(U_368,sK28(U_370,U_368,U_366,U_364)) != s(U_368,sK29(U_370,U_368,U_366,U_364))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ETYPE__DEFINITION_2E2(s(tyop_2Emin_2Efun(U_370,tyop_2Emin_2Ebool),U_366),s(tyop_2Emin_2Efun(U_368,U_370),U_364)))) ),
inference(clausify,[status(thm)],[f_78_9]) ).
cnf(f_78_18,plain,
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_370,tyop_2Emin_2Ebool),U_366),s(U_370,sK31(U_370,U_368,U_366,U_364)))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_370,tyop_2Emin_2Ebool),U_366),s(U_370,sK30(U_370,U_368,U_366,U_364)))))
| s(U_368,sK28(U_370,U_368,U_366,U_364)) != s(U_368,sK29(U_370,U_368,U_366,U_364))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ETYPE__DEFINITION_2E2(s(tyop_2Emin_2Efun(U_370,tyop_2Emin_2Ebool),U_366),s(tyop_2Emin_2Efun(U_368,U_370),U_364)))) ),
inference(clausify,[status(thm)],[f_78_9]) ).
cnf(f_78_19,plain,
( s(U_370,sK31(U_370,U_368,U_366,U_364)) = s(U_370,app_2E2(s(tyop_2Emin_2Efun(U_368,U_370),U_364),s(U_368,sK32(U_370,U_368,U_366,U_364))))
| s(U_370,sK30(U_370,U_368,U_366,U_364)) != s(U_370,app_2E2(s(tyop_2Emin_2Efun(U_368,U_370),U_364),s(U_368,U_352)))
| s(U_368,sK28(U_370,U_368,U_366,U_364)) != s(U_368,sK29(U_370,U_368,U_366,U_364))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ETYPE__DEFINITION_2E2(s(tyop_2Emin_2Efun(U_370,tyop_2Emin_2Ebool),U_366),s(tyop_2Emin_2Efun(U_368,U_370),U_364)))) ),
inference(clausify,[status(thm)],[f_78_9]) ).
cnf(f_78_20,plain,
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_370,tyop_2Emin_2Ebool),U_366),s(U_370,sK31(U_370,U_368,U_366,U_364)))))
| s(U_370,sK30(U_370,U_368,U_366,U_364)) != s(U_370,app_2E2(s(tyop_2Emin_2Efun(U_368,U_370),U_364),s(U_368,U_352)))
| s(U_368,sK28(U_370,U_368,U_366,U_364)) != s(U_368,sK29(U_370,U_368,U_366,U_364))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ETYPE__DEFINITION_2E2(s(tyop_2Emin_2Efun(U_370,tyop_2Emin_2Ebool),U_366),s(tyop_2Emin_2Efun(U_368,U_370),U_364)))) ),
inference(clausify,[status(thm)],[f_78_9]) ).
fof(f_79_1,plain,
! [A_27a,A_27b,V0x_2E0,V1x_27_2E0] : s(A_27b,c_2Ebool_2Eliteral__case_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0),s(A_27a,V1x_27_2E0))) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0),s(A_27a,V1x_27_2E0))),
inference(fof_nnf,[status(thm)],[thm_2Ebool_2Eliteral__case__DEF]) ).
fof(f_79_2,plain,
! [U_374,U_373,U_372,U_371] : s(U_373,c_2Ebool_2Eliteral__case_2E2(s(tyop_2Emin_2Efun(U_374,U_373),U_372),s(U_374,U_371))) = s(U_373,app_2E2(s(tyop_2Emin_2Efun(U_374,U_373),U_372),s(U_374,U_371))),
inference(variable_rename,[status(thm)],[f_79_1]) ).
cnf(f_79_3,plain,
s(U_373,c_2Ebool_2Eliteral__case_2E2(s(tyop_2Emin_2Efun(U_374,U_373),U_372),s(U_374,U_371))) = s(U_373,app_2E2(s(tyop_2Emin_2Efun(U_374,U_373),U_372),s(U_374,U_371))),
inference(clausify,[status(thm)],[f_79_2]) ).
fof(f_80_1,plain,
! [A_27a,V0x_2E0,V1x_27_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,V0x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0),s(A_27a,V0x_2E0))),
inference(fof_nnf,[status(thm)],[thm_2Ebool_2EIN__DEF]) ).
fof(f_80_2,plain,
! [U_377,U_376,U_375] : s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(U_377,U_376),s(tyop_2Emin_2Efun(U_377,tyop_2Emin_2Ebool),U_375))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_377,tyop_2Emin_2Ebool),U_375),s(U_377,U_376))),
inference(variable_rename,[status(thm)],[f_80_1]) ).
cnf(f_80_3,plain,
s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(U_377,U_376),s(tyop_2Emin_2Efun(U_377,tyop_2Emin_2Ebool),U_375))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_377,tyop_2Emin_2Ebool),U_375),s(U_377,U_376))),
inference(clausify,[status(thm)],[f_80_2]) ).
fof(f_81_1,plain,
! [A_27a,V0x_2E0,V1x_27_2E0] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0))))
| ? [V2x_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0),s(A_27a,V2x_2E0))))
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,V2x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0)))) ) )
& ( ! [V2x_2E0] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0),s(A_27a,V2x_2E0))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,V2x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0)))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0)))) ) ),
inference(fof_nnf,[status(thm)],[thm_2Ebool_2ERES__FORALL__DEF]) ).
fof(f_81_2,plain,
! [U_382,U_381,U_380] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_382,tyop_2Emin_2Ebool),U_381),s(tyop_2Emin_2Efun(U_382,tyop_2Emin_2Ebool),U_380))))
| ? [U_379] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_382,tyop_2Emin_2Ebool),U_380),s(U_382,U_379))))
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(U_382,U_379),s(tyop_2Emin_2Efun(U_382,tyop_2Emin_2Ebool),U_381)))) ) )
& ( ! [U_378] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_382,tyop_2Emin_2Ebool),U_380),s(U_382,U_378))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(U_382,U_378),s(tyop_2Emin_2Efun(U_382,tyop_2Emin_2Ebool),U_381)))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_382,tyop_2Emin_2Ebool),U_381),s(tyop_2Emin_2Efun(U_382,tyop_2Emin_2Ebool),U_380)))) ) ),
inference(variable_rename,[status(thm)],[f_81_1]) ).
fof(f_81_3,plain,
( ! [U_388,U_386,U_384] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_388,tyop_2Emin_2Ebool),U_386),s(tyop_2Emin_2Efun(U_388,tyop_2Emin_2Ebool),U_384))))
| ? [U_379] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_388,tyop_2Emin_2Ebool),U_384),s(U_388,U_379))))
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(U_388,U_379),s(tyop_2Emin_2Efun(U_388,tyop_2Emin_2Ebool),U_386)))) ) )
& ! [U_387,U_385,U_383] :
( ! [U_378] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_387,tyop_2Emin_2Ebool),U_383),s(U_387,U_378))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(U_387,U_378),s(tyop_2Emin_2Efun(U_387,tyop_2Emin_2Ebool),U_385)))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_387,tyop_2Emin_2Ebool),U_385),s(tyop_2Emin_2Efun(U_387,tyop_2Emin_2Ebool),U_383)))) ) ),
inference(miniscope,[status(thm)],[f_81_2]) ).
fof(f_81_4,plain,
( ! [U_388,U_386,U_384] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_388,tyop_2Emin_2Ebool),U_386),s(tyop_2Emin_2Efun(U_388,tyop_2Emin_2Ebool),U_384))))
| ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_388,tyop_2Emin_2Ebool),U_384),s(U_388,sK33(U_388,U_386,U_384)))))
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(U_388,sK33(U_388,U_386,U_384)),s(tyop_2Emin_2Efun(U_388,tyop_2Emin_2Ebool),U_386)))) ) )
& ! [U_387,U_385,U_383] :
( ! [U_378] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_387,tyop_2Emin_2Ebool),U_383),s(U_387,U_378))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(U_387,U_378),s(tyop_2Emin_2Efun(U_387,tyop_2Emin_2Ebool),U_385)))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_387,tyop_2Emin_2Ebool),U_385),s(tyop_2Emin_2Efun(U_387,tyop_2Emin_2Ebool),U_383)))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK33]),skolemize(U_379,sK33(U_388,U_386,U_384))],[f_81_3]) ).
cnf(f_81_5,plain,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_387,tyop_2Emin_2Ebool),U_383),s(U_387,U_378))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(U_387,U_378),s(tyop_2Emin_2Efun(U_387,tyop_2Emin_2Ebool),U_385))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_387,tyop_2Emin_2Ebool),U_385),s(tyop_2Emin_2Efun(U_387,tyop_2Emin_2Ebool),U_383)))) ),
inference(clausify,[status(thm)],[f_81_4]) ).
cnf(f_81_6,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(U_388,sK33(U_388,U_386,U_384)),s(tyop_2Emin_2Efun(U_388,tyop_2Emin_2Ebool),U_386))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_388,tyop_2Emin_2Ebool),U_386),s(tyop_2Emin_2Efun(U_388,tyop_2Emin_2Ebool),U_384)))) ),
inference(clausify,[status(thm)],[f_81_4]) ).
cnf(f_81_7,plain,
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_388,tyop_2Emin_2Ebool),U_384),s(U_388,sK33(U_388,U_386,U_384)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_388,tyop_2Emin_2Ebool),U_386),s(tyop_2Emin_2Efun(U_388,tyop_2Emin_2Ebool),U_384)))) ),
inference(clausify,[status(thm)],[f_81_4]) ).
fof(f_82_1,plain,
! [A_27a,V0x_2E0,V1x_27_2E0] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0))))
| ! [V2x_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0),s(A_27a,V2x_2E0))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,V2x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0)))) ) )
& ( ? [V2x_2E0] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0),s(A_27a,V2x_2E0))))
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,V2x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0)))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0)))) ) ),
inference(fof_nnf,[status(thm)],[thm_2Ebool_2ERES__EXISTS__DEF]) ).
fof(f_82_2,plain,
! [U_393,U_392,U_391] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(U_393,tyop_2Emin_2Ebool),U_392),s(tyop_2Emin_2Efun(U_393,tyop_2Emin_2Ebool),U_391))))
| ! [U_390] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_393,tyop_2Emin_2Ebool),U_391),s(U_393,U_390))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(U_393,U_390),s(tyop_2Emin_2Efun(U_393,tyop_2Emin_2Ebool),U_392)))) ) )
& ( ? [U_389] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_393,tyop_2Emin_2Ebool),U_391),s(U_393,U_389))))
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(U_393,U_389),s(tyop_2Emin_2Efun(U_393,tyop_2Emin_2Ebool),U_392)))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(U_393,tyop_2Emin_2Ebool),U_392),s(tyop_2Emin_2Efun(U_393,tyop_2Emin_2Ebool),U_391)))) ) ),
inference(variable_rename,[status(thm)],[f_82_1]) ).
fof(f_82_3,plain,
( ! [U_399,U_397,U_395] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(U_399,tyop_2Emin_2Ebool),U_397),s(tyop_2Emin_2Efun(U_399,tyop_2Emin_2Ebool),U_395))))
| ! [U_390] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_399,tyop_2Emin_2Ebool),U_395),s(U_399,U_390))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(U_399,U_390),s(tyop_2Emin_2Efun(U_399,tyop_2Emin_2Ebool),U_397)))) ) )
& ! [U_398,U_396,U_394] :
( ? [U_389] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_398,tyop_2Emin_2Ebool),U_394),s(U_398,U_389))))
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(U_398,U_389),s(tyop_2Emin_2Efun(U_398,tyop_2Emin_2Ebool),U_396)))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(U_398,tyop_2Emin_2Ebool),U_396),s(tyop_2Emin_2Efun(U_398,tyop_2Emin_2Ebool),U_394)))) ) ),
inference(miniscope,[status(thm)],[f_82_2]) ).
fof(f_82_4,plain,
( ! [U_399,U_397,U_395] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(U_399,tyop_2Emin_2Ebool),U_397),s(tyop_2Emin_2Efun(U_399,tyop_2Emin_2Ebool),U_395))))
| ! [U_390] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_399,tyop_2Emin_2Ebool),U_395),s(U_399,U_390))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(U_399,U_390),s(tyop_2Emin_2Efun(U_399,tyop_2Emin_2Ebool),U_397)))) ) )
& ! [U_398,U_396,U_394] :
( ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_398,tyop_2Emin_2Ebool),U_394),s(U_398,sK34(U_398,U_396,U_394)))))
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(U_398,sK34(U_398,U_396,U_394)),s(tyop_2Emin_2Efun(U_398,tyop_2Emin_2Ebool),U_396)))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(U_398,tyop_2Emin_2Ebool),U_396),s(tyop_2Emin_2Efun(U_398,tyop_2Emin_2Ebool),U_394)))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK34]),skolemize(U_389,sK34(U_398,U_396,U_394))],[f_82_3]) ).
cnf(f_82_5,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(U_398,sK34(U_398,U_396,U_394)),s(tyop_2Emin_2Efun(U_398,tyop_2Emin_2Ebool),U_396))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(U_398,tyop_2Emin_2Ebool),U_396),s(tyop_2Emin_2Efun(U_398,tyop_2Emin_2Ebool),U_394)))) ),
inference(clausify,[status(thm)],[f_82_4]) ).
cnf(f_82_6,plain,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_398,tyop_2Emin_2Ebool),U_394),s(U_398,sK34(U_398,U_396,U_394)))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(U_398,tyop_2Emin_2Ebool),U_396),s(tyop_2Emin_2Efun(U_398,tyop_2Emin_2Ebool),U_394)))) ),
inference(clausify,[status(thm)],[f_82_4]) ).
cnf(f_82_7,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(U_399,tyop_2Emin_2Ebool),U_397),s(tyop_2Emin_2Efun(U_399,tyop_2Emin_2Ebool),U_395))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_399,tyop_2Emin_2Ebool),U_395),s(U_399,U_390))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(U_399,U_390),s(tyop_2Emin_2Efun(U_399,tyop_2Emin_2Ebool),U_397)))) ),
inference(clausify,[status(thm)],[f_82_4]) ).
fof(f_83_1,plain,
! [A_27a,F2_2E0,F1_2E0,F0_2E0] :
( ! [V0x_2E0,V1x_27_2E0] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool))),F1_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),F0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0)))))) )
& ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool))),F1_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0))))))
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),F0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0)))))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0)))) ) )
| ? [V1x_27_2E0,V2x_2E0] : s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),F0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0))),s(A_27a,V2x_2E0))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0),s(A_27a,V2x_2E0)))
| ? [V0x_2E0,V1x_27_2E0,V3x_2E0] : s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool))),F1_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0))),s(A_27a,V3x_2E0))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),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)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool))),F2_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0))),s(A_27a,V3x_2E0)))))
| ? [V1x_27_2E0,V3x_2E0,V4y_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)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool))),F2_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0))),s(A_27a,V3x_2E0))),s(A_27a,V4y_2E0))))
& ( s(A_27a,V3x_2E0) = s(A_27a,V4y_2E0)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0),s(A_27a,V4y_2E0))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0),s(A_27a,V3x_2E0)))) ) )
| ( s(A_27a,V3x_2E0) != s(A_27a,V4y_2E0)
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0),s(A_27a,V4y_2E0))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0),s(A_27a,V3x_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)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool))),F2_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0))),s(A_27a,V3x_2E0))),s(A_27a,V4y_2E0)))) ) ) ),
inference(fof_nnf,[status(thm)],[thm_2Ebool_2ERES__EXISTS__UNIQUE__DEF]) ).
fof(f_83_2,plain,
! [U_413,U_412,U_411,U_410] :
( ! [U_409,U_408] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_409),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_408))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_409),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_409))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_408))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_409),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_408)))))) )
& ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_409),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_409))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_408))))))
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_409),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_408)))))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_409),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_408)))) ) )
| ? [U_407,U_406] : s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_407))),s(U_413,U_406))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_407),s(U_413,U_406)))
| ? [U_405,U_404,U_403] : s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_405))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_404))),s(U_413,U_403))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_405),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_404))),s(U_413,U_403)))))
| ? [U_402,U_401,U_400] :
( ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_402))),s(U_413,U_401))),s(U_413,U_400))))
& ( s(U_413,U_401) = s(U_413,U_400)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_402),s(U_413,U_400))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_402),s(U_413,U_401)))) ) )
| ( s(U_413,U_401) != s(U_413,U_400)
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_402),s(U_413,U_400))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_402),s(U_413,U_401))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_402))),s(U_413,U_401))),s(U_413,U_400)))) ) ) ),
inference(variable_rename,[status(thm)],[f_83_1]) ).
fof(f_83_3,plain,
! [U_413,U_412] :
( ! [U_411] :
( ! [U_410] :
( ( ! [U_423,U_421] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421)))))) )
& ! [U_422,U_420] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420))))))
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420)))))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420)))) ) )
| ? [U_407,U_406] : s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_407))),s(U_413,U_406))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_407),s(U_413,U_406))) )
| ? [U_405,U_404,U_403] : s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_405))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_404))),s(U_413,U_403))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_405),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_404))),s(U_413,U_403))))) )
| ? [U_419,U_417,U_415] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_419))),s(U_413,U_417))),s(U_413,U_415))))
& ( s(U_413,U_417) = s(U_413,U_415)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_419),s(U_413,U_415))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_419),s(U_413,U_417)))) ) )
| ? [U_418,U_416,U_414] :
( s(U_413,U_416) != s(U_413,U_414)
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_418),s(U_413,U_414))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_418),s(U_413,U_416))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_418))),s(U_413,U_416))),s(U_413,U_414)))) ) ),
inference(miniscope,[status(thm)],[f_83_2]) ).
fof(f_83_4,plain,
! [U_413,U_412] :
( ! [U_411] :
( ! [U_410] :
( ( ! [U_423,U_421] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421)))))) )
& ! [U_422,U_420] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420))))))
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420)))))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420)))) ) )
| ? [U_407,U_406] : s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_407))),s(U_413,U_406))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_407),s(U_413,U_406))) )
| ? [U_405,U_404,U_403] : s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_405))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_404))),s(U_413,U_403))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_405),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_404))),s(U_413,U_403))))) )
| ? [U_419,U_417,U_415] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_419))),s(U_413,U_417))),s(U_413,U_415))))
& ( s(U_413,U_417) = s(U_413,U_415)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_419),s(U_413,U_415))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_419),s(U_413,U_417)))) ) )
| ? [U_416,U_414] :
( s(U_413,U_416) != s(U_413,U_414)
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK35(U_413,U_412)),s(U_413,U_414))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK35(U_413,U_412)),s(U_413,U_416))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK35(U_413,U_412)))),s(U_413,U_416))),s(U_413,U_414)))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK35]),skolemize(U_418,sK35(U_413,U_412))],[f_83_3]) ).
fof(f_83_5,plain,
! [U_413,U_412] :
( ! [U_411] :
( ! [U_410] :
( ( ! [U_423,U_421] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421)))))) )
& ! [U_422,U_420] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420))))))
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420)))))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420)))) ) )
| ? [U_407,U_406] : s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_407))),s(U_413,U_406))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_407),s(U_413,U_406))) )
| ? [U_405,U_404,U_403] : s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_405))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_404))),s(U_413,U_403))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_405),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_404))),s(U_413,U_403))))) )
| ? [U_419,U_417,U_415] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_419))),s(U_413,U_417))),s(U_413,U_415))))
& ( s(U_413,U_417) = s(U_413,U_415)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_419),s(U_413,U_415))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_419),s(U_413,U_417)))) ) )
| ? [U_414] :
( s(U_413,sK36(U_413,U_412)) != s(U_413,U_414)
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK35(U_413,U_412)),s(U_413,U_414))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK35(U_413,U_412)),s(U_413,sK36(U_413,U_412)))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK35(U_413,U_412)))),s(U_413,sK36(U_413,U_412)))),s(U_413,U_414)))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK36]),skolemize(U_416,sK36(U_413,U_412))],[f_83_4]) ).
fof(f_83_6,plain,
! [U_413,U_412] :
( ! [U_411] :
( ! [U_410] :
( ( ! [U_423,U_421] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421)))))) )
& ! [U_422,U_420] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420))))))
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420)))))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420)))) ) )
| ? [U_407,U_406] : s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_407))),s(U_413,U_406))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_407),s(U_413,U_406))) )
| ? [U_405,U_404,U_403] : s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_405))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_404))),s(U_413,U_403))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_405),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_404))),s(U_413,U_403))))) )
| ? [U_419,U_417,U_415] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_419))),s(U_413,U_417))),s(U_413,U_415))))
& ( s(U_413,U_417) = s(U_413,U_415)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_419),s(U_413,U_415))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_419),s(U_413,U_417)))) ) )
| ( s(U_413,sK36(U_413,U_412)) != s(U_413,sK37(U_413,U_412))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK35(U_413,U_412)),s(U_413,sK37(U_413,U_412)))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK35(U_413,U_412)),s(U_413,sK36(U_413,U_412)))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK35(U_413,U_412)))),s(U_413,sK36(U_413,U_412)))),s(U_413,sK37(U_413,U_412))))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK37]),skolemize(U_414,sK37(U_413,U_412))],[f_83_5]) ).
fof(f_83_7,plain,
! [U_413,U_412] :
( ! [U_411] :
( ! [U_410] :
( ( ! [U_423,U_421] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421)))))) )
& ! [U_422,U_420] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420))))))
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420)))))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420)))) ) )
| ? [U_407,U_406] : s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_407))),s(U_413,U_406))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_407),s(U_413,U_406))) )
| ? [U_405,U_404,U_403] : s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_405))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_404))),s(U_413,U_403))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_405),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_404))),s(U_413,U_403))))) )
| ? [U_417,U_415] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)))),s(U_413,U_417))),s(U_413,U_415))))
& ( s(U_413,U_417) = s(U_413,U_415)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)),s(U_413,U_415))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)),s(U_413,U_417)))) ) )
| ( s(U_413,sK36(U_413,U_412)) != s(U_413,sK37(U_413,U_412))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK35(U_413,U_412)),s(U_413,sK37(U_413,U_412)))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK35(U_413,U_412)),s(U_413,sK36(U_413,U_412)))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK35(U_413,U_412)))),s(U_413,sK36(U_413,U_412)))),s(U_413,sK37(U_413,U_412))))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK38]),skolemize(U_419,sK38(U_413,U_412))],[f_83_6]) ).
fof(f_83_8,plain,
! [U_413,U_412] :
( ! [U_411] :
( ! [U_410] :
( ( ! [U_423,U_421] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421)))))) )
& ! [U_422,U_420] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420))))))
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420)))))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420)))) ) )
| ? [U_407,U_406] : s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_407))),s(U_413,U_406))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_407),s(U_413,U_406))) )
| ? [U_405,U_404,U_403] : s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_405))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_404))),s(U_413,U_403))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_405),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_404))),s(U_413,U_403))))) )
| ? [U_415] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)))),s(U_413,sK39(U_413,U_412)))),s(U_413,U_415))))
& ( s(U_413,sK39(U_413,U_412)) = s(U_413,U_415)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)),s(U_413,U_415))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)),s(U_413,sK39(U_413,U_412))))) ) )
| ( s(U_413,sK36(U_413,U_412)) != s(U_413,sK37(U_413,U_412))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK35(U_413,U_412)),s(U_413,sK37(U_413,U_412)))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK35(U_413,U_412)),s(U_413,sK36(U_413,U_412)))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK35(U_413,U_412)))),s(U_413,sK36(U_413,U_412)))),s(U_413,sK37(U_413,U_412))))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK39]),skolemize(U_417,sK39(U_413,U_412))],[f_83_7]) ).
fof(f_83_9,plain,
! [U_413,U_412] :
( ! [U_411] :
( ! [U_410] :
( ( ! [U_423,U_421] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421)))))) )
& ! [U_422,U_420] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420))))))
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420)))))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420)))) ) )
| ? [U_407,U_406] : s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_407))),s(U_413,U_406))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_407),s(U_413,U_406))) )
| ? [U_405,U_404,U_403] : s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_405))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_404))),s(U_413,U_403))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_405),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_404))),s(U_413,U_403))))) )
| ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)))),s(U_413,sK39(U_413,U_412)))),s(U_413,sK40(U_413,U_412)))))
& ( s(U_413,sK39(U_413,U_412)) = s(U_413,sK40(U_413,U_412))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)),s(U_413,sK40(U_413,U_412)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)),s(U_413,sK39(U_413,U_412))))) ) )
| ( s(U_413,sK36(U_413,U_412)) != s(U_413,sK37(U_413,U_412))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK35(U_413,U_412)),s(U_413,sK37(U_413,U_412)))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK35(U_413,U_412)),s(U_413,sK36(U_413,U_412)))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK35(U_413,U_412)))),s(U_413,sK36(U_413,U_412)))),s(U_413,sK37(U_413,U_412))))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK40]),skolemize(U_415,sK40(U_413,U_412))],[f_83_8]) ).
fof(f_83_10,plain,
! [U_413,U_412] :
( ! [U_411] :
( ! [U_410] :
( ( ! [U_423,U_421] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421)))))) )
& ! [U_422,U_420] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420))))))
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420)))))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420)))) ) )
| ? [U_407,U_406] : s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_407))),s(U_413,U_406))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_407),s(U_413,U_406))) )
| ? [U_404,U_403] : s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_404))),s(U_413,U_403))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_404))),s(U_413,U_403))))) )
| ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)))),s(U_413,sK39(U_413,U_412)))),s(U_413,sK40(U_413,U_412)))))
& ( s(U_413,sK39(U_413,U_412)) = s(U_413,sK40(U_413,U_412))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)),s(U_413,sK40(U_413,U_412)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)),s(U_413,sK39(U_413,U_412))))) ) )
| ( s(U_413,sK36(U_413,U_412)) != s(U_413,sK37(U_413,U_412))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK35(U_413,U_412)),s(U_413,sK37(U_413,U_412)))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK35(U_413,U_412)),s(U_413,sK36(U_413,U_412)))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK35(U_413,U_412)))),s(U_413,sK36(U_413,U_412)))),s(U_413,sK37(U_413,U_412))))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK41]),skolemize(U_405,sK41(U_413,U_412,U_411))],[f_83_9]) ).
fof(f_83_11,plain,
! [U_413,U_412] :
( ! [U_411] :
( ! [U_410] :
( ( ! [U_423,U_421] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421)))))) )
& ! [U_422,U_420] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420))))))
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420)))))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420)))) ) )
| ? [U_407,U_406] : s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_407))),s(U_413,U_406))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_407),s(U_413,U_406))) )
| ? [U_403] : s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK42(U_413,U_412,U_411)))),s(U_413,U_403))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK42(U_413,U_412,U_411)))),s(U_413,U_403))))) )
| ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)))),s(U_413,sK39(U_413,U_412)))),s(U_413,sK40(U_413,U_412)))))
& ( s(U_413,sK39(U_413,U_412)) = s(U_413,sK40(U_413,U_412))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)),s(U_413,sK40(U_413,U_412)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)),s(U_413,sK39(U_413,U_412))))) ) )
| ( s(U_413,sK36(U_413,U_412)) != s(U_413,sK37(U_413,U_412))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK35(U_413,U_412)),s(U_413,sK37(U_413,U_412)))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK35(U_413,U_412)),s(U_413,sK36(U_413,U_412)))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK35(U_413,U_412)))),s(U_413,sK36(U_413,U_412)))),s(U_413,sK37(U_413,U_412))))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK42]),skolemize(U_404,sK42(U_413,U_412,U_411))],[f_83_10]) ).
fof(f_83_12,plain,
! [U_413,U_412] :
( ! [U_411] :
( ! [U_410] :
( ( ! [U_423,U_421] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421)))))) )
& ! [U_422,U_420] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420))))))
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420)))))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420)))) ) )
| ? [U_407,U_406] : s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_407))),s(U_413,U_406))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_407),s(U_413,U_406))) )
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK42(U_413,U_412,U_411)))),s(U_413,sK43(U_413,U_412,U_411)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK42(U_413,U_412,U_411)))),s(U_413,sK43(U_413,U_412,U_411)))))) )
| ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)))),s(U_413,sK39(U_413,U_412)))),s(U_413,sK40(U_413,U_412)))))
& ( s(U_413,sK39(U_413,U_412)) = s(U_413,sK40(U_413,U_412))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)),s(U_413,sK40(U_413,U_412)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)),s(U_413,sK39(U_413,U_412))))) ) )
| ( s(U_413,sK36(U_413,U_412)) != s(U_413,sK37(U_413,U_412))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK35(U_413,U_412)),s(U_413,sK37(U_413,U_412)))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK35(U_413,U_412)),s(U_413,sK36(U_413,U_412)))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK35(U_413,U_412)))),s(U_413,sK36(U_413,U_412)))),s(U_413,sK37(U_413,U_412))))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK43]),skolemize(U_403,sK43(U_413,U_412,U_411))],[f_83_11]) ).
fof(f_83_13,plain,
! [U_413,U_412] :
( ! [U_411] :
( ! [U_410] :
( ( ! [U_423,U_421] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421)))))) )
& ! [U_422,U_420] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420))))))
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420)))))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420)))) ) )
| ? [U_406] : s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK44(U_413,U_412,U_411,U_410)))),s(U_413,U_406))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK44(U_413,U_412,U_411,U_410)),s(U_413,U_406))) )
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK42(U_413,U_412,U_411)))),s(U_413,sK43(U_413,U_412,U_411)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK42(U_413,U_412,U_411)))),s(U_413,sK43(U_413,U_412,U_411)))))) )
| ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)))),s(U_413,sK39(U_413,U_412)))),s(U_413,sK40(U_413,U_412)))))
& ( s(U_413,sK39(U_413,U_412)) = s(U_413,sK40(U_413,U_412))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)),s(U_413,sK40(U_413,U_412)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)),s(U_413,sK39(U_413,U_412))))) ) )
| ( s(U_413,sK36(U_413,U_412)) != s(U_413,sK37(U_413,U_412))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK35(U_413,U_412)),s(U_413,sK37(U_413,U_412)))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK35(U_413,U_412)),s(U_413,sK36(U_413,U_412)))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK35(U_413,U_412)))),s(U_413,sK36(U_413,U_412)))),s(U_413,sK37(U_413,U_412))))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK44]),skolemize(U_407,sK44(U_413,U_412,U_411,U_410))],[f_83_12]) ).
fof(f_83_14,plain,
! [U_413,U_412] :
( ! [U_411] :
( ! [U_410] :
( ( ! [U_423,U_421] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421)))))) )
& ! [U_422,U_420] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420))))))
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420)))))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420)))) ) )
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK44(U_413,U_412,U_411,U_410)))),s(U_413,sK45(U_413,U_412,U_411,U_410)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK44(U_413,U_412,U_411,U_410)),s(U_413,sK45(U_413,U_412,U_411,U_410)))) )
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK42(U_413,U_412,U_411)))),s(U_413,sK43(U_413,U_412,U_411)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK42(U_413,U_412,U_411)))),s(U_413,sK43(U_413,U_412,U_411)))))) )
| ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)))),s(U_413,sK39(U_413,U_412)))),s(U_413,sK40(U_413,U_412)))))
& ( s(U_413,sK39(U_413,U_412)) = s(U_413,sK40(U_413,U_412))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)),s(U_413,sK40(U_413,U_412)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)),s(U_413,sK39(U_413,U_412))))) ) )
| ( s(U_413,sK36(U_413,U_412)) != s(U_413,sK37(U_413,U_412))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK35(U_413,U_412)),s(U_413,sK37(U_413,U_412)))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK35(U_413,U_412)),s(U_413,sK36(U_413,U_412)))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK35(U_413,U_412)))),s(U_413,sK36(U_413,U_412)))),s(U_413,sK37(U_413,U_412))))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK45]),skolemize(U_406,sK45(U_413,U_412,U_411,U_410))],[f_83_13]) ).
cnf(f_83_15,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK44(U_413,U_412,U_411,U_410)))),s(U_413,sK45(U_413,U_412,U_411,U_410)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK44(U_413,U_412,U_411,U_410)),s(U_413,sK45(U_413,U_412,U_411,U_410))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK42(U_413,U_412,U_411)))),s(U_413,sK43(U_413,U_412,U_411)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK42(U_413,U_412,U_411)))),s(U_413,sK43(U_413,U_412,U_411))))))
| s(U_413,sK39(U_413,U_412)) = s(U_413,sK40(U_413,U_412))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)),s(U_413,sK40(U_413,U_412)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)),s(U_413,sK39(U_413,U_412)))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK35(U_413,U_412)))),s(U_413,sK36(U_413,U_412)))),s(U_413,sK37(U_413,U_412))))) ),
inference(clausify,[status(thm)],[f_83_14]) ).
cnf(f_83_16,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK44(U_413,U_412,U_411,U_410)))),s(U_413,sK45(U_413,U_412,U_411,U_410)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK44(U_413,U_412,U_411,U_410)),s(U_413,sK45(U_413,U_412,U_411,U_410))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK42(U_413,U_412,U_411)))),s(U_413,sK43(U_413,U_412,U_411)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK42(U_413,U_412,U_411)))),s(U_413,sK43(U_413,U_412,U_411))))))
| s(U_413,sK39(U_413,U_412)) = s(U_413,sK40(U_413,U_412))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)),s(U_413,sK40(U_413,U_412)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)),s(U_413,sK39(U_413,U_412)))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK35(U_413,U_412)))),s(U_413,sK36(U_413,U_412)))),s(U_413,sK37(U_413,U_412))))) ),
inference(clausify,[status(thm)],[f_83_14]) ).
cnf(f_83_17,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK44(U_413,U_412,U_411,U_410)))),s(U_413,sK45(U_413,U_412,U_411,U_410)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK44(U_413,U_412,U_411,U_410)),s(U_413,sK45(U_413,U_412,U_411,U_410))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK42(U_413,U_412,U_411)))),s(U_413,sK43(U_413,U_412,U_411)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK42(U_413,U_412,U_411)))),s(U_413,sK43(U_413,U_412,U_411))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)))),s(U_413,sK39(U_413,U_412)))),s(U_413,sK40(U_413,U_412)))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK35(U_413,U_412)))),s(U_413,sK36(U_413,U_412)))),s(U_413,sK37(U_413,U_412))))) ),
inference(clausify,[status(thm)],[f_83_14]) ).
cnf(f_83_18,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK44(U_413,U_412,U_411,U_410)))),s(U_413,sK45(U_413,U_412,U_411,U_410)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK44(U_413,U_412,U_411,U_410)),s(U_413,sK45(U_413,U_412,U_411,U_410))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK42(U_413,U_412,U_411)))),s(U_413,sK43(U_413,U_412,U_411)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK42(U_413,U_412,U_411)))),s(U_413,sK43(U_413,U_412,U_411))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)))),s(U_413,sK39(U_413,U_412)))),s(U_413,sK40(U_413,U_412)))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK35(U_413,U_412)))),s(U_413,sK36(U_413,U_412)))),s(U_413,sK37(U_413,U_412))))) ),
inference(clausify,[status(thm)],[f_83_14]) ).
cnf(f_83_19,plain,
( s(U_413,sK39(U_413,U_412)) = s(U_413,sK40(U_413,U_412))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)),s(U_413,sK40(U_413,U_412)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)),s(U_413,sK39(U_413,U_412)))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK35(U_413,U_412)))),s(U_413,sK36(U_413,U_412)))),s(U_413,sK37(U_413,U_412)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK44(U_413,U_412,U_411,U_410)))),s(U_413,sK45(U_413,U_412,U_411,U_410)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK44(U_413,U_412,U_411,U_410)),s(U_413,sK45(U_413,U_412,U_411,U_410))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK42(U_413,U_412,U_411)))),s(U_413,sK43(U_413,U_412,U_411)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK42(U_413,U_412,U_411)))),s(U_413,sK43(U_413,U_412,U_411)))))) ),
inference(clausify,[status(thm)],[f_83_14]) ).
cnf(f_83_20,plain,
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)))),s(U_413,sK39(U_413,U_412)))),s(U_413,sK40(U_413,U_412)))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK35(U_413,U_412)))),s(U_413,sK36(U_413,U_412)))),s(U_413,sK37(U_413,U_412)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK44(U_413,U_412,U_411,U_410)))),s(U_413,sK45(U_413,U_412,U_411,U_410)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK44(U_413,U_412,U_411,U_410)),s(U_413,sK45(U_413,U_412,U_411,U_410))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK42(U_413,U_412,U_411)))),s(U_413,sK43(U_413,U_412,U_411)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK42(U_413,U_412,U_411)))),s(U_413,sK43(U_413,U_412,U_411)))))) ),
inference(clausify,[status(thm)],[f_83_14]) ).
cnf(f_83_21,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK44(U_413,U_412,U_411,U_410)))),s(U_413,sK45(U_413,U_412,U_411,U_410)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK44(U_413,U_412,U_411,U_410)),s(U_413,sK45(U_413,U_412,U_411,U_410))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK42(U_413,U_412,U_411)))),s(U_413,sK43(U_413,U_412,U_411)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK42(U_413,U_412,U_411)))),s(U_413,sK43(U_413,U_412,U_411))))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK35(U_413,U_412)),s(U_413,sK36(U_413,U_412)))))
| s(U_413,sK39(U_413,U_412)) = s(U_413,sK40(U_413,U_412))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)),s(U_413,sK40(U_413,U_412)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)),s(U_413,sK39(U_413,U_412))))) ),
inference(clausify,[status(thm)],[f_83_14]) ).
cnf(f_83_22,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK44(U_413,U_412,U_411,U_410)))),s(U_413,sK45(U_413,U_412,U_411,U_410)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK44(U_413,U_412,U_411,U_410)),s(U_413,sK45(U_413,U_412,U_411,U_410))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK42(U_413,U_412,U_411)))),s(U_413,sK43(U_413,U_412,U_411)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK42(U_413,U_412,U_411)))),s(U_413,sK43(U_413,U_412,U_411))))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK35(U_413,U_412)),s(U_413,sK36(U_413,U_412)))))
| s(U_413,sK39(U_413,U_412)) = s(U_413,sK40(U_413,U_412))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)),s(U_413,sK40(U_413,U_412)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)),s(U_413,sK39(U_413,U_412))))) ),
inference(clausify,[status(thm)],[f_83_14]) ).
cnf(f_83_23,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK44(U_413,U_412,U_411,U_410)))),s(U_413,sK45(U_413,U_412,U_411,U_410)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK44(U_413,U_412,U_411,U_410)),s(U_413,sK45(U_413,U_412,U_411,U_410))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK42(U_413,U_412,U_411)))),s(U_413,sK43(U_413,U_412,U_411)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK42(U_413,U_412,U_411)))),s(U_413,sK43(U_413,U_412,U_411))))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK35(U_413,U_412)),s(U_413,sK37(U_413,U_412)))))
| s(U_413,sK39(U_413,U_412)) = s(U_413,sK40(U_413,U_412))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)),s(U_413,sK40(U_413,U_412)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)),s(U_413,sK39(U_413,U_412))))) ),
inference(clausify,[status(thm)],[f_83_14]) ).
cnf(f_83_24,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK44(U_413,U_412,U_411,U_410)))),s(U_413,sK45(U_413,U_412,U_411,U_410)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK44(U_413,U_412,U_411,U_410)),s(U_413,sK45(U_413,U_412,U_411,U_410))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK42(U_413,U_412,U_411)))),s(U_413,sK43(U_413,U_412,U_411)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK42(U_413,U_412,U_411)))),s(U_413,sK43(U_413,U_412,U_411))))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK35(U_413,U_412)),s(U_413,sK37(U_413,U_412)))))
| s(U_413,sK39(U_413,U_412)) = s(U_413,sK40(U_413,U_412))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)),s(U_413,sK40(U_413,U_412)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)),s(U_413,sK39(U_413,U_412))))) ),
inference(clausify,[status(thm)],[f_83_14]) ).
cnf(f_83_25,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK44(U_413,U_412,U_411,U_410)))),s(U_413,sK45(U_413,U_412,U_411,U_410)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK44(U_413,U_412,U_411,U_410)),s(U_413,sK45(U_413,U_412,U_411,U_410))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK42(U_413,U_412,U_411)))),s(U_413,sK43(U_413,U_412,U_411)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK42(U_413,U_412,U_411)))),s(U_413,sK43(U_413,U_412,U_411))))))
| s(U_413,sK36(U_413,U_412)) != s(U_413,sK37(U_413,U_412))
| s(U_413,sK39(U_413,U_412)) = s(U_413,sK40(U_413,U_412))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)),s(U_413,sK40(U_413,U_412)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)),s(U_413,sK39(U_413,U_412))))) ),
inference(clausify,[status(thm)],[f_83_14]) ).
cnf(f_83_26,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK44(U_413,U_412,U_411,U_410)))),s(U_413,sK45(U_413,U_412,U_411,U_410)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK44(U_413,U_412,U_411,U_410)),s(U_413,sK45(U_413,U_412,U_411,U_410))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK42(U_413,U_412,U_411)))),s(U_413,sK43(U_413,U_412,U_411)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK42(U_413,U_412,U_411)))),s(U_413,sK43(U_413,U_412,U_411))))))
| s(U_413,sK36(U_413,U_412)) != s(U_413,sK37(U_413,U_412))
| s(U_413,sK39(U_413,U_412)) = s(U_413,sK40(U_413,U_412))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)),s(U_413,sK40(U_413,U_412)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)),s(U_413,sK39(U_413,U_412))))) ),
inference(clausify,[status(thm)],[f_83_14]) ).
cnf(f_83_27,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK44(U_413,U_412,U_411,U_410)))),s(U_413,sK45(U_413,U_412,U_411,U_410)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK44(U_413,U_412,U_411,U_410)),s(U_413,sK45(U_413,U_412,U_411,U_410))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK42(U_413,U_412,U_411)))),s(U_413,sK43(U_413,U_412,U_411)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK42(U_413,U_412,U_411)))),s(U_413,sK43(U_413,U_412,U_411))))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK35(U_413,U_412)),s(U_413,sK36(U_413,U_412)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)))),s(U_413,sK39(U_413,U_412)))),s(U_413,sK40(U_413,U_412))))) ),
inference(clausify,[status(thm)],[f_83_14]) ).
cnf(f_83_28,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK44(U_413,U_412,U_411,U_410)))),s(U_413,sK45(U_413,U_412,U_411,U_410)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK44(U_413,U_412,U_411,U_410)),s(U_413,sK45(U_413,U_412,U_411,U_410))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK42(U_413,U_412,U_411)))),s(U_413,sK43(U_413,U_412,U_411)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK42(U_413,U_412,U_411)))),s(U_413,sK43(U_413,U_412,U_411))))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK35(U_413,U_412)),s(U_413,sK36(U_413,U_412)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)))),s(U_413,sK39(U_413,U_412)))),s(U_413,sK40(U_413,U_412))))) ),
inference(clausify,[status(thm)],[f_83_14]) ).
cnf(f_83_29,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK44(U_413,U_412,U_411,U_410)))),s(U_413,sK45(U_413,U_412,U_411,U_410)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK44(U_413,U_412,U_411,U_410)),s(U_413,sK45(U_413,U_412,U_411,U_410))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK42(U_413,U_412,U_411)))),s(U_413,sK43(U_413,U_412,U_411)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK42(U_413,U_412,U_411)))),s(U_413,sK43(U_413,U_412,U_411))))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK35(U_413,U_412)),s(U_413,sK37(U_413,U_412)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)))),s(U_413,sK39(U_413,U_412)))),s(U_413,sK40(U_413,U_412))))) ),
inference(clausify,[status(thm)],[f_83_14]) ).
cnf(f_83_30,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK44(U_413,U_412,U_411,U_410)))),s(U_413,sK45(U_413,U_412,U_411,U_410)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK44(U_413,U_412,U_411,U_410)),s(U_413,sK45(U_413,U_412,U_411,U_410))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK42(U_413,U_412,U_411)))),s(U_413,sK43(U_413,U_412,U_411)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK42(U_413,U_412,U_411)))),s(U_413,sK43(U_413,U_412,U_411))))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK35(U_413,U_412)),s(U_413,sK37(U_413,U_412)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)))),s(U_413,sK39(U_413,U_412)))),s(U_413,sK40(U_413,U_412))))) ),
inference(clausify,[status(thm)],[f_83_14]) ).
cnf(f_83_31,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK44(U_413,U_412,U_411,U_410)))),s(U_413,sK45(U_413,U_412,U_411,U_410)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK44(U_413,U_412,U_411,U_410)),s(U_413,sK45(U_413,U_412,U_411,U_410))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK42(U_413,U_412,U_411)))),s(U_413,sK43(U_413,U_412,U_411)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK42(U_413,U_412,U_411)))),s(U_413,sK43(U_413,U_412,U_411))))))
| s(U_413,sK36(U_413,U_412)) != s(U_413,sK37(U_413,U_412))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)))),s(U_413,sK39(U_413,U_412)))),s(U_413,sK40(U_413,U_412))))) ),
inference(clausify,[status(thm)],[f_83_14]) ).
cnf(f_83_32,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_422),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_420))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK44(U_413,U_412,U_411,U_410)))),s(U_413,sK45(U_413,U_412,U_411,U_410)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK44(U_413,U_412,U_411,U_410)),s(U_413,sK45(U_413,U_412,U_411,U_410))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK42(U_413,U_412,U_411)))),s(U_413,sK43(U_413,U_412,U_411)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK42(U_413,U_412,U_411)))),s(U_413,sK43(U_413,U_412,U_411))))))
| s(U_413,sK36(U_413,U_412)) != s(U_413,sK37(U_413,U_412))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)))),s(U_413,sK39(U_413,U_412)))),s(U_413,sK40(U_413,U_412))))) ),
inference(clausify,[status(thm)],[f_83_14]) ).
cnf(f_83_33,plain,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK35(U_413,U_412)),s(U_413,sK36(U_413,U_412)))))
| s(U_413,sK39(U_413,U_412)) = s(U_413,sK40(U_413,U_412))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)),s(U_413,sK40(U_413,U_412)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)),s(U_413,sK39(U_413,U_412)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK44(U_413,U_412,U_411,U_410)))),s(U_413,sK45(U_413,U_412,U_411,U_410)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK44(U_413,U_412,U_411,U_410)),s(U_413,sK45(U_413,U_412,U_411,U_410))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK42(U_413,U_412,U_411)))),s(U_413,sK43(U_413,U_412,U_411)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK42(U_413,U_412,U_411)))),s(U_413,sK43(U_413,U_412,U_411)))))) ),
inference(clausify,[status(thm)],[f_83_14]) ).
cnf(f_83_34,plain,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK35(U_413,U_412)),s(U_413,sK37(U_413,U_412)))))
| s(U_413,sK39(U_413,U_412)) = s(U_413,sK40(U_413,U_412))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)),s(U_413,sK40(U_413,U_412)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)),s(U_413,sK39(U_413,U_412)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK44(U_413,U_412,U_411,U_410)))),s(U_413,sK45(U_413,U_412,U_411,U_410)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK44(U_413,U_412,U_411,U_410)),s(U_413,sK45(U_413,U_412,U_411,U_410))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK42(U_413,U_412,U_411)))),s(U_413,sK43(U_413,U_412,U_411)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK42(U_413,U_412,U_411)))),s(U_413,sK43(U_413,U_412,U_411)))))) ),
inference(clausify,[status(thm)],[f_83_14]) ).
cnf(f_83_35,plain,
( s(U_413,sK36(U_413,U_412)) != s(U_413,sK37(U_413,U_412))
| s(U_413,sK39(U_413,U_412)) = s(U_413,sK40(U_413,U_412))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)),s(U_413,sK40(U_413,U_412)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)),s(U_413,sK39(U_413,U_412)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK44(U_413,U_412,U_411,U_410)))),s(U_413,sK45(U_413,U_412,U_411,U_410)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK44(U_413,U_412,U_411,U_410)),s(U_413,sK45(U_413,U_412,U_411,U_410))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK42(U_413,U_412,U_411)))),s(U_413,sK43(U_413,U_412,U_411)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK42(U_413,U_412,U_411)))),s(U_413,sK43(U_413,U_412,U_411)))))) ),
inference(clausify,[status(thm)],[f_83_14]) ).
cnf(f_83_36,plain,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK35(U_413,U_412)),s(U_413,sK36(U_413,U_412)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)))),s(U_413,sK39(U_413,U_412)))),s(U_413,sK40(U_413,U_412)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK44(U_413,U_412,U_411,U_410)))),s(U_413,sK45(U_413,U_412,U_411,U_410)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK44(U_413,U_412,U_411,U_410)),s(U_413,sK45(U_413,U_412,U_411,U_410))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK42(U_413,U_412,U_411)))),s(U_413,sK43(U_413,U_412,U_411)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK42(U_413,U_412,U_411)))),s(U_413,sK43(U_413,U_412,U_411)))))) ),
inference(clausify,[status(thm)],[f_83_14]) ).
cnf(f_83_37,plain,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK35(U_413,U_412)),s(U_413,sK37(U_413,U_412)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)))),s(U_413,sK39(U_413,U_412)))),s(U_413,sK40(U_413,U_412)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK44(U_413,U_412,U_411,U_410)))),s(U_413,sK45(U_413,U_412,U_411,U_410)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK44(U_413,U_412,U_411,U_410)),s(U_413,sK45(U_413,U_412,U_411,U_410))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK42(U_413,U_412,U_411)))),s(U_413,sK43(U_413,U_412,U_411)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK42(U_413,U_412,U_411)))),s(U_413,sK43(U_413,U_412,U_411)))))) ),
inference(clausify,[status(thm)],[f_83_14]) ).
cnf(f_83_38,plain,
( s(U_413,sK36(U_413,U_412)) != s(U_413,sK37(U_413,U_412))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK38(U_413,U_412)))),s(U_413,sK39(U_413,U_412)))),s(U_413,sK40(U_413,U_412)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_423),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),U_421))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),U_410),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK44(U_413,U_412,U_411,U_410)))),s(U_413,sK45(U_413,U_412,U_411,U_410)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK44(U_413,U_412,U_411,U_410)),s(U_413,sK45(U_413,U_412,U_411,U_410))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_411),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)))),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK42(U_413,U_412,U_411)))),s(U_413,sK43(U_413,U_412,U_411)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK41(U_413,U_412,U_411)),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_413,tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool))),U_412),s(tyop_2Emin_2Efun(U_413,tyop_2Emin_2Ebool),sK42(U_413,U_412,U_411)))),s(U_413,sK43(U_413,U_412,U_411)))))) ),
inference(clausify,[status(thm)],[f_83_14]) ).
fof(f_84_1,plain,
! [A_27a,F0_2E0] :
( ! [V0x_2E0,V1x_27_2E0] : s(A_27a,c_2Ebool_2ERES__SELECT_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0))) = s(A_27a,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool))),F0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0)))))
| ? [V0x_2E0,V1x_27_2E0,V2x_2E0] :
( ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool))),F0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0))),s(A_27a,V2x_2E0))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0),s(A_27a,V2x_2E0))))
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,V2x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0)))) )
| ( ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0),s(A_27a,V2x_2E0))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,V2x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0)))) )
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool))),F0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0))),s(A_27a,V2x_2E0)))) ) ) ),
inference(fof_nnf,[status(thm)],[thm_2Ebool_2ERES__SELECT__DEF]) ).
fof(f_84_2,plain,
! [U_430,U_429] :
( ! [U_428,U_427] : s(U_430,c_2Ebool_2ERES__SELECT_2E2(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_428),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_427))) = s(U_430,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool))),U_429),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_428))),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_427)))))
| ? [U_426,U_425,U_424] :
( ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool))),U_429),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_426))),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_425))),s(U_430,U_424))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_425),s(U_430,U_424))))
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(U_430,U_424),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_426)))) )
| ( ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_425),s(U_430,U_424))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(U_430,U_424),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_426)))) )
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool))),U_429),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_426))),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_425))),s(U_430,U_424)))) ) ) ),
inference(variable_rename,[status(thm)],[f_84_1]) ).
fof(f_84_3,plain,
! [U_430,U_429] :
( ! [U_428,U_427] : s(U_430,c_2Ebool_2ERES__SELECT_2E2(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_428),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_427))) = s(U_430,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool))),U_429),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_428))),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_427)))))
| ? [U_436,U_434,U_432] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool))),U_429),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_436))),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_434))),s(U_430,U_432))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_434),s(U_430,U_432))))
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(U_430,U_432),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_436)))) )
| ? [U_435,U_433,U_431] :
( ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_433),s(U_430,U_431))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(U_430,U_431),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_435)))) )
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool))),U_429),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_435))),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_433))),s(U_430,U_431)))) ) ),
inference(miniscope,[status(thm)],[f_84_2]) ).
fof(f_84_4,plain,
! [U_430,U_429] :
( ! [U_428,U_427] : s(U_430,c_2Ebool_2ERES__SELECT_2E2(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_428),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_427))) = s(U_430,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool))),U_429),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_428))),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_427)))))
| ? [U_436,U_434,U_432] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool))),U_429),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_436))),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_434))),s(U_430,U_432))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_434),s(U_430,U_432))))
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(U_430,U_432),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_436)))) )
| ? [U_433,U_431] :
( ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_433),s(U_430,U_431))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(U_430,U_431),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),sK46(U_430,U_429))))) )
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool))),U_429),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),sK46(U_430,U_429)))),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_433))),s(U_430,U_431)))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK46]),skolemize(U_435,sK46(U_430,U_429))],[f_84_3]) ).
fof(f_84_5,plain,
! [U_430,U_429] :
( ! [U_428,U_427] : s(U_430,c_2Ebool_2ERES__SELECT_2E2(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_428),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_427))) = s(U_430,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool))),U_429),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_428))),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_427)))))
| ? [U_436,U_434,U_432] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool))),U_429),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_436))),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_434))),s(U_430,U_432))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_434),s(U_430,U_432))))
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(U_430,U_432),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_436)))) )
| ? [U_431] :
( ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),sK47(U_430,U_429)),s(U_430,U_431))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(U_430,U_431),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),sK46(U_430,U_429))))) )
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool))),U_429),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),sK46(U_430,U_429)))),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),sK47(U_430,U_429)))),s(U_430,U_431)))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK47]),skolemize(U_433,sK47(U_430,U_429))],[f_84_4]) ).
fof(f_84_6,plain,
! [U_430,U_429] :
( ! [U_428,U_427] : s(U_430,c_2Ebool_2ERES__SELECT_2E2(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_428),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_427))) = s(U_430,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool))),U_429),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_428))),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_427)))))
| ? [U_436,U_434,U_432] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool))),U_429),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_436))),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_434))),s(U_430,U_432))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_434),s(U_430,U_432))))
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(U_430,U_432),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_436)))) )
| ( ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),sK47(U_430,U_429)),s(U_430,sK48(U_430,U_429)))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(U_430,sK48(U_430,U_429)),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),sK46(U_430,U_429))))) )
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool))),U_429),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),sK46(U_430,U_429)))),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),sK47(U_430,U_429)))),s(U_430,sK48(U_430,U_429))))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK48]),skolemize(U_431,sK48(U_430,U_429))],[f_84_5]) ).
fof(f_84_7,plain,
! [U_430,U_429] :
( ! [U_428,U_427] : s(U_430,c_2Ebool_2ERES__SELECT_2E2(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_428),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_427))) = s(U_430,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool))),U_429),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_428))),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_427)))))
| ? [U_434,U_432] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool))),U_429),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),sK49(U_430,U_429)))),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_434))),s(U_430,U_432))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_434),s(U_430,U_432))))
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(U_430,U_432),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),sK49(U_430,U_429))))) )
| ( ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),sK47(U_430,U_429)),s(U_430,sK48(U_430,U_429)))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(U_430,sK48(U_430,U_429)),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),sK46(U_430,U_429))))) )
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool))),U_429),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),sK46(U_430,U_429)))),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),sK47(U_430,U_429)))),s(U_430,sK48(U_430,U_429))))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK49]),skolemize(U_436,sK49(U_430,U_429))],[f_84_6]) ).
fof(f_84_8,plain,
! [U_430,U_429] :
( ! [U_428,U_427] : s(U_430,c_2Ebool_2ERES__SELECT_2E2(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_428),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_427))) = s(U_430,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool))),U_429),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_428))),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_427)))))
| ? [U_432] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool))),U_429),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),sK49(U_430,U_429)))),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),sK50(U_430,U_429)))),s(U_430,U_432))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),sK50(U_430,U_429)),s(U_430,U_432))))
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(U_430,U_432),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),sK49(U_430,U_429))))) )
| ( ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),sK47(U_430,U_429)),s(U_430,sK48(U_430,U_429)))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(U_430,sK48(U_430,U_429)),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),sK46(U_430,U_429))))) )
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool))),U_429),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),sK46(U_430,U_429)))),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),sK47(U_430,U_429)))),s(U_430,sK48(U_430,U_429))))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK50]),skolemize(U_434,sK50(U_430,U_429))],[f_84_7]) ).
fof(f_84_9,plain,
! [U_430,U_429] :
( ! [U_428,U_427] : s(U_430,c_2Ebool_2ERES__SELECT_2E2(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_428),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_427))) = s(U_430,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool))),U_429),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_428))),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_427)))))
| ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool))),U_429),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),sK49(U_430,U_429)))),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),sK50(U_430,U_429)))),s(U_430,sK51(U_430,U_429)))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),sK50(U_430,U_429)),s(U_430,sK51(U_430,U_429)))))
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(U_430,sK51(U_430,U_429)),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),sK49(U_430,U_429))))) )
| ( ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),sK47(U_430,U_429)),s(U_430,sK48(U_430,U_429)))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(U_430,sK48(U_430,U_429)),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),sK46(U_430,U_429))))) )
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool))),U_429),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),sK46(U_430,U_429)))),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),sK47(U_430,U_429)))),s(U_430,sK48(U_430,U_429))))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK51]),skolemize(U_432,sK51(U_430,U_429))],[f_84_8]) ).
cnf(f_84_10,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(U_430,sK51(U_430,U_429)),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),sK49(U_430,U_429)))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool))),U_429),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),sK46(U_430,U_429)))),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),sK47(U_430,U_429)))),s(U_430,sK48(U_430,U_429)))))
| s(U_430,c_2Ebool_2ERES__SELECT_2E2(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_428),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_427))) = s(U_430,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool))),U_429),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_428))),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_427))))) ),
inference(clausify,[status(thm)],[f_84_9]) ).
cnf(f_84_11,plain,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),sK50(U_430,U_429)),s(U_430,sK51(U_430,U_429)))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool))),U_429),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),sK46(U_430,U_429)))),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),sK47(U_430,U_429)))),s(U_430,sK48(U_430,U_429)))))
| s(U_430,c_2Ebool_2ERES__SELECT_2E2(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_428),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_427))) = s(U_430,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool))),U_429),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_428))),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_427))))) ),
inference(clausify,[status(thm)],[f_84_9]) ).
cnf(f_84_12,plain,
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool))),U_429),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),sK49(U_430,U_429)))),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),sK50(U_430,U_429)))),s(U_430,sK51(U_430,U_429)))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool))),U_429),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),sK46(U_430,U_429)))),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),sK47(U_430,U_429)))),s(U_430,sK48(U_430,U_429)))))
| s(U_430,c_2Ebool_2ERES__SELECT_2E2(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_428),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_427))) = s(U_430,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool))),U_429),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_428))),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_427))))) ),
inference(clausify,[status(thm)],[f_84_9]) ).
cnf(f_84_13,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(U_430,sK51(U_430,U_429)),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),sK49(U_430,U_429)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),sK47(U_430,U_429)),s(U_430,sK48(U_430,U_429)))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(U_430,sK48(U_430,U_429)),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),sK46(U_430,U_429)))))
| s(U_430,c_2Ebool_2ERES__SELECT_2E2(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_428),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_427))) = s(U_430,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool))),U_429),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_428))),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_427))))) ),
inference(clausify,[status(thm)],[f_84_9]) ).
cnf(f_84_14,plain,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),sK50(U_430,U_429)),s(U_430,sK51(U_430,U_429)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),sK47(U_430,U_429)),s(U_430,sK48(U_430,U_429)))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(U_430,sK48(U_430,U_429)),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),sK46(U_430,U_429)))))
| s(U_430,c_2Ebool_2ERES__SELECT_2E2(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_428),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_427))) = s(U_430,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool))),U_429),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_428))),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_427))))) ),
inference(clausify,[status(thm)],[f_84_9]) ).
cnf(f_84_15,plain,
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool))),U_429),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),sK49(U_430,U_429)))),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),sK50(U_430,U_429)))),s(U_430,sK51(U_430,U_429)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),sK47(U_430,U_429)),s(U_430,sK48(U_430,U_429)))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(U_430,sK48(U_430,U_429)),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),sK46(U_430,U_429)))))
| s(U_430,c_2Ebool_2ERES__SELECT_2E2(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_428),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_427))) = s(U_430,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool))),U_429),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_428))),s(tyop_2Emin_2Efun(U_430,tyop_2Emin_2Ebool),U_427))))) ),
inference(clausify,[status(thm)],[f_84_9]) ).
fof(f_85_1,plain,
! [V0x_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2EBOUNDED_2E1(s(tyop_2Emin_2Ebool,V0x_2E0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),
inference(fof_nnf,[status(thm)],[thm_2Ebool_2EBOUNDED__DEF]) ).
fof(f_85_2,plain,
! [U_437] : s(tyop_2Emin_2Ebool,c_2Ebool_2EBOUNDED_2E1(s(tyop_2Emin_2Ebool,U_437))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),
inference(variable_rename,[status(thm)],[f_85_1]) ).
cnf(f_85_3,plain,
s(tyop_2Emin_2Ebool,c_2Ebool_2EBOUNDED_2E1(s(tyop_2Emin_2Ebool,U_437))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),
inference(clausify,[status(thm)],[f_85_2]) ).
fof(f_86_1,plain,
! [A_27a,V0x_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2EDATATYPE_2E1(s(A_27a,V0x_2E0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),
inference(fof_nnf,[status(thm)],[thm_2Ebool_2EDATATYPE__TAG__DEF]) ).
fof(f_86_2,plain,
! [U_439,U_438] : s(tyop_2Emin_2Ebool,c_2Ebool_2EDATATYPE_2E1(s(U_439,U_438))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),
inference(variable_rename,[status(thm)],[f_86_1]) ).
cnf(f_86_3,plain,
s(tyop_2Emin_2Ebool,c_2Ebool_2EDATATYPE_2E1(s(U_439,U_438))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),
inference(clausify,[status(thm)],[f_86_2]) ).
fof(f_87_1,negated_conjecture,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
inference(negate,[status(cth)],[thm_2Ebool_2ETRUTH]) ).
fof(f_87_2,negated_conjecture,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
inference(definitional_conversion,[status(esa)],[f_87_1]) ).
cnf(f_87_3,negated_conjecture,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
inference(clausify,[status(thm)],[f_87_2]) ).
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_24_4_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_24_4]) ).
cnf(f_24_5_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_24_5]) ).
cnf(f_69_5_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_69_5]) ).
cnf(f_69_6_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_69_6]) ).
cnf(f_69_7_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_69_7]) ).
cnf(f_69_8_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_69_8]) ).
cnf(f_69_9_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_69_9]) ).
cnf(f_70_5_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_70_5]) ).
cnf(f_70_6_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_70_6]) ).
cnf(f_70_7_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_70_7]) ).
cnf(f_70_8_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_70_8]) ).
cnf(f_70_9_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_70_9]) ).
cnf(f_70_10_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_70_10]) ).
cnf(f_70_11_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_70_11]) ).
cnf(f_70_12_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_70_12]) ).
cnf(f_70_13_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_70_13]) ).
cnf(f_70_14_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_70_14]) ).
cnf(f_72_4_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_72_4]) ).
cnf(f_72_5_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_72_5]) ).
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_2Ebool_2E_3F_21_2E1(Eq_x_0) = c_2Ebool_2E_3F_21_2E1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_15,axiom,
( c_2Emin_2E_40_2E1(Eq_x_0) = c_2Emin_2E_40_2E1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_16,axiom,
( c_2Ebool_2EBOUNDED_2E1(Eq_x_0) = c_2Ebool_2EBOUNDED_2E1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_17,axiom,
( c_2Ebool_2EDATATYPE_2E1(Eq_x_0) = c_2Ebool_2EDATATYPE_2E1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_18,axiom,
( c_2Ebool_2EONE__ONE_2E1(Eq_x_0) = c_2Ebool_2EONE__ONE_2E1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_19,axiom,
( c_2Ebool_2EONTO_2E1(Eq_x_0) = c_2Ebool_2EONTO_2E1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_20,axiom,
( c_2Ebool_2EIN_2E2(Eq_x_0,Eq_x_1) = c_2Ebool_2EIN_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_21,axiom,
( c_2Ebool_2ELET_2E2(Eq_x_0,Eq_x_1) = c_2Ebool_2ELET_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_22,axiom,
( c_2Ebool_2ERES__EXISTS_2E2(Eq_x_0,Eq_x_1) = c_2Ebool_2ERES__EXISTS_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_23,axiom,
( c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(Eq_x_0,Eq_x_1) = c_2Ebool_2ERES__EXISTS__UNIQUE_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_24,axiom,
( c_2Ebool_2ERES__FORALL_2E2(Eq_x_0,Eq_x_1) = c_2Ebool_2ERES__FORALL_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_25,axiom,
( c_2Ebool_2ERES__SELECT_2E2(Eq_x_0,Eq_x_1) = c_2Ebool_2ERES__SELECT_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_26,axiom,
( c_2Ebool_2ETYPE__DEFINITION_2E2(Eq_x_0,Eq_x_1) = c_2Ebool_2ETYPE__DEFINITION_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_27,axiom,
( c_2Ebool_2Eliteral__case_2E2(Eq_x_0,Eq_x_1) = c_2Ebool_2Eliteral__case_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_28,axiom,
( c_2Ebool_2ECOND_2E3(Eq_x_0,Eq_x_1,Eq_x_2) = c_2Ebool_2ECOND_2E3(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_29,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_30,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_31,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_32,axiom,
( sK4(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK4(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_33,axiom,
( sK5(Eq_x_0,Eq_x_1) = sK5(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_34,axiom,
( sK6(Eq_x_0,Eq_x_1) = sK6(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_35,axiom,
( sK9(Eq_x_0,Eq_x_1) = sK9(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_36,axiom,
( sK10(Eq_x_0,Eq_x_1) = sK10(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_37,axiom,
( sK11(Eq_x_0,Eq_x_1) = sK11(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_38,axiom,
( sK13(Eq_x_0,Eq_x_1) = sK13(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_39,axiom,
( sK14(Eq_x_0,Eq_x_1) = sK14(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_40,axiom,
( sK15(Eq_x_0,Eq_x_1) = sK15(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_41,axiom,
( sK16(Eq_x_0,Eq_x_1) = sK16(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_42,axiom,
( sK17(Eq_x_0,Eq_x_1) = sK17(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_43,axiom,
( sK18(Eq_x_0,Eq_x_1) = sK18(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_44,axiom,
( sK19(Eq_x_0,Eq_x_1) = sK19(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_45,axiom,
( sK20(Eq_x_0,Eq_x_1) = sK20(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_46,axiom,
( sK21(Eq_x_0,Eq_x_1) = sK21(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_47,axiom,
( sK22(Eq_x_0,Eq_x_1) = sK22(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_48,axiom,
( sK23(Eq_x_0,Eq_x_1,Eq_x_2) = sK23(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_49,axiom,
( sK24(Eq_x_0,Eq_x_1,Eq_x_2) = sK24(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_50,axiom,
( sK25(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK25(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_51,axiom,
( sK26(Eq_x_0,Eq_x_1,Eq_x_2) = sK26(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_52,axiom,
( sK27(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK27(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| 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_53,axiom,
( sK28(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK28(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_54,axiom,
( sK29(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK29(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_55,axiom,
( sK30(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK30(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_56,axiom,
( sK31(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK31(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_57,axiom,
( sK32(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK32(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_58,axiom,
( sK33(Eq_x_0,Eq_x_1,Eq_x_2) = sK33(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_59,axiom,
( sK34(Eq_x_0,Eq_x_1,Eq_x_2) = sK34(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_60,axiom,
( sK35(Eq_x_0,Eq_x_1) = sK35(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_61,axiom,
( sK36(Eq_x_0,Eq_x_1) = sK36(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_62,axiom,
( sK37(Eq_x_0,Eq_x_1) = sK37(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_63,axiom,
( sK38(Eq_x_0,Eq_x_1) = sK38(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_64,axiom,
( sK39(Eq_x_0,Eq_x_1) = sK39(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_65,axiom,
( sK40(Eq_x_0,Eq_x_1) = sK40(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_66,axiom,
( sK41(Eq_x_0,Eq_x_1,Eq_x_2) = sK41(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_67,axiom,
( sK42(Eq_x_0,Eq_x_1,Eq_x_2) = sK42(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_68,axiom,
( sK43(Eq_x_0,Eq_x_1,Eq_x_2) = sK43(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_69,axiom,
( sK44(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK44(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_70,axiom,
( sK45(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK45(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_71,axiom,
( sK46(Eq_x_0,Eq_x_1) = sK46(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_72,axiom,
( sK47(Eq_x_0,Eq_x_1) = sK47(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_73,axiom,
( sK48(Eq_x_0,Eq_x_1) = sK48(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_74,axiom,
( sK49(Eq_x_0,Eq_x_1) = sK49(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_75,axiom,
( sK50(Eq_x_0,Eq_x_1) = sK50(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_76,axiom,
( sK51(Eq_x_0,Eq_x_1) = sK51(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_77,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 : ITP001+4 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.03 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n011.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 19 11:17:54 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.44/0.71 % SZS status Theorem for theBenchmark
% 0.44/0.71 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------